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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[601]:=
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97,199, 20,437,403,536,313,143,591,258,396,123,282, 77,179, 9,426,
422,549,320,137,578,261,388,118,291, 83,196, 23,432,402,529,309,126,
597,274,395,112,278, 86,188, 18,441,408,546,323,132,577,254,384,101,
297, 99,195, 12,428,411,538,318,141,583,271,398,107,277, 79,184)
( 5,440,405,540,305,140,580,265,380,115,280, 90,180, 15,430,415,530,
315,130,590,255,390,105,290, 80,190)( 6,450,419,535,314,142,581,275,
394,110,289, 92,181, 25,444,410,539,317,131,600,269,385,114,292, 81,
200, 19,435,414,542,306,150,594,260,389,117,281,100,194, 10,439,417,
531,325,144,585,264,392,106,300, 94,185, 14,442,406,550,319,135,589,
267,381,125,294, 85,189, 17,431,425,544,310,139,592,256,400,119,285,
89,192)( 26, 47, 49, 45, 37, 28, 36, 38, 43, 41, 33, 46, 48, 32, 27,
29, 34)( 30, 40)( 31, 50, 44, 35, 39, 42)( 51,572,349,370,612,228,
461, 63,568,341,358,621,248,457, 52,554,334,351,622,249,470, 62,553,
336,363,618,241,458, 71,573,332,352,604,234,451, 72,574,345,362,603,
236,463, 68,566,333,371,623,232,452, 54,559,326,372,624,245,462, 53,
561,338,368,616,233,471, 73,557,327,354,609,226,472, 74,570,337,353,
611,238,468, 66,558,346,373,607,227,454, 59,551,347,374,620,237,453,
61,563,343,366,608,246,473, 57,552,329,359,601,247,474, 70,562,328,
361,613,243,466, 58,571,348,357,602,229,459)( 55,565,330,365,605,240,
455, 65,555,340,355,615,230,465)( 56,575,344,360,614,242,456, 75,569,
335,364,617,231,475, 69,560,339,367,606,250,469, 60,564,342,356,625,
244,460, 64,567,331,375,619,235,464, 67,556,350,369,610,239,467)
(151,497,174,495,162,478,161,488,168,491,158,496,173,482,152,479,159,
476,172,499,170,487,153,486,163,493,166,483,171,498,157,477,154,484)
(155,490)(156,500,169,485,164,492)(160,489,167,481,175,494)(165,480)
(201,522,224,520,212,503,211,513,218,516,208,521,223,507,202,504,209,
501,222,524,220,512,203,511,213,518,216,508,221,523,207,502,204,509)
(205,515)(206,525,219,510,214,517)(210,514,217,506,225,519)(215,505),
( 1,518,384, 5,368,400,455,353,275,466,178,251,516,184)
( 2, 93,383,580,361,325,456,603,260,341,190,101,512, 59, 23,168,395,
280,354,225,471,553,264,416,197,526,513,434, 17,143,399,480,357, 50,
452, 78,258,591,186,301,506,609, 10,343,390,105,362, 75,473,153,270,
291,179,201,521,559, 14,418,397,530,363,450,467,128,274,491,182, 26,
502, 84, 8,593,386,305,356,625,460,328,265,116,187, 51,523,159, 20,
293,379,205,371,575,464,403,272,541,188,426,517,134, 24,493,382, 30,
352,100,458,578,261,316,181,601,510,334, 15,118,387, 55,373,175,470,
278,254,216,196,551,514,409, 22,543,388,430,367,150,474,478,257, 41,
177, 76,508,584, 11,318,381,605,360,350,465,103,262, 66,198,151,520,
284, 4,218,396,555,364,425,472,528,263,441,192,126,524,484, 7, 43,
377, 80,358,600,461,303,256,616,185,326,515,109, 12, 68,398,155,370,
300,454,203,271,566,189,401,522,534, 13,443,392,130,374,500,457, 28,
252, 91,183,576,511,309, 6,618,385,330,365,125,462, 53,273,166,195,
276,504,209, 21,568,389,405,372,550,463,428,267,141,199,476,507, 34)
( 3,268,391,180,351,525,459)( 9, 18,393,380,355,375,475,453,253,266,
191,176,501,509)( 16,193,376,505,359, 25,468,378,255,366,200,451,503,
259)( 19,243,394,230,369,250,469,228,269,241,194,226,519,234)
( 27, 77, 83,583,586,311,306,606,610,335,340,115,112, 62, 73,173,170,
295,279,204,221,571,564,414,422,547,538,438,442,142,149,499,482, 32)
( 29,202, 96,558,589,411,322,531,613,435,342,140,124,487, 57, 48,152,
95,283,579,211,321,556,614,410,347,540,113,437, 67,148,174,495,282)
( 31,602, 85,333,590,111,312, 56,623,160,345,290,104,212, 71,573,164,
420,297,529,213,446,567,139,424,497,532, 38,427, 92,133,599,486,307)
( 33,577, 86,308,581,611,310,331,615,110,337, 65,123,162, 70,298,154,
220,296,554,214,421,572,539,413,447,542,138,449,492,132, 49,477, 82)
( 35,327, 90,108,587, 61,323,156,620,285,329,215,121,562, 64,423,172,
545,288,429,217,146,574,489,407, 47,527, 88,433,592,136,324,481,607)
( 36,302, 81,608,585,336,315,106,612, 60,348,165,120,287, 54,223,171,
570,289,404,222,546,563,439,417,147,549,488,432, 42,127, 99,483,582)
( 37, 52, 98,158,595,286,304,206,621,560,339,415,122,537, 63,448,167,
145,299,479,207, 46,552, 89,408,597,536,313,431,617,135,349,490,107)
( 39,402, 97,533,588,436,317,131,624,485,332, 40,102, 87, 58,598,161,
320,281,604,210,346,565,114,412, 72,548,163,445,292,129,224,496,557)
( 44,227, 94,233,594,236,319,231,619,235,344,240,119,237, 69,248,169,
245,294,229,219,246,569,239,419,247,544,238,444,242,144,249,494,232)
( 45,277, 79,208,596,561,314,406,622,535,338,440,117,137, 74,498,157)
] ],
[ 2, 240597637008332048087335626345604448256000000000000, 0, "4c",
[ [ 48, 1 ], [ 576, 1 ] ], 1, "Alt(25)^2.2^2", [ "A", 25, 2 ],
[ ( 1,251, 26, 51,476,126, 76,276,301,201,451,401,576,326,351,551,101,501,
601)( 2,266, 28, 64,486,138, 94,284,324,217,457,423,581,345,352,566,
103,514,611, 13,269, 34, 74,492,132, 98,281,320,202,466,403,589,336,
363,569,109,524,617, 7,273, 31, 70,477,141, 78,289,311,213,469,409,
599,342,357,573,106,520,602, 16,253, 39, 61,488,144, 84,299,317,207,
473,406,595,327,366,553,114,511,613, 19,259, 49, 67,482,148, 81,295,
302,216,453,414,586,338,369,559,124,517,607, 23,256, 45, 52,491,128,
89,286,313,219,459,424,592,332,373,556,120,502,616, 3,264, 36, 63,
494,134, 99,292,307,223,456,420,577,341,353,564,111,513,619, 9,274,
42, 57,498,131, 95,277,316,203,464,411,588,344,359,574,117,507,623,
6,270, 27, 66,478,139, 86,288,319,209,474,417,582,348,356,570,102,
516,603, 14,261, 38, 69,484,149, 92,282,323,206,470,402,591,328,364,
561,113,519,609, 24,267, 32, 73,481,145, 77,291,303,214,461,413,594,
334,374,567,107,523,606, 20,252, 41, 53,489,136, 88,294,309,224,467,
407,598,331,370,552,116,503,614, 11,263, 44, 59,499,142, 82,298,306,
220,452,416,578,339,361,563,119,509,624, 17,257, 48, 56,495,127, 91,
278,314,211,463,419,584,349,367,557,123,506,620)( 4,254, 29, 54,479,
129, 79,279,304,204,454,404,579,329,354,554,104,504,604)
( 5,268, 37, 55,493,137, 80,293,312,205,468,412,580,343,362,555,118,
512,605, 18,262, 30, 68,487,130, 93,287,305,218,462,405,593,337,355,
568,112,505,618, 12,255, 43, 62,480,143, 87,280,318,212,455,418,587,
330,368,562,105,518,612)( 8,258, 33, 58,483,133, 83,283,308,208,458,
408,583,333,358,558,108,508,608)( 10,260, 35, 60,485,135, 85,285,310,
210,460,410,585,335,360,560,110,510,610)( 15,265, 40, 65,490,140, 90,
290,315,215,465,415,590,340,365,565,115,515,615)( 21,272, 50, 71,497,
150, 96,297,325,221,472,425,596,347,375,571,122,525,621, 22,275, 46,
72,500,146, 97,300,321,222,475,421,597,350,371,572,125,521,622, 25,
271, 47, 75,496,147,100,296,322,225,471,422,600,346,372,575,121,522,
625)(151,526,176,376,226,426)(152,541,178,389,236,438,169,534,199,
392,232,448,156,545,177,391,228,439,161,538,194,384,249,442,157,548,
181,395,227,441,153,539,186,388,244,434,174,542,182,398,231,445)
(154,529,179,379,229,429)(155,543,187,380,243,437)(158,533,183,383,
233,433)(159,549,192,382,248,431,170,527,191,378,239,436,163,544,184,
399,242,432,173,531,195,377,241,428,164,536,188,394,234,449,167,532,
198,381,245,427,166,528,189,386,238,444)(160,535,185,385,235,435)
(162,530,193,387,230,443)(165,540,190,390,240,440)(168,537,180,393,
237,430)(171,547,200,396,247,450)(172,550,196,397,250,446)
(175,546,197,400,246,447),
( 1, 98, 12,623, 7,498, 21,573, 6, 48, 5,398, 16, 73, 22,173)
( 2,598, 15,298, 14,423, 25,548, 9,373, 24,248, 18,523, 10,273, 3,
448, 8,148, 19,348, 13,323, 11,473, 17,198, 20,223, 4,123)
( 26, 80,387,616, 57,497,171,551, 81, 37,605,382,491, 71,572,156)
( 27,580,390,291, 64,422,175,526, 84,362,624,232,493,521,560,256, 28,
430,383,141, 69,347,163,301, 86,462,617,182,495,221,554,106)
( 29,105,377,591, 65,297,164,401,100,537,609,357,499,246,568,506, 35,
255,378,441, 58,147,169,326, 88,312,611,457,492,196,570,206)
( 30,380,391, 66, 72,172,151, 76, 87,612,607,482,496,571,556, 31)
( 32,480,396,566, 56, 47,155,376, 91, 62,622,157,476, 96,562,606)
( 33,130,394,341, 63,322,161,451, 92,187,620,207,479,121,552,581, 40,
280,389,416, 75,547,159,351, 99,237,618,507,485,271,553,431)
( 34,355,399,241, 68,522,160,251, 78,437,608,132,494,346,563,306, 36,
455,392,191, 70,222,154,101, 77,587,615,282,489,421,575,531)
( 38,305,386,466, 67,197,170,201, 79,112,602,582,490,296,564,406, 50,
530,384,366, 74,247,168,501, 85,262,603,432,483,146,569,331)
( 39,405,400,541, 59,372,174,226, 93,512,610,257,478,446,558,131, 44,
330,388,316, 61,472,167,176, 95,212,604,107,477,596,565,281)
( 41, 55,397,166, 51, 97,162,601, 82,487,621,557,481, 46,555,381)
( 42,180,395,216, 54,122,152,576, 90,287,614,407,500,546,559,356, 49,
230,393,516, 60,272,153,426, 83,137,619,332,488,321,561,456)
( 43,505,385,266, 53,447,158,126, 94,337,613,307,486,471,567,181, 45,
205,379,116, 52,597,165,276, 89,412,625,532,484,371,574,231)
(102,577,590,290,289,414,425,550,534,359,374,249,243,518,510,260,253,
428,433,133,144,344,338,313,311,461,467,192,195,220,204,104)
(103,427,583,140,294,339,413,325,536,459,367,199,245,218,504,110,252,
578,440,283,139,419,350,538,309,361,474,242,193,520,210,254)
(108,127,594,340,288,314,411,475,542,184,370,224,229,118,502,585,265,
278,439,408,150,544,334,363,324,236,468,517,185,270,203,429)
(109,352,599,240,293,514,410,275,528,434,358,149,244,343,513,310,261,
453,442,183,145,219,329,113,302,586,465,292,189,420,225,529)
(111,452,592,190,295,214,404,125,527,584,365,299,239,418,525,535,259,
353,449,233,143,519,335,263,303,436,458,142,194,345,213,304)
(114,402,600,540,284,364,424,250,543,509,360,274,228,443,508,135,269,
328,438,308,136,469,342,188,320,211,454,117,177,595,215,279)
(115,277,589,415,300,539,409,375,549,234,368,524,235,268,503,435,258,
128,444,333,138,319,336,463,317,186,470,217,179,120,202,579)
(119,327,588,315,286,464,417,200,545,209,354,124,227,593,515,285,264,
403,450,533,134,369,349,238,318,511,460,267,178,445,208,129) ] ],
[ 3, 240597637008332048087335626345604448256000000000000, 0, "4c",
[ [ 48, 1 ], [ 576, 1 ] ], 1, "Alt(25)^2.4", [ "A", 25, 2 ],
[ ( 1,550, 82,619,242,183,487, 30)( 2,600, 84,469,238,108,496,205, 4,325,
78,419,249,558,485, 55, 22,150, 77,594,234,458,488,105, 21,225, 79,
319,228,408,499,555, 10, 75, 97,144,227,583,484,455, 13,125, 96,219,
229,308,478,405, 24,575, 85, 69,247,133,477,580, 9,475, 88,119,246,
208,479,305, 3,425, 99,569,235, 58,497,130)( 5, 25,100, 94,244,233,
483,480)( 6,175, 86,394,240,283,498,330, 16,375, 95,519,243,433,489,
255)( 7,625, 92,194,237, 33,476,530)( 8,500, 80, 19,250, 83,494,230
)( 11,400, 90,294,248,333,491,355, 20,525, 93,444,239,258,481,155)
( 12, 50, 76,544,232,608,492,180)( 14,275, 81,169,236,383,490,280, 23,
350, 91,369,245,508,493,430)( 15,300, 98,344,241,358,495,505, 18,450,
89,269,231,158,486,380)( 17,200, 87, 44,226,533,482,605)
( 26,526,532,607,617,192,187, 37)( 27,576,534,457,613,117,196,212, 29,
301,528,407,624,567,185, 62, 47,126,527,582,609,467,188,112, 46,201,
529,307,603,417,199,562, 35, 51,547,132,602,592,184,462, 38,101,546,
207,604,317,178,412, 49,551,535, 57,622,142,177,587, 34,451,538,107,
621,217,179,312, 28,401,549,557,610, 67,197,137)( 31,151,536,382,615,
292,198,337, 41,351,545,507,618,442,189,262)( 32,601,542,182,612, 42,
176,537)( 36,376,540,282,623,342,191,362, 45,501,543,432,614,267,181,
162)( 39,251,531,157,611,392,190,287, 48,326,541,357,620,517,193,437)
( 40,276,548,332,616,367,195,512, 43,426,539,257,606,167,186,387)
( 52,597,134,452,588,109,471,213,104,321,203,404,324,553,410, 74,572,
135)( 53,422,149,552,585, 59,472,138,102,596,209,454,313,103,421,224,
554,310)( 54,322,128,402,599,559,460, 63,122,146,202,579,309,453,413,
124,571,210)( 56,172,136,377,590,284,473,338,116,371,220,504,318,428,
414,274,556,160, 61,397,140,277,598,334,466,363,120,521,218,429,314,
253,406,174,561,385, 65,297,148,327,591,359,470,513,118,446,214,254,
306,153,411,399,565,285, 73,347,141,352,595,509,468,438,114,271,206,
154,311,378,415,299,573,335, 66,372,145,502,593,434,464,263,106,171,
211,379,315,278,423,349,566,360, 70,522,143,427,589,259,456,163,111,
396,215,279,323,328,416,374,570,510, 68,447,139,252,581,159,461,388,
115,296,223,329,316,353,420,524,568,435, 64,272,131,152,586,384,465,
288,123,346,216,354,320,503,418,449,564,260)( 60, 72,147,127,577,584,
459,463,113,121,221,204,304,303,403,424,574,560)( 71,222,129,302,578,
409,474,563,110)(156,161,386,390,290,298,348,341,366,370,520,518,443,
439,264,256)(164,261,381,165,286,398,340,291,373,345,516,368,445,514,
268,431)(166,361,395,515,293,448,339,266,356,170,511,393,440,289,273,
331)(168,436,389,265,281,173,336,391,365,295,523,343,441,364,270,506)
, ( 1,536,482,605,392,190,287,598,334,438,114,271,206,154,360, 70,
522,143,402, 49,551,541,307,603,467,200, 87,594,234,433, 14,261,481,
155,385, 65,297,148,327, 38,101,546,207,604,367,195,512,593,409,449,
564,266,306,153,460, 75, 97,144,227, 33)( 2, 36,476,530,382,615,292,
198,337,588,109,446,214,254,356,170,510, 68,422,149,552, 41,301,528,
457,625, 92,194,237,583, 9,436,489,255,381,165,285, 73,347,138,102,
46,201,529,357,620,517,193,412,599,559,441,314,253,456,175, 85, 69,
247,133)( 3,461,500, 80,394,240,283, 23,336,488,105,396,215,279,373,
345,513,118,421,224,554,366,320,503,468,425, 99,569,241,308)
( 4,361,495,505,393,415,299,573,341,313,103,471,225, 79,369,245,508,
18,411,499,555,391,315,278,473,350, 88,119,246,208)( 5,386,490,280,
398,340,288,123,346,213,104,371,220,504,368,420,524,568,416,324,553,
466,325, 78,469,250, 83, 19,236,483)( 6,161,485, 55,397,140,277, 48,
326,538,107,621,217,179,362,595,509,443,414,274,556,166,310, 53,472,
150, 77, 44,226,533, 7,611,492,180,387,590,284,448,339,263,106,171,
210, 54,372,145,502, 43,401,549,557,616,317,178,462,600, 84,444,239,
258)( 8, 11,486,480,380,390,290,298,348,338,113,121,221,204,354,370,
520,518,418,424,574,566,316,303,453,475,100, 94,244,233)
( 10, 61,497,130,377, 40,276,548,332,613,117,196,212,579,359,445,514,
268,406,174,560, 66,322,128,452, 50, 76,544,232,608, 17,186,487,580,
384,440,289,273,331,163,110, 71,222,129,352, 45,501,543,407,624,567,
191,312,578,459,450, 89,269,231,158)( 12,586,484,430,389,265,281,173,
335, 63,122,146,202, 29,351,545,507,618,417,199,562,591,309,428,464,
275, 81,169,235, 58, 22,136,477, 30,376,540,282,623,342,188,112,596,
209,429,364,270,506,168,410, 74,572,141,302, 28,451,550, 82,619,242,
183)( 13,111,496,205,379,365,295,523,343,413,124,571,216,304,353,470,
525, 93,419,249,558, 16,311,478,455,400, 90,294,248,333)
( 15,286,498,330,388,115,296,223,329,363,120,521,218,404,374,570,516,
318,403,474,575, 91,319,228,458, 25, 86,494,230,383)( 20,511,493,405,
399,565,291,323,328,463,125, 96,219,229,358)( 21,211,479,355,395,515,
293,423,349,563,116,321,203,454,375, 95,519,243,408, 24,561,491,305,
378,465,300, 98,344,238,108)( 26,526,532,607,617,192,187,587,584,434,
439,264,256,156,160, 60, 72,147,127, 27)( 31,151,535, 57,622,142,177,
37,576,534,432,614,267,181,162,585, 59,447,139,252)( 32,601,542,182,
612,592,184,437,589,259,431,164,260, 56,172,135, 52, 47,126,527)
( 34,426,539,257,606,167,185, 62,597,134,427, 39,251,531,157,610, 67,
197,137,577)( 35, 51,547,132,602, 42,176,537,582,609,442,189,262,581,
159,435, 64,272,131,152) ] ],
[ 4, 481195274016664096174671252691208896512000000000000, 0, "4c",
[ [ 48, 1 ], [ 576, 1 ] ], 1, "Sym(25) wreath Sym(2)", [ "A", 25, 2 ],
[ ( 1,434,226,433,526,449,301,435,176,444,101,446, 51,441,276,438, 26,443,
551,439,476,442,576,427)( 2, 9,234,233,533,549,324,310,185,194,119,
121, 71, 66,291,288, 38, 43,568,564,489,492,592,577)( 3,134,237,383,
547,224,323,610,178,144,112,396, 72,216,298,613, 28,143,562,389,497,
217,598,602)( 4,409,240,333,536,174,325,510,195,269,104,421, 65,341,
286,163, 50,518,570,264,479,417,590,327, 11,159,250,508,545,274,304,
410,190,344,111,171, 75,516,295,263, 29,418,565,339,486,167,600,502,
20,259,229,408,540,349,311,160,200,519,120,271, 54,416,290,338, 36,
168,575,514,495,267,579,402, 15,334,236,158,550,524,320,260,179,419,
115,346, 61,166,300,513, 45,268,554,414,490,342,586,152, 25,509,245,
258,529,424,315,335,186,169,125,521, 70,266,279,413, 40,343,561,164,
500,517,595,252)( 5, 84,232,358,530, 99,307,360,180, 94,107,371, 55,
91,282,363, 30, 93,557,364,480, 92,582,352)( 6,459,231,458,531,474,
306,460,181,469,106,471, 56,466,281,463, 31,468,556,464,481,467,581,
452)( 7,359,230, 83,532,374,305, 85,182,369,105, 96, 57,366,280, 88,
32,368,555, 89,482,367,580, 77)( 8,534,249,308,535,199,319,110,196,
69,116,296, 63, 41,293,563, 39,493,567,589,477, 17,584,227)
( 10,184,244,108,546, 74,316,285,188, 44,118,571, 64,491,292,588, 27,
18,559,239,483,542,599,302)( 12,384,247,208,548,624,303,135,187,394,
122,221, 73,616,278,138, 37,393,572,214,498,617,578,127)
( 13, 34,243,558,539,499,317,585,177, 19,109,246, 58,541,299,313, 35,
193,569,114,496, 67,591,277)( 14,484,242,583,527, 24,309,235,183,544,
124,321, 60,191,294,113, 46, 68,566,289,488, 42,593,552)
( 16,284,238, 33,543,574,314,485,192,594,102, 21, 59,241,283,538, 49,
318,560,189,494,117,596, 52)( 22,209,248,608,528,149,312,385,197,219,
123,621, 53,141,287,388, 47,218,573,614,478,142,587,377)
( 23,609,228,133,537,399,322,210,198,619,103,146, 62,391,297,213, 48,
618,553,139,487,392,597,202)( 76,432,351,430)( 78,132,362,380, 97,
207,373,605)( 79,407,365,330, 86,157,375,505, 95,257,354,405, 90,332,
361,155,100,507,370,255)( 80, 82,357,355)( 81,457,356,455)
( 87,382,372,205, 98,607,353,130)(126,437,376,447,201,448,601,428)
(128,137,387,397,222,223,623,603)(129,412,390,347,211,173,625,503,145,
262,379,422,215,348,611,153,150,512,395,272,204,423,615,328,136,162,
400,522,220,273,604,403,140,337,386,172,225,523,620,253)
(131,462,381,472,206,473,606,453)(147,212,398,622,203,148,612,378)
(151,450,501,445,251,429,401,440,326,436)(154,425,515,345,261)
(156,475,506,470,256,454,406,465,331,461)(161,175,525,520,270,254,404,
415,340,336)(165,350,511,170,275,504,420,265,329,411)(431,451),
( 1,293,392,574,141,364,195,512,483,447, 9,290,400,571,128,356,194,
505,479,435, 7,288,377,551,143,367,199,516,489,445, 12,283,397,559,
140,375,196,503,481,444, 5,279,385,557,138,352,176,518,492,449, 16,
289,395,562,133,372,184,515,500,446, 3,281,394,555,129,360,182,513,
477,426, 18,292,399,566,139,370,187,508,497,434, 15,300,396,553,131,
369,180,504,485,432, 13,277,376,568,142,374,191,514,495,437, 8,297,
384,565,150,371,178,506,494,430, 4,285,382,563,127,351,193,517,499,
441, 14,295,387,558,147,359,190,525,496,428, 6,294,380,554,135,357,
188,502,476,443, 17,299,391,564,145,362,183,522,484,440, 25,296,378,
556,144,355,179,510,482,438, 2,276,393,567,149,366,189,520,487,433,
22,284,390,575,146,353,181,519,480,429, 10,282,388,552,126,368,192,
524,491,439, 20,287,383,572,134,365,200,521,478,431, 19,280,379,560,
132,363,177,501,493,442, 24,291,389,570,137,358,197,509,490,450, 21,
278,381,569,130,354,185,507,488,427)( 11,298,386,573,136,373,186,523,
486,448)( 23,286,398,561,148,361,198,511,498,436)( 26, 93,242,274,
466,214,620,112,533,597, 34, 90,250,271,453,206,619,105,529,585, 32,
88,227,251,468,217,624,116,539,595, 37, 83,247,259,465,225,621,103,
531,594, 30, 79,235,257,463,202,601,118,542,599, 41, 89,245,262,458,
222,609,115,550,596, 28, 81,244,255,454,210,607,113,527,576, 43, 92,
249,266,464,220,612,108,547,584, 40,100,246,253,456,219,605,104,535,
582, 38, 77,226,268,467,224,616,114,545,587, 33, 97,234,265,475,221,
603,106,544,580, 29, 85,232,263,452,201,618,117,549,591, 39, 95,237,
258,472,209,615,125,546,578, 31, 94,230,254,460,207,613,102,526,593,
42, 99,241,264,470,212,608,122,534,590, 50, 96,228,256,469,205,604,
110,532,588, 27, 76,243,267,474,216,614,120,537,583, 47, 84,240,275,
471,203,606,119,530,579, 35, 82,238,252,451,218,617,124,541,589, 45,
87,233,272,459,215,625,121,528,581, 44, 80,229,260,457,213,602,101,
543,592, 49, 91,239,270,462,208,622,109,540,600, 46, 78,231,269,455,
204,610,107,538,577)( 36, 98,236,273,461,223,611,123,536,598)
( 48, 86,248,261,473,211,623,111,548,586)( 51,418,167, 74,416,164, 70,
412,158, 72,409,165, 75,421,153, 56,419,155, 54,410,157, 63,402,151,
68,417,174, 66,414,170, 62,408,172, 59,415,175, 71,403,156, 69,405,
154, 60,407,163, 52,401,168, 67,424,166, 64,420,162, 58,422,159, 65,
425,171, 53,406,169, 55,404,160, 57,413,152)( 61,423,161, 73,411,173)
(301,318,317,324,316,314,320,312,308,322,309,315,325,321,303,306,319,
305,304,310,307,313,302)(311,323)(326,343,342,349,341,339,345,337,
333,347,334,340,350,346,328,331,344,330,329,335,332,338,327)
(336,348) ] ],
[ 5, 51840000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5) wreath 4", [ "A", 5, 4 ],
[ ( 1,558,337,144, 31,572,215,419,121,555,463,369)( 2,183,287,149, 35,447,
240,404,123,305,388,359)( 3,308,262,134, 32,197,165,424,125,430,488,
354)( 4, 58,312,139, 34, 72,190,414,124, 55,438,364)
( 5,433,362,129, 33,322,140,409,122,180,413,374)( 6,557,212,169, 46,
575,465,494,101,553,338,269)( 7,182,162,174, 50,450,490,479,103,303,
263,259)( 8,307,137,159, 47,200,415,499,105,428,363,254)
( 9, 57,187,164, 49, 75,440,489,104, 53,313,264)( 10,432,237,154, 48,
325,390,484,102,178,288,274)( 11,559, 87,194, 36,574, 90,444,111,554,
88,319)( 12,184, 37,199, 40,449,115,429,113,304, 13,309)
( 14, 59, 62,189, 39, 74, 65,439,114, 54, 63,314)( 15,434,112,179, 38,
324)( 16,556,587,219, 41,571,590,469,116,551,588,344)
( 17,181,537,224, 45,446,615,454,118,301,513,334)( 18,306,512,209, 42,
196,540,474,120,426,613,329)( 19, 56,562,214, 44, 71,565,464,119, 51,
563,339)( 20,431,612,204, 43,321,515,459,117,176,538,349)
( 21,560,462,244, 26,573,340,394,106,552,213,294)( 22,185,412,249, 30,
448,365,379,108,302,138,284)( 23,310,387,234, 27,198,290,399,110,427,
238,279)( 24, 60,437,239, 29, 73,315,389,109, 52,188,289)
( 25,435,487,229, 28,323,265,384,107,177,163,299)( 61,564, 89, 69)
( 66,561,589, 94)( 67,186,539, 99, 70,436,614, 79, 68,311,514, 84)
( 76,568,336,519, 81,567,211,544, 96,570,461,619)( 77,193,286,524, 85,
442,236,529, 98,320,386,609)( 78,318,261,509, 82,192,161,549,100,445,
486,604)( 80,443,361,504, 83,317,136,534, 97,195,411,624)( 86,569)
( 91,566,586,594)( 92,191,536,599, 95,441,611,579, 93,316,511,584)
(126,533,347,145,406,622,205,418,371,505,458,367)(127,158,297,150,410,
497,230,403,373,255,383,357)(128,283,272,135,407,247,155,423,375,380,
483,352)(130,408,372)(131,532,222,170,421,625,455,493,351,503,333,267
)(132,157,172,175,425,500,480,478,353,253,258,257)(133,282,147,160,
422,250,405,498,355,378,358,252)(141,531,597,220,416,621,580,468,366,
501,583,342)(142,156,547,225,420,496,605,453,368,251,508,332)
(143,281,522,210,417,246,530,473,370,376,608,327)(146,535,472,245,401,
623,330,393,356,502,208,292)(148,285,397,235,402,248,280,398,360,377,
233,277)(151,548,350,395,481,602,203,293,271,510,457,242)
(152,173,300,400,485,477,228,278,273,260,382,232)(153,298,275,385,482,
227)(166,546,600,470,491,601,578,343,266,506,582,217)
(167,171,550,475,495,476,603,328,268,256,507,207)(168,296,525,460,492,
226,528,348,270,381,607,202)(201,543,346,520,456,617)
(206,542,221,545,471,620,451,618,326,518,331,517)(216,541,596,595,466,
616,576,593,341,516,581,592)(218,291,521,585,467,241,526,598,345,391,
606,577)(223,295,396,610,452,243,276,523,335,392,231,527),
( 1,306,363,605,151,346,367,479)( 2,431,263,610,153,596,292,499)
( 3,556,288,625,152,471,267,484)( 4, 56,313,615,155,221,342,494)
( 5,181,338,620,154, 96,317,489)( 6,308,613,530,171,347,492,379)
( 7,433,513,535,173,597,417,399)( 8,558,538,550,172,472,392,384)
( 9, 58,563,540,175,222,467,394)( 10,183,588,545,174, 97,442,389)
( 11,310,238,580,166,349,117,429)( 12,435,138,585,168,599, 42,449)
( 13,560,163,600,167,474, 17,434)( 14, 60,188,590,170,224, 92,444)
( 15,185,213,595,169, 99, 67,439)( 16,309,113,555,161,350,242,454)
( 18,559, 38,575,162,475,142,459)( 19, 59, 63,565,165,225,217,469)
( 20,184, 88,570,164,100,192,464)( 21,307,488,505,156,348,617,404)
( 22,432,388,510,158,598,542,424)( 23,557,413,525,157,473,517,409)
( 24, 57,438,515,160,223,592,419)( 25,182,463,520,159, 98,567,414)
( 26,321,362,480,126,331,368,604)( 27,446,262,485,128,581,293,624)
( 28,571,287,500,127,456,268,609)( 29, 71,312,490,130,206,343,619)
( 30,196,337,495,129, 81,318,614)( 31,323,612,405,146,332,493,504)
( 32,448,512,410,148,582,418,524)( 33,573,537,425,147,457,393,509)
( 34, 73,562,415,150,207,468,519)( 35,198,587,420,149, 82,443,514)
( 36,325,237,455,141,334,118,554)( 37,450,137,460,143,584, 43,574)
( 39, 75,187,465,145,209, 93,569)( 40,200,212,470,144, 84, 68,564)
( 41,324,112,430,136,335,243,579)( 44, 74, 62,440,140,210,218,594)
( 45,199, 87,445,139, 85,193,589)( 46,322,487,380,131,333,618,529)
( 47,447,387,385,133,583,543,549)( 48,572,412,400,132,458,518,534)
( 49, 72,437,390,135,208,593,544)( 50,197,462,395,134, 83,568,539)
( 51,311,365,230,201,341,369,104)( 52,436,265,235,203,591,294,124)
( 53,561,290,250,202,466,269,109)( 54, 61,315,240,205,216,344,119)
( 55,186,340,245,204, 91,319,114)( 64, 65,190,215,220,219, 94, 69)
( 66,314,115,180,211,345,244, 79)( 70,189, 90,195,214, 95,194, 89)
( 76,316,364,105,176,336,370,229)( 77,441,264,110,178,586,295,249)
( 78,566,289,125,177,461,270,234)( 80,191,339,120,179, 86,320,239)
(101,301,361,355,226,326,366,354)(102,426,261,360,228,576,291,374)
(103,551,286,375,227,451,266,359)(106,303,611,280,246,327,491,254)
(107,428,511,285,248,577,416,274)(108,553,536,300,247,452,391,259)
(111,305,236,330,241,329,116,304)(121,302,486,255,231,328,616,279)
(122,427,386,260,233,578,541,299)(123,552,411,275,232,453,516,284)
(251,356,353,601,276,371,352,476)(252,481,253,606,278,621,277,496)
(256,358,603,526,296,372,477,376)(257,483,503,531,298,622,402,396)
(258,608,528,546,297,497,377,381)(271,357,478,501,281,373,602,401)
(272,482,378,506,283,623,527,421)(273,607,403,521,282,498,502,406)
(382,383,508,533,548,547,422,397)(398,507,408,523,532,423,522,407) ]
],
[ 6, 51840000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 32, 3 ] ], 1,
"Alt(5) wreath 2^2", [ "A", 5, 4 ],
[ ( 1,126,176,301,326, 76)( 2,141,180,306,328, 86)( 3,136,177,316,330, 81
)( 4,146,179,321,329, 96)( 5,131,178,311,327, 91)( 6,128,186,302,
341, 80)( 7,143,190,307,343, 90)( 8,138,187,317,345, 85)
( 9,148,189,322,344,100)( 10,133,188,312,342, 95)( 11,127,191,305,
331, 78)( 12,142,195,310,333, 88)( 13,137,192,320,335, 83)
( 14,147,194,325,334, 98)( 15,132,193,315,332, 93)( 16,130,181,303,
336, 77)( 17,145,185,308,338, 87)( 18,140,182,318,340, 82)
( 19,150,184,323,339, 97)( 20,135,183,313,337, 92)( 21,129,196,304,
346, 79)( 22,144,200,309,348, 89)( 23,139,197,319,350, 84)
( 24,149,199,324,349, 99)( 25,134,198,314,347, 94)( 26,376,151,426,
276,451)( 27,391,155,431,278,461)( 28,386,152,441,280,456)
( 29,396,154,446,279,471)( 30,381,153,436,277,466)( 31,378,161,427,
291,455)( 32,393,165,432,293,465)( 33,388,162,442,295,460)
( 34,398,164,447,294,475)( 35,383,163,437,292,470)( 36,377,166,430,
281,453)( 37,392,170,435,283,463)( 38,387,167,445,285,458)
( 39,397,169,450,284,473)( 40,382,168,440,282,468)( 41,380,156,428,
286,452)( 42,395,160,433,288,462)( 43,390,157,443,290,457)
( 44,400,159,448,289,472)( 45,385,158,438,287,467)( 46,379,171,429,
296,454)( 47,394,175,434,298,464)( 48,389,172,444,300,459)
( 49,399,174,449,299,474)( 50,384,173,439,297,469)( 51,251,201)
( 52,266,205, 56,253,211)( 53,261,202, 66,255,206)( 54,271,204, 71,
254,221)( 55,256,203, 61,252,216)( 57,268,215)( 58,263,212, 67,270,
210)( 59,273,214, 72,269,225)( 60,258,213, 62,267,220)
( 63,262,217, 70,260,208)( 64,272,219, 75,259,223)( 65,257,218)
( 68,265,207)( 69,275,209, 73,264,222)( 74,274,224)(101,501,226,551,
351,576)(102,516,230,556,353,586)(103,511,227,566,355,581)
(104,521,229,571,354,596)(105,506,228,561,352,591)(106,503,236,552,
366,580)(107,518,240,557,368,590)(108,513,237,567,370,585)
(109,523,239,572,369,600)(110,508,238,562,367,595)(111,502,241,555,
356,578)(112,517,245,560,358,588)(113,512,242,570,360,583)
(114,522,244,575,359,598)(115,507,243,565,357,593)(116,505,231,553,
361,577)(117,520,235,558,363,587)(118,515,232,568,365,582)
(119,525,234,573,364,597)(120,510,233,563,362,592)(121,504,246,554,
371,579)(122,519,250,559,373,589)(123,514,247,569,375,584)
(124,524,249,574,374,599)(125,509,248,564,372,594)(402,416,405,406,
403,411)(404,421)(407,418,415)(408,413,412,417,420,410)
(409,423,414,422,419,425)(476,526)(477,541,480,531,478,536)(479,546)
(481,528,486,527,491,530)(482,543,490,532,493,540)(483,538,487,542,
495,535)(484,548,489,547,494,550)(485,533,488,537,492,545)(496,529)
(497,544,500,534,498,539)(499,549)(602,616,605,606,603,611)(604,621)
(607,618,615)(608,613,612,617,620,610)(609,623,614,622,619,625),
( 1, 62,213,156,309,353, 30, 14,237,210,256,302, 78, 36,189,233,285,
254,102, 90,136,182,333,276, 54,113,165,134,357,330)( 2, 87,211,181,
308,278, 29,114,240,135,257,327, 76, 61,188,158,284,354,105, 15,137,
207,331,301, 53, 38,164,234,360,255)( 3, 37,214,231,310,253, 27, 89,
236,185,258,277, 79,111,190,133,282,329,101, 65,138,157,334,351, 55,
13,162,209,356,305)( 4,112,215,131,307,328, 26, 64,238,160,259,352,
80, 11,187,208,281,304,103, 40,139,232,335,251, 52, 88,161,184,358,
280)( 5, 12,212,206,306,303, 28, 39,239,235,260,252, 77, 86,186,183,
283,279,104,115,140,132,332,326, 51, 63,163,159,359,355)
( 6,312,203, 31,314,228, 35,264,227, 85,261,177, 83,286,179,108,290,
129,107,340,126, 57,338,151, 59,363,155, 9,362,205)( 7,337,201, 56,
313,153, 34,364,230, 10,262,202, 81,311,178, 33,289,229,110,265,127,
82,336,176, 58,288,154,109,365,130)( 8,287,204,106,315,128, 32,339,
226, 60,263,152, 84,361,180)( 16,562,218,531,319,603, 45,514,242,585,
266,552, 93,536,194,608,295,504,117,590,141,557,343,526, 69,613,170,
509,367,580)( 17,587,216,556,318,528, 44,614,245,510,267,577, 91,561,
193,533,294,604,120,515,142,582,341,551, 68,538,169,609,370,505)
( 18,537,219,606,320,503, 42,589,241,560,268,527, 94,611,195,508,292,
579,116,565,143,532,344,601, 70,513,167,584,366,555)( 19,612,220,506,
317,578, 41,564,243,535,269,602, 95,511,192,583,291,554,118,540,144,
607,345,501, 67,588,166,559,368,530)( 20,512,217,581,316,553, 43,539,
244,610,270,502, 92,586,191,558,293,529,119,615,145,507,342,576, 66,
563,168,534,369,605)( 21,437,223,406,324,478, 50,389,247,460,271,427,
98,411,199,483,300,379,122,465,146,432,348,401, 74,488,175,384,372,
455)( 22,462,221,431,323,403, 49,489,250,385,272,452, 96,436,198,408,
299,479,125,390,147,457,346,426, 73,413,174,484,375,380)
( 23,412,224,481,325,378, 47,464,246,435,273,402, 99,486,200,383,297,
454,121,440,148,407,349,476, 75,388,172,459,371,430)( 24,487,225,381,
322,453, 46,439,248,410,274,477,100,386,197,458,296,429,123,415,149,
482,350,376, 72,463,171,434,373,405)( 25,387,222,456,321,428, 48,414,
249,485,275,377, 97,461,196,433,298,404,124,490,150,382,347,451, 71,
438,173,409,374,480)(391,572,468,546,444,623,420,524,492,600)
(392,597,466,571,443,548,419,624,495,525)(393,547,469,621,445,523,417,
599,491,575)(394,622,470,521,442,598,416,574,493,550)
(395,522,467,596,441,573,418,549,494,625)(396,447,473,421,449,498,425,
399,497,475)(397,472,471,446,448,423,424,499,500,400)
(398,422,474,496,450)(516,567,593,541,569,618,545,519,617,595)
(517,592,591,566,568,543,544,619,620,520)(518,542,594,616,570) ] ],
[ 7, 103680000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5) wreath D_8", [ "A", 5, 4 ],
[ ( 1, 78,343,267,127,204,469,395,505,576, 91, 18,253,327,217,144,379,455,
595,516)( 2,203,344,392,130,579,466, 20,503,326, 92,143,254,452,220,
519,376, 80,593,266)( 3,328,342,142,129,454,470,520,501, 76, 93,268,
252,202,219,394,380,580,591, 16)( 4,453,345,517,126, 79,468,270,502,
201, 94,393,255,577,216, 19,378,330,592,141)( 5,578,341, 17,128,329,
467,145,504,451, 95,518,251, 77,218,269,377,205,594,391)
( 6,103,333,367,132,229,459,495,510,601, 81,118,258,352,207,244,384,
480,585,616)( 7,228,334,492,135,604,456,120,508,351, 82,243,259,477,
210,619,381,105,583,366)( 8,353,332,242,134,479,460,620,506,101, 83,
368,257,227,209,494,385,605,581,116)( 9,478,335,617,131,104,458,370,
507,226, 84,493,260,602,206,119,383,355,582,241)( 10,603,331,117,133,
354,457,245,509,476, 85,618,256,102,208,369,382,230,584,491)
( 11, 53,348,292,137,179,474,420,515,551, 96, 43,263,302,222,169,389,
430,600,541)( 12,178,349,417,140,554,471, 45,513,301, 97,168,264,427,
225,544,386, 55,598,291)( 13,303,347,167,139,429,475,545,511, 51, 98,
293,262,177,224,419,390,555,596, 41)( 14,428,350,542,136, 54,473,295,
512,176, 99,418,265,552,221, 44,388,305,597,166)( 15,553,346, 42,138,
304,472,170,514,426,100,543,261, 52,223,294,387,180,599,416)
( 21, 28,338,317,147,154,464,445,525,526, 86, 68,273,277,212,194,399,
405,590,566)( 22,153,339,442,150,529,461, 70,523,276, 87,193,274,402,
215,569,396, 30,588,316)( 23,278,337,192,149,404,465,570,521, 26, 88,
318,272,152,214,444,400,530,586, 66)( 24,403,340,567,146, 29,463,320,
522,151, 89,443,275,527,211, 69,398,280,587,191)( 25,528,336, 67,148,
279,462,195,524,401, 90,568,271, 27,213,319,397,155,589,441)
( 31,113,308,372,157,239,434,500,535,611, 56,123,283,362,182,249,409,
490,560,621)( 32,238,309,497,160,614,431,125,533,361, 57,248,284,487,
185,624,406,115,558,371)( 33,363,307,247,159,489,435,625,531,111, 58,
373,282,237,184,499,410,615,556,121)( 34,488,310,622,156,114,433,375,
532,236, 59,498,285,612,181,124,408,365,557,246)( 35,613,306,122,158,
364,432,250,534,486, 60,623,281,112,183,374,407,240,559,496)
( 36, 63,323,297,162,189,449,425,540,561, 71, 48,288,312,197,174,414,
440,575,546)( 37,188,324,422,165,564,446, 50,538,311, 72,173,289,437,
200,549,411, 65,573,296)( 38,313,322,172,164,439,450,550,536, 61, 73,
298,287,187,199,424,415,565,571, 46)( 39,438,325,547,161, 64,448,300,
537,186, 74,423,290,562,196, 49,413,315,572,171)( 40,563,321, 47,163,
314,447,175,539,436, 75,548,286, 62,198,299,412,190,574,421)
(106,108,358,357,232,234,484,485,610,606)(107,233,359,482,235,609,481,
110,608,356)(109,483,360,607,231),
( 1,252,259,385,393, 16, 2,254,260,383,391, 17, 4,255,258,381,392,
19, 5,253,256,382,394, 20, 3,251,257,384,395, 18)( 6,377,269, 10,
378,266, 7,379,270, 8,376,267, 9,380,268)( 11,502,264,510,388,516,
12,504,265,508,386,517, 14,505,263,506,387,519, 15,503,261,507,389,
520, 13,501,262,509,390,518)( 21,127,274,135,398,141, 22,129,275,133,
396,142, 24,130,273,131,397,144, 25,128,271,132,399,145, 23,126,272,
134,400,143)( 26,302,334,410,443, 91, 27,304,335,408,441, 92, 29,305,
333,406,442, 94, 30,303,331,407,444, 95, 28,301,332,409,445, 93)
( 31,427,344, 35,428,341, 32,429,345, 33,426,342, 34,430,343)
( 36,552,339,535,438,591, 37,554,340,533,436,592, 39,555,338,531,437,
594, 40,553,336,532,439,595, 38,551,337,534,440,593)( 41, 52,329,285,
433,466, 42, 54,330,283,431,467, 44, 55,328,281,432,469, 45, 53,326,
282,434,470, 43, 51,327,284,435,468)( 46,177,349,160,448,216, 47,179,
350,158,446,217, 49,180,348,156,447,219, 50,178,346,157,449,220, 48,
176,347,159,450,218)( 56,452,294, 60,453,291, 57,454,295, 58,451,292,
59,455,293)( 61,577,289,560,463,541, 62,579,290,558,461,542, 64,580,
288,556,462,544, 65,578,286,557,464,545, 63,576,287,559,465,543)
( 66, 77,279,310,458,416, 67, 79,280,308,456,417, 69, 80,278,306,457,
419, 70, 78,276,307,459,420, 68, 76,277,309,460,418)( 71,202,299,185,
473,166, 72,204,300,183,471,167, 74,205,298,181,472,169, 75,203,296,
182,474,170, 73,201,297,184,475,168)( 81,402,319, 85,403,316, 82,404,
320, 83,401,317, 84,405,318)( 86,527,314,585,413,566, 87,529,315,583,
411,567, 89,530,313,581,412,569, 90,528,311,582,414,570, 88,526,312,
584,415,568)( 96,152,324,210,423,191, 97,154,325,208,421,192, 99,155,
323,206,422,194,100,153,321,207,424,195, 98,151,322,209,425,193)
(101,352,359,485,493,116,102,354,360,483,491,117,104,355,358,481,492,
119,105,353,356,482,494,120,103,351,357,484,495,118)(106,477,369,110,
478,366,107,479,370,108,476,367,109,480,368)(111,602,364,610,488,616,
112,604,365,608,486,617,114,605,363,606,487,619,115,603,361,607,489,
620,113,601,362,609,490,618)(121,227,374,235,498,241,122,229,375,233,
496,242,124,230,373,231,497,244,125,228,371,232,499,245,123,226,372,
234,500,243)(136,522,139,525,138,521,137,524,140,523)
(146,147,149,150,148)(161,572,214,550,188,596,162,574,215,548,186,597,
164,575,213,546,187,599,165,573,211,547,189,600,163,571,212,549,190,
598)(171,197,224,175,198,221,172,199,225,173,196,222,174,200,223)
(236,622,239,625,238,621,237,624,240,623)(246,247,249,250,248)
(511,512,514,515,513)(536,562,589,540,563,586,537,564,590,538,561,587,
539,565,588)(611,612,614,615,613) ] ],
[ 8, 103680000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5)^4.8", [ "A", 5, 4 ],
[ ( 1,509,603,398,547,168,221, 31,234,476,382,617,468, 97, 44,204)
( 2,519,578, 23,549,153,146,531,233,496,407,242,466, 82,119,454)
( 3,524,528,148,546,158,246,406,232,491,457,117,469, 77, 19,579)
( 4,504,503,523,548,173,171,156,231,481,482,492,467, 92, 94, 79)
( 5,514,553,273,550,163,196,281,235,486,432,367,470, 87, 69,329)
( 6,609,478,397,542,218, 96, 34,229,376,507,618,473, 47,169,201)
( 7,619,453, 22,544,203, 21,534,228,396,532,243,471, 32,244,451)
( 8,624,403,147,541,208,121,409,227,391,582,118,474, 27,144,576)
( 9,604,378,522,543,223, 46,159,226,381,607,493,472, 42,219, 76)
( 10,614,428,272,545,213, 71,284,230,386,557,368,475, 37,194,326)
( 11,559,353,400,537,193,346, 35,239,426,257,620,463, 72,294,205)
( 12,569,328, 25,539,178,271,535,238,446,282,245,461, 57,369,455)
( 13,574,278,150,536,183,371,410,237,441,332,120,464, 52,269,580)
( 14,554,253,525,538,198,296,160,236,431,357,495,462, 67,344, 80)
( 15,564,303,275,540,188,321,285,240,436,307,370,465, 62,319,330)
( 16,584,103,399,527,143,596, 33,249,401,132,616,458,122,419,202)
( 17,594, 78, 24,529,128,521,533,248,421,157,241,456,107,494,452)
( 18,599, 28,149,526,133,621,408,247,416,207,116,459,102,394,577)
( 20,589, 53,274,530,138,571,283,250,411,182,366,460,112,444,327)
( 26,134,601,383,622,418,222, 41,209,101,384,602,393,597, 43,224)
( 29,129,501,508,623,423,172,166,206,106,484,477,392,592, 93, 99)
( 30,139,551,258,625,413,197,291,210,111,434,352,395,587, 68,349)
( 36,184,351,385,612,443,347, 45,214, 51,259,605,388,572,293,225)
( 38,199,276,135,611,433,372,420,212, 66,334,105,389,552,268,600)
( 39,179,251,510,613,448,297,170,211, 56,359,480,387,567,343,100)
( 40,189,301,260,615,438,322,295,215, 61,309,355,390,562,318,350)
( 48,174,151,131,606,483,497,417,217, 91, 84,104,379,502,518,598)
( 49,154,126,506,608,498,422,167,216, 81,109,479,377,517,593, 98)
( 50,164,176,256,610,488,447,292,220, 86, 59,354,380,512,568,348)
( 54,254,505,513,573,298,175,161,181,356,485,487,442,342, 95, 89)
( 55,264,555,263,575,288,200,286,185,361,435,362,445,337, 70,339)
( 58,374,405,137,566,333,125,414,177,266,585,113,449,277,145,586)
( 60,364,430,262,570,338, 75,289,180,261,560,363,450,287,195,336)
( 63,324,280,140,561,308,375,415,187,316,335,115,439,302,270,590)
( 64,304,255,515,563,323,300,165,186,306,360,490,437,317,345, 90)
( 65,314,305,265,565,313,325,290,190,311,310,365,440,312,320,340)
( 73,299,155,136,556,358,500,412,192,341, 85,114,429,252,520,588)
( 74,279,130,511,558,373,425,162,191,331,110,489,427,267,595, 88)
( 83,124,404,127,516,583,123,424,152,141,581,108,499,402,142,591),
( 1,613,449,251,615,444,326,115,443,346, 15,568,349, 5,618,474)
( 2,608,424,126,612,434,276,240,442,331, 40,193,347, 10,543,224)
( 3,623,399,501,614,429,351,490,441,336, 65,318,350, 20,593, 99)
( 4,603,499,376,611,439,301,365,445,341, 90, 68,348, 25,518,599)
( 6,538,199,252,610,419,201,112,433,296,140,567,334, 30,243,472)
( 7,533,174,127,607,409,151,237,432,281,165,192,332, 35,168,222)
( 8,548,149,502,609,404,226,487,431,286,190,317,335, 45,218, 97)
( 9,528,249,377,606,414,176,362,435,291,215, 67,333, 50,143,597)
( 11,563,324,255,620,469, 76,113,448,271,515,569,329,105,493,471)
( 12,558,299,130,617,459, 26,238,447,256,540,194,327,110,418,221)
( 13,573,274,505,619,454,101,488,446,261,565,319,330,120,468, 96)
( 14,553,374,380,616,464, 51,363,450,266,590, 69,328,125,393,596)
( 16,588, 74,253,625,394,576,114,428,371,390,566,339, 55,368,475)
( 17,583, 49,128,622,384,526,239,427,356,415,191,337, 60,293,225)
( 18,598, 24,503,624,379,601,489,426,361,440,316,340, 70,343,100)
( 19,578,124,378,621,389,551,364,430,366,465, 66,338, 75,268,600)
( 21,513,574,254,605,494,451,111,438,321,265,570,344, 80,118,473)
( 22,508,549,129,602,484,401,236,437,306,290,195,342, 85, 43,223)
( 23,523,524,504,604,479,476,486,436,311,315,320,345, 95, 93, 98)
( 27,233,422,131,537,184,277,235,417,206, 37,183,297,135,542,209)
( 28,248,397,506,539,179,352,485,416,211, 62,308,300,145,592, 84)
( 29,228,497,381,536,189,302,360,420,216, 87, 58,298,150,517,584)
( 31,163,197,257,535,169,202,107,408,171,137,557,284,155,242,457)
( 32,158,172,132,532,159,152,232,407,156,162,182,282,160,167,207)
( 33,173,147,507,534,154,227,482,406,161,187,307,285,170,217, 82)
( 34,153,247,382,531,164,177,357,410,166,212, 57,283,175,142,582)
( 36,188,322,260,545,219, 77,108,423,146,512,559,279,230,492,456)
( 38,198,272,510,544,204,102,483,421,136,562,309,280,245,467, 81)
( 39,178,372,385,541,214, 52,358,425,141,587, 59,278,250,392,581)
( 41,213, 72,258,550,144,577,109,403,246,387,556,289,180,367,460)
( 42,208, 47,133,547,134,527,234,402,231,412,181,287,185,292,210)
( 44,203,122,383,546,139,552,359,405,241,462, 56,288,200,267,585)
( 46,138,572,259,530,244,452,106,413,196,262,560,294,205,117,458)
( 48,148,522,509,529,229,477,481,411,186,312,310,295,220, 92, 83)
( 53,373,400,516,589, 54,353,500,391,586, 64,303,375,395,591, 89)
( 61,313,325,270,595, 94, 78,123,398,521,514,554,354,480,491,461)
( 63,323,275,520,594, 79,103,498,396,511,564,304,355,495,466, 86)
( 71,263,575,269,580,119,453,121,388,571,264,555,369,455,116,463)
( 73,273,525,519,579,104,478,496,386,561,314,305,370,470, 91, 88) ] ],
[ 9, 103680000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 32, 3 ] ], 1,
"Alt(5)^4.Q_8", [ "A", 5, 4 ],
[ ( 1,137,248,105, 17,146,240,118)( 2,147,250,120, 16,136,238,103)
( 3,127,247,125, 20,141,236,113)( 4,132,249,110, 19,131,239,108)
( 5,142,246,115, 18,126,237,123)( 6,139,233,104, 7,149,235,119)
( 8,129,232,124, 10,144,231,114)( 9,134,234,109)( 11,138,228,102,
22,150,245,116)( 12,148,230,117, 21,140,243,101)( 13,128,227,122,
25,145,241,111)( 14,133,229,107, 24,135,244,106)( 15,143,226,112,
23,130,242,121)( 26,262,223,605, 67,396,165,368, 76,512,198,480, 42,
271,215,618, 51,387,173,355, 92,521,190,493)( 27,272,225,620, 66,386,
163,353, 77,522,200,495, 41,261,213,603, 52,397,175,370, 91,511,188,
478)( 28,252,222,625, 70,391,161,363, 78,502,197,500, 45,266,211,613,
53,377,172,375, 95,516,186,488)( 29,257,224,610, 69,381,164,358, 79,
507,199,485, 44,256,214,608, 54,382,174,360, 94,506,189,483)
( 30,267,221,615, 68,376,162,373, 80,517,196,490, 43,251,212,623, 55,
392,171,365, 93,501,187,498)( 31,264,208,604, 57,399,160,369, 81,514,
183,479, 32,274,210,619, 56,389,158,354, 82,524,185,494)
( 33,254,207,624, 60,394,156,364, 83,504,182,499, 35,269,206,614, 58,
379,157,374, 85,519,181,489)( 34,259,209,609, 59,384,159,359, 84,509,
184,484)( 36,263,203,602, 72,400,170,366, 86,513,178,477, 47,275,220,
616, 61,388,153,352, 97,525,195,491)( 37,273,205,617, 71,390,168,351,
87,523,180,492, 46,265,218,601, 62,398,155,367, 96,515,193,476)
( 38,253,202,622, 75,395,166,361, 88,503,177,497, 50,270,216,611, 63,
378,152,372,100,520,191,486)( 39,258,204,607, 74,385,169,356, 89,508,
179,482, 49,260,219,606, 64,383,154,357, 99,510,194,481)
( 40,268,201,612, 73,380,167,371, 90,518,176,487, 48,255,217,621, 65,
393,151,362, 98,505,192,496)(276,337,598,555,442,421,290,343,576,562,
448,405,292,346,590,568,426,412,298,330,592,571,440,418)
(277,347,600,570,441,411,288,328,577,572,450,420,291,336,588,553,427,
422,300,345,591,561,438,403)(278,327,597,575,445,416,286,338,578,552,
447,425,295,341,586,563,428,402,297,350,595,566,436,413)
(279,332,599,560,444,406,289,333,579,557,449,410,294,331,589,558,429,
407,299,335,594,556,439,408)(280,342,596,565,443,401,287,348,580,567,
446,415,293,326,587,573,430,417,296,340,593,551,437,423)
(281,339,583,554,432,424,285,344,581,564,433,404,282,349,585,569,431,
414,283,329,582,574,435,419)(284,334,584,559,434,409)
(301,462,548,305,467,546,315,468,526,312,473,530,317,471,540,318,451,
537,323,455,542,321,465,543)(302,472,550,320,466,536,313,453,527,322,
475,545,316,461,538,303,452,547,325,470,541,311,463,528)
(304,457,549,310,469,531,314,458,529,307,474,535,319,456,539,308,454,
532,324,460,544,306,464,533)(309,459,534),
( 1,454,493,141,209,358,261, 89,103,376,469,243,131,334,363, 11, 79,
478,391,219,233,256,339,113)( 2,404,495,191,207,283,265, 64,102,401,
470,193,132,284,365, 61, 77,403,395,194,232,281,340, 63)
( 3,379,494,241,206,333,263, 14,104,476,466,218,133,259,364,111, 76,
453,393,144,234,356,336, 88)( 4,479,491,216,208,258,264,114,101,451,
468,143,134,359,361, 86, 78,378,394,244,231,331,338, 13)
( 5,429,492,166,210,308,262, 39,105,426,467,168,135,309,362, 36, 80,
428,392,169,235,306,337, 38)( 6,329,488, 16,204,483,266,214,108,251,
464,118,126,459,368,136, 84,353,386, 94,228,381,344,238)
( 7,279,490, 66,202,408,270,189,107,276,465, 68,127,409,370,186, 82,
278,390, 69,227,406,345,188)( 8,254,489,116,201,458,268,139,109,351,
461, 93,128,384,369,236, 81,328,388, 19,229,481,341,213)
( 9,354,486, 91,203,383,269,239,106,326,463, 18,129,484,366,211, 83,
253,389,119,226,456,343,138)( 10,304,487, 41,205,433,267,164,110,301,
462, 43,130,434,367,161, 85,303,387, 44,230,431,342,163)
( 12, 29,480,441,217,158,260,314,112, 26,455,443,142,159,360,311, 87,
28,380,444,242,156,335,313)( 15, 54,477,416,220,183,257,289,115, 51,
452,418,145,184,357,286, 90, 53,377,419,245,181,332,288)
( 17,154,485,316,212, 33,255,439,117,151,460,318,137, 34,355,436, 92,
153,385,319,237, 31,330,438)( 20,179,482,291,215, 58,252,414,120,176,
457,293,140, 59,352,411, 95,178,382,294,240, 56,327,413)
( 21,579,498,516,224,608,271,589,123,501,474,618,146,584,373,511, 99,
603,396,594,248,506,349,613)( 22,529,500,566,222,533,275,564,122,526,
475,568,147,534,375,561, 97,528,400,569,247,531,350,563)
( 23,504,499,616,221,583,273,514,124,601,471,593,148,509,374,611, 96,
578,398,519,249,606,346,588)( 24,604,496,591,223,508,274,614,121,576,
473,518,149,609,371,586, 98,503,399,619,246,581,348,513)
( 25,554,497,541,225,558,272,539,125,551,472,543,150,559,372,536,100,
553,397,544,250,556,347,538)( 27,405,445,192,157,285,315, 62)
( 30,430,442,167,160,310,312, 37)( 32,280,440, 67,152,410,320,187)
( 35,305,437, 42,155,435,317,162)( 40, 55,427,417,170,185,307,287)
( 45,180,432,292,165, 60,302,412)( 46,580,448,517,174,610,321,587, 48,
505,449,617,171,585,323,512, 49,605,446,592,173,510,324,612)
( 47,530,450,567,172,535,325,562)( 50,555,447,542,175,560,322,537)
( 52,402,420,195,182,282,290, 65)( 57,277,415, 70,177,407,295,190)
( 71,577,423,520,199,607,296,590, 73,502,424,620,196,582,298,515, 74,
602,421,595,198,507,299,615)( 72,527,425,570,197,532,300,565)
( 75,552,422,545,200,557,297,540)(521,599,623)(522,549,625,571,597,
548,525,574,622,546,600,573)(523,524,624,621,596,598)(547,550,575,572
) ] ],
[ 10, 103680000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 32, 3 ] ], 1,
"Alt(5)^4.2^3", [ "A", 5, 4 ],
[ ( 1, 83,173,191,111, 3,208,171, 66,113,128,206, 46, 68,238,126, 81, 48,
193,236)( 2,458,175,316,112,378,210,296, 67,488,130,331, 47,443,240,
251, 82,423,195,361)( 4,583,174,566,114,503,209,546, 69,613,129,581,
49,568,239,501, 84,548,194,611)( 5,333,172,441,115,253,207,421, 70,
363,127,456, 50,318,237,376, 85,298,192,486)( 6, 33,168,241,101, 78,
223,196, 61, 13,133,156, 41,118,228,201, 96, 73,188,136)
( 7,408,170,366,102,453,225,321, 62,388,135,281, 42,493,230,326, 97,
448,190,261)( 8,158,166,116,103,203,221, 71, 63,138,131, 31, 43,243,
226, 76, 98,198,186, 11)( 9,533,169,616,104,578,224,571, 64,513,134,
531, 44,618,229,576, 99,573,189,511)( 10,283,167,491,105,328,222,446,
65,263,132,406, 45,368,227,451,100,323,187,386)( 12,383,160,291,117,
478,205,346, 72,438,140,256, 32,418,245,351, 77,473,200,311)
( 14,508,159,541,119,603,204,596, 74,563,139,506, 34,543,244,601, 79,
598,199,561)( 15,258,157,416,120,353,202,471, 75,313,137,381, 35,293,
242,476, 80,348,197,436)( 16,108,153,216,121, 53,213,146, 56, 38,143,
231, 26, 93,248,176, 86, 23,183,161)( 17,483,155,341,122,428,215,271,
57,413,145,356, 27,468,250,301, 87,398,185,286)( 18,233,151, 91,123,
178,211, 21, 58,163,141,106, 28,218,246, 51, 88,148,181, 36)
( 19,608,154,591,124,553,214,521, 59,538,144,606, 29,593,249,551, 89,
523,184,536)( 20,358,152,466,125,303,212,396, 60,288,142,481, 30,343,
247,426, 90,273,182,411)( 22,433,165,266,107,403,220,371, 52,463,150,
306, 37,393,235,276, 92,498,180,336)( 24,558,164,516,109,528,219,621,
54,588,149,556, 39,518,234,526, 94,623,179,586)( 25,308,162,391,110,
278,217,496, 55,338,147,431, 40,268,232,401, 95,373,177,461)
(252,457,425,320,362,377,460,300,317,487,380,335,297,442,490,255,332,
422,445,365)(254,582,424,570,364,502,459,550,319,612,379,585,299,567,
489,505,334,547,444,615)(257,407,420,370,352,452,475,325,312,387,385,
285,292,492,480,330,347,447,440,265)(259,532,419,620,354,577,474,575,
314,512,384,535,294,617,479,580,349,572,439,515)(260,282,417,495,355,
327,472,450,315,262,382,410,295,367,477,455,350,322,437,390)
(264,507,409,545,369,602,454,600,324,562,389,510,284,542,494,605,329,
597,449,565)(267,482,405,345,372,427,465,275,307,412,395,360,277,467,
500,305,337,397,435,290)(269,607,404,595,374,552,464,525,309,537,394,
610,279,592,499,555,339,522,434,540)(270,357,402,470,375,302,462,400,
310,287,392,485,280,342,497,430,340,272,432,415)(274,557,414,520,359,
527,469,625,304,587,399,560,289,517,484,530,344,622,429,590)
(504,584,549,569,614)(509,534,544,619,604,579,599,574,564,514)
(519,609,529,594,624,554,589,524,559,539),
( 1,574,393,576, 24,568,376,599, 18,551,399,593)( 2,564,392,586, 22,
563,377,589, 17,561,397,588)( 3,554,394,591, 21,573,378,579, 19,566,
396,598)( 4,569,391,596, 23,553,379,594, 16,571,398,578)
( 5,559,395,581, 25,558,380,584, 20,556,400,583)( 6,575,383,580, 9,
570,381,600, 8,555,384,595)( 7,565,382,590)( 10,560,385,585)
( 11,572,388,577, 14,567,386,597, 13,552,389,592)( 12,562,387,587)
( 15,557,390,582)( 26,199,493,326, 49,193,476,349, 43,176,499,343)
( 27,189,492,336, 47,188,477,339, 42,186,497,338)( 28,179,494,341, 46,
198,478,329, 44,191,496,348)( 29,194,491,346, 48,178,479,344, 41,196,
498,328)( 30,184,495,331, 50,183,480,334, 45,181,500,333)
( 31,200,483,330, 34,195,481,350, 33,180,484,345)( 32,190,482,340)
( 35,185,485,335)( 36,197,488,327, 39,192,486,347, 38,177,489,342)
( 37,187,487,337)( 40,182,490,332)( 51,449,468, 76, 74,443,451, 99,
68,426,474, 93)( 52,439,467, 86, 72,438,452, 89, 67,436,472, 88)
( 53,429,469, 91, 71,448,453, 79, 69,441,471, 98)( 54,444,466, 96, 73,
428,454, 94, 66,446,473, 78)( 55,434,470, 81, 75,433,455, 84, 70,431,
475, 83)( 56,450,458, 80, 59,445,456,100, 58,430,459, 95)
( 57,440,457, 90)( 60,435,460, 85)( 61,447,463, 77, 64,442,461, 97,
63,427,464, 92)( 62,437,462, 87)( 65,432,465, 82)(101,324,418,201,
124,318,401,224,118,301,424,218)(102,314,417,211,122,313,402,214,117,
311,422,213)(103,304,419,216,121,323,403,204,119,316,421,223)
(104,319,416,221,123,303,404,219,116,321,423,203)(105,309,420,206,125,
308,405,209,120,306,425,208)(106,325,408,205,109,320,406,225,108,305,
409,220)(107,315,407,215)(110,310,410,210)(111,322,413,202,114,317,
411,222,113,302,414,217)(112,312,412,212)(115,307,415,207)
(126,624,268,526,149,618,251,549,143,601,274,543)(127,614,267,536,147,
613,252,539,142,611,272,538)(128,604,269,541,146,623,253,529,144,616,
271,548)(129,619,266,546,148,603,254,544,141,621,273,528)
(130,609,270,531,150,608,255,534,145,606,275,533)(131,625,258,530,134,
620,256,550,133,605,259,545)(132,615,257,540)(135,610,260,535)
(136,622,263,527,139,617,261,547,138,602,264,542)(137,612,262,537)
(140,607,265,532)(151,249,368,276,174,243,351,299,168,226,374,293)
(152,239,367,286,172,238,352,289,167,236,372,288)(153,229,369,291,171,
248,353,279,169,241,371,298)(154,244,366,296,173,228,354,294,166,246,
373,278)(155,234,370,281,175,233,355,284,170,231,375,283)
(156,250,358,280,159,245,356,300,158,230,359,295)(157,240,357,290)
(160,235,360,285)(161,247,363,277,164,242,361,297,163,227,364,292)
(162,237,362,287)(165,232,365,282)(501,524,518)(502,514,517,511,522,
513)(503,504,519,516,521,523)(505,509,520,506,525,508)(507,515),
( 1,521,256,126,511,381,141, 11,396,266)( 2,596,260,176,513,406,142,
86,400,316, 3,546,257,201,515,431,143, 36,397,341, 5,571,258,151,
512,456,145, 61,398,291)( 4,621,259,226,514,481,144,111,399,366)
( 6,146,261,376,516)( 7,221,265,426,518, 31,147,336,380,566, 8,171,
262,451,520, 56,148,286,377,591, 10,196,263,401,517, 81,150,311,378,
541)( 9,246,264,476,519,106,149,361,379,616)( 12,471,270, 51,523,
281,127,586,385,191, 13,421,267, 76,525,306,128,536,382,216, 15,446,
268, 26,522,331,130,561,383,166)( 14,496,269,101,524,356,129,611,384,
241)( 16, 21,271,251,501,506,131,136,386,391)( 17, 96,275,301,503,
531,132,211,390,441, 18, 46,272,326,505,556,133,161,387,466, 20, 71,
273,276,502,581,135,186,388,416)( 19,121,274,351,504,606,134,236,389,
491)( 22,346,255,551,508,156,137,461,395, 66, 23,296,252,576,510,181,
138,411,392, 91, 25,321,253,526,507,206,140,436,393, 41)
( 24,371,254,601,509,231,139,486,394,116)( 27,597,335,180,563,408,167,
87,475,320, 53,548,282,202,590,435,193, 38,422,342, 80,575,308,153,
537,457,220, 65,448,293)( 28,547,332,205,565,433,168, 37,472,345, 55,
573,283,152,587,460,195, 63,423,292, 77,600,310,178,538,407,217, 90,
450,318)( 29,622,334,230,564,483,169,112,474,370, 54,623,284,227,589,
485,194,113,424,367, 79,625,309,228,539,482,219,115,449,368)
( 30,572,333,155,562,458,170, 62,473,295, 52,598,285,177,588,410,192,
88,425,317, 78,550,307,203,540,432,218, 40,447,343)( 32,222,340,430,
568, 33,172,337,455,570, 58,173,287,452,595, 60,198,288,402,592, 85,
200,313,403,542, 82,225,315,428,543)( 34,247,339,480,569,108,174,362,
454,620, 59,248,289,477,594,110,199,363,404,617, 84,250,314,478,544,
107,224,365,429,618)( 35,197,338,405,567, 83,175,312,453,545, 57,223,
290,427,593)( 39,497,344,105,574,358,154,612,459,245, 64,498,294,102,
599,360,179,613,409,242, 89,500,319,103,549,357,204,615,434,243)
( 42, 97,350,305,553,533,157,212,465,445, 68, 48,297,327,580,560,183,
163,412,467, 95, 75,323,278,527,582,210,190,438,418)( 43, 47,347,330,
555,558,158,162,462,470, 70, 73,298,277,577,585,185,188,413,417, 92,
100,325,303,528,532,207,215,440,443)( 44,122,349,355,554,608,159,237,
464,495, 69,123,299,352,579,610,184,238,414,492, 94,125,324,353,529,
607,209,240,439,493)( 45, 72,348,280,552,583,160,187,463,420, 67, 98,
300,302,578,535,182,213,415,442, 93, 50,322,328,530,557,208,165,437,
468)( 49,372,329,605,559,233,164,487,469,120, 74,373,279,602,584,235,
189,488,419,117, 99,375,304,603,534,232,214,490,444,118)
(104,624,359,229,614,484,244,114,499,369)(109,249,364,479,619)
(119,124,374,354,604,609,234,239,489,494) ] ],
[ 11, 103680000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 32, 3 ] ], 1,
"Alt(5)^4.(2 x 4)", [ "A", 5, 4 ],
[ ( 1,123,481,450,301,298,156,150)( 2,118,482,445,302,293,157,145)
( 3,108,485,430,303,283,160,130)( 4,113,484,440,304,288,159,140)
( 5,103,483,435,305,278,158,135)( 6,125,476,448,306,300,151,148)
( 7,120,477,443,307,295,152,143)( 8,110,480,428,308,285,155,128)
( 9,115,479,438,309,290,154,138)( 10,105,478,433,310,280,153,133)
( 11,124,486,449,311,299,161,149)( 12,119,487,444,312,294,162,144)
( 13,109,490,429,313,284,165,129)( 14,114,489,439,314,289,164,139)
( 15,104,488,434,315,279,163,134)( 16,122,491,447,316,297,166,147)
( 17,117,492,442,317,292,167,142)( 18,107,495,427,318,282,170,127)
( 19,112,494,437,319,287,169,137)( 20,102,493,432,320,277,168,132)
( 21,121,496,446,321,296,171,146)( 22,116,497,441,322,291,172,141)
( 23,106,500,426,323,281,175,126)( 24,111,499,436,324,286,174,136)
( 25,101,498,431,325,276,173,131)( 26,248,381, 75,351,423,181,275)
( 27,243,382, 70,352,418,182,270)( 28,233,385, 55,353,408,185,255)
( 29,238,384, 65,354,413,184,265)( 30,228,383, 60,355,403,183,260)
( 31,250,376, 73,356,425,176,273)( 32,245,377, 68,357,420,177,268)
( 33,235,380, 53,358,410,180,253)( 34,240,379, 63,359,415,179,263)
( 35,230,378, 58,360,405,178,258)( 36,249,386, 74,361,424,186,274)
( 37,244,387, 69,362,419,187,269)( 38,234,390, 54,363,409,190,254)
( 39,239,389, 64,364,414,189,264)( 40,229,388, 59,365,404,188,259)
( 41,247,391, 72,366,422,191,272)( 42,242,392, 67,367,417,192,267)
( 43,232,395, 52,368,407,195,252)( 44,237,394, 62,369,412,194,262)
( 45,227,393, 57,370,402,193,257)( 46,246,396, 71,371,421,196,271)
( 47,241,397, 66,372,416,197,266)( 48,231,400, 51,373,406,200,251)
( 49,236,399, 61,374,411,199,261)( 50,226,398, 56,375,401,198,256)
( 76,623,456,575,326,548,206,525)( 77,618,457,570,327,543,207,520)
( 78,608,460,555,328,533,210,505)( 79,613,459,565,329,538,209,515)
( 80,603,458,560,330,528,208,510)( 81,625,451,573,331,550,201,523)
( 82,620,452,568,332,545,202,518)( 83,610,455,553,333,535,205,503)
( 84,615,454,563,334,540,204,513)( 85,605,453,558,335,530,203,508)
( 86,624,461,574,336,549,211,524)( 87,619,462,569,337,544,212,519)
( 88,609,465,554,338,534,215,504)( 89,614,464,564,339,539,214,514)
( 90,604,463,559,340,529,213,509)( 91,622,466,572,341,547,216,522)
( 92,617,467,567,342,542,217,517)( 93,607,470,552,343,532,220,502)
( 94,612,469,562,344,537,219,512)( 95,602,468,557,345,527,218,507)
( 96,621,471,571,346,546,221,521)( 97,616,472,566,347,541,222,516)
( 98,606,475,551,348,531,225,501)( 99,611,474,561,349,536,224,511)
(100,601,473,556,350,526,223,506)(576,598,581,600)(577,593,582,595)
(578,583,585,580)(579,588,584,590)(586,599)(587,594)(591,597),
( 1,374,542,130,309,418,215, 56,498,587)( 2,274,544,155,310,443,213,
81,496,612)( 3,349,541,230,307,393,214, 31,500,562)
( 4,299,545,180,308,468,211,106,497,512)( 5,324,543,205,306,493,212,
6,499,537)( 7,399,539, 30,325,568,203,331,491,237)( 8,474,536,105,
322,518,204,281,495,187)( 9,424,540, 55,323,593,201,356,492,137)
( 10,449,538, 80,321,618,202,256,494,162)( 11,124,547,505,304,293,220,
181,483,462)( 12, 24,549,530,305,318,218,206,481,487)
( 13, 99,546,605,302,268,219,156,485,437)( 14, 49,550,555,303,343,216,
231,482,387)( 15, 74,548,580,301,368,217,131,484,412)
( 16,249,532,380,314, 43,225,556,478,337)( 17,149,534,405,315, 68,223,
581,476,362)( 18,224,531,480,312)( 19,174,535,430,313, 93,221,606,
477,262)( 20,199,533,455,311,118,222,506,479,287)( 21,624,527,255,
319,168,210,431,488, 87)( 22,524,529,280,320,193,208,456,486,112)
( 23,599,526,355,317,143,209,406,490, 62)( 25,574,528,330,316,243,207,
381,489, 37)( 26,375,567,128,334,416,240, 57,398,589)
( 27,275,569,153,335,441,238, 82,396,614)( 28,350,566,228,332,391,239,
32,400,564)( 29,300,570,178,333,466,236,107,397,514)( 33,475,561,103,
347,516,229,282,395,189)( 34,425,565, 53,348,591,226,357,392,139)
( 35,450,563, 78,346,616,227,257,394,164)( 36,125,572,503,329,291,245,
182,383,464)( 38,100,571,603,327,266,244,157,385,439)
( 39, 50,575,553,328,341,241,232,382,389)( 40, 75,573,578,326,366,242,
132,384,414)( 41,250,557,378,339)( 42,150,559,403,340, 66,248,582,
376,364)( 44,175,560,428,338, 91,246,607,377,264)( 45,200,558,453,
336,116,247,507,379,289)( 46,625,552,253,344,166,235,432,388, 89)
( 47,525,554,278,345,191,233,457,386,114)( 48,600,551,353,342,141,234,
407,390, 64)( 51,373,592,126,359,417,140, 59,423,590)
( 52,273,594,151,360,442,138, 84,421,615)( 54,298,595,176,358,467,136,
109,422,515)( 58,473,586,101,372,517,129,284,420,190)
( 60,448,588, 76,371,617,127,259,419,165)( 61,123,597,501,354,292,145,
184,408,465)( 63, 98,596,601,352,267,144,159,410,440)
( 65, 73,598,576,351,367,142,134,409,415)( 67,148,584,401,365)
( 69,173,585,426,363, 92,146,609,402,265)( 70,198,583,451,361,117,147,
509,404,290)( 71,623,577,251,369,167,135,434,413, 90)
( 72,523,579,276,370,192,133,459,411,115)( 77,271,619,152,260,444,163,
85,446,613)( 79,296,620,177,258,469,161,110,447,513)( 83,471,611,102,
272,519,154,285,445,188)( 86,121,622,502,254,294,170,185,433,463)
( 88, 96,621,602,252,269,169,160,435,438)( 94,171,610,427,263)
( 95,196,608,452,261,119,172,510,429,288)( 97,521,604,277,270,194,158,
460,436,113)(104,297,520,179,283,470,186,108,472,511)
(111,122,522,504,279,295,195,183,458,461)(120,197,508,454,286) ] ],
[ 12, 103680000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 32, 3 ] ], 1,
"Alt(5)^4.D_8", [ "A", 5, 4 ],
[ ( 1,569,285,473,136, 54,545,333,396,189, 30,593,256,449,165, 78,516,309,
425,213)( 2,619,282,498,137,104,542,358,397,239, 27,618,257,499,162,
103,517,359,422,238)( 3,519,284,423,138, 4,544,283,398,139, 29,543,
258,399,164, 28,518,259,424,163)( 5,594,281,448,140, 79,541,308,400,
214, 26,568,260,474,161, 53,520,334,421,188)( 6,444,290, 98,141,304,
550,208,376,564, 35,468,261, 74,170,328,521,184,405,588)
( 7,494,287,123,142,354,547,233,377,614, 32,493,262,124,167,353,522,
234,402,613)( 8,394,289, 48,143,254,549,158,378,514, 34,418,263, 24,
169,278,523,134,404,538)( 9,419,288, 23,144,279,548,133,379,539, 33,
393,264, 49,168,253,524,159,403,513)( 10,469,286, 73,145,329,546,183,
380,589, 31,443,265, 99,166,303,525,209,401,563)( 11, 69,295,348,146,
179,530,583,381,439, 40, 93,266,324,175,203,501,559,410,463)
( 12,119,292,373,147,229,527,608,382,489, 37,118,267,374,172,228,502,
609,407,488)( 13, 19,294,298,148,129,529,533,383,389, 39, 43,268,274,
174,153,503,509,409,413)( 14, 44,293,273,149,154,528,508,384,414, 38,
18,269,299,173,128,504,534,408,388)( 15, 94,291,323,150,204,526,558,
385,464, 36, 68,270,349,171,178,505,584,406,438)( 16,319,300,223,126,
554,535,458,386, 64, 45,343,271,199,155,578,506,434,415, 88)
( 17,369,297,248,127,604,532,483,387,114, 42,368,272,249,152,603,507,
484,412,113)( 20,344,296,198,130,579,531,433,390, 89, 41,318,275,224,
151,553,510,459,411, 63)( 21,194,280,598,131,429,540, 83,391,314, 50,
218,251,574,160,453,511, 59,420,338)( 22,244,277,623,132,479,537,108,
392,364, 47,243,252,624,157,478,512,109,417,363)( 25,219,276,573,135,
454,536, 58,395,339, 46,193,255,599,156,428,515, 84,416,313)
( 51,570,335,471,186, 55,595,331,446,190, 80,591,306,450,215, 76,566,
310,475,211)( 52,620,332,496,187,105,592,356,447,240, 77,616,307,500,
212,101,567,360,472,236)( 56,445,340, 96,191,305,600,206,426,565, 85,
466,311, 75,220,326,571,185,455,586)( 57,495,337,121,192,355,597,231,
427,615, 82,491,312,125,217,351,572,235,452,611)( 60,470,336, 71,195,
330,596,181,430,590, 81,441,315,100,216,301,575,210,451,561)
( 61, 70,345,346,196,180,580,581,431,440, 90, 91,316,325,225,201,551,
560,460,461)( 62,120,342,371,197,230,577,606,432,490, 87,116,317,375,
222,226,552,610,457,486)( 65, 95,341,321,200,205,576,556,435,465, 86,
66,320,350,221,176,555,585,456,436)( 67,370,347,246,177,605,582,481,
437,115, 92,366,322,250,202,601,557,485,462,111)( 72,245,327,621,182,
480,587,106,442,365, 97,241,302,625,207,476,562,110,467,361)
(102,617,357,497,237)(107,492,362,122,242,352,622,232,477,612)
(112,117,367,372,247,227,602,607,482,487),
( 1,417,309,576,142,484, 51,542,259,451,192,609)( 2,407,306,591,144,
479, 52,532,256,466,194,604)( 3,422,310,586,143,499, 55,537,258,471,
195,614)( 4,402,307,581,141,494, 54,527,257,456,191,619)
( 5,412,308,596,145,489, 53,547,260,461,193,624)( 6,416,319,579,127,
482, 56,541,269,454,177,607)( 7,406,316,594,129,477, 57,531,266,469,
179,602)( 8,421,320,589,128,497, 60,536,268,474,180,612)
( 9,401,317,584,126,492, 59,526,267,459,176,617)( 10,411,318,599,130,
487, 58,546,270,464,178,622)( 11,418,324,580,137,483, 71,545,264,453,
197,610)( 12,408,321,595,139,478, 72,535,261,468,199,605)
( 13,423,325,590,138,498, 75,540,263,473,200,615)( 14,403,322,585,136,
493, 74,530,262,458,196,620)( 15,413,323,600,140,488, 73,550,265,463,
198,625)( 16,419,304,577,132,481, 66,544,254,452,182,606)
( 17,409,301,592,134,476, 67,534,251,467,184,601)( 18,424,305,587,133,
496, 70,539,253,472,185,611)( 19,404,302,582,131,491, 69,529,252,457,
181,616)( 20,414,303,597,135,486, 68,549,255,462,183,621)
( 21,420,314,578,147,485, 61,543,274,455,187,608)( 22,410,311,593,149,
480, 62,533,271,470,189,603)( 23,425,315,588,148,500, 65,538,273,475,
190,613)( 24,405,312,583,146,495, 64,528,272,460,186,618)
( 25,415,313,598,150,490, 63,548,275,465,188,623)( 26,292,334,201,242,
109)( 27,282,331,216,244,104)( 28,297,335,211,243,124, 30,287,333,
221,245,114)( 29,277,332,206,241,119)( 31,291,344,204,227,107)
( 32,281,341,219,229,102)( 33,296,345,214,228,122, 35,286,343,224,230,
112)( 34,276,342,209,226,117)( 36,293,349,205,237,108, 46,295,339,
203,247,110)( 37,283,346,220,239,103, 47,285,336,218,249,105)
( 38,298,350,215,238,123, 50,290,338,223,250,115)( 39,278,347,210,236,
118, 49,280,337,208,246,120)( 40,288,348,225,240,113, 48,300,340,213,
248,125)( 41,294,329,202,232,106)( 42,284,326,217,234,101)
( 43,299,330,212,233,121, 45,289,328,222,235,111)( 44,279,327,207,231,
116)( 76,167,359)( 77,157,356, 91,169,354)( 78,172,360, 86,168,374,
80,162,358, 96,170,364)( 79,152,357, 81,166,369)( 82,156,366, 94,
154,352)( 83,171,370, 89,153,372, 85,161,368, 99,155,362)
( 84,151,367)( 87,158,371, 95,164,353, 97,160,361, 93,174,355)
( 88,173,375, 90,163,373,100,165,363, 98,175,365)( 92,159,351)
(376,442,559,501,392,434,551,517,384,426,567,509)(377,432,556,516,394,
429,552,507,381,441,569,504)(378,447,560,511,393,449,555,512,383,446,
570,514)(379,427,557,506,391,444,554,502,382,431,566,519)
(380,437,558,521,395,439,553,522,385,436,568,524)(386,443,574,505,387,
433,571,520,389,428,572,510)(388,448,575,515)(390,438,573,525)
(396,445,564,503,397,435,561,518,399,430,562,508)(398,450,565,513)
(400,440,563,523) ] ],
[ 13, 103680000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5)^4.(2 x 4)", [ "A", 5, 4 ],
[ ( 1,336,353,106,332,227,181,317,245,560,542,175,574,419,400,514,413, 23,
89,453)( 2,211,303,116,335,602,156,322,244,435,517,165,573, 44,475,
504,411,273,114,458)( 3, 86,328,101,331,352,231,307,242,185,567,170,
575,544,425,524,414,398, 14,463)( 4,461,253,111,333,102,206,302,241,
310,617,160,572,169,450,519,415,523, 39,473)( 5,586,278,121,334,477,
131,312,243, 60,592,155,571,294,500,509,412,148, 64,468)
( 6,337,228, 56,342,230,556,292,250,559,417,150,564,418, 25,589,403,
21,339,478)( 7,212,178, 66,345,605,531,297,249,434,392,140,563, 43,
100,579,401,271,364,483)( 8, 87,203, 51,341,355,606,282,247,184,442,
145,565,543, 50,599,404,396,264,488)( 9,462,128, 61,343,105,581,277,
246,309,492,135,562,168, 75,594,405,521,289,498)( 10,587,153, 71,344,
480,506,287,248, 59,467,130,561,293,125,584,402,146,314,493)
( 11,338,103, 81,327,226,306,367,235,557,167,200,569,420,525,539,423,
24,464,378)( 12,213, 53, 91,330,601,281,372,234,432,142,190,568, 45,
600,529,421,274,489,383)( 13, 88, 78, 76,326,351,356,357,232,182,192,
195,570,545,550,549,424,399,389,388)( 15,588, 28, 96,329,476,256,362,
233, 57,217,180,566,295,625,534,422,149,439,393)( 16,340,603, 31,347,
229,431,267,240,558, 42,225,554,416,275,614,408, 22,214,428)
( 17,215,553, 41,350,604,406,272,239,433)( 18, 90,578, 26,346,354,481,
257,237,183, 67,220,555,541,300,624,409,397,139,438)( 19,465,503, 36,
348,104,456,252,236,308,117,210,552,166,325,619,410,522,164,448)
( 20,590,528, 46,349,479,381,262,238, 58, 92,205,551,291,375,609,407,
147,189,443)( 27,221,304,491,260,612,158, 72,219,430,516,290,623, 34,
472,129,436,268,115,583)( 29,471,254,486,258,112,208, 52,216,305,616,
285,622,159,447,144,440,518, 40,598)( 30,596,279,496,259,487,133, 62,
218, 55,591,280,621,284,497,134,437,143, 65,593)( 32,222,179,441,270,
615,533, 47,224,429,391,265,613, 33, 97,204,426,266,365,608)
( 35,597,154,446,269,490,508, 37,223, 54,466,255,611,283,122,209,427,
141,315,618)( 38, 98, 79,451,251,361,358,107,207,177,191,320,620,535,
547,174,449,394,390,513)( 48, 99,454,376,261,363,108, 82,202,176,316,
370,610,532,172,199,444,395,515,538)( 49,474,379,386,263,113, 83, 77,
201,301,366,360,607,157,197,194,445,520,540,548)( 63, 93, 80,576,276,
371,359,482,132,187,193, 70,595,530,546,299,499,384,387,138)
( 68, 95,580,526,296,374,484,382,137,188)( 69,470,505,536,298,124,459,
377,136,313,118, 85,577,151,321,369,485,507,162,198)( 73, 94,455,501,
286,373,109,457,127,186,318,120,585,527,171,324,494,385,512,163)
( 74,469,380,511,288,123, 84,452,126,311,368,110,582,152,196,319,495,
510,537,173)(119,460,502,161,323), ( 1,417,301,482,314,608, 14,543)
( 2,292,351,487,313,108, 39,528)( 3, 42,276,477,312,358,114,538)
( 4,542,251,492,311,483, 64,533)( 5,167,326,497,315,233, 89,548)
( 6,419,551,382,319,606,389,568)( 7,294,601,387,318,106,414,553)
( 8, 44,526,377,317,356,489,563)( 9,544,501,392,316,481,439,558)
( 10,169,576,397,320,231,464,573)( 11,418, 51,407,304,607,264,618)
( 12,293,101,412,303,107,289,603)( 13, 43, 26,402,302,357,364,613)
( 15,168, 76,422,305,232,339,623)( 16,416,426,432,309,609,514,518)
( 17,291,476,437,308,109,539,503)( 18, 41,401,427,307,359,614,513)
( 19,541,376,442,306,484,564,508)( 20,166,451,447,310,234,589,523)
( 21,420,176,457,324,610,139,593)( 22,295,226,462,323,110,164,578)
( 23, 45,151,452,322,360,239,588)( 24,545,126,467,321,485,189,583)
( 25,170,201,472,325,235,214,598)( 27,277,352,362,363,113, 38, 28)
( 29,527,252,367,361,488, 63, 33)( 30,152,327,372,365,238, 88, 48)
( 31,404,552,257,369,611,388, 68)( 32,279,602,262,368,111,413, 53)
( 34,529,502,267,366,486,438, 58)( 35,154,577,272,370,236,463, 73)
( 36,403, 52,282,354,612,263,118)( 37,278,102,287,353,112,288,103)
( 40,153, 77,297,355,237,338,123)( 46,405,177,332,374,615,138, 93)
( 47,280,227,337,373,115,163, 78)( 49,530,127,342,371,490,188, 83)
( 50,155,202,347,375,240,213, 98)( 54,532,254,617,261,493, 61,408)
( 55,157,329,622,265,243, 86,423)( 56,409,554,507,269,616,386,443)
( 57,284,604,512,268,116,411,428)( 59,534,504,517,266,491,436,433)
( 60,159,579,522,270,241,461,448)( 62,283,104,537,253,117,286,478)
( 65,158, 79,547,255,242,336,498)( 66,406,429,557,259,619,511,393)
( 67,281,479,562,258,119,536,378)( 69,531,379,567,256,494,561,383)
( 70,156,454,572,260,244,586,398)( 71,410,179,582,274,620,136,468)
( 72,285,229,587,273,120,161,453)( 74,535,129,592,271,495,186,458)
( 75,160,204,597,275,245,211,473)( 80,172,330,247,340,248, 90,173)
( 81,424,555,132,344,621,390,193)( 82,299,605,137,343,121,415,178)
( 84,549,505,142,341,496,440,183)( 85,174,580,147,345,246,465,198)
( 87,298,105,162,328,122,290,228)( 91,421,430,182,334,624,515,143)
( 92,296,480,187,333,124,540,128)( 94,546,380,192,331,499,565,133)
( 95,171,455,197,335,249,590,148)( 96,425,180,207,349,625,140,218)
( 97,300,230,212,348,125,165,203)( 99,550,130,217,346,500,190,208)
(100,175,205,222,350,250,215,223)(131,469,571,385,194,581,399,570)
(134,594,521,395,191,456,449,560)(135,219,596,400,195,206,474,575)
(141,466,446,435,184,584,524,520)(144,591,396,445,181,459,574,510)
(145,216,471,450,185,209,599,525)(146,470,196,460,199,585,149,595)
(150,220,221,475,200,210,224,600)(381,444,556,384,569,506,394,566)
(391,441,431,434,559,509,519,516) ] ],
[ 14, 103680000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5)^4.D_8", [ "A", 5, 4 ],
[ ( 1,317,603,335,126,322,103,345,501,307,228,350)( 2,318,605,331,127,323,
105,341,502,308,230,346)( 3,320,601,332,128,325,101,342,503,310,226,
347)( 4,319,604,334,129,324,104,344,504,309,229,349)
( 5,316,602,333,130,321,102,343,505,306,227,348)( 6,192,623, 85,141,
572,108,220,521, 57,243,600)( 7,193,625, 81,142,573,110,216,522, 58,
245,596)( 8,195,621, 82,143,575,106,217,523, 60,241,597)
( 9,194,624, 84,144,574,109,219,524, 59,244,599)( 10,191,622, 83,145,
571,107,218,525, 56,242,598)( 11,442,613,460,136,447,113,470,511,432,
238,475)( 12,443,615,456,137,448,115,466,512,433,240,471)
( 13,445,611,457,138,450,111,467,513,435,236,472)( 14,444,614,459,139,
449,114,469,514,434,239,474)( 15,441,612,458,140,446,112,468,515,431,
237,473)( 16,567,608,210,146, 72,118,595,506,182,248,100)
( 17,568,610,206,147, 73,120,591,507,183,250, 96)( 18,570,606,207,148,
75,116,592,508,185,246, 97)( 19,569,609,209,149, 74,119,594,509,184,
249, 99)( 20,566,607,208,150, 71,117,593,510,181,247, 98)
( 21, 67,618,585,131,197,123, 95,516,557,233,225)( 22, 68,620,581,132,
198,125, 91,517,558,235,221)( 23, 70,616,582,133,200,121, 92,518,560,
231,222)( 24, 69,619,584,134,199,124, 94,519,559,234,224)
( 25, 66,617,583,135,196,122, 93,520,556,232,223)( 26,292,528,285,151,
297, 28,295,526,282,153,300)( 27,293,530,281,152,298, 30,291,527,283,
155,296)( 29,294,529,284,154,299)( 31,167,548, 35,166,547, 33,170,
546, 32,168,550)( 34,169,549)( 36,417,538,410,161,422, 38,420,536,
407,163,425)( 37,418,540,406,162,423, 40,416,537,408,165,421)
( 39,419,539,409,164,424)( 41,542,533,160,171, 47, 43,545,531,157,173,
50)( 42,543,535,156,172, 48, 45,541,532,158,175, 46)( 44,544,534,159,
174, 49)( 51,367,578,260,176,372, 78,270,551,357,203,275)
( 52,368,580,256,177,373, 80,266,552,358,205,271)( 53,370,576,257,178,
375, 76,267,553,360,201,272)( 54,369,579,259,179,374, 79,269,554,359,
204,274)( 55,366,577,258,180,371, 77,268,555,356,202,273)
( 61,492,588,385,186,497, 88,395,561,482,213,400)( 62,493,590,381,187,
498, 90,391,562,483,215,396)( 63,495,586,382,188,500, 86,392,563,485,
211,397)( 64,494,589,384,189,499, 89,394,564,484,214,399)
( 65,491,587,383,190,496, 87,393,565,481,212,398)(251,302,353,330)
(252,303,355,326)(253,305,351,327)(254,304,354,329)(255,301,352,328)
(261,427,363,455)(262,428,365,451)(263,430,361,452)(264,429,364,454)
(265,426,362,453)(276,277,278,280)(286,402,288,405)(287,403,290,401)
(289,404)(311,477,338,380)(312,478,340,376)(313,480,336,377)
(314,479,339,379)(315,476,337,378)(386,437,488,465)(387,438,490,461)
(388,440,486,462)(389,439,489,464)(390,436,487,463)(411,412,413,415),
( 1,612,270,439, 85,498,216,549)( 2,362,320,434, 83,248,166,529)
( 3,237,295,429, 82,373,191,534)( 4,112,370,444, 84,123,241,544)
( 5,487,345,449, 81,623,141,539)( 6,613,145,414, 80,497,341,574)
( 7,363,195,409, 78,247,291,554)( 8,238,170,404, 77,372,316,559)
( 9,113,245,419, 79,122,366,569)( 10,488,220,424, 76,622,266,564)
( 11,615,395,464,100,496,591,524)( 12,365,445,459, 98,246,541,504)
( 13,240,420,454, 97,371,566,509)( 14,115,495,469, 99,121,616,519)
( 15,490,470,474, 96,621,516,514)( 16,614, 20,489, 95,499, 91,624)
( 17,364, 70,484, 93,249, 41,604)( 18,239, 45,479, 92,374, 66,609)
( 19,114,120,494, 94,124,116,619)( 21,611,520,389, 90,500,466,599)
( 22,361,570,384, 88,250,416,579)( 23,236,545,379, 87,375,441,584)
( 24,111,620,394, 89,125,491,594)( 25,486,595,399, 86,625,391,589)
( 26,602,267,314, 60,483,218,174)( 27,352,317,309, 58,233,168,154)
( 28,227,292,304, 57,358,193,159)( 29,102,367,319, 59,108,243,169)
( 30,477,342,324, 56,608,143,164)( 31,603,142,289, 55,482,343,199)
( 32,353,192,284, 53,232,293,179)( 33,228,167,279, 52,357,318,184)
( 34,103,242,294, 54,107,368,194)( 35,478,217,299, 51,607,268,189)
( 36,605,392,339, 75,481,593,149)( 37,355,442,334, 73,231,543,129)
( 38,230,417,329, 72,356,568,134)( 39,105,492,344, 74,106,618,144)
( 40,480,467,349, 71,606,518,139)( 42,354, 67,359, 68,234, 43,229)
( 44,104,117,369, 69,109,118,244)( 46,601,517,264, 65,485,468,224)
( 47,351,567,259, 63,235,418,204)( 48,226,542,254, 62,360,443,209)
( 49,101,617,269, 64,110,493,219)( 50,476,592,274, 61,610,393,214)
(126,537,255,437,335,448,206,548)(127,287,305,432,333,198,156,528)
(128,162,280,427,332,323,181,533)(130,412,330,447,331,573,131,538)
(132,288,180,407,328,197,281,553)(133,163,155,402,327,322,306,558)
(135,413,205,422,326,572,256,563)(136,540,380,462,350,446,581,523)
(137,290,430,457,348,196,531,503)(138,165,405,452,347,321,556,508)
(140,415,455,472,346,571,506,513)(146,536,505,387,340,450,456,598)
(147,286,555,382,338,200,406,578)(148,161,530,377,337,325,431,583)
(150,411,580,397,336,575,381,588)(151,527,252,312,310,433,208,173)
(152,277,302,307,308,183,158,153)(157,278,177,282,303,182,283,178)
(160,403,202,297,301,557,258,188)(171,526,502,262,315,435,458,223)
(172,276,552,257,313,185,408,203)(175,401,577,272,311,560,383,213)
(176,532,253,187,285,428,207,298)(186,535,378,212,300,426,582,273)
(190,410,453,222,296,551,507,263)(201,547,251,562,260,438,210,423)
(211,550,376,587,275,436,585,398)(215,425,451,597,271,561,510,388)
(221,546,501,512,265,440,460,473)(225,421,576,522,261,565,385,463)
(386,590,400,461,600,396,586,525)(390,465,475,471,596,521,511,515) ]
],
[ 15, 155520000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 96, 1 ] ], 1,
"Alt(5) wreath Alt(4)", [ "A", 5, 4 ],
[ ( 1,622,385,224,438,326,537,270, 49,493, 81,237,310,154,568)
( 2,625,384,223,436,327,540,269, 48,491, 82,240,309,153,566)
( 3,621,382,225,439,328,536,267, 50,494, 83,236,307,155,569)
( 4,623,381,222,440,329,538,266, 47,495, 84,238,306,152,570)
( 5,624,383,221,437,330,539,268, 46,492, 85,239,308,151,567)
( 6,247,435,204,563,251,547,395, 99,488,331,162,320, 29,618)
( 7,250,434,203,561,252,550,394, 98,486,332,165,319, 28,616)
( 8,246,432,205,564,253,546,392,100,489,333,161,317, 30,619)
( 9,248,431,202,565,254,548,391, 97,490,334,163,316, 27,620)
( 10,249,433,201,562,255,549,393, 96,487,335,164,318, 26,617)
( 11,372,410,219, 63,351,532,145, 74,478,581,137,325,404,593)
( 12,375,409,218, 61,352,535,144, 73,476,582,140,324,403,591)
( 13,371,407,220, 64,353,531,142, 75,479,583,136,322,405,594)
( 14,373,406,217, 65,354,533,141, 72,480,584,138,321,402,595)
( 15,374,408,216, 62,355,534,143, 71,477,585,139,323,401,592)
( 16,122,485,209,188,301,527,520, 24,498,456,212,315,279,543)
( 17,125,484,208,186,302,530,519, 23,496,457,215,314,278,541)
( 18,121,482,210,189,303,526,517, 25,499,458,211,312,280,544)
( 19,123,481,207,190,304,528,516, 22,500,459,213,311,277,545)
( 20,124,483,206,187,305,529,518, 21,497,460,214,313,276,542)
( 31,242, 60,229,558,126,572,380,599,388,346,412,345, 39,368)
( 32,245, 59,228,556,127,575,379,598,386,347,415,344, 38,366)
( 33,241, 57,230,559,128,571,377,600,389,348,411,342, 40,369)
( 34,243, 56,227,560,129,573,376,597,390,349,413,341, 37,370)
( 35,244, 58,226,557,130,574,378,596,387,350,414,343, 36,367)
( 41,117,110,234,183,176,552,505,524,398,471,462,340,289,293)
( 42,120,109,233,181,177,555,504,523,396,472,465,339,288,291)
( 43,116,107,235,184,178,551,502,525,399,473,461,337,290,294)
( 44,118,106,232,185,179,553,501,522,400,474,463,336,287,295)
( 45,119,108,231,182,180,554,503,521,397,475,464,338,286,292)
( 51,602,510,149,448,451,587,265,299,418, 91,112,360,159,193)
( 52,605,509,148,446,452,590,264,298,416, 92,115,359,158,191)
( 53,601,507,150,449,453,586,262,300,419, 93,111,357,160,194)
( 54,603,506,147,450,454,588,261,297,420, 94,113,356,157,195)
( 55,604,508,146,447,455,589,263,296,417, 95,114,358,156,192)
( 66,102,610,134,198,426,577,515,274,423,466, 87,365,284,168)
( 67,105,609,133,196,427,580,514,273,421,467, 90,364,283,166)
( 68,101,607,135,199,428,576,512,275,424,468, 86,362,285,169)
( 69,103,606,132,200,429,578,511,272,425,469, 88,361,282,170)
( 70,104,608,131,197,430,579,513,271,422,470, 89,363,281,167)
( 76,612,260,174,443)( 77,615,259,173,441)( 78,611,257,175,444)
( 79,613,256,172,445)( 80,614,258,171,442),
( 1,441,177,168,603,120)( 2,416,552,170,503,495)( 3,491, 52,166,553,
245)( 4,466,302,169,578,370)( 5,391,427,167,528,620)
( 6,431,182,158,608,110)( 7,406,557,160,508,485)( 8,481, 57,156,
558,235)( 9,456,307,159,583,360)( 10,381,432,157,533,610)
( 11,446,187,173,613,125)( 12,421,562,175,513,500)( 13,496, 62,171,
563,250)( 14,471,312,174,588,375)( 15,396,437,172,538,625)
( 16,426,192,153,618,105)( 17,401,567,155,518,480)( 18,476, 67,151,
568,230)( 19,451,317,154,593,355)( 20,376,442,152,543,605)
( 21,436,197,163,623,115)( 22,411,572,165,523,490)( 23,486, 72,161,
573,240)( 24,461,322,164,598,365)( 25,386,447,162,548,615)
( 26,566,180,143,478,117)( 27,541,555,145,378,492)( 28,616, 55,141,
428,242)( 29,591,305,144,453,367)( 30,516,430,142,403,617)
( 31,556,185,133,483,107)( 32,531,560,135,383,482)( 33,606, 60,131,
433,232)( 34,581,310,134,458,357)( 35,506,435,132,408,607)
( 36,571,190,148,488,122)( 37,546,565,150,388,497)( 38,621, 65,146,
438,247)( 39,596,315,149,463,372)( 40,521,440,147,413,622)
( 41,551,195,128,493,102)( 42,526,570,130,393,477)( 43,601, 70,126,
443,227)( 44,576,320,129,468,352)( 45,501,445,127,418,602)
( 46,561,200,138,498,112)( 47,536,575,140,398,487)( 48,611, 75,136,
448,237)( 49,586,325,139,473,362)( 50,511,450,137,423,612)
( 51,191,178,243,103,116)( 53,241)( 54,216,303,244, 78,366)
( 56,181,183,233,108,106)( 58,231)( 59,206,308,234, 83,356)
( 61,196,188,248,113,121)( 63,246)( 64,221,313,249, 88,371)
( 66,176,193,228,118,101)( 68,226)( 69,201,318,229, 93,351)
( 71,186,198,238,123,111)( 73,236)( 74,211,323,239, 98,361)
( 76,316,179,218,353,119)( 77,291,554,220,253,494)( 79,341,304,219,
328,369)( 80,266,429,217,278,619)( 81,306,184,208,358,109)
( 82,281,559,210,258,484)( 84,331,309,209,333,359)( 85,256,434,207,
283,609)( 86,321,189,223,363,124)( 87,296,564,225,263,499)
( 89,346,314,224,338,374)( 90,271,439,222,288,624)( 91,301,194,203,
368,104)( 92,276,569,205,268,479)( 94,326,319,204,343,354)
( 95,251,444,202,293,604)( 96,311,199,213,373,114)( 97,286,574,215,
273,489)( 99,336,324,214,348,364)(100,261,449,212,298,614)
(252,419,577,295,504,470)(254,469,327,294,579,345)(255,394,452,292,
529,595)(257,409,582,285,509,460)(259,459,332,284,584,335)
(260,384,457,282,534,585)(262,424,587,300,514,475)(264,474,337,299,
589,350)(265,399,462,297,539,600)(267,404,592,280,519,455)
(269,454,342,279,594,330)(270,379,467,277,544,580)(272,414,597,290,
524,465)(274,464,347,289,599,340)(275,389,472,287,549,590)(329,344)
(339,349)(377,417,527,545,505,395)(380,392,402,542,530,520)
(382,407,532,535,510,385)(387,422,537,550,515,400)(390,397,412,547,
540,525)(405,517)(410,507)(415,522)(420,502)(425,512) ] ],
[ 16, 207360000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5)^4.SA_16", [ "A", 5, 4 ],
[ ( 1, 85,157,179, 3,110,156,204, 2, 60,158,229)( 4, 10,160,154)
( 5, 35,159,129)( 6,210,152, 54, 8,235,151, 79, 7,185,153,104)
( 9,135,155, 29)( 11,460,167,554, 23,360,161,454, 17,560,173,354)
( 12,435,168,604, 21,335,162,429, 18,610,171,329)( 13,485,166,579, 22,
310,163,479, 16,585,172,304)( 14,385,170,529, 24,260,165,404, 19,510,
175,279)( 15,410,169,504, 25,285,164,379, 20,535,174,254)
( 26, 84,132,180, 28,109,131,205, 27, 59,133,230)( 30, 34,134,130)
( 31,209,127, 55, 33,234,126, 80, 32,184,128,105)( 36,459,142,555, 48,
359,136,455, 42,559,148,355)( 37,434,143,605, 46,334,137,430, 43,609,
146,330)( 38,484,141,580, 47,309,138,480, 41,584,147,305)
( 39,384,145,530, 49,259,140,405, 44,509,150,280)( 40,409,144,505, 50,
284,139,380, 45,534,149,255)( 51, 83,232,176, 78,107,181,203,102, 56,
208,227)( 52, 58,233,226, 76, 82,182,178,103,106,206,202)
( 53,108,231,201, 77, 57,183,228,101, 81,207,177)( 61,458,242,551, 98,
357,186,453,117,556,223,352)( 62,433,243,601, 96,332,187,428,118,606,
221,327)( 63,483,241,576, 97,307,188,478,116,581,222,302)
( 64,383,245,526, 99,257,190,403,119,506,225,277)( 65,408,244,501,100,
282,189,378,120,531,224,252)( 66,583,247,301, 88,482,191,578,122,306,
213,477)( 67,558,248,351, 86,457,192,553,123,356,211,452)
( 68,608,246,326, 87,432,193,603,121,331,212,427)( 69,508,250,276, 89,
382,195,528,124,256,215,402)( 70,533,249,251, 90,407,194,503,125,281,
214,377)( 71,333,237,426, 93,607,196,328,112,431,218,602)
( 72,308,238,476, 91,582,197,303,113,481,216,577)( 73,358,236,451, 92,
557,198,353,111,456,217,552)( 74,258,240,401, 94,507,200,278,114,381,
220,527)( 75,283,239,376, 95,532,199,253,115,406,219,502)
(261,465,417,569,523,375,286,464,392,570,548,374)(262,440,418,619,521,
350,287,439,393,620,546,349)(263,490,416,594,522,325,288,489,391,595,
547,324)(264,390,420,544,524,275,290,414,394,520,550,299)
(265,415,419,519,525,300,289,389,395,545,549,274)(266,590,422,319,513,
500,291,589,397,320,538,499)(267,565,423,369,511,475,292,564,398,370,
536,474)(268,615,421,344,512,450,293,614,396,345,537,449)
(269,515,425,294,514,400,295,539,399,270,540,424)(271,340,412,444,518,
625,296,339,387,445,543,624)(272,315,413,494,516,600,297,314,388,495,
541,599)(273,365,411,469,517,575,298,364,386,470,542,574)
(311,463,492,566,598,372)(312,438,493,616,596,347)(313,488,491,591,
597,322)(316,588,497)(317,563,498,366,586,472)(318,613,496,341,587,
447)(321,338,487,441,593,622)(323,363,486,466,592,572)
(336,462,442,568,623,371)(337,437,443,618,621,346)(342,562,448,368,
611,471)(343,612,446)(348,362,436,468,617,571)(361,461,467,567,573,
373)(367,561,473), ( 1,458,300,117,586,449,152,518,306,480, 38,344,
246,387,534,195)( 2,583,325,102,588,324,227,513,309,230, 13,334,250,
12,584,200)( 3,333,375,112,589,199,127,508,310,105, 88,349,247,512,
559,180)( 4,208,275,107,590, 74,202,523,307,605, 63,329,248,262,609,
190)( 5, 83,350,122,587,574,177,503,308,355,113,339,249,137,509,185)
( 6,460, 50, 92,596,447,527,568,301,478,288,369,236,389,159,145)
( 7,585, 75, 77,598,322,602,563,304,228,263,359,240, 14,209,150)
( 8,335,125, 87,599,197,502,558,305,103,338,374,237,514,184,130)
( 9,210, 25, 82,600, 72,577,573,302,603,313,354,238,264,234,140)
( 10, 85,100, 97,597,572,552,553,303,353,363,364,239,139,134,135)
( 11,459,175, 17,581,450, 27,593,321,477,538,319,226,388,284,245)
( 15, 84,225, 22,582,575, 52,578,323,352,613,314,229,138,259,235)
( 16,456,425, 42,591,446,402,543,316,476,413,294,241,386,409,170)
( 18,331,500, 37,594,196,377,533,320,101,463,299,242,511,434,155)
( 19,206,400, 32,595, 71,452,548,317,601,438,279,243,261,484,165)
( 20, 81,475, 47,592,571,427,528,318,351,488,289,244,136,384,160)
( 21,457,550, 67,576,448,277,618,311,479,163,269,231,390, 34,220)
( 23,332,625, 62,579,198,252,608,315,104,213,274,232,515, 59,205)
( 24,207,525, 57,580, 73,327,623,312,604,188,254,233,265,109,215)
( 26,468,296,492,536,444,151,393,281,495, 36,469,171,392,531,445)
( 28,343,371,487,539,194,126,383,285,120, 86,474,172,517,556,430)
( 29,218,271,482,540, 69,201,398,282,620, 61,454,173,267,606,440)
( 30, 93,346,497,537,569,176,378,283,370,111,464,174,142,506,435)
( 31,470, 46,467,546,442,526,443,276,493,286,494,161,394,156,395)
( 33,345,121,462,549,192,501,433,280,118,336,499,162,519,181,380)
( 35, 95, 96,472,547,567,551,428,278,368,361,489,164,144,131,385)
( 39,219,146,382,535, 70, 76,473,297,617,561,429,153,268,356,490)
( 40, 94,221,397,532,570, 51,453,298,367,611,439,154,143,256,485)
( 41,466,421,417,541,441,401,418,291,491,411,419,166,391,406,420)
( 43,341,496,412,544,191,376,408,295,116,461,424,167,516,431,405)
( 44,216,396,407,545, 66,451,423,292,616,436,404,168,266,481,415)
( 45, 91,471,422,542,566,426,403,293,366,486,414,169,141,381,410)
( 48,342,621,437,529,193,251,483,290,119,211,399,157,520, 56,455)
( 49,217,521,432,530, 68,326,498,287,619,186,379,158,270,106,465)
( 53,328,373,362,614,189,129,133,260,110, 90, 99,222,522,557,555)
( 54,203,273,357,615, 64,204,148,257,610, 65, 79,223,272,607,565)
( 55, 78,348,372,612,564,179,128,258,360,115, 89,224,147,507,560)
( 58,330,123,337,624,187,504,183,255,108,340,124,212,524,182,505)
( 60, 80, 98,347,622,562,554,178,253,358,365,114,214,149,132,510) ] ],
[ 17, 207360000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 32, 3 ] ], 1,
"Alt(5)^4.(2 x D_8)", [ "A", 5, 4 ],
[ ( 1,245,522,214,258,176, 20,247,514,208,251,195, 22,239,508,201,270,197,
14,233,501,220,272,189, 8,226,520,222,264,183)( 2,240,523,204,260,
196, 19,232,511,218,252,190, 23,229,510,221,269,182, 11,243,502,215,
273,179, 10,246,519,207,261,193)( 3,230,525,224,259,181, 16,242,512,
213,253,180, 25,249,509,206,266,192, 12,238,503,205,275,199, 9,231,
516,217,262,188)( 4,235,521,219,257,186, 18,227,515,223,254,185, 21,
244,507,211,268,177, 15,248,504,210,271,194, 7,236,518,202,265,198)
( 5,250,524,209,256,191, 17,237,513,203,255,200, 24,234,506,216,267,
187, 13,228,505,225,274,184, 6,241,517,212,263,178)( 26,495,547,464,
283,426, 45,497,539,458,276,445, 47,489,533,451,295,447, 39,483,526,
470,297,439, 33,476,545,472,289,433)( 27,490,548,454,285,446, 44,482,
536,468,277,440, 48,479,535,471,294,432, 36,493,527,465,298,429, 35,
496,544,457,286,443)( 28,480,550,474,284,431, 41,492,537,463,278,430,
50,499,534,456,291,442, 37,488,528,455,300,449, 34,481,541,467,287,
438)( 29,485,546,469,282,436, 43,477,540,473,279,435, 46,494,532,461,
293,427, 40,498,529,460,296,444, 32,486,543,452,290,448)
( 30,500,549,459,281,441, 42,487,538,453,280,450, 49,484,531,466,292,
437, 38,478,530,475,299,434, 31,491,542,462,288,428)( 51,120,622,589,
333,301, 70,122,614,583,326,320, 72,114,608,576,345,322, 64,108,601,
595,347,314, 58,101,620,597,339,308)( 52,115,623,579,335,321, 69,107,
611,593,327,315, 73,104,610,596,344,307, 61,118,602,590,348,304, 60,
121,619,582,336,318)( 53,105,625,599,334,306, 66,117,612,588,328,305,
75,124,609,581,341,317, 62,113,603,580,350,324, 59,106,616,592,337,
313)( 54,110,621,594,332,311, 68,102,615,598,329,310, 71,119,607,586,
343,302, 65,123,604,585,346,319, 57,111,618,577,340,323)
( 55,125,624,584,331,316, 67,112,613,578,330,325, 74,109,606,591,342,
312, 63,103,605,600,349,309, 56,116,617,587,338,303)( 76,370,572, 89,
358,551, 95,372,564, 83,351,570, 97,364,558)( 77,365,573, 79,360,571,
94,357,561, 93,352,565, 98,354,560, 96,369,557, 86,368,552, 90,373,
554, 85,371,569, 82,361,568)( 78,355,575, 99,359,556, 91,367,562, 88,
353,555,100,374,559, 81,366,567, 87,363,553, 80,375,574, 84,356,566,
92,362,563)(126,145,147,139,133)(127,140,148,129,135,146,144,132,
136,143)(128,130,150,149,134,131,141,142,137,138)(151,395,172,389,
158,376,170,397,164,383)(152,390,173,379,160,396,169,382,161,393)
(153,380,175,399,159,381,166,392,162,388)(154,385,171,394,157,386,168,
377,165,398)(155,400,174,384,156,391,167,387,163,378)
(401,420,422,414,408)(402,415,423,404,410,421,419,407,411,418)
(403,405,425,424,409,406,416,417,412,413),
( 1,257,348, 86, 9,253,337, 99)( 2,272,346, 81, 8,263,339, 79)
( 3,262,349, 76, 7,273,336, 84)( 4,252,347, 96, 6,258,338, 89)
( 5,267,350, 91, 10,268,340, 94)( 11,259,328, 87, 24,251,332, 98)
( 12,274,326, 82, 23,261,334, 78)( 13,264,329, 77, 22,271,331, 83)
( 14,254,327, 97, 21,256,333, 88)( 15,269,330, 92, 25,266,335, 93)
( 16,260,343, 90, 19,255,342,100)( 17,275,341, 85, 18,265,344, 80)
( 20,270,345, 95)( 26,132,323,586,109,378,287,224, 51,507,373,461, 34,
128,312,599,101,382,298,211, 59,503,362,474)( 27,147,321,581,108,388,
289,204, 52,522,371,456, 33,138,314,579,102,397,296,206, 58,513,364,
454)( 28,137,324,576,107,398,286,209, 53,512,374,451, 32,148,311,584,
103,387,299,201, 57,523,361,459)( 29,127,322,596,106,383,288,214, 54,
502,372,471, 31,133,313,589,104,377,297,221, 56,508,363,464)
( 30,142,325,591,110,393,290,219, 55,517,375,466, 35,143,315,594,105,
392,300,216, 60,518,365,469)( 36,134,303,587,124,376,282,223, 61,509,
353,462, 49,126,307,598,111,384,278,212, 74,501,357,473)
( 37,149,301,582,123,386,284,203, 62,524,351,457, 48,136,309,578,112,
399,276,207, 73,511,359,453)( 38,139,304,577,122,396,281,208, 63,514,
354,452, 47,146,306,583,113,389,279,202, 72,521,356,458)
( 39,129,302,597,121,381,283,213, 64,504,352,472, 46,131,308,588,114,
379,277,222, 71,506,358,463)( 40,144,305,592,125,391,285,218, 65,519,
355,467, 50,141,310,593,115,394,280,217, 75,516,360,468)
( 41,135,318,590,119,380,292,225, 66,510,368,465, 44,130,317,600,116,
385,293,215, 69,505,367,475)( 42,150,316,585,118,390,294,205, 67,525,
366,460, 43,140,319,580,117,400,291,210, 68,515,369,455)
( 45,145,320,595,120,395,295,220, 70,520,370,470)(151,182,573,611,484,
403,162,199,551,607,498,411,159,178,562,624,476,407,173,186,559,603,
487,424)(152,197,571,606,483,413,164,179,552,622,496,406,158,188,564,
604,477,422,171,181,558,613,489,404)(153,187,574,601,482,423,161,184,
553,612,499,401,157,198,561,609,478,412,174,176,557,623,486,409)
(154,177,572,621,481,408,163,189,554,602,497,421,156,183,563,614,479,
402,172,196,556,608,488,414)(155,192,575,616,485,418,165,194,555,617,
500,416,160,193,565,619,480,417,175,191,560,618,490,419)
(166,185,568,615,494,405,167,200,566,610,493,415,169,180,567,625,491,
410,168,190,569,605,492,425)(170,195,570,620,495,420)
(226,432,548,236,434,528,237,449,526,232,448,536,234,428,537,249,426,
532,248,436,534,228,437,549)(227,447,546,231,433,538,239,429,527,247,
446,531,233,438,539,229,427,547,246,431,533,238,439,529)
(230,442,550,241,435,543,240,444,530,242,450,541,235,443,540,244,430,
542,250,441,535,243,440,544)(245,445,545),
( 1,487,130,407,504,472)( 2,387,127,382,502,397)( 3,437,128,432,503,
447)( 4,462,126,482,505,422)( 5,412,129,457,501,497)
( 6,612,150, 32,514,222)( 7,512,147)( 8,562,148, 57,513,197)
( 9,587,146,107,515,172)( 10,537,149, 82,511,247)( 11,237,135,532,
524, 97)( 12,137,132,507,522, 22)( 13,187,133,557,523, 72)
( 14,212,131,607,525, 47)( 15,162,134,582,521,122)( 16,362,145,282,
519,347)( 17,262,142,257,517,272)( 18,312,143,307,518,322)
( 19,337,141,357,520,297)( 20,287,144,332,516,372)( 21,112,140,157,
509,597)( 23, 62,138,182,508,572)( 24, 87,136,232,510,547)
( 25, 37,139,207,506,622)( 26,489,205,406,604,475)( 27,389,202,381,
602,400)( 28,439,203,431,603,450)( 29,464,201,481,605,425)
( 30,414,204,456,601,500)( 31,614,225)( 33,564,223, 56,613,200)
( 34,589,221,106,615,175)( 35,539,224, 81,611,250)( 36,239,210,531,
624,100)( 38,189,208,556,623, 75)( 39,214,206,606,625, 50)
( 40,164,209,581,621,125)( 41,364,220,281,619,350)( 42,264,217,256,
617,275)( 43,314,218,306,618,325)( 44,339,216,356,620,300)
( 45,289,219,331,616,375)( 46,114,215,156,609,600)( 48, 64,213,181,
608,575)( 49, 89,211,231,610,550)( 51,488,180,408,554,473)
( 52,388,177,383,552,398)( 53,438,178,433,553,448)( 54,463,176,483,
555,423)( 55,413,179,458,551,498)( 58,563,198)( 59,588,196,108,565,
173)( 60,538,199, 83,561,248)( 61,238,185,533,574, 98)
( 63,188,183,558,573, 73)( 65,163,184,583,571,123)( 66,363,195,283,
569,348)( 67,263,192,258,567,273)( 68,313,193,308,568,323)
( 69,338,191,358,570,298)( 70,288,194,333,566,373)( 71,113,190,158,
559,598)( 74, 88,186,233,560,548)( 76,486,230,410,529,474)
( 77,386,227,385,527,399)( 78,436,228,435,528,449)( 79,461,226,485,
530,424)( 80,411,229,460,526,499)( 84,586,246,110,540,174)
( 85,536,249)( 86,236,235,535,549, 99)( 90,161,234,585,546,124)
( 91,361,245,285,544,349)( 92,261,242,260,542,274)( 93,311,243,310,
543,324)( 94,336,241,360,545,299)( 95,286,244,335,541,374)
( 96,111,240,160,534,599)(101,490,155,409,579,471)(102,390,152,384,
577,396)(103,440,153,434,578,446)(104,465,151,484,580,421)
(105,415,154,459,576,496)(109,590,171)(115,165,159,584,596,121)
(116,365,170,284,594,346)(117,265,167,259,592,271)(118,315,168,309,
593,321)(119,340,166,359,595,296)(120,290,169,334,591,371)
(251,492,255,417,254,467)(252,392)(253,442)(266,367,270,292,269,342)
(268,317)(276,494,330,416,354,470)(277,394,327,391,352,395)
(278,444,328,441,353,445)(279,469,326,491,355,420)(280,419,329,466,
351,495)(291,369,345)(293,319,343,316,368,320)(294,344,341,366,370,
295)(301,493,305,418,304,468)(302,393)(303,443)(376,477,380,402,379,
452)(378,427)(401,479,455)(403,429,453,426,478,430)(404,454,451,476,
480,405) ] ],
[ 18, 207360000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 32, 3 ] ], 1,
"Alt(5)^4.Q_8:2", [ "A", 5, 4 ],
[ ( 1,598,195,281,454,515, 43,324,126,583,445,286, 79,525,168,309,376,588,
70,296,204,510,418,314)( 2,623,192,356,452,615, 42,374,127,608,442,
361, 77,625,167,359,377,613, 67,371,202,610,417,364)( 3,573,191,331,
455,540, 44,274,128,558,441,336, 80,550,169,259,378,563, 66,346,205,
535,419,264)( 4,523,193,306,451,590, 45,299,129,508,443,311, 76,600,
170,284,379,513, 68,321,201,585,420,289)( 5,548,194,256,453,565, 41,
349,130,533,444,261, 78,575,166,334,380,538, 69,271,203,560,416,339)
( 6,473,190, 31,474,140, 33,449,136, 83,450,161, 84,400,163, 59,396,
213, 60,421,214, 10,423,189)( 7,498,187,106,472,240, 32,499,137,108,
447,236, 82,500,162,109,397,238, 57,496,212,110,422,239)
( 8,448,186, 81,475,165, 34,399,138, 58,446,211, 85,425,164, 9,398,
188, 56,471,215, 35,424,139)( 11, 98,200,156,459,390, 38, 74,146,208,
435,411, 89, 25,173,184,381,463, 65, 46,224,135,408,439)
( 12,123,197,231,457,490, 37,124,147,233,432,486, 87,125,172,234,382,
488, 62,121,222,235,407,489)( 13, 73,196,206,460,415, 39, 24,148,183,
431,461, 90, 50,174,134,383,438, 61, 96,225,160,409,389)
( 14, 23,198,181,456,465, 40, 49,149,133,433,436, 86,100,175,159,384,
388, 63, 71,221,210,410,414)( 15, 48,199,131,458,440, 36, 99,150,158,
434,386, 88, 75,171,209,385,413, 64, 21,223,185,406,464)
( 16,348,180,531,469,265, 28,574,141,333,430,536, 94,275,153,559,391,
338, 55,546,219,260,403,564)( 17,373,177,606,467,365, 27,624,142,358,
427,611, 92,375,152,609,392,363, 52,621,217,360,402,614)
( 18,323,176,581,470,290, 29,524,143,308,426,586, 95,300,154,509,393,
313, 51,596,220,285,404,514)( 19,273,178,556,466,340, 30,549,144,258,
428,561, 91,350,155,534,394,263, 53,571,216,335,405,539)
( 20,298,179,506,468,315, 26,599,145,283,429,511, 93,325,151,584,395,
288, 54,521,218,310,401,589)( 22,248,182,481,462,115, 47,249,132,483,
437,111, 97,250,157,484,387,113, 72,246,207,485,412,114)
(101,597,245,282,479,512,118,322,226,582,495,287,104,522,243,307,476,
587,120,297,229,507,493,312)(102,622,242,357,477,612,117,372,227,607,
492,362)(103,572,241,332,480,537,119,272,228,557,491,337,105,547,244,
257,478,562,116,347,230,532,494,262)(107,497,237)(112,122,247,232,
482,487)(251,578,570,291,329,505,543,319)(252,603,567,366,327,605,
542,369)(253,553,566,341,330,530,544,269)(254,503,568,316,326,580,
545,294)(255,528,569,266,328,555,541,344)(267,353,552,616,342,355,
527,619)(268,303,551,591,345,280,529,519)(270,278,554,516,343,305,
526,594)(276,579,520,293,304,501,593,320)(277,604,517,368,302,601,
592,370)(279,504,518,318,301,576,595,295)(292,354,502,618,317,351,
577,620)(352,602,617,367),
( 1,296,125,415, 14,279,101,421, 25,290,114,404)( 2,291,123,410, 12,
294,103,406, 22,295,113,409)( 3,281,122,420, 13,284,102,416, 23,285,
112,419)( 4,276,121,425, 15,289,104,401, 21,300,115,414)
( 5,286,124,405, 11,299,105,411, 24,280,111,424)( 6,297,120,413, 9,
277,116,423, 10,287,119,403)( 7,292,118,408)( 8,282,117,418)
( 16,298,110,412, 19,278,106,422, 20,288,109,402)( 17,293,108,407)
( 18,283,107,417)( 26, 46, 50, 40, 39, 29)( 27, 41, 48, 35, 37, 44,
28, 31, 47, 45, 38, 34)( 30, 36, 49)( 32, 42, 43, 33)
( 51,171, 75,165, 64,154)( 52,166, 73,160, 62,169, 53,156, 72,170, 63,
159)( 54,151, 71,175, 65,164)( 55,161, 74,155, 61,174)
( 56,172, 70,163, 59,152, 66,173, 60,162, 69,153)( 57,167, 68,158)
( 58,157, 67,168)( 76,546,100,540, 89,529)( 77,541, 98,535, 87,544,
78,531, 97,545, 88,534)( 79,526, 96,550, 90,539)( 80,536, 99,530,
86,549)( 81,547, 95,538, 84,527, 91,548, 85,537, 94,528)
( 82,542, 93,533)( 83,532, 92,543)(126,321,250,440,139,304,226,446,
150,315,239,429)(127,316,248,435,137,319,228,431,147,320,238,434)
(128,306,247,445,138,309,227,441,148,310,237,444)(129,301,246,450,140,
314,229,426,146,325,240,439)(130,311,249,430,136,324,230,436,149,305,
236,449)(131,322,245,438,134,302,241,448,135,312,244,428)
(132,317,243,433)(133,307,242,443)(141,323,235,437,144,303,231,447,
145,313,234,427)(142,318,233,432)(143,308,232,442)(176,196,200,190,
189,179)(177,191,198,185,187,194,178,181,197,195,188,184)
(180,186,199)(182,192,193,183)(201,571,225,565,214,554)
(202,566,223,560,212,569,203,556,222,570,213,559)(204,551,221,575,215,
564)(205,561,224,555,211,574)(206,572,220,563,209,552,216,573,210,
562,219,553)(207,567,218,558)(208,557,217,568)(251,371,500,390,264,
354,476,396,275,365,489,379)(252,366,498,385,262,369,478,381,272,370,
488,384)(253,356,497,395,263,359,477,391,273,360,487,394)
(254,351,496,400,265,364,479,376,271,375,490,389)(255,361,499,380,261,
374,480,386,274,355,486,399)(256,372,495,388,259,352,491,398,260,362,
494,378)(257,367,493,383)(258,357,492,393)(266,373,485,387,269,353,
481,397,270,363,484,377)(267,368,483,382)(268,358,482,392)
(326,621,475,515,339,604,451,521,350,615,464,504)(327,616,473,510,337,
619,453,506,347,620,463,509)(328,606,472,520,338,609,452,516,348,610,
462,519)(329,601,471,525,340,614,454,501,346,625,465,514)
(330,611,474,505,336,624,455,511,349,605,461,524)(331,622,470,513,334,
602,466,523,335,612,469,503)(332,617,468,508)(333,607,467,518)
(341,623,460,512,344,603,456,522,345,613,459,502)(342,618,458,507)
(343,608,457,517)(576,596,600,590,589,579)(577,591,598,585,587,594,
578,581,597,595,588,584)(580,586,599)(582,592,593,583),
( 1,531,599,139,232, 92, 61,601,544,199,127, 32, 96,511,609,219,187,
102, 41,571,504,159,222, 12,106,591,564,229,167, 72)( 2, 31,596,514,
234,217, 62,101,541,574,129,157, 97, 11,606,594,189,227, 42, 71,501,
534,224,137,107, 91,561,604,169,197)( 3,406,598,389,233,467, 63,476,
543,449,128,407, 98,386,608,469,188,477, 43,446,503,409,223,387,108,
466,563,479,168,447)( 4,156,597, 14,231,592, 64,226,542, 74,126,532,
99,136,607, 94,186,602, 44,196,502, 34,221,512,109,216,562,104,166,
572)( 5,281,600,264,235,342, 65,351,545,324,130,282,100,261,610,344,
190,352, 45,321,505,284,225,262,110,341,565,354,170,322)
( 6,581,589,239,242, 67, 51,526,549,149,132, 82, 86,611,619,194,177,
27, 46,521,509,209,212,112,116,566,554,154,172, 22)( 7, 81,586,614,
244,192, 52, 26,546,524,134,207, 87,111,616,569,179,152, 47, 21,506,
584,214,237,117, 66,551,529,174,147)( 8,456,588,489,243,442, 53,401,
548,399,133,457, 88,486,618,444,178,402, 48,396,508,459,213,487,118,
441,553,404,173,397)( 9,206,587,114,241,567, 54,151,547, 24,131,582,
89,236,617, 69,176,527, 49,146,507, 84,211,612,119,191,552, 29,171,
522)( 10,331,590,364,245,317, 55,276,550,274,135,332, 90,361,620,319,
180,277, 50,271,510,334,215,362,120,316,555,279,175,272)
( 13,481,593,439,228,417, 73,376,533,474,138,482, 93,436,603,419,198,
377, 33,471,513,484,218,437,103,416,573,379,158,472)( 15,356,595,314,
230,292, 75,251,535,349,140,357, 95,311,605,294,200,252, 35,346,515,
359,220,312,105,291,575,254,160,347)( 16,556,579,164,247, 17, 56,576,
539,249,142, 57, 76,536,624,144,182, 77, 36,621,519,184,202, 37,121,
516,559,204,162,122)( 18,431,578,414,248,392, 58,451,538,499,143,432,
78,411,623,394,183,452, 38,496,518,434,203,412,123,391,558,454,163,
497)( 19,181,577, 39,246,517, 59,201,537,124,141,557, 79,161,622)
( 20,306,580,289,250,267, 60,326,540,374,145,307, 80,286,625,269,185,
327, 40,371,520,309,205,287,125,266,560,329,165,372)( 23,381,583,464,
238,492, 68,426,528,424,148,382, 83,461,613,494,193,427, 28,421,523,
384,208,462,113,491,568,429,153,422)( 25,256,585,339,240,367, 70,301,
530,299,150,257, 85,336,615,369,195,302, 30,296,525,259,210,337,115,
366,570,304,155,297)(253,410,348,390,358,470,313,480,293,450)
(255,285,350,265,360,345,315,355,295,325)(258,460,338,490,368,445,303,
405,298,400)(260,335,340,365,370,320,305,280,300,275)
(263,485,343,440,353,420,323,380,283,475)(268,435,328,415,373,395,308,
455,288,500)(270,310,330,290,375)(273,385,333,465,363,495,318,430,
278,425)(378,408,473,388,483,468,438,478,418,448)(383,458,463,488,
493,443,428,403,423,398)(393,433,453,413,498) ] ],
[ 19, 207360000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(4)^4.(2 x D_8)", [ "A", 5, 4 ],
[ ( 1,524,439,305,620,236,256, 19,199,435,105,621,386,254,569,190,360,116,
146,384, 54,575,490,351,516,139,309, 70,250,481)( 2,549,437,280,617,
161,257, 44,197,410,102,546,387,279,567,165,357, 41,147,409, 52,550,
487,276,517,164,307, 45,247,406)( 3,599,438,330,618,211,258, 94,198,
460,103,596,388,329,568,215,358, 91,148,459, 53,600,488,326,518,214,
308, 95,248,456)( 4,574,440,355,616,136,259, 69,200,485,101,521,389,
304,570,240,356, 16,149,434, 55,625,486,251,519,189,310,120,246,381)
( 5,624,436,255,619,186,260,119,196,385,104,571,390,354,566,140,359,
66,150,484, 51,525,489,301,520,239,306, 20,249,431)( 6, 24,449,430,
605,611,261,269,194,185,110,121,396,379,554,565,365,366,141,134, 59,
75,500,476,501,514,314,320,245,231)( 7, 49,447,405,602,536,262,294,
192,160,107, 46,397,404,552,540,362,291,142,159, 57, 50,497,401,502,
539,312,295,242,156)( 8, 99,448,455,603,586,263,344,193,210,108, 96,
398,454,553,590,363,341,143,209, 58,100,498,451,503,589,313,345,243,
206)( 9, 74,450,480,601,511,264,319,195,235,106, 21,399,429,555,615,
361,266,144,184, 60,125,496,376,504,564,315,370,241,131)
( 10,124,446,380,604,561,265,369,191,135,109, 71,400,479,551,515,364,
316,145,234, 56, 25,499,426,505,614,311,270,244,181)( 11,274,444,180,
610,111,271,394,179,560,115,371,391,129,559, 65,375,491,126,509, 64,
325,495,226,506, 14,324,445,230,606)( 12,299,442,155,607, 36,272,419,
177,535,112,296,392,154,557, 40,372,416,127,534, 62,300,492,151,507,
39,322,420,227,531)( 13,349,443,205,608, 86,273,469,178,585,113,346,
393,204,558, 90,373,466,128,584, 63,350,493,201,508, 89,323,470,228,
581)( 15,374,441,130,609, 61,275,494,176,510,114,321,395,229,556)
( 17,174,432, 30,622,411,252,544,187,285,117,171,382, 29,572,415,352,
541,137,284, 67,175,482, 26,522,414,302,545,237,281)( 18,224,433, 80,
623,461,253,594,188,335,118,221,383, 79,573,465,353,591,138,334, 68,
225,483, 76,523,464,303,595,238,331)( 22,424,427,530,612,286,267,169,
182, 35,122,421,377,529,562,290,367,166,132, 34, 72,425,477,526,512,
289,317,170,232, 31)( 23,474,428,580,613,336,268,219,183, 85,123,471,
378,579,563,340,368,216,133, 84, 73,475,478,576,513,339,318,220,233,
81)( 27,547,412,277,542,162,282, 42,172,407)( 28,597,413,327,543,
212,283, 92,173,457)( 32, 47,422,402,527,537,287,292,167,157)
( 33, 97,423,452,528,587,288,342,168,207)( 37,297,417,152,532)
( 38,347,418,202,533, 87,298,467,153,582)( 43,222,408, 77,548,462,278,
592,163,332)( 48,472,403,577,538,337,293,217,158, 82)
( 78,598,463,328,593,213,333, 93,223,458)( 83, 98,473,453,578,588,338,
343,218,208)( 88,348,468,203,583),
( 1,569,106,169,483,152,448, 77,324, 85,289,385,537,396,592,371,220,
363,130,563)( 2,574, 81,294,485,162,398,577,321, 95,364,135,538,376,
567,121,219,358,155,438)( 3,554, 56, 44,484,157,423,452,322,100,339,
260,540,386,517,621,216,368,230,188)( 4,559, 31,419,482,172,473,327,
325, 90,264,510,536,391,617,246,218,353,180, 63)( 5,564, 6,544,481,
167,498,202,323, 80,314, 10,539,381,542,496,217,373,205,313)
( 7,549,456,292,500,212,273,580,311, 20,614,131,543,476,192,123,204,
308, 30,439)( 8,529,431, 42,499,207,298,455,312, 25,589,256,545,486,
142,623,201,318,105,189)( 9,534,406,417,497,222,348,330,315, 15,514,
506,541,491,242,248,203,303, 55, 64)( 11,519,606,166,493,227,198, 78,
304, 60, 39,384,532,421,467,372,225,338,255,565)( 12,524,581,291,495,
237,148,578,301, 70,114,134,533,401,442,122,224,333,280,440)
( 13,504,556, 41,494,232,173,453,302, 75, 89,259,535,411,392,622,221,
343,355,190)( 14,509,531,416,492,247,223,328,305, 65)
( 16,619,231,168,478,177, 73, 79,309, 35,414,382,547,471,342,375,215,
263,505,561)( 17,624,206,293,480,187, 23,579,306, 45,489,132,548,451,
317,125,214,258,530,436)( 18,604,181, 43,479,182, 48,454,307, 50,464,
257,550,461,267,625,211,268,605,186)( 19,609,156,418,477,197, 98,329,
310, 40,389,507,546,466,367,250,213,253,555, 61)( 21,594,356,170,488,
127,573, 76,319,110,164,383,527,446, 92,374,210,288,380,562)
( 22,599,331,295,490,137,523,576,316,120,239,133,528,426, 67,124,209,
283,405,437)( 24,584,281,420,487,147,598,326,320,115,139,508,526,441,
117,249,208,278,430, 62)( 26,444,107,174,458,277,450, 87,274,585,286,
395,612,146,593,351,195,113,129,558)( 27,449, 82,299,460,287,400,587,
271,595,361,145,613,126,568,101,194,108,154,433)( 28,429, 57, 49,459,
282,425,462,272,600,336,270,615,136,518,601,191,118,229,183)
( 29,434, 32,424,457,297,475,337,275,590,261,520,611,141,618,226,193,
103,179, 58)( 33,404,432, 47,474,332,300,465,262,525,586,266,620,236,
143,603,176, 68,104,184)( 34,409,407,422,472,347,350,340,265,515,511,
516,616,241,243,228,178, 53, 54, 59)( 36,394,607,171,468,352,200, 88,
254,560)( 37,399,582,296,470,362,150,588,251,570,111,144,608,151,443,
102,199, 83,279,435)( 38,379,557, 46,469,357,175,463,252,575, 86,269,
610,161,393,602,196, 93,354,185)( 51, 69,109,159,408,402,447, 97,349,
335,290,390,512,521,591,366,245,238,128,553)( 52, 74, 84,284,410,412,
397,597,346,345,365,140,513,501,566,116,244,233,153,428)
( 66,119,234,158,403,427, 72, 99,334,285,415,387,522,596,341,370,240,
138,503,551)( 71, 94,359,160,413,377,572, 96,344,360,165,388,502,571,
91,369,235,163,378,552)(112,149,583,276,445),
( 1,417, 86,409,101,420, 11,407, 76,419,111,410)( 2,467, 89,484,105,
395, 12,457, 79,494,115,385)( 3,442, 88,434,103,445, 13,432, 78,444,
113,435)( 4,492, 90,384,102,470, 14,482, 80,394,112,460)
( 5,392, 87,459,104,495, 15,382, 77,469,114,485)( 6,402, 91,414,106,
405, 16,412, 81,404,116,415)( 7,452, 94,489,110,380, 17,462, 84,479,
120,390)( 8,427, 93,439,108,430, 18,437, 83,429,118,440)
( 9,477, 95,389,107,455, 19,487, 85,379,117,465)( 10,377, 92,464,109,
480, 20,387, 82,454,119,490)( 21,422, 96,424,121,425)
( 22,472, 99,499,125,400)( 23,447, 98,449,123,450)( 24,497,100,399,
122,475)( 25,397, 97,474,124,500)( 26,416, 36,406)( 27,466, 39,481,
30,391, 37,456, 29,491, 40,381)( 28,441, 38,431)( 31,401, 41,411)
( 32,451, 44,486, 35,376, 42,461, 34,476, 45,386)( 33,426, 43,436)
( 46,421)( 47,471, 49,496, 50,396)( 48,446)( 51,418, 61,408)
( 52,468, 64,483, 55,393, 62,458, 54,493, 65,383)( 53,443, 63,433)
( 56,403, 66,413)( 57,453, 69,488, 60,378, 67,463, 59,478, 70,388)
( 58,428, 68,438)( 71,423)( 72,473, 74,498, 75,398)( 73,448)
(126,542,336,159,601,295,136,532,326,169,611,285)(127,592,339,234,605,
270,137,582,329,244,615,260)(128,567,338,184,603,320,138,557,328,194,
613,310)(129,617,340,134,602,345,139,607,330,144,612,335)
(130,517,337,209,604,370,140,507,327,219,614,360)(131,527,341,164,606,
280,141,537,331,154,616,290)(132,577,344,239,610,255,142,587,334,229,
620,265)(133,552,343,189,608,305,143,562,333,179,618,315)
(135,502,342,214,609,355,145,512,332,204,619,365)(146,547,346,174,621,
300)(147,597,349,249,625,275)(148,572,348,199,623,325)(149,622,350)
(150,522,347,224,624,375)(151,541,286,156,526,291,161,531,276,166,536,
281)(152,591,289,231,530,266,162,581,279,241,540,256)
(153,566,288,181,528,316,163,556,278,191,538,306)(155,516,287,206,529,
366,165,506,277,216,539,356)(157,576,294,236,535,251,167,586,284,226,
545,261)(158,551,293,186,533,301,168,561,283,176,543,311)
(160,501,292,211,534,351,170,511,282,201,544,361)(171,546,296)
(172,596,299,246,550,271)(173,571,298,196,548,321)(175,521,297,221,
549,371)(177,593,314,233,555,268,187,583,304,243,565,258)
(178,568,313,183,553,318,188,558,303,193,563,308)(180,518,312,208,554,
368,190,508,302,218,564,358)(182,578,319,238,560,253,192,588,309,228,
570,263)(185,503,317,213,559,353,195,513,307,203,569,363)
(197,598,324,248,575,273)(198,573,323)(200,523,322,223,574,373)
(202,594,364,235,505,267,212,584,354,245,515,257)(205,519,362,210,504,
367,215,509,352,220,514,357)(207,579,369,240,510,252,217,589,359,230,
520,262)(222,599,374,250,525,272)(225,524,372)(227,595,264,232,580,
269,237,585,254,242,590,259)(247,600,274) ] ],
[ 20, 207360000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5)^4.2^2:4", [ "A", 5, 4 ],
[ ( 1,590,278, 64,501,340, 28,564,251, 90,528,314)( 2,615,277,114,502,365,
27,614,252,115,527,364)( 3,565,276, 89,503,315, 26,589,253, 65,526,
339)( 4,515,280, 39,504,265, 30,539,254, 15,530,289)
( 5,540,279, 14,505,290, 29,514,255, 40,529,264)( 6,585,283, 59,506,
335, 33,559,256, 85,533,309)( 7,610,282,109,507,360, 32,609,257,110,
532,359)( 8,560,281, 84,508,310, 31,584,258, 60,531,334)
( 9,510,285, 34,509,260, 35,534,259, 10,535,284)( 11,580,288, 54,511,
330, 38,554,261, 80,538,304)( 12,605,287,104,512,355, 37,604,262,105,
537,354)( 13,555,286, 79,513,305, 36,579,263, 55,536,329)
( 16,595,293, 69,516,345, 43,569,266, 95,543,319)( 17,620,292,119,517,
370, 42,619,267,120,542,369)( 18,570,291, 94,518,320, 41,594,268, 70,
541,344)( 19,520,295, 44,519,270, 45,544,269, 20,545,294)
( 21,600,298, 74,521,350, 48,574,271,100,548,324)( 22,625,297,124,522,
375, 47,624,272,125,547,374)( 23,575,296, 99,523,325, 46,599,273, 75,
546,349)( 24,525,300, 49,524,275, 50,549,274, 25,550,299)
( 51,586,328, 63,551,336, 78,563,301, 86,578,313)( 52,611,327,113,552,
361, 77,613,302,111,577,363)( 53,561,326, 88,553,311, 76,588,303, 61,
576,338)( 56,581,333, 58,556,331, 83,558,306, 81,583,308)
( 57,606,332,108,557,356, 82,608,307,106,582,358)( 62,601,337,103,562,
351, 87,603,312,101,587,353)( 66,591,343, 68,566,341, 93,568,316, 91,
593,318)( 67,616,342,118,567,366, 92,618,317,116,592,368)
( 71,596,348, 73,571,346, 98,573,321, 96,598,323)( 72,621,347,123,572,
371, 97,623,322,121,597,373)(102,612,352,112,602,362)(107,607,357)
(117,617,367)(122,622,372)(126,465,153,439)(127,490,152,489)
(128,440,151,464)(129,390,155,414)(130,415,154,389)(131,460,158,434)
(132,485,157,484)(133,435,156,459)(134,385,160,409)(135,410,159,384)
(136,455,163,429)(137,480,162,479)(138,430,161,454)(139,380,165,404)
(140,405,164,379)(141,470,168,444)(142,495,167,494)(143,445,166,469)
(144,395,170,419)(145,420,169,394)(146,475,173,449)(147,500,172,499)
(148,450,171,474)(149,400,175,424)(150,425,174,399)(176,461,203,438)
(177,486,202,488)(178,436,201,463)(179,386,205,413)(180,411,204,388)
(181,456,208,433)(182,481,207,483)(183,431,206,458)(184,381,210,408)
(185,406,209,383)(186,451,213,428)(187,476,212,478)(188,426,211,453)
(189,376,215,403)(190,401,214,378)(191,466,218,443)(192,491,217,493)
(193,441,216,468)(194,391,220,418)(195,416,219,393)(196,471,223,448)
(197,496,222,498)(198,446,221,473)(199,396,225,423)(200,421,224,398)
(226,462,228,437)(227,487)(229,387,230,412)(231,457,233,432)(232,482)
(234,382,235,407)(236,452,238,427)(237,477)(239,377,240,402)
(241,467,243,442)(242,492)(244,392,245,417)(246,472,248,447)(247,497)
(249,397,250,422), ( 1, 50,470,142, 9,115,570,268)( 2, 35,495,517,
8,105,545,393)( 3, 30,420,392, 7,110,620,518)( 4, 40,445,267,
6,125,595,143)( 5, 45,395, 17, 10,120,520, 18)( 11, 75,345,141,
24, 90,195,269)( 12, 60,370,516, 23, 80,170,394)( 13, 55,295,391,
22, 85,245,519)( 14, 65,320,266, 21,100,220,144)( 15, 70,270, 16,
25, 95,145, 19)( 26,425,467,132,109,615,568,253)( 27,410,492,507,
108,605,543,378)( 28,405,417,382,107,610,618,503)( 29,415,442,257,
106,625,593,128)( 31,500,592,133,104,540,443,252)( 32,485,617,508,
103,530,418,377)( 33,480,542,383,102,535,493,502)( 34,490,567,258,
101,550,468,127)( 36,450,342,131,124,590,193,254)( 37,435,367,506,
123,580,168,379)( 38,430,292,381,122,585,243,504)( 39,440,317,256,
121,600,218,129)( 41,400, 92,135,119,515, 68,255)( 42,385,117,510,
118,505, 43,380)( 44,390, 67,260,116,525, 93,130)( 46,475,217,134,
114,565,318,251)( 47,460,242,509,113,555,293,376)( 48,455,167,384,
112,560,368,501)( 49,465,192,259,111,575,343,126)( 51,300,466,147,
84,240,569,263)( 52,285,491,522, 83,230,544,388)( 53,280,416,397,
82,235,619,513)( 54,290,441,272, 81,250,594,138)( 56,375,591,148,
79,165,444,262)( 57,360,616,523, 78,155,419,387)( 58,355,541,398,
77,160,494,512)( 59,365,566,273, 76,175,469,137)( 61,325,341,146,
99,215,194,264)( 62,310,366,521, 98,205,169,389)( 63,305,291,396,
97,210,244,514)( 64,315,316,271, 96,225,219,139)( 66,275, 91,150,
94,140, 69,265)( 71,350,216,149, 89,190,319,261)( 72,335,241,524,
88,180,294,386)( 73,330,166,399, 87,185,369,511)( 74,340,191,274,
86,200,344,136)(151,424,462,182,359,611,573,328)(152,409,487,557,
358,601,548,453)(153,404,412,432,357,606,623,578)(154,414,437,307,
356,621,598,203)(156,499,587,183,354,536,448,327)(157,484,612,558,
353,526,423,452)(158,479,537,433,352,531,498,577)(159,489,562,308,
351,546,473,202)(161,449,337,181,374,586,198,329)(162,434,362,556,
373,576,173,454)(163,429,287,431,372,581,248,579)(164,439,312,306,
371,596,223,204)(171,474,212,184,364,561,323,326)(172,459,237,559,
363,551,298,451)(174,464,187,309,361,571,348,201)(176,299,461,197,
334,236,574,338)(177,284,486,572,333,226,549,463)(178,279,411,447,
332,231,624,588)(179,289,436,322,331,246,599,213)(186,324,336,196,
349,211,199,339)(188,304,286,446,347,206,249,589)(189,314,311,321,
346,221,224,214)(207,234,614,563,303,276,421,472)(208,229,539,438,
302,281,496,597)(209,239,564,313,301,296,471,222)(227,534,488,552,
283,476,547,458)(228,529,413,427,282,481,622,583)(232,609,613,553,
278,401,422,457)(233,604,538,428,277,406,497,582)(238,554,288,426,
297,456,247,584)(402,407,482,607,608,603,528,403)(408,477,532,483,
602,533,478,527) ] ],
[ 21, 207360000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5)^4.2^2:4", [ "A", 5, 4 ],
[ ( 1,613, 20,533,320,406,312,396,587,150,584,180,484, 52,498, 92,173,344,
151,364)( 2,623, 95,158,319,401,362, 21,588,145,534,305,481, 62,398,
592,175,334,176,489)( 3,618, 45,283,316,411,262,521,590,135,559,430,
482, 72,473,217,174,329,226,114)( 4,603,120, 33,318,416,287,271,586,
140,509,555,485, 57,448,467,172,349,201,239)( 5,608, 70,408,317,421,
337,146,589,130,609, 55,483, 67,423,342,171,339,126,614)
( 6,563,395,532,325,456,187,399,577,250, 84,178,494, 27,373, 91,163,
269,526,365)( 7,573,470,157,324,451,237, 24,578,245, 34,303,491, 37,
273,591,165,259,551,490)( 8,568,420,282,321,461,137,524,580,235, 59,
428,492, 47,348,216,164,254,601,115)( 9,553,495, 32,323,466,162,274,
576,240)( 10,558,445,407,322,471,212,149,579,230,109, 53,493, 42,298,
341,161,264,501,615)( 11,513,520,535,310,431,437,397,597,225,209,179,
479,102,123, 93,168,294,276,361)( 12,523,595,160,309,426,487, 22,598,
220,159,304,476,112, 23,593,170,284,301,486)( 13,518,545,285,306,436,
387,522,600,210,184,429,477,122, 98,218,169,279,351,111)
( 14,503,620, 35,308,441,412,272,596,215,134,554,480,107, 73,468,167,
299,326,236)( 15,508,570,410,307,446,462,147,599,205,234, 54,478,117,
48,343,166,289,251,611)( 16,538,270,531,315,381,562,400,582,200,459,
177,499, 77,248, 94,153,369, 26,363)( 17,548,345,156,314,376,612, 25,
583,195,409,302,496, 87,148,594,155,359, 51,488)( 18,543,295,281,311,
386,512,525,585,185,434,427,497, 97,223,219,154,354,101,113)
( 19,528,370, 31,313,391,537,275,581,190,384,552,500, 82,198,469,152,
374, 76,238)( 28,368, 41,288,266,536,265,506,565,385,557,450,457,197,
474,202,249, 79,228,119)( 29,353,116, 38,268,541,290,256,561,390,507,
575,460,182,449,452,247, 99,203,244)( 30,358, 66,413,267,546,340,131,
564,380,607, 75,458,192,424,327,246, 89,128,619)( 36,263,516,540,260,
556,440,382,572,475,207,199,454,227,124, 78,243, 44,278,366)
( 39,253,616, 40,258,566,415,257,571,465,132,574,455,232, 74,453,242,
49,328,241)( 43,293,291,286,261,511,515,510,560,435,432,447,472,222,
224,204,229,104,103,118)( 46,338,141,539,255,606, 65,383,567,425,332,
196,464,127,624, 80,233, 69,403,367)( 50,333,191,414,252,621, 90,133,
569,405,357, 71,463,142,549,330,231, 64,378,617)( 56,438,392,547,350,
206,189,379,602,125, 83,193,419,277,371, 86,138,519,530,360)
( 58,443,417,297,346,211,139,504,605,110)( 60,433,442,422,347,221,214,
129,604,105,108, 68,418,292,296,336,136,514,505,610)( 61,388,517,550,
335,181,439,377,622,100,208,194,404,352,121, 88,143,544,280,356)
( 63,393,542,300,331,186,389,502,625, 85,183,444,402,372, 96,213,144,
529,355,106)( 81,188,394,527,375),
( 1,358,139,622,391,103,259,237,521,493, 4,357,136,623,394,102,256,
238,524,492)( 2,356,138,624,392,101,258,239,522,491, 3,359,137,621,
393,104,257,236,523,494)( 5,360,140,625,395,105,260,240,525,495)
( 6,363,149,617,376,108,264,247,516,478, 9,362,146,618,379,107,261,
248,519,477)( 7,361,148,619,377,106,263,249,517,476, 8,364,147,616,
378,109,262,246,518,479)( 10,365,150,620,380,110,265,250,520,480)
( 11,373,144,602,381,113,274,242,501,483, 14,372,141,603,384,112,271,
243,504,482)( 12,371,143,604,382,111,273,244,502,481, 13,374,142,601,
383,114,272,241,503,484)( 15,375,145,605,385,115,275,245,505,485)
( 16,353,134,612,396,118,254,232,511,498, 19,352,131,613,399,117,251,
233,514,497)( 17,351,133,614,397,116,253,234,512,496, 18,354,132,611,
398,119,252,231,513,499)( 20,355,135,615,400,120,255,235,515,500)
( 21,368,129,607,386,123,269,227,506,488, 24,367,126,608,389,122,266,
228,509,487)( 22,366,128,609,387,121,268,229,507,486, 23,369,127,606,
388,124,267,226,508,489)( 25,370,130,610,390,125,270,230,510,490)
( 26,308,214,547,441, 78,284,187,596,418, 54,332,161,573,469, 27,306,
213,549,442, 76,283,189,597,416, 53,334,162,571,468, 29,307,211,548,
444, 77,281,188,599,417, 51,333,164,572,466, 28,309,212,546,443, 79,
282,186,598,419, 52,331,163,574,467)( 30,310,215,550,445, 80,285,190,
600,420, 55,335,165,575,470)( 31,313,224,542,426, 83,289,197,591,403,
59,337,171,568,454, 32,311,223,544,427, 81,288,199,592,401, 58,339,
172,566,453, 34,312,221,543,429, 82,286,198,594,402, 56,338,174,567,
451, 33,314,222,541,428, 84,287,196,593,404, 57,336,173,569,452)
( 35,315,225,545,430, 85,290,200,595,405, 60,340,175,570,455)
( 36,323,219,527,431, 88,299,192,576,408, 64,347,166,553,459, 37,321,
218,529,432, 86,298,194,577,406, 63,349,167,551,458, 39,322,216,528,
434, 87,296,193,579,407, 61,348,169,552,456, 38,324,217,526,433, 89,
297,191,578,409, 62,346,168,554,457)( 40,325,220,530,435, 90,300,195,
580,410, 65,350,170,555,460)( 41,303,209,537,446, 93,279,182,586,423,
69,327,156,563,474, 42,301,208,539,447, 91,278,184,587,421, 68,329,
157,561,473, 44,302,206,538,449, 92,276,183,589,422, 66,328,159,562,
471, 43,304,207,536,448, 94,277,181,588,424, 67,326,158,564,472)
( 45,305,210,540,450, 95,280,185,590,425, 70,330,160,565,475)
( 46,318,204,532,436, 98,294,177,581,413, 74,342,151,558,464, 47,316,
203,534,437, 96,293,179,582,411, 73,344,152,556,463, 49,317,201,533,
439, 97,291,178,584,412, 71,343,154,557,461, 48,319,202,531,438, 99,
292,176,583,414, 72,341,153,559,462)( 50,320,205,535,440,100,295,180,
585,415, 75,345,155,560,465) ] ],
[ 22, 207360000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5)^4.D_16", [ "A", 5, 4 ],
[ ( 1,621,579,489,430,110)( 2,246,577,239,427,235)( 3,371,578,364,428,360
)( 4,496,580,114,426,610)( 5,121,576,614,429,485)( 6,521,599,464,
440, 60)( 7,146,597,214,437,185)( 8,271,598,339,438,310)
( 9,396,600, 89,436,560)( 10, 21,596,589,439,435)( 11,571,584,389,
450, 85)( 12,196,582,139,447,210)( 13,321,583,264,448,335)
( 14,446,585)( 15, 71,581,514,449,460)( 16,546,594,414,445, 35)
( 17,171,592,164,442,160)( 18,296,593,289,443,285)( 19,421,595, 39,
441,535)( 20, 46,591,539,444,410)( 22,221,587,189,432,135)
( 23,346,588,314,433,260)( 24,471,590, 64,431,510)( 25, 96,586,564,
434,385)( 26,616,529,494,405,120)( 27,241,527,244,402,245)
( 28,366,528,369,403,370)( 29,491,530,119,401,620)( 30,116,526,619,
404,495)( 31,516,549,469,415, 70)( 32,141,547,219,412,195)
( 33,266,548,344,413,320)( 34,391,550, 94,411,570)( 36,566,534,394,
425, 95)( 37,191,532,144,422,220)( 38,316,533,269,423,345)
( 40, 66,531,519,424,470)( 41,541,544,419,420, 45)( 42,166,542,169,
417,170)( 43,291,543,294,418,295)( 44,416,545)( 47,216,537,194,407,
145)( 48,341,538,319,408,270)( 49,466,540, 69,406,520)
( 50, 91,536,569,409,395)( 51,606,504,499,455,115)( 52,231,502,249,
452,240)( 53,356,503,374,453,365)( 54,481,505,124,451,615)
( 55,106,501,624,454,490)( 56,506,524,474,465, 65)( 57,131,522,224,
462,190)( 58,256,523,349,463,315)( 59,381,525, 99,461,565)
( 61,556,509,399,475, 90)( 62,181,507,149,472,215)( 63,306,508,274,
473,340)( 67,156,517,174,467,165)( 68,281,518,299,468,290)
( 72,206,512,199,457,140)( 73,331,513,324,458,265)( 74,456,515)
( 75, 81,511,574,459,390)( 76,611,554,484,380,125)( 77,236,552,234,
377,250)( 78,361,553,359,378,375)( 79,486,555,109,376,625)
( 80,111,551,609,379,500)( 82,136,572,209,387,200)( 83,261,573,334,
388,325)( 84,386,575)( 86,561,559,384,400,100)( 87,186,557,134,397,
225)( 88,311,558,259,398,350)( 92,161,567,159,392,175)
( 93,286,568,284,393,300)( 97,211,562,184,382,150)( 98,336,563,309,
383,275)(101,601,604,479,480,105)(102,226,602,229,477,230)
(103,351,603,354,478,355)(104,476,605)(107,126,622,204,487,180)
(108,251,623,329,488,305)(112,176,607,129,497,205)(113,301,608,254,
498,330)(117,151,617,154,492,155)(118,276,618,279,493,280)
(122,201,612,179,482,130)(123,326,613,304,483,255)(127,247,202,237,
177,232)(128,372,203,362,178,357)(132,147,222,212,187,182)
(133,272,223,337,188,307)(137,197,207)(138,322,208,262,198,332)
(142,172,217,162,192,157)(143,297,218,287,193,282)(148,347,213,312,
183,257)(152,242)(153,367)(158,267,173,342,163,317)(168,292)(228,352)
(233,252,248,327,238,302)(243,277)(253,373,328,363,303,358)
(258,273,348,338,313,308)(263,323,333)(268,298,343,288,318,283)
(278,368), ( 1,441, 95,596,542,207,509,377,435, 25,421,170,224,529,
177, 59)( 2,431, 20,471,545,222,534,127,434, 5,446, 45,221,544,202,
559)( 3,436,120,346,543,212,609,252,433, 15,496,295,223,539,227,309)
( 4,426, 70, 96,541,217,584,502,432, 10,396,420,225,549,152,184)
( 6,391,470,600,547,157,134,379,430, 75, 46,166,219,579,552, 57)
( 7,381,395,475,550,172,159,129,429, 55, 71, 41,216,594,577,557)
( 8,386,495,350,548,162,234,254,428, 65,121,291,218,589,602,307)
( 9,376,445,100,546,167,209,504,427, 60, 21,416,220,599,527,182)
( 11,491,345,598,537,232,259,378,440,125,296,168,214,604,302, 58)
( 12,481,270,473,540,247,284,128,439,105,321, 43,211,619,327,558)
( 13,486,370,348,538,237,359,253,438,115,371,293,213,614,352,308)
( 14,476,320, 98,536,242,334,503,437,110,271,418,215,624,277,183)
( 16,466,595,597,532,132,384,380,450, 50,171,169,204,554, 52, 56)
( 17,456,520,472,535,147,409,130,449, 30,196, 44,201,569, 77,556)
( 18,461,620,347,533,137,484,255,448, 40,246,294,203,564,102,306)
( 19,451,570, 97,531,142,459,505,447, 35,146,419,205,574, 27,181)
( 22,406,145,474,530,197, 34,126,444, 80,571, 42,206,519,452,560)
( 23,411,245,349,528,187,109,251,443, 90,621,292,208,514,477,310)
( 24,401,195, 99,526,192, 84,501,442, 85,521,417,210,524,402,185)
( 26,191, 94,576,567, 82,506,392,460,525,422,160,149,404,180, 74)
( 28,186,119,326,568, 87,606,267,458,515,497,285,148,414,230,324)
( 29,176, 69, 76,566, 92,581,517,457,510,397,410,150,424,155,199)
( 31,141,469,580,572, 32,131,394,455,575, 47,156,144,454,555, 72)
( 33,136,494,330,573, 37,231,269,453,565,122,281,143,464,605,322)
( 36,241,344,578,562,107,256,393,465,625,297,158,139,479,305, 73)
( 38,236,369,328,563,112,356,268,463,615,372,283,138,489,355,323)
( 39,226,319, 78,561,117,331,518,462,610,272,408,140,499,280,198)
( 48,161,244,329,553, 62,106,266,468,590,622,282,133,389,480,325)
( 49,151,194, 79,551, 67, 81,516,467,585,522,407,135,399,405,200)
( 51, 66, 91,591,592,582,507,382,385,400,425,175,174,154,179, 54)
( 53, 61,116,341,593,587,607,257,383,390,500,300,173,164,229,304)
( 63,111,366,343,588,612,357,258,388,490,375,298,163,239,354,303)
( 64,101,316, 93,586,617,332,508,387,485,275,423,165,249,279,178)
( 68, 86,616,342,583,512,482,260,398,415,250,299,153,189,104,301)
( 83,511,492,335,523,412,235,274,403,190,124,276,193, 89,601,317)
( 88,611,367,333,513,487,360,273,413,240,374,278,188,114,351,318)
(103,311,118,336,618,337,608,262,483,265,498,290,248,289,228,314)
(108,261,493,340,623,287,233,264,478,315,123,286,243,339,603,312)
(113,361,368,338,613,362,358,263,488,365,373,288,238,364,353,313) ] ],
[ 23, 207360000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5)^4.SD_16", [ "A", 5, 4 ],
[ ( 1,264,295,455,502,271,365,155,378,257,325,105,129,268,335,555)
( 2,274,370,205,503,256,315, 30,379,267,350,605,126,263,285,430)
( 3,259,320, 80,504,266,340,530,376,262,300,480,127,273,360,180)
( 4,269,345,580,501,261,290,405,377,272,375,230,128,258,310, 55)
( 5,254,270,330,505,251,265,280,380,252,275,355,130,253,260,305)
( 6,314, 45,454,517,346,615,151,388,282,450,102,149,368,210,553)
( 7,324,120,204,518,331,565, 26,389,292,475,602,146,363,160,428)
( 8,309, 70, 79,519,341,590,526,386,287,425,477,147,373,235,178)
( 9,319, 95,579,516,336,540,401,387,297,500,227,148,358,185, 53)
( 10,304, 20,329,520,326,515,276,390,277,400,352,150,353,135,303)
( 11,289,420,452,522,371,240,153,383,307, 75,104,144,343,585,551)
( 12,299,495,202,523,356,190, 28,384,317,100,604,141,338,535,426)
( 13,284,445, 77,524,366,215,528,381,312, 50,479,142,348,610,176)
( 14,294,470,577,521,361,165,403,382,322,125,229,143,333,560, 51)
( 15,279,395,327,525,351,140,278,385,302, 25,354,145,328,510,301)
( 16,339,545,451,512,296,490,152,398,357,200,103,134,318, 85,554)
( 17,349,620,201,513,281,440, 27,399,367,225,603,131,313, 35,429)
( 18,334,570, 76,514,291,465,527,396,362,175,478,132,323,110,179)
( 19,344,595,576,511,286,415,402,397,372,250,228,133,308, 60, 54)
( 21,364,170,453,507,321,115,154,393,332,575,101,139,293,460,552)
( 22,374,245,203,508,306, 65, 29,394,342,600,601,136,288,410,427)
( 23,359,195, 78,509,316, 90,529,391,337,550,476,137,298,485,177)
( 24,369,220,578,506,311, 40,404,392,347,625,226,138,283,435, 52)
( 31,439, 42,474,617,221,613,156,438, 32,449,117,224,618,206,563)
( 33,434, 67, 99,619,216,588,531,436, 37,424,492,222,623,231,188)
( 34,444, 92,599,616,211,538,406,437, 47,499,242,223,608,181, 63)
( 36,414,417,472,622,246,238,158,433, 57, 74,119,219,593,581,561)
( 38,409,442, 97,624,241,213,533,431, 62, 49,494,217,598,606,186)
( 39,419,467,597,621,236,163,408,432, 72,124,244,218,583,556, 61)
( 41,464,542,471,612,171,488,157,448,107,199,118,209,568, 81,564)
( 43,459,567, 96,614,166,463,532,446,112,174,493,207,573,106,189)
( 44,469,592,596,611,161,413,407,447,122,249,243,208,558, 56, 64)
( 46,489,167,473,607,196,113,159,443, 82,574,116,214,543,456,562)
( 48,484,192, 98,609,191, 88,534,441, 87,549,491,212,548,481,187)
( 58, 59, 69, 94,594,591,586,536,411,412,422,497,247,248,233,183)
( 66, 89,544,466,587,546,486,162,423,482,197,123,234,193, 83,559)
( 68, 84,569, 91,589,541,461,537,421,487,172,498,232,198,108,184)
( 71,114,169,468,582,571,111,164,418,457,572,121,239,168,458,557)
( 73,109,194, 93,584,566, 86,539,416,462,547,496,237,173,483,182),
( 1, 64, 2,114)( 3, 89, 5, 39)( 4, 14)( 6, 69, 7,119)
( 8, 94, 10, 44)( 9, 19)( 11, 54, 12,104)( 13, 79, 15, 29)
( 16, 59, 17,109)( 18, 84, 20, 34)( 21, 74, 22,124)( 23, 99, 25, 49)
( 26, 63, 77,115)( 27,113, 76, 65)( 28, 88, 80, 40)( 30, 38, 78, 90)
( 31, 68, 82,120)( 32,118, 81, 70)( 33, 93, 85, 45)( 35, 43, 83, 95)
( 36, 53, 87,105)( 37,103, 86, 55)( 41, 58, 92,110)( 42,108, 91, 60)
( 46, 73, 97,125)( 47,123, 96, 75)( 48, 98,100, 50)( 51, 62,102,111)
( 52,112,101, 61)( 56, 67,107,116)( 57,117,106, 66)( 71, 72,122,121)
(126,564,377,364)(127,614,376,314)(128,589,380,289)(129,514,379,264)
(130,539,378,339)(131,569,382,369)(132,619,381,319)(133,594,385,294)
(134,519,384,269)(135,544,383,344)(136,554,387,354)(137,604,386,304)
(138,579,390,279)(139,504,389,254)(140,529,388,329)(141,559,392,359)
(142,609,391,309)(143,584,395,284)(144,509,394,259)(145,534,393,334)
(146,574,397,374)(147,624,396,324)(148,599,400,299)(149,524,399,274)
(150,549,398,349)(151,563,452,365)(152,613,451,315)(153,588,455,290)
(154,513,454,265)(155,538,453,340)(156,568,457,370)(157,618,456,320)
(158,593,460,295)(159,518,459,270)(160,543,458,345)(161,553,462,355)
(162,603,461,305)(163,578,465,280)(164,503,464,255)(165,528,463,330)
(166,558,467,360)(167,608,466,310)(168,583,470,285)(169,508,469,260)
(170,533,468,335)(171,573,472,375)(172,623,471,325)(173,598,475,300)
(174,523,474,275)(175,548,473,350)(176,562,477,361)(177,612,476,311)
(178,587,480,286)(179,512,479,261)(180,537,478,336)(181,567,482,366)
(182,617,481,316)(183,592,485,291)(184,517,484,266)(185,542,483,341)
(186,552,487,351)(187,602,486,301)(188,577,490,276)(189,502,489,251)
(190,527,488,326)(191,557,492,356)(192,607,491,306)(193,582,495,281)
(194,507,494,256)(195,532,493,331)(196,572,497,371)(197,622,496,321)
(198,597,500,296)(199,522,499,271)(200,547,498,346)(201,565,402,363)
(202,615,401,313)(203,590,405,288)(204,515,404,263)(205,540,403,338)
(206,570,407,368)(207,620,406,318)(208,595,410,293)(209,520,409,268)
(210,545,408,343)(211,555,412,353)(212,605,411,303)(213,580,415,278)
(214,505,414,253)(215,530,413,328)(216,560,417,358)(217,610,416,308)
(218,585,420,283)(219,510,419,258)(220,535,418,333)(221,575,422,373)
(222,625,421,323)(223,600,425,298)(224,525,424,273)(225,550,423,348)
(226,561,427,362)(227,611,426,312)(228,586,430,287)(229,511,429,262)
(230,536,428,337)(231,566,432,367)(232,616,431,317)(233,591,435,292)
(234,516,434,267)(235,541,433,342)(236,551,437,352)(237,601,436,302)
(238,576,440,277)(239,501,439,252)(240,526,438,327)(241,556,442,357)
(242,606,441,307)(243,581,445,282)(244,506,444,257)(245,531,443,332)
(246,571,447,372)(247,621,446,322)(248,596,450,297)(249,521,449,272)
(250,546,448,347) ] ],
[ 24, 311040000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 96, 1 ] ], 1,
"Alt(5)^4.Sym(4)", [ "A", 5, 4 ],
[ ( 1,162,303, 82,361,133, 26,187,328,107,261,158, 51,212,353, 7,286,183,
76,237,253, 32,311,208,101,137,278, 57,336,233)( 2,287,308, 81,236,
128, 27,312,333,106,136,153, 52,337,358, 6,161,178, 77,362,258, 31,
186,203,102,262,283, 56,211,228)( 3, 37,313, 83,111,138, 28, 62,338,
108, 11,163, 53, 87,363, 8, 36,188, 78,112,263, 33, 61,213,103, 12,
288, 58, 86,238)( 4,412,318, 85,611,148, 29,437,343,110,511,173, 54,
462,368, 10,536,198, 79,487,268, 35,561,223,104,387,293, 60,586,248)
( 5,537,323, 84,486,143, 30,562,348,109,386,168, 55,587,373, 9,411,
193, 80,612,273, 34,436,218,105,512,298, 59,461,243)( 13, 38, 63, 88,
113)( 14,413, 68, 90,613, 23, 39,438, 93,115,513, 48, 64,463,118, 15,
538, 73, 89,488, 18, 40,563, 98,114,388, 43, 65,588,123)
( 16,165,553, 97,364,383, 41,190,578,122,264,408, 66,215,603, 22,289,
433, 91,240,503, 47,314,458,116,140,528, 72,339,483)( 17,290,558, 96,
239,378, 42,315,583,121,139,403, 67,340,608, 21,164,428, 92,365,508,
46,189,453,117,265,533, 71,214,478)( 19,415,568,100,614,398, 44,440,
593,125,514,423, 69,465,618, 25,539,448, 94,490,518, 50,564,473,119,
390,543, 75,589,498)( 20,540,573, 99,489,393, 45,565,598,124,389,418,
70,590,623, 24,414,443, 95,615,523, 49,439,468,120,515,548, 74,464,
493)(126,152,302,332,356,131,151,177,327,357,256,156,176,202,352,257,
281,181,201,227,252,282,306,206,226,127,277,307,331,231)
(129,402,317,335,606,146,154,427,342,360,506,171,179,452,367,260,531,
196,204,477,267,285,556,221,229,377,292,310,581,246)(130,527,322,334,
481,141,155,552,347,359,381,166,180,577,372,259,406,191,205,602,272,
284,431,216,230,502,297,309,456,241)(132,276,182,326,232,251,157,301,
207,351)(134,401,192,330,607,271,159,426,217,355,507,296,184,451,242,
255,532,321,209,476,142,280,557,346,234,376,167,305,582,371)
(135,526,197,329,482,266,160,551,222,354,382,291,185,576,247,254,407,
316,210,601,147,279,432,341,235,501,172,304,457,366)(144,405,567,350,
609,396,169,430,592,375,509,421,194,455,617,275,534,446,219,480,517,
300,559,471,244,380,542,325,584,496)(145,530,572,349,484,391,170,555,
597,374,384,416,195,580,622,274,409,441,220,605,522,299,434,466,245,
505,547,324,459,491)(149,404,442,345,610,521,174,429,467,370,510,546,
199,454,492,270,535,571,224,479,392,295,560,596,249,379,417,320,585,
621)(150,529,447,344,485,516,175,554,472,369,385,541,200,579,497,269,
410,566,225,604,397,294,435,591,250,504,422,319,460,616)
(394,420,570,600,624,399,419,445,595,625,524,424,444,470,620,525,549,
449,469,495,520,550,574,474,494,395,545,575,599,499)(400,544,450,594,
500,519,425,569,475,619),
( 1,333,499,567,130, 33,464,571,252,233,419,565)( 2,208,424,562,126,
283,489,566,255,108,469,575)( 3,458,449,552,128,408,439,551,253,483,
444,555)( 4,583,399,557,129,533,389,556,254,608,394,560)
( 5, 83,474,572,127,158,414,561,251,358,494,570)( 6,334,624,517,135,
34,589,521,257,234,544,515)( 7,209,549,512,131,284,614,516,260,109,
594,525)( 8,459,574,502,133,409,564,501,258,484,569,505)
( 9,584,524,507,134,534,514,506,259,609,519,510)( 10, 84,599,522,132,
159,539,511,256,359,619,520)( 11,331,374,617,145, 35, 89,596,272,232,
169,540)( 12,206,299,612,141,285,114,591,275,107,219,550)
( 13,456,324,602,143,410, 64,576,273,482,194,530)( 14,581,274,607,144,
535)( 15, 81,349,622,142,160, 39,586,271,357,244,545)
( 16,335,124,592,150, 32,214,546,262,231,294,615)( 17,210, 49,587,146,
282,239,541,265,106,344,625)( 18,460, 74,577,148,407,189,526,263,481,
319,605)( 19,585, 24,582,149,532,139,531,264,606,269,610)
( 20, 85, 99,597,147,157,164,536,261,356,369,620)( 21,332,249,542,140,
31,339,621,267,235, 44,590)( 22,207,174,537,136,281,364,616,270,110,
94,600)( 23,457,199,527,138,406,314,601,268,485, 69,580)
( 25, 82,224,547,137,156,289,611,266,360,119,595)( 26,338,496,317,230,
43,465, 71,327,248,417,190)( 27,213,421,312,226,293,490, 66,330,123,
467,200)( 28,463,446,302,228,418,440, 51,328,498,442,180)
( 29,588,396,307,229,543,390, 56,329,623,392,185)( 30, 88,471,322,227,
168,415, 61,326,373,492,195)( 36,336,371,367,245, 45, 90, 96,347,247,
167,165)( 37,211,296,362,241,295,115, 91,350,122,217,175)
( 38,461,321,352,243,420, 65, 76,348,497,192,155)( 40, 86,346,372,242,
170)( 41,340,121,342,250, 42,215, 46,337,246,292,240)
( 47,212,171,287,236,291,365,116,345,125, 92,225)( 48,462,196,277,238,
416,315,101,343,500, 67,205)( 50, 87,221,297,237,166,290,111,341,375,
117,220)( 52,203,423,437,176,278,488,441,305,103,468,450)
( 53,453,448,427,178,403,438,426,303,478,443,430)( 54,578,398,432,179,
528,388,431,304,603,393,435)( 55, 78,473,447,177,153,413,436,301,353,
493,445)( 57,204,548,387,181,279,613,391,310,104,593,400)
( 58,454,573,377,183,404,563,376,308,479,568,380)( 59,579,523,382,184,
529,513,381,309,604,518,385)( 60, 79,598,397,182,154,538,386,306,354,
618,395)( 62,201,298,487,191,280,113,466,325,102,218,425)
( 63,451,323,477,193,405)( 68,455, 73,452,198,402,188,401,313,476,318,
480)( 70, 80, 98,472,197,152,163,411,311,351,368,495)
( 72,202,173,412,186,276,363,491,320,105, 93,475)( 75, 77,223,422,187,
151,288,486,316,355,118,470)( 95,100, 97,222,172,162,161,286,361,366,
370,120)(112,216,300)(378,433,429,553)(379,558)(383,434,554,503)
(384,559,504,508) ] ],
[ 25, 311040000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 96, 1 ] ], 1,
"Alt(5) wreath Sym(4)", [ "A", 5, 4 ],
[ ( 1, 24,272,371,369,492,416,404, 27)( 2, 21,274,372,366,494,417,401, 29)
( 3, 23,273,373,368,493,418,403, 28)( 4, 22,271,374,367,491,419,402,
26)( 5, 25,275,375,370,495,420,405, 30)( 6,524,322,356,619,442,406,
529, 52)( 7,521,324,357,616,444,407,526, 54)( 8,523,323,358,618,
443,408,528, 53)( 9,522,321,359,617,441,409,527, 51)
( 10,525,325,360,620,445,410,530, 55)( 11,149,347,361,244,467,411,154,
77)( 12,146,349,362,241,469,412,151, 79)( 13,148,348,363,243,468,413,
153, 78)( 14,147,346,364,242,466,414,152, 76)( 15,150,350,365,245,
470,415,155, 80)( 16,399,297,351,119,392,421,279,102)
( 17,396,299,352,116,394,422,276,104)( 18,398,298,353,118,393,423,278,
103)( 19,397,296,354,117,391,424,277,101)( 20,400,300,355,120,395,
425,280,105)( 31,504, 72,256,624,317,481,544,427)( 32,501, 74,257,
621,319,482,541,429)( 33,503, 73,258,623,318,483,543,428)
( 34,502, 71,259,622,316,484,542,426)( 35,505, 75,260,625,320,485,545,
430)( 36,129, 97,261,249,342,486,169,452)( 37,126, 99,262,246,344,
487,166,454)( 38,128, 98,263,248,343,488,168,453)( 39,127, 96,264,
247,341,489,167,451)( 40,130,100,265,250,345,490,170,455)
( 41,379, 47,251,124,267,496,294,477)( 42,376, 49,252,121,269,497,291,
479)( 43,378, 48,253,123,268,498,293,478)( 44,377, 46,254,122,266,
499,292,476)( 45,380, 50,255,125,270,500,295,480)( 56,509,572,306,
609,567,431,534,552)( 57,506,574,307,606,569,432,531,554)
( 58,508,573,308,608,568,433,533,553)( 59,507,571,309,607,566,434,532,
551)( 60,510,575,310,610,570,435,535,555)( 61,134,597,311,234,592,
436,159,577)( 62,131,599,312,231,594,437,156,579)( 63,133,598,313,
233,593,438,158,578)( 64,132,596,314,232,591,439,157,576)
( 65,135,600,315,235,595,440,160,580)( 66,384,547,301,109,517,446,284,
602)( 67,381,549,302,106,519,447,281,604)( 68,383,548,303,108,518,
448,283,603)( 69,382,546,304,107,516,449,282,601)( 70,385,550,305,
110,520,450,285,605)( 81,514,197,331,614,192,456,539,177)
( 82,511,199,332,611,194,457,536,179)( 83,513,198,333,613,193,458,538,
178)( 84,512,196,334,612,191,459,537,176)( 85,515,200,335,615,195,
460,540,180)( 86,139,222,336,239,217,461,164,202)( 87,136,224,337,
236,219,462,161,204)( 88,138,223,338,238,218,463,163,203)
( 89,137,221,339,237,216,464,162,201)( 90,140,225,340,240,220,465,165,
205)( 91,389,172,326,114,142,471,289,227)( 92,386,174,327,111,144,
472,286,229)( 93,388,173,328,113,143,473,288,228)( 94,387,171,329,
112,141,474,287,226)( 95,390,175,330,115,145,475,290,230)
(181,584,562)(182,581,564)(183,583,563)(184,582,561)(185,585,565)
(186,209,587)(187,206,589)(188,208,588)(189,207,586)(190,210,590)
(211,214,212)(556,559,557),
( 1,504,259, 6,501,254, 9,506,251, 4,509,256)( 2,524,260, 16,502,
274, 10,516,252, 24,510,266)( 3,514,258, 11,503,264, 8,511,253, 14,
508,261)( 5,519,257, 21,505,269, 7,521,255, 19,507,271)
( 12,523,265, 18,512,273, 15,518,262, 23,515,268)( 13,513,263)
( 17,522,275, 20,517,272, 25,520,267, 22,525,270)( 26,579,284, 81,526,
329, 34,581,276, 79,534,331)( 27,599,285, 91,527,349, 35,591,277, 99,
535,341)( 28,589,283, 86,528,339, 33,586,278, 89,533,336)
( 29,584,281, 76,529,334, 31,576,279, 84,531,326)( 30,594,282, 96,530,
344, 32,596,280, 94,532,346)( 36,578,289, 83,536,328, 39,583,286, 78,
539,333)( 37,598,290, 93,537,348, 40,593,287, 98,540,343)
( 38,588,288, 88,538,338)( 41,577,299, 85,541,327, 49,585,291, 77,549,
335)( 42,597,300, 95,542,347, 50,595,292, 97,550,345)
( 43,587,298, 90,543,337, 48,590,293, 87,548,340)( 44,582,296, 80,544,
332, 46,580,294, 82,546,330)( 45,592,297,100,545,342, 47,600,295, 92,
547,350)( 51,604,309,106,551,354, 59,606,301,104,559,356)
( 52,624,310,116,552,374, 60,616,302,124,560,366)( 53,614,308,111,553,
364, 58,611,303,114,558,361)( 54,609,306,101,554,359, 56,601,304,109,
556,351)( 55,619,307,121,555,369, 57,621,305,119,557,371)
( 61,603,314,108,561,353, 64,608,311,103,564,358)( 62,623,315,118,562,
373, 65,618,312,123,565,368)( 63,613,313,113,563,363)
( 66,602,324,110,566,352, 74,610,316,102,574,360)( 67,622,325,120,567,
372, 75,620,317,122,575,370)( 68,612,323,115,568,362, 73,615,318,112,
573,365)( 69,607,321,105,569,357, 71,605,319,107,571,355)
( 70,617,322,125,570,367, 72,625,320,117,572,375)(126,129,134,131)
(127,149,135,141)(128,139,133,136)(130,144,132,146)(137,148,140,143)
(142,147,150,145)(151,204,159,206)(152,224,160,216)(153,214,158,211)
(154,209,156,201)(155,219,157,221)(161,203,164,208)(162,223,165,218)
(163,213)(166,202,174,210)(167,222,175,220)(168,212,173,215)
(169,207,171,205)(170,217,172,225)(176,229,184,231)(177,249,185,241)
(178,239,183,236)(179,234,181,226)(180,244,182,246)(186,228,189,233)
(187,248,190,243)(188,238)(191,227,199,235)(192,247,200,245)
(193,237,198,240)(194,232,196,230)(195,242,197,250)(376,379,384,381)
(377,399,385,391)(378,389,383,386)(380,394,382,396)(387,398,390,393)
(392,397,400,395)(401,454,409,456)(402,474,410,466)(403,464,408,461)
(404,459,406,451)(405,469,407,471)(411,453,414,458)(412,473,415,468)
(413,463)(416,452,424,460)(417,472,425,470)(418,462,423,465)
(419,457,421,455)(420,467,422,475)(426,479,434,481)(427,499,435,491)
(428,489,433,486)(429,484,431,476)(430,494,432,496)(436,478,439,483)
(437,498,440,493)(438,488)(441,477,449,485)(442,497,450,495)
(443,487,448,490)(444,482,446,480)(445,492,447,500) ] ],
[ 26, 311040000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 96, 1 ] ], 1,
"Alt(5)^4:Q_8:3", [ "A", 5, 4 ],
[ ( 1,125,362,142,180,321, 11,120,352,147,190,316)( 2,250,312,141, 55,371,
12,245,302,146, 65,366)( 3,500,337,143,430,346, 13,495,327,148,440,
341)( 4,625,287,144,555,296, 14,620,277,149,565,291)
( 5,375,262,145,305,271, 15,370,252,150,315,266)( 6,110,357,132,185,
306)( 7,235,307,131, 60,356)( 8,485,332,133,435,331)
( 9,610,282,134,560,281)( 10,360,257,135,310,256)( 16,105,372,137,
195,301, 21,115,367,127,200,311)( 17,230,322,136, 70,351, 22,240,317,
126, 75,361)( 18,480,347,138,445,326, 23,490,342,128,450,336)
( 19,605,297,139,570,276, 24,615,292,129,575,286)( 20,355,272,140,320,
251, 25,365,267,130,325,261)( 26,124,612,167,179,571, 36,119,602,172,
189,566)( 27,249,562,166, 54,621, 37,244,552,171, 64,616)
( 28,499,587,168,429,596, 38,494,577,173,439,591)( 29,624,537,169,554,
546, 39,619,527,174,564,541)( 30,374,512,170,304,521, 40,369,502,175,
314,516)( 31,109,607,157,184,556)( 32,234,557,156, 59,606)
( 33,484,582,158,434,581)( 34,609,532,159,559,531)( 35,359,507,160,
309,506)( 41,104,622,162,194,551, 46,114,617,152,199,561)
( 42,229,572,161, 69,601, 47,239,567,151, 74,611)( 43,479,597,163,444,
576, 48,489,592,153,449,586)( 44,604,547,164,569,526, 49,614,542,154,
574,536)( 45,354,522,165,319,501, 50,364,517,155,324,511)
( 51,121,112,242,177,196, 61,116,102,247,187,191)( 52,246, 62,241)
( 53,496, 87,243,427,221, 63,491, 77,248,437,216)( 56,106,107,232,182,
181)( 57,231)( 58,481, 82,233,432,206)( 66,101,122,237,192,176, 71,
111,117,227,197,186)( 67,226, 72,236)( 68,476, 97,238,442,201, 73,
486, 92,228,447,211)( 76,123,487,217,178,446, 86,118,477,222,188,441)
( 78,498,462,218,428,471, 88,493,452,223,438,466)( 79,623,412,219,553,
421, 89,618,402,224,563,416)( 80,373,387,220,303,396, 90,368,377,225,
313,391)( 81,108,482,207,183,431)( 83,483,457,208,433,456)
( 84,608,407,209,558,406)( 85,358,382,210,308,381)( 91,103,497,212,
193,426, 96,113,492,202,198,436)( 93,478,472,213,443,451, 98,488,467,
203,448,461)( 94,603,422,214,568,401, 99,613,417,204,573,411)
( 95,353,397,215,318,376,100,363,392,205,323,386)(253,400,340,268,380,
350,263,395,330,273,390,345)(254,525,290,269,505,300,264,520,280,274,
515,295)(255,275,265,270)(258,385,335)(259,510,285)(278,399,590,293,
379,600,288,394,580,298,389,595)(279,524,540,294,504,550,289,519,530,
299,514,545)(283,384,585)(284,509,535)(328,398,465,343,378,475,338,
393,455,348,388,470)(329,523,415,344,503,425,339,518,405,349,513,420)
(333,383,460)(334,508,410)(403,474,588,418,454,598,413,469,578,423,
464,593)(404,599,538,419,579,548,414,594,528,424,589,543)
(408,459,583)(409,584,533)(453,473,463,468)(529,549,539,544),
( 1, 94,134,243,503,591, 6,119,129,218,508,616)( 2,469,135,368,502,
466, 10,369,127,468,510,366)( 3,594,131,118,504,216, 8,619,126, 93,
509,241)( 4,219,133,618,501, 91, 9,244,128,593,506,116)
( 5,344,132,493,505,341, 7,494,130,343,507,491)( 11, 44,139,168,513,
541)( 12,419,140,293,512,416, 15,294,137,418,515,291)
( 13,544,136, 43,514,166)( 14,169,138,543,511, 41)( 16, 19,144,143,
518,516)( 17,394,145,268,517,391, 20,269,142,393,520,266)
( 18,519,141)( 21, 69,149,193,523,566)( 22,444,150,318,522,441, 25,
319,147,443,525,316)( 23,569,146, 68,524,191)( 24,194,148,568,521, 66
)( 26, 89,159,238,528,586, 31,114,154,213,533,611)( 27,464,160,363,
527,461, 35,364,152,463,535,361)( 28,589,156,113,529,211, 33,614,151,
88,534,236)( 29,214,158,613,526, 86, 34,239,153,588,531,111)
( 30,339,157,488,530,336, 32,489,155,338,532,486)( 36, 39,164,163,538,
536)( 37,414,165,288,537,411, 40,289,162,413,540,286)( 38,539,161)
( 42,389,170,263,542,386, 45,264,167,388,545,261)( 46, 64,174,188,548,
561)( 47,439,175,313,547,436, 50,314,172,438,550,311)
( 48,564,171, 63,549,186)( 49,189,173,563,546, 61)( 51, 99,184,248,
553,596, 56,124,179,223,558,621)( 52,474,185,373,552,471, 60,374,177,
473,560,371)( 53,599,181,123,554,221, 58,624,176, 98,559,246)
( 54,224,183,623,551, 96, 59,249,178,598,556,121)( 55,349,182,498,555,
346, 57,499,180,348,557,496)( 62,424,190,298,562,421, 65,299,187,423,
565,296)( 67,399,195,273,567,396, 70,274,192,398,570,271)
( 71, 74,199,198,573,571)( 72,449,200,323,572,446, 75,324,197,448,575,
321)( 73,574,196)( 76, 84,234,228,578,581,106,104,204,208,608,601)
( 77,459,235,353,577,456,110,354,202,458,610,351)( 78,584,231,103,579,
206,108,604,201, 83,609,226)( 79,209,233,603,576, 81,109,229,203,583,
606,101)( 80,334,232,478,580,331,107,479,205,333,607,476)
( 82,484,230,328,582,481,105,329,207,483,605,326)( 85,359,227,453,585,
356,102,454,210,358,602,451)( 87,409,240,278,587,406,115,279,212,408,
615,276)( 90,284,237,403,590,281,112,404,215,283,612,401)
( 92,384,245,253,592,381,120,254,217,383,620,251)( 95,259,242,378,595,
256,117,379,220,258,617,376)( 97,434,250,303,597,431,125,304,222,433,
625,301)(100,309,247,428,600,306,122,429,225,308,622,426)
(252,467,385,370)(255,342,382,495)(257,492,380,345)(260,367,377,470)
(262,417,390,295)(265,292,387,420)(267,392,395,270)(272,442,400,320)
(275,317,397,445)(277,462,410,365)(280,337,407,490)(282,487,405,340)
(285,362,402,465)(287,412,415,290)(297,437,425,315)(300,312,422,440)
(302,472,435,375)(305,347,432,500)(307,497,430,350)(310,372,427,475)
(322,447,450,325)(327,457,485,355)(330,332,482,480)(335,357,477,455)
(352,452,460,360) ] ],
[ 27, 311040000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 96, 1 ] ], 1,
"Alt(5)^4.2^3:3", [ "A", 5, 4 ],
[ ( 1,245,336,177,481,164, 71,135,291,222,376,244, 86,180,356,162,446,134,
41,225,251,242,461,179,106,165,321,132,416,224)( 2,495,339, 52,485,
289, 72,385,294, 97,380,369, 87,430,359, 37,450,259, 42,475,254,117,
465,304,107,415,324, 7,420,349)( 3,620,338,552,483,539, 73,510,293,
597,378,619, 88,555,358,537,448,509, 43,600,253,617,463,554,108,540,
323,507,418,599)( 4,120,340,302,482,414, 74, 10,295,347,377,494, 89,
55,360,287,447,384, 44,100,255,367,462,429,109, 40,325,257,417,474)
( 5,370,337,427,484, 39, 75,260,292,472,379,119, 90,305,357,412,449,
9, 45,350,252,492,464, 54,110,290,322,382,419, 99)( 6,170,346,127,
491,214, 51,235,286,197,381,169, 96,130,366,212,426,234, 36,200,256,
167,471,129,116,215,301,232,411,199)( 8,545,348,502,493,589, 53,610,
288,572,383,544, 98,505,368,587,428,609, 38,575,258,542,473,504,118,
590,303,607,413,574)( 11,195,331,152,496,139, 66,210,276,247,386,194,
81,155,371,137,441,209, 26,250,261,192,456,154,121,140,316,207,401,
249)( 12,445,334, 27,500,264, 67,460,279,122,390,319, 82,405,374)
( 13,570,333,527,498,514, 68,585,278,622,388,569, 83,530,373,512,443,
584, 28,625,263,567,458,529,123,515,318,582,403,624)( 14, 70,335,277,
497,389, 69, 85,280,372,387,444, 84, 30,375,262,442,459, 29,125,265,
317,457,404,124, 15,320,332,402,499)( 16,220,326,227,486,189, 56,160,
296,147,391,219, 76,230,361,187,431,159, 46,150,266,217,451,229,111,
190,306,157,421,149)( 17,470,329,102,490,314, 57,410,299, 22,395,344,
77,480,364, 62,435,284, 47,400,269, 92,455,354,112,440,309, 32,425,
274)( 18,595,328,602,488,564, 58,535,298,522,393,594, 78,605,363,562,
433,534, 48,525,268,592,453,604,113,565,308,532,423,524)
( 19, 95,330,352,487,439, 59, 35,300,272,392,469, 79,105,365,312,432,
409, 49, 25,270,342,452,479,114, 65,310,282,422,399)( 20,345,327,477,
489, 64, 60,285,297,397,394, 94, 80,355,362,437,434, 34, 50,275,267,
467,454,104,115,315,307,407,424, 24)( 21,145,341,202,476,239, 61,185,
281,172,396,144, 91,205,351,237,436,184, 31,175,271,142,466,204,101,
240,311,182,406,174)( 23,520,343,577,478,614, 63,560,283,547,398,519,
93,580,353,612,438,559, 33,550,273,517,468,579,103,615,313,557,408,
549)(126,241,211,176,231,161,196,131,166,221)(128,616,213,551,233,
536,198,506,168,596)(133,541,223,501,243,586,178,606,163,571)
(136,191,206,151,246)(138,566,208,526,248,511,193,581,153,621)
(141,216,201,226,236,186,181,156,171,146)(143,591,203,601,238,561,183,
531,173,521)(148,516,218,576,228,611,188,556,158,546)
(503,618,588,553,608,538,573,508,543,598)(513,568,583,528,623)
(518,593,578,603,613,563,558,533,548,523),
( 1,176,152,528, 3, 51,177,527,503)( 2,551,127,526,128, 26,178, 27,
553)( 4,426,227,530,253, 76,179,402,603, 5,301,202,529,378,101,180,
277,578)( 6,181,157,533, 8, 56,182,532,508)( 7,556,132,531,133,
31,183, 32,558)( 9,431,232,535,258, 81,184,407,608, 10,306,207,534,
383,106,185,282,583)( 11,196,162,548, 13, 71,187,547,513, 21,186,172,
538, 23, 61,197,537,523)( 12,571,137,546,138, 46,188, 47,563, 22,561,
147,536,148, 36,198, 37,573)( 14,446,237,550,263, 96,189,422,613, 25,
311,222,539,398,111,200,287,598)( 15,321,212,549,388,121,190,297,588,
24,436,247,540,273, 86,199,412,623)( 16,191,167,543, 18, 66,192,542,
518)( 17,566,142,541,143, 41,193, 42,568)( 19,441,242,545,268, 91,
194,417,618, 20,316,217,544,393,116,195,292,593)( 28, 53, 52,552,502,
501,126,151,153)( 29,428,102,555,252,576,129,401,228, 30,303, 77,554,
377,601,130,276,203)( 33, 58, 57,557,507,506,131,156,158)
( 34,433,107,560,257,581,134,406,233, 35,308, 82,559,382,606,135,281,
208)( 38, 73, 62,572,512,521,136,171,163, 48, 63, 72,562,522,511,146,
161,173)( 39,448,112,575,262,596,139,421,238, 50,313, 97,564,397,611,
150,286,223)( 40,323, 87,574,387,621,140,296,213, 49,438,122,565,272,
586,149,411,248)( 43, 68, 67,567,517,516,141,166,168)
( 44,443,117,570,267,591,144,416,243, 45,318, 92,569,392,616,145,291,
218)( 54,427,602,505,251,201,154,403,103, 55,302,577,504,376,226,155,
278, 78)( 59,432,607,510,256,206,159,408,108, 60,307,582,509,381,231,
160,283, 83)( 64,447,612,525,261,221,164,423,113, 75,312,597,514,396,
236,175,288, 98)( 65,322,587,524,386,246,165,298, 88, 74,437,622,515,
271,211,174,413,123)( 69,442,617,520,266,216,169,418,118, 70,317,592,
519,391,241,170,293, 93)( 79,429,477,605,255,326,204,404,478,105,305,
327,579,379,476,230,280,328)( 80,304,452,604,380,351,205,279,453,104,
430,352,580,254,451,229,405,353)( 84,434,482,610,260,331,209,409,483,
110,310,332,584,384,481,235,285,333)( 85,309,457,609,385,356,210,284,
458,109,435,357,585,259,456,234,410,358)( 89,449,487,625,265,346,214,
424,488,125,315,347,589,399,486,250,290,348)( 90,324,462,624,390,371,
215,299,463,124,440,372,590,274,461,249,415,373)( 94,444,492,620,270,
341,219,419,493,120,320,342,594,394,491,245,295,343)( 95,319,467,619,
395,366,220,294,468,119,445,367,595,269,466,244,420,368)
( 99,439,497,615,275,336,224,414,498,115,325,337,599,389,496,240,300,
338)(100,314,472,614,400,361,225,289,473,114,450,362,600,264,471,239,
425,363)(329,454,479,480,355,330)(334,459,484,485,360,335)
(339,474,489,500,365,350)(340,349,464,499,490,375)(344,469,494,495,
370,345)(354,455)(359,460)(364,475)(369,470)(374,465) ] ],
[ 28, 414720000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5)^4.2^2:4:2", [ "A", 5, 4 ],
[ ( 2,126, 26, 21, 3,501, 51, 11, 4,251,101, 16)( 5,376, 76, 6)
( 7,130,401, 96, 8,505,426, 86, 9,255,476, 91)( 10,380,451, 81)
( 12,129,276,121, 18,502,176, 36, 24,253,601, 66)( 13,504,301,111, 19,
252,226, 41, 22,128,526, 71)( 14,254,351,116, 17,127,151, 46, 23,503,
551, 61)( 15,379,326,106, 20,377,201, 31, 25,378,576, 56)
( 27,146, 28,521, 53,511, 54,261,104,266,102,141)( 29,271,103,516, 52,
136)( 30,396, 78,506, 55,386, 79,256,105,391, 77,131)
( 32,150,403,596, 58,515,429,336,109,270,477,216)( 33,525,428,586, 59,
265,479,341,107,145,402,221)( 34,275,478,591, 57,140,404,346,108,520,
427,211)( 35,400,453,581, 60,390,454,331,110,395,452,206)
( 37,149,278,621, 68,512,179,286,124,268,602,191)( 38,524,303,611, 69,
262,229,291,122,143,527,196)( 39,274,353,616, 67,137,154,296,123,518,
552,186)( 40,399,328,606, 70,387,204,281,125,393,577,181)
( 42,147,153,546, 73,513,554,311,114,269,352,241)( 43,522,178,536, 74,
263,604,316,112,144,277,246)( 44,272,228,541, 72,138,529,321,113,519,
302,236)( 45,397,203,531, 75,388,579,306,115,394,327,231)
( 47,148,528,571, 63,514,304,361,119,267,227,166)( 48,523,553,561, 64,
264,354,366,117,142,152,171)( 49,273,603,566, 62,139,279,371,118,517,
177,161)( 50,398,578,556, 65,389,329,356,120,392,202,156)( 80,381)
( 82,135,405,471, 83,510,430,461, 84,260,480,466)( 85,385,455,456)
( 87,134,280,496, 93,507,180,411, 99,258,605,441)( 88,509,305,486, 94,
257,230,416, 97,133,530,446)( 89,259,355,491, 92,132,155,421, 98,508,
555,436)( 90,384,330,481, 95,382,205,406,100,383,580,431)
(157,175,423,598,558,565,439,339,359,370,492,217)(158,550,448,588,559,
315,489,344,357,245,417,222)(159,300,498,593,557,190,414,349,358,620,
442,212)(160,425,473,583,560,440,464,334,360,495,467,207)
(162,174,298,623,568,562,189,289,374,368,617,192)(163,549,323,613,569,
312,239,294,372,243,542,197)(164,299,373,618,567,187)
(165,424,348,608,570,437,214,284,375,493,592,182)(167,172,173,548,573,
563,564,314,364,369,367,242)(168,547,198,538,574,313,614,319,362,244,
292,247)(169,297,248,543,572,188,539,324,363,619,317,237)
(170,422,223,533,575,438,589,309,365,494,342,232)(183,540,449,338,609,
320,487,219,282,250,418,597)(184,290,499,343,607,195,412,224,283,625,
443,587)(185,415,474,333,610,445,462,209,285,500,468,582)
(193,537,199,288,624,318,612,194,287,249,293,622)(200,413,599,308,615,
444,337,234,295,497,218,532)(208,535,450,463,584,310,490,469,332,235,
420,472)(210,410,475,458,585,435,465,459,335,485,470,457)
(213,534,325,488,594,307,240,419,347,233,545,447)(215,409,350,483,595,
432)(220,407,225,408,600,433,590,434,340,484,345,482)(238,544,322),
( 1,132,399, 11,142,379, 6,147,389, 16,127,384, 21,137,394)
( 2,134,396, 12,144,376, 7,149,386, 17,129,381, 22,139,391)
( 3,133,398, 13,143,378, 8,148,388, 18,128,383, 23,138,393)
( 4,131,397, 14,141,377, 9,146,387, 19,126,382, 24,136,392)
( 5,135,400, 15,145,380, 10,150,390, 20,130,385, 25,140,395)
( 26,157,424, 36,167,404, 31,172,414, 41,152,409, 46,162,419)
( 27,159,421, 37,169,401, 32,174,411, 42,154,406, 47,164,416)
( 28,158,423, 38,168,403, 33,173,413, 43,153,408, 48,163,418)
( 29,156,422, 39,166,402, 34,171,412, 44,151,407, 49,161,417)
( 30,160,425, 40,170,405, 35,175,415, 45,155,410, 50,165,420)
( 51,182,449, 61,192,429, 56,197,439, 66,177,434, 71,187,444)
( 52,184,446, 62,194,426, 57,199,436, 67,179,431, 72,189,441)
( 53,183,448, 63,193,428, 58,198,438, 68,178,433, 73,188,443)
( 54,181,447, 64,191,427, 59,196,437, 69,176,432, 74,186,442)
( 55,185,450, 65,195,430, 60,200,440, 70,180,435, 75,190,445)
( 76,232,474,111,217,479, 81,247,464,116,202,484, 96,237,469,101,207,
499, 86,242,454,106,222,489, 91,227,459,121,212,494)( 77,234,471,112,
219,476, 82,249,461,117,204,481, 97,239,466,102,209,496, 87,244,451,
107,224,486, 92,229,456,122,214,491)( 78,233,473,113,218,478, 83,248,
463,118,203,483, 98,238,468,103,208,498, 88,243,453,108,223,488, 93,
228,458,123,213,493)( 79,231,472,114,216,477, 84,246,462,119,201,482,
99,236,467,104,206,497, 89,241,452,109,221,487, 94,226,457,124,211,
492)( 80,235,475,115,220,480, 85,250,465,120,205,485,100,240,470,105,
210,500, 90,245,455,110,225,490, 95,230,460,125,215,495)
(251,507,274,511,267,504,256,522,264,516,252,509,271,512,269,501,257,
524,261,517,254,506,272,514,266,502,259,521,262,519)(253,508,273,513,
268,503,258,523,263,518)(255,510,275,515,270,505,260,525,265,520)
(276,532,299,536,292,529,281,547,289,541,277,534,296,537,294,526,282,
549,286,542,279,531,297,539,291,527,284,546,287,544)(278,533,298,538,
293,528,283,548,288,543)(280,535,300,540,295,530,285,550,290,545)
(301,557,324,561,317,554,306,572,314,566,302,559,321,562,319,551,307,
574,311,567,304,556,322,564,316,552,309,571,312,569)(303,558,323,563,
318,553,308,573,313,568)(305,560,325,565,320,555,310,575,315,570)
(326,607,349,611,342,604,331,622,339,616,327,609,346,612,344,601,332,
624,336,617,329,606,347,614,341,602,334,621,337,619)(328,608,348,613,
343,603,333,623,338,618)(330,610,350,615,345,605,335,625,340,620)
(351,582,374,586,367,579,356,597,364,591,352,584,371,587,369,576,357,
599,361,592,354,581,372,589,366,577,359,596,362,594)(353,583,373,588,
368,578,358,598,363,593)(355,585,375,590,370,580,360,600,365,595) ]
],
[ 29, 414720000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5)^4.D_16:2", [ "A", 5, 4 ],
[ ( 1, 48,164,185,302,368,486,400, 4, 33,162,195,301,373,489,385, 2, 43,
161,200,304,358,487,395)( 3, 38,165,180,303,363,490,380)
( 5, 28,163,190,305,353,488,390)( 6, 47,169,181,322,369,481,397, 19,
31,172,194,306,372,494,381, 22, 44,156,197,319,356,497,394)
( 7, 42,166,196,324,359,482,392, 16, 46,174,184,307,367,491,396, 24,
34,157,192,316,371,499,384)( 8, 37,170,176,323,364,485,377, 18, 36,
175,179,308,362,495,376, 23, 39,160,177,318,361,500,379)
( 9, 32,167,191,321,374,484,382, 17, 41,171,199,309,357,492,391, 21,
49,159,182,317,366,496,399)( 10, 27,168,186,325,354,483,387, 20, 26,
173,189,310,352,493,386, 25, 29,158,187,320,351,498,389)
( 11, 50,154,183,312,370,476,398, 14, 35,152,193,311,375,479,383, 12,
45,151,198,314,360,477,393)( 13, 40,155,178,313,365,480,378)
( 15, 30,153,188,315,355,478,388)( 51,298,239,435,252,118,411,150, 54,
283,237,445,251,123,414,135, 52,293,236,450,254,108,412,145)
( 53,288,240,430,253,113,415,130)( 55,278,238,440,255,103,413,140)
( 56,297,244,431,272,119,406,147, 69,281,247,444,256,122,419,131, 72,
294,231,447,269,106,422,144)( 57,292,241,446,274,109,407,142, 66,296,
249,434,257,117,416,146, 74,284,232,442,266,121,424,134)
( 58,287,245,426,273,114,410,127, 68,286,250,429,258,112,420,126, 73,
289,235,427,268,111,425,129)( 59,282,242,441,271,124,409,132, 67,291,
246,449,259,107,417,141, 71,299,234,432,267,116,421,149)
( 60,277,243,436,275,104,408,137, 70,276,248,439,260,102,418,136, 75,
279,233,437,270,101,423,139)( 61,300,229,433,262,120,401,148, 64,285,
227,443,261,125,404,133, 62,295,226,448,264,110,402,143)
( 63,290,230,428,263,115,405,128)( 65,280,228,438,265,105,403,138)
( 76,548,214,560,327,618,461,525, 79,533,212,570,326,623,464,510, 77,
543,211,575,329,608,462,520)( 78,538,215,555,328,613,465,505)
( 80,528,213,565,330,603,463,515)( 81,547,219,556,347,619,456,522, 94,
531,222,569,331,622,469,506, 97,544,206,572,344,606,472,519)
( 82,542,216,571,349,609,457,517, 91,546,224,559,332,617,466,521, 99,
534,207,567,341,621,474,509)( 83,537,220,551,348,614,460,502, 93,536,
225,554,333,612,470,501, 98,539,210,552,343,611,475,504)
( 84,532,217,566,346,624,459,507, 92,541,221,574,334,607,467,516, 96,
549,209,557,342,616,471,524)( 85,527,218,561,350,604,458,512, 95,526,
223,564,335,602,468,511,100,529,208,562,345,601,473,514)
( 86,550,204,558,337,620,451,523, 89,535,202,568,336,625,454,508, 87,
545,201,573,339,610,452,518)( 88,540,205,553,338,615,455,503)
( 90,530,203,563,340,605,453,513)(576,598,589,585,577,593,586,600,579,
583,587,595)(578,588,590,580)(581,597,594)(582,592,591,596,599,584),
( 1, 87,101, 90, 26, 89)( 2,112,105, 40, 29, 14)( 3, 62,103, 65, 28,
64)( 4, 12,102,115, 30, 39)( 5, 37,104, 15, 27,114)
( 6, 82,106, 85, 31, 84)( 7,107,110, 35, 34, 9)( 8, 57,108, 60,
33, 59)( 10, 32,109)( 11, 77,111, 80, 36, 79)( 13, 52,113, 55, 38,
54)( 16, 97,116,100, 41, 99)( 17,122,120, 50, 44, 24)
( 18, 72,118, 75, 43, 74)( 19, 22,117,125, 45, 49)( 20, 47,119, 25,
42,124)( 21, 92,121, 95, 46, 94)( 23, 67,123, 70, 48, 69)( 51, 88)
( 53, 63)( 56, 83)( 61, 78)( 66, 98)( 68, 73)( 71, 93)( 76, 86)
( 91, 96)(126,462,351,590,151,464,251,587,226,465,276,589)
(127,487,355,540,154,389,252,612,230,415,279,514)(128,437,353,565,153,
439,253,562,228,440,278,564)(129,387,352,615,155,414,254,512,227,490,
280,539)(130,412,354,515,152,489,255,537,229,390,277,614)
(131,457,356,585,156,459,256,582,231,460,281,584)(132,482,360,535,159,
384,257,607,235,410,284,509)(133,432,358,560,158,434,258,557,233,435,
283,559)(134,382,357,610,160,409,259,507,232,485,285,534)
(135,407,359,510,157,484,260,532,234,385,282,609)(136,452,361,580,161,
454,261,577,236,455,286,579)(137,477,365,530,164,379,262,602,240,405,
289,504)(138,427,363,555,163,429,263,552,238,430,288,554)
(139,377,362,605,165,404,264,502,237,480,290,529)(140,402,364,505,162,
479,265,527,239,380,287,604)(141,472,366,600,166,474,266,597,241,475,
291,599)(142,497,370,550,169,399,267,622,245,425,294,524)
(143,447,368,575,168,449,268,572,243,450,293,574)(144,397,367,625,170,
424,269,522,242,500,295,549)(145,422,369,525,167,499,270,547,244,400,
292,624)(146,467,371,595,171,469,271,592,246,470,296,594)
(147,492,375,545,174,394,272,617,250,420,299,519)(148,442,373,570,173,
444,273,567,248,445,298,569)(149,392,372,620,175,419,274,517,247,495,
300,544)(150,417,374,520,172,494,275,542,249,395,297,619)
(176,463,301,588)(177,488,305,538,179,388,302,613,180,413,304,513)
(178,438,303,563)(181,458,306,583)(182,483,310,533,184,383,307,608,
185,408,309,508)(183,433,308,558)(186,453,311,578)(187,478,315,528,
189,378,312,603,190,403,314,503)(188,428,313,553)(191,473,316,598)
(192,498,320,548,194,398,317,623,195,423,319,523)(193,448,318,573)
(196,468,321,593)(197,493,325,543,199,393,322,618,200,418,324,518)
(198,443,323,568)(201,461,326,586)(202,486,330,536,204,386,327,611,
205,411,329,511)(203,436,328,561)(206,456,331,581)(207,481,335,531,
209,381,332,606,210,406,334,506)(208,431,333,556)(211,451,336,576)
(212,476,340,526,214,376,337,601,215,401,339,501)(213,426,338,551)
(216,471,341,596)(217,496,345,546,219,396,342,621,220,421,344,521)
(218,446,343,571)(221,466,346,591)(222,491,350,541,224,391,347,616,
225,416,349,516)(223,441,348,566),
( 1,418, 65,171, 94,285, 22,404, 58,162, 76,293, 15,421, 69,160, 97,
279, 8,412, 51,168, 90,296, 19,410, 72,154, 83,287)( 2,403, 63,161,
91,295, 25,424, 59,157, 77,278, 13,411, 66,170,100,299, 9,407, 52,
153, 88,286, 16,420, 75,174, 84,282)( 3,413, 61,166, 95,300, 24,409,
57,152, 78,288, 11,416, 70,175, 99,284, 7,402, 53,163, 86,291, 20,
425, 74,159, 82,277)( 4,408, 62,151, 93,290, 21,419, 60,172, 79,283,
12,401, 68,165, 96,294, 10,422, 54,158, 87,276, 18,415, 71,169, 85,
297)( 5,423, 64,156, 92,280, 23,414, 56,167, 80,298, 14,406, 67,155,
98,289, 6,417, 55,173, 89,281, 17,405, 73,164, 81,292)
( 26, 43, 40, 46, 44, 35, 47, 29, 33, 37)( 27, 28, 38, 36, 41, 45, 50,
49, 34, 32)( 30, 48, 39, 31, 42)(101,543,115,546,119,535,122,529,108,
537)(102,528,113,536,116,545,125,549,109,532)(103,538,111,541,120,
550,124,534,107,527)(104,533,112,526,118,540,121,544,110,547)
(105,548,114,531,117,530,123,539,106,542)(126,468,315,146,469,310,147,
454,308,137,451,318,140,471,319,135,472,304,133,462,301,143,465,321,
144,460,322,129,458,312)(127,453,313,136,466,320,150,474,309,132,452,
303,138,461,316,145,475,324,134,457,302,128,463,311,141,470,325,149,
459,307)(130,473,314,131,467,305,148,464,306,142,455,323,139,456,317)
(176,218,340,271,394,435,197,204,333,262,376,443,190,221,344,260,397,
429,183,212,326,268,390,446,194,210,347,254,383,437)(177,203,338,261,
391,445,200,224,334,257,377,428,188,211,341,270,400,449,184,207,327,
253,388,436,191,220,350,274,384,432)(178,213,336,266,395,450,199,209,
332,252,378,438,186,216,345,275,399,434,182,202,328,263,386,441,195,
225,349,259,382,427)(179,208,337,251,393,440,196,219,335,272,379,433,
187,201,343,265,396,444,185,222,329,258,387,426,193,215,346,269,385,
447)(180,223,339,256,392,430,198,214,331,267,380,448,189,206,342,255,
398,439,181,217,330,273,389,431,192,205,348,264,381,442)
(226,593,365,521,494,560,247,579,358,512,476,568,240,596,369,510,497,
554,233,587,351,518,490,571,244,585,372,504,483,562)(227,578,363,511,
491,570,250,599,359,507,477,553,238,586,366,520,500,574,234,582,352,
503,488,561,241,595,375,524,484,557)(228,588,361,516,495,575,249,584,
357,502,478,563,236,591,370,525,499,559,232,577,353,513,486,566,245,
600,374,509,482,552)(229,583,362,501,493,565,246,594,360,522,479,558,
237,576,368,515,496,569,235,597,354,508,487,551,243,590,371,519,485,
572)(230,598,364,506,492,555,248,589,356,517,480,573,239,581,367,505,
498,564,231,592,355,523,489,556,242,580,373,514,481,567)
(601,618,615,621,619,610,622,604,608,612)(602,603,613,611,616,620,625,
624,609,607)(605,623,614,606,617) ] ],
[ 30, 414720000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5)^4.SA_16:2", [ "A", 5, 4 ],
[ ( 1,111,336,214,218,178,603,355,374,269, 69,566,565,600,150, 23)
( 2,106,286,464,217,183,528,480,372,259, 44,441,562,585,175,398)
( 3,101,361,339,219,193,553,605,375,274, 19, 66,561,590,225,148)
( 4,116,311,589,220,198,503,105,371,264, 94,191,563,580,250,273)
( 5,121,261, 89,216,188,578,230,373,254,119,316,564,595,200,523)
( 6, 36,461,212,208,153,478,352,359,294,444,567,560,550,400, 22)
( 7, 31,411,462,207,158,403,477,357,284,419,442,557,535,425,397)
( 8, 26,486,337,209,168,428,602,360,299,394, 67,556,540,475,147)
( 9, 41,436,587,210,173,378,102,356,289,469,192,558,530,500,272)
( 10, 46,386, 87,206,163,453,227,358,279,494,317,559,545,450,522)
( 11, 86,211,213,203,228,353,354,369,319,569,570,575,525, 25, 21)
( 12, 81,161,463,202,233,278,479,367,309,544,445,572,510, 50,396)
( 13, 76,236,338,204,243,303,604,370,324,519, 70,571,515,100,146)
( 14, 91,186,588,205,248,253,104,366,314,594,195,573,505,125,271)
( 15, 96,136, 88,201,238,328,229,368,304,619,320,574,520, 75,521)
( 16, 61,586,215,223,128,103,351,364,344,194,568,555,625,275, 24)
( 17, 56,536,465,222,133, 28,476,362,334,169,443,552,610,300,399)
( 18, 51,611,340,224,143, 53,601,365,349,144, 68,551,615,350,149)
( 20, 71,511, 90,221,138, 78,226,363,329,244,318,554,620,325,524)
( 27,481,287,459,167,433,527,485,297,384, 42,431,537,460,172,383)
( 29,491,312,584,170,448,502,110,296,389, 92,181,538,455,247,258)
( 30,496,262, 84,166,438,577,235,298,379,117,306,539,470,197,508)
( 32,406,412,457,157,408,402,482,282,409,417,432,532,410,422,382)
( 33,401,487,332,159,418,427,607,285,424,392, 57,531,415,472,132)
( 34,416,437,582,160,423,377,107,281,414,467,182,533,405,497,257)
( 35,421,387, 82,156,413,452,232,283,404,492,307,534,420,447,507)
( 37,456,162,458,152,483,277,484,292,434,542,435,547,385, 47,381)
( 38,451,237,333,154,493,302,609,295,449,517, 60,546,390, 97,131)
( 39,466,187,583,155,498,252,109,291,439,592,185,548,380,122,256)
( 40,471,137, 83,151,488,327,234,293,429,617,310,549,395, 72,506)
( 43,426,612,335,174,393, 52,606,290,474,142, 58,526,490,347,134)
( 45,446,512, 85,171,388, 77,231,288,454,242,308,529,495,322,509)
( 48,376,112,331,164,468,177,608,280,499,267, 59,541,440,597,135)
( 49,391, 62,581,165,473,127,108,276,489,342,184,543,430,622,260)
( 54,616,315,599,145, 73,501,115,346,139, 93,176,613,330,249,268)
( 55,621,265, 99,141, 63,576,240,348,129,118,301,614,345,199,518)
( 64,591,190,598,130,123,251,114,341,189,593,180,623,255,124,266)
( 65,596,140, 98,126,113,326,239,343,179,618,305,624,270, 74,516)
( 79,241,313,579,245,323,504,120,321,514, 95,196,513, 80,246,263),
( 1,330,510,601,365,514,479,415,549,497, 37, 99,457, 31,346,257)
( 2, 80,585,606,361,264,379,405,550,622,112, 89,459,406,296,272)
( 3,205,560,616,363,139,429,420,548,247, 62, 94,458,156,321,267)
( 4,455,535,621,362, 14,454,410,546,372, 12, 79,460,531,371,262)
( 5,580,610,611,364,389,404,425,547,122, 87, 84,456,281,271,252)
( 6,326,260,501,355,515,604,490,539,499,412, 49,472, 32, 96,332)
( 7, 76,335,506,351,265,504,480,540,624,487, 39,474,407, 46,347)
( 8,201,310,516,353,140,554,495,538,249,437, 44,473,157, 71,342)
( 9,451,285,521,352, 15,579,485,536,374,387, 29,475,532,121,337)
( 10,576,360,511,354,390,529,500,537,124,462, 34,471,282, 21,327)
( 11,329,385,526,375,512,104,465,534,496,287, 24,452, 35,596,357)
( 13,204,435,541,373,137, 54,470,533,246,312, 19,453,160,571,367)
( 16,328,135,551,370,513,229,440,544,498,162, 74,467, 33,221,307)
( 17, 78,210,556,366,263,129,430,545,623,237, 64,469,408,171,322)
( 18,203,185,566,368,138,179,445,543,248,187, 69,468,158,196,317)
( 20,578,235,561,369,388,154,450,542,123,212, 59,466,283,146,302)
( 22, 77, 85,581,356,261,254,380,530,625,612,114,464,409,421,297)
( 23,202, 60,591,358,136,304,395,528,250,562,119,463,159,446,292)
( 25,577,110,586,359,386,279,400,527,125,587,109,461,284,396,277)
( 26,350,507,101,340,509,476,290,524,477, 40,599,482, 36,349,382)
( 27,100,582,106,336,259,376,280,525,602,115,589,484,411,299,397)
( 28,225,557,116,338,134,426,295,523,227, 65,594,483,161,324,392)
( 30,600,607,111,339,384,401,300,522,102, 90,584,481,286,274,377)
( 38,224,432, 41,348,132, 51,345,508,226,315,519,478,165,574,492)
( 42, 98,207, 56,341,258,126,305,520,603,240,564,494,413,174,447)
( 43,223,182, 66,343,133,176,320,518,228,190,569,493,163,199,442)
( 45,598,232, 61,344,383,151,325,517,103,215,559,491,288,149,427)
( 47, 97, 82, 81,331,256,251,255,505,605,615,614,489,414,424,422)
( 48,222, 57, 91,333,131,301,270,503,230,565,619,488,164,449,417)
( 50,597,107, 86,334,381,276,275,502,105,590,609,486,289,399,402)
( 52, 95,583,231,311,269,378,155,575,617,113,214,434,416,298,147)
( 53,220,558,241,313,144,428,170,573,242, 63,219,433,166,323,142)
( 55,595,608,236,314,394,403,175,572,117, 88,209,431,291,273,127)
( 58,216,308,141,303,145,553,245,563,244,438,169,448,167, 73,217)
( 67, 93,208,181,316,268,128,180,570,618,238,189,444,418,173,197)
( 68,218,183,191,318,143,178,195,568,243,188,194,443,168,198,192)
( 70,593,233,186,319,393,153,200,567,118,213,184,441,293,148,177)
( 72, 92, 83,206,306,266,253,130,555,620,613,239,439,419,423,172)
( 75,592,108,211,309,391,278,150,552,120,588,234,436,294,398,152) ] ],
[ 31, 414720000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 32, 3 ] ], 1,
"Alt(5)^4.2^2:4:2", [ "A", 5, 4 ],
[ ( 1,163,100,532, 16,164, 80,533, 21,162, 95,534)( 2,168, 99,527, 18,174,
77,543, 24,152, 93,549)( 3,173, 97,542, 19,154, 78,548, 22,167, 94,
529)( 4,153, 98,547, 17,169, 79,528, 23,172, 92,544)
( 5,158, 96,537, 20,159, 76,538, 25,157, 91,539)( 6,161, 90,535)
( 7,166, 89,530, 8,171, 87,545, 9,151, 88,550)( 10,156, 86,540)
( 11,165, 85,531)( 12,170, 84,526, 13,175, 82,541, 14,155, 83,546)
( 15,160, 81,536)( 26, 38, 50, 32, 41, 39, 30, 33, 46, 37, 45, 34)
( 27, 43, 49)( 28, 48, 47, 42, 44, 29)( 31, 36, 40, 35)
( 51,413,125,282, 66,414,105,283, 71,412,120,284)( 52,418,124,277, 68,
424,102,293, 74,402,118,299)( 53,423,122,292, 69,404,103,298, 72,417,
119,279)( 54,403,123,297, 67,419,104,278, 73,422,117,294)
( 55,408,121,287, 70,409,101,288, 75,407,116,289)( 56,411,115,285)
( 57,416,114,280, 58,421,112,295, 59,401,113,300)( 60,406,111,290)
( 61,415,110,281)( 62,420,109,276, 63,425,107,291, 64,405,108,296)
( 65,410,106,286)(126,213,600,507,141,214,580,508,146,212,595,509)
(127,218,599,502,143,224,577,518,149,202,593,524)(128,223,597,517,144,
204,578,523,147,217,594,504)(129,203,598,522,142,219,579,503,148,222,
592,519)(130,208,596,512,145,209,576,513,150,207,591,514)
(131,211,590,510)(132,216,589,505,133,221,587,520,134,201,588,525)
(135,206,586,515)(136,215,585,506)(137,220,584,501,138,225,582,516,
139,205,583,521)(140,210,581,511)(176,463,625,257,191,464,605,258,
196,462,620,259)(177,468,624,252,193,474,602,268,199,452,618,274)
(178,473,622,267,194,454,603,273,197,467,619,254)(179,453,623,272,192,
469,604,253,198,472,617,269)(180,458,621,262,195,459,601,263,200,457,
616,264)(181,461,615,260)(182,466,614,255,183,471,612,270,184,451,
613,275)(185,456,611,265)(186,465,610,256)(187,470,609,251,188,475,
607,266,189,455,608,271)(190,460,606,261)(226,338,575,382,241,339,
555,383,246,337,570,384)(227,343,574,377,243,349,552,393,249,327,568,
399)(228,348,572,392,244,329,553,398,247,342,569,379)
(229,328,573,397,242,344,554,378,248,347,567,394)(230,333,571,387,245,
334,551,388,250,332,566,389)(231,336,565,385)(232,341,564,380,233,
346,562,395,234,326,563,400)(235,331,561,390)(236,340,560,381)
(237,345,559,376,238,350,557,391,239,330,558,396)(240,335,556,386)
(301,438,500,357,316,439,480,358,321,437,495,359)(302,443,499,352,318,
449,477,368,324,427,493,374)(303,448,497,367,319,429,478,373,322,442,
494,354)(304,428,498,372,317,444,479,353,323,447,492,369)
(305,433,496,362,320,434,476,363,325,432,491,364)(306,436,490,360)
(307,441,489,355,308,446,487,370,309,426,488,375)(310,431,486,365)
(311,440,485,356)(312,445,484,351,313,450,482,366,314,430,483,371)
(315,435,481,361), ( 1,454,422,521,584,282,266,219,162, 11, 79,402,
396,599,532,256,344,167,136, 89, 27,376,474,547,506,334,292,141,214,
37)( 2,379,424,546,581,332,267,144,164, 36, 76,452,397,524,534,281,
341,217,137, 14, 29,401,471,597,507,259,294,166,211, 87)
( 3,429,425,621,583,307,270,244,163, 61, 80,477,398,574,535,356,343,
192,140,114, 28,426,475,622,508,309,295,241,213, 62, 5,479,423,571,
585,357,268,194,165,111, 78,427,400,624,533,306,345,242,138, 64, 30,
476,473,572,510,359,293,191,215,112)( 4,404,421,596,582,257,269,169,
161, 86, 77,377,399,549,531,331,342,142,139, 39, 26,451,472,522,509,
284,291,216,212, 12)( 6,329,417,146,589, 32,251,469,172,511, 84,277,
391,224,537)( 7,254,419,171,586, 82,252,394,174,536, 81,327,392,149,
539, 31,326,467,147,514, 34,276,466,222,512, 9,279,416,221,587)
( 8,304,420,246,588, 57,255,494,173,561, 85,352,393,199,540,106,328,
442,150,614, 33,301,470,247,513, 59,280,491,223,562, 10,354,418,196,
590,107,253,444,175,611, 83,302,395,249,538, 56,330,492,148,564, 35,
351,468,197,515,109,278,441,225,612)( 13, 54,405,496,598,557,260,369,
168,186, 90,102,378,449,550,606,333,317,145,239, 38, 51,455,497,523,
559,285,366,218,187, 15,104,403,446,600,607,258,319,170,236, 88, 52,
380,499,548,556,335,367,143,189, 40,101,453,447,525,609,283,316,220,
237)( 16,204,412, 21,579,407,271,594,157,261, 94,152,386, 99,527,381,
349,542,131,339, 42,126,464, 47,501,459,297,516,209,287)
( 17,129,414, 46,576,457,272,519,159,286, 91,202,387, 24,529,406,346,
592,132,264, 44,151,461, 97,502,384,299,541,206,337)( 18,179,415,121,
578,432,275,619,158,311, 95,227,388, 74,530,481,348,567,135,364, 43,
176,465,122,503,434,300,616,208,312, 20,229,413, 71,580,482,273,569,
160,361, 93,177,390,124,528,431,350,617,133,314, 45,226,463, 72,505,
484,298,566,210,362)( 19,154,411, 96,577,382,274,544,156,336, 92,127,
389, 49,526,456,347,517,134,289, 41,201,462, 22,504,409,296,591,207,
262)( 23,554,410,371,593,182,265,119,153,436,100,602,383,324,545,231,
338, 67,130,489, 48,551,460,372,518,184,290,116,203,437, 25,604,408,
321,595,232,263, 69,155,486, 98,552,385,374,543,181,340,117,128,439,
50,601,458,322,520,234,288, 66,205,487)( 53,430,500,623,558,310,370,
243,188, 65,105,478,448,575,610,358,318,195,240,113)( 55,480,498,573,
560,360,368,193,190,115,103,428,450,625,608,308,320,245,238, 63)
( 58,305,495,248,563, 60,355,493,198,565,110,353,443,200,615,108,303,
445,250,613)( 68,180,490,123,553,435,375,618,183,315,120,228,438, 75,
605,483,323,570,235,363)( 70,230,488, 73,555,485,373,568,185,365,118,
178,440,125,603,433,325,620,233,313) ] ],
[ 32, 414720000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5)^4.(2 x D_8):2", [ "A", 5, 4 ],
[ ( 1, 30,290,261)( 2,405,288,136, 4,530,287,386, 3,155,289,511)
( 5,280,286, 11)( 6,105,300,336, 16, 55,285,361, 21, 80,295,311)
( 7,480,298,211, 19,555,282,486, 23,205,294,561)( 8,230,299,586, 17,
430,283,236, 24,580,292,436)( 9,605,297,461, 18,180,284,611, 22,455,
293,186)( 10,355,296, 86, 20,305,281,111, 25,330,291, 61)
( 12,380,278,161, 14,505,277,411, 13,130,279,536)( 15,255,276, 36)
( 26, 40,265,251)( 27,415,263,126, 29,540,262,376, 28,165,264,501)
( 31,115,275,326, 41, 65,260,351, 46, 90,270,301)( 32,490,273,201, 44,
565,257,476, 48,215,269,551)( 33,240,274,576, 42,440,258,226, 49,590,
267,426)( 34,615,272,451, 43,190,259,601, 47,465,268,176)
( 35,365,271, 76, 45,315,256,101, 50,340,266, 51)( 37,390,253,151, 39,
515,252,401, 38,140,254,526)( 52,410,363,146, 79,545,312,381,103,175,
339,516)( 53,160,364,521, 77,420,313,131,104,550,337,391)
( 54,535,362,396, 78,170,314,506,102,425,338,141)( 56,110,375,346, 91,
70,310,356,121,100,345,316)( 57,485,373,221, 94,570,307,481,123,225,
344,566)( 58,235,374,596, 92,445,308,231,124,600,342,441)
( 59,610,372,471, 93,195,309,606,122,475,343,191)( 60,360,371, 96, 95,
320,306,106,125,350,341, 66)( 62,385,353,171, 89,520,302,406,113,150,
329,541)( 63,135,354,546, 87,395,303,156,114,525,327,416)
( 64,510,352,421, 88,145,304,531,112,400,328,166)( 67,435,358,246, 99,
595,317,431,108,250,349,591)( 68,185,359,621, 97,470,318,181,109,625,
347,466)( 69,560,357,496, 98,220,319,556,107,500,348,216)
( 71, 85,370,321, 81,120,325,331,116, 75,335,366)( 72,460,368,196, 84,
620,322,456,118,200,334,616)( 73,210,369,571, 82,495,323,206,119,575,
332,491)( 74,585,367,446, 83,245,324,581,117,450,333,241)
(127,404,538,137,379,528,162,389,503,152,414,513)(128,154,539,512,377,
403,163,139,504,527,412,388)(129,529,537,387,378,153,164,514,502,402,
413,138)(132,479,548,212,394,553,157,489,523,202,419,563)
(133,229,549,587,392,428,158,239,524,577,417,438)(134,604,547,462,393,
178,159,614,522,452,418,188)(142,429,533,237,399,578,167,439,508,227,
424,588)(143,179,534,612,397,453,168,189,509,602,422,463)
(144,554,532,487,398,203,169,564,507,477,423,213)(147,454,543,187,384,
603,172,464,518,177,409,613)(148,204,544,562,382,478,173,214,519,552,
407,488)(149,579,542,437,383,228,174,589,517,427,408,238)
(182,484,623,222,469,568)(183,234,624,597,467,443)(184,609,622,472,
468,193)(192,434,608,247,474,593)(194,559,607,497,473,218)
(197,459,618)(198,209,619,572,457,493)(199,584,617,447,458,243)
(207,494,573)(208,244,574,582,492,448)(217,444,558,232,499,598)
(219,569,557,482,498,223)(224,594,567,432,483,248)(233,249,599,592,
442,433)(242,449,583),
( 1,247,253,240,318,465,569,456,549, 6,172, 3,237,303,490,319,460,
544, 81,547)( 2,227,353,365,320,470,594,581,546, 21,147,128,238,313,
440,444,459,534, 31, 47)( 4,232,278,115,317,455,619,331,550, 16,222,
503,236,323,390,194,458,539, 56,422)( 5,242,328,615,316,475,519,206,
548, 11,197,378,239,308,415, 69,457,529,106,297)( 7,152,103,362,305,
495,344,585,541, 96,522,126,248,263,190,443,464,559,406, 49)
( 8,162, 53,487,304,485,294, 85,542, 76,622,251,250,268,215,568,461,
574,381,174)( 9,157, 28,112,302,480,369,335,545, 91,597,501,246,273,
140,193,463,564,431,424)( 10,167, 78,612,301,500,269,210,543, 86,572,
376,249,258,165, 68,462,554,481,299)( 12,177,478,364,310,420, 94,582,
526,121,272,130,243,338,565,441,474,509,156, 48)( 13,187,428,489,309,
410, 44, 82,527,101,372,255,245,343,590,566,471,524,131,173)
( 14,182,403,114,307,405,119,332,530,116,347,505,241,348,515,191,473,
514,181,423)( 15,192,453,614,306,425, 19,207,528,111,322,380,244,333,
540, 66,472,504,231,298)( 17,202,603,361,325,395,219,583,536, 71,397,
129,233,288, 65,442,454,609,281, 50)( 18,212,553,486,324,385,169, 83,
537, 51,497,254,235,293, 90,567,451,624,256,175)( 20,217,578,611,321,
400,144,208,538, 61,447,379,234,283, 40, 67,452,604,356,300)
( 22,127,228,363,315,445,469,584,531, 46)( 23,137,178,488,314,435,419,
84,532, 26,122,252,230,368,340,570,466,599,506,171)( 24,132,153,113,
312,430,494,334,535, 41, 97,502,226,373,265,195,468,589,556,421)
( 25,142,203,613,311,450,394,209,533, 36, 72,377,229,358,290, 70,467,
579,606,296)( 27,102,352,355,370,345,595,591,596,521,146,148,138,188,
438,439,434,409, 34, 32)( 29,107,277,105,367,330,620,341,600,516,221,
523,136,198,388,189,433,414, 59,407)( 30,117,327,605,366,350,520,216,
598,511,196,398,139,183,413, 64,432,404,109,282)( 33, 37, 52,477,354,
360,295, 95,592,576,621,271,150,143,213,563,436,449,384,159)
( 35, 42, 77,602,351,375,270,220,593,586,571,396,149,133,163, 63,437,
429,484,284)( 38, 62,427,479,359,285, 45, 92,577,601,371,275,145,218,
588,561,446,399,134,158)( 39, 57,402,104,357,280,120,342,580,616,346,
525,141,223,513,186,448,389,184,408)( 43, 87,552,476,374,260,170, 93,
587,551,496,274,135,168, 88,562,426,499,259,160)( 54,482,279,110,292,
80,617,326,625,266,225,518,211,573,386,199,383,164, 58,412)
( 55,492,329,610,291,100,517,201,623,261,200,393,214,558,411, 74,382,
154,108,287)( 60,417, 79,607,276,125,267,205,618,336,575,391,224,508,
161, 73,387,179,483,289)( 75,392,204,608,286)( 89,557,401,124,257,
155,118,337,555,491,349,510,166, 98,512,176,498,264,185,418)
( 99,507,151,123,262,180,493,339,560,416),
( 1,584,355,546,202,565, 28,507,304,623,126,589,105,531,327,575,153,
512, 54,608,251,599,230,536, 77,560,278,522,179,613)( 2,559,353,521,
204,615, 26,582,305,548,127,564,103,506,329,625,151,587, 55,533,252,
574,228,511, 79,610,276,597,180,538)( 3,509,354,621,201,590, 30,532,
302,573,128,514,104,606,326,600,155,537, 52,558,253,524,229,611, 76,
585,280,547,177,563)( 4,609,351,596,205,540, 27,557,303,523,129,614,
101,581,330,550,152,562, 53,508,254,624,226,586, 80,535,277,572,178,
513)( 5,534,352,571,203,515, 29,607,301,598,130,539,102,556,328,525,
154,612, 51,583,255,549,227,561, 78,510,279,622,176,588)
( 6,334,375,171,212, 65, 33,257,324,248,136, 89,110,281,347,200,163,
12, 59,358,271,224,240, 36, 82,310,298,147,189,113)( 7,309,373,146,
214,115, 31,332,325,173,137, 64,108,256,349,250,161, 87, 60,283,272,
199,238, 11, 84,360,296,222,190, 38)( 8,259,374,246,211, 90, 35,282,
322,198,138, 14,109,356,346,225,165, 37, 57,308,273,149,239,111, 81,
335,300,172,187, 63)( 9,359,371,221,215, 40, 32,307,323,148,139,114,
106,331,350,175,162, 62, 58,258,274,249,236, 86, 85,285,297,197,188,
13)( 10,284,372,196,213, 15, 34,357,321,223,140, 39,107,306,348,150,
164,112, 56,333,275,174,237, 61, 83,260,299,247,186, 88)
( 16,459,370,421,217,440, 43,382,319,498,141,464,120,406,342,450,168,
387, 69,483,266,474,245,411, 92,435,293,397,194,488)( 17,434,368,396,
219,490, 41,457,320,423,142,439,118,381,344,500,166,462, 70,408,267,
449,243,386, 94,485,291,472,195,413)( 18,384,369,496,216,465, 45,407,
317,448,143,389,119,481,341,475,170,412, 67,433,268,399,244,486, 91,
460,295,422,192,438)( 19,484,366,471,220,415, 42,432,318,398,144,489,
116,456,345,425,167,437, 68,383,269,499,241,461, 95,410,292,447,193,
388)( 20,409,367,446,218,390, 44,482,316,473,145,414,117,431,343,400,
169,487, 66,458,270,424,242,436, 93,385,294,497,191,463)
( 21,209,365, 46,207,315, 48,132,314,123,131,339,125,156,337, 75,158,
262, 74,233,261, 99,235,286, 97,185,288, 22,184,363)( 23,134,364,121,
206,340, 50,157,312, 73,133,264,124,231,336,100,160,287, 72,183,263,
24,234,361, 96,210,290, 47,182,313)( 25,159,362, 71,208,265, 49,232,
311, 98,135,289,122,181,338)(376,594,480,541,452,570,403,517,429,618)
(377,569,478,516,454,620,401,592,430,543)(378,519,479,616,451,595,405,
542,427,568)(379,619,476,591,455,545,402,567,428,518)
(380,544,477,566,453,520,404,617,426,593)(391,469,495,416,467,445,418,
392,444,493)(393,394,494,491,466,470,420,417,442,443)
(395,419,492,441,468)(501,579,605,526,577,555,528,502,554,603)
(503,504,604,601,576,580,530,527,552,553)(505,529,602,551,578) ] ],
[ 33, 414720000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5)^4.2^2:4:2", [ "A", 5, 4 ],
[ ( 1,259,350,216,182, 55, 19,272,326,209,200, 66, 7,255,344,222,176, 59,
25,266,332,205,194, 72)( 2,254,349,221,181, 60, 20,267,327,204,199,
71, 6,260,345,217,177, 54, 24,271,331,210,195, 67)( 3,264,348,211,
183, 65, 18,262,328,214,198, 61, 8,265,343,212,178, 64, 23,261,333,
215,193, 62)( 4,274,346,206,185, 70, 17,252,329,224,196, 56, 10,270,
342,202,179, 74, 21,256,335,220,192, 52)( 5,269,347,201,184, 75, 16,
257,330,219,197, 51, 9,275,341,207,180, 69, 22,251,334,225,191, 57)
( 11,258,340,218,187, 53, 14,273,336,208,190, 68, 12,253,339,223,186,
58, 15,268,337,203,189, 73)( 13,263,338,213,188, 63)
( 26,384,375,591,157,430,119,522,276,459,250,566, 32,380,369,597,151,
434,125,516,282,455,244,572)( 27,379,374,596,156,435,120,517,277,454,
249,571, 31,385,370,592,152,429,124,521,281,460,245,567)
( 28,389,373,586,158,440,118,512,278,464,248,561, 33,390,368,587,153,
439,123,511,283,465,243,562)( 29,399,371,581,160,445,117,502,279,474,
246,556, 35,395,367,577,154,449,121,506,285,470,242,552)
( 30,394,372,576,159,450,116,507,280,469,247,551, 34,400,366,582,155,
444,122,501,284,475,241,557)( 36,383,365,593,162,428,114,523,286,458,
240,568, 37,378,364,598,161,433,115,518,287,453,239,573)
( 38,388,363,588,163,438,113,513,288,463,238,563)( 39,398,361,583,165,
443,112,503,289,473,236,558, 40,393,362,578,164,448,111,508,290,468,
237,553)( 41,382,355,594,172,426,109,525,291,457,230,569, 47,376,359,
600,166,432,105,519,297,451,234,575)( 42,377,354,599,171,431,110,520,
292,452,229,574, 46,381,360,595,167,427,104,524,296,456,235,570)
( 43,387,353,589,173,436,108,515,293,462,228,564, 48,386,358,590,168,
437,103,514,298,461,233,565)( 44,397,351,584,175,441,107,505,294,472,
226,559, 50,391,357,580,169,447,101,509,300,466,232,555)
( 45,392,352,579,174,446,106,510,295,467,227,554, 49,396,356,585,170,
442,102,504,299,471,231,560)( 76,134,325, 91,132,305, 94,147,301, 84,
150,316, 82,130,319, 97,126,309,100,141,307, 80,144,322)
( 77,129,324, 96,131,310, 95,142,302, 79,149,321, 81,135,320, 92,127,
304, 99,146,306, 85,145,317)( 78,139,323, 86,133,315, 93,137,303, 89,
148,311, 83,140,318, 87,128,314, 98,136,308, 90,143,312)( 88,138,313)
(401,484,625,541,407,480,619,547)(402,479,624,546,406,485,620,542)
(403,489,623,536,408,490,618,537)(404,499,621,531,410,495,617,527)
(405,494,622,526,409,500,616,532)(411,483,615,543,412,478,614,548)
(413,488,613,538)(414,498,611,533,415,493,612,528)(416,482,605,544,
422,476,609,550)(417,477,604,549,421,481,610,545)(418,487,603,539,
423,486,608,540)(419,497,601,534,425,491,607,530)(420,492,602,529,
424,496,606,535), ( 1,143,308,426, 16,133,303,441, 6,128,318,431)
( 2,168,309,476, 20,208,302,416, 9,228,320,456)( 3,193,306,376, 18,
183,301,391, 8,178,316,381)( 4,243,310,451, 17,158,304,491, 10,203,
317,406)( 5,218,307,401, 19,233,305,466, 7,153,319,481)
( 11,138,313,436)( 12,163,314,486, 15,213,312,411, 14,238,315,461)
( 13,188,311,386)( 21,148,323,446)( 22,173,324,496, 25,223,322,421,
24,248,325,471)( 23,198,321,396)( 26,144,358,430, 91,132,278,444,
106,130,343,432)( 27,169,359,480, 95,207,277,419,109,230,345,457)
( 28,194,356,380, 93,182,276,394,108,180,341,382)( 29,244,360,455, 92,
157,279,494,110,205,342,407)( 30,219,357,405, 94,232,280,469,107,155,
344,482)( 31,129,368,435, 76,142,283,429,116,135,328,442)
( 32,154,369,485, 80,217,282,404,119,235,330,467)( 33,179,366,385, 78,
192,281,379,118,185,326,392)( 34,229,370,460, 77,167,284,479,120,210,
327,417)( 35,204,367,410, 79,242,285,454,117,160,329,492)
( 36,139,363,440, 86,137,288,439,111,140,338,437)( 37,164,364,490, 90,
212,287,414,114,240,340,462)( 38,189,361,390, 88,187,286,389,113,190,
336,387)( 39,239,365,465, 87,162,289,489,115,215,337,412)
( 40,214,362,415, 89,237,290,464,112,165,339,487)( 41,134,353,445, 81,
127,293,434,101,145,333,427)( 42,159,354,495, 85,202,292,409,104,245,
335,452)( 43,184,351,395, 83,177,291,384,103,195,331,377)
( 44,234,355,470, 82,152,294,484,105,220,332,402)( 45,209,352,420, 84,
227,295,459,102,170,334,477)( 46,149,373,450, 96,147,298,449,121,150,
348,447)( 47,174,374,500,100,222,297,424,124,250,350,472)
( 48,199,371,400, 98,197,296,399,123,200,346,397)( 49,249,375,475, 97,
172,299,499,125,225,347,422)( 50,224,372,425, 99,247,300,474,122,175,
349,497)( 51,141,258,428, 66,131,253,443, 56,126,268,433)
( 52,166,259,478, 70,206,252,418, 59,226,270,458)( 53,191,256,378, 68,
181,251,393, 58,176,266,383)( 54,241,260,453, 67,156,254,493, 60,201,
267,408)( 55,216,257,403, 69,231,255,468, 57,151,269,483)
( 61,136,263,438)( 62,161,264,488, 65,211,262,413, 64,236,265,463)
( 63,186,261,388)( 71,146,273,448)( 72,171,274,498, 75,221,272,423,
74,246,275,473)( 73,196,271,398)(501,518,558,551,516,508,553,566,
506,503,568,556)(502,543,559,601,520,583,552,541,509,603,570,581)
(504,618,560,576,517,533,554,616,510,578,567,531)(505,593,557,526,519,
608,555,591,507,528,569,606)(511,513,563,561)(512,538,564,611,515,
588,562,536,514,613,565,586)(521,523,573,571)(522,548,574,621,525,
598,572,546,524,623,575,596)(527,544,609,605,595,582)
(529,619,610,580,592,532)(530,594,607)(534,604,620,585,577,542)
(535,579,617)(537,539,614,615,590,587)(540,589,612)(545,584,602)
(547,549,624,625,600,597)(550,599,622) ] ],
[ 34, 414720000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 32, 3 ] ], 1,
"Alt(5)^4.2^3:2^2", [ "A", 5, 4 ],
[ ( 1,308,516,335,396,359)( 2,313,517,340,397,364)( 3,318,520,350,399,354
)( 4,303,518,345,400,374)( 5,323,519,330,398,369)( 6,306,506,331,
381,356)( 7,311,507,336,382,361)( 8,316,510,346,384,351)
( 9,301,508,341,385,371)( 10,321,509,326,383,366)( 11,307,511,332,
386,357)( 12,312,512,337,387,362)( 13,317,515,347,389,352)
( 14,302,513,342,390,372)( 15,322,514,327,388,367)( 16,310,521,334,
376,358)( 17,315,522,339,377,363)( 18,320,525,349,379,353)
( 19,305,523,344,380,373)( 20,325,524,329,378,368)( 21,309,501,333,
391,360)( 22,314,502,338,392,365)( 23,319,505,348,394,355)
( 24,304,503,343,395,375)( 25,324,504,328,393,370)( 26,183,541,210,
421,234)( 27,188,542,215,422,239)( 28,193,545,225,424,229)
( 29,178,543,220,425,249)( 30,198,544,205,423,244)( 31,181,531,206,
406,231)( 32,186,532,211,407,236)( 33,191,535,221,409,226)
( 34,176,533,216,410,246)( 35,196,534,201,408,241)( 36,182,536,207,
411,232)( 37,187,537,212,412,237)( 38,192,540,222,414,227)
( 39,177,538,217,415,247)( 40,197,539,202,413,242)( 41,185,546,209,
401,233)( 42,190,547,214,402,238)( 43,195,550,224,404,228)
( 44,180,548,219,405,248)( 45,200,549,204,403,243)( 46,184,526,208,
416,235)( 47,189,527,213,417,240)( 48,194,530,223,419,230)
( 49,179,528,218,420,250)( 50,199,529,203,418,245)( 51,558,591,460,
496,109)( 52,563,592,465,497,114)( 53,568,595,475,499,104)
( 54,553,593,470,500,124)( 55,573,594,455,498,119)( 56,556,581,456,
481,106)( 57,561,582,461,482,111)( 58,566,585,471,484,101)
( 59,551,583,466,485,121)( 60,571,584,451,483,116)( 61,557,586,457,
486,107)( 62,562,587,462,487,112)( 63,567,590,472,489,102)
( 64,552,588,467,490,122)( 65,572,589,452,488,117)( 66,560,596,459,
476,108)( 67,565,597,464,477,113)( 68,570,600,474,479,103)
( 69,555,598,469,480,123)( 70,575,599,454,478,118)( 71,559,576,458,
491,110)( 72,564,577,463,492,115)( 73,569,580,473,494,105)
( 74,554,578,468,495,125)( 75,574,579,453,493,120)( 76,433,616, 85,
446,609)( 77,438,617, 90,447,614)( 78,443,620,100,449,604)
( 79,428,618, 95,450,624)( 80,448,619)( 81,431,606)( 82,436,607, 86,
432,611)( 83,441,610, 96,434,601)( 84,426,608, 91,435,621)
( 87,437,612)( 88,442,615, 97,439,602)( 89,427,613, 92,440,622)
( 93,445,625, 99,429,603)( 94,430,623)( 98,444,605)(126,283,141,285,
146,284)(127,288,142,290,147,289)(128,293,145,300,149,279)
(129,278,143,295,150,299)(130,298,144,280,148,294)(131,281)(132,286)
(133,291,135,296,134,276)(136,282)(137,287)(138,292,140,297,139,277)
(151,158,166,160,171,159)(152,163,167,165,172,164)(153,168,170,175,
174,154)(155,173,169)(157,161)(251,258,266,260,271,259)
(252,263,267,265,272,264)(253,268,270,275,274,254)(255,273,269)
(257,261), ( 1,417,236,280,431, 38,341,159)( 2,492,240,305,433, 88,
344,134)( 3,467,239,255,432,113,345,184)( 4,392,237,355,435, 63,
343,209)( 5,442,238,330,434, 13,342,234)( 6, 42,241,155,426,413,
336,284)( 7,117,245,180,428,463,339,259)( 8, 92,244,130,427,488,
340,309)( 9, 17,242,230,430,438,338,334)( 10, 67,243,205,429,388,
337,359)( 11,292,231, 30,441,163,326,409)( 12,367,235, 55,443,213,
329,384)( 14,267,232,105,445,188,328,459)( 15,317,233, 80,444,138,
327,484)( 16,167,226,405,436,288,331, 34)( 18,217,229,380,437,363,
335, 59)( 19,142,227,480,440,313,333, 84)( 20,192,228,455,439,263,
332,109)( 21,542,246,530,446,538,346,534)( 22,617,250,555,448,588,
349,509)( 23,592,249,505,447,613,350,559)( 24,517,247,605,450,563,
348,584)( 25,567,248,580,449,513,347,609)( 26,416,161,276,406, 36,
291,156)( 27,491,165,301,408, 86,294,131)( 28,466,164,251,407,111,
295,181)( 29,391,162,351,410, 61,293,206)( 31, 41,166,151,401,411,
286,281)( 32,116,170,176,403,461,289,256)( 33, 91,169,126,402,486,
290,306)( 35, 66,168,201,404,386,287,356)( 37,366,160, 51,418,211,
279,381)( 39,266,157,101,420,186,278,456)( 40,316,158, 76,419,136,
277,481)( 43,216,154,376,412,361,285, 56)( 44,141,152,476,415,311,
283, 81)( 45,191,153,451,414,261,282,106)( 46,541,171,526,421,536,
296,531)( 47,616,175,551,423,586,299,506)( 48,591,174,501,422,611,
300,556)( 49,516,172,601,425,561,298,581)( 50,566,173,576,424,511,
297,606)( 52,493,215,304,383, 87,369,135)( 53,468,214,254,382,112,
370,185)( 54,393,212,354,385, 62,368,210)( 57,118,220,179,378,462,
364,260)( 58, 93,219,129,377,487,365,310)( 60, 68,218,204,379,387,
362,360)( 64,268,207,104,395,187,353,460)( 65,318,208, 79,394,137,
352,485)( 69,143,202,479,390,312,358, 85)( 70,193,203,454,389,262,
357,110)( 71,543,221,529,396,537,371,535)( 72,618,225,554,398,587,
374,510)( 73,593,224,504,397,612,375,560)( 74,518,222,604,400,562,
373,585)( 75,568,223,579,399,512,372,610)( 77,494,140,302,483, 90,
319,133)( 78,469,139,252,482,115,320,183)( 82,119,145,177,478,465,
314,258)( 83, 94,144,127,477,490,315,308)( 89,269,132,102,495,190,
303,458)( 95,194,128,452,489,265,307,108)( 96,544,146,527,496,540,
321,533)( 97,619,150,552,498,590,324,508)( 98,594,149,502,497,615,
325,558)( 99,519,147,602,500,565,323,583)(100,569,148,577,499,515,
322,608)(103,470,189,253,457,114,270,182)(107,120,195,178,453,464,
264,257)(121,545,196,528,471,539,271,532)(122,620,200,553,473,589,
274,507)(123,595,199,503,472,614,275,557)(124,520,197,603,475,564,
273,582)(125,570,198,578,474,514,272,607)(521,547,621,550,571,548,
596,549)(522,622,625,575,573,598,599,524)(523,597,624,525,572,623,
600,574), ( 1,422,581, 39,321,543,136,277,466,159, 51,423,506, 37,
346,544,186,278,391,157, 76,424,556, 38,271,542,211,279,441,158)
( 2,472,584, 64,323,518,137,327,469,184, 53,398,507, 87,349,569,188,
253,392,207, 79,449,558, 13,272,592,214,304,443,133)( 3,397,582, 89,
324,568,138,252,467,209, 54,448,508, 12,347,594,189,303,393,132, 77,
474,559, 63,273,517,212,329,444,183)( 4,447,583, 14,322,593,139,302,
468,134, 52,473,509, 62,348,519,187,328,394,182, 78,399,557, 88,274,
567,213,254,442,208)( 5,497,585,114,325,618,140,352,470,234, 55,498,
510,112,350,619,190,353,395,232, 80,499,560,113,275,617,215,354,445,
233)( 6, 47,596,539,311,293,141,152,451,409, 56, 48,521,537,336,294,
191,153,376,407, 81, 49,571,538,261,292,216,154,426,408)
( 7, 97,599,564,313,268,142,202,454,434, 58, 23,522,587,339,319,193,
128,377,457, 84, 74,573,513,262,342,219,179,428,383)( 8, 22,597,589,
314,318,143,127,452,459, 59, 73,523,512,337,344,194,178,378,382, 82,
99,574,563,263,267,217,204,429,433)( 9, 72,598,514,312,343,144,177,
453,384, 57, 98,524,562,338,269,192,203,379,432, 83, 24,572,588,264,
317,218,129,427,458)( 10,122,600,614,315,368,145,227,455,484, 60,123,
525,612,340,369,195,228,380,482, 85,124,575,613,265,367,220,229,430,
483)( 11,297,591,164,301,418,131, 27,471,534, 61,298,516,162,326,419,
181, 28,396,532, 86,299,566,163,251,417,206, 29,446,533)
( 15,372,595,239,305,493,135,102,475,609, 65,373,520,237,330,494,185,
103,400,607, 90,374,570,238,255,492,210,104,450,608)( 16,172,576,414,
306, 43,146,527,461,284, 66,173,501,412,331, 44,196,528,386,282, 91,
174,551,413,256, 42,221,529,436,283)( 17,222,579,439,308, 18,147,577,
464,309, 68,148,502,462,334, 69,198,503,387,332, 94,199,553,388,257,
92,224,554,438,258)( 19,197,578,389,307, 93,149,552,463,259, 67,223,
504,437,333)( 20,247,580,489,310,118,150,602,465,359, 70,248,505,487,
335,119,200,603,390,357, 95,249,555,488,260,117,225,604,440,358)
( 21,547,586,289,316,168,126,402,456, 34, 71,548,511,287,341,169,176,
403,381, 32, 96,549,561,288,266,167,201,404,431, 33)( 25,622,590,364,
320,243,130,477,460,109, 75,623,515,362,345,244,180,478,385,107,100,
624,565,363,270,242,205,479,435,108)( 26,421,531, 36,296,541,161,276,
416,156)( 30,496,535,111,300,616,165,351,420,231)( 31, 46,546,536,
286,291,166,151,401,406)( 35,121,550,611,290,366,170,226,405,481)
( 40,371,545,236,280,491,160,101,425,606)( 41,171,526,411,281)
( 45,246,530,486,285,116,175,601,415,356)( 50,621,540,361,295,241,155,
476,410,106)(105,500,610,115,375,620,240,355,495,235)
(110,125,625,615,365,370,245,230,480,485)(120,250,605,490,360),
( 1,417)( 2, 42)( 3,542)( 4,167, 5,292)( 6,492)( 7,117)( 8,617)
( 9,242, 10,367)( 11,467, 21,442)( 12, 92, 22, 67)( 13,592, 23,567)
( 14,217, 25,317)( 15,342, 24,192)( 16,392)( 18,517)( 19,142, 20,267)
( 26,402)( 28,527)( 29,152, 30,277)( 31,477)( 32,102)( 33,602)
( 34,227, 35,352)( 36,452, 46,427)( 37, 77, 47, 52)( 38,577, 48,552)
( 39,202, 50,302)( 40,327, 49,177)( 41,377)( 43,502)( 44,127, 45,252)
( 51,412, 76,422)( 53,537, 78,547)( 54,162, 80,297)( 55,287, 79,172)
( 56,487, 81,497)( 57,112, 82,122)( 58,612, 83,622)( 59,237, 85,372)
( 60,362, 84,247)( 61,462, 96,447)( 62, 87, 97, 72)( 63,587, 98,572)
( 64,212,100,322)( 65,337, 99,197)( 66,387, 91,397)( 68,512, 93,522)
( 69,137, 95,272)( 70,262, 94,147)( 71,437, 86,472)( 73,562, 88,597)
( 74,187, 90,347)( 75,312, 89,222)(101,407)(103,532)(104,157,105,282)
(106,482)(108,607)(109,232,110,357)(111,457,121,432)(113,582,123,557)
(114,207,125,307)(115,332,124,182)(116,382)(118,507)(119,132,120,257)
(126,420,251,419)(128,545,253,544)(129,170,255,294)(130,295,254,169)
(131,495,256,494)(133,620,258,619)(134,245,260,369)(135,370,259,244)
(136,470,271,444)(138,595,273,569)(139,220,275,319)(140,345,274,194)
(141,395,266,394)(143,520,268,519)(144,145,270,269)(146,445,261,469)
(148,570,263,594)(149,195,265,344)(150,320,264,219)(151,405,276,404)
(153,530,278,529)(154,155,280,279)(156,480,281,479)(158,605,283,604)
(159,230,285,354)(160,355,284,229)(161,455,296,429)(163,580,298,554)
(164,205,300,304)(165,330,299,179)(166,380,291,379)(168,505,293,504)
(171,430,286,454)(173,555,288,579)(174,180,290,329)(175,305,289,204)
(176,415,326,424)(178,540,328,549)(181,490,331,499)(183,615,333,624)
(184,240,335,374)(185,365,334,249)(186,465,346,449)(188,590,348,574)
(189,215,350,324)(190,340,349,199)(191,390,341,399)(193,515,343,524)
(196,440,336,474)(198,565,338,599)(200,315,339,224)(201,425,301,414)
(203,550,303,539)(206,500,306,489)(208,625,308,614)(209,250,310,364)
(210,375,309,239)(211,475,321,439)(213,600,323,564)(214,225,325,314)
(216,400,316,389)(218,525,318,514)(221,450,311,464)(223,575,313,589)
(226,410,351,409)(228,535,353,534)(231,485,356,484)(233,610,358,609)
(234,235,360,359)(236,460,371,434)(238,585,373,559)(241,385,366,384)
(243,510,368,509)(246,435,361,459)(248,560,363,584)(376,416)(378,541)
(381,491)(383,616)(386,466,396,441)(388,591,398,566)(393,516)(403,526)
(406,476)(408,601)(411,451,421,426)(413,576,423,551)(418,501)
(428,536,453,546)(431,486,456,496)(433,611,458,621)(436,461,471,446)
(438,586,473,571)(443,511,468,521)(448,561,463,596)(478,531)(483,606)
(488,581,498,556)(493,506)(503,543)(508,618)(513,593,523,568)(533,603)
(538,578,548,553)(558,613,583,623)(563,588,598,573) ] ],
[ 35, 414720000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5)^4.SA_16:2", [ "A", 5, 4 ],
[ ( 1,373,531, 97,168, 60,463,134,330,236,525,287, 16,323,406, 99,153,110,
588,132,345,186,400,289)( 2,368,556,472,169, 55,488,509,327,241,575,
412, 19,303,481,599,152,120,563,382,344,176,500,539)( 3,358,581,222,
170, 65,388,259,326,246,550, 37, 18,308,456,224,155,115,513,257,341,
196,425, 39)( 4,353,606,597,167, 70,438,384,329,226,625,537, 17,318,
431,474,154,105,613,507,342,191,450,414)( 5,363,506,347,166, 75,413,
9,328,231,600,162, 20,313,381,349,151,125,538, 7,343,181,475,164)
( 6,348,156,100,163, 10,338,131,350,161, 25,288)( 8,333,206,225,165,
15,263,256,346,171, 50, 38)( 11,273,281, 96,173, 35, 88,133,335,211,
150,290)( 12,268,306,471,174, 30,113,508,332,216,200,415, 14,253,356,
596,172, 45, 63,383,334,201,250,540)( 13,258,331,221,175, 40)
( 21,298, 31, 98,158, 85,213,135,340,136,275,286)( 22,293, 56,473,159,
80,238,510,337,141,325,411, 24,278,106,598,157, 95,188,385,339,126,
375,536)( 23,283, 81,223,160, 90,138,260,336,146,300, 36)
( 26,123,533, 82,218,185,465,139,255,361,521,297, 41, 73,408, 84,203,
235,590,137,270,311,396,299)( 27,118,558,457,219,180,490,514,252,366,
571,422, 44, 53,483,584,202,245,565,387,269,301,496,549)
( 28,108,583,207,220,190,390,264,251,371,546, 47, 43, 58,458,209,205,
240,515,262,266,321,421, 49)( 29,103,608,582,217,195,440,389,254,351,
621,547, 42, 68,433,459,204,230,615,512,267,316,446,424)
( 32, 93,183,460,214,130,365,511,272,291, 71,423, 34, 78,233,585,212,
145,315,386,274,276,121,548)( 33, 83,208,210,215,140,265,261,271,296,
46, 48)( 51,498,534, 77,243,560,462,144,305,486,524,277,116,573,407,
94,178,485,589,127,370,561,397,294)( 52,493,559,452,244,555,487,519,
302,491,574,402,119,553,482,594,177,495,564,377,369,551,497,544)
( 54,478,609,577,242,570,437,394,304,476,624,527,117,568,432,469,179,
480,614,502,367,566,447,419)( 57,468,184,455,239,505,362,516,322,416,
74,403,109,578,232,595,187,395,314,376,374,526,122,543)
( 59,453,234,580,237,520,312,391,324,401,124,528,107,593,182,470,189,
380,364,501,372,541, 72,418)( 61,398,284, 76,248,535, 87,143,310,461,
149,280,111,523,282, 91,198,410, 89,128,360,586,147,295)
( 62,393,309,451,249,530,112,518,307,466,199,405,114,503,357,591,197,
420, 64,378,359,576,247,545)( 66,448,409, 79,228,610,587,142,320,436,
399,279,101,623,532, 92,193,435,464,129,355,611,522,292)
( 67,443,434,454,229,605,612,517,317,441,449,404,104,603,607,592,192,
445,439,379,354,601,622,542)( 69,428,484,579,227,620,562,392,319,426,
499,529,102,618,557,467,194,430,489,504,352,616,572,417)( 86,148,285)
(427,494,554,477,619,552,492,569)(429,479,604,602,617,567,442,444),
( 1,226,245,320,323, 23)( 2,476,242,445,322,398)( 3,101,241,195,325,
273)( 4,601,244,570,324,523)( 5,351,243, 70,321,148)
( 6,151,235,295,308, 48)( 7,401,232,420,307,423)( 8, 26,231,170,
310,298)( 9,526,234,545,309,548)( 10,276,233, 45,306,173)
( 11,201,240,345,313, 98)( 12,451,237,470,312,473)( 13, 76,236,220,
315,348)( 14,576,239,595,314,598)( 15,326,238, 95,311,223)
( 16,176,250,270,303,123)( 17,426,247,395,302,498)( 18, 51,246,145,
305,373)( 19,551,249,520,304,623)( 20,301,248)( 21,126,230,370,318,
73)( 22,376,227,495,317,448)( 24,501,229,620,319,573)
( 25,251,228,120,316,198)( 27,481,167,435,297,383)( 28,106,166,185,
300,258)( 29,606,169,560,299,508)( 30,356,168, 60,296,133)
( 31,156,160,285,283, 33)( 32,406,157,410,282,408)( 34,531,159,535,
284,533)( 35,281,158)( 36,206,165,335,288, 83)( 37,456,162,460,287,
458)( 38, 81,161,210,290,333)( 39,581,164,585,289,583)
( 40,331,163, 85,286,208)( 41,181,175,260,278,108)( 42,431,172,385,
277,483)( 43, 56,171,135,280,358)( 44,556,174,510,279,608)
( 46,131,155,360,293, 58)( 47,381,152,485,292,433)( 49,506,154,610,
294,558)( 50,256,153,110,291,183)( 52,496,142,430,372,393)
( 53,121,141,180,375,268)( 54,621,144,555,374,518)( 55,371,143)
( 57,421,132,405,357,418)( 59,546,134,530,359,543)( 61,221,140,330,
363, 93)( 62,471,137,455,362,468)( 63, 96,136,205,365,343)
( 64,596,139,580,364,593)( 65,346,138, 80,361,218)( 66,196,150,255,
353,118)( 67,446,147,380,352,493)( 68, 71,146,130,355,368)
( 69,571,149,505,354,618)( 72,396,127,480,367,443)( 74,521,129,605,
369,568)( 75,271,128,105,366,193)( 77,486,217,440,347,388)
( 78,111,216,190,350,263)( 79,611,219,565,349,513)( 82,411,207,415,
332,413)( 84,536,209,540,334,538)( 86,211,215,340,338, 88)
( 87,461,212,465,337,463)( 89,586,214,590,339,588)( 90,336,213)
( 91,186,225,265,328,113)( 92,436,222,390,327,488)( 94,561,224,515,
329,613)( 97,386,202,490,342,438)( 99,511,204,615,344,563)
(100,261,203,115,341,188)(102,491,192,450,272,378)(103,116,191,200,
275,253)(104,616,194,575,274,503)(107,416,182,425,257,403)
(109,541,184,550,259,528)(112,466,187,475,262,453)(114,591,189,600,
264,578)(117,441,197,400,252,478)(119,566,199,525,254,603)
(122,391,177,500,267,428)(124,516,179,625,269,553)(125,266,178)
(377,477,492,442,447,397)(379,602,494,567,449,522)(382,402,482,417,
432,422)(384,527,484,542,434,547)(387,452,487,467,437,472)
(389,577,489,592,439,597)(392,427,497)(394,552,499,517,429,622)
(399,502,479,617,444,572)(404,607,419,557,424,507)(409,532)(412,457)
(414,582)(454,612,469,562,474,512)(459,537)(464,587)(504,604,619,569,
574,524)(509,529,609,544,559,549)(514,579,614,594,564,599)
(519,554,624)(539,584) ] ],
[ 36, 622080000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 96, 1 ] ], 1,
"Alt(5)^4.(2 x Sym(4))", [ "A", 5, 4 ],
[ ( 1,246,355,204,195, 90,591,118)( 2,171,360,454,192, 40,581,493)
( 3,146,375,329,194, 65,586,618)( 4,196,365,579,193, 15,596,368)
( 5,221,370, 79,191,115,576,243)( 6,496,352,154,185,465,592, 43)
( 7,421,357,404,182,415,582,418)( 8,396,372,279,184,440,587,543)
( 9,446,362,529,183,390,597,293)( 10,471,367, 29,181,490,577,168)
( 11,621,353,129,200,340,594, 68)( 12,546,358,379,197,290,584,443)
( 13,521,373,254,199,315,589,568)( 14,571,363,504,198,265,599,318)
( 16,121,351,229,180,215,595, 93)( 17, 46,356,479,177,165,585,468)
( 18, 21,371,354,179,190,590,593)( 19, 71,361,604,178,140,600,343)
( 20, 96,366,104,176,240,580,218)( 22,296,359,429,187,540,583,393)
( 23,271,374,304,189,565,588,518)( 24,321,364,554,188,515,598,268)
( 25,346,369, 54,186,615,578,143)( 26,231,480,202,170, 85,466,117)
( 27,156,485,452,167, 35,456,492)( 28,131,500,327,169, 60,461,617)
( 30,206,495, 77,166,110,451,242)( 31,481,477,152,160,460,467, 42)
( 32,406,482,402,157,410,457,417)( 33,381,497,277,159,435,462,542)
( 34,431,487,527,158,385,472,292)( 36,606,478,127,175,335,469, 67)
( 37,531,483,377,172,285,459,442)( 38,506,498,252,174,310,464,567)
( 39,556,488,502,173,260,474,317)( 41,106,476,227,155,210,470, 92)
( 44, 56,486,602,153,135,475,342)( 45, 81,491,102,151,235,455,217)
( 47,281,484,427,162,535,458,392)( 48,256,499,302,164,560,463,517)
( 49,306,489,552,163,510,473,267)( 50,331,494, 52,161,610,453,142)
( 51,236,605,203,145,100,341,119)( 53,136,625,328,144, 75,336,619)
( 55,211,620, 78,141,125,326,244)( 57,411,607,403,132,425,332,419)
( 58,386,622,278,134,450,337,544)( 59,436,612,528,133,400,347,294)
( 61,611,603,128,150,350,344, 69)( 62,536,608,378,147,300,334,444)
( 63,511,623,253,149,325,339,569)( 64,561,613,503,148,275,349,319)
( 66,111,601,228,130,225,345, 94)( 70, 86,616,103,126,250,330,219)
( 72,286,609,428,137,550,333,394)( 73,261,624,303,139,575,338,519)
( 74,311,614,553,138,525,348,269)( 76,241,105,201,245, 80,216,120)
( 82,416,107,401,232,405,207,420)( 83,391,122,276,234,430,212,545)
( 84,441,112,526,233,380,222,295)( 87,541,108,376,247,280,209,445)
( 88,516,123,251,249,305,214,570)( 89,566,113,501,248,255,224,320)
( 91,116,101,226,230,205,220, 95)( 97,291,109,426,237,530,208,395)
( 98,266,124,301,239,555,213,520)( 99,316,114,551,238,505,223,270)
(257,424,307,414,557,413,507,423)(258,399,322,289,559,438,512,548)
(259,449,312,539,558,388,522,298)(262,549,308,389,572,288,509,448)
(263,524,323,264,574,313,514,573)(272,299,309,439,562,538,508,398)
(273,274,324,314,564,563,513,523)(282,409,432,412,532,408,382,422)
(283,384,447,287,534,433,387,547)(284,434,437,537,533,383,397,297),
( 1,471,484,282,127,216,495, 35, 22,224,369,280)( 2,221,494,285)
( 3,596,489,283,502,211,493,535, 12,223,619,290)( 4,346,479,281,377,
206,492,160, 17,225,119,300)( 5, 96,499,284,252,201,491,410, 7,222,
244,295)( 6,472,234,292,130, 91,500, 34,272,204,366,405)
( 8,597,239,293,505, 86,498,534,262,203,616,415)( 9,347,229,291,380,
81,497,159,267,205,116,425)( 10, 97,249,294,255, 76,496,409,257,202,
241,420)( 11,473,609,287,128,591,490, 33,522,214,368,530)
( 13,598,614,288,503,586,488,533,512,213,618,540)( 14,348,604,286,378,
581,487,158,517,215,118,550)( 15, 98,624,289,253,576,486,408,507,212,
243,545)( 16,475,109,297,129,341,480, 31,397,209,367,155)
( 18,600,114,298,504,336,478,531,387,208,617,165)( 19,350,104,296,379,
331,477,156,392,210,117,175)( 20,100,124,299,254,326,476,406,382,207,
242,170)( 21,474,359,277,126,466,485, 32,147,219,370, 30)
( 23,599,364,278,501,461,483,532,137,218,620, 40)( 24,349,354,276,376,
456,482,157,142,220,120, 50)( 25, 99,374,279,251,451,481,407,132,217,
245, 45)( 26,396,459,357,152,141,470,110, 47,149,344,355)
( 27,146,469,360)( 28,521,464,358,527,136,468,610, 37,148,594,365)
( 29,271,454,356,402,131,467,235, 42,150, 94,375)( 36,398,584,362,153,
516,465,108,547,139,343,605)( 38,523,589,363,528,511,463,608,537,138,
593,615)( 39,273,579,361,403,506,462,233,542,140, 93,625)
( 41,400, 84,372,154,266,455,106,422,134,342,230)( 43,525, 89,373,529,
261,453,606,412,133,592,240)( 44,275, 79,371,404,256,452,231,417,135,
92,250)( 46,399,334,352,151,391,460,107,172,144,345,105)
( 48,524,339,353,526,386,458,607,162,143,595,115)( 49,274,329,351,401,
381,457,232,167,145, 95,125)( 51,446,434,307,177,191,445, 60, 72,199,
319,305)( 52,196,444,310)( 53,571,439,308,552,186,443,560, 62,198,
569,315)( 54,321,429,306,427,181,442,185, 67,200, 69,325)
( 55, 71,449,309,302,176,441,435, 57,197,194,320)( 56,447,184,317,180,
66,450, 59,322,179,316,430)( 58,572,189,318,555, 61,448,559,312,178,
566,440)( 63,573,564,313,553,561,438,558,562,188,568,565)
( 64,323,554,311,428,556,437,183,567,190, 68,575)( 65, 73,574,314,303,
551,436,433,557,187,193,570)( 70, 75, 74,324,304,301,426,431,432,182,
192,195)( 77,246,419,260)( 78,621,414,258,577,236,418,510, 87,248,
544,265)( 80,121,424,259,327,226,416,385, 82,247,169,270)
( 83,622,164,268,580,111,423,509,337,228,541,390)( 85,122,174,269,330,
101,421,384,332,227,166,395)( 88,623,539,263,578,611,413,508,587,238,
543,515)( 90,123,549,264,328,601,411,383,582,237,168,520)
(102,171,394,335)(103,546,389,333,602,161,393,585,112,173,519,340)
(113,548,514,338,603,536,388,583,612,163,518,590)(513,588,613,538) ]
],
[ 37, 622080000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 96, 1 ] ], 1,
"Alt(5)^4:Q_8:Sym(3)", [ "A", 5, 4 ],
[ ( 1,519,304,192,477,116,501,269,179,442,102,616,251,144,429, 67,602,366,
126,394, 54,567,352,241,376, 19,554,317,227,491)( 2,619,301,142,479,
66,502,369,176,392,104,566,252,244,426, 17,604,316,127,494, 51,517,
354,191,377,119,551,267,229,441)( 3,594,303,217,478, 91,503,344,178,
467,103,591,253,219,428, 92,603,341,128,469, 53,592,353,216,378, 94,
553,342,228,466)( 4,569,302,242,476, 16,504,319,177,492,101,516,254,
194,427,117,601,266,129,444, 52,617,351,141,379, 69,552,367,226,391)
( 5,544,305,167,480, 41,505,294,180,417,105,541,255,169,430, 42,605,
291,130,419, 55,542,355,166,380, 44,555,292,230,416)( 6,524,314,182,
497,111,506,274,189,432,122,611,256,149,439, 57,622,361,131,399, 64,
557,372,236,381, 24,564,307,247,486)( 7,624,311,132,499, 61,507,374,
186,382,124,561,257,249,436)( 8,599,313,207,498, 86,508,349,188,457,
123,586,258,224,438, 82,623,336,133,474, 63,582,373,211,383, 99,563,
332,248,461)( 9,574,312,232,496, 11,509,324,187,482,121,511,259,199,
437,107,621,261,134,449, 62,607,371,136,384, 74,562,357,246,386)
( 10,549,315,157,500, 36,510,299,190,407,125,536,260,174,440, 32,625,
286,135,424, 65,532,375,161,385, 49,565,282,250,411)( 12,609,321,137,
484, 71,512,359,196,387,109,571,262,234,446)( 13,584,323,212,483, 96,
513,334,198,462,108,596,263,209,448, 87,608,346,138,459, 73,587,358,
221,388, 84,573,337,233,471)( 14,559,322,237,481, 21,514,309,197,487,
106,521,264,184,447,112,606,271,139,434, 72,612,356,146,389, 59,572,
362,231,396)( 15,534,325,162,485, 46,515,284,200,412,110,546,265,159,
450, 37,610,296,140,409, 75,537,360,171,390, 34,575,287,235,421)
( 18,579,318,202,493, 76,518,329,193,452,118,576,268,204,443, 77,618,
326,143,454, 68,577,368,201,393, 79,568,327,243,451)( 20,529,320,152,
495, 26,520,279,195,402,120,526,270,154,445, 27,620,276,145,404, 70,
527,370,151,395, 29,570,277,245,401)( 22,614,306,147,489, 56,522,364,
181,397,114,556,272,239,431)( 23,589,308,222,488, 81,523,339,183,472,
113,581,273,214,433, 97,613,331,148,464, 58,597,363,206,398, 89,558,
347,238,456)( 25,539,310,172,490, 31,525,289,185,422,115,531,275,164,
435, 47,615,281,150,414, 60,547,365,156,400, 39,560,297,240,406)
( 28,595,278,220,403, 95,528,345,153,470)( 30,545,280,170,405, 45,530,
295,155,420)( 33,600,288,210,423, 90,533,350,163,460, 48,590,283,225,
413, 85,548,340,158,475, 38,585,298,215,408,100,538,335,173,465)
( 35,550,290,160,425, 40,535,300,165,410, 50,540,285,175,415)
( 43,580,293,205,418, 80,543,330,168,455)( 78,593,328,218,453, 93,578,
343,203,468)( 83,598,338,208,473, 88,583,348,213,458, 98,588,333,223,
463), ( 1,172, 8,546,128,532)( 2, 47, 23,548,503,527)( 3,547)
( 4,297, 13,549,253,537)( 5,422, 18,550,378,542)( 6,171,133,531,
126,157)( 7, 46,148,533,501,152)( 9,296,138,534,251,162)
( 10,421,143,535,376,167)( 11,174,258,536,129,282)( 12, 49,273,538,
504,277)( 14,299,263,539,254,287)( 15,424,268,540,379,292)
( 16,175,383,541,130,407)( 17, 50,398,543,505,402)( 19,300,388,544,
255,412)( 20,425,393,545,380,417)( 21,173,508,526,127, 32)
( 22, 48,523,528,502, 27)( 24,298,513,529,252, 37)( 25,423,518,530,
377, 42)( 26,147, 33,521,153,507)( 28,522)( 29,272, 38,524,278,512)
( 30,397, 43,525,403,517)( 31,146,158,506,151,132)( 34,271,163,509,
276,137)( 35,396,168,510,401,142)( 36,149,283,511,154,257)
( 39,274,288,514,279,262)( 40,399,293,515,404,267)( 41,150,408,516,
155,382)( 44,275,413,519,280,387)( 45,400,418,520,405,392)
( 51,247, 83,571,228,582)( 52,122, 98,573,603,577)( 53,622, 78,572,
103,597)( 54,372, 88,574,353,587)( 55,497, 93,575,478,592)
( 56,246,208,556,226,207)( 57,121,223,558,601,202)( 58,621,203,557,
101,222)( 59,371,213,559,351,212)( 60,496,218,560,476,217)
( 61,249,333,561,229,332)( 62,124,348,563,604,327)( 63,624,328,562,
104,347)( 64,374,338,564,354,337)( 65,499,343,565,479,342)
( 66,250,458,566,230,457)( 67,125,473,568,605,452)( 68,625,453,567,
105,472)( 69,375,463,569,355,462)( 70,500,468,570,480,467)
( 71,248,583,551,227, 82)( 72,123,598,553,602, 77)( 73,623,578,552,
102, 97)( 74,373,588,554,352, 87)( 75,498,593,555,477, 92)
( 76,197,108,596,178,607)( 79,322,113,599,303,612)( 80,447,118,600,
428,617)( 81,196,233,581,176,232)( 84,321,238,584,301,237)
( 85,446,243,585,426,242)( 86,199,358,586,179,357)( 89,324,363,589,
304,362)( 90,449,368,590,429,367)( 91,200,483,591,180,482)
( 94,325,488,594,305,487)( 95,450,493,595,430,492)( 96,198,608,576,
177,107)( 99,323,613,579,302,112)(100,448,618,580,427,117)
(106,221,183,606,201,182)(109,346,188,609,326,187)(110,471,193,610,
451,192)(111,224,308,611,204,307)(114,349,313,614,329,312)
(115,474,318,615,454,317)(116,225,433,616,205,432)(119,350,438,619,
330,437)(120,475,443,620,455,442)(131,156)(134,281,136,159,256,161)
(135,406,141,160,381,166)(139,284,261,164,259,286)(140,409,266,165,
384,291)(144,285,386,169,260,411)(145,410,391,170,385,416)
(181,231,206)(184,356,211)(185,481,216)(186,234,331)(189,359,336)
(190,484,341)(191,235,456)(194,360,461)(195,485,466)(209,306,236)
(210,431,241)(214,309,361)(215,434,366)(219,310,486)(220,435,491)
(239,334,311)(240,459,316)(244,335,436)(245,460,441)(264,289)
(265,414,269,290,389,294)(270,415,394,295,390,419)(314,364,339)
(315,489,344)(319,365,464)(320,490,469)(340,439,369)(345,440,494)
(370,465,444)(395,420)(445,495,470) ] ],
[ 38, 829440000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5)^4.Q_8:D_8", [ "A", 5, 4 ],
[ ( 1,345,106,592, 71,468)( 2,320,108,517, 75,493)( 3,270,110,617, 72,443
)( 4,295,109,542, 74,418)( 5,370,107,567, 73,393)( 6,595,121,467,
51,343)( 7,570,123,392, 55,368)( 8,520,125,492, 52,318)
( 9,545,124,417, 54,293)( 10,620,122,442, 53,268)( 11,220,111,217,
61,218)( 12,195,113,142, 65,243)( 13,145,115,242, 62,193)
( 14,170,114,167, 64,168)( 15,245,112,192, 63,143)( 16, 95,116, 92,
66, 93)( 17, 70,118)( 18, 20,120,117, 67, 68)( 19, 45,119, 42, 69,
43)( 21,470,101,342, 56,593)( 22,445,103,267, 60,618)
( 23,395,105,367, 57,568)( 24,420,104,292, 59,543)( 25,495,102,317,
58,518)( 26,344, 31,594, 46,469)( 27,319, 33,519, 50,494)
( 28,269, 35,619, 47,444)( 29,294, 34,544, 49,419)( 30,369, 32,569,
48,394)( 36,219)( 37,194, 38,144, 40,244)( 39,169)( 41, 94)
( 76,341, 81,591, 96,466)( 77,316, 83,516,100,491)( 78,266, 85,616,
97,441)( 79,291, 84,541, 99,416)( 80,366, 82,566, 98,391)( 86,216)
( 87,191, 88,141, 90,241)( 89,166)(126,340,231,587,196,463)
(127,315,233,512,200,488)(128,265,235,612,197,438)(129,290,234,537,
199,413)(130,365,232,562,198,388)(131,590,246,462,176,338)
(132,565,248,387,180,363)(133,515,250,487,177,313)(134,540,249,412,
179,288)(135,615,247,437,178,263)(136,215,236,212,186,213)
(137,190,238)(138,140,240,237,187,188)(139,165,239,162,189,163)
(146,465,226,337,181,588)(147,440,228,262,185,613)(148,390,230,362,
182,563)(149,415,229,287,184,538)(150,490,227,312,183,513)
(151,339,156,589,171,464)(152,314,158,514,175,489)(153,264,160,614,
172,439)(154,289,159,539,174,414)(155,364,157,564,173,389)(161,214)
(201,336,206,586,221,461)(202,311,208,511,225,486)(203,261,210,611,
222,436)(204,286,209,536,224,411)(205,361,207,561,223,386)
(251,335,606,597,446,453)(252,310,608,522,450,478)(253,260,610,622,
447,428)(254,285,609,547,449,403)(255,360,607,572,448,378)
(256,585,621,472,426,328)(257,560,623,397,430,353)(258,510,625,497,
427,303)(259,535,624,422,429,278)(271,460,601,347,431,578)
(272,435,603)(273,385,605,372,432,553)(274,410,604,297,434,528)
(275,485,602,322,433,503)(276,334,531,599,421,454)(277,309,533,524,
425,479)(279,284,534,549,424,404)(280,359,532,574,423,379)
(281,584,546,474,401,329)(282,559,548,399,405,354)(283,509,550,499,
402,304)(296,459,526,349,406,579)(298,384,530,374,407,554)
(299,409,529)(300,484,527,324,408,504)(301,333,506,600,496,452)
(302,308,508,525,500,477)(305,358,507,575,498,377)(306,583,521,475,
476,327)(307,558,523,400,480,352)(321,458,501,350,481,577)
(323,383,505,375,482,552)(325,483,502)(326,331,581,596,471,451)
(330,356,582,571,473,376)(332,556,598,396,455,351)(346,456,576)
(348,381,580,371,457,551)(355,357,557,573,398,380)(373,382,555),
( 1, 61,188,173,299,369,617,502)( 2, 51,186,163,298,374,619,517)
( 3, 71,189,168,297,354,616,512)( 4, 66,187,153,296,364,618,522)
( 5, 56,190,158,300,359,620,507)( 6, 65,183,175,284,370,607,505)
( 7, 55,181,165,283,375,609,520)( 8, 75,184,170,282,355,606,515)
( 9, 70,182,155,281,365,608,525)( 10, 60,185,160,285,360,610,510)
( 11, 63,198,174,294,367,602,501)( 12, 53,196,164,293,372,604,516)
( 13, 73,199,169,292,352,601,511)( 14, 68,197,154,291,362,603,521)
( 15, 58,200,159,295,357,605,506)( 16, 62,178,171,289,368,622,504)
( 17, 52,176,161,288,373,624,519)( 18, 72,179,166,287,353,621,514)
( 19, 67,177,151,286,363,623,524)( 20, 57,180,156,290,358,625,509)
( 21, 64,193,172,279,366,612,503)( 22, 54,191,162,278,371,614,518)
( 23, 74,194,167,277,351,611,513)( 24, 69,192,152,276,361,613,523)
( 25, 59,195,157,280,356,615,508)( 26,311,238,548,274,119,567,127)
( 27,301,236,538,273,124,569,142)( 28,321,239,543,272,104,566,137)
( 29,316,237,528,271,114,568,147)( 30,306,240,533,275,109,570,132)
( 31,315,233,550,259,120,557,130)( 32,305,231,540,258,125,559,145)
( 33,325,234,545,257,105,556,140)( 34,320,232,530,256,115,558,150)
( 35,310,235,535,260,110,560,135)( 36,313,248,549,269,117,552,126)
( 37,303,246,539,268,122,554,141)( 38,323,249,544,267,102,551,136)
( 39,318,247,529,266,112,553,146)( 40,308,250,534,270,107,555,131)
( 41,312,228,546,264,118,572,129)( 42,302,226,536,263,123,574,144)
( 43,322,229,541,262,103,571,139)( 44,317,227,526,261,113,573,149)
( 45,307,230,531,265,108,575,134)( 46,314,243,547,254,116,562,128)
( 47,304,241,537,253,121,564,143)( 48,324,244,542,252,101,561,138)
( 49,319,242,527,251,111,563,148)( 50,309,245,532,255,106,565,133)
( 76,436,213,423,349,494,592,377)( 77,426,211,413,348,499,594,392)
( 78,446,214,418,347,479,591,387)( 79,441,212,403,346,489,593,397)
( 80,431,215,408,350,484,595,382)( 81,440,208,425,334,495,582,380)
( 82,430,206,415,333,500,584,395)( 83,450,209,420,332,480,581,390)
( 84,445,207,405,331,490,583,400)( 85,435,210,410,335,485,585,385)
( 86,438,223,424,344,492,577,376)( 87,428,221,414,343,497,579,391)
( 88,448,224,419,342,477,576,386)( 89,443,222,404,341,487,578,396)
( 90,433,225,409,345,482,580,381)( 91,437,203,421,339,493,597,379)
( 92,427,201,411,338,498,599,394)( 93,447,204,416,337,478,596,389)
( 94,442,202,401,336,488,598,399)( 95,432,205,406,340,483,600,384)
( 96,439,218,422,329,491,587,378)( 97,429,216,412,328,496,589,393)
( 98,449,219,417,327,476,586,388)( 99,444,217,402,326,486,588,398)
(100,434,220,407,330,481,590,383)(451,461,463,473,474,469,467,452)
(453,471,464,468,472,454,466,462)(455,456,465,458,475,459,470,457),
( 1,538,320,229,406,337, 74,133,591,115,428,167,371,389,557,225)
( 2,548,270,604,410,327, 49,258,594,110,453, 42,373,394,607,475)
( 3,543,370,479,407,347, 24,508,595,105,403,292,374,384,582,100)
( 4,533,345,104,408,342,124,383,592,125,378,542,375,379,532,350)
( 5,528,295,354,409,332, 99, 8,593,120,478,417,372,399,507,600)
( 6,588, 70,228,416,362,449,132,596, 15,553,170,351,414,307,224)
( 7,598, 20,603,420,352,424,257,599, 10,578, 45,353,419,357,474)
( 9,583, 95,103,418,367,499,382,597, 25,503,545,355,404,282,349)
( 11,563,195,226,411,312,199,131,586, 65,178,166,361,439,182,221)
( 12,573,145,601,415,302,174,256,589, 60,203, 41,363,444,232,471)
( 13,568,245,476,412,322,149,506,590, 55,153,291,364,434,207, 96)
( 14,558,220,101,413,317,249,381,587, 75,128,541,365,429,157,346)
( 16,613,445,227,421,262,574,135,576, 40,303,169,356,464, 57,223)
( 17,623,395,602,425,252,549,260,579, 35,328, 44,358,469,107,473)
( 18,618,495,477,422,272,524,510,580, 30,278,294,359,459, 82, 98)
( 19,608,470,102,423,267,624,385,577, 50,253,544,360,454, 32,348)
( 21,513,570,230,401,287,324,134,581, 90, 53,168,366,489,432,222)
( 22,523,520,605,405,277,299,259,584, 85, 78, 43,368,494,482,472)
( 23,518,620,480,402,297,274,509,585, 80, 28,293,369,484,457, 97)
( 26,288,319,234,456, 87, 73,143,616,490,427,172,271,514,560,205)
( 27,298,269,609,460, 77, 48,268,619,485,452, 47,273,519,610,455)
( 29,283,344,109,458, 92,123,393,617,500,377,547,275,504,535,330)
( 31,338, 69,233,466,112,448,142,621,390,552,175,251,539,310,204)
( 33,343,119,483,467,122,398,517,625,380,527,300,254,534,335, 79)
( 34,333, 94,108,468,117,498,392,622,400,502,550,255,529,285,329)
( 36,313,194,231,461, 62,198,141,611,440,177,171,261,564,185,201)
( 37,323,144,606,465, 52,173,266,614,435,202, 46,263,569,235,451)
( 38,318,244,481,462, 72,148,516,615,430,152,296,264,559,210, 76)
( 39,308,219,106,463, 67,248,391,612,450,127,546,265,554,160,326)
( 51,163,316,239,431,212, 71,138,566,240,426,162,321,139,556,215)
( 54,158,341,114,433,217,121,388,567,250,376,537,325,129,531,340)
( 56,213, 66,238,441,237,446,137,571,140,551,165,301,164,306,214)
( 58,218,116,488,442,247,396,512,575,130,526,290,304,159,331, 89)
( 59,208, 91,113,443,242,496,387,572,150,501,540,305,154,281,339)
( 61,188,191,236,436,187,196,136,561,190,176,161,311,189,181,211)
( 63,193,241,486,437,197,146,511,565,180,151,286,314,184,206, 86)
( 64,183,216,111,438,192,246,386,562,200,126,536,315,179,156,336)
( 68,243,491,487,447,147,521,515,555,155,276,289,309,209, 81, 88)
( 83, 93,118,493,492,497,397,522,525,505,530,280,279,284,334, 84) ] ],
[ 39, 829440000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5)^4:4^2:4", [ "A", 5, 4 ],
[ ( 1, 4, 2)( 3, 5)( 6,129, 12,376, 24,252, 16,504, 7,126, 14,377,
21,254, 17,501, 9,127, 11,379, 22,251, 19,502)( 8,130, 13,380, 23,
255, 18,505)( 10,128, 15,378, 25,253, 20,503)( 26, 54, 77,101, 29,
52, 76,104, 27, 51, 79,102)( 28, 55, 78,105)( 30, 53, 80,103)
( 31,179, 87,476, 49,302, 91,604, 32,176, 89,477, 46,304, 92,601, 34,
177, 86,479, 47,301, 94,602)( 33,180, 88,480, 48,305, 93,605)
( 35,178, 90,478, 50,303, 95,603)( 36,429, 97,351, 44,552, 81,229, 37,
426, 99,352, 41,554, 82,226, 39,427, 96,354, 42,551, 84,227)
( 38,430, 98,355, 43,555, 83,230)( 40,428,100,353, 45,553, 85,228)
( 56,204,112,401, 74,327,116,529, 57,201,114,402, 71,329,117,526, 59,
202,111,404, 72,326,119,527)( 58,205,113,405, 73,330,118,530)
( 60,203,115,403, 75,328,120,528)( 61,454,122,276, 69,577,106,154, 62,
451,124,277, 66,579,107,151, 64,452,121,279, 67,576,109,152)
( 63,455,123,280, 68,580,108,155)( 65,453,125,278, 70,578,110,153)
(131,139,387,396,274,267,516,509,132,136,389,397,271,269,517,506,134,
137,386,399,272,266,519,507)(133,140,388,400,273,270,518,510)
(135,138,390,398,275,268,520,508)(141,514,382,146,264,392,521,259,142,
511,384,147,261,394,522,256,144,512,381,149,262,391,524,257)
(143,515,383,150,263,395,523,260)(145,513,385,148,265,393,525,258)
(156,189,462,496,299,317,591,609,157,186,464,497,296,319,592,606,159,
187,461,499,297,316,594,607)(158,190,463,500,298,320,593,610)
(160,188,465,498,300,318,595,608)(161,439,472,371,294,567,581,234,162,
436,474,372,291,569,582,231,164,437,471,374,292,566,584,232)
(163,440,473,375,293,570,583,235)(165,438,475,373,295,568,585,233)
(166,564,457,246,289,442,596,359,167,561,459,247,286,444,597,356,169,
562,456,249,287,441,599,357)(168,565,458,250,288,445,598,360)
(170,563,460,248,290,443,600,358)(171,314,467,621,284,192,586,484,172,
311,469,622,281,194,587,481,174,312,466,624,282,191,589,482)
(173,315,468,625,283,195,588,485)(175,313,470,623,285,193,590,483)
(181,214,487,421,324,342,616,534,182,211,489,422,321,344,617,531,184,
212,486,424,322,341,619,532)(183,215,488,425,323,345,618,535)
(185,213,490,423,325,343,620,533)(196,339,492,546,309,217,611,409,197,
336,494,547,306,219,612,406,199,337,491,549,307,216,614,407)
(198,340,493,550,308,220,613,410)(200,338,495,548,310,218,615,408)
(206,239,412,446,349,367,541,559,207,236,414,447,346,369,542,556,209,
237,411,449,347,366,544,557)(208,240,413,450,348,370,543,560)
(210,238,415,448,350,368,545,558)(221,364,417,571,334,242,536,434,222,
361,419,572,331,244,537,431,224,362,416,574,332,241,539,432)
(223,365,418,575,333,245,538,435)(225,363,420,573,335,243,540,433),
( 1,450,328,540,266,424,218,614,131,497, 83,562)( 2, 75,303,530,270,
299,168,619,134,247,108,557)( 3,575,253,550,268,549,143,624,133,622,
8,572)( 4,200,353,535,267, 49,193,604,135,372, 33,567)
( 5,325,278,545,269,174,243,609,132,122, 58,552)( 6,447, 78,565,251,
425,343,539,141,499,208,612)( 7, 72, 53,555,255,300,293,544,144,249,
233,607)( 9,197,103,560,252, 50,318,529,145,374,158,617)
( 10,322, 28,570,254,175,368,534,142,124,183,602)( 11,446,453,590,261,
421,468,589,136,496,458,587)( 12, 71,428,580,265,296,418,594,139,246,
483,582)( 13,571,378,600,263,546,393,599,138,621,383,597)
( 14,196,478,585,262, 46,443,579,140,371,408,592)( 15,321,403,595,264,
171,493,584,137,121,433,577)( 16,449,203,615,256,422, 93,564,126,500,
333,537)( 17, 74,178,605,260,297, 43,569,129,250,358,532)
( 18,574,128,625,258,547)( 19,199,228,610,257, 47, 68,554,130,375,283,
542)( 20,324,153,620,259,172,118,559,127,125,308,527)
( 21,448,578,515,271,423,593,514,146,498,583,512)( 22, 73,553,505,275,
298,543,519,149,248,608,507)( 23,573,503,525,273,548,518,524,148,623,
508,522)( 24,198,603,510,272, 48,568,504,150,373,533,517)
( 25,323,528,520,274,173,618,509,147,123,558,502)( 26,445,329,165,366,
409,217,114,181,477, 85,312)( 27, 70,304,155,370,284,167,119,184,227,
110,307)( 29,195,354,160,367, 34,192,104,185,352, 35,317)
( 30,320,279,170,369,159,242,109,182,102, 60,302)( 31,442, 79,190,351,
410,342, 39,191,479,210,362)( 32, 67, 54,180,355,285,292, 44,194,229,
235,357)( 36,441,454,215,361,406,467, 89,186,476,460,337)
( 37, 66,429,205,365,281,417, 94,189,226,485,332)( 38,566,379,225,363,
531,392, 99,188,601,385,347)( 40,316,404,220,364,156,492, 84,187,101,
435,327)( 41,444,204,240,356,407, 92, 64,176,480,335,287)
( 42, 69,179,230,360,282)( 45,319,154,245,359,157,117, 59,177,105,310,
277)( 51,430,330,290,291,419,219,239,231,482, 82, 62)
( 52, 55,305,280,295,294,169,244,234,232,107, 57)( 56,427, 80,315,276,
420,344,164,241,484,207,112)( 61,426,455,340,286,416,469,214,236,481,
457, 87)( 63,551,380,350,288,541,394,224,238,606,382, 97)
( 65,301,405,345,289,166,494,209,237,106,432, 77)( 76,440,326,415,341,
414,216,489,206,487, 81,437)( 86,436,451,465,336,411,466,464,211,486,
456,462)( 88,561,376,475,338,536,391,474,213,611,381,472)
( 90,311,401,470,339,161,491,459,212,111,431,452)( 91,439,201,490,331,
412)( 95,314,151,495,334,162,116,434,202,115,306,402)
( 96,438,576,390,346,413,591,389,221,488,581,387)( 98,563,501,400,348,
538,516,399,223,613,506,397)(100,313,526,395,349,163,616,384,222,113,
556,377)(120,309,152)(386,471,463,586)(388,596)(396,473,588,511)
(398,598,513,521) ] ],
[ 40, 829440000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5)^4:2^4:4", [ "A", 5, 4 ],
[ ( 1,367, 23,312,548,439,530,484, 80,232, 96,192,521,319,503,364, 28,487,
50,432,600,184,576,244)( 2,372, 73,562,549,429,605,109, 77,247, 71,
567,524,304,603,114, 27,497, 75,557,599,179,601,119)( 3,362, 48,437,
550,434,580,234, 76,242, 21,317,523,314,528,489, 30,482,100,182,596,
194,501,369)( 4,352,123, 62,547,449,555,609, 79,227,121, 67,522,324,
553,614, 29,477,125, 57,597,199,551,619)( 5,357, 98,187,546,444,505,
359, 78,237, 46,442,525,309,578,239, 26,492, 25,307,598,189,526,494)
( 6,342,148,311,543,389,280,483, 90,157,471,195,506,344,128,361, 43,
387,300,433,590,159,451,245)( 7,347,198,561,544,379,355,108, 87,172,
446,570,509,329,228,111, 42,397,325,558,589,154,476,120)
( 8,337,173,436,545,384,330,233, 86,167,396,320,508,339,153,486, 45,
382,350,183,586,169,376,370)( 9,327,248, 61,542,399,305,608, 89,152,
496, 70,507,349,178,611, 44,377,375, 58,587,174,426,620)
( 10,332,223,186,541,394,255,358, 88,162,421,445,510,334,203,236, 41,
392,275,308,588,164,401,495)( 11,292,398,315,533,464,155,481, 95,132,
346,193,511,294,378,365, 33,462,175,431,595,134,326,243)
( 12,297,448,565,534,454,230,106, 92,147,321,568,514,279,478,115, 32,
472,200,556,594,129,351,118)( 13,287,423,440,535,459,205,231, 91,142,
271,318,513,289,403,490, 35,457,225,181,591,144,251,368)
( 14,277,498, 65,532,474,180,606, 94,127,371, 68,512,299,428,615, 34,
452,250, 56,592,149,301,618)( 15,282,473,190,531,469,130,356, 93,137,
296,443,515,284,453,240, 31,467,150,306,593,139,276,493)
( 16,267,273,313,538,414,405,485, 85,207,221,191,516,269,253,363, 38,
412,425,435,585,209,201,241)( 17,272,323,563,539,404,480,110, 82,222,
196,566,519,254,353,113, 37,422,450,560,584,204,226,116)
( 18,262,298,438,540,409,455,235, 81,217,146,316,518,264,278,488, 40,
407,475,185,581,219,126,366)( 19,252,373, 63,537,424,430,610, 84,202,
246, 66,517,274,303,613, 39,402,500, 60,582,224,176,616)
( 20,257,348,188,536,419,380,360, 83,212,171,441,520,259,328,238, 36,
417,400,310,583,214,151,491)( 22,322,573,564,529,479,105,107, 97,197,
571,569,504,354,103,112, 47,447,575,559,579,229,101,117)
( 24,302,623, 64,527,499, 55,607, 99,177,621, 69,502,374, 53,612, 49,
427,625, 59,577,249, 51,617)( 52,622, 74,552,624, 54,602,124)
( 72,572,574,554,604,104,102,122)(131,341,143,261,293,388,290,408,465,
160,456,220)(133,336,168,386,295,383,340,158,461,170,381,345)
(135,331,218,136,291,393,265,283,463,165,406,470)(138,286,418,390,285,
458,215,156,466,145,256,343)(140,281,468)(141,266,268,263,288,413,
415,410,460,210,206,216)(161,416,395,260,333,213)(163,411,420,385,
335,208,211,166,391,270,258,338), ( 1,563, 46,569)( 2,588, 47,594)
( 3,538, 49,519)( 4,513, 48,544)( 5,613, 50,619)( 6,558, 31,559)
( 7,583, 32,584)( 8,533, 34,509)( 9,508, 33,534)( 10,608, 35,609)
( 11,573, 41,554)( 12,598, 42,579)( 13,548, 44,504)( 14,523, 43,529)
( 15,623, 45,604)( 16,553, 36,574)( 17,578, 37,599)( 18,528, 39,524)
( 19,503, 38,549)( 20,603, 40,624)( 21,568, 26,564)( 22,593, 27,589)
( 23,543, 29,514)( 24,518, 28,539)( 25,618, 30,614)( 51,561, 71,566)
( 52,586, 72,591)( 53,536, 74,516)( 54,511, 73,541)( 55,611, 75,616)
( 56,556)( 57,581)( 58,531, 59,506)( 60,606)( 61,571, 66,551)
( 62,596, 67,576)( 63,546, 69,501)( 64,521, 68,526)( 65,621, 70,601)
( 76,562, 96,567)( 77,587, 97,592)( 78,537, 99,517)( 79,512, 98,542)
( 80,612,100,617)( 81,557)( 82,582)( 83,532, 84,507)( 85,607)
( 86,572, 91,552)( 87,597, 92,577)( 88,547, 94,502)( 89,522, 93,527)
( 90,622, 95,602)(101,565,121,570)(102,590,122,595)(103,540,124,520)
(104,515,123,545)(105,615,125,620)(106,560)(107,585)(108,535,109,510)
(110,610)(111,575,116,555)(112,600,117,580)(113,550,119,505)
(114,525,118,530)(115,625,120,605)(126,188,171,194)(127,213,172,219)
(128,163,174,144)(129,138,173,169)(130,238,175,244)(131,183,156,184)
(132,208,157,209)(133,158,159,134)(135,233,160,234)(136,198,166,179)
(137,223,167,204)(139,148,168,154)(140,248,170,229)(141,178,161,199)
(142,203,162,224)(143,153,164,149)(145,228,165,249)(146,193,151,189)
(147,218,152,214)(150,243,155,239)(176,186,196,191)(177,211,197,216)
(180,236,200,241)(182,206)(185,231)(187,221,192,201)(190,246,195,226)
(202,212,222,217)(205,237,225,242)(210,232)(215,247,220,227)
(230,240,250,245)(251,438,296,444)(252,463,297,469)(253,413,299,394)
(254,388,298,419)(255,488,300,494)(256,433,281,434)(257,458,282,459)
(258,408,284,384)(259,383,283,409)(260,483,285,484)(261,448,291,429)
(262,473,292,454)(263,423,294,379)(264,398,293,404)(265,498,295,479)
(266,428,286,449)(267,453,287,474)(268,403,289,399)(269,378,288,424)
(270,478,290,499)(271,443,276,439)(272,468,277,464)(273,418,279,389)
(274,393,278,414)(275,493,280,489)(301,436,321,441)(302,461,322,466)
(303,411,324,391)(304,386,323,416)(305,486,325,491)(306,431)(307,456)
(308,406,309,381)(310,481)(311,446,316,426)(312,471,317,451)
(313,421,319,376)(314,396,318,401)(315,496,320,476)(326,437,346,442)
(327,462,347,467)(328,412,349,392)(329,387,348,417)(330,487,350,492)
(331,432)(332,457)(333,407,334,382)(335,482)(336,447,341,427)
(337,472,342,452)(338,422,344,377)(339,397,343,402)(340,497,345,477)
(351,440,371,445)(352,465,372,470)(353,415,374,395)(354,390,373,420)
(355,490,375,495)(356,435)(357,460)(358,410,359,385)(360,485)
(361,450,366,430)(362,475,367,455)(363,425,369,380)(364,400,368,405)
(365,500,370,480) ] ],
[ 41, 829440000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 32, 3 ] ], 1,
"Alt(5)^4.2^3:D_8", [ "A", 5, 4 ],
[ ( 1,540,433,204,517,110,186,419, 3,590,432,229,516, 35,188,469, 2,615,
431,154,518, 85,187,494)( 4,515,435,179,519, 10,190,444)
( 5,565,434,129,520, 60,189,394)( 6,165,443, 79,512,485,176,544, 8,
215,442,104,511,410,178,594, 7,240,441, 29,513,460,177,619)
( 9,140,445, 54,514,385,180,569)( 11,415,428,579,507,235,191, 44, 13,
465,427,604,506,160,193, 94, 12,490,426,529,508,210,192,119)
( 14,390,430,554,509,135,195, 69)( 15,440,429,504,510,185,194, 19)
( 16, 40,438,454,502,610,181,169, 18, 90,437,479,501,535,183,219, 17,
115,436,404,503,585,182,244)( 20, 65,439,379,505,560,184,144)
( 21,290,448,329,522,360,196,294, 23,340,447,354,521,285,198,344, 22,
365,446,279,523,335,197,369)( 24,265,450,304,524,260,200,319)
( 25,315,449,254,525,310,199,269)( 26,538,458,202,617,106,161,418, 78,
587,482,226,541, 33,213,467,102,611,406,153,593, 82,237,491)
( 27,613,456,152,618, 81,162,493, 76,537,483,201,542,108,211,417,103,
586,407,228,591, 32,238,466)( 28,588,457,227,616, 31,163,468, 77,612,
481,151,543, 83,212,492,101,536,408,203,592,107,236,416)
( 30,563,459,127,620, 56,164,393, 80,562,484,126,545, 58,214,392,105,
561,409,128,595, 57,239,391)( 34,138,470, 52,614,381,155,568, 84,137,
495, 51,539,383,205,567,109,136,420, 53,589,382,230,566)
( 36,413,453,577,607,231,166, 43, 88,462,477,601,531,158,218, 92,112,
486,401,528,583,207,242,116)( 37,488,451,527,608,206,167,118, 86,412,
478,576,532,233,216, 42,113,461,402,603,581,157,243, 91)
( 38,463,452,602,606,156,168, 93, 87,487,476,526,533,208,217,117,111,
411,403,578,582,232,241, 41)( 39,388,455,552,609,131,170, 68, 89,387,
480,551,534,133,220, 67,114,386,405,553,584,132,245, 66)
( 45, 63,464,377,605,556,159,143, 95, 62,489,376,530,558,209,142,120,
61,414,378,580,557,234,141)( 46,288,473,327,622,356,171,293, 98,337,
497,351,546,283,223,342,122,361,421,278,598,332,247,366)
( 47,363,471,277,623,331,172,368, 96,287,498,326,547,358,221,292,123,
336,422,353,596,282,248,341)( 48,338,472,352,621,281,173,343, 97,362,
496,276,548,333,222,367,121,286,423,328,597,357,246,291)
( 49,263,475,302,624,256,175,318, 99,262,500,301,549,258,225,317,124,
261,425,303,599,257,250,316)( 50,313,474,252,625,306,174,268,100,312,
499,251,550,308,224,267,125,311,424,253,600,307,249,266)
( 55,564,384,130,570, 59,139,395)( 64,389,380,555,559,134,145, 70)
( 71,289,398,330,572,359,146,295, 73,339,397,355,571,284,148,345, 72,
364,396,280,573,334,147,370)( 74,264,400,305,574,259,150,320)
( 75,314,399,255,575,309,149,270)(271,300,323,349,272,375,321,299,273,
350,322,374)(274,275,325,324)(296,298,348,347,372,371)(297,373,346),
( 1,322,419,211,502, 74,291,462,129,571, 42,339,376,197,544, 86,252,
449,166,587, 4,321,417,214,501, 72,294,461,127,574, 41,337,379,196,
542, 89,251,447,169,586, 2,324,416,212,504, 71,292,464,126,572, 44,
336,377,199,541, 87,254,446,167,589)( 3,325,418,215,503, 75,293,465,
128,575, 43,340,378,200,543, 90,253,450,168,590)( 5,323,420,213,505,
73,295,463,130,573, 45,338,380,198,545, 88,255,448,170,588)
( 6,307,409,206,507, 59,281,457,134,556, 32,334,381,182,534, 81,257,
434,156,582, 9,306,407,209,506, 57,284,456,132,559, 31,332,384,181,
532, 84,256,432,159,581, 7,309,406,207,509, 56,282,459,131,557, 34,
331,382,184,531, 82,259,431,157,584)( 8,310,408,210,508, 60,283,460,
133,560, 33,335,383,185,533, 85,258,435,158,585)( 10,308,410,208,510,
58,285,458,135,558, 35,333,385,183,535, 83,260,433,160,583)
( 11,302,424,216,512, 54,296,467,139,551, 47,344,386,177,549, 91,262,
429,171,592, 14,301,422,219,511, 52,299,466,137,554, 46,342,389,176,
547, 94,261,427,174,591, 12,304,421,217,514, 51,297,469,136,552, 49,
341,387,179,546, 92,264,426,172,594)( 13,305,423,220,513, 55,298,470,
138,555, 48,345,388,180,548, 95,263,430,173,595)( 15,303,425,218,515,
53,300,468,140,553, 50,343,390,178,550, 93,265,428,175,593)
( 16,312,404,221,517, 64,276,472,144,561, 27,349,391,187,529, 96,267,
439,151,597, 19,311,402,224,516, 62,279,471,142,564, 26,347,394,186,
527, 99,266,437,154,596, 17,314,401,222,519, 61,277,474,141,562, 29,
346,392,189,526, 97,269,436,152,599)( 18,315,403,225,518, 65,278,475,
143,565, 28,350,393,190,528,100,268,440,153,600)( 20,313,405,223,520,
63,280,473,145,563, 30,348,395,188,530, 98,270,438,155,598)
( 21,317,414,201,522, 69,286,452,149,566, 37,329,396,192,539, 76,272,
444,161,577, 24,316,412,204,521, 67,289,451,147,569, 36,327,399,191,
537, 79,271,442,164,576, 22,319,411,202,524, 66,287,454,146,567, 39,
326,397,194,536, 77,274,441,162,579)( 23,320,413,205,523, 70,288,455,
148,570, 38,330,398,195,538, 80,273,445,163,580)( 25,318,415,203,525,
68,290,453,150,568, 40,328,400,193,540, 78,275,443,165,578)
(101,372,494,236,602,124,366,487,229,621,117,364,476,247,619,111,352,
499,241,612,104,371,492,239,601,122,369,486,227,624,116,362,479,246,
617,114,351,497,244,611,102,374,491,237,604,121,367,489,226,622,119,
361,477,249,616,112,354,496,242,614)(103,375,493,240,603,125,368,490,
228,625,118,365,478,250,618,115,353,500,243,615)(105,373,495,238,605,
123,370,488,230,623,120,363,480,248,620,113,355,498,245,613)
(106,357,484,231,607,109,356,482,234,606,107,359,481,232,609)
(108,360,483,235,608,110,358,485,233,610),
( 1,274,312,441,423,157,220, 78, 9,265,301,449,412,166,223, 82, 20,
253,309,440,401,174,212, 91, 23,257,320,428,409,165,201, 99, 12,266,
323,432,420,153,209, 90)( 2,269,313,431,425,152,219, 88, 6,275,302,
444,413,156,225, 77, 19,263,306,450,402,169,213, 81, 25,252,319,438,
406,175,202, 94, 13,256,325,427,419,163,206,100)( 3,259,315,426,424,
162,216, 98, 7,270,303,434,415,151,224, 87, 16,273,307,445,403,159,
215, 76, 24,262,316,448,407,170,203, 84, 15,251,324,437,416,173,207,
95)( 4,264,311,446,422,167,218, 83, 10,255,304,439,411,171,222, 92,
18,258,310,430,404,164,211, 96, 22,267,318,433,410,155,204, 89, 11,
271,322,442,418,158,210, 80)( 5,254,314,436,421,172,217, 93, 8,260,
305,429,414,161,221, 97, 17,268,308,435,405,154,214, 86, 21,272,317,
443,408,160,205, 79, 14,261,321,447,417,168,208, 85)( 26,149,337, 66,
398,282,195,453, 34,140,326, 74,387,291,198,457, 45,128,334, 65,376,
299,187,466, 48,132,345, 53,384,290,176,474, 37,141,348, 57,395,278,
184,465)( 27,144,338, 56,400,277,194,463, 31,150,327, 69,388,281,200,
452, 44,138,331, 75,377,294,188,456, 50,127,344, 63,381,300,177,469,
38,131,350, 52,394,288,181,475)( 28,134,340, 51,399,287,191,473, 32,
145,328, 59,390,276,199,462, 41,148,332, 70,378,284,190,451, 49,137,
341, 73,382,295,178,459, 40,126,349, 62,391,298,182,470)
( 29,139,336, 71,397,292,193,458, 35,130,329, 64,386,296,197,467, 43,
133,335, 55,379,289,186,471, 47,142,343, 58,385,280,179,464, 36,146,
347, 67,393,283,185,455)( 30,129,339, 61,396,297,192,468, 33,135,330,
54,389,286,196,472, 42,143,333, 60,380,279,189,461, 46,147,342, 68,
383,285,180,454, 39,136,346, 72,392,293,183,460)(101,524,362,566,498,
532,245,578,109,515,351,574,487,541,248,582,120,503,359,565,476,549,
237,591,123,507,370,553,484,540,226,599,112,516,373,557,495,528,234,
590)(102,519,363,556,500,527,244,588,106,525,352,569,488,531,250,577,
119,513,356,575,477,544,238,581,125,502,369,563,481,550,227,594,113,
506,375,552,494,538,231,600)(103,509,365,551,499,537,241,598,107,520,
353,559,490,526,249,587,116,523,357,570,478,534,240,576,124,512,366,
573,482,545,228,584,115,501,374,562,491,548,232,595)(104,514,361,571,
497,542,243,583,110,505,354,564,486,546,247,592,118,508,360,555,479,
539,236,596,122,517,368,558,485,530,229,589,111,521,372,567,493,533,
235,580)(105,504,364,561,496,547,242,593,108,510,355,554,489,536,246,
597,117,518,358,560,480,529,239,586,121,522,367,568,483,535,230,579,
114,511,371,572,492,543,233,585)(601,624,612,616,623,607,620,603,609,
615)(602,619,613,606,625)(604,614,611,621,622,617,618,608,610,605) ]
],
[ 42, 829440000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Sym(5) wreath 4", [ "A", 5, 4 ],
[ ( 1,269,302,512,338,457,490,100,424,155,146,291,192,561,593,433,610,123,
34,229)( 2,264,327,387,340,472,415,225,421,170,196,541,193,556,618,
58,609,103, 9,354)( 3,259,352, 12,339,452,390,350,422,165,221,416,
195,571,543,183,606,118, 59,604)( 4,254,252,262,337,462,465,475,425,
175,171,166,191,566,568,558,608,108,109,104)( 5,274,277,137,336,467,
440,600,423,160,246, 41,194,551,518,308,607,113, 84,479)
( 6,369, 52,514,328,382,365, 97,414,205,396,295,197,536,218,431,620,
73,534,228)( 7,364, 77,389,330,397,290,222,411,220,446,545,198,531,
243, 56,619, 53,509,353)( 8,359,102, 14,329,377,265,347,412,215,471,
420,200,546,168,181,616, 68,559,603)( 10,374, 27,139,326,392,315,597,
413,210,496, 45,199,526,143,306,617, 63,584,478)( 11,344,427,515,348,
407,240, 96,419,180,521,293,182,611, 93,434,605, 23,284,227)
( 13,334,477, 15,349,402,140,346,417,190,596,418,185,621, 43,184,601,
18,309,602)( 16,319,552,513,333,482,115, 99,404,130,271,292,187,586,
468,435,625, 48,159,226)( 17,314,577,388,335,497, 40,224,401,145,321,
542,188,581,493, 60,624, 28,134,351)( 19,304,502,263,332,487, 90,474,
405,150,296,167,186,591,443,560,623, 33,234,101)( 20,324,527,138,331,
492, 65,599,403,135,371, 42,189,576,393,310,622, 38,209,476)
( 21,294,177,511,343,432,615, 98,409,230)( 22,289,202,386,345,447,540,
223,406,245, 71,544,178,506,368, 57,614, 78,384,355)( 24,279,127,261,
342,437,590,473,410,250, 46,169,176,516,318,557,613, 83,484,105)
( 25,299,152,136,341,442,565,598,408,235,121, 44,179,501,268,307,612,
88,459,480)( 26,144,301,517,313,582,488, 85,499, 30,149,276,142,311,
592,438,585,498, 35,249)( 29,129,251,267,312,587,463,460,500, 50,174,
151,141,316,567,563,583,483,110,124)( 31,244, 51,519,303,507,363, 82,
489, 80,399,280,147,286,217,436,595,448,535,248)( 32,239, 76,394,305,
522,288,207,486, 95,449,530,148,281,242, 61,594,428,510,373)
( 36,219,426,520,323,532,238, 81,494, 55,524,278,132,361, 92,439,580,
398,285,247)( 37,214,451,395,325,547,163,206,491, 70,574,528,133,356,
117, 64,579,378,260,372)( 39,204,376,270,322,537,213,456,495, 75,549,
153,131,366, 67,564,578,383,360,122)( 47,164,201,391,320,572,538,208,
481,120, 74,529,128,256,367, 62,589,453,385,375)( 49,154,126,266,317,
562,588,458,485,125)( 54,504,253,257,362, 87,464,455,400,300,172,161,
216,441,570,573,533,233,106,119)( 66,569,553,508,358,107,114, 79,379,
255,272,287,212,461,470,450,550,173,156,241)( 69,554,503,258,357,112,
89,454,380,275,297,162,211,466,445,575,548,158,231,116)
( 72,539,203,381,370)( 86,469,430,525,298,157,236, 91,444,555,523,283,
232,111, 94,429,505,273,282,237),
( 1,367,376,369,381,319,506,318,511,343,136,345,146,295, 21,292)
( 2,352,476,494,384,309,556,568,513,338,211,220,150,300, 46, 42)
( 3,362,451,244,385,324,531, 68,512,328,236,470,149,285, 71,542)
( 4,357,426,619,383,314,581,193,515,348,161, 95,147,280,121,417)
( 5,372,401,119,382,304,606,443,514,333,186,595,148,290, 96,167)
( 6,317,501,368,386,344,131,320,521,293, 11,342,126,370,396,294)
( 7,302,601,493,389,334,181,570,523,288, 86,217,130,375,421, 44)
( 8,312,576,243,390,349,156, 70,522,278,111,467,129,360,446,544)
( 9,307,551,618,388,339,206,195,525,298, 36, 92,127,355,496,419)
( 10,322,526,118,387,329,231,445,524,283, 61,592,128,365,471,169)
( 12,327,226,495,399,284, 56,567,503,363,461,219,135,325,546, 43)
( 13,337,201,245,400,299, 31, 67,502,353,486,469,134,310,571,543)
( 14,332,176,620,398,289, 81,192,505,373,411, 94,132,305,621,418)
( 15,347,151,120,397,279,106,442,504,358,436,594,133,315,596,168)
( 16,267,251,366,391,269,256,316,516,268,261,341,141,270,271,291)
( 17,252,351,491,394,259,306,566,518,263,336,216,145,275,296, 41)
( 18,262,326,241,395,274,281, 66,517,253,361,466,144,260,321,541)
( 19,257,301,616,393,264,331,191,520,273,286, 91,142,255,371,416)
( 20,272,276,116,392,254,356,441,519,258,311,591,143,265,346,166)
( 22,277,101,492,379,359,431,569,508,313,586,218,140,350,171, 45)
( 23,287, 76,242,380,374,406, 69,507,303,611,468,139,335,196,545)
( 24,282, 51,617,378,364,456,194,510,323,536, 93,137,330,246,420)
( 25,297, 26,117,377,354,481,444,509,308,561,593,138,340,221,170)
( 27,102,477,479,484,434,559,558,563,588,213,215,225,175, 50, 47)
( 28,112,452,229,485,449,534, 58,562,578,238,465,224,160, 75,547)
( 29,107,427,604,483,439,584,183,565,598,163, 90,222,155,125,422)
( 30,122,402,104,482,429,609,433,564,583,188,590,223,165,100,172)
( 32, 52,602,478,489,459,184,560,573,538, 88,212,205,250,425, 49)
( 33, 62,577,228,490,474,159, 60,572,528,113,462,204,235,450,549)
( 34, 57,552,603,488,464,209,185,575,548, 38, 87,202,230,500,424)
( 35, 72,527,103,487,454,234,435,574,533, 63,587,203,240,475,174)
( 37, 77,227,480,499,409, 59,557,553,613,463,214,210,200,550, 48)
( 39, 82,177,605,498,414, 84,182,555,623,413, 89,207,180,625,423)
( 40, 97,152,105,497,404,109,432,554,608,438,589,208,190,600,173)
( 53,612,453,239,460,199,535, 73,537, 78,237,455,249,410, 74,532)
( 54,607,428,614,458,189,585,198,540, 98,162, 80,247,405,124,407)
( 55,622,403,114,457,179,610,448,539, 83,187,580,248,415, 99,157)
( 64,582,178,615,473,164, 85,197,530,123,412, 79,232,430,624,408)
( 65,597,153,115,472,154,110,447,529,108,437,579,233,440,599,158) ] ],
[ 43, 829440000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
"Alt(5)^4:2^3:D_8", [ "A", 5, 4 ],
[ ( 1, 81, 93,113,105, 10, 16, 86, 78,108,120, 15)( 2, 56, 92, 63,102, 60,
17, 61, 77, 58,117, 65)( 3,106, 95, 13,101, 85, 18,111, 80, 8,116,
90)( 4, 31, 94, 38,104, 35, 19, 36, 79, 33,119, 40)
( 5, 6, 91, 88,103,110, 20, 11, 76, 83,118,115)( 7, 66, 87, 53,107,
70, 12, 51, 82, 68,112, 55)( 9, 41, 89, 28,109, 45, 14, 26, 84, 43,
114, 30)( 21, 96, 98,123,125, 25)( 22, 71, 97, 73,122, 75)
( 23,121,100)( 24, 46, 99, 48,124, 50)( 27, 59, 42, 64)
( 29, 34, 44, 39)( 32, 69, 37, 54)( 47, 74)( 52, 57, 67, 62)
(126,331,593,488,230,260,516,461,203,358,620,390)(127,306,592,438,227,
310,517,436,202,308,617,440)(128,356,595,388,226,335,518,486,205,258,
616,465)(129,281,594,413,229,285,519,411,204,283,619,415)
(130,256,591,463,228,360,520,386,201,333,618,490)(131,341,588,478,235,
270,511,451,208,368,615,380)(132,316,587,428,232,320,512,426,207,318,
612,430)(133,366,590,378,231,345,513,476,210,268,611,455)
(134,291,589,403,234,295,514,401,209,293,614,405)(135,266,586,453,233,
370,515,376,206,343,613,480)(136,326,583,493,240,255,506,466,213,353,
610,395)(137,301,582,443,237,305,507,441,212,303,607,445)
(138,351,585,393,236,330,508,491,215,253,606,470)(139,276,584,418,239,
280,509,416,214,278,609,420)(140,251,581,468,238,355,510,391,211,328,
608,495)(141,336,578,483,245,265,501,456,218,363,605,385)
(142,311,577,433,242,315,502,431,217,313,602,435)(143,361,580,383,241,
340,503,481,220,263,601,460)(144,286,579,408,244,290,504,406,219,288,
604,410)(145,261,576,458,243,365,505,381,216,338,603,485)
(146,346,598,498,250,275,521,471,223,373,625,400)(147,321,597,448,247,
325,522,446,222,323,622,450)(148,371,600,398,246,350,523,496,225,273,
621,475)(149,296,599,423,249,300,524,421,224,298,624,425)
(150,271,596,473,248,375,525,396,221,348,623,500)(151,334,543,489,155,
259,541,464,153,359,545,389)(152,309,542,439)(154,284,544,414)
(156,344,538,479,160,269,536,454,158,369,540,379)(157,319,537,429)
(159,294,539,404)(161,329,533,494,165,254,531,469,163,354,535,394)
(162,304,532,444)(164,279,534,419)(166,339,528,484,170,264,526,459,
168,364,530,384)(167,314,527,434)(169,289,529,409)(171,349,548,499,
175,274,546,474,173,374,550,399)(172,324,547,449)(174,299,549,424)
(176,332,568,487,180,257,566,462,178,357,570,387)(177,307,567,437)
(179,282,569,412)(181,342,563,477,185,267,561,452,183,367,565,377)
(182,317,562,427)(184,292,564,402)(186,327,558,492,190,252,556,467,
188,352,560,392)(187,302,557,442)(189,277,559,417)(191,337,553,482,
195,262,551,457,193,362,555,382)(192,312,552,432)(194,287,554,407)
(196,347,573,497,200,272,571,472,198,372,575,397)(197,322,572,447)
(199,297,574,422), ( 1,188,345,479,523,286,235,472)( 2, 63,320,494,
524,536,160,457)( 3,313,370,499,521,161,210,452)( 4,563,295,484,
522, 36,185,467)( 5,438,270,489,525,411,135,462)( 6,187, 95,429,
518,289,610,422)( 7, 62, 70,444,519,539,535,407)( 8,312,120,449,
516,164,585,402)( 9,562, 45,434,517, 39,560,417)( 10,437, 20,439,
520,414,510,412)( 11,190,470,379,513,290,485,397)( 12, 65,445,394,
514,540,410,382)( 13,315,495,399,511,165,460,377)( 14,565,420,384,
512, 40,435,392)( 15,440,395,389,515,415,385,387)( 16,189,595,404,
508,287,110,447)( 17, 64,570,419,509,537, 35,432)( 18,314,620,424,
506,162, 85,427)( 19,564,545,409,507, 37, 60,442)( 21,186,220,454,
503,288,360,497)( 22, 61,195,469,504,538,285,482)( 23,311,245,474,
501,163,335,477)( 24,561,170,459,502, 38,310,492)( 25,436,145,464,
505,413,260,487)( 26,183,342,104,573,291,234,597)( 27, 58,317,119,
574,541,159,582)( 28,308,367,124,571,166,209,577)( 29,558,292,109,
572, 41,184,592)( 30,433,267,114,575,416,134,587)( 31,182, 92, 54,
568,294,609,547)( 32, 57, 67, 69,569,544,534,532)( 33,307,117, 74,
566,169,584,527)( 34,557, 42, 59,567, 44,559,542)( 43,309,617, 49,
556,167, 84,552)( 46,181,217, 79,553,293,359,622)( 47, 56,192, 94,
554,543,284,607)( 48,306,242, 99,551,168,334,602)( 50,431,142, 89,
555,418,259,612)( 51,193,344,604,548,281,232, 97)( 52, 68,319,619,
549,531,157, 82)( 53,318,369,624,546,156,207, 77)( 55,443,269,614,
550,406,132, 87)( 66,194,594,529,533,282,107, 72)( 71,191,219,579,
528,283,357,122)( 73,316,244,599,526,158,332,102)( 75,441,144,589,
530,408,257,112)( 76,178,343,354,623,296,231,222)( 78,303,368,374,
621,171,206,202)( 80,428,268,364,625,421,131,212)( 81,177, 93,304,
618,299,606,172)( 83,302,118,324,616,174,581,152)( 86,180,468,254,
613,300,481,147)( 88,305,493,274,611,175,456,127)( 90,430,393,264,
615,425,381,137)( 91,179,593,279,608,297,106,197)( 96,176,218,329,
603,298,356,247)( 98,301,243,349,601,173,331,227)(100,426,143,339,
605,423,256,237)(101,198,341,229,598,276,233,347)(103,323,366,249,
596,151,208,327)(105,448,266,239,600,401,133,337)(108,322,116,199,
591,154,583,277)(111,200,466,129,588,280,483,272)(113,325,491,149,
586,155,458,252)(115,450,391,139,590,405,383,262)(121,196,216,204,
578,278,358,372)(123,321,241,224,576,153,333,352)(125,446,141,214,
580,403,258,362)(126,213,330,478,273,361,250,471)(128,338,355,498,
271,236,225,451)(130,463,255,488,275,486,150,461)(136,215,455,378,
263,365,500,396)(138,340,480,398,261,240,475,376)(140,465,380,388,
265,490,400,386)(146,211,205,453,253,363,375,496)(148,336,230,473,
251,238,350,476)(201,203,328,353,373,371,246,221)(223,326,228,348,
351,248,346,226), ( 1,150,383,254, 21,135,378,274, 6,130,398,259)
( 2,147,382,252, 22,132,377,272, 7,127,397,257)( 3,149,381,255, 23,
134,376,275, 8,129,396,260)( 4,146,385,253, 24,131,380,273, 9,126,
400,258)( 5,148,384,251, 25,133,379,271, 10,128,399,256)
( 11,140,388,264)( 12,137,387,262)( 13,139,386,265)( 14,136,390,263)
( 15,138,389,261)( 16,145,393,269)( 17,142,392,267)( 18,144,391,270)
( 19,141,395,268)( 20,143,394,266)( 26,225,408,329, 46,210,403,349,
31,205,423,334)( 27,222,407,327, 47,207,402,347, 32,202,422,332)
( 28,224,406,330, 48,209,401,350, 33,204,421,335)( 29,221,410,328, 49,
206,405,348, 34,201,425,333)( 30,223,409,326, 50,208,404,346, 35,203,
424,331)( 36,215,413,339)( 37,212,412,337)( 38,214,411,340)
( 39,211,415,338)( 40,213,414,336)( 41,220,418,344)( 42,217,417,342)
( 43,219,416,345)( 44,216,420,343)( 45,218,419,341)( 51,250,433,354,
71,235,428,374, 56,230,448,359)( 52,247,432,352, 72,232,427,372, 57,
227,447,357)( 53,249,431,355, 73,234,426,375, 58,229,446,360)
( 54,246,435,353, 74,231,430,373, 59,226,450,358)( 55,248,434,351, 75,
233,429,371, 60,228,449,356)( 61,240,438,364)( 62,237,437,362)
( 63,239,436,365)( 64,236,440,363)( 65,238,439,361)( 66,245,443,369)
( 67,242,442,367)( 68,244,441,370)( 69,241,445,368)( 70,243,444,366)
( 76,175,458,279, 96,160,453,299, 81,155,473,284)( 77,172,457,277, 97,
157,452,297, 82,152,472,282)( 78,174,456,280, 98,159,451,300, 83,154,
471,285)( 79,171,460,278, 99,156,455,298, 84,151,475,283)
( 80,173,459,276,100,158,454,296, 85,153,474,281)( 86,165,463,289)
( 87,162,462,287)( 88,164,461,290)( 89,161,465,288)( 90,163,464,286)
( 91,170,468,294)( 92,167,467,292)( 93,169,466,295)( 94,166,470,293)
( 95,168,469,291)(101,200,483,304,121,185,478,324,106,180,498,309)
(102,197,482,302,122,182,477,322,107,177,497,307)(103,199,481,305,123,
184,476,325,108,179,496,310)(104,196,485,303,124,181,480,323,109,176,
500,308)(105,198,484,301,125,183,479,321,110,178,499,306)
(111,190,488,314)(112,187,487,312)(113,189,486,315)(114,186,490,313)
(115,188,489,311)(116,195,493,319)(117,192,492,317)(118,194,491,320)
(119,191,495,318)(120,193,494,316)(501,525,508,504,521,510,503,524,
506,505,523,509)(502,522,507)(511,515,513,514)(516,520,518,519)
(526,600,533,579,546,585,528,599,531,580,548,584)(527,597,532,577,547,
582)(529,596,535,578,549,581,530,598,534,576,550,583)(536,590,538,589
)(537,587)(539,586,540,588)(541,595,543,594)(542,592)(544,591,545,593
)(551,625,558,604,571,610,553,624,556,605,573,609)(552,622,557,602,
572,607)(554,621,560,603,574,606,555,623,559,601,575,608)
(561,615,563,614)(562,612)(564,611,565,613)(566,620,568,619)(567,617)
(569,616,570,618) ] ],
[ 44, 1244160000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 96, 1 ] ], 1,
"Alt(5)^4:2^3:Alt(4)", [ "A", 5, 4 ],
[ ( 1,545)( 2,550, 51,544, 6,595, 3,540,101,542, 21,570, 4,535, 76,543,
11,620)( 5,530, 26,541, 16,520)( 7,600, 53,539,106,592, 23,565,104,
532, 96,568, 14,610, 77,548, 61,619)( 8,590,103,537,121,567, 24,560,
79,533, 86,618, 12,625, 52,549, 56,594)( 9,585, 78,538,111,617, 22,
575, 54,534, 81,593, 13,615,102,547, 71,569)( 10,580, 28,536,116,517,
25,555, 29,531, 91,518, 15,605, 27,546, 66,519)( 17,525, 55,529, 31,
591, 18,515,105,527, 46,566, 19,510, 80,528, 36,616)( 20,505, 30,526,
41,516)( 32,596, 68,514,110,577, 48,561,119,507,100,553, 39,606, 92,
523, 65,604)( 33,586,118,512,125,552, 49,556, 94,508, 90,603, 37,621,
67,524, 60,579)( 34,581, 93,513,115,602, 47,571, 69,509, 85,578, 38,
611,117,522, 75,554)( 35,576, 43,511,120,502, 50,551, 44,506, 95,503,
40,601, 42,521, 70,504)( 45,501)( 57,599, 58,589,108,587,123,562,124,
557, 99,558, 89,608, 87,623, 62,624)( 59,584, 83,588,113,612,122,572,
74,559, 84,583, 88,613,112,622, 72,574)( 63,614,107,597, 73,564,109,
582, 98,563,114,607, 97,573, 64,609, 82,598)(126,420,251,170,376,295)
(127,425,301,169,381,345,128,415,351,167,396,320,129,410,326,168,386,
370)(130,405,276,166,391,270)(131,470,253,165,476,292,146,445,254,
160,451,293,136,495,252,175,426,294)(132,475,303,164,481,342,148,440,
354,157,471,318,139,485,327,173,436,369)(133,465,353,162,496,317,149,
435,329,158,461,368,137,500,302,174,431,344)(134,460,328,163,486,367,
147,450,304,159,456,343,138,490,352,172,446,319)(135,455,278,161,491,
267,150,430,279,156,466,268,140,480,277,171,441,269)(141,395,255,155,
401,291)(142,400,305,154,406,341,143,390,355,152,421,316,144,385,330,
153,411,366)(145,380,280,151,416,266)(176,419,256,220,378,290,226,
417,271,195,379,285,201,418,261,245,377,300)(177,424,306,219,383,340,
228,412,371,192,399,310,204,408,336,243,387,375)(178,414,356,217,398,
315,229,407,346,193,389,360,202,423,311,244,382,350)(179,409,331,218,
388,365,227,422,321,194,384,335,203,413,361,242,397,325)
(180,404,281,216,393,265,230,402,296,191,394,260,205,403,286,241,392,
275)(181,469,258,215,478,287,246,442,274,185,454,283,211,493,262,250,
427,299)(182,474,308,214,483,337,248,437,374)(183,464,358,212,498,
312,249,432,349)(184,459,333,213,488,362,247,447,324)
(186,494,257,225,428,289,231,467,273,190,479,282,221,443,264,235,452,
298)(187,499,307,224,433,339,233,462,373)(188,489,357,222,448,314,
234,457,348)(189,484,332,223,438,364,232,472,323)(196,444,259,210,
453,288,236,492,272,200,429,284,206,468,263,240,477,297)
(197,449,309,209,458,338,238,487,372)(198,439,359,207,473,313,239,482,
347)(199,434,334,208,463,363,237,497,322),
( 1,562,104,287, 9,313,484,293,381,568,476,542)( 2, 62,114,289,259,
308,483,418,391,566,601,527)( 3,437,119,286,509,303,482, 43,386,569,
351,532)( 4,312,109,288,384,318,481,543,376,567,101,537)
( 5,187,124,290,134,323,485,168,396,570,226,547)( 6,563,479,292)
( 7, 63,489,294,256,558,478,417, 16,561,604,277)( 8,438,494,291,506,
553,477, 42, 11,564,354,282)( 10,188,499,295,131,573,480,167, 21,565,
229,297)( 12, 64,364,284,258,433,493,416,516,551,602, 27)
( 13,439,369,281,508,428,492, 41,511,554,352, 32)( 14,314,359,283,383,
443,491,541,501,552,102, 37)( 15,189,374,285,133,448,495,166,521,555,
227, 47)( 17, 61,614,279,257, 58,488,419,266,556,603,402)
( 18,436,619,276,507, 53,487, 44,261,559,353,407)( 19,311,609,278,382,
68,486,544,251,557,103,412)( 20,186,624,280,132, 73,490,169,271,560,
228,422)( 22, 65,239,299,260,183,498,420,141,571,605,152)
( 23,440,244,296,510,178,497, 45,136,574,355,157)( 24,315,234,298,385,
193,496,545,126,572,105,162)( 25,190,249,300,135,198,500,170,146,575,
230,172)( 26,512, 54,362, 34,263,434,368,406,518,426,617)
( 28,387, 69,361,534,253,432,118,411,519,301,607)( 29,262, 59,363,409,
268,431,618,401,517, 51,612)( 30,137, 74,365,159,273,435,243,421,520,
176,622)( 31,513,429,367)( 33,388,444,366,531,503,427,117, 36,514,
304,357)( 35,138,449,370,156,523,430,242, 46,515,179,372)
( 38,389,319,356,533,378,442,116,536,504,302,107)( 39,264,309,358,408,
393,441,616,526,502, 52,112)( 40,139,324,360,158,398,445,241,546,505,
177,122)( 48,390,194,371,535,128,447,120,161,524,305,232)
( 49,265,184,373,410,143,446,620,151,522, 55,237)( 50,140,199,375,160,
148,450,245,171,525,180,247)( 56,613,404,267)( 57,113,414,269,306,
608,403,392, 66,611,529,252)( 60,238,424,270,181,623,405,142, 71,615,
154,272)( 67,111,539,254,307,108,413,394,316,606,528,377)
( 70,236,549,255,182,123,415,144,321,610,153,397)( 72,115,164,274,310,
233,423,395,191,621,530,127)( 75,240,174,275,185,248,425,145,196,625,
155,147)( 76,587, 79,337, 84,338,459,343,456,593,451,592)
( 77, 87, 89,339,334,333,458,468,466,591,576,577)( 78,462, 94,336,584,
328,457, 93,461,594,326,582)( 80,212, 99,340,209,348,460,218,471,595,
201,597)( 81,588,454,342)( 82, 88,464,344,331,583,453,467, 91,586,
579,327)( 83,463,469,341,581,578,452, 92, 86,589,329,332)
( 85,213,474,345,206,598,455,217, 96,590,204,347)( 90,214,349,335,208,
473,470,216,596,580,202, 97)( 95,211,599,330,207, 98,465,219,346,585,
203,472)(100,215,224,350,210,223,475,220,221,600,205,222)
(106,538,379,317)(110,163,399,320,231,548,380,192,121,540,129,322)
(125,165,149,325,235,173,400,195,246,550,130,197)(150,200,250,175),
( 1,511,507,258,148,145,394, 4, 11,512,257,273,150,395,379)
( 2,261,522,260,398,130,391,504, 6,513,132,268,149, 20,389)
( 3,136,517,259, 23,140,392,254, 21,515,382,253,146,520,384)
( 5,386,502,256,523,135,393,129, 16,514, 7,263,147,270,399)
( 8,138,142,269, 24, 15,387,252,271,525,385,378,126,516,509)
( 9, 13,137,267,274, 25,390,377,251,521,510,383,128,141,519)
( 10,388,127,266,524)( 12,262,272,275,400,380,376,501,506,508,133,143,
144, 19, 14)( 17,264, 22,265,397,255,396,505,381,503,131,518,134, 18,
139)( 26,561,532,308,173,195,419, 54, 36,562,282,323,175,445,404, 51,
536,557,283,198,170,444, 29, 61,537,307,298,200,420,429)
( 27,311,547,310,423,180,416,554, 31,563,157,318,174, 70,414, 52,286,
572,285,448,155,441,529, 56,538,182,293,199, 45,439)( 28,186,542,309,
48,190,417,304, 46,565,407,303,171,570,409, 53,161,567,284, 73,165,
442,279, 71,540,432,278,196,545,434)( 30,436,527,306,548,185,418,179,
41,564, 32,313,172,320,424, 55,411,552,281,573,160,443,154, 66,539,
57,288,197,295,449)( 33,188,167,319, 49, 65,412,302,296,575,410,428,
151,566,534, 58,163,192,294, 74, 40,437,277,321,550,435,403,176,541,
559)( 34, 63,162,317,299, 75,415,427,276,571,535,433,153,191,544, 59,
38,187,292,324, 50,440,402,301,546,560,408,178,166,569)
( 35,438,152,316,549, 60,413,177,291,574)( 37,312,297,325,425,430,401,
551,531,558,158,193,169, 69, 39, 62,287,322,300,450,405,426,526,556,
533,183,168,194, 44, 64)( 42,314, 47,315,422,305,421,555,406,553,156,
568,159, 68,164, 67,289, 72,290,447,280,446,530,431,528,181,543,184,
43,189)( 76,611,582,358,223,245,469,104, 86,612,332,373,225,495,454,
101,586,607,333,248,220,494, 79,111,587,357,348,250,470,479)
( 77,361,597,360,473,230,466,604, 81,613,207,368,224,120,464,102,336,
622,335,498,205,491,579,106,588,232,343,249, 95,489)( 78,236,592,359,
98,240,467,354, 96,615,457,353,221,620,459,103,211,617,334,123,215,
492,329,121,590,482,328,246,595,484)( 80,486,577,356,598,235,468,229,
91,614, 82,363,222,370,474,105,461,602,331,623,210,493,204,116,589,
107,338,247,345,499)( 83,238,217,369, 99,115,462,352,346,625,460,478,
201,616,584,108,213,242,344,124, 90,487,327,371,600,485,453,226,591,
609)( 84,113,212,367,349,125,465,477,326,621,585,483,203,241,594,109,
88,237,342,374,100,490,452,351,596,610,458,228,216,619)
( 85,488,202,366,599,110,463,227,341,624)( 87,362,347,375,475,480,451,
601,581,608,208,243,219,119, 89,112,337,372,350,500,455,476,576,606,
583,233,218,244, 94,114)( 92,364, 97,365,472,355,471,605,456,603,206,
618,209,118,214,117,339,122,340,497,330,496,580,481,578,231,593,234,
93,239) ] ],
[ 45, 1658880000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ],
1, "Alt(5)^4.2^4:D_8", [ "A", 5, 4 ],
[ ( 1,151,196,271,281,431,386,536,566, 16, 26,176,146,296,306,381,411,561,
516, 41, 51,126,171,321,256,406,436,511,541, 66)( 2,154,198,275,282,
434,388,540,567, 19, 28,180,147,299,308,385,412,564,518, 45, 52,129,
173,325,257,409,438,515,542, 69, 3,155,197,274,283,435,387,539,568,
20, 27,179,148,300,307,384,413,565,517, 44, 53,130,172,324,258,410,
437,514,543, 70)( 4,153,200,272,284,433,390,537,569, 18, 30,177,149,
298,310,382,414,563,520, 42, 54,128,175,322,259,408,440,512,544, 68,
5,152,199,273,285,432,389,538,570, 17, 29,178,150,297,309,383,415,
562,519, 43, 55,127,174,323,260,407,439,513,545, 67)( 6,401,186,521,
291, 56,376,161,571,266, 31,426,136,546,316)( 7,404,188,525,292, 59,
378,165,572,269, 33,430,137,549,318, 10,402,189,523,295, 57,379,163,
575,267, 34,428,140,547,319, 8,405,187,524,293, 60,377,164,573,270,
32,429,138,550,317, 9,403,190,522,294, 58,380,162,574,268, 35,427,
139,548,320)( 11,526,191, 21,276,181,396,286,556,391, 36,551,141, 46,
301,131,421,311,506,416, 61,501,166, 71,251,156,446,261,531,441)
( 12,529,193, 25,277,184,398,290,557,394, 38,555,142, 49,303,135,422,
314,508,420, 62,504,168, 75,252,159,448,265,532,444, 13,530,192, 24,
278,185,397,289,558,395, 37,554,143, 50,302,134,423,315,507,419, 63,
505,167, 74,253,160,447,264,533,445)( 14,528,195, 22,279,183,400,287,
559,393, 40,552,144, 48,305,132,424,313,510,417, 64,503,170, 72,254,
158,450,262,534,443, 15,527,194, 23,280,182,399,288,560,392, 39,553,
145, 47,304,133,425,312,509,418, 65,502,169, 73,255,157,449,263,535,
442)( 76,201,221,346,331,456,461,586,591, 91)( 77,204,223,350,332,
459,463,590,592, 94, 78,205,222,349,333,460,462,589,593, 95)
( 79,203,225,347,334,458,465,587,594, 93, 80,202,224,348,335,457,464,
588,595, 92)( 81,451,211,596,341)( 82,454,213,600,342, 84,453,215,
597,344, 83,455,212,599,343, 85,452,214,598,345)( 86,576,216, 96,326,
206,471,336,581,466)( 87,579,218,100,327,209,473,340,582,469, 88,580,
217, 99,328,210,472,339,583,470)( 89,578,220, 97,329,208,475,337,584,
468, 90,577,219, 98,330,207,474,338,585,467)(101,226,246,371,356,481,
486,611,616,116)(102,229,248,375,357,484,488,615,617,119,103,230,247,
374,358,485,487,614,618,120)(104,228,250,372,359,483,490,612,619,118,
105,227,249,373,360,482,489,613,620,117)(106,476,236,621,366)
(107,479,238,625,367,109,478,240,622,369,108,480,237,624,368,110,477,
239,623,370)(111,601,241,121,351,231,496,361,606,491)
(112,604,243,125,352,234,498,365,607,494,113,605,242,124,353,235,497,
364,608,495)(114,603,245,122,354,233,500,362,609,493,115,602,244,123,
355,232,499,363,610,492), ( 1,621,105,575, 54,549, 28,523)
( 2,596,102,600, 52,599, 27,598)( 3,521,101,625, 55,574, 29,548)
( 4,546,103,525, 51,624, 30,573)( 5,571,104,550, 53,524, 26,623)
( 6,606,110,560, 59,534, 33,508)( 7,581,107,585, 57,584, 32,583)
( 8,506,106,610, 60,559, 34,533)( 9,531,108,510, 56,609, 35,558)
( 10,556,109,535, 58,509, 31,608)( 11,616,115,570, 64,544, 38,518)
( 12,591,112,595, 62,594, 37,593)( 13,516,111,620, 65,569, 39,543)
( 14,541,113,520, 61,619, 40,568)( 15,566,114,545, 63,519, 36,618)
( 16,611,120,565, 69,539, 43,513)( 17,586,117,590, 67,589, 42,588)
( 18,511,116,615, 70,564, 44,538)( 19,536,118,515, 66,614, 45,563)
( 20,561,119,540, 68,514, 41,613)( 21,601,125,555, 74,529, 48,503)
( 22,576,122,580, 72,579, 47,578)( 23,501,121,605, 75,554, 49,528)
( 24,526,123,505, 71,604, 50,553)( 25,551,124,530, 73,504, 46,603)
( 76,622, 80,572, 79,547, 78,522)( 77,597)( 81,607, 85,557, 84,532,
83,507)( 82,582)( 86,617, 90,567, 89,542, 88,517)( 87,592)
( 91,612, 95,562, 94,537, 93,512)( 92,587)( 96,602,100,552, 99,527,
98,502)( 97,577)(126,496,355,200,429,299,153,398,251,246,480,325,
179,424,278,148,376,371,230,450,304,174,403,273)(127,471,352,225,427,
349,152,473,252,221,477,350,177,474,277,223,377,346,227,475,302,224,
402,348)(128,396,351,250,430,324,154,423,253,146,476,375,180,449,279,
173,378,271,226,500,305,199,404,298)(129,421,353,150,426,374,155,448,
254,171,478,275,176,499,280,198,379,296,228,400,301,249,405,323)
(130,446,354,175,428,274,151,498,255,196,479,300,178,399,276,248,380,
321,229,425,303,149,401,373)(131,481,360,185,434,284,158,383,256,231,
485,310,184,409,283,133,381,356,235,435,309,159,408,258)
(132,456,357,210,432,334,157,458,257,206,482,335,182,459,282,208,382,
331,232,460,307,209,407,333)(134,406,358,135,431,359,160,433,259,156,
483,260,181,484,285,183,384,281,233,385,306,234,410,308)
(136,491,365,195,439,294,163,393,261,241,490,320,189,419,288,143,386,
366,240,445,314,169,413,268)(137,466,362,220,437,344,162,468,262,216,
487,345,187,469,287,218,387,341,237,470,312,219,412,343)
(138,391,361,245,440,319,164,418,263,141,486,370,190,444,289,168,388,
266,236,495,315,194,414,293)(139,416,363,145,436,369,165,443,264,166,
488,270,186,494,290,193,389,291,238,395,311,244,415,318)
(140,441,364,170,438,269,161,493,265,191,489,295,188,394,286,243,390,
316,239,420,313,144,411,368)(142,461,367,215,442,339,167,463,267,211,
492,340,192,464,292,213,392,336,242,465,317,214,417,338)
(147,451,372,205,447,329,172,453,272,201,497,330,197,454,297,203,397,
326,247,455,322,204,422,328)(202,472,327,222,452,347)(207,457,332)
(212,467,337,217,462,342),
( 1,610,277,496,504,232,403,124,130,358, 26,625,252,481,529,247,378,
109,155,373)( 2,485,279,246,503,107,405,374,126,608, 27,500,254,231,
528,122,380,359,151,623)( 3,110,280,371,501,607,402,499,129,233, 28,
125,255,356,526,622,377,484,154,248)( 4,235,278,121,505,357,401,624,
127,483, 29,250,253,106,530,372,376,609,152,498)( 5,360,276,621,502,
482,404,249,128,108, 30,375,251,606,527,497,379,234,153,123)
( 6,535,297,396,509,157,423, 24,135,283, 46,525,257,406,549,147,383,
34,175,273)( 7,410,299,146,508, 32,425,274,131,533, 47,400,259,156,
548, 22,385,284,171,523)( 8, 35,300,271,506,532,422,399,134,158, 48,
25,260,281,546,522,382,409,174,148)( 9,160,298, 21,510,282,421,524,
132,408, 49,150,258, 31,550,272,381,534,172,398)( 10,285,296,521,507,
407,424,149,133, 33, 50,275,256,531,547,397,384,159,173, 23)
( 11,585,292,446,514,207,418, 74,140,333, 41,575,262,456,544,197,388,
84,170,323)( 12,460,294,196,513, 82,420,324,136,583, 42,450,264,206,
543, 72,390,334,166,573)( 13, 85,295,321,511,582,417,449,139,208, 43,
75,265,331,541,572,387,459,169,198)( 14,210,293, 71,515,332,416,574,
137,458, 44,200,263, 81,545,322,386,584,167,448)( 15,335,291,571,512,
457,419,199,138, 83, 45,325,261,581,542,447,389,209,168, 73)
( 16,560,287,471,519,182,413, 99,145,308, 36,600,267,431,539,222,393,
59,165,348)( 17,435,289,221,518, 57,415,349,141,558, 37,475,269,181,
538, 97,395,309,161,598)( 18, 60,290,346,516,557,412,474,144,183, 38,
100,270,306,536,597,392,434,164,223)( 19,185,288, 96,520,307,411,599,
142,433, 39,225,268, 56,540,347,391,559,162,473)( 20,310,286,596,517,
432,414,224,143, 58, 40,350,266,556,537,472,394,184,163, 98)
( 51,615,327,491,554,237,453,119,180,363, 76,620,302,486,579,242,428,
114,205,368)( 52,490,329,241,553,112,455,369,176,613, 77,495,304,236,
578,117,430,364,201,618)( 53,115,330,366,551,612,452,494,179,238, 78,
120,305,361,576,617,427,489,204,243)( 54,240,328,116,555,362,451,619,
177,488, 79,245,303,111,580,367,426,614,202,493)( 55,365,326,616,552,
487,454,244,178,113, 80,370,301,611,577,492,429,239,203,118)
( 61,590,342,441,564,212,468, 69,190,338, 91,570,312,461,594,192,438,
89,220,318)( 62,465,344,191,563, 87,470,319,186,588, 92,445,314,211,
593, 67,440,339,216,568)( 63, 90,345,316,561,587,467,444,189,213, 93,
70,315,336,591,567,437,464,219,193)( 64,215,343, 66,565,337,466,569,
187,463, 94,195,313, 86,595,317,436,589,217,443)( 65,340,341,566,562,
462,469,194,188, 88, 95,320,311,586,592,442,439,214,218, 68)
(101,605,352,476,604,227,478,104,230,353)(102,480,354,226,603)
(103,105,355,351,601,602,477,479,229,228) ] ],
[ 46, 2488320000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 96, 1 ] ], 1,
"Alt(5)^4:2^3:Sym(4)", [ "A", 5, 4 ],
[ ( 1,157, 66,155,117,200,103,222, 63,204, 12,184)( 2,182, 51,152, 67,180,
102,197, 53,202, 62,179)( 3,207, 61,154, 17,185,101,172, 68,205,112,
199)( 4,132, 56,151, 42,195,105,247, 73,203, 87,189)
( 5,232, 71,153, 92,190,104,147, 58,201, 37,194)( 6,156, 41,170,120,
250,123,223, 88,214, 14,134)( 7,181, 26,167, 70,230,122,198, 78,212,
64,129)( 8,206, 36,169, 20,235,121,173, 93,215,114,149)
( 9,131, 31,166, 45,245,125,248, 98,213, 89,139)( 10,231, 46,168, 95,
240,124,148, 83,211, 39,144)( 11,159, 16,160,116,175,118,225,113,224,
13,209)( 15,234, 21,158, 91,165,119,150,108,221, 38,219)
( 18,210,111,174)( 19,135,106,171, 43,220,115,249, 23,208, 86,164)
( 22,183, 76,162, 69,130,107,196, 28,217, 65,229)( 24,133, 81,161, 44,
145,110,246, 48,218, 90,239)( 25,233, 96,163, 94,140,109,146, 33,216,
40,244)( 27,192, 55,227, 72,178, 77,187, 54,127, 57,176)
( 29,142, 60,226, 47,193, 80,237, 74,128, 82,186)( 30,242, 75,228, 97,
188, 79,137, 59,126, 32,191)( 34,141, 35,241, 50,243,100,238, 99,138,
84,136)( 49,143, 85,236)( 52,177)(251,532,441,280,617,450,353,597,
438,329,512,434)(252,557,426,277,567,430,352,572,428,327,562,429)
(253,582,436,279,517,435,351,547,443,330,612,449)(254,507,431,276,542,
445,355,622,448,328,587,439)(255,607,446,278,592,440,354,522,433,326,
537,444)(256,531,416,295,620,500,373,598,463,339,514,384)
(257,556,401,292,570,480,372,573,453,337,564,379)(258,581,411,294,520,
485,371,548,468,340,614,399)(259,506,406,291,545,495,375,623,473,338,
589,389)(260,606,421,293,595,490,374,523,458,336,539,394)
(261,534,391,285,616,425,368,600,488,349,513,459)(262,559,376,282,566,
405,367,575,478,347,563,454)(263,584,386,284,516,410,366,550,493,350,
613,474)(264,509,381,281,541,420,370,625,498,348,588,464)
(265,609,396,283,591,415,369,525,483,346,538,469)(266,535,491,300,618,
475,363,599,388,334,511,409)(267,560,476,297,568,455,362,574,378,332,
561,404)(268,585,486,299,518,460,361,549,393,335,611,424)
(269,510,481,296,543,470,365,624,398,333,586,414)(270,610,496,298,593,
465,364,524,383,331,536,419)(271,533,466,290,619,400,358,596,413,344,
515,484)(272,558,451,287,569,380,357,571,403,342,565,479)
(273,583,461,289,519,385,356,546,418,345,615,499)(274,508,456,286,544,
395,360,621,423,343,590,489)(275,608,471,288,594,390,359,521,408,341,
540,494)(301,527,442,305,602,447,303,577,437,304,502,432)
(302,552,427)(306,526,417,320,605,497,323,578,462,314,504,382)
(307,551,402,317,555,477,322,553,452,312,554,377)(308,576,412,319,505,
482,321,528,467,315,604,397)(309,501,407,316,530,492,325,603,472,313,
579,387)(310,601,422,318,580,487,324,503,457,311,529,392),
( 1,606,564,279,260,115, 51,531,514,354,310, 40)( 2,481,563,154,257,
490, 53,156,512,479,308,165)( 3,231,562,404,258,240, 52,406,513,229,
307,415)( 4,356,565, 29,256,615, 54,281,515,104,306,540)
( 5,106,561,529,259,365, 55, 31,511,604,309,290)( 6,611,554,284,265,
105, 56,536,504,359,315, 30)( 7,486,553,159,262,480, 58,161,502,484,
313,155)( 8,236,552,409,263,230, 57,411,503,234,312,405)
( 9,361,555, 34,261,605, 59,286,505,109,311,530)( 10,111,551,534,264,
355, 60, 36,501,609,314,280)( 11,601,559,289,255,110, 61,526,509,364,
305, 35)( 12,476,558,164,252,485, 63,151,507,489,303,160)
( 13,226,557,414,253,235, 62,401,508,239,302,410)( 14,351,560, 39,251,
610, 64,276,510,114,301,535)( 15,101,556,539,254,360, 65, 26,506,614,
304,285)( 16,616,569,294,270,120, 66,541,519,369,320, 45)
( 17,491,568,169,267,495, 68,166,517,494,318,170)( 18,241,567,419,268,
245, 67,416,518,244,317,420)( 19,366,570, 44,266,620, 69,291,520,119,
316,545)( 20,116,566,544,269,370, 70, 41,516,619,319,295)
( 21,621,574,299,275,125, 71,546,524,374,325, 50)( 22,496,573,174,272,
500, 73,171,522,499,323,175)( 23,246,572,424,273,250, 72,421,523,249,
322,425)( 24,371,575, 49,271,625, 74,296,525,124,321,550)
( 25,121,571,549,274,375, 75, 46,521,624,324,300)( 27,381,613,179,282,
390,103,181,537,379,358,190)( 28,131,612,429,283,140,102,431,538,129,
357,440)( 32,386,603,184,287,380,108,186,527,384,363,180)
( 33,136,602,434,288,130,107,436,528,134,362,430)( 37,376,608,189,277,
385,113,176,532,389,353,185)( 38,126,607,439,278,135,112,426,533,139,
352,435)( 42,391,618,194,292,395,118,191,542,394,368,195)
( 43,141,617,444,293,145,117,441,543,144,367,445)( 47,396,623,199,297,
400,123,196,547,399,373,200)( 48,146,622,449,298,150,122,446,548,149,
372,450)( 76,581,589,329,335, 90)( 77,456,588,204,332,465, 78,206,
587,454,333,215)( 79,331,590)( 80, 81,586,579,334,340)
( 82,461,578,209,337,455, 83,211,577,459,338,205)( 84,336,580)
( 85, 86,576,584,339,330)( 87,451,583,214,327,460, 88,201,582,464,328,
210)( 89,326,585)( 91,591,594,344,345, 95)( 92,466,593,219,342,470,
93,216,592,469,343,220)( 94,341,595)( 96,596,599,349,350,100)
( 97,471,598,224,347,475, 98,221,597,474,348,225)( 99,346,600)
(127,482,438,153,132,487,428,158,137,477,433,163)(128,232,437,403,133,
237,427,408,138,227,432,413)(142,492,443,168)(143,242,442,418)
(147,497,448,173)(148,247,447,423)(152,382,488,178,157,387,478,183,
162,377,483,188)(167,392,493,193)(172,397,498,198)(177,407,388,228,
182,412,378,233,187,402,383,238)(192,417,393,243)(197,422,398,248)
(202,457,463,203,207,462,453,208,212,452,458,213)(217,467,468,218)
(222,472,473,223) ] ],
[ 47, 2488320000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 96, 1 ] ], 1,
"Alt(5)^4:Q_8:Sym(4)", [ "A", 5, 4 ],
[ ( 1,339, 5,338, 2,336, 4,340, 3,337)( 6,589, 55,343,377,286, 9,590,
53,342,376,289, 10,588, 52,341,379,290, 8,587, 51,344,380,288, 7,
586, 54,345,378,287)( 11, 89, 80,328,252,261, 14, 90, 78,327,251,264,
15, 88, 77,326,254,265, 13, 87, 76,329,255,263, 12, 86, 79,330,253,
262)( 16,464, 30,333,502,311, 19,465, 28,332,501,314, 20,463, 27,331,
504,315, 18,462, 26,334,505,313, 17,461, 29,335,503,312)
( 21,214,105,348,127,361, 24,215,103,347,126,364, 25,213,102,346,129,
365, 23,212,101,349,130,363, 22,211,104,350,128,362)( 31,584,555,318,
392,411, 34,585,553,317,391,414, 35,583,552,316,394,415, 33,582,551,
319,395,413, 32,581,554,320,393,412)( 36, 84,580,303,267,386, 39, 85,
578,302,266,389, 40, 83,577,301,269,390, 38, 82,576,304,270,388, 37,
81,579,305,268,387)( 41,459,530,308,517,436, 44,460,528,307,516,439,
45,458,527,306,519,440, 43,457,526,309,520,438, 42,456,529,310,518,
437)( 46,209,605,323,142,486, 49,210,603,322,141,489, 50,208,602,321,
144,490, 48,207,601,324,145,488, 47,206,604,325,143,487)
( 56,594,430,293,382,536, 59,595,428,292,381,539, 60,593,427,291,384,
540, 58,592,426,294,385,538, 57,591,429,295,383,537)( 61, 94,455,278,
257,511, 64, 95,453,277,256,514, 65, 93,452,276,259,515, 63, 92,451,
279,260,513, 62, 91,454,280,258,512)( 66,469,405,283,507,561, 69,470,
403,282,506,564, 70,468,402,281,509,565, 68,467,401,284,510,563, 67,
466,404,285,508,562)( 71,219,480,298,132,611, 74,220,478,297,131,614,
75,218,477,296,134,615, 73,217,476,299,135,613, 72,216,479,300,133,
612)( 96,204,355,273,137,111, 99,205,353,272,136,114,100,203,352,271,
139,115, 98,202,351,274,140,113, 97,201,354,275,138,112)
(106,599,180,368,397,161,109,600,178,367,396,164,110,598,177,366,399,
165,108,597,176,369,400,163,107,596,179,370,398,162)(116,474,155,358,
522,186,119,475,153,357,521,189,120,473,152,356,524,190,118,472,151,
359,525,188,117,471,154,360,523,187)(121,224,230,373,147,236,124,225,
228,372,146,239,125,223,227,371,149,240,123,222,226,374,150,238,122,
221,229,375,148,237)(156,609,575,193,492,421,159,610,573,192,491,424,
160,608,572,191,494,425,158,607,571,194,495,423,157,606,574,195,493,
422)(166,484,550,183,617,446,169,485,548,182,616,449,170,483,547,181,
619,450,168,482,546,184,620,448,167,481,549,185,618,447)
(171,234,625,198,242,496,174,235,623,197,241,499,175,233,622,196,244,
500,173,232,621,199,245,498,172,231,624,200,243,497)(246,249,250,248,
247)(406,534,560,568,442,416,409,535,558,567,441,419,410,533,557,566,
444,420,408,532,556,569,445,418,407,531,559,570,443,417)
(431,544,435,543,432,541,434,545,433,542),
( 1,363, 69,247,591,257,565,399,161,329,183,100,481,295,427,548)
( 2,613, 19,237,594,132,590,384,165,454,158, 80,483, 45,477,543)
( 3,113,119,242,592,507,515,389,164,204,208, 85,485,420,402,528)
( 4,238, 94,232,595,382,540,379,163, 79,233, 95,482,545,377,538)
( 5,488, 44,227,593, 7,615,394,162,579,133, 90,484,170,452,533)
( 6,365,444,172,576,258, 65,499,166,327,558, 25,486,294,177,598)
( 8,115,494,167,577,508, 15,489,169,202,583, 10,490,419,152,578)
( 9,240,469,157,580,383, 40,479,168, 77,608, 20,487,544,127,588)
( 11,364,194,222,581,260,440,424,151,328, 58,125,491,292,552,523)
( 12,614,144,212,584,135,465,409,155,453, 33,105,493, 42,602,518)
( 13,114,244,217,582,510,390,414,154,203, 83,110,495,417,527,503)
( 14,239,219,207,585,385,415,404,153, 78,108,120,492,542,502,513)
( 16,362,569,147,586,259,190,474,156,330,433, 50,476,293, 52,623)
( 17,612,519,137,589,134,215,459,160,455,408, 30,478, 43,102,618)
( 18,112,619,142,587,509,140,464,159,205,458, 35,480,418, 27,603)
( 21,361,319,197,596,256,315,449,171,326,308, 75,496,291,302,573)
( 22,611,269,187,599,131,340,434,175,451,283, 55,498, 41,352,568)
( 23,111,369,192,597,506,265,439,174,201,333, 60,500,416,277,553)
( 24,236,344,182,600,381,290,429,173, 76,358, 70,497,541,252,563)
( 26,353, 68,122,616,267,562,524,136,339,184,225,456,285,430,423)
( 28,103,118,117,617,517,512,514,139,214,209,210,460,410,405,403)
( 29,228, 93,107,620,392,537,504,138, 89,234,220,457,535,380,413)
( 31,355,443, 47,601,268, 62,624,141,337,559,150,461,284,180,473)
( 32,605,393, 37,604,143, 87,609,145,462,534,130,463, 34,230,468)
( 36,354,193, 97,606,270,437,549,126,338, 59,250,466,282,555,398)
( 38,104,243, 92,607,520,387,539,129,213, 84,235,470,407,530,378)
( 39,229,218, 82,610,395,412,529,128, 88,109,245,467,532,505,388)
( 46,351,318, 72,621,266,312,574,146,336,309,200,471,281,305,448)
( 48,101,368, 67,622,516,262,564,149,211,334,185,475,406,280,428)
( 49,226,343, 57,625,391,287,554,148, 86,359,195,472,531,255,438)
( 51,373, 66,372,566,272,561,274,186,349,181,350,431,300,426,298)
( 53,123,116,367,567,522,511,264,189,224,206,335,435,425,401,278)
( 54,248, 91,357,570,397,536,254,188, 99,231,345,432,550,376,288)
( 56,375,441,297,551,273, 61,374,191,347,556,275,436,299,176,348)
( 63,124,241,342,557,525,386,289,179,223, 81,360,445,422,526,253)
( 64,249,216,332,560,400,411,279,178, 98,106,370,442,547,501,263)
( 71,371,316,322,571,271,311,324,196,346,306,325,446,296,301,323)
( 73,121,366,317,572,521,261,314,199,221,331,310,450,421,276,303)
( 74,246,341,307,575,396,286,304,198, 96,356,320,447,546,251,313) ] ],
[ 48, 2488320000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 96, 1 ] ], 1,
"Sym(5) wreath Alt(4)", [ "A", 5, 4 ],
[ ( 1, 81,586,593,623,353,357,262, 17, 21, 76,581,588,618,373,352,257, 12,
16, 96,576,583,613,368,372,252, 7, 11, 91,596,578,608,363,367,272,
2, 6, 86,591,598,603,358,362,267, 22)( 3,106,336,592,523,103,356,
337,517, 23,101,331,587,518,123,351,332,512, 18,121,326,582,513,118,
371,327,507, 13,116,346,577,508,113,366,347,502, 8,111,341,597,503,
108,361,342,522)( 4, 31,461,594,548,478,359,287,392, 24, 26,456,589,
543,498,354,282,387, 19, 46,451,584,538,493,374,277,382, 14, 41,471,
579,533,488,369,297,377, 9, 36,466,599,528,483,364,292,397)
( 5, 56,211,595,573,228,360,312,142, 25, 51,206,590,568,248,355,307,
137, 20, 71,201,585,563,243,375,302,132, 15, 66,221,580,558,238,370,
322,127, 10, 61,216,600,553,233,365,317,147)( 27,381, 89,541,473,604,
283,487,269, 47,376, 84,536,468,624,278,482,264, 42,396, 79,531,463,
619,298,477,259, 37,391, 99,526,458,614,293,497,254, 32,386, 94,546,
453,609,288,492,274)( 28,481,339,542,398,104,281,462,519, 48,476,334,
537,393,124,276,457,514, 43,496,329,532,388,119,296,452,509, 38,491,
349,527,383,114,291,472,504, 33,486,344,547,378,109,286,467,524)
( 29,406,464,544,423,479,284,412,394, 49,401,459,539,418,499,279,407,
389, 44,421,454,534,413,494,299,402,384, 39,416,474,529,408,489,294,
422,379, 34,411,469,549,403,484,289,417,399)( 30,431,214,545,448,229,
285,437,144, 50,426,209,540,443,249,280,432,139, 45,446,204,535,438,
244,300,427,134, 40,441,224,530,433,239,295,447,129, 35,436,219,550,
428,234,290,442,149)( 52,131, 90,566,223,605,308,237,270, 72,126, 85,
561,218,625,303,232,265, 67,146, 80,556,213,620,323,227,260, 62,141,
100,551,208,615,318,247,255, 57,136, 95,571,203,610,313,242,275)
( 53,231,340,567,148,105,306,212,520, 73,226,335,562,143,125,301,207,
515, 68,246,330,557,138,120,321,202,510, 63,241,350,552,133,115,316,
222,505, 58,236,345,572,128,110,311,217,525)( 54,156,465,569,173,480,
309,162,395, 74,151,460,564,168,500,304,157,390, 69,171,455,559,163,
495,324,152,385, 64,166,475,554,158,490,319,172,380, 59,161,470,574,
153,485,314,167,400)( 55,181,215,570,198,230,310,187,145, 75,176,210,
565,193,250,305,182,140, 70,196,205,560,188,245,325,177,135, 65,191,
225,555,183,240,320,197,130, 60,186,220,575,178,235,315,192,150)
( 77,506, 88,616,348,602,258,112,266, 97,501, 83,611,343,622,253,107,
261, 92,521, 78,606,338,617,273,102,256, 87,516, 98,601,333,612,268,
122,251, 82,511, 93,621,328,607,263,117,271)(154,410,439,169,425,429,
159,415,444,174,405,434,164,420,449)(155,435,189,170,450,179,160,440,
194,175,430,184,165,445,199)(180,185,190,195,200)(404,409,414,419,424
), ( 1,103,428,388,489,314,259,357,182,147,246, 71)( 2,228,448,386,
114,304,258,482,187,149,371, 56)( 3,478,438,389,364,309,257,232,197,
146,121, 51)( 4,353,433,387,239,324,256,107,177,148,496, 61)
( 5,603,443,390,614,319,260,607,192,150,621, 66)( 6,102,178,398,486,
64,254,358,432,137,249,321)( 7,227,198,396,111, 54,253,483,437,139,
374,306)( 8,477,188,399,361, 59,252,233,447,136,124,301)
( 9,352,183,397,236, 74,251,108,427,138,499,311)( 10,602,193,400,611,
69,255,608,442,140,624,316)( 11,104,303,383,487,189,274,356, 57,127,
248,446)( 12,229,323,381,112,179,273,481, 62,129,373,431)
( 13,479,313,384,362,184,272,231, 72,126,123,426)( 14,354,308,382,237,
199,271,106, 52,128,498,436)( 15,604,318,385,612,194,275,606, 67,130,
623,441)( 16,105,553,393,490,564,269,360,557,142,250,571)
( 17,230,573,391,115,554,268,485,562,144,375,556)( 18,480,563,394,365,
559,267,235,572,141,125,551)( 19,355,558,392,240,574,266,110,552,143,
500,561)( 20,605,568,395,615,569,270,610,567,145,625,566)
( 21,101, 53,378,488,439,264,359,307,132,247,196)( 22,226, 73,376,113,
429,263,484,312,134,372,181)( 23,476, 63,379,363,434,262,234,322,131,
122,176)( 24,351, 58,377,238,449,261,109,302,133,497,186)
( 25,601, 68,380,613,444,265,609,317,135,622,191)( 26, 28,403,413,414,
289,284,282,157,172,171, 46)( 27,153,423,411, 39,279,283,407,162,174,
296, 31)( 29,278,408,412,164,299,281, 32,152,173,421, 36)
( 30,528,418,415,539,294,285,532,167,175,546, 41)( 33,402,163,424,286,
34,277,158,422,161, 49,276)( 35,527,168,425,536, 44,280,533,417,165,
549,291)( 37,154,298,406)( 38,404,288,409,287,159,297,156, 47,151,
48,401)( 40,529,293,410,537,169,300,531, 42,155,548,416)
( 43,405,538,419,290,534,292,160,547,166, 50,526)( 45,530,543,420,540,
544,295,535,542,170,550,541)( 55,503,493,440,514,369,310,507,242,200,
521,116)( 60,502,243,450,511,119,305,508,492,190,524,366)
( 65,504,368,435,512,244,325,506,117,180,523,491)( 70,505,618,445,515,
619,320,510,617,195,525,616)( 75,501,118,430,513,494,315,509,367,185,
522,241)( 76, 78,453,463,464,339,334,332,207,222,221, 96)
( 77,203,473,461, 89,329,333,457,212,224,346, 81)( 79,328,458,462,214,
349,331, 82,202,223,471, 86)( 80,578,468,465,589,344,335,582,217,225,
596, 91)( 83,452,213,474,336, 84,327,208,472,211, 99,326)
( 85,577,218,475,586, 94,330,583,467,215,599,341)( 87,204,348,456)
( 88,454,338,459,337,209,347,206, 97,201, 98,451)( 90,579,343,460,587,
219,350,581, 92,205,598,466)( 93,455,588,469,340,584,342,210,597,216,
100,576)( 95,580,593,470,590,594,345,585,592,220,600,591)
(120,555,518,495,565,519,370,560,517,245,575,516)(520,620,570) ] ],
[ 49, 4976640000, 0, "4c", [ [ 256, 2 ], [ 16, 1 ], [ 96, 1 ] ], 1,
"Sym(5) wreath Sym(4)", [ "A", 5, 4 ],
[ ( 1,315, 19,563,494,528,500, 27,200, 92,183,466,283,396,287,149,587,234,
576,360)( 2,190, 94,558,491,278,400, 37,199,592,233,451,285, 21,312,
144,588,484,526,375)( 3,440, 44,573,492,153,475, 32,196,342,133,461,
284,521,362,129,590,109,551,370)( 4,565,119,553,495, 28,450, 42,198,
467,158,471,282,146,337,134,586,359,501,365)( 5, 65, 69,568,493,403,
425, 47,197,217,208,456,281,271,262,139,589,609,601,355)
( 6,311,269,513,489,529,625,102,180, 95, 58,441,293,398,412,174,597,
232,201,335)( 7,186,344,508,486,279,525,112,179,595,108,426,295, 23,
437,169,598,482,151,350)( 8,436,294,523,487,154,600,107,176,345)
( 9,561,369,503,490, 29,575,117,178,470, 33,446,292,148,462,159,596,
357,126,340)( 10, 61,319,518,488,404,550,122,177,220, 83,431,291,273,
387,164,599,607,226,330)( 11,314,519,613,479,530,125, 52,195, 93,433,
416,298,397,162,224,582,231,326,260)( 12,189,594,608,476,280, 25, 62,
194,593,483,401,300, 22,187,219,583,481,276,275)( 13,439,544,623,477,
155,100, 57,191,343,383,411,299,522,237,204,585,106,301,270)
( 14,564,619,603,480, 30, 75, 67,193,468,408,421,297,147,212,209,581,
356,251,265)( 15, 64,569,618,478,405, 50, 72,192,218,458,406,296,272,
137,214,584,606,351,255)( 16,313,394,538,499,527,250, 77,185, 91,308,
391,288,399,537,249,577,235, 76,310)( 17,188,469,533,496,277,150, 87,
184,591,358,376,290, 24,562,244,578,485, 26,325)( 18,438,419,548,497,
152,225, 82,181,341,258,386,289,524,612,229,580,110, 51,320)
( 20, 63,444,543,498,402,175, 97,182,216,333,381,286,274,512,239,579,
610,101,305)( 31,321,267,138,464,534,621,352,130, 90, 59,566,368,378,
415, 49,572,242,203,460)( 34,571,367,128,465)( 35, 71,317,143,463,
409,546,372,127,215, 84,556,366,253,390, 39,574,617,228,455)
( 36,324,517,238,454,535,121,302,145, 88,434,541,373,377,165, 99,557,
241,328,385)( 38,449,542,248,452,160, 96,307,141,338,384,536,374,502,
240, 79,560,116,303,395)( 40, 74,567,243,453,410, 46,322,142,213,459,
531,371,252,140, 89,559,616,353,380)( 41,323,392,163,474,532,246,327,
135, 86,309,516,363,379,540,124,552,245, 78,435)( 43,448,417,173,472,
157,221,332,131,336,259,511,364,504,615,104,555,120, 53,445)
( 45, 73,442,168,473,407,171,347,132,211,334,506,361,254,515,114,554,
620,103,430)( 48,447,167,223,457,156,346,257,136,339,509,611,354,505,
115, 54,570,118,428,420)( 55, 70, 68,443,418,423,422,172,222,207,206,
331,256,261,264,514,614,604,605,105)( 56,316,268,388,414,549,622,227,
205, 85)( 60, 66,318,393,413,424,547,247,202,210, 81,306,266,263,389,
539,624,602,230, 80)( 98,432,166,348,382,161,349,507,236,329,510,111,
304,520,113,429,545,123,427,170),
( 1,189,403, 11,179,413)( 2,314,405,511,177,288, 5,564,402,261,180,
538)( 3, 64,404,386,176,163)( 4,439,401,136,178, 38)
( 6,199,408, 21,184,423)( 7,324,410,521,182,298, 10,574,407,271,185,
548)( 8, 74,409,396,181,173)( 9,449,406,146,183, 48)
( 12,304,415,501,187,278, 15,554,412,251,190,528)( 13, 54,414,376,186,
153)( 14,429,411,126,188, 28)( 16,194,418)( 17,319,420,516,192,293,
20,569,417,266,195,543)( 18, 69,419,391,191,168)( 19,444,416,141,
193, 43)( 22,309,425,506,197,283, 25,559,422,256,200,533)
( 23, 59,424,381,196,158)( 24,434,421,131,198, 33)( 26,139,428, 36,
129,438)( 27,264,430,536,127,313, 30,514,427,286,130,563)
( 29,389,426,161,128, 63)( 31,149,433, 46,134,448)( 32,274,435,546,
132,323, 35,524,432,296,135,573)( 34,399,431,171,133, 73)
( 37,254,440,526,137,303, 40,504,437,276,140,553)( 39,379,436,151,138,
53)( 41,144,443)( 42,269,445,541,142,318, 45,519,442,291,145,568)
( 44,394,441,166,143, 68)( 47,259,450,531,147,308, 50,509,447,281,150,
558)( 49,384,446,156,148, 58)( 51,164,378, 61,154,388)
( 52,289,380,561,152,263, 55,539,377,311,155,513)( 56,174,383, 71,159,
398)( 57,299,385,571,157,273, 60,549,382,321,160,523)
( 62,279,390,551,162,253, 65,529,387,301,165,503)( 66,169,393)
( 67,294,395,566,167,268, 70,544,392,316,170,518)( 72,284,400,556,172,
258, 75,534,397,306,175,508)( 76,214,453, 86,204,463)
( 77,339,455,586,202,338, 80,589,452,336,205,588)( 78, 89,454,461,201,
213)( 79,464,451,211,203, 88)( 81,224,458, 96,209,473)
( 82,349,460,596,207,348, 85,599,457,346,210,598)( 83, 99,459,471,206,
223)( 84,474,456,221,208, 98)( 87,329,465,576,212,328, 90,579,462,
326,215,578)( 91,219,468)( 92,344,470,591,217,343, 95,594,467,341,
220,593)( 93, 94,469,466,216,218)( 97,334,475,581,222,333,100,584,
472,331,225,583)(101,239,478,111,229,488)(102,364,480,611,227,363,
105,614,477,361,230,613)(103,114,479,486,226,238)(104,489,476,236,
228,113)(106,249,483,121,234,498)(107,374,485,621,232,373,110,624,
482,371,235,623)(108,124,484,496,231,248)(109,499,481,246,233,123)
(112,354,490,601,237,353,115,604,487,351,240,603)(116,244,493)
(117,369,495,616,242,368,120,619,492,366,245,618)(118,119,494,491,241,
243)(122,359,500,606,247,358,125,609,497,356,250,608)
(252,315,530,512,302,290,505,562,277,265,555,537)(255,565,527,262,305,
540,502,312,280,515,552,287)(257,325,535,522,307,300,510,572,282,275,
560,547)(260,575,532,272,310,550,507,322,285,525,557,297)
(267,320,545,517,317,295,520,567,292,270,570,542)(327,340,580,587)
(330,590,577,337)(332,350,585,597)(335,600,582,347)(342,345,595,592)
(352,365,605,612)(355,615,602,362)(357,375,610,622)(360,625,607,372)
(367,370,620,617) ] ],
[50, Factorial(625)/2,1,"2",[[624,1]],623, "Alt(625)", ["A",625, 1], "Alt"],
[51, Factorial(625),0,"2",[[624, 1]],625, "Sym(625)", ["A",625, 1], "Sym"],
[ 52, 3840000, 2, "1", [ [ 256, 2 ], [ 16, 1 ], [ 96, 1 ] ], 1, "",
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[ 53, 1920000, 2, "1", [ [ 256, 2 ], [ 16, 1 ], [ 96, 1 ] ], 1, "",
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[ 54, 1280000, 2, "1", [ [ 256, 2 ], [ 16, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1,
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34,110, 46,318,587,444,398,504,503,173,259, 31, 35,144,344,117,376,
387,310,596,103,467,556, 30,377,574, 51,237,219,151,553,575, 24,303,
216,224,119,346,542,193, 72,159,321,341, 6,182,375,210,353,178,145,
157,593,107,381,208,538,559,252,523,287,585,302, 88,169,140,267, 9,
48,584,315,203,205,598,426, 17,606,576,435,347,285,333, 76,477,539,
257, 25,433,241,101,282,448, 43,147,486,526,541,537,156,372,370,568,
544,557,307,179,428, 21,605,540,456,190,300,152,592,552,405,451,165,
304,137,395,578,135,393,226,365, 79,125,604,564,378,230,340, 74,616,
551,509,102,351,223,599,612,588,160,158,374,619,615, 4, 44,383,487,
82,248,429,289, 97,505,273,617, 53,454,197,245,183, 95,580,550,513,
104,558,325,327,215,572,482,521,263,390,361,442,228,571,243, 7,278,
597,618,322,149,423,563,373,385,352,177,320,155,348,524,189,209,371,
458,337,614,184,411,306,314,227,506,581,603,379,311,293,479,582,153,
500,600, 63,427,560,220,143,154,413,186,386,495,499,271,357, 27, 26,
132, 86,569,212,484,420,496,204,342,294, 54,221,608,474) ] ],
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[ ( 1,563, 4,189,532,269,252,312,509,199,202,533,164, 65,404,478,572,578,
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540,160,237,317,232,367,607,299,121, 6,548,445,537,310,467,245,372,
356,464,352,529,357,519,173,373,323,139,597,175,577, 82,417,616,388,
118,258,528,600,379,309, 43,536,560,152, 10,135, 83,351,227,350,457,
325,463,297,266,486,505,334,311,617,381,263,436,610,453,209,535, 31,
179, 28,587,433, 73,184, 55,219,400,270,197, 75,361, 84,113, 99,136,
140,246,549,198,623,115,565,174,358,620, 56,543,109,592,230,431,294,
9,473,293,207,168, 5,284,256,143,415,411, 39,538, 49,110, 77,301,
17,425,360,137,389,522,604,226,130,470,359,403,200,134,233,383, 33,
327,497, 51,401,156,621,614,292,216,590,385, 24,494,342,244, 18, 97,
95, 54,570,264,215,304, 92, 44,377,573,429,516, 98,291,459,106,393,
276,339, 70,302,127,374,265,382,545,277, 81, 91,502,176, 93,376,340,
87,364,223, 15,162,320,479,218, 37, 79,251,324,605,512,581,608,158,
318, 14,142,295,483,518, 63,438,271,618,283,506, 29, 61,556,601,416,
338,169,205,114,328, 40,394,348, 68,285,159,441,507,119,455,447,493,
319,248,238,557,380,475,225,354, 96,525,333,555,434,192,170,322,585,
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262, 62,484, 23,190)( 3,414,424,228,586,123,240,131,378,203,435,166,
229,112,399, 46,214,407,615, 76,558,128,461,413,201,290,241,561,451,
410,408,487,261,163, 11,481,120,541,289,213,517,510,349,104,454, 8,
178,472,122,272,371,305,102,146, 35,375,279,527,609,116,368,145, 80,
488,204,428,395,456,593,466, 94, 90,362,249,221,500,337,298,212, 32,
496,211, 74,275,539,396,588,449,511,147,331,566,390,508,307,582,259,
365,369,406,392,421,144,430,308,235,105,286,450,321,432, 72,544,477,
326,474,596,296, 52,521, 69,242,124,514,194,171,626, 19,239,208, 42,
180, 48,155,278,154,422,370,495,353,571,595,462,196,126,531,603,247,
387,117,515, 88,423,554,330,534,366,182,132,332,612,148,602,153, 41,
149,133,260, 38,195,594, 60,583,499,384,206,524,138,273,188,268,345,
591, 78,448,460, 53,398,446,551,564, 47,485,503,584,217,569,492,150,
439,553,559, 27,101,440,341,598,303,306,622,193,253,236,599,316,501,
568,504,315,482, 21,443,243,108,274, 7,469,589,419, 34,579,255, 16,
344,191,402, 25,611,281,420,546,183,335,313, 71,576,172,606,409,151,
280, 30,125,574,267,257,186, 12, 58, 50,386,624, 64,346,220,437,157,
111,465,177,391,300,336,167, 89,530,575,444,476,625,222,513,234, 67,
442,613, 22,210,363,491,187,347,523,550,619,526,181,254,426,468,287,
26,185,343,490,282,141,418,165,129,412,329),
( 1,388,442,480,169, 7,201,582,404,361, 45,205,496,211,383,380,477,
179,375,465,343,132,155,615,231,244,102,346,272,193,140,390,161,476,
238,446,313,438, 48,350,543,621,306, 68,499,539, 67,436,585, 21,389,
287)( 2,321,136,217, 99,544,601,191,491,374,347,239,386, 30,134,534,
232,135, 20,382,435,137,151, 82,322,426,460,171,550,548, 5,529, 57,
107,291,285,396,319,563,349,154,265,128,541, 28, 74,219,228,181,553,
22,538)( 3, 51,111,202,447,362,500,327,519,516,429,294,240,540,180,
488,311,131,520, 84,405, 10,335,586,286,295,293, 95,373,283,596,464,
367,502,456,189,221,176,560,577,454,427, 18,368,144,247, 96, 83,220,
16,284,418)( 4,139,255,188, 71, 17,289, 25, 56,147,619,267, 34,127,
546,329,394,542,115,248,443, 42,444,523,298, 37,408,424,262,214,263,
366,591, 14,312,576,160,198, 46,461, 87,602, 24,524,417,592, 9,150,
451,122, 76,266)( 6,579,165,439,441,559,357, 55,387, 63,421,518,599,
567,177,440,158,584,535,556,280,114,624,182,569,104,324,245,571,508,
172,130, 50, 66,467,340,332,492,515,282,162, 43,489,183,385, 38,168,
458,153,164,478,377)( 8,318,398,419,514, 59,428,270, 92,167,369, 12,
355, 85,237,356,330,268,433,260,598,230,372,316,276,513,309,360,303,
462,123, 91,234,574,251,241,178,527,606,326,297,495,616,501,483,345,
208,124,626, 73,173,226)( 11,233, 81,200, 39,203,126,490,370,401,157,
235,494,224,565,290,261,402,227, 40,145,304, 89,416, 93,482,199,471,
112,305,149,216,299,503,256,506,568,473,296, 86,354,348,603,581,608,
353,590,125,274,358,510,620)( 13,365,207,587,400,618,163,275, 32,437,
393,258,468,314,545,564,566,391,434,159,604,307,475,453,551, 97,363,
225,331,113,229,185,323,236,210,588, 35,222,302,589,505,292,537,612,
264,558, 79,243,317,328,121,325)( 15,445,197,141,254,212,342,549, 19,
336,175,580,300, 41,184,625, 33, 69, 31,196,257,432,554,116,600, 98,
249,103, 54,352, 53,410,195,138,573,450, 44,407,605,557,512,594,281,
507,213,613,174,617,209,561,597,479)( 23,277, 75,187,156,206,246,259,
384,595,555, 77,271,422, 60,486,474,610,572,562,320, 62,359,252,215,
146,105,485,607,250,570,339, 78,110, 58,333,525,413,487,420, 52,371,
578,301,552,186,143,395,310,526,415,466)( 26,119,457,341,106,381,152,
378,449,463, 49,148, 47, 94,522,414,406,117,531,484, 61,118,364,470,
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142,101,392, 36,448,133,269,511,431, 27, 88)( 29,100,288,528, 64,455,
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376,423,469,611,351,411,337,120,614, 70,278,622,192,575,308,218, 72,
166,533,412, 80,190,498,379,223,344, 90,504,409)(170,536) ] ],
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117, 76,478,587,343,578,196, 3,157,205,123,493,574,116,118,299,561,
163,375,407,281,588,194,332,456,227,613, 82,229,430,360,394,384,187,
370,298,267,442,592, 32,292,605,524,406,309,599,188, 85,147,261,256,
529,106,202,357,413,502,508,549,573,572,373, 40,274, 9, 96,609,614,
540, 72,308,333,293,220, 64,378,351, 65,313,154,128,368,203,482,316,
134,616,566, 12, 58,251,543, 79,424,415,326,318,353, 68, 16,577,247,
606,603,140,246,170,329,253,359,522,519,252,548,483,431,146,181,173,
84, 75,420,582,248,441,487,559,509,365,183, 17,296,131,371,345,186,
434,148,121,435,279,206,166,191,427,585,511,516,403,490,225,459,126,
553,552,576,617,623, 86,142,297,393,596,243,238,352,414,311,526,190,
93,601,520,207,467,533, 57,232,201,129,312,115,105,139, 69,270,417,
512,272, 43,167,305,537,218, 92,124,336,564,200,381,383,551, 6,376,
294,342,496,303,547,156,538, 21,423,382, 51,161, 66,404,263,432,503,
445, 38,367,164,541,249,172,395,398,465,110,337,366,158,425,377,397,
265,618,255,567,125,258,464,440,268,390,498,235,280,536,583,412,554,
391,534,137,239,457, 88,286,560,334,387, 98, 70,307,278,180,141,314,
160,111,484,315,135, 56,619,575,179, 52,473,477,462,226,439,570,607,
228,525,224, 91, 99, 33,521, 73, 90,149,468,595,171,579,214,544,621,
283, 53,209,324,240, 50,523,113,193,385,199,237,580,489,517,569,460,
254,340,472,291,284, 23,594,176,363,174,501,266, 7,598, 89,210,288,
41,475,195,416,317,144,361, 97,532,197,513, 13,469, 29, 8,198, 2,
471,620, 45,222,107,372,611, 48,568,153,452,419, 62, 63,321,422,480,
563,242,150,287,348,488,515,379,453,331, 61,369,418, 18,450,405,344,
380,204,103, 71,330,535,347, 25,310, 20,217,500,177,499,145,597, 14,
44,399,356, 78,495,586,269,276, 55, 36,494,510,615, 5,463,444,223,
230,539, 4,421,143,100,455,485,528,354,626,322,625,282,479,189,474,
152,590,169,428,396,295,119,155, 94, 49,481, 81,130,438,168, 46,120,
610, 11,151,212,349,257,562, 19, 77,178,436,437, 80, 47,346,557,451,
514,127,392,277,454,505, 28,497,301,491,470, 30,486,612,302,593,402,
138,355,182, 83,304, 24,458,211,289,410,527,492,233,624,325,136,323,
531,476,215,208, 27,159,245, 39,556,608, 10,545,262,300,114,306,386,
602,449,259,175,290,446,216,504,581,285,546,328,530, 31,350,409,426,
604,466,400,408,275,600,271,518,555, 60,273, 37, 22, 26,447,320,550,
506,443,364,184, 15,388,339,185,358,319,221,192,429,401,112,165,565,
213,411, 42,260,362,591,108,571, 87,542,589,219,264),
( 1,293,495,393,596,179,249,345,463,101,329,125,580,605,391,492, 10,
170,499,574,341,233,278,103, 91,379,520,618,127,373,622,591, 70,410,
9,476, 95,611,581, 65,589,188,312,508,594,255,620, 13,199,366,261,
257)( 2,483, 12,365,348,244,509,256,178, 83,388, 14,294,305,301,384,
99,541,360,239, 39,267, 40,383,361,154,129, 15,271,446,517, 33,253,
93,202,142,106,131, 52,315,147, 67,431,134,198,159,398,331,595,264,
222,578)( 3,242,515,441,603,269, 7,511,485,166,369, 6,489,111,150,
516, 90, 18,536,130,342,445,559, 94,139,155,181, 71,308,105,311,213,
310,254,582,617,182,189,402,104,246, 47,145,156,184,375,353,149,347,
443,123,370)( 4,352,321,568,404,146, 43,553,225,107, 62,457,470,387,
137,456,523,510,527,554,314,442,215,238,143,376,439,385,350,625,449,
368,526,505,260, 8,138,277,621,623,343,500,521, 32,194,192,141, 16,
602, 29, 34,355)( 5,344, 96,497,512,394,468,211,210,109,562,576,498,
221,482, 23,392,399,265,455,258, 78,206,458,197,530,418,593,148,229,
89,590,157,429,490,619,177,551, 22,313,349,472,577,524,144, 28,332,
201,403,193,588,518)( 11,567,232, 55,223,356,171, 20,164, 49, 37,549,
573, 57,557,153,493,317,219,268,587,412,543,243,333, 75,424,484,467,
307, 26,604, 97,140,285,102,478,522, 80,575,407,471,252,212,565,552,
272, 72,340,569,281,381)( 17, 69,161,330,112,128,276,135,372, 41,506,
251,380,546,409, 81, 73,417,374,427,488,207, 48,460,486, 31,357,231,
503,624,217,282,584,377,480,323,533,227,327,176,289,538,451,158,122,
300,571, 68,354,389,186,390)( 19,205,464,408, 56,266,437,507, 50,542,
326, 66,196,220,481,132,259,110,563,448,450,167,304,440,328,561, 84,
371,250,469, 36,113,136,226,172,296, 63,378,416,608,174,234,547,337,
241,454,364,303,444, 24,579,564)( 21,298,224,287,491,336,405,396,126,
609,601,414, 92,275,195, 46,447,162, 51,190,133,514,203, 45,316,124,
586,415, 58,346,494,173,615,185,262, 64,607,572,319,477,297,165,209,
98,363,270,513,295,548,362,163,114)( 25,117,108,466,425,474,395,334,
453,420,288,359,235,433,534,302, 86,535,434,338,291,151,169, 88,529,
556,606,419, 79, 38,616,475,286,100,214,592,115,180,528,459,532,560,
292,428,585,168,367,230,204,435,386,461)( 27,600,247, 30,473,406,119,
208,118,479,121,320,248,218,290, 35,496,558, 87, 85,519,537,339,236,
279,228,566,401, 60,531,570,583,422,116,452,504,540,436,426,626,306,
465, 82,200, 76,462,245,525,284,597,183,351)( 42, 59,598,612,322,280,
502, 54,283,273,487,382, 77,325, 74,240,400,438,413,175,237,216,397,
324,555,358,432,274,152,335,421,610,550,299, 61,411,430,539, 44,318,
53,423,191,263,613,544,501,160,545,614,599,187)(120,309) ] ],
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120)( 4,384,535,157,446,399)( 5,350, 96,415,252,455,306,319,433,
102,239,583)( 6, 23,419,362,117,495,258,194,476,103,360,458)
( 7,151,511,209,579,347,517,330,480,164,551, 83)( 8,124,617,400,611,
529,555,496,326,557,523, 20)( 9,426,104,136,408,270,139,324,332,457,
113,618)( 10,559,467,364,614, 64,181,436,204,387,528,186)
( 11,200,340)( 12, 61, 38,431, 47,193)( 14, 26,554,382,539,489, 73,
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( 17, 49,447,607,373,322,568,280,365,427, 68,569)( 18,101,577,243,122,
74,140,468,593,444,437,230)( 19,430,463,294,488,626,214,273, 56,613,
127,363)( 21, 29,383,301,521,133,407, 34,465,184,116,145)
( 22,589,448,341,603,578, 25,413,110,438,425,591)( 24,510,571,376,563,
91,296,540,314, 72,305,422)( 27,333,300, 33,220, 77,553,514,248, 50,
608,342)( 28,275,606,560,601, 98, 32,196,149,212,580,318)
( 30,236,226,385,564,327,260,509, 66,439,266,395)( 31,289,374,105, 71,
132,272, 93,532, 95, 59,454)( 35,435,271,221,370,263,359,503,394,118,
211,475)( 36,610,148,254, 65,622, 75,222,367,153,195,160)
( 37,346,217,472,615,584,459,481,536, 90,581,206)( 39, 42,479,173,279,
548, 97,311,522,558,251,598)( 40,565,545,257,397, 53,621,265,285,502,
108,500)( 41,298,168,575,174,526,233,456,129, 54,570,518)
( 43,142,282,231,156,445,128,515,232,369, 48,391)( 44,466,170,182,316,
604,208,443,175,179,497,138)( 45,328,312,141,600,597,256,573,304, 63,
130,163)( 46,315,125,284,323,398, 57, 62, 58,482,288,299)
( 52,246, 87,167,527,550,218,624,470,371,390,155)( 55,202,169,594,538,
259,224,494,471,321,477,516)( 60,485,146,537,267,402,344,203, 79,592,
525,588)( 67,183, 70,381,440,261,586,423,264,283,303,508)
( 69, 99,274,229,216,307,556,109,135,250,302,219)( 78,585, 92,474,223,
287,505,191,388,356,403, 81)( 84,401,469,253,513,355,235,549,337,237,
487,567)( 85,478,483,361,213, 89,414,464,121,493,504,623)
( 86,137,544,293,115,343,609,244,410,238,207,317)( 88,590,547,281,180,
190,309,377,449,429,534,131)(100,405,255,406,442,432,498,227,150,201,
112,531)(106,404,277,418,473,134,512,506,177,412,520,566)
(107,154,599,119,602,313,165,171,461,416,491,197)(111,199,450,228,492,
188,541,524,380,339,338,210)(114,205,519,441,241,225,358,234,162,291,
417,605)(126,292,366,247,329,185,325,353,352,375,501,616)
(143,192,166,490,451,421)(144,249,572,357,297,596,486,215,198,310,552,
625)(152,349,286,533,562,619,612,484,420,278,178,460)
(187,411,386,269,348,276,262,354,587,452,546,396)(295,379,462)
(368,409), ( 1,593,444,286,598,514)( 2,560,220,420,434,565)
( 3,120, 41,538,280, 98)( 4, 71,204,132,102,569)( 5,496,305)
( 6,237,553, 68,527,315)( 7,241,426,418, 38,463)( 8,321,380, 24,
121,226)( 9, 69,546, 50,196,347)( 10,194,446)( 11,192,435,290, 97,
207)( 12,453,396,505, 77,401)( 13,312,393,345,552,476)
( 14,531,108,316,568,378)( 15,101,423,326,125, 61)( 16,524,138,544,
503,617)( 17,437,135,181,369,189)( 18, 81, 96,398,301,475)
( 19,488, 85, 39,421,443)( 20,156,611, 92, 32, 65)( 21,153,151,448,
452,339)( 22,537,105,145,137,263)( 23,311,604,355,224, 27)
( 25, 86,327,460,409,270)( 26,566,490,206,202,612)( 28,517, 87)
( 29,367,292,217, 82,608)( 30,485,123,195, 93,261)( 31,457,576,543,
231,361)( 33,384,586,447,481,583)( 34,227,291,582,400,541)
( 35,596,218,370,350,225)( 36,425, 47,320,164,247)( 37,110,296,168,
228,570)( 40,387,285,328,306,122)( 42,379,167,353,492,274)
( 43,336,591,112,212,170)( 44,510,499,268,439,203)( 45,279,288,308,
314,462)( 46,273,550,242,394,480)( 48,147,424,332,500, 72)
( 49,567,330,458,249,127)( 51,171,307,622,413,571)( 52,267,610,354,
243,513)( 53,100,365,441,324,456)( 54,282,256, 89,585,325)
( 55,419,536, 64,310,319)( 56,373,302,442,257,136)( 57,533,530,144,
516,464)( 58,428,602,575,166,146)( 59,230,161,211,377,559)
( 60,522,278,323,472,459)( 62,609,245,607,556,107)( 63,298,539)
( 66,482,554,232,205,406)( 67,422,623,287,511,371)( 70,455,477)
( 73,248,616,295, 88,260)( 74,294,340)( 75,465,352,180,214,450)
( 76,118,276,386,178,348)( 78,374,416,357,254,468)( 79,382,300,289,
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( 84,176,360,405,271,344)( 90,484,597,535,555,619)( 91,239, 99,277,
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(103,275,518,410,509,601)(104,417,562,117,501,433)(106,411,625,415,
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(114,392,304,620,222,313)(115,493,436,599,577,229)(116,219,233,580,
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(126,507,412,322,479,334)(128,259,525,454,391,129)(130,143,140,175,
150,258)(131,236,613,467,364,407)(133,366,208,169,574,185)
(134,461,331,521,478,200)(139,162,474,558,342,520)(141,561,564,594,
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(152,587,515,216,381,487)(155,584,483,399,265,572)(157,351,250,309,
187,190)(158,272,578,159,519,526)(160,269,182,183,368,471)
(163,234,489,512,473,356)(165,491,329,495,470,349)(172,173,266,299,
338,297)(174,281,498)(177,528,397,590,388,375)(184,255,262,497,605,
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(199,618,431,235,508,592)(213,551,395,595,283,253)(223,486,390,346,
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68,490,568,353, 30,298,297,117,210,313, 81,108,315)( 3, 95,581,475,
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364,551,389)( 4,337, 73,207,335,280,283,254,464,304, 83,623,257,487,
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133,482,466,269,366, 87,415, 34,232,530,245,190,481,379,124,228,241)
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467,236,216,383,462,256,404,115, 41,501,250, 38,219,550)
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274, 21,522,476,205,290,325,423,333,220,106,509,430,499)
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( 15,144,291,282,434,311,351,582,563,450,377,138,268, 74,165,247,340,
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611,428,461,448,580,119,367,587, 32,195,102,128,412, 54)
( 20,536, 70, 58,276,362,229,175,294,441, 42, 86,497,169,110,145,332,
103,306,444,375,457,413,299)( 23, 59,511,271,163,189,498,528,617,615,
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( 25,253,474,553,134,170, 29,614,316,531,488,324,616,437,309,440,374,
125,537,443,381,433,542,402)( 27,612,243,538,483,527,424,285,432, 46,
356,160,495, 69,361,442,150,264,589,113,148,296,410,303)
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624,162,579, 64,129,230, 51)( 33,284,594,206,396,345,618,556,554,496,
561,575,452,455,154,258,295,458,510,322,222,574,411,350)
( 37, 72,221,215,355,192,319,167,259,176,137,180,121,158,168,354,552,
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544,449,577,317, 92,590,513,347,105,427,289,244, 57,136)( 48,224)
( 52,242,395,127,608,204,508,186,251,541,420, 97,338,310,305,214,363,
583, 78,599,399, 62,292,454)( 63,445, 96,486,429,418, 80,240,171,562,
200,318,365,191,126,287, 71,601,414,529,262,330,114,307)
(166,609,598,585,573,385,570,600,376,321,512,408,392,505,380,384,463,
339,359,586,261,233,314,270),
( 1,620,210,296,524, 54,267,494,349,472,467,105,452,249,450,586,507,
593,212,223,469,386,281,144)( 2,441,292,479,317,122,614,234,261, 23,
151,300,548, 53,565,489,352,126,387,563,252,272,486,444)
( 3,235, 10, 78, 79, 96,190,216, 38, 24,496,623, 47,338,331,570, 59,
196,134,422,389,544,197,347)( 4,219,392,545,268,227, 36,414,449, 80,
31,367,136,365,541, 72,306,295,358,184,592, 22,104,246)
( 5,361, 37,355,211, 83,432,590,424,567,396,284,555,255,503,146,505,
183,385,195,229, 44,384,218)( 6,476,498,253,283,417,370,557,337,442,
260,247,264,334,109, 65,115,106,564,239,399,443,542, 25)
( 7, 63,617,600,153,201,382,514,226,558,301,405,256,483,484,376,157,
335,474,612,464,282,240,107)( 8,594,187, 58, 55,415,374, 73,155,116,
280,345,447,309,435,294,536,186,121,188,504,321,323, 62)
( 9,168,154,145,142,375,377,574,320,245,167,409,297, 57,318, 89, 94,
132,336,269, 97,259,138, 82)( 11,363,394,529,275,341,508,500,313,170,
120,391,599, 19,231,305,143,535,287,172,456,407,434,293)
( 12,271,522,222, 69,401,263, 34,624,369,395,530, 67,458,515,111,455,
124,101, 20,438,224,244,147)( 13,607,128,618,114,103,291, 48, 81,209,
613,159,439,228,419,397,233,598,518,511,108,573,340,471)
( 14,213, 99,577,551,475,512, 75,205,454,446,346,339,304,457,537,344,
127,575,616, 98,371,308,324)( 15,319,608,274,568,174,585, 50,622,411,
137,400,273,609,270,350,506,135,182,481,164, 56,185, 68)
( 16,139,602,161,383,477, 71,487, 35, 43,322,230,178,191,552,110,390,
595,562,329,510,215,589, 90)( 17, 76,248,303,378, 41,243,316,480,351,
513,343,379,237,175,353,325,502,547,583,193,119,364,208)
( 18,129,333,200,588,179,327,276,277, 87,543,516, 27,131,517,220,553,
546,406,232,357,356,251,241)( 21,342,162,580,373,416,420,526,445,605,
579,425,497, 45,619,527,410,426,290,262,427,461,314, 86)
( 26, 95,250,398,254,207,412,453, 40,538,149,556,214,491,492,381, 32,
360,437,278,348, 33, 77,436)( 28,470,328,521,499,625,581,520,388,531,
289,402,362, 92,368,509,578,582,559,473,572,158,204,242)
( 29,238,525,366,202,203,123,166,468,160,501,302,413,403,533,299,130,
42,440,279,493,554,482,194)( 30,113,181, 93,433,539,561,596,225, 85,
566,163,285,626, 74,490,519,606,354,311,312,603,265,584)
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528,418, 60,288,125,118,257)( 46,488,315,597,466,429,550,330,198,462,
61,448,165,173, 84,459,266,571,133,393,171,463,621,180)
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148,408,236,611,192,460,428,560,100,532,140,206,150,258)(102,177) ]
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( 3,556,210,221,326,289,327,407)( 4,235,479, 49, 99,353,103, 83)
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( 11,315,457, 38,365,219,344,449)( 12,570, 71,192,555,545,129,163)
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( 17,390,268,621,133,269,325,191)( 18,456,375,126,435,155,124,220)
( 19,316,579,447,216,538,296,465)( 20,517,376,593,111,549,308, 43)
( 21,379,223,372,339,413,626, 31)( 23,518,143,303, 39,543,490, 44)
( 24,616,128,481,487,149,197,249)( 25,349,150,355,383,106,330,491)
( 27,580, 85,256,444,409,469,230)( 29,236,553,233,189,411,446, 69)
( 30,583,119,154,284,250,454, 86)( 32,439,546, 54,198,423,207,488)
( 33,228,547,117,218,245,125, 73)( 34,350,502,176,476,522,436,614)
( 35,537,483,278,615,410,497,362)( 36,567,566,338,492,529,112, 87)
( 37,422,574,506,577,611,405,110)( 40,309,498,243,477,564,361,147)
( 41,138,581,291,259,369,306,161)( 42,131,562,181,263,151,384,563)
( 45,255, 59,526,170,542,622, 78)( 46,142,319,224,108,503,598,486)
( 47,437,511,354, 48, 79,425,416)( 52,565,310,264,551,606,501,430)
( 53,342,295,609,508,348,604,359)( 55,248,215,408,241,304,552,600)
( 56,392, 62,513,116,618,388,104)( 57,460,485,137,514,174,115,194)
( 58,548, 63,188,140,323,175, 66)( 61,596,584,573,272,426,499,285)
( 64,120,367,612, 91,114,328,428)( 67,595,602, 81,186,169,238,258)
( 68,329,290,281,478,445,561,525)( 70,366,299,267,470,314,270,382)
( 72,257,585,539,193,494,320,571)( 76,332,417,603,468,335,292,347)
( 77,381,280,152,558,204,225,587)( 80,482,393,608,195,523,229,440)
( 82,337,237, 94,122,541,182,300)( 84,183,334,121,260,179,265,624)
( 88,374)( 90,438,324,458,431,601, 93,363)( 92,222,279,441,576,253,
283,123)( 95,287,294,559,134,399,554,521)( 97,532,311,442,451,173,
331,351)( 98,312,385,443,496,132,530,246)(100,157,252,275,184,489,
135,373)(102,336,190,171,297,242,401,301)(107,406,357,419,597,346,
251,495)(113,254,520,533,356,180,569,450)(127,528,591,244,130,463,
605,429)(136,345,572,467,459,389,500,271)(145,582,199,452,578,352,
420,262)(146,333,217,277,550,391,234,613)(156,313,240,167,507,472,
209,484)(158,164,560,599,214,434,625,305)(160,396,360,397,455,274,
165,318)(162,519,432,317,368,568,178,510)(168,544,206,504,534,231,
232,589)(172,403,340,594,527,466,380,205)(185,247,471,273,475,536,
261,433)(196,464,453,371,448,341,531,398)(208,505,493,414,282,212,
293,415), ( 1,593,578, 5,602,423,191,376,353, 89,176,424,466,305,
459,318,317,456, 66,331,394, 19,393,412,540, 43,284,260,413,491, 67,
617,546,556,457,547, 3, 80,269,497,508,224,107,212, 47,180,620,145,
143,139,484,213)( 2,371,126,509,215,522, 77,403,580,112, 53,451,587,
404, 57,196,610,234,493,614,520, 62,483, 56,286, 21,372,615,156,603,
521,330,108,121,243,280,149,271,216,210,253,336,364,567, 33,158,533,
415,450,182,203,496)( 4,313,273,237,208,444,117,576,166,129,337,254,
586,539,512,262,211, 12,177,481, 34,329,380,363,396,132,209,382,563,
31,369,303, 30, 81,150, 13,374,381,335,242,338,265,516,157,429, 91,
542, 65,172,140,609,152)( 6,114, 16,390,436,321,358,544,316,575,153,
523,503, 37,532, 32,448,572,138,308,549, 55,339,201,115,385,548,473,
531,325,438,476, 96,221,301,504,378,332,553,566,178, 90,276,482, 76,
367, 18,101,577,525,527, 97)( 7,289,604,127,392,123,418,297, 40,133,
552,142,248,454,328,406,179,137,312, 15,162,564,407,118,478,245, 95,
352,600,534, 88,130,298,350,545,480, 27,536,320,322, 36,589,342,386,
233,432,461,500,222,443,613,597)( 8,485,402,165,486,507,568,174,175,
282,340,529,535,113,465,227,571,106,206,349,557,420,204, 39,181,515,
501, 22,468,499,518,579,608,275,235,161,479,409,205,435, 70,223,550,
194,229,214, 54,605,428,366,356,594)( 9,309,595,359,440,326,561, 20,
401,623,272,270,333,621,560,256, 17,362, 14,292,581,487,405, 26,599,
259,417,341,439,425,360,193, 60,471,583,399,430,147,419,598,365,277,
41,131,570,622,102,348,357,592,314,219)( 10,562,225,585,249,446,200,
188,343,120, 58,524,207,170,154,445, 94, 69,319,464,558,498,198,346,
370,189,281,565,134,288,414,573,543, 72,287,251,434,383,433,590,135,
514,510, 49,368, 61,361,136, 25,110,474, 44)( 11,492,400,453,103, 51,
355,171,299,458,591,264,173,618, 73,431,411,447,559,167,119, 24,625,
616,607,315,258,241,122,490,310, 35, 85, 84,452,619, 42,554,151,197,
537,218,588, 29, 38,285, 46,398,109,311,601,489)( 23,344,274,307,449,
334,526,217,105,144,389,240,296,148,279,247, 86,124,488,612,278, 75,
63,199,379,624,295,377,324,294, 48,168,511,463,469,574,391,611,185,
52,195,584,300, 93,250,306,183, 45,125,455,551,541)( 28,422,236,246,
528,187,472,184, 98,267,427,494,190,555,226,426, 92,266,155,387,163,
232,239,192,290,513, 50,470,159, 99,375,257,116,160,517,462, 79,408,
569,397,220,244,202,141, 82,467,268,388,416,410,128,228)
( 59,460, 68,345,530,111, 78,261, 74,495,538,323,230,606,384,351,327,
502,395,354,441,442,238,626,505,146,291,519,347,255,477,169, 71,164,
293,304,475,252,582,283, 83,506,263,437,186, 87, 64,104,421,302,373,
100)(231,596) ] ],
[9, Factorial(626)/2,1,"2",[[625,1]],624, "Alt(626)", ["A",626, 1], "Alt"],
[10, Factorial(626),0,"2",[[625, 1]],626, "Sym(626)", ["A",626, 1], "Sym"]];
PRIMGRP[627]:=
[[1, Factorial(627)/2,1,"2",[[626,1]],625, "Alt(627)", ["A",627, 1], "Alt"],
[2, Factorial(627),0,"2",[[626, 1]],627, "Sym(627)", ["A",627, 1], "Sym"]];
PRIMGRP[628]:=
[[1, Factorial(628)/2,1,"2",[[627,1]],626, "Alt(628)", ["A",628, 1], "Alt"],
[2, Factorial(628),0,"2",[[627, 1]],628, "Sym(628)", ["A",628, 1], "Sym"]];
PRIMGRP[629]:=
[[1, Factorial(629)/2,1,"2",[[628,1]],627, "Alt(629)", ["A",629, 1], "Alt"],
[2, Factorial(629),0,"2",[[628, 1]],629, "Sym(629)", ["A",629, 1], "Sym"]];
PRIMGRP[630]:=
[[ 1, 185996663394950608733999724075417600000000, 1, "2",
[ [ 561, 1 ], [ 68, 1 ] ], 1, "Alt(36)", [ "A", 36, 1 ],
[ ( 2, 3, 5, 7, 11, 15, 21, 27, 35, 43, 53, 63, 75, 87,101,115,131,147,
165,183,203,223,245,267,291,315,341,367,395,423,453,483,515,547)
( 4, 6, 9, 12, 17, 22, 29, 36, 45, 54, 65, 76, 89,102,117,132,149,
166,185,204,225,246,269,292,317,342,369,396,425,454,485,516,549,581)
( 8, 13, 19, 25, 33, 41, 51, 61, 73, 85, 99,113,129,145,163,181,201,
221,243,265,289,313,339,365,393,421,451,481,513,545,579,612,548,582)
( 10, 14, 20, 26, 34, 42, 52, 62, 74, 86,100,114,130,146,164,182,202,
222,244,266,290,314,340,366,394,422,452,482,514,546,580,613,630,614)
( 16, 23, 31, 39, 49, 59, 71, 83, 97,111,127,143,161,179,199,219,241,
263,287,311,337,363,391,419,449,479,511,543,577,610,484,517,551,584)
( 18, 24, 32, 40, 50, 60, 72, 84, 98,112,128,144,162,180,200,220,242,
264,288,312,338,364,392,420,450,480,512,544,578,611,629,550,583,615)
( 28, 37, 47, 57, 69, 81, 95,109,125,141,159,177,197,217,239,261,285,
309,335,361,389,417,447,477,509,541,575,608,424,455,487,519,553,586)
( 30, 38, 48, 58, 70, 82, 96,110,126,142,160,178,198,218,240,262,286,
310,336,362,390,418,448,478,510,542,576,609,628,486,518,552,585,616)
( 44, 55, 67, 79, 93,107,123,139,157,175,195,215,237,259,283,307,333,
359,387,415,445,475,507,539,573,606,368,397,427,457,489,521,555,588)
( 46, 56, 68, 80, 94,108,124,140,158,176,196,216,238,260,284,308,334,
360,388,416,446,476,508,540,574,607,627,426,456,488,520,554,587,617)
( 64, 77, 91,105,121,137,155,173,193,213,235,257,281,305,331,357,385,
413,443,473,505,537,571,604,316,343,371,399,429,459,491,523,557,590)
( 66, 78, 92,106,122,138,156,174,194,214,236,258,282,306,332,358,386,
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( 88,103,119,135,153,171,191,211,233,255,279,303,329,355,383,411,441,
471,503,535,569,602,268,293,319,345,373,401,431,461,493,525,559,592)
( 90,104,120,136,154,172,192,212,234,256,280,304,330,356,384,412,442,
472,504,536,570,603,625,318,344,372,400,430,460,492,524,558,591,619)
(116,133,151,169,189,209,231,253,277,301,327,353,381,409,439,469,501,
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(118,134,152,170,190,210,232,254,278,302,328,354,382,410,440,470,502,
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(148,167,187,207,229,251,275,299,325,351,379,407,437,467,499,531,565,
598,184,205,227,249,273,297,323,349,377,405,435,465,497,529,563,596)
(150,168,188,208,230,252,276,300,326,352,380,408,438,468,500,532,566,
599,623,226,248,272,296,322,348,376,404,434,464,496,528,562,595,621)
(186,206,228,250,274,298,324,350,378,406,436,466,498,530,564,597,622),
( 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)
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