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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
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663,527,557,373,753,754,487)(188,350,298)(239,676,559)(283,631,515) (387,546,561) ] ], [ 5, 58968000000, 0, "2", [ [ 130, 1 ], [ 625, 1 ] ], 1, "PGammaU(4, 5)", [ "2A", [ 3, 5 ], 1 ], [ ( 1,307,235,317,428,688,432,383,165,177,591,682,368,638,582,147,331, 71, 388,315)( 2,643,426, 86,146,680,284,227, 19,708,513,385, 77,308,518, 660,433,243,483,581)( 3,394,741,290, 14,674,625,269,302,567,429,130, 413,636,223,389,425,754,168,260)( 4,637,702,731,201,484,142,566,320, 259,226,143,106,662,616,365,245,710,725, 94)( 5, 29, 92,689,523,502, 57,450,417,203,258,444, 88,694,261,608,342,306,249, 36) ( 6,752,667,652, 22,324,412,670,448,646,291,221,294, 63,599,212,598, 619, 51, 76)( 7,115,690,580,256,653,376,610,403,129) ( 8,136,421,546,224,341, 40,631,378, 43,310,387,276,673,678,515,535, 208,156,283)( 9, 61,328,470,471,655, 91, 39,264,521,411,316,491,401, 191,532,281,335,727,635)( 10,459,423,233,393,436,424,490,152,684,550, 534,440,398,633,558,452,222,239,729)( 11, 46, 85,176,139,456,454,586, 371,622,479,485,112,612,666,509,381, 78,486,278)( 12,620,540,170,460, 455,333,344,197,216,384,101,461,364,743,720,575, 35,251,721) ( 13,338,206,577,544,289,405,104,462,358,735,463, 98,489, 28,431,590, 81,632, 34)( 15,506,327,207, 84,552,121,492,657, 97,473,304,583,277, 654,404,715, 60,562,138)( 16,482,109,745,182,501,105,236, 17, 65,458, 159,563,180,445,188,386,361,255,120)( 18,487,740,661,517,686,695,516, 658,510,380,451,326,113, 47, 62,606,437,293,193)( 20,312,116, 38,134, 644,588,551,607, 55,747,171,659,465,559,124,318,406, 37,254) ( 21, 30,701,530,214,400,166,205,480,246,533, 32, 24,122,722,704,528, 420, 66, 54)( 23, 48,728,628,714, 80, 41,107,377,257,650,603,573,602, 494,131,230,123,624,373)( 25,613,351,218,154,100,195,163,505, 26,605, 280,449,539,739,733,554,712,220,370)( 27,270,275,746,707,158,742, 69, 545,204,325,359,390,641,514,392,162,669,213,553)( 31,543,329,140,441, 151,615,141,117,512,574,600,645,382,135,709,681, 42,190,627) ( 33,347,499,128,119,298,547,179,268,137, 53,711,697,252,164,362,237, 648,703,594)( 44,240, 89,738,663,395,507,198,609, 70,565,153,692,520, 668,279,192,651,737,418)( 45,595,319,356,311,126, 90, 87,511,481) ( 49,578,396,234, 56,175,194,330,397,496,693,665,560, 68,301,262,148, 103,355,149)( 50,305,696,687,110)( 52, 73,726,584,706,572,549,536, 614,196, 83,744,500,719,186,303,295,634,677,183)( 58,749,672,446,685, 210,242,343,366,354,211,360, 95,282,495,748,477,346,717,337) ( 59,585,664, 93,309)( 64,374,542,200,273,108,700,263,713,408,647,526, 363,571,102,161,357,375,266,443)( 67,372,555,399,250,144,589,313,705, 288,145,756,649,676,522,265,409,334,466,419)( 72,127,332, 75,297,178, 525,314,529,172,642,472,531,570,414,474,611,730,629,248) ( 74,321,181,453,623, 99,699,601,724,464,345,679,169,241,157,300,427, 656,592,350)( 79,322,469,587,732,593,229,557, 82,155,111,323,353,435, 618,231,434,691,541,683)( 96,114,173,597,285,189,299,736,671,626,267, 292,442,184,430,174,379,416,439,187)(118,475,415,286,698,410,476,734, 751,274,272,369,504,185,232,564,723,478,640,367)(125,493,556,150,718, 527,209,488,352,133,755,215,569,340,457,568,519,160,537,438)(132,271) (167,296,253,217,617,524,498,287,596,422,202,675,219,228,753,548,391, 468,247,576)(199,750,339,630,348,508,402,244,467,497,579,639,604,503, 238,336,538,447,716,621)(349,407), ( 1,131,373,452,151, 76,174,740, 31,470,181,558,482,160,187,247,673, 393,712,613,434, 82,409,294,549,137,176,533,362,609,111,586,534,193, 255,486, 70,190,647,109,249,465,513,570,240,478,406,661, 39,525,572, 743,547,530,642,756,183,559,268,165)( 2,708,711,248,618,238, 73,366, 53,243,439,365,200, 97,141, 75,485, 20,391, 58,357,621,745, 78,105, 397,665,474,471,587,695,225,669,500, 80,660,115,557,688,561,340,295, 281, 95,687,754, 55,283,287,658,300,314, 72,378,332,685,272,566,526, 506)( 3,158,156,123,435,208,707,523,585,691,590,545,104,601,651, 10, 520,273,662,235, 4,682,429, 88,432,543,147,129,422, 71,194,254,329, 180,493,656,324,571,335,578,274,573,306,256,292,451,597,494,321,505, 454,290,481,375,343, 29,293,117,172,698)( 5,747, 89,497,483, 19,234, 219,503,221,462,110,577,395,710,262,320,498,197,297,305,267,542,461, 568,598,342, 57,531,345,374,252,128,722,469,327, 11, 21,425,641,168, 257,672,736,286,610, 93,177,693, 69,667,702,719, 54,703,313,408,157, 617,258)( 6,594,389,229,299,564,678,718,737,582,118,317,316,713,170, 153,720,453,490,593, 38,162,438,569,228,211, 77,196,496,499,588, 85, 646, 51,591,233,315,328,652,127,705,654,726,214,633,510,550,746,584, 226,237,574,753, 91,155,532, 27,139,446,185)( 7, 12,179, 67,541,677, 721,536,634,119,164,750,624,709, 25,384,648,126, 66,519, 74,188,556, 411, 14,204,575,602, 47,441,217,116,309,253,140,382,423,341,232,212, 741, 22,236,361,527,580,508,638,396,727,537,548,427,125,704, 61,399, 692, 23,415)( 8,603,280,322,372,390,420,145,514,289,612,364, 46,625, 96,401,231,413,407,263,349,301,706,356,450, 59,515,455,546,632,246, 304,742,388,657,383,605,100,607, 79,608,189, 30,202,213,668, 49, 37, 643, 9,680,448,674,150,400,670,275,416,442,331)( 13,639, 34,583,102, 195,269,339,479,689,205,354,265,318,723, 86,730,134, 44,563,744,560, 697,630,491, 56,114,394,264,517,649,636,186,282,540,224,135,227,551, 276,298,386,166,285,410,402,103,733,284,334,637,606,245,731,443, 60, 216, 94,161,277)( 15,242,220,729,684,359,444,616, 18,291,308,112,244, 473,379,528,398,635,218,367,288,748,210,184,579,447,385, 35,436, 40, 17, 42,456,241,715,728,351,449,323,501,271,681,614,377,370,376,676, 502,387,136,346,296,222,620,581,460,716,626, 16,619)( 24,650,178,554, 169,215, 87, 26,679,353,512,380,645,113,426,191,266,686, 65,133, 43, 428, 64,107,521,507,623,714,615,403,392,596,142,468,209, 98,475,431, 167,149,539, 63,732,418,696,352,330,738,368,337,628, 50,611,484,666, 201,457,310,562,529)( 28,430,207,405,120,492,171,655, 92,121,230,480, 690,576,175,360,699,250,488, 83,363,640,717,421,371,152,192,417,333, 440,599,524,734,627,350,303,565, 33,592,752,260,159, 41,553,154,725, 261,595,504,522,675, 81,466,146,358, 62,600,108,476,516) ( 32,259,419,106,518,206,644,138,437,495,124,344,130,381,629,724,509, 412, 68,101,751,369,487,555,458,338,700,544,347,463,701,312,302,270, 735, 48,404, 99,198,414,664,424,433,251,203,755,464,663,173,239,223, 278,279,694,589,653,489,307,355,445)( 36,326,311,336,671,348,659, 90, 163,622,144,467, 45,749,148,683,143,132,552, 52,567,182,511,604, 84, 631,739,319,535,538)(122,459,325,477,199,472) ] ], [6, Factorial(756)/2,1,"2",[[755,1]],754, "Alt(756)", ["A",756, 1], "Alt"], [7, Factorial(756),0,"2",[[755, 1]],756, "Sym(756)", ["A",756, 1], "Sym"]]; PRIMGRP[757]:= [[ 1, 282027786768, 1, "2", [ [ 756, 1 ] ], 2, "L(3, 3^3)", [ "L", [ 3, 27 ], 1 ], [ ( 4,411,469,389, 90,620,125,691, 96,757, 42,560,553,736, 56,726,359,625, 285,367,350, 31,685, 83,588, 20)( 5,139,193, 78,240, 32,755,501,230, 593,156,418,582, 62,601,393, 75,652,306,440,752,707,116,532,619, 13) ( 6,670,571,674,427,429,576,510,255,276,449,713,368,154,290,535,311, 180,404,703,239,229,293, 97,244,725)( 7,650, 98,355,669,237,186,148, 40,179,410,283,332,434,482, 43,613,261,692,256,292, 37, 93,439, 73, 357)( 8,326, 47,550,480,294,252,533,648,709,297,222,445,131,627,569, 234,647,600,633,153, 88, 60,749,623,260)( 9,381,269,275,126,631,228, 746, 92,259,138,262,699,430, 33,423,464,545,366,287,373,150,309,737, 602,678)( 10,684,385,598,177,415,628,312,461,365,574,688,617,236,273, 221,530,543,466,289,343,118,663,540,458,145)( 11,457,267,442,257,483, 413,732,169,319,305,727,109,555,248,446,728,100,559,322,675,621, 95, 19,130,583)( 12,424, 16, 45,313,612,122, 76,615,425,175,505,416,634, 453,506,500,640,316,246,202,102,251,673,637,417)( 14,135,282,398,454, 323,694, 86,477, 61,167,689,369,611,421,216,511,486,549,310,270,473, 183,484,676,679)( 15,747,551,247,503, 39,266,123,474,268,552, 59,683, 490,512,616,321,452,672,407,577,513,397,328,303,666)( 17,208, 77,220, 91,300,470,667,143,664, 94,534,456, 79,721,374,168,641,565,218,599, 344,719,717,396,142)( 18,525,196,412,127,731,690, 84,724,515,352,586, 71,215,401, 48, 50,362,587,536,498, 82,542,520,748, 58) ( 21,491,361,716,320, 30, 38,325, 53,610, 34,137,198,214,561,349,665, 231,729,185,324,101,400,517,624, 25)( 22, 72,741,465,441,614,720,572, 253,639,161,375,157,504,147,194,448,632,302,658,258,705,516,420,537, 668)( 23,539,195,353,564,653,524, 65,327, 35,431,751,204, 24, 41,590, 523,622,376, 70,335,433,278,129,447,584)( 26,191,386,211,330,192,149, 499,338,245,607,603,301,710,206,210,507,608,636,563,422,478,233,677, 579,596)( 27,635,348,136,428,701,339,595,722,521,558,281,526, 89, 49, 52,733,107,165,594,475, 69,479,347,232,356)( 28,649,111, 85,546,566, 471,642,492,117,646,272,336,687,224,182,134,541, 74,354, 55,508,274, 121,146,189)( 29, 99,187,190,351,291,575,227,444,110, 57,241,581, 66, 659,174,489,384,605,567,522,655,497,488,395,132)( 36,205,494,743,176, 671, 46,495,657,308,128,250,378,394,403,426,432,383,238,209,472,249, 337,750,604,742)( 44,509,693,609,435,213,295,485,212,630,402,580,754, 589,460,152,181,304,341,144, 81,360,166,529,263,280)( 51,307,277,462, 450,279,562,106,392,271,660,714,730,382,108,656,298,419,443, 68,317, 518,544,387,178,568)( 54,702,314,708,697,643,188,358,740,606,718,225, 133,531,459,414,493,329,704,391,235,160,340,342,184,629) ( 63,644,119,556,661,112,158,437,363,738,199,680,405)( 64,104,406,735, 681,745,200,334,739,592,364,409,438,265,159,346,113,712,662,372,557, 243,120,172,645,115)( 67,538,124,573,638,696,436,399,207,318,481,162, 654,451,548,519,527,164,379, 87,284,163,468,686, 80,695) (103,114,171,242,371,711,345,264,408,591,333,744,734)(105,288,700,706, 296,698,141,331,388,723,753,547,380,682,170,554,463,299,496,578,585, 570,151,217,390,315)(140,155,377,756,226,476,715,528,223,219,201,502, 467,197,254,651,286,626,203,455,618,370,487,173,514,597), ( 1,569,268,200,199, 47,194,741,397,372,371, 3, 2)( 4, 37,580,191, 156,162,415, 45,599, 79,630, 31,448)( 5,538,710,705,146,692, 19, 33, 189,752,421,365,402)( 6,641,564, 17,311,583,614,308,723,547,494, 22, 248)( 7,739,738,297,164,442,179,280,546,488,377,376,351) ( 8,176, 99,635,106,332, 82,510,514, 50, 27,438,437)( 9, 18,389,406, 405,550,475, 78,603,694,384,251,515)( 10,349,733, 13,364,363,533,707, 339,561,343,316,425)( 11,221,141,490,720,278,125,163,388,227,354,663, 180)( 12, 81,373,566,357,617,745,744,749,691,505,185,693) ( 14,198,305,142,321,360, 48,233, 80,401,598,435,133)( 16,418,563,235, 91,730,632,722,471,731,682,107,704)( 20,531,673,327,485,300,458,703, 706,334,333,623,202)( 21,687,409,408,252,422,255,606, 49,584,344,508, 498)( 23,719,750, 68,624,551,447,529,241,154,228, 72,210) ( 24,262,545,118,410,536,395,295,217,420,289,753,452)( 25,414,108,385, 657,341,572,292,348,110,469,439,574)( 26,616,562,649,313,370,620,284, 549,441,454,736,640)( 28,645,644, 60,565, 84, 85,579,558,322,195,229, 257)( 29,525, 71,424, 36,224, 40,404,664,570,116,467,288) ( 30,430,543, 38,276,636,383, 75,715,359,346,345,600)( 32,679,618,279, 638,740,204,138,592,591,234,511,296)( 34,230,282,482,225,113,112, 88, 702, 98,310,755,214)( 35,527,699,530,713,126,127,727,559,689,470,613, 232)( 39,539,207,128,751,427,643,186,166,696,652,379,187) ( 41,588,675,132,522,665,399,479, 55,173,205,685,718)( 42,695,161,196, 626,249,725,604,476,520,465,481,285)( 43,347,184,735,734,131,700,216, 175,298,477,443,350)( 44,382,433,290, 64, 63,153,575,209,261,177,117, 724)( 46,634,670,265,264,633,651, 51,462,526,621,238,398) ( 52,619,254,690, 62,625,407,157,429,602, 77,757,483)( 53,337,250,607, 275,537,309,642,386,392,188,168,139)( 54,650,413,660,507,528,129,159, 158,480,542,534,356)( 56,639,532,411,247,571,380,170,393,336,291,267, 245)( 57,499,509,293,197,681,680,648, 95,468,121,306,136) ( 58,237,314,524,605,358,287,513,147,201,315,432,678)( 59,181,521,231, 622,423,218,416,258,500,259,320,568)( 61,459,637,274,145,662,661,647, 236, 74,102,340,167)( 65,548,223,519,353,174,375,667,269, 92,456,516, 444)( 66,466,148,676,150,381,400,256,674,697,464,672,271) ( 67,283,728,612,434,243,242,627,589,653,440,134,455)( 69,716, 83,726, 246,701,523,240, 96,552,330,362,493)( 70,501,165,178,472,684,495,352, 328,597,743, 94,756)( 73,160,317,615,100,517,567,299,489,737,120,119, 222)( 76,318,324,140,712,711,260,590,460,152,669,215,451) ( 86,213,747,478,355,270,368,151,394,137,253,101,585)( 87,449,155,540, 111,677,721,329,208,109,666,244,374)( 89,115,114,445,387,502,312, 93, 576,671,595,659,484)( 90,668,263,487,573,717,338,417,512,286,307,586, 335)( 97,149,446,226,578,658,450,535,403,436,609,323,303) (103,326,239,211,301,646,190,143,729,396,473,431,104)(105,611,182,203, 273,698,683,304,732,601,272,453,390)(122,135,587,426,577,206,655,656, 220,581,593,608,461)(123,219,367,560,629,428,555,748,277,366,504,391, 631)(124,714,496,302,331,281,419,212,628,378,708,486,686) (130,342,544,193,610,506,497,654,503,518,457,144,742)(169,463,557,556, 294,492,688,754,491,412,183,319,553)(171,709,746,361,369,596,325,192, 554,594,541,582,172) ] ], [ 2, 846083360304, 0, "2", [ [ 756, 1 ] ], 2, "L(3, 3^3):3 = PGammaL(3, 3^3)", [ "L", [ 3, 27 ], 1 ], [ ( 4,456,340,187,467,716,617,511,552,152,698,307,355,686, 33,257,240,330, 354,724,595,465,276,472,524,416)( 5, 26,182,127,136,668,429,432,195, 615,685,143,704,395,223, 25,461,369,266,580,288,387,357, 87,138, 11) ( 6,250,129, 45,625,220,531,567,756,324,598, 86,747,295,151,443,292, 548,631,621,707,478,646, 58,232,258)( 7,284,262,457,139,191,134,731, 428, 22,576,383,353,425, 83,664,391,132,219, 21,365,611,123,754,700, 178)( 8,326, 47,550,480,294,252,533,648,709,297,222,445,131,627,569, 234,647,600,633,153, 88, 60,749,623,260)( 9,728, 75,507,566,498,594, 194,229, 46,376,637,553,396,740,659,514,349,458,282,397,509,299,382, 43,318)( 10,454,303,609,578,656,261,162,269,559,306,636,642,542, 69, 632, 97,657,335, 12, 56, 17,718,489,140,231)( 13,596,224,412,348,537, 427,426,539, 76, 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(217,617,353,269,362,641,771,437,236,262,772,742)(255,600,304,714,388, 306,640,737,627,307,735,474) ] ], [2, Factorial(775)/2,1,"2",[[774,1]],773, "Alt(775)", ["A",775, 1], "Alt"], [3, Factorial(775),0,"2",[[774, 1]],775, "Sym(775)", ["A",775, 1], "Sym"]]; PRIMGRP[776]:= [[1, Factorial(776)/2,1,"2",[[775,1]],774, "Alt(776)", ["A",776, 1], "Alt"], [2, Factorial(776),0,"2",[[775, 1]],776, "Sym(776)", ["A",776, 1], "Sym"]]; PRIMGRP[777]:= [[1, Factorial(777)/2,1,"2",[[776,1]],775, "Alt(777)", ["A",777, 1], "Alt"], [2, Factorial(777),0,"2",[[776, 1]],777, "Sym(777)", ["A",777, 1], "Sym"]]; PRIMGRP[778]:= [[1, Factorial(778)/2,1,"2",[[777,1]],776, "Alt(778)", ["A",778, 1], "Alt"], [2, Factorial(778),0,"2",[[777, 1]],778, "Sym(778)", ["A",778, 1], "Sym"]]; PRIMGRP[779]:= [[1, Factorial(779)/2,1,"2",[[778,1]],777, "Alt(779)", ["A",779, 1], "Alt"], [2, Factorial(779),0,"2",[[778, 1]],779, "Sym(779)", ["A",779, 1], "Sym"]]; PRIMGRP[780]:= [[ 1, 407957641623948867172805634798057947136000000000, 1, "2", [ [ 76, 1 ], [ 703, 1 ] ], 1, "Alt(40)", [ "A", 40, 1 ], [ ( 2, 3, 5, 7, 11, 15, 21, 27, 35, 43, 53, 63, 75, 87,101,115,131,147, 165,183,203,223,245,267,291,315,341,367,395,423,453,483,515,547,581, 615,651,687)( 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, 516,549,582,617,652,689,725)( 8, 13, 19, 25, 33, 41, 51, 61, 73, 85, 99,113,129,145,163,181,201,221,243,265,289,313,339,365,393,421,451, 481,513,545,579,613,649,685,723,760,688,726)( 10, 14, 20, 26, 34, 42, 52, 62, 74, 86,100,114,130,146,164,182,202,222,244,266,290,314,340, 366,394,422,452,482,514,546,580,614,650,686,724,761,780,762) ( 16, 23, 31, 39, 49, 59, 71, 83, 97,111,127,143,161,179,199,219,241, 263,287,311,337,363,391,419,449,479,511,543,577,611,647,683,721,758, 616,653,691,728)( 18, 24, 32, 40, 50, 60, 72, 84, 98,112,128,144,162, 180,200,220,242,264,288,312,338,364,392,420,450,480,512,544,578,612, 648,684,722,759,779,690,727,763)( 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, 575,609,645,681,719,756,548,583,619,655,693,730)( 30, 38, 48, 58, 70, 82, 96,110,126,142,160,178,198,218,240,262,286,310,336,362,390,418, 448,478,510,542,576,610,646,682,720,757,778,618,654,692,729,764) ( 44, 55, 67, 79, 93,107,123,139,157,175,195,215,237,259,283,307,333, 359,387,415,445,475,507,539,573,607,643,679,717,754,484,517,551,585, 621,657,695,732)( 46, 56, 68, 80, 94,108,124,140,158,176,196,216,238, 260,284,308,334,360,388,416,446,476,508,540,574,608,644,680,718,755, 777,550,584,620,656,694,731,765)( 64, 77, 91,105,121,137,155,173,193, 213,235,257,281,305,331,357,385,413,443,473,505,537,571,605,641,677, 715,752,424,455,487,519,553,587,623,659,697,734)( 66, 78, 92,106,122, 138,156,174,194,214,236,258,282,306,332,358,386,414,444,474,506,538, 572,606,642,678,716,753,776,486,518,552,586,622,658,696,733,766) ( 88,103,119,135,153,171,191,211,233,255,279,303,329,355,383,411,441, 471,503,535,569,603,639,675,713,750,368,397,427,457,489,521,555,589, 625,661,699,736)( 90,104,120,136,154,172,192,212,234,256,280,304,330, 356,384,412,442,472,504,536,570,604,640,676,714,751,775,426,456,488, 520,554,588,624,660,698,735,767)(116,133,151,169,189,209,231,253,277, 301,327,353,381,409,439,469,501,533,567,601,637,673,711,748,316,343, 371,399,429,459,491,523,557,591,627,663,701,738)(118,134,152,170,190, 210,232,254,278,302,328,354,382,410,440,470,502,534,568,602,638,674, 712,749,774,370,398,428,458,490,522,556,590,626,662,700,737,768) (148,167,187,207,229,251,275,299,325,351,379,407,437,467,499,531,565, 599,635,671,709,746,268,293,319,345,373,401,431,461,493,525,559,593, 629,665,703,740)(150,168,188,208,230,252,276,300,326,352,380,408,438, 468,500,532,566,600,636,672,710,747,773,318,344,372,400,430,460,492, 524,558,592,628,664,702,739,769)(184,205,227,249,273,297,323,349,377, 405,435,465,497,529,563,597,633,669,707,744,224,247,271,295,321,347, 375,403,433,463,495,527,561,595,631,667,705,742)(186,206,228,250,274, 298,324,350,378,406,436,466,498,530,564,598,634,670,708,745,772,270, 294,320,346,374,402,432,462,494,526,560,594,630,666,704,741,770) (226,248,272,296,322,348,376,404,434,464,496,528,562,596,632,668,706, 743,771), ( 1, 2, 4)( 3, 6, 10)( 5, 8, 9)( 7, 12, 18) ( 11, 16, 17)( 15, 22, 30)( 21, 28, 29)( 27, 36, 46)( 35, 44, 45) ( 43, 54, 66)( 53, 64, 65)( 63, 76, 90)( 75, 88, 89)( 87,102,118) (101,116,117)(115,132,150)(131,148,149)(147,166,186)(165,184,185) (183,204,226)(203,224,225)(223,246,270)(245,268,269)(267,292,318) (291,316,317)(315,342,370)(341,368,369)(367,396,426)(395,424,425) (423,454,486)(453,484,485)(483,516,550)(515,548,549)(547,582,618) (581,616,617)(615,652,690)(651,688,689)(687,725,762) ] ], [ 2, 815915283247897734345611269596115894272000000000, 0, "2", [ [ 76, 1 ], [ 703, 1 ] ], 1, "Sym(40)", [ "A", 40, 1 ], [ ( 1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82, 91,101,111,122,133,145,157,170,183,197,211,226,241,257,273,290,307, 325,343,362,381,401)( 4, 6, 8, 11, 14, 18, 22, 27, 32, 38, 44, 51, 58, 66, 74, 83, 92,102,112,123,134,146,158,171,184,198,212,227,242, 258,274,291,308,326,344,363,382,402,422,421)( 9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59, 67, 75, 84, 93,103,113,124,135,147,159,172,185, 199,213,228,243,259,275,292,309,327,345,364,383,403,423,443,442,462) ( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68, 76, 85, 94,104,114,125,136, 148,160,173,186,200,214,229,244,260,276,293,310,328,346,365,384,404, 424,444,464,463,483,503)( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95, 105,115,126,137,149,161,174,187,201,215,230,245,261,277,294,311,329, 347,366,385,405,425,445,465,485,484,504,524,544)( 36, 42, 48, 55, 62, 70, 78, 87, 96,106,116,127,138,150,162,175,188,202,216,231,246,262, 278,295,312,330,348,367,386,406,426,446,466,486,506,505,525,545,565, 585)( 49, 56, 63, 71, 79, 88, 97,107,117,128,139,151,163,176,189,203, 217,232,247,263,279,296,313,331,349,368,387,407,427,447,467,487,507, 527,526,546,566,586,606,626)( 64, 72, 80, 89, 98,108,118,129,140,152, 164,177,190,204,218,233,248,264,280,297,314,332,350,369,388,408,428, 448,468,488,508,528,548,547,567,587,607,627,647,667)( 81, 90, 99,109, 119,130,141,153,165,178,191,205,219,234,249,265,281,298,315,333,351, 370,389,409,429,449,469,489,509,529,549,569,568,588,608,628,648,668, 685,701)(100,110,120,131,142,154,166,179,192,206,220,235,250,266,282, 299,316,334,352,371,390,410,430,450,470,490,510,530,550,570,590,589, 609,629,649,669,686,702,716,729)(121,132,143,155,167,180,193,207,221, 236,251,267,283,300,317,335,353,372,391,411,431,451,471,491,511,531, 551,571,591,611,610,630,650,670,687,703,717,730,741,751) (144,156,168,181,194,208,222,237,252,268,284,301,318,336,354,373,392, 412,432,452,472,492,512,532,552,572,592,612,632,631,651,671,688,704, 718,731,742,752,760,767)(169,182,195,209,223,238,253,269,285,302,319, 337,355,374,393,413,433,453,473,493,513,533,553,573,593,613,633,653, 652,672,689,705,719,732,743,753,761,768,773,777)(196,210,224,239,254, 270,286,303,320,338,356,375,394,414,434,454,474,494,514,534,554,574, 594,614,634,654,646,666,684,700,715,728,740,750,759,766,772,776,779, 780)(225,240,255,271,287,304,321,339,357,376,395,415,435,455,475,495, 515,535,555,575,595,615,635,655,673,605,625,645,665,683,699,714,727, 739,749,758,765,771,775,778)(256,272,288,305,322,340,358,377,396,416, 436,456,476,496,516,536,556,576,596,616,636,656,674,690,564,584,604, 624,644,664,682,698,713,726,738,748,757,764,770,774)(289,306,323,341, 359,378,397,417,437,457,477,497,517,537,557,577,597,617,637,657,675, 691,706,523,543,563,583,603,623,643,663,681,697,712,725,737,747,756, 763,769)(324,342,360,379,398,418,438,458,478,498,518,538,558,578,598, 618,638,658,676,692,707,720,482,502,522,542,562,582,602,622,642,662, 680,696,711,724,736,746,755,762)(361,380,399,419,439,459,479,499,519, 539,559,579,599,619,639,659,677,693,708,721,733,441,461,481,501,521, 541,561,581,601,621,641,661,679,695,710,723,735,745,754) (400,420,440,460,480,500,520,540,560,580,600,620,640,660,678,694,709, 722,734,744), ( 2, 4)( 6, 9)( 12, 16)( 20, 25)( 30, 36)( 42, 49) ( 56, 64)( 72, 81)( 90,100)(110,121)(132,144)(156,169)(182,196) (210,225)(240,256)(272,289)(306,324)(342,361)(380,400)(401,421) (420,441)(422,442)(443,463)(461,482)(464,484)(485,505)(502,523) (506,526)(527,547)(543,564)(548,568)(569,589)(584,605)(590,610) (611,631)(625,646)(632,652)(653,666) ] ], [3, Factorial(780)/2,1,"2",[[779,1]],778, "Alt(780)", ["A",780, 1], "Alt"], [4, Factorial(780),0,"2",[[779, 1]],780, "Sym(780)", ["A",780, 1], "Sym"]]; PRIMGRP[781]:= [[ 1, 56653740000000000, 1, "2", [ [ 780, 1 ] ], 2, "PSL(5, 5)", [ "L", [ 5, 5 ], 1 ], [ ( 6, 26,626,126)( 10,469,150,197)( 11,751,113,509)( 14,380,700, 93) ( 15,675, 86,539)( 16,230,617,405)( 18,530,292,160)( 19,358,672,346) ( 20,718,486,745)( 21,621,778,121)( 22,465,487,556)( 23,339, 92,318) ( 24,456,111,468)( 25,781,625,125)( 30,560,457,414)( 31,724,240,470) ( 34,236, 82,271)( 35,335,169,451)( 36,580,547,583)( 38,229,755,523) ( 39,449,514,676)( 41,448,117,616)( 42,144,540, 58)( 44,147,369,398) ( 45,503,409,120)( 46,746,235,779)( 47,578,254,447)( 48,642, 55,320) ( 49,749,203,238)( 51,131,198,561)( 54,429,615,312)( 56,418, 95,374) ( 60,109,689,309)( 61,709,184,619)( 62,446,489,592)( 63,201,733,674) ( 64,685,209,516)( 65, 84,256,550)( 67,222,352,272)( 68,431,497,702) ( 70,760,317,296)( 71,247,426,348)( 72,661,289,768)( 73,506,683,333) ( 74,142,692,134)( 75,285,678,594)( 76,738,420,365)( 78,217,370,368) ( 79,681,435,505)( 80,502,367,769)( 81,577,732,148)( 83,462,597,175) ( 87,756,483,766)( 89,298,528,185)( 90,411,744,638)( 91,347,164,232) ( 94,202,264,402)( 97,440,694,210)( 99,183,571,361)(100,214,172,605) (101,758,762,601)(102,536,180,606)(103,772,741,499)(104,326,294,355) (105,179,698,600)(106,433,759,445)(107,234,555,620)(108,122,410,193) 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19,121,609, 411,625,721,299)( 11,140,613,403,644,725,291, 28,137,599,420,641,711, 308, 25,123,616,417,627,728,305)( 12,130,604,404,634,716,292, 18,128, 600,410,632,712,298, 16,124,606,408,628,718,296)( 29,386,279,729,778, 251,309, 50,391,253,750,783,225,330, 55,365,274,755,757,246,335) ( 30,370,269,730,762,241,310, 34,381,254,734,773,226,314, 45,366,258, 745,758,230,325)( 31,378,265,731,770,237,311, 42,377,255,742,769,227, 322, 41,367,266,741,759,238,321)( 32,374,267,732,766,239,312, 38,379, 256,738,771,228,318, 43,368,262,743,760,234,323)( 33,369,257,733,761, 229,313)( 35,387,278,735,779,250,315, 51,390,259,751,782,231,331, 54, 371,275,754,763,247,334)( 36,384,276,736,776,248,316, 48,388,260,748, 780,232,328, 52,372,272,752,764,244,332)( 37,385,271,737,777,243,317, 49,383,261,749,775,233,329, 47,373,273,747,765,245,327) ( 39,392,277,739,784,249,319, 56,389,263,756,781,235,336, 53,375,280, 753,767,252,333)( 40,382,268,740,774,240,320, 46,380,264,746,772,236, 326, 44,376,270,744,768,242,324)( 57,162,475,477,442,587,197, 78,167, 449,498,447,561,218, 83,141,470,503,421,582,223)( 58,146,465,478,426, 577,198, 62,157,450,482,437,562,202, 73,142,454,493,422,566,213) ( 59,154,461,479,434,573,199, 70,153,451,490,433,563,210, 69,143,462, 489,423,574,209)( 60,150,463,480,430,575,200, 66,155,452,486,435,564, 206, 71,144,458,491,424,570,211)( 61,145,453,481,425,565,201) ( 63,163,474,483,443,586,203, 79,166,455,499,446,567,219, 82,147,471, 502,427,583,222)( 64,160,472,484,440,584,204, 76,164,456,496,444,568, 216, 80,148,468,500,428,580,220)( 65,161,467,485,441,579,205, 77,159, 457,497,439,569,217, 75,149,469,495,429,581,215)( 67,168,473,487,448, 585,207, 84,165,459,504,445,571,224, 81,151,476,501,431,588,221) ( 68,158,464,488,438,576,208, 74,156,460,494,436,572,214, 72,152,466, 492,432,578,212)( 85,358,559,645,526,699,169,106,363,533,666,531,673, 190,111,337,554,671,505,694,195)( 86,342,549,646,510,689,170, 90,353, 534,650,521,674,174,101,338,538,661,506,678,185)( 87,350,545,647,518, 685,171, 98,349,535,658,517,675,182, 97,339,546,657,507,686,181) ( 88,346,547,648,514,687,172, 94,351,536,654,519,676,178, 99,340,542, 659,508,682,183)( 89,341,537,649,509,677,173)( 91,359,558,651,527, 698,175,107,362,539,667,530,679,191,110,343,555,670,511,695,194) ( 92,356,556,652,524,696,176,104,360,540,664,528,680,188,108,344,552, 668,512,692,192)( 93,357,551,653,525,691,177,105,355,541,665,523,681, 189,103,345,553,663,513,693,187)( 95,364,557,655,532,697,179,112,361, 543,672,529,683,196,109,347,560,669,515,700,193)( 96,354,548,656,522, 688,180,102,352,544,662,520,684,186,100,348,550,660,516,690,184) ] ], [ 3, 225792, 0, "4c", [ [ 36, 4 ], [ 72, 2 ], [ 6, 1 ], [ 24, 1 ], [ 144, 3 ], [ 9, 1 ], [ 12, 2 ] ], 1, "PGL(2, 7) wreath Sym(2)", [ "L", [ 2, 7 ], 2 ], [ ( 1,268,552, 6,436,556,146,442,668,168,610,654,784,589,262,776) ( 2,352,543, 34,429,304,154,246,659,392,600,402,775,309,265,524) ( 3,128,539, 62,441,192,145,582,647,140,595, 66,777,169,257,580) ( 4,716,559, 90,445,752,163,694,661,644,596,458,774,197,278,496) ( 5,576,535,118,427, 80,161,190,649,588,591,122,763, 57,273,188) ( 7, 72,553,174,425,584,143,134,651, 84,609,178,761,561,255,132) ( 8,464,550,202,446,500,144,722,671,112,613,738,779,673,269,636) ( 9,296,546,230,435,388,152,414,663,336,601,514,758,337,263, 48) ( 10,772,533,258,440, 24,156,554,650,448,612,150,778,645,280,608) ( 11, 44,541,286,434,248,155,386,656,420,607,318,769,505,254,356) ( 12,408,551,314,433,528,142,358,655, 56,597,290,770,225,267,384) ( 13,520,534,342,431, 52,149,302,658,252,603,374,768,393,271,328) ( 14,240,547,370,432,416,159,330,657,532,590,346,767, 29,261,300) ( 15,380,544,398,439,332,153,526,646,364,599, 38,765,281,266,244) ( 16,548,538,426,444,164,162,666,672,616,598,766,757,253,272, 20) ( 17,632,540,454,438,220,166,498,648,728,615, 94,781,729,275,692) ( 18,212,558,482,424,724,167,106,669,756,611,682,773,617,260,468) ( 19,324,545,510,422,360,151, 50,653,308,602,234,771,365,264,412) ( 21,184,537,566,423,136,147, 78,665,196,593,570,759,113,259, 76) ( 22,660,560,594,430,780,141,274,664, 28,604,542,762,421,276,160) ( 23,688,549,622,428,472,158,218,670,504,592,710,783, 85,277,748) ( 25,744,555,678,437,640,148,470,662,224,614,486,760,701,279,104) ( 26,492,536,706,447,108,165,750,667,700,605,626,764,449,270,216) ( 27,100,557,734,443,696,157,638,652,476,606,206,782,477,256,720) ( 30,345,291, 42,233,295,378,236,407,383,320,405,523,310,349,515) ( 31,121,287, 70,245,183,369,572,395,131,315, 69,525,170,341,571) ( 32,709,307, 98,249,743,387,684,409,635,316,461,522,198,362,487) ( 33,569,283,126,231, 71,385,180,397,579,311,125,511, 58,357,179) ( 35, 65,301,182,229,575,367,124,399, 75,329,181,509,562,339,123) ( 36,457,298,210,250,491,368,712,419,103,333,741,527,674,353,627) ( 37,289,294,238,239,379,376,404,411,327,321,517,506,338,347, 39) ( 40,401,299,322,237,519,366,348,403, 47,317,293,518,226,351,375) ( 41,513,282,350,235, 43,373,292,406,243,323,377,516,394,355,319) ( 45,625,288,462,242,211,390,488,396,719,335, 97,529,730,359,683) ( 46,205,306,490,228,715,391, 96,417,747,331,685,521,618,344,459) ( 49,177,285,574,227,127,371, 68,413,187,313,573,507,114,343, 67) ( 51,681,297,630,232,463,382,208,418,495,312,713,531, 86,361,739) ( 53,737,303,686,241,631,372,460,410,215,334,489,508,702,363, 95) ( 54,485,284,714,251, 99,389,740,415,691,325,629,512,450,354,207) ( 55, 93,305,742,247,687,381,628,400,467,326,209,530,478,340,711) ( 59,133,175, 61,581,171,117,567)( 60,721,195, 89,585,731,135,679, 73, 637,176,453,578,199,138,483)( 63, 77,189,173,565,563,115,119) ( 64,469,186,201,586,479,116,707, 83,105,193,733,583,675,129,623) ( 74,217,194,481,564,703,139, 91, 81,749,191,677,577,619,120,455) ( 79,693,185,621,568,451,130,203, 82,497,172,705,587, 87,137,735) ( 88,725,755,107,697,745,639,680,465,634,204,474,494,200,726,503) ( 92,473,746,219,698,493,620,708,475,102,221,754,499,676,717,643) (101,641,736,471,690,213,642,484,452,718,223,110,501,732,723,699) (109,753,751,695,689,633,624,456,466,214,222,502,480,704,727,111), ( 1,500,540,516,116,770)( 2,640,534,628,114,630)( 3,108,547,152,119, 378)( 4,780,533,488,120,518)( 5, 52,549,600,123,350) ( 6,444,560,740,137,574)( 7,388,535, 96,127,154)( 8,528,536,768, 113,490)( 9,192,542,684,130,462)( 10,696,550,460,121,182) ( 11,360,537, 40,129,602)( 12,136,546)( 13,220,559,264,133, 70) ( 14, 24,556,544,124,126)( 15,164,539,376,115, 98)( 16,304,554,236, 135,658)( 17,612,543,348,117, 42)( 18,472,541,180,122,686) ( 19,416,558,320,132,714)( 20,724,551,404,138,322)( 21, 80,545,208, 139,266)( 22,248,555,656,128,294)( 23,668,548,292,134,238) ( 25,584,538,432,140,742)( 26,332,552,712,131,406)( 27,276,553, 68, 125,210)( 28,752,557,572,118,434)( 29,493,596,515,340,761) ( 30,633,590,627,338,621)( 31,101,603,151,343,369)( 32,773,589,487, 344,509)( 33, 45,605,599,347,341)( 34,437,616,739,361,565) ( 35,381,591, 95,351,145)( 36,521,592,767,337,481)( 37,185,598,683, 354,453)( 38,689,606,459,345,173)( 39,353,593)( 41,213,615,263,357, 61)( 43,157,595,375,339, 89)( 44,297,610,235,359,649) ( 46,465,597,179,346,677)( 47,409,614,319,356,705)( 48,717,607,403, 362,313)( 49, 73,601,207,363,257)( 50,241,611,655,352,285) ( 51,661,604,291,358,229)( 53,577,594,431,364,733)( 54,325,608,711, 355,397)( 55,269,609, 67,349,201)( 56,745,613,571,342,425) ( 57,489,204,531,256,777)( 58,629,198,643,254,637)( 59, 97,211,167, 259,385)( 60,769,197,503,260,525)( 62,433,224,755,277,581) ( 63,377,199,111,267,161)( 64,517,200,783,253,497)( 65,181,206,699, 270,469)( 66,685,214,475,261,189)( 69,209,223,279,273, 77) ( 71,153,203,391,255,105)( 72,293,218,251,275,665)( 74,461,205,195, 262,693)( 75,405,222,335,272,721)( 76,713,215,419,278,329) ( 78,237,219,671,268,301)( 79,657,212,307,274,245)( 81,573,202,447, 280,749)( 82,321,216,727,271,413)( 83,265,217)( 84,741,221,587,258, 441)( 85,491,148,511,368,759)( 86,631,142,623,366,619) ( 87, 99,155,147,371,367)( 88,771,141,483,372,507)( 90,435,168,735, 389,563)( 91,379,143)( 92,519,144,763,365,479)( 93,183,150,679,382, 451)( 94,687,158,455,373,171)(100,295,162,231,387,647) (102,463,149,175,374,675)(103,407,166,315,384,703)(104,715,159,399, 390,311)(106,239,163,651,380,283)(107,659,156,287,386,227) (109,575,146,427,392,731)(110,323,160,707,383,395)(112,743,165,567, 370,423)(169,486,680,522,452,765)(170,626,674,634,450,625) (172,766,673,494,456,513)(174,430,700,746,473,569)(176,514,676,774, 449,485)(177,178,682,690,466,457)(184,290,694,242,471,653) (186,458,681)(187,402,698,326,468,709)(188,710,691,410,474,317) (190,234,695,662,464,289)(191,654,688,298,470,233)(193,570,678,438, 476,737)(194,318,692,718,467,401)(196,738,697,578,454,429) (225,499,652,520,284,778)(226,639,646,632,282,638)(228,779,645,492, 288,526)(230,443,672,744,305,582)(232,527,648,772,281,498) (240,303,666)(243,415,670,324,300,722)(244,723,663,408,306,330) (246,247,667,660,296,302)(249,583,650,436,308,750)(250,331,664,716, 299,414)(252,751,669,576,286,442)(309,496,708,523,396,782) (310,636,702,635,394,642)(312,776,701,495,400,530)(314,440,728,747, 417,586)(316,524,704,775,393,502)(327,412,726)(328,720,719,411,418, 334)(333,580,706,439,420,754)(336,748,725,579,398,446) (421,504,736,529,564,762)(422,644,730,641,562,622)(424,784,729,501, 568,510)(426,448,756,753,585,566)(428,532,732,781,561,482) (445,588,734)(477,484,512,508,760,757)(478,624,506,620,758,617) (480,764,505) ] ], [ 4, 508032, 0, "4c", [ [ 81, 3 ], [ 18, 3 ], [ 162, 3 ] ], 1, "PSL(2, 8) wreath Sym(2)", [ "L", [ 2, 8 ], 2 ], [ ( 1,413,556,680,342,593,504,241,330,460, 86,634,377,523, 31,222,172,653) ( 2,637,545,512,339,201,480,661,309,404,108,690,370,607, 56,250,190, 457)( 3,217,536,652,337,397,500,689,314,600,112,242,386,467, 30,642, 181,513)( 4,665,533,400,360,677,482,605,336,236,106,466,366,635, 41, 530,171,205)( 5,497,549,316,348, 89,494,381,327, 40,110,186,373, 19, 49,558,176,345)( 6,609,560,232,358,453,478,633,321,516, 87,214,368, 663, 29,418,192,681)( 7,581,539,568,343,565,483,577,315,572, 91,578, 371,579, 35,586,175,569)( 8,357,537,484,353,313,488,101,326,376,103, 46,390,187, 37, 26,189,541)( 9, 21,553,540,344,341,481,493,325,320, 96,102,382,383, 47, 54,194,177)( 10, 77,557,148,359,257,491,129,324, 292,104,746,375,719, 55,446,182,765)( 11,721,559,428,350,761,486, 73, 333,152,107,270,379,131, 44,306,188,737)( 12,105,550,372,355, 33,502, 185,317)( 13,525,535,204,340,649,477,409,332,684, 90,606,392,243, 50, 474,170,625)( 14,777,542, 64,361,145,499,269,323,124,100,298,384,747, 39,726,195,429)( 15,133,548,288,356,733,487,717,335,432, 98,774,374, 75, 53,166,191,261)( 16,301,552,736,347,705,503,437,322,768, 94, 74, 389,159, 51,278,183,121)( 17,329,544, 92,354,369,495, 45,334,180, 93, 18,385,551, 36,362,173,485)( 20,749,543,708,363,425,490,773,318, 68, 109,158,387,271, 43,138,184,289)( 22,469,534,624,349,509,479,213,312, 656, 85,410,388,691, 34,614,196,233)( 23,273,547,120,352,285,496,745, 319,712,111,438,378,775, 38, 82,193,149)( 24,693,538,596,364,229,498, 465,310,628, 97,522,367,215, 32,670,169,401)( 25,161,555,260,351,117, 492,297,328,740, 95,718,391,439, 42,782,178, 65)( 27,441,546,764,346, 61,501,157,331,264, 99,130,380,299, 48,754,179,709)( 28,245,554,456, 338,621,489,521,311,208, 88,662,365,411, 52,698,174,597) ( 57,417,164,695,258,603,140,240,302,468,730,627,713,531,423,210,760, 654)( 58,641,153,527,255,211,116,660,281,412,752,683,706,615,448,238, 778,458)( 59,221,144,667,253,407,136,688,286,608,756,235,722,475,422, 630,769,514)( 60,669,141,415,276,687,118,604,308,244,750,459,702,643, 433,518,759,206)( 62,613,168,247,274,463,114,632,293,524,731,207,704, 671,421,406,780,682)( 63,585,147,583,259,575,119,576,287,580,735,571, 707,587,427,574,763,570)( 66, 81,165,163,275,267,127,128,296,300,748, 739,711,727,447,434,770,766)( 67,725,167,443,266,771,122, 72,305,160, 751,263,715,139,436,294,776,738)( 69,529,143,219,256,659,113,408,304, 692,734,599,728,251,442,462,758,626)( 70,781,150, 79,277,155,135,268, 295,132,744,291,720,755,431,714,783,430)( 71,137,156,303,272,743,123, 716,307,440,742,767,710, 83,445,154,779,262)( 76,753,151,723,279,435, 126,772,290)( 78,473,142,639,265,519,115,212,284,664,729,403,724,699, 426,602,784,234)( 80,697,146,611,280,239,134,464,282,636,741,515,703, 223,424,658,757,402)( 84,249,162,471,254,631,125,520,283,216,732,655, 701,419,444,686,762,598)(197,396,668,673,398,612,700,230,610,476,226, 638,461,506,619,209,508,647)(198,620,657,505,395,220,676,650,589,420, 248,694,454,590,644,237,526,451)(199,200,648,645,393,416,696,678,594, 616,252,246,470,450,618,629,517,507)(202,592,672,225,414,472,674,622, 601,532,227,218,452,646,617,405,528,675)(203,564,651,561,399,584,679, 566,595,588,231,582,455,562,623,573,511,563)(224,228,666,449,394,640, 685,510,591), ( 1, 92, 67,118,742,669,489,198,299,259,621, 52,251, 604,681,386,152,469)( 2,288, 63,622,752,249,492,674,302,147,637, 24, 232, 72,678,750,165,497)( 3,344, 84,762,732,585,486,702,297,539,631, 192,247,408,698,526,160,329)( 4,568, 66,706,745,557,491,170,303,399, 642,528,244,324,675,358,168,777)( 5, 36, 83,594,737,389,488,450,281, 91,627,136,238,660,685,218,159,273)( 6,736, 81,482,730,305,483,618, 304,231,632,696,246,156,693, 22,148, 77)( 7,624, 80,230,744,697,498, 142,301)( 8, 64, 62,734,753,501,478,282,287,623,640,248,240,688,694, 162,161, 21)( 9,372, 68,454,729,109,487,114,294,651,629,220,243,268, 677, 50,167,609)( 10,708, 73,538,743,193,499,394,306,511,636,332,227, 352,700,778,144,581)( 11,120, 70,650,741,221,495,254,285, 35,643,612, 233,380,684,470,141,105)( 12,456, 57, 90,739,137,490,646,293,203,635, 276,229, 44,699,610,149,385)( 13,204, 75,258,733, 53,503,590,289,371, 628,472,225,100,683,134,154,665)( 14,652, 69,202,747,277,481, 30,307, 595,625,388,236,464,673,106,151,133)( 15,176, 79,398,754,529,496,310, 283,343,644,780,228,576,682,722,157,553)( 16,680, 78,146,749, 25,484, 58,286,735,641,500,226,296,679,638,164,245)( 17,540, 71,174,751,417, 502,506,300,315,619,360,252,772,676,582,150,721)( 18,428, 74,426,746, 445,494,422,298,427,634,444,242,436,690,442,158,441)( 19,260, 61, 34, 755,613,485,366,292,455,617,108,235,128,686,666,153,217) ( 20,316, 59,342,756,781,480,562,290,707,633,556,239,184,695,414,166, 525)( 23,400, 82,510,748,333,479,338,308,763,620,584,234,716,689,554, 155,189)( 26,512, 76,314,731,361,504,758,284,567,626,724,241,548,687, 190,163,413)( 27,596, 65,370,740,473,477, 86,291,119,630,668,237,212, 691,274,145, 49)( 28,764, 60,566,738,725,493,534,295,175,639,416,250, 520,692,330,143,357)( 29,111,599,121,378,656,461,197,103,263,117, 42, 671,601,205,383,264,453)( 31,363,616,765,368,572,458,701,101,543,127, 182,667,405,222,523,272,313)( 32,587,598,709,381,544,463,169,107,403, 138,518,664,321,199,355,280,761)( 33, 55,615,597,373,376,460,449, 85, 95,123,126,658,657,209,215,271,257)( 37,391,600,457,365, 96,459,113, 98,655,125,210,663,265,201, 47,279,593)( 38,727,605,541,379,180,471, 393,110,515,132,322,647,349,224,775,256,565)( 39,139,602,653,377,208, 467,253, 89)( 40,475,589, 93,375,124,462,645, 97,207,131,266,649, 41, 223,607,261,369)( 43,195,611,401,390,516,468,309, 87,347,140,770,648, 573,206,719,269,537)( 45,559,603,177,387,404,474,505,104,319,115,350, 672,769,200,579,262,705)( 46,447,606,429,382,432,466,421,102,431,130, 434,662,433,214,439,270,425)( 48,335,591,345,392,768,452,561, 94,711, 129,546,659,181,219,411,278,509)( 51,419,614,513,384,320,451,337,112, 767,116,574,654,713,213,551,267,173)( 54,531,608,317,367,348,476,757, 88,571,122,714,661,545,211,187,275,397)( 56,783,592,569,374,712,465, 533, 99,179,135,406,670,517,216,327,255,341)(171,359,420,782,508,580, 318,703,353,560,771,172,583,402,726,521,552,323)(178,723,409,558,519, 188,331,395,362,532,776,312,563,346,728,773,536,575)(183,191,415,418, 530,524,328,311,339,364,784,760,564,570,710,717,549,547) 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85,569,451,643,165,304,482,680) ( 36, 41,265,266,406,409,101, 93,457,475,167,164,500,484) ( 37,461,279,154,416,493, 92)( 38,517,267,210,403,353,110, 65,470,727, 168,136,488,176)( 39,349,278, 70,414,717,112,121,460,195,150,528,491, 204)( 40,181,262,518,407,213, 95,345,474, 83,162,724,504,120) ( 42,405,269, 98,401,465,111,149,472,503,148, 52,489,260) ( 43,209,263,350,418, 73,106,709,476,139,152,192,486,512) ( 45, 97,261,462,419,157,108,485,456, 55,153,276,490,400) ( 48,657,253,574,395,633,109,289,454,699,147,248,478,764) ( 50,713,280,126,404,185, 94,513,463,223,151,360,502, 64) ( 53,293,258,686,399,241, 86,765,468,671,141,584,479,624) ( 54, 69,274,714,420,129, 96,177,458,531,155,220,487,344) ( 56,125,264,182,402,521, 99,205,459,363,166, 80,498,708) ( 57,582,703,644,137,292,174,682,511,239,198,767,356,670) ( 58,778,720,672,113,572,171,626,529,295,202,683,343,250) ( 59,638,725,308,118,684,175,234,506,771,216,655,337,586) ( 62,694,707,252,114,768,188,654,505,575,199,627,361,306) ( 63,246,702,784,132,656,169,570,507,631,221,291,342,698) ( 66,526,715,224,123,348,194)( 67,358,726, 84,134,712,196,122,516,183, 206,515,351,222)( 68,190,710,532,127,208,179,346,530, 71,218,711,364, 138)( 76,666,701,588,115,628,193,290,510,687,203,235,338,782) ( 78,722,728,140,124,180,178,514,519,211,207,347,362, 82) ( 81,302,706,700,119,236,170,766,524,659,197,571,339,642) (225,562,759,636,669,281,566,675,623,249,282,762,692,651) (226,758,776,664,645,561,563,619,641,305,286,678,679,231) (227,618,781,300,650,673,567)(230,674,763,244,646,757,580,647,617,585, 283,622,697,287) ] ], [ 7, 4572288, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PGammaL(2, 8) wreath Sym(2)", [ "L", [ 2, 8 ], 2 ], [ ( 1,305,672,689,530,317,402,270,704,227,145,349, 76,218,624,579,763,426) ( 2,501,671,465,516,177,406,606,721,535,155,377, 72, 50,627,131,780, 734)( 3,165,657, 73,526,625,411,774,706)( 4,249,649,353,524,205, 400,578,707,423,141,293, 84,694,642,327,766,258)( 5,361,664,213,512, 569,399,438,701,283,168,685, 82,330,626,271,760,230)( 6, 25,669,661, 521,513,401,410,718,703,143,153, 69, 78,638,635,775,762) ( 7,445,645,297,532,681,418,326,710,255,144,237, 61,358,636,215,764, 566)( 8,585,651,437,505,289,420,690,726,311,150,265, 60,246,621,355, 776,202)( 9,417,662,717,507,149,405, 74,722,619,159,769, 62, 22,641, 663,773,510)( 10,277,648,241,509,345,412,214,708,563,147,433, 57,302, 644,691,782,314)( 11,137,668,745,506,485,419,466,712,171,154,601, 77, 554,631,383,772, 34)( 12,193,658,605,525,541,407,382,716, 31,151,125, 80,750,618,495,783,454)( 13, 81,666,633,523,765,398, 18,725,647,157, 517, 65,414,634,719,759,146)( 14,613,665,549,519,373,408, 46,711,115, 164,741, 58,498,643,467,768,174)( 15,389,660, 45,515,121,416,746,702, 479,167,461, 68,190,630,607,777,538)( 16, 53,655,129,528,737,394,494, 727,451,152,181, 70,610,637,551,771,370)( 17,529,653,409,522,709,395, 158,713, 59,162,629, 75,778,622, 19,781,650)( 20,221,652,577,511,429, 393,298,728,675,166,321, 66,274,620,243,761,342)( 21,557,659,381,520, 37,403,130,724,731,142,489, 83,470,628,187,770,594)( 23,109,667,101, 527, 93,415,102,723, 87,163, 97, 79,106,639,103,779, 90) ( 24,753,646,493,531,457,404,186,714,591,161,545, 71,386,632, 47,767, 118)( 26,333,654,269,508,233,397,354,720,199,148,573, 63,442,617,299, 784,678)( 27,473,656,185,518,597,413,550,715,367,156, 41, 67,134,640, 747,758,482)( 28,697,670,325,514,261,396,242,705,339,160,209, 64,582, 623,439,757,286)( 29,291,140,696,754,310,486,279,452,236,173,350,608, 217,540,575,371,436)( 30,487,139,472,740,170,490,615,469,544,183,378, 604, 49,543,127,388,744)( 32,235,117,360,748,198,484,587,455,432,169, 294,616,693,558,323,374,268)( 33,347,132,220,736,562,483,447,449,292, 196,686,614,329,542,267,368,240)( 35,431,113,304,756,674,502,335,458, 264,172,238,593,357,552,211,372,576)( 36,571,119,444,729,282,504,699, 474,320,178,266,592,245,537,351,384,212)( 38,263,116,248,733,338,496, 223,456,572,175,434,589,301,560,687,390,324)( 39,123,136,752,730,478, 503,475,460,180,182,602,609,553,547,379,380, 44)( 40,179,126,612,749, 534,491,391,464)( 42,599,133,556,743,366,492, 55,459,124,192,742,590, 497,559,463,376,184)( 43,375,128, 52,739,114,500,755,450,488,195,462, 600,189,546,603,385,548)( 48,207,120,584,735,422,477,307,476,684,194, 322,598,273,536,239,369,352)( 51, 95,135,108,751, 86,499,111,471, 96, 191, 98,611,105,555, 99,387,100)( 54,319,122,276,732,226,481,363,468, 208,176,574,595,441,533,295,392,688)( 56,683,138,332,738,254,480,251, 453,348,188,210,596,581,539,435,365,296)( 85,303,112,695,110,331, 94, 275, 88,247, 89,359,104,219, 92,583, 91,443)(197,288,588,679,446,309, 290,280,676,250,313,346,272,200,232,565,343,440)(201,344,580,203,428, 561,287,448,673,306,336,682,278,312,234,257,340,244)(204,568,567,427, 421,281,308,700,698,334,318,262,256,228,229,341,356,216) (206,260,564,231,425,337,300,224,680,586,315,430,253,284,252,677,362, 328)(222,316,570,259,424,225,285,364,692), ( 1,426,189)( 2,438,177, 13,434,183)( 3,424,175, 10,432,188) ( 4,427,178, 12,440,171)( 5,444,193, 28,437,190)( 6,441,169) ( 7,430,180, 20,423,172)( 8,446,184, 23,447,179)( 9,433,182, 15, 422,186)( 11,428,194, 16,443,195)( 14,435,170, 18,429,181) ( 17,442,173, 24,445,196)( 19,439,187)( 21,421,174)( 22,425,192, 25, 448,185)( 26,436,191, 27,431,176)( 29,202,525,589,454,721) ( 30,214,513,601,462,715)( 31,200,511,598,460,720)( 32,203,514,600, 468,703)( 33,220,529,616,465,722)( 34,217,505,594,469,701) ( 35,206,516,608,451,704)( 36,222,520,611,475,711)( 37,209,518,603, 450,718)( 38,208,524,591,452,707)( 39,204,530,604,471,727) ( 40,216,507,592,455,710)( 41,210,519,590,466,709)( 42,211,506,606, 457,713)( 43,198,522,597,461,714)( 44,219,531,599,456,726) ( 45,218,509,612,473,728)( 46,205,517,602,463,702)( 47,215,523,607, 467,719)( 48,199,508,595,458,712)( 49,197,510,609,449,706) ( 50,201,528,613,476,717)( 51,223,515,596,474,716)( 52,221,532,605, 470,705)( 53,224,521,610,453,724)( 54,212,527,615,459,708) ( 55,207,512,614,464,723)( 56,213,526,593,472,725)( 57,286,413,141, 622,553)( 58,298,401,153,630,547)( 59,284,399,150,628,552) ( 60,287,402,152,636,535)( 61,304,417,168,633,554)( 62,301,393,146, 637,533)( 63,290,404,160,619,536)( 64,306,408,163,643,543) ( 65,293,406,155,618,550)( 66,292,412,143,620,539)( 67,288,418,156, 639,559)( 68,300,395,144,623,542)( 69,294,407,142,634,541) ( 70,295,394,158,625,545)( 71,282,410,149,629,546)( 72,303,419,151, 624,558)( 73,302,397,164,641,560)( 74,289,405,154,631,534) ( 75,299,411,159,635,551)( 76,283,396,147,626,544)( 77,281,398,161, 617,538)( 78,285,416,165,644,549)( 79,307,403,148,642,548) ( 80,305,420,157,638,537)( 81,308,409,162,621,556)( 82,296,415,167, 627,540)( 83,291,400,166,632,555)( 84,297,414,145,640,557) ( 85,566,777,645,314,357)( 86,578,765,657,322,351)( 87,564,763,654, 320,356)( 88,567,766,656,328,339)( 89,584,781,672,325,358) ( 90,581,757,650,329,337)( 91,570,768,664,311,340)( 92,586,772,667, 335,347)( 93,573,770,659,310,354)( 94,572,776,647,312,343) ( 95,568,782,660,331,363)( 96,580,759,648,315,346)( 97,574,771,646, 326,345)( 98,575,758,662,317,349)( 99,562,774,653,321,350) (100,583,783,655,316,362)(101,582,761,668,333,364)(102,569,769,658, 323,338)(103,579,775,663,327,355)(104,563,760,651,318,348) (105,561,762,665,309,342)(106,565,780,669,336,353)(107,587,767,652, 334,352)(108,585,784,661,330,341)(109,588,773,666,313,360) (110,576,779,671,319,344)(111,571,764,670,324,359)(112,577,778,649, 332,361)(113,118,133)(114,130,121,125,126,127)(115,116,119,122,124, 132)(117,136,137,140,129,134)(120,138,128,135,139,123) (225,734,385,477,678,273)(226,746,373,489,686,267)(227,732,371,486, 684,272)(228,735,374,488,692,255)(229,752,389,504,689,274) (230,749,365,482,693,253)(231,738,376,496,675,256)(232,754,380,499, 699,263)(233,741,378,491,674,270)(234,740,384,479,676,259) (235,736,390,492,695,279)(236,748,367,480,679,262)(237,742,379,478, 690,261)(238,743,366,494,681,265)(239,730,382,485,685,266) (240,751,391,487,680,278)(241,750,369,500,697,280)(242,737,377,490, 687,254)(243,747,383,495,691,271)(244,731,368,483,682,264) (245,729,370,497,673,258)(246,733,388,501,700,269)(247,755,375,484, 698,268)(248,753,392,493,694,257)(249,756,381,498,677,276) (250,744,387,503,683,260)(251,739,372,502,688,275)(252,745,386,481, 696,277) ] ], [ 8, 812851200, 0, "4c", [ [ 144, 1 ], [ 24, 1 ], [ 225, 1 ], [ 30, 1 ], [ 360, 1 ] ], 1, "Alt(8) wreath Sym(2)", [ "A", 8, 2 ], [ ( 1,709,347,743,136,210,415,693)( 2,317,341,491,114,322,397,497) ( 3,625,344,183,124,546,398,581)( 4,373,343,295,138, 42,419,469) ( 5,485,338,323,117,490,394,329)( 6,569,339,631,120,182,404,553) ( 7,289,362, 43,139,462,396,385)( 8,177,348,547,118,574,395,637) ( 9,345,351,127,126,406,413, 21)( 10, 65,349, 99,129,602,417,525) ( 11,737,360,211,135,686,393,721)( 12,541,342,575,115,630,400,189) ( 13, 93,353,603,137,518,402, 77)( 14,401,357, 15,121,350,407,133) ( 16,261,356,155,131,770,420,441)( 17,597,361,519,122, 70,405,105) ( 18,233,358,659,130,238,414,665)( 19,765,364,435,128,266,412,161) ( 20,149,355,771,140,434,408,273)( 22,653,354,239,134,658,410,245) ( 23,681,337,715,123,742,416,217)( 24,205,359,687,113,714,403,749) ( 25,513,346, 71,125, 98,409,609)( 26, 37,363,463,116,378,399,301) ( 27,457,340,379,119,294,418, 49)( 28,429,352,267,132,154,411,777) ( 29,727,459,732,388,203,303,698)( 30,335,453,480,366,315,285,502) ( 31,643,456,172,376,539,286,586)( 32,391,455,284,390, 35,307,474) ( 33,503,450,312,369,483,282,334)( 34,587,451,620,372,175,292,558) ( 36,195,460,536,370,567,283,642)( 38, 83,461, 88,381,595,305,530) ( 39,755,472,200,387,679,281,726)( 40,559,454,564,367,623,288,194) ( 41,111,465,592,389,511,290, 82)( 44,279,468,144,383,763,308,446) ( 45,615,473,508,374, 63,293,110)( 46,251,470,648,382,231,302,670) ( 47,783,476,424,380,259,300,166)( 48,167,467,760,392,427,296,278) ( 50,671,466,228,386,651,298,250)( 51,699,449,704,375,735,304,222) ( 52,223,471,676,365,707,291,754)( 53,531,458, 60,377, 91,297,614) ( 54, 55,475,452,368,371,287,306)( 56,447,464,256,384,147,299,782) ( 57,713, 95,745,612,221,527,682)( 58,321, 89,493,590,333,509,486) ( 59,629, 92,185,600,557,510,570)( 61,489, 86,325,593,501,506,318) ( 62,573, 87,633,596,193,516,542)( 64,181, 96,549,594,585,507,626) ( 66, 69, 97,101,605,613,529,514)( 67,741,108,213,611,697,505,710) ( 68,545, 90,577,591,641,512,178)( 72,265,104,157,607,781,532,430) ( 73,601,109,521,598, 81,517, 94)( 74,237,106,661,606,249,526,654) ( 75,769,112,437,604,277,524,150)( 76,153,103,773,616,445,520,262) ( 78,657,102,241,610,669,522,234)( 79,685, 85,717,599,753,528,206) ( 80,209,107,689,589,725,515,738)( 84,433,100,269,608,165,523,766) (141,719,767,756,444,212,275,692)(142,327,761,504,422,324,257,496) (143,635,764,196,432,548,258,580)(145,495,758,336,425,492,254,328) (146,579,759,644,428,184,264,552)(148,187,768,560,426,576,255,636) (151,747,780,224,443,688,253,720)(152,551,762,588,423,632,260,188) (156,271,776,168,439,772,280,440)(158,243,778,672,438,240,274,664) (159,775,784,448,436,268,272,160)(162,663,774,252,442,660,270,244) (163,691,757,728,431,744,276,216)(164,215,779,700,421,716,263,748) (169,712,543,734,584,199,639,680)(170,320,537,482,562,311,621,484) (171,628,540,174,572,535,622,568)(173,488,534,314,565,479,618,316) (176,180,544,538,566,563,619,624)(179,740,556,202,583,675,617,708) (186,236,554,650,578,227,638,652)(190,656,550,230,582,647,634,232) (191,684,533,706,571,731,640,204)(192,208,555,678,561,703,627,736) (197,723,683,729,724,207,751,696)(198,331,677,477,702,319,733,500) (201,499,674,309,705,487,730,332)(214,247,694,645,718,235,750,668) (218,667,690,225,722,655,746,248)(219,695,673,701,711,739,752,220) (226,330,649,494)(229,498,646,326)(242,246,666,662)(310,313,481,478), ( 1,578,692,549,473,497)( 2,326,679,297,470,777)( 3,382,677,521,467, 665)( 4,634,684,157,458,413)( 5,522,691,661,451,385) ( 6,718,683,269,457,357)( 7,298,694,773,450,329)( 8,130,686, 73, 472,217)( 9,354,678,717,459,273)( 10,410,676,633,460,161) ( 11,270,681,353,454,721)( 12,158,682,409,452,637)( 13,102,700,437, 471,245)( 14, 74,696,213,456,133)( 15,186,688,745,474, 49) ( 16,746,698, 45,463,189)( 17,466,693)( 18,690,689,465,469, 21) ( 19,662,675,381,453,525)( 20,550,697,493,449,581)( 22,774,674,325, 455,301)( 23,242,685,101,476,441)( 24,214,680,129,462, 77) ( 25,494,673,577,468,553)( 26, 46,687,185,464,749)( 27,606,699,605, 475,609)( 28,438,695,241,461,105)( 29,575,188,548,753,502) ( 30,323,175,296,750,782)( 31,379,173,520,747,670)( 32,631,180,156, 738,418)( 33,519,187,660,731,390)( 34,715,179,268,737,362) ( 35,295,190,772,730,334)( 36,127,182, 72,752,222)( 37,351,174,716, 739,278)( 38,407,172,632,740,166)( 39,267,177,352,734,726) ( 40,155,178,408,732,642)( 41, 99,196,436,751,250)( 42, 71,192,212, 736,138)( 43,183,184,744,754, 54)( 44,743,194)( 47,659,171,380,733, 530)( 48,547,193,492,729,586)( 50,771,170,324,735,306) ( 51,239,181,100,756,446)( 52,211,176,128,742, 82)( 53,491,169,576, 748,558)( 55,603,195,604,755,614)( 56,435,191,240,741,110) ( 57,584,216,540,137,490)( 58,332,203,288,134,770)( 59,388,201,512, 131,658)( 60,640,208,148,122,406)( 61,528,215,652,115,378) ( 62,724,207,260,121,350)( 63,304,218,764,114,322)( 64,136,210) ( 65,360,202,708,123,266)( 66,416,200,624,124,154)( 67,276,205,344, 118,714)( 68,164,206,400,116,630)( 69,108,224,428,135,238) ( 70, 80,220,204,120,126)( 75,668,199,372,117,518)( 76,556,221,484, 113,574)( 78,780,198,316,119,294)( 79,248,209, 92,140,434) ( 81,500,197,568,132,546)( 83,612,223,596,139,602)( 84,444,219,232, 125, 98)( 85,588,440,555,249,489)( 86,336,427,303,246,769) ( 87,392,425,527,243,657)( 88,644,432,163,234,405)( 89,532,439,667, 227,377)( 90,728,431,275,233,349)( 91,308,442,779,226,321) ( 93,364,426,723,235,265)( 94,420,424,639,236,153)( 95,280,429,359, 230,713)( 96,168,430,415,228,629)( 97,112,448,443,247,237) (103,672,423,387,229,517)(104,560,445,499,225,573)(106,784,422,331, 231,293)(107,252,433)(109,504,421,583,244,545)(111,616,447,611,251, 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34,506)( 36,366, 43,674, 56,226, 40,730, 45,170, 55, 702, 44,590, 47,450)( 39,758)( 57,482,524, 87,555,582,256,315,626, 445,357,153,220,397,294,670)( 59,538,526,255,539,638,277,343,629,221, 341,293,222, 61,286,530)( 60,314,514,423,553,162,276,399,630,669,337, 489,216, 89,303,586)( 62,510,507,535,554,274,259,623,641,361,349,209, 201,285,306, 82)( 63,622,529,339,545,218,257,287,642, 81,342,517,199, 537,302,278)( 64,370,519,675,560,246,264,735,633,193,363,713,212,593, 299,474)( 66,426,525,143,556,414,266,651,617,501,356, 97,219,565,284, 334)( 67,762,515,759,543,778,263,763,627,781,347,769,207,761,291,782) ( 68,734,521,171,559,722,268,595,635,473,344,377,211,677,308,250) ( 69,202,509,283,558, 78,258,511,619,557,358,265,203,621,305,362) ( 70,650,505,479,552,106,275,567,620,333,346,433,217,145,304,418) ( 71,678,532,227,544,750,269,175,643,725,352,601,215,453,288,390) ( 72,594,523,451,540,386,267,679,644,249,348,741,213,173,307,726) ( 73,174,531,703,548,610,271,455,624,389,351,685,224,229,292,754) ( 75,454,512,367,547,694,280,231,628,753,353,181,223,705,296,614) ( 76, 90,527,563,536,330,262,427,637,165,360,405,210,649,281,502) ( 77,146,528,395,546,666,253,483,636,109,359,573,200,313,290,446) ( 79,566,508,311,542,442,273,147,640,417,350,657,197,481,300,110) ( 80,398,518,647,533,498,272, 91,639,585,340,321,206,425,301,166) ( 83,706,520,591,551,470,260,371,631,697,364,237,208,733,297,194) ( 84,230,516,731,549,190,279,707,632,613,355,461,204,369,295,698) ( 85,499,580, 88,331,570,424,329,150,444,413,154,668,393,490,664) ( 92,387,575,676,336,234,432,749,157,192,419,714,660,589,495,468) ( 94,443,581,144,332,402,434,665,141,500,412, 98,667,561,480,328) ( 95,779,571,760,319,766,431,777,151,780,403,770,655,757,487,776) ( 96,751,577,172,335,710,436,609,159,472,400,378,659,673,504,244) ( 99,695,588,228,320,738,437,189,167,724,408,602,663,449,484,384) (100,611,579,452,316,374,435,693,168,248,404,742,661,169,503,720) (101,191,587,704,324,598,439,469,148,388,407,686,672,225,488,748) (103,471,568,368,323,682,448,245,152,752,409,182,671,701,492,608) (104,107,583,564,312,318,430,441,161,164,416,406,658,645,477,496) (105,163,584,396,322,654,421,497,160,108,415,574,648,309,486,440) (111,723,576,592,327,458,428,385,155,696,420,238,656,729,493,188) (112,247,572,732,325,178,447,721,156,612,411,462,652,365,491,692) (176,391,715,688,616,243,460,736,381,183,699,728,240,600,747,465) (179,783,711,772,599,775,459,764,375,771,683,784,235,768,739,773) (180,755,717,184,615,719,464,596,383,463,680,392,239,684,756,241) (185,195,727,716,604,607,467,456,372,379,687,700,252,236,740,745) (187,475,708,380,603,691,476,232,376,743,689,196,251,712,744,605), ( 1,779,614,465, 59,149,188, 5,767,604,450, 63,141,191, 26,773,591, 457, 76,145,179, 16,758,595,449, 79,166,185, 3,765,608,453, 67,156, 170, 7,757,611,474, 73,143,177, 20,761,599,464, 58,147,169, 23,782, 605,451, 65,160,173, 11,772,590,455, 57,163,194, 17,759,597,468, 61, 151,184, 2,763,589,471, 82,157,171, 9,776,593,459, 72,142,175) ( 4,778,607,466, 80,168,195, 14,762,601,463, 64,144,190, 19,774,612, 476, 83,154,174, 13,771,596,452, 78,159,186, 24,784,615,462, 62,153, 183, 8,760,610,467, 74,164,196, 27,770,594,461, 71,148,172, 22,775, 606,472, 84,167,182, 6,769,603,456, 60,162,187, 18,780,616,475, 70, 146,181, 15,764,592,470, 75,158,192, 28,783,602,454, 69,155,176) ( 10,777,613,458, 77,165,178, 21,781,598,469, 81,150,189, 25,766,609, 473, 66,161,193)( 12,768,600,460, 68,152,180)( 29,359,558,269,563, 205,496, 33,347,548,254,567,197,499, 54,353,535,261,580,201,487, 44, 338,539,253,583,222,493, 31,345,552,257,571,212,478, 35,337,555,278, 577,199,485, 48,341,543,268,562,203,477, 51,362,549,255,569,216,481, 39,352,534,259,561,219,502, 45,339,541,272,565,207,492, 30,343,533, 275,586,213,479, 37,356,537,263,576,198,483)( 32,358,551,270,584,224, 503, 42,342,545,267,568,200,498, 47,354,556,280,587,210,482, 41,351, 540,256,582,215,494, 52,364,559,266,566,209,491, 36,340,554,271,578, 220,504, 55,350,538,265,575,204,480, 50,355,550,276,588,223,490, 34, 349,547,260,564,218,495, 46,360,560,279,574,202,489, 43,344,536,274, 579,214,500, 56,363,546,258,573,211,484)( 38,357,557,262,581,221,486, 49,361,542,273,585,206,497, 53,346,553,277,570,217,501) ( 40,348,544,264,572,208,488)( 85,751,446,661,619,709,524, 89,739,436, 646,623,701,527,110,745,423,653,636,705,515,100,730,427,645,639,726, 521, 87,737,440,649,627,716,506, 91,729,443,670,633,703,513,104,733, 431,660,618,707,505,107,754,437,647,625,720,509, 95,744,422,651,617, 723,530,101,731,429,664,621,711,520, 86,735,421,667,642,717,507, 93, 748,425,655,632,702,511)( 88,750,439,662,640,728,531, 98,734,433,659, 624,704,526,103,746,444,672,643,714,510, 97,743,428,648,638,719,522, 108,756,447,658,622,713,519, 92,732,442,663,634,724,532,111,742,426, 657,631,708,508,106,747,438,668,644,727,518, 90,741,435,652,620,722, 523,102,752,448,671,630,706,517, 99,736,424,666,635,718,528,112,755, 434,650,629,715,512)( 94,749,445,654,637,725,514,105,753,430,665,641, 710,525,109,738,441,669,626,721,529)( 96,740,432,656,628,712,516) (113,331,306,381,227,401,692,117,319,296,366,231,393,695,138,325,283, 373,244,397,683,128,310,287,365,247,418,689,115,317,300,369,235,408, 674,119,309,303,390,241,395,681,132,313,291,380,226,399,673,135,334, 297,367,233,412,677,123,324,282,371,225,415,698,129,311,289,384,229, 403,688,114,315,281,387,250,409,675,121,328,285,375,240,394,679) (116,330,299,382,248,420,699,126,314,293,379,232,396,694,131,326,304, 392,251,406,678,125,323,288,368,246,411,690,136,336,307,378,230,405, 687,120,312,302,383,242,416,700,139,322,286,377,239,400,676,134,327, 298,388,252,419,686,118,321,295,372,228,414,691,130,332,308,391,238, 398,685,127,316,284,386,243,410,696,140,335,294,370,237,407,680) (122,329,305,374,245,417,682,133,333,290,385,249,402,693,137,318,301, 389,234,413,697)(124,320,292,376,236,404,684) ] ], [ 16, 4213820620800, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PSp(6, 2) wreath Sym(2)", [ "B", [ 3, 2 ], 2 ], [ ( 1,280,506, 64,246, 12,279,510, 73,247, 24,277,505, 84,226, 8,274,516, 83,230, 17,275,528, 81,225, 28,254,512, 78,236, 27,258,521, 79,248, 25,253,532, 58,232, 22,264,531, 62,241, 23,276,529, 57,252, 2,260, 526, 68,251, 6,269,527, 80,249)( 3,270,511, 71,227, 18,259,519, 59, 242, 7,267,507, 74,231, 15,255,522, 63,239)( 4,268,509, 76,238, 26, 256,520, 61,244, 14,278,508, 72,229, 20,266,530, 60,240, 5,272,518, 82,228, 16,257,524, 70,250)( 9,261,513, 65,233)( 10,265,515, 77, 234, 13,263,525, 66,237, 11,273,514, 69,235, 21,262,517, 67,245) ( 19,271,523, 75,243)( 29,308,422,680,582,656,783,398,157,611,220,333, 533,756,450, 36,302,432,699,566,661,779,416,165,589,224,310,540,750, 460, 55,286,437,695,584,669,757,420,142,596,218,320,559,734,465, 51, 304,445,673,588,646,764,414,152,615,202,325,555,752,473) ( 30,288,442,684,587,650,773,415,164,613,197,336,534,736,470, 40,307, 426,689,583,668,781,393,168,590,204,330,544,755,454, 45,303,444,697, 561,672,758,400,162,600,223,314,549,751,472, 53,281,448,674,568,666, 768,419,146,605,219,332,557,729,476)( 31,298,427,687,563,662,763,407, 143,606,203,323,535,746,455, 43,283,438,679,575,647,774,399,155,591, 214,315,547,731,466, 35,295,423,690,567,659,759,410,147,603,199,326, 539,743,451, 46,287,435,675,578,651,771,395,158,595,211,311,550,735, 463)( 32,296,425,692,574,670,760,408,145,608,210,334,536,744,453, 48, 294,446,676,576,649,776,406,166,592,212,313,552,742,474) ( 33,300,434,698,564,660,761,412,154,614,200,324,537,748,462, 54,284, 436,677,580,658,782,396,156,593,216,322,558,732,464)( 34,297,443,696, 585,645,784,394,148,610,208,335,538,745,471, 52,305,421,700,562,652, 778,404,167,594,213,331,556,753,449, 56,282,428,694,572,671,762,409, 163,612,221,309,560,730,456, 50,292,447,678,577,667,780,417,141,616, 198,316,554,740,475)( 37,289,429,681,569,653,765,401,149,597,205,317, 541,737,457)( 38,293,431,693,570,657,767,413,150,601,207,329,542,741, 459, 49,290,433,683,581,654,769,403,161,598,209,319,553,738,461, 39, 301,430,685,571,665,766,405,151,609,206,321,543,749,458, 41,291,441, 682,573,655,777,402,153,599,217,318,545,739,469)( 42,306,424,688,565, 664,770,418,144,604,201,328,546,754,452, 44,285,440,686,586,648,772, 397,160,602,222,312,548,733,468)( 47,299,439,691,579,663,775,411,159, 607,215,327,551,747,467)( 85,504,366, 92,498,376,111,482,381,107,500, 389)( 86,484,386, 96,503,370,101,499,388,109,477,392) ( 87,494,371, 99,479,382, 91,491,367,102,483,379)( 88,492,369,104,490, 390)( 89,496,378,110,480,380)( 90,493,387,108,501,365,112,478,372, 106,488,391)( 93,485,373)( 94,489,375,105,486,377, 95,497,374, 97, 487,385)( 98,502,368,100,481,384)(103,495,383)(113,728,338,176,638, 124,727,342,185,639,136,725,337,196,618,120,722,348,195,622,129,723, 360,193,617,140,702,344,190,628,139,706,353,191,640,137,701,364,170, 624,134,712,363,174,633,135,724,361,169,644,114,708,358,180,643,118, 717,359,192,641)(115,718,343,183,619,130,707,351,171,634,119,715,339, 186,623,127,703,354,175,631)(116,716,341,188,630,138,704,352,173,636, 126,726,340,184,621,132,714,362,172,632,117,720,350,194,620,128,705, 356,182,642)(121,709,345,177,625)(122,713,347,189,626,125,711,357, 178,629,123,721,346,181,627,133,710,349,179,637)(131,719,355,187,635) , ( 1,715,377,314,695,753, 18,239,365,706,685,333, 23,743,382,230, 673,725, 13,323,387,734,690,249)( 2, 99,381,538,699,137, 28,575,388, 62,681,305, 16,211,376,650,698,165, 22,183,384,454,675,529) ( 3,519,366, 90,689,557, 27,127,392,566,696, 81, 9,295,380,202,684, 669, 26,155,386,174,692,473)( 4,267,378,762,682,417) ( 5,631,372,594,677,641, 8,603,369,622,680,613)( 6,687,389) ( 7,435,385,342,683,501, 19, 43,371,426,693,361, 11,491,383, 34,679, 445, 21,351,375,482,691, 53)( 10,407,368,258,686,781) ( 12,659,390,146,694,193, 20,463,367,510,674,109, 17,547,391,118,700, 585, 24, 71,373,286,688,221)( 14,771,374,398,676,277) ( 15,379,370,678,697, 25)( 29,707,433,329,359,739,494,243) ( 30, 91,437,553,363,123,504,579, 52, 63,429,301,352,207,488,663, 54, 147,442,189,356,459,479,523)( 31,511,422,105,353,543,503,131, 56,567, 444, 77,345,291,492,215, 40,651,446,161,358,179,496,467) ( 32,259,434,777,346,403,480,271, 42,763,430,413,340,263,490,775, 38, 399,424,273,350,767,486,411)( 33,623,428,609,341,627,484,607) ( 35,427,441,357,347,487,495, 47)( 36,595,425,637,344,599,481,635) ( 37,287,436,217,348,655,502,159, 50,175,440,469,339,515,478,103, 45, 539,447,133,364,571,500, 75)( 39,483,439, 49,343,431,497,355) ( 41,315,443,749,354,235,477,719)( 44,203,432,665,362,151,498,187, 48, 455,423,525,338, 95,493,551, 55,119,448,581,360, 67,485,299) ( 46,231,421,721,349,319,499,747)( 51,735,438,245,337,711,489,327) ( 57,709,293,324,219,740,662,250,141,722,181,328,471,731,522,226, 85, 717,545,335,135,756,578,248)( 58, 93,297,548,223,124,672,586,164, 78, 177,300,464,199,516,646,110,157,554,195,132,476,563,528) ( 59,513,282,100,213,544,671,138,168,582,192, 76,457,283,520,198, 96, 661,558,167,134,196,580,472)( 60,261,294,772,206,404,648,278,154,778, 178,412,452,255,518,758, 94,409,536,279,126,784,570,416) ( 61,625,288,604,201,628,652,614,145,638,176,608,453,619,512,590, 89, 633,540,615,117,644,568,612)( 64,597,285,632,204,600,649,642,148,610, 173,636,456,591,509,618, 92,605,537,643,120,616,565,640) ( 65,289,296,212,208,656,670,166,162,190,188,468,451,507,506, 86,101, 549,559,139,140,588,584, 80)( 66,401,284,268,210,768,654,418,144,274, 182,776,458,395,508,254, 98,773,542,419,116,280,574,780) ( 68,653,306,156,218,180,664,474,143,526,170,104,465,535,531,114,112, 577,556, 83,121,308,576,220)( 69,317,303,744,214,236,645,726,153,330, 191,748,466,227,505,702, 97,325,555,755,130,252,561,724) ( 70,765,290,408,200,264,658,782,150,414,172,272,462,759,514,394, 88, 269,546,783,122,420,564,276)( 72,205,292,660,222,152,666,194,160,470, 171,524,450, 87,521,534,111,129,560,587,136, 84,569,304) ( 73,541,307,128,224,572,668, 82,149,302,184,216,460,647,530,142,106, 185,552,475,115,532,562,108)( 74,233,281,716,209,320,667,754,158,246, 169,720,461,311,527,730,102,241,533,727,125,336,583,752) ( 79,737,298,240,197,712,657,334,163,750,186,244,449,703,517,310,107, 745,550,251,113,728,573,332)(225,701,713,321,331,751,746,242) (228,253,714,769,318,415,732,270,238,757,710,405,312,275,742,774,234, 393,704,265,322,779,738,410)(229,617,708,601,313,639,736,606) (232,589,705,629,316,611,733,634)(237,309,723,741,326,247,729,718) (256,266,770,766,402,396)(257,630,764,598,397,620,260,602,761,626,400, 592)(262,406,760)(593,621,624,596) ] ], [ 17, 46478451340035594117247487634202747771193131008000000000000, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "Alt(28) wreath Sym(2)", [ "A", 28, 2 ], [ ( 1,783,677, 2,671,676,338,655,256,348,179,267,600,182,323,614,154,311, 474,156,479,455,632,477,763,621)( 3,475,688,478,651,620,337,767,257, 12,195,687,590,658,312,362,151,255,460,184,491,595,630,309,782,145) ( 4,363,683,254,656,172,351,599,266,320,194,155,591,462,324,502,147, 619,449,772,481, 7,643,673,758,649)( 5, 27,699,674,646,648,340,347, 263,264,180,183,603,602,322,334,166,143,451,464,492,483,623,617,757, 761)( 6, 83,696,394,663,116,361,291,274, 96,191,715,596,378,326,530, 153,199,465,436,497,231,636,533,765,733, 28,587,682, 30,650, 60,360, 403,271,124,193,295,610, 98,331,726,148,367,466,520,489,203,633,421, 777,229, 20,559,681,730,672,564,346, 39,258, 68,192,407,607,126,333, 306,162, 87,471,716,484,371,634,505,769,201, 17,447,693,226,664,536, 345,739,280,572,178, 43,594, 70,332,418,159,115,473,296,498, 91,639, 701,764,369, 18,531,685,198,661,424,357,235,272,544,177,743,616,574, 318, 54,146, 59,472,408,495,119,641,281,778, 89, 23,727,680,366,662, 508,349,207,269,432,189,239,608,546,317,754,168,563,458, 44,482, 63, 640,393,775,117, 25,307,694, 86,667,704,344,375,270,516,181,211,605, 434,329,250,160,535,457,744,504,567,626, 29,762, 61, 24,419,691,114, 669,284,358, 95,275,712,176,379,606,518,321,222,157,423,469,240,496, 539,625,729,784,565, 10, 55,678, 58,668,396,355,123,277,292,190, 99, 611,714,316,390,158,507,461,212,493,427,637,225,776,537, 9,755,700, 562,654, 32,342, 67,276,404,187,127,613,294,330,110,163,703,456,380, 494,511,629,197,773,425, 21,251,692,534,653,732,364,571,262, 40,174, 71,612,406,327,138,165,283,470,100,499,707,624,365,774,509, 13,223, 689,422,665,228,356,543,261,740,196,575,598, 42,314, 82,164,395,467, 128,501,287,638, 85,779,705, 8,391,690,506,657,200,353,431,273,236, 188,547,597,742,336,586,150, 31,454, 72,500,399,635,113,781,285, 22, 111,695,702,652,368,354,515,265,208,185,435,609,238,328,558,149,731, 476,576,486, 35,622, 57,780,397, 19,139,697,282,666, 88,359,711,260, 376,186,519,601,210,325,446,161,227,468,548,485,735,644,561,766, 33) ( 11,279,684,170,659,592,350,319,278,152,171,463,604,490,315,642,141, 759,453, 16,503,679,618,645,760,341)( 14,335,698,142,647,452,352,487, 259,628,169,771,593)( 15,615,686,310,670,144,339,459,268,488,175,631, 589,770,313, 26,167,675,450,660,480,343,627,253,768,173) ( 34, 62, 80,416,411,131,137,305,302,106,107,723,708,372,382,522,517, 209,213,437,441,245,244,552,541,737,756,588,570, 38)( 36,370, 74,528, 405,215,129,445,301,246,104,555,709,736,392,578,514, 41,202, 73,444, 413,243,132,557,289,750,112,583,710)( 37,734, 84,584,402, 47,118, 81, 304,414,103,135,725,288,386,102,527,713,204,381,438,525,237,216,549, 429,749,252,580,542)( 45,426, 77,248,412,551,121,753,308,582, 94, 51, 706, 64,388,410,523,125,221,297,442,105,247,720,540,373,746,532,573, 206)( 46,510, 69,220,409,439,133,249,300,554, 93,751,728,568,374) ( 48,538, 65,752,420,579,122, 53,286, 78,108,415,719,120,389,298,526, 97,219,717,428,385,242,524,545,205,745,448,581,234)( 49,230, 76,556, 401,747,140,585,290, 50, 90, 79,724,400,383,130,529,293,218,101,443, 721,232,384,550,513,741,224,577,430)( 52,398, 75,136,417,299,134,109, 303,722, 92,387,718,512,377,214,521,433,217,241,440,553,233,748,560, 569,738, 56,566, 66), ( 1, 55,482, 63,640,701, 36,370, 74,220,717,120,390,746,221,269,124, 194,743,473,268,404,187,519,461,352,403,299,526,153,339,767,285, 22, 167,479,763,621)( 2,447,497, 91,639,533, 37,594, 70,332,728,568,374, 690,198,437,133,110,751,557,261,600,182,323,476,576,402,691,506,433, 357, 95,303,554,149,591,770,313, 28,587,486,679,618,421, 49, 90, 79, 556,709,596,378,326,224,577,122,698,730,445,273, 96,191,547,457,604, 406,327,532,573,346,683,282,442,161, 87,779,537, 9,615,490,315,644, 561, 38,678, 58,444,721, 92,387,550,205,605,126,334,756,585,262,684, 170,435,469,100,415,551,513,601,350,319,308,582,150,675,758,425, 21, 111,499,539,625,589, 42,314, 84,584,710,680,366,438,217,101,135,558, 737,613,266,320,196,575,458,688,394,439,525, 97,359,543,289,610,154, 311,784,565, 10,699,478,427,637, 85, 51,538, 65,612,714,316,392,578, 206,689,114,446,749,109,275,544,177,603,462,324,420,579,514,685,338, 431,301,106,163,535,765,593, 14,335,504,567,626,673, 30,426, 77,108, 723,540,373,606,210,325,140,586,738,697,254,432,189, 99,471,548,401, 607,518,321,364,571,290,694,142,423,777, 89, 23,559,485,595,630,309, 56,566, 66,696,702,428,385,102,219,549,121,614,742,333,280,572,178, 687,450,436,413,103,527,545,345,599,294,330,168,563,766,677) ( 3,783,481, 7,643,477, 35,622, 57, 52,706, 64,388,718,204,381,130, 222,745,137,278,740,193,267,460,184,407,467,520,405,355,515,293,358, 151,283,778,145)( 4,671,480,651,620,645, 32,650, 60,668,704,652,368, 662,200,661,116,670,732,669,256,656,172,659,452,660,396,663,508,657, 340,655,284,666,144,647,760,649)( 5, 27,503,483,623,617, 29, 34, 62, 80,724,708,372,382,214,213,129,138,754,753,277,264,180,183,463,464, 408,411,523,517,349,347,291,302,162,143,759,761)( 6, 83,500,707,624, 365, 46,202, 73,136,726,736,389,270,208,185,127,474,744,417,271,516, 181,351,459,296,414,159,507,769,341, 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528,713,344,375,298,218,157,115,782,733)( 86,443,553, 93,611,546,317, 616,574,318,700,562,430,693)( 88,667,536,653,592,658,312,672,564,654, 676,646,424,665)( 94,695,534,429,609, 98,331,560,569,598,686,310,448, 581)(104,247,552,233,608,238,328,252,580,234,692,226,440,245) (105,107,555,541,597,602,322,336,588,570,682,674,422,441) (112,583,542,681,590,434,329)(228,664) ] ], [ 18, 92956902680071188234494975268405495542386262016000000000000, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "Alt(28)^2.2^2", [ "A", 28, 2 ], [ ( 1,766,608,508, 92,576,115,553,180, 22,430,590,200,102,632,137,665,175, 470,443,674,224,158,635,305,657,483,454,247,696, 84,157,355,295, 41, 490,706,235,388, 65,269,341,743, 54,322,701,767,384,513,260,565,731, 558,320)( 2,206,606,620,109,660,119,469,191,694,448,142,215,298,629, 501,650,231,472, 79,689,364,155, 47,294,713,487,370,233,276, 61,745, 362,323, 29,770,720,515,372,569,255,537,740, 26,318,589,760,104,520, 120,581,171,554,432)( 3,542,600, 4, 94,604,116,105,184,134,441,170, 218,438,618,221,662,623,473,667,679,476,163,691,308,153,495,286,237, 500, 62,241,360, 71, 45,350,715, 39,378,709,263,369,737,278,313,729, 782,328,505,764,580,507,540,572)( 5,738,614,312, 85,772,132,525,176, 582,423,534,208, 18,626,613,648, 91,464,135,693,196,162,439,282,209, 494,622,249,668, 63,465,359,687, 56,154,719,291,377,485,258,229,752, 82,325,337,771, 48,518,708,571,367,541,264)( 6,234,612, 60,101,352, 127, 49,182,722,431,366,205,270,621,753,670,315,449,779,692,532,148, 579,283,545,488)( 7,458,611,676,112,156,131,301,181,498,426,226,220, 74,633,361,659, 35,462,723,683,392,149,271,285,741,502,314,225,780, 76,521,344,575, 31,546,712, 11,374,597,256, 89,744,138,329,169,778, 440,506,204,578,619,557,656)( 8,570,591,536, 96, 16,122,609,172,106, 436,114,217,186,638,445,646,203,466,639,697,672,147,467,303,685,504, 146,243,304, 69,493,342,239, 52, 70,717,347,379, 37,266,705,739,390, 317,253,761,748,530,316,561,759,552,516)( 9,262,593,732,110,324,113, 777,188,526,428,562,199,550,628, 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39,317,153,755,469,298,225,633,566,771,406,374, 212,364,194,552)( 41,737,161,307,449,634,230,773,574,379,408,346,222, 560,179,328)( 42,373,156,363,474,550,235,325,573,743,413,290,197,644, 174,776)( 43,401,150,223,476,186,244, 45,569,155,419,458,214,252,185, 580)( 44,345,166,559,459,326,237,745,581,295,393,626,202,784,182,384) ( 49,289,141,643,454,774,238,381,576,351,418,542,207,336,181,748) ( 50,429,162,447,470,438,246,437,582,435,414,430,218,448,190,440) ( 51,653,163,671,471,662,247,661,583,659,415,654,219,672,191,664) ( 54,541,151,335,461,746,245,297,561,631,398,766,210,392,184,356) ( 55,457,158,251,465,578,239,409,570,211,420,178,216, 56,177,160) ( 57,620, 62,760, 70,368, 72,340, 82,536, 67,312, 69,732, 77,284) ( 59,704, 63,480)( 78,424)( 79,648)(281,617,622,762,770,378,380,352, 362,558,543,319,321,741,749,301)(283,701,623,482,759,714,371,492,339, 726,539,487,311,713,735,497)(286,757,630,370,772,350,390,548,347,334, 545,739,329,293,729,637)(287,477,619,706,763,490,367,716,343,502,535, 711,315,489,731,721)(291,309,629,734,777,294,365,632,342,782,546,375, 324,349,754,553)(296,337,642,538,767,322,377,744,357,306,533,627,314, 769,742,385)(302,421,638,426,778,434,386,436,358,446,554,431,330,433, 750,441)(303,645,639,650,779,658,387,660,359,670,555,655,331,657,751, 665)(423,722,427,498)(443,666)(479,703,707,483)(499,647,723,651), ( 1,641,594,767,321,740,275,664, 50,428,698,537,122,223,472,101,567, 490,367,715,396, 65,161,308,169,635,510,758, 13,753,611,655,330,432, 278,552, 38,204,696, 89,119,503,451,717,564, 70,385,295,393,625,146, 784,181,747,527,646, 22,445,614,543,318,208,276,104, 35,484,675,705, 116, 83,469,297,561,630,370,771,405,737,163,672,190,439,530,534, 10, 221,612, 95,315,488,255,720, 32, 64,693,285,113,643,454,773,573,742, 387,659,414,429,166,560,178,215,528, 86, 7,501,591,711,312, 68,273, 300, 29,624,678,761,125,755,471,661,582,434,390,547,402,205,164,112, 175,495,507,702, 4, 81,609,291,309,628,258,776, 41,736,695,649,134, 447,474,549,570,210,388, 99,399,485,143,728,172, 75,525,282) ( 2, 25,613,599,319,320,264,272, 48, 36,680,677,117,139,475,465,577, 574,378,379,407,401,149,168,196,187,523,506)( 3,725,592, 67,329,292, 253,636, 34,764,685,733,135,671,470,437,586,546,374,211,416, 93,147, 504,171,719,508, 58, 21,305,589,627,314,768,265,748, 51,652,694,425, 138,559,458,213,584, 98,371,491,395,709,144, 84,189,299,505,618, 6, 781,601,739,331,656,274,440, 54,540,682,201,136,111,455,493,563,714, 368, 71,413,289,141,644,174,775,517,730, 23,669,610,431,334,544,262, 216, 52, 92,679,481,115,727,452, 73,581,294,365,631,398,765,153,756, 191,663,526,422, 26,557,598,207,332, 96,259,496, 31,708,676, 61,133, 307,449,633,566,770,377,743,415,653,162,448,194,551,514,198, 24,109, 595,487,311,712,256, 76, 49,288,673,621,118,783,461,745,583,658,386, 435,418,541,150,224,192,103,511,478)( 5,137,615,459,325,572,266,384, 43,400,681,145,140,195,467,521,562, 14,389,603,403,317,152,280,188, 47,512,674)( 8,697,593,123,335,460,269,580, 42,372,687,397,121,167, 476,185,579,518,366, 15,417,597,151,336,180,271,524, 30) ( 9,165,616,179,327,516,254, 20, 53,596,683,313,124,279,468, 45,568, 686,369,127,419,457,157,588,182,383,519,394)( 11,333,600,263,328, 40, 260,692, 33,120,699,453,129,587,462,381,575,406,373,155,420,177,159, 532,170, 19,529,590)( 12,277,608, 39,316,684,257,132, 55,456,689,565, 126,391,463,409,569,154,392,183,411,513,142, 28,193,607,515,310) ( 16,361,606,235,324,348,270,244, 44,344,690,229,128,363,466,241,576, 350,382,239,408,345,158,252,184,355,522,226)( 17,585,602,375,323,404, 261,160, 56,176,691,509,114, 27,473,605,571,322,376,267,412, 37,148, 700,173,131,531,450)( 18,249,604,347,326,236,268,356, 46,232,688,341, 130,251,464,353,578,238,380,351,410,233,156,364,186,243,520,338) ( 57,637,286,757,629,734,779,657,750,443,670,554,430,222,556, 94,203, 500, 87,707,480, 59,721,284)( 60, 77,301,281,617,622,762,769,741,751, 667,666,442,446,558,542,206,220,108, 91,483,479,703,704) ( 62,777,293,729,639,650,778,433,754,555,654,218,444,110,539,486,199, 724, 88, 63,497,283,701,620)( 66,217,304, 85,623,482,759,713,732, 79, 665,302,421,642,538,766,209,752,107,651,498,423,726,536) ( 69,749,303,645,638,426,782,545,738,219,668,106,427,502,535,710,200, 80,105,287,477,619,706,760)( 72,357,298,225,632,342,774,237,744,359, 662,246,436,362,550,234,212,360,102,231,492,339,718,228) ( 74,245,296,337,634,230,772,349,746,247,660,358,438,250,548,346,214, 248,100,343,494,227,716,340)( 78,441,306,533,626,202,780, 97,735,499, 647,722,424, 82,553,290,197,640, 90,763,489,731,723,648) (240,352,354,242) ] ], [ 20, 185913805360142376468989950536810991084772524032000000000000, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "Sym(28) wreath Sym(2)", [ "A", 28, 2 ], [ ( 1,719,544,580,145,655,388,353,681,107,186,250,420,473,204,759,743,626, 324,508,254,139,594, 41,421,714, 68,582,481,665,304,343, 9,103,550, 244,168,459,372,773,687,639,184,530,394,137,202, 31,729,710,320,564, 257,671,612,349,429, 98, 74,246,504,469,288,763, 15,635,548,524,142, 123,370, 45,673,723,180,586,397,669,220,339,737, 94,326,228,280,475, 596,769,435,630, 72,526,478,133,286, 35)( 2,131,538, 48,141,711,376, 577,677,667,192,362,401,109,214,227,756,458,316,760,267,643,604,517, 422,126, 62, 50,477,721,292,567, 5,663,556,356,149, 95,382,241,700, 471,176,782,407,641,212,507,730,122,314, 32,253,727,600,573,425,658, 80,358,485,105,298,231, 28,467,540,776,155,627,380,521,674,135,174, 54,393,725,208,563,733,654,332,340,261,111,606,237,448,462, 64,778, 491,637,296,511)( 3,747,542,328,144,263,391,605,685,443,182, 82,414, 501,217,283,735, 10,327,536,272,167,599,377,437,686, 79,190,502,413, 305,203)( 4,271,559,608,153,431,378, 73,694,499,189,306,399, 25,215, 535,748,150,319,368,269,699,611,181,446,406, 81,218,479,749,290,315) ( 6, 47,533,720,152,571,369,661,696,359,177,110,410,249,224,451,736, 766,323,620,268,531,590,125,426, 42, 57,722,488,581,285,651, 24,355, 541,104,158,235,392,465,680,779,183,642,408,529,198,115,734, 38,309, 704,264,587,593,657,444,350, 65,106,494,245,308,455, 8,775,547,636, 156,515,366,129,678, 51,169,726,404,585,201,647,752,346,317, 88,270, 251,616,461,428,770, 71,638,492,525,282,119)( 7, 19,551,552,160,151, 375,381,689,695,191,194,418,417,221,199,731,738,318,312,256,279,615, 601,433,434, 70, 78,498,497,301,287)( 11,383,549,692,163,179,390,409, 697,219,171,754,402,333,200,255,755,598,321,424,266, 83,610,489,441, 294, 63, 22,495,553,300,147)( 12,579,537,664,164,347,373,101,690,247, 196,474,400,781,211,619,744,514,310,116,258, 55,589,713,432,574, 61, 666,500,357,289, 91, 18,243,560,468,148,767,379,633,688,527,170,138, 398, 53,197,703,740,570,313,648,276,363,597, 97,438,238, 84,470,484, 777,295,623, 16,523,534,132,146, 39,365,717,684,583,173,670,416,361, 205, 87,746,234,336,452,260,783,603,629,436,518, 58,134,482, 49,281, 707)( 13,439,546, 76,162,487,385,297,679, 23,187,558,412,165,207,367, 745,682,331,172,278,419,613,209,423,742, 66,330,480,273,307,595) ( 14, 75,554,496,161,291,371, 17,691,555,188,166,403,389,213,675,751, 178,334,396,277,223,591,741,430,322, 60,274,503,609,293,427) ( 20,159,543,384,157,683,387,185,698,415,193,222,395,753,206,311,732, 262,335,592,265,447,602, 69,442,490, 77,302,483, 21,299,539) ( 26,411,557,216,143,739,374,325,676,275,195,614,405,445,210, 59,750, 486,329,284,259, 27,607,545,440,154, 67,386,493,693,303,175) ( 29,701,712,572,565,649,668,360,345, 93,102,242,252,476,456,764,771, 631,632,520,506,114,118, 34)( 30,113,706, 40,561,705,656,584,341,653, 108,354,233,112,466,232,784,463,624,772,519,618,128,510) ( 33,645,724,348,569, 89,662,248,364,457, 92,774,239,644,464,512,758, 127,622, 44,505,702,124,566)( 36,757,715,628,576,509,646,136,342, 37, 85,718,236,588,453,652,780,351,625,100,522,226,140,454) ( 43,617,716,516,562,117,650, 52,337,709, 96,578,229,672,472,344,765, 99,634,240,532,450,120,762)( 46,225,728,460,568,761,659,640,352,513, 86,130,230, 56,449,708,768,575,621,660,528,338,121, 90), ( 1,720,153,432,575,621,661,697,220,340,262,336,449,709, 97,439,547, 637,297,680,752,347,374,326,225,706,769,436,519,619, 45,674,136,343, 10,328,141,712,573,425,659,641,213,676,276,364,458,317, 85,719,545, 441,295,624,745,683,388,354,234,314,757,716,517,423, 43,618,129,679, 24,356,150,320,561,705,657,445,211,620,269,700,472,345, 94,327,533, 721,293,428,743,627,381,690,248,342,766,324,505,703, 41,422,127,623, 17,692,164,348,570,313,645,725,209,424,267,644,465,681,108,355,542, 329,281,708,741,431,379,634,241,678,780,352,514,311, 29,702,125,427, 15,636,157,684,584,341,654,333,197,704,265,448,463,625,101,691,556, 357,290,316,729,711,377,438,239,622,773,688,528,339, 38,310,113,707, 13,440,155,628,577,677,668,361,206,312,253,728,461,429, 99,635,549, 693,304,344,738,319,365,718,237,426,771,632,521,675, 52,338,122,315) ( 2,132,147, 12,580,145,656,585,201,648,277,224,452,261,112,467,541, 105,299,540,749,291,372,746,235,370,774,240,510,759, 44,506,115, 35) ( 3, 48,142,124,567, 5,664,165,208,564,257,672,473,205, 88,271,560, 469,289, 92,747,543,385,298,232,734,767,380,522,227, 34,758,128,511) ( 4,272,168,460,569, 89,663,557,217,284,260,756,459,373,102,243,538, 777,296,512,731, 39,366,130,231, 6,776,156,516,563, 33,646,137,203) ( 7, 20,160,152,572,565,649,669,221,200,256,280,476,457, 93,103,551, 553,301,288,736,739,375,382,242,230,762,772,520,507, 31, 30,114,119) ( 8,748,151,376,578,229,650,781,212,508,255, 56,450,121, 91, 19,552, 161,292,568,733,655,389,214,228,258,784,464,513, 87, 47,534,133,287) ( 9,104,159,544,581,285,652,753,207,368,270,252,454,765,100,523,535, 49,282,120,735, 11,384,158,236,566,761,660,529,199, 32,254,140,455) ( 14, 76,163,180,587,593,658, 81,219,172,279,616,462, 65,107,187,559, 609,294, 64,751,179,391,606,238, 62,779,184,531,591, 42, 58,135,175, 27,608,154, 68,583,173,671,613,210, 60,275,196,475,597, 98, 75,555, 189,307,596,742, 67,387,186,251,594,770, 72,527,171, 55,590,126, 63, 23,188,167,600,574, 61,667,193,223,592,266, 84,471,177,111,607,546, 77,303,176,755,599,378, 74,247,174,783,604,518, 59, 51,170,139,595) ( 16,524,143, 40,562,117,651, 25,216,144,264,588,453,653,109,215,536, 273,308,456,737, 95,383,550,245,286,764,744,515,367, 46,226,118,763) ( 18,244,146,768,576,509,647, 53,198,116,259, 28,468,149, 96,579,537, 665,305,204,732,263,392,466,233, 90,775,548,525,283, 36,730,123,371) ( 21,300,148,740,571,369,662,249,202,760,268,532,451, 37, 86,131,539) ( 22,496,162,488,582,481,666,501,218,480,274,504,470,485,106,495,554, 497,302,484,750,487,386,494,246,482,778,492,526,479, 50,478,134,483) ( 26,412,166,404,586,397,670,417,222,396,278,420,474,401,110,411,558, 413,306,400,754,403,390,410,250,398,782,408,530,395, 54,394,138,399) ( 57,723,181,447,603,630, 73,695,192,363,598,322)( 66,331,169,727,601, 434, 71,639,185,699,612,350)( 69,443,183,643,605,686, 80,359,178,335, 589,714)( 70, 79,191,195,615,602)( 78,499,190,503,610,490) ( 82,415,194,419,614,406)( 83,611,182)(309,701,713,433,435,631,633, 689,696,360,346,318)(321,421,715,629,437,687,640,353,682,332,337,710) (323,617,717,685,444,351,626,325,673,724,349,430)(330,477,722,489,442, 491,638,493,694,500,358,486)(334,393,726,405,446,407,642,409,698,416, 362,402)(414,502) ] ], [ 21, 193179168, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PSL(2, 27) wreath Sym(2)", [ "L", [ 2, 27 ], 2 ], [ ( 1,155,705,440, 92,318, 59,600,686,360,672,585, 39,129,734,522,457,758, 265,228,383,638,483,195,303,413)( 2,267,704,384,106,486, 83,292,693, 24,659,725, 48,101,738, 74,460,674,276,648,389, 50,493,755,298,469) ( 3,603,714,356,112,570, 67,124,678,528,653,781, 41,241,747,634,455, 170,275,396,365,162,481,447,288,329)( 4,379,722,496,111,290, 77, 12, 687,724,664,109, 38, 73,740,690,472,646,277, 32,381,750,494,475,282, 273)( 5,435,708,328, 87,598, 70,348,700,584,655,137, 34,521,737,774, 461,226,271,620,371,190,499,419,281,161)( 6,519,709,776, 97,234, 75, 628,679,192,667,417, 29,157,733,438,456,310,255,592,378,358,504,587, 291,133)( 7,183,723,412, 85,150, 61,432,680,332,647,613, 42,353,756, 578,459,114,258,508,373,778,489,251,299,637)( 8,323,703,608, 98,346, 84,572,683,136,650,529, 37,773,741,242,467,618,259,172,387,414,477, 167,285,441)( 9,771,713,244,103,626, 63,180,695,416,645,165, 33,437, 736,326,451,590,266,340,392,582,487,139,286,525)( 10, 71,712,692,108, 654, 81, 40,689,752,662,473, 30,269,732,382,470,478,279,284,385, 22, 491,727,300,105)( 11,127,706,524, 93,766, 69,236,691,640,651,193, 51, 409,729,158,453,422,260,312,367,610,490,363,308,581)( 13,239,719,636, 91,178, 79,404,673,164,649,445, 36,325,731,606,462,338,280,564,375, 134,482,531,289,777)( 14,351,728,580, 95,122, 62,516,681,780,657,249, 47,633,735,186,471,394,253,144,369,442,484,335,283,609) ( 15,715,720,104, 94, 66, 68,684,696,668,669, 53, 45,745,746,466,450, 254,256,368,386,498,503,307,301, 21)( 16,211,716,216,100,206, 72,208, 688,220,660,221, 44,213,744,214,464,198,268,200,380,218,492,223,296, 217)( 17,743,718,468, 86,262, 60,376,694,500,671,305, 49) ( 18,463,702,272, 88,374, 78,488,699,304,665, 25, 43,717,748,102,458, 58,264,676,388,666,501, 55,297,749)( 19,631,707,188,107,402, 57,152, 677,444,652,333, 31,605,742,354,476,562,263,116,370,526,485,783,293, 245)( 20, 99,710, 76, 96,682, 80,656,697, 52,661,753, 46,465,730,270, 452,366,274,480,391,302,497, 27,295,721)( 23,407,701,160, 89,430, 64, 320,675,612,658,361, 56,577,739,130,454,506,261,760,377,246,495,643, 287,189)( 26,547,726,552,110,542, 82,544,698,556,670,557, 54,549,754, 550,474,534,278,536,390,554,502,559,306,553)( 28,575,711,132, 90,514, 65,768,685,248,663,641, 35,185,751,410,449,142,257,424,372,330,479, 615,294,357)(113,146,509,429,764,321,227,607,630,343,196,583,403) (115,594,518,345,784,573,235,131,622,511,177,779,405,225,159,621,427, 176,331,395,589,154,341,448,568,319)(117,426,512,317,759,601,238,355, 644,567,179,135,398,505,149,761,433,232,327,619,595,182,359,420,561, 151)(118,510,513,765,769,237,243,635,623,175,191,415,393,141,145,425, 428,316,311,591,602,350,364,588,571,123)(119,174,527,401,757,153,229, 439,624,315,171,611,406,337,168,565,431,120,314,507,597,770,349,252, 579,627)(121,762,517,233,775,629,231,187,639,399,169,163,397,421,148, 313,423,596,322,339,616,574,347,140,566,515)(125,230,523,625,763,181, 247,411,617,147,173,443,400,309,143,593,434,344,336,563,599,126,342, 532,569,767)(128,202,520,205,772,209,240,215,632,203,184,219,408,197, 156,201,436,204,324,199,604,210,352,224,576,207)(138,538,530,541,782, 545,250,551,642,539,194,555,418,533,166,537,446,540,334,535,614,546, 362,560,586,543)(222,548), ( 1,522,156,402,182,344, 90, 23,523,160,418,172,341, 85, 18,520,150, 406,176,342,107, 19,524,166,396,173,337,102, 16,514,154,400,174,359, 103, 20,530,144,397,169,354,100, 10,518,148,398,191,355,104, 26,508, 145,393,186,352, 94, 14,512,146,415,187,356,110, 4,509,141,410,184, 346, 98, 8,510,163,411,188,362, 88, 5,505,158,408,178,350, 92, 6, 527,159,412,194,340, 89)( 2,515,164,399,180,353,112, 13,526,155,395, 189,345, 86, 11,528,147,404,185,364, 97, 22,519,143,413,177,338, 95, 24,511,152,409,196,349,106, 15,507,161,401,170,347,108, 7,516,157, 420,181,358, 99, 3,525,149,394,179,360, 91, 12,521,168,405,190,351, 87, 21,513,142,403,192,343, 96, 17,532,153,414,183,339,105, 9,506, 151,416,175,348,101, 28,517,162,407,171,357, 93)( 25,529,165,417,193, 361,109)( 27,531,167,419,195,363,111)( 29,606, 72,486,210,120,650, 51,607, 76,502,200,117,645, 46,604, 66,490,204,118,667, 47,608, 82, 480,201,113,662, 44,598, 70,484,202,135,663, 48,614, 60,481,197,130, 660, 38,602, 64,482,219,131,664, 54,592, 61,477,214,128,654, 42,596, 62,499,215,132,670, 32,593, 57,494,212,122,658, 36,594, 79,495,216, 138,648, 33,589, 74,492,206,126,652, 34,611, 75,496,222,116,649) ( 30,599, 80,483,208,129,672, 41,610, 71,479,217,121,646, 39,612, 63, 488,213,140,657, 50,603, 59,497,205,114,655, 52,595, 68,493,224,125, 666, 43,591, 77,485,198,123,668, 35,600, 73,504,209,134,659, 31,609, 65,478,207,136,651, 40,605, 84,489,218,127,647, 49,597, 58,487,220, 119,656, 45,616, 69,498,211,115,665, 37,590, 67,500,203,124,661, 56, 601, 78,491,199,133,653)( 53,613, 81,501,221,137,669) ( 55,615, 83,503,223,139,671)(225,718,324,458,434,624,734,247,719,328, 474,424,621,729,242,716,318,462,428,622,751,243,720,334,452,425,617, 746,240,710,322,456,426,639,747,244,726,312,453,421,634,744,234,714, 316,454,443,635,748,250,704,313,449,438,632,738,238,708,314,471,439, 636,754,228,705,309,466,436,626,742,232,706,331,467,440,642,732,229, 701,326,464,430,630,736,230,723,327,468,446,620,733)(226,711,332,455, 432,633,756,237,722,323,451,441,625,730,235,724,315,460,437,644,741, 246,715,311,469,429,618,739,248,707,320,465,448,629,750,239,703,329, 457,422,627,752,231,712,325,476,433,638,743,227,721,317,450,431,640, 735,236,717,336,461,442,631,731,245,709,310,459,444,623,740,241,728, 321,470,435,619,749,233,702,319,472,427,628,745,252,713,330,463,423, 637,737)(249,725,333,473,445,641,753)(251,727,335,475,447,643,755) (253,382,576,542,686,288,762,275,383,580,558,676,285,757,270,380,570, 546,680,286,779,271,384,586,536,677,281,774,268,374,574,540,678,303, 775,272,390,564,537,673,298,772,262,378,568,538,695,299,776,278,368, 565,533,690,296,766,266,372,566,555,691,300,782,256,369,561,550,688, 290,770,260,370,583,551,692,306,760,257,365,578,548,682,294,764,258, 387,579,552,698,284,761)(254,375,584,539,684,297,784,265,386,575,535, 693,289,758,263,388,567,544,689,308,769,274,379,563,553,681,282,767, 276,371,572,549,700,293,778,267,367,581,541,674,291,780,259,376,577, 560,685,302,771,255,385,569,534,683,304,763,264,381,588,545,694,295, 759,273,373,562,543,696,287,768,269,392,573,554,687,283,777,261,366, 571,556,679,292,773,280,377,582,547,675,301,765)(277,389,585,557,697, 305,781)(279,391,587,559,699,307,783) ] ], [ 22, 386358336, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, 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9,311,355,548,154,609,646,713,372,766,169,207, 508,249, 91, 82,644,751,482,127,274,412, 45,565,699,460,438,304) ( 10,309,347,536,165,595,670,728,387,762,183,218,524,241, 89, 83,628, 746,500,121,255,411, 44,574,693,450,433,288)( 11,312,361,539,166,616, 667,706,379,778,188,213,509,251, 96, 74,640,737,479,131,268,406, 49, 562,685,456,430,281)( 12,326,360,541,143,607,660,714,385,758,181,204, 514,225, 95, 60,641,735,502,140,275,398, 43,582,692,465,425,307) ( 13,316,346,533,151,592,669,707,390,784,191,202,519,246,104, 73,621, 755,488,130,276,401, 31,579,688,462,441,282)( 14,329,338,545,148,598, 645,711,368,781,175,222,532,247, 90, 71,638,748,493,117,279,404, 46, 584,681,451,439,296)( 15,330,356,549,145,615,656,718,388,765,171,215, 520,238,105, 58,629,736,486,113,263,396, 53,567,698,476,443,286) ( 16,322,357,534,153,596,654,701,375,760,193,203,530,252,107, 62,631, 750,496,129,257,419, 40,578,696,457,423,299)( 17,313,363,544,158,612, 653,703,383,772,182,217,506,237, 92, 66,617,739,480,137,259,418, 56, 583,678,463,442,300)( 18,332,345,535,159,604,658,721,366,769,176,206, 505,235, 88, 81,623,754,504,135,258,407, 50,580,689,453,447,292) ( 19,324,350,553,142,601,652,710,365,767,172,221,511,250,112, 79,622, 743,498,132,269,397, 55,572,690,472,429,283)( 20,325,341,559,152,606, 668,709,367,775,184,210,525,226, 97, 64,626,729,487,116,277,399, 54, 588,695,454,435,302)( 21,310,349,540,150,589,655,704,389,763,194,224, 527,230, 99, 78,636,745,481,139,264,410, 52,569,675,467,436,294) ( 22,328,353,537,167,600,662,724,373,759,187,212,518,245, 86, 69,624, 738,477,123,256,417, 35,586,700,471,426,295)( 23,314,351,554,160,605, 649,727,376,774,192,205,507,243,100, 70,637,730,489,120,262,393, 39, 564,697,455,446,308)( 24,317,339,551,156,602,665,702,377,764,178,197, 515,228,109, 63,642,756,499,118,267,414, 48,577,677,475,432,298) ( 25,315,362,560,163,594,659,722,384,773,173,223,516,242,108, 65,619, 747,492,126,273,394, 41,568,682,449,431,284)( 26,336,359,538,155,610, 664,717,369,783,180,214,528,233, 87, 75,632,742,497,114,265,400, 38, 561,683,452,445,287)( 27,320,354,556,149,591,663,716,378,777,170,209, 512,234, 85, 67,620,753,483,138,280,415, 34,575,694,468,437,285) ( 28,331,342,547,162,608,661,705,391,768,186,220,513,227,103, 72,630, 749,478,125,260,402, 29,571,676,473,427,306), ( 1,462,522,752, 87,583,341,645,457,634,740,535,581,173,655,233,641, 40,536,273,184, 11,238,529, 52, 88,275,352)( 2,154,512,696, 91,135, 353,701,463,774,755,395,566,313,664,289,626,376,551,217,190,487,250, 613, 56, 60,265,436)( 3,574,509,668, 93,639,348,533,469,186,739,227, 585, 33,648,261,632, 12,546,525,192, 95,247,361, 29,452,270,744) ( 4,266,520, 24, 98,527,360, 85,471,354,729,451,578,733,647,569,621, 656,541,637,180,543,245,193, 39,228,277, 44)( 5,658,513,640, 96,555, 357,169,459,242,753, 31,564,257,660, 9,630,516,556,105,191,347,225, 473, 46,732,255,576)( 6,322,524,304, 94,387,355,197,470,494,754,591, 588, 61,657,429,618,152,540,693,175,123,241,725, 43,760,279,408) ( 7,126,521,724, 99,779,363,393,454,326,748,283,570,369,663,205,638, 488,558,609,196, 67,237,445, 30,144,260,688)( 8,686,511,136,101,723, 351,757,475,410,734,311,580,285,654,373,635,208,554,497,194,599,252, 81, 41,424,254,156)( 10,378,523,220,106,499,362,589,476, 74,741,423, 562,145,652,681,623,124,549,721,183,767,251,417, 34,312,272,296) ( 13,434,506,164, 92,695,343,113,465,718,743,759,587,397,650,317,636, 292,542,385,187,207,246,501, 54,592,280, 72)( 14,518,528,108,107,359, 337,449,466,746,731,563,565,649,653,625,628,544,553,189,179,235,249, 53, 32,256,268, 16)( 15,770,531,416, 90,331,356,281,458,382,747,199, 582,481,670,597,644, 68,545,441,170,151,232,697, 35,116,269,716) ( 17,714,519,780,111,415,342,309,468,298,738,367,579,201,666,485,642, 600,560, 77,181,431,226,165, 36,676,259,128)( 18,742,507,584, 89,667, 345,617,460,550,749,171,571,229,669, 37,620,264,548, 21,182,515,248, 109, 51,340,253,464)( 19,210,526,500,110,611,364, 57,461,438,730,143, 568,677,651,121,633,712,547,777,195,403,230,333, 48,284,262,380) ( 20,294,514,388,103,219,358,477,474,606,756, 59,573,425,646,149,624, 684,539,133,185,711,239,781, 55,396,258,324)( 22,490,530,612,112, 79, 349,421,450,158,736,675,567,117,661,709,631,768,559,413,174,319,244, 305, 38,368,271,212)( 23,350,505,472,102,751,339,561,453,662,737,619, 572,537,665,177,627,236,557, 49,172,263,240, 25, 42,508,276,100) ( 26,602,532, 80, 97,443,338,141,456,690,735,115,577,705,659,765,643, 404,538,329,188,291,234,389, 47,200,274,492)( 27,406,510,332,104,303, 346,365,467,214,750,479,586,593,672, 65,629,432,534,161,176,683,231, 137, 45,704,267,772)( 28, 70,517,444, 86,163,344,673,455,130,745,703, 575,761,671,401,622,320,552,301,178,375,243,221, 50,480,278,604) ( 58,153,428,674,147,120,689,707,127,773,727,407,762,335,412,286,318, 384,299,206,386,495,222,610,504, 82,601,448)( 62,321,440,282,150,372, 691,203,134,493,726,603,784, 83,405,426,310,160,288,682,371,131,213, 722,491,782,615,420)( 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12,732,118,180,760,566,628) ( 5,751,136,173,779,584,621, 23,752,117,191,780,565,639, 24,733,135, 192,761,583,640)( 7,735,119,175,763,567,623)( 9,746,131,177,774, 579,625, 18,747,121,186,775,569,634, 19,737,130,187,765,578,635) ( 13,754,126,181,782,574,629, 26,742,125,194,770,573,642, 14,741,138, 182,769,586,630)( 15,750,129,183,778,577,631, 22,745,127,190,773,575, 638, 17,743,134,185,771,582,633)( 20,755,137,188,783,585,636, 27,753, 132,195,781,580,643, 25,748,139,193,776,587,641)( 29,700,240,449,504, 156,533, 56,688,225,476,492,141,560, 44,673,252,464,477,168,548) ( 30,680,234,450,484,150,534, 36,682,226,456,486,142,540, 38,674,232, 458,478,148,542)( 31,683,245,451,487,161,535, 39,693,227,459,497,143, 543, 49,675,235,469,479,151,553)( 32,678,236,452,482,152,536, 34,684, 228,454,488,144,538, 40,676,230,460,480,146,544)( 33,695,248,453,499, 164,537, 51,696,229,471,500,145,555, 52,677,247,472,481,163,556) ( 35,679,231,455,483,147,539)( 37,690,243,457,494,159,541, 46,691,233, 466,495,149,550, 47,681,242,467,485,158,551)( 41,698,238,461,502,154, 545, 54,686,237,474,490,153,558, 42,685,250,462,489,166,546) ( 43,694,241,463,498,157,547, 50,689,239,470,493,155,554, 45,687,246, 465,491,162,549)( 48,699,249,468,503,165,552, 55,697,244,475,501,160, 559, 53,692,251,473,496,167,557)( 57,728,212,589,280,296,505, 84,716, 197,616,268,281,532, 72,701,224,604,253,308,520)( 58,708,206,590,260, 290,506, 64,710,198,596,262,282,512, 66,702,204,598,254,288,514) ( 59,711,217,591,263,301,507, 67,721,199,599,273,283,515, 77,703,207, 609,255,291,525)( 60,706,208,592,258,292,508, 62,712,200,594,264,284, 510, 68,704,202,600,256,286,516)( 61,723,220,593,275,304,509, 79,724, 201,611,276,285,527, 80,705,219,612,257,303,528)( 63,707,203,595,259, 287,511)( 65,718,215,597,270,299,513, 74,719,205,606,271,289,522, 75, 709,214,607,261,298,523)( 69,726,210,601,278,294,517, 82,714,209,614, 266,293,530, 70,713,222,602,265,306,518)( 71,722,213,603,274,297,519, 78,717,211,610,269,295,526, 73,715,218,605,267,302,521) ( 76,727,221,608,279,305,524, 83,725,216,615,277,300,531, 81,720,223, 613,272,307,529)( 85,420,380,337,672,436,309,112,408,365,364,660,421, 336,100,393,392,352,645,448,324)( 86,400,374,338,652,430,310, 92,402, 366,344,654,422,316, 94,394,372,346,646,428,318)( 87,403,385,339,655, 441,311, 95,413,367,347,665,423,319,105,395,375,357,647,431,329) ( 88,398,376,340,650,432,312, 90,404,368,342,656,424,314, 96,396,370, 348,648,426,320)( 89,415,388,341,667,444,313,107,416,369,359,668,425, 331,108,397,387,360,649,443,332)( 91,399,371,343,651,427,315) ( 93,410,383,345,662,439,317,102,411,373,354,663,429,326,103,401,382, 355,653,438,327)( 97,418,378,349,670,434,321,110,406,377,362,658,433, 334, 98,405,390,350,657,446,322)( 99,414,381,351,666,437,323,106,409, 379,358,661,435,330,101,407,386,353,659,442,325)(104,419,389,356,671, 445,328,111,417,384,363,669,440,335,109,412,391,361,664,447,333), ( 1,566,255, 13,398,270,349,411,662,345,607,671,737,616,223,733,448, 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54,378,558,388,166,385,698,371, 334,387, 82,375,474,389,194,386,530,368,110,372,306,366,782,365,586, 367)(384,642) ] ], [ 24, 579537504, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PSL(2, 27)^2.Sym(3)", [ "L", [ 2, 27 ], 2 ], [ ( 1,686, 35,512,720,252, 86, 59,443)( 2,675, 51,505,714,231, 92, 76,448) ( 3,695, 29,518,707,232,104, 84,422)( 4,683, 37,530,706,243, 89, 83, 444)( 5,699, 52,508,711,233,110, 62,439)( 6,691, 33,531,724,228, 95, 65,446)( 7,680, 48,532,702,227,107, 57,434)( 8,692, 56,506, 703,247, 85, 70,427)( 9,698, 34,523,705,251,108, 60,431) ( 10,688, 50,519,712,242,109, 69,441)( 11,681, 54,510,719,229,111, 80, 424)( 12,690, 53,517,721,234,100, 78,435)( 13,693, 38,520,722,239, 96, 74,445)( 14,679, 36,524,728,226, 87, 79,421)( 15,684, 46,529, 713,245, 94, 72,442)( 16,694, 43,516,718,249, 97, 77,430) ( 17,689, 45,521,717,241,101, 73,437)( 18,697, 41,525,710,240,106, 71, 432)( 19,677, 55,528,704,235, 93, 82,426)( 20,700, 30,507,723,225, 98, 63,428)( 21,682, 44,526,715,236,102, 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324,187,248,139,489,425,781,406, 49,740,370)( 8,689,283, 60,533,275, 458,155,212,176,696,115, 69,421,277,402,161,744,174, 24,129,293,424, 557,415,469,743,202)( 9,717,302, 88,550,583,450,323,215,232,699,479, 61,757,266, 38,152,380,175,360,140,657,440,613,403,637,754,510) ( 11,633,306,508,541,723,470, 99,214,568,674,311, 75,225,279,486,145, 772,182, 52,124,377,427,361,420,665,748,594)( 12,381,287,340,560,667, 468,603,207,624,698,507, 65,701,274, 94,158,576,170,332,131,237,447, 501,397,777,742, 34)( 13,437,305,396,553,751,454, 15,213,288,676,535, 79,449,267,206,148,688,171, 80,113,265,430,165,408,189,752,118) ( 14, 45,292,368,539,359,476,659,216,596,683,619, 82,505,261,710,162, 100,186,584,114,321,439,249,419,497,733,762)( 18,577,282,312,551,247, 475,491,201,764,686, 31, 68,365,259,346,168,660,188,612,123,629,446, 529,401,721,750, 90)( 19,241,307,480,537,779,462, 43,208,372,679,339, 84,645,272,598,151,632,194,528,121,713,442,109,410,581,730,314) ( 20,605,291,620,558,527,457,715,218, 92,690,563, 58,309,271,234,167, 492,173,780,126, 41,432,389,399,357,756,650)( 22,101,298,564,534,331, 467,239,223,484,677,759, 70, 29,264,374,147,352,196,668,132,601,431, 641,418,525,737,706)( 23,465,295,200,540,695,451, 71,197,260,682,143, 72,169,276,122,153,436,193,416,133,741,426, 25,409,301,732,538) ( 26,521,289,704,554,107,466,575,198,316,691,227, 83,477,257,766,154, 44,180,388,119,349,448,669,412,609,739,622)( 27,493,285,760,546, 51, 460,379,203,344,700,647, 76,589,263,626,166,520,177,724,134, 97,438, 585,394,329,747,230)( 28,661,300,592,543,639,474,519,205,708,694, 87, 74,561,254,318,159,240,195,500,117,769,434, 53,404,385,735,342) ( 30,320,383,231,363,504,649,776,602, 39,628,390,511,345,728,666,104, 606,571,618,334,523,233,727,498, 89,774,574)( 33,768,378, 35,348,392, 651,356,616,655,636,614,515,625,726,526, 93,718,582, 86,326,579,226, 335,495,229,783,490)( 37,712,386, 91,354,588,646,328,607,235,643,502, 509,765,714, 50, 96,382,567,338,336,663,244,615,487,621,782,518) ( 40,376,371,343,364,672,664,608,599,627,642,530,513,709,722,106,102, 578,562,310,327,243,251,503,481,761,770, 42)( 46,572,366,315,355,252, 671,496,593,767,630, 54,516,373,707,358,112,662,580,590,319,635,250, 531,485,705,778, 98)( 47,236,391,483,341,784,658, 48,600,375,623,362, 532,653,720,610, 95,634,586,506,317,719,246,111,494,565,758,322) ( 55,488,369,763,350, 56,656,384,595,347,644,670,524,597,711,638,110, 522,569,702,330,103,242,587,478,313,775,238) ] ], [ 26, 772716672, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PGL(2, 27) wreath Sym(2)", [ "L", [ 2, 27 ], 2 ], [ ( 1,623,191,525,143,598,398,327,767,351,586, 44, 58,365,629,695,521,227, 592,706,317,739,348,474, 48,534,378,433,699,213,252,480,724,289,733, 656,470,132,540, 98,438,279,221, 28,483,192,301,145,654,414,131,764, 99,578,268, 81)( 2,371,181,693,157,234,396,719,765,743,572,464, 76, 533,630,443,531,199,616,482,332,291,341,670, 50,114,372, 97,690,269, 249, 4,707,177,749,152,458,412,551,770,435,587,212, 84,477,640,303, 509,647,610,118,316, 95,354,278, 53)( 3,595,174,329,151,346,418, 47, 758,379,573,688, 73,225,620,723,513,731,600,454,328,543,350,446, 55, 198,392,489,696,297,229,648,722,121,736, 96,466,272,557, 14,427,195, 217,168,486,416,299,761,659,582,128, 64, 85,634,275,529) ( 5,651,190,133,148, 94,410,271,781, 15,567,184, 77,141,626,415,523, 759,603,566,324, 67,337,642, 51,506,367,601,678,325,235,340,726, 37, 730,376,461,692,549,238,424,727,205,756,488,472,300,537,658,442,139, 204,112,494,276,305)( 6,315,179,357,166, 38,394,383,769,687,577,240, 60,701,625,751,516,451,608,538,322,431,363,222, 56,478,388,293,677, 661,246,116,708, 93,746,264,473, 20,539,182,441,167,206,420,495,780, 295,565,660, 78,113,624,107,522,255,613)( 7,175,189,161,150,402,411, 775,771,575,576, 72, 57,617,639,527,507,591,594,314,319,347,362, 54, 30,366,377,685,689,241,228,704,709,737,740,460,468,552,546,434,447, 223,224,504,500,304,285,649,666,134,120, 92,102,270,277, 25) ( 8, 91,186,273,165, 10,399,187,777,155,570,408, 75,757,631,583,520, 59,589,622,331,515,339,614, 34,310,375,349,698, 45,226,368,713,681, 745,236,452,720,541,742,432,475,216,560,490,444,307,201,672,498,136, 288, 89,662,274,137)( 9,735,180,469,160,542,406,439,783,211,588,492, 80,281,621,667,526,115,596, 90,326,263,361, 26, 35,170,385,153,682, 409,243,760,715,569,744, 68,449,636,555,518,423,615,202,336,487,360, 306, 33,646,386,125,680,101,242,256,725)( 11,343,194, 49,142,374,405, 691,773,239,564,716, 65,729,628,471,524,535,602,426,335,207,364,502, 52,282,369,657,694,129,232, 88,718,261,753, 12,455,188,553,154,430, 419,215,784,491,584,296, 61,645,638,135,512, 87,606,258,333) ( 13,679,185,245,144,710,401,747,768,463,580,548, 70,421,643,219,532, 479,612,286,313,655,358,138, 36, 86,382,265,697, 17,231,172,721,149, 738,404,467,776,547,574,436, 83,197,644,499,528,283,593,650,330,123, 344,110, 46,254,389)( 16, 63,169,637,163,514,395,607,762,323,571,352, 82, 29,618,387,517,675,605,230,312,711,345,754, 40,450,384,545,686, 437,251,200,728,485,752,292,453,664,554,126,428,111,214,280,501, 24, 287,173,665,162,122,400,103,774,267,585)( 18,259,193, 21,147,178,413, 159,766,407,579,772, 71,561,632, 79,505,619,611,510,311,599,342,334, 39,338,390, 41,674,381,237,676,717,233,732,712,457,748,544,462,440, 559,210,448,503,220,308,481,668,302,117,652,106,130,260,109) ( 19,763,183,581,156, 66,393,635,779,519,563,604, 62,309,627,359,530, 31,590,370,321,683,353,250, 32,702,373,741,684,465,244,536,714,429, 755,208,476,496,556,294,425,671,218,140,484,108,298,257,669, 22,119, 176,105,158,262,417)( 23,511,171,609,146,318,403,355,782, 43,562,380, 69,673,633,247,508,703,597,734,320,459,356,558, 42,422,391,209,700, 493,248,284,705,653,750,124,456,104,550,266,445, 27,203,196,497,164, 290,397,663,778,127,568,100, 74,253,641), ( 1,188,771,640,550,502,118,105,725,674,317,253,195, 43,630, 18,496, 762,108,557,698,121,273,727, 30,322)( 2,328,757,192,547,642,130,497, 706, 86,333,673,177,267,643, 46,490, 6,104,781,696,541,278,139, 49, 714)( 3,356,775,304,554,222,120,385,707,562,324,393,179,239,629,438, 493,594,107,529,682,457,280,755, 40, 70)( 4,664,760,668,536,670,116, 665,704,646,312,645,172,659,620,662,480,650, 88,669,676,653,256,671, 32,658)( 5,160,761,164,537,166,117,161,705,142,313,141,173,155,621, 158,481,146, 89,165,677,149,257,167, 33,154)( 7,580,772,416,543,250, 125,441,717,590,331,505,178,463,644,746,488, 62, 87,361,691,289,274, 223, 36,378)( 8,384,763,584,548,418,123,245,713,422,325,589,191,519, 626,466,504,734, 96, 81,675,345,271,307, 50,210)( 9,272,783, 52,546, 26,132,777,724,534,334,113,189,715,618,326,477,174, 99,641,690,485, 258,111, 53,686)( 10,468,784,752,544, 82,115,357,719,282,330,197,176, 379,623,578,492,398, 95,249,685,429,269,615, 51,518)( 11,244,769,444, 549,614,135,525,710,450,336,729,180, 71,619,354,495,286,106,221,680, 373,259,587, 44,406)( 12, 76,759,360,551,306,134,217,708,366,315,561, 184,407,627,242,489,426,101,613,695,513,262,475, 56,742) ( 13,440,773,612,555,530,122,469,728,730,320, 57,171,351,635,298,498, 202, 92,389,679,569,268,419, 39,238)( 14, 20,776,780,556,558,138,133, 721,702,310,309,169,183,631,634,494,482, 90,109,697,681,261,279, 55, 42)( 15,636,774,500,538,110,137,693,709,254,335, 29,182) ( 16,412,767,248,545,446,129,609,723,506,318,449,196,743,628, 74,479, 342,103,305,694,205,260,391, 35,574)( 17,608,779,528,542,474,140,749, 712, 58,311,337,187,295,638,214,484,370, 91,585,688,401,263,251, 41, 434)( 19,300,778,220,540,390,119,581,716,394,319,225,181,435,633,606, 499,510, 94,473,700,737,264, 83, 31,350)( 21,720,758,332,533,194,127, 637,718,478,314, 85,193,687,625,270,503, 34, 98, 25,692,765,276,559, 54,126)( 22,216,764,388,539,586,128,413,711,226,321,421,185,603,639, 522,486,454,112,753,684, 65,255,363, 47,294)( 23,524,766,472,560,754, 124, 77,703,338,327,281,190,211,624,382,483,566,100,417,683,233,265, 447, 45,602)( 24,552,782,136,553,726,114,329,701,170,323,617,186,491, 622,102,501,678, 93,277,699, 37,266, 27, 48,770)( 28,748,768, 80,535, 362,131,301,722,198,316,365,175,575,632,410,487,230, 97,445,689,597, 275,531, 38,462)( 59,339,355,299,302,218,204,372,371,567,576,408,403, 235,237,433,437,605,611,527,514,458,476,756,740, 68)( 60,647,340,663, 284,666,200,652,368,651,564,660,396,655,228,657,424,661,592,667,508, 654,452,672,732,656)( 61,143,341,159,285,162,201,148,369,147,565,156, 397,151,229,153,425,157,593,163,509,150,453,168,733,152) ( 63,563,352,411,291,246,209,428,381,595,583,520,402,459,252,741,432, 73,591,359,523,290,470,224,736,376)( 64,367,343,579,296,414,207,232, 377,427,577,604,415,515,234,461,448,745,600, 79,507,346,467,308,750, 208)( 66,451,364,747,292, 78,199,344,383,287,582,212,400,375,231,573, 436,409,599,247,517,430,465,616,751,516)( 67,227,349,439,297,610,219, 512,374,455,588,744,404)( 69,423,353,607,303,526,206,456,392,735,572, 72,395,347,243,293,442,213,596,387,511,570,464,420,739,236) ( 75,283,358,215,288,386,203,568,380,399,571,240,405,431,241,601,443, 521,598,471,532,738,460, 84,731,348)(144,649) ] ], [ 27, 1159075008, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PSL(2, 27)^2.(2 x 6)", [ "L", [ 2, 27 ], 2 ], [ ( 1,132,571,455, 94,501, 84,330,602,307,648,171,558,718,740,444,213,245) ( 2,356,579,371, 89,697, 79,274,597,167,660,395,540,634,743, 52,209, 777)( 3,552,578,735,108,221, 77, 22,608,587,651, 87,557, 74,750,612, 223,665)( 4,188,586,707, 96,445, 73,246,589,139,655,451,542,494,756, 332,210,301)( 5,692,583,259, 93,165, 72,414,596,643,659, 31,545,774, 730,360,215,385)( 6,524,566,511, 90,529, 62,526,594,531,650,507,538, 522,734,528,202,525)( 7,104,585, 63,106,613, 83,666,591,559,662,731, 556,214,749, 24,216,581)( 8,636,575, 35, 97,781, 58,358,607,391,649, 675,555,270,737,164,212,413)( 9,160,576,399, 92,641, 71, 50,601,783, 646,339,551,382,733,696,219,273)( 10,496,588,315, 98,305, 60,190,614, 727,656,423,549,242,729,136,207,469)( 11,468,570,483,112,333, 70,302, 592,195,670,703,544,438,745,248,197,133)( 12,440,577,231, 85,137, 67, 470,598,503,672,311,546,298,732,192,222,721)( 13,776,562,343,103,389, 61,694,611,279,653,143,548,410,736,640,211, 49)( 14,300,564,175,110, 725, 68,442,605,251,645,115,543,466,738,500,224,329)( 15, 48,573,763, 86,361, 75,386,593,699,667,255,541,158,744,416,204,637) ( 16,412,568,623, 99, 53, 69,778,590,363,663,367,537,690,751,276,205, 161)( 17,244,561,119, 95,473, 66,498,616,335,658,283,536,186,754,724, 208,441)( 18,748,584,203,105, 25, 76,582,595,111,669, 59,554,606,755, 668,199,553)( 19,384,565,679,107,277, 65,162,604,419,652,619,547, 46, 741,780,198,357)( 20,580,567, 91,109, 81, 78,610,615,671,647,535,550, 746,752,220,217, 21)( 23,272,569,147,100,417, 64,638,603, 55,657,759, 534,354,747,388,201,693)( 26,720,572,427,101,249, 57,134,599,475,654, 479,560,326,742,304,200,189)( 27,664,563,539,102,753, 80,218,609) ( 28,328,574,287, 88,193, 82,722,600,447,661,227,533,130,739,472,206, 497)( 29,125,767,450,346,495,392,313,686,303,256,177,166,716,404,428, 633,239)( 30,349,775,366,341,691,387,257,681,163,268,401,148,632,407, 36,629,771)( 32,181,782,702,348,439,381,229,673,135,263,457,150,492, 420,316,630,295)( 33,685,779,254,345,159,380,397,680,639,267, 37,153, 772,394,344,635,379)( 34,517,762,506,342,523,370,509,678,527,258,513, 146,520,398,512,622,519)( 38,489,784,310,350,299,368,173,698,723,264, 429,157,240,393,120,627,463)( 39,461,766,478,364,327,378,285,676,191, 278,709,152,436,409,232,617,127)( 40,433,773,226,337,131,375,453,682, 499,280,317,154,296,396,176,642,715)( 41,769,758,338,355,383,369,677, 695,275,261,149,156,408,400,624,631, 43)( 42,293,760,170,362,719,376, 425,689,247,253,121,151,464,402,484,644,323)( 44,405,764,618,351, 47, 377,761,674,359,271,373,145,688,415,260,625,155)( 45,237,757,114,347, 467,374,481,700,331,266,289,144,184,418,708,628,435)( 51,265,765,142, 352,411,372,621,687)( 54,713,768,422,353,243,365,117,683,471,262,485, 168,324,406,288,620,183)( 56,321,770,282,340,187,390,705,684,443,269, 233,141,128,403,456,626,491)(113,123,459,458,486,504,336,322,294,284, 172,194,726,712,432,437,241,225)(116,179,474,710,488,448,325,238,281) (118,515,454,514,482,532,314,518,286,508,174,530,706,516,426,521,230, 505)(122,487,476,318,490,308,312,182,306,704,180,446,717,236,421,129, 235,449)(124,431,465,234,477,140,319,462,290,480,196,334,714,292,424, 185,250,701)(126,291,452,178,502,728,320,434,297,228,169,138,711,460, 430,493,252,309), ( 1,363,653,537, 15,139,650,565, 25,503,670,677) ( 2,195,652, 61, 21,419,663,369, 20, 55,661,425)( 3,111,654,313, 16, 475,667,285, 13,167,655,593)( 4,531,651,257)( 5, 27,671,649) ( 6,587,669,481, 26,699,645,341, 9,559,659,117)( 7,279,648,509) ( 8, 83,665,397, 19,391,664, 33, 17,447,646,173)( 10,335,660,453, 23, 307,657,145, 11,615,647, 89)( 12,251,668,733, 22,727,662,621, 28,223, 658,761)( 14,783,656,229, 24,755,666,705, 18,643,672,201) ( 29,353,429,534,183,120, 62,581,417,495,390,692)( 30,185,428, 58,189, 400, 75,385,412, 47,381,440)( 31,101,430,310,184,456, 79,301,405,159, 375,608)( 32,521,427,254,172,512, 63,273,396,523,371,272) ( 34,577,445,478,194,680, 57,357,401,551,379,132)( 35,269,424,506,175, 260, 60,525,399,271,368,524)( 36, 73,441,394,187,372, 76, 49,409,439, 366,188)( 37,549,435,114,174,568, 81,497,418,691,365,356) ( 38,325,436,450,191,288, 69,161,403,607,367,104)( 39,605,423, 86,178, 316, 72,469,415,299,377,160)( 40,241,444,730,190,708, 74,637,420,215, 378,776)( 41,157,431,590,171, 92, 66,329,408,467,387,300) ( 42,773,432,226,192,736, 78,721,410,635,392,216)( 43,129,426,562,193, 484, 82,693,393,355,373,552)( 44,465,443,282,181,148, 67,609,395,103, 374,328)( 45,437,422,170,176, 64, 77,413,411,383,384, 48) ( 46,633,448,198,182,764, 68,245,416,747,386,720)( 50,717,438,618,196, 204, 70,777,404,243,388,748)( 51,297,433,142,179,596, 59,105,402,327, 380,468)( 52,745,442,702,186,624, 84,217,406,775,376,244) ( 53,493,446,674,169,344, 65,553,407,131,370,580)( 54,689,421,338,177, 540, 71,133,398,579,389,496)( 56,213,434,758,180,232, 80,749,414,719, 382,636)( 85,346,317,548,463,135,286,573,165,487,614,675) ( 87, 94,318,324,464,471,303,293,153,151,599,591)( 88,514,315,268,452, 527,287,265,144,515,595,255)( 90,570,333,492,474,695,281,349,149,543, 603,115)( 91,262,312,520,455,275,284,517,147,263,592,507) ( 93,542,323,128,454,583,305,489,166,683,589,339)( 95,598,311,100,458, 331,296,461,163,291,601,143)( 96,234,332,744,470,723,298,629,168,207, 602,759)( 97,150,319,604,451,107,290,321,156,459,611,283) ( 98,766,320,240,472,751,302,713,158,627,616,199)( 99,122,314,576,473, 499,306,685,141,347,597,535)(102,626,336,212,462,779,292,237,164,739, 610,703)(106,710,326,632,476,219,294,769,152,235,612,731) (108,738,330,716,466,639,308,209,154,767,600,227)(109,486,334,688,449, 359,289,545,155,123,594,563)(110,682,309,352,457,555,295,125,146,571, 613,479)(112,206,322,772,460,247,304,741,162,711,606,619) (113,342,569,557,491,138,678,561,361,485,558,687)(116,510,567,277,480, 530,679,253,340,513,539,267)(118,566,585,501,502,698,673,337,345,541, 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35,589,227,527,636,403,770,357, 86, 140,752,372,295,666,269,725,177,545)( 36,281,246,275,641,179,769, 49, 85,252,751,624,291,778,273,109,196,741)( 37,533,231,611,619,515,776, 413, 98,364,730,120,304,386,267,669,185,713)( 39,757,245,107,644,739, 764,301,106,280,753,176,293, 50,253,249,191,629)( 42,337,226,135,640, 375,771,665,101,728,737,540,287,610,255,529,188,405)( 43,645,241,723, 625,543,763,609, 87,532,748,400,294,358,254,137,192,377) ( 45,701,233,555,623,599,759,525,104,420,742,344,282,134,276,389,183, 657)( 48,393,238,359,618,123,780,385, 99,672,745,708,289,554,259,613, 171,517)( 51,617,235,779,637, 95,784,749, 92,308,750,260,305,190,265, 53,169,237)( 52,365,239,667,633,711,765,553, 91,616,731,512,300,414, 266,361,170,125)( 56,729,232,303,638,263,781,189, 97) (114,136,388,379,659,661,717,709,541,539,595,591,507,524,412,406,350, 338)(115,528,384,407,658,353,702,121,556,371,603,647,521,720,401,546, 343,590)(116,332,368,323,648,325,704,317,536,315,592,311,508,328,396, 322,340,310)(119,612,367,519,664,409,714,345,534)(126,360,366,127, 668,381,715,653,549,707,597,535,511,608,395,518,356,394) (129,724,373,547,651,605,703,513,552,399,602,339,506,132,416,378,351, 646), ( 1,446,215,665,744,728,134,153,347,294,458,367) ( 2,558,213,693,730,560,129,685,338,546,465,675)( 3, 26,222,217,749, 756,140,125,349,350,462,451)( 4,614,216,329,755,196,136,237,361, 70, 453,507)( 5,530,200,609,748,336,139,181,360,238,473, 59) ( 6,418,214, 49,740,112,120,629,359,574,463,759)( 7,278,205,497,735, 280,121,489,343,266,457,479)( 8,642,219,581,743,784,118,405,354, 42, 460, 87)( 9,502,203,273,737,504,119,265,345,490,455,255) ( 10,390,197,441,747,672,128,713,358,154,459,283)( 11,306,206,385,729, 448,131,657,352,714,470,143)( 12,110,204,637,751,588,127,769,342,406, 466, 31)( 13,362,210,469,731, 28,138,209,357,742,476,115) ( 14,474,199, 21,754,224,133,741,364,126,461,339)( 15,782,202,413,746, 56,124, 97,344,630,471,563)( 16,726,218,161,739,308,122,377,337,434, 467,647)( 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681,414,585,731,325,651,777,643,702,491,518,606, 16,439, 51,276, 69, 384,348,250,151,200, 85,140,540,453,290,678,190,569,395,333,735,773, 671,721,631,506,494)( 15,523, 46, 24, 75, 48,360, 82,160,340,110,168, 536, 89,308,538,173,289,398,193,737,409,669,749,633,646,497,630,590, 492,434,611,268,433,387,264,237,375,208,225,123,204,449,122,680,470, 570,675,330,567,759,335,707,771,531,718)( 18, 19, 47, 52, 80, 76,356, 362,166,144, 88,112,560,537,285,286,174,177,401,417,753,745,661,665, 637,618,478,490,602,604,436,443,275,265,377,376,236,235,207,197,113, 120,456,458,682,694,582,563,311,315,763,783,727,715,519,522) ( 20,355, 54,164, 60,104,364,558,145,284, 90,196,541,397,305,734,185, 653,413,641,730,493,658,609,632,422,499,266,601,380,432,247,263,209, 365,124,232,459,206,673,134,568,451,318,679,778,587,703,323,511,774, 27,719, 43,528, 74)( 22,579, 31,332, 63,776,363,726,155,508,102, 28, 551, 33,304, 62,188,345,418,165,732,101,672,553,621,282,482,182,597, 408,445,751,269,657,385,628,226,487,210,589,128,428,471,262,685,386, 572,227,319,203,757,139,708,463,514,690) ] ], [ 33, 2318150016, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PSL(2, 27)^2.(3 x D_8)", [ "L", [ 2, 27 ], 2 ], [ ( 1,238,723,286,312,103,516, 31,184,587,558,148,661,756,636,478,125,470) ( 2,126,722, 6,322,719,510,311,187,531,535,176,671,560,624,646,140, 638)( 3,182,727,538,316,663,532,619,170,139,554, 8,658,728,622,310, 131,526)( 4, 98,712, 34,324,579,530,143,185,755,552,484,657,476,617, 226,135,302)( 5,378,718,398,319,607,514,423,177,783,539,680,665, 84, 640,198,127,358)( 7,686,721, 62,332,215,519,339,173,391,550,400,655, 616,626,422,121,778)( 9,770,707,678,329, 75,528,199,183,363,537,372, 662,420,627,590,122,442)( 10,434,709,762,315,691,525, 59,192,223,547, 344,649,392,634,394,123,610)( 11,602,710,426,317,775,511,675,189, 83, 556,204,659,364,621,366,130,414)( 12, 42,716,566,334,159,521,731,188, 503,545,456,645,252,639,282,116,106)( 13,462,701,230,331,299,508, 87, 180, 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4,513,425,342,590,735, 25,522,437,348,607,739, 26,527,428,346, 589,731, 16,517,448,356,615,750, 21,518,424,345,593,734, 2,511,445, 354,605,740, 19,515,446,359,596,738)( 3,520,433,364,608,755, 22,525, 434,340,597,733, 6,506,427,361,606,745, 12,523,431,362,611,736, 10, 505,423,352,601,756, 20,531,442,357,602,732, 9,509,426,338,595,753, 18,521,432,355,599,754, 23,512,430,337,591,744, 13,532,440,363,610, 749, 14,508,429,341,594,730, 7,529,438,353,600,747, 11,530,443,344, 598,729)( 15,519,435,351,603,743)( 24,528,444,360,612,752) ( 29,703,100,237,168,692, 55,722,105,238,144,681, 33,706, 86,231,165, 690, 45,712,103,235,166,695, 36,710, 85,227,156,685, 56,720,111,246, 161,686, 32,709, 89,230,142,679, 53,718,101,236,159,683, 54,723, 92, 234,141,675, 44,713,112,244,167,694, 49,714, 88,233,145,678, 30,707, 109,242,157,684, 47,711,110,247,148,682)( 31,716, 97,252,160,699, 50, 721, 98,228,149,677, 34,702, 91,249,158,689, 40,719, 95,250,163,680, 38,701, 87,240,153,700, 48,727,106,245,154,676, 37,705, 90,226,147, 697, 46,717, 96,243,151,698, 51,708, 94,225,143,688, 41,728,104,251, 162,693, 42,704, 93,229,146,674, 35,725,102,241,152,691, 39,726,107, 232,150,673)( 43,715, 99,239,155,687)( 52,724,108,248,164,696) ( 57,395,296,461,336,664, 83,414,301,462,312,653, 61,398,282,455,333, 662, 73,404,299,459,334,667, 64,402,281,451,324,657, 84,412,307,470, 329,658, 60,401,285,454,310,651, 81,410,297,460,327,655, 82,415,288, 458,309,647, 72,405,308,468,335,666, 77,406,284,457,313,650, 58,399, 305,466,325,656, 75,403,306,471,316,654)( 59,408,293,476,328,671, 78, 413,294,452,317,649, 62,394,287,473,326,661, 68,411,291,474,331,652, 66,393,283,464,321,672, 76,419,302,469,322,648, 65,397,286,450,315, 669, 74,409,292,467,319,670, 79,400,290,449,311,660, 69,420,300,475, 330,665, 70,396,289,453,314,646, 63,417,298,465,320,663, 67,418,303, 456,318,645)( 71,407,295,463,323,659)( 80,416,304,472,332,668) (113,255,772,573,644,216,139,274,777,574,620,205,117,258,758,567,641, 214,129,264,775,571,642,219,120,262,757,563,632,209,140,272,783,582, 637,210,116,261,761,566,618,203,137,270,773,572,635,207,138,275,764, 570,617,199,128,265,784,580,643,218,133,266,760,569,621,202,114,259, 781,578,633,208,131,263,782,583,624,206)(115,268,769,588,636,223,134, 273,770,564,625,201,118,254,763,585,634,213,124,271,767,586,639,204, 122,253,759,576,629,224,132,279,778,581,630,200,121,257,762,562,623, 221,130,269,768,579,627,222,135,260,766,561,619,212,125,280,776,587, 638,217,126,256,765,565,622,198,119,277,774,577,628,215,123,278,779, 568,626,197)(127,267,771,575,631,211)(136,276,780,584,640,220) (169,479,184,489,196,496,195,498,189,490,172,485,173,482,170,483,193, 494,185,488,187,487,194,499,176,486)(171,492,181,504,188,503,190,497, 182,480,177,481,174,478,175,501,186,493,180,495,179,502,191,484,178, 477)(183,491)(192,500)(365,367,380,377,392,384,391,386,385,378,368, 373,369,370,366,371,389,382,381,376,383,375,390,387,372,374) (533,535,548,545,560,552,559,554,553,546,536,541,537,538,534,539,557, 550,549,544,551,543,558,555,540,542), ( 1,345,596,460,287,744,196,518,664,251, 81,329,674,633,726,556,767,153 )( 2,625,614,544,291,156,169,350,652,475, 63,749,700,521,720,248, 781,321)( 3, 37,607,404,302,212,186,126,649,503, 60,581,678,101,723, 444,766,377)( 4,569,594, 96,303,436,178,378,647, 55, 75,413,694,213, 718,136,761,489)( 5,485,592,572,286,100,191,434,654,391, 59, 49,691, 409,722,220,774,125)( 6, 93,611,432,290,380,171, 42,663,419, 78,217, 690,129,705,500,760,573)( 7,737,616,516,300,240,193,322,646,643, 82, 553,683,157,701,360,764,461)( 8,457,595,740,308,520,188,238,669,335, 58,637,698,549,711,164,757,349)( 9,597,600,292,296,184,182,658,671, 83, 77,693,689,717,724,780,769, 13)( 10,373,591, 40,299,408,190,210, 662,139, 61,497,676,577,706,108,779,433)( 11,149,589,348,288,464,175, 742,672,531, 76,245,697,325,702,640,782,545)( 12,289,604,180,294,660, 195, 70,665,699, 73,721,696,773,713, 24,765,601)( 14,653,615, 68,301, 688,185,714,668,783, 69, 21,681,605,712,304,772,181)( 15,261,603,264, 295,268,183,266,659,279, 71,273,687,269,715,276,771,265) ( 16,177,602,656,307, 72,189,686,661,727, 80,777,685, 17,709,612,768, 293)( 18,121,593,488,284,576,174, 98,667,447, 66,385,675, 45,719,416, 778,209)( 19,401,610,208,298,128,173,490,648,587, 62,105,695,437,710, 388,759, 41)( 20,233,613,320,282,632,194,546,655,167, 57,357,680,465, 707,752,784,517)( 22,205,606,124,285,492,172,574,650,111, 79,441,682, 381,703, 52,775,405)( 23,429,598,376,283, 44,187,406,666,223, 74,133, 677,493,704,584,762, 97)( 25,317,590,628,306,548,179,154,645,363, 64, 469,679,745,728,528,776,237)( 26,541,599,152,281,352,176,462,651,755, 84,525,692,241,725,332,758,629)( 27, 65,609,684,297,716,192,770,657) ( 28,513,608,236,305,324,170,630,670,559, 67,161,673,353,708,472,763, 741)( 29,355,400,470,203,746,140,509,496,228,585,314, 86,639,446,542, 375,143)( 30,635,418,554,207,158,113,341,484,452,567,734,112,527,440, 234,389,311)( 31, 47,411,414,218,214,130,117,481,480,564,566, 90,107, 443,430,374,367)( 32,579,398,106,219,438,122,369,479) ( 33,495,396,582,202,102,135,425,486,368,563, 34,103,415,442,206,382, 115)( 35,747,420,526,216,242,137,313,478,620,586,538, 95,163,421,346, 372,451)( 36,467,399,750,224,522,132,229,501,312,562,622,110,555,431, 150,365,339)( 38,383,395, 50,215,410,134,201,494,116,565,482, 88,583, 426, 94,387,423)( 39,159,393,358,204,466,119,733,504,508,580,230,109, 331,422,626,390,535)( 43,271,407,274,211,270,127,257,491,256,575,258, 99,275,435,262,379,255)( 46,131,397,498,200,578,118, 89,499,424,570, 370, 87, 51,439,402,386,199)( 48,243,417,330,198,634,138,537,487,144, 561,342, 92,471,427,738,392,507)( 53,327,394,638,222,550,123,145,477, 340,568,454, 91,751,448,514,384,227)( 54,551,403,162,197,354,120,453, 483,732,588,510,104,247,445,318,366,619)( 56,523,412,246,221,326,114, 621,502,536,571,146, 85,359,428,458,371,731)(141,337,344,456,455,735, 756,532,524,244,249,333,310,618,642,558,543,151)(142,617,362,540,459, 147,729,364,512,468,231,753,336,506,636,250,557,319)(148,449,343,736, 476,511,748,252,529,328,226,641,334,534,627,166,533,347) (155,253,351,260,463,259,743,280,519,272,239,277,323,254,631,278,547, 263)(160,225,361,316,450,623,754,560,515)(165,309,338,624,474,539, 739,168,505,356,232,473,315,730,644,530,552,235) ] ], [ 35, 3477225024, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PSL(2, 27)^2.(3 x Q_12)", [ "L", [ 2, 27 ], 2 ], [ ( 1,416,538, 3,192,553,703,194,329,709, 54,313,373, 48,733,372,160,738, 624,142,430,632,646,434,128,659,266,135,211,256,527,208,452,517,600, 459, 69,613,291, 73,109,299,577, 91,775,582,343,774,694,337,410,678) ( 2,444,548,647,182,133,715,278,331,205, 32,509,376,468,741,596,151, 66,641,282,437,100,663,574,119,771,274,359,214,676,505,404,454, 13, 612,543, 59,193,301,717,110,327,569, 35,761,386,356,746,680,141,402, 622)( 4,528,544,451,181,609,711, 82,333,289, 45, 89,383,580,735,764, 162,346,634,674,421,408,650, 14,136,547,255,191,217,704,530,320,457, 41,593,375, 76,753,288,157, 94,635,562,427,772,666,350,130,687,253, 415,202)( 5,388,552,731,176,161,710,642,310,429, 44,649,378,132,743, 260,163,206,620,506,432,464,657,602,123, 71,277,303,213, 88,523,572, 455,769,610,347, 74,697,281,409, 90, 19,584,539,759,190,357,718,698, 309,401, 34)( 6, 24,556,535,171,189,721,726,334,317, 37, 33,369,384, 748,736,148,150,626,618,422,436,660,658,126,127,267,275,219,200,508, 516,460,461,601,599, 67, 81,305,297,101,103,579,567,763,778,358,354, 690,673,393,398)( 7,780,554,339,186,693,701,418,314, 9, 52,537,367, 188,749,708,166,318,625, 30,425,380,664,742,120,155,262,639,198,424, 520,656,462,125,603,263, 79,221,284,521, 96,467,573,595,767, 78,361, 298,689, 85,411,566)( 8,164,542,619,170,441,716,670,322,121, 43,257, 387,216,732,512,152,458,629,590,431, 72,669,294,129, 99,271,583,203, 760,526,348,466,685,589,403, 62, 25,304,549, 87,187,581,707,782,330, 345, 46,677,365,412,734)( 10,640,534,423,184,665,714,138,323,261, 51, 201,368,524,740,456,153,598,627, 58,445,296,661, 98,131,575,259,779, 218,340,522,684,449,405,594, 11, 80,557,283,185,105,719,586,315,765, 50,341,382,692,729,400,146)( 12,472,545,591,179, 77,725,306,325, 93, 47,565,371,776,750,344,158,682,617,394,426, 16,668,546,115,183,273, 723,222,312,513, 40,453,377,608,739, 64,165,290,633, 86,439,576,651, 770,134,351,270,695,197,396,510)( 15,276,555,199,172,525,712,474,321, 597, 39, 61,389,300,745, 92,159,570,623,758,442,352,662,686,113,407, 258, 23,220,536,507,180,469,713,614,319, 65, 53,285,381,104,747,568, 147,766,638,338,438,688,645,406,118)( 17,108,551,563,175,777,722,362, 326,681, 29,397,370, 20,752,540,143,178,637,702,446,324,653, 42,117, 379,272,751,204,144,514,628,450,433,604,655, 70,137,295,269,107,215, 564,511,768,470,349,606,683, 57,417,286)( 18,696,533,395,174, 21,724, 558,311,177, 49,705,390,328,737, 36,145,374,636,730,428,156,654,630, 114,435,268,667,210,116,519,264,471,209,592,515, 68,473,293,605, 95, 75,585,287,773,106,355,578,679,757,414,342)( 22,360,550,675,169,413, 706, 26,332,541, 31,173,385,720,754,316,149, 38,621,366,440,744,652, 154,122,631,254,443,212,648,518,124,463,265,611,207, 60,529,292,465, 97,607,571, 63,781,302,353,102,691,561,399,762)( 27,248,559,227,195, 245,727,250,335,233, 55,229,391,244,755,232,167,234,643,226,447,240, 671,238,139,239,279,247,223,228,531,236,475,237,615,235, 83,249,307, 241,111,243,587,231,783,246,363,242,699,225,419,230)( 28,500,560,479, 196,497,728,502,336,485, 56,481,392,496,756,484,168,486,644,478,448, 492,672,490,140,491,280,499,224,480,532,488,476,489,616,487, 84,501, 308,493,112,495,588,483,784,498,364,494,700,477,420,482)(252,503), ( 1,211, 96,134,388,761,271,671, 16,155, 86, 78,382,229,265,643, 14, 547,110,414,381,705,259,587)( 2, 71,102,246,377,621,266,559, 26,407, 101,722,371,565,253,223, 12,127,108,778,383,649,268,167) ( 3,743,107,442,370,481,263,531, 25,687,104,302,374,341,273,615, 8, 463,112,190,373,313,256, 55)( 4, 43, 87,750,387,425,258,503, 11,519, 109,694,384,285,262,363, 21,603, 92,470,392,173,261,335) ( 5,267,111, 22,379, 89,274,391)( 6,491, 95,526,389,677,272,307, 10, 351,105,610,372,453,280,195, 9,323, 88, 50,367,733,275,447) ( 7,575, 85,218,376,117,276,783, 19,659,100,162,366, 61,270,251, 13, 631, 98,554,390,397,269,727)( 15, 99,106,386,369,257,279, 27) ( 17,715, 91,582,365,201,264,139, 24,771,103,666,380,145,254, 83, 18, 239, 97,638,378,537,278,419)( 20,295, 94,358,385,593,260,475, 28,183, 93,330,368, 33,255,755, 23,435, 90,498,375,509,277,699) ( 29,199,740,135,444,762,495,655,520,165,674, 76,298,234,349,637,602, 540,474,420,185,709,315,564)( 30, 59,746,247,433,622,490,543,530,417, 689,720,287,570,337,217,600,120,472,784,187,653,324,144) ( 31,731,751,443,426,482,487,515,529,697,692,300,290,346,357,609,596, 456,476,196,177,317,312, 32)( 34,479,739,527,445,678,496,291,514,361, 693,608,288,458,364,189,597,316,452, 56,171,737,331,424) ( 35,563,729,219,432,118,500,767,523,669,688,160,282, 66,354,245,601, 624,462,560,194,401,325,704)( 36,451,756,191,429,314,480, 39,507,753, 695,440,286,486,347,525,613,680,468,308,178,345,329,592) ( 37,311,732, 51,423,734,499,431,510,501,683,524,305,682,356,301,598, 344,469,616,176,457,336,172)( 38,339,749,611,428,454,504,179,513,333, 676, 48,283,738,359,441,594,484,459,532,193,681,328,284) ( 40,115,752,779,439,650,492,151,506, 81,690,244,293,626,350,553,614, 400,465,728,175,569,309,200)( 41,619,742,555,446,398,493,711,511,585, 673,216,292,122,360,777,607,652,464,168,170, 65,326,228) ( 42,535,754,415,437,706,483,571,505,221,684,132,304,766,355,665,604, 148,450, 84,186,233,321,620)( 44,143,730, 79,438,230,489,627,518,557, 698,412,297,710,343,581,589,204,460,140,192,765,327,648) ( 45,703,735,583,421,202,488,123,528,781,691,664,296,150,338, 77,606, 232,461,644,182,541,334,396)( 46,227,741,639,434,538,502,403,521,725, 679,580,281,206,348,133,612,764,467,672,184,149,310, 60) ( 47,647,744,163,422, 62,494,235,517,641,686,552,306,402,353,721,595, 568,449,224,180,121,332,760)( 49,591,736,471,448,174,485,319,508, 53, 675,748,303,430,342,497,599,512,473,700,188,289,318,340) ( 52,759,747,667,436,146,478, 67,522,249,685,636,294,542,362,413,605, 708,455,588,169,205,320,116)( 54,395,745,723,427,566,477,207,516,137, 696,776,299,654,352,161,590, 64,466,252,181,625,322,536) ( 57,214,236,125,640,770,551,670,408,157,702, 63,578,225,209,628,126, 556,782,411,661,716,147,562)( 58, 74,242,237,629,630,546,558,418,409, 717,707,567,561,197,208,124,136,780,775,663,660,156,142) ( 68,130,248,769,635,658,548,166,394, 73,718,231,573,617,210,544,138, 416,773,719,651,576,141,198)( 69,634,238,545,642,406,549,726,399,577, 701,203,572,113,220,768,131,668,772,159,646, 72,158,226) ( 70,550,250,405,633,714,539,586,393,213,712,119,584,757,215,656,128, 164,758, 75,662,240,153,618)( 80,774,243,657,632,154,534, 82,410,241, 713,623,574,533,222,404,129,724,763,579,645,212,152,114) ] ], [ 36, 6954450048, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PGammaL(2, 27) wreath Sym(2)", [ "L", [ 2, 27 ], 2 ], [ ( 1,264, 55,527,424,377,650,100,150,722,123,687,749,176,476,406,333, 17, 572, 35,359,438,237,649,296,142,638,121,771,747, 64,468,210,332,549, 586,595,339,494,225,257,307,506,620,373,762,103, 66,720,207,696,553, 194,616,395,501)( 2,628, 37,779,439, 69,664,212,164,554,138,603,731, 484,449,266,335,521,564,371,342,102,234,705,291,674,637,177,784,411, 81, 20,208, 52,555,446,601,647,492,141,274,139,519,732,372,454, 98, 318,717,571,679,357,186,252,397,305)( 3,488, 29,275,447,517,648,380, 146,106,122,715,739,680,469,182,336,409,585, 7,348, 46,247,425,293, 646,632,149,778,131, 71,748,204,472,546,334,605,563,483,337,270,251, 509,284,366,622, 93,766,719, 67,692,217,192,560,418,613) ( 4,376, 34,107,430,713,655,688,161,190,140,407,753, 8,460, 42,331, 437,573,651,352,158,246,117,295,730,624,457,770,327, 73,580,203,360, 550,250,593,283,478,617,261,783,523, 60,384,202,108,542,726,599,675, 497,169,280,419,529)( 5,292, 30,639,429,769,663, 72,160,218,136,547, 754,596,451,490,309,269,587,511,340,382,230, 89,290,702,627,681,777, 187, 84,412,221, 24,544, 54,611,423,489,645,268,167,526,116,379,734, 92,458,714,319,689,581,175,364,410,249)( 6, 96, 38,723,431,685,665, 184,168,414,137, 15,740, 36,471,434,321,661,576,147,358,130,239,733, 288,450,630,317,773,579, 63,356,214,248,537,306,590,619,485,757,271, 83,524,200,388,538,110,598,703,487,673,273,195,532,396,389) ( 9,768, 47, 79,440,209,668,548,166,610,115,491,729,260,475,518,312, 381,566, 91,346,718,235,677,301,170,644,401,781, 19, 68, 48,219,444, 545,670,604,143,498,113,267,755,512,452,378,314,101,570,707,347,690, 245,173,308,394,641)( 10,712, 39,695,441,181,672,408,165, 22,124, 43, 751,428,461,658,324,157,582,119,351,746,232,453,294,310,633,569,763, 355, 74,244,201,304,534,642,597,759,495, 57,272,223,528,536,390,594, 87,486,701,263,699,525,172,392,398,109)( 11,684, 49,191,448,405,669, 16,152, 50,135,435,741,652,464,154,330,129,575,735,344,466,238,313, 297,562,623,345,774,243, 61,300,198,640,541,782,607, 59,496,197,276, 559,530,592,367,482, 85,262,727,515,676,385,174,112,402,725) ( 12, 40, 51,443,433,657,660,156,162,134,127,743,736,456,462,322,325, 577,567,343,354,242,229,285,282,618,625,765,775, 75, 76,216,220,556, 558,614,591,479,477,253,279,531,508,368,370, 90, 94,710,711,683,693, 189,196,420,417, 25)( 13,656, 44,163,442,125,659,744,148,470,126,323, 745,568,455,350,326,241,565,287,338,634,233,761,299, 58,636,205,780, 551, 82,608,199,500,533,278,615,507,480,365,258,111,514,704,375,678, 105,178,728,403,697, 21,180, 56,415,445)( 14,320, 45,583,427,349,662, 240,145,302,114,631,737,764,467, 70,328,213,584,539,362,606,227,481, 281,254,643,513,760,383, 62,104,206,724,543,698,609,171,504,393,277, 27,516, 32,387,426, 97,654,716,151,694,133,183,756,400,473) ( 18,236, 33,303,422,629,653,772,159, 78,132,211,752,540,474,602,311, 493,561,259,363,522,228,369,286, 86,626,709,767,691, 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(115,786,785,557,460,432,437,414,158,188,235,694,486)(127,382,550,207, 728,709,411,454,563,682,260,506,722)(131,425,602,402,168,740,232,429, 366,626,445,439,154) ] ], [ 2, 19656, 0, "2", [ [ 6, 3 ], [ 8, 4 ], [ 12, 6 ], [ 24, 29 ] ], 1, "PGL(2, 3^3)", [ "L", [ 2, 27 ], 1 ], [ ( 1, 32,221,248,565,737,735)( 2,595,309,414,418,362,697) ( 3,527,671,668,776,746,426)( 4, 99,126,323,417,718,692) ( 5,269,143,583,135,157,622)( 6,234,387,284, 30,637,700) ( 7,342,792,428,709,357,310)( 8,523, 56,103,154,567,650) ( 9,115,522,439,621,498,690)( 10,552,456,787,351,703, 61) ( 11,448,134,699,509,624,133)( 12,296,345,119,202,618, 29) ( 13,325,458, 15,341,124,107)( 14,543,462,217,532,538,236) ( 16,717,653,712,506,220,407)( 17,674,508,683,778,765,206) ( 18,150, 58,424,158, 68,767)( 19,449, 60,382, 28,659,589) ( 20, 64,784,603,410,172,736)( 21,156,512,654,166, 67,796) ( 22,566,660,219,171,494,514)( 23,574,204,153,140,371,390) ( 24,606,704,721,386,302,102)( 25,793,445,478, 48,614, 78) ( 26,429,271,507,511,250,425)( 27,757,789,266,471, 55,188) ( 31,232,168,626,108,377,547)( 33,752,267,214,731, 69, 65) ( 34,136,331,484,105,672, 46)( 35,647, 47,814,553,254,179) ( 36,645,548,615,224,187,346)( 37,401,729,684,601,619,733) ( 38,636,687,117,587,147,164)( 39, 95,485,616,559,701, 54) ( 40,602,557,491,564,741, 75)( 41, 97,122,596, 77,580,292) ( 42, 72,524,111,222,585,149)( 43,577,725,211,299,533,518) ( 44,435,132,501,347,178,275)( 45, 80,338,722,554,249,487) ( 49,139,623,183,556,570,440)( 50,490,279, 59,125,695,727) ( 51,526,779,116,185,303,121)( 52,101,403,734,503,175, 81) ( 53,584,790,688,413,372, 98)( 57,430,152,420,682,209,783) ( 62,613,241,203,113,673,801)( 63,194,693,411,174,319,611) ( 66,489,239,151,180, 70,207)( 71,775,664,210,273,281, 86) ( 73,231,667,495, 87,486, 94)( 74,376,213,328,492,356,300) ( 76,769,720,305,597,762,591)( 79,137,252,288,381,461,324) ( 82,815,197,470,223,714,240)( 83,738,368,550,304,576,247) ( 84,402,707,751,772,389,313)( 85,258,610,513, 89,320,768) 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74,351,570,277,727,192,628,617,240,641,566,341, 412)( 3, 45,292, 40,640,125,586, 49,373,472,141,667,609,716,365, 30, 384, 14,179,734,222,305,324,168,766,704)( 4,530,400,189,816, 5,376, 217,751,159,176, 12,787, 89,777,755,372,254,226,433,363,297,773,447, 75,330)( 6,710,415, 37,621,764,644,410,448,105,232, 73,737,383,243, 35, 55, 59,187,562, 48,476,527,506,186, 26)( 7,650,625,349,342,194, 158,274,370,499, 85,490,325, 47,780,605,126,115, 93,611,616,592,442, 291,559, 63)( 8,701,707,261,382,746,443,754,500,260,756, 62,392,770, 508,326, 71,266,683,805,790,424,409,760,636,416)( 9,302, 94,369,355, 458, 61,321,533,337,574,133,518,620,450,398,718,420,602,331,590,736, 682,223,793,316)( 10, 53,456,765, 96,744,670,532,350,218,275,813,563, 114,795,357,394, 54,430, 83,551,624,367,388,512,354)( 11,722,603,697, 796,401,554,724, 82,411,567,267,117, 38,492,529,242,306,475,446,332, 417,139,794,193,681)( 13,526,598,455,665,278,810, 32,441,488,250,801, 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41,199,696,438,788,281,356,778,482,600,516,287,654,358, 580,542,293,248,791,626,136,440,678,560,711,307)( 42, 92,745,576,239, 95,741,285,338,679,156,318,378,623,204,738,513,732,364,449,680,772, 584,789,515,489)( 44,106,289,519,167, 69,511,161,814,459,635,579,811, 387,630,145,491, 66,180,599,343,709,627,282,340,269)( 51,296,784,431, 423,236,645,686,806,235,708,135,116,572, 80,188,208,322,360,247,638, 556,413,377,669,593)( 56,782, 81,451, 88,569,164,171,290,514,666,815, 573,323,405,715,419,465,329,549,151,483,528,502, 84,284) ( 57,776,473,421,379,259,523,207,361,471,461,366,118,726,231,543,150, 143,251,819,594,198,271,169,128,740)( 58,149,428,294,196,775,389,564, 663,648,757,713,233,202,211,436,552,215,268,588,283,422,521,759,444, 381)( 60,604,676,520,404,761,460,687, 87,753,522,494,739,225,467,216, 646,195,688,587,182,466,725,262,743, 70)( 64,427,134,406,474,547,286, 699,144,368,668,618,257,536,575,507,479,661,633,190,333,163,103,496, 197,181)( 90,565,703, 99,166,470,172,102,279,658,557,692,210,735,464, 393,432,684,639,808,220,591,336,339,622,221)(101,315,462,695,817,677, 170,525,109,335,550,509,397,408,300,763,359,606,320,227,308,112,585, 352,301,371)(162,328,652,480,374,691,174,698,439,252,733,785,595,429, 288,453,391,662,583,504,798,501,767,548,495,402) ] ], [ 3, 29484, 0, "2", [ [ 4, 2 ], [ 36, 20 ], [ 12, 6 ], [ 18, 1 ] ], 1, "PSigmaL(2, 3^3)", [ "L", [ 2, 27 ], 1 ], [ ( 1,632,555)( 2,234,282)( 3,537,776)( 4,660,413)( 5,526,387) ( 6,141,404)( 7,230,401)( 8,595,405)( 9,585,605)( 10,337,259) ( 11,105,102)( 12,542,194)( 13, 81,374)( 14,375, 47)( 15,783,748) ( 16,127,642)( 17,657,148)( 18,435,130)( 19,689,122)( 20,777,126) ( 21,147,578)( 22,205,138)( 23, 97,426)( 24,674,535)( 25, 43,185) ( 26,330, 52)( 27,534,685)( 28,312,720)( 29,597,241)( 30,623,692) ( 31,612,762)( 32,701,592)( 33,331,668)( 34,297,266)( 35,815,177) ( 36,640,740)( 37,242,770)( 38,464,495)( 39,221,447)( 40,603,455) ( 41,703,187)( 42,666,607)( 44, 58, 60)( 45,114,723)( 46, 65,422) ( 48,268,584)( 49,742,475)( 50,552,179)( 51,798,343)( 53,747,772) ( 54,300,617)( 55,249,810)( 56,342,371)( 57,619,429)( 59,225,548) ( 61,691,406)( 62,462,173)( 63,489,704)( 64,116,103)( 66,145,782) ( 67,226,653)( 68,323,450)( 69, 76,803)( 70,277,735)( 71,705,743) ( 72,315,220)( 73,738,536)( 74,439,432)( 75,557,151)( 77,206,731) ( 78,224,228)( 79,218,698)( 80,628,621)( 82,344,486)( 83,713,326) ( 84,356,417)( 85,678,366)( 86,246,457)( 87,373,695)( 88,757,469) ( 89,624,492)( 90,166,283)( 91,717,756)( 92,775,785)( 93,522,505) ( 94,380,355)( 95,159,647)( 96,250,208)( 98,310,212)( 99,590,107) (100,448,780)(101,572,715)(104,329,290)(106,248,576)(108,649,577) (109,734,120)(110,613,630)(111,129,261)(112,571,376)(113,403,582) (115,594,709)(117,301,436)(118,804,368)(119,162,561)(121,706,362) (123,255,183)(124,251,661)(125,189,480)(128,235,579)(131,154,615) (132,153,245)(133,407,408)(134,336,625)(135,764,434)(136,167,411) (137,658,320)(139,732,193)(140,560,170)(142,229,298)(143,767,467) (144,559,444)(146,263,802)(149,468,618)(150,746,514)(152,490,549) (155,758,568)(156,390,286)(157,430,367)(158,446,733)(160,730,629) (161,817,181)(163,317,307)(164,792,750)(165,779,644)(168,483,296) (169,696,665)(171,506,190)(172,795,500)(174,352,651)(176,479,788) (178,598,580)(180,614,509)(182,656,544)(184,503,664)(186,321,663) (188,567,721)(191,516,714)(192,755,202)(195,554,813)(196,606,482) (197,288,240)(198,739,787)(199,465,481)(200,309,768)(203,346,257) (204,385,302)(207,527,525)(209,648,231)(210,382,314)(211,233,700) (213,265,693)(215,793,494)(216,608,351)(217,686,602)(219,239,616) (222,538,727)(223,573,741)(227,794,575)(232,812,816)(236,531,610) (237,512,633)(238,699,587)(243,392,811)(244,264,256)(247,381,532) (252,759,519)(253,284,684)(254,262,550)(258,797,496)(260,416,427) (267,398,570)(269,507,716)(270,671,729)(271,308,410)(272,299,631) (273,276,295)(274,402,682)(275,400,369)(278,470,634)(279,627,365) (280,313,800)(281,600,574)(285,287,641)(289,437,420)(291,754,564) (293,652,508)(294,655,473)(303,421,348)(304,551,558)(305,440,744) (306,418,419)(311,395,541)(316,771,637)(318,484,604)(319,521,711) (322,393,818)(324,620,702)(325,498,601)(327,722,596)(328,358,524) (332,539,424)(333,394,622)(334,491,639)(335,680,784)(338,515,719) (339,414,347)(340,443,773)(341,438,546)(345,461,433)(349,611,388) (350,791,737)(353,493,728)(354,599,497)(357,789,504)(359,662,399) (360,726,724)(361,449,805)(363,681,428)(364,452,790)(370,781,675) (372,384,583)(377,799,581)(378,646,669)(379,518,808)(383,425,718) (386,635,745)(389,528,609)(391,708,643)(396,672,807)(397,589,679) (409,553,677)(412,445,563)(415,511,670)(423,683,645)(431,499,565) (441,529,543)(442,814,676)(451,774,466)(454,478,471)(456,487,763) (458,638,463)(459,659,694)(472,710,769)(474,697,688)(476,501,510) (477,690,796)(485,540,749)(488,650,593)(502,765,523)(513,545,751) (517,809,588)(520,801,752)(530,569,547)(533,760,687)(556,626,667) (566,636,586)(591,778,761)(654,806,725)(673,712,753)(707,736,766), ( 1,521,515,380,589,702,765,240,539)( 2,137,317,502,686,259,748,600, 741)( 3,115, 69,439, 72,215,799, 44,495)( 4,448,537,817,814,784, 19,705,794)( 5,676,200,401,227, 62,638,156,635)( 6,485,816,796, 655,241,491,533,542)( 7,277,775,315,406,632,182,571,466) ( 8, 10,349,407,628,311,665,285,556)( 9,572,745,454,403,631,612,490, 522)( 11,603, 97,576,367, 27,574,658,449)( 12,428,471,404,693,206, 564,412,583)( 13,694,268,395,462,350,650,157,489)( 14, 41,271,377, 372,606, 60,288,479)( 15,776,726,713,110,610,431,265,194) ( 16, 31,712,262, 70,467,801,742,373)( 17,257,682,639,150,468,158, 48, 195)( 18,160,546,171,618,408,720,809,677)( 20,473,552,501,764,118, 55,754,260)( 21,416, 82,812, 64, 94,312,461,193)( 22,803,256,652, 135,134,523,294,457)( 23,553,362,540,514,644,752,512,164) ( 24,811,357,661,488,420,423,207,582)( 25,659,699,551,216,208,548,464, 305)( 26,654,651, 59,604,520,342,221,493)( 28,703,252) ( 29,424,249,301,398,646,292,274, 46)( 30,447,287,411,627,516, 68, 38, 549)( 32,143, 86,579,733,212,319,353,773)( 33,333,782,749,737,696, 341,351,670)( 34,209,343,434,443,740,813,531,154)( 35,567,570,166, 565,602,629,729,772)( 36,732,266,184,476,379,624, 58,144) ( 37,360,756,679,536,140, 80,527,280)( 39,306,731,722, 49,498, 42,295, 761)( 40,123,689,806,344,338,152,560,446)( 43,684,202,418,795,225, 95,136,348)( 45,672,188, 81,680,238,142,178, 87)( 47,605,688, 76, 321,270,354,345,704)( 50,112,701,499,804,619,615,581,444) ( 51,378,594,243,494,663,673,230,383)( 52,308,766,721,329,421,550,614, 747)( 53,397, 61, 71,226,203,700, 56,296)( 54, 84, 92,113,586,800, 592,120,413)( 57,149,255,640,470,218,309,293,545)( 63,393,508,180, 584,486,261,432,199)( 65,532,777,198,510,168,291,316,690) ( 66,771,611,607,738,122,744,781,441)( 67,340,210,666,139,410,734,746, 442)( 73,405,807,645,186,191,214,429,161)( 74,177,580, 79,478,568, 196,597,736)( 75,538,492,791,810,223,438,500,770)( 77,121,381,779, 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14,344,404,227,224,271)( 15,374,356,803, 86, 64)( 16,670,467,742, 543,492)( 17,353,606,535,196, 94)( 18,264,324,590,297,640) ( 19,406,701,261, 44,556)( 20,635,575,421,313,376)( 21,688,424,314, 519,385)( 22,402,470,178,329,351)( 24,218,288,390,743,592) ( 25,270,449,407,642,739)( 26,692,143,567,555,205)( 29,552,403,359, 61,505)( 30,636,169,565, 59,603)( 31,448,796,146,521,719) ( 32,397,213,440,361,286)( 34,125,587,475,291,710)( 35,599,382,257, 310,797)( 36,370,459)( 37,150,126, 71,818,254)( 38,349, 80,817, 42, 210)( 39,572,238,439,585,231)( 40,433,444,119,766,483) ( 41,348,514,663,478,539)( 43,730,201,434,716,584)( 45,379,465,499, 410,649)( 46,222,341,375,212,573)( 47,115,568, 48,287,791) ( 49,135,725,517, 73,593)( 50,605,387,686,653,206)( 51,726,319,785, 736,352)( 52,214,340,268,597,367)( 53,428,761,283,255,704) ( 54,450,163,391,551,170)( 55,630,305,632,422,278)( 56,770,566,161, 109,591)( 57,124,332)( 58,530, 72,334,712,464)( 60,306,643, 79,395, 788)( 62,167,560,200,706,243)( 63, 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13,706,600,700,739, 35,663,196,430, 754,448, 14,582,413,286,129,200,683, 76,255,475)( 15,766,226,738,770, 17, 36,673,463,519,680,646,219,658,736,694,315,707,693,173,614) ( 16,759,185,513, 82,347,384,780, 43,551,412,183,656,435,778, 39,416, 380,753,274,427)( 18, 55,714,806,443,326,508,588,120,343,268,522,470, 434,720,290,411,560, 41,156,117)( 19,763,425,567, 80,449,341,654, 45, 275,249,634,459,789,364,395,805, 31,454,585,361)( 21,531,638,685,400, 110,179,497,138,675,757, 64,577,756,698,576,496,111,167,782,246) ( 22,190,554,140,800,221,376,328,660,285,590,528,523,233,250,515,342, 796,217,558,310)( 23,338,640,429,769,655,446,163,742,524, 33,748,287, 525,762,383,424,108,288,705,671)( 25,146,598,224,755,548,135,203, 60, 141,298,472,688, 34,724,349,248,471,201,483,556)( 26,247,136,351,191, 405,665,445, 99,469,686,344,197,241,100,777,550,371,144,421,697) ( 27,358,132, 63,204,312,571,107,539,101,293,574,391,262,612,775,521, 536,370, 90,815)( 28,218,589, 62,527,717,798,651,727,710,148,130,465, 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86,509,538,811,594,242,261,124,713, 623,237,743,345,127,681,195,507,272,175,666,452)( 91,149,563,311,118, 696,704,423,189,716,178,678,480,478,397,479,644,677,488,477,467) ( 92,372,781,639,553,145,689,532,277,353,501,232,324,284,624,745,670, 244,352,330,188)( 95,818,557,202,307,281,394,606,592,170,304,602,119, 212,457,500,308,772,464,301,245)( 96,350,565,633,258,332,125,482,289, 229,652,516,580,569,792,703,468,562,712,785,813)(112,357,674,193,133, 816,157,587,489,751,692,236,458,744,377,561,534,450,220,687,733) (131,765,774)(213,750,502)(270,417,382)(306,604,669)(495,741,616) ] ], [ 6, 634023936, 0, "2", [ [ 288, 1 ], [ 512, 1 ], [ 18, 1 ] ], 1, "3D(4, 2).3", [ "3D", 2, 1 ], [ ( 1,532,475,616,298,320,261,644,439,576,658,736,219,445,458,443,673,186, 161,719,270, 35,203,810)( 2, 80,180, 73,191,102,420,359,705,509,603, 528, 72,309,483,212,277, 89,159, 62,696, 48,118,466)( 3,604,481,434, 469,155, 16,602,645,519,305,171,154,807,158,140,795,659, 70,308, 78, 789,565,421)( 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70,243,792,702,473,387)( 71,279,515, 99,210,777,377) ( 73,207,786,124,264,780,582)( 75,599,296,355,363,209,277) ( 76,239,571,704,617,471,472)( 78,661,635,200,156,690,568) ( 79,499,619,276,680,497,273)( 82,330,470,131,597, 86,216) ( 83,561,707,265,113,592,329)( 87,158,767,519,677,488,516) ( 88, 93,423,344,398,755,367)( 91,574,738,115,465,466,796) ( 92,495,804,366,756,198,816)( 94,693,641,642,426,758,314) ( 95,254,658,575,622,559,231)( 97,224,427,386,474,618,500) (100,376,411,141,346,802,352)(101,268,262,464,600,636,375) (102,110,703,594,541,361,527)(103,676,819,735,305,154,109) (104,340,581,781,399,369,179)(105,807,359,812,164,351,722) (107,235,417,705,565,313,747)(114,569,724,272,537,763,601) (116,714,309,402,586,354,297)(117,197,285,393,566,692,764) (118,318,662,428,175,281,674)(119,548,524,326,717,440,450) (120,598,612,467,432,783,159)(122,261,298,468,237,560,146) (123,810,211,188,323,673,290)(125,611,605,186,681,544,556) (128,542,229,634,306,603,608)(129,212,585,356,357,818,372) (130,632,422,368,400,394,811)(132,445,737,698,573,195,343) (136,286,404,778,595,436,736)(139,644,347,193,706,511,557) (142,689,671,230,388,217,547)(143,685,501,152,507,729,699) (144,526,633,256,538,691,809)(147,789,743,220,543,801,226) (148,182,637,660,579,442,252)(155,284,638,283,647,806,324) (177,485,269,773,555,531,374)(184,814,648,206,438,255,373) (190,684,234,606,769,380,263)(201,607,550,748,208,364,455) (203,655,246,300,405,302,439)(223,338,790,409,490,317,549) (232,408,447,766,754,709,494)(233,429,413,384,397,345,407) (248,509,643,446,322,250,403)(257,788,552,381,734,646,682) (295,358,772,679,503,461,650)(312,749,768,410,695,700,727) (378,567,512,625,744,480,491)(379,817,482,457,554,588,800) (535,813,740,610,630,613,629) ] ], [ 2, 68880, 0, "2", [ [ 42, 19 ], [ 21, 1 ] ], 1, "PGL(2, 41)", [ "L", [ 2, 41 ], 1 ], [ ( 1, 2, 4, 8, 15, 28, 52, 93,162,268,410,567,597,721,734,487,447,312, 464,143,243, 13, 24, 45, 82,146,246,385,372,530,672,771,781,708,590, 450,319,220,145,211)( 3, 6, 12, 22, 41, 76,135,230,368,527,668,768, 786,762,713,526,667,758,805,661,749, 23, 43, 80,142,241,379,209,341, 501,650,422,463,617,735,558,183,305,457,610)( 5, 10, 19, 35, 65,116, 199,329,484,634,740,736, 55, 99,173,286,304,393,355,380,537,677,557, 691,394,428,584,421,575,702,654,719,790,798,756,651,513,367,509,361) ( 7, 14, 26, 48, 86,153,255,395,549,289,437,594,720,147,248,297,448, 73,130, 64,114,196,326,103,179,298,449, 98,171,200,331,488,622,739, 353,514,596, 51, 92, 44)( 9, 17, 32, 59,106,184,306, 57,102,177,294, 443,563, 60,108,187,172,285,433,589,715,242,381,539,678,133,227,363, 523,663,766,800,239,378,483,215,348,247,386,543)( 11, 21, 39, 72,128, 221,354,516,659,764,788,813,820,808,540,276,423,578, 36, 67,120,206, 337,495,113,194,105,182,303,190,317,468,620,737,801,347,508, 70,125, 216)( 16, 30, 56,100,119,205,261,254,178,296,446,602,425,581,705,785, 793, 94,164,272,416,538,129,223,358,517,640,131,225,360,521,662,718, 795,816,810,167,277,424,579)( 18, 34, 63,112,192,320,471,624,338,115, 198,328,482,633,750,699,165,274,420,332,490,639,630,369,263,404,560, 693,675,181,301,174,288,436,592,717,794,815,804,382)( 20, 37, 69,123, 212,344,505,224,359,519,571,458,611,731,799,411,531,674,441,598,351, 511,561,694,452,606,518,660,445,601, 89,138,235,374,534,619,430,588, 714,252)( 25, 47, 81,144,244,217,350,510,655,760,724,576,489,637,117, 201,333,491,641,503,554, 27, 50, 90,158,262,402,334,435,580,704,593, 701,754,728,455,608,722, 85,152)( 29, 54, 97,169,281,300,207,339,362, 478,631,747,346,390,545,330,486,635,751,726)( 31, 58,104,180,299,451, 605,548,550,336,494,645,755,321,473,626,744,121,208,340,499,202,228, 365,524,664,577,703,657,763,256,397,311,462,496,647,757,287,434,280) ( 33, 61,109, 38, 71,127,219,343,204,335,493,644,742,803,819,271,415, 570,233,373,532,284, 66,118,203,154, 46, 84,150,251,391,314,467,140, 238,377,536,676,679,773)( 40, 74,132, 68,122,210,342,502,323,477,616, 269,412,568,698,743,652,159,264,383,456,609,730,357,291,439,515,307, 459,612,587,712,792,669,770,403,559,257, 49, 88)( 42, 78,139,236,375, 535,632,748,784,688,636,753,316,124,214,293,442,599,723, 77,137,234, 226,349,498,541,681,520,273,418,278,426,583,707,392,546,685,776,812, 779)( 53, 95,166,275,406,193,322,475,628,533,149, 79,141,240,185,308, 460,613,732,752,791,603,727,697,646,695,197,327,481,470,623,741,759, 476,629,107,186,310,461,615)( 62,111,191,318,469,621,738,802,818,807, 769,398,552,504,653,245,384,400,555,408,565,237,126,218,352,512,656, 761,806,814,551,666,396,387, 83,148,188,313,465,507)( 75,134,229,366, 525,665,767,673,772,413,569,528,670,324,222,356,309,161,267,409,566, 696,782,417,572,638,729,709,789,687,302,454,370,522,614,480,266,407, 564,376)( 87,155,258,399,553,444,600,500,649,684,775,796,817,686,777, 809, 96,168,279,427,472, 91,160,265,405,562,101,176,292,440,282,429, 586,711,213,163,270,414,151,253)(110,175,290,438,595,671,680,774,811, 474,627,745,582,706,787,625,136,232,371,529,156,259,295,157,260,401, 556,689,778,797,585,710,492,643,725,573,700,783,683,658) (170,283,431,547,453,607,497,648,231,195,325,479,189,315,432,250,389, 544,364,249,388,485,345,506,542,682,765,746,733,419,574,690,780,466, 618,642,604,591,716,692), ( 1, 3, 7)( 2, 5, 11)( 4, 9, 18) ( 6, 13, 25)( 8, 16, 31)( 10, 20, 38)( 12, 23, 44)( 14, 27, 51) ( 15, 29, 55)( 17, 33, 62)( 19, 36, 68)( 21, 40, 75)( 22, 42, 79) ( 24, 46, 85)( 26, 49, 89)( 28, 53, 96)( 30, 57,103)( 32, 60, 47) ( 34, 64,115)( 35, 66,119)( 37, 70,126)( 39, 73,131)( 41, 77,138) ( 43, 81,145)( 45, 83,149)( 48, 87,156)( 50, 91,161)( 52, 94,165) ( 54, 98,172)( 56,101, 71)( 58,105,183)( 59,107,155)( 61,110,190) ( 63,113,195)( 65,117,202)( 67,121,209)( 69,124,215)( 72,129,196) ( 74,133,228)( 76,136,233)( 78,140,239)( 80,143, 92)( 82,147,249) ( 84,151,254)( 86,154,257)( 88,157,261)( 90,159,141)( 93,163,271) ( 95,167,278)( 97,170,111)( 99,174,289)(100,175,291)(102,178,297) (104,181,302)(106,185,309)(108,188,314)(109,189,316)(112,193,323) (114,197,235)(116,200,332)(118,204,336)(120,207,134)(122,211,234) (123,213,346)(125,217,351)(127,220,244)(128,222,357)(130,224,240) (132,226,362)(135,231,370)(137,229,367)(139,237,152)(142,242,382) (144,245,375)(146,247,387)(148,250,390)(150,252,393)(153,256,398) (158,263,384)(160,266,408)(162,269,413)(164,273,419)(166,276,179) (168,280,350)(169,282,430)(171,284,315)(173,287,435)(176,293,420) (177,295,445)(180,300,238)(182,304,456)(184,307,427)(186,311,463) (187,312,198)(191,319,470)(192,321,474)(194,324,478)(199,330,487) (201,334,492)(203,264,218)(205,335,286)(206,338,497)(208,296,447) (210,343,504)(212,345,507)(214,347,246)(216,349,354)(219,353,515) (221,355,464)(223,301,453)(225,361,457)(227,364,499)(230,369,281) (232,372,531)(236,376,356)(241,380,538)(243,383,541)(248,317,310) (251,392,547)(253,394,548)(255,396,484)(258,400,267)(259,326,480) (260,391,423)(262,403,388)(265,406,563)(268,411,473)(270,379,511) (272,417,285)(274,421,576)(275,422,577)(277,425,582)(279,428,585) (283,432,586)(288,426,414)(290,306,458)(292,441,305)(294,444,559) (298,450,604)(299,452,410)(303,455,523)(308,337,496)(313,466,619) (318,433,590)(320,472,553)(322,476,555)(325,348,509)(327,342,503) (328,483,610)(329,485,628)(331,489,638)(333,389,341)(339,498,609) (340,500,608)(344,477,630)(352,513,658)(358,518,365)(359,520,661) (360,522,601)(363,510,578)(366,526,536)(368,528,377)(371,468,378) (373,533,482)(374,475,575)(381,540,680)(385,542,683)(386,454,521) (395,550,685)(397,551,688)(399,554,407)(401,557,552)(402,558,692) (404,561,674)(405,514,595)(409,448,438)(412,567,665)(415,440,597) (416,571,696)(418,573,701)(424,580,486)(429,587,713)(431,493,437) (434,591,663)(436,593,719)(439,596,519)(442,581,461)(443,564,695) (446,603,728)(449,546,686)(451,471,625)(459,491,642)(460,614,467) (462,616,682)(465,529,671)(469,622,740)(479,490,640)(481,632,749) (488,636,494)(495,646,524)(501,651,678)(502,652,634)(505,654,759) (506,606,729)(508,544,684)(512,657,739)(516,598,722)(517,647,731) (525,666,717)(527,669,711)(530,673,672)(532,660,760)(534,675,698) (535,539,679)(537,589,607)(543,594,545)(549,687,704)(556,690,781) (560,641,565)(562,645,756)(566,697,773)(568,664,574)(569,699,621) (570,633,737)(572,639,744)(579,655,732)(583,708,788)(584,709,790) (588,715,707)(592,718,721)(599,724,797)(600,725,798)(602,726,637) (605,700,767)(611,644,754)(612,706,617)(613,733,787)(615,734,649) (618,736,741)(620,668,769)(623,742,804)(624,743,629)(626,676,631) (627,746,727)(635,752,643)(648,758,782)(650,745,770)(653,659,714) (656,762,808)(662,765,723)(667,747,693)(670,681,677)(689,779,750) (691,735,800)(694,771,774)(702,784,812)(703,776,738)(705,786,806) (710,791,751)(712,793,802)(716,764,809)(720,796,753)(730,757,766) (748,783,794)(755,772,778)(761,807,817)(768,810,818)(775,785,801) (777,813,816)(780,789,799)(792,814,795)(803,811,805)(815,819,820) ] ], [ 3, 1721606400, 1, "2", [ [ 90, 1 ], [ 729, 1 ] ], 1, "PSp(4, 3^2)", [ "B", [ 2, 9 ], 1 ], [ ( 1,373,206,492,411, 14,218,275,130, 99, 77,573,342,180,799, 50,113,778, 750,680)( 2,386,417,527,640,271,278,752,105,415,560,259,202,693, 65, 665,792,565,700,789)( 3,410,559, 67,485,323,501,401, 92,296,328,783, 48,756,315,658,493,595,158, 72)( 4,360, 88,217,216,282,646,212,167, 429,354,428,721,549,719,543,213,357,353,289)( 5,348,349,115,104,254, 696,626,154,241,782,598,483,396,470,265,724,225, 31,146) ( 6,397,762,341,686,303,346, 8, 18,625,594, 42,277,495,149,124,525, 95,235,651)( 7,399,729,787,502,310,122,572,156,797,478,119,512,135, 636,371,587,327,418,567)( 9,335,131,723,300,293,802,662,143, 33,690, 381,776,324,553,477, 28, 40,531,458)( 10,367,326,308,760,333, 62,446, 117,677,223,728,140,603,228,239,316,476,656,178)( 11,547,172,720,545, 740,209, 44, 78,425,743, 54,715,546,355,746,433,432,641,717) ( 12,469, 35,817,813,634,660,708,382,683,466,794,652,133,280,179,160, 614,505,420)( 13,707,710,222,364,161,450,298,620,526,273,694,139,320, 522,503,246,112, 43,618)( 15,786,538,579,188,536, 63,562,808,297,675, 465,337,494,440, 98,581,815,279,321)( 16, 47,240,398, 21,201,757,245, 739,627,409,539,481, 76,597,584,276,390,120,519)( 17,141,391,269,452, 682,628,435,272, 70,134,184,508,175,196,260, 85, 73,800,123) ( 19,306,767,442,726,384,400,638,473,237,609,405,274,596,110,422,557, 667,221,186)( 20,266, 81,256,262,809,227,472,766,795,270, 93,479,488, 207,128,818,725,467,674)( 22,744,359,645,361,171,748,288,214,431,215, 742,716,548,284,286,745,643,281,169)( 23,637,654,394,244, 86,669,137, 692,623, 32,423,507,325,530, 41,811,487,599,292)( 24,162,157,676,793, 520,564,412,500,684,142,177,340,751,607,253,770,804, 53,498) ( 25,533,230,765,451,229, 60,586,632,238,419,497,784,132,362,801,759, 159,336,604)( 26,685,304, 37,514,687,468,195,414,528,366,343, 46,176, 448,482,753,404,820, 51)( 27,490,695,138,136,455,610, 75, 84, 97,733, 83,657,601,775,589,796,236,108,203)( 29, 34,291,192, 79,779,173,619, 558,242,678,790,511, 89,317,563,205,602,738,705)( 30,644,642,170,164, 647, 64,165,283,430,285,358,714,550,648,427,166,210,713,544) ( 36,193,147,664,463,444,732,220,812, 96,351,736,144,489,805,114,402, 365,672,383)( 38,471,474,374,441,819,182,524,722,631,204,392,653,691, 712,462,621,569, 82,727)( 39,731,464,329,248,578,459,421,517,532,814, 460,781,689,224,639,126,540,116,309)( 45,103,436,185,561,439, 61,702, 226,100,111,252,486,688,788,529,189,523,509,491)( 49,334,107,699,387, 109, 57,312,375,408,571,617,510,389,661,624,701,706,145,749) ( 52,457,250,233,263,190,555,372,258,407,516,552,650,754,424,577,199, 434,633,764)( 55,605,608,416,537,352,583, 94,771,413,513,755,777,496, 255,153,268,635, 90,769)( 56,758,671,629,803,768,200,174,331,681,385, 612,780,395, 80,234,663,388,311,659)( 58,187,575,798,377,148,655,322, 541,290,447,344,484,129, 91,438,370,445,582,363)( 66,521,515,576,332, 606,314,243,247,294,338,318,506,600,347,772,150,376, 69,251) ( 68,287,718,542,426)( 71,593,622,534,774,698,305,118,613,679,709,302, 480,181,673,219,453,106,810,580)( 74,127,499,101,152,763,191,807,350, 295,155,197,208,319,570,670,301,231,379,703)( 87,554,267,369,615,566, 592,668,711,630,257,591,339,393,378,806,734,791,574,443) (102,588,449,773,261,437,454,313,264,816,368,194,697,461,163,330,406, 183,504,611)(121,551)(125,568,151,475,666,299,585,730,704,785,556, 761,616,518,535,735,380,249,345,232)(168,356,211,649,747)(198,590) (307,737)(403,456), ( 1,428,729, 24,333,312,408, 45,500,406,401,134, 766,694,544,197,543,212,734,210, 21,814,468,587,591, 97,448,273,308, 600,525,106,643, 38,763,326,773, 14,598,817)( 2,407,520,703,154, 65, 150,625,651,277,772,245, 90,707,485,246,555, 46,103,699,425,108,275, 507,301,315,454,321,413,722,645,631,727,124,557,113,189,374,608,110) ( 3,529, 26,489,372,148,548,181, 40,213,427,522,123,681,290,220,497, 818,387, 47,337,559,668,271,458,733, 18,311,160,784,760,561,486,200, 135,607,572,358,638,617)( 4,678,656,125,484,233,203,819,711,751, 50, 381,545, 15,775,214,541,605,809,376,759, 77,235,186, 33,515,491,287, 456,426,396,495,803,289, 64,753,679,391,648,300)( 5,627,292,223, 62, 477,434,482,195,629,519,799,650,696,736,185,571,474,528,296,224,701, 606,670,403, 35,416,307,603, 82,673,719,563,369,328,453,343,363,588, 568)( 6,298,219,644,704,556,805,674,130,147,138,284,665,675,581,173, 565,261, 30,614,153,466,562,756,554,375,429,297,226,121,257,771,237, 444,348,242, 55,352, 12,663)( 7,800,392,279,602,721,592,354,808,569, 334,661,378,737,231,244,518,346,174,778,613,285,412,104,120,757,480, 13, 68,259,460, 51,402,526,725,505,128,335,618,432)( 8,238,101,344, 184,632,262,313,314,662,639,483,241,724,345,204,531,523,272,455,536, 338, 28, 20,739,206,441,254,660,576, 63,194, 74,611,417,385,303,414, 658, 36)( 9, 99,748,501,527,390,702,537,433,450,695, 91,264,659,117, 234, 16,156,475,136,735,236,746,350,191,464,478,265,769,230,251,256, 161,690,623, 85,646,384,628,395)( 10, 89,447,796,744,797, 32,119,362, 87,179,595,472,718, 53, 19,512,709,622,540,322,597,132,430,747,642, 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632,668,705,743)( 4, 7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92,106, 121,137,154,172,191,211,232,254,277,301,326,352,379,407,436,466,497, 529,562,596,631,667,704,742,781,820)( 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91,105,120,136,153,171,190,210,231,253,276,300,325,351,378, 406,435,465,496,528,561,595,630,666,703,741,780,819,782) ( 9, 14, 20, 27, 35, 44, 54, 65, 77, 90,104,119,135,152,170,189,209, 230,252,275,299,324,350,377,405,434,464,495,527,560,594,629,665,702, 740,779,818,744,783)( 13, 19, 26, 34, 43, 53, 64, 76, 89,103,118,134, 151,169,188,208,229,251,274,298,323,349,376,404,433,463,494,526,559, 593,628,664,701,739,778,817,706,745,784)( 18, 25, 33, 42, 52, 63, 75, 88,102,117,133,150,168,187,207,228,250,273,297,322,348,375,403,432, 462,493,525,558,592,627,663,700,738,777,816,669,707,746,785) ( 24, 32, 41, 51, 62, 74, 87,101,116,132,149,167,186,206,227,249,272, 296,321,347,374,402,431,461,492,524,557,591,626,662,699,737,776,815, 633,670,708,747,786)( 31, 40, 50, 61, 73, 86,100,115,131,148,166,185, 205,226,248,271,295,320,346,373,401,430,460,491,523,556,590,625,661, 698,736,775,814,598,634,671,709,748,787)( 39, 49, 60, 72, 85, 99,114, 130,147,165,184,204,225,247,270,294,319,345,372,400,429,459,490,522, 555,589,624,660,697,735,774,813,564,599,635,672,710,749,788) ( 48, 59, 71, 84, 98,113,129,146,164,183,203,224,246,269,293,318,344, 371,399,428,458,489,521,554,588,623,659,696,734,773,812,531,565,600, 636,673,711,750,789)( 58, 70, 83, 97,112,128,145,163,182,202,223,245, 268,292,317,343,370,398,427,457,488,520,553,587,622,658,695,733,772, 811,499,532,566,601,637,674,712,751,790)( 69, 82, 96,111,127,144,162, 181,201,222,244,267,291,316,342,369,397,426,456,487,519,552,586,621, 657,694,732,771,810,468,500,533,567,602,638,675,713,752,791) ( 81, 95,110,126,143,161,180,200,221,243,266,290,315,341,368,396,425, 455,486,518,551,585,620,656,693,731,770,809,438,469,501,534,568,603, 639,676,714,753,792)( 94,109,125,142,160,179,199,220,242,265,289,314, 340,367,395,424,454,485,517,550,584,619,655,692,730,769,808,409,439, 470,502,535,569,604,640,677,715,754,793)(108,124,141,159,178,198,219, 241,264,288,313,339,366,394,423,453,484,516,549,583,618,654,691,729, 768,807,381,410,440,471,503,536,570,605,641,678,716,755,794) (123,140,158,177,197,218,240,263,287,312,338,365,393,422,452,483,515, 548,582,617,653,690,728,767,806,354,382,411,441,472,504,537,571,606, 642,679,717,756,795)(139,157,176,196,217,239,262,286,311,337,364,392, 421,451,482,514,547,581,616,652,689,727,766,805,328,355,383,412,442, 473,505,538,572,607,643,680,718,757,796)(156,175,195,216,238,261,285, 310,336,363,391,420,450,481,513,546,580,615,651,688,726,765,804,303, 329,356,384,413,443,474,506,539,573,608,644,681,719,758,797) (174,194,215,237,260,284,309,335,362,390,419,449,480,512,545,579,614, 650,687,725,764,803,279,304,330,357,385,414,444,475,507,540,574,609, 645,682,720,759,798)(193,214,236,259,283,308,334,361,389,418,448,479, 511,544,578,613,649,686,724,763,802,256,280,305,331,358,386,415,445, 476,508,541,575,610,646,683,721,760,799)(213,235,258,282,307,333,360, 388,417,447,478,510,543,577,612,648,685,723,762,801,234,257,281,306, 332,359,387,416,446,477,509,542,576,611,647,684,722,761,800), ( 1, 2, 4)( 3, 6, 7)( 5, 9, 11)( 8, 13, 16)( 12, 18, 22) ( 17, 24, 29)( 23, 31, 37)( 30, 39, 46)( 38, 48, 56)( 47, 58, 67) ( 57, 69, 79)( 68, 81, 92)( 80, 94,106)( 93,108,121)(107,123,137) (122,139,154)(138,156,172)(155,174,191)(173,193,211)(192,213,232) (212,234,254)(233,256,277)(255,279,301)(278,303,326)(302,328,352) (327,354,379)(353,381,407)(380,409,436)(408,438,466)(437,468,497) (467,499,529)(498,531,562)(530,564,596)(563,598,631)(597,633,667) (632,669,704)(668,706,742)(705,744,781)(743,782,820) ] ], [ 11, 33452526613163807108170062053440751665152000000000, 0, "2", [ [ 78, 1 ], [ 741, 1 ] ], 1, "Sym(41)", [ "A", 41, 1 ], [ ( 1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82, 91,101,111,122,133,145,157,170,183,197,211,226,241,257,273,290,307, 325,343,362,381,401,421)( 4, 6, 8, 11, 14, 18, 22, 27, 32, 38, 44, 51, 58, 66, 74, 83, 92,102,112,123,134,146,158,171,184,198,212,227, 242,258,274,291,308,326,344,363,382,402,422,443,442)( 9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59, 67, 75, 84, 93,103,113,124,135,147,159, 172,185,199,213,228,243,259,275,292,309,327,345,364,383,403,423,444, 464,463,484)( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68, 76, 85, 94,104, 114,125,136,148,160,173,186,200,214,229,244,260,276,293,310,328,346, 365,384,404,424,445,465,486,485,505,526)( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,105,115,126,137,149,161,174,187,201,215,230,245,261, 277,294,311,329,347,366,385,405,425,446,466,487,507,506,527,547,568) ( 36, 42, 48, 55, 62, 70, 78, 87, 96,106,116,127,138,150,162,175,188, 202,216,231,246,262,278,295,312,330,348,367,386,406,426,447,467,488, 508,529,528,548,569,589,610)( 49, 56, 63, 71, 79, 88, 97,107,117,128, 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406078744780800, 0, "2", [ [ 819, 1 ] ], 2, "PGammaL(4, 3^2)", [ "L", [ 4, 9 ], 1 ], [ ( 1,695,726,766,620)( 2,342,281, 44,631, 15,721,755,393, 79,275,177,472, 62,477,123,277,771,521,256,104,543,625,814,258, 6,678,579,632,741, 3,522,662, 91,567,366,403,176,139, 48)( 4,129,286,185,735,667, 96, 210,239,283,293,784,634, 35,711,534,465, 92,412,580,639,668,492,382, 560,117,190, 29,326,749,200, 64,626,160,815,163,330,114,796,511) ( 5,505,217,763,484,597,152,476,444, 32,205,598,424,288,564,623,315, 364,647,260, 74,422,111,487,498,638, 19,431,169, 73, 54,468,353, 43, 58,243,124, 69,108,460)( 7,181, 87,663,516, 55, 97,723,271,203,437, 699,253, 71,456,225,652,397,295,445,548,602,236,375,523,780,747,782, 704,161,299,420,112,689,401,798,670,166,140, 89)( 8,750,455,141,458) ( 9,242,501, 47,132,481,187,355,778,794,692, 95,392,218,362,504,302, 11,765,101,224,231,485,805,530,287,354, 39,252,759,687,767,202,769, 311,405,809,196, 66,684)( 10,508,497,470,324)( 12,409,157,459,791, 38,535, 36,583,425,544,474, 40,600,557,464,675, 76,250,106,289,441, 49,686,770,240,654,138,434,149,478, 33,400,656,525,440,193,343,513, 590)( 13,368,537,417,308,499,518,775,336,410,303,803, 21,297,348,416, 642,606,398,581,146,659,586,296,672,462,745,737,300,615,608,715,350, 660,312,592,572,335,569,321)( 14,788,779,306,698,369,736,365,612,127, 762,743,395,407,708, 56,381,292,305,377,162,423,168,669,406,421,529, 18,426,624,376,665,143,345,359,254,621,222,318, 16)( 17, 86, 30,649, 170,740,566,611,137,234,235,490,262,233,344, 65,589,212,115,502,790, 94,601,515,471,447,777,280,332,732,558,372,357, 52, 80,808,772,527, 520,679)( 20,370,752,333, 22, 26,510, 82,178,746,216,489,693,158,121, 550,688,367,742,446,325,144, 57,109,724,683, 28,206,347,438,133,645, 223,701, 98,655,244,279,413,661)( 23,571,379, 60,148, 31,220, 46, 70, 251,331,211,396,588,221,427,207,230,806,635,709,208,482,491, 78,246, 328,452,541,819,714,480,105,636,694,503,514,540,198, 24) ( 25,820,119,712,756,380,448,748,795,384,173,219,226,414,754,387,610, 272,605,807, 67, 51,776, 84,155,265,483,402,442,577,432,641,418,758, 546,320,373,643,599,419)( 27,574,555,479,533)( 34,428,273, 45,301, 512,787,269,697,524,628,248,542,135,781,793,449,633,644,609,174,584, 390,199,705,352,627,282,274,804,728,215,576,646,172,153,183,371,436, 167)( 37,744,651, 53,810)( 41,209,549,249,264,797,341,237,702, 50, 151, 93,716,194,650,116,710,604,102,257,488,435,664,238,186,539,554, 671,774,722,486,753,351,816,197,707,374,593,316,142)( 42, 61,466,383, 706)( 59,337,430,100,267,640,799,349,159,551,338,607,673,450,622,291, 783,582,433,195,768,653,313,363,415,241,500,616,284,629,630,204,322, 536,507,386,690,310,594,562)( 63,691, 81,103,658,391,802,378,666,327, 227,214,509,126,648,145,563,547,729, 77,719,553,358,751,786,637,164, 613,443,404,473,232,107,451,259,801,261,122,314,356)( 68,245,773,818, 113)( 72,717,346,463,531,147,811,680, 88,125,570,266,263, 90,334,182, 110,150,538,619,517,685,813,700,561,519,131,156,573,388,340,585,785, 731,475,738,469,439,399,184)( 75,329,229,614,817)( 83,270,467,587,760 )( 85,213,461,800,595)(118,493,761,603,429)(120,568,730,171,339) (128,201,496,317,285,596,552,565,617,154,591,188,268,812,677,408,192, 294,532,718,191,189,545,713,703,733,290,734,789,389,385,228,720,175, 134,725,495,696,180,323)(130,307,618,792,682,528,757,360) (136,727,304,179,276)(165,526,247,255,559)(278,575,457,361,764) (298,676,453,578,454)(319,394,739,657,681)(411,506,674,556,494), ( 1,814,566,443,114, 77,747, 80,599,312,755,127,580,781,314, 89,134, 330,480,155,303,183,440,527,789,620,508,344,110,346,432,673,779, 41, 724,145,340,655,368, 97,636,170, 26, 79,167, 57,235,557,478,768,474, 113)( 2, 58,135,357, 67,512,171,790,689,334,405,248,212, 86,500,727, 660,243,333,392,635,279,541,569,776,446,612,495,381,122,133,384,270, 162,202,670,468,431,249, 21,128, 37,252,206,234,100, 39,185,230,367, 355,560)( 3,119,757,232,618,345,518,221,690,709,291,649,130, 75,683, 275,713,190,436,716,147,321,764,693,336,658,148,704,153,283,807,483, 802,820,473,545,686, 29,623,587,520,219,169,685,225,358,266,498,681, 628,160,516)( 4,306,701,629, 92,564,208,331, 30,785,772,136,507,596, 373,393,484, 65,783,804,525,593,815,258,245,639,637,251,264,799,154, 385,576,449,678,588,315, 99,391,242,418, 76, 63,359,354,617,731,656, 379,771,470,733)( 5,503, 61,501,406,454,699,207,201, 34,738,131,226, 111,194,139,648,800,547,423,604,695,439,455,780,510,546,364,361,426, 323,497,180,143, 95,205,256,631,123,437,250,523,158,467,112,476,702, 555,511,493,294,611)( 6,813,643,667,627,253,462,805,810,387,363,514, 48, 31,688,741,290,411,209,352,116,641,407,419, 22,769,271,758,450, 195,463,671,698, 35,453, 16, 78,535,490,149,166,287,719,278,528, 47, 650, 71,433,398,680,638)( 7,544,351,181,726, 8,430,668,491,808,722, 193,404,749,189,469,265,442,561,746, 62,320,585,532, 93,550,714,240, 543,571, 42,394,257,579,735,389,445,172,142,126,725,692,376,198,220, 572,151, 13,350,365,326,634)( 9,669, 23,723, 36,632,730,237,734,721, 674, 46, 27,399,630,223,274,556,663,216, 85, 18,652,415,753,717,589, 140,621,338,197,186,651,386,425,600,213, 98,479, 69,816,778,106,533, 536,740,657,390,444,348,752,598)( 10,553,304,584,509,728,696,457,694, 515,118,763,475,293,765,472,517,284,646,177,732,349,141,262,798,601, 329,806,559,697,513,435,665,739,272,499,298,211,705,337,756,504,737, 794,700,107,582,456,526,459, 88, 87)( 11,797,534, 56,562,222,268,236, 438,775,575,672,204,366,259,302,173,615, 33,548,241,729,784,603, 32, 622,759,401,552,325,192,184,353,774,563,224,766,607,228,159,679,581, 52,117,288,736,370,642, 72,760,231, 73)( 12, 81,619,818,761,203,567, 745,708,486,371, 44,156,260,152,608,691,633,261, 49, 14,505,273, 66, 332,424,309,238, 43,506,614,400,606,396,233,157,647,313,540,653,477, 703,452,675,263,356,377,519,125,360,762,199)( 15,597,715,382,101,105, 375,410,791,645,718,374,458,146,305,301,662,565, 59,625,809,574,412, 710,310,530,684,554,605,793, 24,666,311,591,217,102,421,300,595,492, 748,269,586,573,342,422,163,383, 74,577,138,318)( 17,281,420,417,380, 529,464,434,292,165,466,488,687,164,592, 91,812,161,803,767,777,137, 121,108, 84,322,286, 94,409, 54,285, 90, 38,244,524,120,750,327,570, 414, 20,742,328,347, 70,267,129,558,103,168,711,413)( 19,661,254,471, 531, 40,214,200,335,626,150,175,482, 50,115,481,487,174,624,720,289, 397,542,578,706,178)( 25,179,609,654,460,296,372,176,819,770,280,786, 539,817,316,215,640,494,659,324,427,549,796,538,276,104) ( 28,109,502,676,403,644,144,461,795, 68,743,782,307,428,744,362,210, 773,388,282,801,239, 96,124,610,787,664,707,343, 83,489,246,613,429, 751,255,590,522,297, 55,339, 51,369,319,441,317,408,792,537, 64,196, 496)( 45,378,712,811,229,188,308,295,616,191,416,227,602) ( 60,485,187,299,277,447, 82,247,677,132,395,182,788,583,465,551,568, 754,682,521,402,448,218,451,341,594) ] ], [20, Factorial(820)/2,1,"2",[[819,1]],818, "Alt(820)", ["A",820, 1], "Alt"], [21, Factorial(820),0,"2",[[819, 1]],820, "Sym(820)", ["A",820, 1], "Sym"], [ 22, 3443212800, 0, "2", [ [ 90, 1 ], [ 729, 1 ] ], 1, "PSp(4, 3^2).2", [ "B", [ 2, 9 ], 1 ], [ ( 1,721, 10,469,111,660,674,179,677,267,141,604,531,254,264, 60,628,281, 608,722,451,139,566, 26)( 2,160,740, 49,540,533,557,820, 62,800,119, 133, 25,220, 12,702,233,491,188,324,178,770,481,129)( 3,483,548,142, 237,240,351,791,482,157,147,253,162,104,652,514, 76,361,699,659, 82, 495,127,354)( 4,318, 93,205,184,180,329,110, 43,259,317,597,814,743, 59,673,575,215,553, 24,804,230,777,644)( 5,817,511,335,105, 50,650, 447, 8,661,306,732, 67,547,477,375, 42,368,788,130,352,284,512,609) ( 6,785, 81,225,605,263,579,485,226,619,633,751,539, 79,731,305, 30, 685,541,563,369,708,408, 36)( 7,400,647,342,290,741, 97,594,505,813, 503,377,413,616,440,108,280,189,797,272, 95,452,561,599) ( 9,273,706,747,645,435,419,499,199,153,347,438,754,603,520,479,634, 602,132,187,755,442,736,247)( 11,149,596,643, 45,502,313,490,229,251, 760,807,775,611,191,238,197,136,688,581, 15,115,316,320) ( 13,776,275,429,784,325,304,387, 47,515, 69,239,580,404,724,428,630, 794,402,591,772,279,601,268)( 14,405,757, 55,719,206, 85,727,390,467, 243,629,780,372,617, 35,122,232,486,261,703,120,614, 70) ( 16,646,303, 72, 73,278,222,573,165,484,211,773, 61,476,675,470,730, 621,454,348,798,464,257,473)( 17,292, 52,200,455, 63,289,607,151,164, 525,106,330, 90,534,663,381,774,684,256,585,582,612,662) ( 18,459,796,758,224,319,586,595, 46,746,694,535,651,131,508,366,286, 32, 29,806,771,216,783,750)( 19,779,427,763,176, 54,815,494,282,382, 792,169, 86,328, 98,223,371,393,500,346,378,177,526, 77) ( 20,532,668,638,102,550,620,302,433,190,285,231,258,244,420,367,577, 83,301,658,768,551, 80,287)( 21,403,690,262,397,589,460,588,113,510, 717,450,622,288,488,357,748,492,766,669,641,689,345,423) ( 22,337,212,217,474,704)( 23,623,416,174,213,738,234,809,756,493,545, 701)( 27,334,163,298,156,399,600, 39,683,527,475,300) ( 28,193,802,546,678,154,158,687,448,564,516,235, 44,383, 92,411,698, 356, 74, 68,116,498,637,716)( 31,283,430,752,640,805,667,439,655,781, 552,249,146, 38,707,421,436,787,299,409, 87,812,343,415) ( 33,125,293,656, 57,277,518,496, 94,204,560,649, 78,789,414,816,519, 626,753,379,294,265,745,749)( 34,665,297,734,587, 64,364,769,209,711, 373,713)( 37, 66,543,487,203,326, 96,544,782,489,593,359,360,714,437, 341,170,340,536,610,478,723,186,615)( 40,528,338,424,705,555,214,322, 584, 51,311,412,182,639,542,137,811,590,765,504,202,480,389,269) ( 41,530,327,664,236,506, 75,744,274,167,407,657,426,700,219,810,759, 556,737,549,353,808,266,339)( 48,686,679,583,801,682,457,463,344,118, 332,242,578,181,425,725,790,333,388,168,653,201,458,762) ( 53,676,161,471,523,291,444,517,529,767,465,693,697, 56,150,497,140, 729,576,571,432,422,733,198)( 58,126,312,709,624,728,456,394,144,246, 681,537)( 65,625,569,735,171,636,558,468,521, 88,778,392,336,443,818, 309, 91,107,207,227,365,148,501,691)( 71,145,648,386,101,567,349,742, 172,370,449, 84,524,221,398,260,323,152,385,252,718,124,795,654) ( 89,538,210,720,218,391,173,761,574,114,572,715,472,250,396,670,764, 739,618,270,241,666,712,671)( 99,695,123,362,819,631,632,314,507,350, 613,185)(100,672,462,592)(103,559,255,395,461,196,295,565,308,418, 195,710,606,276,358,598,384,627,635,155,434,570,112,554) (109,175,509,374,680,799,410,406,166,363,271,793,321,696,248,466,307, 128,245,431,692,453,117,192)(121,183,445,562,376,134,228,642,380,441, 194,803)(135,310,726,568,401,417)(138,315)(143,786,331,522) (159,446,355,208,513,296), ( 1,615,412,426,617,572, 99,393, 87,351,377,530)( 2,186, 93, 11,725, 125, 72,416,142,744,806,239)( 3,517,133,719,398,205,597,274,146,148, 647,242)( 4,153,199,542,464, 69,713,436, 91,815,813,655) ( 5, 14,753,638, 17,677,341,248,673,664,693,566)( 6,670,139,323,404, 302,488,682,809, 73,758,594)( 7,596,695,228,555,654,807,138,765,524, 37,184)( 8,108, 47,380,796,798)( 9,580,564,427,336,649,603,141,218, 562,127,665)( 10,499,372,717,337,358,101,120,155,272,692,129) ( 12,805,578)( 13, 30,671,339,174,456,451,613,105,485,463,778) ( 15,392,128,700,502,307,788,759,640,318, 90,773)( 16,328,770, 77,491, 590,270,715,604,629,540,400)( 18,771,792,365,592,285,599,441,405,107, 760,495)( 19, 68,347,528,175, 67,119,438,478,679,147,418) ( 20,658,169, 55,780,277,135,345,262,537,489,642)( 21,406, 78,434,278, 172,680,334,439,521,332, 44)( 22, 48,279,196,625,490,161,217,414,718, 353,552)( 23,313,348,260,546,164)( 24,258,335,209,316,168) ( 25,394,532,459,696,620,346,573,493,579, 65, 49)( 26,123, 64,432,111, 802,588,787,662,311,333,816)( 27,762,470,714,731,314,282,518,494,241, 92,352)( 28,818,653,198,163,709,627,447,742,112,774,386) ( 29,122,761,503,349, 54,235,584,698,755,284,674)( 31,612,492,395,454, 496,255,607,672,568,728,550)( 32,160,750,652,808,286,296, 43,173,182, 126,367)( 33,327,411,424,777,614,741,265,350,420,633,433) ( 34, 98,267,609,306, 76)( 35,251,145)( 36,724,471,610, 57,461,134, 385, 66,194,421,361)( 38,732,481,149,466,723,102,545,465,355,180,509) ( 39,423,531,593,212,422)( 40,697,790,290,810,694,322,567,220,317,224, 187)( 41,257,261,703,200,227,820,374,397,151,131,764) ( 42,515, 70,229,659,452,779,675,357,486,413,391)( 45,576,159,589,244, 166)( 46,707,785)( 50,600,283,202,430,797,754,685,460, 88,623,691) ( 51,519,444,699,734,305,736,457, 58,324,178,243)( 52,686,445,415,726, 273,514,630,772,294,512,368)( 53,301,312,281,197,230,428,472,536,618, 183,162)( 56, 95,210,376,263,681)( 59, 97,381,628, 89,330,534,236, 103,720,702,195)( 60,158,342,641,259,733,727,446,401,252,644, 86) ( 61,233,462,484, 85,660,678,109,767,739,650,535)( 62, 96,118, 74,207, 121)( 63,382,222,150, 71,300)( 75,474,757,321, 94,473,716,557,651, 533,706,622)( 79,269,356,373,621,690,513,601,271,375,114,477) ( 80,215,569,389,226,293,363,211,543,554,549,303)( 81,636,666,817,315, 171,656,308,458,635,403,561)( 82,663,338,132,325,793,595,541,266,250, 701,776)( 83, 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688)(304,506,396,782,786,369,390,560,527,480,676,775)(371,747,553) (591,751,605) ] ], [ 23, 3443212800, 0, "2", [ [ 90, 1 ], [ 729, 1 ] ], 1, "PSp(4, 3^2).2", [ "B", [ 2, 9 ], 1 ], [ ( 1,420,447,366,336,561,619, 88,132,630,467,340,323,398,339,328,410,492, 315,820,332,728,331,288)( 2,806,296,749,633,300,386,725,257,494,738, 423,643, 34,396,280,516,408,665,210,525,587,354,470)( 3,392,372, 85, 627,422,177,186,695,429, 29,566, 13,719, 93, 21,221,676,279, 77,746, 500,819,150)( 4,334,403,127,646,645,710,507,108, 15,797,783,159,499, 641,552,268,382, 73,360,559, 56,165,638)( 5,752,651,198,791,154, 42, 146,656,130,316,139,295,157,510,546,720,183,358,312,188, 7,381,170) ( 6,387,541,575,440,318,291,463, 94, 11,472,182,200,547,133,591,471, 52,636,780,176, 14,567,580)( 8,669,229,508,640,103,329, 98,305, 49, 185,433,112,231,683,704,505,611, 59, 81,663,741, 50, 44) ( 9,818, 66,122,764,682,389,348,518,135,187,287,734,768,644,370,548, 278,400, 37,309,142,327,549)( 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61)( 35,791,477,514,227,568, 76,700,272,818,790,303,496, 53,559,482,717,214,829, 65,294,264) ( 36,298,467, 50,211,481, 79,207,278, 64,787,274,499,807,564,511,720, 562,830,703,301,815)( 40,820,471,311,206, 46, 66,468,282,209,800, 71, 497,285,557,801,709,504,836,558,308,699)( 42,501,488,572,221,713, 69, 816,268,296,786)(147,164,396,400,748,727)(168,744,379), ( 1,123, 55,634,600,786,835,744,291,145,780,611,165,793,429,740,465, 137,200,627,716,805,371,739,668,128,519,626, 78,787,661,730,436,143, 345,637,107,792,400,736,204,140,577,622,542,791,284,731) ( 2,152, 39,431,595,467,833,193,308,725,776,350,159,677,418,508,481, 79,178,656,701,457,375,333,695, 99,502,394, 69,207,662,556,448,549, 327,289, 93, 9,384, 40,228,604,554,825,541,298,290,760) ( 3,819, 48,315,609,757,814,164,300,435,769,466,166,184,424,711,486, 369,188,685,708,515,365, 72,671,650,498,452, 85,323,666, 92,444,404, 330,231,111,560,390,533,211,285,557, 13,529, 37,286,586) ( 4,645, 34,460,607,322,840,106,299,406,765,205,169,561,419,537,472, 282,180, 18,703, 51,373,594,670,824,512,307, 87,758,640,150,445,433, 334,492,108,183,395,707,225,372,565,680,534,501,278, 64) ( 5,442, 56,344,608, 90,821,396,301,232,778,553,158,532,414,276,470, 21,181, 47,721,602,351,826,686,302,522,771, 60,149,648,411,450,491, 340,202,105,705,399,359,217,691,563,506,539, 66,265,644) ( 6, 7, 36, 54,605,583,815,831,309,319,783,756,147,155,416,421,479, 485,195,192,714,718,370,362,681,679,505,510, 75, 62,642,643,440,462, 346,347,115, 96,386,388,214,227,575,564,535,530,269,267) ( 8,268, 35, 25,587, 32,837,599,293,841,773,292,174,764,408,160,474, 427,189,482,717,196,366,710,689,360,507,684, 70,497,655, 63,439,665, 324,463,114,328,405, 98,212,401,562,216,546,559,274,528) ( 10,413, 44,489,601,177,830,715,312,377,768,669,157,503,423, 73,468, 659,179,453,723,341,376,101,676,389,504,220, 82,555,651,527,443,288, 325, 28, 94, 38,402,591,206,836,570,303,551,762,263,151) ( 11,210, 53,576,593,525,820,280,296, 29,761, 31,170,590,409,827,483, 311,203,772,698,167,358,420,682,476,514,191, 76,700,660,353,449,694, 331,521,104, 67,381,649,208,459,578,332,550, 95,270,383) ( 12,500, 46, 83,584,641,817,454,317,348,782, 89,154,387,417,218,488, 572,187,540,704,283,354, 14,674, 41,518,597, 61,816,657,295,464,781, 321,173, 97,415,392,475,224,198,569,709,544,356,275,673) ( 15,471, 50,199,598,699,834,367,304,696,766,495,162, 68,410,653,469, 456,201,337,724,109,357,391,678,215,517,568, 71,526,646,266,441, 27, 326, 57,112,589,380,823,222,314,580,767,524,153,271,412) ( 16,239, 45,257,596,235,828,251,306,261,770,234,161,242,422,247,480, 253,190,250,712,254,364,246,683,244,509,249, 74,236,654,237,451,259, 335,260,103,241,393,243,219,256,567,245,538,240,277,238) ( 17, 65, 33,663,585,438,839,338,318,116,763,379,156,213,430,566,477, 543,182,279,702, 22,355, 43,692,592,496,829, 77,294,667,759,437,172, 329,434,102,473,398,185,221,720,573,361,536,675,273,499) ( 19,297, 58,779,582,148,822,425,305,493,775,176,163,706,428,363,478, 688,186,511,713, 80,352,652,672,447,520,336, 86, 91,647,382,446,230, 343,579,100,531,385,272,209, 24,558, 42,547,588,264,818) ( 20,790, 52,750,581,119,838,628,310,812,777,727,146,126,432,624,484, 804,197,743,697,138,374,623,687,795,516,742, 59,120,664,614,455,810, 342,753, 88,125,403,620,223,807,574,738,523,124,287,615) ( 23,732, 30,141,606,612,832,802,313,754,755,118,171,619,426,798,487, 746,175,134,722,631,368,797,690,737,494,133, 84,613,658,788,458,752, 320,144,113,618,397,794,226,749,552,129,548,617,281,789) ( 26,616, 49,808,603,728,813,135,316,638,774,785,168,735,407,131,490, 630,194,801,719,747,349,130,693,621,513,800, 81,729,639,121,461,636, 339,811,110,734,378,127,229,633,571,796,545,733,262,122) (117,142,635,629,803,806,748,726)(132,258,625,252,799,255,741,233) (136,809,632,745,784,139,751,610) ] ], [ 2, 78176755153939869305210274200729021751146846355456000000000000, 0, "4c", [ [ 56, 1 ], [ 784, 1 ] ], 1, 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194,389,523,463,326,165,399)( 60,414,261,314,664,760,263,420,116,306, 490,769,176,418,551,318,345,774,379,407,464,297,171,776) ( 62,791,242,836,659,209,280,507,104,712,491,363,192,737,526,811,329, 832,398,204,454,500,162,718, 85,356,250,749,642,789,271,826,108,219, 483,508,191,708,549,376,337,745,381,784,445,819,166,225, 77,501,249, 720,665,354,279,739, 91,799,474,827,195,215,541,521,336,716,404,349, 453,732,149,805, 68,820,253,227,657,499,278,710,114,364,482,740,178, 795,532,840,340,223,396,494,452,703,172,370, 76,733,236,807,648,818, 282,217,106,509,481,711,201,360,540,753,323,803,387,813,456,210,164, 515, 75,704,259,372,656,731,265,797, 97,828,485,218,193,505,539,724, 346,368,395,726,439,790,155,834, 79,211,251,517,655,702,288,362,105, 741,468,798,184,824,543,231,338,513,394,697,462,355,163,747) ( 65,153,254, 82,646,238,285,652, 93,277,478,102,190,476,537,202,331, 542,405,320,455,384,146,457)( 66,240,256,662,644,267,275,101,103,480, 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446,278,683,189,442,267,677)(179,436,284,688,182,444,266,668,197,456, 269,676) ] ], [ 3, 78176755153939869305210274200729021751146846355456000000000000, 0, "4c", [ [ 56, 1 ], [ 784, 1 ] ], 1, "Alt(29)^2.4", [ "A", 29, 2 ], [ ( 1,468,585,523,470,498,530,818,521,298,819,289,317,761,271,143,780,155, 127,200,163,417,203,569,415,464,576,734,452,373,740,655,371,624,640, 52,631,379, 49, 22,381,600)( 2, 33,602,378,484, 5,526,586,494,472, 817,550,296,500,269,839,782,300,123,287,172,765,184,134,432,174,562, 183,453,431,754,568,357,450,663,748,626,350, 44,660,400,629) ( 3, 62,601,233,478,208,535,325,512,704,828,115,302,790,285,694,757, 68,137,258,159,214,187,337,425,725,567, 96,447,808,749,684,351, 73, 659,255,623,205, 42,341,396,716, 16, 91,592,784,488,672,525, 64,514, 240,826,231,303,326,280,723,770, 97,128,809,169,678,177, 76,427,261, 565,212,448,344,744,713,364,102,650,806,633,669, 32, 80,398,252, 14, 207,593,320,483,701,538, 93,505,791,836,695,293, 65,282,259,768,213, 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2, 391,188,455,787, 97,634,175,599,157,545, 46,614,723,703,509,562, 81, 194,132,690,399,809,662, 92,309, 29,714,574,414,235,728,137,772,800, 356,644,114,807,694,569,511,296,818,321,318,305,549,783,521,467,482, 834, 3, 99,375,528,688,534,627,754,245,829,823,651,226,531,141, 13, 450,740,451,342,307,734,427,667,564,304, 80,106, 69,592,367,523,611, 584,516,465,373,169,461,180,679,794,780,771,635,268,126,603,561,269, 556,570,799,458,609,784,820,199,555,498,737,554,179,323,225,286,447, 440,364,108,417,590, 94,138, 98,219,782,256,329,497,682,215,257,275, 341,217,689,658,192,411,457,386,476,795,421,698,233,161, 79,434,335, 115,836,276,266, 65,665,802, 93,670,649,384,517,654,412,211,201,483, 362,142, 43,398,316,244,621, 56,524) ] ], [ 3, 594822480, 0, "2", [ [ 841, 1 ] ], 2, "PSigmaL(2, 29^2)", [ "L", [ 2, 841 ], 1 ], [ ( 1,689,593,478,537,358,197, 83,462,289, 19,322,818, 38,521,550,710,717, 185,780,642,250,465,810,529,766, 31,832,500, 34,108,444,804,511,416, 663,558,356,240, 99,467,791,348, 20,795,137,215,111,263, 9,591,442, 254,762,596, 84,342,701)( 2,172,335,608,166,209, 44,700,367,503,483, 316,114,760,698,294,284,623,759,815,308,150,822,207,837, 16,692,450, 156,221, 64,245,834,685,679, 96,241,805,665,259,633,520,178,257,321, 370,267,493,517,634,163,548, 94,674,302,788,733,592)( 3,272,736,155, 471,638,438, 82, 67,421,196,572,536,728,428,338,742,235,397,473,376, 618,176,292,177,205,441,755,735,489,334,437,456,829,474,275,553,194, 524, 81,578,635,359,190,484,828, 35,182,388,675,669, 63,170, 5,243, 720,515,705)( 4,789, 95,605,286,293,472,332,313,590,631,317, 91,452, 200,206, 11,181,787,786,261,361,157,561,402,354,542,136, 51,141,658, 486,364, 39,230,781, 7, 41,683,741,562,800,328,568, 98,629,228,436, 714,470,382,817,616,133,744,105,580,122)( 6, 80,567,793,811,835,307, 730,425,201,380,285,636,244, 8,464,371,278,785,530,821,513,203,657, 601,395,139,159,668,264,684,599,739,419,541,745,751,709,613, 72,502, 497,130,475,807,481,504,750,531,249,545, 76,455,575, 55,337, 85,519) ( 10, 90,688,559,816, 61,208,125,718,790,362,405,492,722,262, 69, 28, 614,749,571,583,128,360,393,226, 53,774,839,539,589, 48,248,188,836, 433,336,329,841,645,327,579,375,390,637,499,242,801,123,277,350,118, 32,304,174,495,628,586,482)( 12,271, 66,260, 37,142,116,237,134,754, 256,365,697,761,149, 57,413,324,414,703,214,711,193,557,690,410,162, 826, 54,372,394,432,523,802,152, 47,119,532,696,594,587,415, 75,227, 347,563,420, 13,763, 24,202,300,555,694,106,423,231,569) ( 14,389,399,702,403,597,251,639,279,510,398, 71,560,253,351, 15,131, 514,812,341,659,682,179,109,144,115,516, 93,648,518,713,723,164,687, 357,171,724,833,366,326,127,431, 50,195,480,775,132, 77,173, 60,386, 312,686,126,656,346,265,305)( 17,296,374,672,544,274,640, 87,806,732, 443,381,525,824,466,418,281,840, 26,644,653,758,102, 42,299,798,217, 97,303,220,276,333,813, 70,320,331, 78,627,198,494,725,747,461,345, 422,369,778,140,439,574,368,383, 89,440,664,617,771,809) ( 18,509,169,396,508,315,794,603,435,153,318,101,727,677,712,385,585, 298,527,814,757,117,408,355,604,252,400,704,797)( 21,501,167,222,738, 151,290,654,566,168,577,129, 27,707,363,392,175,512,838,270, 58,619, 543,314,630,287,158,373,218,291,606,488,180,779, 33,564,721,309,729, 124,266, 65,533,147,671,626,225,792,678, 46,353,216,448,573,330,661, 319,768)( 22,598,632,526,691,434,549,740,651,595,551,610,104,282,449, 673,454,306,236,734, 29,476,229,107,646,223,409,546,384,424,138,255, 273,588,842,699,258,288,297,496,827,427,643, 73,468,323,485,269,457, 412,615,799,120,767,154,349,803,753)( 23,507,584,232,505,112,535,743, 135,731, 45,506, 59,670, 86,148,625,581,460,479, 88,453,819,570,681, 641, 49,491,693,234,748,769,764, 79,451,146,831,556,387,600,611,666, 647,622,219,340,582,652,796,715,210, 40,165,552,283,268,621,301) ( 25,238,820,469,379,343,401,650,772,295,624,782,429,247,280,121,184, 352,378,377,783,447, 56,706,430,344,199,445,765,777,752,100,830,662, 528, 68,756,487,113,103,825,522, 36,770, 43,490, 92,655,407,145,609, 246,404,726, 52,143,695,213)( 30,649,192,212,311,406,339,310,187,161, 191,808,576,660,325,189,776,211,746,612,204,565,417,737,458,538,110, 186,540,823,463,183,224,498,708,547,233,554,426,607,719,477,784,676, 74, 62,446,602,411,680,773,667,620,391,459,160,239,534), ( 1,746,181,639,414,426,433,793,759,245,129,729,577,275,587,423,365, 404,228,141,749,249,266,838,370,439, 34,828,123,115)( 2,410,565,767, 527,763,113,544,615,723,552,546,671,232,811,116,731,392,177,212,314, 574, 75,679, 21, 60,751,617,256,683)( 3,296,628,841,510,279,452,134, 831,708, 66,366,534,584,824,585,191,795,596,508,590,336,393,489,612, 738,579,490,359,775)( 4,471,572,626,785,687,432,201,727,507,670,813, 681,327,318,388,411,543,787,664, 24,764,445,107,529, 65,791,250,220, 350)( 5,126,779,125,211, 12,226,217, 70,262,406,165,307,771, 52,385, 792,840, 83,254,431,323, 79,497,555,358,783,298,799,571) ( 6,536,624,528,273,776, 28,589,789,207,499,421,839,477,161, 20,308, 260,352,205,403,620, 68,208,592,319,654,511, 55, 27)( 7,535,752,653, 797, 9,160,259, 47,672, 46,469,443, 37,716, 67,656, 69,517, 73,691, 128,760,466,174,556,629,669,243,805)( 8,819,337,242,686,154,357,380, 616,827,118,300,719,650,281,614,286, 64,618,635,121,324, 78,149,817, 698,293,740,413,369)( 10,282,722,127,119,602,636,832,405, 87,651,597, 743,796,810,709,456,547,140,736, 63,240, 15,523,434, 35,457,492,428, 812)( 11,802,175,622,515, 56,225,782,144,468,741,291,390,470,166,251, 117,247,360,604,422,331,104,397,611,112,662,335,706,440) ( 13,754, 41,152, 61,537,493,593,124,807,210,425,652,238,481,486,460, 478,284,145,313,503,371,695,453,806, 80,394,684,809)( 14,798,642,178, 553,627,142,351, 81,348, 29,500,568,192,712,136,526,757,185,301,114, 26,338,334,244,570,820,409,501,382)( 16, 40,269, 77, 84,447,630,253, 530,436,551,631,179,353,277,520,376,646,699,668,688,101,147,213,367, 607,689,455,395, 33)( 17,111,199,131,483,159,694,330,476, 92,133,561, 502,643,549,701, 42,730,309,554,821,533,200,362,747,804,482, 48,734, 521)( 18,778,772,233,195, 98,645,693,274,389,316,658, 23,685,690,566, 379,697,108,416,400,381,364, 82,714,150,187,299,634,377) ( 19,102,473,788,420,803,606,235,246,167, 72,215,613,231, 96,459,438, 93,294,583,667, 89,441,222,198,120,189,707,303,608)( 22,354, 90,599, 633,297,598,539,317,702,448,509,329,710,356,196,625,474,321,454, 74, 773,781,451,236,322,637,704,715,122)( 25,446,326,143,315, 91,638, 30, 737,461,835,372,463,158,484,513,384,194, 88,770,745,676,156, 58,619, 829,325,488,647,302)( 31,822,610,514,591,666,739,663,285,387,769,836, 221,216,588,632,375,605,268,444, 57,680,186,146,575,713,176,257,765, 36)( 32,657,558,328,204,677,271,164,363,601,609,721,378,197, 53, 94, 292, 51,162,396,586,728,557,733,580,295,157, 54,109,398) ( 38,563,735,241,173,560,718,540,239,818,524,304,276,505,525,312,678, 475,506,717,219,415,429,660,430, 50,648,310,306,692)( 39,224,538,237, 320,332,531,641,815,234,155,834,280,808,532,349,267,374,814,673,193, 270,705,172,130,252,465,311,512,184)( 43,682,255,777,581,790,600,830, 833,703,171,762, 49,842,138,744,644,341,748,640,265,665,786,206,649, 180,427,780,437,373)( 44,550, 99,518,103,724,105,674,135,516,545,472, 342,623,755,391,163,542,361,498,479,340,209,290,345,496,458,464,548, 86)( 45,227,732,603,202,696,522,333,137,344,491,287,774,582,278,229, 467,442,305,168,218,794,417,223, 85,485,182,569,412,148) ( 59,450,487,766,449, 62,170,355,758,188,263,800,151,261, 97,419,700, 272,837,750,283,784,203,495,343,289,462,258,399,675)( 71,567,346, 95, 368,132,494,139,661,559,383,407,578,801,761)( 76,183,401,562,100,504, 768,386,408,169,594,655,541,435,153,402,711,621,825,424,816,418,573, 823,347,190,720,480,576,106)(110,264,248,742,564,595,339,753,756,214, 725,826,519,659,230)(288,726) ] ], [ 4, 594822480, 0, "2", [ [ 841, 1 ] ], 3, "PSL(2, 29^2).2_3", [ "L", [ 2, 841 ], 1 ], [ ( 1,271,270,300,306,342,474,466,143,668,253,650, 81,128,357,276,444,251, 312,153)( 2,671,629,541,750,754, 38,791, 82,199,181,591,537,416,643, 149,491,692,730,720)( 3,817,728,347,798,776,259,187,438, 85,395,691, 314,781,285,165,335,440,380,435)( 4,656,593, 94,244,428,658,421,797, 302,138,718,676,800,625,223,693,624,327,344)( 5,518,714,788,686,429, 409, 75,385,536, 13,322,775,842,743,340,809,669,401,274) ( 6,326,632,805, 90, 14,790,423,757,734,819,182,755,785,266,179,530, 422,475, 7)( 8, 29, 70, 99, 37,824,737,447,195,492,821,542,352,513, 297,432,561,389, 72,568)( 9, 49,504,744,564,489,137,458,751,196,372, 105,498,558,216,194, 78,698,490,256)( 10,443,392,126,387,227,662,268, 46,201,136,123,742,804,640,477, 51,652,480,116)( 11,602,653,833,160, 609,580,150,705,736,516,642,696,272,439,377,479,433, 34,514) ( 12,103, 95,675,167,832, 88,145,166,740,140,117,806,831,142,830,120, 410, 15,465)( 16,481,189,688,783,486,283,621,786,315,663, 25,506,570, 121,635,575,764,584,770)( 17, 74,673, 54,219,262,618,794,562,782,407, 24,538,281,607,295, 31,639,215,719)( 18,420, 84,265, 52,209,814,608, 442,154,418,810,141,612,113,796,822,220,426,289)( 19,309,569,553,524, 158,222,487,147,827,374,505,431,291,317,752,325,398,200, 39) ( 20,762,828,763, 59,543, 43,414,613,721, 69,495,681,235,277,238,446, 715,127,170)( 21,582,687,563,661,330,739,273,660,462,732,183,815,359, 812,726,707,162,685,801)( 22,507,501,213,820,260,405,339,648,672, 42, 205,645,452, 93,829,404, 40,813, 89)( 23,554,704,497,626,264,559,245, 600, 26,701,665,384,101,711,468,175,644,350,365)( 27,512,109,206,525, 341,406,139,399,346,733, 57,171, 63,483,192,203,257,604,802) ( 28,716,125,573,634,437,186,298, 80,288,221,250,792, 96,460,531,386, 552,703,756)( 30,394,169,450,583,555,234,185,823, 91,500,677,134,218, 202,836,151,225,689,313)( 32,282,371,623,535,430, 86,354,279,358,603, 540,261, 58, 98,363,226,373,301,777)( 33,598,565,307,773,617,753,761, 108,308,188,197,532,549,546,771,803,637, 45,412)( 35,533,606,130,747, 647,641,364,193,457,702,267,799,766,124,779,441,148,367,503) ( 36,152, 73,724,286,362,156,417,107,839,135,838,678,710,411, 87,236, 682,628,837)( 41,224,544,548, 44,741,638,292,811,456,243,795,252,526, 706,601,321,729,164,566)( 47,738,586,787,774,840,727,375,316,622,231, 155,723,488,232,567,217,614,476,320)( 48,334, 61,208,560,496,370,378, 463,615,180,767,697,246,294,178,324,508,679,528)( 50,556,454,674,464, 576,769,551,287,699,469,177,473,159,397,361,204,485,545,527) ( 53,445,241,408,780,402,351,461,610,713,595,345,104,585,596,376,511, 834,100,240)( 55,284,211, 64,436, 65,427,657,230,112,157,589,759,592, 239,332,522,106,144,413)( 56, 71,278,275,630,296,519,731, 66,577,210, 539,520,529,229,390,415,254,190,111)( 60,611,212,329,449,455,331, 76, 619,690,493,263,299,323,319,818,649,337,581,749)( 62,369,735,338,534, 83,651,778,163,571,133,129,578,633,304,269,636,722,712,631) ( 67,114,318,366,484,425,368,419,280,382,708,587,424,835,237,451, 79, 242,620,482)( 68,515,670,383,597,470,400,746,391,574,616,684,772,353, 683,521,305,557,588,826)( 77,509,198,760,825,207, 97,748,336,590,184, 403,290,119,646,547,745,459,789,343)( 92,448,765,494,115,655,191,478, 523,173,249,102,694,471,664,233,176,328,293,709)(110,700,132,381,255, 550,393,146,467,758,472,214,579,784,228,768,168,841,666,807) (118,396,499,453,594,680,356,605,725,303,654,258,349,808,172,627,333, 502,379,510)(122,659,247,599,667,248,174,355,816,360,793,434,348,572, 388,695,131,717,311,161)(310,517), ( 1, 22,481,764,290,662,839,791,283,833,319,114,620,586,710,253,420, 606,123,331, 17,594,301,547,603,838, 38,143,273,247,146,230,218,784, 526,251,348,505,716,257,343,789,264,567,571,414, 92,416,190,591,806, 589, 44,492,430,129,250,170, 21,614,472,510,100,680,545,509,350,195, 548,198, 58,521,375,294,323,235,655,592,485,733,788,821,239,776,645, 642,122,564,827, 37,515,755,248,182,463,371,150,675,840,360,832,711, 60,149,841,365,696,678,706,713,249,732,386,753,824,646,363,342,794, 767, 16,292,572,196,277,588,202, 88,737,274,661,138,284,229,152,479, 623,258,823,207, 87, 90,669,316,346,332,440, 83,370,601, 61,404,647, 66,460,437,835,724,811, 4,777,632,104,187,740,337,508,455,227, 31, 657, 15,330,169,325,746,117,634,493, 80,517,261,232,707,792,415,617, 367,562, 10,692,205,452,570,442,691,649,252,407,816,424, 75, 35,535, 269,219,336,494,566,765,217,156, 41,629,136,428,132,300, 67,192,231, 502, 18, 40,576,244,702,340,106,320,582,297,658,471,800,425,837, 65, 810,772,667,102,722,184,735,191,328,672,587, 91,441,256,541,296,743, 33,701,495,148,771,754,527,233,144,798,193,194,172,137,580,756,341, 734,739,752,178,311,744,130,758,768,786,418,366,659,648,712,762,552, 327,388, 27,608,475,520,747,631,793,676, 79,267,801,728,303, 25,686, 615,585,602,697,315,456,168,260,532,783,523,355,255, 23,621,163,139, 684,633, 32,639,595,447,654,773,665,699,395,751,638,338,185,555,719, 141,546,468,221,382,209,234,533,204,584,466,474, 14,115,831,627,225, 176,681,749, 81,748,379,787, 5,400,828,694,177,226,450, 95,519,534, 644,549,120,819,709,241,145,836, 63,742,419,206,376,427,781,529,482, 200,124,577,683,723,291, 89,538,536,409, 49,540, 8,384,175,457,333, 714,275, 57,279,445,161,668,504,458,210,385,489,796)( 2,551,286,814, 180,539,725, 50,435,559,525,189,826,312, 20,354,306,483, 13,381,664, 281,302,349,656,760, 93,687,641,477,142,700, 24,246, 28,431,812,688, 128,761,295,605,254,736,609,607,214, 12,422,462,568,179,103,663,616, 364,718,769, 97,726,403,240,309,158, 62,436,326,183,596,501,611,626, 208,695, 77,126,451,317,745,298,358,766,397,222,396,464,127, 78,518, 314,188,289,671,679,561, 99,612, 69, 94,763, 82,677,599,162,426,590, 118,807,507,394,750,446,480,372,491,698,550,506,271,512,461,164,140, 524,280, 48,790,622,362,613, 43,135,689,830,448,543,560,530,459,278, 842,417,344, 36,224,469,352,514,398,625,670,537,276,757,818,593,383, 433,497,486,779,727,359,377,387,173,401,834,125,393,406,411,804,389, 565,166,131,109,110,347,159, 70,618,391,374,155,650,444,270,402, 7, 604, 47,704,212,558,473,817,112,410,119,423,201,478,373,335,238,308, 720,345,674,487, 6,563,825,197,805,443, 59,569,263,285,643, 72,111, 236, 3,171,717,167,516,262,147, 86,380,579,651,809, 84, 34,610,268, 228,721,329,738, 51,496,454,703,575,693, 98,453,293,583,778,528,730, 353,438, 71, 42,628,223,652,511,186,399,820,134,815,288,488,272, 76, 690,637,808,405,116,199,513,368,299,334,421,310,708,685,237,498,741, 242,544,775,220,705,813,799,829,476,213,216, 96,322, 45,522,666,151, 74, 19,165,484, 29,408,215,101,557, 26,107,573, 11,287,378,351,803, 782,499,321,392,759,413, 54,432,439,467,449,780,304,154,243,434,313, 785,305,470,153,774,682,121, 55,390,630,266,318,581,181,503,500,369, 64,324,357,412,660,553,490, 68,822, 9,770,624,245,105,597,108,795, 636,600,465,203,635,673,531,282,133, 53,174,715,653,259,556,339,554, 113,729,211,731,574,578, 39,356,802, 46,429,640,797, 52,619,361, 85, 73,157, 56, 30,160,265,307,542,598) ] ], [ 5, 1189644960, 0, "2", [ [ 841, 1 ] ], 3, "PGammaL(2, 29^2)", [ "L", [ 2, 841 ], 1 ], [ ( 1,638,306,151,506,747,298, 40,619,594,757,413,665,713,624,410,130, 64, 374,570,336,399,743,176, 7,418, 16,316,309,221,623,382, 36,216, 48, 483,210,252, 49,318,166,235, 53,763,366,729,363,609,771,631,656,458, 671,838,636, 3,542,224,462, 25)( 2,466, 29,832,596,134,132,666,572, 494,447,529,645,670,225,617,209,174,721,419, 57,236,560,120,143,259, 610,428,194,304,117,607,269,499,608,717,501, 58,183,637,101,642,297, 119,667, 35,367,519,558,192,801,160,523,708,314,175, 12,470,324,102) ( 4,327,733,767, 8,303,689, 28, 9, 55, 21,575,276, 45,590,585, 41, 376, 50, 98,156,341,563,532,525,232,769,602,275,798,234,716,142,398, 280,291,601,630,393,782,593,705, 56,289,437,756,357,339,263,842,228, 178,243,690,128,674,536,254,533,452)( 5,165,817,502,241,487, 51,396, 352,840,435,347,543,649,800,131,222,728,294,335,703,614,509,785,127, 153,144,104,378,693,472,212,722,598,401,179,373,369,584,409,360,338, 566, 91,362,557,571,288,650,321, 97,377,582,744,592, 13,672,123,272, 162)( 6,325,658,432, 82,766, 52, 80,627,673,227,109,307,514,317,164, 802,492,249,803,328,279,537,415,333, 90,539,172,315,479,526,493,498, 643,177,680,427,669,521,125,755,111,772,524,390,381,196,440,605,773, 677,777, 99,495,356,189,464,223,547,112)( 10, 94,659,353,528,278, 70, 30,738,587,730,457,706,553,274,505,811,313,295,150, 33,331,686, 18, 660,448,253,700,515,138,814, 74,695,554,731,697,704,423, 20,655,438, 679,652,355,684,310,389, 84,576, 23,110,145,159,562,538,456,478,657, 579,732)( 11,833,200,115,426,135,434,445, 92,507,450,567,388, 75, 60, 726,806,439,354,197,830,108,147,555,293,758,446,823,520,527,403,198, 26,661,322,651,267,444,121,284,349,203,149,534,343,488,265, 87,736, 358, 71,387,810,255,214,302, 65,154,822,340)( 14, 42,277,662,137,715, 827,208,783,600,283,245,613,826,408,639,308,140,146,217,475,681,516, 709,698,100,430,821, 38,391,569,504,468,207,580,422,129,264,540,287, 793,535,271,719,246,626,425,211,124,718,603,786, 86,463,816,326, 79, 105,417,300)( 15,819,599,133,794,467,573,574,436,787,113,676,181,710, 688,404,273,122,180,126,364,459,612,518,635,375,477,788,692,774,395, 230,508,219, 78,256,799,406,190,420,218,727,682,809,759,484,260,620, 73, 96,654,407,299,735,691,385,184,790,237,226)( 17, 95,152,618,748, 531,261,760, 32,548,675,107, 54,588, 61,551,441,334,268, 68,290,742, 170,386,136,668,664,629,581,837,647,251,416,185,683,350,517,118,678, 402,583,103,481,633,723,818,500,836,329,641,835,188,489,741,186,485, 486,148,305,205)( 19,320,469,421,201,361,383,740,424,789,753,323,591, 510,491,215,286,247,616,461,116, 37, 72,195,762,168,622,204, 43, 85, 482,384,820,646, 83,239,813,213,296, 24,775,604,474, 88,653,625,628, 193,106,169,359,161,770,829,319,371,431,240,330, 47)( 22,807,780,465, 257,473,262,699,841, 46,182, 77,400,834,292,685,595, 89,471,828,640, 163,779,634,663,556,480,750,725,550,282,778,229,632,370,577,405, 31, 233,496,765,379, 67,453,433,606,797,752,429, 69,724,545,191, 93,739, 839,707,511,380,449)( 27,578,621,611,546,342,805,808,167,561,242,490, 443,530,337,720,754,301, 34,687,815,206,589,795,544,746,220,114,244, 285,476,564,202,171,345,768,825,250,761,552,199, 59,451,503, 39,412, 568,397,749,734,586,737,394,776,346, 44,442,155,312,522) ( 62,392,270,454,231,764,513,784,157, 66,831,559,565,745,348,597,311, 644,792,512,351,541,139,812,368,411,281,365,804,696,694,615,751,455, 414,248,158,238,711,701,258,372, 63, 76, 81,141,266,344,796,791,497, 702,781,460,549,173,714,824,648,332)(187,712), ( 1, 56,300,807,683,575,460,118,633,274,207,789,579,177, 65, 80,386, 711,497,549,129,483, 23,589,734,263,387,283,273,680,620,335,701,471, 542, 28,643,382, 58,716,648,563,564,687,365,405,101,758,741,725,626, 755,190, 8,199,484,292,824,651,707,202, 11,319,523,258,350,510,224, 143,759,747,305,638,696,569,185, 98,107,811,727,311,538,607,719,809, 768,540,164,360,673,142,546,158,404,221,503,742,624,582,459,649,205, 16,379,672,203,138,323,214,316,623,653,551,178,765,508,487,690, 85, 536,133,814,647,583,657,501,577,192,367,751,403,454,299,603, 22,317, 191,442,320, 91,271,309,457,336,749,652, 35,303,280,835,332,485, 17, 315, 12,132,794,737,831,131,149, 24,659,166,343,685,495,724,555,705, 598,464,594,715,641,739,778,384,171,600,262, 46,676,108,552,234,580, 414, 43,681, 72, 27,126,490,294,644,218,228,530,180,828,806,511,167, 419,358,183,488,110, 54,255,212,839,769,723,524,291,827, 7,410,160, 298,561,417,270,478,310,222,671, 31,418,486,366,236,256,518, 81, 9, 426,559,197,201,520,663,306,494,168,808,469,295,244, 25,792,467,308, 427,726,621,276, 41,275,699,482,782,145,799,179,378,364,752, 93,175, 293, 29,837,817,368,640,141,832)( 2, 68,474,615, 59,522,695,700,330, 220,733,235,140,631,584,325,176,596,783, 14,528,162, 99, 44,836, 21, 655,743, 6,157,388,361, 15,438,461,421,772,321,702, 60,661,346,446, 706,393,662,763, 73,150,348,628,515,154,774,124,249,431,698,674,102, 340,619,399,103,266, 45,375,740, 37,329,667,829,509,278,531,591,339, 605,296, 95,342, 70,688,281,376,504,762, 66,664, 67,529,745,479,326, 492,106,534,374,668,430,402,134, 82, 89,115,301, 13, 61,254,656,251, 4,216,506,392,689,135,137,215,784, 48,383,450,462,525,684,819,548, 277,412,571,634,646,713,206,312, 39,117,119,407,704,590, 38,250, 3, 440,842,193,241,795,139,165,172,120,694,666,428,722,562,148,604,770, 617,351,567,187,432,188,334,592,720,815,408,184,754,159,800,491,757, 505,565,818,587,267,429,767,217,356,721,209,830,151,697,477,756,152, 422,398,665, 5,130,322,100,581,468,748,104,181,333,434,703,390,650, 750,435,194,394,775,324,675,635,658,239,735,708, 97,248,353,441,233, 260,210,155, 92,568,240,313,500, 78,771,512,465,114, 19,363, 34,766, 396,401,574,195,481,622,186,252,543,539,466,744,451,616,170,812,286, 204,526,660,127,436,570, 50,810,284, 84,480,645,352,630,557,553) ( 10,801,627,288, 86,602,790,433,576, 53, 57,537,670,245,173,578,840, 18,730,610,678,223,425, 32,786,618,826,679,535,798, 94,686,247,269, 805,572,373,327,257, 42,841,200,144,608, 71,738,677, 87,585,290,268, 74,566, 26, 36,452,802,606,128,227,182,415,211,682,516, 20,544,146, 420,208,834,496, 83,712,318,357,455,381,502,632,498,391,541,372,601, 411,753, 88,437,230,105,123,265,359,302,122,242,781,237,611,764,261, 816,793,219,444,347,760,639,787,825,163,776,654, 63,779,232,493,797, 642,693,345,729, 62,519,595,439,513,449,282,121,560,169,406,609,588, 331, 76,545,443,473,780, 40,773,116, 51,424,717,238, 49,447,637,514, 472,354,593, 33,692, 96,550,112,423,736, 90,556,328,287,377,489,558, 785,369,285,147,156, 69,527,400,458,791,349,337,111, 30,586,746,838, 573,777,243, 52,389,445,272,804,612, 55,246, 64,341,470,371,355,338, 153,691,731,409,532,533,448,380,196,714,453,226,554,625,395,761,476, 416,823,813,709,833,362,507,231,613,125,547,599,385,710,174,189, 77, 517,307, 47,822,463,136,636,521,413,289,796,198,253,264,113,456,728, 279,259,225,803, 79,161,344,732,718, 75,297,109,314,614,397,821,213, 820,475,370,669,788,629,304,229) ] ], [6, Factorial(842)/2,1,"2",[[841,1]],840, "Alt(842)", ["A",842, 1], "Alt"], [7, Factorial(842),0,"2",[[841, 1]],842, "Sym(842)", ["A",842, 1], "Sym"]]; PRIMGRP[843]:= [[1, Factorial(843)/2,1,"2",[[842,1]],841, "Alt(843)", ["A",843, 1], "Alt"], [2, Factorial(843),0,"2",[[842, 1]],843, "Sym(843)", ["A",843, 1], "Sym"]]; PRIMGRP[844]:= [[1, Factorial(844)/2,1,"2",[[843,1]],842, "Alt(844)", ["A",844, 1], "Alt"], [2, Factorial(844),0,"2",[[843, 1]],844, "Sym(844)", ["A",844, 1], "Sym"]]; PRIMGRP[845]:= [[1, Factorial(845)/2,1,"2",[[844,1]],843, "Alt(845)", ["A",845, 1], "Alt"], [2, Factorial(845),0,"2",[[844, 1]],845, "Sym(845)", ["A",845, 1], "Sym"]]; PRIMGRP[846]:= [[1, Factorial(846)/2,1,"2",[[845,1]],844, "Alt(846)", ["A",846, 1], "Alt"], [2, Factorial(846),0,"2",[[845, 1]],846, "Sym(846)", ["A",846, 1], "Sym"]]; PRIMGRP[847]:= [[1, Factorial(847)/2,1,"2",[[846,1]],845, "Alt(847)", ["A",847, 1], "Alt"], [2, Factorial(847),0,"2",[[846, 1]],847, "Sym(847)", ["A",847, 1], "Sym"]]; PRIMGRP[848]:= [[1, Factorial(848)/2,1,"2",[[847,1]],846, "Alt(848)", ["A",848, 1], "Alt"], [2, Factorial(848),0,"2",[[847, 1]],848, "Sym(848)", ["A",848, 1], "Sym"]]; PRIMGRP[849]:= [[1, Factorial(849)/2,1,"2",[[848,1]],847, "Alt(849)", ["A",849, 1], "Alt"], [2, Factorial(849),0,"2",[[848, 1]],849, "Sym(849)", ["A",849, 1], "Sym"]]; PRIMGRP[850]:= [[1, Factorial(850)/2,1,"2",[[849,1]],848, "Alt(850)", ["A",850, 1], "Alt"], [2, Factorial(850),0,"2",[[849, 1]],850, "Sym(850)", ["A",850, 1], "Sym"]];