File: prim15.grp

package info (click to toggle)
gap4-gdat 4.2-2
links: PTS
area: non-free
in suites: woody
size: 78,948 kB
ctags: 10,624
sloc: ansic: 25,214; fortran: 12,279; ada: 6,377; asm: 4,623; cpp: 2,332; lisp: 910; cs: 503; ruby: 466; yacc: 284; tcl: 167; makefile: 51
file content (6076 lines) | stat: -rw-r--r-- 408,232 bytes
#############################################################################
##
#A  prim15.grp                 GAP group library             Heiko Theissen
#A                                                          John Dixon
#A                                                          Brian Mortimer
#A                                                          Charles Sims
##
#A  @(#)$Id: prim15.grp,v 1.1 2000/01/12 15:45:49 ahulpke Exp $
##
#Y  Copyright (C) 1999, School of Math.&Comp. Sci. University of St Andrews
##
##  This file contains part of the primitive groups library
##
Revision.prim15_grp:=
"@(#)$Id: prim15.grp,v 1.1 2000/01/12 15:45:49 ahulpke Exp $";

PRIMGRP[600]:=
[[1,107460600,1,"2",[[599,1]],2,"L2,599 on projective points.1",
["L",[2,599],1],
[(3,599,597,595,593,591,589,587,585,583,581,579,577,575,573,571,569,567,565,
563,561,559,557,555,553,551,549,547,545,543,541,539,537,535,533,531,529,
527,525,523,521,519,517,515,513,511,509,507,505,503,501,499,497,495,493,
491,489,487,485,483,481,479,477,475,473,471,469,467,465,463,461,459,457,
455,453,451,449,447,445,443,441,439,437,435,433,431,429,427,425,423,421,
419,417,415,413,411,409,407,405,403,401,399,397,395,393,391,389,387,385,
383,381,379,377,375,373,371,369,367,365,363,361,359,357,355,353,351,349,
347,345,343,341,339,337,335,333,331,329,327,325,323,321,319,317,315,313,
311,309,307,305,303,301,299,297,295,293,291,289,287,285,283,281,279,277,
275,273,271,269,267,265,263,261,259,257,255,253,251,249,247,245,243,241,
239,237,235,233,231,229,227,225,223,221,219,217,215,213,211,209,207,205,
203,201,199,197,195,193,191,189,187,185,183,181,179,177,175,173,171,169,
167,165,163,161,159,157,155,153,151,149,147,145,143,141,139,137,135,133,
131,129,127,125,123,121,119,117,115,113,111,109,107,105,103,101,99,97,
95,93,91,89,87,85,83,81,79,77,75,73,71,69,67,65,63,61,
59,57,55,53,51,49,47,45,43,41,39,37,35,33,31,29,27,25,
23,21,19,17,15,13,11,9,7,5)(4,600,598,596,594,592,590,588,
586,584,582,580,578,576,574,572,570,568,566,564,562,560,558,556,554,552,
550,548,546,544,542,540,538,536,534,532,530,528,526,524,522,520,518,516,
514,512,510,508,506,504,502,500,498,496,494,492,490,488,486,484,482,480,
478,476,474,472,470,468,466,464,462,460,458,456,454,452,450,448,446,444,
442,440,438,436,434,432,430,428,426,424,422,420,418,416,414,412,410,408,
406,404,402,400,398,396,394,392,390,388,386,384,382,380,378,376,374,372,
370,368,366,364,362,360,358,356,354,352,350,348,346,344,342,340,338,336,
334,332,330,328,326,324,322,320,318,316,314,312,310,308,306,304,302,300,
298,296,294,292,290,288,286,284,282,280,278,276,274,272,270,268,266,264,
262,260,258,256,254,252,250,248,246,244,242,240,238,236,234,232,230,228,
226,224,222,220,218,216,214,212,210,208,206,204,202,200,198,196,194,192,
190,188,186,184,182,180,178,176,174,172,170,168,166,164,162,160,158,156,
154,152,150,148,146,144,142,140,138,136,134,132,130,128,126,124,122,120,
118,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,
82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,
46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,
10,8,6),(1,2,302)(3,40,564)(4,114,489)(5,32,570)
(6,573,28)(7,236,364)(8,170,429)(9,192,406)(10,189,408)
(11,286,310)(12,419,176)(13,375,219)(14,542,51)(15,431,161)
(16,55,536)(17,492,98)(18,468,121)(19,292,296)(20,135,452)
(21,270,316)(22,504,81)(23,117,467)(24,556,27)(25,370,212)
(26,178,403)(29,360,218)(30,454,123)(31,598,576)(33,433,141)
(34,572,599)(35,482,90)(36,362,209)(37,166,404)(38,113,456)
(39,213,355)(41,261,305)(42,289,276)(43,359,205)(44,461,102)
(45,430,132)(46,49,512)(47,235,325)(48,580,577)(50,257,300)
(52,417,138)(53,204,350)(54,172,381)(56,273,278)(57,129,421)
(58,153,396)(59,477,71)(60,225,322)(61,435,111)(62,590,553)
(63,416,128)(64,263,280)(65,275,267)(66,330,211)(67,269,271)
(68,549,588)(69,301,237)(70,163,374)(72,453,82)(73,427,107)
(74,222,311)(75,145,387)(76,366,165)(77,224,306)(78,197,332)
(79,108,420)(80,394,133)(83,256,268)(84,109,414)(85,365,157)
(86,194,327)(87,353,167)(88,401,118)(89,285,233)(91,314,202)
(92,555,558)(93,158,356)(94,287,226)(95,372,140)(96,320,191)
(97,246,264)(99,384,124)(100,582,523)(101,193,313)(103,155,349)
(104,357,146)(105,377,125)(106,339,162)(110,338,159)(112,587,506)
(115,490,600)(116,147,344)(119,181,307)(120,142,345)(122,569,514)
(126,231,250)(127,545,533)(130,321,156)(131,262,214)(134,164,309)
(136,586,483)(137,487,581)(139,216,252)(143,560,502)(144,281,182)
(148,491,566)(149,215,243)(150,574,481)(151,532,522)(152,469,584)
(154,195,258)(160,241,206)(168,253,186)(169,543,493)(171,571,463)
(173,589,443)(174,559,472)(175,434,596)(177,531,497)(179,221,207)
(180,228,199)(183,475,547)(184,496,525)(185,592,428)(187,552,466)
(188,541,476)(190,495,520)(196,415,594)(198,412,595)(200,438,567)
(201,426,578)(203,516,486)(208,451,546)(210,524,471)(217,459,529)
(220,505,480)(223,432,550)(227,499,479)(229,591,385)(230,441,534)
(232,509,464)(234,579,392)(238,528,439)(239,519,447)(240,368,597)
(242,568,395)(244,575,386)(245,561,399)(247,500,458)(248,446,511)
(249,391,565)(251,517,437)(254,400,551)(255,449,501)(259,462,484)
(260,457,488)(265,498,442)(266,494,445)(272,407,526)(274,538,393)
(277,410,518)(279,369,557)(282,379,544)(283,474,448)(284,508,413)
(288,334,583)(290,513,402)(291,411,503)(293,382,530)(294,318,593)
(295,440,470)(297,423,485)(298,380,527)(299,343,563)(303,535,367)
(304,347,554)(308,312,585)(315,562,328)(317,510,378)(319,515,371)
(323,460,422)(324,341,540)(326,331,548)(329,539,337)(333,335,537)
(336,348,521)(340,358,507)(342,473,390)(346,409,450)(351,436,418)
(352,388,465)(354,373,478)(361,389,455)(363,444,398)(376,424,405)
(383,425,397)]],
[2,214921200,0,"2",[[599,1]],3,"L2,599 on projective points.2",
["L",[2,599],1],
[(1,195,78,183,596,72,579,302,119,123,68,50,286,486,465,373,542,276,202,
433,269,546,157,211,315,520,377,600,108,448,376,188,483,427,104,201,182,
102,497,460,423,220,140,121,218,493,437,134,544,472,214,320,543,400,7,
111,165,374,53,487,120,46,378,547,455,434,36,272,254,199,203,20,341,
250,324,139,244,127,2,170,241,9,382,413,401,393,268,348,512,148,90,
40,422,529,451,204,597,424,19,386,385,35,238,351,153,390,245,333,491,
578,142,554,247,230,321,453,346,359,404,82,379,83,105,555,198,213,149,
172,274,74,85,38,356,383,205,280,539,337,107,91,480,13,3,163,112,
158,147,533,197,584,143,557,420,575,246,171,515,482,265,294,582,224,593,
128,289,176,65,45,521,580,130,193,136,406,60,369,335,89,592,506,67,
61,470,439,558,56,80,162,426,161,494,160,242,266,362,481,450,261,255,
414,328,233,585,551,262,514,186,129,192,340,399,277,257,146,33,194,327,
98,338,28,57,438,405,151,76,345,500,363,179,336,125,387,175,164,210,
159,319,309,440,231,215,583,381,42,117,537,564,284,237,248,48,150,173,
109,124,365,217,239,541,240,516,561,574,467,599,92,75,366,180,342,429,
587,77,530,169,569,84,287,535,534,303,496,323,118,469,391,498,282,232,
174,408,572,54,527,519,507,538,313,81,152)(4,144,571,307,568,523,331,
208,252,353,22,219,594,301,528,187,290,288,566,296,471,305,311,69,206,
209,251,308,281,293,222,525,350,444,96,367,556,510,407,524,343,62,126,
573,299,223,285,457,388,264,16,478,88,418,271,314,398,468,473,283,64,
380,503,312,73,156,297,235,479,495,550,267,43,454,145,419,488,459,94,
474,334,563,565,292,412,590,428,339,52,360,181,27,12,322,167,207,384,
526,212,304,66,216,368,552,106,256,18,110,394,536,115,155,598,310,295,
141,560,270,581,492,330,508,30,355,357,586,446,228,461,432,501,177,466,
279,55,370,425,441,87,25,166,249,10,417,540,258,39,447,452,522,8,
51,502,234,442,306,58,532,463,37,99,23,347,196,260,577,396,513,410,
364,553,226,476,570,395,100,29,41,14,71,113,116,253,11,17,449,26,
354,34,32,135,392,21,326,103,300,567,70,114,589,397,352,15,349,178,
318,122,154,576,435,59,225,436,278,273,372,138,403,31,317,95,415,464,
562,443,329,316,389,504,421,458,475,375,131,275,221,431,137,409,490,190,
371,298,63,595,133,332,518,559,243,93,236,509,411,86,229,79,361,402,
588,189,325,259,24,549,132,430,511,185,489,101,47,191,545,445,462,499,
416,531,6,591,477,358,456,505,227,5,291,517,184,548,49,44,484,97,
263,485,344,168,200),(1,208,149,442,290,554,582,71,598,506,326,514,25,
108,525,302,552,122,282,100,573,341,177,20,347,352,479,87,500,264,168,
407,267,569,446,513,393,338,391,392,55,271,364,44,46,80,228,89,250,
40,419,404,515,163,362,280,64,519,454,361,276,195,286,571,508,120,205,
30,379,429,542,265,516,321,600,226,244,423,336,457,22,594,4,323,340,
107,145,502,344,305,490,433,13,221,372,194,470,432,565,77,199,430,420,
206,377,248,553,129,462,56,346,523,249,363,394,283,233,371,414,268,556,
368,65,23,138,583,178,443,466,69,576,104,444,295,319,332,314,125,213,
487,531,354,181,510,156,296,152,399,426,176,591,388,70,536,254,564,574,
45,373,437,11,308,378,139,537,370,14,375,579,325,563,355,103,568,109,
9,196,216,175,307,172,471,486,484,390,548,96,110,557,447,260,413,570,
170,224,452,427,424,93,453,577,331,357,207,42,278,489,545,162,439,60,
358,253,448,230,498,438,339,387,193,313,586,467,478,102,403,27,38,517,
192,312,118,166,67,7,275,57,252,147,445,66,343,558,16,227,463,298,
148,174,526,52,412,81,78,53,281,335,533,92,245,58,546,395,409,555,
115,21,19,34,333,198,330,289,309,496,396,535,402,150,540,180,524,130,
491,135,566,366,127,197,494,68,132,460,529,539,251,567,435,117,512,329,
79,106,353,209,349,593,324,151,572,18,292,380,191,173,186,210,61,401,
527,436,39,62,327,520,367,482,440,137,547,237,91,134,272,222,111,142,
256,580,159,449,43,376,550,257,128,299,85,75,306,428,538,73,35,311,
133,284,492,72,15,200,161,3,360,398,165,182,501,509,483,48,169,82,
261,279,503,184,587,240,561,76,126,475,300,385,595,532,219,310,229,144,
51,584,441,225,143,342,588,101,86,465,255,416,277,425,459,461,141,234,
450,113,114,167,112,590,59,534,238,98,337,241,5,418,26,153,158,485,
328,164,530,405,223,383,551,203,578,397,480,589,179,597,505,434,521,549,
215,63,356,297,2,12,294,422,155,99,365,359,258,599,47,316,559,8,
231,212,421,473,37,121,220,50,562,131,417,381,263,382,33,369,345,154,
301,273,28,288,474,259,464,304,334,410,29,456,408,187,400,270,451,431,
560,320,386,303,287,36,522,262,6,10,317,183,24,411,389,291,575,157,
507,585,190,592,488,266,90,415,239,17,511,315,518,596,348,528,214,116,
94,481,322,188,495,499,243,581,469,218,202,119,185,543,74,54,235,105,
318,97,49,476,95,171,201,41,246,31,217,477,232,204,351,160,136,472,
123,242,124,88,374,541,455,285,384,468,32,84,293,274,497,544,189,458,
504,247,146,140,406,350,83,211,493)]],
[3,Factorial(600)/2,1,"2",[[599,1]],598,"A_n",["A",600,1],600],
[4,Factorial(600),0,"2",[[599,1]],600,"S_n",["A",600,1],600]];
PRIMGRP[601]:=
[[1,Factorial(601)/2,1,"2",[[600,1]],599,"A_n",["A",601,1],601],
[2,Factorial(601),0,"2",[[600,1]],601,"S_n",["A",601,1],601]];
PRIMGRP[602]:=
[[1,108540600,1,"2",[[601,1]],2,"L2,601 on projective points.1",
["L",[2,601],1],
[(3,601,599,597,595,593,591,589,587,585,583,581,579,577,575,573,571,569,567,
565,563,561,559,557,555,553,551,549,547,545,543,541,539,537,535,533,531,
529,527,525,523,521,519,517,515,513,511,509,507,505,503,501,499,497,495,
493,491,489,487,485,483,481,479,477,475,473,471,469,467,465,463,461,459,
457,455,453,451,449,447,445,443,441,439,437,435,433,431,429,427,425,423,
421,419,417,415,413,411,409,407,405,403,401,399,397,395,393,391,389,387,
385,383,381,379,377,375,373,371,369,367,365,363,361,359,357,355,353,351,
349,347,345,343,341,339,337,335,333,331,329,327,325,323,321,319,317,315,
313,311,309,307,305,303,301,299,297,295,293,291,289,287,285,283,281,279,
277,275,273,271,269,267,265,263,261,259,257,255,253,251,249,247,245,243,
241,239,237,235,233,231,229,227,225,223,221,219,217,215,213,211,209,207,
205,203,201,199,197,195,193,191,189,187,185,183,181,179,177,175,173,171,
169,167,165,163,161,159,157,155,153,151,149,147,145,143,141,139,137,135,
133,131,129,127,125,123,121,119,117,115,113,111,109,107,105,103,101,99,
97,95,93,91,89,87,85,83,81,79,77,75,73,71,69,67,65,63,
61,59,57,55,53,51,49,47,45,43,41,39,37,35,33,31,29,27,
25,23,21,19,17,15,13,11,9,7,5)(4,602,600,598,596,594,592,
590,588,586,584,582,580,578,576,574,572,570,568,566,564,562,560,558,556,
554,552,550,548,546,544,542,540,538,536,534,532,530,528,526,524,522,520,
518,516,514,512,510,508,506,504,502,500,498,496,494,492,490,488,486,484,
482,480,478,476,474,472,470,468,466,464,462,460,458,456,454,452,450,448,
446,444,442,440,438,436,434,432,430,428,426,424,422,420,418,416,414,412,
410,408,406,404,402,400,398,396,394,392,390,388,386,384,382,380,378,376,
374,372,370,368,366,364,362,360,358,356,354,352,350,348,346,344,342,340,
338,336,334,332,330,328,326,324,322,320,318,316,314,312,310,308,306,304,
302,300,298,296,294,292,290,288,286,284,282,280,278,276,274,272,270,268,
266,264,262,260,258,256,254,252,250,248,246,244,242,240,238,236,234,232,
230,228,226,224,222,220,218,216,214,212,210,208,206,204,202,200,198,196,
194,192,190,188,186,184,182,180,178,176,174,172,170,168,166,164,162,160,
158,156,154,152,150,148,146,144,142,140,138,136,134,132,130,128,126,124,
122,120,118,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,
86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,
50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,
14,12,10,8,6),(1,2,303)(3,471,135)(4,207,398)(5,571,33)
(6,40,563)(7,171,431)(8,389,212)(9,82,518)(10,376,223)
(11,521,77)(12,111,486)(13,316,280)(14,390,205)(15,501,93)
(16,227,366)(17,253,339)(18,51,540)(19,292,298)(20,142,447)
(21,368,220)(22,265,322)(23,457,129)(24,554,31)(25,526,58)
(26,42,541)(27,432,150)(28,427,154)(29,231,349)(30,543,36)
(32,184,393)(34,437,138)(35,601,573)(37,45,527)(38,256,315)
(39,263,307)(41,309,259)(43,566,600)(44,67,498)(46,327,236)
(47,317,245)(48,192,369)(49,124,436)(50,461,98)(52,582,575)
(53,117,439)(54,285,270)(55,109,445)(56,494,59)(57,421,131)
(60,433,116)(61,420,128)(62,104,443)(63,576,570)(64,158,387)
(65,564,580)(66,555,588)(68,199,342)(69,254,286)(70,162,377)
(71,423,115)(72,356,181)(73,235,301)(74,210,325)(75,346,188)
(76,329,204)(78,385,146)(79,561,569)(80,581,548)(81,337,191)
(83,331,195)(84,300,225)(85,595,529)(86,397,126)(87,374,148)
(88,524,597)(89,276,244)(90,247,272)(91,426,92)(94,338,177)
(95,357,157)(96,324,189)(97,360,152)(99,295,215)(100,358,151)
(101,405,103)(102,119,388)(105,591,513)(106,373,130)(107,214,288)
(108,539,562)(110,206,293)(112,550,547)(113,241,255)(114,160,335)
(118,348,143)(120,495,594)(121,134,354)(122,355,132)(123,224,262)
(125,165,319)(127,310,172)(133,193,283)(136,333,140)(137,198,274)
(139,302,168)(141,278,190)(144,153,312)(145,556,508)(147,196,266)
(149,583,477)(155,226,228)(156,211,242)(159,464,586)(161,497,551)
(163,502,544)(164,243,202)(166,261,182)(167,489,553)(169,572,468)
(170,482,557)(173,546,490)(174,579,456)(175,435,599)(176,194,239)
(178,234,197)(179,578,452)(180,515,514)(183,535,491)(185,549,475)
(186,545,478)(187,222,200)(201,505,503)(208,399,602)(209,520,480)
(213,422,574)(216,592,401)(217,598,394)(218,487,504)(219,448,542)
(221,528,460)(229,444,536)(230,596,383)(232,519,458)(233,500,476)
(237,414,558)(238,585,386)(240,379,590)(246,509,454)(248,506,455)
(249,511,449)(250,534,425)(251,484,474)(252,472,485)(257,375,577)
(258,488,463)(260,531,418)(264,407,538)(267,353,589)(268,512,429)
(269,525,415)(271,446,492)(273,470,466)(275,523,411)(277,530,402)
(279,560,370)(281,396,532)(282,510,417)(284,341,584)(287,441,481)
(289,559,361)(290,593,326)(291,350,568)(294,453,462)(296,479,434)
(297,565,347)(299,343,567)(304,467,438)(305,371,533)(306,522,381)
(308,314,587)(311,507,391)(313,400,496)(318,392,499)(320,352,537)
(321,552,336)(323,413,473)(328,465,416)(330,517,362)(332,408,469)
(334,359,516)(340,410,459)(344,382,483)(345,440,424)(351,365,493)
(363,442,404)(364,395,450)(367,412,430)(372,428,409)(378,380,451)
(384,419,406)]],
[2,217081200,0,"2",[[601,1]],3,"L2,601 on projective points.2",
["L",[2,601],1],
[(1,105,533,122,19,317,28,420,215,174,98,30,24,532,321,331,145,450,33,
322,176,557,400,401,124,399,16,169,431,464,61,192,45,255,15,261,213,
392,259,525,462,193,64,219,377,319,363,273,365,241,423,391,162,413,196,
253,140,217,449,433,298,380,548,172,396,564,46,511,495,127,204,91,148,
531,182,553,521,103,579,71,581,25,567,125,280,151,482,419,85,552,131,
83,329,89,299,152,283,480,513,175,328,545,220,543,544,387,168,22,311,
494,199,13,23,412,320,314,246,170,129,524,316,27,325,222,411,239,2,
499,50,484,487,178,373,110,211,230,570,471,212,417,135,483,371,344,194,
593,456,6,323,507,359,382,386,224,310,490,11,485,591,39,349,424,546,
486,334,264,389,309,258,537,376,272,284,203,566,301,470,539,154,123,225,
271,408,161,107,415,535,356,59,37,88,292,345,330,357,467,155,367,576,
232,267,469,430,547,81,505,262,104,468,508,47,516,582,596,312,158,526,
78,281,361,97,590,156,268,177,245,341,138,118,303,584,111,143,74,146,
381,20,385,452,337,366,394,139,384,113,438,434,153,422,500,70,5,503,
489,29,388,229,163,501,68,435,291,350,340,410,160,288,40,100,493,94,
448,592,369,149,248,128,289,106,597,327,137,523,497,62,293,442,269,69,
343,466,286,84,31,95,202,185,554,278,164,9,102,8,416,427,586,574,
393,254,57,279,130,326,87,277,518,147,228,598,569,48,404,453,44,504,
538,223,395,498,572,236,12,36,200,117,479,54,580,136,432,179,342,302,
218,318,210,561,379,251,306,463,414,403,243,265,519,92,235,171,429,589,
402,157,472,187,542,355,515,173,109,252,425,79,101,541,530,481,38,93,
565,383,134,26,126,42,602,165,512,208,364,290,465,227,144,308,332,108,
372,446,549,121,406,440,300,491,540,296,375,346,116,197,426,67,257,18,
214,65,287,90,551,370,358,517,528,336,242,335,180,66,390,159,142,249,
313,260,58,478,601,275,75,502,51,282,447,421,207,17,347,238,55,216,
96,195,575,352,496,250,451,244,304,56,184,534,4,594,53,509,276,443,
181,115,556,315,455,441,339,274,444,522,191,510,506,231,560,205,550,578,
7,492,559,324,563,198,270,201,233,360,41,226,206,3,99,167,76,188,
354,247,583,63,266,418,186,32,348,362,428,297,436,476,240,82,439,263,
397,514,475,77,112,368,577,189,477,587,14,599,52,256,307,285,588,409,
529,237,183,536,73,119,221,190,405,474,43,378,141,60,72,568,407,86,
35,555,80,10,458,398,520,595,305,353,459,333,454,34,120,558,562,585,
437,21,338,488,351,150,600,573,461,209,527,132,473,374,114,133,234,571,
166,457,460,294,445),(1,412,232,130,371,253,239,334,396,405,578,393,440,
50,230,246,574,236,127,79,192,10,106,419,601,406,29,332,568,237,11,487,
223,97,196,54,211,212,118,579,17,149,350,217,300,596,142,100,48,329,
280,461,240,404,326,341,447,415,170,374,496,20,495,3,137,456,322,43,
31,418,336,214,78,382,162,377,65,443,586,397,200,71,441,534,466,449,
63,294,533,121,567,297,197,28,488,357,225,342,231,479,164,241,244,566,
387,187,511,296,159,176,105,215,117,390,70,356,148,34,30,25,571,242,
307,401,570,484,259,325,115,146,111,274,592,178,407,380,464,129,525,85,
483,180,597,492,562,515,284,221,339,303,165,199,120,459,414,593,219,46,
243,376,316,261,363,386,24,478,541,286,413,388,399,104,530,152,576,324,
368,175,346,194,481,7,305,559,82,535,561,14,367,310,351,320,436,417,
216,421,278,557,202,338,358,141,581,403,69,514,5,172,471,8,147,509,
160,522,61,198,497,64,155,600,266,88,528,311,331,467,112,391,248,453,
252,233,349,318,359,302,55,108,134,587,110,364,62,188,475,323,494,301,
345,93,517,139,565,270,281,256,383,128,191,45,283,306,408,353,293,426,
23,450,76,255,210,549,470,504,366,330,448,385,154,107,177,72,489,186,
584,144,540,205,289,262,491,77,395,558,523,554,344,410,185,99,268,362,
427,98,44,39,35,521,313,599,279,552,454,564,493,510,373,158,482,282,
103,425,428,505,190,438,327,444,312,181,41,472,372,102,548,136,375,6,
220,203,135,228,598,469,272,83,226,4,292,507,287,591,455,333,251,38,
26,347,213,532,66,174,49,173,295,499,254,222,328,343,265,429,208,389,
340,21,569,527,73,369,452,319,520,52,90,551,457,458,15,473,572,446,
182,58,432,101,337,40,263,68,250,563,59,477,590,542,433,95,423,439,
19,229,276,91,264,273,335,430,416,298,539,437,257,2,249,156,348,381,
502,315,234,75,352,546,116,47,36,189,304,503,12,218,247,245,560,271,
32,378,86,206,53,183,360,67,555,580,465,543,74,524,124,538,96,258,
60,512,462,544,163,56,92,267,476,384,235,201,277,171,536,80,169,132,
516,143,195,379,122,81,519,179,269,308,209,227,585,394,355,18,184,151,
508,529,27,431,87,119,138,224,409,299,575,113,168,501,556,94,370,260,
445,531,550,582,238,42,140,161,518,485,51,314,275,84,442,460,361,400,
490,150,588,547,290,474,526,153,537,500,589,133,498,392,468,434,285,193,
402,577,13,506,125,207,157,9,411,573,131,545,145,595,126,204,89,114,
602,309,486,16,463,583,291,37,398,109,424,422,451,57,166,365,480,33,
22,553,123,317,594,435,354,167,288,321,513,420)]],
[3,Factorial(602)/2,1,"2",[[601,1]],600,"A_n",["A",602,1],602],
[4,Factorial(602),0,"2",[[601,1]],602,"S_n",["A",602,1],602]];
PRIMGRP[603]:=
[[1,Factorial(603)/2,1,"2",[[602,1]],601,"A_n",["A",603,1],603],
[2,Factorial(603),0,"2",[[602,1]],603,"S_n",["A",603,1],603]];
PRIMGRP[604]:=
[[1,Factorial(604)/2,1,"2",[[603,1]],602,"A_n",["A",604,1],604],
[2,Factorial(604),0,"2",[[603,1]],604,"S_n",["A",604,1],604]];
PRIMGRP[605]:=
[[1,Factorial(605)/2,1,"2",[[604,1]],603,"A_n",["A",605,1],605],
[2,Factorial(605),0,"2",[[604,1]],605,"S_n",["A",605,1],605]];
PRIMGRP[606]:=
[[1,Factorial(606)/2,1,"2",[[605,1]],604,"A_n",["A",606,1],606],
[2,Factorial(606),0,"2",[[605,1]],606,"S_n",["A",606,1],606]];
PRIMGRP[607]:=
[[1,Factorial(607)/2,1,"2",[[606,1]],605,"A_n",["A",607,1],607],
[2,Factorial(607),0,"2",[[606,1]],607,"S_n",["A",607,1],607]];
PRIMGRP[608]:=
[[1,111823968,1,"2",[[607,1]],2,"L2,607 on projective points.1",
["L",[2,607],1],
[(3,607,605,603,601,599,597,595,593,591,589,587,585,583,581,579,577,575,573,
571,569,567,565,563,561,559,557,555,553,551,549,547,545,543,541,539,537,
535,533,531,529,527,525,523,521,519,517,515,513,511,509,507,505,503,501,
499,497,495,493,491,489,487,485,483,481,479,477,475,473,471,469,467,465,
463,461,459,457,455,453,451,449,447,445,443,441,439,437,435,433,431,429,
427,425,423,421,419,417,415,413,411,409,407,405,403,401,399,397,395,393,
391,389,387,385,383,381,379,377,375,373,371,369,367,365,363,361,359,357,
355,353,351,349,347,345,343,341,339,337,335,333,331,329,327,325,323,321,
319,317,315,313,311,309,307,305,303,301,299,297,295,293,291,289,287,285,
283,281,279,277,275,273,271,269,267,265,263,261,259,257,255,253,251,249,
247,245,243,241,239,237,235,233,231,229,227,225,223,221,219,217,215,213,
211,209,207,205,203,201,199,197,195,193,191,189,187,185,183,181,179,177,
175,173,171,169,167,165,163,161,159,157,155,153,151,149,147,145,143,141,
139,137,135,133,131,129,127,125,123,121,119,117,115,113,111,109,107,105,
103,101,99,97,95,93,91,89,87,85,83,81,79,77,75,73,71,69,
67,65,63,61,59,57,55,53,51,49,47,45,43,41,39,37,35,33,
31,29,27,25,23,21,19,17,15,13,11,9,7,5)(4,608,606,604,
602,600,598,596,594,592,590,588,586,584,582,580,578,576,574,572,570,568,
566,564,562,560,558,556,554,552,550,548,546,544,542,540,538,536,534,532,
530,528,526,524,522,520,518,516,514,512,510,508,506,504,502,500,498,496,
494,492,490,488,486,484,482,480,478,476,474,472,470,468,466,464,462,460,
458,456,454,452,450,448,446,444,442,440,438,436,434,432,430,428,426,424,
422,420,418,416,414,412,410,408,406,404,402,400,398,396,394,392,390,388,
386,384,382,380,378,376,374,372,370,368,366,364,362,360,358,356,354,352,
350,348,346,344,342,340,338,336,334,332,330,328,326,324,322,320,318,316,
314,312,310,308,306,304,302,300,298,296,294,292,290,288,286,284,282,280,
278,276,274,272,270,268,266,264,262,260,258,256,254,252,250,248,246,244,
242,240,238,236,234,232,230,228,226,224,222,220,218,216,214,212,210,208,
206,204,202,200,198,196,194,192,190,188,186,184,182,180,178,176,174,172,
170,168,166,164,162,160,158,156,154,152,150,148,146,144,142,140,138,136,
134,132,130,128,126,124,122,120,118,116,114,112,110,108,106,104,102,100,
98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,
62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,
26,24,22,20,18,16,14,12,10,8,6),
(1,2,306)(3,328,284)(4,350,261)(5,333,277)(6,122,487)(7,390,218)
(8,322,285)(9,367,239)(10,95,510)(11,411,193)(12,231,372)
(13,194,408)(14,112,489)(15,281,319)(16,216,383)(17,526,72)
(18,83,514)(19,445,151)(20,56,539)(21,247,347)(22,452,141)
(23,176,416)(24,57,534)(25,283,307)(26,289,300)(27,444,144)
(28,535,52)(29,107,479)(30,439,146)(31,155,429)(32,169,414)
(33,498,84)(34,533,48)(35,236,344)(36,482,97)(37,513,65)
(38,206,371)(39,356,220)(40,326,249)(41,226,348)(42,260,313)
(43,152,420)(44,412,159)(45,483,87)(46,139,430)(47,267,301)
(49,138,428)(50,89,476)(51,230,334)(53,54,508)(55,425,135)
(58,391,166)(59,399,157)(60,63,492)(61,82,472)(62,174,379)
(64,116,435)(66,448,101)(67,276,272)(68,251,296)(69,238,308)
(70,400,145)(71,203,341)(73,556,592)(74,297,244)(75,143,397)
(76,385,154)(77,584,560)(78,555,588)(79,578,564)(80,253,282)
(81,280,254)(85,427,103)(86,595,540)(88,190,337)(90,369,156)
(91,181,343)(92,108,415)(93,228,294)(94,126,395)(96,209,310)
(98,529,594)(99,575,547)(100,388,127)(102,517,602)(104,558,559)
(105,303,207)(106,250,259)(109,364,142)(110,128,377)(111,124,380)
(113,355,147)(114,579,528)(115,258,242)(117,287,211)(118,366,131)
(119,150,346)(120,549,552)(121,314,180)(123,500,598)(125,490,606)
(129,567,525)(130,576,515)(132,321,162)(133,505,583)(134,295,186)
(136,523,562)(137,208,270)(140,530,551)(148,175,292)(149,288,178)
(153,188,274)(158,234,223)(160,590,471)(161,202,252)(163,189,263)
(164,546,511)(165,195,255)(167,593,461)(168,585,468)(170,273,172)
(171,225,219)(173,582,466)(177,496,548)(179,237,199)(182,473,566)
(183,457,581)(184,474,563)(185,527,509)(187,557,477)(191,210,214)
(192,460,569)(196,436,589)(197,504,520)(198,443,580)(200,568,453)
(201,601,419)(204,418,599)(212,542,467)(213,553,455)(215,469,537)
(217,486,518)(221,554,446)(222,605,394)(224,512,485)(227,536,458)
(229,396,596)(232,488,501)(233,438,550)(235,484,502)(240,381,600)
(241,406,574)(243,522,456)(245,603,373)(246,494,481)(248,503,470)
(256,573,392)(257,499,465)(262,608,351)(264,386,571)(265,365,591)
(266,462,493)(268,376,577)(269,431,521)(271,409,541)(275,422,524)
(278,382,561)(279,607,335)(286,572,363)(290,604,327)(291,480,450)
(293,331,597)(298,491,432)(299,352,570)(302,403,516)(304,374,543)
(305,329,587)(309,507,405)(311,345,565)(312,323,586)(315,538,368)
(316,361,544)(317,478,426)(318,384,519)(320,437,464)(324,463,434)
(325,495,401)(330,359,532)(332,531,358)(336,545,340)(338,424,459)
(339,442,440)(342,404,475)(349,423,449)(353,362,506)(354,497,370)
(357,417,447)(360,410,451)(375,433,413)(378,454,389)(387,441,393)
(398,402,421)]],
[2,223647936,0,"2",[[607,1]],3,"L2,607 on projective points.2",
["L",[2,607],1],
[(1,354,463,464,315,371,569,101,419,343,264,150,337,459,445,347,239,515,320,
426,516,257,123,81,333,100,335,29,244,519,78,121,224,21,33,120,296,
349,267,295,559,46,374,317,496,146,363,535,104,392,167,116,474,159,390,
406,323,173,259,589,196,268,219,492,240,479,82,490,364,254,475,553,376,
528,162,344,37,234,499,51,102,355,269,233,75,592,473,207,60,421,151,
161,583,22,45,608,497,286,171,561,205,596,576,549,89,191,484,544,258,
470,342,415,260,86,478,540,69,417,505,10,545,229,541,502,508,517,447,
495,282,567,465,266,169,201,65,275,231,157,316,368,403,149,250,112,587,
110,455,452,393,510,509,491,297,500,440,579,370,378,586,136,24,361,400,
436,486,600,345,47,236,348,138,542,251,584,414,35,604,330,237,73,107,
340,377,40,246,533,6,302,384,64,36,379,172,131,255,128,227,189,7,
444,19,285)(2,273,539,114,551,369,331,430,303,427,386,179,522,494,174,
256,552,25,312,518,181,218,451,485,321,228,560,523,144,580,307,16,420,
210,322,511,213,564,72,122,158,197,534,422,578,180,188,585,118,58,261,
67,49,48,165,106,103,448,577,446,308,409,155,190,242,401,327,283,493,
357,389,292,93,597,276,63,111,41,50,56,17,329,13,548,53,141,489,
18,80,472,298,143,216,88,300,14,74,367,469,9,588,568,353,603,387,
272,61,556,513,536,581,397,407,137,498,351,85,572,483,325,289,203,456,
507,59,324,521,214,396,30,182,5,83,304,194,68,476,79,318,66,339,
290,362,575,299,385,235,152,168,399,84,442,391,166,454,23,195,412,62,
241,184,512,605,263,291,209,262,438,525,537,334,437,480,39,314,529,223,
458,225,477,435,301,42,132,238,43,319,211,113,99,221,408,294,215,139,
457,595,187,243,94,95,204)(3,27,346,411,506,431,366,546,538,450,313,
232,504,277,96,117,530,124,601,453,248,443,253,279,305,115,310,105,563,
434,28,441,462,281,54,326,245,108,20,12,192,127,52,147,212,531,555,
558,293,359,217,566,404,55,599,481,375,76,160,8,252,554,125,373,153,
487,130,410,309,439,571,70,284,31,402,202,57,178,198,418,222,332,311,
429,206,134,358,372,97,460,383,524,557,177,109,126,92,220,394,423,288,
562,15,468,594,271,176,395,532,193,278,514,230,38,142,388,208,573,133,
471,547,574,413,467,582,91,145,590,11,87,425,591,350,170,416,520,328,
44,280,365,26,163,382,287,570,90,543,602,270,135,164,338,466,432,449,
381,607,34,175,98,461,186,200,424,352,129,247,226,336,140,360,380,501,
356,156,527,274,488,593,119,249,148,428,71,405,185,433,4,306,550,398,
482,183,77,565,503,154,598,341,199,265,606),
(1,456,167,542,404,472,303,316,577,278,321,109,197,528,593,567,393,13,304,
202,274,128,222,380,119,129,254,255,47,565,505,498,43,533,114,258,22,
183,44,537,116,32,452,588,323,178,30,492,57,279,189,603,586,223,177,
477,160,371,518,181,531,141,314,138,320,341,427,599,569,558,431,199,389,
34,420,233,361,188,559,556,601,373,514,287,150,334,480,99,607,168,592,
573,330,212,69,462,228,15,478,360,117,98,522,83,591,210,356,540,403,
176,317,89,134,131,502,329,457,270,50,301,491,259,132,121,91,263,349,
370,552,376,549,159,509,172,319,530,213,513,467,104,87,501,411,27,198,
54,512,367,102,238,52,574,153,40,507,62,432,576,157,41,192,185,125,
37,435,436,561,571,310,468,562,416,488,386,71,297,123,97,162,493,581,
369,412,113,374,387,218,286,148,523,234,2,536,51,377,175,479,73,79,
283,453,195,256,265,289,385,170,100,527,282,363,602,460,328,235,346,21,
284,299,252,548,550,529,260,164,553,60,151,585,424,503,127,358,500,312,
337,9,458,335,135,36,395,423,76,49,217,392,532,158,298,473,35,8,
267,295,48,555,355,232,75,353,378,190,332,563,187,266,105,539,24,137,
526,430,161,140,142,438,391,406,63,344,455,362,230,88,327,408,163,590,
520,305,401,425,434,495,237,407,5,11,211,515,313,33,154)
(3,216,67,277,144,221,450,182,506,606,333,451,347,194,193,130,364,249,
93,338,85,70,426,410,575,18,440,124,372,61,584,417,108,122,281,587,
381,384,145,294,20,598,447,422,296,322,271,288,465,126,475,78,524,101,
236,594,397,551,46,7,608,315,307,206,486,146,414,200,433,421,56,429,
487,324,596,471,152,398,521,351,557,445,227,246,554,262,517,226,499,149,
29,207,461,272,354,572,90,519,308,388,53,251,466,399,516,26,156,311,
348,485,214,95,290,470,285,583,359,179,231,345,459,511,331,107,405,220,
400,595,476,205,342,379,534,58,174,291,224,439,31,302,382,171,600,118,
336,418,229,483,55,541,191,464,173,428,136,444,463,245,133,339,169,292,
538,219,94,366,203,261,28,269,257,490,276,544,204,484,383,375,82,77,
38,139,293,96,454,589,166,6,215,564,225,402,419,368,394,268,243,92,
64,396,545,306,309,103,409,568,582,273,106,23,318,566,250,66,115,280,
264,14,605,352,597,441,326,560,497,496,343,239,357,84,184,508,240,469,
546,413,17,474,81,180,300,59,535,481,525,446,442,10,196,201,120,143,
253,350,247,72,415,449,80,604,482,19,580,186,112,448,579,543,39,16,
325,42,365,68,45,147,111,242,578,504,110,65,208,86,4,241,275,12,
443,340,437,547,570,489,494,74,248,244,165,209,155,25,390,510)]],
[3,Factorial(608)/2,1,"2",[[607,1]],606,"A_n",["A",608,1],608],
[4,Factorial(608),0,"2",[[607,1]],608,"S_n",["A",608,1],608]];
PRIMGRP[609]:=
[[1,Factorial(609)/2,1,"2",[[608,1]],607,"A_n",["A",609,1],609],
[2,Factorial(609),0,"2",[[608,1]],609,"S_n",["A",609,1],609]];
PRIMGRP[610]:=
[[1,Factorial(610)/2,1,"2",[[609,1]],608,"A_n",["A",610,1],610],
[2,Factorial(610),0,"2",[[609,1]],610,"S_n",["A",610,1],610]];
PRIMGRP[611]:=
[[1,Factorial(611)/2,1,"2",[[610,1]],609,"A_n",["A",611,1],611],
[2,Factorial(611),0,"2",[[610,1]],611,"S_n",["A",611,1],611]];
PRIMGRP[612]:=
[[1,Factorial(612)/2,1,"2",[[611,1]],610,"A_n",["A",612,1],612],
[2,Factorial(612),0,"2",[[611,1]],612,"S_n",["A",612,1],612]];
PRIMGRP[613]:=
[[1,Factorial(613)/2,1,"2",[[612,1]],611,"A_n",["A",613,1],613],
[2,Factorial(613),0,"2",[[612,1]],613,"S_n",["A",613,1],613]];
PRIMGRP[614]:=
[[1,115172892,1,"2",[[613,1]],2,"L2,613 on projective points.1",
["L",[2,613],1],
[(3,613,611,609,607,605,603,601,599,597,595,593,591,589,587,585,583,581,579,
577,575,573,571,569,567,565,563,561,559,557,555,553,551,549,547,545,543,
541,539,537,535,533,531,529,527,525,523,521,519,517,515,513,511,509,507,
505,503,501,499,497,495,493,491,489,487,485,483,481,479,477,475,473,471,
469,467,465,463,461,459,457,455,453,451,449,447,445,443,441,439,437,435,
433,431,429,427,425,423,421,419,417,415,413,411,409,407,405,403,401,399,
397,395,393,391,389,387,385,383,381,379,377,375,373,371,369,367,365,363,
361,359,357,355,353,351,349,347,345,343,341,339,337,335,333,331,329,327,
325,323,321,319,317,315,313,311,309,307,305,303,301,299,297,295,293,291,
289,287,285,283,281,279,277,275,273,271,269,267,265,263,261,259,257,255,
253,251,249,247,245,243,241,239,237,235,233,231,229,227,225,223,221,219,
217,215,213,211,209,207,205,203,201,199,197,195,193,191,189,187,185,183,
181,179,177,175,173,171,169,167,165,163,161,159,157,155,153,151,149,147,
145,143,141,139,137,135,133,131,129,127,125,123,121,119,117,115,113,111,
109,107,105,103,101,99,97,95,93,91,89,87,85,83,81,79,77,75,
73,71,69,67,65,63,61,59,57,55,53,51,49,47,45,43,41,39,
37,35,33,31,29,27,25,23,21,19,17,15,13,11,9,7,5)
(4,614,612,610,608,606,604,602,600,598,596,594,592,590,588,586,584,582,
580,578,576,574,572,570,568,566,564,562,560,558,556,554,552,550,548,546,
544,542,540,538,536,534,532,530,528,526,524,522,520,518,516,514,512,510,
508,506,504,502,500,498,496,494,492,490,488,486,484,482,480,478,476,474,
472,470,468,466,464,462,460,458,456,454,452,450,448,446,444,442,440,438,
436,434,432,430,428,426,424,422,420,418,416,414,412,410,408,406,404,402,
400,398,396,394,392,390,388,386,384,382,380,378,376,374,372,370,368,366,
364,362,360,358,356,354,352,350,348,346,344,342,340,338,336,334,332,330,
328,326,324,322,320,318,316,314,312,310,308,306,304,302,300,298,296,294,
292,290,288,286,284,282,280,278,276,274,272,270,268,266,264,262,260,258,
256,254,252,250,248,246,244,242,240,238,236,234,232,230,228,226,224,222,
220,218,216,214,212,210,208,206,204,202,200,198,196,194,192,190,188,186,
184,182,180,178,176,174,172,170,168,166,164,162,160,158,156,154,152,150,
148,146,144,142,140,138,136,134,132,130,128,126,124,122,120,118,116,114,
112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,
76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,
40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6),
(1,2,309)(3,308,310)(4,195,422)(5,586,30)(6,81,534)(7,233,381)
(8,208,405)(9,105,507)(10,27,584)(11,401,209)(12,555,54)
(13,87,521)(14,347,260)(15,24,582)(16,180,425)(17,427,177)
(18,459,144)(19,272,330)(20,566,35)(21,128,472)(22,124,475)
(23,466,132)(25,38,558)(26,72,523)(28,326,267)(29,198,394)
(31,502,88)(32,613,588)(33,387,201)(34,591,608)(36,594,603)
(37,344,240)(39,133,449)(40,458,123)(41,48,532)(42,112,467)
(43,315,263)(44,221,356)(45,181,395)(46,296,279)(47,374,200)
(49,215,357)(50,222,349)(51,268,302)(52,598,583)(53,434,134)
(55,103,463)(56,176,389)(57,149,415)(58,211,352)(59,241,321)
(60,580,593)(61,439,121)(62,119,440)(63,606,564)(64,393,164)
(65,456,100)(66,481,74)(67,414,140)(68,230,323)(69,362,190)
(70,384,167)(71,210,340)(73,471,77)(75,212,334)(76,254,291)
(78,286,257)(79,80,462)(82,413,126)(83,202,336)(84,537,612)
(85,107,429)(86,570,577)(89,338,194)(90,214,317)(91,314,216)
(92,170,359)(93,345,183)(94,275,252)(95,546,592)(96,165,360)
(97,531,605)(98,337,186)(99,110,412)(101,148,372)(102,383,136)
(104,232,285)(106,161,354)(108,375,138)(109,265,247)(111,513,609)
(113,289,219)(114,325,182)(115,187,319)(116,587,530)(117,307,197)
(118,185,318)(120,251,250)(122,331,168)(125,324,172)(127,306,188)
(129,239,253)(130,171,320)(131,220,270)(135,341,145)(137,552,544)
(139,227,255)(141,238,242)(142,313,166)(143,494,596)(146,490,597)
(147,545,541)(150,245,226)(151,506,576)(152,595,486)(153,276,192)
(154,218,249)(155,515,563)(156,538,539)(157,228,236)(158,173,290)
(159,600,474)(160,578,495)(162,553,518)(163,175,283)(169,485,579)
(174,199,248)(178,499,556)(179,557,497)(184,565,484)(189,511,533)
(191,601,441)(193,438,602)(196,423,614)(203,469,561)(204,551,478)
(205,536,492)(206,508,519)(213,410,610)(217,607,409)(223,437,573)
(224,420,589)(225,554,454)(229,442,562)(231,585,417)(234,548,451)
(235,516,482)(237,385,611)(243,510,480)(244,571,418)(246,470,517)
(256,549,428)(258,453,522)(259,448,526)(261,403,569)(262,397,574)
(264,457,512)(266,407,560)(269,396,568)(271,604,358)(273,525,435)
(274,581,378)(277,483,473)(278,408,547)(280,529,424)(281,520,432)
(282,416,535)(284,406,543)(287,496,450)(288,346,599)(292,590,351)
(293,504,436)(294,493,446)(295,388,550)(297,377,559)(298,447,488)
(299,431,503)(300,433,500)(301,404,528)(303,575,355)(304,527,402)
(305,476,452)(311,501,421)(312,491,430)(316,350,567)(322,572,339)
(327,364,542)(328,445,460)(329,505,399)(332,540,361)(333,386,514)
(335,443,455)(342,465,426)(343,524,366)(348,398,487)(353,509,371)
(363,391,479)(365,379,489)(367,498,368)(369,400,464)(370,419,444)
(373,468,392)(376,380,477)(382,390,461)]],
[2,230345784,0,"2",[[613,1]],3,"L2,613 on projective points.2",
["L",[2,613],1],
[(1,39,238,223,413,605,338,584,167,393,306,386,517,589,106,503,408,361,32,
143,64,467,559,507,135,592,197,199,412,419,461,454,19,424,187,234,192,
243,466,449,46,194,376,225,538,464,295,311,474,543,579,156,189,8,109,
78,117,327,121,608,261,599,82,340,484,561,201,144,276,277,153,511,119,
440,370,15,239,351,500,14,362,21,483,125,443,380,417,515,94,587,497,
257,244,344,558,435,411,487,28,352,70,278,31,442,581,124,493,145,272,
61,309,402,57,202,126,539,502,73,260,510,334,263,88,289,264,253,209,
580,164,154,460,188,168,567,325,446,524,426,122,100,251,3,24,240,134,
414,297,410,480,425,211,185,331,323,283,274,210,23,207,588,217,304,193,
79,528,159,476,526,204,222,262,130,18,89,357,343,173,406,218,149,544,
391,479,52,162,459,518,473,407,422,285,267,120,314,521,432,140,337,555,
462,429,368,598,456,453,590,530,447,546,612,65,44,349,128,191,492,398,
294,553,333,329,254,377,221,241,552,373,396,54,550,213,549,330,5,401,
183,525,236,230,394,535,41,72,451,219,11,163,573,472,142,250,27,358,
536,434,395,570,332,489,354,104,594,607,293,301,76,131,499,399,397,4,
520,508,416,438,512,339,105,59,68,519,547,382,428,496,328,418,161,206,
34,469,335,319,371,545,280,557,359,38,372,565,282,146,228,196,51)
(2,458,313,281,363,227,556,137,471,150,564,229,576,138,190,174,40,475,
303,348,91,181,13,81,127,574,602,441,450,404,170,609,71,93,613,601,
505,112,110,10,378,433,208,216,514,527,405,155,20,177,551,114,75,585,
151,482,259,367,37,548,346,498,290,58,437,468,586,115,279,273,596,326,
108,504,179,572,296,571,455,113,136,569,268,288,132,255,180,176,568,215,
111,17,318,381,160,465,444,509,575,62,591,531,56,53,523,141,80,47,
566,172,369,77,600,195,389,242,224,87,102,36,603,50,347,457,30,118,
577,360,291,103,336,166,152,420,491,379,247,287,305,595,33,350,593,430,
316,205,292,533,302,486,299,235,226,186,178,324,298,84,29,99,212,95,
375,269,485,506,258,409,387,83,597,63,184,554,341,321,49,355,345,541,
300,256,245,220,421,246,175,611,249,436,7,582,383,307,452,107,200,448,
237,364,16,385,540,67,478,231,439,157,481,22,98,74,563,165,265,252,
12,534,415,606,92,129,66,384,26,488,147,495,9,158,270,494,139,69,
390,610,356,232,233,365,308,560,25,169,427,522,248,513,388,182,392,431,
400,501,320,353,542,578,35,198,214,45,583,284,133,315,463,60,43,266,
317,275,322,85,490,55,48,90,97,310,312,529,374,614,562,42,445,366,
477,148,101,6,403,532,604,123,203,116,342,537,171,516,96,286,271,470),
(1,341,436,22,234,87,457,570,287,72,577,548,404,83,355,584,399,491,285,
45,95,247,383,463,250,609,612,206,572,398,309,25,505,56,321,471,226,
363,198,598,185,223,410,418,8,510,333,527,522,362,554,400,264,74,432,
397,143,565,429,275,467,307,302,496,319,209,411,419,606,32,231,19,466,
603,358,508,161,324,192,520,431,257,11,217,220,579,366,446,582,122,172,
544,338,430,245,474,134,425,281,252,145,542,259,372,130,595,195,393,488,
2,181,210,152,392,205,313,158,76,472,126,213,354,534,300,343,312,149,
170,600,273,498,54,197,239,477,454,116,421,453,537,304,555,504,359,322,
173,523,506,499,17,52,396,335,289,610,282,384,438,455,576,604,412,271,
148,114,104,128,187,301,112,251,24,46,545,346,344,407,175,61,272,377,
345,120,439,232,146,456,5,599,218,478,589,303,469,194,199,248,444,441,
167,381,569,43,79,587,420,394,539,132,317,424,62,464,401,563,434,588,
118,182,208,57,215,497,236,403,154,440,538,337,221,53,296,135,459,515,
487,243,270,151,451,318,562,482,100,460,334,75,60,121,368,480,15,613,
16,361,191,607,227,561,140,84,596,28,203,51,169,550,180,115,280,551,
414,489,423,147,177,255,228,387,308,320,3,80,81,566,235,524,316,465,
6,106,514,21,449,462,58,531,276,78,552,123,571,93,265,150,131,34,
336,64,188,458,575,382,27,286,49,518,416,481,443,568,567,479,427,38,
605,246,585,108,41,238,473,353,329,129,256,532,110,33,237,450,90,546,
502,288,119,10,501,162,580,293,503,73,204,519,535,560,530,490,186,92,
125,31,339,299,269,294,310,13,144,326,536,249,55,328,207,98,541,327,
283,127,379,592,184,107,297,573,88,500,476,356,591,176,109,244,583,224,
179,402,350,262,261,386,348,413,311,168,543,190,447,254,371,29,153,493,
183,86,67,564,124,258,94,277,139,553,298,159,367,380,196,315,111,211,
364,513,305,594,263,136,137,214,509,521,442,601,574,40,70,406,340,415,
278,549,102,37,279,48,166,14,189,233,133,77,268,602,222,26,468,201,
216,202,349,461,96,157,142,495,369,117,347,267,511,378,66,559,586,342,
314,370,82,533,164,608,492,291,389,63,426,593,332,614,160,9,35,99,
241,395,266,428,365,155,405,512,85,290,435,409,242,138,174,260,448,50,
388,385,581,18,23,360,526,240,351,611,230,212,373,71,597,390,97,484,
452,557,156,42,422,485,483,284,171,193,578,105,528,30,89,113,103,69,
558,417,225,253,374,391,445,547,219,540,494,433,165,200,330,323,306,44,
507,470,325,274,525,292,376,408,101,375,352,590,20,163,331,556,229,47,
68,517,486,529,295,475,4,91,357,141,59,516,12,437,65,7,36)]],
[3,Factorial(614)/2,1,"2",[[613,1]],612,"A_n",["A",614,1],614],
[4,Factorial(614),0,"2",[[613,1]],614,"S_n",["A",614,1],614]];
PRIMGRP[615]:=
[[1,Factorial(615)/2,1,"2",[[614,1]],613,"A_n",["A",615,1],615],
[2,Factorial(615),0,"2",[[614,1]],615,"S_n",["A",615,1],615]];
PRIMGRP[616]:=
[[1,443520,1,"2",[[30,1],[45,1],[180,1],[360,1]],1,
"m22#616.1",["Spor","M(22)",1],
[(1,2,4,8,16,29,13)(3,6,12,23,41,69,27)(5,10,20,36,62,
100,39)(7,14,26,47,78,125,51)(9,18,33,57,92,148,60)
(11,21,38,65,106,168,68)(15,28,50,83,132,167,37)(17,31,54,88,
142,216,91)(19,34,59,95,154,161,99)(22,40,67,110,173,232,58)
(24,43,73,117,181,176,119)(25,45,76,121,187,277,124)(30,52,86,138,
210,307,141)(32,55,90,145,222,325,103)(35,61,98,159,241,323,89)
(42,71,115,157,238,248,105)(44,74,82,131,200,276,186)(46,77,123,190,
283,377,118)(48,79,127,195,291,392,197)(49,81,130,165,249,353,201)
(53,87,140,213,313,384,122)(56,63,102,164,192,286,139)(64,104,166,250,
214,268,72)(66,108,171,257,158,240,259)(70,114,116,180,267,372,146)
(75,120,185,275,284,386,179)(80,128,196,292,107,129,198)(84,134,205,299,
280,382,302)(85,136,208,304,406,496,306)(93,150,228,334,433,450,337)
(94,152,231,339,438,524,340)(96,156,237,183,272,364,344)(97,112,177,144,
220,322,346)(101,163,247,274,184,111,175)(109,172,258,363,402,282,126)
(113,147,225,331,319,266,370)(133,203,296,242,347,350,399)(135,206,301,403,
492,565,405)(137,209,305,408,188,279,300)(143,218,320,423,510,513,219)
(149,226,332,308,411,501,432)(151,229,336,202,295,396,437)(153,233,199,265,
223,327,335)(155,235,239,345,429,515,441)(160,243,349,445,503,211,309)
(162,227,333,431,516,579,449)(169,253,357,453,534,536,455)(170,255,360,457,
537,278,381)(174,261,367,462,521,435,330)(178,264,191,285,388,478,328)
(182,270,273,378,471,549,468)(189,281,383,473,477,483,194)(193,288,389,479,
546,600,481)(204,297,398,379,246,352,448)(207,303,404,493,376,469,397)
(212,311,314,415,505,252,355)(215,316,418,487,298,400,373)(217,318,421,428,
326,427,371)(221,324,426,409,497,476,424)(224,329,366,461,539,543,262)
(230,338,436,522,498,465,430)(234,341,440,527,588,362,380)(236,342,395,486,
558,603,529)(244,312,359,456,520,583,488)(245,351,447,422,289,390,446)
(251,354,451,514,356,452,287)(254,358,439,526,547,271,375)(256,361,459,502,
556,387,454)(260,365,368,464,542,553,540)(263,369,444,531,310,413,463)
(269,374,467,545,575,315,416)(290,391,482,555,599,596,480)(293,393,484,552,
566,595,533)(294,394,485,557,605,607,559)(317,419,507,460,538,490,563)
(321,425,512,577,569,571,509)(343,442,523,585,606,591,528)(348,443,530,590,
597,612,592)(385,475,551,602,608,491,511)(401,489,562,604,561,587,609)
(407,420,508,576,614,568,470)(410,500,564,610,560,474,458)(412,466,544,598,
535,472,550)(414,504,572,613,525,499,570)(417,506,574,589,554,594,573)
(434,519,582,532,593,586,616)(494,567,611,495,517,578,548)(518,581,584,601,
580,615,541),(1,3,7,15,10)(2,5,11,22,18)(4,9,19,35,
31)(6,13,25,46,43)(8,17,32,56,52)(12,24,44,75,71)
(14,27,49,82,79)(16,30,53,45,29)(20,37,64,105,102)
(21,39,66,109,47)(23,42,72,116,114)(26,48,80,129,38)
(28,51,85,137,134)(33,58,94,153,150)(34,60,97,158,156)
(36,63,103,165,163)(40,68,112,148,175)(41,70,55,91,147)
(50,84,135,207,203)(54,89,144,221,218)(57,93,151,230,226)
(59,96,157,239,235)(61,99,161,245,243)(62,101,92,149,227)
(65,107,170,256,253)(67,111,176,263,261)(69,113,178,265,81)
(73,118,183,273,270)(74,119,184,274,127)(76,122,189,282,279)
(77,124,192,287,285)(78,126,194,290,288)(83,133,204,298,295)
(86,139,212,312,309)(87,141,215,180,268)(88,143,219,321,318)
(90,146,224,330,327)(95,155,236,343,341)(98,160,244,350,347)
(100,162,246,185,108)(104,167,251,164,248)(106,169,254,359,355)
(110,174,262,368,365)(115,179,266,371,345)(117,182,271,376,374)
(120,186,276,380,171)(121,188,280,361,381)(123,191,264,370,386)
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(140,214,315,417,415)(142,217,319,422,419)(145,223,328,429,427)
(152,232,173,260,366)(154,234,200,293,351)(159,242,348,444,241)
(166,238,344,172,259)(168,252,356,324,177)(181,269,220,323,369)
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(210,308,412,502,500)(213,314,311,286,277)(222,326,428,485,510)
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(233,340,439,301,392)(237,257,362,460,378)(240,346,322,416,250)
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(275,379,472,357,454)(283,385,476,304,407)(296,397,440,528,443)
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(479,552,579,516,580)(486,559,607,530,591)(504,531,592,614,576)
(508,563,609,613,572)(524,586,545,599,526)(538,588,562,608,610)]],
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(6,483,438,258,123,336,474,102)(7,469,28,29,447,498,271,308)
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(25,231,435,561,380,471,529,449)(26,289,358,132)(31,451,393,424,465,107,
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250,481,219,364)(35,551,297,149,275,522,215,338)(37,90)(38,587,528,605,
98,461,112,108)(39,157,253,205,545,478,384,442)(40,169,610,49,467,70,
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(44,137,116,450,361,323,371,209)(46,369,195,200,601,344,573,138)
(47,264,145,540,390,398,505,105)(50,345,544,279,375,496,111,65)
(51,299,325,407,351,287,355,593)(52,609,294,278,133,575,87,490)
(53,399,584,564,180,74,69,378)(54,585,432,322,501,420,511,251)
(57,129,256,188,291,327,96,160)(59,464,548,452,440,448,186,153)
(60,426,581,177,362,597,286,335)(62,459,77,437,507,310,172,342)
(64,106,377,379,589,334,510,482)(66,366,428,473,266,460,455,395)
(67,386,130,514,537,406,114,614)(68,607,168,141,185,357,445,288)
(72,600,556,210,588,387,203,454)(73,234,147,486,118,594,559,549)
(75,236,348,317,300,500,191,232)(79,457,301,565,104,100,270,151)
(80,444,324,121,470,307,596,417)(81,536,213,315,313,331,319,381)
(82,187,267,392,183,268,225,527)(83,163,101,311)(84,214,239,347,519,509,
150,193)(89,164,120,206,136,119,515,458)(92,611,321,318,95,502,506,353)
(94,349,431,260,403,306,170,476)(99,372,410,563,554,240,189,401)
(103,274,212,446)(113,115,494,606,165,221,156,354)(122,382,350,368,171,265,
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(127,520,405,579,569,580,367,374)(131,263,154,242,463,517,425,578)
(135,176,583,462,558,615,218,468)(142,612,572,155,566,553,332,305)
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(175,391,222,497,598,592,252,316)(182,616,190,388,194,292,488,599)
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(262,356,273,542,416,582,396,328)(346,603,530,541,508,524,352,363),
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526,99,228,86,509)(3,403,414,178,612,616,111,534,227,234,352,530)
(4,299,369,19,433,589,66,53,152,115,408,57)(5,378,281,344,420,122,
202,571,459,187,391,108)(6,572,290,265,415,396,437,521,466,441,573,354)
(7,452,38,188,16,522,197,285,65,20,161,469)(8,531,446,208,605,82,
464,432,321,137,520,528)(9,493,429,434,331,510,372,558,101,260,544,127)
(10,476,276,15,34,133,424,417,195,593,55,50)(11,176,43,343,229,569,
41,250,75,609,64,472)(12,49,436,559,159,483,171,69,272,132,516,400)
(13,286,423,95,300,416,40,453,562,370,553,482)(14,154,217,582,221,580,
267,479,327,70,523,439)(17,355,409,239,588,351,100,22,487,60,599,119)
(18,319,173,233,386,608,147,126,235,514,131,489)(21,495,610,458,309,194,
579,232,381,278,199,170)(23,407,150,465,30,357,557,306,73,48,333,79)
(24,274,102,236,302,162,230,607,28,328,135,550)(25,116,77,304,219,587,
384,268,392,158,264,258)(26,565,419,121,81,480,484,94,283,255,244,185)
(27,279,206,63,581,613,80,402,191,76,311,336)(29,204,169,346,114,551,
189,399,107,497,536,440)(31,473,301,597,505,413,359,109,438,153,254,606)
(32,256,594,97,282,477,592,602,426,449,292,313)(35,98,422,508,411,374,
106,367,388,318,203,574)(36,541,298,394,570,567,478,242,211,247,397,555)
(37,371,576,545,293,209,218,47,270,51,266,231)(39,468,141,490,164,425,
113,410,361,529,383,280)(42,525,502,251,428,84,362,339,62,395,347,248)
(44,498,144,295,418,307,533,192,180,496,548,139)(45,190,163,128,326,294,
120,172,93,500,405,368)(46,475,586,179,455,512,87,259,358,156,356,486)
(52,262,184,373,193,167,215,376,315,323,451,320)(54,249,104,123,442,175)
(56,494,181,112,303,342,168,296,583,103,348,90)(58,511,322,324,146,538,
216,575,365,291,96,564)(59,615,269,380)(61,214,226,584,71,387,540,124,
517,552,257,198)(67,561,337,390,393,85,506,263,125,174,223,151)
(68,578,382,460,547,210,312,78,287,467,330,271)(72,238,289,377,92,240)
(74,591,614,182,317,566,535,518,515,335,546,595)(88,334,134,524,142,212,
435,443,596,431,549,471)(89,501,456,340,275,160,375,430,389,539,129,366)
(91,470,499,246,288,556,444,447,598,148,379,474)(105,363,143,183,360,284)
(117,463,519,200,461,404,155,462,261,590,421,485)(118,241,560,398,149,305,
186,329,568,611,603,277)(136,427,314,205,332,406,401,412,253,225,345,308)
(138,273,488,454,237,350,457,196,554,140,316,600)(145,507,165,385,297,532,
207,445,492,364,563,503)(166,585,537,481,450,491)(177,604,201,245,527,243,
338,220,341,601,222,513)]],
[3,Factorial(616)/2,1,"2",[[615,1]],614,"A_n",["A",616,1],616],
[4,Factorial(616),0,"2",[[615,1]],616,"S_n",["A",616,1],616]];
PRIMGRP[617]:=
[[1,Factorial(617)/2,1,"2",[[616,1]],615,"A_n",["A",617,1],617],
[2,Factorial(617),0,"2",[[616,1]],617,"S_n",["A",617,1],617]];
PRIMGRP[618]:=
[[1,117442248,1,"2",[[617,1]],2,"L2,617 on projective points.1",
["L",[2,617],1],
[(3,617,615,613,611,609,607,605,603,601,599,597,595,593,591,589,587,585,583,
581,579,577,575,573,571,569,567,565,563,561,559,557,555,553,551,549,547,
545,543,541,539,537,535,533,531,529,527,525,523,521,519,517,515,513,511,
509,507,505,503,501,499,497,495,493,491,489,487,485,483,481,479,477,475,
473,471,469,467,465,463,461,459,457,455,453,451,449,447,445,443,441,439,
437,435,433,431,429,427,425,423,421,419,417,415,413,411,409,407,405,403,
401,399,397,395,393,391,389,387,385,383,381,379,377,375,373,371,369,367,
365,363,361,359,357,355,353,351,349,347,345,343,341,339,337,335,333,331,
329,327,325,323,321,319,317,315,313,311,309,307,305,303,301,299,297,295,
293,291,289,287,285,283,281,279,277,275,273,271,269,267,265,263,261,259,
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221,219,217,215,213,211,209,207,205,203,201,199,197,195,193,191,189,187,
185,183,181,179,177,175,173,171,169,167,165,163,161,159,157,155,153,151,
149,147,145,143,141,139,137,135,133,131,129,127,125,123,121,119,117,115,
113,111,109,107,105,103,101,99,97,95,93,91,89,87,85,83,81,79,
77,75,73,71,69,67,65,63,61,59,57,55,53,51,49,47,45,43,
41,39,37,35,33,31,29,27,25,23,21,19,17,15,13,11,9,7,5
)(4,618,616,614,612,610,608,606,604,602,600,598,596,594,592,590,588,586,
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548,546,544,542,540,538,536,534,532,530,528,526,524,522,520,518,516,514,
512,510,508,506,504,502,500,498,496,494,492,490,488,486,484,482,480,478,
476,474,472,470,468,466,464,462,460,458,456,454,452,450,448,446,444,442,
440,438,436,434,432,430,428,426,424,422,420,418,416,414,412,410,408,406,
404,402,400,398,396,394,392,390,388,386,384,382,380,378,376,374,372,370,
368,366,364,362,360,358,356,354,352,350,348,346,344,342,340,338,336,334,
332,330,328,326,324,322,320,318,316,314,312,310,308,306,304,302,300,298,
296,294,292,290,288,286,284,282,280,278,276,274,272,270,268,266,264,262,
260,258,256,254,252,250,248,246,244,242,240,238,236,234,232,230,228,226,
224,222,220,218,216,214,212,210,208,206,204,202,200,198,196,194,192,190,
188,186,184,182,180,178,176,174,172,170,168,166,164,162,160,158,156,154,
152,150,148,146,144,142,140,138,136,134,132,130,128,126,124,122,120,118,
116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,
80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,
44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,
8,6),(1,2,311)(3,499,123)(4,71,550)(5,178,442)(6,545,74)
(7,85,533)(8,370,247)(9,423,193)(10,104,511)(11,591,23)
(12,57,556)(13,388,224)(14,73,538)(15,192,418)(16,379,230)
(17,49,559)(18,265,342)(19,547,59)(20,386,219)(21,366,238)
(22,282,321)(24,432,169)(25,110,490)(26,413,186)(27,114,484)
(28,546,51)(29,222,374)(30,53,542)(31,611,599)(32,133,460)
(33,143,449)(34,347,244)(35,455,135)(36,348,241)(37,326,262)
(38,269,318)(39,526,60)(40,164,421)(41,491,93)(42,323,260)
(43,306,276)(44,64,517)(45,461,119)(46,235,344)(47,158,420)
(48,206,371)(50,494,81)(52,467,106)(54,198,373)(55,309,261)
(56,285,284)(58,113,454)(61,412,152)(62,263,300)(63,573,605)
(65,345,215)(66,565,610)(67,150,408)(68,341,216)(69,90,466)
(70,438,117)(72,551,618)(75,603,563)(76,594,571)(77,616,548)
(78,211,336)(79,181,365)(80,569,592)(82,139,404)(83,165,377)
(84,549,608)(86,267,272)(87,166,372)(88,102,435)(89,537,615)
(91,95,439)(92,308,225)(94,146,385)(96,583,562)(97,100,428)
(98,319,208)(99,195,331)(101,339,185)(103,393,129)(105,558,578)
(107,329,189)(108,174,343)(109,246,270)(111,518,612)(112,395,118)
(115,368,142)(116,358,151)(120,288,217)(121,171,333)(122,312,191)
(124,298,203)(125,232,268)(126,226,273)(127,240,258)(128,572,541)
(130,188,307)(131,581,529)(132,512,597)(134,295,196)(136,197,292)
(137,255,233)(138,508,595)(140,157,328)(141,149,335)(144,179,302)
(145,259,221)(147,207,271)(148,160,317)(153,175,297)(154,266,205)
(155,570,516)(156,532,553)(159,290,176)(161,577,503)(162,489,590)
(163,239,223)(167,587,487)(168,509,564)(170,213,242)(172,200,253)
(173,479,589)(177,228,220)(180,444,617)(182,212,231)(183,527,531)
(184,552,505)(187,520,534)(190,598,453)(194,522,525)(199,613,429)
(201,458,582)(202,464,575)(204,430,607)(209,596,436)(210,561,470)
(214,472,555)(218,483,540)(227,510,504)(229,519,493)(234,609,398)
(236,602,403)(237,476,528)(243,606,392)(245,457,539)(248,400,593)
(249,424,568)(250,456,535)(251,416,574)(252,614,375)(254,507,480)
(256,601,384)(257,441,543)(264,506,471)(274,586,381)(275,588,378)
(277,557,407)(278,387,576)(279,448,514)(280,357,604)(281,554,406)
(283,521,437)(286,411,544)(287,473,481)(289,451,501)(291,427,523)
(293,515,433)(294,465,482)(296,585,360)(299,580,362)(301,340,600)
(303,524,414)(304,353,584)(305,462,474)(310,500,431)(313,567,361)
(314,530,397)(315,434,492)(316,579,346)(320,443,478)(322,359,560)
(324,498,419)(325,447,469)(327,488,426)(330,425,486)(332,463,446)
(334,502,405)(337,566,338)(349,396,496)(350,355,536)(351,415,475)
(352,376,513)(354,390,497)(356,468,417)(363,477,401)(364,382,495)
(367,485,389)(369,422,450)(380,409,452)(383,459,399)(391,410,440)
(394,445,402)]],
[2,234884496,0,"2",[[617,1]],3,"L2,617 on projective points.2",
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30,55,480,604,194,355,361,127,184,423,428,5,568,328,178,543,320,79,
393,224,522,558,175,297,200,41,505,165,335,220,261,444,516,105,242,6,
611,70,173,121,13,357,244,226,479,336,592,206,424,572,281,439,418,350,
223,42,433,29)(2,508,104,495,314,187,119,98,256,581,113,331,561,201,
58,311,293,180,524,416,364,467,542,531,295,432,21,93,276,317,202,372,
32,496,337,240,362,595,15,313,144,458,217,610,359,209,585,532,109,114,
353,410,176,182,343,549,57,482,507,134,512,327,49,169,411,339,390,249,
582,345,245,218,100,216,451,23,290)(3,360,31,608,90,77,133,101,39,
491,239,287,259,279,300,71,168,154,420,232,615,60,476,269,334,520,406,
536,565,309,106,492,576,546,378,189,211,469,518,199,618,553,277,322,64,
291,306,398,85,325,396,415,349,453,248,587,596,365,284,384,52,472,171,
280,264,275,330,204,130,544,459,486,89,66,583,36,606)(4,193,387,367,
427,35,371,591,222,129,28,449,50,421,53,27,563,107,303,370,446,181,
490,414,373,589,59,155,16,385,255,464,307,541,67,186,38,316,395,346,
80,468,213,263,526,251,429,578,511,183,560,252,569,74,537,54,599,163,
358,94,37,603,456,419,34,162,598,515,523,329,136,195,225,102,145,43,438
)(7,413,197,614,318,8,462,540,409,504,527,440,441,363,474,301,95,233,
434,185,243,196,92,83,76,559,238,205,402,40,455,151,601,235,567,267,
283,149,605,551,87,140,381,272,399,190,111,125,400,417,556,379,376,517,
405,115,9,266,112,493,519,391,296,465,143,573,160,148,475,308,481,310,
489,574,12,214,513)(10,33,128,613,75,529,219,539,340,124,530,24,323,
525,579,48,227,56,229,62,389,377,580,394,72,241,146,18,44,425,271,
528,422,132,20,161,158,597,120,137,412,426,347,138,265,156,397,450,602,
548,388,254,270,586,302,552,386,82,497,135,332,299,594,461,454,445,341,
294,352,103,304,442,236,63,174,96,97)(11,274,324,69,457,191,142,221,
499,351,470,612,230,73,282,152,521,382,478,564,164,123,47,356,91,167,
234,430,590,510,484,116,487,88,509,408,315,562,166,502,110,170,150,344,
533,99,494,392,435,312,342,401,208,14,22,555,375,503,118,81,550,500,
443,179,374,554,483,616,463,584,285,593,354,26,575,108,286)
(17,203,268,61,477,538,305,117,383,369,466,237,258,278,250,298,46,498,
436,404,460,447,545,506,177,534,547,501,570,471,448,51,78,609,407,333,
207,262,273,257,366,65,485,153,253,172,557,566,289,84,188,122,141,212,
452,139,231,246,473,215,260,600,535,338,19,68,326,348,159,607,577,45,
431,228,588,617,131),(1,609,217,516,246,326,212,411,315,265,75,3,401,
482,237,144,385,130,193,119,560,378,430,154,19,451,241,594,268,239,443,
312,118,125,576,191,196,182,112,307,242,559,270,14,403,100,49,327,442,
583,150,387,233,225,464,297,445,493,455,613,608,164,12,22,345,500,250,
329,371,32,314,457,251,64,388,524,247,155,421,219,227,597,528,417,197,
318,390,406,62,469,167,336,324,86,87,285,369,468,552,134,135,513,501,
54,368,159,431,447,519,24,420,309,240,610,618,416,66,590,313,449,157,
586,380,523,189,466,508,587,337,492,199,209,57,229,224,382,344,392,540,
373,612,604,450,71,254,395,510,172,121,434,207,567,278,595,530,109,39,
25,30,261,96,103,525,394,598,569,243,596,386,202,67,407,459,277,102,
28,91,452,77,600,355,436,218,146,572,522,426,9,511,591,321,4,228,
2,161,279,259,31,614,535,302,223,190,578,558,60)(5,44,117,50,41,
615,478,145,437,178,305,565,281,332,248,185,245,370,149,486,356,274,367,
480,454,83,291,162,506,137,208,133,349,293,550,213,151,562,231,541,566,
476,46,211,170,29,123,435,603,360,282,89,561,365,195,106,42,444,427,
536,611,220,517,537,290,235,453,529,471,423,419,570,605,484,461,458,74,
280,483,551,538,462,187,169,210,381,581,23,79,97,574,266,425,221,363,
204,439,258,509,260,63,306,201,485,200,141,391,269,319,283,110,465,512,
230,497,311,428,108,599,205,479,549,334,165,335,527,584,153,257,156,215,
27,58,273,107,330,504,78,389,38,441,341,289,292,166,93,48,160,99,
304,415,236,120,85,346,94,148,362,188,105,322,432,494,377,186,126,264,
350,252,181,440,473,323,131,184,593,342,539,575,399,214,490,404,520,168,
69,543,499,255,295,553,82,521,413,18,140,408,374,45,174,206,249,129,
339,489,534)(6,65,580,68,253,310,502,56,503,288,358,16,238,113,409,
526,340,607,325,372,111,554,518,568,446,80,21,352,20,531,158,577,328,
579,398,17,474,616,412,571,263,124,142,198,256,456,11,52,34,375,299,
286,354,557,147,379,376,353,232,267,418,414,366,308,384,602,547,300,320,
617,226,301,410,393,179,115,26,472,276,132,555,477,234,402,98,192,51,
10,175,361,271,296,606,275,70,8,287,544,488,88,13,84,331,59,546,
138,383,357,470,563,481,351,72,467,592,36,589,505,556,272,532,43,400,
76,359,222,180,171,104,177,216,303,348,498,92,588,15,47,176,463,429,
81,203,424,316,139,284,542,582,338,294,152,53,317,433,347,7,438,262,
298,495,244,37,90,514,364,397,40,585,487,573,95,35,460,343,405,515,
116,33,475,73,127,491,136,101,601,422,533,122,61,173,128,55,545,548,
496,396,183,448,143,333,507,114,564,163,194)]],
[3,Factorial(618)/2,1,"2",[[617,1]],616,"A_n",["A",618,1],618],
[4,Factorial(618),0,"2",[[617,1]],618,"S_n",["A",618,1],618]];
PRIMGRP[619]:=
[[1,Factorial(619)/2,1,"2",[[618,1]],617,"A_n",["A",619,1],619],
[2,Factorial(619),0,"2",[[618,1]],619,"S_n",["A",619,1],619]];
PRIMGRP[620]:=
[[1,14880,1,"2",[[3,1],[6,2],[8,2],[12,5],[24,22]],1,
"L2,31#620.1",["L",[2,31],1],
[(1,167,11)(2,199,514)(3,261,151)(4,245,505)(5,212,7)(6,217,333)
(8,188,374)(9,73,388)(10,248,392)(12,228,197)(13,262,573)
(14,235,580)(15,256,565)(16,419,549)(17,330,271)(18,409,432)
(19,529,380)(20,415,405)(21,525,443)(22,67,97)(23,34,504)
(24,437,598)(25,446,597)(26,98,143)(27,178,202)(28,497,596)
(29,319,181)(30,511,395)(31,382,490)(32,412,424)(33,196,40)
(35,501,494)(36,528,590)(37,224,542)(38,111,341)(39,280,264)
(41,325,240)(42,84,467)(43,480,610)(44,502,619)(45,508,614)
(46,89,515)(47,335,258)(48,315,214)(49,318,180)(50,136,339)
(51,532,124)(52,189,433)(53,268,566)(54,390,537)(55,438,555)
(56,179,413)(57,476,306)(58,334,195)(59,61,307)(60,62,531)
(63,521,135)(64,520,595)(65,527,559)(66,526,589)(68,496,115)
(69,450,120)(70,346,125)(71,287,99)(72,301,138)(74,524,88)
(75,376,154)(76,429,109)(78,278,187)(79,211,294)(80,153,267)
(81,279,165)(82,114,444)(83,375,592)(85,474,557)(86,459,355)
(87,377,323)(90,265,201)(91,398,357)(92,397,461)(93,465,422)
(94,522,458)(95,142,462)(96,370,609)(100,451,617)(101,324,247)
(102,340,223)(103,227,485)(104,519,594)(105,253,329)(106,411,322)
(107,500,407)(108,408,558)(110,148,495)(112,350,246)(113,157,425)
(116,533,360)(117,402,312)(118,509,455)(119,238,144)(121,499,354)
(122,503,469)(123,486,414)(126,454,453)(127,468,615)(128,289,257)
(129,530,130)(131,518,396)(132,420,321)(133,410,512)(134,365,229)
(137,313,213)(139,456,308)(140,166,574)(141,466,599)(145,207,569)
(146,513,618)(147,309,170)(149,523,284)(150,286,266)(152,498,295)
(155,250,230)(156,293,272)(158,535,316)(159,222,364)(160,539,326)
(161,381,297)(162,575,349)(163,260,351)(164,254,367)(168,577,336)
(169,541,327)(171,482,352)(172,477,363)(173,493,282)(174,372,366)
(175,236,244)(176,571,288)(177,581,298)(182,198,314)(183,302,193)
(184,387,320)(185,358,241)(186,431,296)(190,379,362)(191,578,347)
(192,564,359)(194,252,337)(200,487,344)(203,436,305)(204,281,232)
(205,546,348)(206,570,292)(208,492,310)(209,548,311)(210,445,283)
(215,576,317)(216,353,242)(218,562,285)(219,404,342)(220,251,303)
(221,249,338)(225,545,332)(226,572,343)(231,582,300)(233,237,291)
(234,543,328)(239,373,345)(243,481,304)(259,449,277)(263,385,276)
(269,568,290)(270,563,356)(273,579,299)(274,567,361)(275,478,331)
(368,516,423)(369,553,602)(371,608,560)(378,552,603)(383,538,601)
(384,604,427)(389,585,442)(391,479,463)(393,534,600)(394,554,483)
(399,484,417)(400,447,606)(401,426,506)(403,517,510)(406,491,586)
(416,489,448)(418,584,561)(421,460,605)(428,472,588)(430,435,544)
(434,607,550)(439,587,441)(440,470,583)(452,616,620)(457,464,612)
(471,536,556)(473,593,611)(475,540,547)(507,591,613),
(1,385,576,192,391,456,77,327,510,238,347,81,123,596,264)(2,531,313,270,
368,147,610,15,139,415,216,243,436,573,341)(3,533,544,138,283,61,149,
16,156,248,198,17,498,586,196)(4,530,52,74,20,183,263,29,381,136,
158,412,217,375,542)(5,371,567,116,95,291,75,215,379,253,393,575,89,
513,590)(6,432,244,256,392,338,519,447,509,69,471,550,152,395,11)
(7,285,190,274,388,303,473,538,508,503,127,551,561,173,23)
(8,483,132,268,387,251,369,563,501,114,595,286,223,362,40)
(9,326,32,208,92,230,292,249,435,499,587,474,559,335,494)
(10,209,386,252,389,485,344,532,296,522,558,354,308,113,490)
(12,439,461,163,390,481,620,536,458,350,46,323,288,205,424)
(13,35,496,181,233,78,568,606,125,325,523,168,421,548,467)
(14,487,484,170,277,476,585,618,306,346,297,109,305,463,240)
(18,211,417,197,284,334,489,142,540,465,200,110,333,140,210)
(19,72,588,73,273,398,222,141,539,76,245,133,212,317,254)
(21,144,182,189,49,411,545,226,382,111,515,53,160,409,58)
(22,329,299,191,426,70,120,328,161,207,425,155,475,604,199)
(24,582,560,121,403,143,214,361,237,419,572,122,451,589,265)
(25,579,83,172,423,267,336,493,537,301,331,34,553,599,232)
(26,364,512,193,394,459,44,616,443,228,428,150,556,605,165)
(27,431,569,195,307,280,526,534,464,454,104,65,108,203,187)
(28,581,97,194,380,178,400,571,124,309,448,98,332,492,259)
(30,609,287,229,321,314,491,479,126,438,442,171,414,294,298)
(31,261,145,204,405,255,416,71,594,289,177,397,535,82,311)
(33,529,91,231,373,260,66,102,500,188,218,377,541,614,88)
(36,101,600,174,86,402,577,258,310,524,330,45,552,462,221)
(37,516,239,234,404,482,619,360,279,525,584,557,363,455,154)
(38,345,445,235,406,112,450,290,275,68,564,598,79,396,318)
(39,137,578,157,166,376,315,507,554,129,51,54,117,213,175)
(41,225,427,134,408,580,159,370,565,340,42,366,518,50,348)
(43,608,511,227,407,80,316,506,59,119,449,184,269,413,365)
(47,615,300,162,410)(48,418,546,224,429,90,520,549,164,62,128,601,106,
176,420)(55,602,186,99,293,151,242,401,167,339,351,472,497,583,63)
(56,130,278,179,206,374,337,440,131,84,486,219,247,353,514)
(57,115,202,180,236,433,319,470,446,480,502,441,100,547,96)
(60,153,430,185,257,302,478,148,591,504,250,383,562,146,612)
(64,85,603,87,266,358,201,357,367,528,466,593,468,452,611)
(67,295,355,272,384,574,103,453,276,262,399,477,555,359,488)
(93,617,304,246,320,505,342,457,607,444,352,469,312,343,517)
(94,135,324,271,241,372,566,356,118,437,495,220,378,543,613)
(105,434,570,169,422,281,527,592,282,521,322,349,107,460,597)]],
[2,118588020,1,"2",[[619,1]],2,"L2,619 on projective points.1",
["L",[2,619],1],
[(3,619,617,615,613,611,609,607,605,603,601,599,597,595,593,591,589,587,585,
583,581,579,577,575,573,571,569,567,565,563,561,559,557,555,553,551,549,
547,545,543,541,539,537,535,533,531,529,527,525,523,521,519,517,515,513,
511,509,507,505,503,501,499,497,495,493,491,489,487,485,483,481,479,477,
475,473,471,469,467,465,463,461,459,457,455,453,451,449,447,445,443,441,
439,437,435,433,431,429,427,425,423,421,419,417,415,413,411,409,407,405,
403,401,399,397,395,393,391,389,387,385,383,381,379,377,375,373,371,369,
367,365,363,361,359,357,355,353,351,349,347,345,343,341,339,337,335,333,
331,329,327,325,323,321,319,317,315,313,311,309,307,305,303,301,299,297,
295,293,291,289,287,285,283,281,279,277,275,273,271,269,267,265,263,261,
259,257,255,253,251,249,247,245,243,241,239,237,235,233,231,229,227,225,
223,221,219,217,215,213,211,209,207,205,203,201,199,197,195,193,191,189,
187,185,183,181,179,177,175,173,171,169,167,165,163,161,159,157,155,153,
151,149,147,145,143,141,139,137,135,133,131,129,127,125,123,121,119,117,
115,113,111,109,107,105,103,101,99,97,95,93,91,89,87,85,83,81,
79,77,75,73,71,69,67,65,63,61,59,57,55,53,51,49,47,45,
43,41,39,37,35,33,31,29,27,25,23,21,19,17,15,13,11,9,
7,5)(4,620,618,616,614,612,610,608,606,604,602,600,598,596,594,592,
590,588,586,584,582,580,578,576,574,572,570,568,566,564,562,560,558,556,
554,552,550,548,546,544,542,540,538,536,534,532,530,528,526,524,522,520,
518,516,514,512,510,508,506,504,502,500,498,496,494,492,490,488,486,484,
482,480,478,476,474,472,470,468,466,464,462,460,458,456,454,452,450,448,
446,444,442,440,438,436,434,432,430,428,426,424,422,420,418,416,414,412,
410,408,406,404,402,400,398,396,394,392,390,388,386,384,382,380,378,376,
374,372,370,368,366,364,362,360,358,356,354,352,350,348,346,344,342,340,
338,336,334,332,330,328,326,324,322,320,318,316,314,312,310,308,306,304,
302,300,298,296,294,292,290,288,286,284,282,280,278,276,274,272,270,268,
266,264,262,260,258,256,254,252,250,248,246,244,242,240,238,236,234,232,
230,228,226,224,222,220,218,216,214,212,210,208,206,204,202,200,198,196,
194,192,190,188,186,184,182,180,178,176,174,172,170,168,166,164,162,160,
158,156,154,152,150,148,146,144,142,140,138,136,134,132,130,128,126,124,
122,120,118,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,
86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,
50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,
14,12,10,8,6),(1,2,312)(3,311,313)(4,237,386)(5,602,20)
(6,162,459)(7,513,107)(8,116,503)(9,353,265)(10,390,227)
(11,577,39)(12,280,335)(13,366,248)(14,231,382)(15,336,276)
(16,35,576)(17,92,518)(18,195,414)(19,240,368)(21,547,59)
(22,619,604)(23,471,133)(24,196,407)(25,297,305)(26,375,226)
(27,206,394)(28,197,402)(29,291,307)(30,95,502)(31,146,450)
(32,103,492)(33,130,464)(34,370,223)(36,435,156)(37,408,182)
(38,119,470)(40,88,499)(41,62,524)(42,438,147)(43,448,136)
(44,74,509)(45,108,474)(46,420,161)(47,613,585)(48,589,608)
(49,126,452)(50,349,228)(51,324,252)(52,496,79)(53,244,330)
(54,497,76)(55,263,309)(56,113,458)(57,225,345)(58,381,188)
(60,331,236)(61,71,495)(63,484,80)(64,440,123)(65,411,151)
(66,233,328)(67,177,383)(68,445,114)(69,378,180)(70,148,409)
(72,155,400)(73,347,207)(75,194,358)(77,603,565)(78,310,239)
(81,274,272)(82,410,135)(83,167,377)(84,365,178)(85,221,321)
(86,198,343)(87,287,253)(89,143,395)(90,112,425)(91,416,120)
(93,316,218)(94,364,169)(96,373,158)(97,360,170)(98,318,211)
(99,338,190)(100,562,583)(101,175,351)(102,340,185)(104,332,191)
(105,255,267)(106,532,607)(109,374,144)(110,219,298)(111,617,517)
(115,550,580)(117,220,290)(118,205,304)(121,508,616)(122,529,594)
(124,235,268)(125,536,584)(127,570,548)(128,572,545)(129,553,563)
(131,355,141)(132,521,592)(134,329,164)(137,168,322)(138,232,257)
(139,301,187)(140,561,544)(142,282,203)(145,270,212)(149,278,200)
(150,516,579)(152,192,283)(153,601,491)(154,505,586)(157,299,171)
(159,285,183)(160,494,591)(163,202,262)(165,462,618)(166,511,568)
(172,498,575)(173,261,193)(174,478,593)(176,581,488)(179,556,510)
(181,201,245)(184,560,501)(186,582,477)(189,588,468)(199,512,534)
(204,578,463)(208,533,504)(210,429,606)(213,559,473)(214,542,489)
(215,476,554)(216,587,442)(217,428,600)(222,427,596)(224,469,552)
(229,481,535)(230,418,597)(234,614,397)(238,387,620)(241,447,557)
(242,393,610)(243,566,436)(246,555,444)(247,457,541)(249,598,398)
(250,515,480)(251,528,466)(254,590,401)(256,384,605)(258,611,376)
(259,540,446)(260,530,455)(264,527,454)(266,430,549)(269,493,483)
(271,615,359)(273,449,523)(275,574,396)(277,551,417)(279,399,567)
(281,426,538)(284,522,439)(286,525,434)(288,609,348)(289,344,612)
(292,520,433)(293,564,388)(294,380,571)(295,490,460)(296,391,558)
(300,573,372)(302,456,487)(303,403,539)(306,526,413)(308,531,406)
(314,546,385)(315,361,569)(317,333,595)(319,327,599)(320,419,506)
(323,485,437)(325,467,453)(326,405,514)(334,404,507)(337,537,371)
(339,465,441)(341,432,472)(342,482,421)(346,475,424)(350,543,352)
(354,479,412)(356,389,500)(357,369,519)(362,422,461)(363,451,431)
(367,392,486)(379,423,443)]],
[3,237176040,0,"2",[[619,1]],3,"L2,619 on projective points.2",
["L",[2,619],1],
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595,46,153,179,382,159,140,488,162,611,147,384,100,596,550,243,424,428,
16,414,127,241,281,601,122,149,579,232,24,22,40,499,505,325,104,303,
220,377,346,273,437,361,160,417,233,463,494,353,362,115,44,328,609,432,
163,120,506,531,146,278,517,282,77,51,379,30,183,199,264,593,519,562,
484,270,441,530,50,144,617,98,360,486,97,383,117,434,516,469,191,134,
400,487,324,547,404,485,394,197,108,111,300,508,184,69,354)
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483,436,518,217,569,237,466,592,236,335,190,284,422,511,64,468,390,433,
359,70,135,151,304,573,283,257,52,435,56,188,421,446,214,171,520,343,
6,290,219,590,599,458,489,101,535,174,591,515,61,606,575,114,31,230,
9,447,453,294,312,310,102,373,185,212,351,53,93,207,538,318,524,528,
91,402,356,234,568,187,341,172,464,194,175,570,155,181,288,357,55,443,
419,602,410,315,561,332,27,213,20,460,206,580,250,532,92,235)
(3,67,168,251,123,105,427,86,470,521,612,33,109,193,451,202,75,536,
604,79,352,231,37,497,462,456,112,158,215,339,165,269,133,585,258,555,
474,35,549,198,60,7,333,152,336,54,523,298,138,495,378,614,178,374,
358,42,293,285,124,145,45,380,247,32,272,170,95,344,94,319,256,545,
369,320,564,566,342,47,347,277,387,4,439,253,25,131,208,308,96,216,
512,28,365,249,266,363,560,375,526,113,376,59,29,322,366,471,459,291,
559,514,161,63,584,21,510,345,540,38,445,80,418,177,90,192)
(5,58,551,252,245,603,618,11,541,473,381,389,554,148,167,186,398,563,
571,479,411,323,334,349,89,82,401,276,329,543,544,317,527,395,522,529,
72,415,106,261,88,556,588,370,107,449,209,450,326,581,195,500,615,461,
205,597,311,180,74,18,218,71,480,504,110,286,477,539,553,268,567,39,
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71,425,277,120,242,97,338,355,60,411,289,109,228,87,348,365,66,424,
283,104,231,76,332,371,75,402,295,117,247,88,330,360,61,414,284,103,
237,98,340,366,74,408,279,106,226,82,346,375,52,420,292,122,238,80,
335,361,64,409,278,112,248,90,341,374,58,404,281,101,232,96,350,352,
70,417,297,113,230,85,336,364,59,403,287,123,240,91,349,358,54,406,
276,107,246,100,327,370,67,422,288,105,235,86,339,359,53,412,298,115,
241,99,333,354,56,401,282,121,250,77,345,367,72,413,280,110,236,89,
334,353,62,423,290,116,249,83,329,356)(68,418,293,118,243,93,343,368)
(69,419,294,119,244,94,344,369)(126,382,621,325,477,545,217,197,513,130,
385,611,314,484,528,212,198,515,141,399,608,304,481,526,207,196,525,127,
395,617,322,488,530,210,186,514,134,378,612,323,490,541,224,183,504,131,
376,607,321,500,527,220,192,522,138,380,610,311,489,534,203,187,523,140,
391,624,308,479,531,201,182,521,150,377,620,317,497,538,205,185,511,139,
384,603,312,498,540,216,199,508,129,381,601,307,496,550,202,195,517,147,
388,605,310,486,539,209,178,512,148,390,616,324,483,529,206,176,507,146,
400,602,320,492,547,213,180,510,136,389,609,303,487,548,215,191,524,133,
379,606,301,482,546,225,177,520,142,397,613,305,485,536,214,184,503,137,
398,615,316,499,533,204,181,501,132,396,625,302,495,542,222,188,505,135,
386,614,309,478,537,223,190,516,149,383,604,306,476,532,221,200,502,145,
392,622,313,480,535,211,189,509,128,387,623,315,491,549,208,179,506)
(143,393,618,318,493,543,218,193,518)(144,394,619,319,494,544,219,194,519)
(251,257,271,275,252,270,267,272,263,255,260,261,264,259,253,262,273,265,
266,274,258,254,256)(551,557,571,575,552,570,567,572,563,555,560,561,564,
559,553,562,573,565,566,574,558,554,556),
(1,511,617,314,470,487,159,341,35,88,254,131,407,576,515,292,303,220,496,
559,347,185,80,429,127,357,600,15,286,603,214,471,562,172,191,30,438,
252,356,425)(2,361,625,14,461,612,164,466,37,163,266,31,413,251,506,
417,301,520,492,309,345,485,84,329,135,82,579,140,282,578,215,296,553,
222,196,555,447,177,355,450)(3,211,621,564,472,187,155,441,27,363,275,
6,411,601,514,467,312,170,491,34,338,260,81,404,126,507,592,315,295,
478,209,346,560,97,179,130,432,577,365,300)(4,136,607,589,465,287,153,
216,46,563,272,181,405,426,502,367,325,20,486,609,339,460,87,154,141,
32,588,265,281,403,201,521,567,322,195,480,434,327,360,100)
(5,436,602,364,475,12,161,616,39,463,262,156,416,26,513,267,306,420,
476,509,342,310,95,479,134,332,585,90,279,128,207,596,565,297,178,205,
446,552,372,200)(7,586,615,289,453,212,171,566,47,188,255,431,402,351,
525,17,311,620,489,459,337,160,91,29,138,257,581,415,276,503,217,321,
570,497,184,330,435,77,354,150)(8,236,623,539,469,112,158,241,48,538,
269,106,408,226,523,542,319,120,483,234,348,535,94,104,133,232,598,540,
294,103,208,246,573,547,194,105,433,227,373,550,19,111,608,239,473,537,
169,116,33,238,273,531,419,101,508,242,323,545,494,109,333,235,98,529,
144,107,583,240,298,528,219,121,558,247,198,530,444,102,358,250,23,536,
619,114,458,237,173,541,44,113,258,231,423,526,519,117,308,245,498,534,
344,110,83,229,148,532,594,115,283,228,223,546,569,122,183,230,448,527,
369,125)(9,336,610,89,454,137,157,591,40,288,253,206,421,551,522,192,
305,445,477,359,350,10,86,604,139,457,587,165,291,28,213,271,556,422,
176,505,442,302,370,500)(11,611,614,464,462,162,166,41,38,263,256,406,
401,501,517,317,320,495,484,334,335,85,79,129,132,582,590,290,278,203,
221,571,572,197,180,430,427,352,375,25)(13,261,606,414,451,512,167,316,
45,488,259,331,410,76,504,142,307,595,490,284,328,210,96,554,147,182,
580,440,277,353,225,21,561,622,189,455,437,152,366,50)(16,36,613,264,
456,412,151,516,42,313,270,481,409,326,510,92,304,145,482,584,340,285,
78,204,146,557,597,190,280,428,202,371,575,22,186,605,439,452,362,175)
(18,61,618,64,468,62,168,66,43,63,268,56,418,51,518,67,318,70,
493,59,343,60,93,54,143,57,593,65,293,53,218,71,568,72,193,55,
443,52,368,75)(24,386,624,389,474,387,174,391,49,388,274,381,424,376,
524,392,324,395,499,384,349,385,99,379,149,382,599,390,299,378,224,396,
574,397,199,380,449,377,374,400)(58,243,73,543,69,118)(74,393)
(108,233,248,548,544,119)(123,533,244)(124,383,249,398,549,394)]],
[4,481195274016664096174671252691208896512000000000000,0,"4c",
[[48,1],[576,1]],1,"A25 on 1-sets^2.4",["A",25,2],
[(1,96,389,520,104,484,530,333,606,276,146,439,195,579,9,80,383,506,101,
496,539,345,604,284,130,433,181,576,21,89,395,504,109,480,533,331,601,
296,139,445,179,584,5,83,381,501,121,489,545,329,609,280,133,431,176,
596,14,95,379,509,105,483,531,326,621,289,145,429,184,580,8,81,376,
521,114,495,529,334,605,283,131,426,196,589,20,79,384,505,108,481,526,
346,614,295,129,434,180,583,6,76,396,514,120,479,534,330,608,281,126,
446,189,595,4,84,380,508,106,476,546,339,620,279,134,430,183,581)
(2,86,394,525,124,485,538,327,611,294,150,449,185,588)(3,92,398,503,
117,498,528,342,623,278,142,448,178,592,23,78,392,523,103,492,548,328,
617,298,128,442,198,578,17,98,378,517,123,478,542,348,603,292,148,428,
192,598)(7,87,382,512,107,487,532,337,607,287,132,437,182,587)
(10,88,377,511,119,500,549,335,613,277,136,444,200,599)(11,94,400,524,
110,488,527,336,619,300,149,435,188,577)(12,82,387,507,112,482,537,332,
612,282,137,432,187,582)(13,77,386,519,125,499,535,338,602,286,144,450,
199,585)(15,93,391,522,115,493,541,347,615,293,141,447,190,593,16,97,
390,518,116,497,540,343,616,297,140,443,191,597)(18,91,397,515,118,491,
547,340,618,291,147,440,193,591,22,90,393,516,122,490,543,341,622,290,
143,441,197,590)(19,100,399,510,113,477,536,344,625,299,135,438,177,586)
(24,85,388,502,111,494,550,349,610,288,127,436,194,600)(25,99,385,513,
102,486,544,350,624,285,138,427,186,594)(26,246,39,245,29,234,30,233,
31,226,46,239,45,229,34,230,33,231)(27,236,44,250,49,235,38,227,
36,244,50,249,35,238)(28,242,48,228,42,248)(32,237)(37,232)
(40,243,41,247)(43,241,47,240)(51,221,414,170,254,309,555,358,56,201,
421,164,270,304,559,355,58,206,401,171,264,320,554,359,55,208,406,151,
271,314,570,354,59,205,408,156,251,321,564,370,54,209,405,158,256,301,
571,364,70,204,409,155,258,306,551,371,64,220,404,159,255,308,556,351,
71,214,420,154,259,305,558,356)(52,211,419,175,274,310,563,352,61,219,
425,174,260,313,552,361,69,225,424,160,263,302,561,369,75,224,410,163,
252,311,569,375,74,210,413,152,261,319,575,374,60,213,402,161,269,325,
574,360,63,202,411,169,275,324,560,363)(53,217,423,153,267,323,553,367,
73,203,417,173,253,317,573,353,67,223,403,167,273,303,567,373)
(57,212,407,162,257,312,557,362)(62,207,412,157,262,307,562,357)
(65,218,416,172,265,318,566,372)(66,222,415,168,266,322,565,368)
(68,216,422,165,268,316,572,365)(72,215,418,166,272,315,568,366)
(451,471,464,470,454,459,455,458,456)(452,461,469,475,474,460,463)
(453,467,473)(457,462)(465,468,466,472),
(1,219,545,483,507,400,149,112,401,209,170,480,82,393,274,117,176,202,370,
490,7,394,549,108,501,225,145,487,407,384,174,105,76,218,270,492,182,
377,374,115)(2,369,540,8,519,550,133,512,425,134,162,405,84,168,255,
92,193,252,367,190)(3,244,548,583,504,450,136,287,413,59,153,230,98,
593,254,442,186,277,363,65)(4,444,536,283,513,75,128,237,423,584,154,
430,86,293,263,67,178,227,373,590)(5,94,543,258,517,200,127,362,415,
9,169,530,83,518,275,142,187,402,359,165)(6,44,541,458,522,575,131,
37,416,459,172,555,81,43,266,467,197,552,356,40,16,469,547,558,506,
50,141,462,422,559,156,30,91,468,272,567,181,27,366,465,22,569,531,
33,516,475,147,562,406,34,166,455,97,568,256,42,191,452,372,565)
(10,319,546,333,510,325,146,337,410,309,171,330,85,318,271,342,185,302,
371,340)(11,294,538,58,503,250,148,587,404,434,161,280,88,68,253,242,
198,577,354,440)(12,419,534,158,505,100,143,262,417,184,152,355,90,18,
269,542,183,502,375,140)(13,69,528,233,523,600,129,437,411,284,163,55,
78,243,273,592,179,427,361,290)(14,619,539,608,514,625,139,612,414,609,
164,605,89,618,264,617,189,602,364,615)(15,19,544,533,508,525,150,137,
412,409,159,155,80,93,268,267,192,177,352,365)(17,194,527,358,515,25,
144,537,408,509,175,130,87,418,259,167,180,77,368,265)(20,494,532,383,
524,125,126,212,420,484,157,380,99,118,251,217,195,477,357,390,24,119,
526,208,520,500,132,387,424,109,151,205,95,493,257,392,199,102,351,215)
(21,344,535,308,521,350,135,312,421,334,160,305,96,343,260,317,196,327,
360,315)(23,594,529,433,511,300,138,62,403,234,173,580,79,443,261,292,
188,52,353,240)(26,216,470,497,557,381,49,116,451,222,570,481,32,391,
474,122,551,206,45,491,457,397,574,106)(28,241,473,597,554,431,36,291,
463,72,553,231,48,591,454,447,561,281,38,66,453,247,573,581,29,441,
461,297,563,56)(31,41,466,472,572,556)(35,316,471,347,560,306,46,341,
460,322,571,331)(39,616,464,622,564,606)(47,566,456)(51,203,245,498,582,
379,449,111,276,213,70,478,232,398,599,104,426,211,295,488,57,378,249,
123,576,204,445,486,282,388,74,103,226,223,595,479,432,386,299,113)
(53,228,248,598,579,429,436,286,288,63)(54,428,236,298,588)
(60,303,246,348,585,304,446,336,285,313,71,328,235,323,596,329,435,311,
296,338)(61,278,238,73,578,229,448,586,279,438)(64,603,239,623,589,604,
439,611,289,613)(101,201,220,495,482,382,399,124)(107,376,224,120,476,207,
395,499)(110,301,221,345,485,307,396,349)(114,601,214,620,489,607,389,624)
(121,326,210,320,496,332,385,324)(310,321,346,335)(314,621,339,610)]],
[5,51840000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.1",["A",5,4],
[(1,114,605,594,203,184,426,414,280,269,3,109,601,589,205,194,428,409,276,
264,5,119,603,584,201,189,430,419,278,259)(2,124,602,599,202,199,427,
424,277,274)(4,104,604,579,204,179,429,404,279,254)(6,111,615,595,218,
183,431,411,290,270,18,108,606,586,215,195,443,408,281,261,15,120,618,
583,206,186,440,420,293,258)(7,121,612,600,217,198,432,421,287,275,17,
123,607,596,212,200,442,423,282,271,12,125,617,598,207,196,437,425,292,273
)(8,106,611,590,220,193,433,406,286,265,20,118,608,581,211,190,445,418,
283,256,11,115,620,593,208,181,436,415,295,268)(9,101,614,580,219,178,
434,401,289,255,19,103,609,576,214,180,444,403,284,251,14,105,619,578,
209,176,439,405,294,253)(10,116,613,585,216,188,435,416,288,260,16,113,
610,591,213,185,441,413,285,266,13,110,616,588,210,191,438,410,291,263)
(21,112,625,592,223,182,446,412,300,267,23,107,621,587,225,192,448,407,
296,262,25,117,623,582,221,187,450,417,298,257)(22,122,622,597,222,197,
447,422,297,272)(24,102,624,577,224,177,449,402,299,252)(26,364,505,94,
228,559,451,164,305,394,28,359,501,89,230,569,453,159,301,389,30,369,
503,84,226,564,455,169,303,384)(27,374,502,99,227,574,452,174,302,399)
(29,354,504,79,229,554,454,154,304,379)(31,361,515,95,243,558,456,161,
315,395,43,358,506,86,240,570,468,158,306,386,40,370,518,83,231,561,
465,170,318,383)(32,371,512,100,242,573,457,171,312,400,42,373,507,96,
237,575,467,173,307,396,37,375,517,98,232,571,462,175,317,398)
(33,356,511,90,245,568,458,156,311,390,45,368,508,81,236,565,470,168,
308,381,36,365,520,93,233,556,461,165,320,393)(34,351,514,80,244,553,
459,151,314,380,44,353,509,76,239,555,469,153,309,376,39,355,519,78,
234,551,464,155,319,378)(35,366,513,85,241,563,460,166,313,385,41,363,
510,91,238,560,466,163,310,391,38,360,516,88,235,566,463,160,316,388)
(46,362,525,92,248,557,471,162,325,392,48,357,521,87,250,567,473,157,
321,387,50,367,523,82,246,562,475,167,323,382)(47,372,522,97,247,572,
472,172,322,397)(49,352,524,77,249,552,474,152,324,377)(51,489,530,344,
128,59,476,539,330,144,53,484,526,339,130,69,478,534,326,139,55,494,
528,334,126,64,480,544,328,134)(52,499,527,349,127,74,477,549,327,149)
(54,479,529,329,129)(56,486,540,345,143,58,481,536,340,145,68,483,531,
336,140,70,493,533,331,136,65,495,543,333,131,61,490,545,343,133)
(57,496,537,350,142,73,482,546,337,150,67,498,532,346,137,75,492,548,
332,146,62,500,542,348,132,71,487,550,342,148)(60,491,538,335,141,63,
485,541,338,135,66,488,535,341,138)(72,497,547,347,147),
(1,411,480,277,175,345,273,596,458,553,534,60,314,124,87,238,617,132,191,
394)(2,161,495,252,171,470,253,546,460,303,549,85,313,624,82,188,619,
7,186,494)(3,536,485,302,174,95,263,621,457,178,544,10,311,499,77,
163,620,257,196,469)(4,36,490,352,172,220,268,521,456,428,529,35,315,
374,97,213,618,507,181,444)(5,286,500,327,173,595,258,571,459,53,539,
110,312,249,92,138,616,382,176,419)(6,436,479,27,165,370,272,221,468,
503,531,435,304,49,90,363,622,207,193,519)(8,561,484,52,164,120,262,
246,467,128,541,385,301,424,80,288,625,332,198,594)(9,61,489,102,162,
245,267,146,466,378,526,410,305,299,100,338,623,582,183,569)
(11,486,477,152,170,270,271,471,453,528,535,310,324,99,88,613,607,182,
194,19)(12,236,492,127,166,395,251,421,455,278,550,335,323,599,83,563,
609,57,189,119)(13,611,482,177,169,20,261,496,452,153,545,260,321,474,
78,538,610,307,199,94)(14,111,487,227,167,145,266,396,451,403,530,285,
325,349,98,588,608,557,184,69)(15,361,497,202,168,520,256,446,454,28,
540,360,322,224,93,513,606,432,179,44)(16,386,476,402,155,295,275,346,
473,578,533,560,309,74,89,113,612,232,192,144)(17,136,491,377,151,420,
255,296,475,328,548,585,308,574,84,63,614,107,187,244)(18,511,481,427,
154,45,265,371,472,203,543,510,306,449,79,38,615,357,197,219)
(21,461,478,527,160,320,274,96,463,603,532,185,319,24,86,488,602,157,
195,269)(22,211,493,502,156,445,254,46,465,353,547,210,318,524,81,438,
604,32,190,369)(23,586,483,552,159,70,264,121,462,228,542,135,316,399,
76,413,605,282,200,344)(25,336,498,577,158,570,259,71,464,103,537,235,
317,149,91,388,601,407,180,294)(26,415,355,297,225,343,523,581,433,554,
34,65,364,122,212,243,517,131,441,379)(29,40,365,372,222,218,518,506,
431,429)(30,290,375,347,223,593,508,556,434,54,39,115,362,247,217,143,
516,381,426,404)(31,440,354,47,215,368,522,206,443,504)(33,565,359,72,
214,118,512,231,442,129,41,390,351,422,205,293,525,331,448,579)
(37,240,367,147,216,393,501,406,430,279,50,340,373,597,208,568,509,56,
439,104)(42,140,366,397,201,418,505,281,450,329,48,590,358,572,209,68,
514,106,437,229)(43,515,356,447,204)(51,414,105,287,250,342,148,591,383,
551,409,55,289,125,337,248,592,133,566,384)(58,564,109,62,239,117,137,
241,392,126,416,380,276,425,330,298,600,333,573,584)(59,64,114,112,237,
242,142,141,391,376,401,405,280,300,350,348,598,583,558,559)
(66,389,101,412,230,292,150,341,398,576,408,555,284,75,339,123,587,233,
567,134)(67,139,116,387,226,417,130,291,400,326,423,580,283,575,334,73,
589,108,562,234)]],
[6,51840000,0,"4c",[[16,1],[32,3],[256,2]],1,
"L2,4 on projective points^4.2",["A",5,4],
[(1,263,598,205,360,496,141,8,463,595,105,361,521,128,333,475,245,106,386,
518,78,340,625,226,256,398,218,85,490,616)(2,313,597,180,357,446,142,
58,462,570,102,311,522,178,332,450,242,56,387,568,77,315,622,176,257,
448,217,60,487,566)(3,338,600,230,356,396,143,83,465,620,101,261,523,
203,335,500,241,6,388,593,80,365,621,126,258,473,220,110,486,516)
(4,288,599,155,359,421,144,33,464,545,104,286,524,153,334,425,244,31,
389,543,79,290,624,151,259,423,219,35,489,541)(5,363,596,130,358,471,
145,108,461,520,103,336,525,228,331,400,243,81,390,618,76,265,623,201,
260,498,216,10,488,591)(7,438,592,55,362,571,127,308,472,195,107,436,
517,53,337,575,227,306,397,193,82,440,617,51,262,573,202,310,497,191)
(9,413,594,30,364,546,129,283,474,170,109,411,519,28,339,550,229,281,
399,168,84,415,619,26,264,548,204,285,499,166)(11,513,578,330,375,246,
131,383,468,95,115,611,501,253,348,225,235,481,391,18,88,590,605,351,
271,148,208,460,495,116)(12,563,577,305,372,196,132,433,467,70,112,561,
502,303,347,200,232,431,392,68,87,565,602,301,272,198,207,435,492,66)
(13,588,580,355,371,146,133,458,470,120,111,511,503,328,350,250,231,381,
393,93,90,615,601,251,273,223,210,485,491,16)(14,538,579,280,374,171,
134,408,469,45,114,536,504,278,349,175,234,406,394,43,89,540,604,276,
274,173,209,410,494,41)(15,613,576,255,373,221,135,483,466,20,113,586,
505,353,346,150,233,456,395,118,86,515,603,326,275,248,206,385,493,91)
(17,63,587,555,352,321,147,183,457,445,117,61,512,553,327,325,247,181,
382,443,92,65,612,551,252,323,222,185,482,441)(19,38,589,530,354,296,
149,158,459,420,119,36,514,528,329,300,249,156,384,418,94,40,614,526,
254,298,224,160,484,416)(21,138,583,455,370,121,136,508,453,345,125,236,
506,378,343,100,240,606,376,268,98,215,610,476,266,23,213,585,480,366)
(22,188,582,430,367,71,137,558,452,320,122,186,507,428,342,75,237,556,
377,318,97,190,607,426,267,73,212,560,477,316)(24,163,584,405,369,46,
139,533,454,295,124,161,509,403,344,50,239,531,379,293,99,165,609,401,
269,48,214,535,479,291)(25,238,581,380,368,96,140,608,451,270,123,211,
510,478,341)(27,314,547,179,282,449,167,59,412,569)(29,289,549,154,284,
424,169,34,414,544)(32,439,542,54,287,574,152,309,422,194)
(37,564,527,304,297,199,157,434,417,69)(39,539,529,279,299,174,159,409,
419,44)(42,64,537,554,277,324,172,184,407,444)(47,189,532,429,292,74,
162,559,402,319)(49,164,534,404,294)(52,312,572,177,307,447,192,57,437,
567)(62,562,552,302,322,197,182,432,442,67)(72,187,557,427,317),
(1,581,544,374,255,210,167,497,378,83,41,621,504,334,295,250,127,457,418,
123)(2,456,543,124,251,585,169,372,380,208,42,496,503,84,291,625,129,
332,420,248)(3,81,541,624,254,335,170,247,377,458,43,121,501,584,294,
375,130,207,417,498)(4,331,545,249,252,460,168,122,376,583,44,371,505,
209,292,500,128,82,416,623)(5,206,542,499,253,85,166,622,379,333,45,
246,502,459,293,125,126,582,419,373)(6,531,549,274,260,160,172,397,383,
33,46,521,509,284,300,150,132,407,423,23)(7,406,548,24,256,535,174,
272,385,158,47,396,508,34,296,525,134,282,425,148)(8,31,546,524,259,
285,175,147,382,408,48,21,506,534,299,275,135,157,422,398)
(9,281,550,149,257,410,173,22,381,533,49,271,510,159,297,400,133,32,
421,523)(10,156,547,399,258,35,171,522,384,283,50,146,507,409,298,25,
131,532,424,273)(11,556,539,324,265,185,162,447,388,58,36,571,514,309,
290,200,137,432,413,73)(12,431,538,74,261,560,164,322,390,183,37,446,
513,59,286,575,139,307,415,198)(13,56,536,574,264,310,165,197,387,433,
38,71,511,559,289,325,140,182,412,448)(14,306,540,199,262,435,163,72,
386,558,39,321,515,184,287,450,138,57,411,573)(15,181,537,449,263,60,
161,572,389,308,40,196,512,434,288,75,136,557,414,323)(16,606,529,349,
270,235,152,472,393,108,26,596,519,359,280,225,142,482,403,98)
(17,481,528,99,266,610,154,347,395,233,27,471,518,109,276,600,144,357,
405,223)(18,106,526,599,269,360,155,222,392,483,28,96,516,609,279,350,
145,232,402,473)(19,356,530,224,267,485,153,97,391,608,29,346,520,234,
277,475,143,107,401,598)(20,231,527,474,268,110,151,597,394,358,30,221,
517,484,278,100,141,607,404,348)(51,586,569,364,305,215,192,487,428,88,
66,611,554,339,320,240,177,462,443,113)(52,461,568,114,301,590,194,362,
430,213,67,486,553,89,316,615,179,337,445,238)(53,86,566,614,304,340,
195,237,427,463,68,111,551,589,319,365,180,212,442,488)(54,336,570,239,
302,465,193,112,426,588,69,361,555,214,317,490,178,87,441,613)
(55,211,567,489,303,90,191,612,429,338,70,236,552,464,318,115,176,587,
444,363)(61,561,564,314,315,190,187,437,438,63)(62,436,563,64,311,565,
189,312,440,188)(65,186,562,439,313)(76,591,619,354,330,220,242,477,453,
93,116,601,579,344,370,230,202,467,493,103)(77,466,618,104,326,595,244,
352,455,218,117,476,578,94,366,605,204,342,495,228)(78,91,616,604,329,
345,245,227,452,468,118,101,576,594,369,355,205,217,492,478)
(79,341,620,229,327,470,243,102,451,593,119,351,580,219,367,480,203,92,
491,603)(80,216,617,479,328,95,241,602,454,343,120,226,577,469,368,105,
201,592,494,353)]],
[7,103680000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.3",["A",5,4],
[(1,29,409,482,617,516)(2,529,406,107,619,391)(3,154,408,232,618,141)
(4,404,407,607,616,16)(5,279,410,357,620,266)(6,104,419,382,602,541)
(7,604,416)(8,229,418,132,603,166)(9,479,417,507,601,41)
(10,354,420,257,605,291)(11,79,414,457,612,591)(12,579,411,82,614,466)
(13,204,413,207,613,216)(14,454,412,582,611,91)(15,329,415,332,615,341)
(17,504,401,32,609,491)(18,129,403,157,608,241)(19,379,402,532,606,116)
(20,254,405,282,610,366)(21,54,424,432,622,566)(22,554,421,57,624,441)
(23,179,423,182,623,191)(24,429,422,557,621,66)(25,304,425,307,625,316)
(26,34,484,492,517,501)(27,534,481,117,519,376)(28,159,483,242,518,126)
(30,284,485,367,520,251)(31,109,494,392,502,526)(33,234,493,142,503,151)
(35,359,495,267,505,276)(36,84,489,467,512,576)(37,584,486,92,514,451)
(38,209,488,217,513,201)(39,459,487,592,511,76)(40,334,490,342,515,326)
(42,509,476)(43,134,478,167,508,226)(44,384,477,542,506,101)
(45,259,480,292,510,351)(46,59,499,442,522,551)(47,559,496,67,524,426)
(48,184,498,192,523,176)(49,434,497,567,521,51)(50,309,500,317,525,301)
(52,549,431,122,569,396)(53,174,433,247,568,146)(55,299,435,372,570,271)
(56,124,444,397,552,546)(58,249,443,147,553,171)(60,374,445,272,555,296)
(61,99,439,472,562,596)(62,599,436,97,564,471)(63,224,438,222,563,221)
(64,474,437,597,561,96)(65,349,440,347,565,346)(68,149,428,172,558,246)
(69,399,427,547,556,121)(70,274,430,297,560,371)(71,74,449,447,572,571)
(72,574,446)(73,199,448,197,573,196)(75,324,450,322,575,321)
(77,539,456,112,594,386)(78,164,458,237,593,136)(80,289,460,362,595,261)
(81,114,469,387,577,536)(83,239,468,137,578,161)(85,364,470,262,580,286)
(86,89,464,462,587,586)(87,589,461)(88,214,463,212,588,211)
(90,339,465,337,590,336)(93,139,453,162,583,236)(94,389,452,537,581,111)
(95,264,455,287,585,361)(98,189,473,187,598,186)(100,314,475,312,600,311)
(102,544,381)(103,169,383,227,543,131)(105,294,385,352,545,256)
(106,119,394,377,527,531)(108,244,393,127,528,156)(110,369,395,252,530,281)
(113,219,388,202,538,206)(115,344,390,327,540,331)(118,144,378,152,533,231)
(120,269,380,277,535,356)(123,194,398,177,548,181)(125,319,400,302,550,306)
(128,153,158,233,243,143)(130,278,160,358,245,268)(133,228,168)
(135,353,170,258,230,293)(138,203,163,208,238,218)(140,328,165,333,240,343)
(145,253,155,283,235,368)(148,178,173,183,248,193)(150,303,175,308,250,318)
(180,298,185,373,195,273)(188,223)(190,348)(200,323)(205,288,210,363,220,263
)(215,338)(225,313)(255,280,285,360,370,270)(260,355,295)(265,330,290,335,
365,345)(275,305,300,310,375,320)(315,350),
(1,529,167,82,53,401,537,17,79,153,407,62)(2,29,152,32,52,26,527,
42,77,28,402,37)(3,404,162,7,54,151,532,67,76,528,417,87)
(4,154,157,57,51,526,542,92,78,403,412,12)(5,279,172,107,55,276,
547,117,80,278,422,112)(6,554,166,582,68,451,538,392,89,128,409,187)
(8,429,161,507,69,201,533,442,86,503,419,212)(9,179,156,557,66,576,
543,467,88,378,414,137)(10,304,171,607,70,326,548,492,90,253,424,237)
(11,504,169,207,58,426,536,517,94,203,408,437)(13,379,164,132,59,176,
531,567,91,578,418,462)(14,129,159,182,56,551,541,592,93,453,413,387)
(15,254,174,232,60,301,546,617,95,328,423,487)(16,579,168,457,63,376,
539,142,84,178,406,562)(18,454,163,382,64,126,534,192,81,553,416,587)
(19,204,158,432,61,501,544,217,83,428,411,512)(20,329,173,482,65,251,
549,242,85,303,421,612)(21,604,170,332,73,476,540,267,99,228,410,312)
(22,104,155,282,72,101,530,292,97,103,405,287)(23,479,165,257,74,226,
535,317,96,603,420,337)(24,229,160,307,71,601,545,342,98,478,415,262)
(25,354,175,357,75,351,550,367,100,353,425,362)(30,277,47,102)
(31,552,41,577,43,452,38,377,39,127,34,177)(33,427,36,502,44,202)
(35,302,46,602,45,327,48,477,40,252,49,227)(50,352)(105,280,297,122)
(106,555,291,597,118,455,288,397,114,130,284,197)(108,430,286,522,119,205,
283,447,111,505,294,222)(109,180,281,572,116,580,293,472,113,380,289,147)
(110,305,296,622,120,330,298,497,115,255,299,247)(121,605,295,347,123,480,
290,272,124,230,285,322)(125,355,300,372)(131,559,191,581,568,466,588,393,
464,138,384,189)(133,434,186,506,569,216,583,443,461,513,394,214)
(134,184,181,556,566,591,593,468,463,388,389,139)(135,309,196,606,570,341,
598,493,465,263,399,239)(136,509,194,206,558,441,586,518,469,213,383,439)
(140,259,199,231,560,316,596,618,470,338,398,489)(141,584,193,456,563,391,
589,143,459,188,381,564)(144,209,183,431,561,516,594,218,458,438,386,514)
(145,334,198,481,565,266,599,243,460,313,396,614)(146,609,195,331,573,491,
590,268,474,238,385,314)(148,484,190,256,574,241,585,318,471,613,395,339)
(149,234,185,306,571,616,595,343,473,488,390,264)(150,359,200,356,575,366,
600,368,475,363,400,364)(208,433,436,511,519,219)(210,308,446,611,520,344,
223,483,440,261,524,244)(211,508,444)(215,258,449,236,510,319,221,608,445,
336,523,494)(220,333,448,486,515,269,224,233,435,311,521,619)
(225,358,450,361,525,369)(235,310,321,621,620,345,348,498,490,265,274,249)
(240,260,324,246,610,320,346,623,495,340,273,499)(245,335,323,496,615,270,
349,248,485,315,271,624)(250,360,325,371,625,370,350,373,500,365,275,374)
]],[8,103680000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],
1,"L2,4 on projective points^4.4",["A",5,4],
[(1,151,326)(2,153,329)(3,154,327)(4,152,328)(5,155,330)(6,161,346)
(7,163,349)(8,164,347)(9,162,348)(10,165,350)(11,171,331)
(12,173,334)(13,174,332)(14,172,333)(15,175,335)(16,166,341)
(17,168,344)(18,169,342)(19,167,343)(20,170,345)(21,156,336)
(22,158,339)(23,159,337)(24,157,338)(25,160,340)(26,201,251)
(27,203,254)(28,204,252)(29,202,253)(30,205,255)(31,211,271)
(32,213,274)(33,214,272)(34,212,273)(35,215,275)(36,221,256)
(37,223,259)(38,224,257)(39,222,258)(40,225,260)(41,216,266)
(42,218,269)(43,219,267)(44,217,268)(45,220,270)(46,206,261)
(47,208,264)(48,209,262)(49,207,263)(50,210,265)(51,176,301)
(52,178,304)(53,179,302)(54,177,303)(55,180,305)(56,186,321)
(57,188,324)(58,189,322)(59,187,323)(60,190,325)(61,196,306)
(62,198,309)(63,199,307)(64,197,308)(65,200,310)(66,191,316)
(67,193,319)(68,194,317)(69,192,318)(70,195,320)(71,181,311)
(72,183,314)(73,184,312)(74,182,313)(75,185,315)(76,126,276)
(77,128,279)(78,129,277)(79,127,278)(80,130,280)(81,136,296)
(82,138,299)(83,139,297)(84,137,298)(85,140,300)(86,146,281)
(87,148,284)(88,149,282)(89,147,283)(90,150,285)(91,141,291)
(92,143,294)(93,144,292)(94,142,293)(95,145,295)(96,131,286)
(97,133,289)(98,134,287)(99,132,288)(100,135,290)(101,226,351)
(102,228,354)(103,229,352)(104,227,353)(105,230,355)(106,236,371)
(107,238,374)(108,239,372)(109,237,373)(110,240,375)(111,246,356)
(112,248,359)(113,249,357)(114,247,358)(115,250,360)(116,241,366)
(117,243,369)(118,244,367)(119,242,368)(120,245,370)(121,231,361)
(122,233,364)(123,234,362)(124,232,363)(125,235,365)(376,401,451)
(377,403,454)(378,404,452)(379,402,453)(380,405,455)(381,411,471)
(382,413,474)(383,414,472)(384,412,473)(385,415,475)(386,421,456)
(387,423,459)(388,424,457)(389,422,458)(390,425,460)(391,416,466)
(392,418,469)(393,419,467)(394,417,468)(395,420,470)(396,406,461)
(397,408,464)(398,409,462)(399,407,463)(400,410,465)(427,428,429)
(431,436,446)(432,438,449)(433,439,447)(434,437,448)(435,440,450)
(442,443,444)(477,478,479)(481,486,496)(482,488,499)(483,489,497)
(484,487,498)(485,490,500)(492,493,494)(501,526,576)(502,528,579)
(503,529,577)(504,527,578)(505,530,580)(506,536,596)(507,538,599)
(508,539,597)(509,537,598)(510,540,600)(511,546,581)(512,548,584)
(513,549,582)(514,547,583)(515,550,585)(516,541,591)(517,543,594)
(518,544,592)(519,542,593)(520,545,595)(521,531,586)(522,533,589)
(523,534,587)(524,532,588)(525,535,590)(552,553,554)(556,561,571)
(557,563,574)(558,564,572)(559,562,573)(560,565,575)(567,568,569)
(602,603,604)(606,611,621)(607,613,624)(608,614,622)(609,612,623)
(610,615,625)(617,618,619),
(1,378,513,573,599,97,202,132,158,531,421,461,437,189,59,29)
(2,128,508,548,596,472,212,182,159,31,401,386,438,564,74,79)
(3,503,523,598,597,222,207,157,156,406,411,436,439,64,54,4)
(5,253,518,623,600,347,217,232,160,281,416,486,440,314,69,104)
(6,403,511,448,589,72,204,7,153,506,423,586,447,214,57,154)
(8,528,521,473,587,197,209,32,151,381,413,561,449,89,52,129)
(9,28,501,398,588,572,224,82,152,131,408,536,446,464,62,179)
(10,278,516,498,590,322,219,107,155,256,418,611,450,339,67,229)
(11,428,514,73,579,22,203,507,173,581,422,211,432,164,56,404)
(12,178,509,48,576,397,213,557,174,81,402,136,433,539,71,454)
(13,553,524,98,577,147,208,532,171,456,412,186,434,39,51,379)
(14,53,504,23,578,522,223,582,172,206,407,161,431,414,61,429)
(15,303,519,123,580,272,218,607,175,331,417,236,435,289,66,479)
(16,478,515,323,594,122,205,257,168,606,425,336,442,239,60,279)
(17,228,510,298,591,497,215,307,169,106,405,261,443,614,75,329)
(18,603,525,348,592,247,210,282,166,481,415,311,444,114,55,254)
(19,103,505,273,593,622,225,332,167,231,410,286,441,489,65,304)
(20,353,520,373,595,372,220,357,170,356,420,361,445,364,70,354)
(21,453,512,198,584,47,201,382,163,556,424,86,427,139,58,529)
(24,78,502,148,583,547,221,457,162,181,409,36,426,389,63,554)
(25,328,517,248,585,297,216,482,165,306,419,111,430,264,68,604)
(26,376,388,563,574,99,77,127,133,533,546,471,462,187,184,34)
(27,126,383,538,571,474,87,177,134,33,526,396,463,562,199,84)
(30,251,393,613,575,349,92,227,135,283,541,496,465,312,194,109)
(35,276,391,488,565,324,94,102,130,258,543,621,475,337,192,234)
(37,176,384,38,551,399,88,552,149,83,527,146,458,537,196,459)
(40,301,394,113,555,274,93,602,150,333,542,246,460,287,191,484)
(41,476,390,313,569,124,80,252,143,608,550,346,467,237,185,284)
(42,226,385,288,566,499,90,302,144,108,530,271,468,612,200,334)
(43,601,400,338,567,249,85,277,141,483,540,321,469,112,180,259)
(44,101,380,263,568,624,100,327,142,233,535,296,466,487,190,309)
(45,351,395,363,570,374,95,352,145,358,545,371,470,362,195,359)
(46,451,387,188,559,49,76,377,138,558,549,96,452,137,183,534)
(50,326,392,238,560,299,91,477,140,308,544,121,455,262,193,609)
(105,255,268,618,625,350,342,242,235,285,291,491,490,315,319,119)
(110,280,266,493,615,325,344,117,230,260,293,616,500,340,317,244)
(115,305,269,118,605,275,343,617,250,335,292,241,485,290,316,494)
(116,480,265,318,619,125,330,267,243,610,300,341,492,240,310,294)
(120,355,270,368,620,375,345,367,245,360,295,366,495,365,320,369)]],
[9,103680000,0,"4c",[[16,1],[32,3],[256,2]],1,
"L2,4 on projective points^4.5",["A",5,4],
[(1,176,192,267,271,71,52,127,141,316,322,22)(2,126,191,317,272,21,51,
177,142,266,321,72)(3,201,195,367,274,46,53,202,145,366,324,47)
(4,151,193,342,275,121,54,152,143,341,325,122)(5,226,194,292,273,96,
55,227,144,291,323,97)(6,551,187,392,256,571,62,377,131,566,312,397)
(7,501,186,442,257,521,61,427,132,516,311,447)(8,576,190,492,259,546,
63,452,135,616,314,422)(9,526,188,467,260,621,64,402,133,591,315,497)
(10,601,189,417,258,596,65,477,134,541,313,472)(11,426,182,517,261,446,
57,502,136,441,307,522)(12,376,181,567,262,396,56,552,137,391,306,572)
(13,451,185,617,264,421,58,577,140,491,309,547)(14,401,183,592,265,496,
59,527,138,466,310,622)(15,476,184,542,263,471,60,602,139,416,308,597)
(16,301,197,17,251,196,67,252,146,66,302,147)(18,326,200,117,254,171,
68,327,150,116,304,172)(19,276,198,92,255,246,69,277,148,91,305,247)
(20,351,199,42,253,221,70,352,149,41,303,222)(23,76,180,242,269,296,
73,77,130,241,319,297)(24,26,178,217,270,371,74,27,128,216,320,372)
(25,101,179,167,268,346,75,102,129,166,318,347)(28,203,220,370,374,49)
(29,153,218,345,375,124)(30,228,219,295,373,99)(31,553,212,395,356,574,
37,378,206,570,362,399)(32,503,211,445,357,524,36,428,207,520,361,449)
(33,578,215,495,359,549,38,453,210,620,364,424)(34,528,213,470,360,624,
39,403,208,595,365,499)(35,603,214,420,358,599,40,478,209,545,363,474)
(43,328,225,120,354,174)(44,278,223,95,355,249)(45,353,224)
(48,78,205,245,369,299)(50,103,204,170,368,349)(79,155,243,344,300,123)
(80,230,244,294,298,98)(81,555,237,394,281,573,87,380,231,569,287,398)
(82,505,236,444,282,523,86,430,232,519,286,448)(83,580,240,494,284,548,
88,455,235,619,289,423)(84,530,238,469,285,623,89,405,233,594,290,498)
(85,605,239,419,283,598,90,480,234,544,288,473)(93,330,250,119,279,173)
(94,280,248)(100,105,229,169,293,348)(104,154,168,343,350,125)
(106,554,162,393,331,575,112,379,156,568,337,400)(107,504,161,443,332,525,
111,429,157,518,336,450)(108,579,165,493,334,550,113,454,160,618,339,425)
(109,529,163,468,335,625,114,404,158,593,340,500)(110,604,164,418,333,600,
115,479,159,543,338,475)(118,329,175)(381,556,562,387)(382,506,561,437)
(383,581,565,487,384,531,563,462,385,606,564,412)(386,431,557,512)
(388,456,560,612,389,406,558,587,390,481,559,537)(407,508,586,440,482,509,
536,438,457,510,611,439)(408,583,590,490,484,534,538,463,460,610,614,414)
(409,533,588,465,485,609,539,413,458,585,615,489)(410,608,589,415,483,584,
540,488,459,535,613,464)(411,433,582,515,486,434,532,513,461,435,607,514)
(432,507,511,436),(1,481,398,58,16,406,388,83)(2,606,400,183,19,
281,387,583,5,231,399,308,17,531,390,208,4,356,397,558,20,156,389,333
)(3,106,396,433,18,31,386,458)(6,381,383,8)(7,506,385,133,9,
256,382,508,10,131,384,258)(11,456,378,108,21,431,393,33)
(12,581,380,233,24,306,392,533,15,206,379,358,22,556,395,158,14,331,
377,608,25,181,394,283)(13,81,376,483,23,56,391,408)(26,486,473,53,
116,421,438,93)(27,611,475,178,119,296,437,593,30,236,474,303,117,546,
440,218,29,361,472,553,120,171,439,343)(28,111,471,428,118,46,436,468)
(32,511,460,128,109,271,432,518,35,136,459,253,107,521,435,143,34,261,
457,503,110,146,434,268)(36,461,453,103,121,446,443,43)(37,586,455,228,
124,321,442,543,40,211,454,353,122,571,445,168,39,336,452,603,125,196,
444,293)(38,86,451,478,123,71,441,418)(41,411,463,78,101,496,448,68)
(42,536,465,203,104,371,447,568,45,161,464,328,102,621,450,193,44,286,
462,578,105,246,449,318)(47,561,470,153,114,346,427,618,50,186,469,278,
112,596,430,243,49,311,467,528,115,221,429,368)(48,61,466,403,113,96,
426,493)(51,491,423,63,91,401,488,98)(52,616,425,188,94,276,487,598,
55,241,424,313,92,526,490,223,54,366,422,563,95,151,489,348)
(57,516,410,138,84,251,482,523,60,141,409,263,82,501,485,148,59,266,
407,513,85,126,484,273)(62,591,405,238,99,301,492,548,65,216,404,363,
97,551,495,173,64,341,402,613,100,176,494,298)(66,416,413,88,76,476,
498,73)(67,541,415,213,79,351,497,573,70,166,414,338,77,601,500,198,
69,291,412,588,80,226,499,323)(72,566,420,163,89,326,477,623,75,191,
419,288,87,576,480,248,74,316,417,538,90,201,479,373)(127,609,275,182,
519,285,137,584,255,232,524,310,142,534,265,207,504,360,147,559,270,157,
514,335)(129,359,272,557,520,160,139,334,252,607,525,185,144,284,262,582,
505,235,149,309,267,532,515,210)(130,234,274,307,517,535,140,209,254,357,
522,560,145,159,264,332,502,610,150,184,269,282,512,585)(132,509,260)
(134,259,257,507,510,135)(152,614,350,177,619,300,187,594,280,237,599,305,
242,549,315,217,529,365,222,554,370,172,564,345)(154,364,347,552,620,175,
189,344,277,612,600,180,244,299,312,592,530,240,224,304,367,547,565,220)
(155,239,349,302,617,550,190,219,279,362,597,555,245,174,314,342,527,615,
225,179,369,297,562,595)(162,589,330,227,624,325,192,544,290,212,579,355,
247,574,320,167,539,340,202,604,375,197,569,295)(164,339,327,602,625,200,
194,294,287,587,580,230,249,324,317,542,540,215,204,354,372,572,570,170)
(165,214,329,352,622,575,195,169,289,337,577,605,250,199,319,292,537,590,
205,229,374,322,567,545)]],
[10,103680000,0,"4c",[[16,1],[32,3],[256,2]],1,
"L2,4 on projective points^4.6",["A",5,4],
[(1,147,4,148)(2,149,3,146)(5,150)(6,137,19,133,11,142,9,138,16,
132,14,143)(7,139,18,131,12,144,8,136,17,134,13,141)
(10,140,20,135,15,145)(21,127,24,128)(22,129,23,126)(25,130)
(26,197,29,198)(27,199,28,196)(30,200)(31,187,44,183,36,192,34,188,
41,182,39,193)(32,189,43,181,37,194,33,186,42,184,38,191)
(35,190,45,185,40,195)(46,177,49,178)(47,179,48,176)(50,180)
(51,172,54,173)(52,174,53,171)(55,175)(56,162,69,158,61,167,59,163,
66,157,64,168)(57,164,68,156,62,169,58,161,67,159,63,166)
(60,165,70,160,65,170)(71,152,74,153)(72,154,73,151)(75,155)
(76,222,79,223)(77,224,78,221)(80,225)(81,212,94,208,86,217,84,213,
91,207,89,218)(82,214,93,206,87,219,83,211,92,209,88,216)
(85,215,95,210,90,220)(96,202,99,203)(97,204,98,201)(100,205)
(101,247,104,248)(102,249,103,246)(105,250)(106,237,119,233,111,242,109,238,
116,232,114,243)(107,239,118,231,112,244,108,236,117,234,113,241)
(110,240,120,235,115,245)(121,227,124,228)(122,229,123,226)(125,230)
(251,397,504,273,376,522,254,398,501,272,379,523)(252,399,503,271,377,524,
253,396,502,274,378,521)(255,400,505,275,380,525)(256,387,519,258,386,517,
259,388,516,257,389,518)(260,390,520)(261,392,509,263,391,507,264,393,506,
262,394,508)(265,395,510)(266,382,514,268,381,512,269,383,511,267,384,513)
(270,385,515)(276,447,529,323,401,572,279,448,526,322,404,573)
(277,449,528,321,402,574,278,446,527,324,403,571)(280,450,530,325,405,575)
(281,437,544,308,411,567,284,438,541,307,414,568)(282,439,543,306,412,569,
283,436,542,309,413,566)(285,440,545,310,415,570)(286,442,534,313,416,557,
289,443,531,312,419,558)(287,444,533,311,417,559,288,441,532,314,418,556)
(290,445,535,315,420,560)(291,432,539,318,406,562,294,433,536,317,409,563)
(292,434,538,316,407,564,293,431,537,319,408,561)(295,435,540,320,410,565)
(296,427,549,303,421,552,299,428,546,302,424,553)(297,429,548,301,422,554,
298,426,547,304,423,551)(300,430,550,305,425,555)(326,472,579,348,451,597,
329,473,576,347,454,598)(327,474,578,346,452,599,328,471,577,349,453,596)
(330,475,580,350,455,600)(331,462,594,333,461,592,334,463,591,332,464,593)
(335,465,595)(336,467,584,338,466,582,339,468,581,337,469,583)(340,470,585)
(341,457,589,343,456,587,344,458,586,342,459,588)(345,460,590)
(351,497,604,373,476,622,354,498,601,372,479,623)(352,499,603,371,477,624,
353,496,602,374,478,621)(355,500,605,375,480,625)(356,487,619,358,486,617,
359,488,616,357,489,618)(360,490,620)(361,492,609,363,491,607,364,493,606,
362,494,608)(365,495,610)(366,482,614,368,481,612,369,483,611,367,484,613)
(370,485,615),(1,457,15,607,23,182)(2,82,12,107,22,57)
(3,207,11,482,25,557)(4,332,14,357,24,307)(5,582,13,232,21,432)
(6,382,10,507,8,132)(9,257)(16,407,20,532,18,157)(17,32)
(19,282)(26,467,40,617,48,192)(27,92,37,117,47,67)(28,217,36,492,
50,567)(29,342,39,367,49,317)(30,592,38,242,46,442)(31,392,35,517,
33,142)(34,267)(41,417,45,542,43,167)(44,292)(51,452,90,612,123,197
)(52,77,87,112,122,72)(53,202,86,487,125,572)(54,327,89,362,124,322
)(55,577,88,237,121,447)(56,377,85,512,108,147)(58,127,81,387,110,522
)(59,252,84,262,109,272)(60,502,83,137,106,397)(61,477,100,562,103,222
)(62,102,97)(63,227,96,437,105,597)(64,352,99,312,104,347)
(65,602,98,187,101,472)(66,402,95,537,118,172)(68,152,91,412,120,547)
(69,277,94,287,119,297)(70,527,93,162,116,422)(71,427,80,587,113,247)
(73,177,76,462,115,622)(74,302,79,337,114,372)(75,552,78,212,111,497)
(126,456,390,610,523,183)(128,206,386,485,525,558)(129,331,389,360,524,308)
(130,581,388,235,521,433)(131,381,385,510,508,133)(134,256,384,260,509,258)
(135,506,383)(136,481,400,560,503,208)(138,231,396,435,505,583)
(139,356,399,310,504,333)(140,606,398,185,501,458)(141,406,395,535,518,158)
(143,156,391,410,520,533)(144,281,394,285,519,283)(145,531,393,160,516,408)
(146,431,380,585,513,233)(148,181,376,460,515,608)(149,306,379,335,514,358)
(150,556,378,210,511,483)(151,466,415,620,548,193)(153,216,411,495,550,568)
(154,341,414,370,549,318)(155,591,413,245,546,443)(159,266,409,270,534,268)
(161,491,425,570,528,218)(163,241,421,445,530,593)(164,366,424,320,529,343)
(165,616,423,195,526,468)(166,416,420,545,543,168)(169,291,419,295,544,293)
(170,541,418)(171,441,405,595,538,243)(173,191,401,470,540,618)
(174,316,404,345,539,368)(175,566,403,220,536,493)(176,451,465,615,623,198)
(178,201,461,490,625,573)(179,326,464,365,624,323)(180,576,463,240,621,448)
(184,251,459,265,609,273)(186,476,475,565,603,223)(188,226,471,440,605,598)
(189,351,474,315,604,348)(190,601,473)(194,276,469,290,619,298)
(196,426,455,590,613,248)(199,301,454,340,614,373)(200,551,453,215,611,498)
(203,211,486,500,575,553)(204,336,489,375,574,303)(205,586,488,250,571,428)
(209,261,484,275,559,253)(213,236,496,450,555,578)(214,361,499,325,554,328)
(219,286,494,300,569,278)(221,436,480,600,563,228)(224,311,479,350,564,353)
(225,561,478)(229,346,439,355,599,313)(230,596,438)(234,271,434,255,584,263)
(238,246,446,430,580,588)(239,371,449,305,579,338)(244,296,444,280,594,288)
(249,321,429,330,589,363)(254,334,264,359,274,309)(269,284)(279,344,289,369,
299,319)(304,329,339,364,374,324)(314,354,349),
(1,562,145,332,396,52,515,217,256,447,5,587,141,307,400,77,511,192,260,
472)(2,512,142,257,397)(3,537,144,357,398,27,514,242,258,422,4,612,
143,282,399,102,513,167,259,497)(6,437,130,582,391,302,525,92,261,197,
10,462,126,557,395,327,521,67,265,222)(7,387,127,507,392,252,522,17,
262,147)(8,412,129,607,393,277,524,117,263,172,9,487,128,532,394,352,
523,42,264,247)(11,187,135,457,376,552,520,342,271,72,15,212,131,432,
380,577,516,317,275,97)(12,137,132,382,377,502,517,267,272,22)
(13,162,134,482,378,527,519,367,273,47,14,237,133,407,379,602,518,292,
274,122)(16,312,150,82,386,177,510,467,251,572,20,337,146,57,390,202,
506,442,255,597)(18,287,149,107,388,152,509,492,253,547,19,362,148,32,
389,227,508,417,254,622)(21,62,140,207,381,427,505,592,266,322,25,87,
136,182,385,452,501,567,270,347)(23,37,139,232,383,402,504,617,268,297,
24,112,138,157,384,477,503,542,269,372)(26,564,245,333,421,54,615,218,
281,449,105,588,166,309,500,78,536,194,360,473)(28,539,244,358,423,29,
614,243,283,424,104,613,168,284,499,103,538,169,359,498)(30,589,241,308,
425,79,611,193,285,474,101,563,170,334,496,53,540,219,356,448)
(31,439,230,583,416,304,625,93,286,199,110,463,151,559,495,328,546,69,
365,223)(33,414,229,608,418,279,624,118,288,174,109,488,153,534,494,353,
548,44,364,248)(34,489,228,533,419,354,623,43,289,249,108,413,154,609,
493,278,549,119,363,173)(35,464,226,558,420,329,621,68,290,224,106,438,
155,584,491,303,550,94,361,198)(36,189,235,458,401,554,620,343,296,74,
115,213,156,434,480,578,541,319,375,98)(38,164,234,483,403,529,619,368,
298,49,114,238,158,409,479,603,543,294,374,123)(39,239,233,408,404,604,
618,293,299,124,113,163,159,484,478,528,544,369,373,48)(40,214,231,433,
405,579,616,318,300,99,111,188,160,459,476,553,545,344,371,73)
(41,314,250,83,411,179,610,468,276,574,120,338,171,59,490,203,531,444,
355,598)(45,339,246,58,415,204,606,443,280,599,116,313,175,84,486,178,
535,469,351,573)(46,64,240,208,406,429,605,593,291,324,125,88,161,184,
485,453,526,569,370,348)(50,89,236,183,410,454,601,568,295,349,121,63,
165,209,481,428,530,594,366,323)(51,565,220,331,446,55,590,216,306,450,
80,586,191,310,475,76,561,195,335,471)(56,440,205,581,441,305,600,91,
311,200,85,461,176,560,470,326,571,70,340,221)(60,465,201,556,445,330,
596,66,315,225,81,436,180,585,466,301,575,95,336,196)(61,190,210,456,
426,555,595,341,321,75,90,211,181,435,455,576,566,320,350,96)
(65,215,206,431,430,580,591,316,325,100,86,186,185,460,451,551,570,345,
346,71)]],
[11,103680000,0,"4c",[[16,1],[32,3],[256,2]],1,
"L2,4 on projective points^4.7",["A",5,4],
[(1,164,57,291,113,527,94,408)(2,169,58,276,114,532,91,413)
(3,154,59,281,111,537,92,418)(4,159,56,286,112,542,93,403)
(5,174,60,296,115,547,95,423)(6,161,62,292,118,528,79,409)
(7,166,63,277,119,533,76,414)(8,151,64,282,116,538,77,419)
(9,156,61,287,117,543,78,404)(10,171,65,297,120,548,80,424)
(11,162,67,293,103,529,84,406)(12,167,68,278,104,534,81,411)
(13,152,69,283,101,539,82,416)(14,157,66,288,102,544,83,401)
(15,172,70,298,105,549,85,421)(16,163,52,294,108,526,89,407)
(17,168,53,279,109,531,86,412)(18,153,54,284,106,536,87,417)
(19,158,51,289,107,541,88,402)(20,173,55,299,110,546,90,422)
(21,165,72,295,123,530,99,410)(22,170,73,280,124,535,96,415)
(23,155,74,285,121,540,97,420)(24,160,71,290,122,545,98,405)
(25,175,75,300,125,550,100,425)(26,39,32,41,38,27,44,33)
(28,29,34,31,36,37,42,43)(30,49,35,46,40,47,45,48)
(126,189,307,366,613,577,469,383)(127,194,308,351,614,582,466,388)
(128,179,309,356,611,587,467,393)(129,184,306,361,612,592,468,378)
(130,199,310,371,615,597,470,398)(131,186,312,367,618,578,454,384)
(132,191,313,352,619,583,451,389)(133,176,314,357,616,588,452,394)
(134,181,311,362,617,593,453,379)(135,196,315,372,620,598,455,399)
(136,187,317,368,603,579,459,381)(137,192,318,353,604,584,456,386)
(138,177,319,358,601,589,457,391)(139,182,316,363,602,594,458,376)
(140,197,320,373,605,599,460,396)(141,188,302,369,608,576,464,382)
(142,193,303,354,609,581,461,387)(143,178,304,359,606,586,462,392)
(144,183,301,364,607,591,463,377)(145,198,305,374,610,596,465,397)
(146,190,322,370,623,580,474,385)(147,195,323,355,624,585,471,390)
(148,180,324,360,621,590,472,395)(149,185,321,365,622,595,473,380)
(150,200,325,375,625,600,475,400)(201,439,257,241,563,327,494,508)
(202,444,258,226,564,332,491,513)(203,429,259,231,561,337,492,518)
(204,434,256,236,562,342,493,503)(205,449,260,246,565,347,495,523)
(206,436,262,242,568,328,479,509)(207,441,263,227,569,333,476,514)
(208,426,264,232,566,338,477,519)(209,431,261,237,567,343,478,504)
(210,446,265,247,570,348,480,524)(211,437,267,243,553,329,484,506)
(212,442,268,228,554,334,481,511)(213,427,269,233,551,339,482,516)
(214,432,266,238,552,344,483,501)(215,447,270,248,555,349,485,521)
(216,438,252,244,558,326,489,507)(217,443,253,229,559,331,486,512)
(218,428,254,234,556,336,487,517)(219,433,251,239,557,341,488,502)
(220,448,255,249,560,346,490,522)(221,440,272,245,573,330,499,510)
(222,445,273,230,574,335,496,515)(223,430,274,235,571,340,497,520)
(224,435,271,240,572,345,498,505)(225,450,275,250,575,350,500,525),
(1,396,473,328,252,522,600,205,129,24,96,451,378,273,347,577,505,150,224,
79)(2,521,475,203,254,22,596,455,128,274,97,576,380,148,349,77,501,
400,223,329)(3,271,472,578,255,147,599,80,126,399,98,326,377,523,350,
202,504,25,221,454)(4,21,471,453,253,272,597,580,130,149,99,76,376,
398,348,327,502,525,225,204)(5,146,474,78,251,397,598,330,127,524,100,
201,379,23,346,452,503,275,222,579)(6,496,468,278,257,622,595,155,134,
124,91,401,383,373,342,527,510,250,219,29)(7,621,470,153,259,122,591,
405,133,374,92,526,385,248,344,27,506,500,218,279)(8,371,467,528,260,
247,594,30,131,499,93,276,382,623,345,152,509,125,216,404)
(9,121,466,403,258,372,592,530,135,249,94,26,381,498,343,277,507,625,
220,154)(10,246,469,28,256,497,593,280,132,624,95,151,384,123,341,402,
508,375,217,529)(11,446,463,303,262,572,590,180,139,74,86,426,388,323,
337,552,515,200,214,54)(12,571,465,178,264,72,586,430,138,324,87,551,
390,198,339,52,511,450,213,304)(13,321,462,553,265,197,589,55,136,449,
88,301,387,573,340,177,514,75,211,429)(14,71,461,428,263,322,587,555,
140,199,89,51,386,448,338,302,512,575,215,179)(15,196,464,53,261,447,
588,305,137,574,90,176,389,73,336,427,513,325,212,554)(16,421,458,353,
267,547,585,230,144,49,81,476,393,298,332,602,520,175,209,104)
(17,546,460,228,269,47,581,480,143,299,82,601,395,173,334,102,516,425,
208,354)(18,296,457,603,270,172,584,105,141,424,83,351,392,548,335,227,
519,50,206,479)(19,46,456,478,268,297,582,605,145,174,84,101,391,423,
333,352,517,550,210,229)(20,171,459,103,266,422,583,355,142,549,85,226,
394,48,331,477,518,300,207,604)(31,481,493,293,282,607,620,170,159,109,
116,416,408,358,367,542,535,235,244,44)(32,606,495,168,284,107,616,420,
158,359,117,541,410,233,369,42,531,485,243,294)(33,356,492,543,285,232,
619,45,156,484,118,291,407,608,370,167,534,110,241,419)(34,106,491,418,
283,357,617,545,160,234,119,41,406,483,368,292,532,610,245,169)
(35,231,494,43,281,482,618,295,157,609,120,166,409,108,366,417,533,360,
242,544)(36,431,488,318,287,557,615,195,164,59,111,441,413,308,362,567,
540,185,239,69)(37,556,490,193,289,57,611,445,163,309,112,566,415,183,
364,67,536,435,238,319)(38,306,487,568,290,182,614,70,161,434,113,316,
412,558,365,192,539,60,236,444)(39,56,486,443,288,307,612,570,165,184,
114,66,411,433,363,317,537,560,240,194)(40,181,489,68,286,432,613,320,
162,559,115,191,414,58,361,442,538,310,237,569)(61,436,438,313,312,562,
565,190,189,64)(62,561,440,188,314)(63,311,437,563,315,187,564,65,186,
439)]],[12,103680000,0,"4c",[[16,1],[32,3],[256,2]],
1,"L2,4 on projective points^4.8",["A",5,4],
[(1,255,345,467,407,533,613,111)(2,260,343,462,406,528,615,116)
(3,265,341,452,410,543,612,106)(4,275,344,472,409,548,614,121)
(5,270,342,457,408,538,611,101)(6,253,340,466,402,535,618,112)
(7,258,338,461,401,530,620,117)(8,263,336,451,405,545,617,107)
(9,273,339,471,404,550,619,122)(10,268,337,456,403,540,616,102)
(11,251,330,470,417,532,608,113)(12,256,328,465,416,527,610,118)
(13,261,326,455,420,542,607,108)(14,271,329,475,419,547,609,123)
(15,266,327,460,418,537,606,103)(16,252,335,468,412,531,603,115)
(17,257,333,463,411,526,605,120)(18,262,331,453,415,541,602,110)
(19,272,334,473,414,546,604,125)(20,267,332,458,413,536,601,105)
(21,254,350,469,422,534,623,114)(22,259,348,464,421,529,625,119)
(23,264,346,454,425,544,622,109)(24,274,349,474,424,549,624,124)
(25,269,347,459,423,539,621,104)(26,505,370,92,382,283,588,486)
(27,510,368,87,381,278,590,491)(28,515,366,77,385,293,587,481)
(29,525,369,97,384,298,589,496)(30,520,367,82,383,288,586,476)
(31,503,365,91,377,285,593,487)(32,508,363,86,376,280,595,492)
(33,513,361,76,380,295,592,482)(34,523,364,96,379,300,594,497)
(35,518,362,81,378,290,591,477)(36,501,355,95,392,282,583,488)
(37,506,353,90,391,277,585,493)(38,511,351,80,395,292,582,483)
(39,521,354,100,394,297,584,498)(40,516,352,85,393,287,581,478)
(41,502,360,93,387,281,578,490)(42,507,358,88,386,276,580,495)
(43,512,356,78,390,291,577,485)(44,522,359,98,389,296,579,500)
(45,517,357,83,388,286,576,480)(46,504,375,94,397,284,598,489)
(47,509,373,89,396,279,600,494)(48,514,371,79,400,294,597,484)
(49,524,374,99,399,299,599,499)(50,519,372,84,398,289,596,479)
(51,130,320,217,432,158,563,236)(52,135,318,212,431,153,565,241)
(53,140,316,202,435,168,562,231)(54,150,319,222,434,173,564,246)
(55,145,317,207,433,163,561,226)(56,128,315,216,427,160,568,237)
(57,133,313,211,426,155,570,242)(58,138,311,201,430,170,567,232)
(59,148,314,221,429,175,569,247)(60,143,312,206,428,165,566,227)
(61,126,305,220,442,157,558,238)(62,131,303,215,441,152,560,243)
(63,136,301,205,445,167,557,233)(64,146,304,225,444,172,559,248)
(65,141,302,210,443,162,556,228)(66,127,310,218,437,156,553,240)
(67,132,308,213,436,151,555,245)(68,137,306,203,440,166,552,235)
(69,147,309,223,439,171,554,250)(70,142,307,208,438,161,551,230)
(71,129,325,219,447,159,573,239)(72,134,323,214,446,154,575,244)
(73,139,321,204,450,169,572,234)(74,149,324,224,449,174,574,249)
(75,144,322,209,448,164,571,229)(176,180,195,192,182,183,188,186)
(177,185,193,187,181,178,190,191)(179,200,194,197,184,198,189,196),
(1,307,201,314,476,325)(2,332,204,364,480,275)(3,282,203,289,478,300)
(4,357,205,264,477,350)(5,257,202,339,479,375)(6,182,211,439,496,75)
(7,207,214,489,500,25)(8,157,213,414,498,50)(9,232,215,389,497,100)
(10,132,212,464,499,125)(11,432,221,64,481,200)(12,457,224,114,485,150)
(13,407,223,39,483,175)(14,482,225)(15,382,222,89,484,250)
(16,557,216,564,491,575)(17,582,219,614,495,525)(18,532,218,539,493,550)
(19,607,220,514,492,600)(20,507,217,589,494,625)(21,57,206,189,486,450)
(22,82,209,239,490,400)(23,32,208,164,488,425)(24,107,210,139,487,475)
(26,308,151,313,401,323)(27,333,154,363,405,273)(28,283,153,288,403,298)
(29,358,155,263,402,348)(30,258,152,338,404,373)(31,183,161,438,421,73)
(33,158,163,413,423,48)(34,233,165,388,422,98)(35,133,162,463,424,123)
(36,433,171,63,406,198)(37,458,174,113,410,148)(38,408,173)
(40,383,172,88,409,248)(41,558,166,563,416,573)(42,583,169,613,420,523)
(43,533,168,538,418,548)(44,608,170,513,417,598)(45,508,167,588,419,623)
(46,58,156,188,411,448)(47,83,159,238,415,398)(49,108,160,138,412,473)
(51,306,176,311,426,321)(52,331,179,361,430,271)(53,281,178,286,428,296)
(54,356,180,261,427,346)(55,256,177,336,429,371)(56,181,186,436,446,71)
(59,231,190,386,447,96)(60,131,187,461,449,121)(61,431,196)
(62,456,199,111,435,146)(65,381,197,86,434,246)(66,556,191,561,441,571)
(67,581,194,611,445,521)(68,531,193,536,443,546)(69,606,195,511,442,596)
(70,506,192,586,444,621)(72,81,184,236,440,396)(74,106,185,136,437,471)
(76,309,226,315,376,322)(77,334,229,365,380,272)(78,284,228,290,378,297)
(79,359,230,265,377,347)(80,259,227,340,379,372)(84,234,240,390,397,97)
(85,134,237,465,399,122)(87,459,249,115,385,147)(90,384,247)
(91,559,241,565,391,572)(92,584,244,615,395,522)(93,534,243,540,393,547)
(94,609,245,515,392,597)(95,509,242,590,394,622)(99,109,235,140,387,472)
(101,310,126,312,451,324)(102,335,129,362,455,274)(103,285,128,287,453,299)
(104,360,130,262,452,349)(105,260,127,337,454,374)(110,135,137,462,474,124)
(112,460,149)(116,560,141,562,466,574)(117,585,144,612,470,524)
(118,535,143,537,468,549)(119,610,145,512,467,599)(120,510,142,587,469,624)
(251,302,326,304,351,305)(252,327,329,354,355,255)(253,277,328,279,353,280)
(254,352,330)(266,552,341,554,366,555)(267,577,344,604,370,505)
(268,527,343,529,368,530)(269,602,345,504,367,580)(270,502,342,579,369,605)
(276,303)(291,553)(292,578,294,603,295,503)(293,528)(316,551)
(317,576,319,601,320,501)(318,526)(516,567,591,569,616,570)(517,592,594,619,
620,520)(518,542,593,544,618,545)(519,617,595)(541,568)]],
[13,103680000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.9",["A",5,4],
[(1,175,342,13,625,326,163,617)(2,150,347,263,623,351,153,242)
(3,250,327,138,622,251,173,367)(4,200,332,388,624,301,158,492)
(5,225,337,513,621,276,168,117)(6,425,344,63,610,451,164,567)
(7,400,349,313,608,476,154,192)(8,500,329,188,607,376,174,317)
(9,450,334,438,609,426,159,442)(10,475,339,563,606,401,169,67)
(11,550,341,38,620,76,165,592)(12,525,346,288,618,101,155,217)
(14,575,331,413,619,51,160,467)(15,600,336,538,616,26,170,92)
(16,50,345,88,615,576,161,542)(17,25,350,338,613,601,151,167)
(18,125,330,213,612,501,171,292)(19,75,335,463,614,551,156,417)
(20,100,340,588,611,526,166,42)(21,300,343,113,605,201,162,517)
(22,275,348,363,603,226,152,142)(23,375,328,238,602,126,172,267)
(24,325,333,488,604,176,157,392)(27,145,97,265,598,361,528,241)
(28,245,77,140,597,261,548,366)(29,195,82,390,599,311,533,491)
(30,220,87,515,596,286,543,116)(31,420,94,65,585,461,539,566)
(32,395,99,315,583,486,529,191)(33,495,79,190,582,386,549,316)
(34,445,84,440,584,436,534,441)(35,470,89,565,581,411,544,66)
(36,545,91,40,595,86,540,591)(37,520,96,290,593,111,530,216)
(39,570,81,415,594,61,535,466)(41,45,95,90,590,586,536,541)
(43,120,80,215,587,511,546,291)(44,70,85,465,589,561,531,416)
(46,295,93,115,580,211,537,516)(47,270,98,365,578,236,527,141)
(48,370,78,240,577,136,547,266)(49,320,83,490,579,186,532,391)
(52,135,472,264,573,356,403,244)(53,235,452,139,572,256,423,369)
(54,185,457,389,574,306,408,494)(55,210,462,514,571,281,418,119)
(56,410,469,64,560,456,414,569)(57,385,474,314,558,481,404,194)
(58,485,454,189,557,381,424,319)(59,435,459,439,559,431,409,444)
(60,460,464,564,556,406,419,69)(62,510,471,289,568,106,405,219)
(68,110,455,214,562,506,421,294)(71,285,468,114,555,206,412,519)
(72,260,473,364,553,231,402,144)(73,360,453,239,552,131,422,269)
(74,310,458,489,554,181,407,394)(102,130,222,262,523,371,278,243)
(103,230,202,137,522,271,298,368)(104,180,207,387,524,321,283,493)
(105,205,212,512,521,296,293,118)(107,380,224,312,508,496,279,193)
(108,480,204,187,507,396,299,318)(109,430,209,437,509,446,284,443)
(112,505,221,287,518,121,280,218)(122,255,223,362,503,246,277,143)
(123,355,203,237,502,146,297,268)(124,305,208,487,504,196,282,393)
(127,147,272,273,373,353,228,227)(128,247,252,148,372,253,248,352)
(129,197,257,398,374,303,233,477)(132,397,274,323,358,478,229,177)
(133,497,254,198,357,378,249,302)(134,447,259,448,359,428,234,427)
(149,322,258,498,354,178,232,377)(179,182,382,399,324,308,483,479)
(183,482,379,199,307,383,499,304)(184,432,384,449,309,433,484,429),
(1,316,288,614,102,442,423,599,80,195,158,509)(2,441,298,589,105,192,408,
524,76,320,163,609)(3,566,278,564,103,567,403,574,78,570,153,559)
(4,66,293,539,104,67,418,549,79,70,168,534)(5,191,283,514,101,317,
413,624,77,445,173,584)(6,266,286,364,112,492,422,474,100,220,160,134)
(7,391,296,339,115,242,407,399,96,345,165,234)(8,516,276,314,113,617,
402,449,98,595,155,184)(9,16,291,289,114,117,417,424,99,95,170,159)
(10,141,281,264,111,367,412,499,97,470,175,209)(11,366,287,489,122,467,
425,224,85,145,156,259)(12,491,297,464,125,217,410,149,81,270,161,359)
(13,616,277,439,123,592,405,199,83,520,151,309)(14,116,292,414,124,92,
420,174,84,20,166,284)(15,241,282,389,121,342,415,249,82,395,171,334)
(17,416,299,89,120,167,409,24,91,295,164,109)(18,541,279,64,118,542,
404,74,93,545,154,59)(19,41,294,39,119,42,419,49,94,45,169,34)
(21,341,290,239,107,392,421,349,90,245,157,384)(22,466,300,214,110,142,
406,274,86,370,162,484)(23,591,280,189,108,517,401,324,88,620,152,434)
(25,216,285,139,106,267,411,374,87,495,172,459)(26,319,38,619,27,444,
48,594,30,194,33,519)(28,569)(29,69,43,544)(31,269,36,369,37,494,
47,469,50,219,35,144)(32,394,46,344,40,244)(51,318,538,604,52,443,
548,579,55,193,533,504)(53,568,528,554)(54,68,543,529)(56,268,536,354,
62,493,547,454,75,218,535,129)(57,393,546,329,65,243,532,379,71,343,
540,229)(58,518,526,304,63,618,527,429,73,593,530,179)(60,143,531,254,
61,368,537,479,72,468,550,204)(126,306,263,611,352,437,498,597,455,200,
208,510)(127,431,273,586,355,187,483,522,451,325,213,610)(128,556,253,561,
353,562,478,572,453,575,203,560)(130,181,258,511,351,312,488,622,452,450,
223,585)(131,256,261,361,362,487,497,472,475,225,210,135)(132,381,271,336,
365,237,482,397,471,350,215,235)(133,506,251,311,363,612,477,447,473,600,
205,185)(136,356,262,486,372,462,500,222,460,150,206,260)(137,481,272,461,
375,212,485,147,456,275,211,360)(138,606,252,436,373,587,480,197,458,525,
201,310)(140,231,257,386,371,337,490,247,457,400,221,335)(146,331,265,236,
357,387,496,347,465,250,207,385)(148,581,255,186,358,512,476,322,463,625,
202,435)(176,308,513,601,302,438,623,577,430,198,583,505)(177,433,523,576,
305,188,608,502,426,323,588,605)(178,558,503,551,303,563,603,552,428,573,
578,555)(180,183,508,501,301,313,613,602,427,448,598,580)(182,383,521,326,
315,238,607,377,446,348,590,230)(190,233,507,376,321,338,615,227,432,398,
596,330)(196,333,515,226,307,388,621,327,440,248,582,380)(228,557,378,571,
328,565)(232,382,396,346,340,240)(246,332,390)]],
[14,103680000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.10",["A",5,4],
[(1,69,491,125,220,238,290,152,562,531,7,519,484,400,224,463,298,327,553,306
)(2,569,481,25,219,488,300,202,563,281)(3,319,476,75,216,113,295,227,
565,156,12,544,482,525,209,388,299,452,573,331)(4,444,496,100,218,363,
280,177,561,31,17,619,485,150,214,413,297,577,558,256)(5,194,486,50,
217,613,285,127,564,406,22,594,483,275,204,438,296,77,568,356)
(6,19,494,500,225,213,288,277,552,556)(8,269,479,450,221,88,293,352,
555,181,11,44,492,625,210,138,289,402,572,581)(9,394,499,475,223,338,
278,302,551,56,16,119,495,250,215,163,287,527,557,506)(10,144,489,425,
222,588,283,252,554,431,21,94,493,375,205,188,286,27,567,606)
(13,294,477,575,206)(14,419,497,600,208,263,279,427,571,81,18,369,480,
200,211,38,292,602,560,131)(15,169,487,550,207,513,284,377,574,456,23,
344,478,325,201,63,291,102,570,231)(20,244,490,175,212,538,282,502,559,
381,24,469,498,350,203,313,276,52,566,106)(26,67,616,110,145,239,415,
172,587,533,257,504,434,396,99,468,373,330,178,311)(28,317,601,60,141,
114,420,247,590,158,262,529,432,521,84,393,374,455,198,336)
(29,442,621,85,143,364,405,197,586,33,267,604,435,146,89,418,372,580,
183,261)(30,192,611,35,142,614,410,147,589,408,272,579,433,271,79,443,
371,80,193,361)(32,517,609,385,149,464,423,347,578,308,251,54,441,121,
95,243,365,155,187,536)(34,392,624,460,148,339,403,322,576,58,266,104,
445,246,90,168,362,530,182,511)(36,42,617,610,135,139,414,422,597,583,
258,254,429,446,96,93,368,355,180,186)(37,542,607,510,134,389,424,472,
598,333,253,304,426,71,91,118,370,230,190,161)(39,417,622,585,133,264,
404,447,596,83,268,354,430,196,86,43,367,605,185,136)(40,167,612,535,
132,514,409,397,599,458,273,329,428,321,76,68,366,105,195,236)
(41,117,620,235,140,164,412,547,582,508,259,379,449,471,98,343,353,305,
176,61)(45,242,615,160,137,539,407,522,584,383,274,454,448,346,78,318,
351,55,191,111)(46,92,618,360,130,189,411,47,592,608,260,129,439,421,
97,593,358,255,179,436)(48,342,603,310,126,64,416,122,595,233,265,154,
437,546,82,518,359,380,199,461)(49,467,623,335,128,314,401,72,591,108,
270,229,440,171,87,543,357,505,184,386)(51,66,116,120,245,240,165,162,
537,532,507,509,384,399,474,473,348,328,303,301)(53,316,101,70,241,115,
170,237,540,157,512,534,382,524,459,398,349,453,323,326)(57,516,109,395,
249,465,173,337,528,307,501,59,391,124,470,248,340,153,312,526)
(62,541,107,520,234,390,174,462,548,332,503,309,376,74,466,123,345,228,
315,151)(65,166,112,545,232,515,159,387,549,457,523,334,378,324,451,73,
341,103,320,226),(1,612,76,617,26,607)(2,112,77,117,27,107)
(3,487,79,242,30,357)(4,237,80,367,28,482)(5,362,78,492,29,232)
(6,512,86,592,41,532)(7,12,87,92,42,32)(8,387,89,217,45,282)
(9,137,90,342,43,407)(10,262,88,467,44,157)(11,587,91,542,31,507)
(13,462,94,167,35,257)(14,212,95,292,33,382)(15,337,93,417,34,132)
(16,537,81,517,36,582)(17,37,82)(18,412,84,142,40,332)
(19,162,85,267,38,457)(20,287,83,392,39,207)(21,562,96,567,46,557)
(22,62,97,67,47,57)(23,437,99,192,50,307)(24,187,100,317,48,432)
(25,312,98,442,49,182)(51,622)(52,122)(53,497,54,247,55,372)
(56,522,61,597,66,547)(58,397,64,222,70,297)(59,147,65,347,68,422)
(60,272,63,472,69,172)(71,572)(73,447,74,197,75,322)(101,602)
(103,477,104,227,105,352)(106,502,111,577,116,527)(108,377,114,202,120,277)
(109,127,115,327,118,402)(110,252,113,452,119,152)(121,552)(123,427,124,177,
125,302)(126,615,326,618,401,609)(128,490,329,243,405,359)(129,240,330,368,
403,484)(130,365,328,493,404,234)(131,515,336,593,416,534)(133,390,339,218,
420,284)(134,140,340,343,418,409)(135,265,338,468,419,159)(136,590,341,543,
406,509)(138,465,344,168,410,259)(139,215,345,293,408,384)(141,540,331,518,
411,584)(143,415,334)(144,165,335,268,413,459)(145,290,333,393,414,209)
(146,565,346,568,421,559)(148,440,349,193,425,309)(149,190,350,318,423,434)
(150,315,348,443,424,184)(151,610,251,613,451,619)(153,485,254,238,455,369)
(154,235,255,363,453,494)(155,360,253,488,454,244)(156,510,261,588,466,544)
(158,385,264,213,470,294)(160,260,263,463,469,169)(161,585,266,538,456,519)
(163,460,269)(164,210,270,288,458,394)(166,535,256,513,461,594)
(170,285,258,388,464,219)(171,560,271,563,471,569)(173,435,274,188,475,319)
(174,185,275,313,473,444)(175,310,273,438,474,194)(176,625,301,623,426,624)
(178,500,304,248,430,374)(179,250,305,373,428,499)(180,375,303,498,429,249)
(181,525,311,598,441,549)(183,400,314,223,445,299)(186,600,316,548,431,524)
(189,225,320,298,433,399)(191,550,306,523,436,599)(195,300,308,398,439,224)
(196,575,321,573,446,574)(198,450,324)(199,200,325,323,448,449)
(201,620,276,608,376,614)(203,495,279,233,380,364)(204,245,280,358,378,489)
(205,370,278,483,379,239)(206,520,286,583,391,539)(208,395,289)
(211,595,291,533,381,514)(214,220,295,283,383,389)(216,545,281,508,386,589)
(221,570,296,558,396,564)(226,605,351,603,476,604)(228,480,354)
(229,230,355,353,478,479)(231,505,361,578,491,529)(236,580,366,528,481,504)
(241,530,356,503,486,579)(246,555,371,553,496,554)(501,611,576,616,526,606)
(506,511,586,591,541,531)(516,536,581)(521,561,596,566,546,556)(551,621)]]
,[15,155520000,0,"4c",[[16,1],[96,1],[256,2]],1,
"L2,4 on projective points^4.11",["A",5,4],
[(1,145,415,336,593,28,126,395,290,586,93,153,376,270,540,86,218,403,251,
520,40,211,468,278,501,20,165,461,343,528)(2,150,490,339,583,53,127,
400,365,589,83,178,377,275,615,89,208,428,252,525,115,214,458,303,502,
25,240,464,333,553)(3,130,390,340,588,78,128,380,265,590,88,203,378,
255,515,90,213,453,253,505,15,215,463,328,503,5,140,465,338,578)
(4,135,440,337,598,103,129,385,315,587,98,228,379,260,565,87,223,478,
254,510,65,212,473,353,504,10,190,462,348,603)(6,195,412,346,618,29,
131,445,287,596,118,154,381,320,537,96,243,404,256,570,37,221,493,279,
506,70,162,471,368,529)(7,200,487,349,608,54,132,450,362,599,108,179,
382,325,612,99,233,429,257,575,112,224,483,304,507,75,237,474,358,554)
(8,180,387,350,613,79,133,430,262,600,113,204,383,305,512,100,238,454,
258,555,12,225,488,329,508,55,137,475,363,579)(9,185,437,347,623,104,
134,435,312,597,123,229,384,310,562,97,248,479,259,560,62,222,498,354,
509,60,187,472,373,604)(11,220,413,326,518,30,136,470,288,576,18,155,
386,345,538,76,143,405,261,595,38,201,393,280,511,95,163,451,268,530)
(13,205,388,330,513,80,138,455,263,580)(14,210,438,327,523,105,139,460,
313,577,23,230,389,335,563,77,148,480,264,585,63,202,398,355,514,85,
188,452,273,605)(16,170,411,341,543,26,141,420,286,591,43,151,391,295,
536,91,168,401,266,545,36,216,418,276,516,45,161,466,293,526)
(17,175,486,344,533,51,142,425,361,594,33,176,392,300,611,94,158,426,
267,550,111,219,408,301,517,50,236,469,283,551)(19,160,436,342,548,101,
144,410,311,592,48,226,394,285,561,92,173,476,269,535,61,217,423,351,
519,35,186,467,298,601)(21,245,414,331,568,27,146,495,289,581,68,152,
396,370,539,81,193,402,271,620,39,206,443,277,521,120,164,456,318,527)
(22,250,489,334,558,52,147,500,364,584,58,177,397,375,614,84,183,427,
272,625,114,209,433,302,522,125,239,459,308,552)(24,235,439,332,573,102,
149,485,314,582,73,227,399,360,564,82,198,477,274,610,64,207,448,352,
524,110,189,457,323,602)(31,191,417,296,616,44,156,441,292,546,116,169,
406,316,542,46,241,419,281,566,42,171,491,294,531,66,167,421,366,544)
(32,196,492,299,606,69,157,446,367,549,106,194,407,321,617,49,231,444,
282,571,117,174,481,319,532,71,242,424,356,569)(34,181,442,297,621,119,
159,431,317,547,121,244,409,306,567,47,246,494,284,556,67,172,496,369,
534,56,192,422,371,619)(41,166,416,291,541)(57,197,497,374,609,59,182,
447,372,624,109,184,432,322,622,124,234,434,307,572,122,249,484,309,557,
72,247,499,359,559)(74,232,449,357,574,107,199,482,324,607),
(1,357,179,300,568,96,612,454,265,433,146,532,219,40,493)(2,359,180,298,
566,97,614,455,263,431,147,534,220,38,491)(3,356,177,299,570,98,611,
452,264,435,148,531,217,39,495)(4,360,178,296,567,99,615,453,261,432,
149,535,218,36,492)(5,358,176,297,569,100,613,451,262,434,150,533,216,
37,494)(6,232,154,295,68,121,602,329,315,448,521,582,214,415,393)
(7,234,155,293,66,122,604,330,313,446,522,584,215,413,391)
(8,231,152,294,70,123,601,327,314,450,523,581,212,414,395)
(9,235,153,291,67,124,605,328,311,447,524,585,213,411,392)
(10,233,151,292,69,125,603,326,312,449,525,583,211,412,394)
(11,482,129,285,193,46,617,79,365,428,271,557,224,540,468)
(12,484,130,283,191,47,619,80,363,426,272,559,225,538,466)
(13,481,127,284,195,48,616,77,364,430,273,556,222,539,470)
(14,485,128,281,192,49,620,78,361,427,274,560,223,536,467)
(15,483,126,282,194,50,618,76,362,429,275,558,221,537,469)
(16,107,229,280,318,71,622,579,340,438,396,507,209,165,418)
(17,109,230,278,316,72,624,580,338,436,397,509,210,163,416)
(18,106,227,279,320,73,621,577,339,440,398,506,207,164,420)
(19,110,228,276,317,74,625,578,336,437,399,510,208,161,417)
(20,108,226,277,319,75,623,576,337,439,400,508,206,162,419)
(21,607,204,290,443)(22,609,205,288,441)(23,606,202,289,445)
(24,610,203,286,442)(25,608,201,287,444)(26,367,54,375,553,346,562,474,
515,458,136,407,144,35,243)(27,369,55,373,551,347,564,475,513,456,137,
409,145,33,241)(28,366,52,374,555,348,561,472,514,460,138,406,142,34,
245)(29,370,53,371,552,349,565,473,511,457,139,410,143,31,242)
(30,368,51,372,554,350,563,471,512,459,140,408,141,32,244)
(41,117,104,355,303,321,572,599,590,463,386,382,134,160,168)
(42,119,105,353,301,322,574,600,588,461,387,384,135,158,166)
(43,116,102,354,305,323,571,597,589,465,388,381,132,159,170)
(44,120,103,351,302,324,575,598,586,462,389,385,133,156,167)
(45,118,101,352,304,325,573,596,587,464,390,383,131,157,169)
(56,247,529,345,63,496,502,334,190,423,516,82,239,405,268)
(57,249,530,343,61,497,504,335,188,421,517,84,240,403,266)
(58,246,527,344,65,498,501,332,189,425,518,81,237,404,270)
(59,250,528,341,62,499,505,333,186,422,519,85,238,401,267)
(60,248,526,342,64,500,503,331,187,424,520,83,236,402,269)
(86,487,379,260,183,171,542,94,115,478,251,307,199,550,593)
(87,489,380,258,181,172,544,95,113,476,252,309,200,548,591)
(88,486,377,259,185,173,541,92,114,480,253,306,197,549,595)
(89,490,378,256,182,174,545,93,111,477,254,310,198,546,592)
(90,488,376,257,184,175,543,91,112,479,255,308,196,547,594)]],
[16,207360000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.12",["A",5,4],
[(1,29,280,535,570,592,218,463,398,499,371,106,51,27,155,540,520,594,343,
458,448,497,246,111)(2,154,290,510,569,342,208,438,397,249,361,6,54,
277,160,565,517,219,338,383,449,372,231,61)(3,404,300,610,566,92,203,
413,400,624,366,81,53,402,175,615,516,94,328,408,450,622,241,86)
(4,279,285,560,567,217,213,388,399,374,356,56,52,152,165,515,519,344,
333,433,447,247,236,11)(5,529,295,585,568,467,223,488,396,124,351,31,
55,527,170,590,518,469,348,483,446,122,226,36)(7,179,287,135,564,267,
209,313,382,199,362,131,64,252,159,315,507,194,337,133,439,272,234,311)
(8,429,297,235,561,17,204,288,385,574,367,206,63,377,174,365,506,69,
327,158,440,522,244,336)(9,304,282,185,562,142,214,263,384,324,357,181,
62,127,164,265,509,319,332,183,437,147,239,261)(10,554,292,210,563,392,
224,363,381,74,352,156,65,502,169,340,508,444,347,233,436,22,229,286)
(12,129,289,260,559,317,207,188,387,149,364,256,59,302,157,190,512,144,
339,258,434,322,232,186)(13,379,299,360,556,67,202,163,390,524,369,331,
58,427,172,240,511,19,329,283,435,572,242,211)(14,254,284,310,557,192,
212,138,389,274,359,306,57,177,162,140,514,269,334,308,432,197,237,136)
(15,504,294,335,558,442,222,238,386,24,354,281,60,552,167,215,513,394,
349,358,431,72,227,161)(16,79,278,410,575,617,216,88,378,424,375,606,
66,77,153,415,525,619,341,83,428,422,250,611)(18,454,298,485,571,117,
201,38,380,549,370,581,68,452,173,490,521,119,326,33,430,547,245,586)
(20,579,293,460,573,492,221,113,376,49,355,531,70,577,168,465,523,494,
346,108,426,47,230,536)(21,104,276,35,555,542,220,588,393,474,373,481,
71,102,151,40,505,544,345,583,443,472,248,486)(23,479,296,110,551,42,
205,538,395,599,368,456,73,477,171,115,501,44,330,533,445,597,243,461)
(25,604,291,85,553,417,225,613,391,99,353,406,75,602,166,90,503,419,
350,608,441,97,228,411)(26,30,530,545,595,593,468,473,498,496,121,101)
(28,405,550,620,591,93,453,423,500,621,116,76)(32,180,537,145,589,268,
459,323,482,196,112,126,39,255,534,320,582,193,462,148,489,271,109,301)
(34,305,532,195,587,143,464,273,484,321,107,176,37,130,539,270,584,318,
457,198,487,146,114,251)(41,80,528,420,600,618,466,98,478,421,125,601)
(43,455,548,495,596,118,451,48,480,546,120,576)(45,580,543,470,598,493,
471,123,476,46,105,526)(50,605,541,95,578,418,475,623,491,96,103,401)
(78,403,425,625,616,91)(82,178,412,150,614,266,84,303,407,200,612,141,
89,253,409,325,607,191,87,128,414,275,609,316)(100,603,416)
(132,189,262,134,314,257,184,312)(137,139,264,259,309,307,182,187),
(1,486,71,451,11,496,51,461,21,476,61,471)(2,490,73,452,15,498,52,
465,23,477,65,473)(3,487,75,453,12,500,53,462,25,478,62,475)
(4,489,74,454,14,499,54,464,24,479,64,474)(5,488,72,455,13,497,
55,463,22,480,63,472)(6,481,56,456)(7,485,58,457,10,483,57,460,
8,482,60,458)(9,484,59,459)(16,491,66,466)(17,495,68,467,20,493,
67,470,18,492,70,468)(19,494,69,469)(26,411,46,401,36,421)
(27,415,48,402,40,423)(28,412,50,403,37,425)(29,414,49,404,39,424)
(30,413,47,405,38,422)(31,406)(32,410,33,407,35,408)(34,409)
(41,416)(42,420,43,417,45,418)(44,419)(76,386,121,426,86,396,101,436,
96,376,111,446)(77,390,123,427,90,398,102,440,98,377,115,448)
(78,387,125,428,87,400,103,437,100,378,112,450)(79,389,124,429,89,399,
104,439,99,379,114,449)(80,388,122,430,88,397,105,438,97,380,113,447)
(81,381,106,431)(82,385,108,432,85,383,107,435,83,382,110,433)
(84,384,109,434)(91,391,116,441)(92,395,118,442,95,393,117,445,93,392,
120,443)(94,394,119,444)(126,361,571,201,261,621,176,336,521,226,311,596)
(127,365,573,202,265,623,177,340,523,227,315,598)(128,362,575,203,262,625,
178,337,525,228,312,600)(129,364,574,204,264,624,179,339,524,229,314,599)
(130,363,572,205,263,622,180,338,522,230,313,597)(131,356,556,206,256,606,
181,331,506,231,306,581)(132,360,558,207,260,608,182,335,508,232,310,583)
(133,357,560,208,257,610,183,332,510,233,307,585)(134,359,559,209,259,609,
184,334,509,234,309,584)(135,358,557,210,258,607,185,333,507,235,308,582)
(136,371,551,211,271,601,186,346,501,236,321,576)(137,375,553,212,275,603,
187,350,503,237,325,578)(138,372,555,213,272,605,188,347,505,238,322,580)
(139,374,554,214,274,604,189,349,504,239,324,579)(140,373,552,215,273,602,
190,348,502,240,323,577)(141,366,566,216,266,616,191,341,516,241,316,591)
(142,370,568,217,270,618,192,345,518,242,320,593)(143,367,570,218,267,620,
193,342,520,243,317,595)(144,369,569,219,269,619,194,344,519,244,319,594)
(145,368,567,220,268,617,195,343,517,245,318,592)(146,351,561,221,251,611,
196,326,511,246,301,586)(147,355,563,222,255,613,197,330,513,247,305,588)
(148,352,565,223,252,615,198,327,515,248,302,590)(149,354,564,224,254,614,
199,329,514,249,304,589)(150,353,562,225,253,612,200,328,512,250,303,587)
(151,286,546)(152,290,548)(153,287,550)(154,289,549)(155,288,547)
(156,281,531)(157,285,533)(158,282,535)(159,284,534)(160,283,532)
(161,296,526)(162,300,528)(163,297,530)(164,299,529)(165,298,527)
(166,291,541)(167,295,543)(168,292,545)(169,294,544)(170,293,542)
(171,276,536)(172,280,538)(173,277,540)(174,279,539)(175,278,537)]],
[17,207360000,0,"4c",[[16,1],[32,3],[256,2]],1,
"L2,4 on projective points^4.13",["A",5,4],
[(1,108,563,597,277,369,389,456,51,123,538,592,252,359,439,471,26,118,513,
582,302,374,414,466)(2,358,564,472,276,119,388,581,52,373,539,467,251,
109,438,596,27,368,514,457,301,124,413,591)(3,608,562,347,279,494,386,
81,53,623,537,342,254,484,436,96,28,618,512,332,304,499,411,91)
(4,483,561,97,278,619,387,331,54,498,536,92,253,609,437,346,29,493,
511,82,303,624,412,341)(5,233,565,222,280,244,390,206,55,248,540,217,
255,234,440,221,30,243,515,207,305,249,415,216)(6,58,573,547,292,269,
384,431,71,48,543,517,257,309,449,421,41,18,508,557,322,299,419,391)
(7,308,574,422,291,19,383,556,72,298,544,392,256,59,448,546,42,268,
509,432,321,49,418,516)(8,558,572,297,294,394,381,56,73,548,542,267,
259,434,446,46,43,518,507,307,324,424,416,16)(9,433,571,47,293,519,
382,306,74,423,541,17,258,559,447,296,44,393,506,57,323,549,417,266)
(10,183,575,172,295,144,385,181,75,173,545,142,260,184,450,171,45,143,
510,182,325,174,420,141)(11,83,553,622,287,344,379,481,61,98,528,617,
262,334,429,496,36,93,503,607,312,349,404,491)(12,333,554,497,286,94,
378,606,62,348,529,492,261,84,428,621,37,343,504,482,311,99,403,616)
(13,583,552,372,289,469,376,106,63,598,527,367,264,459,426,121,38,593,
502,357,314,474,401,116)(14,458,551,122,288,594,377,356,64,473,526,117,
263,584,427,371,39,468,501,107,313,599,402,366)(15,208,555,247,290,219,
380,231,65,223,530,242,265,209,430,246,40,218,505,232,315,224,405,241)
(20,133,560,197,300,169,395,131,60,198,550,167,270,134,435,196,50,168,
520,132,310,199,425,166)(21,33,568,522,282,319,399,406,66,23,533,567,
272,284,444,396,31,68,523,532,317,274,409,441)(22,283,569,397,281,69,
398,531,67,273,534,442,271,34,443,521,32,318,524,407,316,24,408,566)
(25,158,570,147,285,194,400,156,70,148,535,192,275,159,445,146,35,193,
525,157,320,149,410,191)(76,103,613,587,327,354,489,461)(77,353,614,462,
326,104,488,586)(78,603,612,337,329,479,486,86)(79,478,611,87,328,604,
487,336)(80,228,615,212,330,229,490,211)(85,178,625,162,345,129,485,186,
100,153,620,137,335,179,500,161,95,128,610,187,350,154,495,136)
(88,578,602,362,339,454,476,111)(89,453,601,112,338,579,477,361)
(90,203,605,237,340,204,480,236)(101,113,588,577,352,364,464,451)
(102,363,589,452,351,114,463,576)(105,238,590,202,355,239,465,201)
(110,188,600,152,370,139,460,176,125,163,595,127,360,189,475,151,120,138,
585,177,375,164,470,126)(115,213,580,227,365,214,455,226)(130,235,190,225,
155,245,140,210,180,250,165,220)(135,185,200,175,170,145)(150,160,195)
(205,230,240,215),(1,524,578,464,426,324,278,164,226,124,3,514,576,474,
428,314,276,174,228,114)(2,519,580,459,427,319,280,159,227,119,5,509,
577,469,430,309,277,169,230,109)(4,504,579,454,429,304,279,154,229,104)
(6,522,593,465,431,322,293,165,231,122,18,515,581,472,443,315,281,172,
243,115)(7,517,595,460,432,317,295,160,232,117,20,510,582,467,445,310,
282,167,245,110)(8,512,591,475,433,312,291,175,233,112,16,525,583,462,
441,325,283,162,241,125)(9,502,594,455,434,302,294,155,234,102,19,505,
584,452,444,305,284,152,244,105)(10,507,592,470,435,307,292,170,235,107,
17,520,585,457,442,320,285,157,242,120)(11,521,598,463,436,321,298,163,
236,121,23,513,586,471,448,313,286,171,248,113)(12,516,600,458,437,316,
300,158,237,116,25,508,587,466,450,308,287,166,250,108)(13,511,596,473,
438,311,296,173,238,111,21,523,588,461,446,323,288,161,246,123)
(14,501,599,453,439,301,299,153,239,101,24,503,589,451,449,303,289,151,
249,103)(15,506,597,468,440,306,297,168,240,106,22,518,590,456,447,318,
290,156,247,118)(26,149,603,89,376,574,328,414,176,374,28,139,601,99,
378,564,326,424,178,364)(27,144,605,84,377,569,330,409,177,369,30,134,
602,94,380,559,327,419,180,359)(29,129,604,79,379,554,329,404,179,354)
(31,147,618,90,381,572,343,415,181,372,43,140,606,97,393,565,331,422,
193,365)(32,142,620,85,382,567,345,410,182,367,45,135,607,92,395,560,
332,417,195,360)(33,137,616,100,383,562,341,425,183,362,41,150,608,87,
391,575,333,412,191,375)(34,127,619,80,384,552,344,405,184,352,44,130,
609,77,394,555,334,402,194,355)(35,132,617,95,385,557,342,420,185,357,
42,145,610,82,392,570,335,407,192,370)(36,146,623,88,386,571,348,413,
186,371,48,138,611,96,398,563,336,421,198,363)(37,141,625,83,387,566,
350,408,187,366,50,133,612,91,400,558,337,416,200,358)(38,136,621,98,
388,561,346,423,188,361,46,148,613,86,396,573,338,411,196,373)
(39,126,624,78,389,551,349,403,189,351,49,128,614,76,399,553,339,401,
199,353)(40,131,622,93,390,556,347,418,190,356,47,143,615,81,397,568,
340,406,197,368)(51,274,528,214,476,74,253,539,201,499,53,264,526,224,
478,64,251,549,203,489)(52,269,530,209,477,69,255,534,202,494,55,259,
527,219,480,59,252,544,205,484)(54,254,529,204,479)(56,272,543,215,481,
72,268,540,206,497,68,265,531,222,493,65,256,547,218,490)
(57,267,545,210,482,67,270,535,207,492,70,260,532,217,495,60,257,542,
220,485)(58,262,541,225,483,62,266,550,208,487,66,275,533,212,491,75,
258,537,216,500)(61,271,548,213,486,71,273,538,211,496,73,263,536,221,
498,63,261,546,223,488),(1,578,323,422,237,14,584,310,420,241)
(2,588,324,407,240,19,581,305,418,246)(3,598,322,412,239,9,585,320,
416,226)(4,583,325,417,236)(5,593,321,402,238,24,582,315,419,231)
(6,580,318,421,227,13,599,307,415,244)(7,590,319,406,230,18,596,302,
413,249)(8,600,317,411,229)(10,595,316,401,228,23,597,312,414,234)
(11,579,308,425,242)(12,589,309,410,245,16,576,303,423,247)
(15,594,306,405,243,21,577,313,424,232)(17,586,304,408,250)
(20,591,301,403,248,22,587,314,409,235)(25,592,311,404,233)
(26,203,273,547,187,389,609,60,470,366)(27,213,274,532,190,394,606,55,
468,371)(28,223,272,537,189,384,610,70,466,351)(29,208,275,542,186,379,
608,75,467,361)(30,218,271,527,188,399,607,65,469,356)(31,205,268,546,
177,388,624,57,465,369)(32,215,269,531,180,393,621,52,463,374)
(33,225,267,536,179,383,625,67,461,354)(34,210,270,541,176,378,623,72,
462,364)(35,220,266,526,178,398,622,62,464,359)(36,204,258,550,192,386,
604,58,475,367)(37,214,259,535,195,391,601,53,473,372)(38,224,257,540,
194,381,605,68,471,352)(39,209,260,545,191,376,603,73,472,362)
(40,219,256,530,193,396,602,63,474,357)(41,201,253,548,197,387,614,59,
460,370)(42,211,254,533,200,392,611,54,458,375)(43,221,252,538,199,382,
615,69,456,355)(44,206,255,543,196,377,613,74,457,365)(45,216,251,528,
198,397,612,64,459,360)(46,202,263,549,182,390,619,56,455,368)
(47,212,264,534,185,395,616,51,453,373)(48,222,262,539,184,385,620,66,
451,353)(49,207,265,544,181,380,618,71,452,363)(50,217,261,529,183,400,
617,61,454,358)(76,328,298,172,137,514,559,435,495,116)(77,338,299,157,
140,519,556,430,493,121)(78,348,297,162,139,509,560,445,491,101)
(79,333,300,167,136,504,558,450,492,111)(80,343,296,152,138,524,557,440,
494,106)(81,330,293,171,127,513,574,432,490,119)(82,340,294,156,130,518,
571,427,488,124)(83,350,292,161,129,508,575,442,486,104)(84,335,295,166,
126,503,573,447,487,114)(85,345,291,151,128,523,572,437,489,109)
(86,329,283,175,142,511,554,433,500,117)(87,339,284,160,145,516,551,428,
498,122)(88,349,282,165,144,506,555,443,496,102)(89,334,285,170,141,501,
553,448,497,112)(90,344,281,155,143,521,552,438,499,107)(91,326,278,173,
147,512,564,434,485,120)(92,336,279,158,150,517,561,429,483,125)
(93,346,277,163,149,507,565,444,481,105)(94,331,280,168,146,502,563,449,
482,115)(95,341,276,153,148,522,562,439,484,110)(96,327,288,174,132,515,
569,431,480,118)(97,337,289,159,135,520,566,426,478,123)(98,347,287,164,
134,510,570,441,476,103)(99,332,290,169,131,505,568,446,477,113)
(100,342,286,154,133,525,567,436,479,108)]],
[18,207360000,0,"4c",[[16,1],[32,3],[256,2]],1,
"L2,4 on projective points^4.14",["A",5,4],
[(1,31,61,21,106,51,46,111)(2,281,63,146,109,551,50,486)
(3,156,64,521,110,426,47,361)(4,531,65,396,107,301,48,236)
(5,406,62,271,108,176,49,611)(6,56,71,121,101,26,36,11)
(7,306,73,246,104,526,40,386)(8,181,74,621,105,401,37,261)
(9,556,75,496,102,276,38,136)(10,431,72,371,103,151,39,511)
(12,256,58,196,124,601,30,411)(13,131,59,571,125,476,27,286)
(14,506,60,446,122,351,28,161)(15,381,57,321,123,226,29,536)
(16,81,66,96,116,76,41,86)(17,331,68,221,119,576,45,461)
(18,206,69,596,120,451,42,336)(19,581,70,471,117,326,43,211)
(20,456,67,346,118,201,44,586)(22,356,53,171,114,501,35,436)
(23,231,54,546,115,376,32,311)(24,606,55,421,112,251,33,186)
(25,481,52,296,113,126,34,561)(77,291,88,141,84,566,100,491)
(78,166,89,516,85,441,97,366)(79,541,90,391,82,316,98,241)
(80,416,87,266,83,191,99,616)(92,341,93,216,94,591,95,466)
(127,284,563,150,484,552,300,488)(128,159,564,525,485,427,297,363)
(129,534,565,400,482,302,298,238)(130,409,562,275,483,177,299,613)
(132,309,573,250,479,527,290,388)(133,184,574,625,480,402,287,263)
(134,559,575,500,477,277,288,138)(135,434,572,375,478,152,289,513)
(137,259,558,200,499,602,280,413)(139,509,560,450,497,352,278,163)
(140,384,557,325,498,227,279,538)(142,334,568,225,494,577,295,463)
(143,209,569,600,495,452,292,338)(144,584,570,475,492,327,293,213)
(145,459,567,350,493,202,294,588)(147,359,553,175,489,502,285,438)
(148,234,554,550,490,377,282,313)(149,609,555,425,487,252,283,188)
(153,164,514,510,435,447,372,353)(154,539,515,385,432,322,373,228)
(155,414,512,260,433,197,374,603)(157,314,523,235,429,547,365,378)
(158,189,524,610,430,422,362,253)(160,439,522,360,428,172,364,503)
(162,264,508,185,449,622,355,403)(165,389,507,310,448,247,354,528)
(167,339,518,210,444,597,370,453)(168,214,519,585,445,472,367,328)
(169,589,520,460,442,347,368,203)(170,464,517,335,443,222,369,578)
(173,239,504,535,440,397,357,303)(174,614,505,410,437,272,358,178)
(179,549,615,380,407,312,273,233)(180,424,612,255,408,187,274,608)
(182,324,623,230,404,537,265,383)(183,199,624,605,405,412,262,258)
(190,399,607,305,423,237,254,533)(192,349,618,205,419,587,270,458)
(193,224,619,580,420,462,267,333)(194,599,620,455,417,337,268,208)
(195,474,617,330,418,212,269,583)(198,249,604,530,415,387,257,308)
(204,544,590,395,457,317,348,243)(207,319,598,245,454,542,340,393)
(215,394,582,320,473,242,329,543)(217,344,593,220,469,592,345,468)
(218,219,594,595,470,467,342,343)(223,244,579,545,465,392,332,318)
(229,529,540,390,382,307,323,248)(232,304,548,240,379,532,315,398),
(1,144,388,510,251,19,138,385,501,269,13,135,376,519,263,10,126,394,513,
260)(2,142,387,507,252,17,137,382,502,267,12,132,377,517,262,7,127,
392,512,257)(3,145,386,509,253,20,136,384,503,270,11,134,378,520,261,
9,128,395,511,259)(4,143,390,506,254,18,140,381,504,268,15,131,379,
518,265,6,129,393,515,256)(5,141,389,508,255,16,139,383,505,266,14,
133,380,516,264,8,130,391,514,258)(21,149,398,525,271,24,148,400,521,
274,23,150,396,524,273,25,146,399,523,275)(22,147,397,522,272)
(26,219,413,585,276,94,163,460,526,344,38,210,401,594,288,85,151,469,
538,335)(27,217,412,582,277,92,162,457,527,342,37,207,402,592,287,82,
152,467,537,332)(28,220,411,584,278,95,161,459,528,345,36,209,403,595,
286,84,153,470,536,334)(29,218,415,581,279,93,165,456,529,343,40,206,
404,593,290,81,154,468,540,331)(30,216,414,583,280,91,164,458,530,341,
39,208,405,591,289,83,155,466,539,333)(31,204,418,590,281,79,168,465,
531,329,43,215,406,579,293,90,156,454,543,340)(32,202,417,587,282,77,
167,462,532,327,42,212,407,577,292,87,157,452,542,337)(33,205,416,589,
283,80,166,464,533,330,41,214,408,580,291,89,158,455,541,339)
(34,203,420,586,284,78,170,461,534,328,45,211,409,578,295,86,159,453,
545,336)(35,201,419,588,285,76,169,463,535,326,44,213,410,576,294,88,
160,451,544,338)(46,224,423,600,296,99,173,475,546,349,48,225,421,599,
298,100,171,474,548,350)(47,222,422,597,297,97,172,472,547,347)
(49,223,425,596,299,98,175,471,549,348,50,221,424,598,300,96,174,473,
550,346)(51,244,438,610,301,119,188,485,551,369,63,235,426,619,313,110,
176,494,563,360)(52,242,437,607,302,117,187,482,552,367,62,232,427,617,
312,107,177,492,562,357)(53,245,436,609,303,120,186,484,553,370,61,234,
428,620,311,109,178,495,561,359)(54,243,440,606,304,118,190,481,554,368,
65,231,429,618,315,106,179,493,565,356)(55,241,439,608,305,116,189,483,
555,366,64,233,430,616,314,108,180,491,564,358)(56,229,443,615,306,104,
193,490,556,354,68,240,431,604,318,115,181,479,568,365)(57,227,442,612,
307,102,192,487,557,352,67,237,432,602,317,112,182,477,567,362)
(58,230,441,614,308,105,191,489,558,355,66,239,433,605,316,114,183,480,
566,364)(59,228,445,611,309,103,195,486,559,353,70,236,434,603,320,111,
184,478,570,361)(60,226,444,613,310,101,194,488,560,351,69,238,435,601,
319,113,185,476,569,363)(71,249,448,625,321,124,198,500,571,374,73,250,
446,624,323,125,196,499,573,375)(72,247,447,622,322,122,197,497,572,372)
(74,248,450,621,324,123,200,496,574,373,75,246,449,623,325,121,199,498,
575,371),(1,590,154,310,101,465,129,560,26,340,229,435)
(2,595,152,320,102,470,127,570,27,345,227,445)(3,600,153,325,103,475,
128,575,28,350,228,450)(4,585,151,315,104,460,126,565,29,335,226,440)
(5,580,155,305,105,455,130,555,30,330,230,430)(6,586,164,309,106,461,
139,559,31,336,239,434)(7,591,162,319,107,466,137,569,32,341,237,444)
(8,596,163,324,108,471,138,574,33,346,238,449)(9,581,161,314,109,456,
136,564,34,331,236,439)(10,576,165,304,110,451,140,554,35,326,240,429)
(11,589,159,306,111,464,134,556,36,339,234,431)(12,594,157,316,112,469,
132,566,37,344,232,441)(13,599,158,321,113,474,133,571,38,349,233,446)
(14,584,156,311,114,459,131,561,39,334,231,436)(15,579,160,301,115,454,
135,551,40,329,235,426)(16,587,169,307,116,462,144,557,41,337,244,432)
(17,592,167,317,117,467,142,567,42,342,242,442)(18,597,168,322,118,472,
143,572,43,347,243,447)(19,582,166,312,119,457,141,562,44,332,241,437)
(20,577,170,302,120,452,145,552,45,327,245,427)(21,588,174,308,121,463,
149,558,46,338,249,433)(22,593,172,318,122,468,147,568,47,343,247,443)
(23,598,173,323,123,473,148,573,48,348,248,448)(24,583,171,313,124,458,
146,563,49,333,246,438)(25,578,175,303,125,453,150,553,50,328,250,428)
(51,90,204,185)(52,95,202,195)(53,100,203,200)(54,85,201,190)
(55,80,205,180)(56,86,214,184)(57,91,212,194)(58,96,213,199)
(59,81,211,189)(60,76,215,179)(61,89,209,181)(62,94,207,191)
(63,99,208,196)(64,84,206,186)(65,79,210,176)(66,87,219,182)
(67,92,217,192)(68,97,218,197)(69,82,216,187)(70,77,220,177)
(71,88,224,183)(72,93,222,193)(73,98,223,198)(74,83,221,188)
(75,78,225,178)(251,615,404,260,601,415,254,610,401,265,604,410)
(252,620,402,270,602,420)(253,625,403,275,603,425)(255,605,405)
(256,611,414,259,606,411,264,609,406,261,614,409)(257,616,412,269,607,416,
262,619,407,266,612,419)(258,621,413,274,608,421,263,624,408,271,613,424)
(267,617,417)(268,622,418,272,618,422)(273,623,423)(276,365,479,385,501,540,
279,360,476,390,504,535)(277,370,477,395,502,545)(278,375,478,400,503,550)
(280,355,480,380,505,530)(281,361,489,384,506,536,289,359,481,386,514,534)
(282,366,487,394,507,541,287,369,482,391,512,544)(283,371,488,399,508,546,
288,374,483,396,513,549)(284,356,486,389,509,531,286,364,484,381,511,539)
(285,351,490,379,510,526,290,354,485,376,515,529)(291,362,494,382,516,537,
294,357,491,387,519,532)(292,367,492,392,517,542)(293,372,493,397,518,547)
(295,352,495,377,520,527)(296,363,499,383,521,538,299,358,496,388,524,533)
(297,368,497,393,522,543)(298,373,498,398,523,548)(300,353,500,378,525,528)
]],
[19,207360000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.15",["A",5,4],
[(1,86,591,343,270,290,535,158,134,239,604,103)(2,61,596,468,267,315,550,
408,132,189,624,478)(3,11,586,593,268,265,540,533,133,139,614,603)
(4,111,576,93,266,340,545,283,135,164,609,228)(5,36,581,218,269,365,
530,33,131,214,619,353)(6,211,594,368,255,40,531,208,144,364,605,28)
(7,186,599,493,252,65,546,458,142,314,625,403)(8,136,589,618,253,15,
536,583,143,264,615,528)(9,236,579,118,251,90,541,333,145,289,610,153)
(10,161,584,243,254,115,526,83,141,339,620,278)(12,561,598,393,262,565,
548,383,137,564,623,378)(13,511,588,518,263,515,538,508,138,514,613,503)
(14,611,578,18,261,590,543,258,140,539,608,128)(16,336,595,293,260,165,
534,233,129,114,601,78)(17,311,600,418,257,190,549,483,127,64,621,453)
(19,361,580,43,256,215,544,358,130,39,606,203)(20,286,585,168,259,240,
529,108,126,89,616,328)(21,461,592,318,275,415,532,183,149,489,602,53)
(22,436,597,443,272,440,547,433,147,439,622,428)(23,386,587,568,273,390,
537,558,148,389,612,553)(24,486,577,68,271,465,542,308,150,414,607,178)
(25,411,582,193,274,490,527,58,146,464,617,303)(26,81,216,344,370,280,
35,156,209,244,354,105)(27,56,221,469,367,305,50,406,207,194,374,480)
(29,106,201,94,366,330,45,281,210,169,359,230)(30,31,206,219,369,355)
(32,181,224,494,352,55,46,456,217,319,375,405)(34,231,204,119,351,80,
41,331,220,294,360,155)(37,556,223,394,362,555,48,381,212,569,373,380)
(38,506,213,519,363,505)(42,306,225,419,357,180,49,481,202,69,371,455)
(44,356,205)(47,431,222,444,372,430)(51,96,466,342,320,300,410,157,184,
249,479,102)(52,71,471,467,317,325,425,407,182,199,499,477)
(54,121,451,92,316,350,420,282,185,174,484,227)(57,196,474,492,302,75,
421,457,192,324,500,402)(59,246,454,117,301,100,416,332,195,299,485,152)
(60,171,459,242,304,125,401,82,191,349,495,277)(62,571,473,392,312,575,
423,382,187,574,498,377)(63,521,463,517,313,525,413,507,188,524,488,502)
(66,346,470,292,310,175,409,232,179,124,476,77)(67,321,475,417,307,200,
424,482,177,74,496,452)(70,296,460,167,309,250,404,107,176,99,491,327)
(72,446,472,442,322,450,422,432,197,449,497,427)(73,396,462,567,323,400,
412,557,198,399,487,552)(76,91,341,345,295,285,160,159,234,229,104,101)
(79,116,326,95,291,335,170,284,235,154,109,226)(84,241,329,120,276,85,
166,334,245,279,110,151)(87,566,348,395,287,560,173,384,237,554,123,376)
(88,516,338,520,288,510,163,509,238,504,113,501)(97,441,347,445,297,435,
172,434,247,429,122,426)(98,391,337,570,298,385,162,559,248,379,112,551)
(387,562,573,398)(388,512,563,523)(397,437,572,448)(438,522),
(1,466,70,485,9,474,73,488,12,452,51,491,20,460,59,499,23,463,62,
477)(2,451,66,495,10,459,74,498,13,462,52,476,16,470,60,484,24,
473,63,487)(3,461,67,480,6,469,75,483,14,472,53,486,17,455,56,
494,25,458,64,497)(4,471,68,490,7,454,71,493,15,457,54,496,18,
465,57,479,21,468,65,482)(5,456,69,500,8,464,72,478,11,467,55,
481,19,475,58,489,22,453,61,492)(26,416,45,410,34,424,48,413,37,
402)(27,401,41,420,35,409,49,423,38,412)(28,411,42,405,31,419,50,
408,39,422)(29,421,43,415,32,404,46,418,40,407)(30,406,44,425,33,
414,47,403,36,417)(76,441,120,385,84,449,123,388,87,427,101,391,95,
435,109,399,98,438,112,377)(77,426,116,395,85,434,124,398,88,437,102,
376,91,445,110,384,99,448,113,387)(78,436,117,380,81,444,125,383,89,
447,103,386,92,430,106,394,100,433,114,397)(79,446,118,390,82,429,121,
393,90,432,104,396,93,440,107,379,96,443,115,382)(80,431,119,400,83,
439,122,378,86,442,105,381,94,450,108,389,97,428,111,392)
(126,216,195,235,134,224,198,238,137,202,176,241,145,210,184,249,148,213,
187,227)(127,201,191,245,135,209,199,248,138,212,177,226,141,220,185,234,
149,223,188,237)(128,211,192,230,131,219,200,233,139,222,178,236,142,205,
181,244,150,208,189,247)(129,221,193,240,132,204,196,243,140,207,179,246,
143,215,182,229,146,218,190,232)(130,206,194,250,133,214,197,228,136,217,
180,231,144,225,183,239,147,203,186,242)(151,166,170,160,159,174,173,163,
162,152)(153,161,167,155,156,169,175,158,164,172)(154,171,168,165,157)
(251,341,320,360,259,349,323,363,262,327,301,366,270,335,309,374,273,338,
312,352)(252,326,316,370,260,334,324,373,263,337,302,351,266,345,310,359,
274,348,313,362)(253,336,317,355,256,344,325,358,264,347,303,361,267,330,
306,369,275,333,314,372)(254,346,318,365,257,329,321,368,265,332,304,371,
268,340,307,354,271,343,315,357)(255,331,319,375,258,339,322,353,261,342,
305,356,269,350,308,364,272,328,311,367)(276,291,295,285,284,299,298,288,
287,277)(278,286,292,280,281,294,300,283,289,297)(279,296,293,290,282)
(501,591,570,610,509,599,573,613,512,577,551,616,520,585,559,624,523,588,
562,602)(502,576,566,620,510,584,574,623,513,587,552,601,516,595,560,609,
524,598,563,612)(503,586,567,605,506,594,575,608,514,597,553,611,517,580,
556,619,525,583,564,622)(504,596,568,615,507,579,571,618,515,582,554,621,
518,590,557,604,521,593,565,607)(505,581,569,625,508,589,572,603,511,592,
555,606,519,600,558,614,522,578,561,617)(526,541,545,535,534,549,548,538,
537,527)(528,536,542,530,531,544,550,533,539,547)(529,546,543,540,532),
(1,549,65,459,301,533,365,468,226,542,140,472)(2,524,75,84,304,558,360,
343,228,617,145,222)(3,624,70,209,302,508,375,93,229,567,135,347)
(4,574,60,334,303,608,370,218,227,517,150,97)(5,599,55,584,305,583,
355,593,230,592,130,597)(6,299,63,484,316,158,362,393,246,42,139,447)
(7,274,73,109,319,183,357,268,248,117,144,197)(8,374,68,234,317,133,
372,18,249,67,134,322)(9,324,58,359,318,233,367,143,247,17,149,72)
(10,349,53,609,320,208,352,518,250,92,129,572)(11,424,61,409,311,408,
361,418,236,417,136,422)(12,399,71,34,314,433,356,293,238,492,141,172)
(13,499,66,159,312,383,371,43,239,442,131,297)(14,449,56,284,313,483,
366,168,237,392,146,47)(15,474,51,534,315,458,351,543,240,467,126,547)
(16,174,62,384,321,33,364,443,231,292,138,497)(19,199,57,259,323,108,
369,193,232,267,148,122)(20,224,52,509,325,83,354,568,235,342,128,622)
(21,49,64,434,306,283,363,493,241,167,137,397)(22,24,74,59,309,308,
358,368,243,242,142,147)(23,124,69,184,307,258,373,118,244,192,132,272)
(25,99,54,559,310,333,353,618,245,217,127,522)(26,539,440,456,276,538,
490,466,151,537,390,471)(27,514,450,81,279,563,485,341,153,612,395,221)
(28,614,445,206,277,513,500,91,154,562,385,346)(29,564,435,331,278,613,
495,216,152,512,400,96)(30,589,430,581,280,588,480,591,155,587,380,596)
(31,289,438,481,291,163,487,391,171,37,389,446)(32,264,448,106,294,188,
482,266,173,112,394,196)(35,339,428,606,295,213,477,516,175,87,379,571)
(36,414,436,406,286,413,486,416,161,412,386,421)(38,489,441,156,287,388,
496,41,164,437,381,296)(39,439,431,281,288,488,491,166,162,387,396,46)
(40,464,426,531,290,463,476,541,165,462,376,546)(44,189,432,256,298,113,
494,191,157,262,398,121)(45,214,427,506,300,88,479,566,160,337,378,621)
(48,114,444,181,282,263,498,116,169,187,382,271)(50,89,429,556,285,338,
478,616,170,212,377,521)(76,529,565,460,326,528,615,470,201,527,515,475)
(77,504,575,85,329,553,610,345,203,602,520,225)(78,604,570,210,327,503,
625,95,204,552,510,350)(79,554,560,335,328,603,620,220,202,502,525,100)
(80,579,555,585,330,578,605,595,205,577,505,600)(82,254,573,110,344,178,
607,270,223,102,519,200)(86,404,561,410,336,403,611,420,211,402,511,425)
(90,454,551,535,340,453,601,545,215,452,501,550)(94,179,557,260,348,103,
619,195,207,252,523,125)(98,104,569,185,332,253,623,120,219,177,507,275)
(101,544,190,457,251,548,115,469,176,532,265,473)(105,594,180,582,255,598)
(107,269,198)(111,419,186,407,261,423)(119,194,182,257,273,123)
(401,536,415,461)(405,586)(451,526,540,465)(455,576,530,590)]],
[20,207360000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.16",["A",5,4],
[(1,511,13,518,20,510,9,524,22,502)(2,501,11,513,18,520,10,509,24,
522)(3,516,15,508,19,525,7,504,21,512)(4,521,12,503,16,515,8,
519,25,507)(5,506,14,523,17,505,6,514,23,517)(26,561,88,618,45,
560,84,624,47,552,76,611,38,568,95,610,34,574,97,602)
(27,551,86,613,43,570,85,609,49,572,77,601,36,563,93,620,35,559,
99,622)(28,566,90,608,44,575,82,604,46,562,78,616,40,558,94,625,
32,554,96,612)(29,571,87,603,41,565,83,619,50,557,79,621,37,553,
91,615,33,569,100,607)(30,556,89,623,42,555,81,614,48,567,80,606,
39,573,92,605,31,564,98,617)(51,586,113,543,70,585,109,549,72,577,
101,536,63,593,120,535,59,599,122,527)(52,576,111,538,68,595,110,534,
74,597,102,526,61,588,118,545,60,584,124,547)(53,591,115,533,69,600,
107,529,71,587,103,541,65,583,119,550,57,579,121,537)(54,596,112,528,
66,590,108,544,75,582,104,546,62,578,116,540,58,594,125,532)
(55,581,114,548,67,580,106,539,73,592,105,531,64,598,117,530,56,589,
123,542)(126,386,263,143,395,260,134,399,272,127,376,261,138,393,270,135,
384,274,147,377,251,136,388,268,145,385,259,149,397,252)(128,391,265,133,
394,275,132,379,271,137,378,266,140,383,269,150,382,254,146,387,253,141,
390,258,144,400,257,129,396,262)(130,381,264,148,392,255,131,389,273,142,
380,256,139,398,267)(151,436,338,243,420,310,209,499,297,177,451,361,163,
443,345,235,409,324,222,477,276,186,463,368,170,435,334,249,422,302,201,
486,288,193,470,360,159,449,347,227,401,311,213,493,295,185,459,374,172,
427,326,236,413,318,220,485,284,199,472,352)(152,426,336,238,418,320,210,
484,299,197,452,351,161,438,343,245,410,309,224,497,277,176,461,363,168,
445,335,234,424,322,202,476,286,188,468,370,160,434,349,247,402,301,211,
488,293,195,460,359,174,447,327,226,411,313,218,495,285,184,474,372)
(153,441,340,233,419,325,207,479,296,187,453,366,165,433,344,250,407,304,
221,487,278,191,465,358,169,450,332,229,421,312,203,491,290,183,469,375,
157,429,346,237,403,316,215,483,294,200,457,354,171,437,328,241,415,308,
219,500,282,179,471,362)(154,446,337,228,416,315,208,494,300,182,454,371,
162,428,341,240,408,319,225,482,279,196,462,353,166,440,333,244,425,307,
204,496,287,178,466,365,158,444,350,232,404,321,212,478,291,190,458,369,
175,432,329,246,412,303,216,490,283,194,475,357)(155,431,339,248,417,305,
206,489,298,192,455,356,164,448,342,230,406,314,223,492,280,181,464,373,
167,430,331,239,423,317,205,481,289,198,467,355,156,439,348,242,405,306,
214,498,292,180,456,364,173,442,330,231,414,323,217,480,281,189,473,367),
(1,549,390,323,467,228,581,30,564,270,197,491,158,86,279,512,375,432,118,
209)(2,624,385,73,469,128,596,405,563,345,177,616,160,61,294,137,371,
407,113,334)(3,599,380,573,470,178,591,155,561,295,187,366,157,111,284,
12,374,382,123,459)(4,524,400,448,468,203,576,530,565,320,192,241,156,
36,289,262,372,482,108,84)(5,574,395,198,466,153,586,280,562,370,182,
116,159,11,299,387,373,457,103,584)(6,49,389,273,472,478,583,80,554,
520,200,441,168,211,276,537,365,307,117,234)(7,124,384,23,474,378,598,
455,553,595,180,566,170,186,291,162,361,282,112,359)(8,99,379,523,475,
428,593,205,551,545,190,316,167,236,281,37,364,257,122,484)
(9,24,399,398,473,453,578,580,555,570,195,191,166,161,286,287,362,357,
107,109)(10,74,394,148,471,403,588,330,552,620,185,66,169,136,296,412,
363,332,102,609)(13,349,377,623,460,53,594,130,571,420,188,341,152,611,
285,62,369,132,121,409)(14,274,397,498,458,78,579,505,575,445,193,216,
151,536,290,312,367,232,106,34)(15,324,392,248,456,28,589,255,572,495,
183,91,154,511,300,437,368,207,101,534)(16,174,386,298,462,353,582,105,
559,20,199,391,173,461,278,587,355,557,120,184)(17,249,381,48,464,253,
597,480,558,95,179,516,175,436,293,212,351,532,115,309)(18,224,376,548,
465,303,592,230,556,45,189,266,172,486,283,87,354,507,125,434)
(19,149,396,423,463,328,577,605,560,70,194,141,171,411,288,337,352,607,
110,59)(21,424,388,348,452,603,585,55,569,145,196,416,163,336,277,612,
360,57,119,134)(22,499,383,98,454,503,600,430,568,220,176,541,165,311,
292,237,356,32,114,259)(25,449,393,223,451,528,590,305,567,245,181,41,
164,261,297,487,358,82,104,509)(26,539,265,322,492,233,81,29,514,275,
447,493,208,76,529,515,325,442,243,206)(27,614,260,72,494,133,96,404,
513,350,427,618,210,51,544,140,321,417,238,331)(31,39,264,272,497,483,
83,79,504,525,450,443,218,201,526,540,315,317,242,231)(33,89,254,522,
500,433,93,204,501,550,440,318,217,226,531,40,314,267,247,481)
(35,64,269,147,496,408,88,329,502,625,435,68,219,126,546,415,313,342,
227,606)(38,339,252,622,485,58,94,129,521,425,438,343,202,601,535,65,
319,142,246,406)(42,239,256,47,489,258,97,479,508,100,429,518,225,426,
543,215,301,542,240,306)(43,214,251,547,490,308,92,229,506,50,439,268,
222,476,533,90,304,517,250,431)(44,139,271,422,488,333,77,604,510,75,
444,143,221,401,538,340,302,617,235,56)(46,414,263,347,477,608,85,54,
519,150,446,418,213,326,527,615,310,67,244,131)(52,619,135,71,419,138,
346,402,613,335)(60,69,144,146,421,413,338,327,602,610)(63,344,127,621,
410)]],
[21,207360000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.17",["A",5,4],
[(1,284,25,278,6,299,5,283,21,279,10,298)(2,282,22,277,7,297)
(3,281,24,280,8,296,4,285,23,276,9,300)(11,294,15,293)(12,292)
(13,291,14,295)(16,289,20,288)(17,287)(18,286,19,290)
(26,259,50,253,31,274,30,258,46,254,35,273)(27,257,47,252,32,272)
(28,256,49,255,33,271,29,260,48,251,34,275)(36,269,40,268)(37,267)
(38,266,39,270)(41,264,45,263)(42,262)(43,261,44,265)
(51,309,75,303,56,324,55,308,71,304,60,323)(52,307,72,302,57,322)
(53,306,74,305,58,321,54,310,73,301,59,325)(61,319,65,318)(62,317)
(63,316,64,320)(66,314,70,313)(67,312)(68,311,69,315)
(76,359,100,353,81,374,80,358,96,354,85,373)(77,357,97,352,82,372)
(78,356,99,355,83,371,79,360,98,351,84,375)(86,369,90,368)(87,367)
(88,366,89,370)(91,364,95,363)(92,362)(93,361,94,365)
(101,334,125,328,106,349,105,333,121,329,110,348)(102,332,122,327,107,347)
(103,331,124,330,108,346,104,335,123,326,109,350)(111,344,115,343)(112,342)
(113,341,114,345)(116,339,120,338)(117,337)(118,336,119,340)
(126,159,150,153,131,174,130,158,146,154,135,173)(127,157,147,152,132,172)
(128,156,149,155,133,171,129,160,148,151,134,175)(136,169,140,168)(137,167)
(138,166,139,170)(141,164,145,163)(142,162)(143,161,144,165)
(176,184,200,178,181,199,180,183,196,179,185,198)(177,182,197)
(186,194,190,193)(187,192)(188,191,189,195)(201,234,225,228,206,249,205,233,
221,229,210,248)(202,232,222,227,207,247)(203,231,224,230,208,246,204,235,
223,226,209,250)(211,244,215,243)(212,242)(213,241,214,245)(216,239,220,238
)(217,237)(218,236,219,240)(376,534,400,528,381,549,380,533,396,529,385,548
)(377,532,397,527,382,547)(378,531,399,530,383,546,379,535,398,526,384,550)
(386,544,390,543)(387,542)(388,541,389,545)(391,539,395,538)(392,537)
(393,536,394,540)(401,509,425,503,406,524,405,508,421,504,410,523)
(402,507,422,502,407,522)(403,506,424,505,408,521,404,510,423,501,409,525)
(411,519,415,518)(412,517)(413,516,414,520)(416,514,420,513)(417,512)
(418,511,419,515)(426,559,450,553,431,574,430,558,446,554,435,573)
(427,557,447,552,432,572)(428,556,449,555,433,571,429,560,448,551,434,575)
(436,569,440,568)(437,567)(438,566,439,570)(441,564,445,563)(442,562)
(443,561,444,565)(451,609,475,603,456,624,455,608,471,604,460,623)
(452,607,472,602,457,622)(453,606,474,605,458,621,454,610,473,601,459,625)
(461,619,465,618)(462,617)(463,616,464,620)(466,614,470,613)(467,612)
(468,611,469,615)(476,584,500,578,481,599,480,583,496,579,485,598)
(477,582,497,577,482,597)(478,581,499,580,483,596,479,585,498,576,484,600)
(486,594,490,593)(487,592)(488,591,489,595)(491,589,495,588)(492,587)
(493,586,494,590),(1,319,5,194,15,219,12,594,22,544,21,294)
(2,569,25,169,11,344)(3,444,10,244,13,469,7,619,23,419,6,369)
(4,69,20,144,14,94,17,519,24,44,16,269)(8,494)(9,119,18,394)
(26,316,255,179,65,220,137,589,97,542,521,299)(27,566,275,154,61,345,
127,564,100,167,511,349)(28,441,260,229,63,470,132,614,98,417,506,374)
(29,66,270,129,64,95,142,514,99,42,516,274)(30,191,265,204,62,595,
147,539,96,292,501,324)(31,366,253,429,60,245,138,464,82,617,523,424)
(32,616,273,404,56,370,128,439,85,242,513,474)(33,491,258,479,58,495,
133,489,83,492,508,499)(34,116,268,379,59,120,143,389,84,117,518,399)
(35,241,263,454,57,620,148,414,81,367,503,449)(36,341,252,554,75,170,
136,339,77,567,525,174)(37,591,272,529,71,295,126,314,80,192,515,224)
(38,466,257,604,73,420,131,364,78,442,510,249)(39,91,267,504,74,45,
141,264,79,67,520,149)(40,216,262,579,72,545,146,289,76,317,505,199)
(41,266,254,54,70,145,139,89,92,517,524,49)(43,391,259,104,68,395,
134,114,93,392,509,124)(46,291,251,304,55,195,140,214,87,592,522,549)
(47,541,271,279,51,320,130,189,90,217,512,599)(48,416,256,354,53,445,
135,239,88,467,507,624)(50,166,261,329,52,570,150,164,86,342,502,574)
(101,318,380,184,115,218,387,584,122,543,396,284)(102,568,400,159,111,343,
377,559,125,168,386,334)(103,443,385,234,113,468,382,609,123,418,381,359)
(105,193,390,209,112,593,397,534,121,293,376,309)(106,368,378,434,110,243,
388,459,107,618,398,409)(108,493,383,484)(109,118,393,384)(151,311,330,177,
565,225,162,586,347,527,571,300)(152,561,350)(153,436,335,227,563,475,157,
611,348,402,556,375)(155,186,340,202,562,600,172,536,346,277,551,325)
(156,361,328,427,560,250,163,461,332,602,573,425)(158,486,333,477,558,500)
(160,236,338,452,557,625,173,411,331,352,553,450)(161,336,327,552,575,175)
(165,211,337,577,572,550,171,286,326,302,555,200)(176,315,205,187,590,222,
537,596,297,526,321,280)(178,440,210,237,588,472,532,621,298,401,306,355)
(180,190,215,212,587,597,547,546,296,276,301,305)(181,365,203,437,585,247,
538,471,282,601,323,405)(182,615,223,412,581,372,528,446,285,226,313,455)
(183,490,208,487,583,497,533,496,283,476,308,480)(185,240,213,462,582,622,
548,421,281,351,303,430)(188,465,207,612,598,422,531,371,278,426,310,230)
(196,290,201,312,580,197,540,221,287,576,322,530)(198,415,206,362,578,447,
535,246,288,451,307,605)(228,438,460,232,613,473,407,606,373,403,431,360)
(231,363,453,432,610,248,413,456,357,603,448,410)(233,488,458,482,608,498,
408,481,358,478,433,485)(235,238,463,457,607,623,423,406,356,353,428,435)
]],
[22,207360000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.18",["A",5,4],
[(1,428,465,275,502,479,410,20,128,451,450,515,254,402,495,135)
(2,478,460,25,503,454,425,520,129,401,445,140,251,427,490,260)
(3,453,475,525,504,404,420,145,126,426,440,265,252,477,485,10)
(4,403,470,150,501,429,415,270,127,476,435,15,253,452,500,510)
(5,378,455,400,505,379,405,395,130,376,430,390,255,377,480,385)
(6,53,463,350,522,604,409,45,143,201,446,565,264,277,492,235)
(7,103,458,100,523,579,424,545,144,151,441,190,261,302,487,360)
(8,78,473,600,524,529,419,170,141,176,436,315,262,352,482,110)
(9,28,468,225,521,554,414,295,142,226,431,65,263,327,497,610)
(11,303,462,375,507,104,408,95,148,576,449,540,269,152,491,185)
(12,353,457,125,508,79,423,595,149,526,444,165,266,177,486,310)
(13,328,472,625,509,29,418,220,146,551,439,290,267,227,481,60)
(14,278,467,250,506,54,413,345,147,601,434,40,268,202,496,560)
(16,178,461,325,512,354,407,120,133,76,448,590,274,527,494,160)
(17,228,456,75,513,329,422,620,134,26,443,215,271,552,489,285)
(18,203,471,575,514,279,417,245,131,51,438,340,272,602,484,35)
(19,153,466,200,511,304,412,370,132,101,433,90,273,577,499,535)
(21,553,464,300,517,229,406,70,138,326,447,615,259,27,493,210)
(22,603,459,50,518,204,421,570,139,276,442,240,256,52,488,335)
(23,578,474,550,519,154,416,195,136,301,437,365,257,102,483,85)
(24,528,469,175,516,179,411,320,137,351,432,115,258,77,498,585)
(30,393,205,396,555,389,280,392,230,381,55,388,330,397,605,384)
(31,68,213,346,572,614,284,42,243,206,71,563,339,297,617,234)
(32,118,208,96,573,589,299,542,244,156,66,188,336,322,612,359)
(33,93,223,596,574,539,294,167,241,181,61,313,337,372,607,109)
(34,43,218,221,571,564,289,292,242,231,56,63,338,347,622,609)
(36,318,212,371,557,114,283,92,248,581,74,538,344,172,616,184)
(37,368,207,121,558,89,298,592,249,531,69,163,341,197,611,309)
(38,343,222,621,559,39,293,217,246,556,64,288,342,247,606,59)
(41,193,211,321,562,364,282,117,233,81,73,588,349,547,619,159)
(44,168,216,196,561,314,287,367,232,106,58,88,348,597,624,534)
(46,568,214,296,567,239,281,67,238,331,72,613,334,47,618,209)
(48,593,224,546,569,164,291,192,236,306,62,363,332,122,608,84)
(49,543,219,171,566,189,286,317,237,356,57,113,333,97,623,584)
(80,398,580,399,530,394,155,391,180,386,305,387,355,382,105,383)
(82,123,583,99,548,594,174,541,194,161,316,187,361,307,112,358)
(83,98,598,599,549,544,169,166,191,186,311,312,362,357,107,108)
(86,323,587,374,532,119,158,91,198,586,324,537,369,157,116,183)
(87,373,582,124,533,94,173,591,199,536,319,162,366,182,111,308),
(1,443,509,476,268,409)(2,442,507,477,267,407)(3,444,506,478,269,406)
(4,441,508,479,266,408)(5,445,510,480,270,410)(6,428,519,481,253,419)
(7,427,517,482,252,417)(8,429,516,483,254,416)(9,426,518,484,251,418)
(10,430,520,485,255,420)(11,448,514,496,263,424)(12,447,512,497,262,422)
(13,449,511,498,264,421)(14,446,513,499,261,423)(15,450,515,500,265,425)
(16,433,504,491,258,404)(17,432,502,492,257,402)(18,434,501,493,259,401)
(19,431,503,494,256,403)(20,435,505,495,260,405)(21,438,524,486,273,414)
(22,437,522,487,272,412)(23,439,521,488,274,411)(24,436,523,489,271,413)
(25,440,525,490,275,415)(26,68,559,601,368,284)(27,67,557,602,367,282)
(28,69,556,603,369,281)(29,66,558,604,366,283)(30,70,560,605,370,285)
(31,53,569,606,353,294)(32,52,567,607,352,292)(33,54,566,608,354,291)
(34,51,568,609,351,293)(35,55,570,610,355,295)(36,73,564,621,363,299)
(37,72,562,622,362,297)(38,74,561,623,364,296)(39,71,563,624,361,298)
(40,75,565,625,365,300)(41,58,554,616,358,279)(42,57,552,617,357,277)
(43,59,551,618,359,276)(44,56,553,619,356,278)(45,60,555,620,360,280)
(46,63,574,611,373,289)(47,62,572,612,372,287)(48,64,571,613,374,286)
(49,61,573,614,371,288)(50,65,575,615,375,290)(76,193,584,226,343,159)
(77,192,582,227,342,157)(78,194,581,228,344,156)(79,191,583,229,341,158)
(80,195,585,230,345,160)(81,178,594,231,328,169)(82,177,592,232,327,167)
(83,179,591,233,329,166)(84,176,593,234,326,168)(85,180,595,235,330,170)
(86,198,589,246,338,174)(87,197,587,247,337,172)(88,199,586,248,339,171)
(89,196,588,249,336,173)(90,200,590,250,340,175)(91,183,579,241,333,154)
(92,182,577,242,332,152)(93,184,576,243,334,151)(94,181,578,244,331,153)
(95,185,580,245,335,155)(96,188,599,236,348,164)(97,187,597,237,347,162)
(98,189,596,238,349,161)(99,186,598,239,346,163)(100,190,600,240,350,165)
(101,318,534)(102,317,532)(103,319,531)(104,316,533)(105,320,535)
(106,303,544)(107,302,542)(108,304,541)(109,301,543)(110,305,545)
(111,323,539,121,313,549)(112,322,537,122,312,547)(113,324,536,123,314,546)
(114,321,538,124,311,548)(115,325,540,125,315,550)(116,308,529)(117,307,527)
(118,309,526)(119,306,528)(120,310,530)(126,468,134,451,143,459)
(127,467,132,452,142,457)(128,469,131,453,144,456)(129,466,133,454,141,458)
(130,470,135,455,145,460)(136,473,139,471,138,474)(137,472)(140,475)
(146,463,149,461,148,464)(147,462)(150,465)(201,218,209)(202,217,207)
(203,219,206)(204,216,208)(205,220,210)(211,223,214,221,213,224)(212,222)
(215,225)(376,393,384)(377,392,382)(378,394,381)(379,391,383)(380,395,385)
(386,398,389,396,388,399)(387,397)(390,400)]],
[23,207360000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.19",["A",5,4],
[(1,65,260,387,338,367,577,91,570,506,436,308,482,453,118,605)
(2,90,270,512,336,317,582,466,568,606,426,58,485,378,113,355)
(3,115,255,12,340,267,587,341,567,581,441,558,481,428,108,480)
(4,40,275,137,339,292,597,216,569,531,446,183,484,403,123,230)
(5,15,265,262,337,342,592,591,566,556,431,433,483,478,103,105)
(6,440,258,487,328,117,580,16,565,256,437,333,492,578,116,555)
(7,465,268,612,326,67,585,391,563,356,427,83,495,503,111,305)
(8,490,253,112,330,17,590,266,562,331,442,583,491,553,106,430)
(9,415,273,237,329,42,600,141,564,281,447,208,494,528,121,180)
(10,390,263,362,327,92,595,516,561,306,432,458,493,603,101,55)
(11,315,257,462,343,617,576,66,560,381,438,358,477,78,120,505)
(13,365,252,87,345,517,586,316,557,456,443,608,476,53,110,380)
(14,290,272,212,344,542,596,191,559,406,448,233,479,28,125,130)
(18,615,251,62,335,392,588,366,552,81,445,508,486,303,107,455)
(19,540,271,187,334,417,598,241,554,31,450,133,489,278,122,205)
(20,515,261,312,332,467,593,616,551,56,435,383,488,353,102,80)
(21,190,259,412,348,242,579,41,575,131,439,283,497,203,119,530)
(22,215,269,537,346,192,584,416,573,231,429,33,500,128,114,280)
(23,240,254,37,350,142,589,291,572,206,444,533,496,178,109,405)
(24,165,274,162,349,167,599,166,574,156,449,158,499,153,124,155)
(25,140,264,287,347,217,594,541,571,181,434,408,498,228,104,30)
(26,75,135,389,288,372,202,94,545,521,186,309,407,473,243,604)
(27,100,145,514,286,322,207,469,543,621,176,59,410,398,238,354)
(29,50,150,139,289,297,222,219,544,546,196,184,409,423,248,229)
(32,475,143,614,276,72,210,394,538,371,177,84,420,523,236,304)
(34,425,148,239,279,47,225,144,539,296,197,209,419,548,246,179)
(35,400,138,364,277,97,220,519,536,321,182,459,418,623,226,54)
(36,325,132,464,293,622,201,69,535,396,188,359,402,98,245,504)
(38,375,127,89,295,522,211,319,532,471,193,609,401,73,235,379)
(39,300,147,214,294,547,221,194,534,421,198,234,404,48,250,129)
(43,625,126,64,285,397,213,369,527,96,195,509,411,323,232,454)
(44,550,146,189,284,422,223,244,529,46,200,134,414,298,247,204)
(45,525,136,314,282,472,218,619,526,71,185,384,413,373,227,79)
(49,175,149,164,299,172,224,169,549,171,199,159,424,173,249,154)
(51,60,385,388,363,352,77,95,520,511,311,307,457,468,618,601)
(52,85,395,513,361,302,82,470,518,611,301,57,460,393,613,351)
(61,310,382,463,368,602,76,70,510,386,313,357,452,93,620,501)
(63,360,377,88,370,502,86,320,507,461,318,607,451,68,610,376)
(74,160,399,163,374,152,99,170,524,161,324,157,474,168,624,151),
(1,128,8,135,20,142,12,139,24,146)(2,138,9,150,16,127,13,134,25,
141)(3,133,10,145,17,137,14,149,21,126)(4,148,6,130,18,132,15,
144,22,136)(5,143,7,140,19,147,11,129,23,131)(26,203,58,235,45,
217,62,239,49,221,51,228,33,210,70,242,37,214,74,246)
(27,213,59,250,41,202,63,234,50,216,52,238,34,225,66,227,38,209,
75,241)(28,208,60,245,42,212,64,249,46,201,53,233,35,220,67,237,
39,224,71,226)(29,223,56,230,43,207,65,244,47,211,54,248,31,205,
68,232,40,219,72,236)(30,218,57,240,44,222,61,229,48,206,55,243,
32,215,69,247,36,204,73,231)(76,178,108,160,95,192,112,164,99,196,
101,153,83,185,120,167,87,189,124,171)(77,188,109,175,91,177,113,159,
100,191,102,163,84,200,116,152,88,184,125,166)(78,183,110,170,92,187,
114,174,96,176,103,158,85,195,117,162,89,199,121,151)(79,198,106,155,
93,182,115,169,97,186,104,173,81,180,118,157,90,194,122,161)
(80,193,107,165,94,197,111,154,98,181,105,168,82,190,119,172,86,179,
123,156)(251,253,258,260,270,267,262,264,274,271)(252,263,259,275,266)
(254,273,256,255,268,257,265,269,272,261)(276,328,308,360,295,342,312,364,
299,346,301,353,283,335,320,367,287,339,324,371)(277,338,309,375,291,327,
313,359,300,341,302,363,284,350,316,352,288,334,325,366)(278,333,310,370,
292,337,314,374,296,326,303,358,285,345,317,362,289,349,321,351)
(279,348,306,355,293,332,315,369,297,336,304,373,281,330,318,357,290,344,
322,361)(280,343,307,365,294,347,311,354,298,331,305,368,282,340,319,372,
286,329,323,356)(376,503,383,510,395,517,387,514,399,521)(377,513,384,525,
391,502,388,509,400,516)(378,508,385,520,392,512,389,524,396,501)
(379,523,381,505,393,507,390,519,397,511)(380,518,382,515,394,522,386,504,
398,506)(401,578,433,610,420,592,437,614,424,596,426,603,408,585,445,617,
412,589,449,621)(402,588,434,625,416,577,438,609,425,591,427,613,409,600,
441,602,413,584,450,616)(403,583,435,620,417,587,439,624,421,576,428,608,
410,595,442,612,414,599,446,601)(404,598,431,605,418,582,440,619,422,586,
429,623,406,580,443,607,415,594,447,611)(405,593,432,615,419,597,436,604,
423,581,430,618,407,590,444,622,411,579,448,606)(451,553,483,535,470,567,
487,539,474,571,476,528,458,560,495,542,462,564,499,546)(452,563,484,550,
466,552,488,534,475,566,477,538,459,575,491,527,463,559,500,541)
(453,558,485,545,467,562,489,549,471,551,478,533,460,570,492,537,464,574,
496,526)(454,573,481,530,468,557,490,544,472,561,479,548,456,555,493,532,
465,569,497,536)(455,568,482,540,469,572,486,529,473,556,480,543,457,565,
494,547,461,554,498,531)]],
[24,311040000,0,"4c",[[16,1],[96,1],[256,2]],1,
"L2,4 on projective points^4.20",["A",5,4],
[(1,250,79,485,52,370)(2,375,4,500,54,495,51,245,76,235,77,360)
(3,625,29,490,53,620,26,240,78,610,27,365)(5,125,104,480,55,120,
101,230,80,110,102,355)(6,247,329,385,72,369,376,200,94,481,177,345)
(7,372,254,400,74,494,426,195,91,231,202,335)(8,622,279,390,73,619,
401,190,93,606,152,340)(9,497,304,395,71,244,451,185,92,356,127,350)
(10,122,354,380,75,119,476,180,95,106,227,330)(11,248,579,410,62,368,
501,175,89,483,552,295)(12,373,504,425,64,493,551,170,86,233,577,285)
(13,623,529,415,63,618,526,165,88,608,527,290)(14,498,554,420,61,243,
576,160,87,358,502,300)(15,123,604,405,65,118,601,155,90,108,602,280)
(16,246,204,460,57,367,251,150,99,484,427,320)(17,371,129,475,59,492,
301,145,96,234,452,310)(18,621,154,465,58,617,276,140,98,609,402,315)
(19,496,179,470,56,242,326,135,97,359,377,325)(20,121,229,455,60,117,
351,130,100,109,477,305)(21,249,454,435,67,366,126,225,84,482,302,270)
(22,374,379,450,69,491,176,220,81,232,327,260)(23,624,404,440,68,616,
151,215,83,607,277,265)(24,499,429,445,66,241,201,210,82,357,252,275)
(25,124,479,430,70,116,226,205,85,107,352,255)(28,615)(30,115,103,605)
(31,237,328,510,47,364,378,575,44,486,178,595)(32,362,253,525,49,489,
428,570,41,236,203,585)(33,612,278,515,48,614,403,565,43,611,153,590)
(34,487,303,520,46,239,453,560,42,361,128,600)(35,112,353,505,50,114,
478,555,45,111,228,580)(36,238,578,535,37,363,503,550,39,488,553,545)
(38,613,528,540)(40,113,603,530)(131,222,334,382,322,269,396,199,469,431,
192,341)(132,347,259,397,324,394,446,194,466,181,217,331)(133,597,284,387,
323,519,421,189,468,556,167,336)(134,472,309,392,321,144,471,184,467,306,
142,346)(136,223,584,407,312,268,521,174,464,433,567,291)(137,348,509,422,
314,393,571,169,461,183,592,281)(138,598,534,412,313,518,546,164,463,558,
542,286)(139,473,559,417,311,143,596,159,462,308,517,296)(141,221,209,457,
307,267,271,149,474,434,442,316)(146,224,459,432,317,266)(147,349,384,447,
319,391,196,219,456,182,342,256)(148,599,409,437,318,516,171,214,458,557,
292,261)(156,212,333,507,297,264,398,574,419,436,193,591)(157,337,258,522,
299,389,448,569,416,186,218,581)(158,587,283,512,298,514,423,564,418,561,
168,586)(161,213,583,532,287,263,523,549,414,438,568,541)(162,338,508,547,
289,388,573,544,411,188,593,531)(163,588,533,537,288,513,548,539,413,563,
543,536)(166,211,208,582,282,262,273,524,424,439,443,566)(172,339,383,572,
294,386,198,594,406,187,343,506)(173,589,408,562,293,511)(191,216,206,207,
332,257,272,274,399,449,444,441)(197,344,381),
(1,466,405,542,252,316,428,168,227,369,54,93,205,620,504,16,451,420,527,
267,301,443,153,242,354,69,78,220,605,519)(2,341,430,543,127,366,429,
43,202,370,554,18,201,495,529,17,326,445,528,142,351,444,28,217,355,
569,3,216,480,544)(4,91,455,545,502,266,426,418,152,367,304,68,203,
245,604,19,76,470,530,517,251,441,403,167,352,319,53,218,230,619)
(5,591,380,541,377,291,427,293,177,368,179,118,204,120,579,20,576,395,
526,392,276,442,278,192,353,194,103,219,105,594)(6,471,410,547,257,321,
433,173,232,374,59,98,210,625,509,21,456,425,532,272,306,448,158,247,
359,74,83,225,610,524)(7,346,435,548,132,371,434,48,207,375,559,23,
206,500,534,22,331,450,533,147,356,449,33,222,360,574,8,221,485,549)
(9,96,460,550,507,271,431,423,157,372,309,73,208,250,609,24,81,475,
535,522,256,446,408,172,357,324,58,223,235,624)(10,596,385,546,382,296,
432,298,182,373,184,123,209,125,584,25,581,400,531,397,281,447,283,197,
358,199,108,224,110,599)(11,461,415,537,262,311,438,163,237,364,64,88,
215,615,514)(12,336,440,538,137,361,439,38,212,365,564,13,211,490,539)
(14,86,465,540,512,261,436,413,162,362,314,63,213,240,614)
(15,586,390,536,387,286,437,288,187,363,189,113,214,115,589)
(26,467,280,567,253,191,478,169,102,344,55,593,130,616,379,41,452,295,
552,268,176,493,154,117,329,70,578,145,601,394)(27,342,305,568,128,241,
479,44,77,345,555,518,126,491,404,42,327,320,553,143,226,494,29,92,
330,570,503,141,476,419)(30,592,255,566,378,166,477,294,52,343,180,618,
129,116,454,45,577,270,551,393,151,492,279,67,328,195,603,144,101,469)
(31,472,285,572,258,196,483,174,107,349,60,598,135,621,384,46,457,300,
557,273,181,498,159,122,334,75,583,150,606,399)(32,347,310,573,133,246,
484,49,82,350,560,523,131,496,409,47,332,325,558,148,231,499,34,97,
335,575,508,146,481,424)(35,597,260,571,383,171,482,299,57,348,185,623,
134,121,459,50,582,275,556,398,156,497,284,72,333,200,608,149,106,474)
(36,462,290,562,263,186,488,164,112,339,65,588,140,611,389)
(37,337,315,563,138,236,489,39,87,340,565,513,136,486,414)
(40,587,265,561,388,161,487,289,62,338,190,613,139,111,464)
(51,468,155,617,254,66,453,170,602,269)(56,473,160,622,259,71,458,175,
607,274)(61,463,165,612,264)(79,95,580,520,501,391,401,417,277,317,303,
193,228,244,104,94,80,595,505,516,376,416,402,292,302,318,178,243,229,119
)(84,100,585,525,506,396,406,422,282,322,308,198,233,249,109,99,85,600,
510,521,381,421,407,297,307,323,183,248,234,124)(89,90,590,515,511,386,
411,412,287,312,313,188,238,239,114)]],
[25,311040000,0,"4c",[[16,1],[96,1],[256,2]],1,
"L2,4 on projective points^4.21",["A",5,4],
[(1,229,377,178,577,55,529,255,151,352,426,603,455,28,329)(2,179,502,180,
527,305,526,355,401,353,451,103,454,3,204)(4,129,127,177,552,555,530,
280,276,351,476,478,453,78,79)(5,154,252,176,602,430,528,330,26,354,
376,228,452,53,579)(6,234,382,183,582,60,534,260,156,357,431,608,460,
33,334)(7,184,507,185,532,310,531,360,406,358,456,108,459,8,209)
(9,134,132,182,557,560,535,285,281,356,481,483,458,83,84)
(10,159,257,181,607,435,533,335,31,359,381,233,457,58,584)
(11,244,397,188,592,75,539,270,171,362,441,623,465,43,349)
(12,194,522,190,542,325,536,370,421,363,466,123,464,18,224)
(13,219,22,189,517,200,537,320,546,365,416,373,461,118,474)
(14,144,147,187,567,575,540,295,296,361,491,498,463,93,99)
(15,169,272,186,617,450,538,345,46,364,391,248,462,68,599)
(16,249,387,193,597,65,544,275,161,367,446,613,470,48,339)
(17,199,512,195,547,315,541,375,411,368,471,113,469,23,214)
(19,149,137,192,572,565,545,300,286,366,496,488,468,98,89)
(20,174,262,191,622,440,543,350,36,369,396,238,467,73,589)
(21,239,392,198,587,70,549,265,166,372,436,618,475,38,344)
(24,139,142,197,562,570,550,290,291,371,486,493,473,88,94)
(25,164,267,196,612,445,548,340,41,374,386,243,472,63,594)
(27,304,501,230,402,303,576,105,404,253,201,102,429,503,205)
(29,254,126,227,427,553,580,30,279,251,226,477,428,578,80)
(32,309,506,235,407,308,581,110,409,258,206,107,434,508,210)
(34,259,131,232,432,558,585,35,284,256,231,482,433,583,85)
(37,319,521,240,417,323,586,120,424,263,216,122,439,518,225)
(39,269,146,237,442,573,590,45,299,261,241,497,438,593,100)
(40,294,271,236,492,448,588,95,49,264,141,247,437,568,600)
(42,324,511,245,422,313,591,125,414,268,221,112,444,523,215)
(44,274,136,242,447,563,595,50,289,266,246,487,443,598,90)
(47,314,516,250,412,318,596,115,419,273,211,117,449,513,220)
(51,604,380,153,327)(52,554,505,155,277,301,601,480,403,328,76,104,379,
128,202)(54,504,130,152,302,551,605,405,278,326,101,479,378,203,77)
(56,609,385,158,332)(57,559,510,160,282,306,606,485,408,333,81,109,384,
133,207)(59,509,135,157,307,556,610,410,283,331,106,484,383,208,82)
(61,619,400,163,342,71,614,395,173,337,66,624,390,168,347)
(62,569,525,165,292,321,611,495,423,338,91,124,389,143,222)
(64,519,150,162,317,571,615,420,298,336,116,499,388,218,97)
(67,574,515,170,297,311,616,500,413,343,96,114,394,148,212)
(69,524,140,167,322,561,620,425,288,341,121,489,393,223,87)
(72,564,520,175,287,316,621,490,418,348,86,119,399,138,217)
(74,514,145,172,312,566,625,415,293,346,111,494,398,213,92),
(1,332,50,609,413,144,427,91,310,546,364,398,242,53,206,280,599,490,518,
187)(2,82,35,534,414,394,442,66,306,296,374,498,243,178,201,330,600,
615,513,137)(3,207,30,584,415,519,437,16,307,46,359,423,244,428,216,
305,596,365,523,237)(4,457,45,559,411,269,447,116,308,171,354,473,245,
553,211,255,597,115,508,162)(5,582,40,509,412,19,432,41,309,421,369,
448,241,303,221,355,598,240,503,212)(6,282,49,484,418,194,426,341,325,
621,363,148,227,78,210,530,589,390,517,62)(7,32,34,409,419,444,441,
316,321,371,373,248,228,203,205,580,590,515,512,12)(8,157,29,459,420,
569,436,266,322,121,358,173,229,453,220,555,586,265,522,112)
(9,407,44,434,416,319,446,366,323,246,353,223,230,578,215,505,587,15,
507,37)(10,532,39,384,417,69,431,291,324,496,368,198,226,328,225,605,
588,140,502,87)(11,257,47,109,408,169,429,466,320,571,361,273,247,103,
208,155,579,465,520,562)(13,132,27,84,410,544,439,391,317,71,356,298,
249,478,218,180,576,340,525,612)(14,382,42,59,406,294,449,491,318,196,
351,348,250,603,213,130,577,90,510,537)(17,57,31,284,424,494,443,191,
301,346,375,623,238,128,202,80,585,540,514,387)(18,182,26,334,425,619,
438,141,302,96,360,548,239,378,217,55,581,290,524,487)(20,557,36,259,
422,119,433,166,304,471,370,573,236,253,222,105,583,165,504,462)
(21,357,48,234,403,219,430,591,315,521,362,23,232,28,209,405,594,440,
516,312)(22,107,33,159,404,469,445,566,311,271,372,123,233,153,204,455,
595,565,511,262)(24,482,43,184,401,344,450,616,313,146,352,98,235,528,
214,380,592,65,506,287)(25,607,38,134,402,94,435,541,314,396,367,73,
231,278,224,480,593,190,501,337)(51,331,300,624,488,143,177,76,335,550,
614,388,142,52,81,285,549,489,393,192)(54,456,295,574,486,268,197,101,
333,175,604,463,145,552,86,260,547,114,383,167)(56,281,299,499,493,193,
176,326,350,625,613,138,127,77,85,535,539,389,392,67)(58,156,279,474,
495,568,186,251,347,125,608,163,129,452,95,560,536,264,397,117)
(60,531,289,399,492,68,181,276,349,500,618,188,126,327,100,610,538,139,
377,92)(61,256,297,124,483,168,179,451,345,575,611,263,147,102,83,160,
529,464,395,567)(63,131,277,99,485,543,189,376,342,75,606,288,149,477,
93,185,526,339,400,617)(64,381,292,74,481,293,199,476,343,200,601,338,
150,602,88,135,527,89,385,542)(70,556,286,274,497,118,183,151,329,475,
620,563,136,252,97,110,533,164,379,467)(72,106,283,174,479,468,195,551,
336,275,622,113,133,152,79,460,545,564,386,267)(104,458,170,554,461,270,
572,111,258,172)(108,158,154,454,470,570,561,261,272,122)(120,558,161,254,
472)]],[26,311040000,0,"4c",[[16,1],[96,1],[256,2]],
1,"L2,4 on projective points^4.22",["A",5,4],
[(1,216,68,46,366,19,81,441,45,101,141,93,71,291,119,6,466,70,26,
241,18,96,316,44,106,391,95,51,166,118,21,341,69,31,491,20,76,
191,43,121,266,94,56,416,120)(2,211,568,47,361,519,82,436,545,102,
136,593,72,286,619,7,461,570,27,236,518,97,311,544,107,386,595,52,
161,618,22,336,569,32,486,520,77,186,543,122,261,594,57,411,620)
(3,221,318,49,356,394,85,426,170,103,146,343,74,281,494,10,451,195,
28,246,268,99,306,419,110,376,220,53,171,368,24,331,444,35,476,145,
78,196,293,124,256,469,60,401,245)(4,206,443,50,351,144,83,446,295,
104,131,468,75,276,244,8,471,320,29,231,393,100,301,169,108,396,345,
54,156,493,25,326,194,33,496,270,79,181,418,125,251,219,58,421,370)
(5,201,193,48,371,269,84,431,420,105,126,218,73,296,369,9,456,445,
30,226,143,98,321,294,109,381,470,55,151,243,23,346,319,34,481,395,
80,176,168,123,271,344,59,406,495)(11,591,67,36,616,17,86,566,42,
111,516,92,61,541,117)(12,586,567,37,611,517,87,561,542,112,511,592,
62,536,617)(13,596,317,39,606,392,90,551,167,113,521,342,64,531,492,
15,576,192,38,621,267,89,556,417,115,501,217,63,546,367,14,581,442,
40,601,142,88,571,292,114,506,467,65,526,242)(16,91,66,41,116)
(127,213,573,297,364,509,457,440,530,227,138,598,322,289,609,382,465,555,
152,238,523,347,314,534,482,390,580,177,163,623,272,339,559,407,490,505,
202,188,548,372,264,584,432,415,605)(128,223,323,299,359,384,460,430,155,
228,148,348,324,284,484,385,455,180,153,248,273,349,309,409,485,380,205,
178,173,373,274,334,434,410,480,130,203,198,298,374,259,459,435,405,230)
(129,208,448,300,354,134,458,450,280,229,133,473,325,279,234,383,475,305,
154,233,398,350,304,159,483,400,330,179,158,498,275,329,184,408,500,255,
204,183,423,375,254,209,433,425,355)(132,463,575,277,239,508,472,315,529,
232,388,600,302,164,608,397,340,554,157,488,525,327,189,533,497,265,579,
182,413,625,252,214,558,422,365,504,207,438,550,352,139,583,447,290,604)
(135,453,200,278,249,258,474,310,404,235,378,225,303,174,358,399,335,429,
160,478,150,328,199,283,499,260,454,185,403,250,253,224,308,424,360,379,
210,428,175,353,149,333,449,285,479)(137,588,572,287,614,507,462,565,527,
237,513,597,312,539,607,387,590,552,162,613,522,337,564,532,487,515,577,
187,538,622,262,589,557,412,615,502,212,563,547,362,514,582,437,540,602)
(140,578,197,288,624,257,464,560,402,240,503,222,313,549,357,389,585,427,
165,603,147,338,574,282,489,510,452,190,528,247,263,599,307,414,610,377,
215,553,172,363,524,332,439,535,477)(512,587,562,537,612),
(1,397,98,493,101,377,97,468,116,376,22,473,118,476,2,472,93,491)
(3,497,78,492,76,392,96,393,121,378,122,453,117,451,17,471,18,496)
(4,422,83,494,26,382,99,418,106,379,47,458,119,401,7,474,43,481)
(5,447,88,495,51,387,100,443,111,380,72,463,120,426,12,475,68,486)
(6,399,48,483,104,402,82,469,41,381,24,423,108,479,27,457,94,416)
(8,499,28,482,79,417,81,394,46,383,124,403,107,454,42,456,19,421)
(9,424,33,484,29,407,84,419,31,384,49,408,109,404,32,459,44,406)
(10,449,38,485,54,412,85,444,36,385,74,413,110,429,37,460,69,411)
(11,400,73,488,105,427,87,470,66,386,25,448,113,480,52,462,95,441)
(13,500,53,487,80,442,86,395,71,388,125,428,112,455,67,461,20,446)
(14,425,58,489,30,432,89,420,56,389,50,433,114,405,57,464,45,431)
(15,450,63,490,55,437,90,445,61,390,75,438,115,430,62,465,70,436)
(16,396,23,498,103,477,77,467,91,391,21,398,123,478,102,452,92,466)
(34,409)(35,434,39,410,59,414)(40,435,64,415,60,439)(65,440)
(126,147,223,243,226,127,222,218,241)(128,247,203,242,201,142,221,143,246)
(129,172,208,244,151,132,224,168,231)(130,197,213,245,176,137,225,193,236)
(131,149,173,233,229,152,207,219,166)(133,249,153,232,204,167,206,144,171)
(134,174,158,234,154,157,209,169,156)(135,199,163,235,179,162,210,194,161)
(136,150,198,238,230,177,212,220,191)(138,250,178,237,205,192,211,145,196)
(139,175,183,239,155,182,214,170,181)(140,200,188,240,180,187,215,195,186)
(141,146,148,248,228,227,202,217,216)(160,184,164)(165,185,189)
(251,522,348,618,351,502,347,593,366,501,272,598,368,601,252,597,343,616)
(253,622,328,617,326,517,346,518,371,503,372,578,367,576,267,596,268,621)
(254,547,333,619,276,507,349,543,356,504,297,583,369,526,257,599,293,606)
(255,572,338,620,301,512,350,568,361,505,322,588,370,551,262,600,318,611)
(256,524,298,608,354,527,332,594,291,506,274,548,358,604,277,582,344,541)
(258,624,278,607,329,542,331,519,296,508,374,528,357,579,292,581,269,546)
(259,549,283,609,279,532,334,544,281,509,299,533,359,529,282,584,294,531)
(260,574,288,610,304,537,335,569,286,510,324,538,360,554,287,585,319,536)
(261,525,323,613,355,552,337,595,316,511,275,573,363,605,302,587,345,566)
(263,625,303,612,330,567,336,520,321,513,375,553,362,580,317,586,270,571)
(264,550,308,614,280,557,339,545,306,514,300,558,364,530,307,589,295,556)
(265,575,313,615,305,562,340,570,311,515,325,563,365,555,312,590,320,561)
(266,521,273,623,353,602,327,592,341,516,271,523,373,603,352,577,342,591)
(284,534)(285,559,289,535,309,539)(290,560,314,540,310,564)(315,565)]],
[27,311040000,0,"4c",[[16,1],[96,1],[256,2]],1,
"L2,4 on projective points^4.23",["A",5,4],
[(1,220,481,589,282,24,168,446,578,310,104,165,497,513,317)(2,145,491,586,
332,9,169,421,598,308,54,155,500,613,312)(3,195,476,590,357,14,167,
396,593,306,79,160,499,538,322)(4,170,496,588,307)(5,245,486,587,257,
19,166,471,583,309,29,175,498,563,302)(6,219,406,599,283,74,153,450,
603,315,102,140,492,511,342)(7,144,416,596,333,59,154,425,623,313,52,
130,495,611,337)(8,194,401,600,358,64,152,400,618,311,77,135,494,536,
347)(10,244,411,597,258,69,151,475,608,314,27,150,493,561,327)
(11,217,381,594,281,99,158,449,528,325,103,190,477,515,367)
(12,142,391,591,331,84,159,424,548,323,53,180,480,615,362)
(13,192,376,595,356,89,157,399,543,321,78,185,479,540,372)
(15,242,386,592,256,94,156,474,533,324,28,200,478,565,352)
(16,216,456,584,284,49,173,448,553,305,105,240,487,512,267)
(17,141,466,581,334,34,174,423,573,303,55,230,490,612,262)
(18,191,451,585,359,39,172,398,568,301,80,235,489,537,272)
(20,241,461,582,259,44,171,473,558,304,30,250,488,562,252)
(21,218,431,579,285,124,163,447,503,320,101,215,482,514,292)
(22,143,441,576,335,109,164,422,523,318,51,205,485,614,287)
(23,193,426,580,360,114,162,397,518,316,76,210,484,539,297)
(25,243,436,577,260,119,161,472,508,319,26,225,483,564,277)
(31,224,408,574,278,75,228,440,602,265,117,136,467,506,344)
(32,149,418,571,328,60,229,415,622,263,67,126,470,606,339)
(33,199,403,575,353,65,227,390,617,261,92,131,469,531,349)
(35,249,413,572,253,70,226,465,607,264,42,146,468,556,329)
(36,222,383,569,276,100,233,439,527,275,118,186,452,510,369)
(37,147,393,566,326,85,234,414,547,273,68,176,455,610,364)
(38,197,378,570,351,90,232,389,542,271,93,181,454,535,374)
(40,247,388,567,251,95,231,464,532,274,43,196,453,560,354)
(41,221,458,559,279,50,248,438,552,255,120,236,462,507,269)
(45,246,463,557,254)(46,223,433,554,280,125,238,437,502,270,116,211,457,
509,294)(47,148,443,551,330,110,239,412,522,268,66,201,460,609,289)
(48,198,428,555,355,115,237,387,517,266,91,206,459,534,299)
(56,204,410,624,288,72,128,445,601,340,107,139,417,521,343)
(57,129,420,621,338)(58,179,405,625,363,62,127,395,616,336,82,134,419,
546,348)(61,202,385,619,286,97,133,444,526,350,108,189,402,525,368)
(63,177,380,620,361,87,132,394,541,346,83,184,404,550,373)
(71,203,435,604,290,122,138,442,501,345,106,214,407,524,293)
(73,178,430,605,365,112,137,392,516,341,81,209,409,549,298)
(86,207,384,544,296,98,183,429,530,375,113,187,377,520,366)
(88,182,379,545,371)(96,208,434,529,300,123,188,427,505,370,111,212,382,
519,291)(121,213,432,504,295),
(1,604,523,380,551,519,253,530,506,129,578,515)(2,602,522,377,552,517,252,
527,507,127,577,512)(3,605,521,379,553,520,251,529,508,130,576,514)
(4,603,525,376,554,518,255,526,509,128,580,511)(5,601,524,378,555,516,
254,528,510,126,579,513)(6,229,598,390,51,619,273,405,556,144,328,540)
(7,227,597,387,52,617,272,402,557,142,327,537)(8,230,596,389,53,620,
271,404,558,145,326,539)(9,228,600,386,54,618,275,401,559,143,330,536)
(10,226,599,388,55,616,274,403,560,141,329,538)(11,104,623,400,426,569,
268,280,531,134,203,590)(12,102,622,397,427,567,267,277,532,132,202,587)
(13,105,621,399,428,570,266,279,533,135,201,589)(14,103,625,396,429,568,
270,276,534,133,205,586)(15,101,624,398,430,566,269,278,535,131,204,588)
(16,354,548,385,176,594,263,30,606,149,453,565)(17,352,547,382,177,592,
262,27,607,147,452,562)(18,355,546,384,178,595,261,29,608,150,451,564)
(19,353,550,381,179,593,265,26,609,148,455,561)(20,351,549,383,180,591,
264,28,610,146,454,563)(21,479,573,395,301,544,258,155,581,139,78,615)
(22,477,572,392,302,542,257,152,582,137,77,612)(23,480,571,394,303,545,
256,154,583,140,76,614)(24,478,575,391,304,543,260,151,584,138,80,611)
(25,476,574,393,305,541,259,153,585,136,79,613)(31,234,223,465,61,119,
373,425,431,194,343,290)(32,232,222,462,62,117,372,422,432,192,342,287)
(33,235,221,464,63,120,371,424,433,195,341,289)(34,233,225,461,64,118,
375,421,434,193,345,286)(35,231,224,463,65,116,374,423,435,191,344,288)
(36,109,248,475,436,69,368,300,406,184,218,340)(37,107,247,472,437,67,
367,297,407,182,217,337)(38,110,246,474,438,70,366,299,408,185,216,339)
(39,108,250,471,439,68,370,296,409,183,220,336)(40,106,249,473,440,66,
369,298,410,181,219,338)(41,359,173,460,186,94,363,50,481,199,468,315)
(42,357,172,457,187,92,362,47,482,197,467,312)(43,360,171,459,188,95,
361,49,483,200,466,314)(44,358,175,456,189,93,365,46,484,198,470,311)
(45,356,174,458,190,91,364,48,485,196,469,313)(56,244,348,415)
(57,242,347,412)(58,245,346,414)(59,243,350,411)(60,241,349,413)
(71,494,323,420,306,169,333,165,81,239,98,490)(72,492,322,417,307,167,
332,162,82,237,97,487)(73,495,321,419,308,170,331,164,83,240,96,489)
(74,493,325,416,309,168,335,161,84,238,100,486)(75,491,324,418,310,166,
334,163,85,236,99,488)(86,114,123,500,446,444,318,295,281,159,208,215)
(87,112,122,497,447,442,317,292,282,157,207,212)(88,115,121,499,448,445,
316,294,283,160,206,214)(89,113,125,496,449,443,320,291,284,158,210,211)
(90,111,124,498,450,441,319,293,285,156,209,213)(501,504,503,505)]],
[28,414720000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.24",["A",5,4],
[(1,63,364,625,380,443,294,547,127,183,334,596)(2,188,359,600,376,68,289,
622,130,433,344,546)(3,313,374,525,378,318,299,522,128,308,349,521)
(4,563,354,575,379,568,279,572,129,558,329,571)(5,438,369,550,377,193,
284,597,126,58,339,621)(6,88,361,125,390,493,295,422,142,158,332,221)
(7,213,356,100,386,118,290,497,145,408,342,171)(8,338,371,25,388,368,
300,397,143,283,347,146)(9,588,351,75,389,618,280,447,144,533,327,196)
(10,463,366,50,387,243,285,472,141,33,337,246)(11,113,365,500,395,418,
292,172,132,208,331,96)(12,238,360,475,391,43,287,247,135,458,341,46)
(13,363,375,400,393,293,297,147,133,333,346,21)(14,613,355,450,394,543,
277,197,134,583,326,71)(15,488,370,425,392,168,282,222,131,83,336,121)
(16,38,362,250,385,468,291,47,137,233,335,471)(17,163,357,225,381,93,
286,122,140,483,345,421)(18,288,372,150,383,343,296,22,138,358,350,396)
(19,538,352,200,384,593,276,72,139,608,330,446)(20,413,367,175,382,218,
281,97,136,108,340,496)(23,263,373,275,398,268,298,272,148,258,348,271)
(24,513,353,325,399,518,278,322,149,508,328,321)(26,62,239,610,455,441,
44,537,227,185,459,591)(27,187,234,585,451,66,39,612,230,435,469,541)
(28,312,249,510,453,316,49,512,228,310,474,516)(29,562,229,560,454,566)
(30,437,244,535,452,191,34,587,226,60,464,616)(31,87,236,110,465,491,
45,412,242,160,457,216)(32,212,231,85,461,116,40,487,245,410,467,166)
(35,462,241)(36,112,240,485,470,416,42,162,232,210,456,91)
(37,237,235,460,466,41)(48,262,248,260,473,266)(51,64,614,605,430,444,
544,527,177,184,584,576)(52,189,609,580,426,69,539,602,180,434,594,526)
(53,314,624,505,428,319,549,502,178,309,599,501)(54,564,604,555,429,569,
529,552,179,559,579,551)(55,439,619,530,427,194,534,577,176,59,589,601)
(56,89,611,105,440,494,545,402,192,159,582,201)(57,214,606,80,436,119,
540,477,195,409,592,151)(61,114,615,480,445,419,542,152,182,209,581,76)
(65,489,620,405,442,169,532,202,181,84,586,101)(67,164,607,205,431,94,
536,102,190,484,595,401)(70,414,617,155,432,219,531,77,186,109,590,476)
(73,264,623,255,448,269,548,252,198,259,598,251)(74,514,603,305,449,519,
528,302,199,509,578,301)(78,311,124,515,478,320,424,517,153,307,224,506)
(79,561,104,565,479,570,404,567,154,557,204,556)(81,86,111,115,490,495,
420,417,167,157,207,206)(82,211,106,90,486,120,415,492,170,407,217,156)
(92,161,107,215,481,95,411,117,165,482,220,406)(98,261,123,265,498,270,
423,267,173,257,223,256)(99,511,103,315,499,520,403,317,174,507,203,306)
(253,323,274,523)(254,573)(303,324,524,503)(304,574,504,553),
(1,436,404,52,189,44,87,163,292,222,243,345,598,358,275,621,485,505,556,
384)(2,186,419,77,188,294,97,238,295,597,233,270,596,483,255,571,484,
5,561,409)(3,311,424,102,190,544,82,138,291,472,228,320,599,108,265,
546,482,130,566,459)(4,61,414,27,187,169,92,213,293,347,248,370,600,
608,260,521,481,380,551,434)(6,386,401,427,179,69,89,38,287,172,242,
220,593,333,273,371,500,605,560,509)(7,136,416,452,178,319,99,113,290,
547,232,145,591,458,253,321,499,105,565,534)(8,261,421,477,180,569,84,
13,286,422,227,195,594,83,263,296,497,230,570,584)(9,11,411,402,177,
194,94,88,288,297,247,245,595,583,258,271,496,480,555,559)
(10,511,406,377,176,444,79,63,289,47,237,170,592,208,268,346,498,355,
575,609)(12,161,417,202,193,344,98,363,300,622,235,520,581,383,251,446,
479,55,564,34)(14,36,412,152,192,219,93,338,298,372,250,620,585,508,
256,396,476,430,554,59)(15,536,407,127,191,469,78,313,299,122,240,545,
582,133,266,471,478,305,574,109)(16,461,403,302,199,119,90,538,282,147,
241,470,578,308,274,121,490,530,557,134)(17,211,418,327,198,369,100,613,
285,522,231,395,576,433,254,71,489,30,562,159)(18,336,423,352,200,619,
85,513,281,397,226,445,579,58,264,46,487,155,567,209)(19,86,413,277,
197,244,95,588,283,272,246,495,580,558,259,21,486,405,552,184)
(20,586,408,252,196,494,80,563,284,22,236,420,577,183,269,96,488,280,
572,234)(23,361,425,602,185,519,81,388,276,447,229,70,589,33,262,171,
492,205,568,334)(24,111,415,527,182,144,91,463,278,322,249,120,590,533,
257,146,491,455,553,309)(25,611,410,502,181,394,76,438,279,72,239,45,
587,158,267,221,493,330,573,359)(26,437,154,67,214,43,337,173,367,225,
618,335,523,356,400,601,435,504,56,389)(28,312,174,117,215,543,332,148,
366,475,603,310,524,106,390,526,432,129,66,464)(29,62,164,42,212,168,
342,223,368,350,623,360,525,606,385,501,431,379,51,439)(31,387,151,442,
204,68,339,48,362,175,617,210,518,331,398,351,450,604,60,514)
(32,137,166,467,203,318,349,123,365,550,607,135,516,456,378,301,449,104,
65,539)(35,512,156,392,201,443,329,73,364,50,612,160,517,206,393,326,
448,354,75,614)(37,162,167,217,218,343,348,373,375,625,610,510,506,381,
376,426,429,54,64,39)(40,537,157,142,216,468,328,323,374,125,615,535,
507,131,391,451,428,304,74,114)(41,462,153,317,224,118,340,548,357,150,
616,460,503,306,399,101,440,529,57,139)(49,112,165,542,207,143,341,473,
353,325,624,110,515,531,382,126,441,454,53,314)(103,315,549,107,140,541,
457,128,316,474)(115,540,532,132,141,466,453,303,324,124)(116,465,528,307,
149)]],
[29,414720000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.25",["A",5,4],
[(1,13,613,620,445,426)(2,138,612,245,442,176)(3,513,615,495,441,51)
(4,263,614,370,444,301)(5,388,611,120,443,551)(6,38,608,545,435,401)
(7,163,607,170,432,151)(8,538,610,420,431,26)(9,288,609,295,434,276)
(10,413,606,45,433,526)(11,113,618,570,430,376)(12,238,617,195,427,126)
(14,363,619,320,429,251)(15,488,616,70,428,501)(16,63,603,520,440,476)
(17,188,602,145,437,226)(18,563,605,395,436,101)(19,313,604,270,439,351)
(20,438,601)(21,88,623,595,450,451)(22,213,622,220,447,201)
(23,588,625,470,446,76)(24,338,624,345,449,326)(25,463,621,95,448,576)
(27,133,537,235,417,181)(28,508,540,485,416,56)(29,258,539,360,419,306)
(30,383,536,110,418,556)(31,33,533,535,410,406)(32,158,532,160,407,156)
(34,283,534,285,409,281)(35,408,531)(36,108,543,560,405,381)
(37,233,542,185,402,131)(39,358,544,310,404,256)(40,483,541,60,403,506)
(41,58,528,510,415,481)(42,183,527,135,412,231)(43,558,530,385,411,106)
(44,308,529,260,414,356)(46,83,548,585,425,456)(47,208,547,210,422,206)
(48,583,550,460,421,81)(49,333,549,335,424,331)(50,458,546,85,423,581)
(52,128,512,240,492,191)(53,503,515,490,491,66)(54,253,514,365,494,316)
(55,378,511,115,493,566)(57,153,507,165,482,166)(59,278,509,290,484,291)
(61,103,518,565,480,391)(62,228,517,190,477,141)(64,353,519,315,479,266)
(65,478,516)(67,178,502,140,487,241)(68,553,505,390,486,116)
(69,303,504,265,489,366)(71,78,523,590,500,466)(72,203,522,215,497,216)
(73,578,525,465,496,91)(74,328,524,340,499,341)(75,453,521,90,498,591)
(77,148,587,250,467,196)(79,273,589,375,469,321)(80,398,586,125,468,571)
(82,173,582,175,457,171)(84,298,584,300,459,296)(86,123,593,575,455,396)
(87,248,592,200,452,146)(89,373,594,325,454,271)(92,198,577,150,462,246)
(93,573,580,400,461,121)(94,323,579,275,464,371)(96,98,598,600,475,471)
(97,223,597,225,472,221)(99,348,599,350,474,346)(100,473,596)
(102,143,562,230,392,186)(104,268,564,355,394,311)(105,393,561)
(107,168,557,155,382,161)(109,293,559,280,384,286)(111,118,568,555,380,386)
(112,243,567,180,377,136)(114,368,569,305,379,261)(117,193,552,130,387,236)
(119,318,554,255,389,361)(122,218,572,205,397,211)(124,343,574,330,399,336)
(127,137,237,242,192,177)(129,262,239,367,194,302)(132,162,232,167,182,152)
(134,287,234,292,184,277)(139,362,244,317,179,252)(142,187,227)
(144,312,229,267,189,352)(147,212,247,217,197,202)(149,337,249,342,199,327)
(154,257,164,357,169,307)(159,282)(172,207)(174,332)(204,272,214,372,219,322
)(209,297)(224,347)(254,264,364,369,319,304)(259,289,359,294,309,279)
(269,314,354)(274,339,374,344,324,329)(299,334),
(1,92,31,102,16,82,26,117,6,77,41,107)(2,91,32,101,17,81,27,
116,7,76,42,106)(3,94,33,104,18,84,28,119,8,79,43,109)
(4,93,34,103,19,83,29,118,9,78,44,108)(5,95,35,105,20,85,
30,120,10,80,45,110)(11,87,36,112)(12,86,37,111)(13,89,38,114)
(14,88,39,113)(15,90,40,115)(21,97,46,122)(22,96,47,121)
(23,99,48,124)(24,98,49,123)(25,100,50,125)(51,67,56,52,66,57)
(53,69,58,54,68,59)(55,70,60)(61,62)(63,64)(71,72)(73,74)
(126,342,156,352,141,332,151,367,131,327,166,357)(127,341,157,351,142,331,
152,366,132,326,167,356)(128,344,158,354,143,334,153,369,133,329,168,359)
(129,343,159,353,144,333,154,368,134,328,169,358)(130,345,160,355,145,335,
155,370,135,330,170,360)(136,337,161,362)(137,336,162,361)(138,339,163,364)
(139,338,164,363)(140,340,165,365)(146,347,171,372)(147,346,172,371)
(148,349,173,374)(149,348,174,373)(150,350,175,375)(176,317,181,302,191,307)
(177,316,182,301,192,306)(178,319,183,304,193,309)(179,318,184,303,194,308)
(180,320,185,305,195,310)(186,312)(187,311)(188,314)(189,313)(190,315)
(196,322)(197,321)(198,324)(199,323)(200,325)(201,292,231,252,216,282,226,
267,206,277,241,257)(202,291,232,251,217,281,227,266,207,276,242,256)
(203,294,233,254,218,284,228,269,208,279,243,259)(204,293,234,253,219,283,
229,268,209,278,244,258)(205,295,235,255,220,285,230,270,210,280,245,260)
(211,287,236,262)(212,286,237,261)(213,289,238,264)(214,288,239,263)
(215,290,240,265)(221,297,246,272)(222,296,247,271)(223,299,248,274)
(224,298,249,273)(225,300,250,275)(376,467,406,477,391,457,401,492,381,452,
416,482)(377,466,407,476,392,456,402,491,382,451,417,481)(378,469,408,479,
393,459,403,494,383,454,418,484)(379,468,409,478,394,458,404,493,384,453,
419,483)(380,470,410,480,395,460,405,495,385,455,420,485)(386,462,411,487)
(387,461,412,486)(388,464,413,489)(389,463,414,488)(390,465,415,490)
(396,472,421,497)(397,471,422,496)(398,474,423,499)(399,473,424,498)
(400,475,425,500)(426,442,431,427,441,432)(428,444,433,429,443,434)
(430,445,435)(436,437)(438,439)(446,447)(448,449)(501,592,531,602,516,582,
526,617,506,577,541,607)(502,591,532,601,517,581,527,616,507,576,542,606)
(503,594,533,604,518,584,528,619,508,579,543,609)(504,593,534,603,519,583,
529,618,509,578,544,608)(505,595,535,605,520,585,530,620,510,580,545,610)
(511,587,536,612)(512,586,537,611)(513,589,538,614)(514,588,539,613)
(515,590,540,615)(521,597,546,622)(522,596,547,621)(523,599,548,624)
(524,598,549,623)(525,600,550,625)(551,567,556,552,566,557)(553,569,558,554,
568,559)(555,570,560)(561,562)(563,564)(571,572)(573,574),
(1,286,196,616,451,11,296,191,601,461,21,291,176,611,471,16,276,186,621,
466)(2,290,198,617,455,13,297,195,603,462,25,293,177,615,473,17,280,
188,622,470,3,287,200,618,452,15,298,192,605,463,22,295,178,612,475,
18,277,190,623,467,5,288,197,620,453,12,300,193,602,465,23,292,180,
613,472,20,278,187,625,468)(4,289,199,619,454,14,299,194,604,464,24,
294,179,614,474,19,279,189,624,469)(6,281,181,606,456)(7,285,183,607,
460,8,282,185,608,457,10,283,182,610,458)(9,284,184,609,459)
(26,161,246,491,376,261,321,566,576,86,46,166,226,486,396,266,301,561,
596,91)(27,165,248,492,380,263,322,570,578,87,50,168,227,490,398,267,
305,563,597,95,28,162,250,493,377,265,323,567,580,88,47,170,228,487,
400,268,302,565,598,92,30,163,247,495,378,262,325,568,577,90,48,167,
230,488,397,270,303,562,600,93)(29,164,249,494,379,264,324,569,579,89,
49,169,229,489,399,269,304,564,599,94)(31,156,231,481,381,256,306,556,
581,81)(32,160,233,482,385,258,307,560,583,82,35,158,232,485,383,257,
310,558,582,85,33,157,235,483,382,260,308,557,585,83)(34,159,234,484,
384,259,309,559,584,84)(36,171,241,476,386,271,316,551,586,96,41,151,
236,496,391,251,311,571,591,76)(37,175,243,477,390,273,317,555,588,97,
45,153,237,500,393,252,315,573,592,80,38,172,245,478,387,275,318,552,
590,98,42,155,238,497,395,253,312,575,593,77,40,173,242,480,388,272,
320,553,587,100,43,152,240,498,392,255,313,572,595,78)(39,174,244,479,
389,274,319,554,589,99,44,154,239,499,394,254,314,574,594,79)
(51,536,221,116,401,136,371,441,501,336,71,541,201,111,421,141,351,436,
521,341)(52,540,223,117,405,138,372,445,503,337,75,543,202,115,423,142,
355,438,522,345,53,537,225,118,402,140,373,442,505,338,72,545,203,112,
425,143,352,440,523,342,55,538,222,120,403,137,375,443,502,340,73,542,
205,113,422,145,353,437,525,343)(54,539,224,119,404,139,374,444,504,339,
74,544,204,114,424,144,354,439,524,344)(56,531,206,106,406,131,356,431,
506,331)(57,535,208,107,410,133,357,435,508,332,60,533,207,110,408,132,
360,433,507,335,58,532,210,108,407,135,358,432,510,333)(59,534,209,109,
409,134,359,434,509,334)(61,546,216,101,411,146,366,426,511,346,66,526,
211,121,416,126,361,446,516,326)(62,550,218,102,415,148,367,430,513,347,
70,528,212,125,418,127,365,448,517,330,63,547,220,103,412,150,368,427,
515,348,67,530,213,122,420,128,362,450,518,327,65,548,217,105,413,147,
370,428,512,350,68,527,215,123,417,130,363,447,520,328)(64,549,219,104,
414,149,369,429,514,349,69,529,214,124,419,129,364,449,519,329)]],
[30,414720000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.26",["A",5,4],
[(1,135,409,487,52,200,549,611)(2,185,424,612,51,150,534,486)
(3,210,419,362,53,225,544,361)(4,235,404,237,54,250,529,236)
(5,160,414,112,55,175,539,111)(6,385,407,437,72,575,546,511)
(7,435,422,562,71,525,531,386)(8,460,417,312,73,600,541,261)
(9,485,402,187,74,625,526,136)(10,410,412,62,75,550,536,11)
(12,60,425,537,61,25,535,411)(13,85,420,287,63,100,545,286)
(14,110,405,162,64,125,530,161)(15,35,415,37,65,50,540,36)
(16,260,408,462,67,325,548,586)(17,310,423,587,66,275,533,461)
(18,335,418,337,68,350,543,336)(19,360,403,212,69,375,528,211)
(20,285,413,87,70,300,538,86)(21,510,406,387,57,450,547,561)
(22,560,421,512,56,400,532,436)(23,585,416,262,58,475,542,311)
(24,610,401,137,59,500,527,186)(26,140,34,490,27,190,49,615)
(28,215,44,365)(29,240)(30,165,39,115)(31,390,32,440,47,565,46,515)
(33,465,42,315,48,590,41,265)(38,90,45,290)(43,340)(76,145,284,488,
77,195,299,613)(78,220,294,363)(79,245,279,238)(80,170,289,113)
(81,395,282,438,97,570,296,513)(82,445,297,563,96,520,281,388)
(83,470,292,313,98,595,291,263)(84,495,277,188,99,620,276,138)
(88,95,295,288)(89,120,280,163)(91,270,283,463,92,320,298,588)
(93,345,293,338)(94,370,278,213)(101,130,159,489,102,180,174,614)
(103,205,169,364)(104,230,154,239)(105,155,164,114)(106,380,157,439,122,555,
171,514)(107,430,172,564,121,505,156,389)(108,455,167,314,123,580,166,264)
(109,480,152,189,124,605,151,139)(116,255,158,464,117,305,173,589)
(118,330,168,339)(119,355,153,214)(126,134,484,477,177,199,624,601)
(127,184,499,602,176,149,609,476)(128,209,494,352,178,224,619,351)
(129,234,479,227,179,249,604,226)(131,384,482,427,197,574,621,501)
(132,434,497,552,196,524,606,376)(133,459,492,302,198,599,616,251)
(141,259,483,452,192,324,623,576)(142,309,498,577,191,274,608,451)
(143,334,493,327,193,349,618,326)(144,359,478,202,194,374,603,201)
(146,509,481,377,182,449,622,551)(147,559,496,502,181,399,607,426)
(148,584,491,252,183,474,617,301)(203,219,369,353)(204,244,354,228)
(206,394,357,428,222,569,371,503)(207,444,372,553,221,519,356,378)
(208,469,367,303,223,594,366,253)(216,269,358,453,217,319,373,578)
(218,344,368,328)(231,379,232,429,247,554,246,504)(233,454,242,304,248,579,
241,254)(243,329)(256,383,457,442,322,573,596,516)(257,433,472,567,321,523,
581,391)(258,458,467,317,323,598,591,266)(267,308,473,592,316,273,583,466)
(268,333,468,342,318,348,593,341)(271,508,456,392,307,448,597,566)
(272,558,471,517,306,398,582,441)(331,393,332,443,347,568,346,518)
(381,382,432,447,572,571,521,506)(396,507,431,397,557,446,522,556),
(1,390,250,168,316,429,524,535,206,467,72,39,611,483,348,277)
(2,15,240,243,318,304,504,510,210,217,67,64,614,608,333,327)
(3,265,230,143,320,179,519,560,209,592,57,89,612,108,338,352)
(4,515,235,218,317,54,514,610,208,342,52,14,615,233,343,302)
(5,140,245,193,319,554,509,585,207,92,62,114,613,358,328,252)
(6,465,247,43,311,479,523,285,201,392,75,164,616,433,349,527)
(7,90,237,118,313,354,503,260,205,142,70,189,619,558,334,577)
(8,340,227,18,315,229,518,310,204,517,60,214,617,58,339,602)
(9,590,232,93,312,104,513,360,203,267,55,139,620,183,344,552)
(10,215,242,68,314,604,508,335,202,17,65,239,618,308,329,502)
(11,490,248,293,301,379,525,160,216,442,74,539,606,458,347,27)
(12,115,238,368,303,254,505,135,220,192,69,564,609,583,332,77)
(13,365,228,268,305,129,520,185,219,567,59,589,607,83,337,102)
(16,440,249,543,306,454,522,35,211,492,73,289,601,383,350,152)
(19,565,234,593,307,79,512,110,213,367,53,264,605,133,345,177)
(20,190,244,568,309,579,507,85,212,117,63,364,603,258,330,127)
(21,415,246,418,321,404,521,410,221,417,71,414,621,408,346,402)
(22,40,236,493,323,279,501,385,225,167,66,439,624,533,331,452)
(23,290,226,393,325,154,516,435,224,542,56,464,622,33,336,477)
(24,540,231,468,322,29,511,485,223,292,51,389,625,158,341,427)
(25,165,241,443,324,529,506,460,222,42,61,489,623,283,326,377)
(26,386,500,173,291,426,399,550,156,466,447,49,536,481,473,297)
(28,261,480,148,295,176,394,575,159,591,432,99,537,106,463,372)
(30,136,495,198,294,551,384,600,157,91,437,124,538,356,453,272)
(31,461,497,48,286,476,398,300,151,391,450,174,541,431,474,547)
(32,86,487,123,288,351,378,275,155,141,445,199,544,556,459,597)
(34,586,482,98,287,101,388,375,153,266,430,149,545,181,469,572)
(36,486,498,298,276,376,400,175,166,441,449,549,531,456,472,47)
(37,111,488,373,278,251,380,150,170,191,444,574,534,581,457,97)
(38,361,478,273,280,126,395,200,169,566,434,599,532,81,462,122)
(41,436,499,548,281,451,397,50,161,491,448,299,526,381,475,172)
(44,561,484,598,282,76,387,125,163,366,428,274,530,131,470,197)
(45,186,494,573,284,576,382,100,162,116,438,374,528,256,455,147)
(46,411,496,423,296,401,396,425,171,416,446,424,546,406,471,422)
(78,262,105,138,370,178,269,555,134,595,182,94,562,109,588,357)
(80,137,120,188,369,553,259,580,132,95,187,119,563,359,578,257)
(82,87,112,113,363,353,253,255,130,145,195,194,569,559,584,582)
(84,587,107,88,362,103,263,355,128,270,180,144,570,184,594,557)
(96,412,121,413,371,403,271,405,146,420,196,419,571,409,596,407)]],
[31,414720000,0,"4c",[[16,1],[32,3],[256,2]],1,
"L2,4 on projective points^4.27",["A",5,4],
[(1,5,505,502,377,376)(2,380,501)(3,130,504,252,378,126,4,255,503,127,
379,251)(6,30,510,527,382,401)(7,405,506,27,385,526)(8,155,509,277,
383,151,9,280,508,152,384,276)(10,530,507,402,381,26)(11,80,525,602,
387,451,21,105,515,577,397,476)(12,455,521,102,390,576,22,480,511,77,
400,601)(13,205,524,352,388,201,24,355,513,202,399,351)(14,330,523,227,
389,326,23,230,514,327,398,226)(15,580,522,477,386,76,25,605,512,452,
396,101)(16,55,520,552,392,426)(17,430,516,52,395,551)(18,180,519,302,
393,176,19,305,518,177,394,301)(20,555,517,427,391,51)(28,135,529,257,
403,131,29,260,528,132,404,256)(31,35,535,532,407,406)(32,410,531)
(33,160,534,282,408,156,34,285,533,157,409,281)(36,85,550,607,412,456,
46,110,540,582,422,481)(37,460,546,107,415,581,47,485,536,82,425,606)
(38,210,549,357,413,206,49,360,538,207,424,356)(39,335,548,232,414,331,
48,235,539,332,423,231)(40,585,547,482,411,81,50,610,537,457,421,106)
(41,60,545,557,417,431)(42,435,541,57,420,556)(43,185,544,307,418,181,
44,310,543,182,419,306)(45,560,542,432,416,56)(53,145,554,267,428,141,
54,270,553,142,429,266)(58,170,559,292,433,166,59,295,558,167,434,291)
(61,95,575,617,437,466,71,120,565,592,447,491)(62,470,571,117,440,591,
72,495,561,92,450,616)(63,220,574,367,438,216,74,370,563,217,449,366)
(64,345,573,242,439,341,73,245,564,342,448,241)(65,595,572,492,436,91,
75,620,562,467,446,116)(66,70,570,567,442,441)(67,445,566)
(68,195,569,317,443,191,69,320,568,192,444,316)(78,150,604,262,453,146,
104,265,578,147,479,261)(79,275,603,137,454,271,103,140,579,272,478,136)
(83,175,609,287,458,171,109,290,583,172,484,286)(84,300,608,162,459,296,
108,165,584,297,483,161)(86,100,625,612,462,471,121,115,590,597,497,486)
(87,475,621,112,465,596,122,490,586,97,500,611)(88,225,624,362,463,221,
124,365,588,222,499,361)(89,350,623,237,464,346,123,240,589,347,498,236)
(90,600,622,487,461,96,125,615,587,472,496,111)(93,200,619,312,468,196,
119,315,593,197,494,311)(94,325,618,187,469,321,118,190,594,322,493,186)
(98,250,614,337,473,246,114,340,598,247,489,336)(99,375,613,212,474,371,
113,215,599,372,488,211)(128,129,254,253)(133,154,259,278)(134,279,258,153)
(138,204,274,353)(139,329,273,228)(143,179,269,303)(144,304,268,178)
(148,229,264,328)(149,354,263,203)(158,159,284,283)(163,209,299,358)
(164,334,298,233)(168,184,294,308)(169,309,293,183)(173,234,289,333)
(174,359,288,208)(188,219,324,368)(189,344,323,243)(193,194,319,318)
(198,244,314,343)(199,369,313,218)(213,224,374,363)(214,349,373,238)
(223,249,364,338)(239,339,348,248),
(1,449,527,483,80,396,554,407,103,475,501,434,27,498,580,381,54,422,603,
460)(2,499,530,383,79,421,553,457,101,450,502,484,30,398,579,406,53,
472,601,435)(3,474,526,433,77,496,555,382,104,425,503,459,26,448,577,
481,55,397,604,410)(4,424,528,458,76,446,552,482,105,400,504,409,28,
473,576,431,52,497,605,385)(5,399,529,408,78,471,551,432,102,500,505,
384,29,423,578,456,51,447,602,485)(6,74,547,608,85,21,574,532,108,
100,521,559,32,123,600,506,59,47,623,585)(7,124,550,508,84,46,573,
582,106,75,522,609,35,23,599,531,58,97,621,560)(8,99,546,558,82,
121,575,507,109,50,523,584,31,73,597,606,60,22,624,535)
(9,49,548,583,81,71,572,607,110,25,524,534,33,98,596,556,57,122,
625,510)(10,24,549,533,83,96,571,557,107,125,525,509,34,48,598,581,
56,72,622,610)(11,324,537,358,90,271,564,282,113,350,511,309,37,373,
590,256,64,297,613,335)(12,374,540,258,89,296,563,332,111,325,512,359,
40,273,589,281,63,347,611,310)(13,349,536,308,87,371,565,257,114,300,
513,334,36,323,587,356,65,272,614,285)(14,299,538,333,86,321,562,357,
115,275,514,284,38,348,586,306,62,372,615,260)(15,274,539,283,88,346,
561,307,112,375,515,259,39,298,588,331,61,322,612,360)(16,199,542,233,
95,146,569,157,118,225,516,184,42,248,595,131,69,172,618,210)
(17,249,545,133,94,171,568,207,116,200,517,234,45,148,594,156,68,222,
616,185)(18,224,541,183,92,246,570,132,119,175,518,209,41,198,592,231,
70,147,619,160)(19,174,543,208,91,196,567,232,120,150,519,159,43,223,
591,181,67,247,620,135)(20,149,544,158,93,221,566,182,117,250,520,134,
44,173,593,206,66,197,617,235)(126,444,152,493,205,391,179,417,228,470)
(127,494,155,393,204,416,178,467,226,445)(128,469,151,443,202,491,180,392,
229,420)(129,419,153,468,201,441,177,492,230,395)(130,394,154,418,203,466,
176,442,227,495)(136,319,162,368,215,266,189,292,238,345)(137,369,165,268,
214,291,188,342,236,320)(138,344,161,318,212,366,190,267,239,295)
(139,294,163,343,211,316,187,367,240,270)(140,269,164,293,213,341,186,317,
237,370)(141,194,167,243,220)(142,244,170,143,219,166,193,217,241,195)
(144,169,168,218,216,191,192,242,245,145)(251,439,277,488,330,386,304,412,
353,465)(252,489,280,388,329,411,303,462,351,440)(253,464,276,438,327,486,
305,387,354,415)(254,414,278,463,326,436,302,487,355,390)(255,389,279,413,
328,461,301,437,352,490)(261,314,287,363,340)(262,364,290,263,339,286,313,
337,361,315)(264,289,288,338,336,311,312,362,365,265)(376,429,402,478,455)
(377,479,405,378,454,401,428,452,476,430)(379,404,403,453,451,426,427,477,
480,380)]],
[32,414720000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.28",["A",5,4],
[(1,89,254,15,364,275,240,371,225,226,96,204)(2,39,259,515,362,300,235,
621,222,151,81,579)(3,64,269,390,363,325,245,496,223,176,91,454)
(4,14,264,265,365,375,250,246,221,201,76,79)(5,114,274,140,361,350,
230,121,224,126,86,329)(6,589,252,40,359,525,237,296,210,601,97,154)
(7,539,257,540,357,550,232,546,207,526,82,529)(8,564,267,415,358,575,
242,421,208,551,92,404)(9,514,262,290,360,625,247,171,206,576,77,29)
(10,614,272,165,356,600,227,46,209,501,87,279)(11,339,255,115,374,150,
236,346,205,101,99,129)(12,289,260,615,372,175,231,596,202,26,84,504)
(13,314,270,490,373,200,241,471,203,51,94,379)(16,464,253,65,369,400,
238,321,220,476,98,179)(17,414,258,565,367,425,233,571,217,401,83,554)
(18,439,268,440,368,450,243,446,218,426,93,429)(19,389,263,315,370,500,
248,196,216,451,78,54)(20,489,273,190,366,475,228,71,219,376,88,304)
(21,214,251,90,354,25,239,271,215,351,100,229)(22,164,256,590,352,50,
234,521,212,276,85,604)(23,189,266,465,353,75,244,396,213,301,95,479)
(24,139,261,340,355,125,249,146,211,326,80,104)(27,34,509,512,287,285,
610,622,172,156,581,577)(28,59,519,387,288,310,620,497,173,181,591,452)
(30,109,524,137,286,335,605,122,174,131,586,327)(31,584,502,37,284,510,
612,297,160,606,597,152)(32,534,507,537,282,535,607,547,157,531,582,527)
(33,559,517,412,283,560,617,422,158,556,592,402)(35,609,522,162,281,585,
602,47,159,506,587,277)(36,334,505,112,299,135,611,347,155,106,599,127)
(38,309,520,487,298,185,616,472,153,56,594,377)(41,459,503,62,294,385,
613,322,170,481,598,177)(42,409,508,562,292,410,608,572,167,406,583,552)
(43,434,518,437,293,435,618,447,168,431,593,427)(44,384,513,312,295,485,
623,197,166,456,578,52)(45,484,523,187,291,460,603,72,169,381,588,302)
(48,184,516,462,278,60,619,397,163,306,595,477)(49,134,511,337,280,110,
624,147,161,331,580,102)(53,69,394,388,313,320,495,498,198,191,466,453)
(55,119,399,138,311,345,480,123,199,141,461,328)(57,544,382,538,307,545,
482,548,182,541,457,528)(58,569,392,413,308,570,492,423,183,566,467,403)
(61,344,380,113,324,145,486,348,180,116,474,128)(63,319,395,488,323,195,
491,473,178,66,469,378)(67,419,383,563,317,420,483,573,192,416,458,553)
(68,444,393,438,318,445,493,448,193,441,468,428)(70,494,398,188,316,470,
478,73,194,391,463,303)(74,144,386,338,305,120,499,148,186,341,455,103)
(105,124,149,136,336,330)(107,549,132,536,332,530)(108,574,142,411,333,555,
117,424,133,561,342,405)(111,349,130)(118,449,143,436,343,430)
(407,533,557,542)(408,558,567,417)(418,433,568,442)(432,543),
(1,383,109,243,95,338,37,528)(2,508,106,493,94,213,40,278)
(3,8,108,118,93,88,38,28)(4,133,110,368,92,588,36,403)
(5,258,107,618,91,463,39,153)(6,483,119,218,90,288,27,503)
(7,608,116,468,89,163,30,253)(9,233,120,343,87,538,26,378)
(10,358,117,593,86,413,29,128)(11,408,104,143,85,363,42,578)
(12,533,101,393,84,238,45,328)(13,33,103,18,83,113,43,78)
(14,158,105,268,82,613,41,453)(15,283,102,518,81,488,44,203)
(16,458,114,168,80,263,32,603)(17,583,111,418,79,138,35,353)
(19,208,115,293,77,513,31,478)(20,333,112,543,76,388,34,228)
(21,433,124,193,100,313,47,553)(22,558,121,443,99,188,50,303)
(23,58,123,68,98,63,48,53)(24,183,125,318,97,563,46,428)
(25,308,122,568,96,438,49,178)(51,398,59,248,70,348,62,548)
(52,523,56,498,69,223,65,298)(54,148,60,373,67,598,61,423)
(55,273,57,623,66,473,64,173)(71,448,74,198,75,323,72,573)
(126,385,359,242,595,336,412,529)(127,510,356,492,594,211,415,279)
(129,135,360,367,592,586,411,404)(130,260,357,617,591,461,414,154)
(131,485,369,217,590,286,402,504)(132,610,366,467,589,161,405,254)
(134,235,370,342,587,536,401,379)(136,410,354,142,585,361,417,579)
(137,535,351,392,584,236,420,329)(139,160,355,267,582,611,416,454)
(140,285,352,517,581,486,419,204)(141,460,364,167,580,261,407,604)
(144,210,365,292,577,511,406,479)(145,335,362,542,576,386,409,229)
(146,435,374,192,600,311,422,554)(147,560,371,442,599,186,425,304)
(149,185,375,317,597,561,421,429)(150,310,372,567,596,436,424,179)
(151,380,259,232,620,341,462,539)(152,505,256,482,619,216,465,289)
(155,255,257,607,616,466,464,164)(156,480,269,207,615,291,452,514)
(157,605,266,457,614,166,455,264)(159,230,270,332,612,541,451,389)
(162,530,251,382,609,241,470,339)(165,280,252,507,606,491,469,214)
(169,205,265,282,602,516,456,489)(170,330,262,532,601,391,459,239)
(171,430,274,182,625,316,472,564)(172,555,271,432,624,191,475,314)
(174,180,275,307,622,566,471,439)(175,305,272,557,621,441,474,189)
(176,400,309,247,570,346,437,549)(177,525,306,497,569,221,440,299)
(181,500,319,222,565,296,427,524)(184,250,320,347,562,546,426,399)
(187,550,301,397,559,246,445,349)(190,300,302,522,556,496,444,224)
(194,225,315,297,552,521,431,499)(195,350,312,547,551,396,434,249)
(196,450,324,197,575,321,447,574)(199,200,325,322,572,571,446,449)
(201,390,284,227,520,331,487,544)(202,515,281,477,519,206,490,294)
(209,240,295,327,512,531,476,394)(212,540,276,377,509,231,495,344)
(215,290,277,502,506,481,494,219)(220,340,287,527,501,381,484,244)
(226,395,334,237,545,326,387,534)(234,245,345,337,537,526,376,384),
(1,410,571,489)(2,285,573,239)(3,160,572,364)(4,35,575,614)
(5,535,574,114)(6,435,561,389)(7,310,563,139)(8,185,562,264)
(9,60,565,514)(10,560,564,14)(11,385,556,439)(12,260,558,189)
(13,135,557,314)(15,510,559,64)(16,460,566,464)(17,335,568,214)
(18,210,567,339)(19,85,570,589)(20,585,569,89)(21,485,551,414)
(22,360,553,164)(23,235,552,289)(24,110,555,539)(25,610,554,39)
(26,425,621,479)(27,300,623,229)(28,175,622,354)(29,50,625,604)
(30,550,624,104)(31,450,611,379)(32,325,613,129)(33,200,612,254)
(34,75,615,504)(36,400,606,429)(37,275,608,179)(38,150,607,304)
(40,525,609,54)(41,475,616,454)(42,350,618,204)(43,225,617,329)
(44,100,620,579)(45,600,619,79)(46,500,601,404)(47,375,603,154)
(48,250,602,279)(49,125,605,529)(51,415,521,484)(52,290,523,234)
(53,165,522,359)(55,540,524,109)(56,440,511,384)(57,315,513,134)
(58,190,512,259)(59,65,515,509)(61,390,506,434)(62,265,508,184)
(63,140,507,309)(66,465,516,459)(67,340,518,209)(68,215,517,334)
(69,90,520,584)(70,590,519,84)(71,490,501,409)(72,365,503,159)
(73,240,502,284)(74,115,505,534)(76,420,596,494)(77,295,598,244)
(78,170,597,369)(80,545,599,119)(81,445,586,394)(82,320,588,144)
(83,195,587,269)(86,395,581,444)(87,270,583,194)(88,145,582,319)
(91,470,591,469)(92,345,593,219)(93,220,592,344)(94,95,595,594)
(96,495,576,419)(97,370,578,169)(98,245,577,294)(99,120,580,544)
(101,405,546,499)(102,280,548,249)(103,155,547,374)(105,530,549,124)
(106,430,536,399)(107,305,538,149)(108,180,537,274)(111,380,531,449)
(112,255,533,199)(113,130,532,324)(116,455,541,474)(117,330,543,224)
(118,205,542,349)(121,480,526,424)(122,355,528,174)(123,230,527,299)
(126,407,321,488)(127,282,323,238)(128,157,322,363)(131,432,311,388)
(132,307,313,138)(133,182,312,263)(136,382,306,438)(137,257,308,188)
(141,457,316,463)(142,332,318,213)(143,207,317,338)(146,482,301,413)
(147,357,303,163)(148,232,302,288)(151,422,371,478)(152,297,373,228)
(153,172,372,353)(156,447,361,378)(158,197,362,253)(161,397,356,428)
(162,272,358,178)(166,472,366,453)(167,347,368,203)(168,222,367,328)
(171,497,351,403)(173,247,352,278)(176,412,271,483)(177,287,273,233)
(181,437,261,383)(183,187,262,258)(186,387,256,433)(191,462,266,458)
(192,337,268,208)(193,212,267,333)(196,487,251,408)(198,237,252,283)
(201,417,346,493)(202,292,348,243)(206,442,336,393)(211,392,331,443)
(216,467,341,468)(217,342,343,218)(221,492,326,418)(223,242,327,293)
(226,402,296,498)(227,277,298,248)(231,427,286,398)(236,377,281,448)
(241,452,291,473)(246,477,276,423)(376,406,446,486)(381,431,436,386)
(391,456,441,461)(396,481,426,411)(401,421,496,476)(416,471,491,451)]],
[33,414720000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.29",["A",5,4],
[(1,185,416,52,245,36,555,168)(2,235,411,552,243,11,560,418)
(3,135,406,427,242,111,565,543)(4,210,421,302,244,86,575,293)
(5,160,401,177,241,61,570,43)(6,435,417,102,240,536,553,143)
(7,485,412,602,238,511,558,393)(8,385,407,477,237,611,563,518)
(9,460,422,352,239,586,573,268)(10,410,402,227,236,561,568,18)
(12,610,413,502,233,386,557,493)(13,510,408,377,232,486,562,618)
(14,585,423,252,234,461,572,368)(15,535,403,127,231,436,567,118)
(16,60,420,27,230,161,551,193)(17,110,415,527,228,136,556,443)
(19,85,425,277,229,211,571,318)(20,35,405,152,226,186,566,68)
(21,310,419,77,250,286,554,218)(22,360,414,577,248,261,559,468)
(23,260,409,452,247,361,564,593)(24,335,424,327,249,336,574,343)
(25,285,404,202,246,311,569,93)(26,180,166,51,195,41,55,170)
(28,130,156,426,192,116,65,545)(29,205,171,301,194,91,75,295)
(30,155,151,176,191,66,70,45)(31,430,167,101,190,541,53,145)
(32,480,162,601,188,516,58,395)(33,380,157,476,187,616,63,520)
(34,455,172,351,189,591,73,270)(37,605,163,501,183,391,57,495)
(38,505,158,376,182,491,62,620)(39,580,173,251,184,466,72,370)
(40,530,153,126,181,441,67,120)(42,105,165,526,178,141,56,445)
(44,80,175,276,179,216,71,320)(46,305,169,76,200,291,54,220)
(47,355,164,576,198,266,59,470)(48,255,159,451,197,366,64,595)
(49,330,174,326,199,341,74,345)(50,280,154,201,196,316,69,95)
(78,150,281,429,217,121,315,544)(79,225,296,304,219,96,325,294)
(81,450,292,104,215,546,303,144)(82,500,287,604,213,521,308,394)
(83,400,282,479,212,621,313,519)(84,475,297,354,214,596,323,269)
(87,625,288,504,208,396,307,494)(88,525,283,379,207,496,312,619)
(89,600,298,254,209,471,322,369)(90,550,278,129,206,446,317,119)
(92,125,290,529,203,146,306,444)(94,100,300,279,204,221,321,319)
(97,375,289,579,223,271,309,469)(98,275,284,454,222,371,314,594)
(99,350,299,329,224,346,324,344)(103,140,531,428,142,106,440,542)
(107,490,537,603,138,506,433,392)(108,390,532,478,137,606,438,517)
(109,465,547,353,139,581,448,267)(112,615,538,503,133,381,432,492)
(113,515,533,378,132,481,437,617)(114,590,548,253,134,456,447,367)
(115,540,528,128,131,431,442,117)(122,365,539,578,148,256,434,467)
(123,265,534,453,147,356,439,592)(124,340,549,328,149,331,449,342)
(257,484,462,622,363,514,583,398)(258,384,457,497,362,614,588,523)
(259,459,472,372,364,589,598,273)(262,609,463,522,358,389,582,498)
(263,509,458,397,357,489,587,623)(264,584,473,272,359,464,597,373)
(274,334,474,347,374,339,599,348)(332,499,337,624,338,524,333,399)
(382,482,487,612,613,513,508,383)(387,607,488,512,608,388,507,483),
(1,317,511,447)(2,267,512,397)(3,367,514,472,5,292,513,497,4,342,
515,422)(6,192,506,197)(7,142,507,147)(8,242,509,222,10,167,508,247,
9,217,510,172)(11,442,501,322)(12,392,502,272)(13,492,504,347,15,417,
503,372,14,467,505,297)(16,567,521,72)(17,517,522,22)(18,617,524,97,
20,542,523,122,19,592,525,47)(21,67,516,572)(23,117,519,597,25,42,
518,622,24,92,520,547)(26,318,611,449,76,320,536,448,101,319,586,450)
(27,268,612,399,77,270,537,398,102,269,587,400)(28,368,614,474,80,295,
538,498,104,344,590,425)(29,343,615,424,78,370,539,473,105,294,588,500)
(30,293,613,499,79,345,540,423,103,369,589,475)(31,193,606,199,81,195,
531,198,106,194,581,200)(32,143,607,149,82,145,532,148,107,144,582,150)
(33,243,609,224,85,170,533,248,109,219,585,175)(34,218,610,174,83,245,
534,223,110,169,583,250)(35,168,608,249,84,220,535,173,108,244,584,225)
(36,443,601,324,86,445,526,323,111,444,576,325)(37,393,602,274,87,395,
527,273,112,394,577,275)(38,493,604,349,90,420,528,373,114,469,580,300)
(39,468,605,299,88,495,529,348,115,419,578,375)(40,418,603,374,89,470,
530,298,113,494,579,350)(41,568,621,74,91,570,546,73,116,569,596,75)
(43,618,624,99,95,545,548,123,119,594,600,50)(44,593,625,49,93,620,
549,98,120,544,598,125)(45,543,623,124,94,595,550,48,118,619,599,100)
(46,68,616,574,96,70,541,573,121,69,591,575)(51,316,561,446)
(52,266,562,396)(53,366,564,471,55,291,563,496,54,341,565,421)
(56,191,556,196)(57,141,557,146)(58,241,559,221,60,166,558,246,59,216,
560,171)(61,441,551,321)(62,391,552,271)(63,491,554,346,65,416,553,371,
64,466,555,296)(66,566,571,71)(126,307,136,432)(127,257,137,382)
(128,357,139,457,130,282,138,482,129,332,140,407)(131,182)(133,232,134,207,
135,157)(151,308,236,434,201,310,161,433,226,309,211,435)(152,258,237,384,
202,260,162,383,227,259,212,385)(153,358,239,459,205,285,163,483,229,334,
215,410)(154,333,240,409,203,360,164,458,230,284,213,485)(155,283,238,484,
204,335,165,408,228,359,214,460)(156,183,231,184,206,185)(158,233,234,209,
210,160)(159,208,235)(176,306,186,431)(177,256,187,381)(178,356,189,456,
180,281,188,481,179,331,190,406)(251,312,386,427)(252,262,387,377)
(253,362,389,452,255,287,388,477,254,337,390,402)(261,437,376,302)
(263,487,379,327,265,412,378,352,264,462,380,277)(276,313,486,429,326,315,
411,428,351,314,461,430)(278,363,489,454,330,290,413,478,354,339,465,405)
(279,338,490,404,328,365,414,453,355,289,463,480)(280,288,488,479,329,340,
415,403,353,364,464,455)(286,438,476,304,336,440,401,303,361,439,451,305)
(301,311,436,426)]],
[34,414720000,0,"4c",[[16,1],[32,3],[256,2]],1,
"L2,4 on projective points^4.30",["A",5,4],
[(251,376,501)(252,377,502)(253,378,503)(254,379,504)(255,380,505)(256,381,506)
(257,382,507)(258,383,508)(259,384,509)(260,385,510)(261,386,511)
(262,387,512)(263,388,513)(264,389,514)(265,390,515)(266,391,516)
(267,392,517)(268,393,518)(269,394,519)(270,395,520)(271,396,521)
(272,397,522)(273,398,523)(274,399,524)(275,400,525)(276,401,526)
(277,402,527)(278,403,528)(279,404,529)(280,405,530)(281,406,531)
(282,407,532)(283,408,533)(284,409,534)(285,410,535)(286,411,536)
(287,412,537)(288,413,538)(289,414,539)(290,415,540)(291,416,541)
(292,417,542)(293,418,543)(294,419,544)(295,420,545)(296,421,546)
(297,422,547)(298,423,548)(299,424,549)(300,425,550)(301,426,551)
(302,427,552)(303,428,553)(304,429,554)(305,430,555)(306,431,556)
(307,432,557)(308,433,558)(309,434,559)(310,435,560)(311,436,561)
(312,437,562)(313,438,563)(314,439,564)(315,440,565)(316,441,566)
(317,442,567)(318,443,568)(319,444,569)(320,445,570)(321,446,571)
(322,447,572)(323,448,573)(324,449,574)(325,450,575)(326,451,576)
(327,452,577)(328,453,578)(329,454,579)(330,455,580)(331,456,581)
(332,457,582)(333,458,583)(334,459,584)(335,460,585)(336,461,586)
(337,462,587)(338,463,588)(339,464,589)(340,465,590)(341,466,591)
(342,467,592)(343,468,593)(344,469,594)(345,470,595)(346,471,596)
(347,472,597)(348,473,598)(349,474,599)(350,475,600)(351,476,601)
(352,477,602)(353,478,603)(354,479,604)(355,480,605)(356,481,606)
(357,482,607)(358,483,608)(359,484,609)(360,485,610)(361,486,611)
(362,487,612)(363,488,613)(364,489,614)(365,490,615)(366,491,616)
(367,492,617)(368,493,618)(369,494,619)(370,495,620)(371,496,621)
(372,497,622)(373,498,623)(374,499,624)(375,500,625),
(4,5)(9,10)(14,15)(19,20)(24,25)(29,30)(34,35)(39,40)
(44,45)(49,50)(54,55)(59,60)(64,65)(69,70)(74,75)(76,101)
(77,102)(78,103)(79,105)(80,104)(81,106)(82,107)(83,108)(84,110)
(85,109)(86,111)(87,112)(88,113)(89,115)(90,114)(91,116)(92,117)
(93,118)(94,120)(95,119)(96,121)(97,122)(98,123)(99,125)(100,124)
(129,130)(134,135)(139,140)(144,145)(149,150)(154,155)(159,160)(164,165)
(169,170)(174,175)(179,180)(184,185)(189,190)(194,195)(199,200)(201,226)
(202,227)(203,228)(204,230)(205,229)(206,231)(207,232)(208,233)(209,235)
(210,234)(211,236)(212,237)(213,238)(214,240)(215,239)(216,241)(217,242)
(218,243)(219,245)(220,244)(221,246)(222,247)(223,248)(224,250)(225,249)
(254,255)(259,260)(264,265)(269,270)(274,275)(279,280)(284,285)(289,290)
(294,295)(299,300)(304,305)(309,310)(314,315)(319,320)(324,325)(326,351)
(327,352)(328,353)(329,355)(330,354)(331,356)(332,357)(333,358)(334,360)
(335,359)(336,361)(337,362)(338,363)(339,365)(340,364)(341,366)(342,367)
(343,368)(344,370)(345,369)(346,371)(347,372)(348,373)(349,375)(350,374)
(379,380)(384,385)(389,390)(394,395)(399,400)(404,405)(409,410)(414,415)
(419,420)(424,425)(429,430)(434,435)(439,440)(444,445)(449,450)(451,476)
(452,477)(453,478)(454,480)(455,479)(456,481)(457,482)(458,483)(459,485)
(460,484)(461,486)(462,487)(463,488)(464,490)(465,489)(466,491)(467,492)
(468,493)(469,495)(470,494)(471,496)(472,497)(473,498)(474,500)(475,499)
(504,505)(509,510)(514,515)(519,520)(524,525)(529,530)(534,535)(539,540)
(544,545)(549,550)(554,555)(559,560)(564,565)(569,570)(574,575)(576,601)
(577,602)(578,603)(579,605)(580,604)(581,606)(582,607)(583,608)(584,610)
(585,609)(586,611)(587,612)(588,613)(589,615)(590,614)(591,616)(592,617)
(593,618)(594,620)(595,619)(596,621)(597,622)(598,623)(599,625)(600,624),
(4,5)(9,10)(14,15)(16,21)(17,22)(18,23)(19,25)(20,24)
(29,30)(34,35)(39,40)(41,46)(42,47)(43,48)(44,50)(45,49)
(54,55)(59,60)(64,65)(66,71)(67,72)(68,73)(69,75)(70,74)
(79,80)(84,85)(89,90)(91,96)(92,97)(93,98)(94,100)(95,99)
(104,105)(109,110)(114,115)(116,121)(117,122)(118,123)(119,125)(120,124)
(129,130)(134,135)(139,140)(141,146)(142,147)(143,148)(144,150)(145,149)
(154,155)(159,160)(164,165)(166,171)(167,172)(168,173)(169,175)(170,174)
(179,180)(184,185)(189,190)(191,196)(192,197)(193,198)(194,200)(195,199)
(204,205)(209,210)(214,215)(216,221)(217,222)(218,223)(219,225)(220,224)
(229,230)(234,235)(239,240)(241,246)(242,247)(243,248)(244,250)(245,249)
(254,255)(259,260)(264,265)(266,271)(267,272)(268,273)(269,275)(270,274)
(279,280)(284,285)(289,290)(291,296)(292,297)(293,298)(294,300)(295,299)
(304,305)(309,310)(314,315)(316,321)(317,322)(318,323)(319,325)(320,324)
(329,330)(334,335)(339,340)(341,346)(342,347)(343,348)(344,350)(345,349)
(354,355)(359,360)(364,365)(366,371)(367,372)(368,373)(369,375)(370,374)
(379,380)(384,385)(389,390)(391,396)(392,397)(393,398)(394,400)(395,399)
(404,405)(409,410)(414,415)(416,421)(417,422)(418,423)(419,425)(420,424)
(429,430)(434,435)(439,440)(441,446)(442,447)(443,448)(444,450)(445,449)
(454,455)(459,460)(464,465)(466,471)(467,472)(468,473)(469,475)(470,474)
(479,480)(484,485)(489,490)(491,496)(492,497)(493,498)(494,500)(495,499)
(504,505)(509,510)(514,515)(516,521)(517,522)(518,523)(519,525)(520,524)
(529,530)(534,535)(539,540)(541,546)(542,547)(543,548)(544,550)(545,549)
(554,555)(559,560)(564,565)(566,571)(567,572)(568,573)(569,575)(570,574)
(579,580)(584,585)(589,590)(591,596)(592,597)(593,598)(594,600)(595,599)
(604,605)(609,610)(614,615)(616,621)(617,622)(618,623)(619,625)(620,624),
(2,26)(3,51)(4,76)(5,101)(6,126)(7,151)(8,176)(9,201)
(10,226)(11,251)(12,276)(13,301)(14,326)(15,351)(16,376)(17,401)
(18,426)(19,451)(20,476)(21,501)(22,526)(23,551)(24,576)(25,601)
(28,52)(29,77)(30,102)(31,127)(32,152)(33,177)(34,202)(35,227)
(36,252)(37,277)(38,302)(39,327)(40,352)(41,377)(42,402)(43,427)
(44,452)(45,477)(46,502)(47,527)(48,552)(49,577)(50,602)(54,78)
(55,103)(56,128)(57,153)(58,178)(59,203)(60,228)(61,253)(62,278)
(63,303)(64,328)(65,353)(66,378)(67,403)(68,428)(69,453)(70,478)
(71,503)(72,528)(73,553)(74,578)(75,603)(80,104)(81,129)(82,154)
(83,179)(84,204)(85,229)(86,254)(87,279)(88,304)(89,329)(90,354)
(91,379)(92,404)(93,429)(94,454)(95,479)(96,504)(97,529)(98,554)
(99,579)(100,604)(106,130)(107,155)(108,180)(109,205)(110,230)(111,255)
(112,280)(113,305)(114,330)(115,355)(116,380)(117,405)(118,430)(119,455)
(120,480)(121,505)(122,530)(123,555)(124,580)(125,605)(132,156)(133,181)
(134,206)(135,231)(136,256)(137,281)(138,306)(139,331)(140,356)(141,381)
(142,406)(143,431)(144,456)(145,481)(146,506)(147,531)(148,556)(149,581)
(150,606)(158,182)(159,207)(160,232)(161,257)(162,282)(163,307)(164,332)
(165,357)(166,382)(167,407)(168,432)(169,457)(170,482)(171,507)(172,532)
(173,557)(174,582)(175,607)(184,208)(185,233)(186,258)(187,283)(188,308)
(189,333)(190,358)(191,383)(192,408)(193,433)(194,458)(195,483)(196,508)
(197,533)(198,558)(199,583)(200,608)(210,234)(211,259)(212,284)(213,309)
(214,334)(215,359)(216,384)(217,409)(218,434)(219,459)(220,484)(221,509)
(222,534)(223,559)(224,584)(225,609)(236,260)(237,285)(238,310)(239,335)
(240,360)(241,385)(242,410)(243,435)(244,460)(245,485)(246,510)(247,535)
(248,560)(249,585)(250,610)(262,286)(263,311)(264,336)(265,361)(266,386)
(267,411)(268,436)(269,461)(270,486)(271,511)(272,536)(273,561)(274,586)
(275,611)(288,312)(289,337)(290,362)(291,387)(292,412)(293,437)(294,462)
(295,487)(296,512)(297,537)(298,562)(299,587)(300,612)(314,338)(315,363)
(316,388)(317,413)(318,438)(319,463)(320,488)(321,513)(322,538)(323,563)
(324,588)(325,613)(340,364)(341,389)(342,414)(343,439)(344,464)(345,489)
(346,514)(347,539)(348,564)(349,589)(350,614)(366,390)(367,415)(368,440)
(369,465)(370,490)(371,515)(372,540)(373,565)(374,590)(375,615)(392,416)
(393,441)(394,466)(395,491)(396,516)(397,541)(398,566)(399,591)(400,616)
(418,442)(419,467)(420,492)(421,517)(422,542)(423,567)(424,592)(425,617)
(444,468)(445,493)(446,518)(447,543)(448,568)(449,593)(450,618)(470,494)
(471,519)(472,544)(473,569)(474,594)(475,619)(496,520)(497,545)(498,570)
(499,595)(500,620)(522,546)(523,571)(524,596)(525,621)(548,572)(549,597)
(550,622)(574,598)(575,623)(600,624),(2,126)(3,251)(4,376)(5,501)
(6,26)(7,151)(8,276)(9,401)(10,526)(11,51)(12,176)(13,301)
(14,426)(15,551)(16,76)(17,201)(18,326)(19,451)(20,576)(21,101)
(22,226)(23,351)(24,476)(25,601)(27,131)(28,256)(29,381)(30,506)
(32,156)(33,281)(34,406)(35,531)(36,56)(37,181)(38,306)(39,431)
(40,556)(41,81)(42,206)(43,331)(44,456)(45,581)(46,106)(47,231)
(48,356)(49,481)(50,606)(52,136)(53,261)(54,386)(55,511)(57,161)
(58,286)(59,411)(60,536)(62,186)(63,311)(64,436)(65,561)(66,86)
(67,211)(68,336)(69,461)(70,586)(71,111)(72,236)(73,361)(74,486)
(75,611)(77,141)(78,266)(79,391)(80,516)(82,166)(83,291)(84,416)
(85,541)(87,191)(88,316)(89,441)(90,566)(92,216)(93,341)(94,466)
(95,591)(96,116)(97,241)(98,366)(99,491)(100,616)(102,146)(103,271)
(104,396)(105,521)(107,171)(108,296)(109,421)(110,546)(112,196)(113,321)
(114,446)(115,571)(117,221)(118,346)(119,471)(120,596)(122,246)(123,371)
(124,496)(125,621)(128,252)(129,377)(130,502)(132,152)(133,277)(134,402)
(135,527)(137,177)(138,302)(139,427)(140,552)(142,202)(143,327)(144,452)
(145,577)(147,227)(148,352)(149,477)(150,602)(153,257)(154,382)(155,507)
(158,282)(159,407)(160,532)(162,182)(163,307)(164,432)(165,557)(167,207)
(168,332)(169,457)(170,582)(172,232)(173,357)(174,482)(175,607)(178,262)
(179,387)(180,512)(183,287)(184,412)(185,537)(188,312)(189,437)(190,562)
(192,212)(193,337)(194,462)(195,587)(197,237)(198,362)(199,487)(200,612)
(203,267)(204,392)(205,517)(208,292)(209,417)(210,542)(213,317)(214,442)
(215,567)(218,342)(219,467)(220,592)(222,242)(223,367)(224,492)(225,617)
(228,272)(229,397)(230,522)(233,297)(234,422)(235,547)(238,322)(239,447)
(240,572)(243,347)(244,472)(245,597)(248,372)(249,497)(250,622)(254,378)
(255,503)(258,278)(259,403)(260,528)(263,303)(264,428)(265,553)(268,328)
(269,453)(270,578)(273,353)(274,478)(275,603)(279,383)(280,508)(284,408)
(285,533)(288,308)(289,433)(290,558)(293,333)(294,458)(295,583)(298,358)
(299,483)(300,608)(304,388)(305,513)(309,413)(310,538)(314,438)(315,563)
(318,338)(319,463)(320,588)(323,363)(324,488)(325,613)(329,393)(330,518)
(334,418)(335,543)(339,443)(340,568)(344,468)(345,593)(348,368)(349,493)
(350,618)(354,398)(355,523)(359,423)(360,548)(364,448)(365,573)(369,473)
(370,598)(374,498)(375,623)(380,504)(384,404)(385,529)(389,429)(390,554)
(394,454)(395,579)(399,479)(400,604)(405,509)(410,534)(414,434)(415,559)
(419,459)(420,584)(424,484)(425,609)(430,514)(435,539)(440,564)(444,464)
(445,589)(449,489)(450,614)(455,519)(460,544)(465,569)(470,594)(474,494)
(475,619)(480,524)(485,549)(490,574)(495,599)(500,624)(510,530)(515,555)
(520,580)(525,605)(540,560)(545,585)(550,610)(570,590)(575,615)(600,620),
(1,126,251)(2,127,252)(3,128,253)(4,129,254)(5,130,255)(6,131,256)
(7,132,257)(8,133,258)(9,134,259)(10,135,260)(11,136,261)
(12,137,262)(13,138,263)(14,139,264)(15,140,265)(16,141,266)
(17,142,267)(18,143,268)(19,144,269)(20,145,270)(21,146,271)
(22,147,272)(23,148,273)(24,149,274)(25,150,275)(26,151,276)
(27,152,277)(28,153,278)(29,154,279)(30,155,280)(31,156,281)
(32,157,282)(33,158,283)(34,159,284)(35,160,285)(36,161,286)
(37,162,287)(38,163,288)(39,164,289)(40,165,290)(41,166,291)
(42,167,292)(43,168,293)(44,169,294)(45,170,295)(46,171,296)
(47,172,297)(48,173,298)(49,174,299)(50,175,300)(51,176,301)
(52,177,302)(53,178,303)(54,179,304)(55,180,305)(56,181,306)
(57,182,307)(58,183,308)(59,184,309)(60,185,310)(61,186,311)
(62,187,312)(63,188,313)(64,189,314)(65,190,315)(66,191,316)
(67,192,317)(68,193,318)(69,194,319)(70,195,320)(71,196,321)
(72,197,322)(73,198,323)(74,199,324)(75,200,325)(76,201,326)
(77,202,327)(78,203,328)(79,204,329)(80,205,330)(81,206,331)
(82,207,332)(83,208,333)(84,209,334)(85,210,335)(86,211,336)
(87,212,337)(88,213,338)(89,214,339)(90,215,340)(91,216,341)
(92,217,342)(93,218,343)(94,219,344)(95,220,345)(96,221,346)
(97,222,347)(98,223,348)(99,224,349)(100,225,350)(101,226,351)
(102,227,352)(103,228,353)(104,229,354)(105,230,355)(106,231,356)
(107,232,357)(108,233,358)(109,234,359)(110,235,360)(111,236,361)
(112,237,362)(113,238,363)(114,239,364)(115,240,365)(116,241,366)
(117,242,367)(118,243,368)(119,244,369)(120,245,370)(121,246,371)
(122,247,372)(123,248,373)(124,249,374)(125,250,375)]],
[35,414720000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.31",["A",5,4],
[(1,232,90,381,202,111,135,462)(2,107,85,456,201,236,140,387)
(3,357,95,431,203,361,145,437)(4,607,100,406,204,611,150,412)
(5,482,80,481,205,486,130,487)(6,207,86,131,212,11,132,87)
(7,82,81,206,211,136,137,12)(8,332,91,181,213,261,142,62)
(9,582,96,156,214,511,147,37)(10,457,76,231,215,386,127,112)
(13,257,92,56,208,336,141,187)(14,507,97,31,209,586,146,162)
(15,382,77,106,210,461,126,237)(16,182,88,256,217,61,133,337)
(17,57,83,331,216,186,138,262)(18,307,93,306,218,311,143,312)
(19,557,98,281,219,561,148,287)(20,432,78,356,220,436,128,362)
(21,157,89,506,222,36,134,587)(22,32,84,581,221,161,139,512)
(23,282,94,556,223,286,144,562)(24,532,99,531,224,536,149,537)
(25,407,79,606,225,411,129,612)(26,234,590,396,152,114,510,472)
(27,109,585,471,151,239,515,397)(28,359,595,446,153,364,520,447)
(29,609,600,421,154,614,525,422)(30,484,580,496,155,489,505,497)
(33,334,591,196,163,264,517,72)(34,584,596,171,164,514,522,47)
(35,459,576,246,165,389,502,122)(38,259,592,71,158,339,516,197)
(39,509,597,46,159,589,521,172)(40,384,577,121,160,464,501,247)
(41,184,588,271,167,64,508,347)(42,59,583,346,166,189,513,272)
(43,309,593,321,168,314,518,322)(44,559,598,296,169,564,523,297)
(45,434,578,371,170,439,503,372)(48,284,594,571,173,289,519,572)
(49,534,599,546,174,539,524,547)(50,409,579,621,175,414,504,622)
(51,233,340,391,177,113,260,467)(52,108,335,466,176,238,265,392)
(53,358,345,441,178,363,270,442)(54,608,350,416,179,613,275,417)
(55,483,330,491,180,488,255,492)(58,333,341,191,188,263,267,67)
(60,458,326,241,190,388,252,117)(63,258,342,66,183,338,266,192)
(65,383,327,116,185,463,251,242)(68,308,343,316,193,313,268,317)
(69,558,348,291,194,563,273,292)(70,433,328,366,195,438,253,367)
(73,283,344,566,198,288,269,567)(74,533,349,541,199,538,274,542)
(75,408,329,616,200,413,254,617)(101,235,465,376,227,115,385,452)
(102,110,460,451,226,240,390,377)(103,360,470,426,228,365,395,427)
(104,610,475,401,229,615,400,402)(105,485,455,476,230,490,380,477)
(118,310,468,301,243,315,393,302)(119,560,473,276,244,565,398,277)
(120,435,453,351,245,440,378,352)(123,285,469,551,248,290,394,552)
(124,535,474,526,249,540,399,527)(125,410,454,601,250,415,379,602)
(278,369,570,448)(279,619,575,423)(280,494,555,498)(293,319,568,323)
(294,569,573,298)(295,444,553,373)(299,544,574,548)(300,419,554,623)
(303,368,320,443)(304,618,325,418)(305,493)(324,543)(353,370,445,428)
(354,620,450,403)(355,495,430,478)(374,545,449,528)(375,420,429,603)
(404,604,625,425)(405,479,605,500)(424,529,624,550)(499,530),
(1,494,180,471,352,415,78,392,154,448,251,489,55,466,227,425,328,387,29,
443,126,499,305,461,102,420,203,397,279,438)(2,419,178,396,354,440,76,
492,155,473,252,414,53,391,229,450,326,487,30,468,127,424,303,386,104,
445,201,497,280,463)(3,394,179,446,351,490,80,467,152,423,253,389,54,
441,226,500,330,462,27,418,128,399,304,436,101,495,205,472,277,413)
(4,444,176,496,355,465,77,417,153,398,254,439,51,491,230,475,327,412,
28,393,129,449,301,486,105,470,202,422,278,388)(5,469,177,421,353,390,
79,442,151,498,255,464,52,416,228,400,329,437,26,493,130,474,302,411,
103,395,204,447,276,488)(6,619,185,596,357,540,83,517,159,573,256,614,
60,591,232,550,333,512,34,568,131,624,310,586,107,545,208,522,284,563)
(7,544,183,521,359,565,81,617,160,598,257,539,58,516,234,575,331,612,
35,593,132,549,308,511,109,570,206,622,285,588)(8,519,184,571,356,615,
85,592,157,548,258,514,59,566,231,625,335,587,32,543,133,524,309,561,
106,620,210,597,282,538)(9,569,181,621,360,590,82,542,158,523,259,564,
56,616,235,600,332,537,33,518,134,574,306,611,110,595,207,547,283,513)
(10,594,182,546,358,515,84,567,156,623,260,589,57,541,233,525,334,562,
31,618,135,599,307,536,108,520,209,572,281,613)(11,119,195,221,372,290,
88,17,169,198,271,364,65,91,242,175,348,262,39,68,141,249,325,336,
112,45,218,147,299,313)(12,44,193,146,374,315,86,117,170,223,272,289,
63,16,244,200,346,362,40,93,142,174,323,261,114,70,216,247,300,338)
(13,19,194,196,371,365,90,92,167,173,273,264,64,66,241,250,350,337,
37,43,143,149,324,311,111,120,220,222,297,288)(14,69,191,246,375,340,
87,42,168,148,274,314,61,116,245,225,347,287,38,18,144,199,321,361,
115,95,217,172,298,263)(15,94,192,171,373,265,89,67,166,248,275,339,
62,41,243,150,349,312,36,118,145,224,322,286,113,20,219,197,296,363)
(21,369,190,96,367,165,98,267,164,73,266,239,75,341,237,50,343,137,
49,318,136,124,320,211,122,295,213,22,294,188)(23,269,189,71,366,240,
100,342,162,48,268,139,74,316,236,125,345,212,47,293,138,24,319,186,
121,370,215,97,292,163)(25,344,187,46,368,140,99,317,161,123,270,214,
72,291,238)(376,479,430,451,477,405,453,377,404,428)(378,379,429,426,476,
480,455,452,402,403)(380,454,427,401,478)(381,604,435,576,482,530,458,502,
409,553)(382,529,433,501,484,555,456,602,410,578)(383,504,434,551,481,605,
460,577,407,528)(384,554,431,601,485,580,457,527,408,503)(385,579,432,526,
483,505,459,552,406,603)(506,609,560,581,607,535,583,507,534,558)
(508,509,559,556,606,610,585,582,532,533)(510,584,557,531,608)]],
[36,622080000,0,"4c",[[16,1],[96,1],[256,2]],1,
"L2,4 on projective points^4.32",["A",5,4],
[(1,117,228,219,455,416,277,318,554,520)(2,118,229,220,451,417,278,319,555,
516)(3,119,230,216,452,418,279,320,551,517)(4,120,226,217,453,419,280,
316,552,518)(5,116,227,218,454,420,276,317,553,519)(6,112,233,214,460,
411,282,313,559,515)(7,113,234,215,456,412,283,314,560,511)
(8,114,235,211,457,413,284,315,556,512)(9,115,231,212,458,414,285,311,
557,513)(10,111,232,213,459,415,281,312,558,514)(11,107,238,209,465,406,
287,308,564,510)(12,108,239,210,461,407,288,309,565,506)(13,109,240,206,
462,408,289,310,561,507)(14,110,236,207,463,409,290,306,562,508)
(15,106,237,208,464,410,286,307,563,509)(16,102,243,204,470,401,292,303,
569,505)(17,103,244,205,466,402,293,304,570,501)(18,104,245,201,467,403,
294,305,566,502)(19,105,241,202,468,404,295,301,567,503)(20,101,242,203,
469,405,291,302,568,504)(21,122,248,224,475,421,297,323,574,525)
(22,123,249,225,471,422,298,324,575,521)(23,124,250,221,472,423,299,325,
571,522)(24,125,246,222,473,424,300,321,572,523)(25,121,247,223,474,425,
296,322,573,524)(26,367,178,594,380,41,352,193,579,395)(27,368,179,595,
376,42,353,194,580,391)(28,369,180,591,377,43,354,195,576,392)
(29,370,176,592,378,44,355,191,577,393)(30,366,177,593,379,45,351,192,
578,394)(31,362,183,589,385,36,357,188,584,390)(32,363,184,590,381,37,
358,189,585,386)(33,364,185,586,382,38,359,190,581,387)(34,365,181,587,
383,39,360,186,582,388)(35,361,182,588,384,40,356,187,583,389)
(46,372,198,599,400)(47,373,199,600,396)(48,374,200,596,397)
(49,375,196,597,398)(50,371,197,598,399)(51,617,128,94,480,166,327,443,
529,270)(52,618,129,95,476,167,328,444,530,266)(53,619,130,91,477,168,
329,445,526,267)(54,620,126,92,478,169,330,441,527,268)(55,616,127,93,
479,170,326,442,528,269)(56,612,133,89,485,161,332,438,534,265)
(57,613,134,90,481,162,333,439,535,261)(58,614,135,86,482,163,334,440,
531,262)(59,615,131,87,483,164,335,436,532,263)(60,611,132,88,484,165,
331,437,533,264)(61,607,138,84,490,156,337,433,539,260)(62,608,139,85,
486,157,338,434,540,256)(63,609,140,81,487,158,339,435,536,257)
(64,610,136,82,488,159,340,431,537,258)(65,606,137,83,489,160,336,432,
538,259)(66,602,143,79,495,151,342,428,544,255)(67,603,144,80,491,152,
343,429,545,251)(68,604,145,76,492,153,344,430,541,252)(69,605,141,77,
493,154,345,426,542,253)(70,601,142,78,494,155,341,427,543,254)
(71,622,148,99,500,171,347,448,549,275)(72,623,149,100,496,172,348,449,
550,271)(73,624,150,96,497,173,349,450,546,272)(74,625,146,97,498,174,
350,446,547,273)(75,621,147,98,499,175,346,447,548,274),
(1,343,181,364)(2,468,185,614)(3,218,184,114)(4,93,183,239)
(5,593,182,489)(6,368,176,339)(7,493,180,589)(8,243,179,89)
(9,118,178,214)(10,618,177,464)(11,268,191,314)(12,393,195,564)
(13,143,194,64)(14,18,193,189)(15,518,192,439)(16,318,186,264)
(17,443,190,514)(19,68,188,139)(20,568,187,389)(21,293,196,289)
(22,418,200,539)(23,168,199,39)(24,43,198,164)(25,543,197,414)
(26,348,156,374)(27,473,160,624)(28,223,159,124)(29,98,158,249)
(30,598,157,499)(31,373,151,349)(32,498,155,599)(33,248,154,99)
(34,123,153,224)(35,623,152,474)(36,273,166,324)(37,398,170,574)
(38,148,169,74)(40,523,167,449)(41,323,161,274)(42,448,165,524)
(44,73,163,149)(45,573,162,399)(46,298,171,299)(47,423,175,549)
(48,173,174,49)(50,548,172,424)(51,338,131,369)(52,463,135,619)
(53,213,134,119)(54,88,133,244)(55,588,132,494)(56,363,126,344)
(57,488,130,594)(58,238,129,94)(59,113,128,219)(60,613,127,469)
(61,263,141,319)(62,388,145,569)(63,138,144,69)(65,513,142,444)
(66,313,136,269)(67,438,140,519)(70,563,137,394)(71,288,146,294)
(72,413,150,544)(75,538,147,419)(76,333,231,354)(77,458,235,604)
(78,208,234,104)(79,83,233,229)(80,583,232,479)(81,358,226,329)
(82,483,230,579)(84,108,228,204)(85,608,227,454)(86,258,241,304)
(87,383,245,554)(90,508,242,429)(91,308,236,254)(92,433,240,504)
(95,558,237,379)(96,283,246,279)(97,408,250,529)(100,533,247,404)
(101,328,206,359)(102,453,210,609)(103,203,209,109)(105,578,207,484)
(106,353,201,334)(107,478,205,584)(110,603,202,459)(111,253,216,309)
(112,378,220,559)(115,503,217,434)(116,303,211,259)(117,428,215,509)
(120,553,212,384)(121,278,221,284)(122,403,225,534)(125,528,222,409)
(251,341,306,361)(252,466,310,611)(255,591,307,486)(256,366,301,336)
(257,491,305,586)(260,616,302,461)(261,266,316,311)(262,391,320,561)
(265,516,317,436)(267,441,315,511)(270,566,312,386)(271,291,321,286)
(272,416,325,536)(275,541,322,411)(276,346,281,371)(277,471,285,621)
(280,596,282,496)(287,396,295,571)(290,521,292,446)(297,421,300,546)
(326,331,356,351)(327,456,360,601)(330,581,357,476)(332,481,355,576)
(335,606,352,451)(337,381,370,551)(340,506,367,426)(342,431,365,501)
(345,556,362,376)(347,406,375,526)(350,531,372,401)(377,470,560,612)
(380,595,557,487)(382,495,555,587)(385,620,552,462)(387,395,570,562)
(390,520,567,437)(392,445,565,512)(397,420,575,537)(400,545,572,412)
(402,475,535,622)(405,600,532,497)(407,500,530,597)(410,625,527,472)
(415,525,542,447)(417,450,540,522)(422,425,550,547)(427,465,510,617)
(430,590,507,492)(432,490,505,592)(435,615,502,467)(440,515,517,442)
(452,460,610,602)(455,585,607,477)(457,485,605,577)(480,580,582,482),
(1,424,332,15,479,222,6,414,327,25,484,212)(2,399,457,12,379,472,7,
389,452,22,384,462)(3,449,582,13,429,597,8,439,577,23,434,587)
(4,474,82,14,454,97,9,464,77,24,459,87)(5,499,207,11,404,347,
10,489,202,21,409,337)(16,419,342,20,494,217)(17,394,467)(18,444,592)
(19,469,92)(26,299,335,115,229,221,31,289,330,125,234,211)
(27,274,460,112,129,471,32,264,455,122,134,461)(28,324,585,113,179,596,
33,314,580,123,184,586)(29,349,85,114,204,96,34,339,80,124,209,86)
(30,374,210,111,154,346,35,364,205,121,159,336)(36,279,350,110,239,201,
46,284,340,105,249,206)(37,254,475,107,139,451,47,259,465,102,149,456)
(38,304,600,108,189,576,48,309,590,103,199,581)(39,329,100,109,214,76,
49,334,90,104,224,81)(40,354,225,106,164,326,50,359,215,101,174,331)
(41,294,345,120,244,216)(42,269,470,117,144,466)(43,319,595,118,194,591)
(44,344,95,119,219,91)(45,369,220,116,169,341)(51,549,333,65,604,223,
56,539,328,75,609,213)(52,524,458,62,504,473,57,514,453,72,509,463)
(53,574,583,63,554,598,58,564,578,73,559,588)(54,599,83,64,579,98,
59,589,78,74,584,88)(55,624,208,61,529,348,60,614,203,71,534,338)
(66,544,343,70,619,218)(67,519,468)(68,569,593)(69,594,93)
(79,99,84,89)(126,421,282,265,480,247,131,411,277,275,485,237)
(127,396,407,262,380,497,132,386,402,272,385,487)(128,446,532,263,430,622,
133,436,527,273,435,612)(130,496,157,261,405,372,135,486,152,271,410,362)
(136,401,297,260,490,227,146,406,287,255,500,232)(137,376,422,257,390,477,
147,381,412,252,400,482)(138,426,547,258,440,602,148,431,537,253,450,607)
(140,476,172,256,415,352,150,481,162,251,425,357)(141,416,292,270,495,242)
(142,391,417,267,395,492)(143,441,542,268,445,617)(145,491,167,266,420,367)
(151,296,285,365,230,246,156,286,280,375,235,236)(153,321,535,363,180,621,
158,311,530,373,185,611)(155,371,160,361)(161,276,300,360,240,226,171,281,
290,355,250,231)(163,301,550,358,190,601,173,306,540,353,200,606)
(165,351,175,356)(166,291,295,370,245,241)(168,316,545,368,195,616)(170,366)
(176,546,283,315,605,248,181,536,278,325,610,238)(177,521,408,312,505,498,
182,511,403,322,510,488)(178,571,533,313,555,623,183,561,528,323,560,613)
(186,526,298,310,615,228,196,531,288,305,625,233)(187,501,423,307,515,478,
197,506,413,302,525,483)(188,551,548,308,565,603,198,556,538,303,575,608)
(191,541,293,320,620,243)(192,516,418,317,520,493)(193,566,543,318,570,618)
(377,397,382,387)(378,447,507,388,427,522,383,437,502,398,432,512)
(393,442,517)(428,572,508,438,552,523,433,562,503,448,557,513)(443,567,518)
(553,573,558,563)]],
[37,622080000,0,"4c",[[16,1],[96,1],[256,2]],1,
"L2,4 on projective points^4.33",["A",5,4],
[(1,84,597,200,238,491,294,252,10,583,571,189,487,420,278)(2,85,598,196,
239,492,295,253,6,584,572,190,488,416,279)(3,81,599,197,240,493,291,
254,7,585,573,186,489,417,280)(4,82,600,198,236,494,292,255,8,581,
574,187,490,418,276)(5,83,596,199,237,495,293,251,9,582,575,188,486,
419,277)(11,459,547,180,113,466,299,127,110,593,321,139,482,545,303)
(12,460,548,176,114,467,300,128,106,594,322,140,483,541,304)
(13,456,549,177,115,468,296,129,107,595,323,136,484,542,305)
(14,457,550,178,111,469,297,130,108,591,324,137,485,543,301)
(15,458,546,179,112,470,298,126,109,592,325,138,481,544,302)
(16,334,522,185,613,441,289,377,35,578,71,214,497,170,353)
(17,335,523,181,614,442,290,378,31,579,72,215,498,166,354)
(18,331,524,182,615,443,286,379,32,580,73,211,499,167,355)
(19,332,525,183,611,444,287,380,33,576,74,212,500,168,351)
(20,333,521,184,612,445,288,376,34,577,75,213,496,169,352)
(21,209,622,195,363,391,284,502,60,588,446,164,477,45,328)
(22,210,623,191,364,392,285,503,56,589,447,165,478,41,329)
(23,206,624,192,365,393,281,504,57,590,448,161,479,42,330)
(24,207,625,193,361,394,282,505,58,586,449,162,480,43,326)
(25,208,621,194,362,395,283,501,59,587,450,163,476,44,327)
(26,79,97,225,248,241,369,267,260,508,556,564,437,415,403)
(27,80,98,221,249,242,370,268,256,509,557,565,438,411,404)
(28,76,99,222,250,243,366,269,257,510,558,561,439,412,405)
(29,77,100,223,246,244,367,270,258,506,559,562,440,413,401)
(30,78,96,224,247,245,368,266,259,507,560,563,436,414,402)
(36,454,47,205,123,216,374,142,360,518,306,514,432,540,428)
(37,455,48,201,124,217,375,143,356,519,307,515,433,536,429)
(38,451,49,202,125,218,371,144,357,520,308,511,434,537,430)
(39,452,50,203,121,219,372,145,358,516,309,512,435,538,426)
(40,453,46,204,122,220,373,141,359,517,310,513,431,539,427)
(51,89,472,175,228,116,344,272,135,608,566,314,387,410,528)
(52,90,473,171,229,117,345,273,131,609,567,315,388,406,529)
(53,86,474,172,230,118,341,274,132,610,568,311,389,407,530)
(54,87,475,173,226,119,342,275,133,606,569,312,390,408,526)
(55,88,471,174,227,120,343,271,134,607,570,313,386,409,527)
(61,464,422,155,103,91,349,147,235,618,316,264,382,535,553)
(62,465,423,151,104,92,350,148,231,619,317,265,383,531,554)
(63,461,424,152,105,93,346,149,232,620,318,261,384,532,555)
(64,462,425,153,101,94,347,150,233,616,319,262,385,533,551)
(65,463,421,154,102,95,348,146,234,617,320,263,381,534,552)
(66,339,397,160,603)(67,340,398,156,604)(68,336,399,157,605)
(69,337,400,158,601)(70,338,396,159,602),
(1,402,553,130,327,54,480,576,154,353)(2,427,555,205,329,104,476,526,153,
253)(3,377,552,180,330,79,479,601,151,278)(4,477,551,155,328)
(5,452,554,230,326,29,478,501,152,303)(6,422,563,145,332,74,490,591,
159,373,11,417,558,150,337,69,485,596,164,368)(7,447,565,220,334,124,
486,541,158,273,12,442,560,225,339,119,481,546,163,268)(8,397,562,195,
335,99,489,616,156,298,13,392,557,200,340,94,484,621,161,293)
(9,497,561,170,333,24,487,566,160,348,14,492,556,175,338,19,482,571,
165,343)(10,472,564,245,331,49,488,516,157,323,15,467,559,250,336,44,
483,521,162,318)(16,407,573,140,342,59,500,586,169,358,21,412,568,135,
347,64,495,581,174,363)(17,432,575,215,344,109,496,536,168,258,22,437,
570,210,349,114,491,531,173,263)(18,382,572,190,345,84,499,611,166,283,
23,387,567,185,350,89,494,606,171,288)(20,457,574,240,341,34,498,511,
167,308,25,462,569,235,346,39,493,506,172,313)(26,403,503,127,302,55,
455,579,229,351)(27,428,505,202,304,105,451,529,228,251)(28,378,502,177,
305,80,454,604,226,276)(30,453,504,227,301)(31,423,513,142,307,75,465,
594,234,371,36,418,508,147,312,70,460,599,239,366)(32,448,515,217,309,
125,461,544,233,271,37,443,510,222,314,120,456,549,238,266)
(33,398,512,192,310,100,464,619,231,296,38,393,507,197,315,95,459,624,
236,291)(35,473,514,242,306,50,463,519,232,321,40,468,509,247,311,45,
458,524,237,316)(41,408,523,137,317,60,475,589,244,356,46,413,518,132,
322,65,470,584,249,361)(42,433,525,212,319,110,471,539,243,256,47,438,
520,207,324,115,466,534,248,261)(43,383,522,187,320,85,474,614,241,281,
48,388,517,182,325,90,469,609,246,286)(51,405,578,129,352)
(52,430,580,204,354,101,401,528,128,252)(53,380,577,179,355,76,404,603,
126,277)(56,425,588,144,357,71,415,593,134,372,61,420,583,149,362,66,
410,598,139,367)(57,450,590,219,359,121,411,543,133,272,62,445,585,224,
364,116,406,548,138,267)(58,400,587,194,360,96,414,618,131,297,63,395,
582,199,365,91,409,623,136,292)(67,435,600,214,369,106,421,538,143,257,
72,440,595,209,374,111,416,533,148,262)(68,385,597,189,370,81,424,613,
141,282,73,390,592,184,375,86,419,608,146,287)(77,429,605,201,279,103,
376,527,178,255)(78,379,602,176,280)(82,449,615,216,284,123,386,542,183,
275,87,444,610,221,289,118,381,547,188,270)(83,399,612,191,285,98,389,
617,181,300,88,394,607,196,290,93,384,622,186,295)(92,434,625,211,294,
108,396,537,193,260,97,439,620,206,299,113,391,532,198,265)
(102,426,530,203,254)(107,446,540,218,259,122,436,545,208,274,112,441,535,
223,264,117,431,550,213,269)]],
[38,829440000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.34",["A",5,4],
[(1,269,159,240,61,317,532,605)(2,519,154,140,64,192,537,555)
(3,394,174,215,63,442,547,580)(4,144,164,190,62,567,527,505)
(5,19,169,165,65,67,542,530)(6,369,156,365,56,367,531,355)
(7,619,151,265,59,242,536,305)(8,494,171,340,58,492,546,330)
(9,244,161,315,57,617,526,255)(10,119,166,290,60,117,541,280)
(11,319,157,615,51,267,534,230)(12,569,152,515,54,142,539,180)
(13,444,172,590,53,392,549,205)(14,194,162,565,52,517,529,130)
(15,69,167,540,55,17,544,155)(16,294,160,115,66,292,535,105)
(18,419,175,90,68,417,550,80)(20,44,170,40,70,42,545,30)
(21,344,158,490,71,342,533,480)(22,594,153,390,74,217,538,430)
(23,469,173,465,73,467,548,455)(24,219,163,440,72,592,528,380)
(25,94,168,415,75,92,543,405)(26,270,34,245,36,320,32,620)
(27,520,29,145,39,195,37,570)(28,395,49,220,38,445,47,595)(31,370)
(33,495,46,345)(35,120,41,295)(43,420,50,95)(48,470)
(76,268,409,250,86,318,407,625)(77,518,404,150,89,193,412,575)
(78,393,424,225,88,443,422,600)(79,143,414,200,87,568,402,525)
(81,368,406,375)(82,618,401,275,84,243,411,325)(83,493,421,350)
(85,118,416,300)(91,293,410,125)(93,418,425,100)(96,343,408,500)
(97,593,403,400,99,218,413,450)(98,468,423,475)(101,266,284,235,111,316,
282,610)(102,516,279,135,114,191,287,560)(103,391,299,210,113,441,297,585)
(104,141,289,185,112,566,277,510)(106,366,281,360)(107,616,276,260,109,241,
286,310)(108,491,296,335)(110,116,291,285)(121,341,283,485)
(122,591,278,385,124,216,288,435)(123,466,298,460)(126,264,184,237,561,302,
507,604)(127,514,179,137,564,177,512,554)(128,389,199,212,563,427,522,579)
(129,139,189,187,562,552,502,504)(131,364,181,362,556,352,506,354)
(132,614,176,262,559,227,511,304)(133,489,196,337,558,477,521,329)
(134,239,186,312,557,602,501,254)(136,314,182,612,551,252,509,229)
(138,439,197,587,553,377,524,204)(146,339,183,487,571,327,508,479)
(147,589,178,387,574,202,513,429)(148,464,198,462,573,452,523,454)
(149,214,188,437,572,577,503,379)(201,263,434,247,586,303,382,624)
(203,388,449,222,588,428,397,599)(206,363,431,372,581,353,381,374)
(207,613,426,272,584,228,386,324)(208,488,446,347,583,478,396,349)
(209,238,436,322,582,603,376,274)(211,313,432,622,576,253,384,249)
(213,438,447,597,578,378,399,224)(221,338,433,497,596,328,383,499)
(223,463,448,472,598,453,398,474)(226,261,309,232,611,301,257,609)
(231,361,306,357,606,351,256,359)(233,486,321,332,608,476,271,334)
(234,236,311,307,607,601,251,259)(246,336,308,482,621,326,258,484)
(248,461,323,457,623,451,273,459)(331,358,481,371)(333,483,496,346)
(348,458,498,471)(373,456),
(1,362,49,442,81,252,114,422,66,332,4,487,46,317,84,377,111,297,69,
457)(2,112,47,67,82)(3,612,50,192,83,502,115,172,68,582,5,237,
48,567,85,127,113,547,70,207)(6,262,39,417,91,327,104,497,71,307,
9,387,36,292,94,452,101,372,74,432)(7,12,37,42,92,77,102,122,
72,57)(8,512,40,167,93,577,105,247,73,557,10,137,38,542,95,202,
103,622,75,182)(11,287,44,467,76,352,124,447,56,257,14,412,41,342,
79,477,121,322,59,382)(13,537,45,217,78,602,125,197,58,507,15,162,
43,592,80,227,123,572,60,132)(16,337,29,492,96,302,109,397,61,282,
19,462,26,367,99,427,106,272,64,407)(17,87,27,117,97,52,107,22,
62,32)(18,587,30,242,98,552,110,147,63,532,20,212,28,617,100,177,
108,522,65,157)(21,312,34,392,86,277,119,472,51,357,24,437,31,267,
89,402,116,347,54,482)(23,562,35,142,88,527,120,222,53,607,25,187,
33,517,90,152,118,597,55,232)(126,363,549,445,206,253,614,425,191,333,
504,490,171,318,584,380,236,298,569,460)(128,613,550,195,208,503,615,175,
193,583,505,240,173,568,585,130,238,548,570,210)(129,488,546,320,209,378,
611,300,194,458,501,365,174,443,581,255,239,423,566,335)(131,263,539,420,
216,328,604,500,196,308,509,390,161,293,594,455,226,373,574,435)
(133,513,540,170,218,578,605,250,198,558,510,140,163,543,595,205,228,623,
575,185)(134,388,536,295,219,453,601,375,199,433,506,265,164,418,591,330,
229,498,571,310)(135,138,538,545,220,203,603,625,200,183,508,515,165,168,
593,580,230,248,573,560)(136,288,544,470,201,353,624,450,181,258,514,415,
166,343,579,480,246,323,559,385)(139,413,541,345,204,478,621,325,184,383,
511,290,169,468,576,355,249,448,556,260)(141,338,529,495,221,303,609,400,
186,283,519,465,151,368,599,430,231,273,564,410)(143,588,530,245,223,553,
610,150,188,533,520,215,153,618,600,180,233,523,565,160)(144,463,526,370,
224,428,606,275,189,408,516,340,154,493,596,305,234,398,561,285)
(145,213,528,620,225,178,608,525,190,158,518,590,155,243,598,555,235,148,
563,535)(146,313,534,395,211,278,619,475,176,358,524,440,156,268,589,405,
241,348,554,485)(149,438,531,270,214,403,616,350,179,483,521,315,159,393,
586,280,244,473,551,360)(251,364,424,441,331,254,489,421,316,334,379,486,
296,319,459,376,361,299,444,456)(256,264,414,416,341,329,479,496,321,309,
384,386,286,294,469,451,351,374,449,431)(259,389,411,291,344,454,476,371,
324,434,381,261,289,419,466,326,354,499,446,306)(266,339,404,491,346,304,
484,396,311,284,394,461,276,369,474,426,356,274,439,406)(269,464,401,366,
349,429,481,271,314,409,391,336,279,494,471,301,359,399,436,281),
(1,552,330,104,426,277,230,379,526,202,5,554,326,102,430,279,226,377,530,
204)(2,555,329,101,427,280,229,376,527,205,4,551,327,105,429,276,227,
380,529,201)(3,553,328,103,428,278,228,378,528,203)(6,572,340,109,446,
287,235,399,536,207,25,564,331,122,440,284,246,387,535,224,11,557,350,
114,431,297,240,384,546,212,10,574,336,107,450,289,231,397,540,209,21,
562,335,124,436,282,250,389,531,222,15,559,346,112,435,299,236,382,550,214
)(7,575,339,106,447,290,234,396,537,210,24,561,332,125,439,281,247,390,
534,221,12,560,349,111,432,300,239,381,547,215,9,571,337,110,449,286,
232,400,539,206,22,565,334,121,437,285,249,386,532,225,14,556,347,115,
434,296,237,385,549,211)(8,573,338,108,448,288,233,398,538,208,23,563,
333,123,438,283,248,388,533,223,13,558,348,113,433,298,238,383,548,213)
(16,567,345,119,441,292,245,394,541,217,20,569,341,117,445,294,241,392,
545,219)(17,570,344,116,442,295,244,391,542,220,19,566,342,120,444,291,
242,395,544,216)(18,568,343,118,443,293,243,393,543,218)(26,177,255,604,
451,27,180,254,601,452,30,179,251,602,455,29,176,252,605,454)
(28,178,253,603,453)(31,197,265,609,471,37,185,274,611,457,50,189,256,
622,465,34,196,262,610,474,36,182,275,614,456,47,190,259,621,462,35,
199,261,607,475,39,181,272,615,459,46,187,260,624,461,32,200,264,606,
472,40,184,271,612,460,49,186,257,625,464)(33,198,263,608,473,38,183,
273,613,458,48,188,258,623,463)(41,192,270,619,466,42,195,269,616,467,
45,194,266,617,470,44,191,267,620,469)(43,193,268,618,468)
(51,302,355,479,401,152,130,504,576,77,55,304,351,477,405,154,126,502,
580,79)(52,305,354,476,402,155,129,501,577,80,54,301,352,480,404,151,
127,505,579,76)(53,303,353,478,403,153,128,503,578,78)(56,322,365,484,
421,162,135,524,586,82,75,314,356,497,415,159,146,512,585,99,61,307,
375,489,406,172,140,509,596,87,60,324,361,482,425,164,131,522,590,84,
71,312,360,499,411,157,150,514,581,97,65,309,371,487,410,174,136,507,
600,89)(57,325,364,481,422,165,134,521,587,85,74,311,357,500,414,156,
147,515,584,96,62,310,374,486,407,175,139,506,597,90,59,321,362,485,
424,161,132,525,589,81,72,315,359,496,412,160,149,511,582,100,64,306,
372,490,409,171,137,510,599,86)(58,323,363,483,423,163,133,523,588,83,
73,313,358,498,413,158,148,513,583,98,63,308,373,488,408,173,138,508,
598,88)(66,317,370,494,416,167,145,519,591,92,70,319,366,492,420,169,
141,517,595,94)(67,320,369,491,417,170,144,516,592,95,69,316,367,495,
419,166,142,520,594,91)(68,318,368,493,418,168,143,518,593,93)]],
[39,829440000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.35",["A",5,4],
[(1,216,606,11,221,601,16,206,611,21,201,616,6,211,621)(2,220,609,12,
225,604,17,210,614,22,205,619,7,215,624)(3,218,608,13,223,603,18,
208,613,23,203,618,8,213,623)(4,217,610,14,222,605,19,207,615,24,
202,620,9,212,625)(5,219,607,15,224,602,20,209,612,25,204,617,10,
214,622)(26,466,556,261,171,476,66,331,536,396,176,366,31,461,571,251,
166,481,61,346,526,391,181,361,46,451,566,256,161,496,51,341,531,386,
196,351,41,456,561,271,151,491,56,336,546,376,191,356,36,471,551,266,
156,486,71,326,541,381,186,371)(27,470,559,262,175,479,67,335,539,397,
180,369,32,465,574,252,170,484,62,350,529,392,185,364,47,455,569,257,
165,499,52,345,534,387,200,354,42,460,564,272,155,494,57,340,549,377,
195,359,37,475,554,267,160,489,72,330,544,382,190,374)(28,468,558,263,
173,478,68,333,538,398,178,368,33,463,573,253,168,483,63,348,528,393,
183,363,48,453,568,258,163,498,53,343,533,388,198,353,43,458,563,273,
153,493,58,338,548,378,193,358,38,473,553,268,158,488,73,328,543,383,
188,373)(29,467,560,264,172,480,69,332,540,399,177,370,34,462,575,254,
167,485,64,347,530,394,182,365,49,452,570,259,162,500,54,342,535,389,
197,355,44,457,565,274,152,495,59,337,550,379,192,360,39,472,555,269,
157,490,74,327,545,384,187,375)(30,469,557,265,174,477,70,334,537,400,
179,367,35,464,572,255,169,482,65,349,527,395,184,362,50,454,567,260,
164,497,55,344,532,390,199,352,45,459,562,275,154,492,60,339,547,380,
194,357,40,474,552,270,159,487,75,329,542,385,189,372)(76,591,506,136,
246,101,91,581,511,146,226,116,81,586,521,126,241,106,86,596,501,141,
231,111,96,576,516,131,236,121)(77,595,509,137,250,104,92,585,514,147,
230,119,82,590,524,127,245,109,87,600,504,142,235,114,97,580,519,132,
240,124)(78,593,508,138,248,103,93,583,513,148,228,118,83,588,523,128,
243,108,88,598,503,143,233,113,98,578,518,133,238,123)(79,592,510,139,
247,105,94,582,515,149,227,120,84,587,525,129,242,110,89,597,505,144,
232,115,99,577,520,134,237,125)(80,594,507,140,249,102,95,584,512,150,
229,117,85,589,522,130,244,107,90,599,502,145,234,112,100,579,517,135,
239,122)(276,416,431,311,296,401,441,306,286,421,426,316,281,411,446,301,
291,406,436,321)(277,420,434,312,300,404,442,310,289,422,430,319,282,415,
449,302,295,409,437,325,279,417,435,314,297,405,444,307,290,424,427,320,
284,412,450,304,292,410,439,322,280,419,432,315,299,402,445,309,287,425,
429,317,285,414,447,305,294,407,440,324)(278,418,433,313,298,403,443,308,
288,423,428,318,283,413,448,303,293,408,438,323),
(1,607,471,120,172,89,267,208,444,130,534,386,360,423,65,277,588,316,228,
574)(2,582,466,245,174,14,257,458,445,155,539,261,358,448,55,527,586,
366,248,74)(3,557,451,620,171,114,272,83,442,205,544,136,359,398,60,
402,590,291,238,324)(4,507,456,495,175,39,262,333,443,180,529,511,356,
498,75,27,587,341,243,199)(5,532,461,370,173,64,252,583,441,230,549,
11,357,473,70,152,589,266,233,449)(6,482,475,45,162,339,268,183,429,
505,531,486,375,48,62,327,593,191,229,524)(7,457,470,170,164,264,258,
433,430,530,536,361,373,73,52,577,591,241,249,24)(8,432,455,545,161,
364,273,58,427,580,541,236,374,23,57,452,595,166,239,274)
(9,382,460,420,165,289,263,308,428,555,526,611,371,123,72,77,592,216,
244,149)(10,407,465,295,163,314,253,558,426,605,546,111,372,98,67,202,
594,141,234,399)(12,332,468,195,154,514,256,483,450,30,537,336,368,198,
54,502,581,491,250,49)(13,307,453,570,151,614,271,108,447,80,542,211,
369,148,59,377,585,416,240,299)(15,282,463,320,153,564,251,608,446,105,
547,86,367,223,69,127,584,391,235,424)(16,232,474,20,157,464,270,158,
439,255,533,436,355,548,61,352,598,66,227,599)(17,207,469,145,159,389,
260,408,440,280,538,311,353,573,51,602,596,116,247,99)(18,182,454,520,
156,489,275,33,437,330,543,186,354,523,56,477,600,41,237,349)
(19,132,459,395,160,414,265,283,438,305,528,561,351,623,71,102,597,91,
242,224)(21,107,472,95,167,214,269,133,434,380,535,411,365,298,63,302,
578,566,226,624)(22,82,467,220,169,139,259,383,435,405,540,286,363,323,
53,552,576,616,246,124)(25,32,462,345,168,189,254,508,431,480,550,36,
362,348,68,177,579,516,231,499)(26,612,346,118,197,79,517,206,494,150,
34,387,335,418,190,279,513,306,478,575)(28,562,326,618,196,104,522,81,
492,225,44,137,334,393,185,404,515,281,488,325)(29,512,331,493,200)
(31,487,350,43,187,329,518,181,479,525)(35,412,340,293,188,304,503,556,
476,625,46,112,347,93,192,204,519,131,484,400)(37,337,343,193,179,504,
506,481,500,50)(38,312,328,568,176,604,521,106,497,100,42,212,344,143,
184,379,510,406,490,300)(40,287,338,318,178,554,501,606,496,125,47,87,
342,218,194,129,509,381,485,425)(76,617,221,119,147,84,392,210,419,140,
284,388,310,403,565,276,613,321,103,572)(78,567,201,619,146,109,397,85,
417,215,294,138,309,378,560,401,615,296,113,322)(88,317,203,569,126,609,
396,110,422,90,292,213,319,128,559,376,610,421,115,297)(92,217,219,144,
134,384,385,410,415,290,288,313,303,553,551,601,621,121,122,97)
(94,142,209,394,135,409,390,285,413,315,278,563,301,603,571,101,622,96,
117,222)]],
[40,829440000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.36",["A",5,4],
[(1,240,446,14,231,438,16,237,426,15,246,439,6,238,441,12,226,440,21,
239,431,13,241,437)(2,230,450,24,234,433,18,242,427,5,250,449,9,
233,443,17,227,430,25,249,434,8,243,442)(3,245,447,4,235,448,19,
232,428,20,247,429,10,248,444,7,228,445,22,229,435,23,244,432)
(11,236,436)(26,215,421,89,156,463,41,212,401,90,171,464,31,213,416,
87,151,465,46,214,406,88,166,462)(27,205,425,99,159,458,43,217,402,
80,175,474,34,208,418,92,152,455,50,224,409,83,168,467)
(28,220,422,79,160,473,44,207,403,95,172,454,35,223,419,82,153,470,
47,204,410,98,169,457)(29,210,423,94,157,453,45,222,404,85,173,469,
32,203,420,97,154,460,48,219,407,78,170,472)(30,225,424,84,158,468,
42,202,405,100,174,459,33,218,417,77,155,475,49,209,408,93,167,452)
(36,211,411,86,161,461)(37,201,415,96,164,456,38,216,412,76,165,471,
39,206,413,91,162,451,40,221,414,81,163,466)(51,140,496,64,131,488,
66,137,476,65,146,489,56,138,491,62,126,490,71,139,481,63,141,487)
(52,130,500,74,134,483,68,142,477,55,150,499,59,133,493,67,127,480,
75,149,484,58,143,492)(53,145,497,54,135,498,69,132,478,70,147,479,
60,148,494,57,128,495,72,129,485,73,144,482)(61,136,486)
(101,190,396,114,181,388,116,187,376,115,196,389,106,188,391,112,176,390,
121,189,381,113,191,387)(102,180,400,124,184,383,118,192,377,105,200,399,
109,183,393,117,177,380,125,199,384,108,193,392)(103,195,397,104,185,398,
119,182,378,120,197,379,110,198,394,107,178,395,122,179,385,123,194,382)
(111,186,386)(251,365,321,264,356,313,266,362,301,265,371,314,256,363,316,
262,351,315,271,364,306,263,366,312)(252,355,325,274,359,308,268,367,302,
255,375,324,259,358,318,267,352,305,275,374,309,258,368,317)
(253,370,322,254,360,323,269,357,303,270,372,304,260,373,319,257,353,320,
272,354,310,273,369,307)(261,361,311)(276,340,296,339,281,338,291,337)
(277,330,300,349,284,333,293,342)(278,345,297,329,285,348,294,332)
(279,335,298,344,282,328,295,347)(280,350,299,334,283,343,292,327)(286,336)
(287,326,290,346,289,331,288,341)(501,615,571,514,606,563,516,612,551,515,
621,564,506,613,566,512,601,565,521,614,556,513,616,562)(502,605,575,524,
609,558,518,617,552,505,625,574,509,608,568,517,602,555,525,624,559,508,
618,567)(503,620,572,504,610,573,519,607,553,520,622,554,510,623,569,507,
603,570,522,604,560,523,619,557)(511,611,561)(526,590,546,589,531,588,541,
587)(527,580,550,599,534,583,543,592)(528,595,547,579,535,598,544,582)
(529,585,548,594,532,578,545,597)(530,600,549,584,533,593,542,577)(536,586)
(537,576,540,596,539,581,538,591),
(1,287,494,130,322,616,160,74,511,407,104,265,442,226,300,569,131,47,614,
385,52,361,420,179,271,542,234,25,562,481,30,314,391,152,374,520,182,
121,540,434)(2,362,495,180,321,541,159,24,512,482,105,315,441,151,299,
519,132,122,615,435,51,286,419,129,272,617,235,75,561,406,29,264,392,
227,375,570,181,46,539,384)(3,337,493,205,323,591,158,99,513,457,103,
340,443,201,298,594,133,97,613,460,53,336,418,204,273,592,233,100,563,
456,28,339,393,202,373,595,183,96,538,459)(4,262,492,230,325,566,156,
49,514,382,102,365,445,176,296,544,134,22,612,485,55,311,416,154,274,
517,232,125,565,431,26,289,394,127,372,620,185,71,536,409)
(5,312,491,155,324,516,157,124,515,432,101,290,444,126,297,619,135,72,
611,410,54,261,417,229,275,567,231,50,564,381,27,364,395,177,371,545,
184,21,537,484)(6,37,489,380,302,366,170,199,521,532,109,15,437,476,
280,319,141,172,624,510,57,111,415,429,251,292,244,150,572,606,35,64,
386,402,354,270,192,246,550,559)(7,112,490,430,301,291,169,149,522,607,
110,65,436,401,279,269,142,247,625,560,56,36,414,379,252,367,245,200,
571,531,34,14,387,477,355,320,191,171,549,509)(8,87,488,455,303,341,
168,224,523,582,108,90,438,451,278,344,143,222,623,585,58,86,413,454,
253,342,243,225,573,581,33,89,388,452,353,345,193,221,548,584)
(9,12,487,480,305,316,166,174,524,507,107,115,440,426,276,294,144,147,
622,610,60,61,411,404,254,267,242,250,575,556,31,39,389,377,352,370,
195,196,546,534)(10,62,486,405,304,266,167,249,525,557,106,40,439,376,
277,369,145,197,621,535,59,11,412,479,255,317,241,175,574,506,32,114,
390,427,351,295,194,146,547,609)(13,462,478,330,318,216,173,599,508,82,
113,465,428,326,293,219,148,597,608,85,63,461,403,329,268,217,248,600,
558,81,38,464,378,327,368,220,198,596,533,84)(16,162,499,505,307,116,
165,449,501,282,119,140,447,601,285,69,136,422,604,260,67,236,425,554,
256,42,239,400,552,356,45,189,396,527,359,20,187,496,530,309)
(17,237,500,555,306,41,164,399,502,357,120,190,446,526,284,19,137,497,
605,310,66,161,424,504,257,117,240,450,551,281,44,139,397,602,360,70,
186,421,529,259)(18,212,498,580,308,91,163,474,503,332,118,215,448,576,
283,94,138,472,603,335,68,211,423,579,258,92,238,475,553,331,43,214,
398,577,358,95,188,471,528,334)(23,587,483,80,313,466,153,349,518,207,
123,590,433,76,288,469,128,347,618,210,73,586,408,79,263,467,228,350,
568,206,48,589,383,77,363,470,178,346,543,209)(78,338,468,203,348,593,
208,98,588,458)(83,88,463,453,328,343,218,223,598,583)(93,213,473,578,
333)]],[41,829440000,0,"4c",[[16,1],[32,3],[256,2]],
1,"L2,4 on projective points^4.37",["A",5,4],
[(376,501)(377,502)(378,503)(379,504)(380,505)(381,506)(382,507)(383,508)
(384,509)(385,510)(386,511)(387,512)(388,513)(389,514)(390,515)(391,516)
(392,517)(393,518)(394,519)(395,520)(396,521)(397,522)(398,523)(399,524)
(400,525)(401,526)(402,527)(403,528)(404,529)(405,530)(406,531)(407,532)
(408,533)(409,534)(410,535)(411,536)(412,537)(413,538)(414,539)(415,540)
(416,541)(417,542)(418,543)(419,544)(420,545)(421,546)(422,547)(423,548)
(424,549)(425,550)(426,551)(427,552)(428,553)(429,554)(430,555)(431,556)
(432,557)(433,558)(434,559)(435,560)(436,561)(437,562)(438,563)(439,564)
(440,565)(441,566)(442,567)(443,568)(444,569)(445,570)(446,571)(447,572)
(448,573)(449,574)(450,575)(451,576)(452,577)(453,578)(454,579)(455,580)
(456,581)(457,582)(458,583)(459,584)(460,585)(461,586)(462,587)(463,588)
(464,589)(465,590)(466,591)(467,592)(468,593)(469,594)(470,595)(471,596)
(472,597)(473,598)(474,599)(475,600)(476,601)(477,602)(478,603)(479,604)
(480,605)(481,606)(482,607)(483,608)(484,609)(485,610)(486,611)(487,612)
(488,613)(489,614)(490,615)(491,616)(492,617)(493,618)(494,619)(495,620)
(496,621)(497,622)(498,623)(499,624)(500,625),
(3,4,5)(8,9,10)(13,14,15)(18,19,20)(23,24,25)(28,29,30)
(33,34,35)(38,39,40)(43,44,45)(48,49,50)(53,54,55)
(58,59,60)(63,64,65)(68,69,70)(73,74,75)(78,79,80)
(83,84,85)(88,89,90)(93,94,95)(98,99,100)(103,104,105)
(108,109,110)(113,114,115)(118,119,120)(123,124,125)(128,129,130)
(133,134,135)(138,139,140)(143,144,145)(148,149,150)(153,154,155)
(158,159,160)(163,164,165)(168,169,170)(173,174,175)(178,179,180)
(183,184,185)(188,189,190)(193,194,195)(198,199,200)(203,204,205)
(208,209,210)(213,214,215)(218,219,220)(223,224,225)(228,229,230)
(233,234,235)(238,239,240)(243,244,245)(248,249,250)(253,254,255)
(258,259,260)(263,264,265)(268,269,270)(273,274,275)(278,279,280)
(283,284,285)(288,289,290)(293,294,295)(298,299,300)(303,304,305)
(308,309,310)(313,314,315)(318,319,320)(323,324,325)(328,329,330)
(333,334,335)(338,339,340)(343,344,345)(348,349,350)(353,354,355)
(358,359,360)(363,364,365)(368,369,370)(373,374,375)(378,379,380)
(383,384,385)(388,389,390)(393,394,395)(398,399,400)(403,404,405)
(408,409,410)(413,414,415)(418,419,420)(423,424,425)(428,429,430)
(433,434,435)(438,439,440)(443,444,445)(448,449,450)(453,454,455)
(458,459,460)(463,464,465)(468,469,470)(473,474,475)(478,479,480)
(483,484,485)(488,489,490)(493,494,495)(498,499,500)(503,504,505)
(508,509,510)(513,514,515)(518,519,520)(523,524,525)(528,529,530)
(533,534,535)(538,539,540)(543,544,545)(548,549,550)(553,554,555)
(558,559,560)(563,564,565)(568,569,570)(573,574,575)(578,579,580)
(583,584,585)(588,589,590)(593,594,595)(598,599,600)(603,604,605)
(608,609,610)(613,614,615)(618,619,620)(623,624,625),
(2,26)(3,51)(4,76)(5,101)(6,126)(7,151)(8,176)(9,201)
(10,226)(11,251)(12,276)(13,301)(14,326)(15,351)(16,376)(17,401)
(18,426)(19,451)(20,476)(21,501)(22,526)(23,551)(24,576)(25,601)
(28,52)(29,77)(30,102)(31,127)(32,152)(33,177)(34,202)(35,227)
(36,252)(37,277)(38,302)(39,327)(40,352)(41,377)(42,402)(43,427)
(44,452)(45,477)(46,502)(47,527)(48,552)(49,577)(50,602)(54,78)
(55,103)(56,128)(57,153)(58,178)(59,203)(60,228)(61,253)(62,278)
(63,303)(64,328)(65,353)(66,378)(67,403)(68,428)(69,453)(70,478)
(71,503)(72,528)(73,553)(74,578)(75,603)(80,104)(81,129)(82,154)
(83,179)(84,204)(85,229)(86,254)(87,279)(88,304)(89,329)(90,354)
(91,379)(92,404)(93,429)(94,454)(95,479)(96,504)(97,529)(98,554)
(99,579)(100,604)(106,130)(107,155)(108,180)(109,205)(110,230)(111,255)
(112,280)(113,305)(114,330)(115,355)(116,380)(117,405)(118,430)(119,455)
(120,480)(121,505)(122,530)(123,555)(124,580)(125,605)(132,156)(133,181)
(134,206)(135,231)(136,256)(137,281)(138,306)(139,331)(140,356)(141,381)
(142,406)(143,431)(144,456)(145,481)(146,506)(147,531)(148,556)(149,581)
(150,606)(158,182)(159,207)(160,232)(161,257)(162,282)(163,307)(164,332)
(165,357)(166,382)(167,407)(168,432)(169,457)(170,482)(171,507)(172,532)
(173,557)(174,582)(175,607)(184,208)(185,233)(186,258)(187,283)(188,308)
(189,333)(190,358)(191,383)(192,408)(193,433)(194,458)(195,483)(196,508)
(197,533)(198,558)(199,583)(200,608)(210,234)(211,259)(212,284)(213,309)
(214,334)(215,359)(216,384)(217,409)(218,434)(219,459)(220,484)(221,509)
(222,534)(223,559)(224,584)(225,609)(236,260)(237,285)(238,310)(239,335)
(240,360)(241,385)(242,410)(243,435)(244,460)(245,485)(246,510)(247,535)
(248,560)(249,585)(250,610)(262,286)(263,311)(264,336)(265,361)(266,386)
(267,411)(268,436)(269,461)(270,486)(271,511)(272,536)(273,561)(274,586)
(275,611)(288,312)(289,337)(290,362)(291,387)(292,412)(293,437)(294,462)
(295,487)(296,512)(297,537)(298,562)(299,587)(300,612)(314,338)(315,363)
(316,388)(317,413)(318,438)(319,463)(320,488)(321,513)(322,538)(323,563)
(324,588)(325,613)(340,364)(341,389)(342,414)(343,439)(344,464)(345,489)
(346,514)(347,539)(348,564)(349,589)(350,614)(366,390)(367,415)(368,440)
(369,465)(370,490)(371,515)(372,540)(373,565)(374,590)(375,615)(392,416)
(393,441)(394,466)(395,491)(396,516)(397,541)(398,566)(399,591)(400,616)
(418,442)(419,467)(420,492)(421,517)(422,542)(423,567)(424,592)(425,617)
(444,468)(445,493)(446,518)(447,543)(448,568)(449,593)(450,618)(470,494)
(471,519)(472,544)(473,569)(474,594)(475,619)(496,520)(497,545)(498,570)
(499,595)(500,620)(522,546)(523,571)(524,596)(525,621)(548,572)(549,597)
(550,622)(574,598)(575,623)(600,624),(2,126)(3,251)(4,376)(5,501)
(6,26)(7,151)(8,276)(9,401)(10,526)(11,51)(12,176)(13,301)
(14,426)(15,551)(16,76)(17,201)(18,326)(19,451)(20,576)(21,101)
(22,226)(23,351)(24,476)(25,601)(27,131)(28,256)(29,381)(30,506)
(32,156)(33,281)(34,406)(35,531)(36,56)(37,181)(38,306)(39,431)
(40,556)(41,81)(42,206)(43,331)(44,456)(45,581)(46,106)(47,231)
(48,356)(49,481)(50,606)(52,136)(53,261)(54,386)(55,511)(57,161)
(58,286)(59,411)(60,536)(62,186)(63,311)(64,436)(65,561)(66,86)
(67,211)(68,336)(69,461)(70,586)(71,111)(72,236)(73,361)(74,486)
(75,611)(77,141)(78,266)(79,391)(80,516)(82,166)(83,291)(84,416)
(85,541)(87,191)(88,316)(89,441)(90,566)(92,216)(93,341)(94,466)
(95,591)(96,116)(97,241)(98,366)(99,491)(100,616)(102,146)(103,271)
(104,396)(105,521)(107,171)(108,296)(109,421)(110,546)(112,196)(113,321)
(114,446)(115,571)(117,221)(118,346)(119,471)(120,596)(122,246)(123,371)
(124,496)(125,621)(128,252)(129,377)(130,502)(132,152)(133,277)(134,402)
(135,527)(137,177)(138,302)(139,427)(140,552)(142,202)(143,327)(144,452)
(145,577)(147,227)(148,352)(149,477)(150,602)(153,257)(154,382)(155,507)
(158,282)(159,407)(160,532)(162,182)(163,307)(164,432)(165,557)(167,207)
(168,332)(169,457)(170,582)(172,232)(173,357)(174,482)(175,607)(178,262)
(179,387)(180,512)(183,287)(184,412)(185,537)(188,312)(189,437)(190,562)
(192,212)(193,337)(194,462)(195,587)(197,237)(198,362)(199,487)(200,612)
(203,267)(204,392)(205,517)(208,292)(209,417)(210,542)(213,317)(214,442)
(215,567)(218,342)(219,467)(220,592)(222,242)(223,367)(224,492)(225,617)
(228,272)(229,397)(230,522)(233,297)(234,422)(235,547)(238,322)(239,447)
(240,572)(243,347)(244,472)(245,597)(248,372)(249,497)(250,622)(254,378)
(255,503)(258,278)(259,403)(260,528)(263,303)(264,428)(265,553)(268,328)
(269,453)(270,578)(273,353)(274,478)(275,603)(279,383)(280,508)(284,408)
(285,533)(288,308)(289,433)(290,558)(293,333)(294,458)(295,583)(298,358)
(299,483)(300,608)(304,388)(305,513)(309,413)(310,538)(314,438)(315,563)
(318,338)(319,463)(320,588)(323,363)(324,488)(325,613)(329,393)(330,518)
(334,418)(335,543)(339,443)(340,568)(344,468)(345,593)(348,368)(349,493)
(350,618)(354,398)(355,523)(359,423)(360,548)(364,448)(365,573)(369,473)
(370,598)(374,498)(375,623)(380,504)(384,404)(385,529)(389,429)(390,554)
(394,454)(395,579)(399,479)(400,604)(405,509)(410,534)(414,434)(415,559)
(419,459)(420,584)(424,484)(425,609)(430,514)(435,539)(440,564)(444,464)
(445,589)(449,489)(450,614)(455,519)(460,544)(465,569)(470,594)(474,494)
(475,619)(480,524)(485,549)(490,574)(495,599)(500,624)(510,530)(515,555)
(520,580)(525,605)(540,560)(545,585)(550,610)(570,590)(575,615)(600,620),
(1,126,251)(2,127,252)(3,128,253)(4,129,254)(5,130,255)(6,131,256)
(7,132,257)(8,133,258)(9,134,259)(10,135,260)(11,136,261)
(12,137,262)(13,138,263)(14,139,264)(15,140,265)(16,141,266)
(17,142,267)(18,143,268)(19,144,269)(20,145,270)(21,146,271)
(22,147,272)(23,148,273)(24,149,274)(25,150,275)(26,151,276)
(27,152,277)(28,153,278)(29,154,279)(30,155,280)(31,156,281)
(32,157,282)(33,158,283)(34,159,284)(35,160,285)(36,161,286)
(37,162,287)(38,163,288)(39,164,289)(40,165,290)(41,166,291)
(42,167,292)(43,168,293)(44,169,294)(45,170,295)(46,171,296)
(47,172,297)(48,173,298)(49,174,299)(50,175,300)(51,176,301)
(52,177,302)(53,178,303)(54,179,304)(55,180,305)(56,181,306)
(57,182,307)(58,183,308)(59,184,309)(60,185,310)(61,186,311)
(62,187,312)(63,188,313)(64,189,314)(65,190,315)(66,191,316)
(67,192,317)(68,193,318)(69,194,319)(70,195,320)(71,196,321)
(72,197,322)(73,198,323)(74,199,324)(75,200,325)(76,201,326)
(77,202,327)(78,203,328)(79,204,329)(80,205,330)(81,206,331)
(82,207,332)(83,208,333)(84,209,334)(85,210,335)(86,211,336)
(87,212,337)(88,213,338)(89,214,339)(90,215,340)(91,216,341)
(92,217,342)(93,218,343)(94,219,344)(95,220,345)(96,221,346)
(97,222,347)(98,223,348)(99,224,349)(100,225,350)(101,226,351)
(102,227,352)(103,228,353)(104,229,354)(105,230,355)(106,231,356)
(107,232,357)(108,233,358)(109,234,359)(110,235,360)(111,236,361)
(112,237,362)(113,238,363)(114,239,364)(115,240,365)(116,241,366)
(117,242,367)(118,243,368)(119,244,369)(120,245,370)(121,246,371)
(122,247,372)(123,248,373)(124,249,374)(125,250,375)]],
[42,829440000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.38",["A",5,4],
[(1,109,439,575,297,343,128,6,484,440,550,292,218,126,106,489,565,547,342,203
)(2,84,429,75,299,318,148,256,483,390,535,417,220,151,116,239,561,622,
337,578)(3,9,434,450,300,293,143,131,481,490,540,542,217,201,101,114,
564,572,347,328)(4,59,449,325,298,268,133,381,485,415,545,167,216,226,
111,614,562,597,327,78)(5,34,444,200,296,368,138,506,482,465,530,42,
219,176,121,364,563,522,332,453)(7,459,430,50,294,193,146,356,488,515,
532,467,205,26,119,189,571,372,338,503)(8,384,435,425,295,168,141,231,
486,615,537,592,202,76,104,64,574,322,348,253)(10,409,445,175,291,243,
136,606,487,590,527,92,204,51,124,314,573,272,333,378)(11,609,437,600,
277,93,129,56,499,315,548,267,208,376,110,414,570,172,341,228)
(12,584,427,100,279,68,149,306,498,265,533,392,210,401,120,164,566,247,
336,603)(13,509,432,475,280,43,144,181,496,365,538,517,207,451,105,39,
569,197,346,353)(14,559,447,350,278,18,134,431,500,290,543,142,206,476,
115,539,567,222,326,103)(15,534,442,225,276,118,139,556,497,340,528,17,
209,426,125,289,568,147,331,478)(16,234,436,625,287,593,127,81,479,65,
549,317,223,251,108,389,560,422,345,153)(19,184,446,375,288,518,132,456,
480,40,544,192,221,351,113,514,557,472,330,28)(20,159,441,250,286,618,
137,581,477,90,529,67,224,301,123,264,558,397,335,403)(21,359,438,525,
282,468,130,31,494,190,546,367,213,501,107,464,555,47,344,178)
(22,334,428,25,284,443,150,281,493,140,531,492,215,526,117,214,551,122,
339,553)(23,259,433,400,285,418,145,156,491,240,536,617,212,576,102,89,
554,72,349,303)(24,309,448,275,283,393,135,406,495,165,541,242,211,601,
112,589,552,97,329,53)(27,94,179,71,374,313,523,257,458,380,35,419,
195,171,366,238,511,607,462,580)(29,69,199,321,373,263,508,382,460,405,
45,169,191,246,361,613,512,582,452,80)(30,44,194,196,371,363,513,507,
457,455)(32,469,180,46,369,188,521,357,463,505)(33,394,185,421,370,163,
516,232,461,605,37,594,177,96,354,63,524,307,473,255)(36,619,187,596,
352,88,504,57,474,305,48,269,183,396,360,413,520,157,466,230)
(38,519,182,471,355)(41,244,186,621,362,588,502,82,454,55,49,319,198,
271,358,388,510,407,470,155)(52,99,304,73,274,308,398,260,408,395,160,
416,245,161,616,237,586,602,87,579)(54,74,324,323,273,258,383,385,410,
420,170,166,241,236,611,612,587,577,77,79)(58,399,310,423,270,158,391,
235,411,620,162,591,227,86,604,62,599,302,98,254)(60,424,320,173,266,
233,386,610,412,595,152,91,229,61,624,312,598,252,83,379)
(66,249,311,623,262,583,377,85,404,70,174,316,248,261,608,387,585,402,
95,154),(1,129)(2,128)(3,127)(4,126)(5,130)(6,134)(7,133)
(8,132)(9,131)(10,135)(11,139)(12,138)(13,137)(14,136)(15,140)
(16,144)(17,143)(18,142)(19,141)(20,145)(21,149)(22,148)(23,147)
(24,146)(25,150)(26,204,101,154,76,229)(27,203,102,153,77,228)
(28,202,103,152,78,227)(29,201,104,151,79,226)(30,205,105,155,80,230)
(31,209,106,159,81,234)(32,208,107,158,82,233)(33,207,108,157,83,232)
(34,206,109,156,84,231)(35,210,110,160,85,235)(36,214,111,164,86,239)
(37,213,112,163,87,238)(38,212,113,162,88,237)(39,211,114,161,89,236)
(40,215,115,165,90,240)(41,219,116,169,91,244)(42,218,117,168,92,243)
(43,217,118,167,93,242)(44,216,119,166,94,241)(45,220,120,170,95,245)
(46,224,121,174,96,249)(47,223,122,173,97,248)(48,222,123,172,98,247)
(49,221,124,171,99,246)(50,225,125,175,100,250)(51,179)(52,178)
(53,177)(54,176)(55,180)(56,184)(57,183)(58,182)(59,181)(60,185)
(61,189)(62,188)(63,187)(64,186)(65,190)(66,194)(67,193)(68,192)
(69,191)(70,195)(71,199)(72,198)(73,197)(74,196)(75,200)
(251,504,376,254,501,379)(252,503,377,253,502,378)(255,505,380)
(256,509,381,259,506,384)(257,508,382,258,507,383)(260,510,385)
(261,514,386,264,511,389)(262,513,387,263,512,388)(265,515,390)
(266,519,391,269,516,394)(267,518,392,268,517,393)(270,520,395)
(271,524,396,274,521,399)(272,523,397,273,522,398)(275,525,400)
(276,579,476,279,576,479)(277,578,477,278,577,478)(280,580,480)
(281,584,481,284,581,484)(282,583,482,283,582,483)(285,585,485)
(286,589,486,289,586,489)(287,588,487,288,587,488)(290,590,490)
(291,594,491,294,591,494)(292,593,492,293,592,493)(295,595,495)
(296,599,496,299,596,499)(297,598,497,298,597,498)(300,600,500)
(301,554,426,304,551,429)(302,553,427,303,552,428)(305,555,430)
(306,559,431,309,556,434)(307,558,432,308,557,433)(310,560,435)
(311,564,436,314,561,439)(312,563,437,313,562,438)(315,565,440)
(316,569,441,319,566,444)(317,568,442,318,567,443)(320,570,445)
(321,574,446,324,571,449)(322,573,447,323,572,448)(325,575,450)
(326,604,401,329,601,404)(327,603,402,328,602,403)(330,605,405)
(331,609,406,334,606,409)(332,608,407,333,607,408)(335,610,410)
(336,614,411,339,611,414)(337,613,412,338,612,413)(340,615,415)
(341,619,416,344,616,419)(342,618,417,343,617,418)(345,620,420)
(346,624,421,349,621,424)(347,623,422,348,622,423)(350,625,425)
(351,529,451,354,526,454)(352,528,452,353,527,453)(355,530,455)
(356,534,456,359,531,459)(357,533,457,358,532,458)(360,535,460)
(361,539,461,364,536,464)(362,538,462,363,537,463)(365,540,465)
(366,544,466,369,541,469)(367,543,467,368,542,468)(370,545,470)
(371,549,471,374,546,474)(372,548,472,373,547,473)(375,550,475)]],
[43,829440000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.39",["A",5,4],
[(1,145,480,236,501,135,355,246)(2,220,479,161,503,185,352,221,4,170,478,
186,502,210,354,171,3,195,477,211,504,160,353,196)(5,245,476,136,505,
235,351,146)(6,270,500,111,516,385,365,621)(7,345,499,36,518,435,362,
596,9,295,498,61,517,460,364,546,8,320,497,86,519,410,363,571)
(10,370,496,11,520,485,361,521)(12,595,484,286,523,60,367,471,14,545,
483,311,522,85,369,421,13,570,482,336,524,35,368,446)(15,620,481,261,
525,110,366,396)(16,395,490,611,506,260,375,121)(17,470,489,536,508,310,
372,96,19,420,488,561,507,335,374,46,18,445,487,586,509,285,373,71)
(20,495,486,511,510,360,371,21)(22,95,494,411,513,560,357,346,24,45,
493,436,512,585,359,296,23,70,492,461,514,535,358,321)(25,120,491,386,
515,610,356,271)(26,143,430,237,576,134,280,248,51,142,455,239,526,133,
305,247,76,144,405,238,551,132,330,249)(27,218,429,162,578,184,277,223,
54,167,453,189,527,208,304,172,78,194,402,213,554,157,328,199)
(28,193,427,212,579,159,278,198,52,217,454,164,528,183,302,222,79,169,
403,188,552,207,329,174)(29,168,428,187,577,209,279,173,53,192,452,214,
529,158,303,197,77,219,404,163,553,182,327,224)(30,243,426,137,580,234,
276,148,55,242,451,139,530,233,301,147,80,244,401,138,555,232,326,149)
(31,268,450,112,591,384,290,623,56,267,475,114,541,383,315,622,81,269,
425,113,566,382,340,624)(32,343,449,37,593,434,287,598,59,292,473,64,
542,458,314,547,83,319,422,88,569,407,338,574)(33,318,447,87,594,409,
288,573,57,342,474,39,543,433,312,597,84,294,423,63,567,457,339,549)
(34,293,448,62,592,459,289,548,58,317,472,89,544,408,313,572,82,344,
424,38,568,432,337,599)(40,618,431,262,600,109,291,398,65,617,456,264,
550,108,316,397,90,619,406,263,575,107,341,399)(41,393,440,612,581,259,
300,123,66,392,465,614,531,258,325,122,91,394,415,613,556,257,350,124)
(42,468,439,537,583,309,297,98,69,417,463,564,532,333,324,47,93,444,
412,588,559,282,348,74)(43,443,437,587,584,284,298,73,67,467,464,539,
533,308,322,97,94,419,413,563,557,332,349,49)(44,418,438,562,582,334,
299,48,68,442,462,589,534,283,323,72,92,469,414,538,558,307,347,99)
(50,118,441,387,590,609,281,273,75,117,466,389,540,608,306,272,100,119,
416,388,565,607,331,274)(101,141,380,240,601,131,255,250)(102,216,379,165,
603,181,252,225,104,166,378,190,602,206,254,175,103,191,377,215,604,156,
253,200)(105,241,376,140,605,231,251,150)(106,266,400,115,616,381,265,625)
(116,391,390,615,606,256,275,125)(126,130,230,226)(127,205,229,151,128,180,
227,201,129,155,228,176)(152,203,179)(153,178,177,202,204,154),
(1,433,367,24,430,356,18,447,354,10,441,373,2,434,370,21,428,357,19,
450,351,8,442,374,5,431,368,22,429,360,16,448,352,9,445,371,3,
432,369,25,426,358,17,449,355,6,443,372,4,435,366,23,427,359,20,
446,353,7,444,375)(11,438,362,14,440,361,13,437,364,15,436,363,12,
439,365)(26,183,342,524,405,231,93,572,279,135,466,623,27,184,345,521,
403,232,94,575,276,133,467,624,30,181,343,522,404,235,91,573,277,134,
470,621,28,182,344,525,401,233,92,574,280,131,468,622,29,185,341,523,
402,234,95,571,278,132,469,625)(31,193,347,504,410,241,98,552,284,145,
471,603,32,194,350,501,408,242,99,555,281,143,472,604,35,191,348,502,
409,245,96,553,282,144,475,601,33,192,349,505,406,243,97,554,285,141,
473,602,34,195,346,503,407,244,100,551,283,142,474,605)(36,188,337,514,
415,236,88,562,289,140,461,613,37,189,340,511,413,237,89,565,286,138,
462,614,40,186,338,512,414,240,86,563,287,139,465,611,38,187,339,515,
411,238,87,564,290,136,463,612,39,190,336,513,412,239,90,561,288,137,
464,615)(41,198,327,509,420,246,78,557,294,150,451,608,42,199,330,506,
418,247,79,560,291,148,452,609,45,196,328,507,419,250,76,558,292,149,
455,606,43,197,329,510,416,248,77,559,295,146,453,607,44,200,326,508,
417,249,80,556,293,147,454,610)(46,178,332,519,425,226,83,567,299,130,
456,618,47,179,335,516,423,227,84,570,296,128,457,619,50,176,333,517,
424,230,81,568,297,129,460,616,48,177,334,520,421,228,82,569,300,126,
458,617,49,180,331,518,422,229,85,566,298,127,459,620)(51,308,267,399,
480,106,68,322,254,385,491,123,52,309,270,396,478,107,69,325,251,383,
492,124,55,306,268,397,479,110,66,323,252,384,495,121,53,307,269,400,
476,108,67,324,255,381,493,122,54,310,266,398,477,109,70,321,253,382,
494,125)(56,318,272,379,485,116,73,302,259,395,496,103,57,319,275,376,
483,117,74,305,256,393,497,104,60,316,273,377,484,120,71,303,257,394,
500,101,58,317,274,380,481,118,72,304,260,391,498,102,59,320,271,378,
482,119,75,301,258,392,499,105)(61,313,262,389,490,111,63,312,264,390,
486,113,62,314,265,386,488,112,64,315,261,388,487,114,65,311,263,387,
489,115)(151,208,592,549,155,206,593,547,154,210,591,548,152,209,595,546,
153,207,594,550)(156,218,597,529,160,216,598,527,159,220,596,528,157,219,
600,526,158,217,599,530)(161,213,587,539,165,211,588,537,164,215,586,538,
162,214,590,536,163,212,589,540)(166,223,577,534,170,221,578,532,169,225,
576,533,167,224,580,531,168,222,579,535)(171,203,582,544,175,201,583,542,
174,205,581,543,172,204,585,541,173,202,584,545),
(1,610,94,511,105,584,16,615,79,506,120,589)(2,607,92,512,102,582,17,
612,77,507,117,587)(3,608,93,513,103,583,18,613,78,508,118,588)
(4,606,95,514,101,585,19,611,80,509,116,590)(5,609,91,515,104,581,
20,614,76,510,119,586)(6,620,89,501,110,594,11,605,84,516,115,579)
(7,617,87,502,107,592,12,602,82,517,112,577)(8,618,88,503,108,593,
13,603,83,518,113,578)(9,616,90,504,106,595,14,601,85,519,111,580)
(10,619,86,505,109,591,15,604,81,520,114,576)(21,625,99,521,125,599)
(22,622,97,522,122,597)(23,623,98,523,123,598)(24,621,100,524,121,600)
(25,624,96,525,124,596)(26,535,44,536,30,534,41,540,29,531,45,539)
(27,532,42,537)(28,533,43,538)(31,545,39,526,35,544,36,530,34,541,
40,529)(32,542,37,527)(33,543,38,528)(46,550,49,546,50,549)
(47,547)(48,548)(51,560,69,561,55,559,66,565,54,556,70,564)
(52,557,67,562)(53,558,68,563)(56,570,64,551,60,569,61,555,59,566,
65,554)(57,567,62,552)(58,568,63,553)(71,575,74,571,75,574)
(72,572)(73,573)(126,235,219,136,230,209,141,240,204,131,245,214)
(127,232,217,137,227,207,142,237,202,132,242,212)(128,233,218,138,228,208,
143,238,203,133,243,213)(129,231,220,139,226,210,144,236,205,134,241,215)
(130,234,216,140,229,206,145,239,201,135,244,211)(146,250,224)(147,247,222)
(148,248,223)(149,246,225)(150,249,221)(151,160,169,161,155,159,166,165,154,
156,170,164)(152,157,167,162)(153,158,168,163)(171,175,174)
(176,185,194,186,180,184,191,190,179,181,195,189)(177,182,192,187)
(178,183,193,188)(196,200,199)(251,360,344,261,355,334,266,365,329,256,370,
339)(252,357,342,262,352,332,267,362,327,257,367,337)(253,358,343,263,353,
333,268,363,328,258,368,338)(254,356,345,264,351,335,269,361,330,259,366,
340)(255,359,341,265,354,331,270,364,326,260,369,336)(271,375,349)
(272,372,347)(273,373,348)(274,371,350)(275,374,346)(276,285,294,286,280,
284,291,290,279,281,295,289)(277,282,292,287)(278,283,293,288)(296,300,299)
(301,310,319,311,305,309,316,315,304,306,320,314)(302,307,317,312)
(303,308,318,313)(321,325,324)(376,485,469,386,480,459,391,490,454,381,495,
464)(377,482,467,387,477,457,392,487,452,382,492,462)(378,483,468,388,478,
458,393,488,453,383,493,463)(379,481,470,389,476,460,394,486,455,384,491,
465)(380,484,466,390,479,456,395,489,451,385,494,461)(396,500,474)
(397,497,472)(398,498,473)(399,496,475)(400,499,471)(401,410,419,411,405,
409,416,415,404,406,420,414)(402,407,417,412)(403,408,418,413)(421,425,424)
(426,435,444,436,430,434,441,440,429,431,445,439)(427,432,442,437)
(428,433,443,438)(446,450,449)]],
[44,1244160000,0,"4c",[[16,1],[96,1],[256,2]],1,
"L2,4 on projective points^4.40",["A",5,4],
[(1,140,8,400,509,376,139,3,150,508,396,514)(2,145,258,397,519,251,137,
18,275,507,391,264)(4,130,133,398,524,501,136,13,25,510,381,389)
(5,135,383,399,504,126,138,23,525,506,386,14)(6,390,9,380,134,378,
149,503,146,513,21,515)(7,395,259,377,144,253,147,518,271,512,16,265)
(10,385,384,379,129,128,148,523,521,511,11,15)(12,20,260,382,394,254,
127,143,273,522,516,261)(17,270,257,392,269,252,142,268,272,517,266,262)
(19,255,132,393,274,502,141,263,22,520,256,387)(24,505,131,388)
(26,165,33,425,534,401,164,28,175,533,421,539)(27,170,283,422,544,276,
162,43,300,532,416,289)(29,155,158,423,549,526,161,38,50,535,406,414)
(30,160,408,424,529,151,163,48,550,531,411,39)(31,415,34,405,159,403,
174,528,171,538,46,540)(32,420,284,402,169,278,172,543,296,537,41,290)
(35,410,409,404,154,153,173,548,546,536,36,40)(37,45,285,407,419,279,
152,168,298,547,541,286)(42,295,282,417,294,277,167,293,297,542,291,287)
(44,280,157,418,299,527,166,288,47,545,281,412)(49,530,156,413)
(51,215,58,475,559,451,189,78,200,583,446,589)(52,220,308,472,569,326,
187,93,325,582,441,339)(53,225,558,471,564,76,190,83,450,584,426,214)
(54,205,183,473,574,576,186,88,75,585,431,464)(55,210,433,474,554,201,
188,98,575,581,436,89)(56,465,59,455,184,453,199,578,196,588,71,590)
(57,470,309,452,194,328,197,593,321,587,66,340)(60,460,434,454,179,203,
198,598,571,586,61,90)(62,95,310,457,444,329,177,218,323,597,566,336)
(63,100,560,456,439,79,180,208,448,599,551,211)(64,80,185,458,449,579,
176,213,73,600,556,461)(65,85,435,459,429,204,178,223,573,596,561,86)
(67,345,307,467,319,327,192,343,322,592,316,337)(68,350,557,466,314,77,
195,333,447,594,301,212)(69,330,182,468,324,577,191,338,72,595,306,462)
(70,335,432,469,304,202,193,348,572,591,311,87)(74,580,181,463)
(81,440,84,430,209,428,224,553,221,563,96,565)(82,445,334,427,219,303,
222,568,346,562,91,315)(92,320,332,442,344,302,217,318,347,567,341,312)
(94,305,207,443,349,552,216,313,97,570,331,437)(99,555,206,438)
(101,240,108,500,609,476,239,103,250,608,496,614)(102,245,358,497,619,351,
237,118,375,607,491,364)(104,230,233,498,624,601,236,113,125,610,481,489)
(105,235,483,499,604,226,238,123,625,606,486,114)(106,490,109,480,234,478,
249,603,246,613,121,615)(107,495,359,477,244,353,247,618,371,612,116,365)
(110,485,484,479,229,228,248,623,621,611,111,115)(112,120,360,482,494,354,
227,243,373,622,616,361)(117,370,357,492,369,352,242,368,372,617,366,362)
(119,355,232,493,374,602,241,363,122,620,356,487)(124,605,231,488)(317,342),
(1,159,73,240,77,144,56,163,122,130,84,193,111,152,24,185,88,242)
(2,134,58,238,102,129,59,188,112,127,9,183,113,227,4,184,63,237)
(3,234,53,239,52,139,57,138,107,128,109,178,114,177,14,182,13,232)
(5,209,68,236,27,149,60,213,117,126,34,198,115,202,19,181,38,247)
(6,158,123,230,79,194,61,162,22,135,83,243,101,154,74,190,87,142)
(7,133,108,228,104,179,64,187,12,132,8,233,103,229,54,189,62,137)
(10,208,118,226,29,199,65,212,17,131,33,248,105,204,69,186,37,147)
(11,157,23,235,78,244,51,164,72,140,82,143,106,153,124,180,89,192)
(15,207,18,231,28,249,55,214,67,136,32,148,110,203,119,176,39,197)
(16,156,48,250,80,219,66,161,47,150,85,218,116,151,49,200,90,217)
(20,206,43,246,30,224,70,211,42,146,35,223,120,201,44,196,40,222)
(21,160,98,245,76,169,71,165,97,145,81,168,121,155,99,195,86,167)
(25,210,93,241,26,174,75,215,92,141,31,173,125,205,94,191,36,172)
(41,171,50,225,95,216)(45,221)(46,175,100,220,91,166)(96,170)
(251,534,448,365,577,394,306,538,497,255,584,443,361,527,399,310,588,492)
(252,509,433,363,602,379,309,563,487)(253,609,428,364,552,389,307,513,482)
(254,559,438,362,502,384,308,613,477)(256,533,498,355,579,444,311,537,397,
260,583,493,351,529,449,315,587,392)(257,508,483,353,604,429,314,562,387)
(258,608,478,354,554,439,312,512,382)(259,558,488,352,504,434,313,612,377)
(261,532,398,360,578,494,301,539,447,265,582,393,356,528,499,305,589,442)
(262,507,383,358,603,479,304,564,437)(263,607,378,359,553,489,302,514,432)
(264,557,388,357,503,484,303,614,427)(266,531,423,375,580,469,316,536,422,
275,585,468,366,526,424,325,590,467)(267,506,408,373,605,454,319,561,412,
272,510,458,368,601,404,324,565,462)(268,606,403,374,555,464,317,511,407,
273,610,453,369,551,414,322,515,457)(269,556,413,372,505,459,318,611,402,
274,560,463,367,501,409,323,615,452)(270,581,418,371,530,474,320,586,417,
271,535,473,370,576,419,321,540,472)(276,549,450,340,592,391,281,548,500,
330,594,441,286,547,400,335,593,491)(277,524,435,338,617,376,284,573,490,
327,519,431,288,622,380,334,568,486)(278,624,430,339,567,386,282,523,485,
328,619,426,289,572,390,332,518,481)(279,574,440,337,517,381,283,623,480,
329,569,436,287,522,385,333,618,476)(280,599,445,336,542,396,285,598,495,
326,544,446,290,597,395,331,543,496)(291,546,425,350,595,466)
(292,521,410,348,620,451,294,571,415,347,520,456,293,621,405,349,570,461)
(295,596,420,346,545,471)(296,550,475,345,591,416)(297,525,460,343,616,401,
299,575,465,342,516,406,298,625,455,344,566,411)(300,600,470,341,541,421),
(1,237,546,219,73,264,101,162,596,194,23,364,26,212,571,144,123,289,76,
187,521,244,48,339,51,137,621,169,98,314)(2,612,541,218,323,254,102,
537,591,193,273,354,27,587,566,143,373,279,77,562,516,243,298,329,52,
512,616,168,348,304)(3,362,526,217,573,269,103,287,576,192,523,369,28,
337,551,142,623,294,78,312,501,242,548,344,53,262,601,167,598,319)
(4,112,536,216,198,274,104,37,586,191,148,374,29,87,561,141,248,299,
79,62,511,241,173,349,54,12,611,166,223,324)(5,487,531,220,448,259,
105,412,581,195,398,359,30,462,556,145,498,284,80,437,506,245,423,334,
55,387,606,170,473,309)(6,240,421,209,75,389,106,165,471,184,25,489,
31,215,446,134,125,414,81,190,396,234,50,464,56,140,496,159,100,439)
(7,615,416,208,325,379,107,540,466,183,275,479,32,590,441,133,375,404,
82,565,391,233,300,454,57,515,491,158,350,429)(8,365,401,207,575,394,
108,290,451,182,525,494,33,340,426,132,625,419,83,315,376,232,550,469,
58,265,476,157,600,444)(9,115,411,206,200,399,109,40,461,181,150,499,
34,90,436,131,250,424,84,65,386,231,175,474,59,15,486,156,225,449)
(10,490,406,210,450,384,110,415,456,185,400,484,35,465,431,135,500,409,
85,440,381,235,425,459,60,390,481,160,475,434)(11,236,171,224,74,14,
111,161,221,199,24,114,36,211,196,149,124,39,86,186,146,249,49,89,
61,136,246,174,99,64)(13,361,151,222,574,19,113,286,201,197,524,119,
38,336,176,147,624,44,88,311,126,247,549,94,63,261,226,172,599,69)
(16,238,296,204,72,514,116,163,346,179,22,614,41,213,321,129,122,539,
91,188,271,229,47,589,66,138,371,154,97,564)(17,613,291,203,322,504,
117,538,341,178,272,604,42,588,316,128,372,529,92,563,266,228,297,579,
67,513,366,153,347,554)(18,363,276,202,572,519,118,288,326,177,522,619,
43,338,301,127,622,544,93,313,251,227,547,594,68,263,351,152,597,569)
(20,488,281,205,447,509,120,413,331,180,397,609,45,463,306,130,497,534,
95,438,256,230,422,584,70,388,356,155,472,559)(21,239,46,214,71,139,
121,164,96,189)(252,602,542,593,318,253,352,527,592,568,268,353,277,577,
567,518,368,278,327,552,517,618,293,328,302,502,617,543,343,303)
(255,477,532,595,443,258,355,402,582,570,393,358,280,452,557,520,493,283,
330,427,507,620,418,333,305,377,607,545,468,308)(257,605,417,583,320,378,
357,530,467,558,270,478,282,580,442,508,370,403,332,555,392,608,295,453,
307,505,492,533,345,428)(260,480,407,585,445,383,360,405,457,560,395,483,
285,455,432,510,495,408,335,430,382,610,420,458,310,380,482,535,470,433)
(267,603,292,578,317,503,367,528,342,553)(385,485,410,460,435)]],
[45,1658880000,0,"4c",[[16,1],[32,1],[64,1],[256,2]],1,
"L2,4 on projective points^4.41",["A",5,4],
[(1,361,162,382,110,280,126,486,37,257,235,405)(2,356,165,377,106,290,127,
481,40,252,231,415)(3,366,164,397,108,295,129,496,38,267,234,425)
(4,371,163,392,109,300,128,491,39,272,233,420)(5,351,161,387,107,285,
130,476,36,262,232,410)(6,365,152,381,115,277,131,490,27,256,240,402)
(7,360,155,376,111,287,132,485,30,251,236,412)(8,370,154,396,113,292,
134,500,28,266,239,422)(9,375,153,391,114,297,133,495,29,271,238,417)
(10,355,151,386,112,282,135,480,26,261,237,407)(11,362,157,385,105,276,
136,487,32,260,230,401)(12,357,160,380,101,286,137,482,35,255,226,411)
(13,367,159,400,103,291,139,497,33,270,229,421)(14,372,158,395,104,296,
138,492,34,275,228,416)(15,352,156,390,102,281,140,477,31,265,227,406)
(16,364,172,383,120,279,146,488,42,259,250,403)(17,359,175,378,116,289,
147,483,45,254,246,413)(18,369,174,398,118,294,149,498,43,269,249,423)
(19,374,173,393,119,299,148,493,44,274,248,418)(20,354,171,388,117,284,
150,478,41,264,247,408)(21,363,167,384,125,278,141,489,47,258,245,404)
(22,358,170,379,121,288,142,484,50,253,241,414)(23,368,169,399,123,293,
144,499,48,268,244,424)(24,373,168,394,124,298,143,494,49,273,243,419)
(25,353,166,389,122,283,145,479,46,263,242,409)(51,336,187,457,60,330,
176,461,62,332,185,455)(52,331,190,452,56,340,177,456,65,327,181,465)
(53,341,189,472,58,345,179,471,63,342,184,475)(54,346,188,467,59,350,
178,466,64,347,183,470)(55,326,186,462,57,335,180,451,61,337,182,460)
(66,339,197,458,70,329,196,463,67,334,200,453)(68,344,199,473)
(69,349,198,468)(71,338,192,459,75,328,191,464,72,333,195,454)
(73,343,194,474)(74,348,193,469)(76,311,212,432,85,305,201,436,87,307,
210,430)(77,306,215,427,81,315,202,431,90,302,206,440)(78,316,214,447,
83,320,204,446,88,317,209,450)(79,321,213,442,84,325,203,441,89,322,
208,445)(80,301,211,437,82,310,205,426,86,312,207,435)(91,314,222,433,
95,304,221,438,92,309,225,428)(93,319,224,448)(94,324,223,443)
(96,313,217,434,100,303,216,439,97,308,220,429)(98,318,219,449)
(99,323,218,444)(501,611,537,507,610,530)(502,606,540)(503,616,539,522,608,
545,504,621,538,517,609,550)(505,601,536,512,607,535)(506,615,527)
(508,620,529,521,613,542,509,625,528,516,614,547)(510,605,526,511,612,532)
(513,617,534,525,603,541,514,622,533,520,604,546)(515,602,531)
(518,619,549,523,618,544,524,623,543,519,624,548)(551,586,562,582,560,580)
(552,581,565,577,556,590)(553,591,564,597,558,595,554,596,563,592,559,600)
(555,576,561,587,557,585)(566,589,572,583,570,579,571,588,567,584,575,578)
(568,594,574,598)(569,599,573,593),(1,437,85,522,113,327,74,232)
(2,62,82,22,112,77,72,107)(3,312,84,147,111,452,75,607)
(4,187,81,397,115,577,73,357)(5,562,83,272,114,202,71,482)
(6,387,90,597,123,352,54,182)(7,12,87,97,122,102,52,57)
(8,262,89,222,121,477,55,557)(9,137,86,472,125,602,53,307)
(10,512,88,347,124,227,51,432)(11,462,100,622,103,302,59,132)
(13,337,99,247,101,427,60,507)(14,212,96,497,105,552,58,257)
(15,587,98,372,104,177,56,382)(16,412,95,547,118,277,69,157)
(17,37,92,47,117,27,67,32)(18,287,94,172,116,402,70,532)
(19,162,91,422,120,527,68,282)(20,537,93,297,119,152,66,407)
(21,487,80,572,108,252,64,207)(23,362,79,197,106,377,65,582)
(24,237,76,447,110,502,63,332)(25,612,78,322,109,127,61,457)
(26,442,35,517,38,342,49,242)(28,317,34,142,36,467,50,617)
(29,192,31,392,40,592,48,367)(30,567,33,267,39,217,46,492)
(41,417,45,542,43,292,44,167)(126,436,460,525,613,328,324,234)
(128,311,459,150,611,453,325,609)(129,186,456,400,615,578,323,359)
(130,561,458,275,614,203,321,484)(131,386,465,600,623,353,304,184)
(133,261,464,225,621,478,305,559)(134,136,461,475,625,603,303,309)
(135,511,463,350,624,228,301,434)(138,336,474,250,601,428,310,509)
(139,211,471,500,605,553,308,259)(140,586,473,375,604,178,306,384)
(141,411,470,550,618,278,319,159)(143,286,469,175,616,403,320,534)
(144,161,466,425,620,528,318,284)(145,536,468,300,619,153,316,409)
(146,486,455,575,608,253,314,209)(148,361,454,200,606,378,315,584)
(149,236,451,450,610,503,313,334)(151,441,410,520,538,343,299,244)
(154,191,406,395,540,593,298,369)(155,566,408,270,539,218,296,494)
(156,391,415,595,548,368,279,194)(158,266,414,220,546,493,280,569)
(160,516,413,345,549,243,276,444)(163,341,424,245,526,443,285,519)
(164,216,421,495,530,568,283,269)(165,591,423,370,529,193,281,394)
(166,416,420,545,543,293,294,169)(168,291,419,170,541,418,295,544)
(171,491,405,570,533,268,289,219)(173,366,404,195,531,393,290,594)
(174,241,401,445,535,518,288,344)(176,431,385,515,588,348,374,229)
(179,181,381,390,590,598,373,354)(180,556,383,265,589,223,371,479)
(183,256,389,215,596,498,355,554)(185,506,388,340,599,248,351,429)
(188,331,399,240,576,448,360,504)(189,206,396,490,580,573,358,254)
(190,581,398,365,579,198,356,379)(196,481,380,565,583,273,364,204)
(199,231,376,440,585,523,363,329)(201,446,485,505,563,333,274,239)
(205,571,483,255,564,208,271,489)(210,521,488,330,574,233,251,439)
(213,346,499,230,551,433,260,514)(214,221,496,480,555,558,258,264)
(224,246,476,430,560,508,263,339)(226,426,435,510,513,338,349,249)
(235,501,438,335,524,238,326,449),
(1,454,97,177,211,412,173,563,531,383,524,59)(2,204,87,152,213,537,158,
513,534,8,504,84)(3,579,82,127,214,37,153,588,532,133,514,34)
(4,79,77,202,212,162,163,538,533,508,509,9)(5,329,92,227,215,287,
168,613,535,258,519,109)(6,379,99,52,201,462,172,188,536,408,523,559)
(7,129,89,27,203,587,157,138,539,33,503,584)(10,254,94,102,205,337,
167,238,540,283,518,609)(11,404,98,552,206,387,174,63,526,458,522,184)
(12,154,88,527,208,512,159,13,529,83,502,209)(14,29,78,577,207,137,
164,38,528,583,507,134)(15,279,93,602,210,262,169,113,530,333,517,234)
(16,479,100,302,216,487,175,313,541,483,525,309)(17,229,90,277,218,612,
160,263,544,108,505,334)(18,604,85,252,219,112,155,338,542,233,515,284)
(19,104,80,327,217,237,165,288,543,608,510,259)(20,354,95,352,220,362,
170,363,545,358,520,359)(21,429,96,427,221,437,171,438,546,433,521,434)
(22,179,86,402,223,562,156,388,549,58,501,459)(23,554,81,377,224,62,
151,463,547,183,511,409)(24,54,76,452,222,187,161,413,548,558,506,384)
(25,304,91,477,225,312,166,488,550,308,516,484)(26,453,597,182,136,414,
48,553,581,382,149,64)(28,578,582,132,139,39)(30,328,592,232,140,289,
43,603,585,257,144,114)(31,378,599,57,126,464,47,178,586,407,148,564)
(32,128,589)(35,253,594,107,130,339,42,228,590,282,143,614)
(36,403,598,557,131,389,49,53,576,457,147,189)(40,278,593,607,135,264,
44,103,580,332,142,239)(41,478,600,307,141,489,50,303,591,482,150,314)
(45,353,595,357,145,364)(46,428,596,432,146,439)(51,451,472,197,186,411,
423,573,556,381,399,74)(55,326,467,247,190,286,418,623,560,256,394,124)
(56,376,474,72,176,461,422,198,561,406,398,574)(60,251,469,122,180,336,
417,248,565,281,393,624)(61,401,473,572,181,386,424,73,551,456,397,199)
(65,276,468,622,185,261,419,123,555,331,392,249)(66,476,475,322,191,486,
425,323,566,481,400,324)(67,226,465,297,193,611,410,273,569,106,380,349)
(68,601,460,272,194,111,405,348,567,231,390,299)(69,101,455,347,192,236,
415,298,568,606,385,274)(70,351,470,372,195,361,420,373,570,356,395,374)
(71,426,471,447,196,436,421,448,571,431,396,449)(75,301,466,497,200,311,
416,498,575,306,391,499)(105,330,342,242,240,290,293,618,610,260,269,119)
(110,255,344,117,230,340,292,243,615,285,268,619)(115,280,343,617,235,265,
294,118,605,335,267,244)(116,480,350,317,241,490,300,318,616,485,275,319)
(120,355,345,367,245,365,295,368,620,360,270,369)(121,430,346,442,246,440,
296,443,621,435,271,444)(125,305,341,492,250,315,291,493,625,310,266,494)
(316,491,500,325)(320,366,495,375)(321,441,496,450)(371,445)]],
[46,2488320000,0,"4c",[[16,1],[96,1],[256,2]],1,
"L2,4 on projective points^4.42",["A",5,4],
[(1,316,161,456,521,351,61,216,531,376,321,236,81,516,276,436,221,606)
(2,318,162,458,522,353,62,218,532,378,322,238,82,518,277,438,222,608)
(3,317,163,457,523,352,63,217,533,377,323,237,83,517,278,437,223,607)
(4,319,164,459,524,354,64,219,534,379,324,239,84,519,279,439,224,609)
(5,320,165,460,525,355,65,220,535,380,325,240,85,520,280,440,225,610)
(6,266,286,461,596,601,51,191,156,381,271,361,86,591,526,426,196,231)
(7,268,287,463,597,603,52,193,157,383,272,363,87,593,527,428,197,233)
(8,267,288,462,598,602,53,192,158,382,273,362,88,592,528,427,198,232)
(9,269,289,464,599,604,54,194,159,384,274,364,89,594,529,429,199,234)
(10,270,290,465,600,605,55,195,160,385,275,365,90,595,530,430,200,235)
(11,341,536,451,571,226,56,141,281,386,346,611,76,566,151,431,146,356)
(12,343,537,453,572,228,57,143,282,388,347,613,77,568,152,433,147,358)
(13,342,538,452,573,227,58,142,283,387,348,612,78,567,153,432,148,357)
(14,344,539,454,574,229,59,144,284,389,349,614,79,569,154,434,149,359)
(15,345,540,455,575,230,60,145,285,390,350,615,80,570,155,435,150,360)
(16,291,411,471,621,101,66,166,406,396,371,111,91,541,401,446,246,106)
(17,293,412,473,622,103,67,168,407,398,372,113,92,543,402,448,247,108)
(18,292,413,472,623,102,68,167,408,397,373,112,93,542,403,447,248,107)
(19,294,414,474,624,104,69,169,409,399,374,114,94,544,404,449,249,109)
(20,295,415,475,625,105,70,170,410,400,375,115,95,545,405,450,250,110)
(21,366,36,466,546,476,71,241,31,391,296,486,96,616,26,441,171,481)
(22,368,37,468,547,478,72,243,32,393,297,488,97,618,27,443,172,483)
(23,367,38,467,548,477,73,242,33,392,298,487,98,617,28,442,173,482)
(24,369,39,469,549,479,74,244,34,394,299,489,99,619,29,444,174,484)
(25,370,40,470,550,480,75,245,35,395,300,490,100,620,30,445,175,485)
(41,416,421,496,121,116)(42,418,422,498,122,118)(43,417,423,497,123,117)
(44,419,424,499,124,119)(45,420,425,500,125,120)(46,491)(47,493)
(48,492)(49,494)(50,495)(126,306,136,331,511,326,561,201,556)
(127,308,137,333,512,328,562,203,557,128,307,138,332,513,327,563,202,558)
(129,309,139,334,514,329,564,204,559)(130,310,140,335,515,330,565,205,560)
(131,256,261,336,586,576,551,176,181)(132,258,262,338,587,578,552,178,182,
133,257,263,337,588,577,553,177,183)(134,259,264,339,589,579,554,179,184)
(135,260,265,340,590,580,555,180,185)(186,206,506,251,311,211,581,501,301)
(187,208,507,253,312,213,582,503,302,188,207,508,252,313,212,583,502,303)
(189,209,509,254,314,214,584,504,304)(190,210,510,255,315,215,585,505,305),
(1,620,451,145,351,95,501,495,201,270,101,595,376,245,326,20,601,470,126,
370,76,520,476,220,251,120,576,395,226,345)(2,610,452,135,352,85,502,
485,202,260,102,585,377,235,327,10,602,460,127,360,77,510,477,210,252,
110,577,385,227,335)(3,615,454,150,353,90,504,500,203,265,104,600,378,
240,329,25,603,465,129,375,78,515,479,225,253,115,579,400,228,340,4,
625,453,140,354,100,503,490,204,275,103,590,379,250,328,15,604,475,128,
365,79,525,478,215,254,125,578,390,229,350)(5,605,455,130,355,80,505,
480,205,255,105,580,380,230,330)(6,617,456,142,356,92,506,492,206,267,
106,592,381,242,331,17,606,467,131,367,81,517,481,217,256,117,581,392,
231,342)(7,607,457,132,357,82,507,482,207,257,107,582,382,232,332)
(8,612,459,147,358,87,509,497,208,262,109,597,383,237,334,22,608,462,
134,372,83,512,484,222,258,112,584,397,233,337,9,622,458,137,359,97,
508,487,209,272,108,587,384,247,333,12,609,472,133,362,84,522,483,212,
259,122,583,387,234,347)(11,619,471,143,361,94,521,493,211,269,121,593,
386,244,346,18,611,469,146,368,86,519,496,218,261,119,596,393,236,344,
21,618,461,144,371,93,511,494,221,268,111,594,396,243,336,19,621,468,
136,369,96,518,486,219,271,118,586,394,246,343)(13,614,474,148,363,89,
524,498,213,264,124,598,388,239,349,23,613,464,149,373,88,514,499,223,
263,114,599,398,238,339,24,623,463,139,374,98,513,489,224,273,113,589,
399,248,338,14,624,473,138,364,99,523,488,214,274,123,588,389,249,348)
(16,616,466,141,366,91,516,491,216,266,116,591,391,241,341)
(26,570,401,195,276,70,526,445,151,320)(27,560,402,185,277,60,527,435,
152,310)(28,565,404,200,278,65,529,450,153,315,29,575,403,190,279,75,
528,440,154,325)(30,555,405,180,280,55,530,430,155,305)(31,567,406,192,
281,67,531,442,156,317)(32,557,407,182,282,57,532,432,157,307)
(33,562,409,197,283,62,534,447,158,312,34,572,408,187,284,72,533,437,
159,322)(35,552,410,177,285,52,535,427,160,302)(36,569,421,193,286,69,
546,443,161,319,46,568,411,194,296,68,536,444,171,318)(37,559,422,183,
287,59,547,433,162,309,47,558,412,184,297,58,537,434,172,308)
(38,564,424,198,288,64,549,448,163,314,49,573,413,189,299,73,538,439,
174,323)(39,574,423,188,289,74,548,438,164,324,48,563,414,199,298,63,
539,449,173,313)(40,554,425,178,290,54,550,428,165,304,50,553,415,179,
300,53,540,429,175,303)(41,566,416,191,291,66,541,441,166,316)
(42,556,417,181,292,56,542,431,167,306)(43,561,419,196,293,61,544,446,
168,311,44,571,418,186,294,71,543,436,169,321)(45,551,420,176,295,51,
545,426,170,301)]],
[47,2488320000,0,"4c",[[16,1],[96,1],[256,2]],1,
"L2,4 on projective points^4.43",["A",5,4],
[(1,101,351,353,363,313,188,190,185,210,460,459,474,399,24,21)
(2,116,276,603,362,318,163,565,182,220,410,584,472,394,49,521)
(3,111,301,228,365,308,213,440,184,225,385,84,471,379,124,271)
(4,121,251,103,361,303,238,315,183,215,435,209,475,384,99,396)
(5,106,326,478,364,323,138,65,181,205,485,334,473,389,74,146)
(6,76,476,354,373,263,63,186,180,235,335,458,464,449,149,25)
(7,91,401,604,372,268,38,561,177,245,285,583,462,444,174,525)
(8,86,426,229,375,258,88,436,179,250,260,83,461,429,249,275)
(9,96,376,104,371,253,113,311,178,240,310,208,465,434,224,400)
(10,81,451,479,374,273,13,61,176,230,360,333,463,439,199,150)
(11,51,226,355,358,338,438,189,200,135,85,456,454,499,274,23)
(12,66,151,605,357,343,413,564,197,145,35,581,452,494,299,523)
(14,71,126,105,356,328,488,314,198,140,60,206,455,484,349,398)
(15,56,201,480,359,348,388,64,196,130,110,331,453,489,324,148)
(16,26,601,352,368,288,563,187,195,160,585,457,469,424,524,22)
(17,41,526,602,367,293,538,562,192,170,535,582,467,419,549,522)
(18,36,551,227,370,283,588,437,194,175,510,82,466,404,624,272)
(19,46,501,102,366,278,613,312,193,165,560,207,470,409,599,397)
(20,31,576,477,369,298,513,62,191,155,610,332,468,414,574,147)
(27,616,277,618,287,568,162,570,157,595,407,594,422,519,47,516)
(28,611,302,243,290,558,212,445,159,600,382,94,421,504,122,266)
(29,621,252,118,286,553,237,320,158,590,432,219,425,509,97,391)
(30,606,327,493,289,573,137,70,156,580,482,344,423,514,72,141)
(32,591,402,619,297,518,37,566,152,620,282,593,412,569,172,520)
(33,586,427,244,300,508,87,441,154,625,257,93,411,554,247,270)
(34,596,377,119,296,503,112,316,153,615,307,218,415,559,222,395)
(39,571,127,120,281,578,487,319,173,515,57,216,405,609,347,393)
(40,556,202,495,284,598,387,69,171,505,107,341,403,614,322,143)
(42,541,527,617,292,543,537,567,167,545,532,592,417,544,547,517)
(43,536,552,242,295,533,587,442,169,550,507,92,416,529,622,267)
(44,546,502,117,291,528,612,317,168,540,557,217,420,534,597,392)
(45,531,577,492,294,548,512,67,166,530,607,342,418,539,572,142)
(48,511,52,241,280,608,337,443,164,575,132,95,406,579,497,269)
(50,506,77,491,279,623,262,68,161,555,232,345,408,589,447,144)
(53,236,305,233,340,433,214,450,134,100,381,79,496,254,123,261)
(54,246,255,108,336,428,239,325,133,90,431,204,500,259,98,386)
(55,231,330,483,339,448,139,75,131,80,481,329,498,264,73,136)
(58,211,430,234,350,383,89,446,129,125,256,78,486,304,248,265)
(59,221,380,109,346,378,114,321,128,115,306,203,490,309,223,390),
(1,462,519,182,623,55,338,44,206,499,130,362,545,306,423)(2,587,569,183,
123,80,339,169,231,500,255,287,541,431,398)(3,87,594,184,248,105,340,
294,156,496,380,262,542,556,448)(4,212,619,185,373,30,336,419,131,497,
505,312,543,56,473)(5,337,544,181,498)(6,472,504,187,618,60,348,29,
211,494,135,372,530,311,418)(7,597,554,188,118,85,349,154,236,495,260,
297,526,436,393)(8,97,579,189,243,110,350,279,161,491,385,272,527,561,
443)(9,222,604,190,368,35,346,404,136,492,510,322,528,61,468)
(10,347,529,186,493)(11,467,509,197,603,65,343,34,221,479,140,367,535,
321,403)(12,592,559,198,103,90,344,159,246,480,265,292,531,446,378)
(13,92,584,199,228,115,345,284,171,476,390,267,532,571,428)
(14,217,609,200,353,40,341,409,146,477,515,317,533,71,453)
(15,342,534,196,478)(16,457,524,177,613,70,333,49,201,489,145,357,550,
301,413)(17,582,574,178,113,95,334,174,226,490,270,282,546,426,388)
(18,82,599,179,238,120,335,299,151,486,395,257,547,551,438)
(19,207,624,180,363,45,331,424,126,487,520,307,548,51,463)
(20,332,549,176,488)(21,452,514,192,608,75,328,39,216,484,150,352,540,
316,408)(22,577,564,193,108,100,329,164,241,485,275,277,536,441,383)
(23,77,589,194,233,125,330,289,166,481,400,252,537,566,433)
(24,202,614,195,358,50,326,414,141,482,525,302,538,66,458)
(25,327,539,191,483)(26,461,394,132,622,555,313,43,81,474,129,237,620,
310,298)(27,586,444,133,122,580,314,168,106,475,254,162,616,435,273)
(28,86,469,134,247,605,315,293,31,471,379,137,617,560,323)
(32,596,429,138,117,585,324,153,111,470,259,172,601,440,268)
(33,96,454,139,242,610,325,278,36,466,384,147,602,565,318)
(37,591,434,148,102,590,319,158,121,455,264,167,606,450,253)
(38,91,459,149,227,615,320,283,46,451,389,142,607,575,303)
(41,456,399,127,612,570,308,48,76,464,144,232,625,305,288)
(42,581,449,128,112,595,309,173,101,465,269,157,621,430,263)
(47,576,439,143,107,600,304,163,116,460,274,152,611,445,258)
(52,588,69,208,124,205,364,170,356,425,251,412,516,432,523)
(53,88,94,209,249,230,365,295,281,421,376,387,517,557,573)
(54,213,119,210,374,155,361,420,256,422,501,437,518,57,598)
(58,98,79,214,244,235,375,280,286,416,381,397,502,562,568)
(59,223,104,215,369,160,371,405,261,417,506,447,503,62,593)
(63,93,84,224,229,240,370,285,296,401,386,392,507,572,553)
(64,218,109,225,354,165,366,410,271,402,511,442,508,72,578)
(67,583,74,203,114,220,359,175,351,415,266,407,521,427,513)
(68,83,99,204,239,245,360,300,276,411,391,382,522,552,563)
(73,78,89,219,234,250,355,290,291,406,396,377,512,567,558)]],
[48,2488320000,0,"4c",[[16,1],[96,1],[256,2]],1,
"L2,4 on projective points^4.44",["A",5,4],
[(1,49,622,493,386,89,222,233,431,314,327,153,531,569,267,3,46,624,492,
388,86,224,232,433,311,329,152,533,566,269,2,48,621,494,387,88,221,
234,432,313,326,154,532,568,266,4,47,623,491,389,87,223,231,434,312,
328,151,534,567,268)(5,50,625,495,390,90,225,235,435,315,330,155,535,
570,270)(6,74,372,478,411,589,217,133,56,324,352,403,536,594,142,8,
71,374,477,413,586,219,132,58,321,354,402,538,591,144,7,73,371,479,
412,588,216,134,57,323,351,404,537,593,141,9,72,373,476,414,587,218,
131,59,322,353,401,539,592,143)(10,75,375,480,415,590,220,135,60,325,
355,405,540,595,145)(11,99,247,483,436,339,202,158,556,319,252,28,546,
619,392,13,96,249,482,438,336,204,157,558,316,254,27,548,616,394,12,
98,246,484,437,338,201,159,557,318,251,29,547,618,391,14,97,248,481,
439,337,203,156,559,317,253,26,549,617,393)(15,100,250,485,440,340,205,
160,560,320,255,30,550,620,395)(16,24,122,498,486,464,212,208,181,309,
302,278,526,544,517,18,21,124,497,488,461,214,207,183,306,304,277,528,
541,519,17,23,121,499,487,463,211,209,182,308,301,279,527,543,516,19,
22,123,496,489,462,213,206,184,307,303,276,529,542,518)(20,25,125,500,
490,465,215,210,185,310,305,280,530,545,520)(31,574,367,378,36,599,242,
383,61,349,227,408,561,344,127,33,571,369,377,38,596,244,382,63,346,
229,407,563,341,129,32,573,366,379,37,598,241,384,62,348,226,409,562,
343,126,34,572,368,376,39,597,243,381,64,347,228,406,564,342,128)
(35,575,370,380,40,600,245,385,65,350,230,410,565,345,130)
(41,524,117,398,111,474,237,458,186,334,177,283,551,294,502,43,521,119,
397,113,471,239,457,188,331,179,282,553,291,504,42,523,116,399,112,473,
236,459,187,333,176,284,552,293,501,44,522,118,396,114,472,238,456,189,
332,178,281,554,292,503)(45,525,120,400,115,475,240,460,190,335,180,285,
555,295,505)(51,299,602,418,511,94,147,108,446,364,452,163,581,194,257,
53,296,604,417,513,91,149,107,448,361,454,162,583,191,259,52,298,601,
419,512,93,146,109,447,363,451,164,582,193,256,54,297,603,416,514,92,
148,106,449,362,453,161,584,192,258)(55,300,605,420,515,95,150,110,450,
365,455,165,585,195,260)(66,274,102,423,611,469,137,83,196,359,427,288,
576,169,507,68,271,104,422,613,466,139,82,198,356,429,287,578,166,509,
67,273,101,424,612,468,136,84,197,358,426,289,577,168,506,69,272,103,
421,614,467,138,81,199,357,428,286,579,167,508)(70,275,105,425,615,470,
140,85,200,360,430,290,580,170,510)(76,174,607,443,261,79,172,608,441,
264,77,173,606,444,262,78,171,609,442,263)(80,175,610,445,265),
(1,88,455,443,551,513,5,93,451,438,555,518)(2,98,454,433,552,523,4,
83,452,448,554,508)(3,78,453,428,553,503)(6,87,475,444,556,512,25,
94,456,437,575,519)(7,97,474,434,557,522,24,84,457,447,574,509)
(8,77,473,429,558,502,23,79,458,427,573,504)(9,82,472,449,559,507,
22,99,459,432,572,524)(10,92,471,439,560,517,21,89,460,442,571,514)
(11,90,470,441,561,515,20,91,461,440,570,516)(12,100,469,431,562,525,
19,81,462,450,569,506)(13,80,468,426,563,505,18,76,463,430,568,501)
(14,85,467,446,564,510,17,96,464,435,567,521)(15,95,466,436,565,520,
16,86,465,445,566,511)(26,213,480,318,526,138,105,343,401,188,605,268)
(27,223,479,308,527,148,104,333,402,198,604,258)(28,203,478,303,528,128,
103,328,403,178,603,253)(29,208,477,323,529,133,102,348,404,183,602,273)
(30,218,476,313,530,143,101,338,405,193,601,263)(31,212,500,319,531,137,
125,344,406,187,625,269)(32,222,499,309,532,147,124,334,407,197,624,259)
(33,202,498,304,533,127,123,329,408,177,623,254)(34,207,497,324,534,132,
122,349,409,182,622,274)(35,217,496,314,535,142,121,339,410,192,621,264)
(36,215,495,316,536,140,120,341,411,190,620,266)(37,225,494,306,537,150,
119,331,412,200,619,256)(38,205,493,301,538,130,118,326,413,180,618,251)
(39,210,492,321,539,135,117,346,414,185,617,271)(40,220,491,311,540,145,
116,336,415,195,616,261)(41,211,490,320,541,136,115,345,416,186,615,270)
(42,221,489,310,542,146,114,335,417,196,614,260)(43,201,488,305,543,126,
113,330,418,176,613,255)(44,206,487,325,544,131,112,350,419,181,612,275)
(45,216,486,315,545,141,111,340,420,191,611,265)(46,214,485,317,546,139,
110,342,421,189,610,267)(47,224,484,307,547,149,109,332,422,199,609,257)
(48,204,483,302,548,129,108,327,423,179,608,252)(49,209,482,322,549,134,
107,347,424,184,607,272)(50,219,481,312,550,144,106,337,425,194,606,262)
(51,588,380,68,576,388,55,593,376,63,580,393)(52,598,379,58,577,398,
54,583,377,73,579,383)(53,578,378)(56,587,400,69,581,387,75,594,381,
62,600,394)(57,597,399,59,582,397,74,584,382,72,599,384)
(60,592,396,64,585,392,71,589,385,67,596,389)(61,590,395,66,586,390,
70,591,386,65,595,391)(151,238,355,293)(152,248,354,283)(153,228,353,278)
(154,233,352,298)(155,243,351,288)(156,237,375,294)(157,247,374,284)
(158,227,373,279)(159,232,372,299)(160,242,371,289)(161,240,370,291)
(162,250,369,281)(163,230,368,276)(164,235,367,296)(165,245,366,286)
(166,236,365,295)(167,246,364,285)(168,226,363,280)(169,231,362,300)
(170,241,361,290)(171,239,360,292)(172,249,359,282)(173,229,358,277)
(174,234,357,297)(175,244,356,287)]],
[49,4976640000,0,"4c",[[16,1],[96,1],[256,2]],1,
"L2,4 on projective points^4.45",["A",5,4],
[(1,159,22,484)(2,409)(3,284,12,459,5,534,17,434)(4,34,7,384)
(6,134,24,109)(8,259,14,84,10,509,19,59)(11,209,25,609,16,184,
23,359)(13,334,15,584,20,559,18,309)(21,234)(26,157,397,479)
(27,407,377,404)(28,282,387,454,30,532,392,429)(29,32,382,379)
(31,132,399,104)(33,257,389,79,35,507,394,54)(36,207,400,604,41,182,
398,354)(37,457,380,529,42,432,378,279)(38,332,390,579,45,557,393,304)
(39,82,385,504,44,57,383,254)(40,582,395,554,43,307,388,329)
(46,232,396,229)(47,482,376,154)(48,357,386,204,50,607,391,179)
(49,107,381,129)(51,158,272,489,76,160,522,494)(52,408,252,414,77,410,
502,419)(53,283,262,464,80,535,517,444)(55,533,267,439,78,285,512,469)
(56,133,274,114,81,135,524,119)(58,258,264,89,85,510,519,69)
(60,508,269,64,83,260,514,94)(61,208,275,614,91,185,523,369)
(62,458,255,539,92,435,503,294)(63,333,265,589,95,560,518,319)
(65,583,270,564,93,310,513,344)(66,183,273,364,86,210,525,619)
(67,433,253,289,87,460,505,544)(68,308,263,339,90,585,520,569)
(70,558,268,314,88,335,515,594)(71,233,271,239,96,235,521,244)
(72,483,251,164,97,485,501,169)(73,358,261,214,100,610,516,194)
(74,108,256,139,99,110,506,144)(75,608,266,189,98,360,511,219)
(101,156,147,499)(102,406,127,424)(103,281,137,474,105,531,142,449)
(106,131,149,124)(111,206,150,624,116,181,148,374)(112,456,130,549,117,431,
128,299)(113,331,140,599,120,556,143,324)(115,581,145,574,118,306,138,349)
(121,231,146,249)(122,481,126,174)(123,356,136,224,125,606,141,199)
(151,172,497,476)(152,422,477,401)(153,297,487,451,155,547,492,426)
(161,222,500,601,166,197,498,351)(162,472,480,526,167,447,478,276)
(163,347,490,576,170,572,493,301)(165,597,495,551,168,322,488,326)
(171,247,496,226)(173,372,486,201,175,622,491,176)(177,423,352,411,202,425,
602,416)(178,298,362,461,205,550,617,441)(180,548,367,436,203,300,612,466)
(186,223,375,611,216,200,623,366)(187,473,355,536,217,450,603,291)
(188,348,365,586,220,575,618,316)(190,598,370,561,218,325,613,341)
(191,198,373,361,211,225,625,616)(192,448,353,286,212,475,605,541)
(193,323,363,336,215,600,620,566)(195,573,368,311,213,350,615,591)
(196,248,371,236,221,250,621,241)(227,421)(228,296,237,471,230,546,242,446)
(238,346,240,596,245,571,243,321)(277,412,452,405,527,417,427,403)
(278,287,462,455,530,542,442,428)(280,537,467,430,528,292,437,453)
(288,337,465,580,545,567,443,303)(290,587,470,555,543,317,438,328)
(293,312,463,330,540,592,445,553)(295,562,468,305,538,342,440,578)
(302,413,327,415,577,420,552,418)(313,338,340,590,595,570,568,318)
(315,588,345,565,593,320,563,343),
(1,308,422,14,353,157,25,338,527,6,323,412,4,358,172,15,328,532,21,
313,402,9,373,162,5,333,547,11,303,407,24,363,152,10,348,537)
(2,258,297,12,253,282,22,263,277,7,273,287)(3,283,47,13,278,32,
23,288,27,8,298,37)(16,318,417,19,368,167,20,343,542)(17,268,292)
(18,293,42)(26,58,423,39,103,158,50,88,528,31,73,413,29,108,173,
40,78,533,46,63,403,34,123,163,30,83,548,36,53,408,49,113,153,
35,98,538)(28,33,48,38)(41,68,418,44,118,168,45,93,543)
(51,433,424,114,228,160,100,588,526,56,448,414,104,233,175,90,578,531,
71,438,404,109,248,165,80,583,546,61,428,409,124,238,155,85,598,536)
(52,383,299,112,128,285,97,513,276,57,398,289,102,133,300,87,503,281,
72,388,279,107,148,290,77,508,296,62,378,284,122,138,280,82,523,286)
(54,483,174,115,203,535,96,563,401,59,498,164,105,208,550,86,553,406,
74,488,154,110,223,540,76,558,421,64,478,159,125,213,530,81,573,411)
(55,458,549,111,178,410,99,613,151,60,473,539,101,183,425,89,603,156,
75,463,529,106,198,415,79,608,171,65,453,534,121,188,405,84,623,161)
(66,443,419,119,243,170,95,593,541)(67,393,294,117,143,295,92,518,291)
(69,493,169,120,218,545,91,568,416)(70,468,544,116,193,420,94,618,166)
(126,310,472,514,351,182,400,339,602,131,325,462,504,356,197,390,329,607,
146,315,452,509,371,187,380,334,622,136,305,457,524,361,177,385,349,612)
(127,260,347,512,251,307,397,264,352,132,275,337,502,256,322,387,254,357,
147,265,327,507,271,312,377,259,372,137,255,332,522,261,302,382,274,362)
(129,360,222,515,326,557,396,314,477,134,375,212,505,331,572,386,304,482,
149,365,202,510,346,562,376,309,497,139,355,207,525,336,552,381,324,487)
(130,335,597,511,301,432,399,364,227,135,350,587,501,306,447,389,354,232,
150,340,577,506,321,437,379,359,247,140,330,582,521,311,427,384,374,237)
(141,320,467,519,366,192,395,344,617)(142,270,342,517,266,317,392,269,367)
(144,370,217,520,341,567,391,319,492)(145,345,592,516,316,442,394,369,242)
(176,435,474,614,226,185,475,589,601,181,450,464,604,231,200,465,579,606,
196,440,454,609,246,190,455,584,621,186,430,459,624,236,180,460,599,611)
(179,485,224,615,201,560,471,564,476,184,500,214,605,206,575,461,554,481,
199,490,204,610,221,565,451,559,496,189,480,209,625,211,555,456,574,486)
(191,445,469,619,241,195,470,594,616)(194,495,219,620,216,570,466,569,491)
(205,585,596,561,426,434,499,239,230,210,600,586,551,431,449,489,229,235,
225,590,576,556,446,439,479,234,250,215,580,581,571,436,429,484,249,240)
(220,595,591,566,441,444,494,244,245)(252,257,272,262),
(1,367,458,175,54,266,482,223,30,319,381,247,78,295,434,146,102,343,410,
199)(2,368,460,174,51,267,483,225,29,316,382,248,80,294,431,147,103,
345,409,196)(3,370,459,171,52,268,485,224,26,317,383,250,79,291,432,
148,105,344,406,197)(4,366,457,173,55,269,481,222,28,320,384,246,77,
293,435,149,101,342,408,200)(5,369,456,172,53,270,484,221,27,318,385,
249,76,292,433,150,104,341,407,198)(6,372,453,170,59,271,477,218,35,
324,376,242,83,300,429,141,107,348,405,194)(7,373,455,169,56,272,478,
220,34,321,377,243,85,299,426,142,108,350,404,191)(8,375,454,166,57,
273,480,219,31,322,378,245,84,296,427,143,110,349,401,192)
(9,371,452,168,60,274,476,217,33,325,379,241,82,298,430,144,106,347,
403,195)(10,374,451,167,58,275,479,216,32,323,380,244,81,297,428,145,
109,346,402,193)(11,362,463,165,64,261,487,213,40,314,386,237,88,290,
439,136,112,338,415,189)(12,363,465,164,61,262,488,215,39,311,387,238,
90,289,436,137,113,340,414,186)(13,365,464,161,62,263,490,214,36,312,
388,240,89,286,437,138,115,339,411,187)(14,361,462,163,65,264,486,212,
38,315,389,236,87,288,440,139,111,337,413,190)(15,364,461,162,63,265,
489,211,37,313,390,239,86,287,438,140,114,336,412,188)(16,357,473,155,
69,256,497,203,45,309,396,227,93,285,449,126,117,333,425,179)
(17,358,475,154,66,257,498,205,44,306,397,228,95,284,446,127,118,335,
424,176)(18,360,474,151,67,258,500,204,41,307,398,230,94,281,447,128,
120,334,421,177)(19,356,472,153,70,259,496,202,43,310,399,226,92,283,
450,129,116,332,423,180)(20,359,471,152,68,260,499,201,42,308,400,229,
91,282,448,130,119,331,422,178)(21,352,468,160,74,251,492,208,50,304,
391,232,98,280,444,131,122,328,420,184)(22,353,470,159,71,252,493,210,
49,301,392,233,100,279,441,132,123,330,419,181)(23,355,469,156,72,253,
495,209,46,302,393,235,99,276,442,133,125,329,416,182)(24,351,467,158,
75,254,491,207,48,305,394,231,97,278,445,134,121,327,418,185)
(25,354,466,157,73,255,494,206,47,303,395,234,96,277,443,135,124,326,
417,183)(501,617,583,550,554,516,607,598,530,569,506,622,578,545,559,521,
602,593,535,574)(502,618,585,549,551,517,608,600,529,566,507,623,580,544,
556,522,603,595,534,571)(503,620,584,546,552,518,610,599,526,567,508,625,
579,541,557,523,605,594,531,572)(504,616,582,548,555,519,606,597,528,570,
509,621,577,543,560,524,601,592,533,575)(505,619,581,547,553,520,609,596,
527,568,510,624,576,542,558,525,604,591,532,573)(511,612,588,540,564)
(512,613,590,539,561)(513,615,589,536,562)(514,611,587,538,565)
(515,614,586,537,563)]],
[50,Factorial(625)/2,1,"2",[[624,1]],623,"A_n",["A",625,1],625],
[51,Factorial(625),0,"2",[[624,1]],625,"S_n",["A",625,1],625]];
PRIMGRP[626]:=
[[1,122070000,1,"2",[[625,1]],2,"L2,625 on projective points.1",
["L",[2,625],1],
[(3,625,623,621,619,617,615,613,611,609,607,605,603,26,600,598,596,594,592,
590,588,586,584,582,580,578,25,575,573,571,569,567,565,563,561,559,557,
555,553,24,550,548,546,544,542,540,538,536,534,532,530,528,23,525,523,
521,519,517,515,513,511,509,507,505,503,22,500,498,496,494,492,490,488,
486,484,482,480,478,6,475,473,471,469,467,465,463,461,459,457,455,453,
21,450,448,446,444,442,440,438,436,434,432,430,428,20,425,423,421,419,
417,415,413,411,409,407,405,403,19,400,398,396,394,392,390,388,386,384,
382,380,378,18,375,373,371,369,367,365,363,361,359,357,355,353,17,350,
348,346,344,342,340,338,336,334,332,330,328,5,325,323,321,319,317,315,
313,311,309,307,305,303,16,300,298,296,294,292,290,288,286,284,282,280,
278,15,275,273,271,269,267,265,263,261,259,257,255,253,14,250,248,246,
244,242,240,238,236,234,232,230,228,13,225,223,221,219,217,215,213,211,
209,207,205,203,12,200,198,196,194,192,190,188,186,184,182,180,178,4,
175,173,171,169,167,165,163,161,159,157,155,153,11,150,148,146,144,142,
140,138,136,134,132,130,128,10,125,123,121,119,117,115,113,111,109,107,
105,103,9,100,98,96,94,92,90,88,86,84,82,80,78,8,75,73,
71,69,67,65,63,61,59,57,55,53,7,50,48,46,44,42,40,38,
36,34,32,30,28)(27,626,624,622,620,618,616,614,612,610,608,606,604,
602,601,599,597,595,593,591,589,587,585,583,581,579,577,576,574,572,570,
568,566,564,562,560,558,556,554,552,551,549,547,545,543,541,539,537,535,
533,531,529,527,526,524,522,520,518,516,514,512,510,508,506,504,502,501,
499,497,495,493,491,489,487,485,483,481,479,477,476,474,472,470,468,466,
464,462,460,458,456,454,452,451,449,447,445,443,441,439,437,435,433,431,
429,427,426,424,422,420,418,416,414,412,410,408,406,404,402,401,399,397,
395,393,391,389,387,385,383,381,379,377,376,374,372,370,368,366,364,362,
360,358,356,354,352,351,349,347,345,343,341,339,337,335,333,331,329,327,
326,324,322,320,318,316,314,312,310,308,306,304,302,301,299,297,295,293,
291,289,287,285,283,281,279,277,276,274,272,270,268,266,264,262,260,258,
256,254,252,251,249,247,245,243,241,239,237,235,233,231,229,227,226,224,
222,220,218,216,214,212,210,208,206,204,202,201,199,197,195,193,191,189,
187,185,183,181,179,177,176,174,172,170,168,166,164,162,160,158,156,154,
152,151,149,147,145,143,141,139,137,135,133,131,129,127,126,124,122,120,
118,116,114,112,110,108,106,104,102,101,99,97,95,93,91,89,87,85,
83,81,79,77,76,74,72,70,68,66,64,62,60,58,56,54,52,51,
49,47,45,43,41,39,37,35,33,31,29),
(1,2,5)(3,4,6)(7,18,14)(8,22,9)(10,17,12)(11,25,24)
(15,26,19)(16,23,21)(27,304,348)(28,299,352)(29,122,528)
(30,440,209)(31,216,432)(32,79,568)(33,317,329)(34,529,116)
(35,239,405)(36,187,456)(37,495,148)(38,285,356)(39,391,250)
(40,126,514)(41,502,136)(42,245,393)(43,430,206)(44,45,591)
(46,294,340)(47,554,78)(48,534,98)(49,542,89)(50,552,77)
(51,374,255)(52,184,443)(53,553,73)(54,434,191)(55,291,333)
(56,370,253)(57,222,401)(58,103,518)(59,211,409)(60,278,341)
(61,296,323)(62,608,609)(63,507,109)(64,94,522)(65,141,474)
(66,421,193)(67,484,128)(68,371,241)(69,175,436)(70,489,121)
(71,464,145)(72,227,380)(74,264,342)(75,229,376)(76,369,235)
(80,446,153)(81,212,386)(82,91,506)(83,185,411)(84,120,476)
(85,574,621)(86,399,195)(87,268,325)(88,355,236)(90,162,427)
(92,110,477)(93,168,419)(95,384,201)(96,454,129)(97,180,402)
(99,606,575)(100,600,580)(101,603,576)(102,214,363)(104,231,344)
(105,420,154)(106,377,196)(107,302,270)(108,246,326)(111,604,564)
(112,287,280)(113,118,449)(114,410,155)(115,381,183)(117,138,425)
(119,605,555)(123,163,394)(124,619,537)(125,531,624)(127,266,286)
(130,218,331)(131,559,589)(132,165,382)(133,188,358)(134,225,321)
(135,550,595)(137,203,339)(139,527,613)(140,190,350)(142,256,281)
(143,263,274)(144,289,247)(146,590,544)(147,562,571)(149,360,171)
(150,310,220)(151,612,517)(152,335,192)(156,215,308)(157,230,292)
(158,616,505)(159,174,347)(160,338,181)(161,261,257)(164,583,532)
(166,265,249)(167,275,238)(169,586,525)(170,194,316)(172,208,300)
(173,307,200)(176,543,561)(177,533,569)(178,182,319)(179,512,588)
(186,205,288)(189,582,508)(197,466,617)(198,258,224)(199,557,524)
(202,237,240)(204,535,540)(207,573,500)(210,469,601)(213,623,444)
(217,478,584)(219,599,462)(221,437,622)(223,610,447)(226,491,563)
(228,515,536)(232,587,460)(233,548,499)(234,485,560)(242,468,570)
(243,539,498)(244,442,594)(248,414,618)(251,473,556)(252,431,596)
(254,567,458)(259,490,530)(260,408,611)(262,614,403)(267,441,572)
(269,558,452)(271,488,521)(272,538,470)(273,426,581)(276,547,457)
(277,424,578)(279,602,398)(282,585,412)(283,597,400)(284,577,418)
(290,439,551)(293,504,482)(295,465,520)(297,368,615)(298,565,417)
(301,354,625)(303,463,513)(305,349,626)(306,479,494)(309,422,549)
(311,389,579)(312,375,593)(313,359,607)(314,450,516)(315,493,472)
(318,501,461)(320,362,598)(322,435,523)(324,336,620)(327,407,545)
(328,385,566)(330,357,592)(332,428,519)(334,471,475)(337,459,483)
(343,503,433)(345,438,497)(346,480,453)(351,546,383)(353,445,481)
(361,423,496)(364,509,406)(365,448,467)(366,541,373)(367,387,526)
(372,397,511)(378,486,415)(379,390,510)(388,487,404)(392,492,396)
(395,455,429)(413,416,451)]],
[2,244140000,0,"2",[[625,1]],2,"L2,625 on projective points.2",
["L",[2,625],1],
[(1,291,35,332,370,14,49,208,162,414,59,170,197,610,69,435,282,19,86,
45,271,292,140,503,533,616,229,480,252,293,438,301,375,376,389,80,330,
574,201,182,417,568,131,283,43,592,453,149,18,103,198,539)
(2,617,358,452,179,407,102,564,513,273,425,588,139,374,355,582,226,476,
167,180,181,255,118,263,303,76,5,540,623,52,416,264,285,511,470,154,
274,121,487,546,359,386,497,142,394,348,507,304,186,224,521,265)
(3,279,441,396,456,401,156,431,144,352,189,96,124,577,74,385,9,344,
541,604,88,391,530,187,550,216,169,576,225,406,363,512,168,360,105,214,
472,538,145,138,211,53,207,194,239,439,382,598,372,448,286,253)
(4,561,199,133,12,475,402,222,82,600,247,390,249,584,120,566,157,346,
260,116,517,87,591,319,323,294,593,254,92,430,552,259,437,104,148,23,
287,221,41,322,329,505,63,499,510,315,579,22,38,599,420,236)
(6,489,328,141,409,608,520,544,192,272,173,366,607,298,583,267,66,97,
129,113,42,494,40,30,191,463,321,130,523,620,350,137,228,83,421,624,
10,299,245,217,240,395,300,462,457,77,609,64,404,152,458,48)
(7,450,485,585,428,519,397,205,488,569,215,413,377,449,326,209,528,243,
109,213,589,495,17,128,581,422,310,268,275,605,175,500,122,308,218,570,
393,290,465,597,114,176,602,433,306,524,594,509,238,151,101,110)
(8,337,353,112,477,368,336,356,622,491,280,314,619,535,278,392,183,371,
26,89,31,542,75,195,244,484,172,58,295,70,333,231,50,34,111,543,
410,560,424,466,60,555,324,55,531,483,177,28,305,398,545,471)
(11,492,547,478,99,94,256,161,316,339,311,257,429,532,135,473,327,419,
206,536,33,426,235,93,365,526,516,62,514,443,20,459,490,289,573,258,
549,190,383,284,364,612,36,548,147,415,227,67,79,508,98,403)
(13,234,515,335,269,29,408,21,119,297,603,126,464,16,563,262,233,237,
565,469,39,440,296,210,399,590,436,572,307,166,309,556,474,334,153,81,
354,423,357,595,379,320,136,557,518,54,25,241,46,57,493,51)
(15,529,302,270,108,184,558,174,117,317,362,349,502,345,418,411,618,84,
342,451,196,388,44,193,150,331,580,387,340,606,369,626,165,468,24,615,
212,454,171,482,578,432,460,367,203,412,125,400,155,100,160,115)
(27,347,230,107,178,143,341,587,68,351,159,37,127,571,71,106,504,446,
455,405,318,47,562,32,250,123,553,380,442,559,91,266,163,586,338,248,
434,56,381,551,281,288,246,134,575,427,204,61,567,343,447,313)
(65,534,200,220,188,78,444,202,219,479,85,611,158,251,527,378,73,625,
501,232,601,496,90,132,596,146,613,445,522,506,325,223,486,261,498,384,
72,312,361,481,614,525,467,554,185,373,164,277,621,537,242,276),
(1,387,64,280,57,503,347,578,419,273,517,61)(2,475,313,7,411,245,483,
112,173,24,166,449)(3,150,526,82,106,170,186,267,406,125,287,54)
(4,265,378,561,174,626,375,30,216,468,367,438)(5,154,550,531,443,263,
169,388,557,262,14,45)(6,268,546,444,172,405,157,293,271,181,163,283)
(8,354,488,360,336,236,558,96,323,190,141,348)(9,574,71,439,423,499,
368,258,217,591,294,394)(10,472,261,376,228,496,619,292,320,121,555,430)
(11,74,114,165,274,303,307,286,481,545,19,518)(12,202,576,127,238,251,
52,508,509,39,602,253)(13,385,575,616,564,418,37,416,277,252,84,505)
(15,66,90,171,48,282,289,371,403,92,225,583)(16,328,99,617,612,206,
554,431,441,51,384,136)(17,203,586,543,143,424,527,44,417,124,122,304)
(18,222,395,397,129,432,372,469,309,532,47,219)(20,537,541,425,182,386,
140,562,553,547,605,49)(21,95,53,145,463,43,614,243,455,235,56,512)
(22,590,94,584,179,365,399,382,624,504,213,622)(23,585,65,178,156,355,
312,381,285,278,544,118)(25,536,191,613,322,462,579,407,102,159,27,128)
(26,352,569,437,103,137,275,205,510,69,211,522)(28,317,227,573,321,257,
177,513,592,110,254,120)(29,369,514,379,420,91,589,123,198,480,493,250)
(31,113,132,492,498,55,409,401,70,606,515,489)(32,314,241,598,410,242,
316,593,201,329,337,310)(33,594,50,470,327,476,596,482,133,40,534,134)
(34,266,440,255,142,603,195,146,41,552,600,193)(35,549,88,383,390,233,
196,621,230,359,189,604)(36,38,601,223,207,42,495,377,370,300,566,144)
(46,434,100,620,311,305,68,77,490,551,111,479)(58,167,284,457,353,506,
67,599,559,151,73,158)(59,161,164,625,247,93,138,393,459,477,548,308)
(60,436,148,239,80,572,176,331,105,391,563,256)(62,147,618,364,221,491,
570,291,485,615,484,487)(63,187,72,85,79,135,231,318,324,595,373,587)
(75,281,366,226,404,471,259,209,333,597,270,447)(76,162,185,519,568,130,
442,184,567,119,299,340)(78,421,428,332,349,98,523,199,556,315,116,160)
(81,529,408,288,467,248,610,524,319,249,486,357)(83,325,343,577,215,414,
539,412,339,214,466,445)(86,334,530,454,452,358,188,400,607,109,192,538)
(87,363,244,422,478,149,108,344,413,511,302,220)(89,433,507,608,272,611,
494,298,342,361,153,398)(97,351,234,279,502,152,180,525,197,210,296,396)
(101,461,435,580,453,350,183,107,521,139,458,451)(115,465,535,246,297,240,
415,208,533,326,295,448)(117,402,341,474,224,380,429,290,175,500,338,456)
(131,301,528,473,446,581,389,306,276,582,218,542)(155,374,560,330,497,540,
571,450,426,356,464,427)(168,501,346,237,345,588,260,232,609,516,212,520)
(194,269,264,565,460,392,335,362,623,200,229,204)]],
[3,244140000,0,"2",[[625,1]],3,"L2,625 on projective points.3",
["L",[2,625],1],
[(1,454,69,9,438,500,158,48,464,101,136,7,96,88,252,301,357,361,8,
54,496,396,579,291,459,3,97,439,202,379,320,271,247,12,463,348,18,
473,24,470,334,157,313,456,351,184,89,522,60,153,345,297,377,591,514,
178,604,625,562,46,193,607,413,177,324,531,397,199,416,91,341,254,347,
44,613,121,308,618,261,427,410,6,327,570,119,491,543,507,131,67,155,
22,621,430,238,509,242,550,572,272,376,620,363,226,530,455,615,234,472,
70,111,122,253,527,319,391,72,371,209,589,276,139,284,113,251,57,78,
68,43,442,487,611,538,353,337,346,138,236,516,387,80,469,326,114,407,
278,558,56,449,457,441,256,183,307,352,11,10,116,137,544,81,510,55,
519,205,585,424,123,403,476,267,541,73,83,125,323,560,179,339,264,569,
431,175,419,523,223,245,552,285,556,364,174,293,39,127,63,287,14,303,
76,225,467,318,384,367,533,4,486,74,181,151,448,540,453,103,378,596,
398,263,471,617,381,187,26,149,232,170,190,616,280,203,417,498,450,41,
134,273,105,610,444,338,481,37,460,325,243,322,418,447,331,593,548,524,
475,415,592,355,98,168,335,503,215,399,299,140,118,433,437,494,542,106,
99,143,58,94,330,147,36,295,356,93,126,340,2,198,368,221,515,489,
112,185,526,260,598,388,53,423,474,304,394,145,573,478,577,286,277,169,
317,289,188,420,144,45,575,370,159,328,408,167,462,237,458,75,290,520,
154,452,566,443,110,13,426,29,300,192,79,436,567,493,314,488,195,206,
360,201,601,95,102,180,302,30,172,283,229,354,257,216,344,104,482,583,
315,262,362,282,156,350,146,117,502,64,547,230,553,590,608,244,23,176,
528,485,191,535,382,250,421,265,281,133,235,214,249,400,212,329,239,484,
86,595,612,409,333,343,218,161,124,66,405,255,142,446,109,294,210,536,
162,233,274,365,380,288,207,605,59,483,549,599,171,428,435,31,373,404,
173,160,166,224,19,270,497,87,231,42,296,518,129,47,132,411,392,240,
213,586,468,5,208,581,554,402,383,62,148,65,15,499,152,563,107,298,
525,393,571,28,34,622,390,422,163,359,366,624,196,246,311,135,189,587,
506,414,429,521,561,32,258,584,501,85,349,52,539,389,128,71,33,25,
21,461,385,182,200,108,310,555,465,582,395,546,580,559,61,513,529,374,
545,412,259,603,309,266,619,268,551,186,204,241,564,248,130,292,77,49,
445,38,512,432,532,479,211,312,90,451,578,537,440,565,511,623,164,492,
614,92,100,194,594,434,588,600,306,480,16,227,358,115,602,495,165,369,
568,84,17,228,342,40,275,504,120,336,557,332,27,386,466,35,425,220,
150,51,375,606,505,477,626,517,508,217,316,222,50,401,490,321,372,141,
406,197,534,269,609,82,305,279,574,20,597),
(1,468,95,495,399,417,619,342,116,57,548,264,312,137,257,414,551,30,160,
295,203,571,134,237,58,199,450,301,300,586,26,91,383,446,421,302,605,
166,35,305,329,293,44,589,221,502,574,132,351,525,74,428,259,538,122,
18,442,118,141,34,424,210,522,436,357,97,50,491,377,523,22,569,120,
380,15,327,454,77,316,322,262,11,13,352,129,540,299,12,303,111,314,
566,418,580,592,606,368,280,430,326,144,146,179,313,489,285,562,375,576,
198,72,379,64,226,309,185,457,28,232,193,564,493,420,604,20,156,484,
396,63,467,154,350,183,615,439,187,119,392,515,600,448,158,94,561,330,
519,526,270,298,153,231,261,340,582,461,469,496,509,234,159,617,323,255,
426,415,506,42,102,511,306,8,529,10,449,485,504,381,406,127,149,547,
539,281,541,133,247,213,242,608,453,84,87,7,623,108,423,567,148,107,
361,433,474,334,222,283,520,68,517,19,364,465,230,346,614,260,101,479,
176,219,531,217,622,590,279,189,53,172,513,16,173,23,324,405,278,162,
79,290,537,499,500,612,240,398,182,29,385,145,233,625,113,473,228,76,
460,618,246,358,359,321,568,178,96,579,452,534,331,85,556,345,86,204,
69,578,268,236,41,5,39,82,378,157,598,244,512,27,393,494,456,341,
190,338,575,36,524,384,425,497,151,110,291,435,150,235,206,171,174,404,
250,616,45,611,125,317,25,319,311,109,130,21,6,353,373,409,131,328,
181,24,347,155,216,17,443,432,602,535,241,99,624,349,362,389,397,276,
518,597,3,104,560,588,332,339,527,297,164,100,410,258,343,466,139,71,
419,243,75,508,103,391,195,462,374,9,431,253,438,365,294,65,626,229,
401,73,549,32,194,478,186,60,282,483,296,573,369,545,78,112,114,532,
427,577,490,14,266,277,440,292,544,147,554,56,559,318,128,505,31,106,
596,536,542,180,403,530,581,477,138,289,356,335,480,367,208,161,501,422,
336,48,434,224,117,140,416,481,136,320,599,429,184,333,507,126,284,355,
37,269,214,565,528,552,223,92,252,555,437,412,475,167,256,272,558,557,
408,59,200,621,124,287,54,563,98,227,307,444,601,121,546,594,310,201,
142,516,239,441,459,363,163,390,2,472,143,89,288,66,49,191,165,215,
609,83,273,464,202,207,220,595,388,170,572,271,308,245,123,168,486,402,
238,218,382,354,603,413,4,492,584,370,212,447,47,400,498,177,510,62,
407,395,533,265,33,251,70,344,337,152,591,482,275,371,61,553,248,387,
543,315,471,610,304,197,487,583,376,267,105,521,514,188,607,225,593,325,
463,451,196,348,80,360,458,211,411,46,488,274,366,81,445,254,503,476,
40,620,455,372,90,135,613,550,587,286,88,470,263,38,51,55,394,585,
175,249,43,93,67,209,192,570,169,115,386)]],
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["L",[2,625],1],
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238,329,243,555,387,358,427,364,101,488,285,565,145,430,503,134,154,484,
570,327,127,526,414,195,179,497,420,222,513,626,283,586,433,318,264,460,
317,198,617,463,337,200,386,25,560,522,188,278,20,63,260,161,218,155,
510,548,170,212,245,623,304,558,163,423,405,77,102,606,481,621,400,468,
426,130,89,281,295,54,536,302,351,298,625,96,215,184,39,309,477,587,
615,425,478,126,444,474,467,531,357,146,480,214,343,313,277,282,147,494,
549,254,532,441,13,511,10,436,588,162,607,263,151,284,431,518,119,242,
38,589,393,207,368,556,418,533,523,580,485)(2,131,36,94,83,199,60,
249,409,224,27,578,375,498,99,185,332,466,353,609,454,28,180,490,105,
390,176,84,362,68,123,470,334,339,303,274,402,136,471,259,85,150,143,
173,491,138,192,26,29,139,307,577,432,19,521,592,319,266,314,80,562,
322,335,527,486,191,149,217,596,135,610,514,539,211,194,453,58,312,594,
372,404,447,69,106,461,399,455,356,553,190,338,428,95,56,40,230,417,
279,153,600,419,300,156,352,299,183,30,333,591,103,395,197,120,437,422,
202,91,489,289,47,132,462,482,113,186,472,7,331,128,516,252,189,258,
229,61,374,287,378,415,465,614,529,345,543,509,270,380,575,540,181,595,
384,385,619,342,508)(3,220,142,429,205,561,438,452,583,572,37,286,166,
227,612,271,370,182,46,391,88,165,174,98,315,158,160,255,48,235,79,
159,524,505,554,157,493,213,350,367,620,552,613,265,324,257,369,144,573,
500,291,233,584,616,216,424,512,219,515,114,86,262,203,22,273,35,412,
496,141,51,23,308,90,566,476,121,204,581,344,115,413,354,530,502,9,
398,104,193,401,601,32,383,326,117,44,473,248,359,293,17,603,64,597,
250,267,403,124,459,62,111,93,457,537,381,569,361,456,458,16,519,443,
21,528,226,571,434,247,346,604,389,451,330,579,45,33,164,178,55,411,
187,475,397,590,116,557,14,410,268,396,608,221,349,206,365,59,501)
(4,244,97,65,6,167,328,363,506,72,504,551,388,464,495,392,210,209,
201,439,82,469,71,599,43,542,311,371,535,538,483,292,442,320,568,109,
408,544,100,446,70,582,52,563,336,559,593,239,355,251,67,360,76,576,
306,237,487,168,269,341,15,196,223,323,241,611,605,376,294,394,421,340,
276,348,449,129,379,310,41,541,256,550,366,261,377,624,57,280,53,564,
34,547,171,517,73,208,507,49,297,175,325,133,78,81,246,305,75,574,
618,546,148,534,177,416,407,406,225,122,152,228,66,112,545,110,253,288,
450,140,24,520,373,440,50,125,499,448,92,321,31,172,5,479,301,382,
234,316,137,290,445,585,296,525,169,118,492,567),
(1,197,325,123,315,56,109,602,342,335,23,284,291,148,418,91,73,235,94,
429,626,592,189,615,538,393,485,279,586,152,508,439,32,440,396,376,452,
426,299,417,453,593,30,39,45,606,304,309,387,341,456,97)
(2,545,540,146,609,388,92,333,17,100,366,157,543,562,98,93,544,138,
601,507,364,308,488,497,410,351,511,422,458,196,207,548,371,587,302,348,
324,474,578,577,105,420,470,150,54,476,287,202,81,318,72,399)
(3,217,143,493,400,605,213,216,155,464,90,405,336,208,539,74,283,301,
151,570,590,428,379,107,50,360,487,535,276,226,271,541,47,517,164,257,
18,218,468,339,558,5,436,133,513,28,472,4,262,499,554,95)
(6,280,140,612,531,392,611,600,607,245,618,114,35,522,259,555,596,52,
84,62,481,375,101,211,451,135,254,585,65,167,118,486,353,104,128,31,
7,514,125,154,285,181,450,248,71,252,204,594,286,519,382,173)
(8,229,267,411,79,261,64,185,459,622,163,334,573,344,212,441,266,475,
310,282,526,11,529,397,380,604,174,384,66,116,34,224,176,477,27,402,
198,144,42,149,160,215,26,242,574,482,238,365,314,292,205,510)
(9,161,169,305,352,249,237,112,447,61,193,394,580,340,277,274,413,200,
166,300,534,55,346,87,162,390,322,357,141,403,408,579,374,571,83,621,
431,556,68,557,349,244,563,117,24,603,446,381,106,404,69,567)
(10,241,156,183,33,597,187,253,168,370,329,442,496,134,469,525,58,483,
210,560,466,438,490,528,40,620,454,232,564,350,132,126,412,121,41,509,
589,347,581,617,153,406,53,246,582,113,569,457,293,60,435,306)
(12,445,131,433,260,48,222,328,624,565,505,313,15,623,478,588,377,255,
275,75,495,234,77,51,610,462,145,230,553,583,219,119,524,416,480,203,
536,550,250,159,533,44,444,227,383,295,311,327,372,290,231,551)
(13,614,367,110,559,192,572,326,307,547,502,111,76,272,566,345,172,268,
358,43,316,278,599,331,484,142,37,546,492,296,576,515,19,312,108,401,
115,137,99,361,273,378,190,389,337,385,182,465,102,256,448,520)
(14,178,386,139,319,479,22,455,122,171,619,461,518,36,120,289,491,568,
373,20,175,96,136,323,265,188,195,591,165,532,625,180,85,391,613,503,
552,179,463,16,147,498,460,220,516,368,473,263,177,70,443,57)
(21,298,598,281,78,288,194,595,521,421,247,504,25,359,419,512,523,398,
49,80,409,38,449,225,201,430,575,321,46,494,500,89,88,425,489,437,
258,29,303,170,434,549,239,294,297,214,63,59,608,206,251,124)
(67,362,228,330,209,223,363,616,240,467,270,471,561,86,103,130,427,184,
414,424,343,233,243,537,415,332,407,317,355,129,584,320,264,191,432,82,
542,158,356,423,506,395,530,236,186,354,338,199,527,369,501,221)(127,269)
]],
[5,488280000,0,"2",[[625,1]],3,"L2,625 on projective points.5",
["L",[2,625],1],
[(1,33,524,481,592,582,99,324,151,171,251,6,423,97,488,213,566,271,499,
428,279,375,134,48,254,432,339,41,43,25,496,578,515,581,112,557,81,
235,163,277,318,26,615,94,398,227,478,575,162,570,126,95,531,568,527,
435,528,330,421,156,172,164,377,513,210,16,587,366,158,357,487,243,109,
341,600,302,367,504,211,591,8,123,419,113,9,230,240,24,297,495,281,
536,520,45,597,584,539,480,167,363,3,150,365,102,413,273,223,586,379,
538,30,448,620,262,119,278,293,118,299,66,611,397,314,46,370,263,571,
475,80,265,191,565,72,469,187,58,333,315,417,220,226,194,344,149,269,
288,416,15,350,595,447,368,132,332,556,159,425,35,169,234,523,108,422,
246,28,614,403,442,77,387,438,427,408,155,205,21,549,216,400,244,526,
22,76,183,42,206,47,465,459,137,276,360,256,338,238,57,84,87,486,
192,250,622,71,409,53,497,609,378)(2,445,214,5,170,414,152,12,574,
31,337,136,139,166,585,485,567,463,548,86,364,358,4,617,181,40,148,
322,298,579,424,607,275,372,618,68,415,396,385,436,146,381,420,209,195,
577,19,115,301,589,54,188,399,64,267,491,91,455,18,228,474,547,407,
535,554,75,479,29,598,603,406,508,490,165,36,354,11,258,32,558,143,
349,252,560,453,177,509,20,212,157,525,105,530,545,104,561,203,376,193,
285,444,237,601,551,410,121,458,74,197,460,56,343,284,239,13,178,303,
287,542,328,23,272,583,593,122,110,404,101,147,232,612,319,456,521,224,
482,114,580,336,466,65,457,236,522,613,310,446,59,7,67,402,493,295,
388,296,255,292,128,98,253,61,249,345,596,426,129,208,222,505,546,60,
588,142,266,111,242,308,245,327,247,180,182,484,391,569,176,89,449,544,
395,325,552,257,610,335,10,401,347,573,52,73,500,125,241,231,342,300,190
)(14,130,51,451,179,541,516,405,201,346,492,355,512,135,92,55,268,489,
161,543,440,380,79,317,348,39,362,431,202,320,133,550,289,103,619,189,
540,464,517,411,553,384,602,207,454,498,69,353,441,606,260,233,17,96,
502,467,248,351,393,389,537,141,70,50,559,100,291,160,323,450,200,462,
138,605,261,196,305,507,229,437,390,175,219,483,117,529,116,107,294,106,
340,604,49,433,386,594,316,518,27,562,218,85,361,624,374,501,63,532,
124,264,174,153,82,286,434,430,473,576,356,321,127,472,590,563,217,382,
470,154,326,369,616,221,439,270,412,306,359,283,34,204,120,534,274,90,
503,621,392,461,184,476,506,144,443,383,280,62,334,555,168,131,88,311,
468,331,477,623,418,307,282,44,373,173,93,572,494,599,352,78,313,186,
608,625,83,511,394,259,626,38,533,309,452,371,514,290,185,198,564,429,
312,140,199,215,37,510,145,471,225,329),
(1,248,195,118,147,88,507,556,65,150,61,415,117,448,398,249,94,605,3,
184,62,561,239,19,253,93,302,424,318,44,135,505,533,238,596,144,604,
411,513,531,551,226,524,12,241,465,281,401)(2,619,452,182,493,591,210,
153,183,37,221,20,129,404,138,216,201,134,599,301,416,577,431,449,480,
71,495,232,72,552,107,10,40,621,336,262,617,100,73,119,69,353,13,
174,587,276,539,79)(4,508,142,202,193,323,520,590,70,496,558,228,548,
90,573,310,529,41,222,332,231,173,517,550,76,128,609,485,376,286,14,
319,429,584,308,177,443,46,81,616,203,486,575,333,178,269,322,532)
(5,83,439,45,354,583,479,510,180,606,311,106,484,123,30,492,537,574,
274,567,335,345,361,198,456,579,112,366,476,455,450,375,360,179,451,315,
47,409,372,116,25,280,164,190,331,110,99,324)(6,166,175,189,31,386,
261,9,390,294,442,377,481,566,346,268,514,521,515,625,417,59,136,461,
414,369,209,255,620,18,49,418,305,77,230,96,11,589,421,130,170,337,
237,53,137,487,602,378)(7,453,82,618,447,325,363,419,21,554,392,359,
562,278,626,368,501,154,50,536,215,389,463,167,169,160,565,242,271,611,
519,27,84,127,233,224,108,151,172,89,342,51,282,410,371,624,287,544)
(8,357,236,478,470,365,227,273,581,75,394,109,243,213,199,466,370,168,
601,356,259,440,246,32,469,348,211,545,272,568,571,355,225,247,43,80,
26,397,427,603,101,145,522,38,489,56,549,316)(15,380,194,615,585,34,
23,472,270,113,124,607,67,181,610,22,464,63,207,285,149,156,540,433,
457,600,196,518,588,329,95,307,350,97,104,580,367,143,29,24,384,115,
39,54,146,458,538,560)(16,598,563,317,516,219,165,220,244,388,483,252,
594,292,60,344,405,473,200,102,385,559,17,257,436,131,608,597,614,497,
387,564,48,313,98,582,155,503,586,428,413,85,612,114,391,525,339,320)
(28,312,266,445,288,396,139,309,444,297,229,406,494,438,208,299,256,158,
334,408,314,92,383,162,223,430,330,205,78,613,454,499,192,471,381,543,
293,275,188,206,300,260,623,267,68,393,141,547)(33,542,306,279,132,55,
91,403,509,511,163,351,462,420,523,400,265,477,488,526,475,240,133,504,
364,290,535,595,491,446,340,468,152,105,506,593,264,66,498,111,57,434,
185,546,245,441,212,352)(35,578,402,36,570,86,157,347,362,120,87,126,
283,298,374,382,284,349,258,534,622,328,277,74,373,140,399,251,460,490,
197,569,103,218,250,171,423,432,553,395,254,343,379,122,295,321,407,148)
(42,58,326,217,576,502,435,512,296,204,327,161,437,186,425,176,338,64,
289,214,422,541,187,592,341,557,467,412,474,555,527,159,459,530,191,52,
263,291,235,426,121,304,528,482,303,358,572,125)]],
[6,488280000,0,"2",[[625,1]],2,"L2,625 on projective points.6",
["L",[2,625],1],
[(1,170,18,437,606,466,489,53,626,519,272,613)(2,280,165,621,161,607,389,
322,180,237,383,35)(3,406,620,412,261,386,30,20,187,265,415,527)
(4,83,472,367,192,586,221,228,21,15,438,284)(5,270,264,576,509,457,
423,234,339,12,602,29)(6,534,496,551,251,391,382,32,19,148,317,34)
(7,26,223,623,531,394,125,511,99,341,254,326)(8,356,54,353,347,247,
302,388,224,618,624,112)(9,163,366,211,444,484,57,157,288,132,555,552)
(10,505,344,194,426,427,222,263,246,207,468,213)(11,217,31,365,465,117,
56,210,166,172,516,495)(13,411,67,573,408,525,153,299,146,188,119,260)
(14,159,397,291,559,45,248,470,150,587,348,404)(16,203,295,103,92,503,
442,510,36,144,245,201)(17,33,41,61,102,120,378,186,257,68,560,137)
(22,292,396,456,464,25,252,594,97,422,39,436)(23,236,189,494,488,152,
500,122,214,154,562,332)(24,28,38,522,545,358,455,401,580,490,575,380)
(27,289,571,98,200,182,561,514,142,113,473,191)(37,483,429,47,227,482,
278,123,535,577,355,181)(40,52,63,215,616,49)(42,584,372,612,306,300,
156,504,205,218,167,76)(43,517,242,430,283,585,235,169,583,329,206,540)
(44,480,219,403,250,145,608,398,59,581,477,622)(46,421,568,340,168,231,
309,249,312,129,178,301)(48,508,220,66,471,357,491,162,173,431,419,518)
(50,492,546,330,601,542,195,351,126,345,462,193)(51,58,364,274,497,233,
523,105,589,469,184,474)(55,60,550,109,73,541,179,266,418,361,506,337)
(62,229,532,320,564,346)(64,78,273,548,140,230,89,405,605,533,596,387)
(65,121,424,591,293,269,451,115,454,625,338,354)(69,88,313,143,106,255,
81,127,275,135,513,537)(70,520,373,604,570,177,93,498,615,409,478,74)
(71,95,529,190,79,485,84,104,342,151,435,324)(72,198,335,307,196,290,
595,425,432,136,610,528)(75,611,567,323,399,305,368,285,433,434,296,90)
(77,352,360,318,450,481,375,553,521,176,259,128)(80,110,590,86,118,563,
453,100,512,440,286,493)(82,363,617,85,597,449,268,499,463,336,321,343)
(87,536,374,315,101,310,96,349,294,385,204,566)(91,359,479,467,413,281,
258,441,582,579,362,557)(94,175,400,138,414,111,381,134,308,282,239,572)
(107,271,311,395,116,130,402,243,445,155,370,327)(108,407,598,392,253,334,
225,459,556,547,287,544)(114,554,276,446,131,208,164,393,369,543,461,185)
(124,297,417,141,171,428,384,475,147,158,476,619)(133,209,183,333,350,304,
256,197,174,303,588,501)(139,593,390,609,614,574,439,267,316,524,539,377)
(149,328,486,277,212,549,538,460,331,416,447,448)(160,298,325,379,600,410,
592,240,526,515,241,452)(199,569,565,578,530,487,443,232,603,202,319,244)
(216,314,226)(238,458,371)(262,420,599,558,376,502)(279,507),
(1,310,580,262,28,189,496,316,429,487,551,97,87,301,438,295,231,48,11,
514,115,126,75,349)(2,243,624,470,583,505,547,444,467,294,260,271,611,
21,148,263,269,245,202,623,70,518,118,466)(3,33,289,512,153,537,61,
616,276,27,508,538,224,411,8,207,52,56,114,531,503,549,451,488)
(4,107,25,461,127,252,394,188,520,322,165,385,66,275,286,138,346,375,
265,268,109,292,546,308)(5,23,361,256,521,293,235,250,215,471,410,219,
95,408,320,105,261,166,55,315,481,283,50,168)(6,398,117,26,151,211,
113,382,36,509,417,436,493,388,618,350,504,573,121,184,356,51,216,403)
(7,584,78,46,101,622,230,475,366,190,173,423,557,37,389,545,206,409,
500,72,354,248,373,195)(9,171,249,129,209,626,57,562,159,238,92,331,
374,17,421,365,555,200,613,314,472,30,197,203)(10,522,318,152,414,589,
601,433,425,352,208,412,558,32,218,533,469,178,44,304,515,571,279,122)
(12,239,214,120,145,35,90,462,345,570,351,242,432,517,241,96,579,303,
609,154,550,285,134,441)(13,326,85,344,143,199,277,492,325,309,606,141,
539,526,41,332,489,468,450,598,597,620,22,47)(14,54,225,229,307,480,
299,140,204,490,244,274,116,98,24,284,625,380,77,572,529,419,359,183)
(15,329,93,20,535,431,191,83,393,58,213,402,595,198,428,176,575,513,
135,477,445,321,251,407)(16,418,317,336,434,476,592,170,371,86,156,340,
187,45,182,335,565,338,155,110,59,443,88,31)(18,258,510,38,446,319,
237,157,591,142,390,201,406,233,430,590,324,534,560,566,424,519,313,506)
(19,42,130,491,619,287,131,160,328,71,600,82,376,161,111,186,364,65,
29,210,599,150,524,167)(34,474,212,447,576,339,561,169,452,621,559,74,
614,147,300,582,586,454,104,494,302,400,330,391)(39,578,543,459,133,257,
516,413,511,544,542,395,327,602,106,181,264,456,381,128,397,236,610,63)
(40,306,615,540,267,416,272,94,369,234,291,386,377,174,221,473,185,343,
523,607,501,81,296,240)(43,541,437,379,378,60,603,440,288,192,483,179,
463,132,177,164,337,108,372,465,49,498,217,556)(53,442,358,172,612,530,
528,415,223,383,362,532,280,593,67,290,255,479,588,227,360,449,363,405)
(62,139,585,246,548,137,581,123,222,486,482,64,342,368,577,396,194,594,
80,112,205,399,281,84)(68,253,384,563,499,124,333,270,347,103,367,485,
460,305,136,507,73,163,569,605,527,422,495,448)(69,404,334,254,587,193,
323,228,99,455,370,232,567,180,79,76,568,453,297,435,175,247,100,427)
(89,478,119,574,457,196,266,102,348,259,353,426,608,144,553,387,484,162,
497,401,564,146,149,278)(91,220,355,420,226,552,525,298,312,536,464,311,
604,554,282,273,158,439,392,596,458,502,617,125)]],
[7,488280000,0,"2",[[625,1]],3,"L2,625 on projective points.7",
["L",[2,625],1],
[(1,191,226,409,505,68,107,342,119,130,33,234,523,5,34,413,211,291,66,
545,89,605,206,254,485,610)(2,244,281,133,560,48,77,59,101,261,555,
541,132)(3,102,569,506,412,11,79,470,32,620,62,564,248,4,613,558,
216,460,9,482,438,293,86,459,579,243)(6,492,168,513,271,553,199,600,
190,287,397,295,129)(7,279,131,210,30,405,146,371,118,452,437,454,612,
19,348,364,76,259,114,294,193,263,533,571,96,526)(8,490,121,465,170,
288,423,113,324,10,601,326,194,24,209,464,520,591,355,61,274,195,21,
369,546,45)(12,302,14,215,554,441,27,40,466,53,429,478,461,16,407,
15,381,122,617,398,439,572,73,105,67,176)(13,451,135,351,562,393,516,
584,347,609,475,239,43,20,491,220,108,622,570,250,128,549,483,321,410,331
)(17,531,144,318,577,537,272,106,177,384,593,578,586,23,575,522,561,184,
219,345,596,269,120,325,299,69)(18,173,185,232,311,298,436,624,304,142,
109,201,424,26,500,408,585,604,467,525,606,602,256,607,84,352)
(22,167,504,213,323,253,619,275,126,37,368,370,231,25,138,568,394,496,
445,599,117,290,598,472,481,479)(28,141,535,338,399,175,41,552,148,223,
444,366,262,277,265,379,285,336,169,286,50,320,322,123,373,203)
(29,111,377,614,486,427,151,217,383,587,616,434,280,78,389,431,137,228,
237,367,484,246,282,333,529,112)(31,57,540,462,356,330,283,455,38,581,
197,390,58,82,276,510,124,160,292,300,420,181,251,267,204,343)
(35,93,115,395,71,567,233,264,574,149,52,127,91,155,419,308,154,70,
329,224,49,360,621,418,136,432)(36,257,425,457,99,95,357,56,576,530,
156,508,512,81,161,238,222,125,476,230,353,603,440,183,532,404)
(39,255,618,559,502,501,200,227,372,317,74,83,334,450,349,539,406,266,
543,207,97,511,458,542,611,225)(42,174,528,589,85,495,258,189,236,623,
110,415,72,468,309,47,509,171,362,548,583,205,163,192,536,180)
(44,340,447,527,480,157,430,182,387,374,489,416,401,316,544,435,214,446,
592,218,428,517,626,145,563,547)(46,524,90,307,221,474,315,284,493,306,
411,208,247,590,557,202,573,147,166,297,443,615,344,260,597,64)
(51,100,608,94,75,327,363,150,456,385,378,359,448,305,580,337,289,301,
270,139,595,212,278,515,63,565)(54,319,433,388,521,310,400,403,538,92,
335,158,88,116,332,103,179,488,550,172,339,497,152,477,55,186)
(60,159,229,164,449,242,235,162,98,358,442,165,498,566,422,625,582,143,
245,469,240,534,188,594,382,414)(65,376,551,499,153,350,519,386,104,453,
134,341,87,249,354,514,198,346,140,178,187,494,80,471,328,375)
(196,391,503,392,473,296,507,273,402,588,365,421,312,252,314,518,396,426,
361,313,556,380,487,417,241,268)(303,463),
(1,455,313,36,142,354,377,309,301,10,118,14,20,114,566,285,529,53,131,
108,507,403,496,209)(2,454,38,91,3,190,402,101,604,157,568,82,107,
468,416,531,233,210,156,555,392,77,221,89)(4,265,435,575,275,574,340,
343,518,479,562,30,217,361,465,126,237,106,321,76,188,491,166,327)
(5,364,214,199,359,389,583,86,469,590,65,100,551,517,175,429,320,345,
207,283,587,607,547,509)(6,223,122,45,266,41,29,460,505,158,28,174,
504,15,268,93,412,72,57,310,211,615,323,329)(7,17,401,520,25,48,
584,34,47,483,556,195,371,612,138,334,27,165,497,149,278,244,201,474)
(8,386,198,305,127,180,58,355,476,226,406,624,336,279,457,13,252,270,
136,59,398,140,281,367)(9,362,622,42,110,419,348,393,11,349,316,605,
375,449,103,539,521,601,63,95,243,241,600,545)(12,394,33,475,71,264,
263,307,26,254,459,510,591,308,245,178,415,353,208,228,372,148,68,167)
(16,230,143,337,608,197,548,303,155,573,121,623,563,409,540,97,516,437,
300,125,405,511,147,561)(18,569,433,184,344,80,443,597,79,537,445,453,
456,350,578,565,324,35,602,620,66,514,21,499)(19,161,585,274,444,272,
120,495,414,490,90,81,549,331,132,582,304,352,294,152,240,554,229,626)
(22,502,523,592,92,440,425,258,222,524,461,610,314,276,347,94,49,542,
150,31,64,423,84,111)(23,162,251,326,189,119,104,289,617,543,434,75,
544,532,448,271,145,463,335,501,170,332,625,466)(24,216,202,619,452,253,
44,451,39,322,262,168,260,219,373,273,508,231,579,164,381,135,181,552)
(32,269,450,206,470,43,384,458,485,427,187,408,220,173,73,503,312,54,
109,191,442,560,611,559)(37,391,506,232,396,387,163,128,577,234,487,618,
550,594,557,571,133,413,482,378,333,586,255,526)(40,88,153,447,411,292,
171,129,438,404,151,242,422,87,295,446,56,488,61,203,67,330,227,46)
(50,426,124,480,410,249,484,420,564,282,397,407,144,225,328,179,205,498,
390,78,137,325,570,130)(51,418,500,421,486,238,614,593,182,541,60,296,
290,113,385,116,369,256,200,193,522,341,339,277)(52,428,267,246,481,338,
299,365,530,431,527,298,247,558,567,177,287,351,606,139,603,464,235,215)
(55,69,284,317,417,572,546,616,513,194,621,259,588,99,117,357,250,368,
478,346,358,213,176,297)(62,356,160,576,580,236,553,102,374,169,472,196,
536,288,596,105,388,319,146,70,538,395,598,183)(74,581,493,399,489,370,
311,302,204,261,519,315,224,366,462,212,441,83,257,280,360,515,376,318)
(85,134,528,599,185,525,141,342,115,248,492,286,172,192,589,609,293,535,
439,400,533,379,595,154)(96,291,363,471,123,613,380,430,494,159,306,218,
467,382,473,186,477,424,239,512,112,432,383,534)(98,436)]],
[8,976560000,0,"2",[[625,1]],3,"L2,625 on projective points.8",
["L",[2,625],1],
[(1,152,574,44,257,565,503,612)(2,501,51,84,31,167,3,322)
(4,115,97,534,42,319,404,231)(5,561,392,432,202,190,81,467)
(6,205,230,560,206,408,436,102)(7,156,368,326,542,221,146,19)
(8,88,145,166,225,511,185,389)(9,266,358,255,269,48,168,428)
(10,563,57,43,189,487,354,137)(11,110,378,187,246,508,234,620)
(12,56,13,45,175,344,290,396)(14,136,198,455,308,324,601,188)
(15,610,52,127,245,251,532,26)(16,30,296,362,473,523,435,405)
(17,614,341,153,270,395,600,528)(18,316,229,603,557,337,215,332)
(20,490,38,291,464,209,278,277)(21,445,589,397,340,481,157,538)
(22,451,265,320,312,336,268,314)(23,122,287,522,483,388,161,197)
(24,78,384,35,573,413,409,505)(25,203,494,232,387,224,275,545)
(27,472,195,469,151,129,443,518)(28,233,359,475,343,272,116,583)
(29,176,540,498,551,550,618,424)(32,623,75,558,301,241,67,279)
(33,412,170,162,460,82,517,100)(34,474,571,579,516,606,471,335)
(36,117,237,119,321,554,347,372)(37,284,377,390,580,165,201,541)
(39,101,294,584,406,433,602,582)(40,69,333,465,502,547,429,391)
(41,212,366,325,489,64,258,430)(46,86,55,376,352,562,617,49)
(47,131,463,318,592,300,179,418)(50,276,259,95,199,323,338,104)
(53,58,394,155,169,452,496,539)(54,621,533,222,510,624,514,214)
(59,108,590,363,74,302,486,559)(60,360,609,164,491,135,330,96)
(61,570,495,216,211,174,393,616)(62,537,313,120,599,619,154,235)(63,226)
(65,605,77,105,85,506,227,410)(66,339,346,364,158,113,507,163)
(68,295,552,87,132,597,438,114)(70,356,107,608,111,236,411,218)
(71,286,485,512,280,595,307,331)(72,200,425,564,118,442,462,458)
(73,480,530,365,273,83,121,544)(76,223,417,553,461,130,159,309)
(79,515,304,477,399,379,306,181)(80,509,89,402,267,374,447,299)
(90,520,282,497,239,454,415,207)(91,204,210,403,288,567,476,581)
(92,219,556,263,367,177,285,607)(93,586,253,144,572,180,383,103)
(94,525,148,519,446,126,457,448)(98,242,434,149,264,297,369,150)
(99,591,381,566,327,182,543,613)(106,243,449,141,298,536,401,431)
(109,142,271,427,426,419,349,213)(112,143,493,350,247,521,244,133)
(123,479,238,593,500,504,262,453)(124,250,622,317,604,482,208,196)
(125,375,594,172,193,355,292,334)(128,423,468,513,311,578,361,240)
(134,228,568,328,576,398,252,186)(138,529,422,373,261,173,456,254)
(139,184,555,466,140,194,459,310)(147,407,531,386,470,444,615,249)
(160,260,351,625,577,546,492,191)(171,587,281,526,217,416,626,329)
(178,484,283,569,380,192,382,575)(183,524,588,289,478,345,256,548)
(220,585,440,421,342,353,488,527)(248,598,385,348,400,611,315,499)
(274,293,441,303,357,450,370,535)(305,420,439,437,414,371,596,549),
(1,236,246,472,28,202,492,176,399,307,253,367,155,404,212,315,74,251,316,
122,413,332,586,92,234,338,469,181,108,418,151,198,200,344,407,421,368,
569,232,422,21,572,570,217,73,522,613,541,438,23,600,464,133,377,141,
43,165,221,65,281,462,3,174,112,365,245,533,396,320,48,584,123,594,
466,25,457,131,408,4,62,403,238,261,495,177,478,465,394,311,520,301,
282,518,156,211,548,278,85,357,612,179,337,109,263,178,437,107,617,579,
471,416,290,360,488,542,9,158,167,554,303,459,420,285,300,350,531,607,
220,44,250,269,10,64,310,79,243,119,214,24,75,335,347,295,100,523,
120,8,527,317,128,51,379,31,591,436,38,257,260,369,149,268,502,356,
226,325,402,20,203,445,496,440,90,447,126,599,286,386,233,116,423,401,
372,601,94,99,526,479,239,35,329,56,102,614,484,384,624,19,378,606,
209,525,362,199,331,267,593,505,185,611,159,620,45,578,334,248,513,47,
352,255,474,603,152,111,291,297,132,276,50,504,425,142,428,287,154,59,
27,53,190,183,443,470,587,69,194,170,222,60,105,321,296,49,306,42,
136,551,546,70,516,235,160,110,280,393,98,455,13,161,146,530,124,34,
590,385,514,55,97,537,33,101,521,66,475,381,175,412,446,71,148,283,
273,604,336,326,461,538,163,197,434,227,134,543,88,508,576,72,512,553,
95,224,619,575,485,78,463,448,382,153,511,216,328,499,449,374,93,539,
63,58,473,567,302,560,313,288,503,549,387,439,415,540,622,139,166,426,
419,555,581,550,454,322,180,467,184,104,559,333,6,312,318,498,456,605,
135,353,256,562,96,361,275,30,564,589,450,598,424,103,616,342,277,410,
247,84,400,602,230,207,585,225,125,595,506,552,279,574,370,129,83,510,
515,608,237,208,186,493,376,223,323,610,483,162,519,169,113,164,405,182,
206,284,383,252,106,341,460,240,349,17,571,173,618,577,229,558,480,292,
81,532,489,86,509,314,262,274,534,57,395,490,366,529,299,545,482,340,
359,565,389,26,77,259,309,324,189,150,305,54,442,451,507,67,121,249,
319,193,138,29,592,22,172,430,346,500,272,429,597,14,524,330,61,398,
452,91,5,308,89,298,215,144,130,431,114,348,371,205,547,432,201,477,
11,32,143,615,486,625,561,289,213,76,364,244,497,435,582,147,327,544,
388,444,566,468,231,476,145,609,82,171,68,596,87,536,392,39,37,157,
187,18,40,241,188,12,265,409,411,458,191,501,427,140,271,375,517,623,
15,196,487,293,358,535,294,397,204,453,242,355,16,210,433,117,406,580,
137,363,373,2,264,258,80,343,583,557,390,556,354,127,115,270,118,36,
568,195,380,391,192,621,563,441,304,168,46,588,417,218,228,414,41,573,
491,339,494,481,254,52,219,7,626,266,528,351,345)]],
[9,Factorial(626)/2,1,"2",[[625,1]],624,"A_n",["A",626,1],626],
[10,Factorial(626),0,"2",[[625,1]],626,"S_n",["A",626,1],626]];