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# Fix #5786 and error reported by Len Soicher in support list
gap> gg:=SpecialUnitaryGroup(4,2);;
gap> hl:=Z(2)*[
> [0,0,1,0],
> [1,1,0,0],
> [0,1,0,1],
> [0,1,1,0],
> [1,1,0,1]];;
gap> o:=Orbit(gg,Set(hl),OnSets);;
gap> Length(o);
216
gap> set:=[ 1,10,15,24,29,33,38,40,44,59, 60, 63, 69, 74, 77,79,85, 86, 90,
> 95, 99, 103, 105, 110, 122, 125, 143, 148, 149, 153, 162, 165, 174, 182,
> 185, 191, 197, 198, 202, 218, 223, 227, 228, 235, 236, 240, 243, 248,
> 254,
> 256, 259, 270, 275, 288, 291, 295, 298, 302, 305, 310, 312, 315, 325,
> 329,
> 333, 340, 341, 350, 356, 366, 369, 381, 385, 390, 397, 402, 412, 414,
> 419,
> 421, 425, 428, 433, 436, 445, 447, 451, 452, 453, 454, 461, 466, 474,
> 479,
> 481, 489, 490, 493, 497, 507, 509, 512, 513, 519, 521 ];;
gap> gp:=Group(
> ( 1,340,124,306,216,492,100, 25,108,270,220,332)( 2,138, 54,161,132,159,198,
> 336,439,269, 89,419)( 3,467,177,404,505,437,379,312,481,271,223,135)
> ( 4,510, 79,504,259,234,378,251,272,268,360,303)( 5,278,176,191,231,275,263,
> 190,230,146,265,192)( 6,486,126,523,490,448,375,237,288,400,243,329)
> ( 7,131,123,516, 48,392,350,333,418, 16,139,175)( 8,289,125,386,241, 29,376,
> 334,242,417,442,331)( 9,430, 32, 59,446,367,377,335,411,416,515,330)
> ( 10,391, 56,407,475,414,200,328,165,473, 86,119)( 11,368, 35,390,522,408,199,
> 415,440,326, 87,503)( 12,412, 55,457,399,245,201, 33,438,431, 88,317)
> ( 13,471, 40,348,452,292, 43,346,373, 77, 41,347)( 14,137,174,162, 60, 69,321,
> 487, 61,158,322,370)( 15,101,114,109,130,160,488,489,352,351,420, 17)
> ( 18,339,167,290,202,385, 99, 22, 90,323,217,129)( 19, 26, 93,304, 96,342)
> ( 20,338,166,305,215,141, 97, 24, 51,150,219,507)( 21,337, 63,186,214,424, 98,
> 23,107,382,218,349)( 27, 91,445,451,525, 67,519,239,144,203,155,353)
> ( 28,324,444,128, 70,428,496,238,286,300,283, 64)( 30,236,287,441,387,354)
> ( 31,345,366,517, 45,344,413,521, 46,248,244,121)( 34,314,394,402,222,447, 81,
> 282,262,173,246,435)( 36,482,178,364,148,495,179,363,140,102,113,111)
> ( 37,253,273,168,294,302,226,183, 72,480,154,233)( 38,483,520,393,403,465,362,
> 298,143,356,153,369)( 39,157,320,472)( 42,228,277,264)( 44,343,147,501)
> ( 47, 73,308,380,184,389,310,327,163,295,151,425)( 49,221,456, 80,474,260,405,
> 325,164,524,152,449)( 50,479,365,477,461,459,497,169,296,247,134,117)
> ( 52,361,299,285,355,188,423,464,434,453,133,118)( 53,257,509, 68,511,458,293,
> 204,384,374, 75, 82)( 57,116,112,149,514,396,470,485,493,249,421,120)
> ( 58,500,266,250,429,122)( 62,156,319,311)( 65,187,225,357,127, 71,388,235,
> 460,252,274,371)( 66,106,462,291,205,383,372, 76, 92,410,280,498)
> ( 74,401,381,476,409,281,171,104,297,307,426,182)( 78, 84,261,256,180,436,512,
> 313,181,491,224,499)( 83,466,255,508,506,395,469,422,142,103,115,110)
> ( 85,468,258,502,267,136)( 94,341)( 95,211)(105,478,195,432,518,316,197,484,
> 494,455,196,170)(145,513,359,232,227,254)(172,209,398,207,279,206)
> (185,194,309,443)(189,406,463,318,450,427,433,454,315,301,284,358)
> (193,229,276,240)(208,397)(210,213,212)
> ,( 1,379,148, 48,128,430,416)( 2, 34,338, 35,235,131,521)( 3,512,352, 47,
> 318,289,237)( 4,272,506, 49,434,486,282)( 5,524,485, 10,483,340, 55)
> ( 6,458, 36,487, 60,121, 16)( 7,313,140,336,127,435,270)( 8, 85,147,489,
> 98,201,417)( 9,469, 94,488,129,329,400)( 11,291, 26, 54,234,473,169)
> ( 12,207,339, 56,233,503,515)( 13,426,337, 40,232,295,500)( 14, 32,414, 27,
> 167,130,472)( 15, 33,188, 38,382,109,501)( 17, 31,459, 37,496,132,517)
> ( 18,263,294,446,451,134,497)( 19,198,525,241,441,244,470)( 20,100,199,490,
> 242,429,413)( 21,378,403,216,523,421, 58)( 22,124,159, 77, 63,123,292)
> ( 23,176,275,431,168, 86,293)( 24,177,492,326,104,151,290)( 25, 79,437,269,
> 163,152,144)( 28,462,150,162, 62,120,415)( 29,239, 83,311, 61,117,260)
> ( 30,452,149,370, 39,122,389)( 41,468, 73,254,277,432,371)( 42,210,319,502,
> 373,205,283)( 43,387,194,212,320,508, 99)( 44,396,349,331,399,250,420)
> ( 45,411,461,375,475,377,418)( 46,344,409,519,522,477,419)( 50,253,278,433,
> 231, 88,422)( 51,482,138,358,229,463,381)( 52, 91,467,221,230,518,484)
> ( 53,390,510,494,228,454, 92)( 57,310,460,118,259,367,363)( 59,281,227,274,
> 505,402,215)( 64,125,245, 76, 93,160,471)( 65,126,408, 75,166, 69,264)
> ( 66,302,186,116,257,424,327)( 67,187,297,479,217,425,171)( 68,303,296,345,
> 280,226,273)( 70,240,359,366,364, 97,200)( 71,265,360,394,393,133,423)
> ( 72,251,146,164,268, 87,312)( 74,252,276,406,513, 89,181)( 78,395,158,185,
> 315,287,333)( 80,136,351,156,316,286,334)( 81,511,350,184,317,288,335)
> ( 82,261,392,183,105,309,238)( 84,224,439,182,284,193,236)( 90,466,391,357,
> 443,170,465)( 95,321,509,353,203,243,197)( 96,516,498,354,300,246,401)
> (101,405,453,464,154,112,341)(102,139,450,208,388,365,111)(103,440,520,285,
> 192,266,343)(106,308,218,119,262,448,298)(107,219,368,356,442,301,209)
> (108,514,412,355,376,474,222)(110,495,137,478,361,444,380)(113,255,342,175,
> 173,247,305)(114,256,141,328,153,307,304)(115,258,385,325,172,214,306)
> (135,493,157,455,362,445,407)(142,346,189,398,323,161,499)(143,190,145,436,
> 271,165,314)(155,195,211,174,404,374,204)(178,507,332,330,248,249,179)
> (180,372,202,386,196,213,322)(191,267,491,384,438,279,225)(206,428,299,369,
> 480,220,449)(223,481,383,427,397,324,504)(347,457,447,410,348,456,476));;
gap> Length(Orbit(gp,set,OnSets));
241920
[ Dauer der Verarbeitung: 0.16 Sekunden
(vorverarbeitet)
]
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