C4graphGraph forms for C4 [ 504, 36 ] = PS(6,168;11)

[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 504, 36 ] = PS(6,168;11).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {168, 174} under the group generated by the following permutations:

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

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

**************

&Graph
C4[ 504, 36 ]
504
-1 451 474 168 85
-2 452 475 85 86
-3 453 476 86 87
-4 88 454 477 87
-5 88 89 455 478
-6 89 90 456 479
-7 90 91 457 480
-8 91 92 458 481
-9 92 93 459 482
-10 93 94 460 483
-11 484 94 95 461
-12 462 485 95 96
-13 463 486 96 97
-14 464 487 97 98
-15 99 465 488 98
-16 99 100 466 489
-17 100 101 467 490
-18 101 102 468 491
-19 102 103 469 492
-20 103 104 470 493
-21 104 105 471 494
-22 495 105 106 472
-23 473 496 106 107
-24 474 497 107 108
-25 475 498 108 109
-26 110 476 499 109
-27 110 111 477 500
-28 111 112 478 501
-29 112 113 479 502
-30 113 114 480 503
-31 114 115 481 504
-32 421 115 116 482
-33 422 116 117 483
-34 484 423 117 118
-35 485 424 118 119
-36 486 425 119 120
-37 121 487 426 120
-38 121 122 488 427
-39 122 123 489 428
-40 429 123 124 490
-41 430 124 125 491
-42 431 125 126 492
-43 432 126 127 493
-44 433 127 128 494
-45 495 434 128 129
-46 496 435 129 130
-47 497 436 130 131
-48 132 498 437 131
-49 132 133 499 438
-50 133 134 500 439
-51 440 134 135 501
-52 441 135 136 502
-53 442 136 137 503
-54 443 137 138 504
-55 421 444 138 139
-56 422 445 139 140
-57 423 446 140 141
-58 424 447 141 142
-59 143 425 448 142
-60 143 144 426 449
-61 144 145 427 450
-62 451 145 146 428
-63 429 452 146 147
-64 430 453 147 148
-65 431 454 148 149
-66 432 455 149 150
-67 433 456 150 151
-68 434 457 151 152
-69 435 458 152 153
-70 154 436 459 153
-71 154 155 437 460
-72 155 156 438 461
-73 462 156 157 439
-74 440 463 157 158
-75 441 464 158 159
-76 442 465 159 160
-77 443 466 160 161
-78 444 467 161 162
-79 445 468 162 163
-80 446 469 163 164
-81 165 447 470 164
-82 165 166 448 471
-83 166 167 449 472
-84 473 167 168 450
-85 1 2 248 175
-86 176 2 3 249
-87 177 3 4 250
-88 178 4 5 251
-89 179 5 6 252
-90 169 180 6 7
-91 170 181 7 8
-92 171 182 8 9
-93 172 183 9 10
-94 11 173 184 10
-95 11 12 174 185
-96 12 13 175 186
-97 176 187 13 14
-98 177 188 14 15
-99 178 189 15 16
-100 179 190 16 17
-101 180 191 17 18
-102 181 192 18 19
-103 182 193 19 20
-104 183 194 20 21
-105 22 184 195 21
-106 22 23 185 196
-107 23 24 186 197
-108 187 198 24 25
-109 188 199 25 26
-110 189 200 26 27
-111 190 201 27 28
-112 191 202 28 29
-113 192 203 29 30
-114 193 204 30 31
-115 194 205 31 32
-116 33 195 206 32
-117 33 34 196 207
-118 34 35 197 208
-119 198 209 35 36
-120 199 210 36 37
-121 200 211 37 38
-122 201 212 38 39
-123 202 213 39 40
-124 203 214 40 41
-125 204 215 41 42
-126 205 216 42 43
-127 44 206 217 43
-128 44 45 207 218
-129 45 46 208 219
-130 209 220 46 47
-131 210 221 47 48
-132 211 222 48 49
-133 212 223 49 50
-134 213 224 50 51
-135 214 225 51 52
-136 215 226 52 53
-137 216 227 53 54
-138 55 217 228 54
-139 55 56 218 229
-140 56 57 219 230
-141 220 231 57 58
-142 221 232 58 59
-143 222 233 59 60
-144 223 234 60 61
-145 224 235 61 62
-146 225 236 62 63
-147 226 237 63 64
-148 227 238 64 65
-149 66 228 239 65
-150 66 67 229 240
-151 67 68 230 241
-152 231 242 68 69
-153 232 243 69 70
-154 233 244 70 71
-155 234 245 71 72
-156 235 246 72 73
-157 236 247 73 74
-158 237 248 74 75
-159 238 249 75 76
-160 77 239 250 76
-161 77 78 240 251
-162 78 79 241 252
-163 242 79 80 169
-164 243 80 81 170
-165 244 81 82 171
-166 245 82 83 172
-167 246 83 84 173
-168 1 247 84 174
-169 276 90 313 163
-170 277 91 314 164
-171 165 278 92 315
-172 166 279 93 316
-173 167 280 94 317
-174 168 281 95 318
-175 319 282 85 96
-176 320 283 86 97
-177 321 284 87 98
-178 88 99 322 285
-179 286 89 100 323
-180 287 90 101 324
-181 288 91 102 325
-182 289 92 103 326
-183 290 93 104 327
-184 291 94 105 328
-185 292 95 106 329
-186 330 293 96 107
-187 331 294 97 108
-188 332 295 98 109
-189 99 110 333 296
-190 297 100 111 334
-191 298 101 112 335
-192 299 102 113 336
-193 253 300 103 114
-194 254 301 104 115
-195 255 302 105 116
-196 256 303 106 117
-197 257 304 107 118
-198 258 305 108 119
-199 259 306 109 120
-200 110 121 260 307
-201 308 111 122 261
-202 309 112 123 262
-203 310 113 124 263
-204 264 311 114 125
-205 265 312 115 126
-206 266 313 116 127
-207 267 314 117 128
-208 268 315 118 129
-209 269 316 119 130
-210 270 317 120 131
-211 121 132 271 318
-212 319 122 133 272
-213 320 123 134 273
-214 321 124 135 274
-215 275 322 125 136
-216 276 323 126 137
-217 277 324 127 138
-218 278 325 128 139
-219 279 326 129 140
-220 280 327 130 141
-221 281 328 131 142
-222 132 143 282 329
-223 330 133 144 283
-224 331 134 145 284
-225 332 135 146 285
-226 286 333 136 147
-227 287 334 137 148
-228 288 335 138 149
-229 289 336 139 150
-230 253 290 140 151
-231 254 291 141 152
-232 255 292 142 153
-233 143 154 256 293
-234 144 155 257 294
-235 145 156 258 295
-236 146 157 259 296
-237 297 147 158 260
-238 298 148 159 261
-239 299 149 160 262
-240 300 150 161 263
-241 264 301 151 162
-242 265 302 152 163
-243 266 303 153 164
-244 154 165 267 304
-245 155 166 268 305
-246 156 167 269 306
-247 157 168 270 307
-248 308 158 271 85
-249 309 159 272 86
-250 310 160 273 87
-251 88 311 161 274
-252 275 89 312 162
-253 344 193 415 230
-254 231 345 194 416
-255 232 346 195 417
-256 418 233 347 196
-257 419 234 348 197
-258 198 420 235 349
-259 199 236 337 350
-260 200 237 338 351
-261 352 201 238 339
-262 353 202 239 340
-263 341 354 203 240
-264 342 355 204 241
-265 242 343 356 205
-266 243 344 357 206
-267 244 345 358 207
-268 245 346 359 208
-269 209 246 347 360
-270 210 247 348 361
-271 211 248 349 362
-272 363 212 249 350
-273 364 213 250 351
-274 352 365 214 251
-275 353 366 215 252
-276 354 169 367 216
-277 355 170 368 217
-278 356 171 369 218
-279 357 172 370 219
-280 220 358 173 371
-281 221 359 174 372
-282 222 360 175 373
-283 176 374 223 361
-284 177 375 224 362
-285 363 178 376 225
-286 364 179 377 226
-287 365 180 378 227
-288 366 181 379 228
-289 367 182 380 229
-290 368 183 381 230
-291 231 369 184 382
-292 232 370 185 383
-293 233 371 186 384
-294 187 385 234 372
-295 188 386 235 373
-296 374 189 387 236
-297 375 190 388 237
-298 376 191 389 238
-299 377 192 390 239
-300 378 193 391 240
-301 379 194 392 241
-302 242 380 195 393
-303 243 381 196 394
-304 244 382 197 395
-305 198 396 245 383
-306 199 397 246 384
-307 385 200 398 247
-308 386 201 399 248
-309 387 202 400 249
-310 388 203 401 250
-311 389 204 402 251
-312 390 205 403 252
-313 169 391 206 404
-314 170 392 207 405
-315 171 393 208 406
-316 209 407 172 394
-317 210 408 173 395
-318 396 211 409 174
-319 397 212 410 175
-320 176 398 213 411
-321 177 399 214 412
-322 178 400 215 413
-323 179 401 216 414
-324 180 402 217 415
-325 181 403 218 416
-326 182 404 219 417
-327 220 418 183 405
-328 221 419 184 406
-329 407 222 420 185
-330 408 223 337 186
-331 187 409 224 338
-332 188 410 225 339
-333 189 411 226 340
-334 341 190 412 227
-335 342 191 413 228
-336 343 192 414 229
-337 330 433 259 492
-338 331 434 260 493
-339 332 435 261 494
-340 495 333 436 262
-341 496 334 437 263
-342 264 497 335 438
-343 265 498 336 439
-344 253 440 266 499
-345 254 441 267 500
-346 255 442 268 501
-347 256 443 269 502
-348 257 444 270 503
-349 258 445 271 504
-350 421 259 446 272
-351 422 260 447 273
-352 423 261 448 274
-353 275 424 262 449
-354 276 425 263 450
-355 264 451 277 426
-356 265 452 278 427
-357 266 453 279 428
-358 429 267 454 280
-359 430 268 455 281
-360 431 269 456 282
-361 432 270 457 283
-362 433 271 458 284
-363 434 272 459 285
-364 286 435 273 460
-365 287 436 274 461
-366 275 462 288 437
-367 276 463 289 438
-368 277 464 290 439
-369 440 278 465 291
-370 441 279 466 292
-371 442 280 467 293
-372 443 281 468 294
-373 444 282 469 295
-374 445 283 470 296
-375 297 446 284 471
-376 298 447 285 472
-377 286 473 299 448
-378 287 474 300 449
-379 288 475 301 450
-380 451 289 476 302
-381 452 290 477 303
-382 453 291 478 304
-383 454 292 479 305
-384 455 293 480 306
-385 456 294 481 307
-386 308 457 295 482
-387 309 458 296 483
-388 297 484 310 459
-389 298 485 311 460
-390 299 486 312 461
-391 462 300 487 313
-392 463 301 488 314
-393 464 302 489 315
-394 465 303 490 316
-395 466 304 491 317
-396 467 305 492 318
-397 319 468 306 493
-398 320 469 307 494
-399 308 495 321 470
-400 309 496 322 471
-401 310 497 323 472
-402 473 311 498 324
-403 474 312 499 325
-404 475 313 500 326
-405 476 314 501 327
-406 477 315 502 328
-407 478 316 503 329
-408 330 479 317 504
-409 331 421 480 318
-410 319 332 422 481
-411 320 333 423 482
-412 321 334 424 483
-413 484 322 335 425
-414 485 323 336 426
-415 253 486 324 427
-416 254 487 325 428
-417 429 255 488 326
-418 430 256 489 327
-419 431 257 490 328
-420 432 258 491 329
-421 55 409 350 32
-422 33 56 410 351
-423 352 34 57 411
-424 353 35 58 412
-425 354 36 59 413
-426 355 37 60 414
-427 356 38 61 415
-428 357 39 62 416
-429 358 40 63 417
-430 418 359 41 64
-431 419 360 42 65
-432 66 420 361 43
-433 44 67 337 362
-434 363 45 68 338
-435 364 46 69 339
-436 365 47 70 340
-437 341 366 48 71
-438 342 367 49 72
-439 343 368 50 73
-440 344 369 51 74
-441 345 370 52 75
-442 346 371 53 76
-443 77 347 372 54
-444 55 78 348 373
-445 374 56 79 349
-446 375 57 80 350
-447 376 58 81 351
-448 352 377 59 82
-449 353 378 60 83
-450 354 379 61 84
-451 1 355 380 62
-452 2 356 381 63
-453 3 357 382 64
-454 4 358 383 65
-455 66 5 359 384
-456 385 67 6 360
-457 386 68 7 361
-458 387 69 8 362
-459 363 388 70 9
-460 364 389 71 10
-461 11 365 390 72
-462 12 366 391 73
-463 13 367 392 74
-464 14 368 393 75
-465 15 369 394 76
-466 77 16 370 395
-467 396 78 17 371
-468 397 79 18 372
-469 398 80 19 373
-470 374 399 81 20
-471 375 400 82 21
-472 22 376 401 83
-473 23 377 402 84
-474 1 24 378 403
-475 2 25 379 404
-476 3 26 380 405
-477 4 27 381 406
-478 407 5 28 382
-479 408 6 29 383
-480 409 7 30 384
-481 385 410 8 31
-482 386 411 9 32
-483 33 387 412 10
-484 11 34 388 413
-485 12 35 389 414
-486 13 36 390 415
-487 14 37 391 416
-488 15 38 392 417
-489 418 16 39 393
-490 419 17 40 394
-491 420 18 41 395
-492 396 337 19 42
-493 397 338 20 43
-494 44 398 339 21
-495 22 45 399 340
-496 341 23 46 400
-497 342 24 47 401
-498 343 25 48 402
-499 344 26 49 403
-500 345 27 50 404
-501 346 28 51 405
-502 347 29 52 406
-503 407 348 30 53
-504 408 349 31 54
0

**************