C4graphGraph forms for C4 [ 504, 58 ] = PL(MC3(6,42,1,22,29,12,1),[4^63,42^6])

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On this page are computer-accessible forms for the graph C4[ 504, 58 ] = PL(MC3(6,42,1,22,29,12,1),[4^63,42^6]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {176, 255} under the group generated by the following permutations:

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

(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, 58 ]
504
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-2 429 309 255 365
-3 297 473 410 371
-4 297 430 289 371
-5 286 474 457 394
-6 261 383 318 483
-7 434 457 304 294
-8 409 278 467 372
-9 254 259 490 350
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-13 451 490 282 350
-14 429 473 309 318
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-23 331 454 356 491
-24 369 315 404 284
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-26 321 355 426 307
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-28 464 432 359 381
-29 418 465 478 328
-30 323 378 302 481
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-35 319 475 304 460
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-38 265 459 318 483
-39 322 478 457 304
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-44 375 300 258 401
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-253 69 37 18 152
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-264 57 126 228 207
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-326 111 112 168 204
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-449 56 149 237 54
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-454 23 91 146 202
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-456 15 84 19 87
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-459 155 38 106 42
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-464 243 28 18 173
-465 176 147 29 85
-466 67 155 203 172
-467 36 40 8 151
-468 201 170 185 76
-469 134 202 193 175
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-471 22 210 90 81
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-473 3 14 15 83
-474 1 5 50 161
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-499 157 103 104 226
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-504 68 244 49 163
0

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