C4graphGraph forms for C4 [ 512, 467 ] = BGCG(UG(ATD[256,167]);K1;{1,5,17,29,41,53})

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On this page are computer-accessible forms for the graph C4[ 512, 467 ] = BGCG(UG(ATD[256,167]);K1;{1,5,17,29,41,53}).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {256, 300} under the group generated by the following permutations:

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

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

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