C4graphGraph forms for C4 [ 512, 488 ] = BGCG(UG(ATD[256,188]);K1;1)

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On this page are computer-accessible forms for the graph C4[ 512, 488 ] = BGCG(UG(ATD[256,188]);K1;1).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {256, 324} under the group generated by the following permutations:

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

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

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