C4graphGraph forms for C4 [ 512, 573 ] = SS[512,108]

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On this page are computer-accessible forms for the graph C4[ 512, 573 ] = SS[512,108].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {10, 11} under the group generated by the following permutations:

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

(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, 573 ]
512
-1 2 3 4 5
-2 1 509 503 504
-3 506 1 508 510
-4 1 507 501 512
-5 1 511 502 505
-6 27 28 29 30
-7 12 320 322 27
-8 13 321 324 29
-9 14 323 326 30
-10 11 319 28 325
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-12 202 7 40 196
-13 198 201 39 8
-14 199 200 39 9
-15 155 203 447 41
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-24 132 456 42 130
-25 134 455 128 41
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-28 154 148 6 10
-29 6 149 8 153
-30 6 151 9 152
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-35 155 454 138 172
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-38 452 167 157 141
-39 13 14 95 98
-40 11 12 96 97
-41 25 91 15 19
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-43 22 23 94 18
-44 26 93 17 20
-45 91 92 93 94
-46 47 48 49 50
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-48 46 167 169 71
-49 46 170 73 174
-50 46 72 171 172
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-56 177 63 460 186
-57 182 183 459 64
-58 66 190 180 457
-59 88 334 367 51
-60 331 368 83 54
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-62 55 89 332 370
-63 330 56 90 373
-64 57 371 86 328
-65 374 84 52 329
-66 58 333 85 372
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-70 324 325 85 87
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-192 80 81 257 260
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-196 12 223 259 240
-197 11 242 255 229
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-199 14 246 227 262
-200 244 14 256 225
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-202 12 258 230 241
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-207 233 226 18 252
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-244 200 222 423 149
-245 198 429 215 151
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-249 209 166 411 219
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-251 165 412 216 206
-252 221 410 163 207
-253 166 222 414 208
-254 210 413 218 164
-255 191 159 197 439
-256 200 191 444 162
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-261 155 201 446 194
-262 199 445 193 161
-263 188 211 434 150
-264 211 149 435 185
-265 212 151 437 186
-266 189 148 214 438
-267 213 433 183 152
-268 190 432 214 153
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0

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