C4graphGraph forms for C4 [ 512, 546 ] = SS[512,79]

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On this page are computer-accessible forms for the graph C4[ 512, 546 ] = SS[512,79].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {52, 53} under the group generated by the following permutations:

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

(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, 546 ]
512
-1 2 3 4 5
-2 1 508 510 501
-3 1 511 502 505
-4 506 1 512 503
-5 1 507 509 504
-6 364 28 29 361
-7 363 30 31 362
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0

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