C4graphGraph forms for C4 [ 512, 566 ] = SS[512,101]

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On this page are computer-accessible forms for the graph C4[ 512, 566 ] = SS[512,101].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {1, 3} under the group generated by the following permutations:

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

(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, 566 ]
512
-1 2 3 4 5
-2 1 508 501 512
-3 506 1 510 502
-4 1 509 503 505
-5 1 507 511 504
-6 378 371 372 373
-7 374 375 376 377
-8 367 368 369 370
-9 357 359 361 362
-10 355 356 358 360
-11 199 211 437 219
-12 221 201 213 439
-13 441 222 202 214
-14 199 223 444 216
-15 442 202 224 217
-16 200 212 443 226
-17 201 225 218 438
-18 220 440 200 215
-19 363 166 364 164
-20 165 365 366 163
-21 155 156 157 162
-22 158 159 160 161
-23 35 39 40 42
-24 36 37 38 41
-25 33 34 31 32
-26 44 45 46 43
-27 89 255 436 262
-28 88 256 435 261
-29 257 260 436 87
-30 90 258 259 435
-31 243 90 25 249
-32 88 244 25 245
-33 25 246 250 87
-34 89 25 247 248
-35 23 82 203 237
-36 24 204 238 86
-37 24 236 85 208
-38 210 24 81 235
-39 209 242 23 80
-40 23 83 239 207
-41 24 79 206 240
-42 23 84 205 241
-43 211 26 213 76
-44 78 26 214 215
-45 26 216 75 218
-46 77 212 26 217
-47 60 82 227 74
-48 68 83 62 228
-49 231 67 84 63
-50 234 71 86 65
-51 80 72 64 230
-52 79 69 61 229
-53 232 59 81 73
-54 66 233 70 85
-55 368 151 163 153
-56 154 150 370 164
-57 166 147 369 152
-58 165 367 148 149
-59 125 379 53 141
-60 144 123 47 380
-61 143 128 381 52
-62 124 48 382 142
-63 49 126 139 383
-64 145 127 51 384
-65 386 146 50 130
-66 385 129 140 54
-67 124 49 137 357
-68 133 123 48 359
-69 134 356 52 130
-70 138 358 128 54
-71 135 125 50 360
-72 126 51 131 362
-73 132 355 129 53
-74 47 136 127 361
-75 363 45 122 115
-76 364 116 117 43
-77 121 46 366 120
-78 44 365 118 119
-79 52 140 41 151
-80 144 39 51 152
-81 146 38 148 53
-82 35 47 149 142
-83 48 40 139 150
-84 145 49 42 153
-85 154 37 141 54
-86 143 36 147 50
-87 33 134 137 29
-88 133 28 138 32
-89 132 34 136 27
-90 135 30 31 131
-91 115 151 119 152
-92 148 117 150 120
-93 147 116 149 118
-94 121 154 122 153
-95 110 125 128 107
-96 123 113 114 126
-97 112 129 108 130
-98 111 124 127 109
-99 232 453 191 437
-100 231 194 438 449
-101 440 192 230 450
-102 198 451 227 439
-103 452 443 228 197
-104 441 234 454 195
-105 444 455 193 229
-106 233 442 456 196
-107 243 224 95 195
-108 193 250 97 219
-109 221 246 194 98
-110 222 245 95 196
-111 198 225 247 98
-112 223 191 248 97
-113 220 244 96 197
-114 192 226 249 96
-115 91 169 75 241
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-118 242 78 93 172
-119 78 91 170 238
-120 77 92 236 173
-121 77 94 239 174
-122 168 94 75 240
-123 176 68 60 96
-124 67 179 62 98
-125 59 180 71 95
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-130 177 69 97 65
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-155 169 203 21 175
-156 181 204 173 21
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-165 198 58 191 20
-166 57 192 19 195
-167 342 117 162 383
-168 122 158 346 379
-169 155 115 380 339
-170 385 157 344 119
-171 343 159 116 381
-172 341 160 118 382
-173 386 156 345 120
-174 121 161 340 384
-175 155 347 129 153
-176 123 157 147 348
-177 149 162 349 130
-178 160 128 152 350
-179 352 124 148 159
-180 353 125 150 161
-181 154 156 354 126
-182 158 127 151 351
-183 135 139 348 373
-184 136 140 349 371
-185 146 137 347 372
-186 374 141 350 131
-187 375 134 142 351
-188 132 352 145 376
-189 144 354 378 138
-190 143 133 353 377
-191 99 165 331 112
-192 166 101 332 114
-193 105 338 108 163
-194 100 333 163 109
-195 166 334 104 107
-196 110 336 106 164
-197 113 103 337 164
-198 165 111 102 335
-199 11 14 326 328
-200 330 16 18 327
-201 12 323 17 329
-202 13 15 324 325
-203 155 331 35 315
-204 156 332 36 318
-205 319 162 338 42
-206 320 333 159 41
-207 322 160 336 40
-208 321 157 37 337
-209 334 39 161 317
-210 158 38 335 316
-211 11 319 313 43
-212 46 311 16 318
-213 308 12 320 43
-214 44 309 13 322
-215 44 321 314 18
-216 45 14 315 307
-217 46 310 15 317
-218 45 312 17 316
-219 11 309 305 108
-220 308 299 113 18
-221 12 311 302 109
-222 110 13 303 307
-223 112 310 14 304
-224 15 301 313 107
-225 111 17 314 306
-226 300 114 312 16
-227 299 47 102 291
-228 48 103 302 296
-229 105 303 293 52
-230 297 101 51 306
-231 100 300 49 292
-232 99 301 294 53
-233 106 304 295 54
-234 298 104 50 305
-235 323 38 291 116
-236 37 327 120 296
-237 35 117 294 328
-238 297 330 36 119
-239 121 325 40 295
-240 122 292 41 329
-241 115 293 326 42
-242 298 324 39 118
-243 309 107 31 285
-244 113 311 290 32
-245 110 287 310 32
-246 33 288 312 109
-247 308 34 111 284
-248 34 112 289 313
-249 286 114 314 31
-250 33 283 108 307
-251 276 145 278 142
-252 275 144 277 139
-253 146 280 282 140
-254 143 279 281 141
-255 299 278 27 283
-256 275 302 28 285
-257 303 29 282 284
-258 290 281 30 305
-259 287 277 30 306
-260 276 289 300 29
-261 286 279 28 304
-262 288 301 27 280
-263 331 332 316 317
-264 319 333 334 318
-265 320 322 337 338
-266 321 335 336 315
-267 330 341 291 351
-268 342 323 348 296
-269 344 324 293 349
-270 345 325 347 294
-271 346 326 295 350
-272 352 292 327 340
-273 298 353 343 328
-274 297 354 339 329
-275 256 449 252 406
-276 260 403 251 450
-277 451 259 404 252
-278 452 255 251 405
-279 254 409 453 261
-280 253 407 454 262
-281 254 408 455 258
-282 253 410 257 456
-283 463 255 250 395
-284 396 464 257 247
-285 243 397 256 461
-286 462 398 249 261
-287 464 245 399 259
-288 246 400 262 461
-289 462 248 402 260
-290 463 244 258 401
-291 267 235 227 427
-292 231 431 272 240
-293 269 434 229 241
-294 232 237 270 428
-295 233 432 271 239
-296 268 433 236 228
-297 429 238 230 274
-298 242 430 234 273
-299 220 255 420 227
-300 231 226 424 260
-301 232 224 426 262
-302 221 256 421 228
-303 222 257 425 229
-304 233 223 423 261
-305 234 422 258 219
-306 419 225 259 230
-307 418 222 216 250
-308 220 213 247 413
-309 243 214 416 219
-310 223 245 217 417
-311 221 244 212 414
-312 246 411 226 218
-313 211 224 248 415
-314 225 412 215 249
-315 266 420 203 216
-316 210 426 218 263
-317 209 419 217 263
-318 264 212 422 204
-319 264 211 424 205
-320 265 213 425 206
-321 266 423 215 208
-322 265 421 214 207
-323 201 235 268 394
-324 242 202 269 392
-325 202 389 270 239
-326 199 387 271 241
-327 200 236 390 272
-328 199 237 393 273
-329 201 388 240 274
-330 200 267 391 238
-331 191 203 403 263
-332 409 192 204 263
-333 264 407 194 206
-334 209 264 195 406
-335 198 210 266 410
-336 266 404 196 207
-337 265 408 197 208
-338 265 193 205 405
-339 169 458 427 274
-340 429 457 272 174
-341 267 433 457 172
-342 167 431 268 458
-343 434 171 273 460
-344 432 170 269 459
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-346 168 271 460 428
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-348 176 268 412 183
-349 177 269 184 415
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-351 187 267 411 182
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-354 189 181 414 274
-355 73 427 10 395
-356 431 69 402 10
-357 396 67 434 9
-358 397 70 433 10
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-361 400 74 9 428
-362 430 401 72 9
-363 424 425 19 75
-364 420 19 426 76
-365 78 419 422 20
-366 77 421 423 20
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-368 55 410 403 8
-369 408 57 8 404
-370 56 409 8 406
-371 396 388 6 184
-372 400 6 185 394
-373 397 389 6 183
-374 398 390 7 186
-375 187 7 393 395
-376 188 387 402 7
-377 190 401 391 7
-378 189 399 6 392
-379 418 168 59 393
-380 169 411 60 394
-381 387 61 171 415
-382 390 412 62 172
-383 167 388 413 63
-384 391 414 64 174
-385 66 389 170 416
-386 392 173 65 417
-387 376 326 381 493
-388 371 383 329 494
-389 385 495 325 373
-390 374 496 327 382
-391 330 377 500 384
-392 386 498 378 324
-393 375 499 379 328
-394 497 323 380 372
-395 375 355 477 283
-396 357 371 481 284
-397 478 358 285 373
-398 286 374 359 482
-399 287 378 480 360
-400 288 361 372 483
-401 484 377 290 362
-402 376 289 356 479
-403 276 331 485 368
-404 277 486 336 369
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-406 275 334 488 370
-407 333 367 280 489
-408 281 369 490 337
-409 332 279 370 492
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-411 485 312 380 351
-412 486 314 348 382
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-414 354 311 488 384
-415 313 489 381 349
-416 385 309 490 350
-417 353 386 310 492
-418 379 347 491 307
-419 365 470 306 317
-420 364 299 315 471
-421 322 366 302 472
-422 474 365 305 318
-423 321 366 476 304
-424 319 363 300 469
-425 363 320 475 303
-426 473 364 301 316
-427 355 291 339 493
-428 346 294 361 494
-429 297 495 360 340
-430 298 496 345 362
-431 342 356 499 292
-432 344 500 359 295
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-434 343 497 357 293
-435 465 467 28 30
-436 466 27 468 29
-437 11 99 465 477
-438 100 467 17 481
-439 12 102 465 483
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-441 13 466 104 480
-442 15 478 468 106
-443 103 16 468 482
-444 14 467 105 479
-445 136 500 138 493
-446 132 495 131 494
-447 496 135 499 137
-448 133 134 497 498
-449 275 100 485 470
-450 276 101 486 471
-451 277 102 487 472
-452 278 103 488 469
-453 99 474 279 489
-454 475 104 280 490
-455 476 105 281 491
-456 473 106 282 492
-457 341 470 340 472
-458 342 469 339 471
-459 474 344 476 345
-460 473 343 475 346
-461 288 477 482 285
-462 286 289 478 481
-463 290 480 283 483
-464 484 287 479 284
-465 509 435 437 439
-466 440 441 510 436
-467 444 435 512 438
-468 442 443 511 436
-469 452 424 501 458
-470 419 457 502 449
-471 420 458 503 450
-472 451 421 457 504
-473 456 426 460 505
-474 506 453 422 459
-475 508 454 425 460
-476 507 455 423 459
-477 501 437 395 461
-478 462 397 442 502
-479 464 444 402 503
-480 441 463 399 504
-481 396 462 438 505
-482 506 398 443 461
-483 463 508 400 439
-484 440 507 464 401
-485 411 501 403 449
-486 412 502 404 450
-487 451 413 503 405
-488 452 414 504 406
-489 407 453 415 505
-490 506 408 454 416
-491 418 508 410 455
-492 507 409 456 417
-493 387 509 445 427
-494 388 509 446 428
-495 429 389 510 446
-496 430 510 390 447
-497 434 512 448 394
-498 433 511 392 448
-499 431 512 447 393
-500 432 445 511 391
-501 485 2 477 469
-502 486 3 478 470
-503 487 4 479 471
-504 488 5 480 472
-505 473 4 489 481
-506 474 3 490 482
-507 484 476 5 492
-508 2 475 491 483
-509 465 4 493 494
-510 495 496 3 466
-511 498 5 500 468
-512 2 497 499 467
0

**************