C4graphGraph forms for C4 [ 512, 644 ] = SS[512,198]

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On this page are computer-accessible forms for the graph C4[ 512, 644 ] = SS[512,198].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {464, 465} under the group generated by the following permutations:

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

(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, 644 ]
512
-1 2 3 4 5
-2 1 509 503 504
-3 1 510 501 502
-4 1 508 512 505
-5 506 1 507 511
-6 354 356 346 348
-7 355 357 347 349
-8 352 359 361 351
-9 353 358 360 350
-10 319 320 321 314
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-14 322 324 162 164
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-253 132 112 257 274
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-316 11 387 42 384
-317 11 385 386 43
-318 11 388 389 40
-319 39 382 383 10
-320 45 391 392 10
-321 44 390 393 10
-322 385 14 51 393
-323 13 50 392 384
-324 387 14 391 53
-325 386 13 390 52
-326 55 16 379 381
-327 15 378 380 54
-328 57 389 16 383
-329 56 388 15 382
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-331 419 222 97 428
-332 101 224 435 414
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-381 374 490 315 326
-382 319 488 329 373
-383 319 487 328 372
-384 363 323 477 316
-385 322 478 317 362
-386 365 325 479 317
-387 364 324 480 316
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-389 486 370 328 318
-390 321 366 325 482
-391 320 367 324 481
-392 484 320 323 369
-393 321 322 368 483
-394 346 307 351 494
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-508 497 4 479 483
-509 2 465 476 469
-510 3 466 470 471
-511 473 475 5 468
-512 474 4 467 472
0

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