C4graphGraph forms for C4 [ 512, 502 ] = SS[512,3]

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On this page are computer-accessible forms for the graph C4[ 512, 502 ] = SS[512,3].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {158, 159} under the group generated by the following permutations:

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

(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, 502 ]
512
-1 2 3 4 5
-2 1 509 501 503
-3 1 510 502 504
-4 1 507 511 505
-5 506 1 508 512
-6 36 37 38 39
-7 16 17 18 19
-8 363 365 366 367
-9 364 368 369 370
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-14 330 36 323 32
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-19 232 233 7 51
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-22 221 47 237 42
-23 47 226 240 43
-24 44 242 225 41
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-27 46 224 42 241
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-29 49 216 217 42
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-31 212 48 213 41
-32 14 443 183 184
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-36 200 14 6 195
-37 12 199 6 197
-38 198 15 6 196
-39 13 201 202 6
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-42 22 27 104 29
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-44 111 24 116 20
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-47 22 23 115 117
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-52 111 16 118 109
-53 113 17 117 107
-54 103 104 105 106
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-62 88 101 82 72
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-185 33 341 311 317
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-223 26 282 85 273
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-318 209 398 175 186
-319 190 182 204 402
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-321 178 189 401 205
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-509 2 466 477 478
-510 3 465 479 480
-511 484 4 468 481
-512 5 467 482 483
0

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