C4graphGraph forms for C4 [ 512, 581 ] = SS[512,116]

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On this page are computer-accessible forms for the graph C4[ 512, 581 ] = SS[512,116].

(I) Following is a form readable by MAGMA:

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

(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, 581 ]
512
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-2 1 507 509 502
-3 1 511 503 505
-4 506 1 512 504
-5 1 508 510 501
-6 363 360 361 362
-7 155 148 151 152
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-39 34 441 47 65
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-42 67 35 442 50
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-464 465 466 467 468
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-511 3 499 500 468
-512 497 498 4 467
0

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