C4graphGraph forms for C4 [ 512, 593 ] = SS[512,130]

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On this page are computer-accessible forms for the graph C4[ 512, 593 ] = SS[512,130].

(I) Following is a form readable by MAGMA:

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

(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, 593 ]
512
-1 2 3 4 5
-2 1 510 501 505
-3 506 1 512 502
-4 1 507 511 504
-5 1 508 509 503
-6 344 345 346 347
-7 352 112 355 115
-8 353 354 113 114
-9 124 125 126 127
-10 132 133 134 135
-11 121 123 148 151
-12 122 149 150 120
-13 136 139 129 131
-14 137 138 128 130
-15 143 140 141 142
-16 144 145 146 147
-17 356 104 360 108
-18 111 106 359 361
-19 110 363 357 107
-20 105 358 109 362
-21 100 101 102 103
-22 27 445 50 251
-23 48 444 248 29
-24 28 51 249 447
-25 26 49 446 250
-26 25 36 366 369
-27 22 34 365 371
-28 24 37 367 368
-29 23 364 35 370
-30 242 255 432 39
-31 257 433 38 240
-32 254 434 41 241
-33 243 256 435 40
-34 55 27 447 42
-35 445 29 52 43
-36 45 26 444 53
-37 44 28 446 54
-38 103 345 71 31
-39 68 101 344 30
-40 33 69 102 347
-41 100 70 346 32
-42 34 73 107 108
-43 35 104 72 109
-44 110 37 106 75
-45 111 36 105 74
-46 67 96 64 98
-47 66 99 97 65
-48 23 93 61 73
-49 25 72 95 63
-50 22 94 62 75
-51 24 92 60 74
-52 35 57 64 97
-53 56 36 96 65
-54 99 67 58 37
-55 66 34 59 98
-56 224 455 249 53
-57 226 457 52 250
-58 456 227 251 54
-59 55 454 225 248
-60 253 420 223 51
-61 253 222 48 422
-62 220 421 50 252
-63 221 49 423 252
-64 46 421 52 219
-65 47 422 217 53
-66 55 420 47 216
-67 46 423 218 54
-68 244 213 39 438
-69 212 247 40 439
-70 246 215 41 437
-71 245 38 214 436
-72 455 49 227 43
-73 48 224 457 42
-74 45 225 456 51
-75 44 454 50 226
-76 200 233 424 205
-77 235 203 204 427
-78 232 202 425 207
-79 201 234 206 426
-80 209 246 238 196
-81 211 247 237 197
-82 198 244 239 208
-83 199 210 245 236
-84 210 431 234 193
-85 209 233 192 428
-86 429 232 211 195
-87 430 235 194 208
-88 188 204 239 240
-89 189 236 206 241
-90 242 191 237 207
-91 243 190 205 238
-92 231 215 51 185
-93 231 48 213 184
-94 187 212 50 230
-95 49 214 186 230
-96 46 213 181 53
-97 47 212 183 52
-98 55 46 180 215
-99 47 214 182 54
-100 178 224 41 21
-101 177 225 39 21
-102 179 40 227 21
-103 176 38 226 21
-104 17 171 161 43
-105 45 168 20 163
-106 44 169 160 18
-107 170 19 162 42
-108 17 42 164 175
-109 166 172 20 43
-110 44 167 19 174
-111 165 45 18 173
-112 177 7 162 207
-113 179 160 205 8
-114 176 204 161 8
-115 178 7 206 163
-116 177 228 164 208
-117 167 211 179 229
-118 176 166 210 229
-119 165 209 178 228
-120 12 168 223 191
-121 11 220 188 169
-122 12 189 222 170
-123 11 221 190 171
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0

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