C4graphGraph forms for C4 [ 512, 579 ] = SS[512,114]

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On this page are computer-accessible forms for the graph C4[ 512, 579 ] = SS[512,114].

(I) Following is a form readable by MAGMA:

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

(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, 579 ]
512
-1 2 3 4 5
-2 1 507 509 503
-3 1 512 504 505
-4 506 1 511 502
-5 1 508 510 501
-6 58 59 60 61
-7 77 50 52 75
-8 51 74 53 76
-9 44 45 42 43
-10 38 39 40 41
-11 34 57 37 54
-12 55 56 35 36
-13 33 30 31 32
-14 22 70 30 54
-15 23 57 71 32
-16 33 56 25 73
-17 55 24 72 31
-18 22 67 47 26
-19 23 69 27 49
-20 46 68 25 29
-21 66 24 48 28
-22 429 255 14 18
-23 15 257 19 428
-24 431 256 17 21
-25 254 430 16 20
-26 419 456 18 261
-27 418 457 19 261
-28 260 459 416 21
-29 260 458 20 417
-30 13 14 268 93
-31 13 92 269 17
-32 13 266 15 94
-33 13 267 16 95
-34 11 253 247 97
-35 99 12 249 250
-36 12 246 96 252
-37 11 248 251 98
-38 90 10 252 274
-39 89 277 251 10
-40 88 253 276 10
-41 275 91 250 10
-42 265 267 270 9
-43 269 272 9 263
-44 264 266 9 273
-45 268 271 9 262
-46 121 83 259 20
-47 122 258 18 84
-48 124 259 85 21
-49 123 82 258 19
-50 265 113 92 7
-51 264 114 93 8
-52 116 7 95 263
-53 115 94 8 262
-54 11 14 115 273
-55 12 17 116 270
-56 12 113 16 272
-57 11 15 114 271
-58 89 112 6 97
-59 88 110 6 98
-60 91 6 96 109
-61 99 111 90 6
-62 82 456 106 86
-63 83 107 459 87
-64 458 85 108 87
-65 105 457 84 86
-66 110 279 282 21
-67 111 278 18 283
-68 112 281 20 285
-69 280 19 284 109
-70 254 420 14 105
-71 256 421 15 106
-72 255 422 17 108
-73 257 16 423 107
-74 110 277 247 8
-75 7 249 109 274
-76 276 112 248 8
-77 275 111 246 7
-78 418 122 102 106
-79 121 103 108 416
-80 124 103 107 417
-81 419 123 102 105
-82 156 49 62 161
-83 154 46 158 63
-84 47 157 160 65
-85 155 48 159 64
-86 170 171 62 65
-87 172 63 173 64
-88 59 40 162 184
-89 58 39 185 164
-90 165 38 61 183
-91 60 182 41 163
-92 168 180 50 31
-93 167 178 51 30
-94 166 181 53 32
-95 33 179 169 52
-96 177 36 60 171
-97 34 58 172 175
-98 37 59 173 174
-99 176 35 170 61
-100 176 177 387 384
-101 385 386 174 175
-102 78 178 81 181
-103 79 80 179 180
-104 150 151 152 153
-105 70 81 148 65
-106 78 146 71 62
-107 80 149 73 63
-108 79 147 72 64
-109 69 146 60 75
-110 66 59 147 74
-111 77 67 148 61
-112 68 58 149 76
-113 143 198 56 50
-114 57 201 51 142
-115 144 200 53 54
-116 55 199 145 52
-117 189 190 194 129
-118 188 191 126 195
-119 193 128 196 186
-120 187 192 127 197
-121 46 79 127 140
-122 78 47 126 139
-123 81 49 138 129
-124 80 48 128 141
-125 126 127 128 129
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0

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