C4graphGraph forms for C4 [ 512, 241 ] = UG(ATD[512,543])

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On this page are computer-accessible forms for the graph C4[ 512, 241 ] = UG(ATD[512,543]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {16, 19} under the group generated by the following permutations:

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

(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, 241 ]
512
-1 33 81 49 17
-2 46 467 94 403
-3 48 357 402 29
-4 353 62 30 449
-5 365 476 40 53
-6 462 475 366 411
-7 453 466 61 96
-8 88 412 21 461
-9 477 413 458 362
-10 452 356 60 28
-11 27 401 359 43
-12 90 469 42 405
-13 35 367 478 51
-14 36 50 18 84
-15 91 465 59 455
-16 463 83 414 19
-17 1 145 97 65
-18 14 158 323 493
-19 77 322 388 16
-20 110 78 387 497
-21 101 486 8 394
-22 331 485 510 395
-23 489 160 501 109
-24 332 69 509 152
-25 506 333 400 483
-26 500 392 108 76
-27 11 385 321 75
-28 154 325 491 10
-29 99 484 398 3
-30 66 4 148 98
-31 155 490 107 503
-32 67 147 334 511
-33 1 113 161 75
-34 67 497 291 174
-35 13 68 290 261
-36 484 14 257 126
-37 269 512 117 74
-38 299 510 270 490
-39 176 487 125 504
-40 495 168 300 5
-41 266 508 301 494
-42 12 124 260 481
-43 11 289 65 263
-44 498 170 72 293
-45 78 115 511 271
-46 2 80 114 164
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-48 3 302 163 493
-49 110 1 116 129
-50 122 331 14 445
-51 330 13 294 141
-52 497 97 142 296
-53 297 112 5 438
-54 323 510 304 437
-55 441 104 127 504
-56 133 324 512 119
-57 506 299 325 435
-58 291 500 140 98
-59 15 290 139 329
-60 333 443 126 10
-61 111 300 7 436
-62 113 4 108 130
-63 442 103 125 499
-64 507 117 326 131
-65 177 17 43 241
-66 254 463 30 195
-67 34 276 194 32
-68 275 35 190 467
-69 24 181 282 450
-70 475 455 203 283
-71 189 256 468 460
-72 44 474 204 248
-73 288 456 205 480
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-75 33 27 193 273
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-80 243 46 478 206
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-90 12 433 153 164
-91 386 167 15 129
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-101 310 409 192 21
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-105 411 480 197 307
-106 220 178 403 472
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-111 61 314 183 470
-112 198 473 211 53
-113 33 225 62 196
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-116 49 238 184 449
-117 37 369 64 185
-118 462 376 192 403
-119 56 456 382 207
-120 199 464 404 229
-121 187 375 458 405
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-123 178 409 47 235
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-125 188 39 370 63
-126 36 60 193 226
-127 55 451 380 205
-128 227 459 197 406
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-130 367 62 228 307
-131 82 64 306 372
-132 210 83 403 371
-133 56 354 223 378
-134 411 379 315 359
-135 231 364 215 404
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-138 209 408 376 85
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-142 222 93 238 52
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-147 212 85 273 32
-148 308 81 30 250
-149 243 474 93 218
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-151 311 368 468 251
-152 286 319 24 360
-153 287 90 477 318
-154 28 84 249 305
-155 209 31 87 274
-156 279 216 469 362
-157 473 222 245 95
-158 224 246 356 18
-159 253 363 309 470
-160 23 355 284 317
-161 33 243 235 84
-162 356 227 251 449
-163 277 48 359 228
-164 46 90 370 273
-165 234 83 285 461
-166 286 462 380 362
-167 453 91 371 252
-168 242 367 379 40
-169 377 282 361 460
-170 44 374 89 276
-171 47 279 225 360
-172 232 256 358 450
-173 287 238 85 459
-174 34 248 86 240
-175 451 376 93 249
-176 246 368 39 384
-177 100 302 337 65
-178 429 78 123 106
-179 77 122 326 349
-180 289 328 350 493
-181 69 422 304 329
-182 485 421 115 336
-183 111 489 425 296
-184 341 486 103 116
-185 331 419 487 117
-186 495 290 323 348
-187 121 79 322 347
-188 110 125 74 427
-189 332 420 71 303
-190 68 300 338 97
-191 426 492 295 109
-192 101 118 339 482
-193 126 324 75 351
-194 330 418 67 299
-195 66 298 102 340
-196 484 343 113 104
-197 431 105 128 76
-198 112 291 490 428
-199 335 423 120 483
-200 346 292 491 327
-201 430 293 107 494
-202 99 344 114 481
-203 297 342 70 98
-204 301 334 72 417
-205 432 127 73 108
-206 352 321 80 124
-207 333 488 424 119
-208 496 345 325 294
-209 155 138 348 97
-210 110 132 419 398
-211 418 112 146 434
-212 147 323 338 439
-213 389 444 104 351
-214 385 331 447 427
-215 397 343 135 324
-216 143 330 156 428
-217 429 386 445 336
-218 149 337 437 328
-219 145 107 438 417
-220 396 421 106 129
-221 99 352 441 387
-222 100 157 350 142
-223 133 321 344 395
-224 430 158 334 141
-225 341 113 171 140
-226 126 435 271 349
-227 429 434 128 162
-228 291 425 130 163
-229 143 421 258 120
-230 299 443 422 263
-231 135 268 292 350
-232 298 444 172 337
-233 264 418 445 304
-234 165 129 296 428
-235 123 431 433 161
-236 122 272 437 351
-237 144 257 115 423
-238 343 116 173 142
-239 289 136 346 270
-240 302 446 174 340
-241 387 347 261 65
-242 168 339 493 395
-243 80 149 161 340
-244 78 145 420 269
-245 157 257 346 481
-246 176 485 158 426
-247 396 423 270 494
-248 386 431 72 174
-249 154 430 175 483
-250 267 148 76 417
-251 79 337 151 162
-252 167 344 400 491
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0

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