C4graphGraph forms for C4 [ 512, 111 ] = UG(ATD[512,131])

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On this page are computer-accessible forms for the graph C4[ 512, 111 ] = UG(ATD[512,131]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {312, 314} under the group generated by the following permutations:

a: (1, 5, 3, 7, 4, 8, 2, 6)(9, 28, 305, 381, 100, 169, 456, 212)(10, 26, 307, 382, 99, 171, 454, 211)(11, 27, 306, 383, 98, 170, 455, 210)(12, 25, 308, 384, 97, 172, 453, 209)(13, 31, 310, 379, 104, 174, 452, 216)(14, 32, 309, 377, 103, 173, 450, 215)(15, 29, 312, 380, 102, 176, 451, 214)(16, 30, 311, 378, 101, 175, 449, 213)(17, 268, 476, 159, 46, 233, 457, 142)(18, 267, 474, 160, 45, 234, 459, 141)(19, 266, 475, 157, 48, 235, 458, 144)(20, 265, 473, 158, 47, 236, 460, 143)(21, 272, 479, 155, 42, 237, 462, 138)(22, 271, 480, 156, 41, 238, 461, 137)(23, 270, 477, 153, 44, 239, 464, 140)(24, 269, 478, 154, 43, 240, 463, 139)(33, 324, 50, 107, 36, 321, 51, 106)(34, 323, 52, 105, 35, 322, 49, 108)(37, 328, 54, 111, 40, 325, 55, 110)(38, 327, 56, 109, 39, 326, 53, 112)(57, 92, 227, 74, 60, 89, 226, 75)(58, 91, 225, 76, 59, 90, 228, 73)(61, 96, 231, 78, 64, 93, 230, 79)(62, 95, 229, 80, 63, 94, 232, 77)(65, 71, 66, 69, 68, 70, 67, 72)(81, 86, 82, 88, 84, 87, 83, 85)(113, 184, 197, 486, 132, 365, 224, 436)(114, 182, 199, 488, 131, 367, 222, 435)(115, 183, 198, 485, 130, 366, 223, 434)(116, 181, 200, 487, 129, 368, 221, 433)(117, 180, 193, 481, 136, 361, 220, 440)(118, 178, 195, 482, 135, 363, 218, 439)(119, 179, 194, 483, 134, 362, 219, 438)(120, 177, 196, 484, 133, 364, 217, 437)(121, 128, 123, 126, 124, 125, 122, 127)(145, 445, 414, 188, 164, 492, 423, 250)(146, 446, 413, 186, 163, 491, 424, 249)(147, 447, 416, 187, 162, 490, 421, 252)(148, 448, 415, 185, 161, 489, 422, 251)(149, 443, 410, 191, 168, 496, 419, 256)(150, 441, 409, 192, 167, 495, 420, 254)(151, 444, 412, 189, 166, 494, 417, 255)(152, 442, 411, 190, 165, 493, 418, 253)(201, 207, 202, 205, 204, 206, 203, 208)(241, 263, 242, 261, 244, 262, 243, 264)(245, 260, 246, 259, 248, 257, 247, 258)(273, 285, 275, 287, 276, 288, 274, 286)(277, 283, 279, 284, 280, 282, 278, 281)(289, 338, 320, 356, 292, 339, 317, 353)(290, 340, 319, 355, 291, 337, 318, 354)(293, 342, 314, 360, 296, 343, 315, 357)(294, 344, 316, 359, 295, 341, 313, 358)(297, 304, 299, 302, 300, 301, 298, 303)(329, 348, 331, 346, 332, 345, 330, 347)(333, 352, 335, 350, 336, 349, 334, 351)(369, 425, 405, 390, 372, 428, 408, 391)(370, 426, 406, 392, 371, 427, 407, 389)(373, 429, 403, 385, 376, 432, 402, 388)(374, 430, 401, 386, 375, 431, 404, 387)(393, 398, 394, 400, 396, 399, 395, 397)(465, 469, 467, 471, 468, 472, 466, 470)(497, 510, 498, 512, 500, 511, 499, 509)(501, 505, 502, 506, 504, 508, 503, 507)
b: (1, 2)(3, 4)(5, 8)(9, 209)(10, 211)(11, 210)(12, 212)(13, 214)(14, 213)(15, 216)(16, 215)(17, 480)(18, 479)(19, 478)(20, 477)(21, 474)(22, 476)(23, 473)(24, 475)(25, 456)(26, 454)(27, 455)(28, 453)(29, 452)(30, 450)(31, 451)(32, 449)(33, 90)(34, 92)(35, 89)(36, 91)(37, 94)(38, 96)(39, 93)(40, 95)(41, 457)(42, 459)(43, 458)(44, 460)(45, 462)(46, 461)(47, 464)(48, 463)(49, 74)(50, 76)(51, 73)(52, 75)(53, 78)(54, 80)(55, 77)(56, 79)(57, 323)(58, 321)(59, 324)(60, 322)(61, 327)(62, 325)(63, 328)(64, 326)(65, 122)(66, 124)(67, 121)(68, 123)(69, 126)(70, 128)(71, 125)(72, 127)(82, 83)(85, 86)(87, 88)(97, 381)(98, 383)(99, 382)(100, 384)(101, 377)(102, 379)(103, 378)(104, 380)(105, 226)(106, 228)(107, 225)(108, 227)(109, 230)(110, 232)(111, 229)(112, 231)(113, 117)(114, 119)(115, 118)(116, 120)(129, 133)(130, 135)(131, 134)(132, 136)(137, 159)(138, 160)(139, 157)(140, 158)(141, 155)(142, 156)(143, 153)(144, 154)(145, 491)(146, 492)(147, 489)(148, 490)(149, 493)(150, 495)(151, 494)(152, 496)(161, 447)(162, 448)(163, 445)(164, 446)(165, 443)(166, 444)(167, 441)(168, 442)(169, 308)(170, 306)(171, 307)(172, 305)(173, 311)(174, 312)(175, 309)(176, 310)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 416)(186, 414)(187, 415)(188, 413)(189, 412)(190, 410)(191, 411)(192, 409)(193, 224)(194, 222)(195, 223)(196, 221)(197, 220)(198, 218)(199, 219)(200, 217)(201, 298)(202, 300)(203, 297)(204, 299)(205, 302)(206, 304)(207, 301)(208, 303)(233, 238)(234, 237)(235, 240)(236, 239)(241, 334)(242, 336)(243, 333)(244, 335)(245, 329)(246, 330)(247, 331)(248, 332)(249, 423)(250, 424)(251, 421)(252, 422)(253, 419)(254, 420)(255, 417)(256, 418)(257, 346)(258, 348)(259, 345)(260, 347)(261, 350)(262, 352)(263, 349)(264, 351)(265, 270)(266, 269)(267, 272)(268, 271)(273, 276)(277, 279)(278, 280)(281, 284)(285, 287)(286, 288)(289, 408)(290, 407)(291, 406)(292, 405)(293, 402)(294, 404)(295, 401)(296, 403)(313, 374)(314, 376)(315, 373)(316, 375)(317, 369)(318, 370)(319, 371)(320, 372)(337, 426)(338, 428)(339, 425)(340, 427)(341, 430)(342, 432)(343, 429)(344, 431)(353, 391)(354, 389)(355, 392)(356, 390)(357, 388)(358, 387)(359, 386)(360, 385)(361, 486)(362, 488)(363, 485)(364, 487)(365, 481)(366, 482)(367, 483)(368, 484)(393, 466)(394, 468)(395, 465)(396, 467)(397, 470)(398, 472)(399, 469)(400, 471)(497, 507)(498, 508)(499, 505)(500, 506)(501, 509)(502, 511)(503, 510)(504, 512)
c: (1, 9, 33, 47, 87, 97, 49, 17)(2, 10, 34, 48, 88, 98, 50, 18)(3, 11, 35, 45, 85, 99, 51, 19)(4, 12, 36, 46, 86, 100, 52, 20)(5, 13, 37, 43, 83, 101, 53, 21)(6, 14, 38, 44, 84, 102, 54, 22)(7, 15, 39, 41, 81, 103, 55, 23)(8, 16, 40, 42, 82, 104, 56, 24)(25, 57, 113, 201, 169, 225, 129, 65)(26, 58, 114, 202, 170, 226, 130, 66)(27, 59, 115, 203, 171, 227, 131, 67)(28, 60, 116, 204, 172, 228, 132, 68)(29, 61, 117, 205, 173, 229, 133, 69)(30, 62, 118, 206, 174, 230, 134, 70)(31, 63, 119, 207, 175, 231, 135, 71)(32, 64, 120, 208, 176, 232, 136, 72)(73, 137, 241, 161, 89, 153, 257, 145)(74, 138, 242, 162, 90, 154, 258, 146)(75, 139, 243, 163, 91, 155, 259, 147)(76, 140, 244, 164, 92, 156, 260, 148)(77, 141, 245, 165, 93, 157, 261, 149)(78, 142, 246, 166, 94, 158, 262, 150)(79, 143, 247, 167, 95, 159, 263, 151)(80, 144, 248, 168, 96, 160, 264, 152)(105, 177, 273, 250, 321, 361, 281, 185)(106, 178, 274, 252, 322, 362, 282, 186)(107, 179, 275, 249, 323, 363, 283, 187)(108, 180, 276, 251, 324, 364, 284, 188)(109, 181, 277, 254, 325, 365, 285, 189)(110, 182, 278, 256, 326, 366, 286, 190)(111, 183, 279, 253, 327, 367, 287, 191)(112, 184, 280, 255, 328, 368, 288, 192)(121, 209, 313, 221, 297, 381, 293, 197)(122, 210, 314, 222, 298, 382, 294, 198)(123, 211, 315, 223, 299, 383, 295, 199)(124, 212, 316, 224, 300, 384, 296, 200)(125, 213, 317, 219, 301, 379, 291, 195)(126, 214, 318, 217, 302, 377, 289, 193)(127, 215, 319, 220, 303, 380, 292, 196)(128, 216, 320, 218, 304, 378, 290, 194)(233, 329, 409, 353, 265, 350, 417, 337)(234, 330, 410, 354, 266, 352, 418, 338)(235, 331, 411, 355, 267, 349, 419, 339)(236, 332, 412, 356, 268, 351, 420, 340)(237, 333, 413, 357, 269, 345, 421, 341)(238, 334, 414, 358, 270, 346, 422, 342)(239, 335, 415, 359, 271, 347, 423, 343)(240, 336, 416, 360, 272, 348, 424, 344)(305, 385, 457, 468, 453, 431, 473, 393)(306, 386, 458, 466, 454, 429, 474, 394)(307, 387, 459, 467, 455, 432, 475, 395)(308, 388, 460, 465, 456, 430, 476, 396)(309, 389, 461, 471, 451, 428, 477, 397)(310, 390, 462, 472, 449, 427, 478, 398)(311, 391, 463, 469, 452, 426, 479, 399)(312, 392, 464, 470, 450, 425, 480, 400)(369, 433, 497, 494, 406, 486, 505, 441)(370, 434, 498, 496, 408, 488, 506, 442)(371, 435, 499, 493, 405, 485, 507, 443)(372, 436, 500, 495, 407, 487, 508, 444)(373, 437, 501, 489, 401, 481, 509, 445)(374, 438, 502, 490, 402, 482, 510, 446)(375, 439, 503, 491, 403, 483, 511, 447)(376, 440, 504, 492, 404, 484, 512, 448)
d: (2, 3)(5, 6)(7, 8)(9, 25)(10, 26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)(49, 89)(50, 90)(51, 91)(52, 92)(53, 93)(54, 94)(55, 95)(56, 96)(57, 105)(58, 106)(59, 107)(60, 108)(61, 109)(62, 110)(63, 111)(64, 112)(65, 121)(66, 122)(67, 123)(68, 124)(69, 125)(70, 126)(71, 127)(72, 128)(81, 82)(83, 84)(85, 88)(97, 169)(98, 170)(99, 171)(100, 172)(101, 173)(102, 174)(103, 175)(104, 176)(113, 193)(114, 194)(115, 195)(116, 196)(117, 197)(118, 198)(119, 199)(120, 200)(129, 217)(130, 218)(131, 219)(132, 220)(133, 221)(134, 222)(135, 223)(136, 224)(137, 233)(138, 234)(139, 235)(140, 236)(141, 237)(142, 238)(143, 239)(144, 240)(145, 249)(146, 250)(147, 251)(148, 252)(149, 253)(150, 254)(151, 255)(152, 256)(153, 265)(154, 266)(155, 267)(156, 268)(157, 269)(158, 270)(159, 271)(160, 272)(161, 187)(162, 185)(163, 188)(164, 186)(165, 191)(166, 189)(167, 192)(168, 190)(177, 181)(178, 183)(179, 182)(180, 184)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(241, 333)(242, 334)(243, 335)(244, 336)(245, 331)(246, 329)(247, 332)(248, 330)(257, 345)(258, 346)(259, 347)(260, 348)(261, 349)(262, 350)(263, 351)(264, 352)(273, 274)(275, 276)(277, 280)(281, 282)(283, 284)(285, 288)(289, 369)(290, 370)(291, 371)(292, 372)(293, 373)(294, 374)(295, 375)(296, 376)(313, 401)(314, 402)(315, 403)(316, 404)(317, 405)(318, 406)(319, 407)(320, 408)(337, 392)(338, 391)(339, 390)(340, 389)(341, 386)(342, 388)(343, 385)(344, 387)(353, 425)(354, 426)(355, 427)(356, 428)(357, 429)(358, 430)(359, 431)(360, 432)(361, 365)(362, 367)(363, 366)(364, 368)(377, 449)(378, 450)(379, 451)(380, 452)(381, 453)(382, 454)(383, 455)(384, 456)(393, 465)(394, 466)(395, 467)(396, 468)(397, 469)(398, 470)(399, 471)(400, 472)(409, 495)(410, 493)(411, 496)(412, 494)(413, 492)(414, 491)(415, 490)(416, 489)(417, 444)(418, 443)(419, 442)(420, 441)(421, 448)(422, 447)(423, 446)(424, 445)(433, 484)(434, 482)(435, 483)(436, 481)(437, 487)(438, 488)(439, 485)(440, 486)(457, 461)(458, 463)(459, 462)(460, 464)(473, 477)(474, 479)(475, 478)(476, 480)(497, 505)(498, 507)(499, 506)(500, 508)(501, 510)(502, 509)(503, 512)(504, 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, 111 ]
512
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-2 209 456 457 480
-3 476 305 384 461
-4 22 100 46 172
-5 308 268 28 238
-6 12 156 212 142
-7 137 159 381 97
-8 233 453 169 271
-9 33 1 57 81
-10 430 400 313 468
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-13 388 334 60 351
-14 36 246 260 316
-15 49 293 241 263
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-28 92 5 324 86
-29 242 342 108 263
-30 348 404 76 329
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-39 17 161 151 197
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-351 13 366 180 31
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-358 26 173 218 43
-359 24 171 195 32
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-362 508 246 296 318
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-383 397 466 357 402
-384 3 91 322 84
-385 11 104 18 131
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-388 45 13 114 98
-389 199 168 147 19
-390 418 474 413 130
-391 411 115 424 459
-392 222 48 149 162
-393 171 19 42 98
-394 462 211 475 455
-395 479 458 382 306
-396 11 26 48 21
-397 99 144 155 383
-398 266 454 170 237
-399 235 27 272 307
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-401 266 366 26 175
-402 160 435 216 383
-403 210 488 379 141
-404 235 171 183 30
-405 485 267 446 493
-406 187 157 256 367
-407 144 191 182 252
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-413 299 126 390 63
-414 66 320 37 205
-415 56 203 291 72
-416 122 303 426 230
-417 56 279 281 230
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-421 231 123 302 427
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-428 45 223 152 163
-429 199 310 455 459
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-431 99 48 16 115
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-445 110 202 71 338
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-449 330 386 58 345
-450 245 258 50 294
-451 264 243 35 315
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-453 34 59 8 85
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-457 56 67 2 35
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-460 37 202 50 85
-461 123 3 96 75
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-465 99 170 18 43
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-480 122 2 93 74
-481 231 286 352 58
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-491 77 122 408 301
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-495 110 287 80 274
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-501 256 410 119 130
-502 168 223 443 194
-503 198 496 149 219
-504 419 134 191 115
-505 179 366 191 149
-506 496 410 434 483
-507 419 485 443 438
-508 168 256 183 362
-509 418 135 190 114
-510 199 152 218 493
-511 165 222 442 195
-512 253 411 118 131
0

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