C4graphGraph forms for C4 [ 512, 201 ] = UG(ATD[512,429])

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On this page are computer-accessible forms for the graph C4[ 512, 201 ] = UG(ATD[512,429]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {86, 87} under the group generated by the following permutations:

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

(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, 201 ]
512
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-2 1 14 345 6
-3 300 15 224 7
-4 16 8 316 285
-5 1 17 39 428
-6 2 453 18 40
-7 3 324 19 41
-8 353 4 20 42
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-13 25 36 260 218
-14 99 2 46 318
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-32 111 31 64 438
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-37 155 69 94 337
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-39 202 5 104 182
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-190 112 80 300 334
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-193 93 500 152 240
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-197 331 496 90 302
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-200 211 325 106 304
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-218 13 442 61 303
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-223 88 89 350 361
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-225 145 409 355 104
-226 363 1 172 109
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-228 176 111 365 41
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-230 113 367 389 21
-231 66 432 104 208
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-245 332 378 127 371
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-253 374 136 119 383
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-263 451 148 229 306
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-266 309 453 388 151
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-270 113 158 379 392
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-273 308 168 282 131
-274 321 301 164 318
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-276 143 321 305 395
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-278 243 171 292 505
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-303 199 146 346 218
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-318 14 421 400 274
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-471 319 352 503 372
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-479 509 150 405 482
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-481 418 133 377 512
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-494 55 509 435 449
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-512 121 481 54 472
0

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