C4graphGraph forms for C4 [ 512, 202 ] = UG(ATD[512,432])

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On this page are computer-accessible forms for the graph C4[ 512, 202 ] = UG(ATD[512,432]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {32, 33} under the group generated by the following permutations:

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

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

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