C4graphGraph forms for C4 [ 512, 253 ] = UG(ATD[512,576])

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On this page are computer-accessible forms for the graph C4[ 512, 253 ] = UG(ATD[512,576]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {508, 509} under the group generated by the following permutations:

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

(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, 253 ]
512
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-39 23 188 116 340
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-41 2 90 50 138
-42 191 280 62 119
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-44 190 4 118 140
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-148 22 220 224 350
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-170 244 147 225 84
-171 68 82 368 227
-172 319 146 164 241
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-175 314 425 76 164
-176 323 82 423 150
-177 81 182 369 391
-178 245 312 433 163
-179 310 247 84 372
-180 389 436 162 184
-181 188 325 85 307
-182 177 167 332 334
-183 88 330 336 306
-184 166 180 327 186
-185 200 310 37 455
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-189 342 16 204 326
-190 44 451 331 94
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-192 330 14 344 95
-193 45 445 40 459
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-198 286 135 333 477
-199 133 157 335 380
-200 55 287 480 185
-201 231 57 191 302
-202 375 90 382 20
-203 92 303 18 230
-204 374 189 59 383
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-207 343 70 490 141
-208 408 28 273 450
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-210 80 278 367 435
-211 78 243 433 137
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-214 255 147 466 511
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-219 66 149 481 460
-220 400 148 500 75
-221 67 81 367 228
-222 242 320 145 163
-223 66 366 161 318
-224 243 148 83 226
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-228 221 474 412 87
-229 385 93 115 380
-230 233 475 203 480
-231 201 377 388 235
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-234 374 389 50 40
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-241 124 172 273 109
-242 209 222 237 141
-243 121 276 211 224
-244 111 144 170 240
-245 178 113 258 493
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-249 132 324 357 117
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-251 321 50 414 129
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-296 150 502 382 263
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-311 187 308 326 86
-312 331 178 168 333
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-318 385 168 223 410
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-329 89 309 323 444
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-351 146 455 269 467
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-354 279 466 358 447
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-358 354 508 127 273
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-362 277 458 502 283
-363 499 138 281 504
-364 155 280 459 470
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-369 407 177 212 480
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0

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