C4graphGraph forms for C4 [ 512, 506 ] = SS[512,7]

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On this page are computer-accessible forms for the graph C4[ 512, 506 ] = SS[512,7].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {1, 3} under the group generated by the following permutations:

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

(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, 506 ]
512
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-2 1 508 501 505
-3 506 1 509 504
-4 1 507 512 502
-5 1 510 511 503
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-7 364 365 366 367
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-373 420 422 75 65
-374 421 63 74 416
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0

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