C4graphGraph forms for C4 [ 512, 609 ] = SS[512,146]

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On this page are computer-accessible forms for the graph C4[ 512, 609 ] = SS[512,146].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {30, 31} under the group generated by the following permutations:

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

(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, 609 ]
512
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-2 1 501 512 505
-3 1 507 509 502
-4 1 508 510 503
-5 506 1 511 504
-6 319 144 145 321
-7 143 320 146 322
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-10 35 355 303 131
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-13 132 37 357 305
-14 154 45 331 307
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-394 320 486 346 339
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-396 352 311 360 481
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-402 368 500 304 317
-403 343 497 367 271
-404 344 498 368 272
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-418 473 354 356 283
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-424 363 278 323 479
-425 364 277 325 480
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-428 267 306 328 482
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-435 311 355 469 251
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-438 253 312 357 471
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-442 495 301 368 296
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-445 265 475 258 360
-446 473 255 361 263
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-448 330 327 471 472
-449 485 488 41 42
-450 486 487 39 40
-451 465 38 479 109
-452 36 467 478 107
-453 37 477 468 108
-454 110 35 466 480
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-456 484 115 117 482
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-459 474 466 148 262
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-480 409 454 511 425
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-491 386 464 378 504
-492 385 463 377 503
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-494 440 420 388 502
-495 442 389 422 504
-496 441 421 390 503
-497 399 379 403 505
-498 506 401 380 404
-499 508 400 382 406
-500 507 402 381 405
-501 2 489 481 493
-502 3 490 482 494
-503 484 496 4 492
-504 495 5 491 483
-505 473 2 497 469
-506 474 498 5 470
-507 3 476 500 472
-508 475 4 499 471
-509 485 3 465 477
-510 4 466 488 478
-511 487 5 468 480
-512 2 486 467 479
0

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