C4graphGraph forms for C4 [ 512, 527 ] = SS[512,60]

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On this page are computer-accessible forms for the graph C4[ 512, 527 ] = SS[512,60].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {20, 21} under the group generated by the following permutations:

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

(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.

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&Graph
C4[ 512, 527 ]
512
-1 2 3 4 5
-2 1 510 501 502
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0

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