C4graphGraph forms for C4 [ 512, 664 ] = SS[512,218]

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On this page are computer-accessible forms for the graph C4[ 512, 664 ] = SS[512,218].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {36, 37} under the group generated by the following permutations:

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

(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, 664 ]
512
-1 2 3 4 5
-2 1 509 501 505
-3 506 1 510 502
-4 1 508 512 504
-5 1 507 511 503
-6 33 34 35 32
-7 16 28 18 19
-8 17 29 20 21
-9 22 26 27 31
-10 23 24 25 30
-11 28 29 30 31
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-13 34 388 391 382
-14 33 385 381 383
-15 35 389 390 392
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-17 429 92 258 8
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-20 265 431 8 97
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-23 432 93 262 10
-24 430 94 10 263
-25 102 434 260 10
-26 264 101 433 9
-27 430 259 96 9
-28 11 253 103 7
-29 11 254 104 8
-30 11 256 106 10
-31 11 255 105 9
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-34 66 13 6 250
-35 15 6 251 65
-36 37 38 39 40
-37 36 269 41 107
-38 36 272 42 109
-39 44 110 36 270
-40 36 271 108 43
-41 45 46 47 37
-42 48 38 49 54
-43 56 40 52 53
-44 55 39 50 51
-45 61 282 41 120
-46 122 60 41 284
-47 121 62 41 283
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-49 111 276 57 42
-50 44 59 119 274
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-53 57 278 117 43
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-55 44 114 61 281
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-58 67 48 70 51
-59 68 71 50 52
-60 77 46 73 54
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-90 77 199 182 381
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-131 124 114 214 107
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-133 112 125 215 109
-134 111 124 108 218
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-138 121 224 126 108
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-163 220 92 444 240
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-171 99 125 105 206
-172 100 124 203 106
-173 124 104 204 95
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-175 106 128 96 207
-176 105 127 205 97
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-178 122 233 206 86
-179 88 201 234 120
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-181 209 242 82 116
-182 121 231 90 203
-183 236 205 85 118
-184 119 87 208 241
-185 89 117 238 207
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-196 88 221 113 248
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-198 243 224 85 120
-199 220 111 243 90
-200 112 222 247 86
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-202 147 169 180 361
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-206 178 171 150 360
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-208 148 184 174 362
-209 364 170 181 151
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-211 143 166 188 357
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-213 154 135 369 195
-214 377 194 131 153
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-218 134 193 161 371
-219 156 191 370 129
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-221 159 380 140 196
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-223 374 137 162 197
-224 198 138 160 373
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-228 355 150 151 351
-229 143 346 349 152
-230 144 149 347 348
-231 332 335 182 161
-232 177 321 338 153
-233 341 331 178 157
-234 330 342 179 158
-235 159 326 339 186
-236 333 183 162 328
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-238 154 334 185 329
-239 156 180 323 336
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-241 160 184 327 340
-242 155 322 344 181
-243 198 199 309 310
-244 189 190 313 314
-245 320 311 191 192
-246 319 312 193 194
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-249 297 298 299 32
-250 308 34 300 303
-251 35 302 304 305
-252 33 301 306 307
-253 374 28 369 373
-254 29 370 371 372
-255 375 378 380 31
-256 376 377 379 30
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-258 309 333 17 369
-259 376 27 313 338
-260 374 25 316 340
-261 22 311 337 371
-262 23 312 336 372
-263 375 24 314 339
-264 26 334 315 373
-265 320 344 380 20
-266 319 343 379 21
-267 342 378 19 318
-268 341 377 18 317
-269 37 358 359 360
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-271 363 366 368 40
-272 364 365 38 357
-273 345 326 52 361
-274 321 366 50 350
-275 48 323 348 362
-276 363 49 346 325
-277 364 324 347 51
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-284 46 357 328 351
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-295 308 78 353 326
-296 77 352 325 307
-297 452 288 249 427
-298 418 451 290 249
-299 289 249 428 450
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-301 287 426 448 252
-302 286 424 251 449
-303 420 291 250 450
-304 421 292 447 251
-305 452 423 293 251
-306 451 419 294 252
-307 449 252 296 417
-308 422 250 448 295
-309 243 453 258 405
-310 407 243 257 455
-311 245 410 454 261
-312 246 456 413 262
-313 244 259 414 458
-314 462 244 415 263
-315 264 464 411 248
-316 463 409 247 260
-317 268 247 457 416
-318 267 248 460 406
-319 266 246 412 459
-320 265 408 245 461
-321 232 287 413 274
-322 242 286 278 414
-323 275 408 239 285
-324 277 409 237 292
-325 276 240 405 296
-326 235 411 273 295
-327 407 291 282 241
-328 236 293 284 406
-329 238 283 294 416
-330 234 410 290 280
-331 233 289 281 415
-332 231 288 279 412
-333 463 421 236 258
-334 264 453 238 417
-335 231 418 454 257
-336 420 455 239 262
-337 456 261 426 240
-338 232 419 259 457
-339 235 425 263 461
-340 464 422 260 241
-341 233 268 459 427
-342 462 234 267 428
-343 266 237 424 458
-344 242 265 423 460
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-346 276 287 424 229
-347 286 277 425 230
-348 275 421 291 230
-349 278 293 229 417
-350 422 225 294 274
-351 292 228 284 427
-352 418 227 283 296
-353 226 282 295 428
-354 288 420 226 281
-355 279 290 423 228
-356 419 289 280 227
-357 211 272 393 284
-358 201 279 269 395
-359 397 203 269 281
-360 269 280 206 404
-361 399 202 270 273
-362 275 400 270 208
-363 276 204 271 394
-364 209 396 277 272
-365 278 401 205 272
-366 402 271 207 274
-367 212 270 282 403
-368 210 398 271 283
-369 253 213 258 393
-370 254 257 219 395
-371 254 261 218 394
-372 220 254 400 262
-373 253 264 398 224
-374 253 223 260 403
-375 255 399 216 263
-376 222 256 259 402
-377 397 256 268 214
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0

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