C4graphGraph forms for C4 [ 504, 177 ] = SS[504,1]

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On this page are computer-accessible forms for the graph C4[ 504, 177 ] = SS[504,1].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {56, 57} under the group generated by the following permutations:

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

(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[ 504, 177 ]
504
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-2 1 500 493 504
-3 1 496 497 502
-4 1 498 503 494
-5 495 1 499 501
-6 441 431 445 427
-7 430 442 432 447
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-14 23 19 32 43
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-230 353 224 346 284
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-238 221 289 357 372
-239 222 292 358 371
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-245 352 276 273 350
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-248 278 279 345 347
-249 121 137 273 296
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-251 275 123 139 294
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-259 132 293 195 285
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-263 200 289 136 284
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-266 277 205 129 285
-267 288 279 130 208
-268 287 278 206 131
-269 136 202 282 273
-270 133 276 201 284
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-272 135 203 281 274
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-275 246 271 251 307
-276 245 270 250 306
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-280 253 265 247 303
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-283 264 232 312 271
-284 311 270 230 263
-285 233 266 259 314
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-304 278 300 335 359
-305 297 337 273 362
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-312 365 335 283 295
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-315 288 292 369 338
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-320 330 331 337 339
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-388 365 379 358 479
-389 363 375 485 371
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-393 378 357 350 482
-394 352 484 377 360
-395 358 380 351 483
-396 379 359 349 481
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-399 488 346 362 384
-400 363 487 347 383
-401 473 343 378 381
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-403 344 476 380 383
-404 341 475 377 384
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-408 325 369 491 351
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-414 354 478 338 382
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-416 355 479 383 340
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-418 484 376 356 336
-419 374 354 334 481
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-431 477 6 480 9
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-449 332 322 461 483
-450 331 464 324 482
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-460 456 436 447 503
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-481 396 419 452 493
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-491 408 412 424 504
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-495 484 464 488 5
-496 463 3 487 483
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-499 476 5 468 472
-500 2 475 467 471
-501 477 5 489 459
-502 3 478 457 490
-503 4 480 492 460
-504 2 479 458 491
0

**************