C4graphGraph forms for C4 [ 504, 22 ] = PS(9,56;9)

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On this page are computer-accessible forms for the graph C4[ 504, 22 ] = PS(9,56;9).

(I) Following is a form readable by MAGMA:

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

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

(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, 22 ]
504
-1 474 112 58 480
-2 57 475 59 481
-3 58 476 60 482
-4 59 477 61 483
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-6 485 61 479 63
-7 486 62 480 64
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-217 136 272 130 274
-218 275 137 273 131
-219 132 276 138 274
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-224 143 279 137 225
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-229 332 172 294 174
-230 333 173 295 175
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-233 176 298 178 336
-234 177 299 179 281
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-239 286 182 304 184
-240 287 183 305 185
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-244 187 309 189 291
-245 188 310 190 292
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-248 191 313 193 295
-249 192 314 194 296
-250 297 193 315 195
-251 298 194 316 196
-252 299 195 317 197
-253 198 300 196 318
-254 319 199 301 197
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-274 321 217 283 219
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-316 341 269 347 251
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-449 440 26 402 32
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-471 48 424 54 406
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-499 396 26 434 20
-500 397 27 435 21
-501 22 398 28 436
-502 23 399 29 437
-503 24 400 30 438
-504 25 401 31 439
0

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