C4graphGraph forms for C4 [ 480, 535 ] = SS[480,9]

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On this page are computer-accessible forms for the graph C4[ 480, 535 ] = SS[480,9].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {6, 7} under the group generated by the following permutations:

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

(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[ 480, 535 ]
480
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-2 1 476 479 469
-3 473 1 477 470
-4 1 474 480 472
-5 1 475 478 471
-6 7 8 9 10
-7 16 6 193 197
-8 198 6 17 196
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-10 199 6 18 195
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-13 22 154 164 175
-14 176 156 163 21
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-30 165 46 167 26
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-35 44 23 37 182
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-37 77 99 35 321
-38 100 36 80 324
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-45 77 102 29 304
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-50 89 72 63 65
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-52 66 92 71 62
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-60 55 147 183 54
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-67 51 172 131 208
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-183 36 60 238 263
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-186 79 233 216 64
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-195 233 248 251 10
-196 246 236 8 252
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-199 232 268 228 10
-200 231 267 225 9
-201 223 61 239 229
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-203 221 238 63 230
-204 231 222 62 240
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-206 264 68 213 272
-207 66 214 270 262
-208 67 215 271 261
-209 220 245 259 260
-210 257 248 259 219
-211 257 247 258 217
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-214 187 398 190 207
-215 188 400 192 208
-216 399 191 205 186
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-218 177 212 424 414
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-220 209 179 422 415
-221 396 180 203 173
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-223 176 178 201 395
-224 177 202 174 394
-225 200 390 171 424
-226 198 169 422 392
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-228 199 389 170 423
-229 385 201 162 197
-230 198 387 203 163
-231 386 200 204 161
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-234 188 194 414 164
-235 187 193 163 416
-236 161 415 185 196
-237 158 202 411 182
-238 203 412 160 183
-239 157 201 410 184
-240 409 159 181 204
-241 156 190 382 417
-242 154 418 192 383
-243 155 420 191 384
-244 419 189 381 153
-245 209 410 193 150
-246 212 412 151 196
-247 211 409 194 152
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-249 408 169 149 193
-250 170 194 151 405
-251 407 172 195 152
-252 171 150 196 406
-253 125 158 401 417
-254 418 126 160 402
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-256 419 157 127 403
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-260 209 212 147 380
-261 144 184 208 406
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-264 143 408 182 206
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-266 198 155 136 373
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-268 374 199 134 153
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-270 110 371 207 175
-271 176 112 370 208
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-273 122 189 367 137
-274 121 365 190 140
-275 123 366 192 139
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-364 286 310 300 455
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-376 265 347 447 327
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-379 286 258 468 306
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-382 290 325 241 450
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-386 231 458 295 318
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-389 297 348 228 437
-390 440 300 225 347
-391 299 345 227 438
-392 298 346 226 439
-393 222 289 433 313
-394 224 290 314 435
-395 223 434 292 316
-396 221 291 315 436
-397 277 333 443 213
-398 278 334 444 214
-399 441 279 336 216
-400 442 280 335 215
-401 253 442 314 283
-402 254 444 282 315
-403 441 256 316 284
-404 255 443 313 281
-405 453 344 250 263
-406 343 454 261 252
-407 342 456 251 262
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-409 464 247 240 340
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-411 462 237 248 337
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-414 310 234 466 218
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-419 244 256 436 460
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-421 440 227 449 219
-422 220 452 226 437
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-424 451 225 218 438
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-429 89 453 433 437
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-431 92 456 435 438
-432 90 455 434 439
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-434 432 479 395 417
-435 420 431 477 394
-436 396 419 430 478
-437 429 473 389 422
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-439 475 432 423 392
-440 430 474 421 390
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-442 400 401 470 427
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-444 398 402 425 471
-445 365 477 425 373
-446 374 366 478 427
-447 376 368 480 428
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-449 421 369 381 469
-450 423 370 382 470
-451 424 372 384 472
-452 422 371 383 471
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-454 430 470 362 406
-455 364 408 432 472
-456 363 407 431 471
-457 385 353 477 417
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-459 420 388 356 480
-460 419 387 355 479
-461 352 473 410 428
-462 474 411 350 427
-463 476 412 425 351
-464 409 475 349 426
-465 473 377 357 413
-466 474 378 358 414
-467 476 380 360 416
-468 475 379 359 415
-469 441 2 453 449
-470 442 3 454 450
-471 452 444 5 456
-472 451 443 4 455
-473 3 465 437 461
-474 440 462 4 466
-475 464 5 468 439
-476 463 2 467 438
-477 3 445 435 457
-478 5 446 436 458
-479 2 434 448 460
-480 4 433 447 459
0

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