C4graphGraph forms for C4 [ 480, 539 ] = SS[480,13]

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On this page are computer-accessible forms for the graph C4[ 480, 539 ] = SS[480,13].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {1, 3} under the group generated by the following permutations:

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

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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

&Graph
C4[ 480, 539 ]
480
-1 2 3 4 5
-2 473 1 477 471
-3 1 474 480 470
-4 1 476 479 472
-5 1 475 478 469
-6 341 343 345 348
-7 342 344 346 347
-8 182 183 425 426
-9 180 181 427 428
-10 128 129 130 131
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-13 187 423 127 130
-14 125 422 131 186
-15 121 160 97 164
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-30 178 422 118 86
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-35 67 155 85 107
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-37 105 84 152 65
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-40 113 115 84 85
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-50 92 96 416 76
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-70 48 312 53 340
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-179 231 223 215 29
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-198 222 223 291 292
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-200 217 239 218 240
-201 211 213 302 313
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-203 212 216 304 315
-204 210 301 215 316
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-207 189 194 359 425
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-219 199 172 164 384
-220 199 167 381 173
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-223 198 179 159 403
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-226 398 159 174 185
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-228 157 400 173 186
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-231 429 364 179 148
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-234 147 160 182 395
-235 144 180 162 393
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-238 199 156 148 393
-239 396 200 157 150
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-242 143 378 137 152
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-245 168 400 128 196
-246 397 169 193 130
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-249 144 389 172 131
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-251 145 391 129 175
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-253 168 125 390 152
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-256 155 389 170 127
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-259 375 135 191 120
-260 121 134 376 192
-261 122 168 370 140
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-263 171 369 120 142
-264 143 123 170 371
-265 385 189 116 160
-266 386 191 117 162
-267 190 388 118 163
-268 387 192 161 119
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-270 145 113 191 405
-271 408 147 115 192
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-273 132 160 108 394
-274 133 393 163 109
-275 396 111 135 161
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-283 155 103 182 383
-284 102 180 153 384
-285 100 113 390 149
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-304 387 203 194 85
-305 143 377 83 193
-306 81 378 195 142
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-316 387 138 204 74
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-326 136 360 119 351
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-336 77 100 365 349
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-361 232 332 338 461
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-364 231 330 463 340
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-372 463 299 347 262
-373 341 289 465 257
-374 343 290 466 258
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-376 344 467 292 260
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-379 308 244 464 344
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-381 220 281 457 348
-382 347 282 458 217
-383 346 283 218 460
-384 345 459 284 219
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-386 266 302 434 314
-387 268 435 304 316
-388 267 433 303 315
-389 288 256 249 448
-390 253 446 250 285
-391 286 255 447 251
-392 254 287 445 252
-393 465 235 238 274
-394 233 466 237 273
-395 276 234 468 240
-396 275 236 467 239
-397 441 246 225 317
-398 444 247 226 318
-399 319 443 248 227
-400 320 442 245 228
-401 278 224 312 457
-402 222 311 280 458
-403 310 223 279 460
-404 221 309 277 459
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-406 269 215 293 439
-407 214 272 437 296
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-409 441 46 32 439
-410 34 47 444 437
-411 33 440 443 48
-412 45 442 31 438
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-414 454 49 447 19
-415 22 455 52 448
-416 445 456 50 21
-417 55 24 455 449
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-419 56 452 25 454
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-421 11 433 27 449
-422 452 14 435 30
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-424 451 12 28 436
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-426 446 205 436 8
-427 435 447 9 208
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-429 231 440 232 438
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-431 441 211 212 444
-432 209 210 442 443
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-434 473 386 423 428
-435 474 387 422 427
-436 385 475 424 426
-437 407 430 410 477
-438 429 412 478 405
-439 430 409 480 406
-440 429 408 411 479
-441 473 397 409 431
-442 432 476 400 412
-443 475 399 432 411
-444 474 398 431 410
-445 392 469 416 428
-446 390 413 426 470
-447 391 414 427 472
-448 389 425 415 471
-449 353 421 477 417
-450 420 355 423 478
-451 418 356 424 480
-452 419 354 422 479
-453 418 413 469 350
-454 419 414 349 470
-455 352 415 417 472
-456 420 416 471 351
-457 366 401 381 469
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-459 367 404 384 472
-460 365 403 383 471
-461 377 477 369 361
-462 378 478 370 362
-463 364 380 480 372
-464 363 379 479 371
-465 473 357 393 373
-466 374 474 358 394
-467 396 376 476 360
-468 375 475 359 395
-469 453 5 445 457
-470 3 454 446 458
-471 2 456 448 460
-472 4 455 447 459
-473 441 2 465 434
-474 3 444 466 435
-475 443 5 468 436
-476 442 4 433 467
-477 2 437 449 461
-478 462 5 438 450
-479 440 452 464 4
-480 451 463 3 439
0

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