C4graphGraph forms for C4 [ 480, 555 ] = SS[480,39]

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On this page are computer-accessible forms for the graph C4[ 480, 555 ] = SS[480,39].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {20, 21} under the group generated by the following permutations:

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

(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, 555 ]
480
-1 2 3 4 5
-2 1 477 471 472
-3 1 478 469 470
-4 473 1 474 480
-5 1 475 476 479
-6 341 342 335 336
-7 337 338 339 340
-8 343 344 207 208
-9 209 210 345 346
-10 211 214 349 350
-11 212 213 347 348
-12 343 335 183 175
-13 176 344 336 184
-14 341 177 345 185
-15 342 178 346 186
-16 187 180 347 337
-17 188 181 348 338
-18 190 182 350 340
-19 189 179 349 339
-20 22 23 24 21
-21 26 20 31 32
-22 25 29 30 20
-23 35 36 28 20
-24 33 34 27 20
-25 22 169 38 170
-26 167 168 37 21
-27 24 40 173 174
-28 23 39 171 172
-29 22 194 41 196
-30 22 193 195 42
-31 198 200 41 21
-32 199 42 21 197
-33 44 24 192 206
-34 24 191 205 43
-35 44 23 202 204
-36 23 201 203 43
-37 420 135 26 136
-38 420 25 137 138
-39 419 28 139 140
-40 419 27 141 142
-41 135 137 29 31
-42 136 138 30 32
-43 34 36 140 142
-44 33 35 139 141
-45 71 72 73 74
-46 67 68 69 70
-47 51 183 52 186
-48 56 188 189 53
-49 57 58 184 185
-50 55 187 190 54
-51 47 301 302 98
-52 299 47 300 97
-53 297 298 91 48
-54 92 50 293 294
-55 287 288 50 94
-56 48 93 295 296
-57 289 290 49 96
-58 49 291 292 95
-59 88 288 80 290
-60 287 79 289 87
-61 90 82 292 294
-62 89 81 291 293
-63 78 300 84 296
-64 77 299 83 295
-65 298 302 86 76
-66 297 301 85 75
-67 46 79 80 92
-68 46 81 82 94
-69 46 93 85 86
-70 46 91 83 84
-71 45 89 90 96
-72 88 45 95 87
-73 77 45 78 98
-74 45 75 97 76
-75 66 74 118 206
-76 117 205 74 65
-77 116 204 73 64
-78 115 203 73 63
-79 198 67 112 60
-80 67 111 59 197
-81 68 114 62 196
-82 68 113 61 195
-83 70 114 202 64
-84 113 201 70 63
-85 66 112 69 192
-86 111 69 191 65
-87 200 60 72 116
-88 199 59 115 72
-89 71 62 194 118
-90 71 61 193 117
-91 211 70 105 53
-92 67 214 106 54
-93 56 69 213 107
-94 55 68 212 108
-95 209 58 72 109
-96 57 103 71 207
-97 210 104 52 74
-98 110 51 73 208
-99 177 103 104 175
-100 179 180 106 107
-101 181 105 182 108
-102 110 176 178 109
-103 99 133 134 96
-104 99 127 128 97
-105 101 91 129 130
-106 100 92 119 120
-107 121 100 122 93
-108 101 125 126 94
-109 123 102 124 95
-110 132 102 98 131
-111 122 80 86 120
-112 121 79 85 119
-113 82 126 84 130
-114 81 125 83 129
-115 88 132 78 124
-116 77 123 87 131
-117 90 134 128 76
-118 89 133 127 75
-119 112 156 358 106
-120 111 155 357 106
-121 154 112 356 107
-122 111 355 107 153
-123 352 144 116 109
-124 143 115 109 351
-125 352 114 108 152
-126 113 151 108 351
-127 354 104 150 118
-128 353 104 149 117
-129 354 114 148 105
-130 353 113 147 105
-131 110 146 356 116
-132 110 145 355 115
-133 103 158 358 118
-134 157 103 357 117
-135 37 148 150 41
-136 37 147 149 42
-137 154 146 38 41
-138 145 38 42 153
-139 44 156 158 39
-140 155 157 39 43
-141 44 144 40 152
-142 143 40 151 43
-143 124 278 422 142
-144 123 277 421 141
-145 132 434 138 272
-146 433 137 271 131
-147 276 432 136 130
-148 275 431 135 129
-149 430 136 128 274
-150 429 135 127 273
-151 126 280 142 428
-152 125 279 141 427
-153 122 138 282 426
-154 121 137 281 425
-155 286 424 140 120
-156 423 139 119 285
-157 134 436 140 284
-158 133 435 139 283
-159 264 266 422 424
-160 265 421 423 263
-161 430 260 426 262
-162 429 259 425 261
-163 256 432 258 434
-164 255 431 257 433
-165 268 270 436 428
-166 267 269 435 427
-167 26 269 270 415
-168 267 26 268 416
-169 418 265 266 25
-170 264 25 263 417
-171 418 28 261 262
-172 28 259 260 415
-173 255 256 27 416
-174 257 27 258 417
-175 99 12 239 240
-176 13 102 249 250
-177 99 242 14 241
-178 243 244 102 15
-179 100 19 251 252
-180 100 16 247 248
-181 101 245 246 17
-182 253 254 101 18
-183 12 47 273 274
-184 13 277 278 49
-185 14 49 283 284
-186 47 15 271 272
-187 286 16 50 285
-188 275 276 48 17
-189 48 281 282 19
-190 279 280 50 18
-191 264 34 232 86
-192 33 231 85 263
-193 90 236 30 262
-194 89 235 29 261
-195 82 258 30 230
-196 81 257 29 229
-197 80 226 260 32
-198 79 225 259 31
-199 88 256 224 32
-200 255 223 31 87
-201 36 270 84 228
-202 35 269 83 227
-203 78 266 36 238
-204 77 265 35 237
-205 34 234 268 76
-206 33 233 267 75
-207 237 238 8 96
-208 235 236 8 98
-209 233 234 95 9
-210 223 224 9 97
-211 91 225 226 10
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0

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