C4graphGraph forms for C4 [ 512, 627 ] = SS[512,181]

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On this page are computer-accessible forms for the graph C4[ 512, 627 ] = SS[512,181].

(I) Following is a form readable by MAGMA:

g:=Graph<512|{ {464, 465}, {1, 3}, {464, 466}, {45, 47}, {1, 2}, {464, 467}, {44, 47}, {1, 5}, {464, 468}, {297, 301}, {43, 47}, {41, 45}, {40, 44}, {1, 4}, {42, 47}, {33, 36}, {32, 37}, {25, 28}, {24, 29}, {296, 302}, {22, 30}, {375, 383}, {292, 300}, {35, 43}, {34, 42}, {23, 31}, {36, 45}, {372, 381}, {37, 44}, {293, 303}, {374, 380}, {373, 382}, {500, 511}, {22, 26}, {23, 27}, {38, 43}, {39, 42}, {496, 510}, {497, 511}, {485, 501}, {493, 509}, {487, 502}, {495, 510}, {462, 476}, {490, 504}, {459, 472}, {494, 509}, {491, 504}, {486, 501}, {289, 309}, {463, 475}, {461, 473}, {361, 381}, {360, 380}, {295, 306}, {234, 252}, {460, 474}, {449, 471}, {294, 304}, {288, 310}, {358, 382}, {459, 467}, {457, 465}, {448, 472}, {359, 383}, {230, 255}, {452, 477}, {451, 474}, {450, 475}, {298, 307}, {291, 314}, {290, 315}, {228, 254}, {481, 507}, {480, 506}, {456, 466}, {453, 479}, {451, 473}, {299, 305}, {231, 253}, {448, 475}, {492, 503}, {463, 468}, {453, 478}, {160, 189}, {462, 467}, {460, 465}, {458, 471}, {456, 469}, {449, 476}, {161, 188}, {160, 190}, {489, 503}, {488, 502}, {482, 508}, {458, 468}, {450, 476}, {291, 317}, {290, 316}, {161, 191}, {227, 253}, {224, 255}, {484, 507}, {483, 508}, {461, 466}, {457, 470}, {354, 381}, {353, 382}, {352, 383}, {136, 168}, {474, 506}, {473, 505}, {470, 502}, {469, 501}, {287, 319}, {286, 318}, {283, 315}, {282, 314}, {151, 183}, {148, 180}, {139, 171}, {137, 169}, {154, 186}, {206, 238}, {213, 245}, {214, 246}, {222, 254}, {68, 101}, {281, 312}, {211, 242}, {221, 252}, {67, 97}, {283, 313}, {136, 170}, {218, 248}, {219, 249}, {65, 98}, {455, 484}, {351, 380}, {152, 187}, {149, 182}, {71, 100}, {155, 184}, {207, 236}, {208, 243}, {66, 102}, {477, 505}, {455, 483}, {454, 482}, {452, 480}, {158, 186}, {69, 96}, {479, 506}, {285, 312}, {70, 99}, {158, 187}, {148, 178}, {287, 313}, {159, 185}, {64, 103}, {478, 505}, {476, 507}, {475, 508}, {454, 481}, {159, 184}, {77, 101}, {152, 176}, {83, 123}, {79, 103}, {78, 102}, {159, 183}, {276, 316}, {154, 179}, {159, 182}, {276, 317}, {82, 120}, {286, 308}, {87, 125}, {86, 124}, {155, 177}, {158, 180}, {277, 319}, {72, 99}, {468, 511}, {284, 311}, {84, 127}, {81, 122}, {74, 97}, {73, 98}, {158, 181}, {277, 318}, {76, 96}, {466, 510}, {465, 509}, {153, 181}, {85, 121}, {157, 177}, {137, 164}, {139, 166}, {138, 167}, {157, 176}, {194, 239}, {215, 250}, {217, 244}, {280, 309}, {80, 126}, {282, 308}, {156, 178}, {195, 237}, {75, 100}, {472, 503}, {471, 504}, {281, 310}, {280, 311}, {150, 185}, {144, 191}, {138, 165}, {156, 179}, {212, 251}, {216, 247}, {64, 112}, {94, 110}, {92, 108}, {88, 104}, {156, 172}, {200, 248}, {201, 249}, {268, 316}, {270, 318}, {67, 114}, {141, 188}, {134, 183}, {70, 119}, {69, 116}, {156, 173}, {197, 244}, {9, 59}, {143, 189}, {140, 190}, {135, 181}, {71, 117}, {68, 118}, {65, 115}, {28, 46}, {157, 175}, {199, 245}, {21, 38}, {89, 106}, {66, 113}, {29, 46}, {157, 174}, {192, 243}, {193, 242}, {268, 319}, {270, 317}, {9, 61}, {130, 182}, {95, 107}, {93, 105}, {26, 46}, {18, 39}, {129, 180}, {90, 111}, {27, 46}, {8, 62}, {153, 175}, {91, 109}, {8, 63}, {24, 32}, {131, 187}, {73, 113}, {71, 127}, {68, 124}, {25, 33}, {75, 114}, {151, 174}, {149, 172}, {128, 185}, {83, 106}, {6, 60}, {87, 109}, {85, 111}, {77, 119}, {67, 121}, {66, 120}, {65, 123}, {19, 41}, {69, 126}, {150, 173}, {135, 188}, {82, 105}, {79, 116}, {6, 58}, {132, 184}, {131, 191}, {130, 190}, {129, 189}, {76, 112}, {70, 122}, {31, 35}, {30, 34}, {20, 40}, {202, 246}, {203, 247}, {204, 240}, {205, 241}, {209, 237}, {64, 125}, {81, 108}, {78, 115}, {198, 251}, {210, 239}, {7, 57}, {86, 104}, {80, 110}, {72, 118}, {196, 250}, {7, 56}, {133, 186}, {84, 107}, {74, 117}, {15, 79}, {17, 81}, {185, 249}, {260, 324}, {13, 76}, {437, 500}, {433, 496}, {419, 482}, {418, 483}, {416, 481}, {414, 479}, {412, 477}, {172, 237}, {173, 236}, {175, 238}, {176, 241}, {187, 250}, {263, 326}, {10, 72}, {432, 498}, {428, 494}, {180, 246}, {181, 247}, {264, 330}, {265, 331}, {14, 77}, {413, 478}, {128, 195}, {177, 242}, {179, 240}, {182, 245}, {184, 251}, {132, 192}, {426, 494}, {155, 223}, {272, 340}, {11, 78}, {439, 498}, {438, 499}, {436, 497}, {417, 484}, {140, 201}, {272, 341}, {154, 220}, {427, 493}, {425, 495}, {264, 334}, {267, 333}, {273, 343}, {12, 75}, {134, 193}, {133, 194}, {16, 87}, {153, 222}, {273, 342}, {142, 198}, {440, 496}, {260, 332}, {15, 70}, {406, 479}, {404, 477}, {148, 221}, {141, 196}, {274, 347}, {275, 346}, {10, 64}, {143, 197}, {261, 335}, {274, 344}, {275, 345}, {405, 478}, {11, 71}, {17, 93}, {261, 329}, {267, 327}, {269, 321}, {188, 241}, {189, 240}, {271, 322}, {12, 66}, {13, 67}, {186, 244}, {262, 328}, {269, 323}, {14, 65}, {142, 193}, {16, 95}, {183, 248}, {266, 325}, {271, 320}, {15, 94}, {421, 500}, {146, 195}, {191, 238}, {10, 88}, {14, 92}, {11, 89}, {190, 236}, {145, 194}, {147, 192}, {258, 342}, {442, 494}, {423, 499}, {422, 498}, {263, 339}, {278, 322}, {16, 69}, {420, 497}, {146, 199}, {17, 68}, {257, 340}, {278, 323}, {12, 90}, {443, 493}, {441, 495}, {13, 91}, {262, 336}, {279, 321}, {256, 343}, {279, 320}, {17, 73}, {424, 496}, {48, 104}, {164, 252}, {165, 253}, {265, 337}, {266, 338}, {13, 84}, {63, 102}, {62, 103}, {54, 111}, {15, 86}, {166, 255}, {167, 254}, {10, 80}, {430, 500}, {16, 74}, {259, 345}, {56, 99}, {147, 200}, {145, 202}, {144, 203}, {59, 96}, {14, 82}, {431, 499}, {429, 497}, {52, 105}, {434, 495}, {285, 320}, {284, 321}, {60, 97}, {57, 100}, {55, 106}, {174, 243}, {178, 239}, {11, 85}, {435, 493}, {53, 107}, {51, 109}, {50, 108}, {12, 83}, {61, 98}, {58, 101}, {49, 110}, {161, 193}, {392, 488}, {161, 192}, {397, 492}, {160, 194}, {289, 323}, {288, 322}, {160, 195}, {163, 199}, {446, 474}, {386, 486}, {142, 235}, {445, 472}, {399, 490}, {398, 491}, {396, 489}, {163, 198}, {162, 196}, {447, 473}, {387, 485}, {385, 487}, {299, 333}, {143, 232}, {162, 197}, {140, 228}, {384, 488}, {295, 335}, {294, 334}, {292, 332}, {162, 202}, {162, 203}, {447, 470}, {444, 469}, {163, 201}, {445, 471}, {444, 470}, {390, 492}, {141, 230}, {446, 469}, {163, 200}, {389, 489}, {394, 486}, {391, 490}, {393, 487}, {395, 485}, {388, 491}, {402, 486}, {149, 224}, {293, 336}, {150, 227}, {151, 225}, {403, 485}, {401, 487}, {144, 231}, {407, 480}, {146, 229}, {145, 233}, {409, 481}, {400, 488}, {147, 234}, {411, 482}, {298, 339}, {296, 337}, {152, 226}, {297, 338}, {408, 483}, {410, 484}, {415, 480}, {300, 428}, {302, 431}, {98, 224}, {307, 433}, {99, 225}, {96, 227}, {305, 434}, {107, 232}, {104, 235}, {103, 226}, {111, 234}, {108, 233}, {109, 229}, {110, 231}, {106, 230}, {307, 447}, {105, 228}, {305, 447}, {381, 492}, {300, 446}, {301, 446}, {382, 490}, {383, 491}, {380, 489}, {30, 137}, {31, 136}, {19, 138}, {18, 136}, {21, 137}, {306, 430}, {304, 429}, {301, 435}, {20, 139}, {303, 432}, {55, 150}, {119, 214}, {53, 151}, {118, 212}, {48, 148}, {309, 401}, {119, 211}, {118, 210}, {115, 215}, {49, 149}, {112, 213}, {311, 402}, {310, 403}, {302, 395}, {117, 208}, {116, 209}, {303, 393}, {57, 145}, {312, 400}, {301, 389}, {300, 388}, {114, 218}, {50, 155}, {58, 147}, {32, 138}, {113, 219}, {51, 153}, {33, 139}, {52, 152}, {117, 217}, {116, 216}, {54, 154}, {61, 144}, {63, 146}, {316, 397}, {319, 398}, {60, 142}, {318, 396}, {317, 399}, {121, 203}, {62, 140}, {307, 391}, {314, 398}, {378, 463}, {379, 462}, {59, 141}, {377, 463}, {376, 462}, {313, 399}, {127, 201}, {126, 200}, {56, 143}, {315, 396}, {305, 390}, {125, 202}, {102, 222}, {372, 460}, {124, 196}, {101, 220}, {373, 460}, {308, 397}, {304, 394}, {375, 461}, {306, 392}, {100, 223}, {374, 461}, {97, 221}, {115, 207}, {113, 205}, {120, 197}, {123, 198}, {122, 199}, {112, 206}, {114, 204}, {358, 420}, {363, 425}, {362, 424}, {359, 421}, {348, 410}, {355, 421}, {349, 411}, {350, 409}, {73, 129}, {353, 425}, {78, 134}, {75, 131}, {74, 130}, {76, 133}, {351, 406}, {121, 176}, {120, 178}, {354, 424}, {79, 132}, {352, 427}, {77, 128}, {339, 414}, {125, 179}, {361, 423}, {360, 422}, {357, 427}, {356, 426}, {72, 135}, {338, 413}, {126, 177}, {322, 402}, {369, 417}, {341, 389}, {340, 388}, {332, 412}, {320, 401}, {370, 419}, {343, 390}, {342, 391}, {321, 403}, {368, 418}, {345, 395}, {344, 394}, {333, 415}, {124, 175}, {371, 416}, {347, 392}, {346, 393}, {323, 400}, {127, 172}, {123, 174}, {122, 173}, {88, 128}, {90, 130}, {89, 129}, {324, 413}, {327, 414}, {326, 415}, {325, 412}, {92, 135}, {94, 133}, {93, 134}, {95, 131}, {348, 385}, {350, 387}, {349, 384}, {91, 132}, {355, 386}, {356, 384}, {357, 385}, {363, 398}, {362, 396}, {329, 417}, {370, 410}, {363, 387}, {362, 386}, {331, 418}, {368, 409}, {356, 397}, {330, 416}, {369, 411}, {357, 399}, {328, 419}, {371, 408}, {346, 438}, {377, 405}, {376, 404}, {344, 437}, {379, 406}, {378, 407}, {303, 449}, {375, 409}, {374, 408}, {345, 439}, {302, 449}, {373, 410}, {372, 411}, {347, 436}, {343, 440}, {342, 441}, {341, 442}, {340, 443}, {335, 416}, {334, 417}, {304, 448}, {366, 414}, {364, 412}, {313, 456}, {306, 448}, {367, 413}, {365, 415}, {337, 419}, {336, 418}, {315, 457}, {312, 458}, {314, 457}, {353, 405}, {359, 403}, {351, 426}, {354, 404}, {352, 407}, {358, 401}, {350, 422}, {377, 385}, {376, 384}, {367, 407}, {365, 405}, {349, 420}, {379, 386}, {378, 387}, {361, 400}, {360, 402}, {366, 404}, {364, 406}, {348, 423}, {355, 408}, {308, 456}, {330, 438}, {327, 443}, {326, 442}, {325, 441}, {324, 440}, {310, 459}, {379, 390}, {378, 391}, {377, 388}, {376, 389}, {375, 394}, {374, 395}, {373, 392}, {372, 393}, {328, 437}, {311, 458}, {309, 459}, {329, 439}, {331, 436}, {21, 277}, {166, 422}, {165, 420}, {168, 425}, {167, 421}, {170, 424}, {20, 279}, {169, 426}, {19, 278}, {18, 276}, {26, 272}, {29, 279}, {28, 278}, {27, 273}, {171, 423}, {26, 276}, {27, 277}, {28, 275}, {29, 274}, {164, 427}, {221, 453}, {222, 454}, {220, 453}, {223, 452}, {226, 454}, {227, 455}, {225, 452}, {224, 455}, {54, 268}, {55, 269}, {42, 273}, {53, 270}, {52, 271}, {43, 272}, {48, 268}, {51, 271}, {50, 270}, {49, 269}, {44, 275}, {45, 274}, {38, 358}, {39, 359}, {40, 362}, {41, 363}, {24, 351}, {22, 350}, {23, 349}, {23, 348}, {34, 366}, {41, 357}, {40, 356}, {35, 367}, {34, 365}, {39, 360}, {38, 361}, {35, 364}, {86, 263}, {90, 267}, {91, 264}, {36, 369}, {95, 266}, {83, 262}, {81, 260}, {37, 368}, {36, 371}, {94, 265}, {82, 261}, {37, 370}, {80, 264}, {92, 263}, {93, 262}, {88, 260}, {89, 261}, {87, 265}, {84, 267}, {85, 266}, {209, 436}, {7, 367}, {7, 366}, {208, 441}, {211, 442}, {6, 364}, {210, 440}, {6, 365}, {22, 355}, {204, 443}, {8, 368}, {25, 353}, {205, 437}, {206, 438}, {207, 439}, {8, 369}, {25, 352}, {9, 371}, {24, 354}, {9, 370}, {50, 434}, {164, 292}, {169, 297}, {49, 432}, {167, 294}, {170, 299}, {165, 295}, {168, 298}, {48, 435}, {54, 433}, {58, 435}, {56, 434}, {59, 432}, {60, 433}, {166, 296}, {171, 293}, {61, 429}, {63, 431}, {62, 430}, {57, 428}, {53, 428}, {55, 429}, {52, 431}, {32, 444}, {33, 444}, {51, 430}, {31, 445}, {30, 445}, {237, 328}, {253, 344}, {254, 347}, {255, 346}, {236, 330}, {238, 329}, {247, 336}, {168, 256}, {169, 257}, {170, 258}, {171, 259}, {249, 337}, {251, 338}, {252, 341}, {239, 325}, {248, 339}, {250, 334}, {242, 327}, {240, 326}, {243, 324}, {244, 332}, {241, 331}, {245, 335}, {246, 333}, {218, 287}, {213, 285}, {214, 286}, {215, 284}, {211, 287}, {18, 450}, {19, 451}, {204, 286}, {206, 284}, {207, 285}, {20, 451}, {21, 450}, {220, 258}, {223, 256}, {225, 257}, {226, 259}, {229, 259}, {232, 256}, {233, 257}, {235, 258}, {205, 289}, {212, 292}, {215, 295}, {216, 296}, {217, 297}, {234, 282}, {209, 288}, {210, 291}, {218, 299}, {235, 282}, {5, 503}, {208, 290}, {233, 283}, {213, 294}, {232, 283}, {3, 502}, {212, 290}, {2, 501}, {4, 508}, {3, 506}, {216, 289}, {5, 511}, {217, 291}, {2, 505}, {219, 288}, {4, 504}, {214, 298}, {228, 280}, {3, 510}, {229, 280}, {5, 507}, {219, 293}, {231, 281}, {2, 509}, {230, 281}, {4, 512}, {467, 512}, {498, 512}, {499, 512} }>;

(II) A more general form is to represent the graph as the orbit of {464, 465} under the group generated by the following permutations:

a: (2, 3)(4, 5)(10, 12)(11, 15)(13, 17)(14, 16)(18, 21)(19, 20)(22, 23)(24, 25)(26, 27)(28, 29)(30, 31)(32, 33)(34, 35)(36, 37)(38, 39)(40, 41)(42, 43)(44, 45)(48, 54)(49, 55)(50, 53)(51, 52)(56, 57)(58, 60)(59, 61)(62, 63)(64, 66)(65, 69)(67, 68)(70, 71)(72, 75)(73, 76)(74, 77)(78, 79)(80, 83)(81, 84)(82, 87)(85, 86)(88, 90)(89, 94)(91, 93)(92, 95)(96, 98)(97, 101)(99, 100)(102, 103)(104, 111)(105, 109)(106, 110)(107, 108)(112, 113)(114, 118)(115, 116)(117, 119)(120, 125)(121, 124)(122, 127)(123, 126)(128, 130)(129, 133)(131, 135)(132, 134)(136, 137)(138, 139)(140, 146)(141, 144)(142, 147)(143, 145)(148, 154)(149, 150)(151, 155)(152, 153)(164, 170)(165, 166)(167, 171)(168, 169)(172, 173)(174, 177)(175, 176)(178, 179)(180, 186)(181, 187)(182, 185)(183, 184)(188, 191)(189, 194)(190, 195)(192, 193)(196, 203)(197, 202)(198, 200)(199, 201)(204, 210)(205, 206)(207, 209)(208, 211)(212, 218)(213, 219)(214, 217)(215, 216)(220, 221)(222, 226)(223, 225)(224, 227)(228, 229)(230, 231)(232, 233)(234, 235)(236, 237)(238, 241)(239, 240)(242, 243)(244, 246)(245, 249)(247, 250)(248, 251)(252, 258)(253, 255)(254, 259)(256, 257)(260, 267)(261, 265)(262, 264)(263, 266)(272, 273)(274, 275)(276, 277)(278, 279)(284, 289)(285, 288)(286, 291)(287, 290)(292, 299)(293, 294)(295, 296)(297, 298)(300, 305)(301, 307)(302, 306)(303, 304)(308, 314)(309, 311)(310, 312)(313, 315)(316, 319)(317, 318)(320, 322)(321, 323)(324, 327)(325, 326)(328, 330)(329, 331)(332, 333)(334, 336)(335, 337)(338, 339)(340, 343)(341, 342)(344, 346)(345, 347)(348, 355)(349, 350)(351, 353)(352, 354)(356, 363)(357, 362)(358, 360)(359, 361)(364, 365)(366, 367)(368, 369)(370, 371)(372, 375)(373, 374)(376, 378)(377, 379)(380, 382)(381, 383)(384, 387)(385, 386)(388, 390)(389, 391)(392, 395)(393, 394)(396, 399)(397, 398)(400, 403)(401, 402)(404, 407)(405, 406)(408, 410)(409, 411)(412, 415)(413, 414)(416, 419)(417, 418)(420, 422)(421, 423)(424, 427)(425, 426)(428, 434)(429, 432)(430, 431)(433, 435)(436, 439)(437, 438)(440, 443)(441, 442)(446, 447)(448, 449)(456, 457)(458, 459)(460, 461)(462, 463)(465, 466)(467, 468)(469, 470)(471, 472)(473, 474)(475, 476)(477, 480)(478, 479)(481, 482)(483, 484)(485, 488)(486, 487)(489, 490)(491, 492)(493, 496)(494, 495)(497, 498)(499, 500)(501, 502)(503, 504)(505, 506)(507, 508)(509, 510)(511, 512)
b: (1, 22)(2, 30)(3, 26)(4, 355)(5, 350)(6, 428)(7, 435)(8, 417)(9, 419)(10, 120)(11, 132)(12, 126)(13, 134)(14, 125)(15, 129)(16, 123)(17, 133)(18, 466)(19, 361)(20, 358)(21, 473)(23, 444)(24, 385)(25, 384)(27, 470)(28, 488)(29, 487)(31, 469)(32, 348)(33, 349)(34, 509)(35, 446)(36, 411)(37, 410)(38, 451)(39, 464)(40, 382)(41, 381)(42, 465)(43, 474)(44, 373)(45, 372)(46, 502)(47, 460)(48, 56)(49, 205)(50, 54)(51, 207)(52, 213)(53, 60)(55, 216)(57, 58)(59, 328)(61, 337)(62, 329)(63, 334)(64, 82)(65, 87)(66, 80)(67, 183)(68, 194)(69, 83)(70, 180)(71, 192)(72, 178)(73, 94)(74, 174)(75, 200)(76, 93)(77, 202)(78, 91)(79, 89)(81, 186)(84, 193)(85, 184)(86, 189)(88, 197)(90, 177)(92, 179)(95, 198)(96, 262)(97, 151)(98, 265)(99, 148)(100, 147)(101, 145)(102, 264)(103, 261)(104, 143)(105, 112)(106, 116)(107, 142)(108, 154)(109, 115)(110, 113)(111, 155)(114, 248)(117, 243)(118, 239)(119, 246)(121, 159)(122, 158)(124, 160)(127, 161)(128, 162)(130, 157)(131, 163)(135, 156)(136, 456)(137, 505)(138, 423)(139, 420)(140, 238)(141, 237)(144, 249)(146, 250)(149, 241)(150, 247)(152, 245)(153, 236)(164, 477)(165, 171)(166, 497)(167, 499)(168, 308)(169, 478)(170, 313)(172, 188)(173, 181)(175, 190)(176, 182)(185, 203)(187, 199)(191, 201)(195, 196)(204, 339)(206, 228)(209, 230)(211, 333)(212, 325)(215, 229)(217, 324)(219, 231)(220, 233)(221, 225)(222, 330)(223, 234)(224, 331)(226, 335)(227, 336)(232, 235)(240, 263)(242, 267)(244, 260)(251, 266)(252, 452)(253, 293)(254, 438)(255, 436)(256, 282)(257, 453)(258, 283)(259, 295)(268, 434)(269, 289)(270, 433)(271, 285)(272, 506)(273, 457)(274, 393)(275, 392)(276, 510)(277, 447)(278, 400)(279, 401)(280, 284)(281, 288)(286, 298)(287, 299)(290, 441)(291, 440)(292, 412)(294, 431)(296, 429)(297, 413)(300, 364)(301, 367)(302, 304)(303, 344)(305, 319)(306, 345)(307, 318)(309, 321)(312, 322)(314, 343)(315, 342)(316, 495)(317, 496)(340, 479)(341, 480)(346, 347)(351, 377)(352, 376)(353, 356)(354, 357)(359, 467)(360, 468)(362, 490)(363, 492)(365, 494)(366, 493)(368, 484)(371, 482)(374, 475)(375, 476)(378, 489)(379, 491)(380, 463)(383, 462)(386, 504)(387, 503)(388, 406)(389, 407)(390, 398)(391, 396)(394, 449)(395, 448)(397, 425)(399, 424)(402, 458)(403, 459)(404, 427)(405, 426)(408, 508)(409, 507)(414, 443)(415, 442)(416, 454)(418, 455)(421, 512)(422, 511)(430, 439)(432, 437)(445, 501)(450, 461)(471, 486)(472, 485)(498, 500)
c: (1, 6, 157, 280)(2, 60, 175, 309)(3, 58, 176, 311)(4, 365, 177, 229)(5, 364, 174, 228)(7, 159, 8, 450)(9, 46, 283, 156)(10, 293, 383, 299)(11, 295, 384, 297)(12, 294, 381, 292)(13, 438, 385, 443)(14, 436, 380, 441)(15, 296, 387, 298)(16, 439, 382, 442)(17, 437, 386, 440)(18, 56, 185, 368)(19, 308, 186, 230)(20, 314, 180, 231)(21, 57, 182, 369)(22, 256, 122, 419)(23, 257, 127, 416)(24, 290, 120, 429)(25, 287, 125, 432)(26, 232, 173, 370)(27, 233, 172, 371)(28, 313, 179, 59)(29, 315, 178, 61)(30, 223, 199, 482)(31, 225, 201, 481)(32, 316, 197, 55)(33, 319, 202, 49)(34, 155, 146, 508)(35, 151, 140, 507)(36, 277, 145, 149)(37, 276, 143, 150)(38, 428, 130, 417)(39, 434, 128, 418)(40, 291, 129, 253)(41, 286, 133, 255)(42, 50, 195, 483)(43, 53, 190, 484)(44, 317, 189, 227)(45, 318, 194, 224)(47, 270, 160, 455)(48, 203, 321, 470)(51, 467, 478, 193)(52, 468, 479, 192)(54, 196, 323, 469)(62, 476, 367, 183)(63, 475, 366, 184)(64, 303, 352, 218)(65, 347, 489, 325)(66, 304, 354, 212)(67, 206, 487, 493)(68, 205, 486, 496)(69, 345, 490, 326)(70, 337, 350, 168)(71, 335, 349, 169)(72, 219, 375, 170)(73, 344, 362, 210)(74, 329, 358, 494)(75, 213, 372, 164)(76, 346, 357, 204)(77, 331, 360, 495)(78, 306, 376, 338)(79, 302, 378, 339)(80, 171, 491, 333)(81, 328, 355, 343)(82, 497, 351, 208)(83, 167, 492, 332)(84, 330, 348, 340)(85, 215, 488, 301)(86, 216, 485, 307)(87, 498, 353, 211)(88, 336, 359, 305)(89, 165, 356, 217)(90, 334, 361, 300)(91, 499, 377, 327)(92, 209, 374, 342)(93, 500, 379, 324)(94, 166, 363, 214)(95, 207, 373, 341)(96, 275, 399, 240)(97, 238, 401, 509)(98, 274, 396, 239)(99, 249, 409, 136)(100, 245, 411, 137)(101, 241, 402, 510)(102, 448, 404, 251)(103, 449, 407, 248)(104, 247, 403, 447)(105, 511, 406, 243)(106, 138, 397, 244)(107, 236, 410, 272)(108, 237, 408, 273)(109, 512, 405, 242)(110, 139, 398, 246)(111, 250, 400, 446)(112, 393, 427, 114)(113, 394, 424, 118)(115, 392, 389, 266)(116, 395, 391, 263)(117, 261, 420, 426)(119, 265, 422, 425)(121, 284, 502, 435)(123, 254, 503, 412)(124, 289, 501, 433)(126, 259, 504, 415)(131, 285, 460, 252)(132, 431, 463, 414)(134, 430, 462, 413)(135, 288, 461, 258)(141, 278, 456, 154)(142, 153, 459, 505)(144, 279, 457, 148)(147, 152, 458, 506)(158, 281, 451, 282)(161, 271, 464, 453)(162, 269, 444, 268)(163, 454, 445, 452)(181, 310, 473, 235)(187, 312, 474, 234)(188, 322, 466, 220)(191, 320, 465, 221)(198, 222, 472, 477)(200, 226, 471, 480)(260, 262, 421, 390)(264, 423, 388, 267)
d: (2, 5)(3, 4)(6, 9)(7, 8)(10, 11)(12, 15)(13, 16)(14, 17)(18, 20)(19, 21)(22, 24)(23, 25)(26, 29)(27, 28)(30, 32)(31, 33)(34, 37)(35, 36)(38, 41)(39, 40)(42, 44)(43, 45)(48, 55)(49, 54)(50, 52)(51, 53)(56, 63)(57, 62)(58, 61)(59, 60)(64, 71)(65, 68)(66, 70)(67, 69)(72, 78)(73, 77)(74, 76)(75, 79)(80, 85)(81, 82)(83, 86)(84, 87)(88, 89)(90, 94)(91, 95)(92, 93)(96, 97)(98, 101)(99, 102)(100, 103)(104, 106)(105, 108)(107, 109)(110, 111)(112, 117)(113, 119)(114, 116)(115, 118)(120, 122)(121, 126)(123, 124)(125, 127)(128, 129)(130, 133)(131, 132)(134, 135)(136, 139)(137, 138)(140, 145)(141, 142)(143, 146)(144, 147)(148, 150)(149, 154)(151, 153)(152, 155)(158, 159)(162, 163)(164, 165)(166, 170)(167, 169)(168, 171)(172, 179)(173, 178)(174, 175)(176, 177)(180, 185)(181, 183)(182, 186)(184, 187)(188, 193)(189, 195)(190, 194)(191, 192)(196, 198)(197, 199)(200, 203)(201, 202)(204, 209)(205, 211)(206, 208)(207, 210)(212, 215)(213, 217)(214, 219)(216, 218)(220, 224)(221, 227)(222, 225)(223, 226)(228, 233)(229, 232)(230, 235)(231, 234)(236, 239)(237, 240)(238, 243)(241, 242)(244, 245)(246, 249)(247, 248)(250, 251)(252, 253)(254, 257)(255, 258)(256, 259)(260, 261)(262, 263)(264, 266)(265, 267)(268, 269)(270, 271)(272, 274)(273, 275)(276, 279)(277, 278)(280, 283)(281, 282)(284, 290)(285, 291)(286, 288)(287, 289)(292, 295)(293, 298)(294, 297)(296, 299)(300, 306)(301, 304)(302, 305)(303, 307)(308, 310)(309, 313)(311, 315)(312, 314)(316, 321)(317, 320)(318, 322)(319, 323)(324, 329)(325, 330)(326, 328)(327, 331)(332, 335)(333, 337)(334, 338)(336, 339)(340, 347)(341, 344)(342, 346)(343, 345)(348, 353)(349, 352)(350, 354)(351, 355)(356, 359)(357, 358)(360, 362)(361, 363)(364, 371)(365, 370)(366, 368)(367, 369)(372, 378)(373, 377)(374, 379)(375, 376)(380, 386)(381, 387)(382, 385)(383, 384)(388, 392)(389, 394)(390, 395)(391, 393)(396, 402)(397, 403)(398, 400)(399, 401)(404, 409)(405, 410)(406, 408)(407, 411)(412, 416)(413, 417)(414, 418)(415, 419)(420, 427)(421, 426)(422, 424)(423, 425)(428, 430)(429, 435)(431, 434)(432, 433)(436, 443)(437, 442)(438, 441)(439, 440)(444, 445)(446, 448)(447, 449)(450, 451)(452, 454)(453, 455)(456, 459)(457, 458)(460, 463)(461, 462)(465, 468)(466, 467)(469, 472)(470, 471)(473, 476)(474, 475)(477, 481)(478, 484)(479, 483)(480, 482)(485, 492)(486, 489)(487, 490)(488, 491)(493, 497)(494, 500)(495, 499)(496, 498)(501, 503)(502, 504)(505, 507)(506, 508)(509, 511)(510, 512)
e: (1, 34, 461, 136)(2, 42, 466, 31)(3, 30, 473, 18)(4, 366, 375, 170)(5, 365, 374, 168)(6, 395, 256, 511)(7, 394, 258, 512)(8, 114, 419, 242)(9, 119, 417, 240)(10, 112, 133, 110)(11, 113, 123, 105)(12, 262, 134, 102)(13, 265, 126, 103)(14, 261, 129, 98)(15, 264, 125, 96)(16, 116, 132, 109)(17, 115, 120, 106)(19, 316, 487, 169)(20, 317, 488, 164)(21, 474, 26, 470)(22, 447, 450, 506)(23, 509, 47, 456)(24, 398, 381, 388)(25, 396, 382, 389)(27, 465, 43, 469)(28, 315, 358, 301)(29, 314, 361, 300)(32, 319, 372, 340)(33, 318, 373, 341)(35, 501, 273, 464)(36, 286, 410, 442)(37, 287, 411, 443)(38, 446, 46, 457)(39, 510, 445, 505)(40, 399, 384, 427)(41, 397, 385, 426)(44, 313, 349, 493)(45, 308, 348, 494)(48, 346, 233, 165)(49, 72, 213, 186)(50, 306, 221, 166)(51, 74, 216, 184)(52, 71, 205, 198)(53, 347, 234, 171)(54, 303, 225, 167)(55, 68, 207, 197)(56, 304, 220, 498)(57, 344, 235, 499)(58, 345, 232, 497)(59, 70, 334, 179)(60, 302, 223, 500)(61, 77, 329, 189)(62, 67, 337, 177)(63, 75, 328, 193)(64, 76, 94, 80)(65, 82, 89, 73)(66, 83, 93, 78)(69, 79, 91, 87)(81, 215, 178, 230)(84, 331, 200, 226)(85, 219, 174, 228)(86, 330, 202, 227)(88, 206, 194, 231)(90, 336, 183, 222)(92, 335, 180, 224)(95, 209, 192, 229)(97, 296, 155, 430)(99, 294, 154, 432)(100, 437, 142, 431)(101, 439, 143, 429)(104, 438, 145, 253)(107, 436, 147, 259)(108, 295, 148, 255)(111, 293, 151, 254)(117, 289, 251, 271)(118, 285, 244, 269)(121, 249, 157, 140)(122, 250, 156, 141)(124, 236, 162, 150)(127, 241, 163, 152)(128, 238, 160, 144)(130, 247, 159, 153)(131, 237, 161, 146)(135, 245, 158, 149)(137, 451, 276, 502)(138, 268, 393, 257)(139, 270, 392, 252)(172, 188, 199, 187)(173, 196)(175, 190, 203, 185)(176, 201)(181, 182)(191, 195)(204, 370, 211, 369)(208, 309, 338, 322)(210, 312, 332, 321)(212, 320, 217, 323)(214, 484, 326, 371)(218, 482, 327, 368)(239, 281, 260, 284)(243, 280, 266, 288)(246, 455, 263, 416)(248, 454, 267, 418)(272, 444, 277, 460)(274, 282, 423, 428)(275, 283, 420, 435)(278, 290, 401, 297)(279, 291, 400, 292)(298, 507, 415, 408)(299, 508, 414, 409)(305, 475, 479, 350)(307, 476, 480, 355)(310, 324, 311, 325)(333, 483, 339, 481)(342, 467, 367, 486)(343, 468, 364, 485)(351, 363, 492, 377)(352, 362, 490, 376)(353, 489)(354, 491)(356, 357)(359, 496, 471, 477)(360, 495, 472, 478)(378, 379)(380, 425, 503, 405)(383, 424, 504, 404)(386, 391, 462, 407)(387, 390, 463, 406)(402, 441, 459, 413)(403, 440, 458, 412)(421, 433, 449, 452)(422, 434, 448, 453)
f: (2, 5, 3, 4)(6, 8)(7, 9)(10, 13, 12, 17)(11, 14, 15, 16)(18, 20, 21, 19)(22, 24, 23, 25)(26, 29, 27, 28)(30, 32, 31, 33)(34, 37, 35, 36)(38, 41, 39, 40)(42, 44, 43, 45)(48, 51, 54, 52)(49, 53, 55, 50)(56, 59, 57, 61)(58, 62, 60, 63)(64, 67, 66, 68)(65, 70, 69, 71)(72, 76, 75, 73)(74, 78, 77, 79)(80, 84, 83, 81)(82, 86, 87, 85)(88, 91, 90, 93)(89, 92, 94, 95)(96, 100, 98, 99)(97, 102, 101, 103)(104, 109, 111, 105)(106, 108, 110, 107)(112, 114, 113, 118)(115, 119, 116, 117)(120, 124, 125, 121)(122, 126, 127, 123)(128, 132, 130, 134)(129, 135, 133, 131)(136, 139, 137, 138)(140, 142, 146, 147)(141, 145, 144, 143)(148, 153, 154, 152)(149, 151, 150, 155)(156, 157)(160, 161)(164, 167, 170, 171)(165, 168, 166, 169)(172, 174, 173, 177)(175, 179, 176, 178)(180, 181, 186, 187)(182, 183, 185, 184)(188, 194, 191, 189)(190, 193, 195, 192)(196, 202, 203, 197)(198, 199, 200, 201)(204, 205, 210, 206)(207, 211, 209, 208)(212, 213, 218, 219)(214, 216, 217, 215)(220, 226, 221, 222)(223, 224, 225, 227)(228, 235, 229, 234)(230, 233, 231, 232)(236, 242, 237, 243)(238, 240, 241, 239)(244, 250, 246, 247)(245, 248, 249, 251)(252, 254, 258, 259)(253, 256, 255, 257)(260, 264, 267, 262)(261, 263, 265, 266)(268, 271)(269, 270)(272, 274, 273, 275)(276, 279, 277, 278)(280, 282)(281, 283)(284, 286, 289, 291)(285, 287, 288, 290)(292, 294, 299, 293)(295, 298, 296, 297)(300, 304, 305, 303)(301, 306, 307, 302)(308, 309, 314, 311)(310, 315, 312, 313)(316, 320, 319, 322)(317, 321, 318, 323)(324, 330, 327, 328)(325, 329, 326, 331)(332, 334, 333, 336)(335, 339, 337, 338)(340, 344, 343, 346)(341, 347, 342, 345)(348, 352, 355, 354)(349, 353, 350, 351)(356, 358, 363, 360)(357, 359, 362, 361)(364, 369, 365, 368)(366, 370, 367, 371)(372, 377, 375, 379)(373, 378, 374, 376)(380, 384, 382, 387)(381, 385, 383, 386)(388, 394, 390, 393)(389, 392, 391, 395)(396, 400, 399, 403)(397, 401, 398, 402)(404, 410, 407, 408)(405, 409, 406, 411)(412, 417, 415, 418)(413, 416, 414, 419)(420, 425, 422, 426)(421, 424, 423, 427)(428, 429, 434, 432)(430, 433, 431, 435)(436, 441, 439, 442)(437, 440, 438, 443)(444, 445)(446, 448, 447, 449)(450, 451)(452, 455)(453, 454)(456, 459, 457, 458)(460, 463, 461, 462)(465, 468, 466, 467)(469, 472, 470, 471)(473, 476, 474, 475)(477, 484, 480, 483)(478, 481, 479, 482)(485, 489, 488, 490)(486, 492, 487, 491)(493, 500, 496, 499)(494, 497, 495, 498)(501, 503, 502, 504)(505, 507, 506, 508)(509, 511, 510, 512)
g: (1, 10)(2, 88)(3, 72)(4, 64)(5, 80)(6, 297)(7, 441)(8, 439)(9, 295)(11, 47)(12, 46)(13, 450)(14, 444)(15, 464)(16, 445)(17, 451)(18, 84)(19, 73)(20, 93)(21, 67)(22, 130)(23, 131)(24, 123)(25, 120)(26, 90)(27, 75)(28, 66)(29, 83)(30, 74)(31, 95)(32, 65)(33, 82)(34, 117)(35, 266)(36, 261)(37, 115)(38, 121)(39, 127)(40, 134)(41, 129)(42, 71)(43, 85)(44, 78)(45, 89)(48, 493)(49, 500)(50, 305)(51, 303)(52, 171)(53, 170)(54, 340)(55, 344)(56, 495)(57, 342)(58, 301)(59, 306)(60, 169)(61, 165)(62, 498)(63, 345)(68, 474)(69, 472)(70, 466)(76, 475)(77, 469)(79, 467)(81, 473)(86, 465)(87, 471)(91, 476)(92, 470)(94, 468)(96, 448)(97, 137)(98, 138)(99, 510)(100, 273)(101, 446)(102, 275)(103, 512)(104, 509)(105, 139)(106, 274)(107, 136)(108, 447)(109, 449)(110, 511)(111, 272)(112, 508)(113, 278)(114, 277)(116, 459)(118, 506)(119, 456)(122, 461)(124, 460)(125, 504)(126, 503)(128, 501)(132, 462)(133, 463)(135, 502)(140, 422)(141, 392)(142, 426)(143, 425)(144, 420)(145, 391)(146, 395)(147, 389)(148, 427)(149, 421)(150, 394)(151, 424)(152, 423)(153, 393)(154, 388)(155, 390)(156, 383)(157, 381)(158, 385)(159, 386)(160, 387)(161, 384)(162, 382)(163, 380)(164, 221)(166, 228)(167, 224)(168, 232)(172, 359)(173, 375)(174, 354)(175, 372)(176, 361)(177, 492)(178, 352)(179, 491)(180, 357)(181, 487)(182, 355)(183, 362)(184, 379)(185, 486)(186, 377)(187, 348)(188, 488)(189, 363)(190, 350)(191, 349)(192, 376)(193, 356)(194, 378)(195, 485)(196, 373)(197, 353)(198, 351)(199, 374)(200, 489)(201, 360)(202, 490)(203, 358)(204, 319)(205, 323)(206, 482)(207, 368)(208, 366)(209, 310)(210, 480)(211, 308)(212, 479)(213, 483)(214, 313)(215, 370)(216, 309)(217, 365)(218, 318)(219, 322)(220, 300)(222, 346)(223, 343)(225, 496)(226, 499)(227, 304)(229, 302)(230, 347)(231, 497)(233, 307)(234, 341)(235, 494)(236, 409)(237, 403)(238, 411)(239, 407)(240, 398)(241, 400)(242, 397)(243, 404)(244, 405)(245, 408)(246, 399)(247, 401)(248, 396)(249, 402)(250, 410)(251, 406)(253, 429)(254, 255)(257, 433)(258, 428)(259, 431)(260, 505)(262, 279)(263, 457)(264, 507)(265, 458)(267, 276)(268, 443)(269, 437)(270, 299)(271, 293)(280, 296)(281, 436)(282, 442)(283, 298)(284, 419)(285, 418)(286, 287)(290, 414)(291, 415)(292, 453)(294, 455)(311, 337)(312, 331)(314, 326)(315, 339)(316, 327)(317, 333)(320, 336)(321, 328)(324, 477)(325, 367)(329, 369)(330, 481)(332, 478)(334, 484)(335, 371)(338, 364)(412, 413)(430, 432)(438, 454)(440, 452)

(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[ 512, 627 ]
512
-1 2 3 4 5
-2 1 509 501 505
-3 506 1 510 502
-4 1 508 512 504
-5 1 507 511 503
-6 364 365 58 60
-7 56 57 366 367
-8 368 369 62 63
-9 59 61 370 371
-10 88 80 72 64
-11 78 89 71 85
-12 66 90 83 75
-13 67 91 84 76
-14 77 92 82 65
-15 79 70 94 86
-16 69 95 74 87
-17 68 81 93 73
-18 276 136 39 450
-19 451 278 138 41
-20 451 279 40 139
-21 277 38 137 450
-22 355 26 30 350
-23 27 348 349 31
-24 354 29 32 351
-25 33 352 353 28
-26 22 276 46 272
-27 23 46 277 273
-28 275 46 25 278
-29 24 46 279 274
-30 22 34 137 445
-31 23 35 136 445
-32 24 37 444 138
-33 25 36 444 139
-34 365 366 30 42
-35 364 367 31 43
-36 33 45 369 371
-37 44 368 370 32
-38 358 361 21 43
-39 18 359 360 42
-40 44 356 20 362
-41 363 45 357 19
-42 34 47 39 273
-43 35 47 38 272
-44 275 47 37 40
-45 36 47 41 274
-46 26 27 28 29
-47 44 45 42 43
-48 268 104 148 435
-49 110 432 269 149
-50 155 434 270 108
-51 430 271 109 153
-52 431 105 271 152
-53 270 107 151 428
-54 154 111 268 433
-55 429 269 106 150
-56 99 143 434 7
-57 100 145 7 428
-58 101 147 6 435
-59 432 96 9 141
-60 433 6 97 142
-61 429 144 9 98
-62 430 103 8 140
-63 431 102 146 8
-64 112 103 125 10
-65 123 14 115 98
-66 12 102 113 120
-67 121 13 114 97
-68 101 124 17 118
-69 16 126 116 96
-70 99 122 15 119
-71 11 100 127 117
-72 99 135 118 10
-73 113 17 129 98
-74 16 117 97 130
-75 12 100 114 131
-76 133 13 112 96
-77 101 14 128 119
-78 11 134 102 115
-79 132 15 103 116
-80 110 264 126 10
-81 122 17 260 108
-82 14 105 261 120
-83 12 123 106 262
-84 13 267 127 107
-85 11 121 111 266
-86 124 15 104 263
-87 265 125 16 109
-88 104 128 260 10
-89 11 106 129 261
-90 12 111 267 130
-91 132 264 13 109
-92 14 135 108 263
-93 134 17 105 262
-94 110 133 265 15
-95 266 16 107 131
-96 69 59 227 76
-97 67 221 60 74
-98 224 61 73 65
-99 56 70 225 72
-100 57 223 71 75
-101 77 220 68 58
-102 66 78 222 63
-103 79 226 62 64
-104 88 48 235 86
-105 82 93 52 228
-106 55 89 83 230
-107 232 84 95 53
-108 233 81 92 50
-109 91 51 229 87
-110 231 80 49 94
-111 90 234 85 54
-112 213 206 64 76
-113 66 73 205 219
-114 67 204 75 218
-115 78 215 207 65
-116 209 79 69 216
-117 71 74 217 208
-118 210 68 212 72
-119 77 211 70 214
-120 66 178 82 197
-121 176 67 203 85
-122 199 70 81 173
-123 198 83 174 65
-124 68 86 196 175
-125 179 202 64 87
-126 177 200 69 80
-127 201 71 84 172
-128 77 88 195 185
-129 89 189 180 73
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0

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