C4graphGraph forms for C4 [ 512, 561 ] = SS[512,96]

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On this page are computer-accessible forms for the graph C4[ 512, 561 ] = SS[512,96].

(I) Following is a form readable by MAGMA:

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

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

(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, 561 ]
512
-1 2 3 4 5
-2 1 511 503 505
-3 1 508 509 504
-4 506 1 501 512
-5 1 507 510 502
-6 353 354 355 356
-7 341 342 343 344
-8 115 159 457 119
-9 122 116 160 459
-10 117 162 460 120
-11 121 161 458 118
-12 36 38 49 50
-13 35 47 37 48
-14 123 113 127 18
-15 114 126 18 130
-16 111 125 18 129
-17 112 124 18 128
-18 14 15 16 17
-19 113 59 94 449
-20 452 91 114 60
-21 112 92 62 450
-22 451 111 93 61
-23 77 86 141 87
-24 90 84 75 142
-25 89 139 85 76
-26 88 78 83 140
-27 66 143 453 98
-28 144 454 95 64
-29 145 456 96 65
-30 146 455 63 97
-31 66 101 93 96
-32 102 94 95 65
-33 99 91 63 98
-34 100 92 64 97
-35 155 13 82 108
-36 12 156 80 107
-37 110 13 81 158
-38 12 79 157 109
-39 453 69 80 105
-40 67 79 454 104
-41 70 81 103 456
-42 68 455 82 106
-43 154 78 72 449
-44 451 73 151 75
-45 452 71 152 76
-46 77 74 153 450
-47 13 148 75 65
-48 77 13 147 63
-49 12 78 150 64
-50 66 12 149 76
-51 67 102 82 72
-52 100 68 80 74
-53 79 101 70 73
-54 99 69 81 71
-55 367 357 307 351
-56 308 366 349 360
-57 352 365 358 306
-58 368 359 305 350
-59 303 347 369 19
-60 345 302 370 20
-61 22 346 304 372
-62 301 348 371 21
-63 33 48 325 30
-64 34 49 28 326
-65 47 29 328 32
-66 27 50 327 31
-67 357 40 51 317
-68 358 52 42 318
-69 320 39 360 54
-70 319 359 41 53
-71 45 353 323 54
-72 321 355 51 43
-73 44 354 324 53
-74 46 322 356 52
-75 44 24 47 313
-76 45 25 50 314
-77 23 46 48 316
-78 26 49 315 43
-79 310 38 40 53
-80 36 311 39 52
-81 37 312 41 54
-82 309 35 51 42
-83 341 298 309 26
-84 24 310 300 344
-85 297 342 25 312
-86 23 299 343 311
-87 23 289 295 339
-88 26 292 293 340
-89 25 290 294 338
-90 24 291 337 296
-91 33 299 20 317
-92 319 34 298 21
-93 22 297 31 318
-94 320 300 19 32
-95 288 28 295 32
-96 286 29 293 31
-97 34 287 30 294
-98 33 27 285 296
-99 33 277 282 54
-100 34 279 281 52
-101 280 31 53 284
-102 278 51 283 32
-103 334 281 41 273
-104 275 336 40 282
-105 335 39 283 274
-106 276 333 42 284
-107 266 36 269 329
-108 330 35 268 270
-109 265 332 38 272
-110 331 267 37 271
-111 22 16 261 307
-112 308 17 262 21
-113 264 14 19 306
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0

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