C4graphGraph forms for C4 [ 512, 147 ] = UG(ATD[512,281])

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On this page are computer-accessible forms for the graph C4[ 512, 147 ] = UG(ATD[512,281]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {92, 93} under the group generated by the following permutations:

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

(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, 147 ]
512
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-2 165 61 29 85
-3 89 189 37 73
-4 332 113 201 249
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-6 49 94 238 197
-7 253 156 137 225
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-382 72 338 437 503
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-391 375 464 422 383
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-431 288 468 481 295
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-449 475 278 435 296
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-456 100 377 269 359
-457 497 303 262 504
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-459 506 496 299 311
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-461 266 299 498 503
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-463 495 508 303 307
-464 112 311 391 512
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-466 352 451 400 361
-467 342 453 345 447
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-469 70 512 337 505
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-471 216 493 504 208
-472 365 442 498 218
-473 407 355 432 334
-474 454 445 349 361
-475 343 398 345 449
-476 178 420 212 273
-477 342 452 399 348
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-479 209 276 179 417
-480 352 364 455 448
-481 419 431 344 346
-482 451 211 453 180
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-484 275 405 351 362
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-487 341 276 346 406
-488 353 452 455 336
-489 443 509 185 230
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-491 496 72 392 339
-492 508 499 214 206
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-494 374 410 284 383
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-509 386 422 489 282
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-512 222 464 412 469
0

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