C4graphGraph forms for C4 [ 512, 52 ] = CPM(16,2,4,1)

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On this page are computer-accessible forms for the graph C4[ 512, 52 ] = CPM(16,2,4,1).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {40, 41} under the group generated by the following permutations:

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

(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, 52 ]
512
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-2 509 324 457 174
-3 154 313 424 229
-4 222 255 412 259
-5 178 41 349 98
-6 177 464 508 149
-7 342 419 236 512
-8 188 254 410 270
-9 501 414 54 373
-10 486 69 148 54
-11 353 259 73 194
-12 267 260 459 53
-13 444 227 482 373
-14 429 126 282 384
-15 264 488 51 87
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-19 354 137 206 294
-20 143 71 434 261
-21 1 376 212 162
-22 33 508 509 416
-23 121 226 172 274
-24 133 48 326 119
-25 199 47 322 390
-26 291 391 458 438
-27 52 262 186 472
-28 365 146 392 118
-29 324 447 416 505
-30 363 182 62 161
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-32 231 265 300 423
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-34 144 386 365 82
-35 78 133 301 401
-36 166 265 191 284
-37 199 479 151 362
-38 187 148 282 494
-39 495 155 309 399
-40 444 501 359 41
-41 100 5 40 338
-42 199 300 16 347
-43 242 155 268 294
-44 132 275 257 192
-45 323 183 350 142
-46 313 314 402 240
-47 320 25 511 370
-48 419 24 181 84
-49 407 148 459 130
-50 210 463 114 327
-51 397 200 15 227
-52 187 69 27 359
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-54 289 105 9 10
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-57 94 237 228 494
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-59 179 193 64 120
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-182 441 256 30 141
-183 45 279 346 285
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-185 88 113 383 208
-186 27 501 403 130
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-191 36 192 302 172
-192 44 191 16 362
-193 80 59 412 128
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-195 222 443 181 128
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-197 506 266 377 161
-198 177 343 456 490
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-200 100 147 291 51
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-218 233 377 97 153
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-220 286 375 152 131
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-225 484 446 469 329
-226 23 81 237 350
-227 13 51 338 307
-228 57 465 503 472
-229 3 467 383 65
-230 166 387 455 16
-231 90 74 449 32
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-245 420 508 388 117
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-253 308 83 259 239
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-258 388 454 509 400
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-273 56 419 399 404
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-318 420 477 457 76
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-321 77 453 399 483
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-325 276 112 348 272
-326 319 342 24 480
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-329 225 270 108 98
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-336 134 189 431 256
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-391 167 201 26 414
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-479 275 37 348 370
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-484 225 139 63 164
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-494 111 57 38 262
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-509 22 352 2 258
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-511 165 47 292 347
-512 157 468 7 460
0

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