C4graphGraph forms for C4 [ 504, 56 ] = PL(MC3(6,42,1,8,19,21,2),[6^42,12^21])

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On this page are computer-accessible forms for the graph C4[ 504, 56 ] = PL(MC3(6,42,1,8,19,21,2),[6^42,12^21]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {244, 254} under the group generated by the following permutations:

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

(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[ 504, 56 ]
504
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-2 286 255 455 336
-3 276 375 300 424
-4 253 254 355 437
-5 276 300 454 326
-6 364 355 334 437
-7 275 308 457 329
-8 268 293 480 493
-9 312 457 414 329
-10 275 308 419 376
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-12 484 420 260 504
-13 319 299 503 494
-14 364 266 334 362
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-35 454 326 403 405
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-38 265 353 365 291
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-251 386 321 290 400
-252 288 323 459 351
-253 135 4 85 108
-254 244 135 4 235
-255 1 56 2 15
-256 33 23 210 196
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-258 165 16 206 230
-259 144 244 235 141
-260 12 199 194 52
-261 177 47 203 75
-262 200 26 37 227
-263 34 45 24 73
-264 191 204 118 229
-265 66 233 38 241
-266 14 192 236 238
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-271 121 176 122 150
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-273 143 246 139 219
-274 90 69 116 41
-275 91 72 7 10
-276 3 58 5 40
-277 156 28 83 228
-278 154 46 148 164
-279 48 158 105 76
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0

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