C4graphGraph forms for C4 [ 504, 66 ] = PL(WH_84(21,1,43,54),[4^63,42^6])

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On this page are computer-accessible forms for the graph C4[ 504, 66 ] = PL(WH_84(21,1,43,54),[4^63,42^6]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {183, 255} under the group generated by the following permutations:

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

(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, 66 ]
504
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-2 275 357 371 437
-3 276 375 332 381
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-6 275 269 337 503
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-387 44 47 83 29
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-389 172 216 130 175
-390 166 117 65 120
-391 22 46 36 28
-392 58 69 102 72
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-394 223 226 142 197
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-479 191 183 184 109
-480 201 235 127 172
-481 168 137 105 163
-482 148 170 39 149
-483 198 232 245 240
-484 123 125 169 171
-485 231 144 192 197
-486 89 49 94 106
-487 223 226 206 239
-488 55 224 61 94
-489 122 168 116 75
-490 132 155 177 145
-491 222 207 240 208
-492 209 235 247 251
-493 110 68 117 139
-494 133 193 216 185
-495 57 83 51 107
-496 152 185 65 98
-497 44 110 80 26
-498 77 24 42 108
-499 34 15 51 8
-500 22 36 50 19
-501 58 28 72 52
-502 111 69 118 140
-503 14 6 7 76
-504 18 40 108 21
0

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