C4graphGraph forms for C4 [ 468, 27 ] = PL(MSY(6,39,14,0))

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On this page are computer-accessible forms for the graph C4[ 468, 27 ] = PL(MSY(6,39,14,0)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {197, 235} under the group generated by the following permutations:

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

(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.

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&Graph
C4[ 468, 27 ]
468
-1 385 386 235 236
-2 319 320 235 236
-3 319 320 403 404
-4 253 254 403 404
-5 253 254 337 338
-6 421 422 337 338
-7 421 422 271 272
-8 355 356 271 272
-9 440 355 356 439
-10 440 289 290 439
-11 374 289 290 373
-12 374 457 458 373
-13 308 457 458 307
-14 308 391 392 307
-15 242 391 392 241
-16 242 325 326 241
-17 409 410 325 326
-18 409 410 259 260
-19 343 344 259 260
-20 343 344 427 428
-21 277 278 427 428
-22 277 278 361 362
-23 445 446 361 362
-24 445 446 295 296
-25 379 380 295 296
-26 463 464 379 380
-27 463 464 313 314
-28 397 398 313 314
-29 397 398 247 248
-30 331 332 247 248
-31 331 332 415 416
-32 265 266 415 416
-33 265 266 349 350
-34 433 434 349 350
-35 433 434 283 284
-36 367 368 283 284
-37 451 452 367 368
-38 451 452 301 302
-39 385 386 301 302
-40 464 465 236 237
-41 242 243 236 237
-42 242 243 248 249
-43 254 255 248 249
-44 254 255 260 261
-45 266 267 260 261
-46 266 267 272 273
-47 278 279 272 273
-48 278 279 284 285
-49 290 291 284 285
-50 297 290 291 296
-51 297 302 303 296
-52 308 309 302 303
-53 308 309 314 315
-54 320 321 314 315
-55 320 321 326 327
-56 332 333 326 327
-57 332 333 338 339
-58 344 345 338 339
-59 344 345 350 351
-60 356 357 350 351
-61 363 356 357 362
-62 363 368 369 362
-63 374 375 368 369
-64 374 375 380 381
-65 386 387 380 381
-66 386 387 392 393
-67 398 399 392 393
-68 398 399 404 405
-69 410 411 404 405
-70 410 411 416 417
-71 422 423 416 417
-72 429 422 423 428
-73 429 434 435 428
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-75 440 441 446 447
-76 452 453 446 447
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-80 321 322 237 238
-81 321 322 405 406
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-83 255 256 339 340
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-85 423 424 273 274
-86 357 358 273 274
-87 441 442 357 358
-88 441 442 291 292
-89 375 376 291 292
-90 375 376 459 460
-91 309 310 459 460
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-93 243 244 393 394
-94 243 244 327 328
-95 411 412 327 328
-96 411 412 261 262
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-98 429 430 345 346
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-100 363 364 279 280
-101 363 364 447 448
-102 297 298 447 448
-103 297 298 381 382
-104 465 466 381 382
-105 465 466 315 316
-106 399 400 315 316
-107 399 400 249 250
-108 333 334 249 250
-109 418 333 334 417
-110 418 267 268 417
-111 352 267 268 351
-112 352 435 436 351
-113 286 435 436 285
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-116 453 454 303 304
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-119 244 245 238 239
-120 244 245 250 251
-121 256 257 250 251
-122 256 257 262 263
-123 268 269 262 263
-124 275 268 269 274
-125 275 280 281 274
-126 286 287 280 281
-127 286 287 292 293
-128 298 299 292 293
-129 298 299 304 305
-130 310 311 304 305
-131 310 311 316 317
-132 322 323 316 317
-133 322 323 328 329
-134 334 335 328 329
-135 341 334 335 340
-136 341 346 347 340
-137 352 353 346 347
-138 352 353 358 359
-139 364 365 358 359
-140 364 365 370 371
-141 376 377 370 371
-142 376 377 382 383
-143 388 389 382 383
-144 388 389 394 395
-145 400 401 394 395
-146 407 400 401 406
-147 407 412 413 406
-148 418 419 412 413
-149 418 419 424 425
-150 430 431 424 425
-151 430 431 436 437
-152 442 443 436 437
-153 442 443 448 449
-154 454 455 448 449
-155 454 455 460 461
-156 466 467 460 461
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-158 323 324 239 240
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-160 407 408 257 258
-161 341 342 257 258
-162 341 342 425 426
-163 275 276 425 426
-164 275 276 359 360
-165 443 444 359 360
-166 443 444 293 294
-167 377 378 293 294
-168 462 377 378 461
-169 462 311 312 461
-170 396 311 312 395
-171 396 245 246 395
-172 330 245 246 329
-173 330 413 414 329
-174 264 413 414 263
-175 264 347 348 263
-176 431 432 347 348
-177 431 432 281 282
-178 365 366 281 282
-179 365 366 449 450
-180 299 300 449 450
-181 299 300 383 384
-182 467 468 383 384
-183 467 468 317 318
-184 401 402 317 318
-185 401 402 251 252
-186 335 336 251 252
-187 419 420 335 336
-188 419 420 269 270
-189 353 354 269 270
-190 353 354 437 438
-191 287 288 437 438
-192 287 288 371 372
-193 455 456 371 372
-194 455 456 305 306
-195 389 390 305 306
-196 463 235 468 240
-197 235 246 240 241
-198 246 247 241 252
-199 253 247 258 252
-200 253 264 258 259
-201 264 265 259 270
-202 265 276 270 271
-203 276 277 271 282
-204 277 288 282 283
-205 288 289 283 294
-206 289 300 294 295
-207 300 301 295 306
-208 301 312 306 307
-209 312 313 307 318
-210 319 313 324 318
-211 319 330 324 325
-212 330 331 325 336
-213 331 342 336 337
-214 342 343 337 348
-215 343 354 348 349
-216 354 355 349 360
-217 355 366 360 361
-218 366 367 361 372
-219 367 378 372 373
-220 378 379 373 384
-221 385 379 390 384
-222 385 396 390 391
-223 396 397 391 402
-224 397 408 402 403
-225 408 409 403 414
-226 409 420 414 415
-227 420 421 415 426
-228 421 432 426 427
-229 432 433 427 438
-230 433 444 438 439
-231 444 445 439 450
-232 451 445 456 450
-233 451 462 456 457
-234 462 463 457 468
-235 1 2 196 197
-236 1 2 40 41
-237 79 80 40 41
-238 79 80 118 119
-239 157 158 118 119
-240 157 158 196 197
-241 198 15 16 197
-242 15 16 41 42
-243 93 94 41 42
-244 93 94 119 120
-245 171 172 119 120
-246 198 171 172 197
-247 198 199 29 30
-248 29 30 42 43
-249 107 42 108 43
-250 121 107 108 120
-251 121 185 120 186
-252 198 199 185 186
-253 199 200 4 5
-254 44 4 5 43
-255 44 82 83 43
-256 121 122 82 83
-257 121 122 160 161
-258 199 200 160 161
-259 200 201 18 19
-260 44 45 18 19
-261 44 45 96 97
-262 122 123 96 97
-263 122 123 174 175
-264 200 201 174 175
-265 33 201 202 32
-266 33 45 46 32
-267 110 45 111 46
-268 110 111 123 124
-269 188 123 189 124
-270 188 189 201 202
-271 202 203 7 8
-272 46 47 7 8
-273 46 47 85 86
-274 124 125 85 86
-275 124 125 163 164
-276 202 203 163 164
-277 22 203 204 21
-278 22 47 48 21
-279 99 100 47 48
-280 99 100 125 126
-281 177 178 125 126
-282 177 178 203 204
-283 35 36 204 205
-284 35 36 48 49
-285 113 48 114 49
-286 113 114 126 127
-287 191 126 192 127
-288 191 192 204 205
-289 11 205 206 10
-290 11 49 50 10
-291 88 89 49 50
-292 88 89 127 128
-293 166 167 127 128
-294 166 167 205 206
-295 24 25 206 207
-296 24 25 50 51
-297 102 103 50 51
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-299 180 181 128 129
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-304 116 117 129 130
-305 194 129 195 130
-306 194 195 207 208
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-309 91 92 52 53
-310 91 92 130 131
-311 169 170 130 131
-312 209 169 170 208
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-314 27 28 53 54
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-316 132 105 106 131
-317 132 183 184 131
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-319 210 2 211 3
-320 55 2 3 54
-321 55 80 81 54
-322 132 133 80 81
-323 132 133 158 159
-324 210 211 158 159
-325 211 212 16 17
-326 55 56 16 17
-327 55 56 94 95
-328 133 134 94 95
-329 133 134 172 173
-330 211 212 172 173
-331 212 213 30 31
-332 56 57 30 31
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-334 134 135 108 109
-335 187 134 135 186
-336 187 212 213 186
-337 213 5 214 6
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-339 57 58 83 84
-340 135 136 83 84
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-342 213 214 161 162
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-347 176 136 137 175
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-354 189 190 215 216
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-361 22 23 217 218
-362 22 23 61 62
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-364 100 101 139 140
-365 178 179 139 140
-366 178 179 217 218
-367 36 37 218 219
-368 36 37 62 63
-369 114 115 62 63
-370 114 115 140 141
-371 192 193 140 141
-372 192 193 218 219
-373 11 220 12 219
-374 11 12 63 64
-375 89 90 63 64
-376 89 90 141 142
-377 167 168 141 142
-378 220 167 168 219
-379 220 221 25 26
-380 25 26 64 65
-381 103 104 64 65
-382 143 103 104 142
-383 143 181 182 142
-384 220 221 181 182
-385 1 221 222 39
-386 66 1 39 65
-387 66 79 117 65
-388 143 144 79 117
-389 143 144 157 195
-390 221 222 157 195
-391 222 14 223 15
-392 66 67 14 15
-393 66 67 92 93
-394 144 145 92 93
-395 144 145 170 171
-396 222 223 170 171
-397 223 224 28 29
-398 67 68 28 29
-399 67 68 106 107
-400 145 146 106 107
-401 145 146 184 185
-402 223 224 184 185
-403 3 4 224 225
-404 68 3 69 4
-405 68 69 81 82
-406 146 81 147 82
-407 146 147 159 160
-408 224 159 225 160
-409 225 17 226 18
-410 69 70 17 18
-411 69 70 95 96
-412 147 148 95 96
-413 147 148 173 174
-414 225 226 173 174
-415 226 227 31 32
-416 70 71 31 32
-417 110 70 71 109
-418 110 148 149 109
-419 187 188 148 149
-420 187 188 226 227
-421 6 7 227 228
-422 71 6 72 7
-423 71 72 84 85
-424 149 84 150 85
-425 149 150 162 163
-426 227 162 228 163
-427 228 20 229 21
-428 72 73 20 21
-429 99 72 73 98
-430 99 150 151 98
-431 176 177 150 151
-432 176 177 228 229
-433 34 35 229 230
-434 34 35 73 74
-435 112 113 73 74
-436 112 113 151 152
-437 190 191 151 152
-438 190 191 229 230
-439 231 9 10 230
-440 74 9 75 10
-441 88 74 75 87
-442 88 152 87 153
-443 165 166 152 153
-444 165 231 166 230
-445 231 23 232 24
-446 23 24 75 76
-447 101 102 75 76
-448 154 101 102 153
-449 154 179 180 153
-450 231 232 179 180
-451 232 233 37 38
-452 77 37 38 76
-453 77 115 116 76
-454 154 155 115 116
-455 154 155 193 194
-456 232 233 193 194
-457 12 13 233 234
-458 77 12 78 13
-459 77 78 90 91
-460 155 90 156 91
-461 155 156 168 169
-462 233 168 234 169
-463 234 26 27 196
-464 78 26 27 40
-465 78 104 105 40
-466 156 104 105 118
-467 156 182 183 118
-468 234 182 183 196
0

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