C4graphGraph forms for C4 [ 500, 25 ] = PL(Br(10,25;7))

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On this page are computer-accessible forms for the graph C4[ 500, 25 ] = PL(Br(10,25;7)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {227, 251} under the group generated by the following permutations:

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

(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[ 500, 25 ]
500
-1 431 432 251 252
-2 321 322 251 252
-3 321 322 391 392
-4 462 391 392 461
-5 462 281 282 461
-6 352 281 282 351
-7 352 421 422 351
-8 421 422 491 492
-9 311 312 491 492
-10 311 312 381 382
-11 451 452 381 382
-12 451 452 271 272
-13 341 342 271 272
-14 341 342 411 412
-15 411 412 481 482
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-23 291 292 471 472
-24 291 292 361 362
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-34 332 322 333 323
-35 342 332 343 333
-36 352 342 353 343
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-38 363 372 362 373
-39 382 372 383 373
-40 392 382 393 383
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-193 418 429 419 428
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-208 429 430 499 500
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-213 279 280 349 350
-214 419 420 349 350
-215 419 420 489 490
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-218 379 380 449 450
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-221 409 410 339 340
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-223 299 300 479 480
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-228 280 270 271 261
-229 290 280 281 271
-230 300 290 291 281
-231 310 300 301 291
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-233 330 320 321 311
-234 330 331 321 340
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-236 341 360 350 351
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-239 390 380 381 371
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-243 430 420 421 411
-244 440 430 431 421
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-250 500 490 491 481
-251 1 2 226 227
-252 1 2 26 27
-253 26 27 51 52
-254 77 51 52 76
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-258 176 177 151 152
-259 176 177 201 202
-260 201 202 226 227
-261 227 19 228 20
-262 27 28 19 20
-263 69 70 27 28
-264 77 78 69 70
-265 77 78 119 120
-266 127 128 119 120
-267 169 170 127 128
-268 177 178 169 170
-269 220 177 178 219
-270 220 227 228 219
-271 12 13 228 229
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-274 78 79 62 63
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-280 212 213 228 229
-281 5 6 229 230
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-296 123 124 130 131
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-306 132 116 117 131
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-310 231 232 216 217
-311 232 233 9 10
-312 33 9 10 32
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-316 110 132 133 109
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-319 209 210 182 183
-320 209 210 232 233
-321 2 233 3 234
-322 33 34 2 3
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-324 83 84 52 53
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-326 133 134 102 103
-327 133 134 152 153
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-329 202 203 183 184
-330 233 234 202 203
-331 234 235 20 21
-332 34 35 20 21
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-364 88 74 75 87
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-371 17 18 238 239
-372 38 17 39 18
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-379 188 189 217 218
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-382 11 39 40 10
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-386 110 111 139 140
-387 160 139 161 140
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-392 3 4 40 41
-393 40 41 53 54
-394 90 91 53 54
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-397 154 140 141 153
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-399 190 191 203 204
-400 203 204 240 241
-401 22 242 21 241
-402 22 41 42 21
-403 71 72 41 42
-404 91 92 71 72
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-407 171 172 141 142
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-409 221 222 191 192
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-412 14 15 42 43
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-414 92 93 64 65
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-419 192 214 193 215
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-422 44 7 8 43
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-431 1 244 25 245
-432 44 1 45 25
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-439 201 225 194 195
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-446 145 146 118 119
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-449 195 196 218 219
-450 245 246 218 219
-451 11 12 246 247
-452 11 12 46 47
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-454 61 62 96 97
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-456 111 112 146 147
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-459 211 212 196 197
-460 211 212 246 247
-461 4 5 247 248
-462 47 4 48 5
-463 55 47 48 54
-464 55 97 54 98
-465 104 105 97 98
-466 147 104 148 105
-467 154 155 147 148
-468 154 198 155 197
-469 198 204 205 197
-470 247 204 248 205
-471 22 23 248 249
-472 22 23 48 49
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-474 99 72 73 98
-475 99 122 123 98
-476 122 123 148 149
-477 148 149 172 173
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-479 198 199 222 223
-480 222 223 248 249
-481 15 16 249 250
-482 15 16 49 50
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-485 99 100 115 116
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-487 165 166 149 150
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-489 199 200 215 216
-490 215 216 249 250
-491 226 8 250 9
-492 26 50 8 9
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-494 100 58 59 76
-495 100 108 76 109
-496 126 150 108 109
-497 158 126 159 150
-498 176 200 158 159
-499 176 209 200 208
-500 209 226 250 208
0

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