Graph forms
for C4 [ 512, 458 ] =
BGCG(UG(ATD[256,137]);K1;{37,40,42,43})
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On this page are computer-accessible forms for the graph C4[ 512, 458 ] =
BGCG(UG(ATD[256,137]);K1;{37,40,42,43}).
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {256, 297}, {256, 299}, {256, 305}, {256, 424}, {129, 385}, {145,
401}, {9, 264}, {252, 509}, {132, 389}, {121, 376}, {120, 377}, {113, 368}, {26,
283}, {97, 352}, {238, 495}, {22, 276}, {154, 408}, {48, 306}, {50, 304}, {69,
327}, {184, 442}, {213, 471}, {96, 355}, {178, 433}, {213, 470}, {70, 322},
{251, 511}, {130, 390}, {180, 432}, {212, 464}, {73, 332}, {93, 344}, {170,
431}, {16, 278}, {248, 510}, {154, 412}, {153, 415}, {150, 400}, {40, 302}, {50,
308}, {19, 276}, {157, 410}, {36, 291}, {228, 483}, {30, 278}, {119, 383}, {84,
348}, {176, 440}, {204, 452}, {1, 264}, {113, 376}, {73, 320}, {4, 270}, {127,
373}, {71, 333}, {237, 487}, {28, 279}, {131, 392}, {123, 368}, {93, 342}, {162,
425}, {215, 476}, {17, 285}, {174, 418}, {233, 485}, {41, 292}, {169, 420},
{194, 463}, {11, 261}, {35, 301}, {103, 361}, {109, 355}, {223, 465}, {243,
509}, {71, 328}, {151, 408}, {88, 343}, {162, 429}, {170, 421}, {177, 446},
{204, 451}, {132, 404}, {176, 416}, {70, 343}, {52, 294}, {58, 297}, {32, 308},
{34, 310}, {176, 420}, {239, 507}, {7, 274}, {149, 384}, {142, 411}, {170, 447},
{42, 316}, {232, 510}, {15, 280}, {16, 263}, {87, 320}, {217, 462}, {228, 499},
{47, 311}, {128, 408}, {124, 356}, {118, 366}, {214, 462}, {63, 294}, {66, 347},
{67, 346}, {68, 349}, {100, 381}, {214, 463}, {44, 310}, {166, 444}, {167, 445},
{177, 427}, {185, 419}, {190, 420}, {38, 317}, {184, 419}, {216, 451}, {239,
500}, {220, 448}, {192, 477}, {255, 482}, {195, 478}, {196, 473}, {106, 373},
{142, 401}, {186, 421}, {230, 505}, {35, 259}, {252, 476}, {37, 261}, {104,
328}, {187, 411}, {197, 485}, {98, 323}, {10, 296}, {49, 275}, {43, 264}, {246,
469}, {211, 496}, {65, 357}, {86, 370}, {201, 493}, {175, 394}, {181, 400},
{185, 412}, {186, 415}, {27, 317}, {78, 360}, {191, 409}, {193, 487}, {59, 284},
{133, 418}, {77, 362}, {80, 375}, {23, 319}, {130, 426}, {128, 424}, {91, 371},
{9, 288}, {248, 465}, {144, 441}, {169, 384}, {203, 482}, {243, 474}, {244,
477}, {231, 461}, {16, 315}, {64, 363}, {99, 328}, {218, 497}, {244, 479}, {40,
260}, {46, 258}, {75, 359}, {205, 481}, {14, 291}, {151, 442}, {117, 344}, {182,
411}, {15, 289}, {29, 307}, {54, 280}, {94, 368}, {217, 503}, {118, 345}, {251,
468}, {172, 387}, {40, 280}, {194, 498}, {196, 500}, {62, 271}, {82, 355}, {87,
358}, {146, 416}, {21, 294}, {254, 461}, {190, 397}, {239, 476}, {242, 449},
{13, 313}, {246, 450}, {127, 331}, {62, 267}, {71, 370}, {138, 444}, {240, 454},
{25, 302}, {121, 334}, {49, 262}, {54, 257}, {99, 340}, {189, 394}, {217, 494},
{3, 315}, {134, 446}, {6, 318}, {62, 262}, {103, 351}, {166, 414}, {184, 384},
{25, 288}, {148, 429}, {176, 393}, {178, 395}, {51, 265}, {118, 332}, {212,
494}, {55, 268}, {144, 427}, {57, 258}, {89, 354}, {90, 353}, {218, 486}, {237,
465}, {80, 365}, {120, 325}, {82, 364}, {155, 421}, {113, 335}, {168, 406},
{175, 401}, {8, 311}, {138, 437}, {20, 299}, {46, 273}, {14, 335}, {48, 369},
{56, 377}, {153, 475}, {236, 430}, {24, 347}, {152, 475}, {63, 380}, {173, 494},
{186, 505}, {215, 404}, {32, 356}, {249, 445}, {150, 466}, {48, 372}, {40, 365},
{149, 464}, {143, 458}, {136, 461}, {193, 388}, {49, 375}, {224, 422}, {240,
438}, {3, 324}, {59, 380}, {65, 262}, {68, 259}, {1, 329}, {115, 315}, {60,
372}, {96, 296}, {99, 299}, {106, 290}, {164, 492}, {47, 358}, {250, 435}, {147,
474}, {122, 307}, {64, 265}, {74, 259}, {171, 482}, {36, 366}, {253, 439}, {182,
508}, {41, 354}, {153, 466}, {5, 329}, {8, 324}, {38, 362}, {181, 505}, {211,
415}, {20, 345}, {53, 376}, {59, 374}, {68, 265}, {102, 299}, {51, 381}, {140,
450}, {84, 282}, {242, 444}, {21, 346}, {248, 439}, {60, 371}, {101, 298}, {230,
425}, {239, 416}, {68, 276}, {118, 294}, {84, 260}, {199, 407}, {206, 414},
{222, 398}, {223, 399}, {107, 314}, {247, 422}, {124, 301}, {21, 327}, {253,
431}, {161, 499}, {23, 325}, {162, 496}, {211, 385}, {224, 434}, {76, 287},
{155, 456}, {140, 479}, {116, 295}, {114, 289}, {97, 306}, {192, 403}, {70,
274}, {158, 458}, {152, 460}, {77, 281}, {92, 264}, {102, 306}, {183, 483},
{208, 388}, {19, 326}, {135, 466}, {91, 270}, {175, 506}, {190, 491}, {241,
420}, {122, 300}, {141, 475}, {226, 436}, {129, 470}, {192, 407}, {238, 441},
{189, 485}, {69, 284}, {129, 472}, {78, 279}, {179, 490}, {231, 446}, {31, 325},
{124, 295}, {156, 455}, {212, 399}, {234, 433}, {169, 501}, {180, 488}, {208,
396}, {12, 337}, {39, 378}, {114, 300}, {150, 456}, {143, 465}, {205, 403}, {39,
376}, {127, 288}, {114, 301}, {169, 457}, {212, 436}, {225, 385}, {26, 379},
{64, 289}, {3, 353}, {252, 414}, {104, 266}, {197, 423}, {83, 304}, {254, 413},
{246, 405}, {137, 490}, {18, 374}, {93, 313}, {220, 440}, {223, 443}, {46, 331},
{247, 402}, {160, 453}, {112, 277}, {163, 454}, {207, 426}, {4, 354}, {142,
488}, {94, 312}, {182, 464}, {201, 431}, {22, 369}, {113, 278}, {73, 302}, {92,
315}, {171, 460}, {31, 375}, {128, 488}, {119, 287}, {201, 417}, {11, 354},
{145, 504}, {100, 269}, {109, 260}, {220, 437}, {28, 374}, {255, 405}, {247,
413}, {72, 290}, {210, 440}, {151, 508}, {209, 442}, {228, 399}, {45, 321}, {55,
347}, {2, 367}, {139, 486}, {130, 495}, {18, 383}, {61, 336}, {216, 438}, {231,
393}, {20, 379}, {53, 346}, {90, 309}, {123, 267}, {127, 271}, {73, 312}, {145,
480}, {132, 501}, {76, 317}, {171, 474}, {172, 477}, {225, 400}, {23, 357}, {80,
290}, {108, 286}, {201, 443}, {58, 329}, {167, 468}, {174, 477}, {218, 425}, {7,
371}, {122, 270}, {17, 357}, {168, 476}, {207, 443}, {100, 273}, {101, 272},
{104, 285}, {180, 449}, {36, 338}, {141, 507}, {139, 509}, {72, 318}, {89, 303},
{103, 273}, {165, 467}, {194, 436}, {235, 413}, {58, 333}, {72, 319}, {43, 339},
{125, 261}, {167, 479}, {135, 510}, {251, 386}, {181, 460}, {4, 382}, {6, 380},
{47, 341}, {42, 337}, {245, 398}, {161, 474}, {152, 483}, {67, 312}, {74, 305},
{189, 454}, {7, 379}, {97, 285}, {195, 447}, {233, 405}, {235, 407}, {135, 506},
{9, 375}, {146, 492}, {109, 275}, {185, 455}, {226, 412}, {59, 324}, {200, 439},
{94, 478}, {210, 338}, {13, 396}, {248, 377}, {130, 259}, {115, 498}, {207,
334}, {117, 503}, {148, 278}, {21, 406}, {180, 311}, {220, 351}, {6, 386}, {29,
409}, {140, 265}, {200, 333}, {244, 369}, {85, 467}, {156, 282}, {95, 473},
{163, 293}, {233, 367}, {209, 342}, {219, 348}, {222, 345}, {236, 363}, {94,
470}, {232, 352}, {30, 407}, {150, 287}, {144, 281}, {117, 508}, {173, 292}, {7,
397}, {249, 371}, {79, 453}, {15, 388}, {161, 298}, {121, 498}, {60, 439}, {80,
475}, {213, 350}, {42, 422}, {157, 273}, {75, 455}, {79, 451}, {83, 478}, {159,
274}, {120, 501}, {28, 402}, {155, 277}, {55, 441}, {64, 462}, {39, 424}, {137,
262}, {133, 266}, {67, 460}, {79, 448}, {170, 293}, {227, 364}, {238, 353}, {61,
428}, {179, 290}, {234, 379}, {75, 473}, {255, 365}, {104, 506}, {196, 342},
{236, 382}, {115, 480}, {164, 304}, {174, 314}, {32, 437}, {52, 418}, {198,
336}, {241, 359}, {1, 406}, {253, 362}, {37, 434}, {83, 452}, {221, 330}, {65,
473}, {136, 272}, {97, 505}, {226, 378}, {229, 381}, {26, 387}, {254, 359},
{123, 481}, {194, 344}, {6, 413}, {114, 489}, {5, 409}, {45, 433}, {85, 457},
{8, 405}, {112, 493}, {50, 428}, {162, 316}, {133, 283}, {112, 494}, {57, 423},
{191, 289}, {219, 325}, {105, 502}, {116, 491}, {111, 496}, {224, 383}, {147,
307}, {159, 319}, {38, 391}, {92, 509}, {187, 282}, {191, 286}, {10, 424}, {122,
472}, {81, 499}, {193, 355}, {34, 385}, {157, 318}, {107, 456}, {186, 281},
{200, 363}, {229, 326}, {39, 387}, {91, 511}, {222, 378}, {230, 322}, {43, 398},
{60, 409}, {67, 486}, {34, 388}, {137, 303}, {35, 389}, {182, 272}, {229, 323},
{33, 390}, {249, 350}, {75, 492}, {88, 511}, {108, 459}, {183, 287}, {199, 367},
{210, 378}, {37, 396}, {38, 399}, {77, 484}, {185, 272}, {188, 277}, {232, 321},
{34, 392}, {125, 471}, {48, 410}, {110, 452}, {5, 430}, {250, 337}, {143, 292},
{131, 296}, {18, 441}, {24, 435}, {63, 403}, {247, 347}, {144, 316}, {134, 298},
{116, 472}, {105, 453}, {12, 417}, {159, 306}, {32, 397}, {202, 359}, {112,
478}, {148, 314}, {183, 281}, {71, 488}, {245, 346}, {105, 454}, {83, 483},
{126, 462}, {101, 469}, {163, 275}, {229, 341}, {100, 469}, {187, 266}, {188,
269}, {199, 374}, {15, 445}, {93, 495}, {184, 266}, {198, 372}, {90, 489}, {177,
258}, {237, 350}, {2, 438}, {251, 335}, {250, 334}, {145, 293}, {128, 308}, {5,
433}, {19, 423}, {24, 428}, {102, 466}, {208, 356}, {243, 327}, {14, 443}, {27,
430}, {87, 482}, {227, 342}, {74, 508}, {126, 456}, {189, 267}, {218, 364},
{228, 338}, {58, 397}, {147, 292}, {125, 458}, {117, 450}, {214, 353}, {89,
481}, {96, 472}, {198, 382}, {85, 492}, {255, 326}, {16, 426}, {27, 417}, {183,
269}, {215, 365}, {223, 357}, {234, 336}, {240, 330}, {50, 393}, {55, 396}, {57,
386}, {219, 352}, {81, 493}, {246, 330}, {160, 284}, {214, 362}, {232, 340},
{44, 401}, {132, 313}, {225, 348}, {25, 423}, {110, 464}, {3, 444}, {161, 286},
{120, 455}, {17, 430}, {43, 404}, {56, 391}, {78, 497}, {85, 490}, {51, 499},
{134, 326}, {54, 502}, {177, 369}, {181, 373}, {57, 504}, {65, 384}, {87, 406},
{82, 400}, {146, 336}, {174, 364}, {209, 275}, {213, 279}, {36, 487}, {151,
340}, {163, 352}, {23, 467}, {142, 330}, {133, 321}, {46, 490}, {52, 496}, {76,
392}, {102, 418}, {207, 267}, {78, 395}, {135, 322}, {171, 366}, {199, 258},
{244, 305}, {62, 504}, {141, 331}, {76, 394}, {202, 268}, {154, 349}, {179,
372}, {210, 277}, {224, 295}, {119, 447}, {156, 340}, {30, 471}, {252, 309},
{116, 445}, {188, 373}, {221, 276}, {10, 448}, {157, 343}, {66, 392}, {99, 425},
{106, 416}, {165, 367}, {203, 257}, {205, 263}, {49, 506}, {95, 404}, {204,
263}, {25, 469}, {81, 412}, {107, 422}, {53, 507}, {63, 497}, {69, 395}, {241,
319}, {108, 419}, {242, 317}, {173, 381}, {209, 257}, {84, 389}, {131, 338},
{98, 432}, {160, 370}, {139, 345}, {226, 304}, {33, 498}, {158, 333}, {33, 501},
{159, 331}, {79, 411}, {178, 358}, {219, 271}, {238, 314}, {28, 457}, {153,
332}, {126, 427}, {33, 500}, {56, 493}, {101, 432}, {111, 442}, {61, 491}, {249,
303}, {149, 323}, {110, 440}, {206, 280}, {4, 467}, {136, 351}, {51, 484}, {77,
410}, {81, 390}, {233, 318}, {242, 293}, {215, 271}, {240, 296}, {24, 449},
{158, 327}, {154, 323}, {26, 451}, {167, 382}, {197, 284}, {221, 260}, {222,
263}, {17, 459}, {44, 502}, {88, 387}, {140, 343}, {119, 428}, {89, 386}, {86,
394}, {245, 297}, {235, 311}, {2, 479}, {136, 341}, {111, 434}, {202, 279},
{243, 302}, {10, 468}, {141, 339}, {125, 419}, {208, 270}, {241, 303}, {18,
461}, {158, 321}, {126, 417}, {96, 447}, {211, 268}, {234, 309}, {82, 434},
{253, 285}, {195, 291}, {225, 257}, {22, 503}, {41, 459}, {124, 414}, {2, 481},
{12, 495}, {52, 471}, {13, 489}, {106, 398}, {19, 502}, {27, 510}, {42, 463},
{47, 458}, {86, 435}, {13, 491}, {168, 334}, {187, 349}, {66, 421}, {143, 360},
{74, 429}, {108, 395}, {203, 300}, {1, 489}, {148, 380}, {12, 484}, {45, 453},
{110, 390}, {22, 511}, {90, 435}, {196, 301}, {29, 503}, {121, 403}, {111, 389},
{165, 335}, {231, 269}, {95, 436}, {98, 393}, {203, 288}, {11, 487}, {35, 463},
{37, 457}, {45, 449}, {168, 324}, {216, 308}, {70, 427}, {139, 358}, {91, 438},
{173, 320}, {190, 339}, {202, 295}, {14, 480}, {205, 291}, {216, 310}, {245,
283}, {20, 507}, {134, 361}, {129, 366}, {166, 329}, {198, 297}, {227, 268}, {8,
504}, {137, 377}, {98, 402}, {188, 332}, {53, 452}, {152, 361}, {105, 408},
{107, 410}, {172, 349}, {179, 322}, {221, 300}, {109, 415}, {155, 361}, {56,
459}, {131, 368}, {175, 348}, {217, 298}, {237, 286}, {54, 450}, {156, 360},
{115, 391}, {172, 344}, {69, 432}, {160, 341}, {138, 383}, {88, 429}, {95, 426},
{103, 402}, {195, 310}, {72, 446}, {146, 356}, {66, 437}, {164, 339}, {166,
337}, {206, 313}, {30, 486}, {147, 363}, {138, 370}, {44, 468}, {29, 484}, {86,
431}, {193, 312}, {227, 282}, {11, 497}, {31, 485}, {178, 328}, {164, 351},
{254, 261}, {165, 350}, {123, 391}, {192, 316}, {9, 500}, {149, 360}, {61, 448},
{200, 309}, {204, 305}, {206, 307}, {230, 283}, {236, 274}, {31, 480}, {41,
470}, {191, 320}, {92, 512}, {197, 512}, {235, 512}, {250, 512} }>;
(II) A more general form is to represent the graph as the orbit of {256, 297}
under the group generated by the following permutations:
a: (2, 155)(4, 153)(5, 21)(6, 76)(7, 171)(8, 138)(9, 13)(10, 100)(11, 135)(12,
121)(14, 144)(15, 106)(16, 214)(17, 52)(18, 145)(19, 50)(20, 147)(22, 83)(23,
211)(24, 197)(25, 61)(26, 161)(27, 63)(28, 163)(29, 53)(30, 253)(31, 55)(32,
255)(33, 93)(34, 72)(35, 95)(36, 70)(37, 49)(38, 148)(39, 51)(40, 146)(41,
102)(42, 207)(43, 114)(44, 231)(45, 69)(46, 96)(47, 71)(48, 94)(54, 176)(56,
174)(57, 119)(58, 87)(59, 242)(60, 67)(62, 224)(64, 222)(65, 111)(66, 233)(68,
226)(73, 198)(74, 212)(75, 84)(77, 113)(78, 232)(79, 101)(80, 208)(81, 172)(82,
137)(85, 109)(86, 235)(88, 228)(89, 150)(90, 92)(91, 152)(97, 213)(98, 105)(99,
143)(103, 240)(104, 125)(107, 123)(108, 133)(110, 117)(112, 244)(115, 238)(116,
127)(118, 236)(120, 227)(122, 141)(124, 215)(126, 205)(128, 229)(129, 159)(130,
194)(131, 157)(132, 196)(134, 216)(136, 142)(139, 200)(140, 210)(149, 151)(158,
178)(160, 180)(162, 223)(164, 221)(165, 186)(166, 168)(167, 188)(169, 209)(170,
199)(173, 256)(175, 254)(177, 195)(179, 193)(181, 249)(183, 251)(185, 187)(189,
247)(190, 203)(191, 245)(192, 201)(202, 219)(204, 217)(206, 239)(218, 248)(220,
246)(225, 241)(230, 237)(234, 243)(257, 420)(258, 447)(259, 436)(260, 492)(261,
506)(262, 434)(263, 462)(264, 489)(265, 378)(266, 419)(267, 422)(268, 325)(269,
468)(270, 475)(271, 295)(272, 411)(273, 296)(274, 366)(275, 457)(276, 304)(277,
479)(278, 362)(279, 352)(280, 416)(281, 335)(282, 455)(283, 286)(284, 449)(285,
471)(287, 386)(288, 491)(289, 398)(290, 388)(291, 427)(292, 299)(293, 374)(294,
430)(297, 320)(298, 451)(300, 339)(301, 404)(302, 336)(303, 400)(305, 494)(306,
470)(307, 507)(308, 326)(309, 509)(310, 446)(311, 370)(312, 372)(313, 500)(314,
391)(315, 353)(316, 443)(317, 380)(318, 392)(319, 385)(321, 395)(322, 487)(323,
408)(324, 444)(327, 433)(328, 458)(329, 406)(330, 351)(331, 472)(332, 382)(333,
358)(334, 337)(338, 343)(340, 360)(341, 488)(342, 501)(344, 390)(345, 363)(346,
409)(347, 485)(348, 359)(349, 412)(350, 505)(354, 466)(355, 490)(356, 365)(357,
496)(361, 438)(364, 377)(367, 421)(368, 410)(369, 478)(371, 460)(373, 445)(375,
396)(376, 484)(379, 474)(381, 424)(383, 504)(384, 442)(387, 499)(389, 473)(393,
502)(394, 413)(397, 482)(399, 429)(401, 461)(402, 454)(403, 417)(405, 437)(407,
431)(414, 476)(415, 467)(418, 459)(423, 428)(425, 465)(426, 463)(432, 453)(435,
512)(439, 486)(440, 450)(441, 480)(448, 469)(452, 503)(456, 481)(464, 508)(477,
493)(483, 511)(495, 498)(497, 510) (III) Last is Groups&Graphs. Copy everything between (not including)
the lines of asterisks into a plain text file and save it as "graph.txt". Then
launch G&G (Groups&Graphs) and select Read Text from the File menu.
**************
&Graph **************
b: (1, 3)(2, 153)(4, 155)(5, 138)(6, 171)(7, 76)(8, 21)(9, 16)(10, 97)(11,
134)(12, 124)(13, 214)(14, 106)(15, 144)(17, 220)(18, 191)(19, 218)(20, 189)(22,
82)(23, 210)(24, 200)(25, 30)(26, 175)(27, 32)(28, 173)(29, 224)(31, 222)(33,
95)(34, 70)(35, 93)(36, 72)(37, 217)(38, 190)(39, 219)(40, 192)(41, 103)(42,
206)(43, 115)(44, 230)(45, 71)(46, 94)(47, 69)(48, 96)(49, 204)(50, 248)(51,
202)(52, 246)(53, 62)(54, 162)(55, 64)(56, 164)(57, 67)(58, 242)(59, 87)(60,
119)(61, 253)(63, 255)(65, 110)(66, 236)(68, 227)(73, 199)(74, 209)(75, 81)(77,
116)(78, 229)(79, 104)(80, 205)(83, 137)(84, 172)(85, 112)(86, 234)(88, 225)(89,
152)(91, 150)(98, 143)(99, 105)(100, 213)(101, 125)(102, 240)(107, 122)(108,
136)(109, 244)(111, 117)(113, 127)(114, 238)(118, 233)(120, 226)(121, 215)(123,
141)(126, 208)(128, 232)(129, 157)(130, 196)(131, 159)(132, 194)(133, 142)(135,
216)(139, 197)(140, 211)(145, 245)(146, 201)(147, 247)(148, 203)(154, 156)(158,
180)(160, 178)(161, 254)(163, 256)(165, 188)(167, 186)(169, 212)(170, 198)(174,
221)(176, 223)(177, 193)(179, 195)(181, 251)(182, 184)(183, 249)(207, 239)(228,
241)(231, 237)(235, 243)(250, 252)(257, 429)(258, 312)(259, 342)(260, 477)(261,
298)(262, 452)(263, 375)(264, 315)(265, 268)(266, 411)(267, 507)(269, 350)(270,
456)(271, 376)(272, 419)(273, 470)(274, 392)(275, 305)(276, 364)(277, 467)(278,
288)(279, 381)(280, 316)(281, 445)(282, 349)(283, 401)(284, 358)(285, 448)(286,
461)(287, 371)(289, 441)(290, 291)(292, 402)(293, 297)(294, 405)(295, 484)(296,
306)(299, 454)(300, 314)(301, 495)(302, 407)(303, 483)(304, 377)(307, 422)(308,
510)(309, 435)(310, 322)(311, 327)(313, 463)(317, 397)(318, 366)(319, 338)(320,
374)(321, 488)(323, 360)(324, 406)(325, 378)(326, 497)(328, 453)(329, 444)(330,
418)(331, 368)(332, 367)(333, 449)(334, 476)(335, 373)(336, 431)(337, 414)(339,
391)(340, 408)(341, 395)(343, 385)(344, 389)(345, 485)(346, 504)(347, 363)(348,
387)(351, 459)(352, 424)(353, 489)(354, 361)(355, 369)(356, 417)(357, 440)(359,
499)(362, 491)(365, 403)(370, 433)(372, 447)(379, 394)(380, 482)(382, 421)(383,
409)(384, 464)(386, 460)(388, 427)(390, 473)(393, 465)(396, 462)(398, 480)(399,
420)(400, 511)(404, 498)(410, 472)(412, 455)(413, 474)(415, 479)(416, 443)(423,
486)(425, 502)(426, 500)(428, 439)(430, 437)(432, 458)(434, 503)(436, 501)(438,
466)(442, 508)(446, 487)(450, 496)(451, 506)(457, 494)(468, 505)(469, 471)(475,
481)(478, 490)(492, 493)(509, 512)
c: (1, 5, 45, 133, 184, 209, 93, 13)(2, 199, 46, 100, 183, 83, 94, 123)(3, 7,
47, 135, 182, 211, 95, 15)(4, 197, 48, 98, 181, 81, 96, 121)(6, 72, 134, 155,
210, 36, 14, 251)(8, 70, 136, 153, 212, 34, 16, 249)(9, 29, 24, 245, 108, 163,
172, 37)(10, 63, 23, 19, 107, 176, 171, 201)(11, 31, 22, 247, 106, 161, 170,
39)(12, 61, 21, 17, 105, 174, 169, 203)(18, 141, 173, 76, 204, 213, 62, 140)(20,
143, 175, 74, 202, 215, 64, 138)(25, 77, 50, 67, 56, 240, 192, 85)(26, 125, 49,
117, 55, 43, 191, 242)(27, 79, 52, 65, 54, 238, 190, 87)(28, 127, 51, 119, 53,
41, 189, 244)(30, 137, 246, 144, 164, 73, 38, 216)(32, 139, 248, 142, 162, 75,
40, 214)(33, 122, 250, 198, 69, 97, 154, 82)(35, 124, 252, 200, 71, 99, 156,
84)(42, 146, 243, 253, 128, 218, 120, 221)(44, 148, 241, 255, 126, 220, 118,
223)(57, 157, 231, 152, 112, 131, 205, 165)(58, 178, 232, 187, 111, 196, 206,
90)(59, 159, 229, 150, 110, 129, 207, 167)(60, 180, 230, 185, 109, 194, 208,
92)(66, 222, 237, 145, 88, 254, 80, 217)(68, 224, 239, 147, 86, 256, 78,
219)(89, 233, 177, 103, 188, 228, 195, 113)(91, 235, 179, 101, 186, 226, 193,
115)(102, 149, 225, 130, 116, 168, 236, 160)(104, 151, 227, 132, 114, 166, 234,
158)(257, 495, 491, 406, 430, 453, 418, 384)(258, 273, 269, 483, 478, 368, 481,
367)(259, 295, 476, 363, 370, 299, 360, 348)(260, 463, 356, 509, 439, 488, 425,
455)(261, 375, 503, 347, 398, 286, 293, 387)(262, 450, 441, 339, 320, 317, 451,
471)(263, 350, 504, 343, 461, 475, 494, 392)(264, 409, 449, 283, 419, 275, 344,
396)(265, 383, 507, 292, 394, 305, 279, 271)(266, 442, 342, 313, 489, 329, 433,
321)(267, 479, 374, 331, 381, 287, 452, 470)(268, 404, 289, 444, 379, 458, 506,
508)(270, 512, 372, 432, 505, 412, 355, 498)(272, 415, 436, 388, 315, 371, 311,
322)(274, 341, 466, 464, 385, 426, 445, 324)(276, 422, 416, 474, 431, 424, 497,
325)(277, 338, 291, 335, 386, 318, 446, 361)(278, 303, 405, 427, 351, 332, 399,
310)(280, 353, 397, 358, 510, 411, 496, 473)(281, 304, 312, 391, 438, 407, 490,
469)(282, 389, 301, 414, 309, 333, 328, 340)(284, 306, 323, 400, 390, 472, 334,
382)(285, 408, 364, 501, 300, 337, 336, 327)(288, 484, 428, 346, 459, 454, 477,
457)(290, 298, 421, 378, 487, 480, 511, 413)(294, 357, 502, 314, 420, 482, 417,
448)(296, 403, 467, 423, 410, 393, 460, 493)(297, 395, 352, 349, 434, 500, 307,
435)(302, 362, 308, 486, 377, 330, 316, 492)(319, 326, 456, 440, 366, 443, 468,
380)(345, 465, 401, 429, 359, 365, 462, 437)(354, 485, 369, 402, 373, 499, 447,
376)
d: (5, 13)(6, 14)(7, 15)(8, 16)(9, 21)(10, 22)(11, 23)(12, 24)(17, 37)(18,
38)(19, 39)(20, 40)(25, 53)(26, 54)(27, 55)(28, 56)(29, 61)(30, 62)(31, 63)(32,
64)(33, 69)(34, 70)(35, 71)(36, 72)(41, 85)(42, 86)(43, 87)(44, 88)(45, 93)(46,
94)(47, 95)(48, 96)(49, 52)(50, 51)(57, 113)(58, 114)(59, 115)(60, 116)(65,
125)(66, 126)(67, 127)(68, 128)(73, 141)(74, 142)(75, 143)(76, 144)(77, 119)(78,
120)(79, 117)(80, 118)(81, 98)(82, 97)(83, 100)(84, 99)(89, 165)(90, 166)(91,
167)(92, 168)(101, 110)(102, 109)(103, 112)(104, 111)(105, 172)(106, 171)(107,
170)(108, 169)(121, 197)(122, 198)(123, 199)(124, 200)(129, 179)(130, 180)(131,
177)(132, 178)(133, 209)(134, 210)(135, 211)(136, 212)(137, 213)(138, 214)(139,
215)(140, 216)(145, 148)(146, 147)(149, 185)(150, 186)(151, 187)(152, 188)(157,
195)(158, 196)(159, 193)(160, 194)(161, 176)(162, 175)(163, 174)(164, 173)(189,
192)(190, 191)(201, 247)(202, 248)(203, 245)(204, 246)(205, 233)(206, 234)(207,
235)(208, 236)(217, 220)(218, 219)(221, 256)(222, 255)(223, 254)(224, 253)(225,
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308)(266, 442)(267, 407)(268, 510)(269, 483)(270, 382)(271, 486)(272, 464)(273,
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469)(454, 477)(457, 459)(458, 473)(468, 511)(470, 490)(476, 509)(496, 506)
e: (1, 2)(3, 4)(5, 123)(6, 124)(7, 121)(8, 122)(9, 140)(10, 139)(11, 138)(12,
137)(13, 199)(14, 200)(15, 197)(16, 198)(17, 38)(18, 37)(19, 40)(20, 39)(21,
216)(22, 215)(23, 214)(24, 213)(25, 54)(26, 53)(27, 56)(28, 55)(29, 62)(30,
61)(31, 64)(32, 63)(33, 70)(34, 69)(35, 72)(36, 71)(41, 242)(42, 241)(43,
244)(44, 243)(45, 94)(46, 93)(47, 96)(48, 95)(49, 51)(50, 52)(57, 206)(58,
205)(59, 208)(60, 207)(65, 77)(66, 78)(67, 79)(68, 80)(73, 105)(74, 106)(75,
107)(76, 108)(81, 135)(82, 136)(83, 133)(84, 134)(85, 238)(86, 237)(87, 240)(88,
239)(89, 166)(90, 165)(91, 168)(92, 167)(97, 212)(98, 211)(99, 210)(100,
209)(101, 225)(102, 226)(103, 227)(104, 228)(109, 229)(110, 230)(111, 231)(112,
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486)(449, 470)(455, 456)(464, 505)(468, 509)(476, 511)(490, 495)(493, 510)(499,
506)
C4[ 512, 458 ]
512
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0