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