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