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