Graph forms
for C4 [ 512, 540 ] = SS[512,73]
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On this page are computer-accessible forms for the graph C4[ 512, 540 ] =
SS[512,73].
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {1, 3}, {1, 2}, {464, 467}, {28, 31}, {1, 5}, {26, 30}, {1, 4},
{464, 469}, {25, 28}, {24, 29}, {64, 70}, {152, 158}, {80, 87}, {34, 42}, {373,
381}, {372, 380}, {151, 159}, {103, 111}, {102, 110}, {83, 91}, {82, 90}, {35,
43}, {33, 40}, {500, 509}, {498, 507}, {148, 157}, {85, 92}, {84, 93}, {81, 88},
{36, 45}, {65, 75}, {150, 156}, {145, 155}, {103, 109}, {103, 108}, {370, 377},
{146, 153}, {22, 26}, {499, 511}, {496, 508}, {375, 379}, {374, 378}, {368,
380}, {67, 79}, {66, 78}, {37, 41}, {32, 44}, {23, 27}, {64, 77}, {371, 382},
{103, 106}, {102, 107}, {65, 76}, {369, 383}, {102, 105}, {497, 510}, {149,
154}, {33, 49}, {459, 475}, {451, 467}, {99, 115}, {98, 114}, {76, 92}, {73,
89}, {70, 86}, {69, 85}, {35, 51}, {34, 50}, {36, 53}, {448, 465}, {100, 117},
{74, 91}, {66, 83}, {235, 250}, {44, 62}, {365, 383}, {363, 377}, {45, 62},
{491, 504}, {460, 479}, {458, 473}, {457, 474}, {452, 471}, {101, 118}, {32,
52}, {494, 506}, {493, 505}, {457, 477}, {367, 379}, {366, 378}, {96, 116}, {68,
80}, {43, 63}, {233, 253}, {234, 254}, {37, 48}, {459, 478}, {100, 113}, {97,
116}, {68, 81}, {75, 93}, {462, 472}, {458, 476}, {450, 468}, {102, 112}, {40,
63}, {488, 511}, {362, 381}, {361, 382}, {101, 114}, {96, 119}, {78, 89}, {77,
90}, {69, 82}, {67, 84}, {232, 255}, {236, 251}, {97, 121}, {450, 474}, {79,
86}, {487, 510}, {485, 508}, {449, 472}, {104, 113}, {98, 123}, {229, 252},
{104, 114}, {483, 505}, {461, 471}, {449, 475}, {99, 120}, {492, 503}, {486,
509}, {481, 506}, {463, 468}, {461, 470}, {104, 115}, {104, 116}, {490, 502},
{489, 501}, {451, 479}, {224, 253}, {480, 509}, {463, 466}, {452, 473}, {226,
255}, {448, 478}, {71, 88}, {484, 507}, {462, 465}, {72, 87}, {225, 254}, {227,
252}, {228, 251}, {230, 249}, {91, 123}, {476, 508}, {471, 503}, {456, 488},
{455, 487}, {454, 486}, {86, 119}, {453, 484}, {88, 122}, {468, 502}, {94, 124},
{90, 120}, {473, 506}, {477, 510}, {140, 168}, {465, 501}, {454, 482}, {221,
249}, {222, 250}, {89, 124}, {478, 507}, {474, 511}, {467, 502}, {95, 122},
{453, 483}, {479, 505}, {455, 481}, {466, 501}, {93, 117}, {142, 166}, {141,
165}, {137, 161}, {139, 162}, {92, 118}, {144, 187}, {143, 163}, {460, 480},
{94, 115}, {469, 504}, {456, 485}, {131, 174}, {128, 173}, {87, 121}, {470,
504}, {138, 164}, {132, 170}, {130, 172}, {95, 113}, {472, 503}, {30, 46}, {137,
185}, {135, 183}, {131, 179}, {130, 178}, {129, 177}, {31, 47}, {129, 176},
{141, 188}, {139, 186}, {135, 182}, {132, 182}, {149, 167}, {142, 188}, {134,
181}, {147, 160}, {138, 185}, {133, 177}, {151, 163}, {143, 187}, {145, 164},
{147, 166}, {136, 190}, {148, 162}, {140, 186}, {128, 183}, {146, 165}, {144,
167}, {133, 178}, {29, 37}, {133, 189}, {31, 39}, {30, 38}, {27, 34}, {320,
377}, {152, 161}, {134, 191}, {29, 36}, {26, 32}, {27, 33}, {136, 179}, {321,
378}, {136, 180}, {323, 383}, {134, 184}, {150, 168}, {28, 35}, {324, 379},
{418, 482}, {434, 498}, {433, 497}, {432, 496}, {431, 495}, {430, 494}, {429,
493}, {317, 380}, {408, 473}, {319, 382}, {417, 483}, {318, 381}, {416, 485},
{420, 481}, {39, 97}, {135, 192}, {436, 499}, {435, 500}, {42, 98}, {423, 495},
{422, 494}, {421, 493}, {45, 100}, {406, 479}, {404, 477}, {402, 475}, {43, 96},
{419, 488}, {405, 478}, {401, 474}, {40, 101}, {44, 99}, {403, 476}, {424, 497},
{426, 499}, {427, 496}, {131, 223}, {425, 500}, {428, 498}, {446, 480}, {129,
225}, {445, 477}, {438, 470}, {437, 469}, {393, 489}, {130, 227}, {397, 492},
{395, 490}, {390, 487}, {385, 483}, {398, 492}, {391, 485}, {54, 85}, {447,
476}, {394, 489}, {128, 228}, {399, 491}, {389, 481}, {387, 486}, {38, 64},
{396, 490}, {386, 484}, {132, 226}, {39, 64}, {55, 80}, {41, 65}, {58, 82}, {61,
84}, {447, 470}, {442, 467}, {46, 68}, {440, 466}, {392, 482}, {59, 81}, {57,
83}, {42, 65}, {446, 469}, {18, 126}, {443, 471}, {388, 488}, {19, 127}, {47,
66}, {444, 465}, {441, 468}, {18, 125}, {445, 466}, {439, 472}, {53, 69}, {410,
490}, {409, 489}, {48, 66}, {60, 78}, {49, 67}, {384, 499}, {63, 74}, {41, 95},
{51, 69}, {50, 68}, {52, 67}, {412, 491}, {411, 492}, {407, 480}, {63, 72}, {62,
73}, {56, 79}, {38, 94}, {414, 486}, {62, 71}, {413, 487}, {400, 491}, {415,
484}, {111, 238}, {316, 445}, {284, 413}, {106, 232}, {112, 243}, {20, 144},
{314, 446}, {111, 235}, {256, 388}, {105, 236}, {105, 239}, {107, 237}, {109,
234}, {281, 414}, {310, 447}, {108, 230}, {110, 229}, {383, 500}, {107, 231},
{382, 498}, {381, 497}, {380, 496}, {82, 223}, {80, 222}, {73, 217}, {76, 220},
{75, 219}, {19, 130}, {21, 132}, {71, 213}, {72, 218}, {78, 221}, {20, 128},
{379, 495}, {378, 494}, {377, 493}, {31, 139}, {21, 129}, {16, 133}, {17, 135},
{17, 134}, {30, 137}, {20, 131}, {16, 136}, {21, 141}, {20, 140}, {18, 139},
{112, 233}, {19, 138}, {21, 143}, {110, 244}, {18, 137}, {106, 241}, {77, 214},
{108, 240}, {19, 142}, {74, 215}, {70, 216}, {109, 242}, {127, 224}, {125, 221},
{126, 222}, {55, 150}, {270, 431}, {303, 398}, {309, 407}, {311, 405}, {76,
239}, {315, 408}, {269, 430}, {302, 397}, {74, 238}, {310, 402}, {309, 400},
{36, 140}, {59, 147}, {37, 141}, {61, 148}, {56, 146}, {316, 406}, {33, 138},
{314, 401}, {312, 403}, {70, 237}, {57, 149}, {34, 143}, {313, 404}, {60, 145},
{58, 151}, {35, 142}, {54, 152}, {79, 224}, {15, 191}, {84, 228}, {32, 144},
{262, 438}, {264, 440}, {12, 189}, {83, 225}, {298, 408}, {13, 190}, {313, 394},
{81, 226}, {280, 427}, {295, 404}, {274, 423}, {294, 403}, {85, 227}, {315,
397}, {314, 396}, {257, 439}, {275, 421}, {71, 240}, {316, 395}, {312, 399},
{258, 437}, {273, 422}, {293, 402}, {73, 241}, {310, 398}, {265, 433}, {282,
418}, {289, 409}, {290, 410}, {306, 394}, {259, 442}, {319, 390}, {261, 444},
{266, 435}, {277, 428}, {304, 393}, {72, 242}, {267, 432}, {271, 436}, {307,
399}, {318, 386}, {272, 429}, {285, 416}, {286, 419}, {296, 405}, {299, 406},
{300, 401}, {301, 400}, {305, 396}, {77, 243}, {317, 387}, {311, 393}, {263,
441}, {268, 434}, {276, 426}, {287, 417}, {297, 407}, {75, 244}, {308, 395},
{260, 443}, {278, 425}, {279, 424}, {283, 420}, {288, 415}, {291, 412}, {292,
411}, {87, 151}, {375, 439}, {353, 417}, {330, 394}, {107, 171}, {88, 152},
{119, 182}, {376, 441}, {324, 389}, {109, 175}, {372, 438}, {358, 420}, {335,
397}, {334, 396}, {322, 384}, {118, 180}, {86, 149}, {333, 398}, {322, 385},
{110, 173}, {106, 169}, {320, 388}, {369, 437}, {359, 419}, {356, 416}, {331,
399}, {323, 391}, {105, 172}, {332, 393}, {108, 170}, {126, 184}, {357, 418},
{113, 185}, {370, 442}, {123, 179}, {114, 186}, {90, 147}, {321, 392}, {125,
180}, {120, 177}, {14, 196}, {127, 181}, {92, 150}, {89, 146}, {256, 459}, {15,
195}, {93, 145}, {12, 193}, {374, 443}, {373, 440}, {352, 429}, {117, 184},
{285, 464}, {14, 192}, {124, 178}, {121, 183}, {286, 464}, {13, 194}, {371,
444}, {122, 181}, {116, 187}, {115, 188}, {91, 148}, {287, 463}, {126, 175},
{284, 462}, {125, 169}, {127, 171}, {281, 461}, {283, 462}, {352, 438}, {282,
461}, {28, 196}, {326, 414}, {27, 194}, {329, 400}, {325, 415}, {26, 193}, {336,
395}, {326, 413}, {29, 195}, {112, 174}, {111, 176}, {51, 210}, {349, 444},
{337, 432}, {330, 427}, {47, 205}, {346, 440}, {50, 208}, {327, 420}, {343,
436}, {331, 424}, {42, 206}, {48, 212}, {40, 205}, {350, 443}, {342, 435}, {340,
433}, {335, 426}, {332, 425}, {329, 428}, {325, 416}, {41, 207}, {351, 441},
{348, 442}, {327, 417}, {52, 211}, {341, 434}, {333, 421}, {334, 422}, {46,
199}, {349, 436}, {47, 197}, {328, 418}, {328, 419}, {347, 432}, {345, 437},
{368, 412}, {364, 384}, {351, 435}, {350, 434}, {347, 439}, {348, 433}, {288,
463}, {342, 422}, {374, 390}, {373, 389}, {372, 388}, {370, 386}, {361, 409},
{356, 404}, {344, 424}, {309, 452}, {365, 412}, {363, 410}, {354, 403}, {371,
385}, {340, 423}, {362, 409}, {357, 406}, {353, 402}, {38, 210}, {375, 387},
{367, 411}, {337, 421}, {39, 211}, {51, 198}, {366, 411}, {346, 431}, {344,
429}, {311, 450}, {355, 405}, {364, 410}, {336, 423}, {360, 415}, {358, 401},
{345, 430}, {44, 212}, {376, 384}, {339, 427}, {313, 449}, {369, 392}, {49,
203}, {43, 208}, {315, 448}, {312, 451}, {53, 206}, {50, 201}, {45, 209}, {339,
431}, {338, 430}, {52, 200}, {48, 204}, {355, 414}, {49, 207}, {343, 425}, {338,
428}, {46, 209}, {376, 391}, {360, 407}, {359, 408}, {354, 413}, {341, 426},
{53, 202}, {95, 344}, {94, 342}, {8, 312}, {250, 458}, {251, 459}, {252, 460},
{8, 313}, {253, 460}, {9, 315}, {97, 339}, {9, 314}, {249, 458}, {11, 319},
{101, 337}, {8, 317}, {8, 318}, {100, 338}, {10, 316}, {255, 457}, {96, 343},
{99, 340}, {98, 341}, {254, 457}, {10, 310}, {11, 311}, {11, 309}, {9, 321},
{11, 323}, {25, 336}, {57, 368}, {10, 320}, {9, 322}, {10, 324}, {22, 326}, {25,
328}, {23, 325}, {17, 325}, {24, 333}, {59, 366}, {24, 334}, {61, 363}, {60,
362}, {25, 335}, {16, 327}, {58, 365}, {56, 367}, {17, 326}, {6, 350}, {16,
328}, {6, 351}, {22, 332}, {6, 349}, {55, 364}, {7, 348}, {7, 347}, {7, 346},
{23, 330}, {22, 331}, {23, 329}, {6, 345}, {54, 361}, {24, 327}, {54, 342}, {56,
344}, {55, 338}, {7, 352}, {59, 343}, {57, 340}, {60, 337}, {61, 339}, {58,
341}, {254, 392}, {249, 385}, {250, 386}, {252, 389}, {253, 390}, {251, 391},
{255, 387}, {164, 293}, {168, 297}, {165, 294}, {162, 295}, {180, 305}, {181,
304}, {182, 307}, {179, 308}, {163, 298}, {184, 306}, {167, 299}, {161, 300},
{166, 296}, {174, 288}, {160, 303}, {214, 324}, {215, 322}, {185, 289}, {186,
290}, {187, 291}, {188, 292}, {217, 321}, {183, 301}, {216, 323}, {220, 320},
{178, 303}, {177, 302}, {200, 360}, {235, 330}, {197, 358}, {199, 356}, {232,
331}, {233, 332}, {234, 335}, {236, 329}, {198, 353}, {156, 308}, {191, 279},
{203, 355}, {229, 333}, {230, 334}, {190, 276}, {191, 277}, {155, 304}, {201,
354}, {204, 359}, {157, 305}, {176, 284}, {159, 307}, {158, 306}, {189, 273},
{190, 275}, {189, 274}, {202, 357}, {117, 453}, {12, 445}, {121, 456}, {119,
454}, {12, 446}, {13, 447}, {118, 453}, {123, 456}, {169, 285}, {175, 283},
{171, 287}, {170, 286}, {172, 281}, {153, 302}, {173, 282}, {154, 301}, {231,
336}, {124, 455}, {122, 455}, {120, 454}, {173, 365}, {216, 281}, {171, 361},
{217, 283}, {172, 367}, {220, 287}, {169, 364}, {175, 362}, {174, 363}, {213,
272}, {160, 359}, {167, 352}, {218, 285}, {239, 296}, {193, 265}, {237, 293},
{238, 294}, {194, 267}, {207, 262}, {213, 284}, {215, 286}, {196, 270}, {206,
260}, {15, 452}, {193, 266}, {196, 271}, {14, 450}, {15, 451}, {205, 257}, {214,
282}, {13, 448}, {221, 272}, {194, 268}, {195, 269}, {14, 449}, {223, 271},
{245, 293}, {246, 294}, {247, 295}, {160, 369}, {199, 278}, {248, 297}, {198,
276}, {222, 268}, {195, 272}, {203, 280}, {209, 258}, {217, 266}, {248, 299},
{218, 270}, {208, 261}, {210, 263}, {192, 278}, {219, 269}, {241, 295}, {197,
274}, {212, 259}, {216, 271}, {220, 267}, {192, 280}, {170, 368}, {240, 298},
{243, 297}, {202, 273}, {211, 264}, {215, 268}, {247, 300}, {201, 277}, {246,
298}, {245, 296}, {176, 366}, {242, 300}, {200, 279}, {204, 275}, {214, 265},
{223, 256}, {244, 299}, {206, 303}, {207, 301}, {208, 306}, {209, 307}, {243,
273}, {205, 302}, {211, 304}, {229, 262}, {241, 274}, {244, 279}, {197, 289},
{219, 319}, {230, 258}, {242, 278}, {199, 290}, {212, 305}, {240, 277}, {210,
308}, {159, 376}, {198, 289}, {218, 317}, {231, 256}, {158, 374}, {226, 266},
{236, 260}, {155, 370}, {157, 372}, {202, 291}, {224, 265}, {200, 290}, {235,
257}, {213, 318}, {232, 259}, {153, 373}, {154, 375}, {201, 292}, {227, 269},
{233, 263}, {156, 371}, {203, 292}, {204, 291}, {225, 270}, {228, 267}, {231,
264}, {234, 261}, {245, 261}, {246, 262}, {247, 263}, {5, 503}, {246, 260},
{245, 257}, {3, 502}, {237, 280}, {2, 501}, {168, 351}, {159, 360}, {2, 506},
{166, 350}, {157, 357}, {154, 354}, {153, 353}, {5, 509}, {3, 507}, {156, 358},
{163, 345}, {248, 258}, {2, 505}, {5, 510}, {4, 511}, {219, 288}, {239, 276},
{248, 259}, {4, 504}, {161, 349}, {158, 355}, {238, 275}, {162, 348}, {165,
347}, {164, 346}, {3, 508}, {155, 356}, {247, 264}, {4, 512}, {475, 512}, {482,
512}, {495, 512} }>;
(II) A more general form is to represent the graph as the orbit of {1, 3}
under the group generated by the following permutations:
a: (1, 22, 104, 190)(2, 332, 116, 275)(3, 326, 115, 136)(4, 331, 113, 276)(5,
26, 114, 13)(6, 173, 7, 175)(8, 88, 69, 388)(9, 407, 67, 205)(10, 404, 68,
206)(11, 86, 66, 385)(12, 290, 27, 492)(14, 132, 29, 287)(15, 127, 28, 286)(16,
502, 17, 188)(18, 434, 461, 433)(19, 25, 464, 191)(20, 432, 462, 435)(21, 24,
463, 192)(23, 411, 189, 410)(30, 98, 447, 510)(31, 215, 452, 224)(32, 101, 448,
509)(33, 397, 446, 200)(34, 398, 445, 199)(35, 419, 451, 181)(36, 220, 449,
226)(37, 417, 450, 182)(38, 123, 476, 487)(39, 74, 473, 253)(40, 315, 480,
52)(41, 353, 474, 307)(42, 310, 477, 46)(43, 359, 479, 304)(44, 118, 478,
486)(45, 76, 475, 255)(47, 322, 309, 79)(48, 483, 311, 119)(49, 302, 314,
360)(50, 303, 316, 356)(51, 488, 312, 122)(53, 320, 313, 81)(54, 223, 380,
213)(55, 236, 379, 241)(56, 197, 384, 400)(57, 221, 382, 216)(58, 438, 381,
161)(59, 202, 377, 394)(60, 444, 383, 167)(61, 235, 378, 243)(62, 92, 459,
387)(63, 408, 460, 211)(64, 91, 458, 390)(65, 402, 457, 209)(70, 83, 249,
319)(71, 85, 256, 317)(72, 298, 252, 264)(73, 150, 251, 375)(75, 293, 254,
258)(77, 148, 250, 374)(78, 371, 323, 149)(80, 260, 324, 295)(82, 372, 318,
152)(84, 257, 321, 297)(87, 246, 389, 247)(89, 156, 391, 154)(90, 157, 386,
158)(93, 245, 392, 248)(94, 179, 508, 413)(95, 198, 511, 399)(96, 204, 505,
393)(97, 238, 506, 233)(99, 180, 507, 414)(100, 239, 512, 232)(102, 431, 103,
430)(105, 495, 106, 338)(107, 270, 108, 269)(109, 345, 110, 346)(111, 494, 112,
339)(117, 296, 482, 259)(120, 305, 484, 355)(121, 294, 481, 263)(124, 308, 485,
354)(125, 498, 281, 340)(126, 350, 282, 348)(128, 347, 283, 351)(129, 334, 288,
280)(130, 336, 285, 277)(131, 496, 284, 342)(133, 490, 325, 292)(134, 142, 328,
467)(135, 141, 327, 468)(137, 341, 470, 497)(138, 335, 469, 279)(139, 268, 471,
265)(140, 267, 472, 266)(143, 333, 466, 278)(144, 337, 465, 500)(145, 261, 369,
299)(146, 358, 376, 301)(147, 357, 370, 306)(151, 262, 373, 300)(153, 401, 159,
207)(155, 208, 160, 406)(162, 222, 443, 214)(163, 229, 440, 242)(164, 234, 437,
244)(165, 420, 441, 183)(166, 418, 442, 184)(168, 228, 439, 217)(169, 428, 172,
423)(170, 195, 171, 196)(174, 427, 176, 422)(177, 396, 415, 203)(178, 395, 416,
201)(185, 426, 504, 424)(186, 194, 503, 193)(187, 421, 501, 425)(210, 456, 403,
455)(212, 453, 405, 454)(218, 240, 227, 231)(219, 237, 225, 230)(271, 368, 272,
361)(273, 363, 330, 366)(274, 364, 329, 367)(289, 499, 491, 344)(291, 493, 489,
343)(349, 365, 352, 362)(409, 436, 412, 429) (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)(6, 7)(8, 11)(9, 10)(14, 15)(18, 20)(19, 21)(24, 25)(28, 29)(30,
32)(31, 36)(33, 34)(35, 37)(38, 44)(39, 45)(40, 42)(41, 43)(46, 52)(47, 53)(48,
51)(49, 50)(54, 57)(55, 61)(56, 59)(58, 60)(62, 64)(63, 65)(66, 69)(67, 68)(70,
71)(72, 75)(73, 77)(74, 76)(78, 82)(79, 81)(80, 84)(83, 85)(86, 88)(87, 93)(89,
90)(91, 92)(94, 99)(95, 96)(97, 100)(98, 101)(102, 103)(105, 111)(106, 112)(107,
108)(109, 110)(113, 116)(117, 121)(118, 123)(119, 122)(120, 124)(125, 131)(126,
128)(127, 132)(129, 130)(134, 135)(137, 144)(138, 143)(139, 140)(141, 142)(145,
151)(146, 147)(148, 150)(149, 152)(153, 160)(154, 158)(155, 159)(156, 157)(161,
167)(162, 168)(163, 164)(165, 166)(169, 174)(170, 171)(172, 176)(173, 175)(177,
178)(179, 180)(181, 182)(183, 184)(185, 187)(191, 192)(195, 196)(197, 202)(198,
204)(199, 200)(201, 203)(205, 206)(207, 208)(209, 211)(210, 212)(213, 216)(214,
217)(215, 220)(218, 219)(221, 223)(222, 228)(224, 226)(225, 227)(229, 234)(230,
231)(232, 233)(235, 236)(237, 240)(238, 239)(241, 243)(242, 244)(245, 246)(247,
248)(249, 256)(250, 251)(252, 254)(253, 255)(257, 260)(258, 264)(259, 263)(261,
262)(265, 266)(267, 268)(269, 270)(271, 272)(273, 274)(275, 276)(277, 280)(278,
279)(281, 284)(282, 283)(285, 288)(286, 287)(289, 291)(293, 298)(294, 296)(295,
297)(299, 300)(301, 306)(302, 303)(304, 307)(305, 308)(309, 313)(310, 315)(311,
312)(314, 316)(317, 319)(318, 323)(320, 322)(321, 324)(327, 328)(329, 330)(331,
332)(333, 335)(334, 336)(337, 341)(338, 339)(340, 342)(343, 344)(345, 346)(347,
350)(348, 351)(349, 352)(353, 359)(354, 355)(356, 360)(357, 358)(361, 368)(362,
365)(363, 364)(366, 367)(369, 373)(370, 376)(371, 372)(374, 375)(377, 384)(378,
379)(380, 382)(381, 383)(385, 388)(386, 391)(387, 390)(389, 392)(393, 399)(394,
400)(395, 396)(397, 398)(401, 406)(402, 408)(403, 405)(404, 407)(409, 412)(413,
414)(415, 416)(417, 419)(418, 420)(421, 426)(422, 423)(424, 425)(427, 428)(429,
436)(430, 431)(432, 434)(433, 435)(437, 440)(438, 444)(439, 443)(441, 442)(445,
446)(447, 448)(449, 452)(450, 451)(453, 456)(454, 455)(457, 460)(458, 459)(461,
462)(463, 464)(465, 470)(466, 469)(467, 468)(471, 472)(473, 475)(474, 479)(476,
478)(477, 480)(481, 482)(483, 488)(484, 485)(486, 487)(489, 491)(493, 499)(494,
495)(496, 498)(497, 500)(501, 504)(505, 511)(506, 512)(507, 508)(509, 510)
c: (1, 6, 104, 7)(2, 345, 116, 346)(3, 351, 115, 347)(4, 349, 113, 352)(5, 350,
114, 348)(8, 11, 69, 66)(9, 68, 67, 10)(12, 366, 27, 363)(13, 364, 26, 367)(14,
361, 29, 368)(15, 365, 28, 362)(16, 103, 17, 102)(18, 424, 461, 426)(19, 421,
464, 425)(20, 423, 462, 428)(21, 427, 463, 422)(22, 172, 190, 169)(23, 174, 189,
176)(24, 170, 192, 171)(25, 175, 191, 173)(30, 56, 447, 384)(31, 381, 452,
58)(32, 379, 448, 55)(33, 377, 446, 59)(34, 61, 445, 378)(35, 60, 451, 383)(36,
57, 449, 382)(37, 380, 450, 54)(38, 146, 476, 376)(39, 373, 473, 151)(40, 370,
480, 147)(41, 372, 474, 152)(42, 148, 477, 374)(43, 145, 479, 369)(44, 375, 478,
150)(45, 149, 475, 371)(46, 79, 310, 322)(47, 318, 309, 82)(48, 317, 311,
85)(49, 320, 314, 81)(50, 84, 316, 321)(51, 78, 312, 323)(52, 324, 315, 80)(53,
83, 313, 319)(62, 154, 459, 156)(63, 155, 460, 160)(64, 153, 458, 159)(65, 157,
457, 158)(70, 353, 249, 307)(71, 301, 256, 358)(72, 304, 252, 359)(73, 354, 251,
308)(74, 356, 253, 303)(75, 357, 254, 306)(76, 305, 255, 355)(77, 302, 250,
360)(86, 402, 385, 209)(87, 211, 389, 408)(88, 207, 388, 401)(89, 403, 391,
210)(90, 205, 386, 407)(91, 404, 390, 206)(92, 212, 387, 405)(93, 406, 392,
208)(94, 165, 508, 441)(95, 438, 511, 161)(96, 164, 505, 437)(97, 440, 506,
163)(98, 162, 510, 443)(99, 439, 507, 168)(100, 167, 512, 444)(101, 442, 509,
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133)(117, 299, 482, 261)(118, 259, 486, 296)(119, 293, 483, 258)(120, 257, 484,
297)(121, 264, 481, 298)(122, 262, 488, 300)(123, 295, 487, 260)(124, 294, 485,
263)(125, 331, 281, 276)(126, 279, 282, 335)(127, 333, 286, 278)(128, 336, 283,
277)(129, 330, 288, 273)(130, 275, 285, 332)(131, 274, 284, 329)(132, 280, 287,
334)(137, 344, 470, 499)(138, 493, 469, 343)(139, 497, 471, 341)(140, 340, 472,
498)(141, 496, 468, 342)(142, 337, 467, 500)(143, 339, 466, 494)(144, 495, 465,
338)(177, 235, 415, 243)(178, 238, 416, 233)(179, 241, 413, 236)(180, 232, 414,
239)(181, 229, 419, 242)(182, 237, 417, 230)(183, 231, 420, 240)(184, 244, 418,
234)(185, 429, 504, 436)(186, 433, 503, 434)(187, 431, 501, 430)(188, 432, 502,
435)(193, 411, 194, 410)(195, 412, 196, 409)(197, 213, 400, 223)(198, 221, 399,
216)(199, 224, 398, 215)(200, 214, 397, 222)(201, 228, 395, 217)(202, 225, 394,
219)(203, 220, 396, 226)(204, 218, 393, 227)(245, 453, 248, 454)(246, 456, 247,
455)(265, 492, 268, 290)(266, 292, 267, 490)(269, 291, 270, 489)(271, 289, 272,
491)
d: (1, 18, 102, 21)(2, 139, 105, 132)(3, 137, 110, 129)(4, 126, 112, 141)(5,
125, 107, 143)(6, 424, 16, 427)(7, 426, 17, 422)(8, 156, 67, 160)(9, 155, 69,
154)(10, 63, 11, 62)(12, 337, 271, 277)(13, 278, 269, 340)(14, 338, 265,
275)(15, 274, 267, 343)(19, 412, 462, 410)(20, 411, 464, 409)(22, 24, 431,
434)(23, 435, 429, 25)(26, 333, 270, 498)(27, 500, 272, 336)(28, 329, 266,
493)(29, 495, 268, 332)(30, 229, 225, 507)(31, 236, 226, 505)(32, 398, 218,
382)(33, 383, 213, 395)(34, 509, 221, 231)(35, 400, 217, 377)(36, 379, 215,
393)(37, 512, 222, 233)(38, 262, 254, 484)(39, 260, 255, 483)(40, 323, 71,
316)(41, 482, 250, 263)(42, 486, 249, 264)(43, 309, 73, 320)(44, 310, 72,
319)(45, 324, 74, 311)(46, 252, 83, 478)(47, 251, 81, 479)(48, 475, 80, 253)(49,
369, 318, 308)(50, 480, 78, 256)(51, 301, 321, 370)(52, 303, 317, 371)(53, 375,
322, 304)(54, 167, 397, 416)(55, 224, 204, 449)(56, 419, 394, 168)(57, 448, 199,
227)(58, 413, 396, 164)(59, 451, 197, 228)(60, 223, 201, 446)(61, 166, 399,
420)(64, 246, 457, 453)(65, 454, 458, 247)(66, 459, 68, 460)(70, 298, 477,
118)(75, 120, 476, 300)(76, 119, 473, 295)(77, 294, 474, 117)(79, 359, 313,
150)(82, 354, 314, 145)(84, 147, 312, 358)(85, 149, 315, 356)(86, 408, 404,
92)(87, 390, 212, 402)(88, 406, 205, 391)(89, 388, 208, 407)(90, 403, 401,
93)(91, 405, 209, 389)(94, 438, 234, 415)(95, 418, 235, 441)(96, 452, 241,
220)(97, 443, 232, 417)(98, 414, 230, 440)(99, 447, 242, 219)(100, 214, 238,
450)(101, 216, 240, 445)(103, 463, 104, 461)(106, 287, 116, 471)(108, 466, 114,
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376)(123, 355, 258, 373)(124, 372, 261, 360)(127, 291, 472, 364)(128, 366, 467,
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499)(135, 494, 348, 276)(136, 280, 345, 497)(138, 365, 284, 490)(140, 367, 286,
489)(142, 491, 283, 363)(144, 492, 285, 361)(146, 488, 306, 297)(148, 296, 307,
481)(151, 487, 305, 293)(152, 299, 302, 485)(153, 456, 158, 248)(157, 245, 159,
455)(161, 244, 177, 508)(162, 239, 182, 506)(163, 510, 180, 237)(165, 511, 184,
243)(169, 171, 187, 503)(170, 501, 186, 172)(173, 176, 502, 185)(174, 188, 504,
175)(178, 380, 444, 200)(179, 203, 437, 381)(181, 202, 439, 384)(183, 378, 442,
198)(189, 432, 436, 191)(190, 192, 430, 433)(193, 421, 196, 428)(194, 425, 195,
423)(206, 387, 385, 211)(207, 392, 386, 210)(325, 342, 352, 335)(326, 334, 346,
341)(327, 339, 350, 331)(328, 330, 351, 344)
e: (1, 30)(2, 46)(3, 137)(4, 38)(5, 26)(6, 396)(7, 203)(8, 181)(9, 168)(10,
96)(11, 241)(12, 500)(13, 114)(14, 264)(15, 71)(16, 58)(17, 381)(18, 507)(19,
380)(20, 397)(21, 229)(22, 510)(23, 60)(24, 163)(25, 223)(27, 337)(28, 256)(29,
298)(31, 459)(32, 503)(33, 432)(34, 421)(35, 388)(36, 408)(37, 246)(39, 475)(40,
267)(41, 294)(42, 275)(43, 320)(44, 471)(45, 473)(47, 251)(48, 260)(49, 347)(50,
493)(51, 488)(52, 472)(53, 359)(54, 464)(55, 385)(56, 154)(57, 172)(59, 406)(61,
245)(62, 452)(63, 220)(64, 512)(65, 238)(66, 236)(67, 439)(68, 505)(69, 419)(70,
495)(72, 287)(73, 309)(74, 76)(75, 111)(77, 482)(78, 329)(79, 375)(80, 483)(81,
479)(82, 328)(83, 105)(84, 257)(85, 286)(86, 379)(87, 417)(88, 451)(89, 400)(90,
418)(91, 239)(92, 215)(93, 235)(94, 504)(95, 403)(97, 402)(98, 190)(99,
461)(100, 458)(101, 194)(102, 225)(103, 219)(104, 447)(106, 319)(107, 270)(108,
269)(109, 288)(110, 129)(112, 254)(113, 476)(115, 470)(116, 310)(117, 250)(118,
268)(119, 324)(120, 282)(121, 353)(122, 312)(123, 276)(124, 491)(125, 498)(126,
484)(127, 317)(128, 302)(130, 368)(131, 335)(132, 252)(133, 365)(134, 318)(135,
373)(136, 341)(138, 496)(139, 478)(140, 315)(141, 262)(142, 372)(143, 333)(144,
492)(145, 330)(146, 301)(147, 357)(148, 296)(149, 367)(150, 322)(151, 327)(152,
467)(153, 183)(155, 394)(156, 384)(157, 166)(158, 442)(159, 420)(160, 202)(161,
502)(162, 405)(164, 427)(165, 207)(167, 411)(169, 382)(170, 227)(171, 218)(173,
177)(174, 234)(175, 415)(176, 244)(178, 412)(179, 426)(180, 434)(182, 389)(184,
386)(185, 508)(186, 448)(187, 398)(188, 438)(189, 383)(191, 213)(192, 440)(193,
509)(195, 240)(196, 231)(197, 391)(198, 456)(199, 501)(200, 462)(201, 429)(204,
206)(205, 228)(208, 377)(209, 506)(210, 511)(211, 449)(212, 443)(214, 454)(216,
423)(217, 407)(221, 428)(222, 453)(224, 387)(226, 460)(230, 430)(232, 390)(233,
457)(237, 431)(242, 463)(243, 392)(247, 450)(248, 378)(249, 338)(253, 255)(258,
494)(259, 374)(261, 363)(263, 474)(265, 486)(266, 480)(271, 336)(272, 277)(273,
369)(274, 323)(278, 466)(279, 284)(280, 346)(281, 340)(283, 360)(285, 361)(289,
485)(290, 465)(291, 303)(292, 352)(293, 339)(295, 311)(297, 321)(299, 366)(300,
468)(304, 313)(305, 350)(306, 370)(307, 481)(308, 499)(314, 351)(316, 343)(325,
362)(326, 497)(331, 487)(332, 477)(334, 345)(342, 469)(344, 354)(348, 355)(349,
490)(356, 489)(358, 376)(364, 371)(393, 404)(395, 436)(399, 455)(401, 441)(409,
416)(410, 444)(413, 424)(414, 433)(422, 437)(425, 445)(435, 446)
f: (2, 3)(4, 5)(6, 7)(8, 9)(10, 11)(12, 14)(13, 15)(16, 17)(19, 20)(22, 25)(23,
24)(26, 28)(27, 29)(30, 31)(32, 35)(33, 36)(34, 37)(38, 39)(40, 45)(41, 42)(43,
44)(46, 47)(48, 50)(49, 53)(51, 52)(54, 61)(55, 60)(56, 58)(57, 59)(62, 63)(66,
68)(67, 69)(70, 77)(71, 74)(72, 73)(75, 76)(78, 80)(79, 82)(81, 83)(84, 85)(86,
90)(87, 89)(88, 91)(92, 93)(94, 97)(95, 98)(96, 99)(100, 101)(105, 110)(106,
109)(107, 112)(108, 111)(113, 114)(115, 116)(117, 118)(119, 120)(121, 124)(122,
123)(125, 126)(127, 131)(128, 130)(129, 132)(133, 135)(134, 136)(137, 139)(138,
140)(141, 143)(142, 144)(145, 150)(146, 151)(147, 149)(148, 152)(153, 159)(154,
160)(155, 156)(157, 158)(161, 162)(163, 165)(164, 168)(166, 167)(169, 175)(170,
176)(171, 174)(172, 173)(177, 182)(178, 183)(179, 181)(180, 184)(185, 186)(187,
188)(189, 192)(190, 191)(193, 196)(194, 195)(197, 199)(198, 200)(201, 204)(202,
203)(205, 209)(206, 207)(208, 212)(210, 211)(213, 215)(214, 216)(217, 218)(219,
220)(221, 222)(223, 224)(225, 226)(227, 228)(229, 236)(230, 235)(231, 233)(232,
234)(237, 243)(238, 240)(239, 244)(241, 242)(245, 248)(249, 250)(251, 252)(253,
256)(254, 255)(257, 258)(259, 261)(260, 262)(263, 264)(265, 271)(266, 270)(267,
269)(268, 272)(273, 280)(274, 278)(275, 277)(276, 279)(281, 282)(283, 285)(284,
286)(287, 288)(289, 290)(291, 292)(293, 297)(294, 298)(295, 300)(296, 299)(301,
303)(302, 307)(304, 308)(305, 306)(309, 310)(311, 316)(312, 315)(313, 314)(317,
321)(318, 322)(319, 320)(323, 324)(325, 327)(326, 328)(329, 333)(330, 334)(331,
335)(332, 336)(337, 338)(339, 342)(340, 343)(341, 344)(345, 347)(346, 351)(348,
349)(350, 352)(353, 360)(354, 359)(355, 357)(356, 358)(361, 363)(362, 364)(365,
367)(366, 368)(369, 375)(370, 371)(372, 374)(373, 376)(377, 382)(378, 380)(379,
383)(381, 384)(385, 386)(387, 392)(388, 390)(389, 391)(393, 395)(394, 396)(397,
399)(398, 400)(401, 404)(402, 407)(403, 408)(405, 406)(409, 410)(411, 412)(413,
419)(414, 418)(415, 417)(416, 420)(421, 428)(422, 427)(423, 425)(424, 426)(429,
434)(430, 432)(431, 435)(433, 436)(437, 439)(438, 443)(440, 441)(442, 444)(445,
450)(446, 449)(447, 452)(448, 451)(455, 456)(459, 460)(462, 464)(465, 467)(466,
468)(469, 472)(470, 471)(473, 476)(474, 477)(475, 480)(478, 479)(481, 485)(482,
486)(483, 484)(487, 488)(489, 490)(491, 492)(493, 498)(494, 496)(495, 500)(497,
499)(501, 502)(503, 504)(505, 507)(506, 508)(509, 512)(510, 511)
g: (1, 8, 7, 10)(2, 313, 348, 324)(3, 317, 352, 310)(4, 312, 347, 320)(5, 318,
346, 316)(6, 68, 104, 69)(9, 17, 66, 102)(11, 103, 67, 16)(12, 487, 362,
264)(13, 485, 368, 262)(14, 259, 367, 483)(15, 257, 363, 482)(18, 64, 422,
158)(19, 156, 425, 62)(20, 160, 428, 63)(21, 65, 426, 159)(22, 89, 171, 401)(23,
91, 173, 408)(24, 405, 169, 86)(25, 407, 176, 93)(26, 124, 361, 300)(27, 123,
365, 298)(28, 297, 366, 117)(29, 296, 364, 119)(30, 94, 54, 161)(31, 243, 378,
184)(32, 178, 382, 242)(33, 179, 383, 240)(34, 98, 58, 163)(35, 168, 59,
100)(36, 166, 55, 96)(37, 239, 384, 182)(38, 342, 152, 137)(39, 273, 374,
126)(40, 131, 369, 277)(41, 276, 376, 132)(42, 341, 151, 143)(43, 140, 147,
338)(44, 130, 371, 278)(45, 142, 150, 343)(46, 115, 85, 349)(47, 112, 321,
134)(48, 105, 322, 135)(49, 136, 323, 108)(50, 114, 82, 345)(51, 351, 81,
113)(52, 133, 319, 109)(53, 350, 80, 116)(56, 417, 450, 232)(57, 229, 448,
416)(60, 231, 446, 413)(61, 418, 452, 235)(70, 334, 355, 125)(71, 138, 308,
500)(72, 144, 303, 498)(73, 127, 358, 332)(74, 128, 359, 329)(75, 335, 360,
129)(76, 499, 307, 141)(77, 494, 306, 139)(78, 107, 314, 326)(79, 327, 311,
106)(83, 110, 315, 325)(84, 328, 309, 111)(87, 187, 206, 434)(88, 185, 210,
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213)(165, 220, 511, 399)(167, 398, 507, 218)(170, 207, 190, 391)(172, 385, 192,
212)(174, 392, 191, 205)(175, 211, 189, 390)(177, 219, 234, 200)(180, 216, 230,
203)(181, 197, 233, 217)(183, 204, 236, 215)(193, 455, 409, 247)(194, 456, 412,
246)(195, 245, 410, 454)(196, 248, 411, 453)(221, 237, 396, 414)(224, 420, 393,
241)(225, 244, 397, 415)(228, 419, 400, 238)(249, 280, 305, 281)(250, 339, 357,
471)(251, 286, 301, 275)(252, 465, 356, 340)(253, 283, 304, 274)(254, 279, 302,
288)(255, 344, 353, 468)(256, 469, 354, 337)(265, 481, 489, 295)(267, 488, 491,
294)(270, 299, 492, 484)(272, 293, 490, 486)(370, 495, 479, 472)(372, 470, 476,
496)(373, 466, 477, 497)(375, 493, 475, 467)(377, 512, 451, 439)(379, 505, 449,
442)(380, 438, 447, 508)(381, 440, 445, 510)(386, 431, 406, 503)(387, 429, 402,
502)(388, 504, 403, 432)(389, 501, 404, 433)
C4[ 512, 540 ]
512
-1 2 3 4 5
-2 506 1 501 505
-3 1 507 508 502
-4 1 511 512 504
-5 1 509 510 503
-6 345 349 350 351
-7 352 346 347 348
-8 312 313 317 318
-9 321 322 314 315
-10 320 310 324 316
-11 319 309 311 323
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-13 190 194 447 448
-14 192 196 449 450
-15 451 452 191 195
-16 133 136 327 328
-17 134 135 325 326
-18 125 126 137 139
-19 127 138 130 142
-20 144 128 140 131
-21 132 143 129 141
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-23 330 27 325 329
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-25 335 28 336 328
-26 22 193 30 32
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-28 35 25 31 196
-29 24 36 37 195
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-31 47 28 39 139
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-33 27 49 138 40
-34 143 27 50 42
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-36 45 29 140 53
-37 48 29 41 141
-38 210 94 30 64
-39 211 31 64 97
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-45 209 100 36 62
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-50 34 68 201 208
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-53 36 69 202 206
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-65 41 42 75 76
-66 78 47 48 83
-67 79 49 84 52
-68 46 80 81 50
-69 82 51 85 53
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-319 11 390 382 219
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-321 378 392 217 9
-322 385 215 9 384
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-331 22 232 399 424
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-339 431 61 97 427
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-348 442 433 7 162
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-362 409 60 381 175
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-368 57 170 412 380
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-372 157 388 380 438
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-379 495 375 367 324
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-381 497 318 362 373
-382 319 498 371 361
-383 365 323 500 369
-384 364 376 322 499
-385 322 249 371 483
-386 484 370 250 318
-387 375 255 486 317
-388 320 256 488 372
-389 324 481 252 373
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