Graph forms
for C4 [ 512, 585 ] = SS[512,120]
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On this page are computer-accessible forms for the graph C4[ 512, 585 ] =
SS[512,120].
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {20, 21}, {1, 3}, {1, 2}, {464, 467}, {36, 39}, {1, 5}, {19, 23},
{9, 13}, {8, 12}, {1, 4}, {498, 503}, {496, 501}, {19, 22}, {224, 231}, {19,
26}, {497, 504}, {374, 383}, {32, 43}, {35, 40}, {34, 41}, {33, 42}, {6, 10},
{20, 24}, {7, 11}, {20, 25}, {98, 111}, {16, 30}, {19, 28}, {500, 507}, {499,
508}, {20, 27}, {225, 238}, {226, 237}, {227, 236}, {228, 235}, {229, 234},
{230, 233}, {15, 31}, {450, 466}, {32, 48}, {224, 240}, {96, 113}, {489, 504},
{452, 469}, {101, 116}, {100, 117}, {97, 112}, {230, 247}, {15, 29}, {452, 470},
{449, 467}, {33, 50}, {488, 507}, {484, 503}, {462, 477}, {461, 478}, {460,
479}, {100, 119}, {34, 49}, {225, 245}, {451, 471}, {448, 468}, {226, 246}, {99,
118}, {102, 115}, {35, 52}, {494, 505}, {493, 506}, {36, 51}, {227, 244}, {228,
243}, {229, 242}, {230, 241}, {101, 125}, {457, 465}, {102, 126}, {450, 475},
{495, 502}, {492, 501}, {461, 468}, {459, 466}, {227, 249}, {462, 468}, {448,
474}, {96, 123}, {487, 508}, {483, 504}, {482, 505}, {481, 506}, {480, 507},
{458, 465}, {451, 472}, {99, 120}, {98, 121}, {97, 122}, {224, 251}, {463, 467},
{229, 248}, {491, 502}, {490, 503}, {449, 476}, {228, 250}, {460, 466}, {225,
254}, {486, 505}, {485, 506}, {226, 253}, {91, 123}, {92, 124}, {455, 486},
{200, 234}, {201, 235}, {23, 52}, {479, 508}, {476, 511}, {95, 124}, {223, 252},
{89, 125}, {474, 510}, {473, 509}, {94, 122}, {93, 121}, {90, 126}, {215, 242},
{202, 236}, {201, 238}, {472, 511}, {202, 237}, {25, 49}, {470, 510}, {469,
509}, {26, 50}, {216, 241}, {458, 483}, {453, 492}, {342, 383}, {218, 240}, {24,
51}, {478, 501}, {477, 502}, {459, 480}, {84, 127}, {27, 48}, {221, 246}, {222,
245}, {95, 114}, {467, 510}, {463, 482}, {457, 484}, {456, 485}, {454, 491},
{199, 233}, {465, 511}, {87, 120}, {466, 509}, {456, 487}, {455, 488}, {454,
489}, {453, 490}, {88, 119}, {199, 232}, {200, 231}, {219, 244}, {220, 243},
{16, 32}, {31, 47}, {18, 34}, {17, 33}, {203, 251}, {204, 252}, {223, 239}, {18,
35}, {464, 481}, {331, 378}, {326, 375}, {28, 47}, {328, 379}, {31, 44}, {30,
45}, {29, 46}, {203, 248}, {205, 254}, {206, 253}, {17, 36}, {333, 376}, {332,
377}, {217, 239}, {205, 250}, {330, 381}, {329, 382}, {206, 249}, {223, 232},
{323, 378}, {334, 375}, {21, 46}, {327, 380}, {320, 379}, {30, 37}, {29, 38},
{22, 45}, {196, 255}, {204, 247}, {324, 377}, {325, 376}, {321, 382}, {322,
381}, {45, 108}, {317, 380}, {316, 381}, {47, 110}, {39, 101}, {316, 382}, {315,
376}, {319, 380}, {318, 378}, {37, 96}, {46, 107}, {317, 379}, {183, 240}, {318,
377}, {184, 255}, {43, 98}, {186, 243}, {188, 245}, {41, 99}, {405, 479}, {420,
495}, {422, 493}, {421, 494}, {189, 241}, {315, 375}, {190, 242}, {44, 97},
{400, 477}, {185, 244}, {187, 246}, {40, 102}, {42, 100}, {431, 480}, {171,
251}, {172, 252}, {168, 249}, {445, 492}, {441, 488}, {440, 489}, {399, 478},
{388, 471}, {434, 481}, {433, 482}, {419, 496}, {418, 497}, {417, 498}, {416,
499}, {51, 103}, {387, 471}, {385, 469}, {169, 253}, {170, 254}, {446, 491},
{174, 248}, {384, 470}, {184, 239}, {436, 483}, {435, 484}, {386, 469}, {13,
85}, {14, 86}, {10, 83}, {444, 485}, {12, 86}, {14, 84}, {173, 247}, {14, 85},
{164, 255}, {50, 105}, {49, 106}, {52, 104}, {14, 83}, {443, 486}, {442, 487},
{439, 490}, {389, 472}, {48, 109}, {167, 250}, {390, 472}, {11, 84}, {37, 68},
{49, 80}, {48, 81}, {45, 76}, {40, 74}, {42, 72}, {38, 67}, {394, 495}, {392,
493}, {46, 75}, {15, 105}, {447, 473}, {15, 103}, {57, 80}, {413, 500}, {411,
498}, {409, 496}, {391, 494}, {44, 70}, {57, 82}, {438, 477}, {437, 478}, {415,
500}, {58, 81}, {412, 497}, {414, 499}, {39, 73}, {447, 465}, {43, 69}, {41,
71}, {432, 479}, {55, 71}, {428, 476}, {426, 474}, {56, 72}, {56, 73}, {424,
473}, {402, 483}, {58, 75}, {270, 383}, {54, 68}, {403, 481}, {53, 70}, {425,
474}, {54, 69}, {57, 76}, {430, 475}, {410, 495}, {408, 493}, {401, 484}, {58,
79}, {53, 67}, {429, 475}, {406, 480}, {404, 482}, {57, 78}, {427, 476}, {58,
77}, {16, 104}, {18, 107}, {407, 494}, {397, 500}, {395, 498}, {393, 496}, {52,
77}, {38, 95}, {16, 106}, {17, 109}, {18, 110}, {17, 108}, {398, 499}, {396,
497}, {55, 74}, {51, 78}, {50, 79}, {47, 82}, {423, 473}, {65, 192}, {73, 200},
{64, 194}, {263, 386}, {87, 208}, {312, 447}, {310, 433}, {309, 434}, {308,
435}, {307, 436}, {306, 437}, {305, 438}, {67, 202}, {264, 385}, {266, 387},
{268, 389}, {80, 219}, {94, 213}, {93, 214}, {90, 209}, {89, 210}, {82, 217},
{81, 218}, {65, 205}, {66, 206}, {64, 205}, {74, 199}, {68, 201}, {265, 388},
{267, 390}, {269, 384}, {69, 202}, {92, 211}, {91, 212}, {72, 199}, {71, 200},
{70, 201}, {287, 400}, {377, 489}, {378, 490}, {311, 422}, {311, 421}, {77,
222}, {79, 220}, {78, 221}, {76, 216}, {376, 492}, {381, 488}, {88, 207}, {256,
408}, {314, 418}, {312, 416}, {259, 411}, {260, 412}, {380, 485}, {382, 487},
{313, 419}, {314, 417}, {75, 215}, {375, 491}, {313, 420}, {379, 486}, {257,
414}, {304, 431}, {303, 432}, {258, 413}, {261, 410}, {262, 409}, {7, 167},
{300, 396}, {299, 395}, {298, 394}, {297, 393}, {296, 392}, {295, 391}, {283,
443}, {284, 444}, {22, 183}, {26, 187}, {9, 171}, {63, 157}, {29, 191}, {28,
190}, {24, 186}, {59, 152}, {302, 397}, {301, 398}, {8, 173}, {25, 188}, {23,
178}, {21, 176}, {9, 172}, {8, 174}, {27, 189}, {61, 154}, {312, 415}, {62,
153}, {273, 438}, {274, 437}, {275, 436}, {276, 435}, {277, 434}, {278, 433},
{281, 446}, {282, 445}, {285, 442}, {286, 441}, {24, 177}, {383, 470}, {26,
179}, {28, 182}, {60, 151}, {6, 170}, {21, 184}, {25, 180}, {23, 185}, {27,
181}, {6, 169}, {288, 399}, {7, 168}, {279, 440}, {280, 439}, {319, 399}, {289,
406}, {294, 401}, {293, 402}, {292, 403}, {291, 404}, {290, 405}, {22, 175},
{271, 432}, {272, 431}, {345, 409}, {348, 412}, {347, 411}, {346, 410}, {91,
154}, {363, 426}, {81, 146}, {360, 427}, {350, 413}, {349, 414}, {88, 155}, {82,
145}, {73, 141}, {90, 158}, {89, 157}, {74, 142}, {92, 153}, {365, 424}, {364,
425}, {264, 461}, {266, 463}, {94, 152}, {267, 460}, {362, 429}, {361, 430},
{360, 431}, {268, 459}, {269, 458}, {270, 457}, {69, 140}, {366, 423}, {263,
462}, {67, 137}, {93, 151}, {87, 156}, {367, 420}, {359, 428}, {99, 175}, {70,
139}, {335, 386}, {68, 138}, {71, 136}, {351, 400}, {344, 407}, {343, 408}, {72,
135}, {320, 400}, {350, 398}, {349, 397}, {344, 392}, {343, 391}, {322, 402},
{321, 401}, {96, 177}, {340, 389}, {338, 387}, {336, 385}, {98, 179}, {86, 132},
{101, 182}, {371, 416}, {368, 419}, {346, 393}, {345, 394}, {326, 405}, {325,
406}, {102, 181}, {84, 128}, {100, 176}, {85, 129}, {83, 134}, {341, 384}, {339,
390}, {337, 388}, {97, 180}, {86, 131}, {83, 133}, {85, 130}, {374, 417}, {373,
418}, {370, 421}, {369, 422}, {359, 432}, {351, 392}, {348, 395}, {347, 396},
{324, 403}, {323, 404}, {76, 149}, {77, 148}, {265, 464}, {65, 155}, {361, 434},
{366, 437}, {365, 438}, {362, 433}, {31, 194}, {78, 147}, {75, 150}, {30, 192},
{66, 156}, {64, 158}, {79, 144}, {364, 435}, {363, 436}, {80, 143}, {32, 193},
{333, 428}, {332, 429}, {92, 189}, {90, 187}, {88, 185}, {36, 197}, {34, 195},
{329, 426}, {330, 425}, {109, 137}, {110, 138}, {33, 196}, {334, 427}, {331,
430}, {93, 184}, {91, 190}, {89, 188}, {35, 198}, {105, 142}, {368, 407}, {352,
391}, {336, 439}, {108, 139}, {107, 140}, {106, 141}, {94, 183}, {369, 411},
{371, 409}, {337, 442}, {374, 413}, {373, 414}, {372, 415}, {358, 397}, {357,
398}, {354, 393}, {353, 394}, {342, 445}, {341, 446}, {338, 441}, {87, 186},
{367, 386}, {95, 178}, {370, 412}, {372, 410}, {103, 136}, {356, 395}, {355,
396}, {352, 399}, {340, 443}, {339, 444}, {328, 423}, {327, 424}, {104, 135},
{103, 151}, {104, 152}, {61, 204}, {372, 389}, {370, 387}, {368, 385}, {109,
156}, {63, 206}, {108, 158}, {105, 154}, {106, 153}, {62, 203}, {373, 384},
{371, 390}, {369, 388}, {110, 155}, {107, 157}, {59, 204}, {367, 408}, {358,
401}, {357, 402}, {356, 403}, {355, 404}, {354, 405}, {353, 406}, {335, 440},
{311, 448}, {60, 203}, {315, 451}, {316, 452}, {317, 452}, {61, 198}, {314,
449}, {313, 450}, {62, 197}, {66, 191}, {318, 451}, {63, 193}, {59, 196}, {60,
195}, {111, 362}, {119, 368}, {121, 370}, {126, 373}, {125, 374}, {122, 369},
{123, 372}, {124, 371}, {114, 359}, {120, 367}, {115, 363}, {127, 359}, {116,
364}, {112, 361}, {113, 360}, {117, 366}, {118, 365}, {233, 457}, {234, 458},
{238, 463}, {232, 462}, {111, 328}, {235, 460}, {236, 459}, {231, 461}, {127,
336}, {10, 315}, {13, 316}, {12, 317}, {11, 312}, {13, 313}, {11, 318}, {12,
314}, {112, 327}, {117, 333}, {118, 334}, {113, 330}, {114, 329}, {10, 311},
{237, 464}, {115, 332}, {116, 331}, {235, 426}, {114, 304}, {232, 427}, {117,
305}, {118, 306}, {236, 425}, {237, 424}, {112, 310}, {115, 308}, {116, 307},
{233, 430}, {234, 429}, {240, 439}, {238, 423}, {231, 428}, {241, 445}, {242,
446}, {245, 441}, {246, 442}, {243, 444}, {244, 443}, {247, 420}, {239, 440},
{127, 295}, {251, 418}, {111, 309}, {248, 419}, {252, 417}, {113, 303}, {254,
416}, {249, 422}, {250, 421}, {53, 340}, {55, 342}, {253, 415}, {54, 339}, {53,
338}, {55, 336}, {54, 337}, {255, 407}, {56, 341}, {38, 343}, {44, 349}, {42,
347}, {40, 346}, {126, 268}, {120, 266}, {123, 264}, {41, 348}, {43, 350}, {125,
267}, {56, 335}, {122, 269}, {121, 270}, {124, 263}, {37, 344}, {39, 345}, {119,
265}, {150, 279}, {161, 291}, {172, 302}, {163, 288}, {168, 299}, {169, 298},
{170, 297}, {165, 289}, {166, 290}, {66, 455}, {160, 293}, {173, 296}, {151,
273}, {162, 292}, {171, 301}, {64, 455}, {145, 281}, {146, 282}, {65, 456},
{154, 275}, {174, 295}, {152, 274}, {155, 272}, {158, 277}, {157, 278}, {167,
300}, {175, 291}, {144, 285}, {153, 276}, {149, 280}, {191, 306}, {147, 284},
{148, 283}, {143, 286}, {177, 288}, {180, 293}, {156, 271}, {176, 292}, {181,
289}, {182, 290}, {138, 287}, {179, 294}, {168, 319}, {164, 319}, {159, 257},
{182, 279}, {160, 258}, {161, 259}, {163, 256}, {166, 261}, {165, 262}, {135,
291}, {162, 260}, {128, 296}, {134, 302}, {133, 301}, {130, 299}, {140, 293},
{137, 288}, {131, 298}, {176, 281}, {136, 292}, {142, 290}, {141, 289}, {177,
285}, {178, 286}, {129, 300}, {139, 294}, {132, 297}, {178, 287}, {181, 280},
{179, 284}, {180, 283}, {175, 282}, {8, 447}, {183, 256}, {159, 294}, {191,
262}, {164, 287}, {189, 257}, {190, 258}, {185, 262}, {186, 261}, {187, 260},
{188, 259}, {194, 259}, {210, 275}, {208, 274}, {195, 256}, {211, 272}, {213,
278}, {214, 277}, {215, 276}, {7, 450}, {192, 261}, {193, 260}, {207, 266},
{209, 276}, {6, 449}, {144, 343}, {197, 258}, {198, 257}, {223, 280}, {9, 448},
{146, 347}, {148, 350}, {216, 275}, {217, 274}, {218, 273}, {221, 278}, {222,
277}, {149, 345}, {150, 346}, {220, 272}, {145, 348}, {146, 351}, {147, 349},
{128, 335}, {133, 341}, {134, 342}, {129, 338}, {159, 332}, {130, 337}, {212,
263}, {219, 271}, {131, 340}, {143, 344}, {136, 351}, {132, 339}, {208, 265},
{209, 267}, {211, 264}, {212, 271}, {213, 270}, {214, 269}, {159, 322}, {207,
273}, {210, 268}, {160, 321}, {162, 323}, {163, 320}, {166, 325}, {165, 326},
{161, 324}, {161, 327}, {135, 352}, {167, 320}, {207, 296}, {128, 360}, {216,
304}, {164, 333}, {198, 303}, {221, 308}, {162, 328}, {219, 305}, {137, 354},
{160, 331}, {142, 357}, {141, 358}, {138, 353}, {169, 322}, {170, 321}, {173,
326}, {174, 325}, {165, 329}, {166, 330}, {217, 309}, {218, 310}, {143, 354},
{163, 334}, {222, 307}, {220, 306}, {129, 366}, {140, 355}, {139, 356}, {134,
361}, {133, 362}, {132, 363}, {131, 364}, {130, 365}, {171, 324}, {172, 323},
{147, 355}, {150, 358}, {149, 357}, {148, 356}, {144, 353}, {145, 352}, {192,
305}, {193, 307}, {196, 310}, {2, 503}, {3, 502}, {197, 304}, {3, 501}, {194,
308}, {195, 309}, {63, 456}, {208, 295}, {224, 279}, {4, 508}, {62, 454}, {61,
453}, {215, 303}, {60, 453}, {211, 298}, {213, 300}, {2, 504}, {5, 511}, {5,
505}, {225, 285}, {226, 286}, {3, 510}, {59, 454}, {212, 297}, {214, 299}, {2,
509}, {5, 506}, {4, 507}, {209, 302}, {210, 301}, {227, 284}, {228, 283}, {229,
282}, {230, 281}, {4, 512}, {468, 512}, {471, 512}, {475, 512} }>;
(II) A more general form is to represent the graph as the orbit of {20, 21}
under the group generated by the following permutations:
a: (1, 37)(2, 30)(3, 68)(4, 96)(5, 344)(6, 95)(7, 87)(8, 244)(9, 79)(10, 38)(11,
156)(12, 185)(13, 220)(14, 191)(15, 133)(16, 503)(17, 377)(18, 383)(19, 418)(20,
430)(21, 361)(22, 497)(23, 314)(24, 475)(25, 233)(26, 251)(27, 331)(28, 373)(29,
83)(31, 341)(32, 490)(33, 324)(34, 270)(35, 374)(36, 332)(39, 115)(40, 125)(41,
213)(42, 161)(43, 453)(44, 446)(45, 504)(46, 134)(47, 384)(48, 378)(49, 457)(50,
171)(51, 429)(52, 417)(53, 375)(54, 501)(55, 157)(56, 194)(57, 458)(58, 172)(59,
356)(60, 98)(61, 350)(62, 294)(63, 336)(64, 335)(65, 469)(66, 84)(67, 315)(69,
492)(70, 491)(71, 278)(72, 259)(73, 308)(74, 89)(75, 302)(76, 483)(77, 252)(78,
234)(80, 465)(81, 323)(82, 269)(85, 306)(86, 262)(88, 317)(90, 279)(91, 499)(92,
321)(93, 309)(94, 348)(97, 281)(99, 300)(100, 327)(101, 102)(103, 362)(104,
498)(105, 301)(106, 484)(107, 342)(108, 489)(109, 318)(110, 470)(111, 151)(112,
176)(113, 507)(114, 169)(116, 181)(117, 424)(118, 129)(119, 380)(120, 167)(121,
195)(122, 145)(123, 508)(124, 170)(126, 182)(127, 206)(128, 455)(130, 437)(131,
165)(132, 409)(135, 411)(136, 433)(137, 451)(138, 510)(139, 454)(140, 445)(141,
435)(142, 210)(143, 511)(144, 448)(146, 404)(147, 229)(148, 204)(149, 436)(150,
209)(152, 395)(153, 401)(154, 398)(155, 452)(158, 440)(159, 197)(160, 189)(162,
218)(163, 387)(164, 464)(166, 459)(168, 208)(173, 443)(174, 227)(175, 396)(177,
512)(178, 449)(179, 203)(180, 230)(183, 412)(184, 434)(186, 450)(187, 224)(188,
199)(190, 414)(192, 509)(193, 439)(196, 403)(198, 413)(200, 221)(201, 502)(202,
376)(205, 386)(207, 379)(211, 382)(212, 416)(214, 217)(215, 397)(216, 402)(219,
447)(222, 223)(225, 462)(226, 428)(228, 420)(231, 246)(232, 245)(235, 495)(236,
325)(237, 333)(238, 477)(239, 277)(240, 260)(241, 293)(242, 349)(243, 313)(247,
283)(248, 284)(249, 295)(250, 367)(253, 359)(254, 263)(255, 481)(256, 370)(257,
258)(261, 466)(264, 487)(265, 319)(266, 320)(267, 346)(268, 290)(271, 312)(272,
316)(273, 328)(274, 299)(275, 357)(276, 358)(280, 307)(282, 355)(285, 468)(286,
476)(287, 467)(288, 471)(289, 364)(291, 347)(292, 310)(296, 486)(297, 371)(298,
329)(303, 500)(304, 322)(305, 473)(311, 343)(326, 340)(330, 480)(334, 338)(337,
478)(339, 496)(345, 363)(351, 482)(352, 369)(353, 474)(354, 472)(360, 488)(365,
366)(368, 485)(372, 479)(381, 431)(385, 456)(388, 399)(389, 405)(390, 393)(391,
422)(392, 505)(394, 426)(400, 463)(406, 425)(407, 506)(408, 421)(410, 460)(415,
432)(419, 444)(423, 438)(427, 441)(442, 461)(493, 494) (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: (15, 16)(17, 18)(19, 20)(21, 22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(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,
74)(75, 76)(77, 78)(79, 80)(81, 82)(87, 88)(89, 90)(91, 92)(93, 94)(95, 96)(97,
98)(99, 100)(101, 102)(103, 104)(105, 106)(107, 108)(109, 110)(111, 112)(113,
114)(115, 116)(117, 118)(119, 120)(121, 122)(123, 124)(125, 126)(127, 128)(129,
130)(131, 132)(133, 134)(135, 136)(137, 138)(139, 140)(141, 142)(143, 144)(145,
146)(147, 148)(149, 150)(151, 152)(153, 154)(155, 156)(157, 158)(159, 160)(161,
162)(163, 164)(165, 166)(167, 168)(169, 170)(171, 172)(173, 174)(175, 176)(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)(225,
226)(227, 228)(229, 230)(231, 232)(233, 234)(235, 236)(237, 238)(239, 240)(241,
242)(243, 244)(245, 246)(247, 248)(249, 250)(251, 252)(253, 254)(255, 256)(257,
258)(259, 260)(261, 262)(263, 264)(265, 266)(267, 268)(269, 270)(271, 272)(273,
274)(275, 276)(277, 278)(279, 280)(281, 282)(283, 284)(285, 286)(287, 288)(289,
290)(291, 292)(293, 294)(295, 296)(297, 298)(299, 300)(301, 302)(303, 304)(305,
306)(307, 308)(309, 310)(319, 320)(321, 322)(323, 324)(325, 326)(327, 328)(329,
330)(331, 332)(333, 334)(335, 336)(337, 338)(339, 340)(341, 342)(343, 344)(345,
346)(347, 348)(349, 350)(351, 352)(353, 354)(355, 356)(357, 358)(359, 360)(361,
362)(363, 364)(365, 366)(367, 368)(369, 370)(371, 372)(373, 374)(375, 376)(377,
378)(379, 380)(381, 382)(383, 384)(385, 386)(387, 388)(389, 390)(391, 392)(393,
394)(395, 396)(397, 398)(399, 400)(401, 402)(403, 404)(405, 406)(407, 408)(409,
410)(411, 412)(413, 414)(415, 416)(417, 418)(419, 420)(421, 422)(423, 424)(425,
426)(427, 428)(429, 430)(431, 432)(433, 434)(435, 436)(437, 438)(439, 440)(441,
442)(443, 444)(445, 446)(453, 454)(455, 456)(457, 458)(459, 460)(461, 462)(463,
464)(477, 478)(479, 480)(481, 482)(483, 484)(485, 486)(487, 488)(489, 490)(491,
492)(493, 494)(495, 496)(497, 498)(499, 500)(501, 502)(503, 504)(505, 506)(507,
508)
c: (1, 15)(2, 29)(3, 31)(4, 103)(5, 105)(6, 22)(7, 27)(8, 77)(9, 80)(10, 45)(11,
48)(12, 52)(13, 49)(14, 16)(17, 451)(18, 452)(19, 449)(20, 450)(21, 466)(23,
314)(24, 475)(25, 313)(26, 476)(28, 467)(30, 83)(32, 84)(33, 472)(34, 316)(35,
317)(36, 471)(37, 133)(38, 504)(39, 388)(40, 380)(41, 382)(42, 390)(43, 128)(44,
502)(46, 509)(47, 510)(50, 511)(51, 512)(53, 454)(54, 56)(55, 456)(57, 448)(58,
447)(59, 340)(60, 488)(61, 486)(62, 338)(63, 336)(64, 492)(65, 342)(66, 490)(67,
489)(68, 341)(69, 335)(70, 491)(71, 487)(72, 339)(73, 337)(74, 485)(75, 473)(76,
311)(78, 468)(79, 465)(81, 312)(82, 474)(85, 106)(86, 104)(87, 331)(88, 374)(89,
368)(90, 333)(91, 482)(92, 300)(93, 480)(94, 298)(95, 497)(96, 362)(97, 495)(98,
360)(99, 321)(100, 267)(101, 265)(102, 319)(107, 469)(108, 315)(109, 318)(110,
470)(111, 113)(112, 410)(114, 412)(115, 399)(116, 208)(117, 209)(118, 401)(119,
125)(120, 160)(121, 431)(122, 394)(123, 433)(124, 396)(126, 164)(127, 193)(129,
153)(130, 141)(131, 152)(132, 135)(134, 192)(136, 508)(137, 377)(138, 384)(139,
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248)(247, 283)(249, 280)(251, 286)(254, 282)(255, 268)(256, 322)(257, 320)(258,
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272)(271, 323)(273, 500)(274, 364)(275, 494)(276, 366)(277, 325)(287, 373)(288,
332)(289, 299)(290, 481)(291, 297)(292, 479)(293, 367)(294, 334)(295, 307)(296,
350)(301, 344)(302, 305)(303, 328)(304, 370)(306, 484)(308, 478)(309, 330)(310,
372)(324, 354)(326, 356)(327, 346)(329, 348)(343, 483)(345, 369)(347, 371)(349,
477)(351, 499)(352, 363)(357, 493)(358, 365)(391, 436)(392, 398)(397, 438)(400,
414)(402, 408)(403, 405)(409, 411)(435, 437)(453, 455)
d: (2, 3)(4, 5)(6, 7)(8, 9)(10, 11)(12, 13)(19, 20)(21, 28)(22, 27)(23, 25)(24,
26)(29, 31)(30, 32)(33, 36)(34, 35)(37, 43)(38, 44)(39, 42)(40, 41)(45, 48)(46,
47)(49, 52)(50, 51)(57, 58)(59, 62)(60, 61)(63, 65)(64, 66)(67, 70)(68, 69)(71,
74)(72, 73)(75, 82)(76, 81)(77, 80)(78, 79)(83, 84)(85, 86)(87, 90)(88, 89)(91,
93)(92, 94)(95, 97)(96, 98)(99, 102)(100, 101)(103, 105)(104, 106)(107,
110)(108, 109)(111, 113)(112, 114)(115, 118)(116, 117)(119, 125)(120, 126)(121,
123)(122, 124)(127, 134)(128, 133)(129, 131)(130, 132)(135, 141)(136, 142)(137,
139)(138, 140)(143, 148)(144, 147)(145, 150)(146, 149)(151, 154)(152, 153)(155,
157)(156, 158)(159, 163)(160, 164)(161, 165)(162, 166)(167, 169)(168, 170)(171,
173)(172, 174)(175, 181)(176, 182)(177, 179)(178, 180)(183, 189)(184, 190)(185,
188)(186, 187)(191, 194)(192, 193)(195, 198)(196, 197)(199, 200)(201, 202)(203,
204)(205, 206)(207, 210)(208, 209)(211, 213)(212, 214)(215, 217)(216, 218)(219,
222)(220, 221)(223, 229)(224, 230)(225, 227)(226, 228)(231, 233)(232, 234)(235,
237)(236, 238)(239, 242)(240, 241)(243, 246)(244, 245)(247, 251)(248, 252)(249,
254)(250, 253)(255, 258)(256, 257)(259, 262)(260, 261)(263, 269)(264, 270)(265,
267)(266, 268)(271, 277)(272, 278)(273, 275)(274, 276)(279, 281)(280, 282)(283,
286)(284, 285)(287, 293)(288, 294)(289, 291)(290, 292)(295, 302)(296, 301)(297,
299)(298, 300)(303, 309)(304, 310)(305, 307)(306, 308)(311, 312)(313, 314)(315,
318)(316, 317)(319, 321)(320, 322)(323, 325)(324, 326)(327, 329)(328, 330)(331,
333)(332, 334)(335, 341)(336, 342)(337, 339)(338, 340)(343, 349)(344, 350)(345,
347)(346, 348)(351, 357)(352, 358)(353, 355)(354, 356)(359, 361)(360, 362)(363,
365)(364, 366)(367, 373)(368, 374)(369, 371)(370, 372)(375, 377)(376, 378)(379,
381)(380, 382)(383, 385)(384, 386)(387, 389)(388, 390)(391, 397)(392, 398)(393,
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429)(428, 430)(431, 433)(432, 434)(435, 437)(436, 438)(439, 445)(440, 446)(441,
443)(442, 444)(447, 448)(449, 450)(457, 461)(458, 462)(459, 463)(460, 464)(465,
468)(466, 467)(469, 470)(471, 472)(473, 474)(475, 476)(477, 483)(478, 484)(479,
481)(480, 482)(485, 487)(486, 488)(489, 491)(490, 492)(493, 499)(494, 500)(495,
497)(496, 498)(501, 503)(502, 504)(505, 507)(506, 508)(509, 510)(511, 512)
e: (1, 10)(2, 83)(3, 315)(4, 6)(5, 311)(7, 317)(8, 313)(9, 465)(11, 452)(12,
450)(13, 447)(14, 509)(15, 45)(16, 46)(17, 47)(18, 48)(19, 51)(20, 52)(21,
104)(22, 103)(23, 24)(25, 77)(26, 78)(27, 35)(28, 36)(29, 30)(31, 108)(32,
107)(33, 82)(34, 81)(37, 38)(39, 182)(40, 181)(41, 218)(42, 217)(43, 140)(44,
139)(49, 58)(50, 57)(53, 201)(54, 202)(55, 439)(56, 440)(59, 281)(60, 282)(61,
241)(62, 242)(65, 66)(67, 68)(71, 240)(72, 239)(73, 279)(74, 280)(75, 106)(76,
105)(79, 80)(84, 469)(85, 473)(86, 466)(87, 88)(89, 307)(90, 308)(91, 304)(92,
303)(93, 291)(94, 292)(95, 96)(97, 356)(98, 355)(99, 273)(100, 274)(109,
110)(111, 396)(112, 395)(113, 124)(114, 123)(115, 126)(116, 125)(117, 437)(118,
438)(119, 208)(120, 207)(121, 404)(122, 403)(127, 385)(128, 386)(129, 423)(130,
424)(131, 460)(132, 459)(133, 504)(134, 503)(135, 184)(136, 183)(137, 138)(141,
150)(142, 149)(143, 144)(145, 196)(146, 195)(147, 179)(148, 180)(151, 175)(152,
176)(153, 215)(154, 216)(155, 156)(157, 193)(158, 194)(159, 414)(160, 413)(161,
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402)(411, 434)(412, 433)(417, 430)(418, 429)(421, 505)(422, 506)(427, 462)(428,
461)(445, 453)(446, 454)(448, 511)(449, 512)(451, 510)(467, 471)(468, 476)(472,
474)
f: (2, 4, 3, 5)(6, 8, 7, 9)(10, 12, 11, 13)(15, 17, 16, 18)(19, 20)(21, 26, 27,
23)(22, 25, 28, 24)(29, 33, 32, 35)(30, 34, 31, 36)(37, 41, 44, 39)(38, 42, 43,
40)(45, 49, 47, 51)(46, 50, 48, 52)(53, 56, 54, 55)(59, 63, 61, 66)(60, 64, 62,
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85)(87, 94, 89, 91)(88, 93, 90, 92)(95, 100, 98, 102)(96, 99, 97, 101)(103, 108,
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126, 124)(120, 122, 125, 123)(127, 129, 133, 132)(128, 130, 134, 131)(135, 140,
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170, 174)(168, 172, 169, 173)(175, 180, 182, 177)(176, 179, 181, 178)(183, 188,
190, 186)(184, 187, 189, 185)(191, 196, 193, 198)(192, 195, 194, 197)(199,
202)(200, 201)(203, 205)(204, 206)(207, 214, 209, 211)(208, 213, 210, 212)(215,
220, 218, 222)(216, 219, 217, 221)(223, 226, 230, 227)(224, 225, 229, 228)(231,
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249, 252, 253)(248, 250, 251, 254)(255, 260, 257, 262)(256, 259, 258, 261)(263,
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366, 362, 363)(360, 365, 361, 364)(367, 369, 374, 372)(368, 370, 373, 371)(375,
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396, 398, 393)(392, 395, 397, 394)(399, 404, 402, 405)(400, 403, 401, 406)(407,
412, 414, 409)(408, 411, 413, 410)(415, 420, 422, 417)(416, 419, 421, 418)(423,
429, 426, 428)(424, 430, 425, 427)(431, 438, 434, 435)(432, 437, 433, 436)(439,
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472)(473, 475, 474, 476)(477, 481, 484, 480)(478, 482, 483, 479)(485, 490, 488,
491)(486, 489, 487, 492)(493, 498, 500, 495)(494, 497, 499, 496)(501, 505, 504,
508)(502, 506, 503, 507)(509, 512, 510, 511)
C4[ 512, 585 ]
512
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0