Graph forms
for C4 [ 512, 584 ] = SS[512,119]
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On this page are computer-accessible forms for the graph C4[ 512, 584 ] =
SS[512,119].
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {464, 465}, {1, 3}, {464, 466}, {125, 127}, {20, 22}, {1, 2},
{464, 467}, {125, 126}, {1, 5}, {464, 468}, {306, 310}, {200, 204}, {201, 205},
{1, 4}, {306, 311}, {122, 127}, {18, 23}, {307, 309}, {121, 126}, {307, 308},
{119, 127}, {198, 207}, {199, 206}, {19, 25}, {80, 91}, {500, 511}, {117, 126},
{81, 90}, {194, 206}, {498, 510}, {497, 509}, {195, 207}, {198, 202}, {199,
203}, {16, 29}, {21, 24}, {17, 28}, {17, 31}, {21, 27}, {20, 26}, {18, 29},
{496, 511}, {19, 28}, {193, 206}, {14, 30}, {494, 510}, {493, 509}, {491, 507},
{489, 505}, {486, 502}, {485, 501}, {456, 472}, {192, 209}, {13, 31}, {196,
214}, {13, 30}, {463, 476}, {297, 314}, {296, 315}, {14, 26}, {483, 503}, {482,
502}, {481, 501}, {462, 474}, {461, 473}, {387, 407}, {15, 27}, {196, 208},
{197, 209}, {194, 215}, {385, 404}, {297, 316}, {296, 317}, {384, 406}, {492,
506}, {490, 508}, {449, 471}, {448, 470}, {78, 89}, {460, 475}, {386, 405}, {79,
88}, {75, 83}, {459, 467}, {457, 465}, {455, 479}, {449, 473}, {295, 319}, {294,
318}, {77, 85}, {200, 209}, {452, 477}, {451, 474}, {450, 475}, {201, 208},
{195, 217}, {462, 468}, {456, 466}, {451, 473}, {448, 474}, {300, 311}, {480,
507}, {453, 478}, {301, 310}, {385, 413}, {484, 504}, {457, 469}, {197, 216},
{463, 466}, {460, 465}, {459, 470}, {458, 471}, {387, 414}, {74, 84}, {461,
467}, {458, 468}, {450, 476}, {386, 412}, {295, 313}, {294, 312}, {76, 82},
{193, 222}, {488, 503}, {487, 504}, {384, 415}, {299, 308}, {298, 309}, {79,
111}, {474, 506}, {473, 505}, {470, 502}, {469, 501}, {80, 112}, {192, 225},
{10, 40}, {21, 55}, {17, 51}, {199, 229}, {276, 310}, {277, 311}, {10, 41},
{479, 508}, {78, 109}, {75, 104}, {18, 54}, {478, 506}, {477, 505}, {79, 107},
{78, 106}, {198, 226}, {16, 53}, {454, 480}, {8, 47}, {476, 507}, {475, 508},
{73, 110}, {64, 103}, {9, 46}, {274, 309}, {275, 308}, {68, 108}, {11, 34},
{454, 495}, {452, 493}, {70, 111}, {66, 107}, {65, 104}, {12, 37}, {67, 105},
{77, 103}, {76, 102}, {71, 109}, {19, 56}, {468, 511}, {453, 494}, {200, 227},
{10, 38}, {466, 510}, {465, 509}, {13, 33}, {10, 39}, {20, 57}, {17, 60}, {16,
61}, {13, 32}, {201, 228}, {272, 317}, {273, 316}, {15, 33}, {11, 36}, {472,
503}, {471, 504}, {74, 101}, {69, 106}, {12, 35}, {16, 32}, {270, 318}, {271,
319}, {74, 123}, {266, 312}, {267, 313}, {14, 58}, {15, 59}, {76, 121}, {75,
124}, {455, 496}, {77, 122}, {268, 315}, {269, 314}, {8, 48}, {72, 112}, {19,
43}, {12, 52}, {9, 49}, {11, 50}, {80, 105}, {21, 44}, {15, 52}, {14, 50}, {81,
108}, {11, 53}, {20, 42}, {12, 51}, {81, 110}, {18, 45}, {7, 71}, {435, 499},
{431, 495}, {415, 479}, {22, 86}, {7, 70}, {432, 497}, {428, 493}, {412, 477},
{305, 368}, {298, 363}, {163, 226}, {23, 86}, {165, 228}, {262, 327}, {22, 84},
{304, 370}, {182, 244}, {183, 245}, {263, 325}, {30, 93}, {433, 498}, {429,
494}, {413, 478}, {303, 364}, {302, 365}, {299, 360}, {293, 358}, {292, 359},
{50, 113}, {49, 114}, {31, 92}, {165, 230}, {48, 116}, {427, 495}, {287, 347},
{271, 331}, {279, 339}, {23, 82}, {424, 493}, {300, 361}, {162, 231}, {262,
323}, {263, 322}, {278, 336}, {434, 500}, {291, 357}, {290, 356}, {286, 344},
{51, 116}, {425, 494}, {301, 362}, {164, 227}, {162, 229}, {53, 114}, {52, 115},
{270, 329}, {6, 78}, {306, 378}, {264, 320}, {265, 321}, {6, 79}, {306, 379},
{156, 213}, {154, 211}, {43, 98}, {42, 99}, {168, 225}, {169, 224}, {280, 337},
{163, 233}, {307, 377}, {8, 67}, {307, 376}, {161, 234}, {24, 83}, {9, 66},
{184, 243}, {185, 242}, {281, 338}, {8, 68}, {305, 381}, {164, 232}, {160, 236},
{25, 85}, {9, 69}, {258, 334}, {264, 324}, {258, 335}, {260, 329}, {261, 328},
{7, 73}, {304, 382}, {45, 99}, {44, 98}, {25, 87}, {175, 225}, {259, 333}, {7,
72}, {161, 238}, {157, 210}, {155, 212}, {24, 87}, {259, 332}, {260, 331}, {261,
330}, {265, 326}, {57, 105}, {439, 487}, {436, 484}, {419, 499}, {303, 383},
{160, 241}, {440, 489}, {436, 485}, {416, 497}, {177, 224}, {56, 106}, {441,
491}, {422, 500}, {302, 380}, {187, 233}, {42, 121}, {441, 490}, {437, 486},
{417, 498}, {293, 374}, {292, 375}, {59, 104}, {256, 339}, {257, 338}, {188,
232}, {440, 492}, {439, 483}, {438, 482}, {437, 481}, {423, 499}, {420, 497},
{6, 80}, {418, 500}, {291, 373}, {290, 372}, {45, 123}, {44, 122}, {6, 81},
{421, 498}, {43, 124}, {62, 102}, {285, 325}, {272, 328}, {284, 324}, {283,
322}, {54, 108}, {426, 496}, {63, 101}, {282, 320}, {60, 103}, {443, 480}, {61,
102}, {189, 230}, {268, 343}, {269, 342}, {273, 330}, {276, 335}, {277, 334},
{47, 115}, {55, 107}, {256, 348}, {282, 326}, {283, 327}, {285, 321}, {186,
231}, {302, 371}, {288, 381}, {190, 224}, {438, 488}, {430, 496}, {303, 369},
{257, 351}, {266, 340}, {267, 341}, {274, 332}, {275, 333}, {46, 113}, {305,
366}, {304, 367}, {289, 382}, {58, 101}, {284, 323}, {146, 242}, {287, 383},
{148, 244}, {173, 205}, {191, 223}, {170, 203}, {298, 331}, {139, 233}, {394,
488}, {390, 484}, {299, 329}, {286, 380}, {168, 202}, {184, 218}, {185, 219},
{134, 229}, {447, 476}, {144, 243}, {181, 214}, {135, 227}, {444, 472}, {443,
479}, {442, 478}, {391, 483}, {140, 232}, {145, 244}, {446, 475}, {388, 481},
{301, 328}, {169, 204}, {178, 215}, {147, 245}, {446, 472}, {398, 488}, {300,
330}, {151, 241}, {149, 243}, {172, 202}, {177, 215}, {171, 204}, {442, 477},
{389, 482}, {297, 334}, {296, 335}, {152, 240}, {399, 487}, {304, 344}, {176,
216}, {178, 218}, {179, 219}, {180, 220}, {181, 221}, {186, 210}, {188, 213},
{444, 469}, {396, 485}, {136, 226}, {447, 469}, {445, 471}, {305, 347}, {182,
220}, {183, 221}, {129, 234}, {445, 470}, {397, 486}, {295, 332}, {294, 333},
{141, 230}, {133, 238}, {132, 239}, {166, 205}, {179, 216}, {49, 93}, {395,
487}, {167, 203}, {128, 237}, {392, 485}, {138, 231}, {137, 228}, {180, 217},
{189, 211}, {190, 208}, {48, 95}, {393, 486}, {159, 240}, {176, 223}, {187,
212}, {46, 94}, {403, 483}, {156, 236}, {174, 222}, {191, 207}, {154, 235},
{411, 490}, {410, 491}, {408, 489}, {158, 239}, {170, 219}, {171, 218}, {172,
221}, {173, 220}, {130, 240}, {400, 482}, {159, 237}, {131, 241}, {47, 92},
{402, 481}, {302, 346}, {158, 235}, {409, 492}, {401, 484}, {153, 239}, {303,
345}, {155, 237}, {278, 352}, {279, 353}, {157, 234}, {174, 217}, {150, 238},
{289, 345}, {166, 222}, {167, 223}, {35, 90}, {405, 492}, {175, 214}, {143,
245}, {288, 346}, {34, 89}, {280, 355}, {281, 354}, {36, 88}, {142, 242}, {404,
489}, {407, 490}, {406, 491}, {32, 94}, {414, 480}, {37, 91}, {33, 95}, {317,
441}, {316, 441}, {318, 440}, {319, 440}, {312, 433}, {315, 434}, {314, 435},
{313, 432}, {126, 236}, {127, 235}, {365, 460}, {367, 462}, {364, 463}, {366,
461}, {310, 402}, {311, 403}, {308, 401}, {309, 400}, {111, 201}, {110, 199},
{109, 198}, {316, 402}, {319, 401}, {318, 400}, {317, 403}, {115, 195}, {116,
196}, {72, 250}, {113, 194}, {73, 253}, {312, 396}, {117, 192}, {314, 399},
{315, 397}, {114, 197}, {313, 398}, {118, 193}, {112, 200}, {71, 252}, {368,
460}, {379, 455}, {378, 454}, {377, 453}, {376, 452}, {369, 461}, {70, 251},
{371, 462}, {370, 463}, {118, 182}, {330, 394}, {328, 392}, {120, 185}, {61,
255}, {331, 393}, {329, 395}, {117, 183}, {58, 254}, {349, 409}, {333, 393},
{120, 189}, {351, 410}, {335, 394}, {334, 392}, {350, 408}, {120, 191}, {348,
411}, {332, 395}, {358, 430}, {119, 190}, {357, 428}, {84, 158}, {359, 429},
{118, 188}, {356, 431}, {119, 187}, {82, 159}, {96, 174}, {339, 413}, {338,
412}, {337, 415}, {336, 414}, {96, 175}, {119, 184}, {117, 186}, {97, 177}, {98,
178}, {97, 176}, {354, 435}, {352, 433}, {343, 390}, {341, 388}, {98, 179},
{346, 392}, {347, 393}, {340, 391}, {355, 432}, {353, 434}, {345, 394}, {344,
395}, {342, 389}, {99, 181}, {99, 180}, {36, 252}, {37, 253}, {32, 249}, {35,
250}, {34, 251}, {33, 248}, {321, 413}, {322, 414}, {38, 248}, {327, 409}, {326,
408}, {325, 411}, {324, 410}, {41, 247}, {40, 246}, {39, 249}, {320, 415}, {323,
412}, {324, 420}, {327, 423}, {326, 422}, {325, 421}, {376, 409}, {379, 410},
{378, 411}, {377, 408}, {28, 255}, {115, 144}, {114, 145}, {112, 148}, {360,
396}, {27, 254}, {363, 398}, {361, 399}, {362, 397}, {30, 247}, {367, 390},
{365, 388}, {31, 246}, {88, 179}, {366, 389}, {364, 391}, {89, 178}, {92, 176},
{320, 429}, {382, 403}, {380, 401}, {323, 430}, {95, 177}, {322, 428}, {321,
431}, {90, 181}, {383, 400}, {381, 402}, {91, 180}, {93, 173}, {104, 152}, {94,
174}, {88, 169}, {358, 407}, {357, 404}, {123, 138}, {102, 151}, {83, 161},
{373, 391}, {372, 390}, {359, 405}, {356, 406}, {94, 172}, {93, 175}, {91, 168},
{375, 388}, {374, 389}, {107, 152}, {106, 153}, {101, 150}, {354, 406}, {85,
160}, {352, 405}, {121, 140}, {95, 170}, {353, 407}, {82, 165}, {355, 404},
{124, 139}, {122, 141}, {118, 129}, {92, 171}, {85, 162}, {84, 163}, {83, 164},
{100, 156}, {120, 128}, {109, 149}, {100, 157}, {86, 172}, {123, 129}, {116,
142}, {86, 173}, {108, 151}, {87, 171}, {371, 399}, {370, 398}, {369, 397},
{368, 396}, {125, 129}, {124, 128}, {90, 166}, {87, 170}, {343, 426}, {342,
427}, {341, 424}, {340, 425}, {125, 128}, {111, 146}, {110, 147}, {89, 167},
{113, 143}, {103, 153}, {100, 154}, {100, 155}, {105, 150}, {183, 439}, {164,
421}, {188, 445}, {189, 444}, {165, 423}, {182, 437}, {163, 422}, {162, 420},
{186, 445}, {187, 444}, {160, 424}, {161, 425}, {191, 439}, {190, 437}, {185,
436}, {184, 438}, {168, 443}, {169, 442}, {26, 257}, {29, 256}, {166, 443},
{167, 442}, {38, 262}, {55, 279}, {54, 278}, {40, 265}, {130, 419}, {57, 280},
{56, 281}, {50, 273}, {131, 416}, {56, 283}, {133, 417}, {142, 426}, {53, 272},
{57, 284}, {132, 418}, {143, 425}, {40, 271}, {35, 267}, {38, 270}, {36, 269},
{47, 262}, {46, 263}, {54, 285}, {55, 282}, {34, 268}, {41, 263}, {37, 266},
{39, 264}, {158, 426}, {159, 427}, {39, 273}, {134, 446}, {135, 447}, {41, 272},
{145, 424}, {49, 264}, {48, 265}, {133, 447}, {52, 271}, {144, 427}, {59, 256},
{62, 258}, {51, 270}, {131, 446}, {63, 258}, {60, 257}, {65, 259}, {135, 453},
{134, 452}, {64, 259}, {130, 449}, {132, 448}, {67, 267}, {137, 449}, {136,
448}, {69, 269}, {76, 261}, {139, 450}, {138, 451}, {77, 260}, {66, 268}, {68,
266}, {74, 261}, {141, 450}, {140, 451}, {137, 454}, {136, 455}, {75, 260}, {66,
275}, {68, 277}, {210, 387}, {211, 385}, {70, 274}, {71, 275}, {213, 384}, {212,
386}, {67, 276}, {69, 274}, {72, 277}, {73, 276}, {195, 435}, {194, 433}, {193,
436}, {197, 432}, {192, 438}, {196, 434}, {230, 356}, {231, 357}, {246, 372},
{247, 373}, {154, 286}, {155, 287}, {152, 285}, {153, 284}, {227, 363}, {42,
419}, {43, 417}, {234, 352}, {235, 353}, {64, 459}, {65, 458}, {226, 361}, {44,
416}, {151, 283}, {150, 282}, {225, 364}, {229, 360}, {224, 366}, {228, 362},
{248, 374}, {249, 375}, {45, 418}, {232, 359}, {233, 358}, {236, 355}, {237,
354}, {137, 281}, {135, 278}, {248, 361}, {141, 287}, {249, 363}, {139, 286},
{61, 421}, {204, 341}, {205, 343}, {60, 423}, {62, 418}, {63, 419}, {202, 342},
{246, 362}, {59, 422}, {58, 420}, {134, 280}, {136, 279}, {203, 340}, {247,
360}, {130, 290}, {131, 291}, {254, 350}, {132, 293}, {133, 292}, {214, 372},
{215, 373}, {252, 350}, {253, 351}, {255, 349}, {142, 301}, {143, 299}, {250,
348}, {251, 349}, {219, 371}, {243, 347}, {210, 379}, {251, 338}, {138, 288},
{242, 344}, {250, 336}, {211, 376}, {218, 369}, {220, 368}, {245, 345}, {253,
337}, {140, 289}, {212, 377}, {241, 348}, {240, 350}, {244, 346}, {208, 383},
{209, 382}, {213, 378}, {216, 375}, {217, 374}, {221, 370}, {252, 339}, {254,
337}, {255, 336}, {146, 290}, {149, 293}, {148, 292}, {147, 291}, {223, 367},
{29, 428}, {238, 351}, {28, 430}, {239, 349}, {148, 295}, {206, 381}, {207,
380}, {222, 365}, {27, 431}, {147, 294}, {26, 429}, {146, 296}, {145, 298},
{144, 300}, {157, 289}, {156, 288}, {149, 297}, {24, 459}, {25, 458}, {22, 456},
{23, 457}, {96, 384}, {97, 385}, {64, 417}, {65, 416}, {96, 387}, {97, 386}, {5,
501}, {2, 503}, {3, 502}, {62, 456}, {63, 457}, {2, 507}, {5, 508}, {3, 505},
{5, 510}, {3, 511}, {4, 504}, {4, 506}, {2, 509}, {4, 512}, {467, 512}, {495,
512}, {499, 512} }>;
(II) A more general form is to represent the graph as the orbit of {464, 465}
under the group generated by the following permutations:
a: (1, 18, 17, 243)(2, 29, 31, 184)(3, 23, 28, 144)(4, 45, 60, 149)(5, 54, 51,
347)(6, 395, 288, 429)(7, 401, 118, 238)(8, 400, 460, 421)(9, 219, 289, 280)(10,
224, 463, 241)(11, 223, 117, 420)(12, 393, 501, 278)(13, 218, 503, 428)(14, 89,
439, 231)(15, 397, 444, 414)(16, 92, 438, 509)(19, 300, 505, 86)(20, 106, 399,
451)(21, 296, 211, 96)(22, 56, 361, 473)(24, 335, 376, 174)(25, 330, 477,
172)(26, 78, 487, 138)(27, 315, 189, 387)(30, 178, 483, 357)(32, 171, 488,
493)(33, 369, 472, 322)(34, 191, 186, 58)(35, 331, 481, 135)(36, 367, 126,
324)(37, 333, 485, 352)(38, 366, 466, 151)(39, 169, 370, 160)(40, 190, 476,
348)(41, 177, 364, 131)(42, 153, 314, 474)(43, 311, 489, 173)(44, 317, 385,
175)(46, 170, 345, 134)(47, 482, 465, 61)(48, 383, 475, 325)(49, 179, 382,
355)(50, 167, 183, 162)(52, 486, 469, 336)(53, 176, 192, 497)(55, 146, 154,
384)(57, 69, 371, 140)(59, 362, 187, 480)(62, 327, 374, 467)(63, 349, 195,
470)(64, 334, 492, 180)(65, 328, 386, 168)(66, 185, 157, 337)(67, 309, 365,
164)(68, 318, 368, 498)(70, 380, 188, 150)(71, 484, 129, 351)(72, 319, 182,
133)(73, 308, 193, 161)(74, 338, 198, 471)(75, 310, 377, 166)(76, 323, 342,
468)(77, 316, 478, 181)(79, 344, 156, 320)(80, 332, 346, 359)(81, 329, 381,
494)(82, 430, 427, 511)(83, 276, 307, 222)(84, 281, 226, 449)(85, 273, 442,
221)(87, 394, 452, 94)(88, 304, 236, 264)(90, 260, 402, 453)(91, 259, 392,
405)(93, 98, 403, 404)(95, 303, 446, 263)(97, 225, 416, 272)(99, 103, 297,
506)(100, 415, 107, 242)(101, 251, 207, 445)(102, 262, 389, 464)(104, 301, 212,
443)(105, 274, 302, 232)(108, 270, 305, 510)(109, 504, 123, 257)(110, 299, 206,
425)(111, 286, 213, 282)(112, 295, 244, 292)(113, 203, 245, 229)(114, 216, 209,
432)(115, 502, 457, 255)(116, 287, 508, 285)(119, 507, 256, 246)(120, 210, 254,
268)(121, 284, 269, 462)(122, 441, 413, 214)(124, 306, 408, 205)(125, 410, 252,
390)(127, 491, 339, 372)(128, 379, 350, 343)(130, 158, 354, 136)(132, 499)(137,
163)(139, 378, 326, 201)(141, 490, 321, 196)(142, 155, 479, 152)(143, 199)(145,
375, 200, 313)(147, 360, 194, 340)(159, 496)(165, 358, 495, 500)(202, 458, 261,
412)(204, 398, 424, 249)(208, 450, 411, 265)(215, 391, 291, 247)(217, 459, 258,
409)(220, 417, 277, 440)(227, 267, 298, 388)(228, 233, 454, 422)(230, 407, 431,
434)(234, 253, 275, 436)(235, 406, 279, 290)(237, 455, 240, 426)(239, 435, 448,
419)(248, 461, 456, 283)(250, 271, 437, 447)(266, 294, 396, 433)(293, 512, 418,
423)(341, 363)(353, 356) (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, 3, 5, 4)(8, 9)(11, 12)(14, 15, 16, 17)(18, 19, 20, 21)(22, 24, 23,
25)(26, 27, 29, 28)(30, 33, 32, 31)(34, 37, 36, 35)(38, 39, 40, 41)(42, 44, 45,
43)(46, 47, 49, 48)(50, 52, 53, 51)(54, 56, 57, 55)(58, 59, 61, 60)(62, 64, 63,
65)(66, 68, 69, 67)(70, 73, 71, 72)(74, 75, 76, 77)(78, 80, 79, 81)(82, 85, 84,
83)(86, 87)(88, 90, 89, 91)(92, 93, 95, 94)(96, 97)(98, 99)(101, 104, 102,
103)(105, 107, 108, 106)(109, 112, 111, 110)(113, 115, 114, 116)(117, 119, 118,
120)(121, 122, 123, 124)(126, 127, 129, 128)(130, 131, 132, 133)(134, 136, 135,
137)(138, 139, 140, 141)(142, 143, 144, 145)(146, 147, 149, 148)(150, 152, 151,
153)(154, 157, 155, 156)(158, 161, 159, 160)(162, 163, 164, 165)(166, 167, 168,
169)(170, 172, 171, 173)(174, 176, 175, 177)(178, 180, 179, 181)(182, 185, 183,
184)(186, 187, 188, 189)(190, 193, 191, 192)(194, 195, 197, 196)(198, 200, 201,
199)(202, 204, 205, 203)(206, 207, 209, 208)(210, 212, 213, 211)(214, 215, 217,
216)(218, 220, 219, 221)(222, 223, 225, 224)(226, 227, 228, 229)(230, 231, 233,
232)(234, 237, 236, 235)(238, 240, 241, 239)(242, 245, 243, 244)(246, 247, 248,
249)(250, 251, 253, 252)(254, 256, 255, 257)(258, 259)(260, 261)(262, 264, 265,
263)(266, 269, 267, 268)(270, 273, 271, 272)(274, 276, 275, 277)(278, 281, 280,
279)(282, 285, 283, 284)(286, 289, 287, 288)(290, 291, 293, 292)(294, 297, 295,
296)(298, 301, 299, 300)(302, 304, 303, 305)(306, 307)(308, 311, 309, 310)(312,
314, 313, 315)(316, 319, 317, 318)(320, 321, 322, 323)(324, 326, 325, 327)(328,
329, 330, 331)(332, 335, 333, 334)(336, 338, 337, 339)(340, 342, 341, 343)(344,
345, 347, 346)(348, 349, 351, 350)(352, 354, 355, 353)(356, 357, 358, 359)(360,
361, 363, 362)(364, 366, 365, 367)(368, 371, 370, 369)(372, 373, 374, 375)(376,
379, 377, 378)(380, 382, 383, 381)(384, 385, 387, 386)(388, 390, 391, 389)(392,
395, 394, 393)(396, 399, 398, 397)(400, 402, 401, 403)(404, 407, 405, 406)(408,
411, 409, 410)(412, 415, 413, 414)(416, 418, 417, 419)(420, 422, 421, 423)(424,
426, 425, 427)(428, 430, 429, 431)(432, 434, 433, 435)(436, 439, 438, 437)(440,
441)(442, 443)(444, 445)(446, 448, 447, 449)(450, 451)(452, 455, 453, 454)(456,
459, 457, 458)(460, 462, 463, 461)(465, 468, 466, 467)(469, 471, 472, 470)(473,
475, 474, 476)(477, 479, 478, 480)(481, 484, 483, 482)(485, 487, 488, 486)(489,
490, 492, 491)(493, 496, 494, 495)(497, 500, 498, 499)(501, 504, 503, 502)(505,
508, 506, 507)(509, 511, 510, 512)
c: (1, 8)(2, 47)(3, 68)(4, 67)(5, 48)(6, 445)(7, 451)(9, 125)(10, 444)(11,
100)(12, 464)(13, 450)(14, 286)(15, 460)(16, 287)(17, 463)(18, 393)(19, 225)(20,
395)(21, 222)(22, 329)(23, 331)(24, 166)(25, 168)(26, 344)(27, 365)(28, 364)(29,
347)(30, 139)(31, 476)(32, 141)(33, 475)(34, 157)(35, 467)(36, 156)(37, 468)(38,
472)(39, 189)(40, 469)(41, 187)(42, 332)(43, 175)(44, 174)(45, 333)(46, 127)(49,
128)(50, 154)(51, 466)(52, 465)(53, 155)(54, 486)(55, 193)(56, 192)(57, 487)(58,
380)(59, 368)(60, 370)(61, 383)(62, 318)(63, 319)(64, 181)(65, 180)(66, 129)(69,
126)(70, 140)(71, 138)(72, 473)(73, 474)(74, 308)(75, 173)(76, 309)(77, 172)(78,
186)(79, 188)(80, 471)(81, 470)(82, 298)(83, 205)(84, 299)(85, 202)(86, 260)(87,
443)(88, 213)(89, 210)(90, 459)(91, 458)(92, 507)(93, 124)(94, 122)(95, 508)(96,
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419)(296, 405)(297, 404)(300, 452)(301, 453)(306, 442)(310, 478)(311, 477)(312,
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375)(358, 373)(388, 431)(391, 430)(392, 408)(394, 409)(396, 422)(398, 423)(402,
413)(403, 412)(424, 427)(425, 426)(432, 435)(433, 434)
d: (1, 6)(2, 79)(3, 81)(4, 80)(5, 78)(7, 464)(8, 445)(9, 444)(10, 125)(11,
450)(12, 451)(13, 100)(14, 286)(15, 289)(16, 287)(17, 288)(18, 400)(19, 402)(20,
401)(21, 403)(22, 308)(23, 309)(24, 311)(25, 310)(26, 380)(27, 382)(28, 381)(29,
383)(30, 154)(31, 156)(32, 155)(33, 157)(34, 475)(35, 473)(36, 476)(37, 474)(38,
129)(39, 128)(40, 126)(41, 127)(42, 319)(43, 316)(44, 317)(45, 318)(46, 187)(47,
188)(48, 186)(49, 189)(50, 139)(51, 138)(52, 140)(53, 141)(54, 482)(55, 483)(56,
481)(57, 484)(58, 344)(59, 345)(60, 346)(61, 347)(62, 333)(63, 332)(64, 334)(65,
335)(66, 472)(67, 471)(68, 470)(69, 469)(70, 465)(71, 466)(72, 467)(73, 468)(74,
329)(75, 330)(76, 331)(77, 328)(82, 298)(83, 300)(84, 299)(85, 301)(86, 307)(87,
306)(88, 507)(89, 508)(90, 505)(91, 506)(92, 213)(93, 211)(94, 212)(95, 210)(96,
97)(98, 441)(99, 440)(101, 395)(102, 393)(103, 392)(104, 394)(105, 504)(106,
501)(107, 503)(108, 502)(109, 510)(110, 511)(111, 509)(112, 512)(113, 233)(114,
230)(115, 232)(116, 231)(117, 265)(118, 262)(119, 263)(120, 264)(121, 271)(122,
272)(123, 270)(124, 273)(130, 313)(131, 315)(132, 312)(133, 314)(134, 343)(135,
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500)(148, 499)(149, 498)(150, 487)(151, 486)(152, 488)(153, 485)(158, 360)(159,
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378)(172, 377)(173, 376)(174, 386)(175, 385)(176, 384)(177, 387)(178, 490)(179,
491)(180, 492)(181, 489)(182, 327)(183, 326)(184, 325)(185, 324)(190, 322)(191,
320)(192, 321)(193, 323)(194, 358)(195, 359)(196, 357)(197, 356)(198, 494)(199,
496)(200, 495)(201, 493)(202, 453)(203, 455)(204, 454)(205, 452)(206, 430)(207,
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417)(336, 366)(337, 367)(338, 365)(339, 364)(348, 369)(349, 368)(350, 370)(351,
371)(352, 374)(353, 373)(354, 375)(355, 372)(442, 443)
e: (1, 14)(2, 58)(3, 30)(4, 50)(5, 26)(6, 286)(7, 120)(8, 287)(9, 462)(10,
461)(11, 504)(12, 119)(13, 502)(15, 438)(16, 445)(17, 437)(18, 210)(19, 244)(20,
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486)(32, 470)(33, 482)(34, 484)(35, 127)(36, 487)(37, 187)(38, 366)(39, 467)(40,
369)(41, 473)(42, 490)(43, 148)(44, 313)(45, 387)(46, 474)(47, 347)(48, 383)(49,
468)(51, 190)(52, 184)(53, 471)(54, 157)(55, 370)(56, 346)(57, 475)(59, 192)(60,
481)(61, 188)(62, 384)(63, 491)(64, 375)(65, 197)(66, 367)(67, 141)(68, 155)(69,
371)(70, 185)(71, 191)(72, 128)(73, 189)(74, 480)(75, 200)(76, 378)(77, 341)(78,
380)(79, 344)(80, 139)(81, 154)(82, 306)(83, 227)(84, 443)(85, 424)(86, 455)(87,
298)(88, 395)(89, 401)(90, 235)(91, 233)(92, 393)(93, 511)(94, 448)(95, 400)(96,
418)(97, 294)(98, 295)(99, 407)(100, 108)(101, 507)(102, 213)(103, 388)(104,
209)(105, 450)(106, 302)(107, 304)(109, 207)(110, 211)(111, 242)(112, 124)(113,
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477)(373, 489)(391, 408)(394, 431)(396, 412)(402, 423)(405, 433)(410, 457)(415,
456)(416, 432)(419, 441)(420, 509)(425, 453)(429, 510)
f: (1, 7)(2, 72, 5, 73)(3, 70, 4, 71)(6, 464)(8, 450)(9, 451)(10, 100)(11,
445)(12, 444)(13, 125)(14, 117, 16, 118)(15, 119, 17, 120)(18, 220, 20, 221)(19,
219, 21, 218)(22, 181, 23, 180)(24, 178, 25, 179)(26, 183, 29, 182)(27, 184, 28,
185)(30, 126, 32, 129)(31, 128, 33, 127)(34, 471, 36, 470)(35, 469, 37, 472)(38,
154, 40, 155)(39, 157, 41, 156)(42, 172, 45, 173)(43, 170, 44, 171)(46, 138, 49,
140)(47, 139, 48, 141)(50, 186, 53, 188)(51, 189, 52, 187)(54, 368, 57, 370)(55,
369, 56, 371)(58, 192, 61, 193)(59, 190, 60, 191)(62, 166, 63, 168)(64, 167, 65,
169)(66, 473, 69, 474)(67, 476, 68, 475)(74, 175, 76, 174)(75, 177, 77, 176)(78,
468, 79, 467)(80, 466, 81, 465)(82, 217, 84, 214)(83, 215, 85, 216)(86, 99)(87,
98)(88, 459, 89, 458)(90, 457, 91, 456)(92, 124, 95, 122)(93, 121, 94, 123)(96,
261)(97, 260)(101, 225, 102, 222)(103, 223, 104, 224)(105, 463, 108, 460)(106,
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484, 350, 482)(352, 360, 355, 363)(353, 362, 354, 361)(392, 415, 394, 414)(393,
412, 395, 413)(400, 409, 401, 408)(402, 410, 403, 411)
C4[ 512, 584 ]
512
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0