Graph forms
for C4 [ 512, 548 ] = SS[512,81]
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On this page are computer-accessible forms for the graph C4[ 512, 548 ] =
SS[512,81].
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {1, 3}, {17, 19}, {1, 2}, {500, 503}, {1, 5}, {498, 502}, {497,
501}, {33, 37}, {18, 22}, {1, 4}, {18, 23}, {235, 238}, {18, 20}, {34, 36}, {32,
38}, {18, 21}, {232, 239}, {17, 25}, {112, 120}, {48, 56}, {17, 24}, {50, 59},
{6, 12}, {52, 62}, {231, 237}, {17, 26}, {499, 504}, {54, 61}, {49, 58}, {6,
10}, {464, 476}, {53, 57}, {35, 47}, {6, 11}, {226, 239}, {224, 238}, {464,
478}, {6, 9}, {496, 511}, {51, 60}, {39, 55}, {494, 510}, {493, 509}, {492,
508}, {491, 507}, {490, 506}, {489, 505}, {487, 503}, {463, 479}, {74, 90}, {73,
89}, {45, 61}, {232, 248}, {233, 249}, {42, 59}, {457, 472}, {36, 54}, {484,
502}, {463, 477}, {70, 84}, {38, 52}, {225, 243}, {35, 48}, {41, 58}, {38, 53},
{227, 240}, {229, 246}, {230, 245}, {37, 49}, {481, 501}, {461, 473}, {456,
476}, {71, 83}, {69, 81}, {44, 56}, {230, 242}, {72, 93}, {483, 502}, {462,
475}, {229, 240}, {40, 62}, {68, 82}, {228, 242}, {234, 252}, {236, 250}, {36,
51}, {482, 501}, {461, 474}, {360, 383}, {104, 127}, {46, 57}, {43, 60}, {37,
50}, {47, 55}, {455, 479}, {454, 478}, {453, 477}, {108, 116}, {106, 114}, {96,
121}, {458, 467}, {451, 474}, {359, 382}, {110, 119}, {103, 126}, {99, 122},
{234, 243}, {102, 124}, {459, 465}, {111, 117}, {107, 113}, {105, 115}, {67,
88}, {460, 471}, {450, 473}, {358, 381}, {356, 383}, {109, 118}, {98, 121}, {71,
92}, {69, 94}, {67, 95}, {458, 470}, {97, 125}, {73, 85}, {231, 251}, {235,
247}, {70, 91}, {485, 504}, {457, 468}, {355, 382}, {74, 87}, {233, 244}, {236,
241}, {72, 86}, {486, 504}, {460, 466}, {459, 469}, {100, 123}, {488, 503},
{480, 511}, {452, 475}, {84, 116}, {478, 510}, {477, 509}, {476, 508}, {475,
507}, {474, 506}, {473, 505}, {349, 381}, {64, 97}, {449, 480}, {91, 122}, {64,
98}, {448, 482}, {93, 127}, {95, 124}, {448, 483}, {65, 101}, {90, 126}, {89,
125}, {81, 117}, {79, 107}, {76, 104}, {68, 96}, {66, 103}, {87, 114}, {83,
118}, {82, 119}, {79, 106}, {211, 246}, {66, 100}, {79, 105}, {209, 247}, {65,
102}, {472, 511}, {456, 495}, {92, 123}, {86, 113}, {210, 245}, {75, 99}, {470,
510}, {469, 509}, {468, 508}, {467, 507}, {466, 506}, {465, 505}, {449, 489},
{78, 102}, {77, 101}, {209, 249}, {78, 103}, {455, 494}, {453, 492}, {450, 491},
{211, 250}, {88, 115}, {454, 493}, {223, 244}, {212, 248}, {76, 97}, {85, 120},
{210, 252}, {462, 480}, {452, 490}, {75, 100}, {77, 98}, {208, 255}, {212, 251},
{222, 241}, {197, 245}, {221, 237}, {206, 255}, {200, 250}, {204, 254}, {197,
246}, {451, 496}, {201, 253}, {203, 254}, {200, 255}, {202, 253}, {27, 35}, {30,
38}, {197, 253}, {198, 254}, {29, 36}, {31, 37}, {198, 252}, {80, 108}, {80,
109}, {198, 251}, {80, 110}, {199, 249}, {28, 35}, {80, 111}, {79, 112}, {199,
248}, {200, 247}, {417, 481}, {430, 494}, {429, 493}, {428, 492}, {427, 491},
{426, 490}, {425, 489}, {423, 487}, {419, 482}, {421, 484}, {420, 486}, {422,
483}, {418, 488}, {424, 485}, {62, 112}, {19, 67}, {60, 108}, {59, 107}, {21,
69}, {20, 68}, {22, 71}, {25, 72}, {23, 70}, {24, 74}, {61, 111}, {26, 73},
{416, 499}, {58, 105}, {57, 106}, {30, 74}, {56, 109}, {31, 72}, {447, 488},
{63, 104}, {28, 68}, {446, 486}, {445, 485}, {388, 476}, {29, 69}, {55, 110},
{446, 487}, {447, 484}, {27, 71}, {445, 481}, {387, 479}, {63, 99}, {384, 477},
{385, 478}, {432, 495}, {431, 496}, {42, 75}, {441, 472}, {434, 467}, {33, 67},
{386, 480}, {44, 78}, {45, 78}, {436, 471}, {34, 70}, {437, 465}, {396, 488},
{41, 77}, {40, 77}, {439, 466}, {433, 468}, {46, 75}, {435, 469}, {43, 76},
{407, 496}, {393, 481}, {443, 467}, {442, 466}, {409, 497}, {399, 487}, {32,
73}, {411, 498}, {397, 484}, {414, 500}, {444, 470}, {39, 76}, {415, 500}, {410,
497}, {398, 482}, {443, 471}, {441, 469}, {395, 486}, {444, 465}, {412, 498},
{442, 468}, {440, 470}, {438, 472}, {413, 499}, {394, 485}, {391, 500}, {400,
483}, {389, 497}, {390, 498}, {408, 495}, {401, 489}, {406, 494}, {405, 493},
{404, 492}, {403, 491}, {402, 490}, {392, 499}, {22, 151}, {26, 155}, {23, 150},
{281, 411}, {296, 426}, {284, 414}, {285, 415}, {286, 412}, {25, 154}, {24,
156}, {20, 145}, {21, 144}, {19, 149}, {287, 409}, {256, 391}, {319, 440}, {282,
413}, {315, 434}, {24, 146}, {318, 436}, {316, 438}, {293, 431}, {292, 430},
{25, 147}, {289, 427}, {15, 132}, {314, 433}, {295, 428}, {13, 129}, {313, 437},
{21, 153}, {20, 152}, {14, 130}, {50, 191}, {26, 148}, {317, 435}, {302, 416},
{48, 190}, {290, 429}, {294, 425}, {13, 159}, {47, 189}, {30, 140}, {15, 157},
{13, 158}, {16, 131}, {291, 432}, {29, 136}, {31, 137}, {28, 139}, {92, 196},
{22, 143}, {351, 454}, {349, 452}, {34, 187}, {23, 142}, {33, 186}, {350, 453},
{32, 188}, {95, 195}, {27, 134}, {93, 192}, {19, 141}, {94, 193}, {305, 401},
{308, 404}, {52, 150}, {355, 449}, {311, 405}, {96, 194}, {266, 424}, {45, 142},
{353, 450}, {9, 173}, {383, 475}, {382, 474}, {381, 473}, {310, 402}, {307,
407}, {306, 406}, {10, 175}, {354, 455}, {34, 135}, {32, 133}, {49, 151}, {264,
430}, {9, 174}, {356, 451}, {42, 141}, {31, 184}, {30, 185}, {39, 143}, {352,
456}, {261, 428}, {48, 154}, {304, 410}, {50, 152}, {257, 427}, {267, 417},
{268, 422}, {269, 423}, {28, 183}, {312, 403}, {33, 138}, {29, 182}, {260, 431},
{271, 420}, {15, 163}, {53, 153}, {262, 426}, {265, 421}, {54, 155}, {309, 408},
{270, 419}, {14, 160}, {27, 181}, {263, 425}, {14, 161}, {51, 156}, {258, 429},
{274, 418}, {303, 415}, {300, 412}, {16, 162}, {297, 411}, {272, 418}, {275,
417}, {259, 432}, {276, 423}, {277, 422}, {16, 164}, {301, 409}, {273, 421},
{278, 419}, {299, 414}, {298, 413}, {10, 178}, {12, 180}, {11, 179}, {40, 146},
{47, 149}, {46, 148}, {41, 147}, {288, 410}, {11, 176}, {43, 144}, {283, 416},
{280, 420}, {12, 177}, {44, 145}, {279, 424}, {270, 462}, {366, 430}, {349,
413}, {10, 200}, {367, 429}, {354, 416}, {269, 462}, {374, 437}, {265, 461},
{372, 432}, {267, 463}, {350, 411}, {88, 158}, {375, 433}, {365, 427}, {351,
409}, {342, 400}, {328, 398}, {266, 461}, {336, 407}, {321, 393}, {103, 174},
{325, 399}, {377, 435}, {376, 434}, {326, 396}, {12, 199}, {380, 439}, {112,
187}, {96, 171}, {86, 157}, {84, 159}, {9, 197}, {327, 395}, {99, 175}, {11,
198}, {379, 438}, {373, 440}, {323, 397}, {378, 436}, {324, 394}, {98, 173},
{97, 177}, {100, 180}, {322, 400}, {111, 188}, {102, 178}, {344, 396}, {110,
186}, {101, 176}, {109, 184}, {108, 185}, {335, 408}, {329, 401}, {369, 425},
{338, 394}, {337, 393}, {340, 397}, {334, 404}, {368, 426}, {341, 399}, {104,
179}, {105, 181}, {351, 387}, {343, 395}, {107, 183}, {106, 182}, {268, 464},
{331, 406}, {370, 431}, {339, 398}, {94, 128}, {271, 464}, {371, 428}, {350,
385}, {333, 402}, {332, 403}, {330, 405}, {272, 463}, {41, 201}, {352, 384},
{346, 442}, {345, 441}, {298, 458}, {46, 206}, {367, 398}, {369, 400}, {297,
459}, {358, 388}, {302, 460}, {299, 457}, {303, 460}, {353, 386}, {40, 204},
{366, 394}, {365, 393}, {91, 191}, {90, 190}, {89, 189}, {43, 207}, {101, 128},
{300, 457}, {354, 388}, {359, 385}, {357, 387}, {42, 205}, {357, 386}, {348,
443}, {347, 444}, {301, 458}, {45, 202}, {360, 384}, {39, 203}, {49, 193}, {376,
392}, {375, 391}, {373, 389}, {53, 196}, {85, 164}, {83, 162}, {81, 163}, {378,
392}, {91, 169}, {82, 160}, {51, 192}, {374, 389}, {347, 424}, {95, 172}, {92,
168}, {364, 408}, {94, 170}, {54, 195}, {52, 194}, {87, 161}, {320, 439}, {361,
401}, {363, 403}, {362, 402}, {93, 167}, {345, 419}, {304, 459}, {380, 391},
{372, 399}, {368, 395}, {364, 407}, {356, 415}, {353, 410}, {348, 423}, {345,
418}, {44, 208}, {362, 406}, {90, 166}, {89, 165}, {347, 422}, {379, 390}, {361,
404}, {348, 417}, {346, 420}, {371, 397}, {370, 396}, {363, 405}, {352, 414},
{346, 421}, {377, 390}, {355, 412}, {118, 374}, {121, 379}, {123, 376}, {127,
380}, {125, 377}, {126, 378}, {114, 375}, {115, 379}, {113, 376}, {124, 374},
{119, 380}, {116, 377}, {122, 375}, {120, 373}, {117, 378}, {66, 359}, {64,
358}, {118, 336}, {126, 342}, {65, 360}, {124, 341}, {237, 452}, {239, 454},
{64, 362}, {125, 343}, {66, 361}, {122, 337}, {121, 338}, {238, 453}, {127,
339}, {65, 364}, {123, 340}, {241, 449}, {242, 451}, {243, 455}, {244, 450},
{120, 335}, {113, 329}, {114, 330}, {240, 456}, {117, 334}, {119, 332}, {115,
333}, {116, 331}, {243, 434}, {241, 435}, {242, 433}, {240, 439}, {56, 370},
{62, 372}, {59, 369}, {58, 368}, {244, 440}, {61, 371}, {8, 345}, {8, 346}, {60,
366}, {8, 347}, {8, 348}, {63, 363}, {57, 367}, {238, 438}, {237, 436}, {55,
365}, {63, 357}, {239, 437}, {7, 359}, {7, 358}, {7, 357}, {7, 360}, {245, 388},
{247, 386}, {255, 392}, {249, 385}, {251, 387}, {253, 389}, {254, 390}, {250,
384}, {163, 291}, {164, 292}, {161, 288}, {214, 340}, {215, 341}, {211, 336},
{219, 344}, {252, 383}, {157, 281}, {162, 294}, {158, 283}, {173, 296}, {159,
282}, {248, 381}, {161, 295}, {213, 338}, {160, 296}, {246, 382}, {174, 295},
{185, 304}, {221, 340}, {223, 341}, {216, 339}, {218, 337}, {220, 343}, {222,
338}, {175, 290}, {217, 342}, {172, 316}, {168, 313}, {184, 297}, {187, 298},
{179, 289}, {180, 294}, {83, 448}, {176, 291}, {188, 303}, {84, 448}, {170,
318}, {169, 317}, {186, 302}, {177, 292}, {178, 293}, {209, 329}, {212, 332},
{165, 319}, {182, 300}, {183, 301}, {209, 330}, {166, 314}, {167, 315}, {210,
335}, {211, 334}, {181, 299}, {210, 333}, {212, 331}, {176, 272}, {156, 318},
{174, 268}, {191, 284}, {152, 316}, {175, 267}, {189, 281}, {190, 283}, {231,
322}, {141, 299}, {155, 317}, {153, 319}, {143, 297}, {173, 266}, {230, 321},
{234, 323}, {236, 327}, {16, 444}, {151, 315}, {150, 314}, {149, 313}, {229,
328}, {232, 325}, {233, 326}, {235, 324}, {133, 309}, {181, 260}, {165, 279},
{227, 337}, {139, 312}, {171, 280}, {182, 261}, {187, 264}, {13, 441}, {167,
275}, {139, 319}, {138, 318}, {137, 317}, {136, 316}, {15, 443}, {14, 442},
{134, 307}, {140, 313}, {135, 306}, {183, 257}, {166, 273}, {224, 343}, {225,
342}, {228, 339}, {137, 305}, {164, 285}, {191, 261}, {226, 344}, {140, 311},
{158, 293}, {185, 258}, {134, 314}, {157, 289}, {138, 310}, {136, 308}, {135,
315}, {186, 262}, {159, 290}, {180, 265}, {179, 270}, {168, 277}, {163, 286},
{190, 259}, {142, 304}, {177, 271}, {172, 274}, {170, 276}, {162, 284}, {148,
298}, {147, 301}, {146, 300}, {144, 303}, {178, 269}, {169, 278}, {160, 287},
{145, 302}, {184, 263}, {188, 259}, {189, 258}, {132, 324}, {129, 323}, {131,
321}, {208, 274}, {129, 322}, {132, 327}, {223, 284}, {227, 288}, {130, 326},
{195, 263}, {214, 274}, {221, 281}, {133, 320}, {166, 355}, {196, 257}, {222,
283}, {142, 328}, {192, 262}, {194, 260}, {213, 275}, {130, 325}, {199, 256},
{215, 272}, {152, 336}, {169, 353}, {220, 276}, {171, 354}, {193, 264}, {219,
273}, {131, 328}, {141, 326}, {172, 352}, {143, 322}, {205, 256}, {216, 277},
{218, 279}, {170, 356}, {207, 256}, {215, 280}, {217, 278}, {148, 324}, {217,
265}, {225, 305}, {146, 323}, {155, 330}, {201, 280}, {226, 307}, {147, 321},
{153, 331}, {156, 335}, {216, 267}, {228, 311}, {218, 270}, {144, 325}, {145,
327}, {219, 269}, {220, 266}, {224, 310}, {154, 333}, {128, 344}, {150, 334},
{203, 275}, {204, 276}, {205, 277}, {206, 278}, {207, 279}, {154, 320}, {213,
271}, {214, 268}, {151, 332}, {202, 273}, {227, 312}, {149, 329}, {194, 286},
{192, 285}, {193, 287}, {196, 282}, {229, 261}, {230, 262}, {232, 264}, {195,
288}, {208, 310}, {231, 257}, {88, 447}, {137, 366}, {85, 445}, {133, 365}, {87,
447}, {236, 260}, {130, 363}, {134, 367}, {221, 308}, {234, 259}, {235, 258},
{223, 309}, {86, 445}, {171, 320}, {129, 362}, {82, 446}, {222, 306}, {132,
361}, {233, 263}, {81, 446}, {131, 364}, {215, 295}, {4, 501}, {201, 312}, {5,
503}, {219, 296}, {2, 502}, {214, 290}, {128, 373}, {135, 369}, {168, 350},
{213, 291}, {136, 368}, {167, 351}, {165, 349}, {204, 308}, {3, 506}, {138,
371}, {4, 509}, {5, 511}, {203, 305}, {207, 309}, {224, 282}, {2, 505}, {3,
504}, {228, 287}, {206, 306}, {216, 292}, {217, 293}, {218, 294}, {3, 510},
{202, 311}, {220, 289}, {2, 508}, {140, 370}, {205, 307}, {4, 507}, {139, 372},
{225, 286}, {226, 285}, {5, 512}, {471, 512}, {479, 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, 55, 200, 62)(2, 110, 10, 112)(3, 39, 255, 40)(4, 47, 250, 372)(5, 365,
247, 52)(6, 187, 502, 186)(7, 153, 441, 154)(8, 72, 66, 69)(9, 264, 483, 33)(11,
298, 498, 302)(12, 34, 484, 262)(13, 333, 358, 331)(14, 339, 42, 261)(16, 263,
45, 344)(17, 382, 144, 419)(18, 418, 147, 385)(19, 246, 325, 482)(20, 272, 301,
350)(21, 345, 25, 359)(22, 274, 41, 478)(23, 488, 321, 249)(24, 474, 43,
278)(26, 355, 303, 270)(27, 352, 312, 493)(28, 477)(29, 346, 93, 100)(30, 496,
309, 353)(31, 103, 94, 347)(32, 480)(35, 384, 139, 509)(36, 421, 192, 180)(37,
174, 193, 422)(38, 511, 133, 386)(44, 101, 470, 297)(46, 300, 466, 104)(48, 360,
319, 469)(49, 268)(50, 295, 287, 277)(51, 265)(53, 472, 320, 357)(54, 273, 285,
294)(56, 65, 440, 459)(57, 457, 439, 63)(58, 464, 151, 214)(59, 428, 160,
216)(60, 217, 156, 461)(61, 219, 164, 425)(64, 406, 129, 402)(67, 197, 232,
448)(68, 463, 183, 453)(70, 447, 230, 199)(71, 172, 201, 454)(73, 449, 188,
462)(74, 451, 207, 169)(75, 182, 442, 127)(76, 206, 146, 506)(77, 510, 143,
208)(78, 128, 444, 184)(79, 508, 119, 175)(80, 178, 120, 505)(81, 348, 86,
361)(82, 267, 107, 492)(83, 95, 253, 239)(84, 88, 245, 248)(85, 489, 111,
269)(87, 242, 256, 91)(89, 241, 259, 475)(90, 356, 279, 317)(92, 316, 280,
351)(96, 479, 257, 238)(97, 306, 323, 490)(98, 494, 322, 310)(99, 106, 468,
380)(102, 373, 465, 109)(105, 476, 332, 290)(108, 293, 335, 473)(113, 404, 446,
417)(114, 433, 391, 122)(115, 388, 212, 159)(116, 158, 210, 381)(117, 423, 445,
401)(118, 124, 389, 437)(121, 455, 231, 224)(123, 136, 420, 167)(125, 222, 234,
452)(126, 170, 424, 137)(130, 398, 141, 229)(131, 233, 142, 396)(132, 163, 443,
157)(134, 414, 227, 405)(135, 397, 426, 177)(138, 173, 430, 400)(140, 407, 223,
410)(145, 176, 458, 411)(148, 412, 460, 179)(149, 211, 399, 501)(150, 503, 393,
209)(152, 215, 409, 168)(155, 166, 415, 218)(161, 228, 205, 191)(162, 195, 202,
226)(165, 435, 190, 383)(171, 387, 196, 438)(181, 456, 403, 429)(185, 431, 408,
450)(189, 236, 432, 507)(194, 512, 427, 235)(198, 413, 390, 416)(203, 392, 204,
504)(213, 434, 221, 395)(220, 394, 225, 436)(237, 343, 338, 243)(240, 363, 367,
299)(244, 304, 370, 364)(251, 282, 379, 354)(252, 349, 377, 283)(254, 499)(258,
260, 495, 491)(266, 366, 342, 318)(271, 315, 340, 368)(275, 376, 308, 486)(276,
485, 305, 378)(281, 327, 291, 467)(284, 288, 311, 307)(286, 471, 289, 324)(292,
369, 371, 296)(313, 336, 341, 497)(314, 500, 337, 330)(326, 328)(329, 334, 487,
481) (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: (1, 6)(2, 10)(3, 11)(4, 9)(5, 12)(7, 8)(13, 361)(14, 363)(15, 362)(16,
364)(20, 22)(24, 26)(27, 50)(28, 49)(29, 53)(30, 54)(31, 48)(32, 51)(33, 47)(34,
52)(35, 37)(36, 38)(39, 302)(40, 298)(41, 301)(42, 299)(43, 303)(44, 297)(45,
304)(46, 300)(55, 186)(56, 184)(57, 182)(58, 183)(59, 181)(60, 188)(61, 185)(62,
187)(63, 442)(64, 443)(65, 444)(66, 441)(67, 149)(68, 151)(69, 153)(70, 150)(71,
152)(72, 154)(73, 156)(74, 155)(75, 457)(76, 460)(77, 458)(78, 459)(81, 331)(82,
332)(83, 336)(84, 334)(85, 335)(86, 333)(87, 330)(88, 329)(89, 318)(90, 317)(91,
314)(92, 316)(93, 320)(94, 319)(95, 313)(96, 315)(97, 471)(98, 467)(99,
468)(100, 472)(101, 470)(102, 465)(103, 469)(104, 466)(105, 107)(108, 111)(113,
115)(116, 117)(121, 434)(122, 433)(123, 438)(124, 437)(125, 436)(126, 435)(127,
439)(128, 440)(129, 132)(133, 192)(134, 191)(135, 194)(136, 196)(137, 190)(138,
189)(139, 193)(140, 195)(143, 145)(146, 148)(157, 402)(158, 401)(159, 404)(160,
403)(161, 405)(162, 407)(163, 406)(164, 408)(165, 170)(166, 169)(167, 171)(168,
172)(173, 507)(174, 509)(175, 508)(176, 510)(177, 512)(178, 505)(179, 506)(180,
511)(197, 501)(198, 504)(199, 503)(200, 502)(201, 409)(202, 410)(203, 416)(204,
413)(205, 414)(206, 412)(207, 415)(208, 411)(209, 447)(210, 445)(211, 448)(212,
446)(213, 455)(214, 453)(215, 454)(216, 456)(217, 449)(218, 451)(219, 450)(220,
452)(221, 224)(222, 225)(223, 226)(227, 228)(229, 398)(230, 393)(231, 395)(232,
399)(233, 396)(234, 394)(235, 397)(236, 400)(237, 343)(238, 340)(239, 341)(240,
339)(241, 342)(242, 337)(243, 338)(244, 344)(245, 481)(246, 482)(247, 484)(248,
487)(249, 488)(250, 483)(251, 486)(252, 485)(253, 497)(254, 499)(255, 498)(256,
500)(257, 368)(258, 371)(259, 366)(260, 369)(261, 367)(262, 365)(263, 370)(264,
372)(265, 480)(266, 475)(267, 476)(268, 477)(269, 473)(270, 474)(271, 479)(272,
478)(273, 353)(274, 350)(275, 354)(276, 349)(277, 352)(278, 355)(279, 356)(280,
351)(281, 310)(282, 308)(283, 305)(284, 307)(285, 309)(286, 306)(287, 312)(288,
311)(289, 490)(290, 492)(291, 494)(292, 495)(293, 489)(294, 496)(295, 493)(296,
491)(322, 327)(323, 324)(345, 359)(346, 357)(347, 360)(348, 358)(376, 379)(377,
378)(381, 423)(382, 419)(383, 424)(384, 422)(385, 418)(386, 421)(387, 420)(388,
417)(390, 392)(425, 431)(426, 427)(428, 429)(430, 432)(461, 462)(463, 464)
c: (1, 35, 6, 36)(2, 27, 10, 54)(3, 28, 11, 51)(4, 47, 12, 34)(5, 48, 9, 29)(7,
37, 8, 38)(13, 311, 361, 284)(14, 286, 364, 310)(15, 309, 362, 287)(16, 282,
363, 305)(17, 461, 18, 463)(19, 265, 23, 477)(20, 272, 24, 474)(21, 479, 25,
266)(22, 267, 26, 473)(30, 359, 50, 345)(31, 347, 53, 357)(32, 358, 49, 348)(33,
346, 52, 360)(39, 292, 298, 491)(40, 356, 302, 280)(41, 276, 303, 354)(42, 278,
304, 350)(43, 494, 301, 289)(44, 295, 300, 496)(45, 492, 299, 293)(46, 353, 297,
277)(55, 177, 187, 507)(56, 174, 182, 511)(57, 386, 184, 422)(58, 423, 188,
388)(59, 419, 185, 385)(60, 510, 183, 179)(61, 508, 181, 178)(62, 383, 186,
420)(63, 137, 444, 196)(64, 193, 443, 133)(65, 138, 442, 194)(66, 191, 441,
140)(67, 421, 150, 384)(68, 176, 156, 506)(69, 512, 154, 173)(70, 509, 149,
180)(71, 175, 155, 505)(72, 424, 153, 387)(73, 381, 151, 417)(74, 382, 152,
418)(75, 169, 459, 168)(76, 430, 458, 427)(77, 170, 460, 171)(78, 428, 457,
431)(79, 462, 80, 464)(81, 495, 333, 296)(82, 291, 335, 490)(83, 290, 330,
489)(84, 493, 329, 294)(85, 349, 332, 275)(86, 279, 331, 351)(87, 355, 336,
274)(88, 273, 334, 352)(89, 248, 315, 481)(90, 246, 316, 488)(91, 469, 313,
100)(92, 99, 317, 465)(93, 485, 319, 251)(94, 471, 320, 98)(95, 484, 314,
250)(96, 101, 318, 466)(97, 264, 467, 365)(102, 371, 468, 260)(103, 261, 472,
370)(104, 366, 470, 257)(105, 269, 111, 476)(106, 480, 109, 268)(107, 270, 108,
478)(110, 271, 112, 475)(113, 218, 116, 454)(114, 449, 118, 214)(115, 219, 117,
456)(119, 213, 120, 452)(121, 128, 436, 439)(122, 435, 437, 123)(124, 397, 433,
236)(125, 232, 434, 393)(126, 229, 438, 396)(127, 394, 440, 231)(129, 228, 132,
223)(130, 225, 131, 224)(134, 200, 195, 502)(135, 501, 189, 199)(136, 503, 190,
197)(139, 198, 192, 504)(141, 217, 142, 453)(143, 216, 148, 450)(144, 455, 147,
220)(145, 215, 146, 451)(157, 207, 406, 409)(158, 202, 404, 414)(159, 405, 401,
162)(160, 163, 408, 402)(161, 412, 407, 208)(164, 413, 403, 203)(165, 212, 167,
445)(166, 211, 172, 447)(201, 204, 415, 416)(205, 206, 410, 411)(209, 425, 448,
429)(210, 426, 446, 432)(221, 391, 222, 389)(226, 392, 227, 390)(230, 395, 399,
234)(233, 400, 398, 235)(237, 380, 338, 373)(238, 326, 342, 328)(239, 376, 337,
377)(240, 379, 344, 378)(241, 374, 340, 375)(242, 327, 341, 323)(243, 321, 343,
325)(244, 322, 339, 324)(245, 368, 487, 259)(247, 263, 483, 367)(249, 369, 482,
258)(252, 262, 486, 372)(253, 308, 500, 283)(254, 285, 499, 312)(255, 288, 498,
307)(256, 306, 497, 281)
d: (2, 5, 3, 4)(9, 11, 12, 10)(13, 14, 15, 16)(17, 18)(19, 20, 25, 22)(21, 26,
23, 24)(27, 33, 28, 31)(29, 32, 34, 30)(35, 37)(36, 38)(39, 42, 44, 41)(40, 43,
46, 45)(47, 50, 48, 49)(51, 53, 54, 52)(55, 59, 56, 58)(57, 61, 62, 60)(63, 66,
65, 64)(67, 68, 72, 71)(69, 73, 70, 74)(75, 78, 77, 76)(79, 80)(81, 85, 84,
87)(82, 86, 83, 88)(89, 91, 90, 94)(92, 95, 96, 93)(97, 99, 103, 101)(98, 104,
100, 102)(105, 110, 107, 109)(106, 111, 112, 108)(113, 118, 115, 119)(114, 117,
120, 116)(121, 127, 123, 124)(122, 126, 128, 125)(129, 130, 132, 131)(133, 135,
140, 136)(134, 138, 139, 137)(141, 145, 147, 143)(142, 146, 144, 148)(149, 152,
154, 151)(150, 156, 153, 155)(157, 162, 158, 160)(159, 161, 163, 164)(165, 169,
166, 170)(167, 168, 172, 171)(173, 179, 180, 178)(174, 176, 177, 175)(181, 186,
183, 184)(182, 188, 187, 185)(189, 191, 190, 193)(192, 196, 195, 194)(197, 198,
199, 200)(201, 203, 205, 208)(202, 204, 207, 206)(209, 211, 210, 212)(213, 216,
214, 215)(217, 219, 220, 218)(221, 223, 222, 228)(224, 227, 225, 226)(229, 234,
232, 235)(230, 231, 233, 236)(237, 244, 241, 242)(238, 240, 243, 239)(245, 251,
249, 250)(246, 252, 248, 247)(253, 254, 256, 255)(257, 263, 260, 262)(258, 261,
259, 264)(265, 269, 266, 270)(267, 268, 272, 271)(273, 276, 279, 278)(274, 280,
275, 277)(281, 284, 283, 287)(282, 288, 286, 285)(289, 294, 293, 296)(290, 295,
291, 292)(297, 299, 302, 301)(298, 304, 300, 303)(305, 307, 310, 312)(306, 311,
308, 309)(313, 316, 320, 315)(314, 318, 319, 317)(321, 322, 326, 327)(323, 325,
324, 328)(329, 336, 333, 332)(330, 334, 335, 331)(337, 342, 344, 343)(338, 339,
340, 341)(345, 346, 348, 347)(349, 353, 355, 356)(350, 352, 354, 351)(357, 359,
360, 358)(361, 364, 362, 363)(365, 369, 370, 368)(366, 367, 371, 372)(373, 377,
375, 378)(374, 379, 380, 376)(381, 386, 382, 383)(384, 388, 387, 385)(389, 390,
391, 392)(393, 400, 396, 395)(394, 398, 397, 399)(401, 407, 402, 403)(404, 408,
406, 405)(409, 411, 414, 416)(410, 412, 415, 413)(417, 422, 418, 420)(419, 421,
423, 424)(425, 431, 426, 427)(428, 432, 430, 429)(433, 436, 440, 435)(434, 437,
438, 439)(441, 442, 443, 444)(445, 448, 447, 446)(449, 451, 452, 450)(453, 456,
455, 454)(457, 460, 458, 459)(461, 462)(463, 464)(465, 472, 466, 467)(468, 471,
470, 469)(473, 480, 474, 475)(476, 479, 478, 477)(481, 483, 488, 486)(482, 484,
487, 485)(489, 496, 490, 491)(492, 495, 494, 493)(497, 498, 500, 499)(501, 502,
503, 504)(505, 511, 506, 507)(508, 512, 510, 509)
e: (1, 17)(2, 19)(3, 25)(4, 26)(5, 24)(6, 18)(7, 80)(8, 79)(9, 20)(10, 23)(11,
21)(12, 22)(13, 375)(14, 379)(15, 373)(16, 376)(27, 265)(28, 266)(29, 272)(30,
480)(31, 478)(32, 475)(33, 476)(34, 267)(35, 461)(36, 463)(37, 464)(38, 462)(39,
248)(40, 487)(41, 486)(42, 483)(43, 251)(44, 246)(45, 250)(46, 482)(47, 473)(48,
474)(49, 271)(50, 268)(51, 479)(52, 269)(53, 270)(54, 477)(55, 381)(56, 382)(57,
419)(58, 420)(59, 422)(60, 387)(61, 384)(62, 423)(63, 116)(64, 119)(65, 117)(66,
118)(67, 508)(68, 173)(69, 176)(70, 175)(71, 180)(72, 510)(73, 507)(74, 511)(75,
448)(76, 212)(77, 446)(78, 211)(81, 101)(82, 98)(83, 100)(84, 99)(85, 467)(86,
470)(87, 472)(88, 468)(89, 491)(90, 496)(91, 290)(92, 294)(93, 494)(94, 291)(95,
492)(96, 296)(97, 332)(102, 334)(103, 336)(104, 331)(105, 346)(106, 345)(107,
347)(108, 357)(109, 359)(110, 358)(111, 360)(112, 348)(113, 444)(114, 441)(115,
442)(120, 443)(121, 160)(122, 159)(123, 162)(124, 404)(125, 403)(126, 407)(127,
406)(128, 163)(129, 391)(130, 390)(131, 392)(132, 389)(133, 452)(134, 217)(135,
216)(136, 215)(137, 454)(138, 456)(139, 220)(140, 449)(141, 502)(142, 200)(143,
199)(144, 198)(145, 197)(146, 503)(147, 504)(148, 501)(149, 505)(150, 178)(151,
177)(152, 174)(153, 179)(154, 506)(155, 509)(156, 512)(157, 440)(158, 433)(161,
438)(164, 434)(165, 427)(166, 431)(167, 430)(168, 425)(169, 429)(170, 432)(171,
426)(172, 428)(181, 421)(182, 418)(183, 424)(184, 385)(185, 386)(186, 388)(187,
417)(188, 383)(189, 450)(190, 451)(191, 214)(192, 455)(193, 213)(194, 219)(195,
453)(196, 218)(201, 395)(202, 236)(203, 232)(204, 399)(205, 400)(206, 398)(207,
231)(208, 229)(209, 459)(210, 460)(221, 223)(222, 228)(224, 227)(225, 226)(230,
416)(233, 411)(234, 415)(235, 410)(237, 309)(238, 288)(239, 305)(240, 310)(241,
311)(242, 283)(243, 285)(244, 281)(245, 302)(247, 304)(249, 297)(252, 303)(253,
327)(254, 325)(255, 328)(256, 322)(257, 279)(258, 353)(259, 356)(260, 273)(261,
274)(262, 354)(263, 350)(264, 275)(276, 372)(277, 369)(278, 367)(280, 368)(282,
337)(284, 340)(286, 344)(287, 338)(289, 319)(292, 315)(293, 314)(295, 316)(298,
481)(299, 484)(300, 488)(301, 485)(306, 339)(307, 342)(308, 341)(312, 343)(313,
489)(317, 493)(318, 495)(320, 490)(321, 499)(323, 500)(324, 497)(326, 498)(329,
465)(330, 469)(333, 466)(335, 471)(349, 365)(351, 366)(352, 371)(355, 370)(361,
374)(362, 380)(363, 377)(364, 378)(393, 413)(394, 409)(396, 412)(397, 414)(401,
437)(402, 439)(405, 435)(408, 436)(445, 458)(447, 457)
f: (1, 7)(2, 360, 3, 357)(4, 359, 5, 358)(6, 8)(9, 348, 12, 345)(10, 346, 11,
347)(13, 253, 15, 256)(14, 254, 16, 255)(17, 79)(18, 80)(19, 105, 25, 107)(20,
110, 22, 109)(21, 108, 23, 111)(24, 112, 26, 106)(27, 48, 28, 47)(29, 51, 34,
54)(30, 52, 32, 53)(31, 50, 33, 49)(39, 83, 44, 82)(40, 85, 46, 87)(41, 86, 42,
88)(43, 84, 45, 81)(55, 71, 56, 68)(57, 74, 62, 73)(58, 72, 59, 67)(60, 70, 61,
69)(63, 502, 65, 504)(64, 501, 66, 503)(75, 447, 77, 445)(76, 448, 78, 446)(89,
367, 90, 372)(91, 371, 94, 366)(92, 370, 96, 365)(93, 369, 95, 368)(97, 482,
103, 487)(98, 481, 100, 488)(99, 484, 101, 485)(102, 486, 104, 483)(113, 141,
115, 147)(114, 146, 120, 148)(116, 142, 117, 144)(118, 145, 119, 143)(121, 393,
123, 396)(122, 397, 128, 394)(124, 395, 127, 400)(125, 398, 126, 399)(129, 389,
132, 391)(130, 390, 131, 392)(133, 196, 140, 194)(134, 190, 139, 189)(135, 195,
136, 192)(137, 191, 138, 193)(149, 181, 154, 183)(150, 188, 153, 185)(151, 184,
152, 186)(155, 182, 156, 187)(157, 205, 158, 201)(159, 202, 163, 207)(160, 203,
162, 208)(161, 204, 164, 206)(165, 429, 166, 432)(167, 425, 172, 426)(168, 431,
171, 427)(169, 428, 170, 430)(173, 417, 180, 418)(174, 423, 177, 419)(175, 421,
176, 424)(178, 420, 179, 422)(197, 443, 199, 441)(198, 444, 200, 442)(209, 457,
210, 458)(211, 460, 212, 459)(213, 218, 214, 219)(215, 220, 216, 217)(221, 226,
222, 227)(223, 224, 228, 225)(229, 436, 232, 435)(230, 434, 233, 438)(231, 437,
236, 439)(234, 440, 235, 433)(237, 239, 241, 240)(238, 242, 243, 244)(245, 467,
249, 472)(246, 471, 248, 469)(247, 468, 252, 470)(250, 466, 251, 465)(257, 313,
260, 320)(258, 314, 259, 319)(261, 318, 264, 317)(262, 315, 263, 316)(265, 272,
266, 267)(268, 269, 271, 270)(273, 291, 279, 290)(274, 296, 275, 294)(276, 292,
278, 295)(277, 293, 280, 289)(281, 307, 283, 312)(282, 311, 286, 309)(284, 310,
287, 305)(285, 306, 288, 308)(297, 336, 302, 332)(298, 330, 300, 335)(299, 333,
301, 329)(303, 331, 304, 334)(321, 376, 326, 379)(322, 374, 327, 380)(323, 373,
324, 375)(325, 377, 328, 378)(337, 340, 344, 338)(339, 342, 341, 343)(349, 493,
355, 495)(350, 496, 354, 491)(351, 489, 352, 490)(353, 492, 356, 494)(361, 500,
362, 497)(363, 498, 364, 499)(381, 509, 382, 512)(383, 510, 386, 508)(384, 506,
387, 505)(385, 511, 388, 507)(401, 414, 402, 409)(403, 411, 407, 416)(404, 415,
406, 410)(405, 412, 408, 413)(449, 456, 452, 454)(450, 453, 451, 455)(461,
463)(462, 464)(473, 477, 474, 479)(475, 478, 480, 476)
g: (2, 3)(10, 11)(13, 15)(17, 18)(19, 21)(20, 24)(22, 26)(23, 25)(27, 32)(28,
30)(29, 33)(31, 34)(35, 38)(36, 37)(39, 46)(40, 44)(41, 45)(42, 43)(47, 53)(48,
52)(49, 54)(50, 51)(55, 57)(56, 62)(58, 61)(59, 60)(64, 66)(67, 69)(68, 74)(70,
72)(71, 73)(75, 76)(77, 78)(79, 80)(81, 88)(82, 87)(83, 85)(84, 86)(89, 92)(90,
96)(91, 93)(94, 95)(97, 100)(98, 103)(99, 104)(101, 102)(105, 111)(106,
110)(107, 108)(109, 112)(113, 116)(114, 119)(115, 117)(118, 120)(121, 126)(122,
127)(123, 125)(124, 128)(129, 132)(133, 134)(135, 137)(136, 138)(139, 140)(141,
144)(142, 147)(143, 148)(145, 146)(149, 153)(150, 154)(151, 155)(152, 156)(157,
159)(158, 163)(160, 161)(162, 164)(165, 168)(166, 171)(167, 169)(170, 172)(173,
174)(175, 179)(176, 178)(177, 180)(181, 188)(182, 186)(183, 185)(184, 187)(189,
196)(190, 194)(191, 192)(193, 195)(198, 200)(201, 202)(203, 206)(204, 208)(205,
207)(209, 212)(210, 211)(213, 217)(214, 220)(215, 219)(216, 218)(221, 224)(222,
225)(223, 226)(227, 228)(229, 230)(231, 235)(232, 233)(234, 236)(237, 238)(239,
244)(240, 242)(241, 243)(245, 246)(247, 251)(248, 249)(250, 252)(254, 255)(257,
258)(259, 260)(261, 262)(263, 264)(265, 271)(266, 268)(267, 270)(269, 272)(273,
280)(274, 276)(275, 278)(277, 279)(281, 282)(283, 286)(284, 285)(287, 288)(289,
290)(291, 293)(292, 294)(295, 296)(297, 298)(299, 303)(300, 302)(301, 304)(305,
306)(307, 309)(308, 310)(311, 312)(313, 319)(314, 320)(315, 317)(316, 318)(321,
328)(322, 324)(323, 327)(325, 326)(329, 331)(330, 332)(333, 334)(335, 336)(337,
339)(338, 342)(340, 343)(341, 344)(345, 348)(349, 350)(351, 353)(352, 356)(354,
355)(358, 359)(361, 362)(365, 367)(366, 369)(368, 371)(370, 372)(373, 374)(375,
380)(376, 377)(378, 379)(381, 385)(382, 388)(383, 384)(386, 387)(390, 392)(393,
398)(394, 400)(395, 397)(396, 399)(401, 406)(402, 404)(403, 405)(407, 408)(409,
410)(411, 413)(412, 416)(414, 415)(417, 419)(418, 423)(420, 421)(422, 424)(425,
430)(426, 428)(427, 429)(431, 432)(433, 439)(434, 435)(436, 438)(437, 440)(441,
443)(445, 448)(446, 447)(449, 455)(450, 454)(451, 456)(452, 453)(457, 460)(458,
459)(461, 464)(462, 463)(465, 470)(466, 468)(467, 469)(471, 472)(473, 478)(474,
476)(475, 477)(479, 480)(481, 482)(483, 485)(484, 486)(487, 488)(489, 494)(490,
492)(491, 493)(495, 496)(498, 499)(502, 504)(505, 510)(506, 508)(507, 509)(511,
512)
C4[ 512, 548 ]
512
-1 2 3 4 5
-2 1 508 502 505
-3 506 1 510 504
-4 1 507 509 501
-5 1 511 512 503
-6 11 12 9 10
-7 357 358 359 360
-8 345 346 347 348
-9 6 173 174 197
-10 178 200 6 175
-11 176 198 179 6
-12 177 199 180 6
-13 441 158 159 129
-14 442 160 161 130
-15 132 157 443 163
-16 444 162 131 164
-17 24 25 26 19
-18 22 23 20 21
-19 67 17 149 141
-20 68 145 18 152
-21 144 69 18 153
-22 143 71 18 151
-23 70 18 150 142
-24 156 146 17 74
-25 154 147 17 72
-26 155 148 17 73
-27 35 134 71 181
-28 35 68 139 183
-29 36 69 136 182
-30 38 74 140 185
-31 37 137 72 184
-32 133 188 38 73
-33 67 37 138 186
-34 187 36 135 70
-35 47 48 27 28
-36 34 29 51 54
-37 33 49 50 31
-38 30 52 53 32
-39 55 143 203 76
-40 77 146 204 62
-41 77 58 201 147
-42 59 205 75 141
-43 144 60 207 76
-44 56 78 145 208
-45 78 202 61 142
-46 57 148 206 75
-47 55 35 189 149
-48 154 56 35 190
-49 58 37 193 151
-50 37 59 191 152
-51 156 36 60 192
-52 38 62 150 194
-53 57 38 196 153
-54 155 36 61 195
-55 110 365 47 39
-56 44 48 370 109
-57 46 367 106 53
-58 49 368 105 41
-59 50 369 107 42
-60 366 51 108 43
-61 45 111 371 54
-62 112 40 52 372
-63 99 363 104 357
-64 358 97 98 362
-65 364 101 102 360
-66 100 103 359 361
-67 33 88 95 19
-68 82 28 96 20
-69 81 94 29 21
-70 23 34 91 84
-71 22 92 27 83
-72 25 93 31 86
-73 89 26 85 32
-74 24 90 30 87
-75 99 100 46 42
-76 104 39 97 43
-77 101 40 41 98
-78 44 45 102 103
-79 112 105 106 107
-80 110 111 108 109
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-82 68 160 446 119
-83 71 118 162 448
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-87 114 161 447 74
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-92 123 168 71 196
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-96 121 68 171 194
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-102 78 178 124 65
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-106 57 79 114 182
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-109 56 80 118 184
-110 55 80 119 186
-111 188 80 61 117
-112 187 79 62 120
-113 376 107 86 329
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-116 331 377 84 108
-117 111 81 334 378
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-201 253 312 280 41
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-221 308 237 281 340
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-228 242 287 311 339
-229 246 261 240 328
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-233 244 249 326 263
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-250 200 211 236 384
-251 198 231 387 212
-252 198 210 234 383
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-315 167 135 434 151
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-317 155 169 137 435
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-320 154 133 171 439
-321 147 393 131 230
-322 143 231 400 129
-323 397 146 234 129
-324 132 235 148 394
-325 144 232 399 130
-326 396 233 130 141
-327 132 145 236 395
-328 398 229 131 142
-329 209 113 401 149
-330 209 155 114 405
-331 212 116 153 406
-332 212 403 151 119
-333 154 210 115 402
-334 211 117 150 404
-335 210 408 156 120
-336 407 211 118 152
-337 122 227 393 218
-338 121 222 213 394
-339 398 127 216 228
-340 221 397 123 214
-341 124 223 399 215
-342 400 126 225 217
-343 220 125 224 395
-344 396 226 128 219
-345 418 419 441 8
-346 420 442 421 8
-347 422 444 424 8
-348 443 423 8 417
-349 165 452 413 381
-350 385 453 168 411
-351 167 387 409 454
-352 456 172 414 384
-353 386 410 169 450
-354 388 455 171 416
-355 166 412 382 449
-356 451 170 415 383
-357 386 387 7 63
-358 388 7 381 64
-359 66 385 7 382
-360 7 383 65 384
-361 66 132 401 404
-362 402 129 64 406
-363 403 63 130 405
-364 407 408 65 131
-365 55 133 393 427
-366 430 60 137 394
-367 429 57 134 398
-368 58 136 426 395
-369 135 59 400 425
-370 396 56 431 140
-371 397 61 138 428
-372 399 432 62 139
-373 440 389 128 120
-374 124 389 118 437
-375 122 114 433 391
-376 123 113 434 392
-377 125 390 116 435
-378 126 117 392 436
-379 121 115 390 438
-380 127 391 119 439
-381 473 248 358 349
-382 474 355 246 359
-383 475 356 360 252
-384 352 477 250 360
-385 478 249 359 350
-386 353 247 357 480
-387 357 479 251 351
-388 354 245 476 358
-389 253 374 497 373
-390 254 377 498 379
-391 375 256 500 380
-392 255 376 378 499
-393 321 365 337 481
-394 485 366 324 338
-395 343 486 368 327
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