Graph forms
for C4 [ 512, 568 ] = SS[512,103]
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On this page are computer-accessible forms for the graph C4[ 512, 568 ] =
SS[512,103].
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {464, 465}, {1, 3}, {464, 466}, {1, 2}, {464, 467}, {1, 5}, {464,
468}, {27, 31}, {24, 28}, {1, 4}, {51, 54}, {49, 52}, {48, 55}, {50, 53}, {21,
29}, {370, 378}, {369, 377}, {368, 376}, {49, 57}, {48, 56}, {50, 59}, {375,
382}, {374, 383}, {372, 381}, {51, 58}, {500, 511}, {22, 26}, {498, 510}, {112,
124}, {66, 78}, {64, 76}, {23, 27}, {114, 127}, {67, 77}, {373, 379}, {64, 79},
{497, 510}, {496, 511}, {371, 380}, {113, 126}, {6, 22}, {493, 509}, {490, 506},
{102, 118}, {65, 81}, {41, 57}, {6, 23}, {484, 501}, {459, 474}, {452, 469},
{104, 121}, {101, 116}, {67, 82}, {66, 83}, {65, 80}, {42, 59}, {230, 247}, {40,
58}, {485, 503}, {458, 472}, {453, 471}, {111, 125}, {105, 123}, {104, 122},
{239, 253}, {6, 21}, {494, 509}, {107, 120}, {7, 20}, {231, 244}, {7, 19}, {44,
56}, {39, 51}, {234, 254}, {7, 18}, {457, 476}, {39, 50}, {7, 17}, {480, 502},
{99, 117}, {97, 119}, {39, 49}, {224, 246}, {39, 48}, {492, 507}, {491, 508},
{226, 245}, {232, 255}, {235, 252}, {45, 53}, {352, 376}, {98, 122}, {225, 249},
{36, 61}, {482, 507}, {359, 382}, {357, 380}, {47, 54}, {46, 55}, {37, 63},
{355, 377}, {38, 60}, {96, 123}, {481, 506}, {227, 248}, {105, 117}, {455, 475},
{107, 119}, {106, 118}, {32, 61}, {488, 501}, {358, 379}, {100, 121}, {35, 62},
{34, 63}, {6, 24}, {487, 505}, {486, 504}, {456, 470}, {451, 477}, {448, 478},
{356, 378}, {353, 383}, {106, 116}, {228, 250}, {229, 251}, {33, 62}, {489,
502}, {483, 508}, {454, 473}, {448, 479}, {354, 381}, {103, 120}, {43, 52}, {94,
126}, {475, 507}, {449, 481}, {95, 127}, {92, 125}, {450, 483}, {213, 244},
{214, 247}, {94, 124}, {469, 503}, {450, 480}, {31, 60}, {473, 506}, {462, 493},
{461, 494}, {460, 495}, {449, 482}, {459, 495}, {211, 245}, {479, 505}, {478,
504}, {474, 508}, {209, 246}, {451, 484}, {64, 104}, {454, 494}, {453, 493},
{65, 105}, {66, 107}, {476, 501}, {67, 106}, {210, 248}, {477, 503}, {208, 251},
{468, 511}, {465, 509}, {466, 510}, {212, 249}, {215, 250}, {470, 504}, {472,
502}, {471, 505}, {452, 500}, {455, 497}, {27, 35}, {28, 37}, {29, 36}, {456,
498}, {458, 496}, {457, 499}, {26, 33}, {463, 500}, {26, 38}, {463, 499}, {462,
498}, {461, 497}, {460, 496}, {28, 32}, {29, 34}, {30, 94}, {436, 500}, {407,
471}, {30, 95}, {435, 498}, {30, 92}, {430, 492}, {28, 95}, {434, 497}, {427,
488}, {30, 93}, {29, 94}, {54, 114}, {439, 499}, {431, 491}, {402, 470}, {53,
112}, {437, 496}, {428, 489}, {418, 487}, {416, 485}, {400, 469}, {186, 252},
{187, 253}, {26, 93}, {429, 490}, {417, 486}, {27, 92}, {307, 379}, {58, 115},
{183, 254}, {59, 113}, {422, 492}, {180, 255}, {419, 488}, {401, 474}, {306,
382}, {423, 491}, {404, 472}, {304, 381}, {426, 487}, {424, 485}, {420, 489},
{305, 383}, {405, 475}, {403, 476}, {425, 486}, {421, 490}, {406, 473}, {397,
477}, {303, 380}, {300, 376}, {302, 378}, {301, 377}, {56, 110}, {393, 479},
{392, 478}, {57, 111}, {52, 108}, {55, 109}, {390, 477}, {438, 493}, {384, 478},
{385, 479}, {432, 495}, {433, 494}, {53, 85}, {56, 89}, {389, 484}, {387, 482},
{59, 90}, {52, 86}, {386, 481}, {388, 480}, {391, 483}, {396, 484}, {444, 468},
{442, 466}, {441, 465}, {395, 482}, {443, 466}, {440, 465}, {394, 481}, {447,
468}, {55, 91}, {399, 483}, {61, 80}, {446, 467}, {54, 88}, {445, 467}, {398,
480}, {63, 81}, {60, 82}, {58, 84}, {57, 87}, {60, 83}, {25, 105}, {63, 79},
{62, 78}, {51, 67}, {50, 66}, {49, 65}, {48, 64}, {25, 104}, {61, 76}, {25,
107}, {414, 492}, {25, 106}, {411, 488}, {62, 77}, {415, 491}, {412, 489}, {413,
490}, {408, 485}, {410, 487}, {409, 486}, {20, 148}, {43, 171}, {268, 396},
{269, 397}, {44, 174}, {297, 427}, {47, 173}, {41, 170}, {298, 425}, {17, 149},
{271, 395}, {76, 200}, {74, 206}, {270, 394}, {18, 151}, {299, 430}, {296, 429},
{75, 206}, {73, 204}, {45, 168}, {24, 157}, {19, 150}, {24, 158}, {42, 172},
{41, 175}, {46, 169}, {72, 207}, {23, 159}, {295, 431}, {71, 207}, {69, 205},
{21, 156}, {78, 199}, {68, 205}, {47, 166}, {44, 165}, {70, 204}, {294, 428},
{37, 174}, {79, 196}, {77, 198}, {22, 154}, {292, 424}, {40, 164}, {33, 172},
{42, 167}, {34, 175}, {21, 155}, {35, 173}, {22, 153}, {293, 426}, {23, 152},
{284, 396}, {287, 399}, {286, 398}, {285, 397}, {32, 178}, {279, 389}, {278,
388}, {265, 410}, {81, 197}, {84, 192}, {267, 415}, {276, 385}, {310, 419},
{308, 417}, {38, 176}, {277, 387}, {87, 193}, {264, 414}, {266, 412}, {36, 179},
{311, 416}, {309, 418}, {40, 176}, {273, 393}, {43, 178}, {283, 386}, {90, 195},
{83, 202}, {274, 392}, {282, 384}, {80, 203}, {89, 194}, {82, 201}, {262, 413},
{45, 177}, {315, 423}, {290, 446}, {288, 444}, {46, 179}, {312, 421}, {275,
398}, {260, 409}, {261, 411}, {314, 420}, {291, 445}, {289, 447}, {281, 391},
{280, 390}, {263, 408}, {313, 422}, {272, 399}, {11, 170}, {378, 475}, {72,
234}, {73, 237}, {382, 474}, {287, 443}, {284, 440}, {74, 239}, {381, 472}, {75,
238}, {383, 473}, {12, 171}, {379, 476}, {286, 441}, {285, 442}, {15, 168}, {13,
165}, {288, 392}, {14, 166}, {259, 427}, {290, 395}, {70, 236}, {319, 405},
{291, 393}, {289, 394}, {380, 471}, {68, 232}, {71, 235}, {69, 233}, {257, 429},
{258, 430}, {9, 164}, {376, 469}, {318, 403}, {316, 401}, {10, 167}, {31, 177},
{256, 431}, {377, 470}, {317, 402}, {13, 191}, {9, 188}, {11, 190}, {10, 189},
{16, 169}, {257, 443}, {258, 441}, {256, 447}, {259, 444}, {17, 209}, {366,
430}, {360, 424}, {331, 395}, {329, 393}, {69, 132}, {364, 429}, {98, 163}, {71,
134}, {73, 139}, {343, 405}, {342, 404}, {330, 392}, {99, 161}, {83, 145}, {19,
208}, {361, 426}, {97, 162}, {96, 163}, {81, 146}, {79, 140}, {76, 143}, {75,
136}, {74, 137}, {68, 135}, {18, 214}, {367, 427}, {365, 425}, {363, 431}, {31,
218}, {340, 401}, {100, 161}, {17, 215}, {362, 428}, {328, 398}, {102, 160},
{20, 210}, {19, 213}, {18, 212}, {20, 211}, {341, 402}, {103, 160}, {101, 162},
{87, 144}, {43, 227}, {347, 403}, {327, 399}, {325, 397}, {324, 396}, {45, 229},
{44, 228}, {40, 225}, {47, 230}, {88, 146}, {346, 400}, {91, 145}, {89, 147},
{41, 226}, {15, 195}, {326, 394}, {70, 138}, {12, 193}, {72, 133}, {42, 231},
{14, 192}, {345, 407}, {344, 406}, {46, 224}, {277, 453}, {321, 400}, {374,
423}, {16, 194}, {375, 421}, {372, 422}, {369, 419}, {368, 418}, {276, 455},
{371, 416}, {283, 456}, {280, 459}, {320, 404}, {373, 417}, {322, 407}, {323,
406}, {90, 140}, {370, 420}, {348, 388}, {348, 389}, {349, 391}, {84, 143},
{349, 390}, {86, 141}, {85, 142}, {282, 454}, {351, 387}, {350, 386}, {92, 129},
{281, 452}, {279, 458}, {95, 130}, {93, 128}, {77, 147}, {351, 385}, {350, 384},
{93, 131}, {80, 142}, {78, 144}, {82, 141}, {278, 457}, {88, 184}, {101, 133},
{86, 180}, {89, 187}, {87, 181}, {84, 183}, {338, 433}, {337, 434}, {90, 185},
{88, 188}, {109, 137}, {108, 136}, {91, 191}, {98, 132}, {96, 135}, {339, 436},
{336, 439}, {97, 134}, {85, 189}, {332, 420}, {111, 135}, {86, 190}, {110, 132},
{333, 423}, {99, 136}, {91, 182}, {335, 418}, {110, 131}, {109, 128}, {108,
129}, {103, 138}, {102, 139}, {100, 137}, {85, 186}, {334, 417}, {364, 412},
{374, 390}, {115, 130}, {366, 415}, {360, 409}, {361, 411}, {336, 419}, {368,
387}, {339, 416}, {314, 462}, {371, 391}, {315, 462}, {372, 385}, {369, 388},
{367, 410}, {365, 408}, {363, 414}, {313, 463}, {113, 134}, {375, 384}, {373,
386}, {370, 389}, {362, 413}, {338, 421}, {337, 422}, {312, 463}, {114, 133},
{96, 152}, {353, 409}, {308, 460}, {115, 139}, {102, 158}, {101, 157}, {309,
460}, {354, 411}, {335, 438}, {332, 437}, {36, 222}, {358, 412}, {311, 461},
{112, 138}, {97, 155}, {32, 219}, {357, 414}, {310, 461}, {103, 156}, {98, 153},
{35, 223}, {99, 159}, {33, 220}, {334, 435}, {333, 432}, {37, 216}, {100, 154},
{356, 410}, {355, 413}, {34, 221}, {359, 408}, {352, 415}, {38, 217}, {117,
357}, {118, 359}, {116, 358}, {124, 360}, {127, 363}, {126, 362}, {125, 361},
{119, 352}, {120, 354}, {123, 353}, {121, 355}, {122, 356}, {125, 347}, {126,
344}, {127, 343}, {124, 341}, {117, 323}, {119, 320}, {120, 321}, {123, 322},
{253, 445}, {255, 446}, {245, 439}, {252, 440}, {254, 442}, {244, 433}, {247,
434}, {121, 319}, {246, 432}, {122, 317}, {116, 316}, {118, 318}, {251, 435},
{248, 437}, {250, 436}, {249, 438}, {255, 428}, {8, 348}, {254, 426}, {8, 349},
{252, 425}, {253, 424}, {8, 350}, {8, 351}, {246, 406}, {247, 404}, {244, 401},
{245, 402}, {251, 403}, {249, 400}, {248, 405}, {250, 407}, {69, 453}, {161,
288}, {163, 290}, {72, 458}, {161, 291}, {163, 289}, {205, 329}, {171, 302},
{206, 331}, {170, 301}, {205, 330}, {207, 328}, {164, 300}, {204, 324}, {206,
326}, {207, 327}, {204, 325}, {165, 303}, {68, 456}, {75, 455}, {74, 454}, {71,
459}, {73, 452}, {70, 457}, {181, 293}, {187, 298}, {216, 330}, {220, 328},
{221, 329}, {167, 306}, {222, 331}, {166, 304}, {192, 342}, {193, 343}, {169,
305}, {195, 347}, {223, 327}, {217, 320}, {194, 344}, {168, 307}, {216, 323},
{180, 296}, {222, 322}, {182, 299}, {217, 324}, {219, 326}, {183, 297}, {186,
292}, {223, 321}, {184, 295}, {185, 294}, {218, 325}, {148, 308}, {151, 311},
{150, 310}, {149, 309}, {172, 268}, {173, 269}, {174, 270}, {175, 271}, {178,
274}, {177, 272}, {242, 339}, {243, 338}, {179, 273}, {242, 336}, {243, 337},
{16, 435}, {176, 275}, {196, 359}, {198, 357}, {225, 322}, {227, 320}, {199,
355}, {231, 323}, {228, 321}, {197, 354}, {200, 352}, {153, 307}, {154, 304},
{202, 353}, {108, 448}, {157, 305}, {109, 448}, {151, 314}, {150, 315}, {149,
312}, {148, 313}, {159, 306}, {201, 356}, {203, 358}, {16, 446}, {111, 449},
{110, 449}, {153, 297}, {155, 299}, {164, 276}, {169, 281}, {9, 440}, {115,
450}, {114, 451}, {13, 444}, {112, 450}, {113, 451}, {168, 282}, {10, 441},
{156, 303}, {12, 447}, {158, 301}, {166, 277}, {152, 300}, {158, 298}, {14,
443}, {157, 296}, {155, 302}, {15, 442}, {11, 445}, {181, 259}, {182, 256},
{188, 267}, {191, 264}, {159, 295}, {185, 257}, {190, 262}, {9, 432}, {156,
293}, {14, 439}, {11, 433}, {15, 437}, {12, 438}, {184, 258}, {189, 263}, {152,
292}, {154, 294}, {167, 283}, {240, 332}, {165, 280}, {170, 279}, {171, 278},
{240, 333}, {10, 436}, {160, 286}, {162, 284}, {241, 335}, {13, 434}, {160,
287}, {162, 285}, {241, 334}, {183, 372}, {140, 328}, {180, 369}, {182, 371},
{192, 261}, {136, 334}, {137, 335}, {194, 260}, {138, 333}, {139, 332}, {181,
370}, {184, 368}, {193, 265}, {196, 268}, {197, 269}, {198, 270}, {199, 271},
{148, 349}, {151, 350}, {150, 351}, {149, 348}, {195, 266}, {141, 326}, {143,
324}, {142, 325}, {215, 284}, {185, 373}, {186, 375}, {187, 374}, {210, 287},
{211, 285}, {209, 286}, {234, 314}, {235, 315}, {212, 261}, {215, 260}, {128,
340}, {210, 262}, {146, 327}, {132, 338}, {135, 337}, {134, 336}, {133, 339},
{129, 342}, {208, 263}, {238, 313}, {239, 312}, {229, 317}, {131, 346}, {147,
330}, {144, 329}, {209, 264}, {230, 319}, {145, 331}, {211, 265}, {236, 310},
{237, 311}, {130, 345}, {200, 275}, {201, 274}, {202, 273}, {203, 272}, {224,
316}, {226, 318}, {232, 308}, {233, 309}, {214, 267}, {213, 266}, {203, 298},
{242, 275}, {243, 274}, {198, 292}, {220, 318}, {221, 319}, {242, 272}, {243,
273}, {235, 264}, {140, 360}, {143, 363}, {142, 362}, {141, 361}, {236, 265},
{238, 267}, {239, 266}, {188, 346}, {191, 345}, {218, 316}, {219, 317}, {176,
343}, {177, 344}, {178, 347}, {179, 346}, {189, 340}, {233, 256}, {237, 260},
{190, 341}, {219, 304}, {196, 296}, {222, 306}, {233, 261}, {234, 262}, {129,
364}, {130, 367}, {200, 293}, {202, 295}, {220, 305}, {236, 257}, {238, 259},
{128, 366}, {131, 365}, {197, 299}, {199, 297}, {221, 307}, {201, 294}, {232,
263}, {237, 258}, {228, 276}, {230, 278}, {223, 302}, {229, 279}, {208, 291},
{2, 502}, {3, 503}, {173, 345}, {212, 288}, {216, 300}, {217, 303}, {227, 277},
{2, 501}, {213, 290}, {214, 289}, {218, 301}, {226, 282}, {172, 341}, {175,
342}, {225, 280}, {174, 340}, {4, 511}, {224, 283}, {4, 504}, {145, 365}, {144,
364}, {5, 505}, {240, 268}, {3, 510}, {147, 366}, {146, 367}, {240, 269}, {4,
506}, {5, 507}, {231, 281}, {241, 271}, {2, 509}, {3, 508}, {241, 270}, {5,
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, 26, 464, 27)(2, 22, 466, 92)(3, 93, 465, 23)(4, 38, 467, 35)(5, 33, 468,
31)(6, 510, 30, 509)(7, 65, 8, 64)(9, 292, 469, 365)(10, 295, 474, 366)(11, 302,
470, 343)(12, 301, 475, 341)(13, 344, 471, 305)(14, 364, 472, 294)(15, 361, 476,
297)(16, 345, 473, 303)(17, 105, 349, 48)(18, 80, 351, 79)(19, 81, 350, 76)(20,
49, 348, 104)(21, 498, 95, 494)(24, 497, 94, 493)(25, 148, 39, 149)(28, 461, 29,
462)(32, 310, 34, 314)(36, 315, 37, 311)(40, 253, 321, 486)(41, 370, 317,
265)(42, 256, 316, 492)(43, 369, 319, 262)(44, 260, 322, 374)(45, 487, 318,
259)(46, 264, 323, 371)(47, 490, 320, 255)(50, 309, 106, 313)(51, 312, 107,
308)(52, 388, 121, 210)(53, 418, 118, 238)(54, 421, 119, 232)(55, 209, 117,
391)(56, 215, 123, 390)(57, 389, 122, 211)(58, 239, 120, 417)(59, 233, 116,
422)(60, 512, 62, 511)(61, 150, 63, 151)(66, 460, 67, 463)(68, 114, 338, 97)(69,
101, 337, 113)(70, 271, 332, 326)(71, 330, 339, 273)(72, 274, 336, 329)(73, 331,
333, 270)(74, 103, 334, 115)(75, 112, 335, 102)(77, 500, 83, 495)(78, 496, 82,
499)(84, 266, 354, 373)(85, 368, 359, 267)(86, 278, 355, 248)(87, 279, 356,
245)(88, 375, 352, 263)(89, 250, 353, 280)(90, 261, 358, 372)(91, 246, 357,
281)(96, 477, 110, 284)(98, 285, 111, 484)(99, 483, 109, 286)(100, 287, 108,
480)(124, 438, 158, 455)(125, 501, 153, 442)(126, 453, 157, 434)(127, 433, 155,
456)(128, 441, 159, 508)(129, 502, 154, 443)(130, 454, 156, 435)(131, 440, 152,
503)(132, 162, 135, 451)(133, 243, 134, 205)(136, 450, 137, 160)(138, 241, 139,
206)(140, 212, 203, 385)(141, 457, 199, 437)(142, 387, 196, 214)(143, 213, 197,
386)(144, 458, 201, 439)(145, 432, 198, 452)(146, 384, 200, 208)(147, 436, 202,
459)(161, 399, 448, 398)(163, 397, 449, 396)(164, 424, 400, 425)(165, 194, 407,
383)(166, 429, 404, 428)(167, 431, 401, 430)(168, 426, 403, 427)(169, 191, 406,
380)(170, 378, 402, 193)(171, 377, 405, 190)(172, 447, 218, 507)(173, 506, 217,
446)(174, 237, 222, 423)(175, 420, 219, 236)(176, 445, 223, 504)(177, 505, 220,
444)(178, 419, 221, 234)(179, 235, 216, 416)(180, 230, 413, 227)(181, 229, 410,
226)(182, 224, 414, 231)(183, 195, 411, 379)(184, 382, 415, 189)(185, 192, 412,
381)(186, 376, 408, 188)(187, 228, 409, 225)(204, 395, 240, 394)(207, 392, 242,
393)(244, 299, 283, 363)(247, 362, 277, 296)(249, 298, 276, 360)(251, 367, 282,
293)(252, 300, 485, 346)(254, 347, 488, 307)(257, 342, 489, 304)(258, 306, 491,
340)(268, 289, 325, 482)(269, 481, 324, 290)(272, 479, 328, 288)(275, 291, 327,
478) (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, 22)(3, 23)(4, 21)(5, 24)(7, 39)(8, 25)(9, 340)(10, 346)(11,
343)(12, 341)(13, 344)(14, 347)(15, 342)(16, 345)(17, 48)(18, 50)(19, 51)(20,
49)(26, 509)(27, 510)(28, 512)(29, 511)(30, 464)(31, 497)(32, 499)(33, 493)(34,
496)(35, 498)(36, 500)(37, 495)(38, 494)(40, 244)(41, 248)(42, 249)(43, 245)(44,
246)(45, 247)(46, 250)(47, 251)(52, 211)(53, 214)(54, 208)(55, 215)(56, 209)(57,
210)(58, 213)(59, 212)(60, 461)(61, 463)(62, 462)(63, 460)(64, 149)(65, 148)(66,
151)(67, 150)(68, 327)(69, 328)(70, 326)(71, 330)(72, 329)(73, 331)(74, 324)(75,
325)(76, 312)(77, 315)(78, 314)(79, 309)(80, 313)(81, 308)(82, 310)(83, 311)(84,
266)(85, 267)(86, 265)(87, 262)(88, 263)(89, 264)(90, 261)(91, 260)(92, 466)(93,
465)(94, 468)(95, 467)(96, 483)(97, 478)(98, 480)(99, 477)(100, 484)(101,
479)(102, 482)(103, 481)(104, 348)(105, 349)(106, 351)(107, 350)(108, 285)(109,
284)(110, 286)(111, 287)(112, 289)(113, 288)(114, 291)(115, 290)(116, 385)(117,
390)(118, 387)(119, 384)(120, 386)(121, 389)(122, 388)(123, 391)(124, 447)(125,
443)(126, 444)(127, 445)(128, 440)(129, 442)(130, 446)(131, 441)(132, 398)(133,
393)(134, 392)(135, 399)(136, 397)(137, 396)(138, 394)(139, 395)(140, 233)(141,
236)(142, 238)(143, 239)(144, 234)(145, 237)(146, 232)(147, 235)(152, 508)(153,
502)(154, 501)(155, 504)(156, 506)(157, 505)(158, 507)(159, 503)(160, 449)(161,
451)(162, 448)(163, 450)(164, 401)(165, 406)(166, 403)(167, 400)(168, 404)(169,
407)(170, 405)(171, 402)(172, 438)(173, 435)(174, 432)(175, 437)(176, 433)(177,
434)(178, 439)(179, 436)(180, 410)(181, 413)(182, 409)(183, 412)(184, 408)(185,
411)(186, 415)(187, 414)(188, 189)(190, 193)(191, 194)(192, 195)(196, 418)(197,
417)(198, 423)(199, 420)(200, 421)(201, 419)(202, 416)(203, 422)(204, 206)(205,
207)(216, 459)(217, 454)(218, 455)(219, 457)(220, 453)(221, 458)(222, 452)(223,
456)(224, 228)(225, 231)(226, 227)(229, 230)(240, 241)(242, 243)(252, 366)(253,
363)(254, 364)(255, 367)(256, 360)(257, 361)(258, 365)(259, 362)(268, 335)(269,
334)(270, 333)(271, 332)(272, 337)(273, 339)(274, 336)(275, 338)(276, 316)(277,
318)(278, 317)(279, 319)(280, 323)(281, 322)(282, 320)(283, 321)(292, 491)(293,
490)(294, 488)(295, 485)(296, 487)(297, 489)(298, 492)(299, 486)(300, 474)(301,
475)(302, 470)(303, 473)(304, 476)(305, 471)(306, 469)(307, 472)(352, 375)(353,
371)(354, 373)(355, 370)(356, 369)(357, 374)(358, 372)(359, 368)(376, 382)(377,
378)(379, 381)(380, 383)(424, 431)(425, 430)(426, 429)(427, 428)
c: (1, 52, 149, 154)(2, 108, 348, 100)(3, 49, 17, 22)(4, 43, 312, 304)(5, 86,
309, 294)(6, 503, 65, 215)(7, 153, 510, 57)(8, 121, 509, 129)(9, 31, 280,
106)(10, 95, 281, 76)(11, 261, 373, 475)(12, 266, 372, 470)(13, 318, 267,
45)(14, 481, 248, 338)(15, 337, 245, 289)(16, 293, 263, 367)(18, 307, 497,
41)(19, 297, 498, 87)(20, 98, 466, 111)(21, 485, 81, 260)(23, 477, 105, 284)(24,
469, 80, 250)(25, 440, 27, 390)(26, 508, 39, 209)(28, 452, 61, 436)(29, 416, 63,
237)(30, 391, 64, 441)(32, 500)(33, 491, 50, 264)(34, 311)(35, 374, 107,
252)(36, 339, 37, 73)(38, 474, 51, 246)(40, 316)(42, 363)(44, 102, 346, 272)(46,
275, 340, 115)(47, 473, 320, 375)(48, 286, 93, 483)(53, 191, 220, 415)(54, 406,
217, 382)(55, 398, 128, 450)(56, 160, 131, 399)(58, 224, 176, 401)(59, 414, 172,
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350)(335, 489, 479, 369)(351, 355, 493, 364)(377, 438, 412, 385)(378, 445, 411,
417)(387, 413, 453, 429)
d: (2, 5)(3, 4)(9, 11)(10, 16)(12, 14)(13, 15)(17, 19)(18, 20)(21, 22)(23,
24)(26, 29)(27, 28)(31, 37)(32, 35)(33, 36)(34, 38)(40, 41)(42, 46)(43, 47)(44,
45)(48, 50)(49, 51)(52, 54)(53, 56)(55, 59)(57, 58)(60, 63)(61, 62)(64, 66)(65,
67)(68, 73)(69, 70)(71, 74)(72, 75)(76, 78)(77, 80)(79, 83)(81, 82)(84, 87)(85,
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492)(490, 491)(493, 499)(494, 495)(496, 497)(498, 500)(501, 505)(502, 507)(503,
504)(506, 508)(509, 512)(510, 511)
e: (4, 5)(9, 10)(11, 12)(13, 16)(14, 15)(18, 19)(21, 24)(28, 29)(31, 35)(32,
34)(33, 38)(36, 37)(40, 42)(41, 43)(44, 46)(45, 47)(50, 51)(52, 57)(53, 54)(55,
56)(58, 59)(60, 62)(61, 63)(66, 67)(68, 75)(69, 74)(70, 72)(71, 73)(76, 79)(77,
83)(78, 82)(80, 81)(84, 90)(85, 88)(86, 87)(89, 91)(94, 95)(96, 99)(97, 102)(98,
100)(101, 103)(106, 107)(108, 111)(109, 110)(112, 114)(113, 115)(116, 120)(117,
123)(118, 119)(121, 122)(124, 127)(125, 129)(126, 130)(128, 131)(132, 137)(133,
138)(134, 139)(135, 136)(140, 143)(141, 144)(142, 146)(145, 147)(150, 151)(152,
159)(153, 154)(155, 158)(156, 157)(160, 162)(161, 163)(164, 167)(165, 169)(166,
168)(170, 171)(172, 176)(173, 177)(174, 179)(175, 178)(180, 181)(182, 187)(183,
185)(184, 186)(188, 189)(190, 193)(191, 194)(192, 195)(196, 200)(197, 203)(198,
202)(199, 201)(204, 207)(205, 206)(208, 214)(209, 215)(210, 211)(212, 213)(216,
222)(217, 220)(218, 223)(219, 221)(224, 228)(225, 231)(226, 227)(229, 230)(232,
238)(233, 239)(234, 236)(235, 237)(240, 242)(241, 243)(244, 249)(245, 248)(246,
250)(247, 251)(252, 258)(253, 256)(254, 257)(255, 259)(260, 264)(261, 266)(262,
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314)(311, 315)(316, 321)(317, 319)(318, 320)(322, 323)(324, 328)(325, 327)(326,
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364)(362, 367)(365, 366)(368, 375)(369, 370)(371, 374)(372, 373)(376, 382)(377,
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494)(495, 500)(496, 499)(497, 498)(501, 502)(503, 508)(504, 507)(505, 506)(511,
512)
f: (1, 7)(2, 19)(3, 18)(4, 20)(5, 17)(6, 39)(8, 464)(9, 368)(10, 372)(11,
369)(12, 374)(13, 371)(14, 375)(15, 373)(16, 370)(21, 48)(22, 50)(23, 51)(24,
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305)(88, 300)(89, 302)(90, 307)(91, 303)(92, 106)(93, 107)(94, 104)(95, 105)(96,
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408)(405, 409)(406, 410)(407, 414)(416, 434)(417, 437)(418, 432)(419, 433)(420,
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g: (1, 8)(2, 348)(3, 349)(4, 351)(5, 350)(6, 25)(7, 464)(9, 260)(10, 264)(11,
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508)(392, 393)(394, 395)(416, 459)(417, 455)(418, 454)(419, 458)(420, 457)(421,
453)(422, 456)(423, 452)(460, 461)(462, 463)(478, 479)(481, 482)
C4[ 512, 568 ]
512
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