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On this page are computer-accessible forms for the graph C4[ 512, 649 ] =
SS[512,203].
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {464, 465}, {1, 3}, {41, 43}, {464, 466}, {1, 2}, {41, 42}, {464,
467}, {1, 5}, {40, 44}, {41, 45}, {43, 47}, {464, 468}, {1, 4}, {195, 198},
{194, 199}, {41, 44}, {43, 46}, {52, 60}, {53, 61}, {16, 25}, {500, 509}, {197,
204}, {196, 205}, {48, 57}, {49, 56}, {50, 59}, {51, 58}, {39, 45}, {16, 27},
{195, 200}, {194, 201}, {38, 42}, {274, 287}, {499, 510}, {498, 511}, {275,
286}, {37, 43}, {497, 511}, {192, 207}, {197, 202}, {196, 203}, {193, 206}, {12,
28}, {494, 510}, {493, 509}, {193, 209}, {192, 208}, {78, 94}, {79, 95}, {102,
118}, {9, 24}, {11, 26}, {102, 119}, {487, 502}, {6, 20}, {11, 25}, {104, 122},
{132, 150}, {133, 151}, {457, 475}, {458, 472}, {15, 28}, {491, 504}, {104,
123}, {6, 18}, {105, 125}, {107, 127}, {456, 476}, {6, 19}, {15, 26}, {105,
124}, {107, 126}, {14, 24}, {455, 465}, {6, 17}, {12, 27}, {454, 465}, {13, 21},
{14, 22}, {44, 52}, {46, 54}, {47, 55}, {64, 88}, {65, 89}, {130, 154}, {131,
155}, {44, 53}, {66, 91}, {67, 90}, {68, 93}, {69, 92}, {70, 95}, {71, 94},
{132, 157}, {133, 156}, {460, 469}, {480, 505}, {485, 508}, {13, 23}, {42, 48},
{100, 126}, {101, 127}, {453, 479}, {456, 466}, {42, 49}, {492, 503}, {130,
153}, {131, 152}, {386, 409}, {387, 408}, {388, 415}, {389, 414}, {457, 466},
{461, 470}, {481, 506}, {482, 505}, {9, 21}, {10, 22}, {449, 477}, {459, 471},
{10, 23}, {384, 413}, {385, 412}, {455, 474}, {486, 507}, {488, 501}, {45, 51},
{103, 121}, {448, 478}, {458, 468}, {461, 467}, {45, 50}, {490, 501}, {489,
502}, {103, 120}, {128, 159}, {129, 158}, {454, 473}, {459, 468}, {460, 467},
{483, 508}, {484, 507}, {262, 294}, {263, 295}, {450, 482}, {128, 161}, {129,
160}, {462, 495}, {463, 494}, {473, 504}, {449, 483}, {451, 481}, {463, 493},
{90, 121}, {91, 120}, {268, 303}, {269, 302}, {270, 301}, {271, 300}, {282,
313}, {283, 312}, {472, 507}, {448, 484}, {452, 480}, {88, 125}, {89, 124},
{280, 317}, {281, 316}, {450, 487}, {477, 504}, {479, 506}, {76, 100}, {77,
101}, {452, 492}, {72, 97}, {259, 298}, {258, 299}, {73, 96}, {74, 99}, {75,
98}, {266, 291}, {267, 290}, {270, 295}, {271, 294}, {282, 307}, {283, 306},
{388, 429}, {389, 428}, {476, 501}, {478, 503}, {284, 310}, {285, 311}, {384,
426}, {385, 427}, {92, 119}, {93, 118}, {451, 488}, {468, 511}, {471, 508}, {86,
122}, {87, 123}, {284, 304}, {285, 305}, {465, 509}, {466, 510}, {256, 301},
{265, 292}, {264, 293}, {261, 296}, {260, 297}, {257, 300}, {268, 289}, {269,
288}, {278, 315}, {279, 314}, {280, 309}, {281, 308}, {474, 503}, {475, 502},
{453, 491}, {272, 319}, {273, 318}, {469, 506}, {470, 505}, {82, 98}, {83, 99},
{80, 97}, {81, 96}, {84, 101}, {85, 100}, {274, 291}, {275, 290}, {20, 39},
{263, 308}, {262, 309}, {272, 293}, {273, 292}, {276, 289}, {277, 288}, {17,
38}, {18, 37}, {386, 437}, {387, 436}, {258, 315}, {259, 314}, {272, 297}, {273,
296}, {278, 303}, {279, 302}, {266, 304}, {267, 305}, {462, 500}, {19, 40},
{264, 307}, {265, 306}, {256, 316}, {257, 317}, {462, 498}, {260, 313}, {261,
312}, {462, 499}, {463, 497}, {276, 299}, {277, 298}, {463, 496}, {152, 216},
{153, 217}, {282, 346}, {283, 347}, {284, 349}, {285, 348}, {138, 200}, {139,
201}, {425, 491}, {160, 227}, {161, 226}, {148, 208}, {165, 225}, {164, 224},
{149, 209}, {422, 482}, {424, 492}, {428, 488}, {136, 205}, {145, 212}, {144,
213}, {137, 204}, {270, 331}, {271, 330}, {423, 481}, {32, 103}, {155, 220},
{154, 221}, {278, 337}, {279, 336}, {33, 105}, {36, 108}, {270, 327}, {271,
326}, {282, 339}, {283, 338}, {284, 341}, {285, 340}, {32, 106}, {157, 215},
{156, 214}, {405, 479}, {429, 487}, {430, 484}, {34, 105}, {141, 198}, {140,
199}, {35, 104}, {33, 109}, {151, 219}, {150, 218}, {36, 104}, {431, 483}, {134,
203}, {135, 202}, {34, 108}, {35, 109}, {278, 344}, {279, 345}, {280, 343},
{281, 342}, {179, 227}, {180, 228}, {179, 226}, {180, 229}, {274, 323}, {275,
322}, {416, 498}, {419, 497}, {434, 480}, {182, 229}, {183, 228}, {417, 498},
{418, 497}, {181, 225}, {420, 496}, {433, 485}, {446, 490}, {181, 224}, {183,
226}, {182, 227}, {272, 325}, {273, 324}, {276, 321}, {277, 320}, {421, 496},
{432, 486}, {447, 489}, {280, 335}, {281, 334}, {390, 478}, {446, 486}, {184,
225}, {185, 224}, {391, 477}, {447, 485}, {142, 210}, {147, 207}, {146, 206},
{143, 211}, {276, 328}, {277, 329}, {437, 489}, {436, 490}, {274, 333}, {275,
332}, {167, 199}, {169, 201}, {394, 490}, {438, 470}, {440, 472}, {443, 475},
{444, 476}, {167, 198}, {169, 200}, {438, 471}, {443, 474}, {173, 207}, {393,
491}, {395, 489}, {439, 469}, {173, 206}, {187, 216}, {186, 217}, {442, 473},
{168, 204}, {392, 492}, {396, 488}, {445, 473}, {168, 205}, {54, 80}, {187,
221}, {186, 220}, {185, 223}, {184, 222}, {55, 81}, {442, 476}, {444, 474},
{445, 475}, {188, 219}, {189, 218}, {56, 80}, {57, 81}, {60, 84}, {61, 85},
{398, 486}, {411, 499}, {58, 83}, {151, 254}, {150, 255}, {59, 82}, {62, 87},
{63, 86}, {410, 499}, {176, 218}, {397, 487}, {399, 485}, {176, 219}, {191,
212}, {190, 213}, {189, 214}, {188, 215}, {166, 202}, {178, 222}, {177, 221},
{408, 500}, {435, 479}, {441, 469}, {166, 203}, {191, 210}, {190, 211}, {178,
223}, {177, 220}, {409, 500}, {440, 470}, {441, 471}, {58, 85}, {59, 84}, {60,
83}, {61, 82}, {439, 472}, {402, 482}, {401, 483}, {403, 481}, {412, 494}, {415,
493}, {413, 494}, {414, 493}, {31, 107}, {400, 484}, {404, 480}, {426, 478},
{30, 107}, {139, 254}, {138, 255}, {175, 217}, {427, 477}, {29, 106}, {175,
216}, {56, 79}, {57, 78}, {54, 78}, {174, 214}, {171, 211}, {55, 79}, {407,
495}, {30, 103}, {174, 215}, {171, 210}, {31, 102}, {406, 495}, {158, 228},
{159, 229}, {29, 102}, {172, 208}, {162, 223}, {172, 209}, {163, 222}, {170,
212}, {170, 213}, {62, 184}, {63, 185}, {36, 172}, {32, 169}, {35, 170}, {72,
193}, {73, 192}, {74, 195}, {75, 194}, {76, 197}, {77, 196}, {33, 171}, {318,
436}, {319, 437}, {34, 173}, {80, 192}, {81, 193}, {32, 177}, {34, 179}, {82,
195}, {83, 194}, {84, 197}, {85, 196}, {306, 419}, {307, 418}, {33, 180}, {304,
421}, {305, 420}, {308, 417}, {309, 416}, {35, 181}, {36, 178}, {96, 249}, {97,
248}, {98, 251}, {99, 250}, {100, 253}, {101, 252}, {286, 391}, {287, 390},
{298, 394}, {299, 395}, {314, 411}, {315, 410}, {296, 396}, {297, 397}, {300,
392}, {301, 393}, {312, 413}, {313, 412}, {316, 409}, {317, 408}, {23, 176},
{28, 180}, {294, 398}, {295, 399}, {24, 177}, {26, 179}, {88, 241}, {89, 240},
{90, 243}, {91, 242}, {92, 245}, {93, 244}, {94, 247}, {95, 246}, {310, 415},
{311, 414}, {25, 178}, {27, 181}, {31, 176}, {24, 168}, {26, 170}, {28, 172},
{22, 167}, {30, 175}, {290, 403}, {291, 402}, {25, 171}, {21, 166}, {29, 174},
{292, 400}, {293, 401}, {288, 405}, {289, 404}, {27, 173}, {31, 168}, {30, 166},
{86, 238}, {87, 239}, {302, 406}, {303, 407}, {22, 175}, {29, 167}, {21, 174},
{23, 169}, {374, 435}, {375, 434}, {362, 419}, {363, 418}, {364, 421}, {365,
420}, {351, 405}, {351, 404}, {378, 433}, {379, 432}, {110, 163}, {111, 162},
{364, 417}, {365, 416}, {350, 400}, {350, 401}, {54, 230}, {55, 231}, {56, 233},
{57, 232}, {58, 235}, {59, 234}, {60, 237}, {61, 236}, {116, 160}, {117, 161},
{112, 165}, {113, 164}, {376, 430}, {377, 431}, {374, 417}, {375, 416}, {382,
425}, {383, 424}, {286, 455}, {287, 454}, {126, 164}, {127, 165}, {380, 423},
{381, 422}, {94, 131}, {95, 130}, {126, 163}, {127, 162}, {376, 421}, {377,
420}, {380, 419}, {381, 418}, {330, 426}, {331, 427}, {296, 457}, {297, 456},
{334, 431}, {335, 430}, {370, 403}, {371, 402}, {338, 432}, {339, 433}, {356,
390}, {366, 396}, {367, 397}, {98, 129}, {99, 128}, {118, 149}, {119, 148},
{298, 457}, {299, 456}, {356, 391}, {372, 400}, {373, 401}, {96, 133}, {97,
132}, {118, 147}, {119, 146}, {328, 429}, {329, 428}, {332, 425}, {333, 424},
{366, 395}, {367, 394}, {382, 411}, {383, 410}, {370, 404}, {371, 405}, {320,
423}, {321, 422}, {340, 435}, {341, 434}, {108, 132}, {116, 156}, {117, 157},
{120, 144}, {121, 145}, {326, 430}, {327, 431}, {108, 133}, {112, 153}, {113,
152}, {114, 155}, {115, 154}, {106, 128}, {300, 454}, {301, 455}, {355, 393},
{106, 129}, {355, 392}, {114, 159}, {115, 158}, {288, 461}, {289, 460}, {294,
459}, {295, 458}, {378, 407}, {379, 406}, {109, 131}, {353, 399}, {354, 396},
{357, 395}, {109, 130}, {290, 461}, {291, 460}, {292, 459}, {293, 458}, {346,
437}, {347, 436}, {353, 398}, {354, 397}, {357, 394}, {10, 250}, {10, 251}, {78,
191}, {79, 190}, {124, 141}, {125, 140}, {322, 435}, {323, 434}, {360, 409},
{361, 408}, {352, 402}, {122, 137}, {123, 136}, {352, 403}, {9, 253}, {12, 248},
{324, 432}, {325, 433}, {9, 252}, {12, 249}, {344, 429}, {345, 428}, {348, 425},
{349, 424}, {360, 413}, {361, 412}, {17, 231}, {120, 142}, {121, 143}, {17,
230}, {64, 183}, {65, 182}, {124, 139}, {125, 138}, {336, 423}, {337, 422},
{368, 391}, {369, 390}, {13, 245}, {19, 235}, {20, 236}, {66, 186}, {67, 187},
{68, 188}, {69, 189}, {368, 392}, {369, 393}, {13, 244}, {19, 234}, {20, 237},
{70, 191}, {71, 190}, {110, 151}, {111, 150}, {358, 415}, {359, 414}, {18, 232},
{18, 233}, {372, 399}, {373, 398}, {11, 247}, {14, 242}, {122, 134}, {123, 135},
{11, 246}, {14, 243}, {342, 427}, {343, 426}, {358, 411}, {359, 410}, {362,
407}, {363, 406}, {15, 241}, {16, 238}, {15, 240}, {16, 239}, {186, 443}, {189,
444}, {188, 445}, {187, 442}, {112, 377}, {113, 376}, {114, 379}, {115, 378},
{116, 381}, {117, 380}, {182, 441}, {185, 438}, {184, 439}, {183, 440}, {110,
383}, {111, 382}, {110, 375}, {111, 374}, {64, 359}, {65, 358}, {72, 367}, {73,
366}, {64, 360}, {65, 361}, {66, 363}, {67, 362}, {68, 365}, {69, 364}, {70,
367}, {71, 366}, {148, 447}, {149, 446}, {68, 362}, {69, 363}, {66, 365}, {67,
364}, {70, 369}, {137, 446}, {136, 447}, {71, 368}, {72, 368}, {73, 369}, {74,
371}, {75, 370}, {76, 373}, {77, 372}, {74, 372}, {75, 373}, {76, 371}, {77,
370}, {39, 357}, {39, 356}, {37, 353}, {37, 352}, {135, 450}, {134, 451}, {48,
375}, {49, 374}, {48, 376}, {49, 377}, {40, 354}, {52, 382}, {53, 383}, {40,
355}, {143, 452}, {142, 453}, {140, 449}, {141, 448}, {138, 453}, {139, 452},
{46, 380}, {47, 381}, {144, 451}, {147, 448}, {146, 449}, {145, 450}, {46, 379},
{47, 378}, {8, 350}, {62, 361}, {63, 360}, {7, 351}, {62, 359}, {63, 358}, {7,
357}, {7, 355}, {7, 353}, {8, 352}, {8, 354}, {8, 356}, {38, 350}, {38, 351},
{200, 331}, {219, 344}, {218, 345}, {217, 346}, {216, 347}, {201, 330}, {134,
259}, {205, 328}, {204, 329}, {143, 266}, {142, 267}, {135, 258}, {198, 333},
{221, 342}, {220, 343}, {215, 348}, {214, 349}, {207, 324}, {206, 325}, {199,
332}, {136, 260}, {141, 257}, {140, 256}, {137, 261}, {222, 335}, {223, 334},
{210, 320}, {211, 321}, {146, 263}, {147, 262}, {158, 264}, {159, 265}, {208,
327}, {213, 322}, {212, 323}, {209, 326}, {152, 257}, {153, 256}, {148, 264},
{149, 265}, {144, 269}, {145, 268}, {154, 260}, {157, 259}, {156, 258}, {155,
261}, {248, 344}, {249, 345}, {246, 343}, {247, 342}, {164, 262}, {165, 263},
{248, 349}, {249, 348}, {238, 328}, {239, 329}, {162, 267}, {253, 340}, {252,
341}, {251, 338}, {250, 339}, {163, 266}, {250, 337}, {251, 336}, {160, 268},
{161, 269}, {246, 347}, {247, 346}, {50, 386}, {227, 339}, {226, 338}, {51,
387}, {52, 389}, {245, 324}, {244, 325}, {243, 322}, {242, 323}, {53, 388}, {50,
385}, {253, 334}, {252, 335}, {245, 326}, {244, 327}, {243, 320}, {242, 321},
{51, 384}, {224, 341}, {229, 336}, {228, 337}, {225, 340}, {240, 331}, {241,
330}, {240, 332}, {241, 333}, {254, 310}, {255, 311}, {230, 303}, {231, 302},
{238, 319}, {239, 318}, {234, 312}, {235, 313}, {230, 307}, {231, 306}, {236,
314}, {237, 315}, {234, 317}, {235, 316}, {232, 305}, {233, 304}, {236, 311},
{237, 310}, {232, 308}, {233, 309}, {86, 439}, {255, 286}, {254, 287}, {87,
438}, {88, 441}, {89, 440}, {90, 443}, {91, 442}, {92, 445}, {93, 444}, {116,
388}, {117, 389}, {112, 385}, {113, 384}, {114, 387}, {115, 386}, {2, 502}, {3,
503}, {202, 319}, {203, 318}, {2, 501}, {4, 508}, {5, 511}, {3, 504}, {5, 505},
{3, 510}, {2, 509}, {4, 507}, {5, 506}, {4, 512}, {467, 512}, {495, 512}, {496,
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: (2, 5, 3, 4)(7, 8)(9, 11, 10, 12)(13, 16, 14, 15)(17, 20, 18, 19)(21, 25, 22,
28)(23, 27, 24, 26)(29, 36, 30, 33)(31, 35, 32, 34)(37, 40, 38, 39)(42, 45, 43,
44)(46, 52, 49, 50, 47, 53, 48, 51)(54, 60, 56, 59, 55, 61, 57, 58)(62, 67, 65,
68, 63, 66, 64, 69)(70, 75, 73, 76, 71, 74, 72, 77)(78, 83, 80, 84, 79, 82, 81,
85)(86, 91, 88, 92, 87, 90, 89, 93)(94, 99, 97, 101, 95, 98, 96, 100)(102, 104,
103, 105)(106, 108, 107, 109)(110, 113, 114, 117, 111, 112, 115, 116)(118, 122,
120, 125, 119, 123, 121, 124)(126, 131, 128, 132, 127, 130, 129, 133)(134, 142,
140, 148, 135, 143, 141, 149)(136, 145, 139, 147, 137, 144, 138, 146)(150, 165,
154, 160, 151, 164, 155, 161)(152, 159, 157, 162, 153, 158, 156, 163)(166, 171,
167, 172)(168, 170, 169, 173)(174, 178, 175, 180)(176, 181, 177, 179)(182, 188,
185, 186, 183, 189, 184, 187)(190, 195, 193, 196, 191, 194, 192, 197)(198, 209,
203, 210, 199, 208, 202, 211)(200, 206, 205, 212, 201, 207, 204, 213)(214, 222,
216, 229, 215, 223, 217, 228)(218, 225, 221, 227, 219, 224, 220, 226)(230, 237,
233, 234, 231, 236, 232, 235)(238, 242, 241, 245, 239, 243, 240, 244)(246, 251,
249, 253, 247, 250, 248, 252)(254, 262, 261, 269, 255, 263, 260, 268)(256, 264,
258, 266, 257, 265, 259, 267)(270, 272, 276, 274, 271, 273, 277, 275)(278, 284,
280, 283, 279, 285, 281, 282)(286, 295, 297, 289, 287, 294, 296, 288)(290, 301,
293, 299, 291, 300, 292, 298)(302, 311, 308, 313, 303, 310, 309, 312)(304, 317,
306, 314, 305, 316, 307, 315)(318, 320, 332, 327, 319, 321, 333, 326)(322, 331,
325, 328, 323, 330, 324, 329)(334, 346, 337, 349, 335, 347, 336, 348)(338, 345,
340, 342, 339, 344, 341, 343)(350, 357, 352, 355)(351, 356, 353, 354)(358, 365,
360, 363, 359, 364, 361, 362)(366, 371, 368, 372, 367, 370, 369, 373)(374, 385,
378, 388, 375, 384, 379, 389)(376, 387, 380, 382, 377, 386, 381, 383)(390, 398,
396, 405, 391, 399, 397, 404)(392, 400, 394, 403, 393, 401, 395, 402)(406, 414,
417, 412, 407, 415, 416, 413)(408, 419, 411, 420, 409, 418, 410, 421)(422, 424,
430, 436, 423, 425, 431, 437)(426, 432, 428, 435, 427, 433, 429, 434)(438, 443,
440, 444, 439, 442, 441, 445)(446, 451, 453, 449, 447, 450, 452, 448)(454, 459,
457, 461, 455, 458, 456, 460)(462, 463)(465, 468, 466, 467)(469, 473, 471, 475,
470, 474, 472, 476)(477, 485, 487, 480, 478, 486, 488, 479)(481, 491, 483, 489,
482, 492, 484, 490)(493, 498, 494, 495)(496, 500, 497, 499)(501, 506, 504, 508,
502, 505, 503, 507)(509, 511, 510, 512) (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: (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, 83)(84,
85)(86, 87)(88, 89)(90, 91)(92, 93)(94, 95)(96, 97)(98, 99)(100, 101)(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)(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, 311)(312, 313)(314, 315)(316, 317)(318,
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)(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, 447)(448, 449)(450, 451)(452, 453)(454,
455)(456, 457)(458, 459)(460, 461)(469, 470)(471, 472)(473, 474)(475, 476)(477,
478)(479, 480)(481, 482)(483, 484)(485, 486)(487, 488)(489, 490)(491, 492)(501,
502)(503, 504)(505, 506)(507, 508)
c: (1, 6)(2, 20, 3, 19)(4, 17, 5, 18)(7, 462)(8, 463)(9, 102, 10, 103)(11, 104,
12, 105)(13, 106, 14, 107)(15, 109, 16, 108)(21, 29, 22, 30)(23, 32, 24, 31)(25,
36, 28, 33)(26, 35, 27, 34)(37, 512, 38, 511)(39, 510, 40, 509)(41, 464)(42,
468, 43, 467)(44, 465, 45, 466)(46, 460, 49, 459, 47, 461, 48, 458)(50, 457, 53,
455, 51, 456, 52, 454)(54, 469, 56, 471, 55, 470, 57, 472)(58, 476, 60, 473, 59,
475, 61, 474)(62, 73, 65, 71, 63, 72, 64, 70)(66, 77, 69, 75, 67, 76, 68,
74)(78, 439, 80, 441, 79, 438, 81, 440)(82, 443, 85, 444, 83, 442, 84, 445)(86,
97, 88, 95, 87, 96, 89, 94)(90, 100, 93, 99, 91, 101, 92, 98)(110, 270, 114,
276, 111, 271, 115, 277)(112, 273, 116, 275, 113, 272, 117, 274)(118, 250, 120,
252, 119, 251, 121, 253)(122, 248, 125, 246, 123, 249, 124, 247)(126, 244, 128,
242, 127, 245, 129, 243)(130, 239, 133, 240, 131, 238, 132, 241)(134, 349, 140,
347, 135, 348, 141, 346)(136, 345, 139, 342, 137, 344, 138, 343)(142, 335, 148,
336, 143, 334, 149, 337)(144, 341, 146, 338, 145, 340, 147, 339)(150, 330, 154,
329, 151, 331, 155, 328)(152, 319, 157, 333, 153, 318, 156, 332)(158, 320, 163,
327, 159, 321, 162, 326)(160, 322, 164, 325, 161, 323, 165, 324)(166, 174, 167,
175)(168, 176, 169, 177)(170, 181, 173, 179)(171, 178, 172, 180)(182, 190, 185,
193, 183, 191, 184, 192)(186, 196, 189, 194, 187, 197, 188, 195)(198, 217, 203,
214, 199, 216, 202, 215)(200, 220, 205, 218, 201, 221, 204, 219)(206, 226, 212,
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429, 255, 426, 260, 428)(256, 436, 258, 425, 257, 437, 259, 424)(262, 433, 269,
434, 263, 432, 268, 435)(264, 423, 266, 431, 265, 422, 267, 430)(278, 453, 280,
447, 279, 452, 281, 446)(282, 451, 284, 449, 283, 450, 285, 448)(286, 384, 297,
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380, 291, 377, 292, 381)(298, 383, 301, 387, 299, 382, 300, 386)(302, 480, 308,
486, 303, 479, 309, 485)(304, 483, 306, 482, 305, 484, 307, 481)(310, 477, 312,
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367, 359, 369, 361, 366)(362, 371, 365, 372, 363, 370, 364, 373)(390, 412, 396,
415, 391, 413, 397, 414)(392, 409, 394, 410, 393, 408, 395, 411)(398, 407, 405,
416, 399, 406, 404, 417)(400, 418, 403, 421, 401, 419, 402, 420)
d: (1, 46, 447, 51)(2, 379, 485, 45)(3, 380, 148, 58)(4, 43, 489, 387)(5, 54,
136, 384)(6, 456, 283, 458)(7, 394, 446, 398)(8, 396, 273, 400)(9, 333, 322,
12)(10, 331, 311, 189)(11, 184, 304, 321)(13, 195, 286, 345)(14, 15, 340,
349)(16, 335, 291, 190)(17, 297, 312, 468)(18, 299, 347, 472)(19, 466, 306,
293)(20, 476, 338, 295)(21, 198, 275, 249)(22, 240, 285, 214)(23, 200, 255,
218)(24, 241, 435, 248)(25, 222, 266, 211)(26, 225, 284, 242)(27, 252, 274,
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132)(32, 125, 111, 219)(33, 223, 110, 121)(34, 127, 254, 120)(35, 224, 434,
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366)(324, 372, 356, 488)(326, 371, 368, 329)(337, 342, 359, 364)(339, 385, 493,
363)(346, 361, 496, 381)(353, 357, 490, 486)(378, 386, 500, 495)
e: (1, 21)(2, 13)(3, 174)(4, 166)(5, 9)(6, 33)(7, 27)(8, 36)(10, 500)(11,
43)(12, 355)(14, 498)(15, 44)(16, 353)(17, 109)(18, 171)(19, 180)(20, 105)(22,
462)(23, 509)(24, 511)(25, 37)(26, 41)(28, 40)(29, 510)(30, 512)(31, 464)(32,
463)(34, 39)(35, 38)(42, 170)(45, 179)(46, 247)(47, 246)(48, 212)(49, 213)(50,
226)(51, 227)(52, 240)(53, 241)(54, 94)(55, 95)(56, 190)(57, 191)(58, 182)(59,
183)(60, 89)(61, 88)(62, 74)(63, 75)(64, 82)(65, 83)(68, 442)(69, 443)(70,
81)(71, 80)(76, 439)(77, 438)(84, 440)(85, 441)(86, 373)(87, 372)(90, 364)(91,
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381)(346, 379)(347, 378)(348, 491)(349, 492)(430, 450)(431, 451)(432, 437)(433,
436)
f: (2, 3)(4, 5)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 22)(23,
24)(25, 28)(26, 27)(29, 30)(31, 32)(33, 36)(34, 35)(37, 38)(39, 40)(42, 43)(44,
45)(46, 49, 47, 48)(50, 53, 51, 52)(54, 56, 55, 57)(58, 60, 59, 61)(62, 65, 63,
64)(66, 69, 67, 68)(70, 73, 71, 72)(74, 77, 75, 76)(78, 80, 79, 81)(82, 85, 83,
84)(86, 88, 87, 89)(90, 93, 91, 92)(94, 97, 95, 96)(98, 100, 99, 101)(102,
103)(104, 105)(106, 107)(108, 109)(110, 114, 111, 115)(112, 116, 113, 117)(118,
120, 119, 121)(122, 125, 123, 124)(126, 128, 127, 129)(130, 133, 131, 132)(134,
140, 135, 141)(136, 139, 137, 138)(142, 148, 143, 149)(144, 146, 145, 147)(150,
154, 151, 155)(152, 157, 153, 156)(158, 163, 159, 162)(160, 164, 161, 165)(166,
167)(168, 169)(170, 173)(171, 172)(174, 175)(176, 177)(178, 180)(179, 181)(182,
185, 183, 184)(186, 189, 187, 188)(190, 193, 191, 192)(194, 197, 195, 196)(198,
203, 199, 202)(200, 205, 201, 204)(206, 212, 207, 213)(208, 211, 209, 210)(214,
216, 215, 217)(218, 221, 219, 220)(222, 229, 223, 228)(224, 226, 225, 227)(230,
233, 231, 232)(234, 236, 235, 237)(238, 241, 239, 240)(242, 245, 243, 244)(246,
249, 247, 248)(250, 252, 251, 253)(254, 261, 255, 260)(256, 258, 257, 259)(262,
269, 263, 268)(264, 266, 265, 267)(270, 276, 271, 277)(272, 274, 273, 275)(278,
280, 279, 281)(282, 284, 283, 285)(286, 297, 287, 296)(288, 295, 289, 294)(290,
293, 291, 292)(298, 301, 299, 300)(302, 308, 303, 309)(304, 306, 305, 307)(310,
312, 311, 313)(314, 316, 315, 317)(318, 332, 319, 333)(320, 327, 321, 326)(322,
325, 323, 324)(328, 330, 329, 331)(334, 337, 335, 336)(338, 340, 339, 341)(342,
344, 343, 345)(346, 349, 347, 348)(350, 352)(351, 353)(354, 356)(355, 357)(358,
360, 359, 361)(362, 365, 363, 364)(366, 368, 367, 369)(370, 373, 371, 372)(374,
378, 375, 379)(376, 380, 377, 381)(382, 386, 383, 387)(384, 389, 385, 388)(390,
396, 391, 397)(392, 394, 393, 395)(398, 405, 399, 404)(400, 403, 401, 402)(406,
417, 407, 416)(408, 411, 409, 410)(412, 415, 413, 414)(418, 421, 419, 420)(422,
430, 423, 431)(424, 436, 425, 437)(426, 428, 427, 429)(432, 435, 433, 434)(438,
440, 439, 441)(442, 445, 443, 444)(446, 453, 447, 452)(448, 451, 449, 450)(454,
457, 455, 456)(458, 460, 459, 461)(465, 466)(467, 468)(469, 471, 470, 472)(473,
475, 474, 476)(477, 487, 478, 488)(479, 485, 480, 486)(481, 483, 482, 484)(489,
492, 490, 491)(493, 494)(495, 498)(496, 497)(499, 500)(501, 504, 502, 503)(505,
507, 506, 508)(509, 510)(511, 512)
g: (2, 3)(7, 8)(9, 10)(15, 16)(17, 18)(21, 23)(22, 24)(25, 26)(27, 28)(29,
31)(30, 32)(33, 35)(34, 36)(37, 38)(42, 43)(46, 49)(47, 48)(50, 51)(54, 56)(55,
57)(58, 59)(62, 65)(63, 64)(68, 69)(70, 71)(74, 77)(75, 76)(78, 79)(82, 85)(83,
84)(86, 88)(87, 89)(92, 93)(94, 95)(98, 100)(99, 101)(104, 105)(106, 107)(110,
116)(111, 117)(112, 114)(113, 115)(118, 119)(122, 125)(123, 124)(126, 129)(127,
128)(130, 131)(134, 138)(135, 139)(136, 141)(137, 140)(142, 144)(143, 145)(146,
149)(147, 148)(150, 157)(151, 156)(152, 154)(153, 155)(158, 164)(159, 165)(160,
163)(161, 162)(166, 169)(167, 168)(170, 171)(172, 173)(174, 176)(175, 177)(178,
179)(180, 181)(182, 184)(183, 185)(188, 189)(190, 191)(194, 197)(195, 196)(198,
205)(199, 204)(200, 203)(201, 202)(206, 209)(207, 208)(210, 213)(211, 212)(214,
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253)(254, 258)(255, 259)(256, 261)(257, 260)(262, 264)(263, 265)(266, 268)(267,
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317)(318, 331)(319, 330)(320, 322)(321, 323)(324, 327)(325, 326)(328, 333)(329,
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492)(488, 491)(493, 499)(494, 500)(495, 496)(497, 498)(501, 504)(502, 503)(507,
508)(509, 510)
h: (1, 7)(2, 353)(3, 351)(4, 357)(5, 355)(6, 463)(8, 464)(9, 174)(10, 175)(11,
179)(12, 181)(13, 166)(14, 167)(15, 170)(16, 173)(17, 494)(18, 493)(19, 497)(20,
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444)(86, 192)(87, 193)(88, 191)(89, 190)(90, 194)(91, 195)(92, 197)(93, 196)(94,
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168)(103, 169)(104, 172)(105, 171)(106, 177)(107, 176)(108, 178)(109, 180)(112,
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435)(432, 437)(433, 436)(446, 447)(479, 491)(480, 492)(485, 490)(486, 489)
C4[ 512, 649 ]
512
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-2 1 509 501 502
-3 1 510 503 504
-4 1 507 508 512
-5 506 1 511 505
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