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On this page are computer-accessible forms for the graph C4[ 512, 286 ] =
UG(ATD[512,671]).
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {20, 21}, {50, 51}, {1, 3}, {93, 95}, {233, 235}, {285, 287}, {1,
5}, {427, 431}, {170, 174}, {72, 76}, {32, 36}, {35, 38}, {499, 502}, {490,
495}, {482, 487}, {419, 422}, {168, 173}, {104, 109}, {307, 310}, {1, 7}, {459,
461}, {384, 390}, {347, 349}, {131, 133}, {106, 108}, {16, 23}, {320, 327}, {22,
30}, {500, 508}, {481, 489}, {167, 175}, {2, 11}, {483, 490}, {455, 462}, {453,
460}, {118, 127}, {3, 9}, {148, 158}, {278, 284}, {194, 201}, {343, 348}, {277,
286}, {1, 13}, {484, 488}, {384, 396}, {196, 200}, {2, 15}, {102, 107}, {36,
42}, {454, 456}, {391, 393}, {275, 285}, {147, 156}, {497, 510}, {389, 394},
{341, 346}, {229, 234}, {276, 283}, {3, 19}, {364, 380}, {15, 31}, {11, 26}, {5,
23}, {495, 509}, {36, 54}, {9, 27}, {299, 312}, {486, 501}, {5, 17}, {424, 444},
{332, 344}, {170, 190}, {168, 189}, {490, 511}, {487, 498}, {331, 350}, {322,
343}, {14, 24}, {2, 21}, {428, 443}, {423, 432}, {392, 415}, {142, 150}, {489,
497}, {488, 496}, {4, 29}, {169, 176}, {6, 31}, {76, 86}, {75, 80}, {321, 349},
{42, 55}, {363, 374}, {7, 25}, {485, 507}, {175, 177}, {38, 56}, {300, 306},
{10, 21}, {173, 178}, {5, 37}, {22, 54}, {2, 35}, {3, 33}, {328, 362}, {202,
232}, {83, 113}, {22, 52}, {4, 39}, {327, 356}, {31, 60}, {15, 44}, {25, 61},
{461, 489}, {80, 116}, {27, 63}, {86, 115}, {339, 374}, {13, 43}, {391, 417},
{390, 416}, {17, 55}, {16, 54}, {29, 58}, {389, 418}, {264, 303}, {7, 47}, {385,
425}, {340, 380}, {462, 487}, {8, 34}, {468, 510}, {66, 104}, {19, 57}, {208,
250}, {88, 115}, {452, 495}, {272, 315}, {11, 39}, {81, 125}, {23, 59}, {12,
33}, {463, 482}, {64, 109}, {13, 32}, {66, 108}, {210, 252}, {6, 41}, {386,
429}, {28, 51}, {7, 40}, {150, 166}, {465, 481}, {405, 421}, {271, 319}, {4,
53}, {474, 491}, {466, 483}, {136, 185}, {18, 35}, {221, 236}, {450, 496}, {478,
492}, {451, 497}, {6, 53}, {477, 494}, {462, 509}, {460, 511}, {449, 498}, {214,
229}, {464, 484}, {473, 493}, {472, 492}, {67, 118}, {204, 249}, {199, 242},
{149, 160}, {206, 251}, {406, 416}, {4, 51}, {459, 508}, {405, 418}, {73, 126},
{21, 34}, {9, 49}, {469, 493}, {448, 504}, {330, 370}, {195, 251}, {130, 186},
{222, 230}, {256, 312}, {258, 314}, {71, 126}, {471, 494}, {329, 368}, {270,
311}, {12, 54}, {460, 502}, {262, 316}, {266, 304}, {11, 48}, {91, 96}, {84,
111}, {24, 35}, {14, 53}, {283, 288}, {17, 45}, {455, 507}, {269, 305}, {8, 53},
{470, 491}, {462, 499}, {456, 501}, {69, 120}, {260, 313}, {269, 304}, {22, 40},
{200, 246}, {78, 112}, {68, 122}, {213, 235}, {259, 317}, {77, 114}, {257, 318},
{9, 73}, {13, 77}, {15, 78}, {445, 508}, {189, 252}, {185, 248}, {128, 193},
{19, 82}, {266, 331}, {299, 362}, {156, 222}, {151, 212}, {158, 221}, {16, 84},
{393, 461}, {134, 194}, {43, 111}, {264, 332}, {261, 320}, {447, 506}, {439,
498}, {263, 322}, {49, 119}, {57, 127}, {18, 85}, {408, 479}, {400, 471}, {151,
208}, {128, 199}, {12, 68}, {446, 502}, {440, 496}, {403, 475}, {157, 213},
{156, 212}, {265, 321}, {300, 356}, {48, 121}, {294, 367}, {55, 125}, {8, 67},
{404, 479}, {153, 210}, {288, 363}, {29, 81}, {415, 467}, {407, 475}, {176,
252}, {6, 75}, {399, 450}, {162, 239}, {158, 211}, {155, 214}, {132, 201}, {134,
200}, {186, 244}, {10, 69}, {178, 253}, {420, 500}, {397, 476}, {256, 338},
{298, 377}, {138, 222}, {400, 452}, {154, 206}, {152, 204}, {293, 369}, {18,
71}, {174, 251}, {62, 107}, {263, 338}, {399, 473}, {30, 73}, {139, 220}, {291,
372}, {265, 337}, {435, 491}, {62, 103}, {436, 493}, {394, 467}, {47, 117}, {52,
110}, {297, 371}, {10, 81}, {32, 123}, {26, 65}, {434, 494}, {14, 83}, {445,
480}, {433, 492}, {44, 113}, {17, 79}, {438, 488}, {45, 115}, {20, 74}, {292,
378}, {137, 214}, {437, 490}, {406, 457}, {270, 337}, {12, 108}, {442, 474},
{283, 379}, {310, 342}, {285, 380}, {441, 472}, {411, 506}, {407, 501}, {446,
476}, {8, 107}, {410, 505}, {408, 507}, {24, 124}, {431, 459}, {413, 505}, {412,
504}, {403, 503}, {387, 487}, {167, 195}, {46, 75}, {52, 82}, {10, 109}, {36,
76}, {152, 240}, {150, 254}, {286, 374}, {162, 203}, {414, 503}, {164, 205},
{284, 373}, {131, 233}, {143, 228}, {155, 240}, {37, 72}, {404, 505}, {388,
489}, {169, 196}, {133, 232}, {41, 71}, {420, 458}, {409, 503}, {398, 480},
{161, 207}, {308, 346}, {43, 91}, {44, 93}, {271, 382}, {19, 97}, {163, 209},
{161, 211}, {157, 239}, {145, 227}, {52, 70}, {45, 95}, {26, 105}, {56, 75},
{41, 90}, {23, 99}, {444, 456}, {398, 506}, {316, 328}, {392, 509}, {417, 468},
{397, 504}, {394, 511}, {33, 87}, {142, 249}, {443, 460}, {432, 455}, {261,
381}, {394, 498}, {390, 510}, {51, 74}, {393, 496}, {190, 199}, {262, 383},
{186, 192}, {441, 451}, {280, 354}, {31, 100}, {442, 449}, {138, 241}, {25,
101}, {137, 245}, {37, 89}, {27, 103}, {61, 64}, {63, 65}, {29, 98}, {185, 198},
{39, 88}, {279, 360}, {296, 424}, {327, 455}, {311, 438}, {288, 418}, {309,
439}, {34, 161}, {328, 459}, {16, 148}, {59, 191}, {57, 189}, {49, 181}, {305,
437}, {38, 163}, {335, 458}, {290, 423}, {263, 385}, {336, 470}, {316, 442},
{18, 149}, {48, 183}, {91, 211}, {360, 480}, {123, 243}, {260, 396}, {267, 387},
{301, 421}, {93, 212}, {105, 224}, {258, 395}, {40, 162}, {80, 218}, {289, 427},
{293, 431}, {26, 145}, {124, 247}, {90, 209}, {66, 201}, {46, 165}, {265, 386},
{294, 429}, {295, 428}, {55, 187}, {111, 227}, {293, 425}, {42, 164}, {116,
250}, {86, 217}, {98, 242}, {373, 485}, {100, 244}, {257, 401}, {272, 384},
{292, 436}, {308, 420}, {259, 402}, {335, 478}, {291, 434}, {119, 229}, {371,
481}, {120, 235}, {30, 138}, {89, 205}, {113, 228}, {273, 388}, {25, 143}, {347,
461}, {65, 215}, {287, 393}, {28, 139}, {372, 483}, {349, 458}, {97, 246}, {88,
207}, {127, 231}, {297, 433}, {32, 185}, {298, 435}, {99, 248}, {377, 482},
{123, 224}, {27, 135}, {87, 203}, {47, 179}, {281, 389}, {301, 433}, {14, 147},
{379, 486}, {89, 196}, {66, 223}, {28, 129}, {20, 137}, {282, 391}, {294, 443},
{302, 435}, {343, 457}, {378, 484}, {48, 144}, {373, 469}, {24, 186}, {380,
478}, {340, 502}, {92, 254}, {46, 141}, {348, 511}, {94, 253}, {110, 202}, {124,
216}, {355, 454}, {64, 231}, {348, 507}, {342, 497}, {274, 437}, {70, 238}, {72,
225}, {374, 477}, {309, 409}, {361, 453}, {344, 500}, {350, 499}, {379, 470},
{94, 240}, {366, 448}, {347, 501}, {319, 400}, {339, 508}, {43, 155}, {281,
425}, {44, 157}, {102, 215}, {45, 159}, {118, 196}, {106, 216}, {41, 154}, {324,
503}, {105, 218}, {92, 239}, {49, 130}, {97, 213}, {99, 215}, {275, 423}, {315,
399}, {33, 151}, {334, 504}, {73, 255}, {61, 139}, {306, 388}, {282, 429}, {333,
506}, {364, 468}, {122, 195}, {50, 136}, {353, 475}, {341, 495}, {323, 505},
{101, 223}, {59, 129}, {268, 438}, {278, 428}, {60, 135}, {359, 476}, {100,
223}, {312, 387}, {37, 153}, {103, 219}, {101, 217}, {63, 131}, {47, 146}, {354,
479}, {277, 424}, {338, 492}, {39, 152}, {337, 494}, {98, 221}, {58, 133}, {276,
427}, {287, 416}, {326, 390}, {70, 135}, {106, 171}, {79, 142}, {92, 159}, {345,
410}, {69, 129}, {121, 189}, {303, 491}, {331, 396}, {376, 447}, {351, 408},
{57, 241}, {367, 423}, {59, 243}, {284, 468}, {94, 148}, {321, 395}, {102, 172},
{60, 247}, {117, 190}, {68, 143}, {355, 431}, {366, 418}, {65, 140}, {365, 416},
{325, 392}, {273, 476}, {286, 467}, {58, 245}, {92, 147}, {267, 475}, {359,
438}, {40, 250}, {351, 397}, {67, 145}, {20, 199}, {378, 425}, {322, 401}, {46,
253}, {268, 479}, {305, 482}, {270, 474}, {377, 429}, {353, 437}, {28, 201},
{269, 472}, {30, 200}, {362, 444}, {42, 252}, {306, 484}, {311, 481}, {85, 141},
{358, 446}, {256, 473}, {376, 417}, {369, 424}, {361, 432}, {56, 226}, {344,
386}, {87, 141}, {76, 150}, {34, 249}, {368, 427}, {312, 483}, {38, 251}, {371,
430}, {352, 445}, {288, 509}, {304, 493}, {62, 224}, {372, 426}, {370, 428},
{332, 402}, {50, 237}, {356, 443}, {350, 385}, {330, 426}, {116, 149}, {345,
440}, {110, 140}, {336, 434}, {112, 147}, {314, 473}, {79, 171}, {120, 156},
{90, 190}, {318, 474}, {61, 216}, {346, 447}, {109, 136}, {317, 472}, {114,
148}, {376, 414}, {354, 388}, {78, 169}, {329, 430}, {296, 463}, {302, 457},
{375, 415}, {119, 158}, {77, 167}, {369, 411}, {325, 430}, {375, 412}, {360,
387}, {357, 398}, {110, 130}, {381, 401}, {326, 426}, {291, 463}, {375, 410},
{383, 402}, {95, 177}, {368, 414}, {313, 471}, {370, 413}, {117, 133}, {274,
480}, {358, 404}, {357, 407}, {290, 464}, {69, 182}, {367, 412}, {366, 413},
{352, 403}, {289, 466}, {302, 477}, {62, 202}, {365, 409}, {89, 173}, {90, 175},
{382, 395}, {329, 444}, {96, 149}, {292, 465}, {295, 465}, {365, 411}, {336,
422}, {310, 448}, {67, 180}, {383, 392}, {298, 466}, {350, 422}, {301, 469},
{313, 449}, {58, 195}, {85, 172}, {60, 197}, {297, 464}, {314, 451}, {319, 454},
{320, 441}, {122, 128}, {381, 391}, {330, 432}, {318, 452}, {71, 188}, {382,
389}, {335, 436}, {127, 132}, {107, 144}, {93, 166}, {83, 168}, {68, 184}, {344,
421}, {63, 193}, {108, 146}, {94, 160}, {91, 165}, {84, 170}, {315, 453}, {121,
134}, {348, 419}, {317, 450}, {146, 406}, {194, 454}, {144, 405}, {214, 465},
{96, 363}, {222, 466}, {140, 385}, {221, 464}, {206, 448}, {118, 357}, {246,
485}, {56, 300}, {242, 486}, {119, 353}, {126, 361}, {121, 352}, {234, 499},
{213, 463}, {122, 358}, {125, 355}, {120, 359}, {112, 336}, {104, 330}, {234,
457}, {245, 470}, {241, 469}, {180, 401}, {116, 338}, {132, 419}, {246, 478},
{255, 471}, {204, 485}, {227, 458}, {50, 280}, {184, 402}, {117, 351}, {232,
453}, {188, 403}, {242, 477}, {244, 452}, {243, 450}, {187, 397}, {208, 486},
{247, 449}, {179, 395}, {183, 396}, {248, 451}, {114, 335}, {97, 289}, {192,
384}, {99, 291}, {248, 440}, {103, 293}, {111, 301}, {228, 422}, {230, 420},
{244, 439}, {98, 295}, {228, 417}, {86, 272}, {74, 269}, {211, 411}, {126, 311},
{212, 413}, {79, 261}, {209, 410}, {77, 257}, {125, 305}, {233, 421}, {78, 259},
{100, 297}, {193, 399}, {236, 419}, {84, 260}, {87, 263}, {70, 279}, {123, 298},
{88, 265}, {83, 258}, {81, 256}, {232, 441}, {224, 434}, {85, 262}, {95, 267},
{205, 409}, {207, 408}, {124, 292}, {82, 270}, {203, 407}, {115, 303}, {80,
271}, {113, 302}, {74, 299}, {178, 467}, {72, 299}, {215, 435}, {210, 439},
{216, 433}, {223, 436}, {226, 398}, {208, 445}, {210, 447}, {240, 414}, {102,
278}, {96, 273}, {101, 276}, {204, 446}, {64, 307}, {239, 412}, {219, 430},
{225, 404}, {206, 440}, {220, 426}, {231, 400}, {194, 442}, {105, 275}, {227,
415}, {82, 300}, {106, 277}, {220, 349}, {198, 324}, {225, 355}, {192, 323},
{197, 326}, {157, 280}, {159, 281}, {193, 327}, {164, 290}, {209, 342}, {153,
275}, {237, 359}, {163, 296}, {197, 334}, {226, 361}, {155, 279}, {219, 343},
{154, 277}, {238, 353}, {171, 315}, {254, 364}, {169, 314}, {172, 319}, {170,
318}, {168, 317}, {203, 339}, {205, 341}, {217, 320}, {207, 340}, {167, 313},
{138, 296}, {238, 332}, {247, 341}, {180, 272}, {174, 267}, {241, 340}, {243,
342}, {226, 324}, {245, 339}, {137, 290}, {139, 294}, {177, 287}, {225, 334},
{231, 328}, {237, 322}, {171, 283}, {172, 285}, {235, 346}, {164, 278}, {183,
261}, {233, 347}, {128, 308}, {134, 307}, {179, 262}, {131, 309}, {181, 259},
{163, 276}, {184, 271}, {182, 257}, {197, 381}, {198, 383}, {154, 289}, {173,
273}, {176, 268}, {229, 345}, {141, 304}, {175, 274}, {153, 295}, {165, 282},
{191, 382}, {174, 364}, {135, 323}, {177, 373}, {129, 324}, {140, 329}, {136,
333}, {218, 284}, {217, 286}, {178, 379}, {130, 334}, {255, 306}, {162, 370},
{255, 303}, {161, 368}, {187, 362}, {165, 372}, {219, 266}, {183, 357}, {230,
309}, {180, 352}, {182, 354}, {220, 264}, {179, 358}, {188, 356}, {160, 377},
{234, 307}, {192, 282}, {236, 310}, {176, 363}, {166, 378}, {132, 345}, {181,
360}, {142, 337}, {198, 281}, {143, 365}, {166, 325}, {112, 406}, {160, 326},
{218, 316}, {114, 405}, {184, 351}, {144, 375}, {152, 369}, {237, 260}, {104,
386}, {146, 376}, {159, 371}, {238, 258}, {254, 274}, {250, 266}, {188, 333},
{249, 264}, {253, 268}, {191, 333}, {181, 321}, {151, 367}, {187, 323}, {191,
325}, {236, 279}, {182, 331}, {202, 308}, {230, 280}, {145, 366}, {456, 512},
{488, 512}, {500, 512}, {510, 512} }>;
(II) A more general form is to represent the graph as the orbit of {20, 21}
under the group generated by the following permutations:
a: (1, 3, 9, 27, 63, 131, 233, 347, 461, 393, 287, 177, 95, 45, 17, 5)(2, 4, 10,
28, 64, 132, 234, 348, 462, 394, 288, 178, 96, 46, 18, 6)(7, 19, 49, 103, 193,
309, 421, 501, 489, 391, 285, 175, 93, 115, 55, 23)(8, 20, 50, 104, 194, 310,
422, 502, 490, 392, 286, 176, 94, 116, 56, 24)(11, 29, 69, 139, 231, 345, 457,
507, 487, 389, 283, 173, 91, 141, 71, 31)(12, 30, 70, 140, 232, 346, 458, 508,
488, 390, 284, 174, 92, 142, 72, 32)(13, 33, 73, 135, 65, 133, 235, 349, 459,
496, 416, 373, 267, 159, 79, 37)(14, 34, 74, 136, 66, 134, 236, 350, 460, 495,
415, 374, 268, 160, 80, 38)(15, 39, 81, 129, 61, 127, 229, 343, 455, 498, 418,
379, 273, 165, 85, 41)(16, 40, 82, 130, 62, 128, 230, 344, 456, 497, 417, 380,
274, 166, 86, 42)(21, 51, 109, 201, 307, 419, 499, 511, 509, 467, 363, 253, 149,
75, 35, 53)(22, 52, 110, 202, 308, 420, 500, 512, 510, 468, 364, 254, 150, 76,
36, 54)(25, 57, 119, 219, 327, 439, 405, 486, 388, 282, 172, 90, 44, 88, 125,
59)(26, 58, 120, 220, 328, 440, 406, 485, 387, 281, 171, 89, 43, 87, 126,
60)(47, 97, 181, 293, 399, 409, 301, 407, 481, 381, 275, 167, 212, 303, 187,
99)(48, 98, 182, 294, 400, 410, 302, 408, 482, 382, 276, 168, 211, 304, 188,
100)(67, 137, 237, 330, 442, 448, 336, 446, 483, 383, 277, 169, 240, 338, 226,
124)(68, 138, 238, 329, 441, 447, 335, 445, 484, 384, 278, 170, 239, 337, 225,
123)(77, 151, 255, 323, 215, 117, 213, 321, 431, 450, 365, 469, 475, 371, 261,
153)(78, 152, 256, 324, 216, 118, 214, 322, 432, 449, 366, 470, 476, 372, 262,
154)(83, 161, 269, 333, 223, 121, 221, 331, 443, 452, 375, 477, 479, 377, 271,
163)(84, 162, 270, 334, 224, 122, 222, 332, 444, 451, 376, 478, 480, 378, 272,
164)(101, 189, 158, 266, 356, 244, 144, 242, 354, 429, 319, 209, 113, 207, 305,
191)(102, 190, 157, 265, 355, 243, 143, 241, 353, 430, 320, 210, 114, 208, 306,
192)(105, 195, 156, 264, 362, 248, 146, 246, 360, 425, 315, 205, 111, 203, 311,
197)(106, 196, 155, 263, 361, 247, 145, 245, 359, 426, 316, 206, 112, 204, 312,
198)(107, 199, 280, 386, 454, 342, 228, 340, 437, 325, 217, 252, 148, 250, 300,
186)(108, 200, 279, 385, 453, 341, 227, 339, 438, 326, 218, 251, 147, 249, 299,
185)(179, 289, 259, 369, 473, 503, 433, 357, 465, 401, 423, 313, 413, 491, 397,
291)(180, 290, 260, 370, 474, 504, 434, 358, 466, 402, 424, 314, 414, 492, 398,
292)(183, 295, 257, 367, 471, 505, 435, 351, 463, 395, 427, 317, 411, 493, 403,
297)(184, 296, 258, 368, 472, 506, 436, 352, 464, 396, 428, 318, 412, 494, 404,
298) (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, 511)(3, 13, 7, 5)(4, 455, 8, 499)(6, 509, 14, 487)(9, 77, 25, 37)(10,
443, 26, 343)(11, 348, 21, 460)(12, 36, 22, 16)(15, 490, 35, 394)(17, 19, 43,
47)(18, 389, 44, 483)(20, 453, 48, 419)(23, 33, 32, 40)(24, 498, 31, 495)(27,
257, 61, 153)(28, 423, 62, 331)(29, 327, 67, 234)(30, 148, 68, 76)(34, 502, 39,
507)(38, 467, 78, 437)(41, 288, 83, 387)(42, 52, 84, 108)(45, 97, 91, 179)(46,
383, 92, 463)(49, 167, 101, 89)(50, 330, 102, 385)(51, 432, 107, 350)(53,
462)(55, 82, 111, 146)(56, 415, 112, 305)(57, 155, 117, 79)(58, 320, 118,
229)(59, 151, 123, 250)(60, 452, 124, 439)(63, 401, 64, 295)(65, 322, 109,
428)(66, 164, 110, 260)(69, 294, 105, 219)(70, 170, 106, 252)(71, 418, 113,
312)(72, 73, 114, 143)(74, 361, 144, 422)(75, 392, 147, 482)(80, 325, 156,
377)(81, 356, 145, 457)(85, 281, 157, 372)(86, 200, 158, 122)(87, 185, 162,
99)(88, 485, 161, 446)(90, 283, 168, 360)(93, 466, 149, 382)(94, 184, 150,
138)(95, 289, 96, 395)(98, 193, 180, 307)(100, 341, 186, 449)(103, 182, 139,
275)(104, 278, 140, 237)(115, 246, 211, 358)(116, 191, 212, 298)(119, 195, 217,
196)(120, 429, 218, 430)(121, 236, 199, 315)(125, 300, 227, 406)(126, 405, 228,
299)(127, 214, 133, 261)(128, 272, 134, 221)(129, 367, 224, 266)(130, 313, 223,
205)(131, 381, 231, 465)(132, 137, 232, 183)(135, 318, 216, 210)(136, 370, 215,
263)(141, 198, 239, 291)(142, 241, 240, 351)(152, 408, 249, 340)(154, 363, 258,
267)(159, 213, 165, 262)(160, 271, 166, 222)(163, 178, 259, 274)(169, 353, 251,
286)(171, 189, 279, 190)(172, 425, 280, 426)(173, 181, 175, 276)(174, 277, 176,
238)(177, 427, 273, 321)(187, 270, 301, 376)(188, 366, 302, 256)(192, 442, 297,
346)(194, 464, 308, 384)(197, 400, 292, 309)(201, 290, 202, 396)(203, 248)(204,
207)(206, 374, 314, 475)(208, 243)(209, 379, 317, 480)(220, 285, 293, 354)(225,
255, 335, 365)(226, 375, 336, 269)(230, 326, 319, 378)(233, 391, 328, 481)(235,
282, 316, 371)(242, 399, 352, 310)(244, 247)(245, 441, 357, 345)(253, 402, 254,
296)(264, 380, 369, 479)(265, 373, 368, 476)(268, 332, 364, 424)(284, 329, 359,
386)(287, 431, 388, 349)(303, 478, 411, 404)(304, 324, 412, 434)(306, 458, 416,
355)(311, 421, 417, 362)(323, 474, 433, 447)(333, 413, 435, 338)(334, 471, 436,
409)(337, 469, 414, 397)(339, 451, 407, 440)(342, 486, 450, 445)(344, 468, 444,
438)(347, 393, 459, 489)(390, 454, 484, 420)(398, 410, 470, 472)(403, 448, 477,
473)(456, 488, 500, 510)(491, 492, 506, 505)(493, 503, 504, 494)(496, 508, 497,
501)
c: (1, 2)(3, 11)(4, 12)(5, 15)(6, 16)(7, 21)(8, 22)(9, 26)(10, 25)(13, 35)(14,
36)(17, 44)(18, 43)(19, 48)(20, 47)(23, 31)(24, 32)(27, 65)(28, 66)(29, 68)(30,
67)(33, 39)(34, 40)(37, 78)(38, 77)(41, 84)(42, 83)(45, 93)(46, 94)(49, 105)(50,
106)(51, 108)(52, 107)(53, 54)(55, 113)(56, 114)(57, 121)(58, 122)(59, 100)(60,
99)(61, 109)(62, 110)(69, 101)(70, 102)(71, 111)(72, 112)(73, 145)(74, 146)(75,
148)(76, 147)(79, 157)(80, 158)(81, 143)(82, 144)(85, 155)(86, 156)(87, 152)(88,
151)(89, 169)(90, 170)(91, 149)(92, 150)(97, 183)(98, 184)(103, 140)(104,
139)(115, 212)(116, 211)(117, 199)(118, 200)(119, 218)(120, 217)(123, 186)(124,
185)(125, 228)(126, 227)(127, 134)(128, 133)(129, 223)(130, 224)(131, 193)(132,
194)(135, 215)(136, 216)(137, 179)(138, 180)(141, 240)(142, 239)(153, 259)(154,
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471)(459, 499)(460, 500)(461, 462)(489, 509)(490, 510)(491, 505)(492, 506)(493,
503)(494, 504)(495, 497)(496, 498)(501, 507)(502, 508)(511, 512)
d: (3, 5)(4, 6)(7, 13)(8, 14)(9, 17)(10, 18)(11, 15)(12, 16)(19, 37)(20, 38)(21,
35)(22, 36)(23, 33)(24, 34)(25, 43)(26, 44)(27, 45)(28, 46)(29, 41)(30, 42)(31,
39)(32, 40)(47, 77)(48, 78)(49, 79)(50, 80)(51, 75)(52, 76)(55, 73)(56, 74)(57,
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148)(109, 149)(110, 150)(111, 143)(112, 144)(113, 145)(114, 146)(115, 135)(116,
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161)(125, 126)(127, 173)(128, 174)(129, 141)(130, 142)(131, 177)(132, 178)(133,
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490)(491, 505)(492, 506)(493, 503)(494, 504)(495, 502)(496, 501)(497, 508)(498,
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e: (3, 7)(4, 8)(5, 13)(6, 14)(9, 25)(10, 26)(11, 21)(12, 22)(15, 35)(16, 36)(17,
43)(18, 44)(19, 47)(20, 48)(23, 32)(24, 31)(27, 61)(28, 62)(29, 67)(30, 68)(33,
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147)(76, 148)(79, 155)(80, 156)(81, 145)(82, 146)(85, 157)(86, 158)(87, 162)(88,
161)(89, 167)(90, 168)(93, 149)(94, 150)(95, 96)(97, 179)(98, 180)(99, 185)(100,
186)(103, 139)(104, 140)(115, 211)(116, 212)(119, 217)(120, 218)(121, 199)(122,
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485)(447, 474)(448, 473)(455, 499)(456, 500)(487, 509)(488, 510)(491, 506)(492,
505)(493, 504)(494, 503)(495, 498)(496, 497)(501, 508)(502, 507)
C4[ 512, 286 ]
512
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0