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