Graph forms
for C4 [ 506, 2 ] = C_506(1,45)
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On this page are computer-accessible forms for the graph C4[ 506, 2 ] =
C_506(1,45).
(I) Following is a form readable by MAGMA:
g:=Graph<506|{ {2, 3}, {504, 505}, {502, 503}, {500, 501}, {498, 499}, {496,
497}, {494, 495}, {492, 493}, {490, 491}, {488, 489}, {486, 487}, {484, 485},
{482, 483}, {480, 481}, {478, 479}, {476, 477}, {474, 475}, {472, 473}, {470,
471}, {468, 469}, {466, 467}, {464, 465}, {462, 463}, {460, 461}, {458, 459},
{456, 457}, {454, 455}, {452, 453}, {450, 451}, {448, 449}, {446, 447}, {444,
445}, {442, 443}, {440, 441}, {438, 439}, {436, 437}, {434, 435}, {432, 433},
{430, 431}, {428, 429}, {426, 427}, {424, 425}, {422, 423}, {420, 421}, {418,
419}, {416, 417}, {414, 415}, {412, 413}, {410, 411}, {408, 409}, {406, 407},
{404, 405}, {402, 403}, {400, 401}, {398, 399}, {396, 397}, {394, 395}, {392,
393}, {390, 391}, {388, 389}, {386, 387}, {384, 385}, {382, 383}, {380, 381},
{378, 379}, {376, 377}, {374, 375}, {372, 373}, {370, 371}, {368, 369}, {366,
367}, {364, 365}, {204, 205}, {202, 203}, {200, 201}, {198, 199}, {196, 197},
{194, 195}, {192, 193}, {190, 191}, {188, 189}, {186, 187}, {184, 185}, {182,
183}, {180, 181}, {178, 179}, {176, 177}, {174, 175}, {172, 173}, {170, 171},
{168, 169}, {166, 167}, {164, 165}, {162, 163}, {160, 161}, {158, 159}, {156,
157}, {154, 155}, {152, 153}, {150, 151}, {148, 149}, {146, 147}, {144, 145},
{142, 143}, {140, 141}, {138, 139}, {136, 137}, {134, 135}, {132, 133}, {130,
131}, {128, 129}, {126, 127}, {124, 125}, {122, 123}, {120, 121}, {118, 119},
{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}, {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}, {1, 2}, {505, 506}, {501, 502}, {497, 498},
{493, 494}, {489, 490}, {485, 486}, {481, 482}, {477, 478}, {473, 474}, {469,
470}, {465, 466}, {461, 462}, {457, 458}, {453, 454}, {449, 450}, {445, 446},
{441, 442}, {437, 438}, {433, 434}, {429, 430}, {425, 426}, {421, 422}, {417,
418}, {413, 414}, {409, 410}, {405, 406}, {401, 402}, {397, 398}, {393, 394},
{389, 390}, {385, 386}, {381, 382}, {377, 378}, {373, 374}, {369, 370}, {365,
366}, {205, 206}, {201, 202}, {197, 198}, {193, 194}, {189, 190}, {185, 186},
{181, 182}, {177, 178}, {173, 174}, {169, 170}, {165, 166}, {161, 162}, {157,
158}, {153, 154}, {149, 150}, {145, 146}, {141, 142}, {137, 138}, {133, 134},
{129, 130}, {125, 126}, {121, 122}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21,
22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53,
54}, {57, 58}, {61, 62}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85,
86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113,
114}, {117, 118}, {209, 210}, {213, 214}, {217, 218}, {221, 222}, {225, 226},
{229, 230}, {233, 234}, {237, 238}, {241, 242}, {245, 246}, {249, 250}, {253,
254}, {257, 258}, {261, 262}, {265, 266}, {269, 270}, {273, 274}, {277, 278},
{281, 282}, {285, 286}, {289, 290}, {293, 294}, {297, 298}, {301, 302}, {305,
306}, {309, 310}, {313, 314}, {317, 318}, {321, 322}, {325, 326}, {329, 330},
{333, 334}, {337, 338}, {341, 342}, {345, 346}, {349, 350}, {353, 354}, {357,
358}, {361, 362}, {3, 4}, {499, 500}, {491, 492}, {483, 484}, {475, 476}, {467,
468}, {459, 460}, {451, 452}, {443, 444}, {435, 436}, {427, 428}, {419, 420},
{411, 412}, {403, 404}, {395, 396}, {387, 388}, {379, 380}, {371, 372}, {203,
204}, {195, 196}, {187, 188}, {179, 180}, {171, 172}, {163, 164}, {155, 156},
{147, 148}, {139, 140}, {131, 132}, {123, 124}, {11, 12}, {19, 20}, {27, 28},
{35, 36}, {43, 44}, {51, 52}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {91, 92},
{99, 100}, {107, 108}, {115, 116}, {211, 212}, {219, 220}, {227, 228}, {235,
236}, {243, 244}, {251, 252}, {259, 260}, {267, 268}, {275, 276}, {283, 284},
{291, 292}, {299, 300}, {307, 308}, {315, 316}, {323, 324}, {331, 332}, {339,
340}, {347, 348}, {355, 356}, {363, 364}, {7, 8}, {503, 504}, {487, 488}, {471,
472}, {455, 456}, {439, 440}, {423, 424}, {407, 408}, {391, 392}, {375, 376},
{199, 200}, {183, 184}, {167, 168}, {151, 152}, {135, 136}, {119, 120}, {23,
24}, {39, 40}, {55, 56}, {71, 72}, {87, 88}, {103, 104}, {215, 216}, {231, 232},
{247, 248}, {263, 264}, {279, 280}, {295, 296}, {311, 312}, {327, 328}, {343,
344}, {359, 360}, {15, 16}, {495, 496}, {463, 464}, {431, 432}, {399, 400},
{367, 368}, {175, 176}, {143, 144}, {47, 48}, {79, 80}, {111, 112}, {207, 208},
{239, 240}, {271, 272}, {303, 304}, {335, 336}, {2, 47}, {450, 495}, {448, 493},
{402, 447}, {400, 445}, {386, 431}, {384, 429}, {194, 239}, {192, 237}, {146,
191}, {144, 189}, {130, 175}, {128, 173}, {16, 61}, {18, 63}, {64, 109}, {66,
111}, {80, 125}, {82, 127}, {208, 253}, {210, 255}, {256, 301}, {258, 303},
{272, 317}, {274, 319}, {320, 365}, {322, 367}, {336, 381}, {338, 383}, {1, 46},
{449, 494}, {401, 446}, {385, 430}, {193, 238}, {145, 190}, {129, 174}, {17,
62}, {65, 110}, {81, 126}, {209, 254}, {257, 302}, {273, 318}, {321, 366}, {337,
382}, {3, 48}, {459, 504}, {455, 500}, {451, 496}, {399, 444}, {395, 440}, {391,
436}, {387, 432}, {203, 248}, {199, 244}, {195, 240}, {143, 188}, {139, 184},
{135, 180}, {131, 176}, {7, 52}, {11, 56}, {15, 60}, {67, 112}, {71, 116}, {75,
120}, {79, 124}, {207, 252}, {259, 304}, {263, 308}, {267, 312}, {271, 316},
{323, 368}, {327, 372}, {331, 376}, {335, 380}, {4, 49}, {460, 505}, {454, 499},
{452, 497}, {398, 443}, {396, 441}, {390, 435}, {388, 433}, {204, 249}, {198,
243}, {196, 241}, {142, 187}, {140, 185}, {134, 179}, {132, 177}, {6, 51}, {12,
57}, {14, 59}, {68, 113}, {70, 115}, {76, 121}, {78, 123}, {206, 251}, {260,
305}, {262, 307}, {268, 313}, {270, 315}, {324, 369}, {326, 371}, {332, 377},
{334, 379}, {5, 50}, {461, 506}, {453, 498}, {397, 442}, {389, 434}, {205, 250},
{197, 242}, {141, 186}, {133, 178}, {13, 58}, {69, 114}, {77, 122}, {261, 306},
{269, 314}, {325, 370}, {333, 378}, {8, 53}, {458, 503}, {456, 501}, {394, 439},
{392, 437}, {202, 247}, {200, 245}, {138, 183}, {136, 181}, {10, 55}, {72, 117},
{74, 119}, {264, 309}, {266, 311}, {328, 373}, {330, 375}, {9, 54}, {479, 480},
{457, 502}, {415, 416}, {393, 438}, {201, 246}, {159, 160}, {137, 182}, {31,
32}, {73, 118}, {95, 96}, {223, 224}, {265, 310}, {287, 288}, {329, 374}, {351,
352}, {19, 64}, {447, 492}, {443, 488}, {439, 484}, {435, 480}, {415, 460},
{411, 456}, {407, 452}, {403, 448}, {191, 236}, {187, 232}, {183, 228}, {179,
224}, {159, 204}, {155, 200}, {151, 196}, {147, 192}, {23, 68}, {27, 72}, {31,
76}, {51, 96}, {55, 100}, {59, 104}, {63, 108}, {275, 320}, {279, 324}, {283,
328}, {287, 332}, {307, 352}, {311, 356}, {315, 360}, {319, 364}, {20, 65},
{446, 491}, {444, 489}, {438, 483}, {436, 481}, {414, 459}, {412, 457}, {406,
451}, {404, 449}, {190, 235}, {188, 233}, {182, 227}, {180, 225}, {158, 203},
{156, 201}, {150, 195}, {148, 193}, {22, 67}, {28, 73}, {30, 75}, {52, 97}, {54,
99}, {60, 105}, {62, 107}, {276, 321}, {278, 323}, {284, 329}, {286, 331}, {308,
353}, {310, 355}, {316, 361}, {318, 363}, {21, 66}, {445, 490}, {437, 482},
{413, 458}, {405, 450}, {189, 234}, {181, 226}, {157, 202}, {149, 194}, {29,
74}, {53, 98}, {61, 106}, {277, 322}, {285, 330}, {309, 354}, {317, 362}, {24,
69}, {442, 487}, {440, 485}, {410, 455}, {408, 453}, {186, 231}, {184, 229},
{154, 199}, {152, 197}, {26, 71}, {56, 101}, {58, 103}, {280, 325}, {282, 327},
{312, 357}, {314, 359}, {25, 70}, {441, 486}, {409, 454}, {185, 230}, {153,
198}, {57, 102}, {281, 326}, {313, 358}, {32, 77}, {434, 479}, {432, 477}, {418,
463}, {416, 461}, {178, 223}, {176, 221}, {162, 207}, {160, 205}, {34, 79}, {48,
93}, {50, 95}, {288, 333}, {290, 335}, {304, 349}, {306, 351}, {33, 78}, {433,
478}, {417, 462}, {177, 222}, {161, 206}, {49, 94}, {289, 334}, {305, 350}, {35,
80}, {431, 476}, {427, 472}, {423, 468}, {419, 464}, {175, 220}, {171, 216},
{167, 212}, {163, 208}, {39, 84}, {43, 88}, {47, 92}, {291, 336}, {295, 340},
{299, 344}, {303, 348}, {36, 81}, {430, 475}, {428, 473}, {422, 467}, {420,
465}, {174, 219}, {172, 217}, {166, 211}, {164, 209}, {38, 83}, {44, 89}, {46,
91}, {292, 337}, {294, 339}, {300, 345}, {302, 347}, {37, 82}, {429, 474}, {421,
466}, {173, 218}, {165, 210}, {45, 90}, {293, 338}, {301, 346}, {40, 85}, {426,
471}, {424, 469}, {170, 215}, {168, 213}, {42, 87}, {296, 341}, {298, 343}, {41,
86}, {447, 448}, {425, 470}, {191, 192}, {169, 214}, {63, 64}, {297, 342}, {319,
320}, {83, 128}, {383, 428}, {379, 424}, {375, 420}, {371, 416}, {127, 172},
{123, 168}, {119, 164}, {87, 132}, {91, 136}, {95, 140}, {115, 160}, {339, 384},
{343, 388}, {347, 392}, {351, 396}, {84, 129}, {382, 427}, {380, 425}, {374,
419}, {372, 417}, {126, 171}, {124, 169}, {118, 163}, {86, 131}, {92, 137}, {94,
139}, {116, 161}, {340, 385}, {342, 387}, {348, 393}, {350, 395}, {85, 130},
{381, 426}, {373, 418}, {125, 170}, {117, 162}, {93, 138}, {341, 386}, {349,
394}, {88, 133}, {378, 423}, {376, 421}, {122, 167}, {120, 165}, {90, 135},
{344, 389}, {346, 391}, {89, 134}, {377, 422}, {121, 166}, {345, 390}, {96,
141}, {370, 415}, {368, 413}, {98, 143}, {112, 157}, {114, 159}, {352, 397},
{354, 399}, {97, 142}, {369, 414}, {113, 158}, {353, 398}, {99, 144}, {367,
412}, {103, 148}, {107, 152}, {111, 156}, {355, 400}, {359, 404}, {363, 408},
{100, 145}, {366, 411}, {364, 409}, {102, 147}, {108, 153}, {110, 155}, {356,
401}, {358, 403}, {101, 146}, {365, 410}, {109, 154}, {357, 402}, {104, 149},
{106, 151}, {360, 405}, {362, 407}, {105, 150}, {383, 384}, {127, 128}, {361,
406}, {2, 463}, {16, 477}, {18, 479}, {32, 493}, {34, 495}, {1, 462}, {17, 478},
{33, 494}, {3, 464}, {7, 468}, {11, 472}, {15, 476}, {35, 496}, {39, 500}, {43,
504}, {211, 256}, {215, 260}, {219, 264}, {223, 268}, {243, 288}, {247, 292},
{251, 296}, {255, 300}, {4, 465}, {6, 467}, {12, 473}, {14, 475}, {36, 497},
{38, 499}, {44, 505}, {212, 257}, {214, 259}, {220, 265}, {222, 267}, {244,
289}, {246, 291}, {252, 297}, {254, 299}, {5, 466}, {13, 474}, {37, 498}, {45,
506}, {213, 258}, {221, 266}, {245, 290}, {253, 298}, {8, 469}, {10, 471}, {40,
501}, {42, 503}, {216, 261}, {218, 263}, {248, 293}, {250, 295}, {9, 470}, {41,
502}, {217, 262}, {249, 294}, {224, 269}, {226, 271}, {240, 285}, {242, 287},
{225, 270}, {241, 286}, {19, 480}, {23, 484}, {27, 488}, {31, 492}, {227, 272},
{231, 276}, {235, 280}, {239, 284}, {20, 481}, {22, 483}, {28, 489}, {30, 491},
{228, 273}, {230, 275}, {236, 281}, {238, 283}, {21, 482}, {29, 490}, {229,
274}, {237, 282}, {1, 506}, {24, 485}, {26, 487}, {232, 277}, {234, 279}, {25,
486}, {233, 278}, {255, 256} }>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (2, 46)(3, 91)(4, 136)(5, 181)(6, 226)(7, 271)(8, 316)(9, 361)(10, 406)(11,
451)(12, 496)(13, 35)(14, 80)(15, 125)(16, 170)(17, 215)(18, 260)(19, 305)(20,
350)(21, 395)(22, 440)(23, 485)(25, 69)(26, 114)(27, 159)(28, 204)(29, 249)(30,
294)(31, 339)(32, 384)(33, 429)(34, 474)(36, 58)(37, 103)(38, 148)(39, 193)(40,
238)(41, 283)(42, 328)(43, 373)(44, 418)(45, 463)(48, 92)(49, 137)(50, 182)(51,
227)(52, 272)(53, 317)(54, 362)(55, 407)(56, 452)(57, 497)(59, 81)(60, 126)(61,
171)(62, 216)(63, 261)(64, 306)(65, 351)(66, 396)(67, 441)(68, 486)(71, 115)(72,
160)(73, 205)(74, 250)(75, 295)(76, 340)(77, 385)(78, 430)(79, 475)(82, 104)(83,
149)(84, 194)(85, 239)(86, 284)(87, 329)(88, 374)(89, 419)(90, 464)(94, 138)(95,
183)(96, 228)(97, 273)(98, 318)(99, 363)(100, 408)(101, 453)(102, 498)(105,
127)(106, 172)(107, 217)(108, 262)(109, 307)(110, 352)(111, 397)(112, 442)(113,
487)(117, 161)(118, 206)(119, 251)(120, 296)(121, 341)(122, 386)(123, 431)(124,
476)(128, 150)(129, 195)(130, 240)(131, 285)(132, 330)(133, 375)(134, 420)(135,
465)(140, 184)(141, 229)(142, 274)(143, 319)(144, 364)(145, 409)(146, 454)(147,
499)(151, 173)(152, 218)(153, 263)(154, 308)(155, 353)(156, 398)(157, 443)(158,
488)(163, 207)(164, 252)(165, 297)(166, 342)(167, 387)(168, 432)(169, 477)(174,
196)(175, 241)(176, 286)(177, 331)(178, 376)(179, 421)(180, 466)(186, 230)(187,
275)(188, 320)(189, 365)(190, 410)(191, 455)(192, 500)(197, 219)(198, 264)(199,
309)(200, 354)(201, 399)(202, 444)(203, 489)(209, 253)(210, 298)(211, 343)(212,
388)(213, 433)(214, 478)(220, 242)(221, 287)(222, 332)(223, 377)(224, 422)(225,
467)(232, 276)(233, 321)(234, 366)(235, 411)(236, 456)(237, 501)(243, 265)(244,
310)(245, 355)(246, 400)(247, 445)(248, 490)(255, 299)(256, 344)(257, 389)(258,
434)(259, 479)(266, 288)(267, 333)(268, 378)(269, 423)(270, 468)(278, 322)(279,
367)(280, 412)(281, 457)(282, 502)(289, 311)(290, 356)(291, 401)(292, 446)(293,
491)(301, 345)(302, 390)(303, 435)(304, 480)(312, 334)(313, 379)(314, 424)(315,
469)(324, 368)(325, 413)(326, 458)(327, 503)(335, 357)(336, 402)(337, 447)(338,
492)(347, 391)(348, 436)(349, 481)(358, 380)(359, 425)(360, 470)(370, 414)(371,
459)(372, 504)(381, 403)(382, 448)(383, 493)(393, 437)(394, 482)(404, 426)(405,
471)(416, 460)(417, 505)(427, 449)(428, 494)(439, 483)(450, 472)(462, 506)(473,
495) (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, 505, 506)
c: (2, 462)(3, 417)(4, 372)(5, 327)(6, 282)(7, 237)(8, 192)(9, 147)(10, 102)(11,
57)(13, 473)(14, 428)(15, 383)(16, 338)(17, 293)(18, 248)(19, 203)(20, 158)(21,
113)(22, 68)(24, 484)(25, 439)(26, 394)(27, 349)(28, 304)(29, 259)(30, 214)(31,
169)(32, 124)(33, 79)(35, 495)(36, 450)(37, 405)(38, 360)(39, 315)(40, 270)(41,
225)(42, 180)(43, 135)(44, 90)(46, 506)(47, 461)(48, 416)(49, 371)(50, 326)(51,
281)(52, 236)(53, 191)(54, 146)(55, 101)(58, 472)(59, 427)(60, 382)(61, 337)(62,
292)(63, 247)(64, 202)(65, 157)(66, 112)(69, 483)(70, 438)(71, 393)(72, 348)(73,
303)(74, 258)(75, 213)(76, 168)(77, 123)(80, 494)(81, 449)(82, 404)(83, 359)(84,
314)(85, 269)(86, 224)(87, 179)(88, 134)(91, 505)(92, 460)(93, 415)(94, 370)(95,
325)(96, 280)(97, 235)(98, 190)(99, 145)(103, 471)(104, 426)(105, 381)(106,
336)(107, 291)(108, 246)(109, 201)(110, 156)(114, 482)(115, 437)(116, 392)(117,
347)(118, 302)(119, 257)(120, 212)(121, 167)(125, 493)(126, 448)(127, 403)(128,
358)(129, 313)(130, 268)(131, 223)(132, 178)(136, 504)(137, 459)(138, 414)(139,
369)(140, 324)(141, 279)(142, 234)(143, 189)(148, 470)(149, 425)(150, 380)(151,
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