Graph forms
for C4 [ 510, 2 ] = C_510(1,101)
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On this page are computer-accessible forms for the graph C4[ 510, 2 ] =
C_510(1,101).
(I) Following is a form readable by MAGMA:
g:=Graph<510|{ {2, 3}, {508, 509}, {506, 507}, {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}, {362, 363}, {360, 361}, {358, 359},
{356, 357}, {354, 355}, {352, 353}, {350, 351}, {348, 349}, {346, 347}, {344,
345}, {342, 343}, {340, 341}, {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}, {116, 117}, {114, 115}, {112, 113}, {110, 111}, {108,
109}, {106, 107}, {104, 105}, {102, 103}, {100, 101}, {98, 99}, {96, 97}, {94,
95}, {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}, {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}, {1, 2}, {509, 510},
{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}, {361, 362}, {357, 358}, {353, 354},
{349, 350}, {345, 346}, {341, 342}, {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}, {117, 118}, {113,
114}, {109, 110}, {105, 106}, {101, 102}, {97, 98}, {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}, {181, 182}, {185, 186}, {189, 190},
{193, 194}, {197, 198}, {201, 202}, {205, 206}, {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}, {3, 4}, {507, 508}, {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}, {363, 364}, {355, 356}, {347, 348},
{339, 340}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {147, 148}, {139,
140}, {131, 132}, {123, 124}, {115, 116}, {107, 108}, {99, 100}, {11, 12}, {19,
20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {59, 60}, {67, 68}, {75, 76}, {83,
84}, {91, 92}, {187, 188}, {195, 196}, {203, 204}, {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}, {7, 8}, {503, 504}, {487, 488}, {471, 472}, {455, 456}, {439, 440}, {423,
424}, {407, 408}, {391, 392}, {375, 376}, {359, 360}, {343, 344}, {167, 168},
{151, 152}, {135, 136}, {119, 120}, {103, 104}, {23, 24}, {39, 40}, {55, 56},
{71, 72}, {87, 88}, {183, 184}, {199, 200}, {215, 216}, {231, 232}, {247, 248},
{263, 264}, {279, 280}, {295, 296}, {311, 312}, {327, 328}, {15, 16}, {495,
496}, {463, 464}, {431, 432}, {399, 400}, {367, 368}, {175, 176}, {143, 144},
{111, 112}, {47, 48}, {79, 80}, {207, 208}, {239, 240}, {271, 272}, {303, 304},
{335, 336}, {31, 32}, {479, 480}, {415, 416}, {351, 352}, {159, 160}, {95, 96},
{223, 224}, {287, 288}, {2, 103}, {408, 509}, {402, 503}, {400, 501}, {394,
495}, {392, 493}, {386, 487}, {384, 485}, {154, 255}, {152, 253}, {146, 247},
{144, 245}, {138, 239}, {136, 237}, {130, 231}, {128, 229}, {8, 109}, {10, 111},
{16, 117}, {18, 119}, {24, 125}, {26, 127}, {256, 357}, {258, 359}, {264, 365},
{266, 367}, {272, 373}, {274, 375}, {280, 381}, {282, 383}, {1, 102}, {409,
510}, {401, 502}, {393, 494}, {385, 486}, {153, 254}, {145, 246}, {137, 238},
{129, 230}, {9, 110}, {17, 118}, {25, 126}, {257, 358}, {265, 366}, {273, 374},
{281, 382}, {3, 104}, {407, 508}, {403, 504}, {391, 492}, {387, 488}, {151,
252}, {147, 248}, {135, 236}, {131, 232}, {7, 108}, {19, 120}, {23, 124}, {259,
360}, {263, 364}, {275, 376}, {279, 380}, {4, 105}, {406, 507}, {404, 505},
{390, 491}, {388, 489}, {150, 251}, {148, 249}, {134, 235}, {132, 233}, {6,
107}, {20, 121}, {22, 123}, {260, 361}, {262, 363}, {276, 377}, {278, 379}, {5,
106}, {405, 506}, {389, 490}, {149, 250}, {133, 234}, {21, 122}, {261, 362},
{277, 378}, {11, 112}, {399, 500}, {395, 496}, {143, 244}, {139, 240}, {15,
116}, {267, 368}, {271, 372}, {12, 113}, {398, 499}, {396, 497}, {142, 243},
{140, 241}, {14, 115}, {268, 369}, {270, 371}, {13, 114}, {447, 448}, {397,
498}, {141, 242}, {63, 64}, {191, 192}, {269, 370}, {319, 320}, {27, 128}, {383,
484}, {379, 480}, {351, 452}, {347, 448}, {127, 228}, {123, 224}, {95, 196},
{31, 132}, {59, 160}, {63, 164}, {91, 192}, {283, 384}, {287, 388}, {315, 416},
{319, 420}, {28, 129}, {382, 483}, {380, 481}, {350, 451}, {348, 449}, {126,
227}, {124, 225}, {94, 195}, {30, 131}, {60, 161}, {62, 163}, {92, 193}, {284,
385}, {286, 387}, {316, 417}, {318, 419}, {29, 130}, {381, 482}, {349, 450},
{125, 226}, {61, 162}, {93, 194}, {285, 386}, {317, 418}, {32, 133}, {378, 479},
{376, 477}, {370, 471}, {368, 469}, {362, 463}, {360, 461}, {354, 455}, {352,
453}, {122, 223}, {120, 221}, {114, 215}, {112, 213}, {106, 207}, {104, 205},
{98, 199}, {96, 197}, {34, 135}, {40, 141}, {42, 143}, {48, 149}, {50, 151},
{56, 157}, {58, 159}, {288, 389}, {290, 391}, {296, 397}, {298, 399}, {304,
405}, {306, 407}, {312, 413}, {314, 415}, {33, 134}, {377, 478}, {369, 470},
{361, 462}, {353, 454}, {121, 222}, {113, 214}, {105, 206}, {97, 198}, {41,
142}, {49, 150}, {57, 158}, {289, 390}, {297, 398}, {305, 406}, {313, 414}, {35,
136}, {375, 476}, {371, 472}, {359, 460}, {355, 456}, {119, 220}, {115, 216},
{103, 204}, {99, 200}, {39, 140}, {51, 152}, {55, 156}, {291, 392}, {295, 396},
{307, 408}, {311, 412}, {36, 137}, {374, 475}, {372, 473}, {358, 459}, {356,
457}, {118, 219}, {116, 217}, {102, 203}, {100, 201}, {38, 139}, {52, 153}, {54,
155}, {292, 393}, {294, 395}, {308, 409}, {310, 411}, {37, 138}, {373, 474},
{357, 458}, {117, 218}, {101, 202}, {53, 154}, {293, 394}, {309, 410}, {43,
144}, {367, 468}, {363, 464}, {111, 212}, {107, 208}, {47, 148}, {299, 400},
{303, 404}, {44, 145}, {366, 467}, {364, 465}, {110, 211}, {108, 209}, {46,
147}, {300, 401}, {302, 403}, {45, 146}, {365, 466}, {109, 210}, {301, 402},
{64, 165}, {346, 447}, {344, 445}, {66, 167}, {72, 173}, {74, 175}, {80, 181},
{82, 183}, {88, 189}, {90, 191}, {320, 421}, {322, 423}, {328, 429}, {330, 431},
{336, 437}, {338, 439}, {65, 166}, {345, 446}, {73, 174}, {81, 182}, {89, 190},
{321, 422}, {329, 430}, {337, 438}, {67, 168}, {343, 444}, {339, 440}, {71,
172}, {83, 184}, {87, 188}, {323, 424}, {327, 428}, {68, 169}, {342, 443}, {340,
441}, {70, 171}, {84, 185}, {86, 187}, {324, 425}, {326, 427}, {69, 170}, {341,
442}, {85, 186}, {325, 426}, {75, 176}, {79, 180}, {331, 432}, {335, 436}, {76,
177}, {78, 179}, {332, 433}, {334, 435}, {77, 178}, {383, 384}, {127, 128},
{333, 434}, {2, 411}, {100, 509}, {98, 507}, {96, 505}, {4, 413}, {6, 415}, {32,
441}, {34, 443}, {36, 445}, {38, 447}, {64, 473}, {66, 475}, {68, 477}, {70,
479}, {1, 410}, {159, 260}, {155, 256}, {101, 510}, {97, 506}, {5, 414}, {33,
442}, {37, 446}, {65, 474}, {69, 478}, {187, 288}, {191, 292}, {219, 320}, {223,
324}, {251, 352}, {255, 356}, {156, 257}, {158, 259}, {188, 289}, {190, 291},
{220, 321}, {222, 323}, {252, 353}, {254, 355}, {3, 412}, {157, 258}, {99, 508},
{35, 444}, {67, 476}, {189, 290}, {221, 322}, {253, 354}, {160, 261}, {178,
279}, {176, 277}, {170, 271}, {168, 269}, {162, 263}, {184, 285}, {186, 287},
{224, 325}, {226, 327}, {232, 333}, {234, 335}, {240, 341}, {242, 343}, {248,
349}, {250, 351}, {7, 416}, {177, 278}, {169, 270}, {161, 262}, {95, 504}, {15,
424}, {23, 432}, {31, 440}, {71, 480}, {79, 488}, {87, 496}, {185, 286}, {225,
326}, {233, 334}, {241, 342}, {249, 350}, {8, 417}, {94, 503}, {10, 419}, {12,
421}, {14, 423}, {24, 433}, {26, 435}, {28, 437}, {30, 439}, {72, 481}, {74,
483}, {76, 485}, {78, 487}, {88, 497}, {90, 499}, {92, 501}, {9, 418}, {179,
280}, {167, 268}, {163, 264}, {13, 422}, {25, 434}, {29, 438}, {73, 482}, {77,
486}, {89, 498}, {93, 502}, {183, 284}, {227, 328}, {231, 332}, {243, 344},
{247, 348}, {164, 265}, {166, 267}, {180, 281}, {182, 283}, {228, 329}, {230,
331}, {244, 345}, {246, 347}, {11, 420}, {165, 266}, {27, 436}, {75, 484}, {91,
500}, {181, 282}, {229, 330}, {245, 346}, {16, 425}, {18, 427}, {20, 429}, {22,
431}, {80, 489}, {82, 491}, {84, 493}, {86, 495}, {17, 426}, {175, 276}, {171,
272}, {21, 430}, {81, 490}, {85, 494}, {235, 336}, {239, 340}, {172, 273}, {174,
275}, {236, 337}, {238, 339}, {19, 428}, {173, 274}, {83, 492}, {237, 338},
{192, 293}, {194, 295}, {200, 301}, {202, 303}, {208, 309}, {210, 311}, {216,
317}, {218, 319}, {39, 448}, {47, 456}, {55, 464}, {63, 472}, {193, 294}, {201,
302}, {209, 310}, {217, 318}, {40, 449}, {42, 451}, {44, 453}, {46, 455}, {56,
465}, {58, 467}, {60, 469}, {62, 471}, {41, 450}, {45, 454}, {57, 466}, {61,
470}, {195, 296}, {199, 300}, {211, 312}, {215, 316}, {196, 297}, {198, 299},
{212, 313}, {214, 315}, {43, 452}, {59, 468}, {197, 298}, {213, 314}, {48, 457},
{50, 459}, {52, 461}, {54, 463}, {49, 458}, {53, 462}, {203, 304}, {207, 308},
{204, 305}, {206, 307}, {1, 510}, {51, 460}, {205, 306}, {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, 102)(3, 203)(4, 304)(5, 405)(6, 506)(7, 97)(8, 198)(9, 299)(10, 400)(11,
501)(12, 92)(13, 193)(14, 294)(15, 395)(16, 496)(17, 87)(18, 188)(19, 289)(20,
390)(21, 491)(22, 82)(23, 183)(24, 284)(25, 385)(26, 486)(27, 77)(28, 178)(29,
279)(30, 380)(31, 481)(32, 72)(33, 173)(34, 274)(35, 375)(36, 476)(37, 67)(38,
168)(39, 269)(40, 370)(41, 471)(42, 62)(43, 163)(44, 264)(45, 365)(46, 466)(47,
57)(48, 158)(49, 259)(50, 360)(51, 461)(53, 153)(54, 254)(55, 355)(56, 456)(58,
148)(59, 249)(60, 350)(61, 451)(63, 143)(64, 244)(65, 345)(66, 446)(68, 138)(69,
239)(70, 340)(71, 441)(73, 133)(74, 234)(75, 335)(76, 436)(78, 128)(79, 229)(80,
330)(81, 431)(83, 123)(84, 224)(85, 325)(86, 426)(88, 118)(89, 219)(90, 320)(91,
421)(93, 113)(94, 214)(95, 315)(96, 416)(98, 108)(99, 209)(100, 310)(101,
411)(104, 204)(105, 305)(106, 406)(107, 507)(109, 199)(110, 300)(111, 401)(112,
502)(114, 194)(115, 295)(116, 396)(117, 497)(119, 189)(120, 290)(121, 391)(122,
492)(124, 184)(125, 285)(126, 386)(127, 487)(129, 179)(130, 280)(131, 381)(132,
482)(134, 174)(135, 275)(136, 376)(137, 477)(139, 169)(140, 270)(141, 371)(142,
472)(144, 164)(145, 265)(146, 366)(147, 467)(149, 159)(150, 260)(151, 361)(152,
462)(155, 255)(156, 356)(157, 457)(160, 250)(161, 351)(162, 452)(165, 245)(166,
346)(167, 447)(170, 240)(171, 341)(172, 442)(175, 235)(176, 336)(177, 437)(180,
230)(181, 331)(182, 432)(185, 225)(186, 326)(187, 427)(190, 220)(191, 321)(192,
422)(195, 215)(196, 316)(197, 417)(200, 210)(201, 311)(202, 412)(206, 306)(207,
407)(208, 508)(211, 301)(212, 402)(213, 503)(216, 296)(217, 397)(218, 498)(221,
291)(222, 392)(223, 493)(226, 286)(227, 387)(228, 488)(231, 281)(232, 382)(233,
483)(236, 276)(237, 377)(238, 478)(241, 271)(242, 372)(243, 473)(246, 266)(247,
367)(248, 468)(251, 261)(252, 362)(253, 463)(257, 357)(258, 458)(262, 352)(263,
453)(267, 347)(268, 448)(272, 342)(273, 443)(277, 337)(278, 438)(282, 332)(283,
433)(287, 327)(288, 428)(292, 322)(293, 423)(297, 317)(298, 418)(302, 312)(303,
413)(308, 408)(309, 509)(313, 403)(314, 504)(318, 398)(319, 499)(323, 393)(324,
494)(328, 388)(329, 489)(333, 383)(334, 484)(338, 378)(339, 479)(343, 373)(344,
474)(348, 368)(349, 469)(353, 363)(354, 464)(359, 459)(364, 454)(369, 449)(374,
444)(379, 439)(384, 434)(389, 429)(394, 424)(399, 419)(404, 414)(410, 510)(415,
505)(420, 500)(425, 495)(430, 490)(435, 485)(440, 480)(445, 475)(450, 470)(455,
465) (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, 507, 508, 509, 510)
c: (2, 410)(3, 309)(4, 208)(5, 107)(7, 415)(8, 314)(9, 213)(10, 112)(12,
420)(13, 319)(14, 218)(15, 117)(17, 425)(18, 324)(19, 223)(20, 122)(22, 430)(23,
329)(24, 228)(25, 127)(27, 435)(28, 334)(29, 233)(30, 132)(32, 440)(33, 339)(34,
238)(35, 137)(37, 445)(38, 344)(39, 243)(40, 142)(42, 450)(43, 349)(44, 248)(45,
147)(47, 455)(48, 354)(49, 253)(50, 152)(52, 460)(53, 359)(54, 258)(55, 157)(57,
465)(58, 364)(59, 263)(60, 162)(62, 470)(63, 369)(64, 268)(65, 167)(67, 475)(68,
374)(69, 273)(70, 172)(72, 480)(73, 379)(74, 278)(75, 177)(77, 485)(78, 384)(79,
283)(80, 182)(82, 490)(83, 389)(84, 288)(85, 187)(87, 495)(88, 394)(89, 293)(90,
192)(92, 500)(93, 399)(94, 298)(95, 197)(97, 505)(98, 404)(99, 303)(100,
202)(102, 510)(103, 409)(104, 308)(105, 207)(108, 414)(109, 313)(110, 212)(113,
419)(114, 318)(115, 217)(118, 424)(119, 323)(120, 222)(123, 429)(124, 328)(125,
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