Graph forms
for C4 [ 504, 2 ] = C_504(1,55)
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On this page are computer-accessible forms for the graph C4[ 504, 2 ] =
C_504(1,55).
(I) Following is a form readable by MAGMA:
g:=Graph<504|{ {2, 3}, {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}, {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}, {116, 117}, {114, 115},
{112, 113}, {110, 111}, {108, 109}, {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},
{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}, {1, 2}, {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}, {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},
{117, 118}, {113, 114}, {109, 110}, {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}, {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}, {341, 342}, {345, 346}, {349, 350}, {353, 354}, {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}, {363, 364}, {195, 196}, {187,
188}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {147, 148}, {139, 140},
{131, 132}, {123, 124}, {115, 116}, {107, 108}, {11, 12}, {19, 20}, {27, 28},
{35, 36}, {43, 44}, {51, 52}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {91, 92},
{99, 100}, {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}, {339, 340}, {347,
348}, {355, 356}, {7, 8}, {503, 504}, {487, 488}, {471, 472}, {455, 456}, {439,
440}, {423, 424}, {407, 408}, {391, 392}, {375, 376}, {359, 360}, {183, 184},
{167, 168}, {151, 152}, {135, 136}, {119, 120}, {23, 24}, {39, 40}, {55, 56},
{71, 72}, {87, 88}, {103, 104}, {199, 200}, {215, 216}, {231, 232}, {247, 248},
{263, 264}, {279, 280}, {295, 296}, {311, 312}, {327, 328}, {343, 344}, {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}, {8, 63}, {448, 503}, {392, 447}, {384, 439}, {192, 247},
{136, 191}, {128, 183}, {64, 119}, {72, 127}, {200, 255}, {256, 311}, {264,
319}, {320, 375}, {328, 383}, {1, 56}, {449, 504}, {391, 446}, {389, 444}, {387,
442}, {385, 440}, {193, 248}, {135, 190}, {133, 188}, {131, 186}, {129, 184},
{3, 58}, {5, 60}, {7, 62}, {65, 120}, {67, 122}, {69, 124}, {71, 126}, {195,
250}, {197, 252}, {199, 254}, {257, 312}, {259, 314}, {261, 316}, {263, 318},
{321, 376}, {323, 378}, {325, 380}, {327, 382}, {2, 57}, {390, 445}, {386, 441},
{194, 249}, {134, 189}, {130, 185}, {6, 61}, {66, 121}, {70, 125}, {198, 253},
{258, 313}, {262, 317}, {322, 377}, {326, 381}, {4, 59}, {479, 480}, {415, 416},
{388, 443}, {159, 160}, {132, 187}, {31, 32}, {68, 123}, {95, 96}, {196, 251},
{223, 224}, {260, 315}, {287, 288}, {324, 379}, {351, 352}, {9, 64}, {447, 502},
{445, 500}, {443, 498}, {441, 496}, {431, 486}, {429, 484}, {427, 482}, {425,
480}, {415, 470}, {413, 468}, {411, 466}, {409, 464}, {399, 454}, {397, 452},
{395, 450}, {393, 448}, {191, 246}, {189, 244}, {187, 242}, {185, 240}, {175,
230}, {173, 228}, {171, 226}, {169, 224}, {159, 214}, {157, 212}, {155, 210},
{153, 208}, {143, 198}, {141, 196}, {139, 194}, {137, 192}, {11, 66}, {13, 68},
{15, 70}, {25, 80}, {27, 82}, {29, 84}, {31, 86}, {41, 96}, {43, 98}, {45, 100},
{47, 102}, {57, 112}, {59, 114}, {61, 116}, {63, 118}, {265, 320}, {267, 322},
{269, 324}, {271, 326}, {281, 336}, {283, 338}, {285, 340}, {287, 342}, {297,
352}, {299, 354}, {301, 356}, {303, 358}, {313, 368}, {315, 370}, {317, 372},
{319, 374}, {10, 65}, {446, 501}, {442, 497}, {430, 485}, {426, 481}, {414,
469}, {410, 465}, {398, 453}, {394, 449}, {190, 245}, {186, 241}, {174, 229},
{170, 225}, {158, 213}, {154, 209}, {142, 197}, {138, 193}, {14, 69}, {26, 81},
{30, 85}, {42, 97}, {46, 101}, {58, 113}, {62, 117}, {266, 321}, {270, 325},
{282, 337}, {286, 341}, {298, 353}, {302, 357}, {314, 369}, {318, 373}, {12,
67}, {444, 499}, {428, 483}, {412, 467}, {396, 451}, {188, 243}, {172, 227},
{156, 211}, {140, 195}, {28, 83}, {44, 99}, {60, 115}, {268, 323}, {284, 339},
{300, 355}, {316, 371}, {16, 71}, {440, 495}, {432, 487}, {408, 463}, {400,
455}, {184, 239}, {176, 231}, {152, 207}, {144, 199}, {24, 79}, {48, 103}, {56,
111}, {272, 327}, {280, 335}, {304, 359}, {312, 367}, {17, 72}, {439, 494},
{437, 492}, {435, 490}, {433, 488}, {407, 462}, {405, 460}, {403, 458}, {401,
456}, {183, 238}, {181, 236}, {179, 234}, {177, 232}, {151, 206}, {149, 204},
{147, 202}, {145, 200}, {19, 74}, {21, 76}, {23, 78}, {49, 104}, {51, 106}, {53,
108}, {55, 110}, {273, 328}, {275, 330}, {277, 332}, {279, 334}, {305, 360},
{307, 362}, {309, 364}, {311, 366}, {18, 73}, {438, 493}, {434, 489}, {406,
461}, {402, 457}, {182, 237}, {178, 233}, {150, 205}, {146, 201}, {22, 77}, {50,
105}, {54, 109}, {274, 329}, {278, 333}, {306, 361}, {310, 365}, {20, 75}, {436,
491}, {404, 459}, {180, 235}, {148, 203}, {52, 107}, {276, 331}, {308, 363},
{32, 87}, {424, 479}, {416, 471}, {168, 223}, {160, 215}, {40, 95}, {288, 343},
{296, 351}, {33, 88}, {423, 478}, {421, 476}, {419, 474}, {417, 472}, {167,
222}, {165, 220}, {163, 218}, {161, 216}, {35, 90}, {37, 92}, {39, 94}, {289,
344}, {291, 346}, {293, 348}, {295, 350}, {34, 89}, {422, 477}, {418, 473},
{166, 221}, {162, 217}, {38, 93}, {290, 345}, {294, 349}, {36, 91}, {447, 448},
{420, 475}, {191, 192}, {164, 219}, {63, 64}, {292, 347}, {319, 320}, {73, 128},
{383, 438}, {381, 436}, {379, 434}, {377, 432}, {367, 422}, {365, 420}, {363,
418}, {361, 416}, {127, 182}, {125, 180}, {123, 178}, {121, 176}, {111, 166},
{109, 164}, {107, 162}, {75, 130}, {77, 132}, {79, 134}, {89, 144}, {91, 146},
{93, 148}, {95, 150}, {105, 160}, {329, 384}, {331, 386}, {333, 388}, {335,
390}, {345, 400}, {347, 402}, {349, 404}, {351, 406}, {74, 129}, {382, 437},
{378, 433}, {366, 421}, {362, 417}, {126, 181}, {122, 177}, {110, 165}, {78,
133}, {90, 145}, {94, 149}, {106, 161}, {330, 385}, {334, 389}, {346, 401},
{350, 405}, {76, 131}, {380, 435}, {364, 419}, {124, 179}, {108, 163}, {92,
147}, {332, 387}, {348, 403}, {80, 135}, {376, 431}, {368, 423}, {120, 175},
{112, 167}, {88, 143}, {336, 391}, {344, 399}, {81, 136}, {375, 430}, {373,
428}, {371, 426}, {369, 424}, {119, 174}, {117, 172}, {115, 170}, {113, 168},
{83, 138}, {85, 140}, {87, 142}, {337, 392}, {339, 394}, {341, 396}, {343, 398},
{82, 137}, {374, 429}, {370, 425}, {118, 173}, {114, 169}, {86, 141}, {338,
393}, {342, 397}, {84, 139}, {372, 427}, {116, 171}, {340, 395}, {96, 151},
{360, 415}, {104, 159}, {352, 407}, {97, 152}, {359, 414}, {357, 412}, {99,
154}, {101, 156}, {103, 158}, {353, 408}, {355, 410}, {98, 153}, {358, 413},
{102, 157}, {354, 409}, {100, 155}, {383, 384}, {356, 411}, {127, 128}, {2,
451}, {4, 453}, {6, 455}, {8, 457}, {10, 459}, {12, 461}, {14, 463}, {16, 465},
{18, 467}, {20, 469}, {22, 471}, {24, 473}, {26, 475}, {28, 477}, {30, 479},
{32, 481}, {34, 483}, {36, 485}, {38, 487}, {40, 489}, {42, 491}, {44, 493},
{46, 495}, {48, 497}, {50, 499}, {52, 501}, {54, 503}, {1, 450}, {5, 454}, {9,
458}, {13, 462}, {17, 466}, {21, 470}, {25, 474}, {29, 478}, {33, 482}, {37,
486}, {41, 490}, {45, 494}, {49, 498}, {53, 502}, {3, 452}, {11, 460}, {19,
468}, {27, 476}, {35, 484}, {43, 492}, {51, 500}, {201, 256}, {203, 258}, {205,
260}, {207, 262}, {217, 272}, {219, 274}, {221, 276}, {223, 278}, {233, 288},
{235, 290}, {237, 292}, {239, 294}, {249, 304}, {251, 306}, {253, 308}, {255,
310}, {202, 257}, {206, 261}, {218, 273}, {222, 277}, {234, 289}, {238, 293},
{250, 305}, {254, 309}, {7, 456}, {23, 472}, {39, 488}, {55, 504}, {204, 259},
{220, 275}, {236, 291}, {252, 307}, {208, 263}, {216, 271}, {240, 295}, {248,
303}, {209, 264}, {211, 266}, {213, 268}, {215, 270}, {241, 296}, {243, 298},
{245, 300}, {247, 302}, {210, 265}, {214, 269}, {242, 297}, {246, 301}, {15,
464}, {47, 496}, {212, 267}, {244, 299}, {224, 279}, {232, 287}, {1, 504}, {225,
280}, {227, 282}, {229, 284}, {231, 286}, {226, 281}, {230, 285}, {31, 480},
{228, 283}, {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, 450)(3, 395)(4, 340)(5, 285)(6, 230)(7, 175)(8, 120)(9, 65)(11, 459)(12,
404)(13, 349)(14, 294)(15, 239)(16, 184)(17, 129)(18, 74)(20, 468)(21, 413)(22,
358)(23, 303)(24, 248)(25, 193)(26, 138)(27, 83)(29, 477)(30, 422)(31, 367)(32,
312)(33, 257)(34, 202)(35, 147)(36, 92)(38, 486)(39, 431)(40, 376)(41, 321)(42,
266)(43, 211)(44, 156)(45, 101)(47, 495)(48, 440)(49, 385)(50, 330)(51, 275)(52,
220)(53, 165)(54, 110)(56, 504)(57, 449)(58, 394)(59, 339)(60, 284)(61, 229)(62,
174)(63, 119)(66, 458)(67, 403)(68, 348)(69, 293)(70, 238)(71, 183)(72, 128)(75,
467)(76, 412)(77, 357)(78, 302)(79, 247)(80, 192)(81, 137)(84, 476)(85, 421)(86,
366)(87, 311)(88, 256)(89, 201)(90, 146)(93, 485)(94, 430)(95, 375)(96, 320)(97,
265)(98, 210)(99, 155)(102, 494)(103, 439)(104, 384)(105, 329)(106, 274)(107,
219)(108, 164)(111, 503)(112, 448)(113, 393)(114, 338)(115, 283)(116, 228)(117,
173)(121, 457)(122, 402)(123, 347)(124, 292)(125, 237)(126, 182)(130, 466)(131,
411)(132, 356)(133, 301)(134, 246)(135, 191)(139, 475)(140, 420)(141, 365)(142,
310)(143, 255)(144, 200)(148, 484)(149, 429)(150, 374)(151, 319)(152, 264)(153,
209)(157, 493)(158, 438)(159, 383)(160, 328)(161, 273)(162, 218)(166, 502)(167,
447)(168, 392)(169, 337)(170, 282)(171, 227)(176, 456)(177, 401)(178, 346)(179,
291)(180, 236)(185, 465)(186, 410)(187, 355)(188, 300)(189, 245)(194, 474)(195,
419)(196, 364)(197, 309)(198, 254)(203, 483)(204, 428)(205, 373)(206, 318)(207,
263)(212, 492)(213, 437)(214, 382)(215, 327)(216, 272)(221, 501)(222, 446)(223,
391)(224, 336)(225, 281)(231, 455)(232, 400)(233, 345)(234, 290)(240, 464)(241,
409)(242, 354)(243, 299)(249, 473)(250, 418)(251, 363)(252, 308)(258, 482)(259,
427)(260, 372)(261, 317)(267, 491)(268, 436)(269, 381)(270, 326)(276, 500)(277,
445)(278, 390)(279, 335)(286, 454)(287, 399)(288, 344)(295, 463)(296, 408)(297,
353)(304, 472)(305, 417)(306, 362)(313, 481)(314, 426)(315, 371)(322, 490)(323,
435)(324, 380)(331, 499)(332, 444)(333, 389)(341, 453)(342, 398)(350, 462)(351,
407)(359, 471)(360, 416)(368, 480)(369, 425)(377, 489)(378, 434)(386, 498)(387,
443)(396, 452)(405, 461)(414, 470)(423, 479)(432, 488)(441, 497) (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, 56)(3, 111)(4, 166)(5, 221)(6, 276)(7, 331)(8, 386)(9, 441)(10, 496)(11,
47)(12, 102)(13, 157)(14, 212)(15, 267)(16, 322)(17, 377)(18, 432)(19, 487)(20,
38)(21, 93)(22, 148)(23, 203)(24, 258)(25, 313)(26, 368)(27, 423)(28, 478)(30,
84)(31, 139)(32, 194)(33, 249)(34, 304)(35, 359)(36, 414)(37, 469)(39, 75)(40,
130)(41, 185)(42, 240)(43, 295)(44, 350)(45, 405)(46, 460)(48, 66)(49, 121)(50,
176)(51, 231)(52, 286)(53, 341)(54, 396)(55, 451)(58, 112)(59, 167)(60, 222)(61,
277)(62, 332)(63, 387)(64, 442)(65, 497)(67, 103)(68, 158)(69, 213)(70, 268)(71,
323)(72, 378)(73, 433)(74, 488)(76, 94)(77, 149)(78, 204)(79, 259)(80, 314)(81,
369)(82, 424)(83, 479)(86, 140)(87, 195)(88, 250)(89, 305)(90, 360)(91, 415)(92,
470)(95, 131)(96, 186)(97, 241)(98, 296)(99, 351)(100, 406)(101, 461)(104,
122)(105, 177)(106, 232)(107, 287)(108, 342)(109, 397)(110, 452)(114, 168)(115,
223)(116, 278)(117, 333)(118, 388)(119, 443)(120, 498)(123, 159)(124, 214)(125,
269)(126, 324)(127, 379)(128, 434)(129, 489)(132, 150)(133, 205)(134, 260)(135,
315)(136, 370)(137, 425)(138, 480)(142, 196)(143, 251)(144, 306)(145, 361)(146,
416)(147, 471)(151, 187)(152, 242)(153, 297)(154, 352)(155, 407)(156, 462)(160,
178)(161, 233)(162, 288)(163, 343)(164, 398)(165, 453)(170, 224)(171, 279)(172,
334)(173, 389)(174, 444)(175, 499)(179, 215)(180, 270)(181, 325)(182, 380)(183,
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