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