[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 468, 28 ] =
MSZ(12,39,5,5).
(I) Following is a form readable by MAGMA:
g:=Graph<468|{ {2, 3}, {466, 467}, {464, 465}, {462, 463}, {460, 461}, {458,
459}, {454, 455}, {452, 453}, {450, 451}, {448, 449}, {446, 447}, {442, 443},
{440, 441}, {438, 439}, {436, 437}, {434, 435}, {430, 431}, {428, 429}, {426,
427}, {424, 425}, {422, 423}, {418, 419}, {416, 417}, {414, 415}, {412, 413},
{410, 411}, {406, 407}, {404, 405}, {402, 403}, {400, 401}, {398, 399}, {394,
395}, {392, 393}, {390, 391}, {388, 389}, {386, 387}, {382, 383}, {208, 209},
{206, 207}, {202, 203}, {200, 201}, {198, 199}, {196, 197}, {194, 195}, {190,
191}, {188, 189}, {186, 187}, {184, 185}, {182, 183}, {178, 179}, {176, 177},
{174, 175}, {172, 173}, {170, 171}, {166, 167}, {164, 165}, {162, 163}, {160,
161}, {158, 159}, {154, 155}, {152, 153}, {150, 151}, {148, 149}, {146, 147},
{142, 143}, {140, 141}, {138, 139}, {136, 137}, {134, 135}, {130, 131}, {128,
129}, {126, 127}, {124, 125}, {122, 123}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {14,
15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {26, 27}, {28, 29}, {30, 31}, {32,
33}, {34, 35}, {38, 39}, {40, 41}, {42, 43}, {44, 45}, {46, 47}, {50, 51}, {52,
53}, {54, 55}, {56, 57}, {58, 59}, {62, 63}, {64, 65}, {66, 67}, {68, 69}, {70,
71}, {74, 75}, {76, 77}, {78, 79}, {80, 81}, {82, 83}, {86, 87}, {88, 89}, {90,
91}, {92, 93}, {94, 95}, {98, 99}, {100, 101}, {102, 103}, {104, 105}, {106,
107}, {110, 111}, {112, 113}, {114, 115}, {116, 117}, {118, 119}, {210, 211},
{212, 213}, {214, 215}, {218, 219}, {220, 221}, {222, 223}, {224, 225}, {226,
227}, {230, 231}, {232, 233}, {234, 235}, {236, 237}, {238, 239}, {242, 243},
{244, 245}, {246, 247}, {248, 249}, {250, 251}, {254, 255}, {256, 257}, {258,
259}, {260, 261}, {262, 263}, {266, 267}, {268, 269}, {270, 271}, {272, 273},
{274, 275}, {278, 279}, {280, 281}, {282, 283}, {284, 285}, {286, 287}, {290,
291}, {292, 293}, {294, 295}, {296, 297}, {298, 299}, {302, 303}, {304, 305},
{306, 307}, {308, 309}, {310, 311}, {314, 315}, {316, 317}, {318, 319}, {320,
321}, {322, 323}, {326, 327}, {328, 329}, {330, 331}, {332, 333}, {334, 335},
{338, 339}, {340, 341}, {342, 343}, {344, 345}, {346, 347}, {350, 351}, {352,
353}, {354, 355}, {356, 357}, {358, 359}, {362, 363}, {364, 365}, {366, 367},
{368, 369}, {370, 371}, {374, 375}, {376, 377}, {378, 379}, {380, 381}, {1, 2},
{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}, {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}, {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}, {121, 122}, {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}, {365, 366}, {369, 370}, {373, 374}, {377,
378}, {8, 13}, {456, 461}, {440, 445}, {432, 437}, {416, 421}, {408, 413}, {392,
397}, {384, 389}, {200, 205}, {192, 197}, {176, 181}, {168, 173}, {152, 157},
{144, 149}, {128, 133}, {24, 29}, {32, 37}, {48, 53}, {56, 61}, {72, 77}, {80,
85}, {96, 101}, {104, 109}, {120, 125}, {216, 221}, {224, 229}, {240, 245},
{248, 253}, {264, 269}, {272, 277}, {288, 293}, {296, 301}, {312, 317}, {320,
325}, {336, 341}, {344, 349}, {360, 365}, {368, 373}, {3, 4}, {467, 468}, {459,
460}, {451, 452}, {443, 444}, {435, 436}, {427, 428}, {419, 420}, {411, 412},
{403, 404}, {395, 396}, {387, 388}, {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}, {371, 372}, {379, 380}, {1, 12}, {452, 457}, {433, 444}, {420, 425}, {404,
409}, {385, 396}, {193, 204}, {180, 185}, {164, 169}, {145, 156}, {132, 137},
{20, 25}, {36, 41}, {49, 60}, {68, 73}, {84, 89}, {97, 108}, {116, 121}, {212,
217}, {228, 233}, {241, 252}, {260, 265}, {276, 281}, {289, 300}, {308, 313},
{324, 329}, {337, 348}, {356, 361}, {372, 377}, {7, 8}, {455, 456}, {439, 440},
{423, 424}, {407, 408}, {391, 392}, {199, 200}, {183, 184}, {167, 168}, {151,
152}, {135, 136}, {23, 24}, {39, 40}, {55, 56}, {71, 72}, {87, 88}, {103, 104},
{119, 120}, {215, 216}, {231, 232}, {247, 248}, {263, 264}, {279, 280}, {295,
296}, {311, 312}, {327, 328}, {343, 344}, {359, 360}, {375, 376}, {4, 21}, {448,
465}, {424, 441}, {388, 405}, {196, 213}, {172, 189}, {160, 177}, {136, 153},
{40, 57}, {64, 81}, {76, 93}, {100, 117}, {232, 249}, {256, 273}, {268, 285},
{292, 309}, {328, 345}, {352, 369}, {364, 381}, {13, 24}, {421, 432}, {397,
408}, {205, 216}, {133, 144}, {37, 48}, {109, 120}, {229, 240}, {301, 312},
{325, 336}, {12, 17}, {457, 468}, {428, 433}, {396, 401}, {204, 209}, {169,
180}, {140, 145}, {44, 49}, {73, 84}, {108, 113}, {236, 241}, {265, 276}, {300,
305}, {332, 337}, {361, 372}, {15, 16}, {463, 464}, {431, 432}, {399, 400},
{207, 208}, {175, 176}, {143, 144}, {47, 48}, {79, 80}, {111, 112}, {239, 240},
{271, 272}, {303, 304}, {335, 336}, {367, 368}, {16, 33}, {412, 429}, {400,
417}, {208, 225}, {148, 165}, {28, 45}, {88, 105}, {220, 237}, {280, 297}, {340,
357}, {85, 96}, {157, 168}, {277, 288}, {349, 360}, {9, 62}, {393, 446}, {201,
254}, {129, 182}, {321, 374}, {25, 36}, {409, 420}, {156, 161}, {92, 97}, {217,
228}, {284, 289}, {348, 353}, {31, 32}, {415, 416}, {159, 160}, {69, 122}, {95,
96}, {223, 224}, {261, 314}, {287, 288}, {351, 352}, {1, 66}, {401, 466}, {397,
462}, {389, 454}, {385, 450}, {185, 250}, {181, 246}, {173, 238}, {169, 234},
{161, 226}, {157, 222}, {149, 214}, {145, 210}, {137, 202}, {133, 198}, {5, 70},
{13, 78}, {17, 82}, {25, 90}, {29, 94}, {37, 102}, {41, 106}, {49, 114}, {53,
118}, {61, 126}, {257, 322}, {265, 330}, {269, 334}, {277, 342}, {281, 346},
{289, 354}, {293, 358}, {301, 366}, {305, 370}, {313, 378}, {317, 382}, {45,
98}, {189, 242}, {141, 194}, {285, 338}, {57, 110}, {177, 230}, {153, 206},
{273, 326}, {21, 74}, {405, 458}, {131, 220}, {35, 124}, {309, 362}, {23, 112},
{143, 232}, {263, 352}, {287, 376}, {3, 104}, {151, 252}, {147, 248}, {135,
236}, {7, 108}, {19, 120}, {259, 360}, {279, 380}, {11, 100}, {155, 244}, {52,
69}, {436, 453}, {184, 201}, {304, 321}, {316, 333}, {61, 72}, {445, 456}, {181,
192}, {33, 86}, {297, 350}, {15, 116}, {139, 240}, {267, 368}, {271, 372}, {60,
65}, {444, 449}, {188, 193}, {313, 324}, {63, 64}, {447, 448}, {191, 192}, {165,
218}, {275, 364}, {319, 320}, {27, 128}, {127, 228}, {123, 224}, {31, 132}, {63,
164}, {91, 192}, {283, 384}, {315, 416}, {319, 420}, {351, 452}, {11, 174}, {19,
182}, {67, 230}, {83, 246}, {91, 254}, {259, 422}, {275, 438}, {283, 446}, {47,
136}, {119, 208}, {311, 400}, {359, 448}, {39, 140}, {51, 152}, {55, 156}, {99,
200}, {103, 204}, {115, 216}, {291, 392}, {295, 396}, {307, 408}, {355, 456},
{7, 170}, {23, 186}, {71, 234}, {263, 426}, {59, 148}, {107, 196}, {299, 388},
{3, 178}, {15, 190}, {75, 250}, {267, 442}, {43, 144}, {111, 212}, {303, 404},
{363, 464}, {367, 468}, {79, 242}, {271, 434}, {371, 460}, {65, 130}, {125,
190}, {121, 186}, {73, 138}, {77, 142}, {85, 150}, {89, 154}, {97, 162}, {101,
166}, {109, 174}, {113, 178}, {325, 390}, {329, 394}, {337, 402}, {341, 406},
{349, 414}, {353, 418}, {361, 426}, {365, 430}, {373, 438}, {377, 442}, {93,
146}, {381, 434}, {333, 386}, {27, 202}, {51, 226}, {63, 238}, {279, 454}, {81,
134}, {345, 398}, {369, 422}, {31, 194}, {287, 450}, {117, 170}, {323, 412},
{35, 198}, {43, 206}, {59, 222}, {299, 462}, {71, 160}, {95, 184}, {335, 424},
{67, 168}, {87, 188}, {327, 428}, {339, 440}, {343, 444}, {55, 218}, {295, 458},
{347, 436}, {39, 214}, {124, 141}, {112, 129}, {291, 466}, {376, 393}, {373,
384}, {105, 158}, {75, 176}, {79, 180}, {331, 432}, {47, 210}, {121, 132}, {380,
385}, {83, 172}, {383, 384}, {127, 128}, {357, 410}, {10, 303}, {154, 447},
{130, 423}, {82, 375}, {22, 315}, {70, 363}, {2, 307}, {138, 443}, {134, 439},
{6, 311}, {14, 319}, {66, 371}, {74, 379}, {78, 383}, {142, 435}, {18, 323},
{158, 463}, {150, 455}, {146, 451}, {123, 298}, {26, 331}, {30, 335}, {50, 355},
{54, 359}, {62, 367}, {87, 262}, {219, 394}, {243, 418}, {255, 430}, {95, 258},
{127, 290}, {223, 386}, {34, 327}, {58, 351}, {107, 270}, {115, 278}, {227,
390}, {235, 398}, {251, 414}, {103, 266}, {166, 459}, {119, 282}, {247, 410},
{38, 343}, {162, 467}, {42, 347}, {99, 274}, {111, 286}, {231, 406}, {12, 379},
{4, 383}, {46, 339}, {239, 402}, {8, 375}, {28, 407}, {40, 419}, {76, 455}, {88,
467}, {10, 413}, {20, 387}, {34, 437}, {42, 445}, {60, 427}, {84, 451}, {92,
459}, {16, 395}, {187, 288}, {159, 260}, {52, 431}, {219, 320}, {223, 324},
{255, 356}, {6, 409}, {24, 391}, {56, 423}, {2, 417}, {14, 429}, {26, 441},
{131, 294}, {203, 366}, {155, 318}, {139, 302}, {211, 374}, {167, 256}, {191,
280}, {239, 328}, {163, 264}, {183, 284}, {231, 332}, {243, 344}, {247, 348},
{151, 314}, {199, 362}, {215, 378}, {30, 433}, {32, 399}, {48, 415}, {96, 463},
{251, 340}, {135, 310}, {207, 382}, {195, 370}, {18, 421}, {36, 403}, {44, 411},
{171, 272}, {175, 276}, {235, 336}, {143, 306}, {22, 425}, {179, 268}, {193,
258}, {205, 270}, {197, 262}, {209, 274}, {217, 282}, {221, 286}, {229, 294},
{233, 298}, {241, 306}, {245, 310}, {253, 318}, {9, 460}, {237, 290}, {1, 464},
{183, 358}, {159, 334}, {147, 322}, {126, 431}, {122, 427}, {5, 468}, {86, 391},
{90, 395}, {114, 419}, {249, 302}, {94, 387}, {191, 354}, {213, 266}, {227,
316}, {38, 453}, {50, 465}, {106, 399}, {187, 350}, {179, 342}, {163, 326},
{215, 304}, {195, 296}, {199, 300}, {211, 312}, {118, 411}, {167, 330}, {46,
449}, {203, 292}, {80, 447}, {98, 403}, {171, 346}, {102, 407}, {110, 415},
{244, 261}, {253, 264}, {58, 461}, {68, 435}, {225, 278}, {64, 443}, {207, 308},
{175, 338}, {252, 257}, {54, 457}, {72, 439}, {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: (1, 2)(3, 464)(4, 463)(5, 158)(6, 157)(7, 152)(8, 151)(9, 314)(10, 313)(11,
308)(12, 307)(13, 150)(14, 149)(15, 144)(16, 143)(17, 306)(18, 305)(19, 300)(20,
299)(21, 462)(22, 461)(23, 456)(24, 455)(25, 298)(26, 297)(27, 280)(28, 279)(29,
454)(30, 453)(31, 436)(32, 435)(33, 142)(34, 141)(35, 124)(36, 123)(37, 434)(38,
433)(39, 428)(40, 427)(41, 122)(42, 121)(43, 116)(44, 115)(45, 278)(46, 277)(47,
272)(48, 271)(49, 114)(50, 113)(51, 108)(52, 107)(53, 270)(54, 269)(55, 264)(56,
263)(57, 426)(58, 425)(59, 420)(60, 419)(61, 262)(62, 261)(63, 244)(64, 243)(65,
418)(66, 417)(67, 400)(68, 399)(69, 106)(70, 105)(71, 88)(72, 87)(73, 398)(74,
397)(75, 392)(76, 391)(77, 86)(78, 85)(79, 80)(81, 242)(82, 241)(83, 236)(84,
235)(89, 234)(90, 233)(91, 228)(92, 227)(93, 390)(94, 389)(95, 384)(96, 383)(97,
226)(98, 225)(99, 208)(100, 207)(101, 382)(102, 381)(103, 364)(104, 363)(109,
362)(110, 361)(111, 356)(112, 355)(117, 206)(118, 205)(119, 200)(120, 199)(125,
198)(126, 197)(127, 192)(128, 191)(129, 354)(130, 353)(131, 348)(132, 347)(133,
190)(134, 189)(135, 172)(136, 171)(137, 346)(138, 345)(139, 328)(140, 327)(145,
326)(146, 325)(147, 320)(148, 319)(153, 170)(154, 169)(155, 164)(156, 163)(159,
468)(160, 467)(161, 162)(165, 318)(166, 317)(167, 312)(168, 311)(173, 310)(174,
309)(175, 292)(176, 291)(177, 466)(178, 465)(179, 448)(180, 447)(181, 290)(182,
289)(183, 284)(184, 283)(185, 446)(186, 445)(187, 440)(188, 439)(193, 438)(194,
437)(195, 432)(196, 431)(201, 282)(202, 281)(203, 276)(204, 275)(209, 274)(210,
273)(211, 256)(212, 255)(213, 430)(214, 429)(215, 412)(216, 411)(217, 254)(218,
253)(219, 248)(220, 247)(221, 410)(222, 409)(223, 404)(224, 403)(229, 402)(230,
401)(231, 396)(232, 395)(237, 246)(238, 245)(239, 240)(249, 394)(250, 393)(251,
376)(252, 375)(257, 374)(258, 373)(259, 368)(260, 367)(265, 366)(266, 365)(267,
360)(268, 359)(285, 358)(286, 357)(287, 340)(288, 339)(293, 338)(294, 337)(295,
332)(296, 331)(301, 330)(302, 329)(303, 324)(304, 323)(315, 460)(316, 459)(321,
322)(333, 458)(334, 457)(335, 452)(336, 451)(341, 450)(342, 449)(343, 444)(344,
443)(349, 442)(350, 441)(351, 424)(352, 423)(369, 422)(370, 421)(371, 416)(372,
415)(377, 414)(378, 413)(379, 408)(380, 407)(385, 406)(386, 405)(387, 388) (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: (2, 464, 66, 12)(3, 463, 371, 379)(4, 158, 460, 378)(5, 157, 9, 313)(6, 152,
62, 324)(7, 151, 367, 223)(8, 314, 468, 222)(10, 308, 70, 168)(11, 307, 363,
67)(13, 261, 457, 221)(14, 244, 54, 220)(15, 243, 359, 131)(16, 418, 448,
130)(17, 417, 465, 65)(18, 400, 50, 64)(19, 399, 355, 443)(20, 106, 456,
442)(21, 105, 461, 377)(22, 88, 58, 376)(23, 87, 351, 287)(24, 262, 452,
286)(25, 41, 445, 441)(26, 36, 42, 440)(27, 35, 347, 339)(28, 198, 436, 338)(29,
197, 453, 285)(30, 192, 38, 284)(31, 191, 343, 183)(32, 354, 444, 182)(33, 353,
449, 129)(34, 348, 46, 128)(37, 289, 433, 181)(39, 283, 335, 91)(40, 446, 424,
90)(43, 439, 331, 403)(44, 134, 432, 402)(45, 133, 437, 337)(47, 127, 327,
247)(48, 290, 428, 246)(49, 81, 421, 401)(51, 63, 323, 311)(52, 238, 412,
310)(53, 237, 429, 245)(55, 219, 319, 155)(56, 394, 420, 154)(57, 393, 425,
89)(59, 375, 315, 467)(60, 82, 416, 466)(61, 329, 409, 153)(68, 174, 408,
362)(69, 173, 413, 309)(71, 167, 303, 207)(72, 330, 404, 206)(73, 109, 397,
361)(74, 104, 462, 372)(75, 103, 299, 271)(76, 266, 388, 270)(77, 265, 405,
205)(78, 260, 458, 216)(79, 259, 295, 115)(80, 422, 396, 114)(83, 415, 291,
427)(84, 110, 392, 426)(85, 369, 385, 113)(86, 352, 450, 112)(92, 214, 384,
334)(93, 213, 389, 269)(94, 196, 454, 268)(95, 195, 279, 179)(96, 370, 380,
178)(97, 149, 373, 333)(98, 144, 438, 332)(99, 143, 275, 231)(100, 306, 364,
230)(101, 305, 381, 177)(102, 300, 434, 176)(107, 455, 267, 387)(108, 150, 368,
386)(111, 391, 263, 451)(116, 242, 360, 294)(117, 241, 365, 229)(118, 236, 430,
240)(119, 235, 255, 139)(120, 398, 356, 138)(121, 189, 349, 293)(122, 172, 414,
292)(123, 171, 251, 203)(124, 346, 340, 202)(125, 345, 357, 137)(126, 328, 410,
136)(132, 190, 344, 358)(135, 431, 239, 411)(140, 282, 336, 254)(141, 281, 341,
201)(142, 276, 406, 200)(145, 217, 325, 253)(146, 212, 390, 264)(147, 211, 227,
163)(148, 374, 316, 162)(156, 218, 320, 318)(159, 459, 215, 383)(160, 166, 304,
382)(161, 165, 321, 317)(164, 322, 312, 226)(169, 257, 301, 225)(170, 252, 366,
224)(175, 407, 199, 435)(180, 258, 296, 278)(184, 194, 280, 342)(185, 193, 297,
277)(186, 188, 350, 288)(204, 298, 272, 250)(208, 234, 256, 302)(209, 233, 273,
249)(210, 228, 326, 248)(232, 274)(395, 419, 447, 423)
C4[ 468, 28 ]
468
-1 66 12 2 464
-2 1 3 307 417
-3 2 178 4 104
-4 3 5 383 21
-5 4 70 6 468
-6 409 311 5 7
-7 170 6 8 108
-8 375 13 7 9
-9 62 8 460 10
-10 11 303 413 9
-11 12 100 174 10
-12 11 1 379 17
-13 78 24 14 8
-14 319 429 13 15
-15 14 190 16 116
-16 33 15 17 395
-17 12 16 82 18
-18 421 323 17 19
-19 182 18 20 120
-20 387 25 19 21
-21 22 4 74 20
-22 23 315 425 21
-23 22 24 112 186
-24 23 13 391 29
-25 90 36 26 20
-26 331 441 25 27
-27 26 202 28 128
-28 407 45 27 29
-29 24 28 94 30
-30 433 335 29 31
-31 132 194 30 32
-32 33 399 37 31
-33 34 16 86 32
-34 33 35 327 437
-35 198 34 36 124
-36 35 25 403 41
-37 102 48 38 32
-38 343 453 37 39
-39 38 214 40 140
-40 419 57 39 41
-41 36 40 106 42
-42 445 347 41 43
-43 44 144 206 42
-44 45 411 49 43
-45 44 46 28 98
-46 45 47 339 449
-47 210 46 48 136
-48 47 37 415 53
-49 44 114 60 50
-50 355 465 49 51
-51 50 226 52 152
-52 431 69 51 53
-53 48 52 118 54
-54 55 457 359 53
-55 56 156 218 54
-56 55 57 423 61
-57 110 56 58 40
-58 57 59 351 461
-59 222 58 60 148
-60 59 49 427 65
-61 56 126 72 62
-62 367 61 63 9
-63 62 238 64 164
-64 443 81 63 65
-65 66 60 64 130
-66 1 67 371 65
-67 66 68 168 230
-68 67 69 435 73
-69 122 68 70 52
-70 363 69 5 71
-71 234 70 72 160
-72 77 71 61 439
-73 68 138 84 74
-74 379 73 75 21
-75 176 74 250 76
-76 77 455 93 75
-77 78 72 76 142
-78 77 13 79 383
-79 242 78 80 180
-80 79 81 447 85
-81 134 80 82 64
-82 375 81 17 83
-83 246 82 84 172
-84 451 89 83 73
-85 80 150 96 86
-86 33 391 85 87
-87 88 188 86 262
-88 89 467 105 87
-89 88 154 90 84
-90 89 25 91 395
-91 254 90 92 192
-92 91 93 459 97
-93 146 92 94 76
-94 387 93 29 95
-95 258 94 96 184
-96 463 101 95 85
-97 92 162 108 98
-98 99 45 403 97
-99 100 200 98 274
-100 11 99 101 117
-101 100 166 102 96
-102 407 101 37 103
-103 266 102 104 204
-104 3 103 105 109
-105 88 158 104 106
-106 399 105 41 107
-107 270 106 108 196
-108 113 7 107 97
-109 110 104 174 120
-110 111 57 415 109
-111 110 286 112 212
-112 23 111 113 129
-113 112 178 114 108
-114 419 113 49 115
-115 278 114 116 216
-116 121 15 115 117
-117 100 170 116 118
-118 411 117 53 119
-119 282 118 120 208
-120 125 19 119 109
-121 132 122 116 186
-122 121 123 69 427
-123 122 298 124 224
-124 35 123 125 141
-125 124 190 126 120
-126 431 125 61 127
-127 290 126 128 228
-128 133 27 127 129
-129 112 182 128 130
-130 423 129 65 131
-131 132 220 294 130
-132 121 137 31 131
-133 198 144 134 128
-134 133 135 81 439
-135 134 310 136 236
-136 47 135 137 153
-137 132 136 202 138
-138 443 137 73 139
-139 302 138 140 240
-140 145 39 139 141
-141 124 194 140 142
-142 77 143 435 141
-143 144 232 306 142
-144 143 133 149 43
-145 210 156 146 140
-146 451 145 147 93
-147 146 322 148 248
-148 165 59 147 149
-149 144 148 214 150
-150 455 149 85 151
-151 314 150 152 252
-152 157 51 151 153
-153 154 136 206 152
-154 89 155 447 153
-155 154 156 244 318
-156 55 155 145 161
-157 222 168 158 152
-158 463 157 159 105
-159 158 334 160 260
-160 177 71 159 161
-161 156 160 226 162
-162 467 161 97 163
-163 264 326 162 164
-164 165 169 63 163
-165 166 148 218 164
-166 165 101 167 459
-167 330 166 168 256
-168 67 167 157 173
-169 234 180 170 164
-170 169 171 7 117
-171 170 346 172 272
-172 189 83 171 173
-173 168 172 238 174
-174 11 173 109 175
-175 176 276 338 174
-176 177 181 75 175
-177 176 178 160 230
-178 177 3 113 179
-179 342 178 180 268
-180 79 179 169 185
-181 176 246 192 182
-182 181 183 19 129
-183 182 358 184 284
-184 201 95 183 185
-185 180 184 250 186
-186 121 187 23 185
-187 188 288 350 186
-188 187 189 193 87
-189 242 188 190 172
-190 189 15 125 191
-191 354 190 192 280
-192 91 191 181 197
-193 188 258 204 194
-194 193 195 31 141
-195 194 370 196 296
-196 213 107 195 197
-197 198 192 196 262
-198 133 199 35 197
-199 198 200 300 362
-200 99 199 201 205
-201 254 200 202 184
-202 201 27 137 203
-203 366 202 204 292
-204 209 103 203 193
-205 200 270 216 206
-206 205 207 43 153
-207 308 206 382 208
-208 209 225 119 207
-209 210 204 208 274
-210 209 145 211 47
-211 374 210 212 312
-212 111 211 213 217
-213 266 212 214 196
-214 213 39 149 215
-215 378 214 216 304
-216 221 115 215 205
-217 212 282 228 218
-218 55 165 217 219
-219 220 320 218 394
-220 221 237 131 219
-221 220 286 222 216
-222 221 157 223 59
-223 386 222 224 324
-224 123 223 225 229
-225 278 224 226 208
-226 225 51 161 227
-227 390 226 228 316
-228 233 127 227 217
-229 224 294 240 230
-230 231 67 177 229
-231 232 332 230 406
-232 143 231 233 249
-233 232 298 234 228
-234 233 169 235 71
-235 398 234 236 336
-236 135 235 237 241
-237 220 290 236 238
-238 237 63 173 239
-239 402 238 240 328
-240 245 139 239 229
-241 242 236 306 252
-242 243 79 189 241
-243 242 418 244 344
-244 155 243 245 261
-245 244 310 246 240
-246 245 181 247 83
-247 410 246 248 348
-248 253 147 247 249
-249 232 302 248 250
-250 249 75 185 251
-251 414 250 252 340
-252 257 151 251 241
-253 264 254 248 318
-254 253 255 91 201
-255 254 430 256 356
-256 167 255 257 273
-257 256 322 258 252
-258 257 193 259 95
-259 422 258 260 360
-260 265 159 259 261
-261 244 314 260 262
-262 261 87 197 263
-263 264 352 426 262
-264 253 269 163 263
-265 330 276 266 260
-266 265 267 103 213
-267 266 442 268 368
-268 179 267 269 285
-269 264 268 334 270
-270 269 205 271 107
-271 434 270 272 372
-272 277 171 271 273
-273 256 326 272 274
-274 99 209 275 273
-275 276 364 438 274
-276 275 265 281 175
-277 342 288 278 272
-278 277 279 115 225
-279 278 454 280 380
-280 297 191 279 281
-281 276 280 346 282
-282 281 217 283 119
-283 446 282 284 384
-284 289 183 283 285
-285 286 268 338 284
-286 111 221 287 285
-287 286 288 376 450
-288 187 287 277 293
-289 354 300 290 284
-290 289 291 127 237
-291 290 466 292 392
-292 309 203 291 293
-293 288 292 358 294
-294 293 229 295 131
-295 396 458 294 296
-296 297 301 195 295
-297 298 280 350 296
-298 297 123 233 299
-299 462 298 300 388
-300 199 299 289 305
-301 366 312 302 296
-302 301 303 139 249
-303 302 304 404 10
-304 321 215 303 305
-305 300 304 370 306
-306 143 305 241 307
-307 308 408 2 306
-308 309 313 207 307
-309 308 310 292 362
-310 309 135 245 311
-311 310 312 400 6
-312 211 311 301 317
-313 308 378 324 314
-314 313 315 151 261
-315 22 314 316 416
-316 333 227 315 317
-317 312 316 382 318
-318 253 319 155 317
-319 320 420 14 318
-320 319 321 325 219
-321 374 320 322 304
-322 321 147 257 323
-323 322 324 412 18
-324 223 323 313 329
-325 320 390 336 326
-326 325 327 163 273
-327 34 326 328 428
-328 345 239 327 329
-329 330 324 328 394
-330 265 331 167 329
-331 330 332 432 26
-332 231 331 333 337
-333 386 332 334 316
-334 333 159 269 335
-335 334 336 424 30
-336 341 235 335 325
-337 332 402 348 338
-338 337 339 175 285
-339 440 46 338 340
-340 341 357 251 339
-341 342 336 340 406
-342 341 277 343 179
-343 342 344 444 38
-344 243 343 345 349
-345 398 344 346 328
-346 345 171 281 347
-347 346 348 436 42
-348 353 247 347 337
-349 344 414 360 350
-350 187 297 349 351
-351 352 452 58 350
-352 353 369 263 351
-353 352 418 354 348
-354 353 289 355 191
-355 354 356 456 50
-356 255 355 357 361
-357 410 356 358 340
-358 357 183 293 359
-359 358 360 448 54
-360 365 259 359 349
-361 356 426 372 362
-362 363 199 309 361
-363 364 464 70 362
-364 275 363 365 381
-365 364 430 366 360
-366 365 301 367 203
-367 366 368 468 62
-368 267 367 369 373
-369 352 422 368 370
-370 369 195 305 371
-371 66 370 372 460
-372 377 271 371 361
-373 374 368 438 384
-374 375 211 321 373
-375 374 376 82 8
-376 287 375 377 393
-377 376 442 378 372
-378 377 313 379 215
-379 12 378 380 74
-380 385 279 379 381
-381 364 434 380 382
-382 381 207 317 383
-383 78 4 382 384
-384 389 283 383 373
-385 396 386 380 450
-386 385 387 223 333
-387 386 388 94 20
-388 299 387 389 405
-389 388 454 390 384
-390 389 325 391 227
-391 24 390 392 86
-392 397 291 391 393
-393 376 446 392 394
-394 393 219 329 395
-395 396 90 16 394
-396 385 401 295 395
-397 462 408 398 392
-398 397 399 235 345
-399 398 400 106 32
-400 311 399 401 417
-401 396 400 466 402
-402 401 337 403 239
-403 36 402 404 98
-404 409 303 403 405
-405 388 458 404 406
-406 231 341 407 405
-407 408 102 28 406
-408 407 397 413 307
-409 420 410 6 404
-410 409 411 247 357
-411 44 410 412 118
-412 429 323 411 413
-413 408 412 414 10
-414 413 349 415 251
-415 110 48 414 416
-416 421 315 415 417
-417 418 2 400 416
-418 243 353 419 417
-419 418 420 114 40
-420 319 419 409 425
-421 432 422 18 416
-422 421 423 259 369
-423 56 422 424 130
-424 441 335 423 425
-425 22 420 424 426
-426 425 361 427 263
-427 122 60 426 428
-428 429 433 327 427
-429 430 14 412 428
-430 429 255 365 431
-431 430 432 126 52
-432 331 431 421 437
-433 444 434 30 428
-434 433 435 271 381
-435 68 434 436 142
-436 453 347 435 437
-437 34 432 436 438
-438 275 437 373 439
-439 440 134 72 438
-440 441 445 339 439
-441 440 442 26 424
-442 441 267 377 443
-443 442 444 138 64
-444 343 443 433 449
-445 440 456 446 42
-446 445 447 283 393
-447 154 80 446 448
-448 465 359 447 449
-449 46 444 448 450
-450 385 451 287 449
-451 452 146 84 450
-452 451 453 457 351
-453 452 454 38 436
-454 453 279 389 455
-455 454 456 150 76
-456 355 455 445 461
-457 452 468 458 54
-458 457 459 295 405
-459 166 92 458 460
-460 371 459 9 461
-461 462 58 456 460
-462 397 463 299 461
-463 462 464 158 96
-464 363 1 463 465
-465 464 466 50 448
-466 465 291 401 467
-467 88 466 468 162
-468 367 5 467 457
0