[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 486, 31 ] =
UG(ATD[486,41]).
(I) Following is a form readable by MAGMA:
g:=Graph<486|{ {12, 13}, {114, 115}, {260, 261}, {1, 2}, {44, 47}, {17, 18},
{59, 63}, {369, 373}, {361, 365}, {120, 124}, {233, 237}, {2, 7}, {449, 452},
{425, 428}, {136, 141}, {43, 46}, {40, 46}, {1, 6}, {168, 175}, {57, 62}, {40,
47}, {261, 269}, {343, 351}, {98, 107}, {131, 137}, {324, 334}, {320, 330}, {3,
8}, {135, 140}, {4, 9}, {452, 457}, {84, 89}, {291, 302}, {115, 125}, {144,
158}, {132, 138}, {5, 10}, {167, 168}, {51, 60}, {33, 49}, {72, 89}, {4, 23},
{393, 410}, {12, 31}, {8, 27}, {296, 316}, {3, 22}, {460, 473}, {11, 30}, {9,
28}, {267, 285}, {2, 21}, {10, 29}, {268, 276}, {326, 350}, {301, 308}, {139,
145}, {428, 438}, {128, 155}, {460, 471}, {328, 339}, {142, 149}, {42, 54}, {5,
24}, {45, 48}, {7, 26}, {101, 123}, {6, 25}, {157, 189}, {402, 434}, {68, 102},
{140, 174}, {193, 226}, {409, 442}, {403, 432}, {397, 425}, {321, 356}, {29,
59}, {87, 113}, {25, 62}, {325, 354}, {211, 244}, {30, 52}, {394, 416}, {327,
365}, {397, 422}, {405, 441}, {461, 480}, {14, 32}, {406, 440}, {390, 424},
{389, 427}, {320, 366}, {15, 33}, {275, 317}, {286, 302}, {466, 482}, {408,
424}, {18, 35}, {147, 162}, {137, 184}, {277, 292}, {16, 34}, {20, 38}, {64,
115}, {16, 36}, {392, 444}, {19, 39}, {204, 249}, {265, 316}, {19, 37}, {464,
486}, {65, 119}, {205, 251}, {287, 297}, {75, 124}, {394, 445}, {341, 354},
{128, 183}, {159, 167}, {391, 447}, {65, 123}, {388, 447}, {393, 434}, {1, 61},
{336, 364}, {328, 372}, {270, 306}, {68, 121}, {144, 173}, {214, 232}, {69,
122}, {387, 444}, {336, 367}, {138, 181}, {6, 70}, {178, 242}, {153, 217}, {152,
216}, {60, 124}, {15, 79}, {14, 78}, {13, 77}, {12, 76}, {11, 75}, {10, 74}, {9,
73}, {8, 72}, {7, 71}, {307, 371}, {17, 80}, {182, 247}, {18, 81}, {395, 456},
{27, 88}, {23, 84}, {300, 367}, {29, 89}, {182, 242}, {22, 83}, {398, 459}, {31,
90}, {20, 82}, {39, 97}, {38, 96}, {384, 455}, {57, 112}, {386, 459}, {40, 98},
{41, 99}, {44, 103}, {58, 113}, {45, 102}, {58, 118}, {404, 472}, {398, 450},
{24, 85}, {146, 223}, {63, 114}, {57, 116}, {56, 117}, {43, 102}, {26, 87}, {17,
95}, {25, 86}, {55, 120}, {42, 101}, {21, 68}, {318, 367}, {298, 377}, {319,
363}, {407, 451}, {179, 230}, {180, 225}, {56, 110}, {411, 461}, {408, 462},
{385, 471}, {158, 201}, {436, 483}, {401, 454}, {170, 253}, {407, 463}, {49,
104}, {53, 108}, {51, 106}, {25, 67}, {400, 458}, {55, 109}, {50, 105}, {391,
476}, {52, 111}, {284, 327}, {28, 64}, {256, 350}, {404, 458}, {387, 477}, {52,
107}, {188, 227}, {191, 224}, {262, 345}, {266, 362}, {435, 467}, {11, 106},
{446, 479}, {156, 253}, {282, 379}, {14, 108}, {287, 381}, {386, 481}, {143,
235}, {54, 83}, {390, 483}, {153, 252}, {144, 246}, {388, 482}, {145, 247},
{155, 252}, {268, 363}, {283, 380}, {166, 206}, {435, 475}, {283, 370}, {297,
320}, {61, 87}, {149, 255}, {38, 77}, {441, 466}, {147, 248}, {149, 249}, {392,
484}, {172, 192}, {150, 250}, {274, 382}, {47, 66}, {429, 448}, {399, 482},
{316, 337}, {285, 368}, {395, 485}, {442, 468}, {429, 451}, {156, 243}, {270,
353}, {406, 486}, {439, 455}, {14, 127}, {400, 481}, {288, 339}, {309, 321},
{269, 376}, {318, 331}, {132, 242}, {402, 484}, {175, 217}, {172, 218}, {133,
243}, {147, 228}, {178, 197}, {131, 251}, {4, 125}, {412, 485}, {164, 221},
{279, 366}, {36, 94}, {155, 225}, {147, 233}, {143, 245}, {142, 244}, {136,
242}, {37, 95}, {304, 330}, {32, 91}, {427, 464}, {158, 229}, {154, 230}, {270,
370}, {280, 356}, {163, 222}, {443, 454}, {266, 375}, {9, 119}, {57, 71}, {35,
93}, {34, 92}, {27, 100}, {310, 438}, {341, 469}, {330, 458}, {96, 225}, {260,
389}, {340, 470}, {97, 226}, {90, 223}, {349, 472}, {102, 227}, {88, 222}, {350,
473}, {309, 445}, {78, 199}, {85, 220}, {256, 393}, {110, 228}, {111, 229}, {81,
218}, {319, 436}, {86, 221}, {60, 176}, {329, 453}, {342, 475}, {348, 465},
{100, 234}, {285, 403}, {84, 219}, {41, 184}, {127, 238}, {125, 236}, {275,
386}, {53, 167}, {123, 233}, {122, 232}, {279, 389}, {68, 215}, {346, 457},
{126, 237}, {116, 231}, {20, 128}, {347, 463}, {64, 212}, {67, 214}, {107, 254},
{278, 387}, {78, 216}, {112, 230}, {79, 217}, {66, 213}, {124, 235}, {31, 135},
{290, 442}, {63, 166}, {317, 420}, {259, 409}, {338, 456}, {284, 391}, {347,
448}, {325, 478}, {90, 198}, {380, 480}, {323, 478}, {334, 467}, {295, 441},
{13, 146}, {382, 481}, {29, 130}, {3, 163}, {58, 154}, {5, 165}, {258, 418},
{30, 191}, {352, 449}, {274, 435}, {28, 190}, {376, 474}, {38, 133}, {381, 478},
{375, 468}, {24, 188}, {379, 479}, {357, 449}, {116, 208}, {67, 231}, {1, 164},
{299, 398}, {312, 413}, {26, 189}, {77, 234}, {291, 388}, {305, 406}, {383,
471}, {49, 152}, {376, 465}, {263, 430}, {293, 396}, {90, 240}, {329, 483},
{126, 212}, {91, 241}, {31, 180}, {315, 400}, {118, 221}, {310, 413}, {21, 185},
{53, 153}, {23, 187}, {22, 186}, {292, 392}, {48, 157}, {368, 477}, {290, 399},
{314, 404}, {331, 485}, {41, 134}, {362, 474}, {122, 203}, {277, 420}, {93,
239}, {363, 473}, {359, 469}, {358, 468}, {18, 161}, {121, 202}, {56, 139}, {19,
160}, {286, 429}, {7, 179}, {4, 177}, {276, 417}, {364, 474}, {366, 472}, {264,
447}, {379, 451}, {46, 148}, {383, 453}, {372, 462}, {257, 443}, {260, 446}, {5,
190}, {50, 137}, {352, 476}, {382, 450}, {353, 477}, {264, 437}, {92, 226},
{360, 470}, {94, 224}, {258, 444}, {259, 445}, {306, 396}, {307, 397}, {62,
129}, {95, 224}, {28, 220}, {337, 401}, {117, 181}, {104, 168}, {97, 161}, {374,
439}, {55, 245}, {85, 150}, {360, 427}, {356, 416}, {359, 419}, {51, 246}, {378,
444}, {326, 385}, {50, 250}, {263, 463}, {273, 472}, {369, 440}, {36, 238}, {75,
129}, {257, 459}, {80, 155}, {381, 438}, {332, 384}, {349, 401}, {336, 412},
{333, 385}, {271, 448}, {335, 415}, {378, 426}, {357, 437}, {272, 449}, {335,
414}, {69, 151}, {311, 485}, {42, 249}, {273, 450}, {56, 236}, {374, 418}, {344,
396}, {76, 152}, {66, 151}, {277, 451}, {20, 195}, {281, 462}, {286, 454}, {375,
431}, {368, 426}, {377, 419}, {105, 178}, {362, 433}, {355, 440}, {271, 467},
{380, 416}, {345, 389}, {327, 411}, {280, 452}, {281, 453}, {83, 142}, {276,
457}, {269, 466}, {333, 402}, {32, 192}, {37, 197}, {36, 196}, {35, 195}, {34,
194}, {33, 193}, {262, 486}, {303, 463}, {304, 464}, {39, 198}, {353, 384},
{300, 461}, {296, 458}, {373, 407}, {297, 459}, {301, 462}, {322, 417}, {44,
200}, {377, 413}, {121, 157}, {107, 143}, {45, 201}, {47, 202}, {298, 460},
{317, 475}, {312, 478}, {311, 465}, {288, 455}, {99, 139}, {265, 481}, {306,
474}, {313, 466}, {43, 199}, {63, 211}, {62, 210}, {61, 209}, {60, 208}, {293,
456}, {348, 433}, {294, 456}, {332, 418}, {295, 457}, {105, 134}, {369, 414},
{346, 437}, {361, 409}, {83, 162}, {354, 403}, {340, 421}, {115, 130}, {100,
149}, {91, 170}, {84, 165}, {70, 180}, {94, 172}, {85, 166}, {323, 432}, {103,
148}, {59, 207}, {126, 138}, {95, 171}, {93, 169}, {303, 475}, {307, 455}, {69,
176}, {338, 423}, {126, 139}, {92, 169}, {93, 171}, {117, 131}, {294, 465}, {54,
206}, {342, 430}, {301, 471}, {351, 421}, {324, 446}, {3, 248}, {339, 424}, {48,
203}, {45, 209}, {355, 415}, {74, 182}, {73, 181}, {71, 186}, {358, 411}, {322,
447}, {109, 144}, {82, 175}, {15, 241}, {94, 160}, {51, 205}, {50, 204}, {16,
239}, {344, 423}, {96, 159}, {73, 328}, {55, 308}, {213, 467}, {179, 436}, {130,
394}, {48, 313}, {74, 320}, {133, 399}, {207, 453}, {19, 287}, {79, 323}, {78,
322}, {67, 334}, {176, 445}, {76, 321}, {237, 480}, {177, 446}, {69, 341}, {150,
390}, {86, 327}, {208, 450}, {80, 324}, {82, 326}, {81, 325}, {187, 431}, {15,
282}, {112, 357}, {66, 340}, {201, 479}, {193, 470}, {58, 290}, {250, 482},
{197, 476}, {206, 469}, {16, 268}, {104, 372}, {86, 331}, {129, 415}, {53, 298},
{118, 342}, {120, 344}, {119, 343}, {116, 341}, {26, 312}, {113, 339}, {112,
338}, {187, 409}, {190, 412}, {191, 413}, {198, 484}, {108, 335}, {34, 262},
{106, 334}, {105, 333}, {104, 332}, {44, 265}, {17, 311}, {114, 340}, {99, 325},
{188, 410}, {189, 411}, {11, 300}, {32, 263}, {199, 480}, {27, 307}, {98, 328},
{99, 329}, {35, 264}, {81, 378}, {185, 405}, {13, 288}, {164, 393}, {100, 330},
{101, 331}, {2, 301}, {46, 286}, {41, 280}, {236, 477}, {65, 371}, {184, 395},
{111, 347}, {234, 479}, {185, 399}, {159, 422}, {173, 404}, {52, 270}, {49,
269}, {169, 405}, {110, 336}, {111, 337}, {61, 258}, {192, 384}, {33, 352}, {88,
281}, {208, 401}, {240, 433}, {237, 431}, {92, 287}, {118, 306}, {234, 430},
{253, 440}, {255, 442}, {244, 434}, {245, 435}, {238, 425}, {254, 441}, {88,
272}, {215, 414}, {252, 439}, {89, 277}, {106, 294}, {248, 436}, {251, 438},
{252, 434}, {117, 314}, {250, 437}, {125, 303}, {109, 312}, {205, 408}, {188,
484}, {211, 395}, {192, 410}, {39, 379}, {195, 415}, {251, 422}, {103, 313},
{238, 432}, {244, 426}, {42, 373}, {193, 414}, {254, 417}, {209, 433}, {214,
439}, {224, 385}, {246, 405}, {196, 416}, {197, 417}, {198, 418}, {65, 295},
{195, 421}, {87, 304}, {203, 428}, {64, 296}, {206, 422}, {204, 421}, {191,
469}, {54, 349}, {196, 431}, {200, 419}, {248, 403}, {10, 358}, {109, 257},
{186, 470}, {194, 430}, {122, 279}, {201, 420}, {23, 376}, {121, 278}, {91,
299}, {103, 279}, {12, 381}, {96, 273}, {213, 420}, {220, 429}, {97, 274}, {72,
318}, {73, 319}, {209, 423}, {236, 410}, {212, 419}, {219, 428}, {239, 408},
{59, 323}, {200, 432}, {70, 316}, {127, 261}, {71, 317}, {210, 424}, {123, 256},
{241, 394}, {214, 426}, {215, 427}, {212, 425}, {249, 390}, {8, 392}, {182,
310}, {142, 271}, {151, 278}, {246, 375}, {183, 309}, {187, 313}, {137, 266},
{194, 324}, {141, 266}, {156, 276}, {30, 402}, {255, 371}, {80, 448}, {177,
289}, {140, 284}, {202, 346}, {6, 407}, {136, 281}, {119, 486}, {235, 378},
{181, 295}, {128, 275}, {154, 265}, {220, 335}, {22, 386}, {143, 283}, {210,
326}, {163, 310}, {204, 345}, {156, 267}, {162, 309}, {219, 332}, {228, 371},
{76, 468}, {239, 374}, {227, 377}, {157, 257}, {158, 258}, {77, 464}, {226,
383}, {235, 329}, {255, 348}, {167, 259}, {174, 267}, {175, 264}, {171, 259},
{141, 292}, {174, 263}, {185, 272}, {108, 454}, {199, 365}, {245, 351}, {253,
343}, {173, 262}, {222, 373}, {168, 260}, {153, 311}, {170, 261}, {82, 483},
{152, 297}, {151, 291}, {165, 272}, {43, 412}, {150, 289}, {141, 314}, {140,
315}, {184, 271}, {171, 273}, {98, 473}, {120, 452}, {183, 267}, {40, 406},
{203, 372}, {205, 370}, {172, 364}, {170, 363}, {233, 296}, {148, 342}, {174,
364}, {216, 282}, {223, 285}, {160, 355}, {169, 362}, {164, 359}, {179, 368},
{161, 356}, {163, 358}, {180, 369}, {231, 290}, {232, 302}, {138, 333}, {162,
357}, {218, 274}, {243, 315}, {21, 476}, {229, 300}, {228, 303}, {79, 387},
{223, 275}, {165, 360}, {227, 302}, {145, 351}, {232, 294}, {240, 318}, {75,
388}, {166, 361}, {254, 305}, {229, 308}, {200, 283}, {243, 288}, {247, 292},
{24, 460}, {241, 293}, {218, 268}, {230, 305}, {231, 304}, {129, 345}, {130,
346}, {133, 348}, {135, 350}, {207, 278}, {134, 349}, {176, 365}, {178, 367},
{222, 256}, {132, 347}, {177, 366}, {173, 370}, {135, 359}, {136, 360}, {101,
391}, {110, 396}, {215, 308}, {183, 338}, {154, 380}, {132, 355}, {37, 461},
{240, 282}, {221, 305}, {146, 383}, {186, 343}, {72, 423}, {145, 382}, {134,
361}, {127, 400}, {202, 293}, {247, 280}, {207, 319}, {74, 443}, {160, 337},
{210, 291}, {146, 352}, {211, 289}, {216, 298}, {217, 299}, {131, 374}, {148,
353}, {194, 314}, {161, 344}, {219, 289}, {113, 397}, {114, 398}, {189, 321},
{190, 322}, {70, 443}, {159, 354}, {225, 284}, {213, 299}, {196, 315} }>;
(II) A more general form is to represent the graph as the orbit of {12, 13}
under the group generated by the following permutations:
a: (1, 2, 7, 26, 87, 61)(3, 12, 27, 90, 222, 146)(4, 17, 28, 35, 115, 171)(5,
20, 29, 96, 84, 155)(6, 21, 71, 189, 304, 209)(8, 31, 88, 223, 163, 13)(9, 18,
64, 93, 125, 95)(10, 38, 89, 225, 165, 128)(11, 40, 124, 44, 51, 148)(14, 50,
91, 134, 261, 184)(15, 54, 49, 142, 216, 249)(16, 56, 94, 181, 218, 126)(19, 65,
97, 233, 92, 228)(22, 76, 100, 240, 373, 352)(23, 80, 190, 195, 130, 273)(24,
82, 59, 159, 219, 252)(25, 68, 57, 157, 231, 45)(30, 98, 235, 200, 205, 353)(32,
105, 170, 41, 127, 137)(33, 83, 152, 149, 282, 42)(34, 110, 160, 295, 274,
237)(36, 117, 172, 138, 268, 139)(37, 119, 161, 296, 169, 303)(39, 123, 226,
147, 287, 371)(43, 129, 202, 208, 313, 334)(46, 75, 47, 60, 103, 106)(48, 67,
102, 62, 121, 116)(52, 107, 143, 283, 370, 270)(53, 150, 217, 166, 168, 211)(55,
154, 144, 118, 229, 305)(58, 158, 221, 308, 230, 109)(63, 167, 289, 153, 85,
175)(66, 176, 279, 294, 286, 388)(69, 122, 232, 302, 291, 151)(70, 185, 317,
411, 464, 423)(72, 180, 272, 275, 358, 77)(73, 81, 212, 239, 236, 224)(74, 133,
277, 284, 360, 183)(78, 204, 241, 349, 269, 271)(79, 206, 104, 244, 298,
390)(86, 215, 112, 257, 290, 201)(99, 238, 131, 192, 333, 363)(101, 193, 162,
297, 255, 379)(108, 250, 299, 361, 260, 395)(111, 254, 245, 380, 173, 306)(113,
258, 164, 301, 179, 312)(114, 259, 177, 311, 220, 264)(120, 265, 246, 342, 300,
406)(132, 276, 145, 196, 314, 364)(135, 281, 285, 310, 288, 392)(136, 267, 182,
243, 292, 140)(141, 174, 242, 156, 247, 315)(178, 253, 280, 400, 266, 263)(186,
321, 330, 433, 407, 476)(187, 324, 412, 415, 346, 450)(188, 326, 207, 354, 428,
439)(191, 328, 378, 419, 408, 477)(194, 336, 355, 457, 382, 431)(197, 343, 356,
458, 362, 463)(198, 256, 383, 248, 381, 307)(199, 345, 293, 401, 466, 467)(203,
214, 227, 210, 278, 341)(213, 365, 389, 456, 454, 482)(234, 318, 369, 449, 386,
468)(251, 384, 402, 473, 329, 432)(262, 396, 337, 441, 435, 480)(309, 320, 348,
451, 391, 470)(316, 405, 475, 461, 486, 344)(319, 325, 425, 374, 410, 385)(322,
421, 394, 472, 376, 448)(323, 422, 332, 434, 460, 483)(327, 427, 338, 443, 399,
420)(331, 414, 357, 459, 442, 479)(335, 437, 398, 409, 446, 485)(339, 444, 359,
462, 368, 413)(340, 445, 366, 465, 429, 447)(347, 417, 351, 416, 404, 474)(350,
453, 403, 438, 455, 484)(367, 440, 452, 481, 375, 430)(372, 426, 377, 424, 387,
469)(393, 471, 436, 478, 397, 418) (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, 6)(3, 11)(4, 16)(5, 19)(7, 25)(8, 30)(9, 34)(10, 37)(12, 43)(13, 46)(14,
49)(15, 53)(17, 59)(18, 63)(20, 66)(21, 70)(22, 75)(23, 36)(24, 39)(26, 86)(27,
52)(28, 92)(29, 95)(31, 102)(32, 104)(33, 108)(35, 114)(38, 47)(40, 77)(42,
55)(44, 133)(45, 135)(48, 140)(50, 145)(51, 147)(54, 120)(56, 131)(60, 162)(61,
164)(62, 71)(64, 169)(65, 173)(67, 179)(68, 180)(69, 183)(72, 191)(73, 194)(74,
197)(76, 199)(78, 152)(79, 153)(80, 207)(81, 211)(82, 213)(83, 124)(84, 94)(85,
97)(87, 221)(88, 111)(89, 224)(90, 227)(91, 168)(93, 115)(96, 202)(98, 234)(99,
184)(100, 107)(101, 109)(103, 243)(105, 247)(106, 248)(110, 251)(112, 116)(113,
118)(119, 262)(121, 225)(122, 267)(123, 144)(125, 239)(126, 266)(127, 269)(128,
151)(129, 186)(130, 171)(132, 136)(134, 280)(137, 139)(138, 141)(142, 235)(143,
149)(146, 286)(148, 288)(150, 274)(154, 290)(155, 278)(156, 279)(157, 284)(158,
256)(159, 293)(160, 165)(161, 166)(163, 300)(167, 241)(170, 260)(172, 219)(174,
203)(175, 299)(176, 309)(177, 268)(178, 182)(181, 314)(185, 316)(187, 196)(188,
198)(189, 327)(190, 287)(192, 332)(193, 335)(195, 340)(200, 348)(201, 350)(204,
351)(205, 228)(206, 344)(208, 357)(209, 359)(210, 317)(212, 362)(214, 368)(215,
369)(218, 289)(220, 226)(222, 229)(223, 302)(230, 231)(232, 285)(233, 246)(236,
374)(237, 375)(238, 376)(240, 377)(244, 378)(245, 249)(250, 382)(252, 387)(253,
389)(254, 330)(255, 283)(257, 391)(258, 393)(259, 394)(263, 372)(264, 398)(265,
399)(270, 307)(271, 329)(272, 337)(273, 346)(275, 291)(276, 366)(277, 385)(281,
347)(282, 298)(292, 333)(294, 403)(295, 404)(296, 405)(297, 322)(301, 407)(303,
408)(304, 305)(306, 397)(308, 373)(310, 367)(311, 323)(312, 331)(313, 315)(318,
413)(319, 324)(320, 417)(321, 365)(325, 395)(326, 420)(328, 430)(334, 436)(336,
438)(338, 341)(339, 342)(343, 345)(349, 452)(352, 454)(353, 455)(354, 456)(355,
360)(356, 361)(358, 461)(363, 446)(364, 428)(370, 371)(379, 460)(380, 442)(381,
412)(383, 429)(386, 388)(390, 435)(392, 402)(396, 422)(400, 466)(401, 449)(406,
464)(409, 416)(410, 418)(415, 470)(419, 433)(423, 469)(424, 475)(425, 474)(427,
440)(432, 465)(434, 444)(437, 450)(439, 477)(441, 458)(443, 476)(447, 459)(448,
453)(451, 471)(457, 472)(462, 463)(467, 483)(468, 480)(473, 479)(478, 485)(481,
482)
C4[ 486, 31 ]
486
-1 2 6 61 164
-2 1 301 7 21
-3 22 248 8 163
-4 23 177 125 9
-5 165 24 190 10
-6 407 1 25 70
-7 2 179 26 71
-8 3 27 72 392
-9 4 28 73 119
-10 5 358 29 74
-11 300 106 30 75
-12 13 381 31 76
-13 77 12 288 146
-14 78 127 108 32
-15 33 79 282 241
-16 34 36 268 239
-17 80 311 18 95
-18 35 81 17 161
-19 287 37 39 160
-20 38 82 128 195
-21 2 68 476 185
-22 386 3 83 186
-23 187 376 4 84
-24 188 5 85 460
-25 67 6 62 86
-26 189 312 7 87
-27 88 100 8 307
-28 220 190 9 64
-29 89 59 130 10
-30 11 191 402 52
-31 12 90 135 180
-32 14 91 192 263
-33 352 15 49 193
-34 92 16 194 262
-35 264 93 18 195
-36 16 94 238 196
-37 95 19 197 461
-38 77 133 96 20
-39 198 379 19 97
-40 46 47 98 406
-41 99 134 280 184
-42 101 249 54 373
-43 199 46 102 412
-44 265 200 47 103
-45 209 102 201 48
-46 286 148 40 43
-47 44 66 202 40
-48 45 157 203 313
-49 33 104 269 152
-50 137 105 204 250
-51 246 60 106 205
-52 111 270 30 107
-53 298 167 108 153
-54 83 206 349 42
-55 308 245 109 120
-56 110 236 117 139
-57 112 71 116 62
-58 154 113 290 118
-59 323 29 63 207
-60 176 124 51 208
-61 209 1 258 87
-62 210 57 25 129
-63 166 211 59 114
-64 212 115 28 296
-65 123 371 119 295
-66 47 213 151 340
-67 231 25 334 214
-68 121 102 215 21
-69 176 341 122 151
-70 443 180 6 316
-71 57 7 317 186
-72 89 423 8 318
-73 319 181 9 328
-74 320 443 182 10
-75 11 124 388 129
-76 12 321 468 152
-77 13 464 234 38
-78 199 14 322 216
-79 387 15 323 217
-80 155 324 17 448
-81 378 325 18 218
-82 326 20 175 483
-83 22 162 54 142
-84 165 23 89 219
-85 220 166 24 150
-86 221 331 25 327
-87 113 26 61 304
-88 222 27 281 272
-89 277 72 29 84
-90 198 223 31 240
-91 299 170 32 241
-92 34 287 169 226
-93 35 169 171 239
-94 36 224 160 172
-95 37 224 17 171
-96 38 159 225 273
-97 39 226 161 274
-98 473 40 107 328
-99 325 139 41 329
-100 330 234 27 149
-101 331 123 391 42
-102 45 68 227 43
-103 44 279 148 313
-104 332 168 49 372
-105 134 178 333 50
-106 11 334 51 294
-107 143 254 52 98
-108 14 454 335 53
-109 55 144 257 312
-110 396 56 336 228
-111 347 337 52 229
-112 57 357 338 230
-113 397 58 339 87
-114 398 115 63 340
-115 114 125 64 130
-116 231 341 57 208
-117 56 181 314 131
-118 221 342 58 306
-119 343 486 9 65
-120 55 452 124 344
-121 68 157 278 202
-122 232 69 279 203
-123 101 233 256 65
-124 235 60 75 120
-125 4 115 236 303
-126 212 138 237 139
-127 14 400 238 261
-128 275 155 183 20
-129 345 62 415 75
-130 115 346 29 394
-131 374 137 117 251
-132 242 355 138 347
-133 243 399 38 348
-134 105 41 349 361
-135 359 140 31 350
-136 242 281 360 141
-137 266 50 184 131
-138 132 333 126 181
-139 99 56 145 126
-140 135 315 174 284
-141 266 136 292 314
-142 244 83 149 271
-143 245 235 107 283
-144 158 246 173 109
-145 247 139 382 351
-146 352 13 223 383
-147 233 248 162 228
-148 342 353 46 103
-149 100 255 249 142
-150 289 390 85 250
-151 66 69 278 291
-152 297 49 216 76
-153 311 217 53 252
-154 265 58 380 230
-155 80 225 128 252
-156 253 243 276 267
-157 121 189 48 257
-158 144 201 258 229
-159 167 354 422 96
-160 355 94 337 19
-161 344 356 18 97
-162 309 147 357 83
-163 222 310 3 358
-164 1 221 359 393
-165 5 84 272 360
-166 63 85 206 361
-167 168 159 259 53
-168 167 104 260 175
-169 92 93 405 362
-170 253 363 91 261
-171 93 259 95 273
-172 364 192 94 218
-173 144 370 404 262
-174 364 267 140 263
-175 264 168 82 217
-176 365 69 60 445
-177 289 366 4 446
-178 242 367 105 197
-179 368 7 436 230
-180 70 225 369 31
-181 138 73 117 295
-182 242 310 247 74
-183 309 267 128 338
-184 137 271 41 395
-185 399 272 405 21
-186 22 343 71 470
-187 23 409 431 313
-188 484 24 410 227
-189 321 157 26 411
-190 322 5 412 28
-191 224 413 469 30
-192 410 172 32 384
-193 33 226 414 470
-194 34 430 324 314
-195 35 421 415 20
-196 431 36 315 416
-197 178 476 37 417
-198 418 484 90 39
-199 78 365 480 43
-200 44 419 432 283
-201 45 420 158 479
-202 121 47 346 293
-203 122 48 372 428
-204 421 345 50 249
-205 408 51 370 251
-206 166 422 469 54
-207 319 453 278 59
-208 60 401 116 450
-209 45 433 423 61
-210 291 424 62 326
-211 244 289 63 395
-212 419 126 425 64
-213 66 299 420 467
-214 67 232 426 439
-215 308 68 414 427
-216 78 298 282 152
-217 79 299 153 175
-218 81 268 172 274
-219 332 289 84 428
-220 429 335 28 85
-221 118 305 86 164
-222 88 256 163 373
-223 275 90 146 285
-224 385 191 94 95
-225 155 180 96 284
-226 92 193 97 383
-227 188 102 377 302
-228 110 147 303 371
-229 308 111 300 158
-230 154 112 179 305
-231 67 290 116 304
-232 122 214 302 294
-233 123 147 237 296
-234 77 100 430 479
-235 143 124 378 329
-236 56 410 125 477
-237 233 431 126 480
-238 36 432 127 425
-239 374 408 16 93
-240 90 433 282 318
-241 91 15 293 394
-242 132 178 136 182
-243 133 156 288 315
-244 211 434 426 142
-245 55 143 435 351
-246 144 375 51 405
-247 145 280 182 292
-248 3 147 403 436
-249 390 149 204 42
-250 50 150 437 482
-251 422 205 438 131
-252 155 434 153 439
-253 440 156 343 170
-254 441 107 305 417
-255 442 149 348 371
-256 123 222 393 350
-257 157 443 459 109
-258 418 158 444 61
-259 167 409 445 171
-260 168 389 446 261
-261 170 269 127 260
-262 34 486 345 173
-263 430 463 174 32
-264 35 447 437 175
-265 44 154 316 481
-266 375 137 141 362
-267 156 183 174 285
-268 363 276 16 218
-269 376 466 49 261
-270 353 370 52 306
-271 467 184 448 142
-272 88 165 185 449
-273 171 96 450 472
-274 435 382 97 218
-275 386 223 128 317
-276 156 268 457 417
-277 451 89 420 292
-278 121 387 151 207
-279 122 366 103 389
-280 452 356 247 41
-281 88 462 453 136
-282 15 379 216 240
-283 143 200 380 370
-284 225 391 140 327
-285 223 267 368 403
-286 429 46 454 302
-287 297 92 381 19
-288 243 13 455 339
-289 177 211 150 219
-290 231 442 58 399
-291 210 388 302 151
-292 277 247 392 141
-293 396 202 456 241
-294 232 465 456 106
-295 441 181 457 65
-296 233 458 316 64
-297 287 320 459 152
-298 377 216 53 460
-299 398 91 213 217
-300 11 367 229 461
-301 308 462 2 471
-302 286 232 291 227
-303 463 475 125 228
-304 231 330 464 87
-305 221 254 230 406
-306 396 474 270 118
-307 397 455 27 371
-308 55 301 215 229
-309 321 445 183 162
-310 182 413 163 438
-311 485 465 17 153
-312 26 478 413 109
-313 187 48 103 466
-314 117 194 404 141
-315 243 400 140 196
-316 265 70 337 296
-317 275 420 475 71
-318 331 367 72 240
-319 363 73 436 207
-320 297 330 366 74
-321 309 189 356 76
-322 78 190 447 417
-323 79 432 59 478
-324 80 334 446 194
-325 99 354 81 478
-326 385 210 82 350
-327 365 411 86 284
-328 73 339 372 98
-329 99 453 235 483
-330 100 320 304 458
-331 485 101 86 318
-332 418 104 219 384
-333 385 105 138 402
-334 67 324 467 106
-335 220 414 415 108
-336 110 364 367 412
-337 111 401 160 316
-338 112 423 456 183
-339 288 113 424 328
-340 66 421 114 470
-341 354 69 116 469
-342 430 475 148 118
-343 253 119 186 351
-344 396 423 161 120
-345 389 204 129 262
-346 202 457 437 130
-347 132 111 463 448
-348 133 255 465 433
-349 134 401 54 472
-350 473 135 256 326
-351 145 343 245 421
-352 33 146 476 449
-353 477 148 270 384
-354 341 159 325 403
-355 132 440 160 415
-356 321 280 161 416
-357 112 162 437 449
-358 411 468 163 10
-359 419 135 469 164
-360 165 136 470 427
-361 166 134 365 409
-362 474 266 169 433
-363 319 473 268 170
-364 474 336 172 174
-365 176 199 327 361
-366 177 320 279 472
-367 178 300 336 318
-368 179 477 426 285
-369 440 180 414 373
-370 270 205 173 283
-371 255 228 65 307
-372 462 104 203 328
-373 407 222 369 42
-374 418 239 131 439
-375 266 431 246 468
-376 23 474 465 269
-377 298 419 413 227
-378 81 235 444 426
-379 451 39 479 282
-380 154 480 283 416
-381 12 287 478 438
-382 145 481 274 450
-383 453 146 226 471
-384 353 332 455 192
-385 333 224 326 471
-386 22 275 459 481
-387 79 278 444 477
-388 291 447 75 482
-389 279 345 260 427
-390 424 150 249 483
-391 101 476 447 284
-392 484 444 292 8
-393 256 410 434 164
-394 445 130 416 241
-395 485 211 456 184
-396 110 344 293 306
-397 113 422 425 307
-398 299 114 459 450
-399 133 290 185 482
-400 127 315 458 481
-401 454 337 349 208
-402 484 333 434 30
-403 354 432 248 285
-404 314 458 173 472
-405 441 169 246 185
-406 440 486 40 305
-407 451 463 6 373
-408 462 424 205 239
-409 187 442 259 361
-410 188 192 236 393
-411 189 358 327 461
-412 485 190 336 43
-413 310 377 191 312
-414 335 193 215 369
-415 355 335 129 195
-416 356 380 196 394
-417 254 276 322 197
-418 198 374 332 258
-419 200 212 377 359
-420 277 201 213 317
-421 204 195 340 351
-422 397 159 206 251
-423 209 344 72 338
-424 210 408 390 339
-425 397 212 238 428
-426 244 378 214 368
-427 464 389 215 360
-428 203 425 438 219
-429 220 286 451 448
-430 342 234 194 263
-431 187 375 237 196
-432 200 323 238 403
-433 209 348 240 362
-434 244 402 393 252
-435 475 245 467 274
-436 319 179 248 483
-437 264 346 357 250
-438 310 381 251 428
-439 374 455 214 252
-440 253 355 369 406
-441 254 466 295 405
-442 255 409 290 468
-443 454 70 257 74
-444 387 378 258 392
-445 176 309 259 394
-446 177 324 479 260
-447 264 322 388 391
-448 429 80 347 271
-449 352 452 357 272
-450 398 382 273 208
-451 407 429 277 379
-452 280 457 449 120
-453 281 207 383 329
-454 286 443 401 108
-455 288 307 384 439
-456 293 294 338 395
-457 276 452 346 295
-458 330 400 404 296
-459 297 386 398 257
-460 473 298 24 471
-461 300 37 411 480
-462 408 301 281 372
-463 407 303 347 263
-464 77 486 304 427
-465 376 311 348 294
-466 441 269 313 482
-467 213 334 435 271
-468 375 442 358 76
-469 341 191 359 206
-470 193 360 186 340
-471 385 301 383 460
-472 366 349 404 273
-473 363 350 460 98
-474 364 376 306 362
-475 342 303 435 317
-476 352 391 21 197
-477 353 387 236 368
-478 312 323 325 381
-479 201 234 379 446
-480 199 237 380 461
-481 265 386 400 382
-482 388 399 466 250
-483 82 390 436 329
-484 198 188 402 392
-485 331 311 412 395
-486 464 119 262 406
0