Graph forms
for C4 [ 512, 10 ] = PS(32,32;3)
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On this page are computer-accessible forms for the graph C4[ 512, 10 ] =
PS(32,32;3).
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {32, 34}, {416, 418}, {160, 162}, {288, 290}, {64, 67}, {496,
499}, {448, 451}, {192, 195}, {112, 115}, {240, 243}, {320, 323}, {368, 371},
{48, 52}, {432, 436}, {176, 180}, {304, 308}, {128, 134}, {384, 390}, {256,
262}, {80, 87}, {480, 487}, {464, 471}, {224, 231}, {208, 215}, {96, 103}, {336,
343}, {352, 359}, {80, 88}, {464, 472}, {208, 216}, {336, 344}, {96, 106}, {480,
490}, {224, 234}, {352, 362}, {48, 59}, {432, 443}, {384, 395}, {176, 187},
{128, 139}, {256, 267}, {304, 315}, {112, 124}, {496, 508}, {240, 252}, {368,
380}, {64, 78}, {448, 462}, {192, 206}, {320, 334}, {16, 31}, {416, 431}, {400,
415}, {160, 175}, {144, 159}, {32, 47}, {272, 287}, {288, 303}, {1, 17}, {399,
415}, {398, 414}, {397, 413}, {396, 412}, {395, 411}, {394, 410}, {393, 409},
{392, 408}, {391, 407}, {390, 406}, {389, 405}, {388, 404}, {387, 403}, {386,
402}, {385, 401}, {143, 159}, {142, 158}, {141, 157}, {140, 156}, {139, 155},
{138, 154}, {137, 153}, {2, 18}, {3, 19}, {4, 20}, {5, 21}, {6, 22}, {7, 23},
{8, 24}, {9, 25}, {10, 26}, {11, 27}, {12, 28}, {13, 29}, {14, 30}, {15, 31},
{129, 145}, {130, 146}, {131, 147}, {132, 148}, {133, 149}, {134, 150}, {135,
151}, {136, 152}, {257, 273}, {258, 274}, {259, 275}, {260, 276}, {261, 277},
{262, 278}, {263, 279}, {264, 280}, {265, 281}, {266, 282}, {267, 283}, {268,
284}, {269, 285}, {270, 286}, {271, 287}, {3, 18}, {399, 414}, {397, 412}, {395,
410}, {393, 408}, {391, 406}, {389, 404}, {387, 402}, {143, 158}, {141, 156},
{139, 154}, {5, 20}, {7, 22}, {9, 24}, {11, 26}, {13, 28}, {15, 30}, {131, 146},
{133, 148}, {135, 150}, {137, 152}, {259, 274}, {261, 276}, {263, 278}, {265,
280}, {267, 282}, {269, 284}, {271, 286}, {2, 17}, {492, 511}, {488, 507}, {484,
503}, {398, 413}, {394, 409}, {390, 405}, {386, 401}, {142, 157}, {138, 153},
{6, 21}, {10, 25}, {14, 29}, {100, 119}, {104, 123}, {108, 127}, {130, 145},
{134, 149}, {228, 247}, {232, 251}, {236, 255}, {258, 273}, {262, 277}, {266,
281}, {270, 285}, {356, 375}, {360, 379}, {364, 383}, {33, 53}, {495, 507},
{494, 506}, {493, 505}, {492, 504}, {487, 499}, {486, 498}, {485, 497}, {427,
447}, {426, 446}, {425, 445}, {424, 444}, {419, 439}, {418, 438}, {417, 437},
{171, 191}, {170, 190}, {169, 189}, {168, 188}, {163, 183}, {162, 182}, {161,
181}, {34, 54}, {35, 55}, {40, 60}, {41, 61}, {42, 62}, {43, 63}, {101, 113},
{102, 114}, {103, 115}, {108, 120}, {109, 121}, {110, 122}, {111, 123}, {229,
241}, {230, 242}, {231, 243}, {236, 248}, {237, 249}, {238, 250}, {239, 251},
{289, 309}, {290, 310}, {291, 311}, {296, 316}, {297, 317}, {298, 318}, {299,
319}, {357, 369}, {358, 370}, {359, 371}, {364, 376}, {365, 377}, {366, 378},
{367, 379}, {39, 50}, {491, 510}, {489, 508}, {483, 502}, {481, 500}, {431,
442}, {429, 440}, {423, 434}, {225, 244}, {175, 186}, {173, 184}, {167, 178},
{45, 56}, {47, 58}, {97, 116}, {99, 118}, {105, 124}, {107, 126}, {227, 246},
{233, 252}, {235, 254}, {295, 306}, {301, 312}, {303, 314}, {353, 372}, {355,
374}, {361, 380}, {363, 382}, {4, 19}, {490, 509}, {482, 501}, {456, 479}, {430,
441}, {422, 433}, {396, 411}, {388, 403}, {200, 223}, {174, 185}, {166, 177},
{140, 155}, {12, 27}, {38, 49}, {46, 57}, {72, 95}, {98, 117}, {106, 125}, {132,
147}, {226, 245}, {234, 253}, {260, 275}, {268, 283}, {294, 305}, {302, 313},
{328, 351}, {354, 373}, {362, 381}, {65, 89}, {463, 471}, {462, 470}, {461,
469}, {460, 468}, {459, 467}, {458, 466}, {457, 465}, {455, 479}, {454, 478},
{453, 477}, {452, 476}, {451, 475}, {450, 474}, {449, 473}, {207, 215}, {206,
214}, {205, 213}, {204, 212}, {203, 211}, {202, 210}, {201, 209}, {199, 223},
{198, 222}, {197, 221}, {196, 220}, {195, 219}, {194, 218}, {193, 217}, {66,
90}, {67, 91}, {68, 92}, {69, 93}, {70, 94}, {71, 95}, {73, 81}, {74, 82}, {75,
83}, {76, 84}, {77, 85}, {78, 86}, {79, 87}, {321, 345}, {322, 346}, {323, 347},
{324, 348}, {325, 349}, {326, 350}, {327, 351}, {329, 337}, {330, 338}, {331,
339}, {332, 340}, {333, 341}, {334, 342}, {335, 343}, {65, 88}, {463, 470},
{461, 468}, {459, 466}, {455, 478}, {453, 476}, {451, 474}, {449, 472}, {207,
214}, {205, 212}, {203, 210}, {199, 222}, {197, 220}, {195, 218}, {193, 216},
{67, 90}, {69, 92}, {71, 94}, {75, 82}, {77, 84}, {79, 86}, {321, 344}, {323,
346}, {325, 348}, {327, 350}, {331, 338}, {333, 340}, {335, 342}, {36, 63},
{462, 469}, {458, 465}, {454, 477}, {450, 473}, {428, 439}, {424, 435}, {420,
447}, {206, 213}, {202, 209}, {198, 221}, {194, 217}, {172, 183}, {168, 179},
{164, 191}, {40, 51}, {44, 55}, {66, 89}, {70, 93}, {74, 81}, {78, 85}, {292,
319}, {296, 307}, {300, 311}, {322, 345}, {326, 349}, {330, 337}, {334, 341},
{36, 56}, {491, 503}, {490, 502}, {489, 501}, {488, 500}, {483, 511}, {482,
510}, {481, 509}, {431, 435}, {430, 434}, {429, 433}, {423, 443}, {422, 442},
{421, 441}, {420, 440}, {225, 253}, {175, 179}, {174, 178}, {173, 177}, {167,
187}, {166, 186}, {165, 185}, {164, 184}, {37, 57}, {38, 58}, {39, 59}, {45,
49}, {46, 50}, {47, 51}, {97, 125}, {98, 126}, {99, 127}, {104, 116}, {105,
117}, {106, 118}, {107, 119}, {226, 254}, {227, 255}, {232, 244}, {233, 245},
{234, 246}, {235, 247}, {292, 312}, {293, 313}, {294, 314}, {295, 315}, {301,
305}, {302, 306}, {303, 307}, {353, 381}, {354, 382}, {355, 383}, {360, 372},
{361, 373}, {362, 374}, {363, 375}, {33, 60}, {495, 498}, {487, 506}, {485,
504}, {427, 438}, {425, 436}, {419, 446}, {417, 444}, {171, 182}, {169, 180},
{163, 190}, {161, 188}, {35, 62}, {41, 52}, {43, 54}, {101, 120}, {103, 122},
{111, 114}, {229, 248}, {231, 250}, {239, 242}, {289, 316}, {291, 318}, {297,
308}, {299, 310}, {357, 376}, {359, 378}, {367, 370}, {8, 23}, {494, 497}, {486,
505}, {460, 467}, {452, 475}, {426, 437}, {418, 445}, {392, 407}, {204, 211},
{196, 219}, {170, 181}, {162, 189}, {34, 61}, {42, 53}, {68, 91}, {76, 83},
{102, 121}, {110, 113}, {136, 151}, {230, 249}, {238, 241}, {264, 279}, {290,
317}, {298, 309}, {324, 347}, {332, 339}, {358, 377}, {366, 369}, {1, 32}, {401,
432}, {385, 416}, {145, 176}, {17, 48}, {129, 160}, {257, 288}, {273, 304}, {86,
112}, {470, 496}, {214, 240}, {342, 368}, {72, 96}, {456, 480}, {200, 224},
{328, 352}, {73, 96}, {473, 496}, {457, 480}, {217, 240}, {201, 224}, {89, 112},
{329, 352}, {345, 368}, {30, 48}, {414, 432}, {158, 176}, {286, 304}, {16, 32},
{400, 416}, {144, 160}, {272, 288}, {19, 34}, {415, 430}, {413, 428}, {411,
426}, {409, 424}, {407, 422}, {405, 420}, {403, 418}, {159, 174}, {157, 172},
{155, 170}, {153, 168}, {151, 166}, {149, 164}, {147, 162}, {21, 36}, {23, 38},
{25, 40}, {27, 42}, {29, 44}, {31, 46}, {275, 290}, {277, 292}, {279, 294},
{281, 296}, {283, 298}, {285, 300}, {287, 302}, {17, 35}, {413, 431}, {412,
430}, {409, 427}, {408, 426}, {405, 423}, {404, 422}, {401, 419}, {157, 175},
{156, 174}, {153, 171}, {152, 170}, {149, 167}, {148, 166}, {145, 163}, {20,
38}, {21, 39}, {24, 42}, {25, 43}, {28, 46}, {29, 47}, {273, 291}, {276, 294},
{277, 295}, {280, 298}, {281, 299}, {284, 302}, {285, 303}, {18, 33}, {414,
429}, {410, 425}, {406, 421}, {402, 417}, {158, 173}, {154, 169}, {150, 165},
{146, 161}, {22, 37}, {26, 41}, {30, 45}, {274, 289}, {278, 293}, {282, 297},
{286, 301}, {18, 36}, {479, 489}, {478, 488}, {471, 481}, {411, 429}, {410,
428}, {403, 421}, {402, 420}, {223, 233}, {222, 232}, {215, 225}, {155, 173},
{154, 172}, {147, 165}, {146, 164}, {19, 37}, {26, 44}, {27, 45}, {87, 97}, {94,
104}, {95, 105}, {274, 292}, {275, 293}, {282, 300}, {283, 301}, {343, 353},
{350, 360}, {351, 361}, {20, 35}, {472, 495}, {412, 427}, {404, 419}, {216,
239}, {156, 171}, {148, 163}, {28, 43}, {88, 111}, {276, 291}, {284, 299}, {344,
367}, {81, 104}, {479, 486}, {477, 484}, {475, 482}, {471, 494}, {469, 492},
{467, 490}, {465, 488}, {223, 230}, {221, 228}, {219, 226}, {215, 238}, {213,
236}, {211, 234}, {209, 232}, {83, 106}, {85, 108}, {87, 110}, {91, 98}, {93,
100}, {95, 102}, {337, 360}, {339, 362}, {341, 364}, {343, 366}, {347, 354},
{349, 356}, {351, 358}, {81, 107}, {477, 487}, {476, 486}, {473, 483}, {472,
482}, {469, 495}, {468, 494}, {465, 491}, {221, 231}, {220, 230}, {217, 227},
{216, 226}, {213, 239}, {212, 238}, {209, 235}, {84, 110}, {85, 111}, {88, 98},
{89, 99}, {92, 102}, {93, 103}, {337, 363}, {340, 366}, {341, 367}, {344, 354},
{345, 355}, {348, 358}, {349, 359}, {82, 105}, {478, 485}, {474, 481}, {470,
493}, {466, 489}, {222, 229}, {218, 225}, {214, 237}, {210, 233}, {86, 109},
{90, 97}, {94, 101}, {338, 361}, {342, 365}, {346, 353}, {350, 357}, {22, 40},
{475, 485}, {474, 484}, {467, 493}, {466, 492}, {415, 417}, {407, 425}, {406,
424}, {219, 229}, {218, 228}, {211, 237}, {210, 236}, {159, 161}, {151, 169},
{150, 168}, {23, 41}, {31, 33}, {82, 108}, {83, 109}, {90, 100}, {91, 101},
{278, 296}, {279, 297}, {287, 289}, {338, 364}, {339, 365}, {346, 356}, {347,
357}, {24, 39}, {476, 483}, {468, 491}, {408, 423}, {220, 227}, {212, 235},
{152, 167}, {84, 107}, {92, 99}, {280, 295}, {340, 363}, {348, 355}, {50, 80},
{434, 464}, {178, 208}, {306, 336}, {37, 64}, {421, 448}, {165, 192}, {293,
320}, {44, 64}, {428, 448}, {172, 192}, {300, 320}, {61, 80}, {445, 464}, {189,
208}, {317, 336}, {51, 65}, {447, 461}, {446, 460}, {443, 457}, {442, 456},
{439, 453}, {438, 452}, {435, 449}, {191, 205}, {190, 204}, {187, 201}, {186,
200}, {183, 197}, {182, 196}, {179, 193}, {54, 68}, {55, 69}, {58, 72}, {59,
73}, {62, 76}, {63, 77}, {307, 321}, {310, 324}, {311, 325}, {314, 328}, {315,
329}, {318, 332}, {319, 333}, {52, 71}, {444, 463}, {440, 459}, {436, 455},
{188, 207}, {184, 203}, {180, 199}, {56, 75}, {60, 79}, {308, 327}, {312, 331},
{316, 335}, {49, 68}, {443, 462}, {441, 460}, {435, 454}, {433, 452}, {187,
206}, {185, 204}, {179, 198}, {177, 196}, {51, 70}, {57, 76}, {59, 78}, {305,
324}, {307, 326}, {313, 332}, {315, 334}, {52, 66}, {445, 459}, {444, 458},
{437, 451}, {436, 450}, {189, 203}, {188, 202}, {181, 195}, {180, 194}, {53,
67}, {60, 74}, {61, 75}, {308, 322}, {309, 323}, {316, 330}, {317, 331}, {50,
69}, {442, 461}, {434, 453}, {186, 205}, {178, 197}, {58, 77}, {306, 325}, {314,
333}, {53, 72}, {447, 450}, {439, 458}, {437, 456}, {191, 194}, {183, 202},
{181, 200}, {55, 74}, {63, 66}, {309, 328}, {311, 330}, {319, 322}, {49, 79},
{441, 455}, {440, 454}, {433, 463}, {185, 199}, {184, 198}, {177, 207}, {56,
70}, {57, 71}, {305, 335}, {312, 326}, {313, 327}, {54, 73}, {446, 449}, {438,
457}, {190, 193}, {182, 201}, {62, 65}, {310, 329}, {318, 321}, {100, 128},
{356, 384}, {117, 144}, {373, 400}, {122, 144}, {378, 400}, {109, 128}, {365,
384}, {119, 130}, {125, 136}, {127, 138}, {375, 386}, {381, 392}, {383, 394},
{113, 135}, {120, 142}, {121, 143}, {369, 391}, {376, 398}, {377, 399}, {118,
129}, {126, 137}, {374, 385}, {382, 393}, {114, 136}, {115, 137}, {118, 140},
{119, 141}, {123, 129}, {126, 132}, {127, 133}, {370, 392}, {371, 393}, {374,
396}, {375, 397}, {379, 385}, {382, 388}, {383, 389}, {116, 143}, {120, 131},
{124, 135}, {372, 399}, {376, 387}, {380, 391}, {113, 140}, {115, 142}, {121,
132}, {123, 134}, {369, 396}, {371, 398}, {377, 388}, {379, 390}, {116, 138},
{117, 139}, {124, 130}, {125, 131}, {372, 394}, {373, 395}, {380, 386}, {381,
387}, {114, 141}, {122, 133}, {370, 397}, {378, 389}, {228, 256}, {16, 501},
{245, 272}, {16, 506}, {250, 272}, {237, 256}, {2, 503}, {8, 509}, {10, 511},
{247, 258}, {253, 264}, {255, 266}, {7, 497}, {14, 504}, {15, 505}, {241, 263},
{248, 270}, {249, 271}, {1, 502}, {9, 510}, {246, 257}, {254, 265}, {1, 507},
{4, 510}, {5, 511}, {8, 498}, {9, 499}, {12, 502}, {13, 503}, {242, 264}, {243,
265}, {246, 268}, {247, 269}, {251, 257}, {254, 260}, {255, 261}, {3, 504}, {7,
508}, {15, 500}, {244, 271}, {248, 259}, {252, 263}, {4, 505}, {6, 507}, {12,
497}, {14, 499}, {241, 268}, {243, 270}, {249, 260}, {251, 262}, {2, 508}, {3,
509}, {10, 500}, {11, 501}, {244, 266}, {245, 267}, {252, 258}, {253, 259}, {5,
506}, {13, 498}, {242, 269}, {250, 261}, {6, 512}, {11, 512}, {484, 512}, {493,
512} }>;
(II) A more general form is to represent the graph as the orbit of {32, 34}
under the group generated by the following permutations:
a: (2, 16)(3, 15)(4, 14)(5, 13)(6, 12)(7, 11)(8, 10)(17, 32)(18, 31)(19, 30)(20,
29)(21, 28)(22, 27)(23, 26)(24, 25)(34, 48)(35, 47)(36, 46)(37, 45)(38, 44)(39,
43)(40, 42)(49, 64)(50, 63)(51, 62)(52, 61)(53, 60)(54, 59)(55, 58)(56, 57)(66,
80)(67, 79)(68, 78)(69, 77)(70, 76)(71, 75)(72, 74)(81, 96)(82, 95)(83, 94)(84,
93)(85, 92)(86, 91)(87, 90)(88, 89)(98, 112)(99, 111)(100, 110)(101, 109)(102,
108)(103, 107)(104, 106)(113, 128)(114, 127)(115, 126)(116, 125)(117, 124)(118,
123)(119, 122)(120, 121)(130, 144)(131, 143)(132, 142)(133, 141)(134, 140)(135,
139)(136, 138)(145, 160)(146, 159)(147, 158)(148, 157)(149, 156)(150, 155)(151,
154)(152, 153)(162, 176)(163, 175)(164, 174)(165, 173)(166, 172)(167, 171)(168,
170)(177, 192)(178, 191)(179, 190)(180, 189)(181, 188)(182, 187)(183, 186)(184,
185)(194, 208)(195, 207)(196, 206)(197, 205)(198, 204)(199, 203)(200, 202)(209,
224)(210, 223)(211, 222)(212, 221)(213, 220)(214, 219)(215, 218)(216, 217)(226,
240)(227, 239)(228, 238)(229, 237)(230, 236)(231, 235)(232, 234)(241, 256)(242,
255)(243, 254)(244, 253)(245, 252)(246, 251)(247, 250)(248, 249)(258, 272)(259,
271)(260, 270)(261, 269)(262, 268)(263, 267)(264, 266)(273, 288)(274, 287)(275,
286)(276, 285)(277, 284)(278, 283)(279, 282)(280, 281)(290, 304)(291, 303)(292,
302)(293, 301)(294, 300)(295, 299)(296, 298)(305, 320)(306, 319)(307, 318)(308,
317)(309, 316)(310, 315)(311, 314)(312, 313)(322, 336)(323, 335)(324, 334)(325,
333)(326, 332)(327, 331)(328, 330)(337, 352)(338, 351)(339, 350)(340, 349)(341,
348)(342, 347)(343, 346)(344, 345)(354, 368)(355, 367)(356, 366)(357, 365)(358,
364)(359, 363)(360, 362)(369, 384)(370, 383)(371, 382)(372, 381)(373, 380)(374,
379)(375, 378)(376, 377)(386, 400)(387, 399)(388, 398)(389, 397)(390, 396)(391,
395)(392, 394)(401, 416)(402, 415)(403, 414)(404, 413)(405, 412)(406, 411)(407,
410)(408, 409)(418, 432)(419, 431)(420, 430)(421, 429)(422, 428)(423, 427)(424,
426)(433, 448)(434, 447)(435, 446)(436, 445)(437, 444)(438, 443)(439, 442)(440,
441)(450, 464)(451, 463)(452, 462)(453, 461)(454, 460)(455, 459)(456, 458)(465,
480)(466, 479)(467, 478)(468, 477)(469, 476)(470, 475)(471, 474)(472, 473)(482,
496)(483, 495)(484, 494)(485, 493)(486, 492)(487, 491)(488, 490)(497, 512)(498,
511)(499, 510)(500, 509)(501, 508)(502, 507)(503, 506)(504, 505) (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, 511, 512)
c: (1, 17, 48, 52, 71, 95, 102, 114, 141, 157, 172, 192, 195, 219, 226, 254,
265, 281, 296, 316, 335, 343, 366, 378, 389, 405, 420, 440, 459, 467, 490,
502)(2, 30, 41, 57, 72, 92, 111, 119, 142, 154, 165, 181, 196, 216, 235, 243,
266, 278, 289, 305, 336, 340, 359, 383, 390, 402, 429, 445, 460, 480, 483,
507)(3, 27, 34, 62, 73, 89, 104, 124, 143, 151, 174, 186, 197, 213, 228, 248,
267, 275, 298, 310, 321, 337, 368, 372, 391, 415, 422, 434, 461, 477, 492,
512)(4, 24, 43, 51, 74, 86, 97, 113, 144, 148, 167, 191, 198, 210, 237, 253,
268, 288, 291, 315, 322, 350, 361, 377, 392, 412, 431, 439, 462, 474, 485,
501)(5, 21, 36, 56, 75, 83, 106, 118, 129, 145, 176, 180, 199, 223, 230, 242,
269, 285, 300, 320, 323, 347, 354, 382, 393, 409, 424, 444, 463, 471, 494,
506)(6, 18, 45, 61, 76, 96, 99, 123, 130, 158, 169, 185, 200, 220, 239, 247,
270, 282, 293, 309, 324, 344, 363, 371, 394, 406, 417, 433, 464, 468, 487,
511)(7, 31, 38, 50, 77, 93, 108, 128, 131, 155, 162, 190, 201, 217, 232, 252,
271, 279, 302, 314, 325, 341, 356, 376, 395, 403, 426, 438, 449, 465, 496,
500)(8, 28, 47, 55, 78, 90, 101, 117, 132, 152, 171, 179, 202, 214, 225, 241,
272, 276, 295, 319, 326, 338, 365, 381, 396, 416, 419, 443, 450, 478, 489,
505)(9, 25, 40, 60, 79, 87, 110, 122, 133, 149, 164, 184, 203, 211, 234, 246,
257, 273, 304, 308, 327, 351, 358, 370, 397, 413, 428, 448, 451, 475, 482,
510)(10, 22, 33, 49, 80, 84, 103, 127, 134, 146, 173, 189, 204, 224, 227, 251,
258, 286, 297, 313, 328, 348, 367, 375, 398, 410, 421, 437, 452, 472, 491,
499)(11, 19, 42, 54, 65, 81, 112, 116, 135, 159, 166, 178, 205, 221, 236, 256,
259, 283, 290, 318, 329, 345, 360, 380, 399, 407, 430, 442, 453, 469, 484,
504)(12, 32, 35, 59, 66, 94, 105, 121, 136, 156, 175, 183, 206, 218, 229, 245,
260, 280, 299, 307, 330, 342, 353, 369, 400, 404, 423, 447, 454, 466, 493,
509)(13, 29, 44, 64, 67, 91, 98, 126, 137, 153, 168, 188, 207, 215, 238, 250,
261, 277, 292, 312, 331, 339, 362, 374, 385, 401, 432, 436, 455, 479, 486,
498)(14, 26, 37, 53, 68, 88, 107, 115, 138, 150, 161, 177, 208, 212, 231, 255,
262, 274, 301, 317, 332, 352, 355, 379, 386, 414, 425, 441, 456, 476, 495,
503)(15, 23, 46, 58, 69, 85, 100, 120, 139, 147, 170, 182, 193, 209, 240, 244,
263, 287, 294, 306, 333, 349, 364, 384, 387, 411, 418, 446, 457, 473, 488,
508)(16, 20, 39, 63, 70, 82, 109, 125, 140, 160, 163, 187, 194, 222, 233, 249,
264, 284, 303, 311, 334, 346, 357, 373, 388, 408, 427, 435, 458, 470, 481,
497)
C4[ 512, 10 ]
512
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0