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