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