Graph forms
for C4 [ 512, 663 ] = SS[512,217]
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On this page are computer-accessible forms for the graph C4[ 512, 663 ] =
SS[512,217].
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {1, 3}, {1, 2}, {1, 5}, {1, 4}, {376, 381}, {232, 239}, {375,
383}, {464, 472}, {231, 238}, {231, 237}, {464, 474}, {373, 382}, {500, 511},
{81, 93}, {498, 510}, {497, 509}, {496, 508}, {82, 95}, {83, 94}, {457, 472},
{454, 468}, {236, 248}, {495, 507}, {494, 506}, {493, 505}, {492, 504}, {463,
475}, {454, 466}, {362, 383}, {480, 502}, {488, 510}, {481, 503}, {361, 382},
{462, 473}, {459, 476}, {235, 243}, {487, 511}, {485, 509}, {460, 468}, {357,
381}, {233, 240}, {463, 470}, {460, 469}, {456, 465}, {453, 476}, {459, 465},
{483, 505}, {482, 504}, {461, 471}, {233, 242}, {456, 467}, {234, 241}, {236,
247}, {453, 473}, {491, 503}, {490, 502}, {489, 501}, {455, 475}, {232, 245},
{462, 467}, {458, 471}, {455, 474}, {235, 246}, {234, 244}, {484, 506}, {457,
470}, {461, 466}, {458, 469}, {15, 47}, {211, 243}, {15, 46}, {89, 120}, {76,
109}, {16, 49}, {15, 45}, {478, 508}, {89, 123}, {86, 116}, {73, 107}, {16, 51},
{476, 511}, {92, 127}, {79, 108}, {66, 97}, {17, 50}, {67, 103}, {474, 510},
{473, 509}, {472, 508}, {467, 503}, {466, 502}, {465, 501}, {90, 126}, {87,
115}, {85, 113}, {78, 106}, {77, 105}, {74, 110}, {16, 53}, {92, 121}, {89,
124}, {85, 112}, {17, 52}, {64, 102}, {477, 507}, {92, 122}, {68, 98}, {16, 55},
{90, 125}, {17, 54}, {201, 238}, {202, 237}, {208, 247}, {209, 246}, {17, 56},
{65, 104}, {88, 114}, {479, 501}, {448, 491}, {91, 119}, {471, 507}, {470, 506},
{469, 505}, {468, 504}, {450, 494}, {449, 493}, {448, 492}, {212, 248}, {91,
118}, {450, 495}, {90, 117}, {12, 60}, {452, 500}, {451, 499}, {84, 100}, {83,
99}, {14, 62}, {10, 59}, {449, 496}, {81, 96}, {83, 97}, {451, 497}, {84, 102},
{9, 58}, {88, 107}, {13, 57}, {71, 115}, {69, 112}, {88, 109}, {9, 63}, {452,
498}, {84, 98}, {81, 103}, {11, 61}, {70, 113}, {82, 101}, {86, 110}, {75, 114},
{86, 111}, {85, 108}, {82, 104}, {207, 245}, {72, 116}, {87, 106}, {205, 240},
{210, 239}, {87, 105}, {204, 242}, {15, 48}, {80, 111}, {203, 244}, {206, 241},
{18, 82}, {52, 116}, {19, 83}, {409, 472}, {14, 76}, {407, 469}, {51, 113}, {50,
112}, {46, 108}, {19, 81}, {183, 245}, {18, 86}, {413, 473}, {19, 87}, {187,
255}, {10, 79}, {182, 243}, {181, 240}, {55, 114}, {12, 73}, {11, 77}, {412,
474}, {180, 242}, {45, 107}, {18, 84}, {14, 72}, {13, 75}, {12, 74}, {9, 78},
{18, 85}, {20, 92}, {423, 495}, {422, 494}, {421, 493}, {420, 492}, {419, 491},
{418, 490}, {417, 489}, {178, 250}, {11, 66}, {181, 252}, {13, 68}, {183, 254},
{406, 476}, {411, 465}, {10, 65}, {179, 248}, {19, 88}, {9, 69}, {415, 467},
{414, 466}, {177, 253}, {10, 71}, {410, 471}, {20, 89}, {11, 70}, {188, 241},
{14, 64}, {431, 481}, {430, 480}, {408, 470}, {405, 475}, {305, 383}, {20, 90},
{184, 246}, {185, 247}, {186, 244}, {12, 67}, {402, 477}, {180, 251}, {20, 91},
{182, 249}, {38, 118}, {439, 487}, {438, 486}, {169, 249}, {399, 478}, {436,
485}, {172, 254}, {433, 483}, {432, 482}, {175, 253}, {173, 255}, {36, 119},
{301, 382}, {42, 121}, {174, 250}, {297, 381}, {187, 239}, {56, 109}, {447,
490}, {445, 488}, {43, 125}, {447, 489}, {434, 484}, {393, 479}, {44, 123}, {59,
99}, {446, 486}, {445, 485}, {444, 484}, {442, 482}, {426, 498}, {425, 497},
{424, 496}, {61, 101}, {60, 100}, {33, 120}, {446, 487}, {35, 122}, {32, 122},
{443, 481}, {166, 252}, {37, 127}, {39, 124}, {443, 480}, {34, 126}, {178, 238},
{177, 237}, {54, 106}, {53, 105}, {47, 115}, {41, 117}, {13, 80}, {437, 488},
{48, 110}, {165, 251}, {62, 96}, {49, 111}, {427, 500}, {444, 483}, {428, 499},
{21, 117}, {29, 125}, {23, 119}, {22, 118}, {26, 123}, {63, 94}, {57, 93}, {441,
477}, {28, 121}, {442, 479}, {440, 477}, {58, 95}, {24, 126}, {25, 127}, {27,
124}, {441, 478}, {31, 120}, {394, 480}, {398, 484}, {395, 481}, {384, 492},
{387, 495}, {386, 494}, {385, 493}, {435, 478}, {396, 482}, {397, 483}, {429,
479}, {391, 500}, {404, 487}, {388, 496}, {416, 468}, {390, 498}, {389, 497},
{400, 485}, {403, 486}, {401, 488}, {392, 499}, {48, 176}, {312, 440}, {310,
438}, {38, 164}, {311, 437}, {44, 174}, {35, 160}, {41, 173}, {34, 167}, {309,
432}, {45, 168}, {46, 169}, {316, 436}, {33, 168}, {43, 162}, {35, 170}, {37,
175}, {47, 165}, {38, 172}, {42, 161}, {287, 404}, {39, 171}, {319, 435}, {318,
434}, {315, 439}, {286, 402}, {36, 169}, {40, 166}, {43, 165}, {44, 163}, {48,
160}, {265, 409}, {268, 412}, {267, 410}, {53, 167}, {263, 405}, {269, 415},
{271, 413}, {56, 171}, {347, 456}, {317, 430}, {50, 166}, {383, 491}, {382,
490}, {381, 489}, {285, 393}, {54, 162}, {52, 161}, {50, 164}, {351, 457}, {350,
456}, {313, 431}, {270, 408}, {314, 429}, {262, 414}, {55, 174}, {42, 176},
{349, 455}, {348, 454}, {49, 170}, {56, 163}, {54, 173}, {52, 175}, {266, 406},
{346, 454}, {30, 128}, {345, 455}, {261, 411}, {51, 172}, {264, 407}, {356,
453}, {28, 191}, {296, 397}, {355, 453}, {303, 392}, {21, 189}, {294, 398},
{292, 396}, {40, 128}, {22, 190}, {53, 156}, {291, 394}, {55, 158}, {260, 429},
{293, 399}, {352, 458}, {299, 385}, {59, 144}, {354, 457}, {353, 458}, {49,
157}, {295, 395}, {51, 159}, {258, 431}, {259, 430}, {302, 384}, {298, 389},
{300, 387}, {61, 141}, {308, 388}, {289, 401}, {288, 400}, {272, 416}, {57,
136}, {307, 386}, {290, 403}, {62, 140}, {276, 422}, {40, 155}, {273, 421}, {41,
156}, {306, 391}, {63, 138}, {58, 143}, {46, 155}, {256, 437}, {257, 436}, {47,
153}, {304, 390}, {45, 154}, {60, 139}, {37, 157}, {284, 420}, {61, 133}, {275,
426}, {283, 418}, {280, 417}, {277, 428}, {60, 134}, {281, 419}, {274, 424},
{34, 153}, {63, 132}, {58, 129}, {36, 159}, {62, 130}, {39, 154}, {282, 423},
{278, 427}, {59, 133}, {279, 425}, {33, 158}, {57, 134}, {67, 131}, {361, 425},
{357, 421}, {75, 138}, {80, 145}, {335, 397}, {351, 413}, {350, 412}, {346,
408}, {64, 131}, {355, 416}, {343, 404}, {66, 129}, {67, 135}, {360, 428}, {340,
400}, {333, 393}, {65, 132}, {348, 409}, {74, 143}, {72, 141}, {68, 130}, {341,
403}, {80, 150}, {78, 136}, {23, 208}, {364, 427}, {349, 410}, {342, 401}, {73,
142}, {26, 210}, {64, 137}, {365, 420}, {77, 135}, {71, 140}, {260, 463}, {24,
212}, {367, 419}, {366, 418}, {66, 142}, {257, 461}, {256, 461}, {363, 422},
{362, 423}, {359, 426}, {31, 209}, {358, 424}, {347, 405}, {345, 407}, {69,
139}, {70, 137}, {65, 145}, {69, 149}, {28, 205}, {368, 417}, {26, 200}, {258,
464}, {29, 206}, {344, 395}, {259, 464}, {71, 147}, {23, 194}, {70, 147}, {30,
203}, {25, 207}, {78, 152}, {68, 146}, {27, 204}, {79, 152}, {77, 149}, {338,
394}, {76, 150}, {378, 416}, {91, 128}, {21, 201}, {334, 402}, {76, 144}, {25,
197}, {22, 202}, {29, 192}, {79, 146}, {30, 195}, {24, 198}, {337, 399}, {336,
398}, {74, 148}, {73, 151}, {31, 193}, {27, 196}, {339, 396}, {75, 148}, {72,
151}, {377, 408}, {358, 389}, {370, 401}, {330, 430}, {374, 402}, {372, 400},
{359, 387}, {379, 414}, {369, 407}, {371, 405}, {32, 199}, {380, 411}, {326,
431}, {367, 390}, {360, 385}, {327, 429}, {375, 413}, {374, 412}, {366, 388},
{363, 391}, {364, 384}, {370, 415}, {377, 404}, {372, 409}, {376, 406}, {365,
386}, {380, 403}, {373, 410}, {320, 433}, {377, 392}, {371, 386}, {369, 384},
{323, 434}, {322, 435}, {321, 432}, {372, 390}, {374, 388}, {32, 211}, {325,
433}, {379, 399}, {378, 398}, {376, 396}, {354, 406}, {370, 389}, {368, 392},
{379, 387}, {369, 393}, {332, 438}, {356, 414}, {352, 411}, {380, 391}, {378,
385}, {324, 440}, {328, 436}, {375, 394}, {329, 439}, {373, 395}, {371, 397},
{353, 415}, {331, 437}, {104, 367}, {96, 360}, {100, 364}, {99, 361}, {102,
363}, {97, 366}, {101, 362}, {98, 365}, {118, 354}, {94, 331}, {117, 352}, {103,
368}, {124, 356}, {93, 321}, {95, 322}, {127, 353}, {104, 328}, {113, 336}, {96,
323}, {114, 337}, {100, 327}, {105, 333}, {125, 345}, {123, 351}, {122, 350},
{121, 349}, {120, 348}, {97, 324}, {126, 347}, {106, 335}, {99, 326}, {115,
341}, {98, 325}, {112, 343}, {102, 332}, {119, 346}, {103, 329}, {101, 330},
{252, 460}, {253, 462}, {250, 462}, {255, 459}, {254, 459}, {249, 463}, {111,
344}, {251, 460}, {93, 357}, {110, 342}, {95, 359}, {94, 358}, {107, 338}, {109,
340}, {116, 334}, {108, 339}, {253, 440}, {239, 424}, {249, 432}, {250, 435},
{237, 422}, {238, 421}, {252, 439}, {254, 434}, {251, 438}, {255, 433}, {243,
419}, {245, 423}, {247, 420}, {246, 418}, {248, 417}, {240, 426}, {242, 425},
{241, 428}, {244, 427}, {7, 359}, {7, 358}, {8, 361}, {6, 357}, {8, 364}, {8,
367}, {6, 366}, {6, 365}, {6, 362}, {7, 363}, {7, 360}, {8, 368}, {165, 292},
{167, 294}, {196, 326}, {204, 334}, {211, 337}, {145, 274}, {192, 323}, {200,
331}, {195, 327}, {203, 335}, {212, 336}, {193, 324}, {208, 341}, {215, 337},
{146, 277}, {194, 325}, {202, 333}, {209, 342}, {215, 336}, {234, 354}, {168,
289}, {174, 295}, {144, 282}, {210, 344}, {216, 338}, {235, 353}, {169, 290},
{216, 339}, {156, 272}, {218, 342}, {236, 352}, {146, 287}, {213, 344}, {217,
340}, {166, 296}, {217, 343}, {145, 286}, {175, 288}, {170, 293}, {197, 330},
{198, 329}, {199, 328}, {218, 341}, {235, 356}, {236, 355}, {140, 284}, {137,
280}, {140, 285}, {164, 310}, {215, 325}, {217, 331}, {218, 328}, {135, 276},
{176, 291}, {153, 266}, {138, 281}, {215, 324}, {218, 329}, {143, 283}, {163,
311}, {213, 321}, {214, 322}, {158, 267}, {214, 323}, {217, 332}, {154, 269},
{159, 264}, {213, 333}, {214, 334}, {214, 335}, {32, 442}, {141, 279}, {139,
273}, {157, 262}, {207, 340}, {160, 316}, {162, 318}, {34, 447}, {142, 275},
{206, 339}, {33, 447}, {161, 319}, {155, 261}, {136, 278}, {201, 343}, {216,
326}, {205, 338}, {213, 330}, {216, 327}, {223, 320}, {29, 445}, {157, 317},
{147, 306}, {155, 314}, {189, 284}, {28, 446}, {153, 315}, {24, 443}, {167,
260}, {164, 263}, {154, 313}, {151, 308}, {30, 445}, {25, 444}, {31, 442}, {27,
446}, {26, 444}, {158, 312}, {151, 305}, {150, 304}, {183, 272}, {143, 295},
{170, 258}, {161, 265}, {138, 291}, {156, 309}, {136, 290}, {171, 257}, {152,
307}, {168, 259}, {190, 277}, {21, 441}, {162, 270}, {141, 289}, {23, 443},
{137, 292}, {139, 294}, {191, 274}, {142, 288}, {190, 272}, {22, 441}, {163,
268}, {160, 271}, {135, 296}, {134, 310}, {179, 259}, {176, 256}, {184, 264},
{152, 297}, {180, 261}, {172, 285}, {234, 347}, {133, 311}, {173, 287}, {185,
267}, {191, 269}, {178, 262}, {232, 348}, {144, 293}, {171, 286}, {188, 265},
{232, 349}, {131, 309}, {233, 351}, {186, 269}, {233, 350}, {129, 313}, {148,
300}, {147, 299}, {134, 318}, {130, 314}, {130, 315}, {132, 317}, {133, 319},
{149, 303}, {186, 256}, {189, 263}, {149, 302}, {181, 270}, {150, 301}, {185,
258}, {132, 312}, {179, 271}, {182, 266}, {184, 260}, {187, 263}, {129, 316},
{177, 268}, {188, 257}, {231, 346}, {148, 298}, {231, 345}, {180, 372}, {187,
379}, {188, 380}, {226, 290}, {227, 291}, {178, 371}, {183, 374}, {185, 376},
{225, 288}, {228, 293}, {230, 295}, {179, 369}, {228, 294}, {131, 320}, {182,
373}, {186, 377}, {223, 284}, {226, 289}, {221, 281}, {222, 282}, {223, 283},
{192, 261}, {221, 280}, {181, 370}, {227, 292}, {194, 266}, {197, 268}, {219,
274}, {220, 278}, {225, 299}, {177, 378}, {220, 279}, {199, 267}, {226, 302},
{227, 303}, {195, 270}, {196, 265}, {225, 300}, {228, 297}, {229, 296}, {193,
271}, {198, 264}, {200, 262}, {184, 375}, {219, 276}, {222, 273}, {226, 301},
{229, 298}, {198, 278}, {199, 279}, {230, 308}, {194, 273}, {227, 304}, {192,
276}, {228, 305}, {230, 307}, {229, 306}, {193, 282}, {195, 280}, {200, 275},
{196, 281}, {197, 283}, {224, 318}, {159, 320}, {224, 319}, {203, 299}, {204,
300}, {205, 301}, {206, 302}, {209, 304}, {221, 316}, {35, 448}, {128, 355},
{202, 297}, {210, 305}, {222, 317}, {36, 448}, {39, 451}, {38, 450}, {207, 298},
{220, 313}, {220, 314}, {221, 315}, {37, 450}, {211, 308}, {212, 307}, {223,
312}, {41, 449}, {43, 451}, {222, 309}, {40, 452}, {219, 311}, {44, 449}, {219,
310}, {42, 452}, {190, 332}, {4, 503}, {224, 275}, {3, 502}, {224, 277}, {2,
501}, {4, 510}, {5, 511}, {2, 505}, {201, 306}, {229, 286}, {230, 285}, {189,
321}, {5, 504}, {191, 322}, {3, 509}, {225, 287}, {3, 508}, {5, 506}, {4, 507},
{208, 303}, {2, 512}, {475, 512}, {486, 512}, {499, 512} }>;
(II) A more general form is to represent the graph as the orbit of {1, 3}
under the group generated by the following permutations:
a: (2, 5)(3, 4)(6, 7)(9, 11)(13, 14)(16, 17)(18, 19)(21, 22)(23, 29)(24, 30)(25,
26)(27, 32)(28, 31)(33, 42)(34, 40)(35, 39)(36, 43)(37, 44)(38, 41)(45, 48)(46,
47)(49, 56)(50, 53)(51, 54)(52, 55)(57, 64)(58, 66)(59, 65)(60, 67)(61, 63)(62,
68)(69, 77)(70, 78)(71, 79)(72, 75)(73, 74)(76, 80)(81, 84)(82, 83)(85, 87)(86,
88)(89, 92)(90, 91)(93, 102)(94, 101)(95, 97)(96, 98)(99, 104)(100, 103)(105,
112)(106, 113)(107, 110)(108, 115)(109, 111)(114, 116)(117, 118)(119, 125)(120,
121)(122, 124)(123, 127)(126, 128)(131, 134)(132, 133)(135, 139)(136, 137)(138,
141)(140, 146)(142, 143)(144, 145)(147, 152)(148, 151)(153, 155)(154, 160)(156,
164)(157, 163)(158, 161)(159, 162)(165, 169)(166, 167)(168, 176)(170, 171)(172,
173)(174, 175)(177, 178)(179, 186)(180, 182)(181, 184)(183, 187)(185, 188)(189,
190)(191, 193)(192, 194)(195, 198)(196, 199)(197, 200)(201, 202)(203, 212)(204,
211)(205, 209)(206, 208)(207, 210)(213, 217)(214, 215)(216, 218)(219, 222)(220,
221)(223, 224)(225, 230)(226, 227)(228, 229)(233, 235)(234, 236)(237, 238)(239,
245)(240, 246)(241, 247)(242, 243)(244, 248)(249, 251)(250, 253)(252, 260)(254,
255)(256, 259)(257, 258)(261, 266)(262, 268)(263, 272)(264, 270)(265, 267)(269,
271)(273, 276)(274, 282)(275, 283)(277, 284)(278, 280)(279, 281)(285, 287)(286,
293)(288, 295)(289, 291)(290, 292)(294, 296)(297, 306)(298, 305)(299, 307)(300,
308)(301, 304)(302, 303)(309, 310)(311, 317)(312, 319)(313, 316)(314, 315)(318,
320)(321, 332)(322, 324)(323, 325)(326, 328)(327, 329)(330, 331)(333, 343)(334,
337)(335, 336)(338, 342)(339, 341)(340, 344)(345, 346)(347, 355)(348, 349)(350,
356)(351, 353)(352, 354)(357, 363)(358, 362)(359, 366)(360, 365)(361, 367)(364,
368)(369, 377)(370, 375)(371, 378)(372, 373)(374, 379)(376, 380)(381, 391)(382,
390)(383, 389)(384, 392)(385, 386)(387, 388)(393, 404)(394, 401)(395, 400)(396,
403)(397, 398)(399, 402)(405, 416)(406, 411)(407, 408)(409, 410)(412, 414)(413,
415)(417, 427)(418, 426)(419, 425)(420, 428)(421, 422)(423, 424)(429, 439)(430,
437)(431, 436)(432, 438)(433, 434)(435, 440)(442, 446)(443, 445)(447, 452)(448,
451)(449, 450)(453, 456)(454, 455)(457, 458)(460, 463)(461, 464)(465, 476)(466,
474)(467, 473)(468, 475)(469, 470)(471, 472)(477, 478)(479, 487)(480, 488)(481,
485)(482, 486)(483, 484)(489, 500)(490, 498)(491, 497)(492, 499)(493, 494)(495,
496)(501, 511)(502, 510)(503, 509)(504, 512)(505, 506)(507, 508) (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, 9, 457, 19, 456, 12)(2, 58, 470, 83, 347, 73)(3, 78, 351, 81, 467, 60)(4,
69, 472, 87, 350, 67)(5, 63, 354, 88, 465, 74)(6, 178, 224, 451, 220, 184)(7,
186, 216, 447, 230, 444)(8, 443, 228, 449, 214, 181)(10, 20, 14, 458, 18,
454)(11, 455)(13, 453)(15, 442, 223, 450, 217, 188)(16, 183, 229, 452, 227,
185)(17, 180, 218, 448, 222, 441)(21, 52, 251, 328, 36, 282)(22, 56, 261, 342,
492, 317)(23, 293, 41, 334, 252, 367)(24, 305, 493, 322, 270, 361)(25, 363, 256,
339, 33, 285)(26, 360, 269, 327, 490, 307)(27, 315, 243, 325, 379, 287)(28, 280,
373, 336, 239, 299)(29, 289, 369, 330, 237, 311)(30, 301, 248, 344, 378,
274)(31, 284, 37, 332, 257, 46)(32, 320, 495, 343, 265, 47)(34, 308, 483, 359,
377, 326)(35, 309, 477, 50, 372, 341)(38, 340, 380, 48, 482, 312)(39, 314, 246,
365, 262, 277)(40, 304, 247, 49, 272, 286)(42, 292, 267, 51, 245, 306)(43, 279,
264, 362, 238, 319)(44, 323, 370, 364, 480, 297)(45, 479, 283, 494, 331,
241)(53, 374, 296, 498, 303, 258)(54, 242, 329, 491, 273, 478)(55, 254, 298,
500, 291, 376)(57, 473)(59, 90, 72, 469, 82, 346)(61, 345)(62, 353, 84, 466, 79,
89)(64, 471, 85, 348, 71, 92)(65, 91, 76, 352, 86, 468)(66, 475)(68, 356)(70,
349)(75, 476)(77, 474)(80, 355)(93, 462, 134, 509, 136, 413)(94, 234, 107, 501,
143, 506)(95, 408, 99, 126, 151, 505)(96, 415, 100, 502, 152, 123)(97, 405, 142,
512, 129, 463)(98, 414, 146, 124, 130, 235)(101, 231, 133, 125, 141, 407)(102,
461, 108, 120, 140, 127)(103, 503, 139, 508, 106, 233)(104, 119, 144, 117, 116,
460)(105, 412, 135, 510, 149, 464)(109, 411, 110, 504, 132, 118)(111, 416, 145,
128, 150, 236)(112, 409, 115, 122, 131, 507)(113, 232, 147, 121, 137, 410)(114,
459, 148, 511, 138, 406)(153, 211, 433, 387, 404, 196)(154, 429, 418, 386, 200,
428)(155, 209, 420, 157, 190, 171)(156, 402, 166, 390, 208, 170)(158, 172, 207,
391, 176, 396)(159, 423, 201, 161, 165, 199)(160, 432, 440, 164, 400, 403)(162,
425, 198, 383, 421, 435)(163, 192, 401, 384, 430, 202)(167, 388, 397, 426, 392,
431)(168, 393, 197, 422, 437, 206)(169, 193, 189, 175, 438, 436)(173, 204, 439,
419, 194, 399)(174, 434, 389, 427, 394, 381)(177, 219, 445, 226, 179, 213)(182,
215, 187, 225, 446, 221)(191, 195, 382, 212, 210, 385)(203, 205, 417, 395, 398,
424)(240, 368, 481, 294, 496, 335)(244, 338, 489, 295, 484, 358)(249, 324, 263,
288, 486, 316)(250, 318, 497, 278, 375, 357)(253, 310, 485, 290, 271, 321)(255,
300, 487, 281, 266, 337)(259, 333, 268, 276, 488, 302)(260, 366, 371, 275, 499,
313)
c: (1, 93, 502, 19, 509, 96)(2, 357, 490, 83, 497, 360)(3, 81)(4, 57, 466, 87,
473, 62)(5, 321, 480, 88, 485, 323)(6, 382, 94, 451, 385, 501)(7, 512, 421, 447,
97, 425)(8, 424, 392, 449, 417, 388)(9, 124, 147, 456, 98, 410)(10, 415, 146,
458, 152, 235)(11, 233, 102, 455, 139, 120)(12, 409, 135, 457, 131, 464)(13,
461, 106, 453, 140, 503)(14, 510, 134, 454, 105, 413)(15, 175, 155, 450, 169,
157)(16, 160, 116, 452, 164, 119)(17, 128, 172, 448, 111, 176)(18, 121, 112, 20,
113, 122)(21, 24, 337, 328, 322, 487)(22, 264, 293, 342, 319, 252)(23, 55, 316,
334, 500, 263)(25, 339)(26, 292, 268, 327, 245, 302)(27, 306, 347, 325, 267,
58)(28, 343, 90, 336, 32, 82)(29, 484, 482, 330, 338, 340)(30, 254, 492, 344,
291, 56)(31, 61, 240, 332, 345, 294)(33, 66, 242, 363, 475, 273)(34, 324, 279,
359, 486, 238)(35, 86, 42, 50, 91, 51)(36, 49, 48, 52, 40, 38)(37, 46)(39, 299,
465, 365, 373, 63)(41, 248, 308, 367, 274, 377)(43, 378, 479, 362, 301, 331)(44,
280, 374, 364, 239, 303)(45, 288, 261, 494, 249, 317)(47, 253, 314, 495, 290,
262)(53, 271, 72, 498, 310, 346)(54, 355, 285, 491, 80, 256)(59, 370, 277, 469,
297, 246)(60, 348, 77, 351, 64, 474)(65, 269, 287, 352, 307, 243)(67, 472)(68,
471, 78, 356, 71, 467)(69, 89, 70, 350, 84, 349)(73, 372, 276, 470, 309,
259)(74, 265, 296, 354, 320, 258)(75, 257, 335, 476, 284, 481)(76, 488, 318,
468, 333, 375)(79, 353)(85, 92)(95, 446, 201, 126, 215, 199)(99, 389, 428, 505,
381, 418)(100, 232, 149, 123, 137, 412)(101, 205, 217, 125, 398, 442)(103,
508)(104, 191, 404, 117, 212, 211)(107, 400, 192, 506, 432, 430)(108, 127)(109,
445, 434, 504, 213, 394)(110, 161, 166, 118, 159, 170)(114, 436, 214, 511, 189,
443)(115, 462, 130, 507, 136, 414)(129, 204, 391, 405, 194, 158)(132, 154, 225,
411, 386, 182)(133, 181, 190, 407, 228, 209)(138, 171, 203, 459, 420, 395)(141,
426, 438, 231, 167, 193)(142, 180, 422, 463, 222, 168)(143, 196, 229, 234, 433,
185)(144, 401, 224, 460, 202, 184)(145, 186, 173, 236, 230, 419)(148, 188, 397,
406, 223, 431)(150, 437, 162, 416, 393, 383)(151, 390, 219, 408, 156, 179)(153,
440, 220, 387, 403, 178)(163, 195, 183, 384, 210, 227)(165, 177, 429, 423, 226,
200)(174, 221, 402, 427, 187, 208)(197, 216, 207, 206, 444, 396)(198, 399, 218,
435, 439, 441)(237, 260, 282, 289, 275, 251)(241, 483, 376, 283, 326, 298)(244,
255, 247, 295, 281, 286)(250, 315, 477, 278, 379, 341)(266, 312, 313, 300, 380,
371)(270, 272, 369, 305, 304, 311)(329, 478)(358, 499, 493, 489, 366, 361)(368,
496)
d: (2, 5)(3, 4)(7, 8)(9, 10)(12, 14)(15, 17)(18, 19)(21, 23)(22, 24)(25, 31)(26,
32)(27, 28)(29, 30)(33, 37)(34, 38)(35, 44)(36, 41)(39, 42)(40, 43)(45, 52)(46,
54)(47, 50)(48, 56)(49, 55)(51, 53)(57, 68)(58, 59)(60, 62)(61, 66)(63, 65)(64,
67)(69, 71)(70, 77)(72, 73)(74, 76)(75, 80)(78, 79)(81, 84)(82, 83)(85, 87)(86,
88)(89, 92)(90, 91)(93, 98)(94, 104)(95, 99)(96, 100)(97, 101)(102, 103)(105,
113)(106, 108)(107, 116)(109, 110)(111, 114)(112, 115)(117, 119)(118, 126)(120,
127)(121, 124)(122, 123)(125, 128)(129, 133)(130, 134)(135, 137)(136, 146)(138,
145)(139, 140)(141, 142)(143, 144)(147, 149)(148, 150)(153, 164)(154, 161)(155,
162)(156, 159)(157, 158)(160, 163)(165, 166)(167, 172)(168, 175)(169, 173)(170,
174)(171, 176)(177, 179)(178, 185)(180, 181)(182, 187)(183, 184)(186, 188)(189,
194)(190, 198)(191, 196)(192, 195)(193, 197)(199, 200)(201, 208)(202, 212)(203,
206)(204, 205)(207, 209)(210, 211)(213, 215)(214, 216)(217, 218)(219, 221)(220,
224)(222, 223)(225, 226)(227, 229)(228, 230)(231, 236)(232, 235)(237, 248)(238,
247)(239, 243)(240, 242)(241, 244)(245, 246)(249, 255)(250, 258)(251, 252)(253,
259)(254, 260)(256, 257)(261, 270)(262, 267)(263, 266)(264, 272)(265, 269)(268,
271)(273, 284)(274, 281)(275, 279)(276, 280)(277, 278)(282, 283)(285, 294)(286,
291)(287, 290)(288, 289)(292, 296)(293, 295)(297, 307)(298, 304)(299, 302)(300,
301)(303, 306)(305, 308)(309, 320)(310, 315)(311, 316)(312, 317)(313, 319)(314,
318)(321, 325)(322, 326)(323, 327)(324, 330)(328, 331)(329, 332)(333, 336)(334,
338)(335, 339)(337, 344)(340, 342)(341, 343)(345, 355)(346, 352)(347, 354)(348,
353)(349, 356)(350, 351)(357, 365)(358, 367)(359, 361)(360, 364)(362, 366)(363,
368)(369, 378)(370, 372)(371, 376)(373, 379)(374, 375)(377, 380)(381, 386)(382,
387)(383, 388)(384, 385)(389, 390)(391, 392)(393, 398)(394, 402)(395, 399)(396,
397)(400, 401)(403, 404)(405, 406)(407, 416)(408, 411)(409, 415)(410, 414)(412,
413)(417, 422)(418, 423)(419, 424)(420, 421)(425, 426)(427, 428)(429, 434)(430,
440)(431, 435)(432, 433)(436, 437)(438, 439)(441, 443)(442, 444)(447, 450)(448,
449)(451, 452)(453, 455)(454, 458)(456, 457)(459, 463)(462, 464)(465, 470)(466,
471)(467, 472)(468, 469)(473, 474)(475, 476)(477, 480)(478, 481)(479, 484)(482,
483)(485, 488)(486, 487)(489, 494)(490, 495)(491, 496)(492, 493)(497, 498)(499,
500)(501, 506)(502, 507)(503, 508)(504, 505)(509, 510)(511, 512)
e: (1, 6, 7, 8)(2, 365, 360, 364)(3, 362, 358, 367)(4, 366, 359, 361)(5, 357,
363, 368)(9, 180, 443, 183)(10, 445, 184, 187)(11, 181, 182, 441)(12, 446, 185,
177)(13, 188, 179, 444)(14, 186, 442, 178)(15, 20, 16, 17)(18, 451, 448,
449)(19, 452, 447, 450)(21, 70, 270, 249)(22, 77, 252, 266)(23, 272, 69,
251)(24, 254, 78, 261)(25, 75, 265, 259)(26, 80, 257, 271)(27, 258, 268, 74)(28,
267, 253, 73)(29, 264, 255, 79)(30, 260, 263, 71)(31, 262, 76, 256)(32, 250, 72,
269)(33, 37, 88, 42)(34, 38, 87, 40)(35, 44, 86, 39)(36, 41, 85, 43)(45, 92, 55,
52)(46, 90, 51, 54)(47, 91, 53, 50)(48, 89, 49, 56)(57, 380, 248, 484)(58, 242,
481, 374)(59, 488, 246, 379)(60, 486, 247, 378)(61, 370, 243, 478)(62, 244, 479,
371)(63, 372, 480, 245)(64, 377, 482, 238)(65, 485, 375, 239)(66, 240, 373,
477)(67, 487, 376, 237)(68, 241, 369, 483)(81, 500, 489, 494)(82, 497, 491,
496)(83, 498, 490, 495)(84, 499, 492, 493)(93, 391, 417, 506)(94, 390, 502,
423)(95, 425, 503, 388)(96, 427, 501, 386)(97, 426, 382, 507)(98, 428, 384,
505)(99, 510, 418, 387)(100, 512, 420, 385)(101, 389, 419, 508)(102, 392, 504,
421)(103, 511, 381, 422)(104, 509, 383, 424)(105, 166, 153, 118)(106, 155, 126,
172)(107, 121, 158, 175)(108, 125, 159, 173)(109, 176, 120, 157)(110, 124, 170,
163)(111, 171, 160, 123)(112, 165, 119, 156)(113, 162, 169, 117)(114, 161, 168,
127)(115, 128, 167, 164)(116, 154, 122, 174)(129, 233, 395, 402)(130, 234, 393,
397)(131, 404, 396, 231)(132, 400, 394, 232)(133, 401, 235, 399)(134, 403, 236,
398)(135, 439, 406, 202)(136, 411, 212, 434)(137, 408, 432, 201)(138, 409, 430,
207)(139, 438, 208, 416)(140, 203, 429, 405)(141, 415, 211, 435)(142, 205, 410,
440)(143, 204, 431, 412)(144, 437, 209, 414)(145, 436, 413, 210)(146, 206, 407,
433)(147, 195, 463, 189)(148, 196, 464, 197)(149, 460, 194, 190)(150, 461, 193,
200)(151, 191, 199, 462)(152, 192, 198, 459)(213, 229, 221, 457)(214, 220, 456,
230)(215, 224, 226, 458)(216, 455, 223, 225)(217, 227, 454, 222)(218, 453, 228,
219)(273, 332, 303, 468)(274, 328, 473, 305)(275, 301, 471, 324)(276, 329, 476,
297)(277, 302, 469, 325)(278, 465, 307, 323)(279, 467, 308, 322)(280, 470, 321,
306)(281, 472, 330, 298)(282, 331, 304, 466)(283, 300, 326, 474)(284, 299, 327,
475)(285, 335, 314, 347)(286, 316, 351, 344)(287, 339, 345, 320)(288, 338, 349,
312)(289, 353, 337, 319)(290, 352, 336, 318)(291, 348, 317, 340)(292, 346, 309,
343)(293, 311, 342, 356)(294, 310, 341, 355)(295, 334, 313, 350)(296, 315, 354,
333)
f: (2, 4)(3, 5)(9, 14)(10, 12)(11, 13)(18, 19)(21, 25)(22, 26)(23, 31)(24,
32)(27, 30)(28, 29)(33, 36)(34, 35)(37, 41)(38, 44)(39, 40)(42, 43)(45, 46)(47,
48)(49, 53)(50, 56)(51, 55)(52, 54)(57, 61)(58, 62)(59, 60)(63, 64)(65, 67)(66,
68)(69, 76)(70, 75)(71, 74)(72, 78)(73, 79)(77, 80)(81, 82)(83, 84)(85, 88)(86,
87)(89, 91)(90, 92)(93, 101)(94, 102)(95, 96)(97, 98)(99, 100)(103, 104)(105,
111)(106, 116)(107, 108)(109, 112)(110, 115)(113, 114)(117, 127)(118, 123)(119,
120)(121, 125)(122, 126)(124, 128)(129, 130)(131, 132)(133, 134)(135, 145)(136,
141)(137, 138)(139, 144)(140, 143)(142, 146)(147, 148)(149, 150)(151, 152)(153,
160)(154, 155)(156, 157)(158, 159)(161, 162)(163, 164)(165, 176)(166, 171)(167,
170)(168, 169)(172, 174)(173, 175)(177, 187)(178, 183)(179, 182)(180, 186)(181,
188)(184, 185)(189, 197)(190, 200)(191, 192)(193, 194)(195, 196)(198, 199)(201,
207)(202, 210)(203, 204)(205, 206)(208, 209)(211, 212)(231, 232)(233, 234)(235,
236)(237, 239)(238, 245)(240, 241)(242, 244)(243, 248)(246, 247)(249, 259)(250,
254)(251, 256)(252, 257)(253, 255)(258, 260)(261, 269)(262, 272)(263, 268)(264,
267)(265, 270)(266, 271)(273, 282)(274, 276)(275, 277)(278, 279)(280, 281)(283,
284)(285, 295)(286, 296)(287, 288)(289, 290)(291, 292)(293, 294)(297, 305)(298,
306)(299, 300)(301, 302)(303, 304)(307, 308)(309, 317)(310, 311)(312, 320)(313,
314)(315, 316)(318, 319)(321, 330)(322, 323)(324, 325)(326, 327)(328, 329)(331,
332)(333, 344)(334, 335)(336, 337)(338, 339)(340, 343)(341, 342)(345, 349)(346,
348)(347, 350)(351, 354)(352, 353)(355, 356)(357, 362)(358, 363)(359, 360)(361,
364)(365, 366)(367, 368)(369, 373)(370, 380)(371, 374)(372, 377)(375, 376)(378,
379)(381, 383)(382, 384)(385, 387)(386, 388)(389, 391)(390, 392)(393, 395)(394,
396)(397, 402)(398, 399)(400, 404)(401, 403)(405, 412)(406, 413)(407, 410)(408,
409)(411, 415)(414, 416)(417, 419)(418, 420)(421, 423)(422, 424)(425, 427)(426,
428)(429, 431)(430, 432)(433, 440)(434, 435)(436, 439)(437, 438)(441, 444)(442,
443)(445, 446)(447, 448)(449, 450)(451, 452)(459, 462)(460, 461)(463, 464)(465,
467)(466, 468)(469, 471)(470, 472)(473, 476)(474, 475)(477, 483)(478, 484)(479,
481)(480, 482)(485, 487)(486, 488)(489, 491)(490, 492)(493, 495)(494, 496)(497,
500)(498, 499)(501, 503)(502, 504)(505, 507)(506, 508)(509, 511)(510, 512)
C4[ 512, 663 ]
512
-1 2 3 4 5
-2 1 501 512 505
-3 1 508 509 502
-4 1 507 510 503
-5 506 1 511 504
-6 365 366 357 362
-7 363 358 359 360
-8 364 367 368 361
-9 78 58 69 63
-10 79 59 71 65
-11 66 77 70 61
-12 67 60 73 74
-13 57 68 80 75
-14 72 62 64 76
-15 45 46 47 48
-16 55 49 51 53
-17 56 50 52 54
-18 82 84 85 86
-19 88 81 83 87
-20 89 90 91 92
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-22 441 190 202 118
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-25 444 127 207 197
-26 210 123 200 444
-27 124 204 446 196
-28 121 191 446 205
-29 125 192 445 206
-30 203 445 128 195
-31 209 442 193 120
-32 122 199 211 442
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-36 169 159 448 119
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-38 172 118 164 450
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-41 156 117 173 449
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-43 165 451 125 162
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-45 154 168 15 107
-46 155 15 169 108
-47 165 15 115 153
-48 110 176 15 160
-49 111 157 16 170
-50 166 112 17 164
-51 113 16 159 172
-52 17 116 161 175
-53 156 167 16 105
-54 17 106 162 173
-55 114 158 16 174
-56 17 171 163 109
-57 13 134 136 93
-58 143 95 129 9
-59 99 133 144 10
-60 12 100 134 139
-61 11 133 101 141
-62 14 96 140 130
-63 132 94 138 9
-64 14 102 137 131
-65 132 145 104 10
-66 11 129 97 142
-67 12 135 103 131
-68 13 146 130 98
-69 112 149 139 9
-70 11 113 147 137
-71 147 115 140 10
-72 14 116 151 141
-73 12 107 151 142
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-75 13 114 148 138
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-77 11 135 105 149
-78 136 106 9 152
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-80 111 13 145 150
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-85 112 113 18 108
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-87 115 105 106 19
-88 114 19 107 109
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-90 125 126 117 20
-91 128 118 20 119
-92 121 122 127 20
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-356 453 124 235 414
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-359 387 7 95 426
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-486 446 512 403 438
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-500 452 511 391 427
-501 2 465 489 479
-502 3 466 490 480
-503 4 467 491 481
-504 5 468 492 482
-505 2 469 493 483
-506 484 5 470 494
-507 495 4 477 471
-508 496 3 478 472
-509 473 485 497 3
-510 474 498 4 488
-511 476 487 5 500
-512 2 475 486 499
0