Graph forms
for C4 [ 512, 574 ] = SS[512,109]
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On this page are computer-accessible forms for the graph C4[ 512, 574 ] =
SS[512,109].
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {1, 3}, {464, 466}, {1, 2}, {88, 91}, {1, 5}, {1, 4}, {88, 93},
{89, 95}, {8, 15}, {496, 504}, {498, 506}, {497, 505}, {87, 94}, {20, 31}, {87,
92}, {211, 223}, {464, 476}, {18, 31}, {499, 508}, {500, 507}, {6, 22}, {490,
506}, {489, 505}, {488, 504}, {487, 503}, {486, 502}, {485, 501}, {459, 475},
{458, 474}, {40, 56}, {9, 25}, {9, 24}, {457, 472}, {39, 54}, {6, 20}, {451,
465}, {41, 59}, {6, 21}, {42, 57}, {41, 58}, {39, 52}, {32, 51}, {9, 26}, {6,
19}, {42, 63}, {41, 60}, {8, 29}, {7, 18}, {8, 30}, {452, 466}, {361, 383}, {34,
52}, {33, 55}, {7, 16}, {492, 507}, {491, 508}, {462, 473}, {452, 467}, {451,
468}, {36, 60}, {495, 503}, {494, 502}, {493, 501}, {460, 468}, {457, 465}, {8,
17}, {355, 378}, {352, 377}, {39, 62}, {36, 61}, {32, 57}, {34, 56}, {463, 469},
{461, 471}, {460, 470}, {39, 61}, {7, 28}, {484, 511}, {458, 465}, {358, 381},
{40, 51}, {37, 62}, {33, 58}, {7, 27}, {463, 467}, {356, 376}, {354, 382}, {41,
53}, {35, 63}, {38, 59}, {482, 511}, {462, 467}, {353, 380}, {42, 55}, {9, 23},
{480, 510}, {448, 478}, {357, 379}, {448, 479}, {461, 466}, {459, 468}, {75,
107}, {477, 509}, {474, 506}, {473, 505}, {472, 504}, {471, 503}, {470, 502},
{469, 501}, {456, 488}, {453, 485}, {450, 482}, {80, 112}, {79, 111}, {78, 110},
{77, 109}, {76, 108}, {220, 252}, {222, 254}, {206, 239}, {479, 510}, {455,
486}, {449, 480}, {207, 238}, {210, 243}, {212, 245}, {219, 250}, {203, 233},
{81, 114}, {478, 509}, {450, 481}, {82, 113}, {215, 244}, {73, 109}, {208, 244},
{209, 245}, {213, 241}, {214, 242}, {221, 249}, {221, 248}, {449, 484}, {204,
234}, {337, 375}, {205, 235}, {206, 232}, {219, 253}, {220, 251}, {476, 507},
{475, 508}, {67, 107}, {351, 375}, {341, 381}, {336, 376}, {80, 120}, {70, 110},
{68, 108}, {31, 54}, {217, 240}, {218, 243}, {222, 247}, {31, 53}, {454, 492},
{69, 111}, {193, 235}, {81, 122}, {468, 511}, {82, 121}, {342, 378}, {466, 510},
{465, 509}, {15, 34}, {454, 491}, {340, 377}, {339, 382}, {192, 237}, {194,
236}, {455, 489}, {338, 380}, {216, 246}, {453, 490}, {456, 487}, {16, 32}, {17,
33}, {19, 34}, {86, 103}, {85, 100}, {73, 120}, {23, 38}, {84, 102}, {212, 230},
{71, 116}, {200, 251}, {214, 229}, {215, 228}, {21, 33}, {335, 379}, {331, 383},
{67, 119}, {201, 253}, {64, 117}, {70, 115}, {22, 32}, {85, 99}, {83, 101}, {65,
119}, {71, 112}, {320, 375}, {200, 255}, {208, 231}, {213, 226}, {74, 114}, {28,
37}, {78, 119}, {72, 113}, {195, 250}, {197, 252}, {216, 225}, {30, 36}, {323,
377}, {322, 376}, {90, 96}, {83, 105}, {79, 117}, {76, 118}, {196, 254}, {217,
227}, {218, 224}, {24, 35}, {326, 381}, {325, 382}, {90, 97}, {89, 98}, {66,
121}, {25, 37}, {86, 106}, {84, 104}, {69, 121}, {209, 237}, {211, 239}, {27,
38}, {321, 380}, {202, 247}, {203, 246}, {204, 241}, {205, 240}, {207, 242},
{26, 36}, {324, 378}, {77, 115}, {72, 118}, {68, 122}, {29, 35}, {198, 248},
{199, 249}, {210, 236}, {74, 117}, {75, 116}, {170, 234}, {172, 238}, {174,
236}, {59, 120}, {168, 235}, {58, 126}, {319, 379}, {57, 124}, {173, 232}, {60,
122}, {313, 383}, {171, 237}, {185, 255}, {62, 118}, {61, 116}, {445, 500},
{415, 470}, {175, 230}, {55, 125}, {443, 497}, {442, 496}, {426, 480}, {52,
127}, {63, 115}, {48, 125}, {446, 499}, {54, 123}, {162, 239}, {167, 233}, {444,
498}, {169, 231}, {175, 224}, {430, 481}, {429, 482}, {428, 483}, {427, 484},
{10, 90}, {43, 123}, {161, 241}, {45, 124}, {46, 127}, {163, 242}, {164, 245},
{10, 88}, {44, 126}, {176, 226}, {177, 227}, {10, 89}, {165, 246}, {178, 225},
{12, 88}, {160, 244}, {176, 228}, {166, 243}, {187, 238}, {188, 233}, {190,
232}, {441, 495}, {440, 494}, {13, 90}, {14, 89}, {178, 229}, {189, 234}, {11,
83}, {14, 86}, {191, 231}, {12, 85}, {13, 84}, {439, 493}, {11, 87}, {447, 483},
{10, 87}, {384, 478}, {385, 479}, {35, 66}, {405, 500}, {152, 250}, {447, 477},
{403, 497}, {402, 496}, {399, 493}, {386, 480}, {438, 469}, {37, 65}, {390,
482}, {153, 252}, {406, 499}, {388, 481}, {157, 248}, {156, 249}, {155, 254},
{38, 64}, {404, 498}, {393, 495}, {392, 494}, {389, 483}, {154, 253}, {432,
471}, {387, 484}, {40, 65}, {437, 476}, {435, 474}, {433, 472}, {158, 247}, {40,
66}, {391, 493}, {149, 255}, {42, 64}, {434, 473}, {151, 251}, {177, 223}, {159,
240}, {436, 475}, {411, 491}, {421, 469}, {407, 485}, {408, 490}, {410, 489},
{409, 492}, {413, 488}, {424, 478}, {425, 479}, {416, 471}, {414, 486}, {397,
500}, {431, 470}, {417, 472}, {394, 496}, {423, 477}, {395, 497}, {412, 487},
{418, 473}, {422, 474}, {398, 499}, {396, 498}, {401, 495}, {400, 494}, {419,
476}, {420, 475}, {311, 439}, {318, 446}, {315, 443}, {314, 442}, {24, 153},
{317, 444}, {316, 445}, {313, 440}, {312, 441}, {24, 154}, {25, 155}, {288,
419}, {26, 158}, {289, 420}, {291, 422}, {26, 156}, {49, 183}, {294, 416}, {290,
421}, {293, 418}, {48, 184}, {50, 186}, {296, 417}, {300, 421}, {23, 157}, {297,
419}, {19, 159}, {302, 418}, {48, 188}, {299, 422}, {301, 416}, {25, 151}, {298,
420}, {23, 152}, {335, 448}, {65, 206}, {64, 207}, {50, 189}, {43, 187}, {377,
489}, {338, 450}, {336, 448}, {47, 190}, {66, 208}, {376, 490}, {375, 485}, {44,
191}, {337, 450}, {341, 449}, {47, 185}, {382, 488}, {342, 449}, {380, 491},
{379, 492}, {43, 179}, {319, 423}, {45, 180}, {44, 182}, {46, 181}, {381, 486},
{378, 487}, {17, 179}, {383, 477}, {269, 431}, {272, 435}, {274, 433}, {275,
432}, {278, 437}, {16, 181}, {18, 183}, {16, 182}, {273, 438}, {277, 434}, {303,
391}, {18, 184}, {17, 186}, {47, 128}, {21, 165}, {279, 423}, {22, 164}, {51,
129}, {30, 172}, {28, 174}, {27, 169}, {30, 173}, {50, 129}, {49, 130}, {280,
427}, {283, 424}, {286, 429}, {28, 168}, {282, 430}, {285, 425}, {19, 166}, {53,
128}, {21, 160}, {281, 428}, {15, 185}, {311, 385}, {29, 171}, {20, 162}, {263,
433}, {284, 426}, {20, 163}, {29, 170}, {22, 161}, {256, 440}, {316, 388}, {306,
394}, {295, 415}, {257, 441}, {258, 442}, {259, 443}, {260, 444}, {261, 445},
{262, 446}, {308, 397}, {315, 386}, {314, 387}, {56, 130}, {307, 393}, {15,
180}, {317, 390}, {264, 435}, {271, 436}, {276, 431}, {292, 415}, {27, 167},
{304, 396}, {265, 436}, {312, 389}, {267, 438}, {268, 434}, {318, 384}, {310,
392}, {309, 395}, {270, 432}, {287, 417}, {266, 437}, {305, 398}, {329, 392},
{369, 432}, {351, 414}, {331, 393}, {348, 414}, {345, 411}, {344, 410}, {327,
388}, {374, 437}, {350, 413}, {343, 403}, {370, 438}, {368, 436}, {349, 409},
{334, 395}, {372, 433}, {328, 398}, {346, 412}, {335, 393}, {330, 397}, {373,
434}, {333, 394}, {345, 401}, {328, 385}, {347, 402}, {327, 396}, {350, 405},
{332, 391}, {329, 389}, {347, 407}, {332, 384}, {330, 390}, {334, 387}, {349,
400}, {344, 406}, {367, 417}, {346, 404}, {333, 386}, {343, 408}, {370, 418},
{373, 421}, {77, 159}, {372, 422}, {369, 419}, {340, 391}, {348, 399}, {374,
416}, {371, 420}, {336, 394}, {338, 392}, {337, 395}, {341, 398}, {342, 397},
{367, 435}, {371, 431}, {339, 396}, {366, 399}, {69, 167}, {73, 171}, {72, 170},
{359, 388}, {50, 212}, {73, 175}, {48, 215}, {74, 173}, {322, 426}, {324, 429},
{68, 174}, {363, 385}, {362, 384}, {49, 218}, {366, 389}, {340, 447}, {325,
430}, {323, 424}, {320, 427}, {75, 160}, {68, 175}, {46, 194}, {339, 447}, {45,
192}, {321, 428}, {317, 464}, {79, 162}, {78, 163}, {76, 161}, {63, 210}, {70,
168}, {365, 387}, {364, 386}, {360, 390}, {71, 169}, {62, 209}, {368, 415},
{326, 425}, {67, 172}, {49, 193}, {55, 199}, {54, 198}, {51, 195}, {52, 197},
{318, 463}, {67, 178}, {60, 205}, {57, 200}, {53, 196}, {56, 202}, {315, 457},
{58, 201}, {44, 216}, {359, 403}, {314, 462}, {313, 461}, {312, 460}, {80, 164},
{354, 407}, {61, 203}, {316, 458}, {46, 217}, {82, 165}, {81, 166}, {71, 176},
{70, 177}, {69, 178}, {59, 204}, {43, 211}, {362, 402}, {360, 400}, {357, 413},
{356, 412}, {355, 411}, {352, 408}, {72, 176}, {45, 213}, {47, 214}, {364, 405},
{363, 401}, {74, 177}, {365, 406}, {353, 410}, {311, 459}, {361, 404}, {358,
409}, {100, 352}, {108, 360}, {103, 355}, {102, 354}, {101, 353}, {111, 362},
{105, 367}, {109, 363}, {110, 361}, {96, 363}, {104, 356}, {107, 359}, {97,
367}, {97, 366}, {106, 357}, {105, 358}, {98, 365}, {101, 372}, {99, 369}, {100,
374}, {96, 372}, {98, 374}, {103, 370}, {102, 368}, {223, 457}, {104, 371},
{112, 365}, {114, 364}, {106, 373}, {113, 366}, {125, 349}, {123, 345}, {126,
346}, {127, 347}, {228, 462}, {124, 343}, {230, 459}, {91, 373}, {95, 369}, {94,
368}, {225, 463}, {226, 460}, {227, 461}, {92, 371}, {93, 370}, {229, 458},
{224, 464}, {94, 364}, {91, 360}, {93, 361}, {95, 362}, {92, 359}, {99, 351},
{92, 284}, {247, 439}, {248, 440}, {249, 441}, {253, 445}, {254, 446}, {114,
307}, {251, 442}, {93, 286}, {11, 335}, {113, 309}, {107, 303}, {94, 282}, {112,
310}, {250, 444}, {95, 280}, {224, 423}, {252, 443}, {255, 439}, {225, 427},
{230, 428}, {226, 425}, {91, 279}, {99, 303}, {228, 424}, {227, 429}, {229,
426}, {100, 309}, {122, 299}, {121, 298}, {101, 305}, {120, 300}, {115, 295},
{103, 307}, {102, 306}, {104, 304}, {126, 294}, {12, 341}, {109, 308}, {123,
289}, {13, 342}, {118, 301}, {117, 302}, {12, 336}, {116, 296}, {110, 306}, {14,
338}, {13, 337}, {14, 339}, {127, 290}, {125, 288}, {108, 305}, {106, 308},
{119, 297}, {11, 340}, {124, 291}, {111, 304}, {105, 310}, {242, 403}, {244,
406}, {243, 400}, {240, 404}, {245, 401}, {246, 402}, {231, 407}, {232, 408},
{236, 412}, {223, 430}, {234, 411}, {235, 409}, {233, 410}, {237, 414}, {238,
413}, {96, 281}, {98, 283}, {239, 405}, {97, 285}, {241, 399}, {145, 273}, {146,
275}, {141, 271}, {143, 269}, {189, 313}, {190, 314}, {191, 315}, {140, 265},
{144, 277}, {78, 456}, {142, 264}, {187, 317}, {139, 268}, {151, 272}, {153,
273}, {154, 275}, {187, 306}, {188, 309}, {76, 454}, {156, 278}, {152, 274},
{141, 263}, {79, 453}, {77, 454}, {158, 277}, {188, 311}, {189, 305}, {75, 453},
{190, 304}, {155, 276}, {84, 452}, {191, 303}, {147, 257}, {157, 271}, {150,
260}, {147, 256}, {150, 261}, {149, 262}, {82, 455}, {86, 451}, {85, 451}, {148,
258}, {80, 455}, {159, 264}, {148, 259}, {83, 452}, {135, 287}, {81, 456}, {146,
267}, {142, 276}, {144, 266}, {139, 278}, {129, 287}, {140, 274}, {143, 272},
{145, 270}, {174, 271}, {165, 263}, {132, 295}, {135, 292}, {128, 292}, {130,
293}, {162, 266}, {133, 300}, {137, 288}, {136, 289}, {160, 265}, {161, 267},
{164, 270}, {136, 291}, {137, 290}, {166, 269}, {132, 296}, {138, 294}, {134,
298}, {133, 297}, {131, 302}, {134, 299}, {131, 301}, {145, 319}, {138, 293},
{163, 268}, {183, 262}, {179, 257}, {182, 260}, {184, 267}, {167, 272}, {180,
259}, {181, 258}, {186, 269}, {184, 256}, {183, 270}, {168, 274}, {182, 268},
{179, 264}, {131, 319}, {169, 276}, {171, 278}, {172, 273}, {180, 265}, {173,
275}, {185, 263}, {170, 277}, {181, 266}, {186, 261}, {134, 326}, {139, 331},
{138, 330}, {135, 327}, {221, 285}, {133, 324}, {154, 347}, {152, 345}, {136,
329}, {197, 260}, {199, 262}, {137, 331}, {143, 333}, {195, 257}, {216, 282},
{131, 320}, {158, 349}, {157, 350}, {153, 346}, {134, 325}, {198, 261}, {221,
286}, {141, 329}, {156, 344}, {211, 279}, {132, 321}, {136, 333}, {217, 284},
{132, 322}, {142, 328}, {138, 332}, {133, 323}, {220, 282}, {222, 280}, {137,
334}, {196, 259}, {218, 285}, {219, 284}, {220, 283}, {222, 281}, {140, 326},
{149, 351}, {202, 256}, {212, 286}, {139, 320}, {151, 348}, {142, 325}, {140,
327}, {201, 258}, {155, 343}, {219, 279}, {210, 287}, {213, 280}, {214, 283},
{143, 321}, {215, 281}, {135, 328}, {141, 322}, {146, 323}, {144, 324}, {146,
330}, {130, 344}, {128, 348}, {144, 332}, {129, 350}, {145, 334}, {200, 298},
{195, 295}, {201, 302}, {202, 301}, {207, 294}, {199, 300}, {196, 296}, {197,
297}, {204, 288}, {205, 289}, {206, 290}, {198, 299}, {203, 292}, {147, 355},
{194, 307}, {150, 356}, {4, 503}, {150, 357}, {208, 291}, {2, 502}, {149, 353},
{148, 352}, {209, 293}, {147, 358}, {193, 308}, {3, 501}, {148, 354}, {192,
310}, {193, 312}, {3, 505}, {5, 511}, {3, 510}, {5, 504}, {2, 508}, {192, 318},
{194, 316}, {2, 509}, {5, 506}, {4, 507}, {4, 512}, {467, 512}, {481, 512},
{483, 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, 4, 5, 3)(7, 8)(11, 14, 13, 12)(15, 18, 17, 16)(19, 20, 21, 22)(23, 24,
25, 26)(27, 29, 28, 30)(31, 33, 32, 34)(35, 37, 36, 38)(39, 41, 42, 40)(43, 44,
45, 49)(46, 47, 48, 50)(51, 52, 53, 55)(54, 58, 57, 56)(59, 63, 65, 61)(60, 64,
66, 62)(67, 71, 73, 70)(68, 74, 69, 72)(75, 80, 77, 78)(76, 81, 79, 82)(83, 86,
84, 85)(87, 89, 90, 88)(91, 94, 95, 97)(92, 98, 96, 93)(99, 105, 106, 102)(100,
101, 103, 104)(107, 112, 109, 110)(108, 114, 111, 113)(115, 119, 116, 120)(117,
121, 118, 122)(123, 126, 124, 130)(125, 129, 127, 128)(131, 134)(132, 133)(135,
137)(136, 138)(139, 140, 145, 142)(141, 146, 143, 144)(147, 150, 148, 149)(151,
158, 157, 154)(152, 153, 155, 156)(159, 163, 160, 164)(161, 166, 162, 165)(167,
170, 174, 173)(168, 172, 169, 171)(175, 177, 178, 176)(179, 182, 180, 183)(181,
185, 184, 186)(187, 191, 192, 193)(188, 189, 194, 190)(195, 197, 196, 199)(198,
201, 200, 202)(203, 204, 210, 206)(205, 207, 208, 209)(211, 216, 213, 218)(212,
217, 214, 215)(219, 220, 222, 221)(223, 225, 226, 224)(227, 229, 228, 230)(231,
237, 235, 238)(232, 233, 234, 236)(239, 246, 241, 243)(240, 242, 244, 245)(247,
248, 253, 251)(249, 250, 252, 254)(255, 256, 261, 258)(257, 260, 259, 262)(263,
267, 269, 266)(264, 268, 265, 270)(271, 275, 272, 277)(273, 276, 278, 274)(279,
282, 280, 285)(281, 286, 284, 283)(287, 290, 292, 288)(289, 294, 291, 293)(295,
297, 296, 300)(298, 301, 299, 302)(303, 310, 308, 306)(304, 309, 305, 307)(311,
313, 316, 314)(312, 317, 315, 318)(319, 325, 320, 326)(321, 324, 322, 323)(327,
334, 328, 331)(329, 330, 333, 332)(335, 339, 337, 341)(336, 340, 338, 342)(343,
344, 345, 346)(347, 348, 349, 350)(351, 358, 357, 354)(352, 353, 355, 356)(359,
365, 363, 361)(360, 364, 362, 366)(367, 373, 368, 369)(370, 371, 374, 372)(375,
381, 379, 382)(376, 377, 380, 378)(383, 388, 387, 385)(384, 389, 390, 386)(391,
392, 397, 394)(393, 396, 395, 398)(399, 400, 405, 402)(401, 404, 403, 406)(407,
414, 409, 413)(408, 410, 411, 412)(415, 419, 417, 421)(416, 422, 418, 420)(423,
430, 427, 425)(424, 428, 429, 426)(431, 437, 433, 438)(432, 435, 434, 436)(439,
440, 445, 442)(441, 444, 443, 446)(447, 450, 449, 448)(451, 452)(453, 455, 454,
456)(457, 463, 460, 464)(458, 462, 459, 461)(465, 467, 468, 466)(469, 470, 476,
472)(471, 474, 473, 475)(477, 481, 484, 479)(478, 483, 482, 480)(485, 486, 492,
488)(487, 490, 489, 491)(493, 494, 500, 496)(495, 498, 497, 499)(501, 502, 507,
504)(503, 506, 505, 508)(509, 512, 511, 510) (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, 7)(2, 18)(3, 27)(4, 28)(5, 16)(6, 451)(8, 10)(9, 452)(11, 36)(12, 33)(13,
35)(14, 34)(15, 89)(17, 88)(19, 86)(20, 465)(21, 85)(22, 468)(23, 466)(24,
84)(25, 467)(26, 83)(29, 90)(30, 87)(31, 509)(32, 511)(37, 512)(38, 510)(39,
447)(40, 450)(41, 448)(42, 449)(43, 279)(44, 490)(45, 280)(46, 488)(47, 283)(48,
486)(49, 491)(50, 286)(51, 482)(52, 339)(53, 478)(54, 477)(55, 341)(56, 338)(57,
484)(58, 336)(59, 479)(60, 335)(61, 340)(62, 483)(63, 342)(64, 480)(65, 481)(66,
337)(67, 359)(68, 495)(69, 497)(70, 500)(71, 493)(72, 366)(73, 363)(74, 364)(75,
303)(76, 312)(77, 308)(78, 316)(79, 315)(80, 311)(81, 307)(82, 309)(91, 179)(92,
172)(93, 186)(94, 173)(95, 180)(96, 171)(97, 170)(98, 185)(99, 160)(100,
165)(101, 156)(102, 154)(103, 166)(104, 153)(105, 158)(106, 159)(108, 441)(110,
445)(111, 443)(112, 439)(115, 397)(116, 391)(117, 386)(118, 389)(119, 388)(120,
385)(121, 395)(122, 393)(123, 423)(124, 427)(125, 381)(126, 376)(127, 382)(128,
424)(129, 429)(130, 380)(131, 136)(132, 138)(133, 135)(134, 137)(139, 422)(140,
419)(141, 416)(142, 421)(143, 418)(144, 417)(145, 420)(146, 415)(147, 400)(148,
402)(149, 406)(150, 404)(151, 462)(152, 464)(155, 463)(157, 461)(161, 460)(162,
457)(163, 458)(164, 459)(167, 505)(168, 507)(169, 501)(174, 503)(175, 401)(176,
399)(177, 405)(178, 403)(181, 504)(182, 506)(183, 508)(184, 502)(187, 219)(188,
455)(189, 221)(190, 220)(191, 453)(192, 222)(193, 454)(194, 456)(195, 390)(196,
384)(197, 396)(198, 383)(199, 398)(200, 387)(201, 394)(202, 392)(203, 377)(204,
425)(205, 379)(206, 430)(207, 426)(208, 375)(209, 428)(210, 378)(215, 414)(216,
408)(217, 413)(218, 411)(223, 239)(224, 345)(225, 343)(226, 241)(227, 350)(228,
348)(229, 242)(230, 245)(231, 485)(232, 282)(233, 489)(234, 285)(235, 492)(236,
487)(237, 281)(238, 284)(240, 357)(243, 355)(244, 351)(246, 352)(247, 310)(248,
313)(249, 305)(250, 317)(251, 314)(252, 304)(253, 306)(254, 318)(255, 365)(256,
494)(257, 360)(258, 496)(259, 362)(260, 498)(261, 361)(262, 499)(263, 374)(264,
373)(265, 369)(266, 472)(267, 470)(268, 474)(269, 370)(270, 475)(271, 471)(272,
473)(273, 371)(274, 476)(275, 368)(276, 469)(277, 367)(278, 372)(287, 324)(288,
326)(289, 319)(290, 325)(291, 320)(292, 323)(293, 321)(294, 322)(295, 330)(296,
332)(297, 327)(298, 334)(299, 331)(300, 328)(301, 329)(302, 333)(344, 353)(346,
356)(347, 354)(349, 358)(431, 438)(432, 436)(433, 437)(434, 435)
c: (1, 91, 432, 505, 10, 503, 434, 95)(2, 279, 270, 497, 90, 487, 277, 362)(3,
88, 471, 473, 89, 4, 373, 369)(5, 360, 275, 489, 87, 495, 268, 280)(6, 155, 433,
166, 9, 165, 431, 152)(7, 180, 435, 174, 8, 167, 436, 179)(11, 393, 139, 427,
511, 390, 146, 377)(12, 461, 418, 98, 512, 106, 419, 501)(13, 378, 144, 384,
509, 423, 145, 395)(14, 507, 421, 99, 510, 93, 416, 462)(15, 272, 271, 17, 27,
265, 264, 28)(16, 45, 474, 68, 30, 233, 368, 257)(18, 259, 367, 236, 29, 69,
475, 43)(19, 25, 263, 269, 23, 21, 276, 274)(20, 254, 472, 243, 24, 82, 371,
345)(22, 343, 372, 81, 26, 246, 470, 250)(31, 196, 417, 210, 35, 121, 420,
123)(32, 124, 422, 122, 36, 203, 415, 195)(33, 169, 140, 159, 37, 185, 143,
157)(34, 151, 141, 186, 38, 160, 142, 168)(39, 128, 132, 129, 42, 208, 134,
205)(40, 200, 136, 198, 41, 116, 135, 115)(44, 226, 498, 76, 232, 353, 364,
249)(46, 237, 229, 230, 238, 48, 354, 358)(47, 321, 350, 55, 231, 326, 240,
62)(49, 252, 366, 356, 234, 79, 499, 223)(50, 64, 244, 325, 235, 52, 348,
322)(51, 57, 291, 299, 60, 61, 292, 295)(53, 296, 287, 63, 66, 298, 289, 54)(56,
251, 329, 261, 59, 75, 328, 70)(58, 71, 327, 77, 65, 255, 333, 248)(67, 311,
306, 256, 258, 310, 316, 73)(72, 304, 491, 239, 262, 315, 285, 346)(74, 344,
282, 312, 260, 241, 490, 305)(78, 247, 496, 494, 253, 80, 359, 363)(83, 307,
278, 225, 468, 317, 267, 352)(84, 355, 266, 318, 465, 224, 273, 309)(85, 466,
370, 374, 467, 86, 476, 469)(92, 401, 163, 222, 504, 400, 154, 455)(94, 441,
182, 213, 506, 108, 173, 410)(96, 456, 158, 402, 502, 219, 164, 403)(97, 412,
170, 111, 508, 211, 183, 443)(100, 452, 103, 437, 463, 451, 464, 438)(101, 114,
156, 216, 460, 444, 161, 408)(102, 147, 181, 192, 458, 175, 172, 188)(104, 411,
162, 446, 457, 218, 153, 113)(105, 194, 171, 178, 459, 187, 184, 148)(107, 385,
110, 202, 442, 392, 445, 120)(109, 119, 439, 394, 440, 201, 112, 388)(117, 406,
430, 193, 197, 399, 376, 189)(118, 190, 380, 405, 199, 191, 425, 404)(125, 407,
381, 217, 209, 214, 428, 413)(126, 176, 396, 454, 206, 149, 386, 221)(127, 414,
426, 212, 207, 215, 382, 409)(130, 220, 389, 150, 204, 453, 398, 177)(131, 387,
450, 397, 133, 391, 448, 383)(137, 375, 449, 429, 138, 424, 447, 379)(227, 293,
283, 483, 357, 288, 485, 341)(228, 339, 492, 290, 351, 480, 286, 294)(242, 281,
488, 349, 347, 486, 284, 245)(297, 493, 336, 313, 302, 365, 481, 308)(300, 303,
479, 361, 301, 314, 338, 500)(319, 334, 337, 342, 324, 332, 478, 477)(320, 484,
482, 330, 323, 340, 335, 331)
d: (1, 6)(2, 19)(3, 20)(4, 22)(5, 21)(7, 452)(8, 451)(9, 10)(11, 37)(12, 36)(13,
38)(14, 35)(15, 465)(16, 467)(17, 468)(18, 466)(23, 90)(24, 89)(25, 87)(26,
88)(27, 84)(28, 83)(29, 86)(30, 85)(31, 510)(32, 512)(33, 511)(34, 509)(39,
448)(40, 447)(41, 449)(42, 450)(43, 311)(44, 314)(45, 316)(46, 318)(47, 315)(48,
317)(49, 313)(50, 312)(51, 483)(52, 478)(53, 480)(54, 479)(55, 482)(56, 477)(57,
481)(58, 484)(59, 342)(60, 341)(61, 336)(62, 335)(63, 338)(64, 337)(65, 340)(66,
339)(67, 352)(68, 358)(69, 354)(70, 353)(71, 356)(72, 357)(73, 355)(74, 351)(75,
490)(76, 492)(77, 491)(78, 489)(79, 485)(80, 487)(81, 486)(82, 488)(91, 158)(92,
155)(93, 156)(94, 151)(95, 154)(96, 152)(97, 157)(98, 153)(99, 173)(100,
172)(101, 168)(102, 167)(103, 171)(104, 169)(105, 174)(106, 170)(107, 408)(108,
409)(109, 411)(110, 410)(111, 407)(112, 412)(113, 413)(114, 414)(115, 380)(116,
376)(117, 375)(118, 379)(119, 377)(120, 378)(121, 382)(122, 381)(123, 385)(124,
388)(125, 390)(126, 387)(127, 384)(128, 386)(129, 389)(130, 383)(135, 136)(137,
138)(139, 418)(140, 422)(141, 417)(142, 420)(143, 415)(144, 421)(145, 416)(146,
419)(147, 175)(148, 178)(149, 177)(150, 176)(159, 508)(160, 506)(161, 507)(162,
501)(163, 505)(164, 503)(165, 504)(166, 502)(179, 459)(180, 458)(181, 463)(182,
462)(183, 461)(184, 464)(185, 457)(186, 460)(187, 188)(189, 193)(190, 191)(192,
194)(195, 428)(196, 426)(197, 424)(198, 425)(199, 429)(200, 430)(201, 427)(202,
423)(203, 394)(204, 397)(205, 398)(206, 391)(207, 395)(208, 396)(209, 393)(210,
392)(211, 439)(212, 441)(213, 445)(214, 443)(215, 444)(216, 442)(217, 446)(218,
440)(219, 222)(223, 255)(224, 256)(225, 258)(226, 261)(227, 262)(228, 260)(229,
259)(230, 257)(231, 304)(232, 303)(233, 306)(234, 308)(235, 305)(236, 310)(237,
307)(238, 309)(239, 493)(240, 499)(241, 500)(242, 497)(243, 494)(244, 498)(245,
495)(246, 496)(247, 279)(248, 285)(249, 286)(250, 281)(251, 282)(252, 283)(253,
280)(254, 284)(263, 472)(264, 475)(265, 474)(266, 469)(267, 476)(268, 473)(269,
470)(270, 471)(271, 367)(272, 368)(273, 374)(274, 372)(275, 369)(276, 371)(277,
373)(278, 370)(287, 329)(288, 330)(289, 328)(290, 332)(291, 327)(292, 333)(293,
331)(294, 334)(295, 321)(296, 322)(297, 323)(298, 325)(299, 326)(300, 324)(301,
319)(302, 320)(343, 359)(344, 361)(345, 363)(346, 365)(347, 362)(348, 364)(349,
360)(350, 366)(399, 405)(404, 406)(435, 436)(437, 438)(455, 456)
e: (1, 11)(2, 83)(3, 340)(4, 335)(5, 87)(6, 36)(7, 35)(8, 31)(9, 32)(10,
511)(12, 450)(13, 451)(14, 449)(15, 53)(16, 24)(17, 54)(18, 29)(19, 60)(20,
30)(21, 61)(22, 26)(23, 51)(25, 57)(27, 66)(28, 63)(33, 39)(34, 41)(37, 42)(38,
40)(44, 347)(45, 254)(46, 346)(48, 72)(49, 73)(50, 248)(52, 58)(55, 62)(56,
59)(64, 65)(67, 79)(68, 243)(71, 244)(74, 78)(76, 349)(77, 235)(80, 344)(82,
233)(84, 465)(85, 337)(86, 342)(88, 482)(89, 484)(90, 468)(91, 390)(92, 506)(93,
429)(94, 504)(95, 427)(96, 460)(97, 459)(98, 387)(99, 375)(100, 395)(101,
502)(102, 457)(103, 378)(104, 458)(105, 508)(106, 397)(107, 453)(108, 400)(109,
193)(110, 177)(111, 178)(112, 406)(113, 188)(114, 456)(115, 168)(116, 160)(117,
119)(118, 125)(120, 130)(121, 167)(122, 166)(123, 179)(124, 155)(126, 127)(128,
185)(129, 157)(131, 419)(132, 140)(133, 418)(134, 143)(135, 141)(136, 142)(137,
416)(138, 421)(139, 432)(144, 438)(145, 437)(146, 434)(147, 411)(148, 443)(149,
414)(150, 445)(151, 200)(152, 195)(153, 181)(154, 182)(156, 164)(158, 161)(159,
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218)(176, 215)(180, 196)(186, 198)(187, 211)(189, 440)(190, 214)(191, 407)(192,
446)(194, 412)(197, 201)(199, 209)(202, 204)(206, 207)(212, 221)(213, 222)(216,
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277)(268, 275)(269, 299)(270, 278)(271, 287)(272, 298)(274, 295)(276, 291)(279,
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408)(405, 413)(409, 454)(410, 455)(415, 433)(417, 436)(420, 435)(422, 431)(423,
464)(424, 462)(425, 428)(447, 510)(448, 512)(452, 509)(466, 477)(467, 478)(479,
483)
f: (2, 3)(4, 5)(7, 8)(11, 12)(13, 14)(15, 18)(16, 17)(19, 20)(21, 22)(23,
24)(25, 26)(27, 29)(28, 30)(31, 34)(32, 33)(35, 38)(36, 37)(40, 41)(43, 46)(44,
50)(45, 48)(47, 49)(51, 58)(52, 54)(53, 56)(55, 57)(59, 66)(60, 65)(61, 62)(63,
64)(67, 68)(69, 73)(70, 74)(71, 72)(75, 76)(77, 79)(78, 81)(80, 82)(83, 85)(84,
86)(87, 88)(89, 90)(91, 92)(93, 94)(95, 96)(97, 98)(99, 101)(100, 105)(102,
103)(104, 106)(107, 108)(109, 111)(110, 114)(112, 113)(115, 117)(116, 118)(119,
122)(120, 121)(123, 127)(124, 125)(126, 129)(128, 130)(131, 132)(133, 134)(135,
138)(136, 137)(139, 143)(140, 146)(141, 145)(142, 144)(147, 148)(151, 156)(152,
154)(153, 157)(155, 158)(159, 162)(160, 161)(163, 166)(164, 165)(167, 171)(168,
173)(169, 170)(172, 174)(175, 178)(179, 181)(180, 184)(182, 186)(183, 185)(187,
194)(188, 192)(189, 191)(190, 193)(195, 201)(196, 202)(197, 198)(199, 200)(203,
209)(204, 208)(205, 206)(207, 210)(211, 217)(212, 216)(213, 215)(214, 218)(220,
221)(223, 227)(224, 229)(225, 230)(226, 228)(231, 234)(232, 235)(233, 237)(236,
238)(239, 240)(241, 244)(242, 243)(245, 246)(247, 254)(248, 252)(249, 251)(250,
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350)(351, 353)(352, 358)(354, 355)(356, 357)(359, 360)(361, 364)(362, 363)(365,
366)(367, 374)(368, 370)(369, 372)(371, 373)(375, 380)(376, 379)(377, 381)(378,
382)(383, 386)(384, 385)(387, 389)(388, 390)(391, 398)(392, 395)(393, 394)(396,
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482)(483, 484)(485, 491)(486, 489)(487, 488)(490, 492)(493, 499)(494, 497)(495,
496)(498, 500)(501, 508)(502, 505)(503, 504)(506, 507)(509, 510)(511, 512)
C4[ 512, 574 ]
512
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0