Graph forms
for C4 [ 512, 569 ] = SS[512,104]
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On this page are computer-accessible forms for the graph C4[ 512, 569 ] =
SS[512,104].
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {12, 13}, {464, 465}, {1, 3}, {12, 14}, {1, 2}, {28, 31}, {12,
15}, {1, 5}, {363, 367}, {19, 23}, {17, 21}, {1, 4}, {19, 22}, {24, 30}, {89,
94}, {21, 29}, {499, 507}, {359, 367}, {17, 24}, {18, 27}, {86, 92}, {496, 506},
{84, 95}, {20, 25}, {497, 508}, {48, 61}, {18, 28}, {498, 508}, {85, 91}, {83,
93}, {20, 26}, {193, 206}, {500, 507}, {464, 479}, {39, 55}, {459, 475}, {452,
468}, {44, 60}, {42, 58}, {42, 59}, {451, 466}, {47, 62}, {43, 57}, {484, 502},
{463, 477}, {46, 60}, {45, 63}, {192, 210}, {37, 54}, {492, 511}, {461, 478},
{459, 472}, {458, 473}, {38, 53}, {194, 209}, {44, 56}, {493, 505}, {491, 511},
{483, 503}, {481, 501}, {453, 465}, {40, 61}, {495, 506}, {457, 476}, {454,
467}, {200, 221}, {45, 59}, {488, 510}, {460, 474}, {201, 223}, {41, 62}, {494,
505}, {361, 369}, {485, 509}, {362, 370}, {360, 369}, {487, 510}, {37, 63},
{482, 504}, {460, 470}, {41, 51}, {197, 222}, {486, 509}, {480, 507}, {463,
468}, {12, 16}, {457, 469}, {366, 370}, {364, 368}, {40, 52}, {199, 219}, {365,
368}, {462, 467}, {458, 471}, {449, 479}, {195, 220}, {461, 466}, {450, 477},
{79, 111}, {469, 501}, {448, 480}, {345, 377}, {81, 113}, {80, 112}, {347, 378},
{473, 504}, {471, 502}, {78, 108}, {13, 46}, {479, 508}, {470, 501}, {455, 484},
{349, 382}, {14, 45}, {192, 228}, {478, 506}, {477, 505}, {476, 504}, {348,
376}, {193, 229}, {196, 224}, {75, 110}, {344, 381}, {82, 116}, {455, 481},
{346, 380}, {76, 107}, {198, 225}, {81, 121}, {202, 226}, {350, 375}, {80, 122},
{456, 482}, {194, 232}, {456, 483}, {468, 511}, {343, 379}, {475, 503}, {466,
510}, {465, 509}, {474, 503}, {462, 480}, {472, 502}, {85, 101}, {71, 118},
{327, 374}, {326, 375}, {196, 245}, {69, 119}, {72, 122}, {197, 247}, {23, 36},
{90, 105}, {84, 103}, {74, 121}, {200, 251}, {202, 249}, {83, 102}, {22, 32},
{67, 117}, {68, 115}, {87, 96}, {79, 120}, {195, 244}, {27, 35}, {333, 373},
{321, 377}, {197, 253}, {324, 381}, {325, 380}, {77, 119}, {334, 372}, {329,
371}, {322, 376}, {88, 98}, {201, 243}, {25, 34}, {320, 379}, {90, 97}, {88,
99}, {78, 117}, {64, 123}, {26, 33}, {196, 255}, {199, 252}, {66, 127}, {323,
382}, {89, 100}, {87, 106}, {75, 118}, {73, 116}, {195, 254}, {199, 250}, {70,
120}, {331, 373}, {330, 372}, {328, 374}, {86, 104}, {198, 248}, {200, 246},
{15, 48}, {332, 371}, {82, 109}, {77, 114}, {76, 115}, {16, 47}, {8, 75}, {63,
124}, {62, 125}, {8, 76}, {11, 79}, {59, 126}, {319, 378}, {158, 216}, {425,
495}, {297, 367}, {9, 78}, {158, 217}, {157, 218}, {56, 127}, {29, 90}, {10,
77}, {51, 123}, {156, 212}, {53, 125}, {52, 124}, {55, 126}, {150, 223}, {149,
220}, {30, 84}, {420, 494}, {161, 235}, {156, 214}, {148, 222}, {159, 212},
{418, 489}, {417, 490}, {166, 237}, {31, 83}, {416, 492}, {163, 239}, {155,
215}, {147, 221}, {419, 493}, {160, 238}, {157, 211}, {155, 213}, {148, 219},
{7, 87}, {293, 373}, {7, 86}, {302, 383}, {184, 233}, {6, 84}, {436, 486}, {393,
475}, {162, 240}, {186, 232}, {292, 374}, {6, 85}, {442, 489}, {441, 490}, {171,
248}, {180, 231}, {181, 230}, {7, 83}, {422, 498}, {421, 497}, {167, 243}, {189,
233}, {164, 241}, {180, 225}, {182, 227}, {191, 234}, {290, 375}, {294, 371},
{179, 229}, {435, 485}, {387, 469}, {182, 224}, {165, 242}, {423, 496}, {173,
250}, {174, 249}, {291, 372}, {295, 368}, {10, 82}, {186, 226}, {187, 227},
{190, 230}, {289, 377}, {298, 370}, {9, 80}, {426, 499}, {296, 369}, {11, 81},
{172, 246}, {29, 70}, {439, 492}, {391, 476}, {31, 68}, {188, 231}, {288, 379},
{6, 90}, {424, 500}, {390, 474}, {168, 244}, {169, 245}, {30, 67}, {438, 491},
{437, 488}, {394, 471}, {389, 472}, {388, 473}, {170, 247}, {183, 234}, {185,
228}, {289, 383}, {392, 470}, {385, 479}, {6, 89}, {440, 487}, {386, 477}, {7,
88}, {285, 381}, {384, 480}, {175, 206}, {447, 478}, {283, 378}, {286, 383},
{287, 382}, {183, 213}, {398, 492}, {286, 380}, {140, 239}, {142, 237}, {141,
238}, {177, 210}, {178, 209}, {186, 217}, {33, 69}, {184, 220}, {185, 221},
{284, 376}, {34, 71}, {434, 471}, {399, 490}, {397, 488}, {137, 236}, {182,
211}, {38, 64}, {141, 235}, {136, 238}, {41, 79}, {40, 78}, {39, 65}, {138,
237}, {433, 470}, {407, 496}, {405, 498}, {139, 236}, {179, 212}, {32, 72},
{444, 468}, {135, 239}, {183, 223}, {37, 76}, {443, 466}, {43, 66}, {35, 73},
{396, 486}, {39, 77}, {143, 228}, {410, 497}, {408, 499}, {135, 235}, {432,
476}, {143, 227}, {180, 216}, {38, 75}, {409, 500}, {47, 66}, {179, 222}, {36,
74}, {445, 467}, {395, 485}, {46, 64}, {181, 219}, {184, 214}, {185, 215}, {181,
218}, {446, 465}, {191, 208}, {166, 214}, {187, 203}, {189, 205}, {48, 65}, {49,
67}, {190, 204}, {147, 224}, {164, 215}, {159, 236}, {188, 207}, {35, 87}, {431,
475}, {430, 474}, {150, 226}, {149, 225}, {146, 230}, {50, 70}, {32, 85}, {429,
472}, {428, 473}, {49, 71}, {413, 491}, {401, 487}, {165, 211}, {145, 231}, {50,
68}, {33, 86}, {415, 488}, {162, 213}, {146, 229}, {50, 69}, {49, 73}, {145,
233}, {144, 232}, {137, 241}, {43, 82}, {414, 487}, {406, 495}, {402, 491},
{400, 489}, {160, 217}, {34, 88}, {412, 486}, {404, 494}, {144, 234}, {138,
240}, {136, 242}, {134, 252}, {132, 254}, {50, 72}, {42, 81}, {163, 216}, {161,
218}, {139, 240}, {132, 255}, {128, 251}, {49, 74}, {176, 203}, {44, 80}, {129,
253}, {177, 205}, {36, 89}, {131, 253}, {427, 469}, {411, 485}, {403, 493},
{140, 242}, {133, 251}, {178, 204}, {142, 241}, {175, 208}, {176, 207}, {70,
199}, {125, 252}, {72, 202}, {124, 254}, {51, 176}, {74, 201}, {71, 196}, {123,
255}, {52, 177}, {67, 197}, {53, 178}, {68, 195}, {16, 152}, {380, 500}, {56,
176}, {21, 159}, {16, 155}, {379, 496}, {378, 497}, {377, 498}, {303, 420}, {58,
177}, {57, 178}, {69, 200}, {367, 482}, {381, 499}, {73, 198}, {100, 244}, {372,
484}, {106, 250}, {101, 245}, {259, 403}, {280, 392}, {13, 156}, {382, 495},
{370, 483}, {368, 481}, {105, 248}, {103, 246}, {15, 158}, {279, 390}, {298,
443}, {56, 170}, {371, 481}, {260, 406}, {261, 407}, {263, 405}, {264, 410},
{277, 391}, {278, 388}, {14, 157}, {266, 409}, {51, 167}, {374, 482}, {15, 154},
{369, 484}, {310, 419}, {306, 423}, {304, 421}, {102, 243}, {57, 172}, {297,
444}, {296, 446}, {376, 494}, {373, 483}, {14, 153}, {305, 422}, {58, 173}, {55,
175}, {54, 175}, {275, 394}, {283, 386}, {13, 151}, {375, 493}, {99, 249}, {52,
174}, {281, 387}, {295, 445}, {292, 447}, {307, 424}, {55, 171}, {53, 168},
{308, 425}, {257, 412}, {265, 404}, {276, 393}, {284, 385}, {262, 408}, {287,
385}, {54, 169}, {309, 426}, {104, 247}, {258, 413}, {282, 389}, {285, 386},
{256, 416}, {304, 400}, {288, 384}, {313, 408}, {383, 478}, {315, 410}, {290,
384}, {314, 409}, {311, 403}, {24, 189}, {26, 191}, {308, 402}, {25, 190}, {279,
432}, {316, 404}, {317, 405}, {274, 443}, {318, 407}, {22, 188}, {299, 385},
{281, 434}, {282, 433}, {273, 445}, {300, 384}, {272, 445}, {21, 187}, {312,
406}, {301, 386}, {312, 392}, {268, 446}, {315, 393}, {270, 444}, {269, 446},
{22, 162}, {271, 443}, {280, 429}, {23, 160}, {54, 129}, {267, 444}, {275, 427},
{276, 428}, {24, 161}, {317, 388}, {278, 431}, {58, 128}, {57, 130}, {319, 388},
{318, 389}, {310, 397}, {277, 430}, {61, 129}, {306, 398}, {25, 164}, {314,
391}, {311, 394}, {27, 166}, {60, 130}, {309, 395}, {305, 399}, {303, 401}, {26,
165}, {316, 387}, {313, 390}, {307, 396}, {28, 163}, {332, 396}, {340, 404},
{65, 128}, {334, 399}, {329, 395}, {324, 391}, {359, 420}, {333, 398}, {325,
390}, {338, 406}, {364, 424}, {326, 387}, {336, 405}, {328, 397}, {323, 389},
{337, 407}, {365, 426}, {366, 425}, {320, 392}, {363, 419}, {322, 394}, {321,
393}, {356, 429}, {363, 418}, {339, 409}, {342, 412}, {336, 411}, {362, 417},
{342, 410}, {352, 428}, {338, 415}, {365, 416}, {362, 423}, {360, 421}, {354,
431}, {341, 408}, {337, 414}, {361, 422}, {353, 430}, {335, 413}, {355, 432},
{352, 437}, {358, 435}, {354, 439}, {327, 401}, {23, 192}, {358, 433}, {357,
434}, {353, 438}, {27, 194}, {331, 402}, {330, 400}, {355, 440}, {335, 403},
{357, 441}, {28, 193}, {356, 442}, {291, 448}, {347, 440}, {343, 436}, {299,
456}, {300, 456}, {349, 441}, {348, 442}, {293, 450}, {294, 449}, {300, 453},
{302, 455}, {301, 455}, {302, 452}, {351, 436}, {299, 454}, {350, 435}, {346,
439}, {344, 437}, {301, 451}, {345, 438}, {339, 418}, {366, 412}, {364, 415},
{340, 416}, {351, 427}, {341, 417}, {360, 413}, {361, 414}, {359, 411}, {92,
348}, {206, 462}, {207, 463}, {208, 464}, {95, 350}, {204, 461}, {46, 300},
{210, 464}, {45, 302}, {94, 349}, {91, 344}, {205, 462}, {47, 299}, {98, 358},
{91, 351}, {96, 357}, {97, 356}, {203, 461}, {93, 343}, {36, 303}, {107, 358},
{111, 354}, {109, 352}, {110, 353}, {32, 304}, {34, 305}, {112, 355}, {33, 308},
{113, 356}, {35, 309}, {114, 357}, {48, 301}, {209, 463}, {123, 347}, {126,
350}, {124, 348}, {228, 452}, {18, 307}, {111, 334}, {229, 452}, {19, 305},
{110, 332}, {231, 453}, {230, 453}, {17, 309}, {108, 328}, {20, 304}, {17, 308},
{127, 346}, {125, 344}, {19, 310}, {227, 454}, {20, 306}, {107, 333}, {109,
330}, {31, 310}, {234, 451}, {233, 451}, {100, 335}, {30, 306}, {29, 307}, {232,
454}, {102, 340}, {119, 325}, {108, 351}, {116, 320}, {118, 322}, {117, 321},
{246, 450}, {99, 342}, {114, 327}, {103, 338}, {101, 336}, {245, 448}, {247,
450}, {97, 345}, {98, 346}, {104, 337}, {122, 323}, {112, 329}, {106, 339},
{248, 449}, {249, 448}, {113, 331}, {96, 347}, {250, 449}, {92, 352}, {105,
341}, {95, 355}, {94, 354}, {93, 353}, {18, 303}, {121, 324}, {120, 326}, {207,
396}, {239, 425}, {204, 395}, {236, 421}, {238, 423}, {91, 273}, {237, 422},
{244, 447}, {94, 274}, {115, 319}, {243, 447}, {226, 429}, {235, 420}, {225,
433}, {95, 270}, {242, 419}, {93, 271}, {224, 434}, {104, 317}, {92, 267}, {105,
318}, {240, 424}, {101, 316}, {99, 312}, {203, 400}, {241, 426}, {205, 401},
{206, 402}, {210, 398}, {103, 314}, {106, 311}, {208, 397}, {209, 399}, {100,
315}, {102, 313}, {253, 418}, {254, 417}, {8, 360}, {11, 363}, {10, 362}, {9,
361}, {251, 411}, {255, 415}, {115, 274}, {212, 437}, {214, 439}, {216, 442},
{252, 414}, {213, 438}, {218, 441}, {111, 266}, {10, 364}, {11, 365}, {9, 366},
{118, 273}, {40, 335}, {211, 436}, {107, 259}, {108, 261}, {110, 263}, {122,
272}, {217, 435}, {109, 262}, {96, 268}, {97, 269}, {8, 359}, {215, 440}, {223,
432}, {219, 427}, {220, 428}, {222, 431}, {98, 272}, {39, 340}, {221, 430}, {37,
337}, {120, 268}, {38, 339}, {114, 260}, {121, 271}, {42, 338}, {113, 265},
{112, 264}, {41, 336}, {119, 270}, {116, 269}, {44, 341}, {43, 342}, {127, 258},
{117, 267}, {126, 257}, {183, 311}, {130, 256}, {163, 289}, {162, 288}, {131,
256}, {159, 284}, {184, 316}, {164, 290}, {133, 258}, {134, 257}, {185, 318},
{186, 317}, {65, 459}, {64, 459}, {66, 457}, {179, 312}, {181, 313}, {182, 315},
{180, 314}, {139, 282}, {152, 265}, {139, 281}, {154, 264}, {151, 261}, {153,
266}, {151, 259}, {142, 280}, {141, 277}, {132, 285}, {141, 276}, {140, 278},
{132, 287}, {140, 279}, {152, 260}, {154, 262}, {131, 286}, {142, 275}, {134,
283}, {153, 263}, {131, 284}, {135, 295}, {136, 296}, {174, 268}, {137, 298},
{138, 297}, {133, 289}, {135, 291}, {169, 269}, {170, 271}, {134, 288}, {168,
270}, {133, 290}, {167, 267}, {137, 292}, {136, 294}, {138, 293}, {143, 319},
{168, 280}, {170, 281}, {151, 291}, {158, 298}, {157, 297}, {156, 296}, {191,
266}, {190, 265}, {165, 285}, {187, 259}, {188, 260}, {166, 287}, {173, 276},
{161, 283}, {171, 273}, {189, 263}, {174, 277}, {155, 295}, {153, 292}, {167,
282}, {171, 278}, {173, 272}, {152, 294}, {160, 286}, {169, 279}, {172, 274},
{154, 293}, {172, 275}, {198, 258}, {192, 262}, {194, 261}, {201, 257}, {193,
264}, {202, 256}, {143, 320}, {144, 321}, {146, 323}, {145, 322}, {148, 327},
{145, 325}, {144, 326}, {146, 324}, {128, 343}, {147, 329}, {150, 332}, {130,
345}, {150, 333}, {149, 334}, {147, 328}, {129, 349}, {148, 330}, {149, 331},
{4, 501}, {61, 460}, {59, 458}, {62, 460}, {2, 503}, {3, 502}, {60, 458}, {63,
457}, {3, 507}, {4, 508}, {5, 511}, {2, 505}, {2, 510}, {5, 504}, {3, 509}, {5,
506}, {4, 512}, {467, 512}, {489, 512}, {490, 512} }>;
(II) A more general form is to represent the graph as the orbit of {12, 13}
under the group generated by the following permutations:
a: (1, 29)(2, 90)(3, 307)(4, 21)(5, 70)(6, 503)(7, 45)(8, 186)(9, 108)(10,
381)(11, 416)(12, 34)(13, 305)(14, 88)(15, 71)(16, 25)(17, 501)(18, 502)(19,
46)(20, 47)(22, 300)(23, 64)(24, 470)(26, 66)(27, 484)(28, 471)(30, 460)(31,
458)(32, 456)(33, 457)(35, 455)(36, 459)(37, 104)(38, 160)(39, 121)(40, 117)(41,
398)(42, 102)(43, 165)(44, 397)(48, 49)(50, 504)(51, 210)(52, 267)(53, 238)(54,
247)(55, 271)(56, 208)(57, 242)(58, 243)(59, 83)(60, 310)(61, 67)(62, 306)(63,
86)(65, 74)(68, 473)(69, 476)(72, 482)(73, 301)(75, 217)(76, 317)(77, 324)(79,
492)(80, 328)(81, 340)(82, 285)(84, 474)(85, 483)(87, 302)(89, 475)(91, 370)(92,
124)(93, 126)(94, 431)(95, 430)(96, 452)(97, 505)(98, 153)(99, 157)(100,
393)(101, 373)(103, 390)(105, 510)(106, 383)(107, 405)(109, 132)(110, 435)(111,
439)(112, 147)(113, 404)(114, 146)(115, 388)(116, 386)(118, 158)(119, 391)(120,
511)(122, 374)(123, 192)(125, 423)(127, 191)(128, 201)(129, 197)(130, 419)(131,
418)(133, 183)(134, 379)(135, 142)(136, 178)(137, 445)(138, 448)(139, 462)(140,
172)(141, 168)(143, 378)(144, 413)(145, 180)(148, 382)(149, 184)(150, 411)(151,
422)(152, 190)(154, 196)(155, 164)(156, 399)(159, 512)(161, 392)(162, 384)(163,
394)(166, 372)(167, 177)(169, 450)(170, 175)(171, 443)(173, 447)(174, 444)(176,
464)(179, 441)(181, 406)(182, 410)(185, 440)(187, 508)(188, 453)(189, 433)(193,
434)(194, 369)(195, 428)(198, 451)(199, 506)(200, 432)(202, 367)(203, 479)(204,
294)(205, 282)(206, 281)(207, 465)(209, 296)(211, 342)(212, 490)(213, 290)(214,
334)(216, 322)(218, 312)(219, 495)(221, 355)(222, 349)(223, 251)(224, 264)(225,
233)(226, 359)(227, 497)(228, 347)(229, 357)(230, 260)(232, 360)(234, 258)(235,
280)(236, 467)(237, 291)(239, 275)(240, 480)(241, 295)(244, 276)(245, 293)(246,
279)(248, 466)(249, 297)(250, 478)(252, 496)(254, 352)(255, 262)(256, 363)(257,
343)(259, 498)(261, 361)(263, 358)(266, 346)(268, 468)(269, 477)(270, 277)(272,
292)(273, 298)(274, 278)(283, 320)(284, 489)(286, 339)(287, 330)(289, 311)(299,
304)(303, 472)(308, 469)(309, 481)(313, 338)(314, 325)(316, 331)(318, 487)(321,
335)(323, 327)(326, 491)(332, 485)(333, 336)(341, 488)(344, 362)(345, 493)(350,
353)(351, 366)(356, 494)(364, 499)(368, 426)(371, 395)(375, 438)(376, 442)(377,
403)(380, 409)(385, 400)(387, 402)(389, 401)(396, 509)(407, 414)(408, 415)(412,
436)(417, 437)(420, 429)(421, 454)(424, 507)(425, 427)(446, 463)(449, 461) (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: (2, 3)(4, 5)(8, 10)(13, 15)(14, 16)(17, 19)(21, 23)(22, 24)(25, 26)(27,
28)(29, 36)(30, 32)(31, 35)(33, 34)(37, 43)(38, 39)(40, 44)(41, 42)(45, 47)(46,
48)(49, 50)(51, 58)(52, 56)(53, 55)(54, 57)(59, 62)(60, 61)(63, 66)(64, 65)(67,
72)(68, 73)(69, 71)(70, 74)(75, 77)(76, 82)(78, 80)(79, 81)(83, 87)(84, 85)(86,
88)(89, 90)(91, 95)(92, 98)(93, 96)(94, 97)(99, 104)(100, 105)(101, 103)(102,
106)(107, 109)(108, 112)(110, 114)(111, 113)(115, 116)(117, 122)(118, 119)(120,
121)(123, 128)(124, 127)(125, 126)(129, 130)(132, 133)(135, 138)(136, 137)(139,
141)(140, 142)(144, 146)(148, 150)(151, 154)(152, 153)(155, 157)(156, 158)(159,
160)(161, 162)(163, 166)(164, 165)(167, 173)(168, 171)(169, 172)(170, 174)(175,
178)(176, 177)(179, 186)(180, 184)(181, 183)(182, 185)(187, 192)(188, 189)(190,
191)(193, 194)(195, 198)(196, 200)(197, 202)(199, 201)(203, 210)(204, 208)(205,
207)(206, 209)(211, 215)(212, 217)(213, 218)(214, 216)(219, 223)(220, 225)(221,
224)(222, 226)(227, 228)(229, 232)(230, 234)(231, 233)(235, 240)(236, 238)(237,
239)(241, 242)(243, 250)(244, 248)(245, 246)(247, 249)(251, 255)(252, 257)(253,
256)(254, 258)(259, 262)(260, 263)(261, 264)(265, 266)(267, 272)(268, 271)(269,
274)(270, 273)(275, 279)(276, 282)(277, 281)(278, 280)(283, 288)(284, 286)(285,
290)(287, 289)(291, 293)(292, 294)(295, 297)(296, 298)(299, 302)(300, 301)(303,
307)(304, 306)(305, 308)(309, 310)(311, 313)(312, 317)(314, 316)(315, 318)(319,
320)(321, 323)(322, 325)(324, 326)(327, 332)(328, 329)(330, 333)(331, 334)(335,
341)(336, 338)(337, 342)(339, 340)(343, 347)(344, 350)(345, 349)(346, 348)(351,
355)(352, 358)(353, 357)(354, 356)(359, 364)(360, 362)(361, 366)(363, 365)(367,
368)(369, 370)(371, 374)(372, 373)(375, 381)(376, 380)(377, 382)(378, 379)(383,
385)(384, 386)(387, 391)(388, 392)(389, 393)(390, 394)(395, 397)(396, 401)(398,
400)(399, 402)(403, 408)(404, 409)(405, 406)(407, 410)(411, 415)(412, 414)(413,
417)(416, 418)(419, 426)(420, 424)(421, 423)(422, 425)(427, 432)(428, 433)(429,
431)(430, 434)(435, 437)(436, 440)(438, 441)(439, 442)(443, 446)(444, 445)(447,
449)(448, 450)(451, 453)(452, 454)(455, 456)(458, 460)(461, 464)(462, 463)(465,
466)(467, 468)(469, 476)(470, 473)(471, 474)(472, 475)(477, 480)(478, 479)(481,
482)(483, 484)(485, 488)(486, 487)(489, 492)(490, 491)(493, 499)(494, 500)(495,
498)(496, 497)(501, 504)(502, 503)(505, 507)(506, 508)(509, 510)(511, 512)
c: (1, 8, 6, 146)(2, 76, 90, 230)(3, 359, 89, 323)(4, 75, 84, 229)(5, 360, 85,
324)(7, 10, 12, 144)(9, 448, 11, 447)(13, 326, 83, 362)(14, 321, 88, 364)(15,
232, 87, 77)(16, 234, 86, 82)(17, 148, 460, 150)(18, 441, 459, 435)(19, 132,
458, 133)(20, 437, 457, 438)(21, 219, 474, 333)(22, 285, 473, 258)(23, 287, 471,
251)(24, 222, 470, 332)(25, 488, 63, 345)(26, 352, 66, 213)(27, 357, 65,
217)(28, 490, 64, 350)(29, 181, 503, 107)(30, 179, 501, 110)(31, 417, 46,
375)(32, 381, 504, 413)(33, 109, 47, 183)(34, 415, 45, 377)(35, 114, 48,
186)(36, 382, 502, 411)(37, 97, 190, 510)(38, 95, 193, 512)(39, 158, 194,
96)(40, 202, 426, 374)(41, 201, 425, 372)(42, 383, 422, 196)(43, 155, 191,
92)(44, 384, 419, 195)(49, 406, 455, 405)(50, 408, 456, 403)(51, 257, 239,
334)(52, 256, 241, 328)(53, 355, 206, 489)(54, 356, 204, 487)(55, 216, 209,
347)(56, 288, 242, 220)(57, 215, 208, 348)(58, 286, 237, 224)(59, 289, 305,
255)(60, 290, 310, 254)(61, 226, 309, 327)(62, 223, 308, 330)(67, 312, 481,
263)(68, 341, 300, 493)(69, 262, 299, 311)(70, 313, 483, 259)(71, 338, 302,
498)(72, 499, 482, 335)(73, 260, 301, 317)(74, 495, 484, 336)(78, 249, 365,
292)(79, 243, 366, 291)(80, 480, 363, 244)(81, 478, 361, 245)(91, 391, 511,
421)(93, 423, 156, 387)(94, 389, 509, 420)(98, 424, 157, 393)(99, 368, 153,
117)(100, 122, 507, 367)(101, 121, 506, 369)(102, 370, 151, 120)(103, 452, 508,
118)(104, 116, 152, 451)(105, 453, 505, 115)(106, 119, 154, 454)(108, 174, 416,
137)(111, 167, 412, 135)(112, 462, 418, 168)(113, 461, 414, 169)(123, 126, 163,
399)(124, 130, 164, 397)(125, 432, 402, 400)(127, 162, 165, 428)(128, 160, 166,
434)(129, 429, 395, 401)(131, 142, 147, 177)(134, 140, 149, 176)(136, 184, 170,
379)(138, 182, 173, 380)(139, 436, 141, 439)(143, 449, 145, 450)(159, 427, 430,
398)(161, 431, 433, 396)(171, 180, 463, 378)(172, 185, 464, 376)(175, 442, 178,
440)(187, 199, 390, 373)(188, 386, 388, 198)(189, 197, 392, 371)(192, 385, 394,
200)(203, 252, 279, 331)(205, 253, 280, 329)(207, 283, 278, 225)(210, 284, 275,
221)(211, 276, 346, 240)(212, 469, 353, 306)(214, 281, 343, 238)(218, 475, 358,
307)(227, 250, 325, 293)(228, 479, 322, 246)(231, 477, 319, 248)(233, 247, 320,
294)(235, 354, 282, 486)(236, 351, 277, 492)(261, 268, 340, 298)(264, 467, 339,
270)(265, 466, 337, 269)(266, 267, 342, 295)(271, 496, 296, 316)(272, 500, 297,
315)(273, 314, 468, 497)(274, 318, 465, 494)(303, 349, 472, 485)(304, 344, 476,
491)(404, 443, 407, 446)(409, 444, 410, 445)
d: (3, 4)(6, 7)(8, 11)(9, 10)(13, 16)(17, 20)(18, 19)(21, 25)(22, 27)(23,
28)(24, 26)(29, 34)(30, 33)(31, 36)(32, 35)(37, 42)(38, 41)(39, 40)(43, 44)(46,
47)(49, 50)(51, 53)(52, 55)(54, 58)(56, 57)(59, 63)(60, 66)(61, 65)(62, 64)(67,
69)(68, 74)(70, 71)(72, 73)(75, 79)(76, 81)(77, 78)(80, 82)(83, 89)(84, 86)(85,
87)(88, 90)(91, 96)(92, 95)(93, 94)(97, 98)(99, 105)(100, 102)(101, 106)(103,
104)(107, 113)(108, 114)(109, 112)(110, 111)(115, 121)(116, 122)(117, 119)(118,
120)(123, 125)(124, 126)(127, 130)(128, 129)(131, 133)(132, 134)(135, 136)(139,
142)(140, 141)(143, 146)(144, 145)(147, 148)(149, 150)(151, 152)(155, 156)(159,
164)(160, 163)(161, 165)(162, 166)(167, 168)(169, 173)(170, 172)(171, 174)(175,
177)(176, 178)(179, 185)(180, 186)(181, 182)(183, 184)(187, 190)(188, 194)(189,
191)(192, 193)(195, 201)(196, 199)(197, 200)(198, 202)(203, 204)(205, 208)(206,
210)(207, 209)(211, 218)(212, 215)(213, 214)(216, 217)(219, 224)(220, 223)(221,
222)(225, 226)(227, 230)(228, 229)(231, 232)(233, 234)(235, 242)(236, 241)(237,
240)(238, 239)(243, 244)(245, 250)(246, 247)(248, 249)(251, 253)(252, 255)(254,
257)(256, 258)(259, 265)(260, 261)(262, 264)(263, 266)(267, 270)(268, 273)(269,
272)(271, 274)(275, 281)(276, 279)(277, 278)(280, 282)(283, 285)(284, 290)(286,
289)(287, 288)(291, 294)(295, 296)(299, 300)(303, 310)(304, 309)(305, 307)(306,
308)(311, 316)(312, 318)(313, 315)(314, 317)(319, 324)(320, 323)(321, 325)(322,
326)(327, 328)(329, 330)(331, 333)(332, 334)(335, 340)(336, 339)(337, 338)(341,
342)(343, 349)(344, 347)(345, 346)(348, 350)(351, 357)(352, 355)(353, 354)(356,
358)(359, 363)(360, 365)(361, 364)(362, 366)(368, 369)(371, 372)(375, 376)(377,
380)(378, 381)(379, 382)(384, 385)(387, 394)(388, 391)(389, 392)(390, 393)(395,
400)(396, 399)(397, 401)(398, 402)(403, 404)(405, 409)(406, 407)(408, 410)(411,
418)(412, 417)(413, 416)(414, 415)(419, 420)(421, 426)(422, 424)(423, 425)(427,
434)(428, 432)(429, 433)(430, 431)(435, 442)(436, 441)(437, 440)(438, 439)(445,
446)(448, 449)(453, 454)(457, 458)(459, 460)(462, 464)(465, 467)(469, 471)(470,
472)(473, 476)(474, 475)(479, 480)(481, 484)(485, 489)(486, 490)(487, 488)(491,
492)(493, 494)(495, 496)(497, 499)(498, 500)(501, 502)(507, 508)(509, 512)
e: (1, 6, 12, 7)(2, 90, 14, 88)(3, 84, 16, 83)(4, 89, 13, 86)(5, 85, 15, 87)(8,
9, 144, 143)(10, 11, 146, 145)(17, 457, 19, 459)(18, 458, 20, 460)(21, 63, 305,
475)(22, 65, 309, 476)(23, 64, 308, 469)(24, 66, 310, 472)(25, 474, 307, 59)(26,
470, 303, 60)(27, 473, 304, 61)(28, 471, 306, 62)(29, 45, 34, 503)(30, 47, 31,
502)(32, 48, 35, 504)(33, 501, 36, 46)(37, 422, 393, 187)(38, 425, 387, 192)(39,
426, 391, 188)(40, 194, 388, 421)(41, 193, 394, 423)(42, 190, 390, 424)(43, 419,
389, 189)(44, 191, 392, 420)(49, 456, 50, 455)(51, 206, 275, 238)(52, 209, 278,
236)(53, 239, 281, 210)(54, 237, 276, 203)(55, 241, 277, 207)(56, 208, 280,
235)(57, 242, 282, 205)(58, 204, 279, 240)(67, 299, 68, 484)(69, 481, 74,
300)(70, 302, 71, 483)(72, 301, 73, 482)(75, 366, 326, 228)(76, 361, 321,
227)(77, 365, 324, 231)(78, 232, 319, 360)(79, 229, 322, 362)(80, 234, 320,
359)(81, 230, 325, 364)(82, 363, 323, 233)(91, 158, 96, 511)(92, 512, 94,
156)(93, 509, 95, 155)(97, 157, 98, 510)(99, 505, 105, 153)(100, 151, 104,
508)(101, 154, 106, 506)(102, 507, 103, 152)(107, 414, 377, 182)(108, 186, 378,
413)(109, 418, 382, 184)(110, 412, 375, 185)(111, 179, 376, 417)(112, 183, 379,
411)(113, 181, 380, 415)(114, 416, 381, 180)(115, 369, 117, 454)(116, 367, 122,
451)(118, 370, 120, 452)(119, 368, 121, 453)(123, 402, 427, 160)(124, 399, 431,
159)(125, 163, 434, 398)(126, 164, 430, 396)(127, 397, 429, 161)(128, 395, 432,
162)(129, 166, 428, 400)(130, 165, 433, 401)(131, 132, 149, 148)(133, 147, 150,
134)(135, 170, 464, 168)(136, 167, 462, 172)(137, 174, 463, 171)(138, 173, 461,
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383)(198, 374, 202, 386)(200, 371, 201, 384)(211, 358, 487, 345)(212, 348, 490,
354)(213, 343, 485, 355)(214, 352, 489, 349)(215, 353, 486, 350)(216, 357, 492,
344)(217, 347, 491, 351)(218, 346, 488, 356)(219, 286, 255, 331)(220, 330, 253,
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289)(225, 327, 256, 285)(226, 283, 258, 328)(243, 480, 246, 294)(244, 291, 247,
479)(245, 293, 250, 478)(248, 292, 249, 477)(259, 337, 498, 315)(260, 340, 499,
314)(261, 317, 497, 335)(262, 339, 495, 316)(263, 342, 493, 318)(264, 311, 496,
336)(265, 313, 500, 338)(266, 312, 494, 341)(267, 467, 274, 296)(268, 468, 273,
298)(269, 297, 272, 466)(270, 295, 271, 465)(403, 407, 405, 410)(404, 408, 409,
406)(435, 440, 438, 436)(437, 442, 441, 439)(443, 446, 444, 445)(447, 448, 450,
449)
f: (2, 5)(3, 4)(8, 10)(9, 11)(13, 16)(14, 15)(17, 19)(18, 20)(21, 22)(23,
24)(25, 27)(26, 28)(29, 32)(30, 36)(31, 33)(34, 35)(37, 39)(38, 43)(40, 42)(41,
44)(45, 48)(46, 47)(51, 56)(52, 58)(53, 57)(54, 55)(59, 61)(60, 62)(63, 65)(64,
66)(67, 74)(68, 69)(70, 72)(71, 73)(75, 82)(76, 77)(78, 81)(79, 80)(83, 86)(84,
89)(85, 90)(87, 88)(91, 97)(92, 93)(94, 95)(96, 98)(99, 106)(100, 103)(101,
105)(102, 104)(107, 114)(108, 113)(109, 110)(111, 112)(115, 119)(116, 118)(117,
121)(120, 122)(123, 127)(124, 128)(125, 130)(126, 129)(131, 134)(132, 133)(135,
136)(137, 138)(143, 145)(144, 146)(147, 149)(148, 150)(151, 152)(153, 154)(155,
156)(157, 158)(159, 162)(160, 161)(163, 165)(164, 166)(167, 170)(168, 172)(169,
171)(173, 174)(179, 183)(180, 182)(181, 186)(184, 185)(187, 188)(189, 192)(190,
194)(191, 193)(195, 200)(196, 198)(197, 201)(199, 202)(203, 207)(204, 209)(205,
210)(206, 208)(211, 216)(212, 213)(214, 215)(217, 218)(219, 226)(220, 221)(222,
223)(224, 225)(227, 231)(228, 233)(229, 234)(230, 232)(235, 238)(236, 240)(237,
241)(239, 242)(243, 247)(244, 246)(245, 248)(249, 250)(251, 254)(252, 256)(253,
257)(255, 258)(259, 260)(261, 265)(262, 263)(264, 266)(267, 271)(268, 272)(269,
273)(270, 274)(275, 280)(276, 277)(278, 279)(281, 282)(283, 286)(284, 288)(285,
289)(287, 290)(291, 294)(292, 293)(295, 296)(297, 298)(299, 300)(301, 302)(303,
306)(304, 307)(305, 309)(308, 310)(311, 312)(313, 317)(314, 315)(316, 318)(319,
325)(320, 322)(321, 324)(323, 326)(327, 333)(328, 331)(329, 334)(330, 332)(335,
338)(336, 341)(337, 340)(339, 342)(343, 348)(344, 345)(346, 347)(349, 350)(351,
356)(352, 353)(354, 355)(357, 358)(359, 362)(360, 364)(361, 365)(363, 366)(367,
370)(368, 369)(371, 372)(373, 374)(375, 382)(376, 379)(377, 381)(378, 380)(383,
386)(384, 385)(387, 389)(388, 390)(391, 393)(392, 394)(395, 399)(396, 400)(397,
402)(398, 401)(403, 406)(404, 407)(405, 408)(409, 410)(411, 417)(412, 418)(413,
415)(414, 416)(419, 425)(420, 423)(421, 424)(422, 426)(427, 429)(428, 430)(431,
432)(433, 434)(435, 441)(436, 442)(437, 438)(439, 440)(443, 444)(445, 446)(447,
450)(448, 449)(451, 452)(453, 454)(457, 459)(458, 460)(461, 463)(462, 464)(465,
467)(466, 468)(469, 472)(470, 471)(473, 474)(475, 476)(477, 478)(479, 480)(481,
484)(482, 483)(485, 490)(486, 489)(487, 492)(488, 491)(493, 495)(494, 496)(497,
500)(498, 499)(501, 502)(503, 504)(505, 506)(507, 508)(509, 512)(510, 511)
g: (1, 37, 168, 159)(2, 337, 53, 212)(3, 54, 270, 21)(4, 63, 244, 236)(5, 76,
280, 284)(6, 424, 462, 126)(7, 190, 136, 430)(8, 392, 376, 506)(9, 41, 109,
451)(10, 189, 412, 101)(11, 192, 183, 122)(12, 393, 170, 399)(13, 475, 247,
209)(14, 315, 281, 490)(15, 321, 56, 334)(16, 276, 271, 305)(17, 509, 169,
119)(18, 384, 171, 103)(19, 155, 173, 121)(20, 371, 174, 102)(22, 295, 58,
74)(23, 213, 272, 81)(24, 486, 245, 77)(25, 294, 277, 83)(26, 329, 268, 313)(27,
300, 278, 246)(28, 290, 248, 314)(29, 507, 175, 95)(30, 396, 448, 39)(31, 164,
449, 391)(32, 368, 177, 201)(33, 395, 446, 390)(34, 152, 141, 93)(35, 453, 140,
200)(36, 162, 445, 42)(38, 179, 505, 407)(40, 167, 400, 455)(43, 184, 370,
405)(44, 111, 154, 144)(45, 100, 139, 512)(46, 431, 450, 194)(47, 428, 443,
422)(48, 117, 176, 372)(49, 188, 135, 128)(50, 426, 464, 432)(51, 330, 301,
78)(52, 243, 304, 481)(55, 84, 307, 480)(57, 214, 483, 317)(59, 89, 240,
467)(60, 354, 293, 232)(61, 267, 203, 484)(62, 352, 466, 361)(64, 222, 477,
261)(65, 67, 207, 291)(66, 220, 298, 498)(68, 241, 479, 476)(69, 309, 465,
279)(70, 499, 208, 355)(71, 260, 235, 343)(72, 365, 210, 223)(73, 231, 239,
251)(75, 312, 494, 496)(79, 262, 234, 80)(82, 233, 366, 336)(85, 364, 205,
257)(86, 204, 296, 474)(87, 230, 242, 221)(88, 265, 238, 353)(90, 500, 206,
350)(91, 415, 401, 134)(92, 461, 369, 460)(94, 138, 454, 458)(96, 181, 165,
147)(97, 380, 402, 435)(98, 113, 160, 438)(99, 404, 423, 110)(104, 178, 156,
503)(105, 409, 193, 375)(106, 146, 419, 185)(107, 429, 131, 511)(108, 123, 148,
386)(112, 120, 408, 191)(114, 161, 436, 196)(115, 142, 385, 504)(116, 145, 425,
411)(118, 406, 420, 379)(124, 447, 421, 501)(125, 437, 510, 414)(127, 149, 158,
377)(129, 444, 187, 502)(130, 439, 373, 186)(132, 374, 378, 427)(133, 198, 180,
163)(137, 508, 457, 195)(143, 394, 382, 367)(150, 202, 416, 398)(151, 459, 197,
463)(153, 410, 387, 417)(157, 182, 434, 441)(166, 456, 388, 172)(199, 381, 397,
440)(211, 224, 357, 218)(215, 250, 324, 310)(216, 289, 258, 225)(217, 345, 346,
331)(219, 285, 328, 347)(226, 256, 492, 333)(227, 471, 349, 297)(228, 311, 323,
363)(229, 493, 318, 339)(237, 299, 473, 274)(249, 340, 306, 332)(252, 344, 488,
487)(253, 468, 259, 472)(254, 292, 497, 469)(255, 327, 283, 351)(263, 342, 316,
362)(264, 326, 341, 266)(269, 325, 308, 485)(273, 338, 303, 288)(275, 287, 482,
319)(282, 489, 302, 335)(286, 491, 358, 356)(320, 322, 495, 359)(348, 478, 360,
470)(383, 413, 433, 442)(389, 418, 452, 403)
h: (1, 17)(2, 21)(3, 308)(4, 24)(5, 309)(6, 460)(7, 458)(8, 132)(9, 436)(10,
150)(11, 439)(12, 19)(13, 310)(14, 305)(15, 22)(16, 23)(18, 456)(20, 455)(25,
302)(26, 484)(27, 482)(28, 300)(29, 503)(30, 501)(31, 46)(32, 48)(33, 502)(34,
45)(35, 504)(36, 47)(37, 196)(38, 195)(39, 202)(40, 91)(41, 94)(42, 98)(43,
201)(44, 93)(49, 457)(50, 459)(51, 274)(52, 273)(53, 244)(54, 245)(55, 249)(56,
271)(57, 243)(58, 272)(59, 88)(60, 83)(61, 85)(62, 89)(63, 71)(64, 68)(65,
72)(66, 74)(67, 469)(69, 472)(70, 475)(73, 476)(75, 254)(76, 255)(77, 226)(78,
351)(79, 354)(80, 343)(81, 346)(82, 223)(84, 470)(86, 471)(87, 473)(90, 474)(92,
394)(95, 392)(96, 388)(97, 390)(99, 126)(100, 125)(101, 129)(102, 130)(103,
433)(104, 434)(105, 430)(106, 428)(107, 415)(109, 183)(110, 417)(112, 379)(113,
380)(114, 186)(115, 123)(116, 432)(117, 427)(118, 124)(119, 429)(120, 431)(121,
127)(122, 128)(131, 404)(133, 146)(134, 410)(135, 464)(137, 463)(139, 450)(140,
446)(141, 449)(142, 444)(143, 440)(144, 148)(145, 442)(147, 407)(149, 409)(151,
397)(152, 160)(153, 399)(154, 162)(155, 192)(156, 419)(157, 422)(158, 188)(159,
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448)(176, 443)(177, 445)(178, 447)(179, 375)(181, 377)(182, 414)(184, 418)(187,
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292)(210, 295)(211, 361)(212, 493)(213, 262)(214, 363)(215, 228)(216, 231)(217,
260)(218, 498)(219, 321)(220, 339)(221, 318)(222, 326)(224, 337)(225, 314)(227,
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488)(261, 328)(263, 490)(264, 288)(265, 286)(266, 334)(267, 275)(268, 278)(269,
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358)(341, 353)(365, 492)(366, 486)(368, 398)(370, 396)(371, 423)(373, 424)(381,
413)(382, 411)(385, 420)(386, 421)(395, 506)(400, 451)(401, 454)(402, 507)(403,
437)(405, 441)(406, 435)(408, 438)(425, 509)(426, 511)(485, 495)(491, 499)
C4[ 512, 569 ]
512
-1 2 3 4 5
-2 1 510 503 505
-3 1 507 509 502
-4 1 508 501 512
-5 506 1 511 504
-6 89 90 84 85
-7 88 83 86 87
-8 359 360 75 76
-9 78 80 366 361
-10 77 364 82 362
-11 363 79 365 81
-12 13 14 15 16
-13 12 46 156 151
-14 12 45 157 153
-15 154 12 48 158
-16 12 155 47 152
-17 308 309 24 21
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-19 22 23 310 305
-20 25 26 304 306
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-22 188 19 162 32
-23 36 192 160 19
-24 189 17 161 30
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-26 33 165 191 20
-27 166 35 18 194
-28 193 18 31 163
-29 90 70 21 307
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-31 68 310 28 83
-32 22 72 304 85
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-35 309 27 73 87
-36 23 89 303 74
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-38 53 75 64 339
-39 55 77 65 340
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-46 13 300 60 64
-47 66 299 16 62
-48 15 301 61 65
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-54 37 169 129 175
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-56 44 176 170 127
-57 178 172 130 43
-58 177 128 173 42
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-60 44 46 458 130
-61 48 40 129 460
-62 47 125 41 460
-63 45 124 37 457
-64 46 123 38 459
-65 48 39 128 459
-66 47 127 457 43
-67 49 117 30 197
-68 115 50 195 31
-69 33 200 50 119
-70 199 50 29 120
-71 34 49 118 196
-72 122 202 50 32
-73 198 35 49 116
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-75 110 38 8 118
-76 37 115 8 107
-77 114 39 119 10
-78 40 117 9 108
-79 11 111 41 120
-80 44 122 112 9
-81 11 121 113 42
-82 116 10 43 109
-83 102 93 7 31
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-89 100 36 6 94
-90 6 105 29 97
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-112 264 80 355 329
-113 265 331 81 356
-114 77 357 260 327
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-124 254 348 52 63
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-225 198 180 433 149
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-245 101 169 448 196
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-251 133 200 411 128
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-255 132 123 415 196
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-257 134 201 126 412
-258 198 133 127 413
-259 187 403 107 151
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-261 407 194 151 108
-262 154 408 192 109
-263 110 189 405 153
-264 154 112 410 193
-265 113 190 404 152
-266 111 409 191 153
-267 167 92 444 117
-268 446 96 174 120
-269 169 116 446 97
-270 168 444 95 119
-271 121 443 93 170
-272 122 445 173 98
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