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