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