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