Graph forms
for C4 [ 480, 452 ] =
BGCG(UG(ATD[120,55]);K2;{2,5,6,7})
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On this page are computer-accessible forms for the graph C4[ 480, 452 ] =
BGCG(UG(ATD[120,55]);K2;{2,5,6,7}).
(I) Following is a form readable by MAGMA:
g:=Graph<480|{ {237, 251}, {233, 241}, {231, 252}, {238, 242}, {201, 249}, {206,
250}, {199, 251}, {194, 255}, {177, 241}, {183, 246}, {187, 249}, {176, 243},
{191, 252}, {185, 250}, {189, 245}, {167, 255}, {174, 244}, {175, 242}, {144,
243}, {146, 244}, {149, 254}, {149, 248}, {141, 253}, {143, 247}, {132, 248},
{137, 247}, {127, 254}, {113, 242}, {121, 253}, {118, 241}, {117, 252}, {127,
246}, {122, 245}, {111, 251}, {81, 250}, {86, 249}, {77, 255}, {69, 246}, {79,
252}, {65, 249}, {67, 250}, {71, 251}, {54, 243}, {55, 241}, {63, 245}, {57,
242}, {56, 244}, {44, 255}, {29, 253}, {17, 248}, {26, 243}, {29, 247}, {21,
254}, {24, 244}, {23, 248}, {7, 245}, {2, 246}, {7, 253}, {12, 247}, {1, 254},
{113, 369}, {143, 399}, {5, 260}, {100, 357}, {54, 311}, {122, 379}, {20, 278},
{40, 298}, {146, 400}, {148, 406}, {5, 262}, {197, 454}, {177, 434}, {89, 346},
{48, 307}, {6, 261}, {137, 394}, {9, 269}, {222, 474}, {95, 347}, {60, 312},
{71, 322}, {192, 453}, {173, 424}, {111, 362}, {144, 405}, {48, 310}, {194,
452}, {182, 432}, {172, 426}, {146, 404}, {159, 408}, {196, 451}, {182, 433},
{177, 438}, {148, 412}, {10, 259}, {187, 434}, {66, 331}, {18, 283}, {150, 415},
{2, 264}, {85, 351}, {35, 297}, {16, 282}, {120, 370}, {5, 270}, {82, 345}, {27,
272}, {117, 382}, {158, 405}, {77, 321}, {19, 286}, {68, 330}, {217, 471}, {214,
472}, {8, 263}, {114, 381}, {64, 335}, {134, 393}, {152, 407}, {153, 406}, {84,
324}, {219, 459}, {154, 394}, {3, 274}, {190, 431}, {105, 376}, {35, 306}, {13,
284}, {139, 410}, {15, 285}, {210, 448}, {66, 336}, {96, 371}, {213, 454}, {31,
267}, {110, 378}, {37, 305}, {157, 393}, {46, 315}, {191, 426}, {183, 418},
{178, 423}, {86, 323}, {161, 436}, {126, 360}, {193, 471}, {141, 411}, {14,
281}, {115, 356}, {60, 299}, {43, 316}, {121, 366}, {52, 300}, {199, 479}, {184,
416}, {97, 377}, {8, 273}, {172, 437}, {61, 292}, {44, 309}, {22, 271}, {131,
409}, {171, 433}, {169, 435}, {14, 277}, {215, 460}, {178, 425}, {78, 341},
{120, 355}, {107, 375}, {196, 472}, {123, 359}, {41, 308}, {107, 374}, {104,
373}, {50, 303}, {45, 304}, {116, 361}, {157, 384}, {103, 377}, {219, 453},
{141, 403}, {32, 319}, {190, 417}, {99, 380}, {73, 342}, {13, 301}, {232, 456},
{192, 480}, {173, 397}, {88, 376}, {168, 392}, {163, 386}, {190, 415}, {80,
370}, {186, 408}, {11, 296}, {10, 302}, {83, 375}, {61, 281}, {50, 278}, {163,
391}, {33, 260}, {106, 335}, {95, 378}, {142, 427}, {154, 447}, {58, 284}, {88,
382}, {64, 359}, {92, 379}, {25, 305}, {169, 385}, {4, 301}, {93, 372}, {84,
381}, {15, 293}, {106, 320}, {75, 353}, {50, 280}, {124, 342}, {150, 444}, {39,
268}, {185, 402}, {112, 347}, {67, 360}, {40, 259}, {119, 348}, {144, 443},
{159, 435}, {189, 401}, {54, 283}, {173, 384}, {171, 390}, {62, 275}, {65, 367},
{185, 407}, {176, 414}, {118, 344}, {29, 306}, {47, 256}, {143, 416}, {155,
436}, {161, 401}, {236, 476}, {83, 354}, {229, 468}, {10, 312}, {233, 475},
{231, 469}, {225, 467}, {175, 413}, {80, 354}, {20, 294}, {158, 429}, {166,
402}, {183, 387}, {2, 311}, {70, 368}, {179, 389}, {103, 337}, {90, 364}, {86,
352}, {16, 295}, {240, 455}, {61, 266}, {89, 353}, {188, 388}, {111, 343}, {104,
336}, {100, 348}, {94, 358}, {117, 333}, {161, 409}, {151, 430}, {239, 470},
{20, 302}, {150, 428}, {166, 412}, {7, 316}, {74, 369}, {42, 279}, {228, 473},
{167, 410}, {43, 277}, {176, 398}, {112, 334}, {130, 444}, {4, 315}, {109, 338},
{96, 351}, {95, 352}, {84, 363}, {121, 326}, {164, 411}, {124, 316}, {193, 385},
{12, 333}, {238, 431}, {38, 356}, {122, 312}, {32, 355}, {98, 289}, {77, 270},
{1, 325}, {99, 295}, {127, 315}, {22, 339}, {237, 424}, {199, 386}, {48, 373},
{156, 473}, {75, 269}, {226, 420}, {205, 395}, {135, 449}, {51, 372}, {114,
309}, {89, 286}, {118, 318}, {235, 419}, {143, 455}, {11, 322}, {29, 340}, {53,
383}, {230, 428}, {97, 299}, {74, 256}, {67, 265}, {142, 452}, {37, 366}, {239,
420}, {224, 427}, {56, 371}, {137, 450}, {153, 466}, {81, 285}, {235, 423},
{220, 400}, {108, 288}, {144, 477}, {146, 479}, {147, 478}, {151, 474}, {156,
465}, {11, 325}, {221, 403}, {202, 388}, {19, 349}, {120, 310}, {9, 326}, {114,
317}, {129, 462}, {86, 262}, {230, 438}, {221, 397}, {154, 458}, {4, 341}, {210,
387}, {78, 287}, {69, 276}, {91, 265}, {236, 446}, {124, 302}, {13, 350}, {68,
279}, {18, 321}, {136, 475}, {91, 271}, {82, 263}, {107, 318}, {136, 477}, {30,
328}, {200, 414}, {105, 319}, {83, 261}, {17, 326}, {234, 445}, {115, 292},
{116, 291}, {148, 451}, {158, 457}, {64, 280}, {232, 432}, {37, 383}, {213,
399}, {81, 267}, {87, 268}, {225, 442}, {102, 317}, {133, 478}, {135, 476}, {18,
334}, {228, 440}, {42, 374}, {147, 463}, {148, 456}, {141, 464}, {218, 391},
{209, 396}, {192, 413}, {8, 342}, {214, 392}, {68, 282}, {25, 327}, {87, 264},
{230, 441}, {93, 258}, {52, 340}, {160, 448}, {6, 359}, {66, 291}, {75, 297},
{233, 395}, {81, 307}, {12, 367}, {239, 396}, {177, 466}, {98, 257}, {19, 368},
{170, 457}, {101, 257}, {218, 446}, {14, 363}, {181, 464}, {79, 298}, {8, 366},
{60, 346}, {40, 320}, {223, 439}, {72, 288}, {59, 339}, {107, 258}, {12, 358},
{96, 266}, {90, 304}, {123, 273}, {167, 461}, {3, 360}, {222, 437}, {198, 429},
{34, 329}, {167, 460}, {1, 365}, {226, 398}, {194, 430}, {88, 308}, {73, 293},
{162, 462}, {42, 327}, {196, 425}, {175, 450}, {36, 330}, {211, 445}, {87, 313},
{84, 314}, {55, 345}, {164, 458}, {165, 459}, {25, 361}, {214, 422}, {92, 300},
{125, 269}, {165, 469}, {20, 357}, {229, 404}, {97, 272}, {27, 362}, {145, 480},
{9, 379}, {189, 463}, {179, 449}, {102, 276}, {31, 365}, {36, 343}, {91, 296},
{82, 289}, {63, 332}, {78, 314}, {203, 447}, {205, 440}, {212, 417}, {80, 294},
{51, 324}, {62, 329}, {60, 331}, {125, 261}, {207, 439}, {126, 262}, {39, 350},
{104, 273}, {58, 323}, {53, 332}, {49, 328}, {85, 303}, {195, 441}, {101, 287},
{88, 290}, {35, 344}, {33, 349}, {223, 419}, {122, 263}, {216, 421}, {2, 380},
{220, 418}, {196, 442}, {109, 275}, {108, 274}, {92, 290}, {71, 313}, {18, 364},
{125, 259}, {45, 338}, {174, 465}, {46, 337}, {169, 470}, {6, 390}, {21, 404},
{240, 369}, {51, 434}, {52, 438}, {180, 311}, {1, 389}, {14, 394}, {49, 436},
{191, 314}, {130, 260}, {236, 362}, {23, 400}, {220, 347}, {197, 322}, {172,
299}, {28, 411}, {23, 415}, {235, 355}, {215, 351}, {209, 345}, {77, 453}, {76,
452}, {57, 433}, {38, 430}, {128, 264}, {21, 412}, {94, 471}, {74, 451}, {28,
405}, {26, 403}, {160, 297}, {19, 409}, {206, 324}, {165, 303}, {215, 348}, {57,
437}, {62, 434}, {223, 338}, {24, 406}, {231, 361}, {72, 454}, {129, 270}, {204,
323}, {35, 435}, {237, 381}, {202, 346}, {198, 342}, {58, 426}, {134, 278}, {11,
410}, {206, 351}, {73, 472}, {62, 431}, {136, 281}, {53, 423}, {58, 424}, {128,
274}, {161, 307}, {164, 310}, {39, 436}, {83, 448}, {95, 459}, {240, 356}, {234,
382}, {193, 341}, {159, 267}, {26, 399}, {69, 464}, {138, 284}, {227, 373},
{225, 375}, {224, 374}, {181, 291}, {174, 312}, {139, 285}, {40, 447}, {72,
479}, {17, 393}, {180, 300}, {93, 453}, {163, 315}, {135, 286}, {140, 277}, {41,
435}, {153, 259}, {166, 316}, {170, 304}, {76, 471}, {233, 370}, {227, 376},
{151, 268}, {134, 282}, {147, 271}, {168, 308}, {52, 425}, {168, 309}, {63,
417}, {186, 292}, {133, 283}, {142, 272}, {160, 319}, {230, 377}, {32, 384},
{219, 379}, {204, 364}, {136, 296}, {135, 294}, {225, 320}, {195, 354}, {140,
301}, {4, 422}, {182, 276}, {119, 469}, {6, 421}, {237, 334}, {217, 378}, {43,
392}, {145, 306}, {24, 444}, {188, 280}, {131, 295}, {149, 305}, {160, 260},
{164, 256}, {30, 443}, {232, 333}, {223, 378}, {188, 281}, {99, 454}, {56, 413},
{213, 371}, {208, 375}, {212, 380}, {55, 414}, {200, 353}, {178, 283}, {125,
468}, {140, 293}, {43, 385}, {203, 353}, {155, 305}, {34, 393}, {133, 302},
{127, 467}, {216, 372}, {113, 476}, {208, 381}, {205, 352}, {189, 275}, {215,
377}, {37, 394}, {224, 335}, {184, 279}, {181, 282}, {99, 460}, {79, 480}, {116,
475}, {130, 301}, {157, 306}, {38, 406}, {194, 370}, {44, 412}, {39, 407}, {120,
456}, {10, 443}, {187, 266}, {155, 298}, {31, 429}, {226, 336}, {204, 382},
{174, 284}, {41, 410}, {214, 357}, {209, 354}, {203, 376}, {49, 386}, {33, 405},
{239, 347}, {232, 348}, {229, 337}, {30, 427}, {56, 397}, {46, 411}, {130, 311},
{163, 278}, {47, 409}, {108, 474}, {51, 389}, {123, 461}, {48, 391}, {112, 455},
{32, 408}, {216, 352}, {97, 472}, {238, 343}, {210, 363}, {200, 369}, {111,
470}, {22, 428}, {220, 358}, {162, 280}, {41, 402}, {63, 388}, {59, 384}, {53,
398}, {181, 265}, {59, 390}, {105, 468}, {170, 279}, {30, 416}, {109, 467}, {3,
444}, {231, 344}, {102, 473}, {46, 401}, {170, 277}, {123, 443}, {131, 321},
{202, 264}, {159, 349}, {103, 420}, {211, 272}, {9, 461}, {207, 267}, {176,
372}, {104, 428}, {129, 325}, {156, 344}, {100, 417}, {240, 309}, {201, 268},
{197, 256}, {110, 427}, {131, 326}, {24, 478}, {96, 422}, {31, 473}, {27, 477},
{25, 479}, {118, 432}, {149, 339}, {68, 387}, {138, 333}, {153, 350}, {138,
322}, {236, 292}, {235, 291}, {207, 263}, {197, 269}, {106, 419}, {185, 368},
{116, 445}, {132, 334}, {27, 464}, {206, 261}, {73, 386}, {16, 476}, {209, 285},
{179, 383}, {114, 446}, {137, 325}, {155, 343}, {3, 462}, {222, 275}, {203,
262}, {195, 270}, {93, 400}, {80, 413}, {15, 450}, {16, 478}, {79, 385}, {13,
477}, {184, 360}, {105, 441}, {102, 438}, {65, 401}, {17, 449}, {154, 330}, {82,
387}, {216, 265}, {190, 367}, {150, 327}, {89, 395}, {117, 423}, {7, 468}, {238,
317}, {15, 475}, {234, 318}, {213, 257}, {110, 442}, {119, 419}, {22, 451}, {66,
407}, {128, 341}, {139, 350}, {156, 329}, {5, 467}, {217, 271}, {72, 414}, {69,
402}, {201, 286}, {115, 420}, {162, 373}, {28, 452}, {218, 258}, {126, 422},
{133, 349}, {152, 320}, {171, 371}, {65, 408}, {211, 266}, {94, 391}, {85, 396},
{124, 421}, {145, 328}, {21, 463}, {142, 340}, {28, 455}, {110, 437}, {108,
439}, {115, 424}, {187, 359}, {234, 310}, {226, 319}, {90, 388}, {227, 317},
{168, 374}, {23, 456}, {221, 258}, {192, 287}, {112, 431}, {103, 440}, {98,
445}, {64, 415}, {78, 430}, {222, 318}, {45, 460}, {47, 462}, {132, 357}, {138,
363}, {34, 448}, {227, 257}, {85, 439}, {208, 307}, {47, 459}, {70, 418}, {54,
466}, {49, 469}, {139, 367}, {44, 457}, {91, 446}, {90, 447}, {70, 416}, {198,
288}, {173, 331}, {76, 426}, {42, 461}, {193, 294}, {179, 340}, {106, 397}, {74,
429}, {152, 383}, {57, 465}, {202, 290}, {184, 336}, {171, 323}, {195, 298},
{98, 392}, {134, 364}, {140, 358}, {162, 328}, {34, 457}, {101, 398}, {100,
399}, {38, 458}, {128, 365}, {200, 293}, {180, 345}, {71, 425}, {199, 297},
{169, 327}, {87, 440}, {33, 465}, {157, 365}, {75, 442}, {229, 276}, {208, 289},
{101, 404}, {61, 463}, {224, 274}, {67, 433}, {219, 296}, {132, 368}, {211,
295}, {165, 337}, {166, 338}, {76, 441}, {228, 273}, {217, 300}, {212, 289},
{207, 314}, {204, 313}, {188, 329}, {186, 335}, {175, 346}, {36, 466}, {186,
332}, {178, 324}, {70, 432}, {55, 449}, {50, 458}, {218, 290}, {180, 332}, {59,
450}, {151, 366}, {26, 480}, {147, 361}, {45, 470}, {228, 287}, {94, 421}, {126,
389}, {145, 362}, {119, 395}, {183, 331}, {182, 330}, {152, 356}, {113, 396},
{221, 288}, {210, 303}, {205, 304}, {201, 308}, {129, 380}, {158, 355}, {36,
474}, {191, 321}, {109, 403}, {92, 418}, {121, 390}, {212, 299}, {198, 313},
{172, 339} }>;
(II) A more general form is to represent the graph as the orbit of {237, 251}
under the group generated by the following permutations:
a: (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10,
130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19,
139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28,
148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37,
157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46,
166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55,
175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64,
184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73,
193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82,
202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91,
211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99,
219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107,
227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115,
235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(241, 242)(243, 244)(245,
246)(247, 248)(249, 250)(251, 252)(253, 254)(255, 256)(257, 258)(259, 260)(261,
262)(263, 264)(265, 266)(267, 268)(269, 270)(271, 272)(273, 274)(275, 276)(277,
278)(279, 280)(281, 282)(283, 284)(285, 286)(287, 288)(289, 290)(291, 292)(293,
294)(295, 296)(297, 298)(299, 300)(301, 302)(303, 304)(305, 306)(307, 308)(309,
310)(311, 312)(313, 314)(315, 316)(317, 318)(319, 320)(321, 322)(323, 324)(325,
326)(327, 328)(329, 330)(331, 332)(333, 334)(335, 336)(337, 338)(339, 340)(341,
342)(343, 344)(345, 346)(347, 348)(349, 350)(351, 352)(353, 354)(355, 356)(357,
358)(359, 360)(361, 362)(363, 364)(365, 366)(367, 368)(369, 370)(371, 372)(373,
374)(375, 376)(377, 378)(379, 380)(381, 382)(383, 384)(385, 386)(387, 388)(389,
390)(391, 392)(393, 394)(395, 396)(397, 398)(399, 400)(401, 402)(403, 404)(405,
406)(407, 408)(409, 410)(411, 412)(413, 414)(415, 416)(417, 418)(419, 420)(421,
422)(423, 424)(425, 426)(427, 428)(429, 430)(431, 432)(433, 434)(435, 436)(437,
438)(439, 440)(441, 442)(443, 444)(445, 446)(447, 448)(449, 450)(451, 452)(453,
454)(455, 456)(457, 458)(459, 460)(461, 462)(463, 464)(465, 466)(467, 468)(469,
470)(471, 472)(473, 474)(475, 476)(477, 478)(479, 480) (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, 17)(3, 37)(4, 59)(5, 29)(6, 13)(7, 33)(8, 24)(9, 54)(11, 51)(12, 86)(14,
67)(15, 96)(16, 82)(18, 92)(19, 63)(20, 60)(21, 31)(22, 78)(23, 87)(25, 108)(26,
75)(27, 83)(28, 105)(30, 40)(32, 46)(34, 69)(35, 109)(36, 42)(38, 104)(39,
64)(41, 62)(43, 57)(44, 102)(45, 118)(47, 53)(48, 115)(49, 106)(50, 66)(52,
77)(55, 99)(56, 73)(58, 94)(61, 81)(70, 90)(71, 93)(74, 101)(79, 110)(80,
97)(84, 91)(85, 116)(88, 112)(89, 100)(95, 117)(98, 113)(103, 120)(107,
111)(121, 130)(122, 133)(123, 153)(124, 174)(125, 144)(126, 137)(127, 157)(128,
149)(129, 179)(131, 180)(132, 202)(134, 183)(135, 212)(136, 206)(138, 216)(139,
187)(140, 171)(141, 160)(142, 195)(143, 203)(145, 225)(146, 198)(147, 207)(148,
228)(150, 151)(152, 162)(154, 184)(155, 224)(156, 166)(158, 229)(159, 189)(161,
186)(163, 173)(164, 226)(165, 235)(167, 177)(168, 238)(169, 222)(170, 182)(172,
193)(175, 214)(176, 197)(178, 219)(181, 210)(185, 188)(190, 201)(191, 217)(192,
196)(194, 230)(199, 221)(200, 213)(204, 220)(205, 232)(208, 236)(209, 211)(215,
233)(218, 237)(223, 231)(227, 240)(234, 239)(241, 460)(242, 392)(243, 269)(244,
342)(245, 349)(246, 393)(247, 262)(248, 264)(249, 367)(250, 281)(251, 258)(252,
378)(253, 260)(254, 365)(255, 438)(256, 398)(257, 369)(259, 443)(261, 477)(263,
478)(265, 363)(266, 285)(267, 463)(268, 415)(270, 340)(271, 314)(272, 354)(273,
406)(274, 305)(275, 435)(276, 457)(277, 433)(278, 331)(279, 330)(280, 407)(282,
387)(283, 379)(284, 421)(286, 417)(287, 451)(288, 479)(289, 476)(290, 334)(291,
303)(292, 307)(293, 371)(294, 299)(295, 345)(296, 324)(297, 403)(298, 427)(300,
321)(301, 390)(302, 312)(304, 432)(306, 467)(308, 431)(309, 317)(310, 420)(311,
326)(313, 400)(315, 384)(316, 465)(318, 470)(319, 411)(320, 328)(322, 372)(323,
358)(325, 389)(327, 474)(329, 402)(332, 409)(333, 352)(335, 436)(336, 458)(337,
355)(338, 344)(339, 341)(343, 374)(346, 357)(347, 382)(348, 395)(350, 359)(351,
475)(353, 399)(356, 373)(360, 394)(361, 439)(362, 375)(364, 418)(366, 444)(368,
388)(370, 377)(376, 455)(380, 449)(381, 446)(383, 462)(385, 437)(386, 397)(391,
424)(396, 445)(401, 408)(404, 429)(405, 468)(410, 434)(412, 473)(413, 472)(414,
454)(416, 447)(419, 469)(422, 450)(423, 459)(425, 453)(426, 471)(428, 430)(440,
456)(441, 452)(442, 480)(448, 464)(461, 466)
c: (1, 6, 82, 89, 71, 76, 101, 106, 36, 33)(2, 86, 84, 80, 72, 110, 102, 32, 37,
10)(3, 67, 81, 15, 73, 97, 103, 115, 38, 24)(4, 96, 85, 113, 74, 22, 104, 66,
39, 13)(5, 51, 83, 55, 75, 52, 105, 53, 40, 54)(7, 63, 90, 18, 77, 93, 107, 118,
35, 29)(8, 60, 87, 58, 78, 56, 108, 57, 31, 59)(9, 92, 88, 117, 79, 26, 109, 62,
34, 17)(11, 94, 98, 119, 111, 28, 21, 64, 68, 19)(12, 43, 100, 45, 112, 44, 23,
42, 70, 41)(14, 20, 99, 95, 114, 120, 25, 30, 69, 65)(16, 47, 91, 48, 116, 49,
27, 46, 61, 50)(121, 122, 202, 204, 191, 192, 221, 222, 156, 157)(123, 183, 201,
138, 193, 213, 223, 238, 158, 149)(124, 212, 205, 237, 194, 146, 224, 182, 159,
137)(125, 180, 203, 178, 195, 176, 225, 177, 160, 179)(126, 206, 209, 200, 196,
230, 226, 152, 153, 130)(127, 187, 210, 135, 197, 217, 227, 235, 155, 144)(128,
171, 207, 175, 198, 172, 228, 173, 151, 174)(129, 216, 208, 233, 199, 142, 229,
186, 154, 133)(131, 219, 218, 234, 231, 145, 141, 189, 188, 134)(132, 167, 220,
168, 232, 169, 143, 166, 190, 170)(136, 163, 211, 165, 236, 164, 147, 162, 181,
161)(139, 140, 214, 215, 239, 240, 148, 150, 184, 185)(241, 297, 340, 468, 332,
447, 283, 270, 372, 375)(242, 429, 339, 273, 331, 268, 284, 341, 371, 439)(243,
467, 434, 448, 449, 269, 300, 376, 423, 298)(244, 274, 433, 267, 450, 342, 299,
440, 424, 430)(245, 388, 364, 321, 453, 258, 318, 344, 306, 253)(246, 249, 363,
294, 454, 378, 317, 355, 305, 443)(247, 316, 417, 304, 334, 255, 400, 374, 432,
435)(248, 461, 418, 308, 333, 385, 399, 338, 431, 457)(250, 285, 293, 472, 377,
420, 356, 406, 444, 360)(251, 452, 404, 335, 330, 349, 325, 421, 289, 395)(252,
480, 403, 275, 329, 393, 326, 379, 290, 382)(254, 359, 387, 286, 322, 471, 257,
419, 343, 405)(256, 271, 373, 291, 436, 477, 315, 266, 303, 476)(259, 311, 262,
324, 354, 414, 442, 438, 319, 383)(260, 389, 261, 345, 353, 425, 441, 398, 320,
466)(263, 346, 313, 426, 287, 397, 474, 465, 365, 390)(264, 323, 314, 413, 288,
437, 473, 384, 366, 312)(265, 307, 475, 386, 272, 337, 292, 458, 478, 462)(276,
408, 394, 302, 380, 352, 381, 370, 479, 427)(277, 357, 460, 347, 309, 456, 327,
416, 402, 367)(278, 295, 459, 446, 310, 361, 328, 464, 401, 281)(279, 368, 410,
358, 392, 348, 470, 455, 412, 415)(280, 282, 409, 296, 391, 445, 469, 362, 411,
463)(301, 422, 351, 396, 369, 451, 428, 336, 407, 350)
d: (2, 37)(3, 17)(4, 29)(5, 59)(6, 33)(7, 13)(8, 54)(9, 24)(11, 21)(12, 46)(14,
69)(15, 109)(16, 42)(18, 104)(19, 64)(20, 30)(22, 77)(23, 47)(25, 99)(26,
73)(27, 43)(28, 94)(31, 51)(32, 86)(34, 67)(35, 96)(36, 82)(38, 92)(39, 63)(40,
60)(41, 61)(44, 91)(45, 116)(48, 112)(49, 100)(50, 70)(52, 78)(53, 87)(55,
108)(56, 75)(57, 83)(58, 105)(62, 81)(66, 90)(71, 101)(74, 93)(79, 97)(80,
110)(84, 102)(85, 118)(88, 115)(89, 106)(95, 120)(98, 111)(103, 117)(107,
113)(121, 130)(122, 153)(123, 133)(124, 144)(125, 174)(126, 157)(127, 137)(128,
179)(129, 149)(131, 150)(132, 162)(134, 184)(135, 224)(136, 166)(138, 229)(139,
189)(140, 141)(142, 193)(143, 163)(145, 214)(146, 197)(147, 167)(148, 219)(151,
180)(152, 202)(154, 183)(155, 212)(156, 206)(158, 216)(159, 187)(160, 171)(161,
190)(164, 220)(165, 232)(168, 236)(169, 211)(170, 181)(172, 195)(173, 203)(175,
225)(176, 198)(177, 207)(178, 228)(182, 210)(185, 188)(186, 201)(191, 230)(192,
196)(194, 217)(199, 213)(200, 221)(204, 226)(205, 235)(208, 238)(209, 222)(215,
231)(218, 240)(223, 233)(227, 237)(234, 239)(241, 439)(242, 375)(243, 342)(244,
269)(245, 350)(246, 394)(247, 315)(248, 462)(249, 408)(250, 329)(251, 257)(252,
377)(253, 301)(254, 325)(255, 271)(256, 400)(258, 369)(259, 312)(260, 390)(261,
465)(262, 384)(263, 466)(264, 383)(265, 457)(266, 435)(267, 434)(268, 332)(270,
339)(272, 385)(273, 283)(274, 449)(275, 285)(276, 363)(277, 464)(278, 416)(279,
282)(280, 368)(281, 402)(284, 468)(286, 335)(287, 425)(288, 414)(289, 343)(290,
356)(291, 304)(292, 308)(293, 403)(294, 427)(295, 327)(296, 412)(297, 371)(298,
299)(300, 430)(302, 443)(303, 432)(305, 380)(306, 422)(307, 431)(309, 446)(310,
347)(311, 366)(313, 398)(314, 438)(316, 477)(317, 381)(318, 396)(319, 323)(320,
346)(321, 428)(322, 404)(324, 473)(326, 444)(328, 357)(330, 387)(331, 447)(333,
337)(334, 373)(336, 364)(338, 475)(340, 341)(344, 351)(345, 474)(348, 469)(349,
359)(352, 355)(353, 397)(354, 437)(358, 411)(360, 393)(361, 460)(362, 392)(365,
389)(367, 401)(370, 378)(372, 429)(374, 476)(376, 424)(379, 406)(382, 420)(386,
399)(388, 407)(391, 455)(395, 419)(405, 421)(409, 415)(410, 463)(413, 442)(417,
436)(418, 458)(423, 440)(426, 441)(433, 448)(445, 470)(450, 467)(451, 453)(452,
471)(454, 479)(456, 459)(461, 478)(472, 480)
e: (2, 29)(3, 59)(4, 17)(5, 37)(6, 24)(7, 54)(8, 33)(9, 13)(12, 99)(14, 77)(15,
47)(16, 94)(18, 43)(19, 73)(21, 51)(22, 67)(23, 96)(25, 86)(26, 63)(27, 92)(28,
82)(30, 60)(32, 108)(34, 78)(35, 87)(36, 105)(38, 83)(39, 75)(41, 71)(42,
58)(44, 84)(45, 117)(46, 55)(48, 113)(49, 89)(50, 80)(52, 69)(53, 109)(56,
64)(57, 104)(61, 93)(62, 101)(65, 72)(66, 110)(68, 76)(70, 97)(74, 81)(79,
90)(85, 120)(88, 111)(95, 116)(98, 112)(103, 118)(107, 115)(121, 130)(122,
144)(123, 174)(124, 133)(125, 153)(126, 149)(127, 179)(128, 157)(129, 137)(131,
140)(132, 214)(134, 193)(135, 163)(136, 219)(138, 167)(139, 197)(141, 180)(142,
183)(143, 212)(145, 202)(146, 187)(147, 216)(148, 206)(150, 171)(151, 160)(152,
225)(154, 195)(155, 203)(156, 228)(158, 207)(159, 198)(161, 200)(162, 175)(164,
209)(165, 233)(166, 178)(168, 237)(169, 204)(170, 191)(172, 184)(173, 224)(176,
189)(177, 229)(181, 217)(182, 230)(185, 196)(186, 221)(188, 192)(190, 213)(194,
210)(199, 201)(205, 231)(208, 240)(211, 220)(215, 232)(218, 236)(222, 226)(223,
235)(227, 238)(234, 239)(241, 337)(242, 373)(243, 245)(244, 359)(246, 340)(247,
380)(248, 422)(249, 479)(250, 451)(251, 308)(252, 304)(253, 311)(254, 389)(255,
363)(256, 285)(257, 431)(258, 292)(260, 366)(261, 406)(262, 305)(263, 405)(264,
306)(265, 271)(266, 400)(267, 429)(268, 297)(269, 350)(270, 394)(272, 418)(273,
465)(274, 384)(275, 398)(276, 438)(277, 321)(278, 294)(279, 426)(280, 413)(281,
453)(282, 471)(283, 316)(284, 461)(286, 386)(287, 329)(288, 408)(289, 455)(290,
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420)(319, 474)(322, 410)(323, 327)(324, 412)(328, 346)(330, 441)(331, 427)(332,
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424)(377, 432)(379, 477)(382, 470)(383, 467)(387, 452)(388, 480)(390, 444)(391,
476)(395, 469)(399, 417)(401, 414)(402, 425)(404, 434)(407, 442)(421, 478)(428,
433)(430, 448)(450, 462)(459, 475)(466, 468)
f: (1, 2, 5, 4)(6, 8, 9, 10)(11, 54, 86, 78)(12, 53, 88, 79)(13, 51, 87, 77)(14,
52, 90, 76)(15, 55, 89, 80)(16, 57, 85, 74)(17, 60, 83, 73)(18, 58, 84, 71)(19,
56, 81, 72)(20, 59, 82, 75)(21, 69, 109, 46)(22, 68, 110, 50)(23, 66, 107,
49)(24, 67, 108, 47)(25, 70, 106, 48)(26, 65, 101, 41)(27, 62, 103, 44)(28, 61,
102, 45)(29, 63, 105, 43)(30, 64, 104, 42)(31, 99, 33, 96)(32, 98, 35, 100)(34,
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120)(121, 122, 125, 124)(126, 128, 129, 130)(131, 174, 206, 198)(132, 173, 208,
199)(133, 171, 207, 197)(134, 172, 210, 196)(135, 175, 209, 200)(136, 177, 205,
194)(137, 180, 203, 193)(138, 178, 204, 191)(139, 176, 201, 192)(140, 179, 202,
195)(141, 189, 229, 166)(142, 188, 230, 170)(143, 186, 227, 169)(144, 187, 228,
167)(145, 190, 226, 168)(146, 185, 221, 161)(147, 182, 223, 164)(148, 181, 222,
165)(149, 183, 225, 163)(150, 184, 224, 162)(151, 219, 153, 216)(152, 218, 155,
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385)(248, 331, 375, 386)(251, 334, 424, 381)(252, 333, 423, 382)(255, 477, 434,
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451)(283, 323, 314, 322)(284, 324, 313, 321)(285, 414, 286, 413)(289, 297, 357,
384)(290, 298, 358, 383)(291, 318, 469, 456)(292, 317, 470, 455)(293, 449, 346,
354)(294, 450, 345, 353)(295, 465, 351, 429)(296, 466, 352, 430)(299, 448, 472,
393)(300, 447, 471, 394)(305, 418, 320, 391)(306, 417, 319, 392)(307, 479, 368,
397)(308, 480, 367, 398)(309, 362, 431, 420)(310, 361, 432, 419)(327, 416, 335,
373)(328, 415, 336, 374)(343, 347, 356, 446)(344, 348, 355, 445)(363, 425, 364,
426)(401, 404, 402, 403)
C4[ 480, 452 ]
480
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0