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[Families]
On this page are computer-accessible forms for the graph C4[ 480, 541 ] =
SS[480,23].
(I) Following is a form readable by MAGMA:
g:=Graph<480|{ {1, 3}, {345, 347}, {57, 59}, {56, 58}, {1, 2}, {344, 347}, {220,
223}, {221, 222}, {1, 5}, {57, 61}, {1, 4}, {57, 60}, {344, 350}, {345, 351},
{56, 63}, {57, 62}, {341, 349}, {464, 472}, {343, 351}, {342, 350}, {340, 349},
{465, 474}, {466, 473}, {342, 346}, {343, 346}, {338, 348}, {128, 143}, {468,
475}, {467, 476}, {339, 348}, {131, 147}, {420, 436}, {417, 433}, {206, 222},
{132, 149}, {133, 148}, {206, 223}, {416, 434}, {429, 447}, {129, 146}, {460,
479}, {456, 475}, {452, 471}, {424, 443}, {130, 145}, {204, 223}, {205, 222},
{421, 433}, {458, 478}, {457, 477}, {451, 471}, {449, 469}, {424, 444}, {40,
61}, {419, 438}, {418, 439}, {41, 63}, {421, 435}, {420, 434}, {419, 437}, {128,
151}, {450, 469}, {426, 445}, {425, 446}, {131, 155}, {463, 471}, {462, 470},
{461, 469}, {448, 472}, {37, 60}, {133, 156}, {132, 157}, {39, 62}, {418, 440},
{129, 154}, {455, 476}, {130, 153}, {422, 442}, {38, 59}, {32, 62}, {321, 351},
{320, 350}, {36, 58}, {33, 63}, {422, 441}, {454, 473}, {453, 474}, {202, 234},
{404, 436}, {29, 60}, {327, 358}, {326, 359}, {31, 61}, {325, 359}, {324, 358},
{199, 229}, {201, 235}, {214, 244}, {215, 245}, {216, 250}, {217, 251}, {199,
228}, {411, 440}, {201, 237}, {412, 440}, {406, 434}, {402, 438}, {333, 361},
{332, 360}, {207, 235}, {30, 59}, {204, 233}, {205, 232}, {207, 234}, {28, 58},
{407, 433}, {405, 435}, {403, 437}, {198, 224}, {202, 236}, {218, 252}, {219,
253}, {198, 225}, {337, 374}, {336, 375}, {321, 358}, {320, 359}, {203, 227},
{414, 438}, {203, 226}, {218, 240}, {415, 437}, {413, 439}, {409, 435}, {329,
355}, {219, 241}, {220, 246}, {221, 247}, {216, 243}, {459, 480}, {328, 355},
{323, 360}, {322, 361}, {217, 242}, {334, 354}, {408, 436}, {335, 354}, {410,
439}, {200, 230}, {331, 357}, {200, 231}, {330, 357}, {214, 249}, {215, 248},
{397, 445}, {392, 441}, {214, 228}, {398, 444}, {396, 446}, {339, 353}, {338,
352}, {215, 229}, {216, 234}, {217, 235}, {220, 239}, {393, 442}, {221, 238},
{193, 245}, {399, 443}, {336, 356}, {333, 377}, {332, 376}, {194, 246}, {209,
229}, {196, 241}, {341, 352}, {340, 353}, {337, 356}, {329, 380}, {328, 381},
{197, 240}, {210, 231}, {212, 225}, {213, 224}, {193, 247}, {194, 244}, {210,
228}, {196, 243}, {197, 242}, {209, 230}, {212, 227}, {213, 226}, {218, 237},
{219, 236}, {391, 447}, {326, 383}, {327, 382}, {195, 249}, {385, 443}, {211,
233}, {218, 224}, {219, 225}, {195, 248}, {211, 232}, {216, 227}, {217, 226},
{220, 231}, {221, 230}, {192, 252}, {384, 444}, {208, 236}, {192, 253}, {335,
370}, {334, 371}, {208, 237}, {214, 233}, {331, 372}, {330, 373}, {325, 378},
{324, 379}, {215, 232}, {302, 367}, {307, 370}, {306, 371}, {303, 366}, {188,
255}, {301, 366}, {300, 367}, {189, 254}, {191, 251}, {389, 449}, {386, 454},
{191, 250}, {309, 368}, {308, 369}, {32, 102}, {390, 448}, {388, 450}, {387,
453}, {33, 103}, {128, 199}, {305, 374}, {304, 375}, {297, 366}, {296, 367},
{131, 203}, {395, 451}, {18, 91}, {133, 204}, {132, 205}, {26, 80}, {311, 381},
{310, 380}, {27, 81}, {295, 365}, {17, 90}, {309, 382}, {308, 383}, {130, 201},
{129, 202}, {43, 96}, {42, 97}, {35, 104}, {34, 105}, {164, 239}, {165, 238},
{295, 364}, {18, 94}, {313, 373}, {312, 372}, {294, 362}, {294, 363}, {17, 95},
{394, 452}, {18, 92}, {18, 93}, {163, 243}, {299, 379}, {298, 378}, {190, 238},
{163, 242}, {190, 239}, {312, 362}, {313, 362}, {170, 254}, {437, 480}, {24,
78}, {401, 455}, {25, 79}, {160, 246}, {169, 255}, {160, 247}, {439, 480}, {319,
360}, {318, 361}, {303, 376}, {302, 377}, {314, 354}, {400, 456}, {315, 355},
{21, 76}, {317, 356}, {316, 357}, {297, 368}, {296, 369}, {162, 251}, {23, 77},
{310, 364}, {305, 363}, {161, 250}, {311, 364}, {304, 363}, {299, 368}, {298,
369}, {161, 253}, {22, 75}, {164, 249}, {165, 248}, {20, 74}, {319, 353}, {318,
352}, {307, 365}, {162, 252}, {306, 365}, {15, 111}, {431, 463}, {314, 346},
{19, 115}, {19, 114}, {443, 474}, {442, 475}, {431, 462}, {423, 454}, {316,
349}, {49, 80}, {45, 76}, {22, 119}, {280, 377}, {281, 376}, {20, 118}, {423,
453}, {48, 82}, {47, 77}, {25, 123}, {24, 122}, {34, 65}, {430, 461}, {427,
456}, {50, 81}, {35, 64}, {278, 373}, {279, 372}, {13, 105}, {50, 86}, {49, 85},
{13, 104}, {444, 473}, {441, 476}, {46, 75}, {15, 106}, {19, 117}, {317, 347},
{54, 80}, {50, 84}, {49, 87}, {44, 74}, {19, 116}, {447, 472}, {440, 479}, {315,
348}, {54, 81}, {27, 124}, {26, 125}, {14, 102}, {446, 470}, {150, 254}, {48,
88}, {45, 68}, {438, 479}, {426, 451}, {150, 255}, {276, 381}, {277, 380}, {13,
103}, {436, 478}, {51, 89}, {47, 69}, {14, 100}, {159, 245}, {14, 101}, {445,
470}, {51, 88}, {43, 64}, {42, 65}, {159, 244}, {272, 379}, {273, 378}, {274,
382}, {433, 477}, {429, 449}, {428, 448}, {427, 455}, {275, 383}, {282, 374},
{283, 375}, {14, 99}, {435, 478}, {425, 452}, {46, 67}, {21, 120}, {23, 121},
{428, 450}, {44, 66}, {158, 240}, {13, 98}, {434, 477}, {158, 241}, {284, 371},
{285, 370}, {11, 123}, {53, 69}, {17, 97}, {17, 96}, {53, 68}, {52, 71}, {53,
70}, {12, 120}, {51, 71}, {10, 127}, {40, 93}, {12, 121}, {11, 125}, {53, 67},
{52, 66}, {48, 70}, {47, 89}, {41, 95}, {12, 122}, {9, 126}, {11, 124}, {49,
73}, {56, 64}, {29, 100}, {432, 457}, {56, 65}, {55, 78}, {54, 79}, {39, 94},
{37, 92}, {31, 101}, {432, 458}, {430, 468}, {55, 77}, {50, 72}, {46, 84}, {45,
87}, {12, 119}, {432, 459}, {55, 76}, {46, 85}, {45, 86}, {16, 107}, {16, 108},
{432, 460}, {55, 75}, {54, 74}, {52, 72}, {51, 79}, {47, 83}, {11, 118}, {431,
466}, {430, 467}, {52, 73}, {38, 91}, {30, 99}, {16, 109}, {15, 113}, {431,
465}, {430, 464}, {48, 78}, {44, 82}, {36, 90}, {28, 98}, {16, 110}, {15, 112},
{44, 83}, {264, 392}, {265, 393}, {67, 192}, {75, 200}, {256, 387}, {257, 386},
{71, 195}, {79, 203}, {294, 419}, {295, 418}, {69, 194}, {78, 201}, {77, 202},
{70, 193}, {10, 130}, {260, 397}, {261, 396}, {268, 389}, {269, 388}, {9, 131},
{10, 128}, {10, 129}, {347, 464}, {76, 199}, {9, 133}, {350, 466}, {297, 421},
{296, 420}, {74, 198}, {73, 197}, {72, 196}, {9, 132}, {258, 399}, {259, 398},
{262, 395}, {263, 394}, {266, 391}, {267, 390}, {351, 465}, {270, 385}, {271,
384}, {286, 401}, {287, 400}, {348, 462}, {349, 463}, {286, 397}, {287, 396},
{64, 213}, {65, 212}, {346, 461}, {91, 192}, {95, 195}, {80, 205}, {81, 204},
{93, 194}, {94, 193}, {369, 465}, {288, 386}, {368, 466}, {361, 459}, {289,
387}, {108, 207}, {364, 463}, {106, 206}, {362, 462}, {360, 460}, {113, 213},
{112, 212}, {96, 197}, {97, 196}, {363, 461}, {288, 391}, {289, 390}, {290,
389}, {291, 388}, {355, 457}, {358, 460}, {354, 457}, {290, 398}, {359, 459},
{291, 399}, {292, 392}, {293, 393}, {300, 385}, {301, 384}, {356, 458}, {292,
395}, {357, 458}, {293, 394}, {371, 451}, {353, 467}, {352, 468}, {373, 449},
{370, 452}, {382, 456}, {372, 450}, {127, 200}, {126, 198}, {383, 455}, {366,
468}, {107, 208}, {111, 211}, {380, 448}, {377, 453}, {367, 467}, {365, 464},
{376, 454}, {109, 210}, {110, 209}, {330, 395}, {379, 442}, {343, 406}, {342,
407}, {339, 402}, {338, 403}, {331, 394}, {381, 447}, {91, 152}, {378, 441},
{323, 384}, {322, 385}, {107, 168}, {99, 160}, {95, 155}, {327, 387}, {326,
386}, {111, 171}, {110, 170}, {109, 169}, {103, 163}, {102, 162}, {101, 161},
{328, 397}, {345, 412}, {344, 413}, {329, 396}, {93, 154}, {94, 153}, {374,
446}, {342, 415}, {343, 414}, {375, 445}, {92, 151}, {335, 388}, {334, 389},
{325, 398}, {324, 399}, {323, 392}, {322, 393}, {108, 167}, {90, 150}, {341,
409}, {340, 408}, {106, 166}, {104, 165}, {345, 404}, {344, 405}, {105, 164},
{340, 411}, {341, 410}, {118, 166}, {123, 171}, {122, 170}, {121, 169}, {124,
173}, {125, 172}, {119, 160}, {337, 390}, {336, 391}, {121, 161}, {125, 165},
{124, 164}, {123, 163}, {122, 162}, {112, 173}, {333, 400}, {332, 401}, {113,
172}, {119, 168}, {120, 167}, {88, 185}, {89, 184}, {86, 181}, {92, 191}, {87,
180}, {86, 178}, {90, 190}, {87, 179}, {84, 177}, {85, 176}, {120, 159}, {127,
152}, {118, 158}, {126, 150}, {82, 187}, {83, 186}, {59, 208}, {100, 143}, {63,
211}, {98, 142}, {61, 210}, {127, 144}, {89, 182}, {88, 183}, {83, 188}, {82,
189}, {62, 209}, {126, 142}, {60, 207}, {339, 416}, {338, 417}, {99, 144}, {58,
206}, {115, 135}, {103, 147}, {115, 134}, {101, 146}, {102, 145}, {116, 141},
{117, 140}, {114, 136}, {68, 191}, {114, 137}, {100, 159}, {85, 174}, {84, 175},
{66, 190}, {98, 158}, {96, 157}, {105, 148}, {104, 149}, {97, 156}, {116, 138},
{117, 139}, {31, 287}, {34, 291}, {35, 290}, {28, 286}, {28, 287}, {35, 288},
{34, 289}, {32, 292}, {33, 293}, {33, 292}, {37, 303}, {38, 300}, {37, 302},
{38, 301}, {36, 298}, {36, 299}, {42, 313}, {43, 312}, {39, 307}, {39, 305},
{40, 304}, {40, 306}, {41, 309}, {41, 308}, {43, 310}, {42, 311}, {8, 296}, {8,
297}, {8, 294}, {8, 295}, {6, 318}, {6, 319}, {31, 293}, {6, 317}, {7, 316}, {6,
314}, {7, 315}, {29, 291}, {32, 286}, {30, 288}, {29, 290}, {30, 289}, {7, 321},
{7, 320}, {26, 337}, {27, 336}, {24, 329}, {240, 417}, {241, 416}, {21, 327},
{22, 324}, {21, 326}, {24, 331}, {22, 325}, {25, 333}, {25, 332}, {27, 334},
{26, 335}, {20, 322}, {20, 323}, {23, 330}, {23, 328}, {244, 407}, {245, 406},
{246, 405}, {247, 404}, {248, 413}, {249, 412}, {252, 411}, {253, 410}, {250,
403}, {251, 402}, {242, 409}, {243, 408}, {254, 401}, {255, 400}, {232, 409},
{233, 408}, {238, 415}, {239, 414}, {228, 403}, {229, 402}, {236, 405}, {237,
404}, {230, 411}, {231, 410}, {234, 407}, {235, 406}, {222, 417}, {223, 416},
{224, 415}, {225, 414}, {226, 413}, {227, 412}, {142, 270}, {144, 272}, {142,
271}, {144, 273}, {140, 271}, {141, 270}, {145, 277}, {146, 278}, {182, 307},
{183, 306}, {145, 279}, {146, 276}, {148, 284}, {149, 285}, {147, 281}, {147,
280}, {180, 313}, {181, 312}, {188, 305}, {189, 304}, {148, 283}, {149, 282},
{186, 309}, {187, 308}, {134, 278}, {134, 279}, {156, 269}, {157, 268}, {155,
265}, {155, 264}, {184, 299}, {185, 298}, {136, 284}, {151, 259}, {136, 285},
{151, 258}, {141, 280}, {140, 281}, {156, 267}, {157, 266}, {152, 256}, {138,
275}, {152, 257}, {139, 274}, {174, 311}, {175, 310}, {138, 273}, {139, 272},
{135, 283}, {143, 275}, {137, 277}, {135, 282}, {154, 263}, {153, 260}, {143,
274}, {137, 276}, {178, 300}, {179, 301}, {153, 262}, {154, 261}, {176, 303},
{177, 302}, {169, 265}, {182, 279}, {183, 278}, {166, 260}, {168, 266}, {170,
264}, {178, 272}, {179, 273}, {186, 280}, {187, 281}, {166, 261}, {168, 267},
{176, 275}, {177, 274}, {180, 284}, {181, 285}, {188, 277}, {189, 276}, {167,
269}, {167, 268}, {171, 263}, {171, 262}, {172, 257}, {173, 256}, {172, 259},
{173, 258}, {174, 257}, {175, 256}, {136, 315}, {137, 314}, {138, 318}, {139,
319}, {174, 283}, {175, 282}, {184, 270}, {185, 271}, {180, 259}, {181, 258},
{176, 266}, {177, 267}, {134, 317}, {135, 316}, {178, 269}, {179, 268}, {182,
265}, {183, 264}, {184, 263}, {185, 262}, {186, 261}, {187, 260}, {107, 424},
{111, 427}, {109, 426}, {110, 425}, {108, 423}, {106, 422}, {140, 321}, {141,
320}, {114, 419}, {117, 420}, {116, 421}, {115, 418}, {2, 470}, {3, 471}, {2,
469}, {4, 476}, {3, 472}, {4, 479}, {5, 473}, {3, 478}, {113, 428}, {112, 429},
{4, 474}, {5, 475}, {2, 477}, {68, 423}, {66, 422}, {5, 480}, {73, 428}, {72,
429}, {67, 424}, {71, 427}, {69, 426}, {70, 425} }>;
(II) A more general form is to represent the graph as the orbit of {1, 3}
under the group generated by the following permutations:
a: (1, 6, 8, 7)(2, 317, 294, 316)(3, 314, 295, 315)(4, 319, 296, 321)(5, 318,
297, 320)(9, 53, 11, 57)(10, 56, 12, 52)(13, 16, 54, 18)(14, 17, 55, 15)(19,
431, 432, 430)(20, 38, 142, 424)(21, 427, 143, 41)(22, 422, 144, 36)(23, 428,
146, 43)(24, 429, 145, 42)(25, 37, 147, 423)(26, 40, 149, 426)(27, 39, 148,
425)(28, 168, 44, 152)(29, 155, 45, 171)(30, 150, 46, 166)(31, 157, 47, 172)(32,
156, 48, 173)(33, 167, 51, 151)(34, 170, 50, 153)(35, 169, 49, 154)(58, 119, 66,
127)(59, 126, 67, 118)(60, 131, 68, 123)(61, 132, 69, 125)(62, 133, 70, 124)(63,
120, 71, 128)(64, 121, 73, 129)(65, 122, 72, 130)(74, 91, 98, 107)(75, 106, 99,
90)(76, 111, 100, 95)(77, 113, 101, 96)(78, 112, 102, 97)(79, 92, 103, 108)(80,
93, 104, 109)(81, 94, 105, 110)(82, 256, 286, 267)(83, 257, 287, 266)(84, 260,
289, 254)(85, 261, 288, 255)(86, 262, 291, 264)(87, 263, 290, 265)(88, 258, 292,
269)(89, 259, 293, 268)(114, 463, 457, 464)(115, 462, 458, 461)(116, 466, 459,
468)(117, 465, 460, 467)(134, 362, 357, 469)(135, 470, 356, 363)(136, 471, 354,
365)(137, 364, 355, 472)(138, 368, 359, 475)(139, 369, 358, 476)(140, 474, 360,
367)(141, 473, 361, 366)(158, 208, 198, 192)(159, 195, 199, 211)(160, 190, 200,
206)(161, 197, 202, 213)(162, 196, 201, 212)(163, 207, 203, 191)(164, 209, 204,
193)(165, 210, 205, 194)(174, 396, 391, 188)(175, 397, 390, 189)(176, 186, 386,
400)(177, 187, 387, 401)(178, 185, 399, 392)(179, 184, 398, 393)(180, 394, 389,
182)(181, 395, 388, 183)(214, 215)(216, 217)(218, 219)(220, 221)(222, 246, 238,
231)(223, 247, 239, 230)(224, 253, 240, 236)(225, 252, 241, 237)(226, 250, 242,
234)(227, 251, 243, 235)(228, 232, 244, 248)(229, 233, 245, 249)(270, 444, 322,
301)(271, 443, 323, 300)(272, 298, 324, 441)(273, 299, 325, 442)(274, 308, 327,
455)(275, 309, 326, 456)(276, 310, 328, 448)(277, 311, 329, 447)(278, 312, 330,
450)(279, 313, 331, 449)(280, 454, 333, 303)(281, 453, 332, 302)(282, 445, 337,
304)(283, 446, 336, 305)(284, 452, 334, 307)(285, 451, 335, 306)(338, 435, 342,
439)(339, 436, 343, 440)(340, 434, 345, 438)(341, 433, 344, 437)(346, 418, 348,
478)(347, 419, 349, 477)(350, 480, 352, 421)(351, 479, 353, 420)(370, 371)(372,
373)(374, 375)(376, 377)(378, 379)(380, 381)(382, 383)(384, 385)(402, 408, 406,
412)(403, 409, 407, 413)(404, 414, 411, 416)(405, 415, 410, 417) (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, 5)(23, 24)(26, 27)(31, 32)(34, 35)(39, 40)(42, 43)(47, 48)(49, 50)(61,
62)(64, 65)(69, 70)(72, 73)(77, 78)(80, 81)(82, 83)(84, 85)(86, 87)(88, 89)(93,
94)(96, 97)(101, 102)(104, 105)(109, 110)(112, 113)(116, 117)(121, 122)(124,
125)(129, 130)(132, 133)(138, 139)(140, 141)(145, 146)(148, 149)(153, 154)(156,
157)(161, 162)(164, 165)(169, 170)(172, 173)(174, 175)(176, 177)(178, 179)(180,
181)(182, 183)(184, 185)(186, 187)(188, 189)(193, 194)(196, 197)(201, 202)(204,
205)(209, 210)(212, 213)(214, 215)(216, 217)(218, 219)(220, 221)(222, 223)(224,
225)(226, 227)(228, 229)(230, 231)(232, 233)(234, 235)(236, 237)(238, 239)(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)(296, 297)(298, 299)(300, 301)(302, 303)(304, 305)(306,
307)(308, 309)(310, 311)(312, 313)(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)(350, 351)(352, 353)(358, 359)(360, 361)(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)(420,
421)(425, 426)(428, 429)(433, 434)(435, 436)(437, 438)(439, 440)(441, 442)(443,
444)(445, 446)(447, 448)(449, 450)(451, 452)(453, 454)(455, 456)(459, 460)(465,
466)(467, 468)(473, 474)(475, 476)(479, 480)
c: (1, 20, 22)(2, 74, 119)(3, 118, 75)(4, 323, 325, 5, 322, 324)(6, 36, 423)(7,
427, 38)(8, 147, 143)(9, 159, 363)(10, 364, 163)(11, 200, 471)(12, 469, 198)(13,
199, 365)(14, 362, 203)(15, 192, 357)(16, 354, 190)(17, 207, 137)(18, 135,
211)(19, 41, 37)(21, 430, 142)(23, 428, 219, 24, 429, 218)(25, 144, 431)(26,
220, 425, 27, 221, 426)(28, 45, 347)(29, 419, 155)(30, 348, 51)(31, 181, 412,
32, 180, 413)(33, 151, 418)(34, 402, 183, 35, 403, 182)(39, 148, 215, 40, 149,
214)(42, 217, 146, 43, 216, 145)(44, 168, 477)(46, 478, 166)(47, 390, 416, 48,
391, 417)(49, 405, 396, 50, 404, 397)(52, 208, 355)(53, 356, 206)(54, 160,
470)(55, 472, 158)(56, 191, 134)(57, 136, 195)(58, 68, 317)(59, 315, 71)(60,
114, 95)(61, 285, 249, 62, 284, 248)(63, 92, 115)(64, 250, 279, 65, 251,
278)(66, 107, 457)(67, 458, 106)(69, 337, 223, 70, 336, 222)(72, 237, 328, 73,
236, 329)(76, 464, 98)(77, 448, 241, 78, 447, 240)(79, 99, 462)(80, 246, 446,
81, 247, 445)(82, 266, 433, 83, 267, 434)(84, 436, 260, 85, 435, 261)(86, 345,
286, 87, 344, 287)(88, 288, 338, 89, 289, 339)(90, 108, 314)(91, 316, 111)(93,
282, 233, 94, 283, 232)(96, 234, 277, 97, 235, 276)(100, 294, 131)(101, 312,
227, 102, 313, 226)(103, 128, 295)(104, 228, 307, 105, 229, 306)(109, 335, 239,
110, 334, 238)(112, 252, 330, 113, 253, 331)(116, 309, 302, 117, 308, 303)(120,
461, 126)(121, 450, 225, 122, 449, 224)(123, 127, 463)(124, 230, 451, 125, 231,
452)(129, 310, 243, 130, 311, 242)(132, 244, 305, 133, 245, 304)(138, 368, 377,
139, 369, 376)(140, 383, 366, 141, 382, 367)(150, 167, 346)(152, 349, 171)(153,
174, 409, 154, 175, 408)(156, 406, 189, 157, 407, 188)(161, 372, 212, 162, 373,
213)(164, 209, 371, 165, 210, 370)(169, 388, 414, 170, 389, 415)(172, 410, 394,
173, 411, 395)(176, 421, 186, 177, 420, 187)(178, 351, 401, 179, 350, 400)(184,
387, 353, 185, 386, 352)(193, 375, 205, 194, 374, 204)(196, 201, 381, 197, 202,
380)(254, 268, 342, 255, 269, 343)(256, 340, 262, 257, 341, 263)(258, 440, 292,
259, 439, 293)(264, 290, 437, 265, 291, 438)(270, 327, 467, 271, 326, 468)(272,
465, 332, 273, 466, 333)(274, 296, 281, 275, 297, 280)(298, 454, 318, 299, 453,
319)(300, 321, 455, 301, 320, 456)(358, 476, 384, 359, 475, 385)(360, 378, 473,
361, 379, 474)(392, 398, 480, 393, 399, 479)(422, 424, 432)(441, 444, 459, 442,
443, 460)
d: (1, 9, 10)(2, 126, 127, 3, 131, 128)(4, 132, 129)(5, 133, 130)(6, 52, 12)(7,
11, 53)(8, 56, 57)(13, 18, 431)(14, 430, 17)(15, 16, 19)(20, 46, 357, 25, 45,
355)(21, 354, 44, 22, 356, 51)(23, 360, 49)(24, 361, 50)(26, 47, 358)(27, 48,
359)(28, 38, 364, 33, 37, 362)(29, 363, 36, 30, 365, 41)(31, 367, 43)(32, 366,
42)(34, 39, 368)(35, 40, 369)(54, 55, 432)(58, 59, 295, 63, 60, 294)(61, 296,
64)(62, 297, 65)(66, 119, 317, 71, 120, 314)(67, 316, 123, 68, 315, 118)(69,
321, 125)(70, 320, 124)(72, 122, 318)(73, 121, 319)(74, 75, 458, 79, 76,
457)(77, 460, 80)(78, 459, 81)(82, 325, 336, 88, 326, 334)(83, 324, 337, 89,
327, 335)(84, 331, 333, 86, 329, 322)(85, 330, 332, 87, 328, 323)(90, 99, 464,
95, 100, 461)(91, 463, 103, 92, 462, 98)(93, 465, 104)(94, 466, 105)(96, 101,
467)(97, 102, 468)(106, 107, 115, 111, 108, 114)(109, 117, 113)(110, 116,
112)(134, 427, 167, 137, 422, 168)(135, 171, 423, 136, 166, 424)(138, 429,
170)(139, 428, 169)(140, 172, 426)(141, 173, 425)(142, 152, 471, 147, 151,
470)(143, 469, 150, 144, 472, 155)(145, 475, 156)(146, 476, 157)(148, 153,
473)(149, 154, 474)(158, 192, 349, 163, 191, 348)(159, 346, 190, 160, 347,
195)(161, 353, 197)(162, 352, 196)(164, 193, 350)(165, 194, 351)(174, 395, 376,
180, 397, 384)(175, 394, 377, 181, 396, 385)(176, 373, 401, 179, 381, 392)(177,
372, 400, 178, 380, 393)(182, 382, 388, 188, 379, 390)(183, 383, 389, 189, 378,
391)(184, 387, 370, 186, 399, 374)(185, 386, 371, 187, 398, 375)(198, 200, 478,
203, 199, 477)(201, 480, 204)(202, 479, 205)(206, 208, 418, 211, 207, 419)(209,
421, 212)(210, 420, 213)(214, 406, 415, 220, 404, 413)(215, 407, 414, 221, 405,
412)(216, 402, 417, 219, 411, 409)(217, 403, 416, 218, 410, 408)(222, 236, 440,
232, 234, 438)(223, 237, 439, 233, 235, 437)(224, 231, 436, 226, 228, 434)(225,
230, 435, 227, 229, 433)(238, 246, 345, 248, 244, 343)(239, 247, 344, 249, 245,
342)(240, 253, 340, 242, 250, 339)(241, 252, 341, 243, 251, 338)(254, 273, 447,
264, 275, 449)(255, 272, 448, 265, 274, 450)(256, 452, 280, 258, 446, 270)(257,
451, 281, 259, 445, 271)(260, 444, 283, 262, 454, 284)(261, 443, 282, 263, 453,
285)(266, 278, 455, 268, 276, 441)(267, 279, 456, 269, 277, 442)(286, 301, 311,
292, 303, 313)(287, 300, 310, 293, 302, 312)(288, 306, 308, 290, 304, 298)(289,
307, 309, 291, 305, 299)
e: (2, 3)(6, 7)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(20, 22)(21, 25)(23,
26)(24, 27)(28, 30)(29, 33)(31, 35)(32, 34)(36, 38)(37, 41)(39, 42)(40, 43)(44,
46)(45, 51)(47, 49)(48, 50)(52, 53)(54, 55)(56, 57)(58, 59)(60, 63)(61, 64)(62,
65)(66, 67)(68, 71)(69, 73)(70, 72)(74, 75)(76, 79)(77, 80)(78, 81)(82, 84)(83,
85)(86, 88)(87, 89)(90, 91)(92, 95)(93, 96)(94, 97)(98, 99)(100, 103)(101,
104)(102, 105)(106, 107)(108, 111)(109, 113)(110, 112)(114, 115)(118, 119)(120,
123)(121, 125)(122, 124)(126, 127)(128, 131)(129, 132)(130, 133)(134, 136)(135,
137)(138, 141)(139, 140)(142, 144)(143, 147)(145, 148)(146, 149)(150, 152)(151,
155)(153, 156)(154, 157)(158, 160)(159, 163)(161, 165)(162, 164)(166, 168)(167,
171)(169, 172)(170, 173)(174, 188)(175, 189)(176, 186)(177, 187)(178, 185)(179,
184)(180, 182)(181, 183)(190, 192)(191, 195)(193, 196)(194, 197)(198, 200)(199,
203)(201, 204)(202, 205)(206, 208)(207, 211)(209, 212)(210, 213)(214, 217)(215,
216)(218, 220)(219, 221)(222, 236)(223, 237)(224, 231)(225, 230)(226, 228)(227,
229)(232, 234)(233, 235)(238, 253)(239, 252)(240, 246)(241, 247)(242, 244)(243,
245)(248, 250)(249, 251)(254, 256)(255, 257)(258, 264)(259, 265)(260, 267)(261,
266)(262, 269)(263, 268)(270, 273)(271, 272)(274, 281)(275, 280)(276, 282)(277,
283)(278, 285)(279, 284)(286, 289)(287, 288)(290, 293)(291, 292)(294, 295)(298,
300)(299, 301)(302, 308)(303, 309)(304, 310)(305, 311)(306, 312)(307, 313)(314,
316)(315, 317)(318, 320)(319, 321)(322, 325)(323, 324)(326, 333)(327, 332)(328,
337)(329, 336)(330, 335)(331, 334)(338, 344)(339, 345)(340, 343)(341, 342)(346,
349)(347, 348)(350, 352)(351, 353)(354, 357)(355, 356)(358, 360)(359, 361)(362,
365)(363, 364)(366, 368)(367, 369)(370, 373)(371, 372)(374, 381)(375, 380)(376,
382)(377, 383)(378, 385)(379, 384)(386, 400)(387, 401)(388, 395)(389, 394)(390,
397)(391, 396)(392, 399)(393, 398)(402, 412)(403, 413)(404, 416)(405, 417)(406,
408)(407, 409)(410, 415)(411, 414)(418, 419)(422, 424)(423, 427)(425, 429)(426,
428)(430, 431)(433, 435)(434, 436)(437, 439)(438, 440)(441, 443)(442, 444)(445,
448)(446, 447)(449, 452)(450, 451)(453, 455)(454, 456)(457, 458)(461, 463)(462,
464)(465, 467)(466, 468)(469, 471)(470, 472)(473, 475)(474, 476)(477, 478)
f: (2, 5)(3, 4)(6, 7)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(20, 23)(21, 26)(22,
27)(24, 25)(28, 31)(29, 35)(30, 34)(32, 33)(36, 40)(37, 43)(38, 42)(39, 41)(44,
47)(45, 49)(46, 50)(48, 51)(52, 53)(54, 55)(56, 57)(58, 61)(59, 65)(60, 64)(62,
63)(66, 69)(67, 72)(68, 73)(70, 71)(74, 77)(75, 81)(76, 80)(78, 79)(82, 89)(85,
86)(90, 93)(91, 97)(92, 96)(94, 95)(98, 101)(99, 105)(100, 104)(102, 103)(106,
109)(107, 112)(108, 113)(110, 111)(114, 116)(115, 117)(118, 121)(119, 124)(120,
125)(122, 123)(126, 129)(127, 133)(128, 132)(130, 131)(134, 140)(135, 139)(136,
138)(137, 141)(142, 146)(143, 149)(144, 148)(145, 147)(150, 154)(151, 157)(152,
156)(153, 155)(158, 161)(159, 165)(160, 164)(162, 163)(166, 169)(167, 172)(168,
173)(170, 171)(174, 178)(175, 177)(176, 181)(179, 180)(182, 187)(183, 185)(184,
189)(186, 188)(190, 194)(191, 197)(192, 196)(193, 195)(198, 202)(199, 205)(200,
204)(201, 203)(206, 210)(207, 213)(208, 212)(209, 211)(214, 221)(216, 218)(222,
228)(223, 231)(224, 234)(225, 236)(226, 235)(227, 237)(229, 232)(230, 233)(238,
244)(239, 246)(240, 250)(241, 253)(242, 251)(243, 252)(245, 248)(247, 249)(254,
263)(255, 261)(256, 267)(257, 269)(258, 266)(259, 268)(260, 265)(262, 264)(270,
276)(271, 278)(272, 283)(273, 284)(274, 282)(275, 285)(277, 280)(279, 281)(286,
293)(288, 291)(294, 297)(295, 296)(298, 306)(299, 304)(300, 311)(301, 313)(302,
310)(303, 312)(305, 309)(307, 308)(314, 320)(315, 318)(316, 319)(317, 321)(322,
328)(323, 330)(324, 336)(325, 334)(326, 335)(327, 337)(329, 333)(331, 332)(339,
341)(343, 344)(346, 350)(347, 351)(348, 352)(349, 353)(354, 359)(355, 361)(356,
358)(357, 360)(362, 366)(363, 368)(364, 367)(365, 369)(370, 383)(371, 378)(372,
376)(373, 384)(374, 382)(375, 379)(377, 380)(381, 385)(386, 388)(387, 390)(389,
398)(391, 399)(392, 395)(393, 397)(394, 401)(396, 400)(402, 409)(403, 417)(404,
412)(405, 414)(406, 413)(407, 415)(408, 411)(410, 416)(418, 420)(419, 421)(422,
426)(423, 428)(424, 429)(425, 427)(430, 431)(433, 437)(434, 439)(435, 438)(436,
440)(441, 451)(442, 445)(443, 447)(444, 449)(446, 456)(448, 453)(450, 454)(452,
455)(457, 459)(458, 460)(461, 466)(462, 468)(463, 467)(464, 465)(469, 473)(470,
475)(471, 476)(472, 474)(477, 480)(478, 479)
g: (6, 7)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(20, 21)(22, 25)(23, 26)(24,
27)(28, 29)(30, 33)(31, 35)(32, 34)(36, 37)(38, 41)(39, 42)(40, 43)(44, 45)(46,
51)(47, 49)(48, 50)(52, 53)(54, 55)(56, 57)(58, 60)(59, 63)(61, 64)(62, 65)(66,
68)(67, 71)(69, 73)(70, 72)(74, 76)(75, 79)(77, 80)(78, 81)(82, 86)(83, 87)(84,
88)(85, 89)(90, 92)(91, 95)(93, 96)(94, 97)(98, 100)(99, 103)(101, 104)(102,
105)(106, 108)(107, 111)(109, 113)(110, 112)(118, 120)(119, 123)(121, 125)(122,
124)(126, 128)(127, 131)(129, 132)(130, 133)(134, 135)(136, 137)(138, 141)(139,
140)(142, 143)(144, 147)(145, 148)(146, 149)(150, 151)(152, 155)(153, 156)(154,
157)(158, 159)(160, 163)(161, 165)(162, 164)(166, 167)(168, 171)(169, 172)(170,
173)(174, 182)(175, 183)(176, 184)(177, 185)(178, 187)(179, 186)(180, 188)(181,
189)(190, 191)(192, 195)(193, 196)(194, 197)(198, 199)(200, 203)(201, 204)(202,
205)(206, 207)(208, 211)(209, 212)(210, 213)(214, 218)(215, 219)(216, 221)(217,
220)(222, 234)(223, 235)(224, 228)(225, 229)(226, 231)(227, 230)(232, 236)(233,
237)(238, 250)(239, 251)(240, 244)(241, 245)(242, 246)(243, 247)(248, 253)(249,
252)(254, 258)(255, 259)(256, 264)(257, 265)(260, 269)(261, 268)(262, 267)(263,
266)(270, 275)(271, 274)(272, 281)(273, 280)(276, 285)(277, 284)(278, 282)(279,
283)(286, 291)(287, 290)(288, 293)(289, 292)(298, 302)(299, 303)(300, 308)(301,
309)(304, 312)(305, 313)(306, 310)(307, 311)(314, 315)(316, 317)(318, 320)(319,
321)(322, 326)(323, 327)(324, 332)(325, 333)(328, 335)(329, 334)(330, 337)(331,
336)(338, 342)(339, 343)(340, 345)(341, 344)(346, 348)(347, 349)(350, 352)(351,
353)(354, 355)(356, 357)(358, 360)(359, 361)(362, 363)(364, 365)(366, 368)(367,
369)(370, 381)(371, 380)(372, 375)(373, 374)(376, 379)(377, 378)(382, 384)(383,
385)(386, 393)(387, 392)(388, 397)(389, 396)(390, 395)(391, 394)(398, 400)(399,
401)(402, 414)(403, 415)(404, 408)(405, 409)(406, 416)(407, 417)(410, 413)(411,
412)(422, 423)(424, 427)(425, 429)(426, 428)(430, 431)(441, 453)(442, 454)(443,
455)(444, 456)(445, 450)(446, 449)(447, 452)(448, 451)(461, 462)(463, 464)(465,
467)(466, 468)(469, 470)(471, 472)(473, 475)(474, 476)
h: (1, 13, 53, 19, 52, 14)(2, 98, 67, 115, 71, 100)(3, 103, 68, 114, 66, 99)(4,
104, 69, 117, 73, 101)(5, 105, 70, 116, 72, 102)(6, 15, 57, 431, 9, 55)(7, 54,
10, 430, 56, 16)(8, 17, 12, 432, 11, 18)(20, 152, 365, 41, 167, 355)(21, 354,
166, 38, 364, 155)(22, 356, 171, 37, 362, 150)(23, 360, 172, 40, 369, 157)(24,
361, 173, 39, 368, 156)(25, 151, 363, 36, 168, 357)(26, 154, 367, 43, 169,
358)(27, 153, 366, 42, 170, 359)(28, 424, 135, 51, 143, 469)(29, 470, 142, 46,
134, 427)(30, 471, 147, 45, 137, 422)(31, 474, 149, 47, 139, 428)(32, 473, 148,
48, 138, 429)(33, 423, 136, 44, 144, 472)(34, 425, 141, 50, 145, 475)(35, 426,
140, 49, 146, 476)(58, 107, 316, 79, 128, 461)(59, 463, 131, 76, 314, 106)(60,
462, 126, 75, 317, 111)(61, 465, 132, 77, 319, 113)(62, 466, 133, 78, 318,
112)(63, 108, 315, 74, 127, 464)(64, 109, 321, 80, 129, 467)(65, 110, 320, 81,
130, 468)(82, 273, 447, 292, 454, 284)(83, 272, 448, 293, 453, 285)(84, 279,
456, 291, 446, 270)(85, 278, 455, 290, 445, 271)(86, 277, 442, 289, 452,
280)(87, 276, 441, 288, 451, 281)(88, 275, 449, 286, 444, 283)(89, 274, 450,
287, 443, 282)(90, 119, 458, 123, 92, 294)(91, 295, 95, 120, 457, 118)(93, 296,
96, 121, 460, 125)(94, 297, 97, 122, 459, 124)(158, 192, 418, 195, 159,
477)(160, 478, 163, 191, 419, 190)(161, 479, 165, 194, 420, 197)(162, 480, 164,
193, 421, 196)(174, 183, 383, 389, 397, 384)(175, 182, 382, 388, 396, 385)(176,
373, 401, 398, 375, 185)(177, 372, 400, 399, 374, 184)(178, 380, 393, 387, 370,
186)(179, 381, 392, 386, 371, 187)(180, 189, 378, 391, 395, 376)(181, 188, 379,
390, 394, 377)(198, 200, 347, 211, 207, 348)(199, 346, 206, 208, 349, 203)(201,
352, 212, 209, 350, 204)(202, 353, 213, 210, 351, 205)(214, 406, 417, 219, 411,
413)(215, 407, 416, 218, 410, 412)(216, 402, 415, 220, 404, 409)(217, 403, 414,
221, 405, 408)(222, 236, 340, 226, 228, 343)(223, 237, 341, 227, 229, 342)(224,
231, 345, 232, 234, 339)(225, 230, 344, 233, 235, 338)(238, 246, 436, 242, 250,
438)(239, 247, 435, 243, 251, 437)(240, 253, 440, 248, 244, 434)(241, 252, 439,
249, 245, 433)(254, 325, 336, 262, 303, 313)(255, 324, 337, 263, 302, 312)(256,
307, 309, 269, 329, 322)(257, 306, 308, 268, 328, 323)(258, 305, 299, 267, 331,
333)(259, 304, 298, 266, 330, 332)(260, 301, 311, 264, 326, 334)(261, 300, 310,
265, 327, 335)
C4[ 480, 541 ]
480
-1 2 3 4 5
-2 1 477 469 470
-3 1 478 471 472
-4 1 474 476 479
-5 473 1 475 480
-6 319 314 317 318
-7 320 321 315 316
-8 297 294 295 296
-9 132 133 126 131
-10 127 128 129 130
-11 123 124 125 118
-12 121 122 119 120
-13 103 104 105 98
-14 99 100 101 102
-15 111 112 113 106
-16 110 107 108 109
-17 90 95 96 97
-18 91 92 93 94
-19 114 115 116 117
-20 322 323 74 118
-21 326 327 76 120
-22 324 325 75 119
-23 77 121 330 328
-24 78 122 331 329
-25 79 123 332 333
-26 80 125 335 337
-27 124 81 334 336
-28 286 287 58 98
-29 100 290 60 291
-30 99 288 289 59
-31 287 101 61 293
-32 286 102 292 62
-33 103 292 293 63
-34 289 291 105 65
-35 288 290 104 64
-36 298 90 299 58
-37 92 60 302 303
-38 91 300 59 301
-39 94 62 305 307
-40 93 61 304 306
-41 308 309 95 63
-42 311 313 97 65
-43 310 312 96 64
-44 66 82 83 74
-45 68 86 76 87
-46 67 84 85 75
-47 77 89 69 83
-48 88 78 70 82
-49 80 73 85 87
-50 81 72 84 86
-51 88 89 79 71
-52 66 71 72 73
-53 67 68 69 70
-54 79 80 81 74
-55 77 78 75 76
-56 58 63 64 65
-57 59 60 61 62
-58 56 36 28 206
-59 57 38 30 208
-60 57 37 29 207
-61 210 57 40 31
-62 209 57 39 32
-63 33 56 211 41
-64 56 35 213 43
-65 34 56 212 42
-66 44 190 422 52
-67 46 192 424 53
-68 45 191 423 53
-69 47 194 426 53
-70 48 193 425 53
-71 51 52 195 427
-72 429 50 52 196
-73 49 52 197 428
-74 44 198 20 54
-75 22 55 46 200
-76 55 45 199 21
-77 55 23 47 202
-78 55 24 201 48
-79 25 203 51 54
-80 26 49 205 54
-81 27 50 204 54
-82 44 187 189 48
-83 44 188 47 186
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-87 45 179 180 49
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-89 47 182 51 184
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-113 15 213 172 428
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-204 133 233 223 81
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-250 191 161 216 403
-251 191 402 162 217
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-261 154 396 166 186
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-326 386 359 383 21
-327 387 358 382 21
-328 23 397 355 381
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-331 24 357 372 394
-332 376 25 401 360
-333 25 377 400 361
-334 354 389 27 371
-335 354 388 26 370
-336 375 356 27 391
-337 374 26 356 390
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-339 353 402 348 416
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-342 407 346 415 350
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-347 464 344 345 317
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-349 341 463 316 340
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-351 321 343 465 345
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-353 319 467 339 340
-354 334 335 314 457
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-356 336 337 458 317
-357 330 331 458 316
-358 321 324 327 460
-359 320 325 326 459
-360 319 332 323 460
-361 322 333 459 318
-362 462 312 313 294
-363 304 294 305 461
-364 463 310 311 295
-365 464 295 306 307
-366 297 301 303 468
-367 300 302 467 296
-368 297 309 299 466
-369 308 298 465 296
-370 452 335 285 307
-371 451 334 284 306
-372 331 279 312 450
-373 330 278 313 449
-374 446 282 337 305
-375 445 336 304 283
-376 332 454 281 303
-377 453 333 280 302
-378 298 441 325 273
-379 299 442 324 272
-380 277 310 448 329
-381 276 311 447 328
-382 309 456 327 274
-383 275 308 455 326
-384 301 323 444 271
-385 300 322 443 270
-386 288 454 257 326
-387 453 256 289 327
-388 269 291 335 450
-389 268 290 334 449
-390 267 289 337 448
-391 266 288 336 447
-392 264 441 323 292
-393 265 442 322 293
-394 331 452 293 263
-395 330 451 292 262
-396 287 446 261 329
-397 286 445 260 328
-398 290 444 259 325
-399 443 258 291 324
-400 287 255 333 456
-401 286 254 332 455
-402 229 251 438 339
-403 228 250 437 338
-404 345 247 237 436
-405 344 246 236 435
-406 343 245 235 434
-407 342 244 234 433
-408 243 233 436 340
-409 242 341 232 435
-410 231 253 341 439
-411 440 230 252 340
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