Graph forms
for C4 [ 480, 430 ] = BGCG(PX(5,4),C_3,{1,4})
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[Families]
On this page are computer-accessible forms for the graph C4[ 480, 430 ] =
BGCG(PX(5,4),C_3,{1,4}).
(I) Following is a form readable by MAGMA:
g:=Graph<480|{ {160, 171}, {320, 331}, {73, 89}, {393, 409}, {233, 249}, {73,
90}, {393, 410}, {233, 250}, {65, 85}, {394, 414}, {385, 405}, {74, 94}, {225,
245}, {234, 254}, {65, 84}, {394, 415}, {385, 404}, {74, 95}, {225, 244}, {234,
255}, {152, 184}, {156, 188}, {66, 99}, {386, 419}, {147, 178}, {75, 105}, {395,
425}, {131, 161}, {209, 243}, {75, 104}, {395, 424}, {140, 175}, {221, 249},
{209, 244}, {221, 248}, {66, 100}, {386, 420}, {157, 181}, {213, 253}, {136,
162}, {141, 167}, {213, 254}, {67, 110}, {387, 430}, {146, 191}, {67, 109},
{387, 429}, {151, 185}, {130, 173}, {77, 125}, {397, 445}, {199, 247}, {77,
124}, {397, 444}, {131, 178}, {151, 165}, {193, 243}, {141, 190}, {193, 242},
{76, 120}, {396, 440}, {68, 114}, {388, 434}, {203, 253}, {68, 115}, {388, 435},
{155, 172}, {137, 190}, {135, 176}, {203, 252}, {146, 168}, {156, 166}, {76,
119}, {396, 439}, {145, 170}, {136, 179}, {132, 191}, {142, 179}, {150, 169},
{199, 248}, {17, 81}, {390, 454}, {50, 114}, {177, 241}, {133, 196}, {390, 455},
{318, 383}, {293, 356}, {158, 223}, {20, 86}, {398, 460}, {297, 363}, {271,
333}, {137, 203}, {180, 246}, {17, 82}, {309, 374}, {303, 364}, {277, 342},
{149, 214}, {143, 204}, {50, 113}, {20, 87}, {177, 242}, {180, 247}, {260, 327},
{35, 103}, {389, 449}, {314, 382}, {154, 222}, {35, 102}, {398, 459}, {282,
348}, {287, 345}, {286, 344}, {272, 343}, {389, 450}, {62, 118}, {37, 108},
{292, 365}, {132, 205}, {62, 119}, {22, 92}, {400, 474}, {313, 371}, {304, 378},
{153, 211}, {144, 218}, {182, 252}, {256, 330}, {261, 335}, {55, 124}, {400,
475}, {302, 357}, {142, 197}, {265, 322}, {45, 97}, {298, 358}, {281, 341},
{138, 198}, {55, 123}, {22, 91}, {319, 370}, {159, 210}, {182, 251}, {37, 107},
{160, 238}, {45, 98}, {308, 379}, {276, 347}, {148, 219}, {270, 321}, {1, 81},
{307, 355}, {289, 369}, {288, 368}, {161, 241}, {147, 195}, {129, 209}, {128,
208}, {54, 103}, {262, 340}, {285, 334}, {1, 85}, {384, 468}, {317, 361}, {157,
201}, {32, 116}, {2, 86}, {161, 245}, {162, 246}, {256, 340}, {32, 117}, {384,
469}, {271, 346}, {58, 108}, {391, 465}, {318, 360}, {298, 380}, {158, 200},
{138, 220}, {58, 109}, {392, 479}, {391, 464}, {312, 367}, {275, 324}, {152,
207}, {2, 90}, {303, 375}, {143, 215}, {41, 113}, {3, 91}, {162, 250}, {163,
251}, {261, 349}, {38, 127}, {399, 470}, {47, 118}, {41, 112}, {47, 117}, {399,
469}, {308, 366}, {286, 324}, {281, 323}, {276, 334}, {148, 206}, {57, 99},
{266, 336}, {267, 337}, {57, 98}, {313, 354}, {280, 323}, {153, 194}, {3, 95},
{163, 255}, {257, 349}, {133, 216}, {293, 376}, {36, 122}, {299, 373}, {139,
213}, {54, 104}, {36, 123}, {294, 377}, {134, 217}, {4, 100}, {316, 348}, {312,
344}, {128, 224}, {5, 101}, {284, 381}, {307, 338}, {49, 83}, {291, 321}, {139,
233}, {129, 226}, {300, 335}, {268, 367}, {4, 96}, {273, 373}, {140, 232}, {61,
89}, {49, 84}, {61, 88}, {258, 359}, {134, 225}, {6, 110}, {392, 480}, {317,
341}, {53, 93}, {18, 122}, {7, 111}, {267, 354}, {266, 352}, {301, 327}, {296,
322}, {18, 121}, {53, 94}, {257, 362}, {5, 105}, {19, 127}, {6, 106}, {19, 126},
{306, 351}, {130, 239}, {29, 112}, {262, 360}, {311, 345}, {274, 380}, {263,
361}, {278, 377}, {290, 333}, {283, 372}, {279, 376}, {8, 120}, {39, 87}, {27,
107}, {9, 121}, {259, 371}, {27, 106}, {291, 338}, {283, 362}, {154, 235}, {268,
381}, {29, 111}, {311, 325}, {273, 355}, {33, 83}, {33, 82}, {301, 350}, {278,
357}, {150, 229}, {7, 115}, {144, 228}, {10, 126}, {9, 125}, {23, 97}, {43, 93},
{263, 369}, {23, 96}, {315, 332}, {297, 350}, {295, 336}, {135, 240}, {43, 92},
{149, 236}, {277, 364}, {269, 372}, {306, 328}, {316, 326}, {292, 351}, {305,
330}, {296, 339}, {8, 116}, {159, 227}, {145, 237}, {26, 102}, {258, 382}, {155,
230}, {302, 339}, {282, 359}, {272, 366}, {287, 353}, {26, 101}, {310, 329},
{39, 88}, {12, 140}, {333, 461}, {332, 460}, {13, 141}, {94, 223}, {31, 157},
{351, 477}, {88, 218}, {31, 156}, {351, 476}, {12, 136}, {332, 456}, {83, 214},
{109, 232}, {269, 392}, {30, 152}, {350, 472}, {99, 229}, {259, 389}, {110,
233}, {270, 393}, {10, 130}, {331, 451}, {330, 450}, {105, 225}, {104, 224},
{100, 236}, {11, 131}, {260, 396}, {264, 384}, {265, 385}, {30, 151}, {350,
471}, {11, 135}, {336, 476}, {331, 455}, {92, 208}, {16, 156}, {28, 146}, {348,
466}, {89, 215}, {28, 147}, {348, 467}, {93, 210}, {84, 219}, {24, 136}, {344,
456}, {21, 132}, {344, 457}, {341, 452}, {24, 137}, {87, 196}, {15, 155}, {345,
461}, {335, 475}, {82, 198}, {25, 141}, {88, 205}, {274, 391}, {114, 231}, {21,
131}, {341, 451}, {284, 394}, {124, 234}, {25, 142}, {345, 462}, {14, 150},
{335, 471}, {334, 470}, {279, 399}, {119, 239}, {104, 240}, {83, 203}, {15,
151}, {264, 400}, {115, 234}, {275, 394}, {120, 226}, {285, 391}, {280, 386},
{125, 231}, {13, 145}, {334, 466}, {333, 465}, {93, 193}, {92, 192}, {14, 146},
{288, 384}, {56, 153}, {376, 473}, {124, 221}, {56, 154}, {380, 478}, {376,
474}, {299, 393}, {60, 158}, {60, 159}, {380, 479}, {289, 386}, {108, 207}, {52,
144}, {372, 464}, {300, 392}, {113, 213}, {98, 199}, {38, 128}, {358, 448},
{294, 385}, {107, 194}, {106, 192}, {97, 202}, {34, 142}, {354, 462}, {34, 143},
{354, 463}, {290, 399}, {42, 132}, {362, 452}, {114, 220}, {103, 201}, {102,
200}, {42, 133}, {362, 453}, {123, 212}, {119, 216}, {118, 217}, {16, 160},
{366, 478}, {336, 480}, {99, 211}, {46, 158}, {108, 221}, {314, 395}, {123,
202}, {84, 230}, {113, 195}, {46, 157}, {366, 477}, {310, 389}, {118, 197}, {94,
237}, {44, 152}, {383, 459}, {364, 472}, {304, 388}, {63, 139}, {44, 153}, {383,
458}, {371, 454}, {364, 473}, {63, 138}, {51, 134}, {51, 133}, {371, 453}, {103,
209}, {89, 238}, {295, 400}, {48, 137}, {368, 457}, {309, 396}, {117, 204},
{109, 212}, {90, 227}, {48, 138}, {379, 449}, {368, 458}, {59, 129}, {40, 147},
{379, 448}, {372, 463}, {360, 467}, {95, 228}, {59, 128}, {52, 143}, {40, 148},
{360, 468}, {319, 387}, {305, 397}, {98, 222}, {122, 199}, {315, 390}, {85,
235}, {127, 193}, {112, 206}, {70, 134}, {370, 434}, {337, 401}, {70, 135}, {78,
140}, {340, 406}, {111, 173}, {100, 167}, {370, 433}, {340, 407}, {337, 402},
{117, 182}, {69, 129}, {355, 423}, {78, 139}, {355, 422}, {122, 188}, {127,
185}, {126, 184}, {69, 130}, {112, 183}, {382, 438}, {357, 428}, {382, 439},
{80, 154}, {342, 412}, {101, 175}, {96, 170}, {80, 155}, {375, 444}, {105, 162},
{121, 181}, {375, 443}, {365, 417}, {342, 411}, {320, 398}, {357, 427}, {110,
161}, {365, 418}, {116, 187}, {321, 401}, {374, 423}, {102, 180}, {125, 174},
{64, 148}, {352, 436}, {322, 406}, {321, 405}, {96, 180}, {64, 149}, {352, 437},
{111, 186}, {71, 145}, {378, 428}, {71, 144}, {378, 429}, {115, 164}, {72, 159},
{101, 189}, {361, 433}, {323, 411}, {322, 410}, {79, 150}, {367, 438}, {361,
432}, {358, 447}, {79, 149}, {377, 419}, {367, 437}, {126, 164}, {121, 163},
{116, 174}, {107, 177}, {106, 176}, {120, 163}, {377, 418}, {97, 189}, {323,
415}, {356, 442}, {374, 424}, {356, 443}, {324, 420}, {325, 421}, {86, 183},
{369, 403}, {324, 416}, {381, 409}, {369, 404}, {381, 408}, {81, 182}, {72,
160}, {373, 413}, {338, 442}, {327, 431}, {326, 430}, {82, 187}, {91, 177},
{338, 441}, {373, 414}, {325, 425}, {339, 447}, {326, 426}, {87, 186}, {349,
432}, {339, 446}, {328, 440}, {359, 407}, {347, 427}, {329, 441}, {347, 426},
{91, 169}, {353, 403}, {349, 431}, {85, 166}, {353, 402}, {327, 435}, {330,
446}, {329, 445}, {343, 417}, {363, 413}, {95, 168}, {363, 412}, {343, 416},
{81, 171}, {86, 172}, {328, 436}, {346, 422}, {90, 165}, {359, 408}, {346, 421},
{244, 390}, {254, 397}, {249, 398}, {250, 387}, {255, 388}, {245, 395}, {64,
448}, {172, 300}, {173, 301}, {23, 406}, {61, 444}, {254, 383}, {73, 459}, {191,
317}, {248, 378}, {47, 428}, {66, 449}, {191, 316}, {53, 433}, {72, 460}, {172,
296}, {39, 418}, {243, 374}, {190, 312}, {22, 401}, {65, 454}, {170, 290}, {171,
291}, {27, 402}, {34, 427}, {190, 311}, {17, 411}, {32, 426}, {42, 417}, {171,
295}, {176, 316}, {252, 368}, {26, 407}, {79, 450}, {40, 422}, {60, 434}, {41,
423}, {188, 306}, {249, 375}, {52, 443}, {57, 438}, {56, 439}, {188, 307}, {244,
379}, {253, 370}, {51, 419}, {184, 296}, {42, 443}, {75, 474}, {61, 428}, {181,
292}, {184, 297}, {9, 411}, {35, 433}, {6, 405}, {69, 470}, {37, 438}, {247,
356}, {68, 464}, {175, 315}, {185, 301}, {242, 358}, {248, 365}, {49, 423},
{181, 291}, {8, 415}, {80, 455}, {185, 302}, {174, 310}, {175, 311}, {243, 363},
{44, 437}, {76, 469}, {52, 429}, {11, 401}, {12, 406}, {62, 418}, {77, 465},
{67, 479}, {173, 305}, {174, 306}, {252, 352}, {253, 353}, {39, 442}, {70, 475},
{33, 447}, {46, 432}, {5, 410}, {164, 260}, {165, 261}, {63, 414}, {246, 343},
{13, 431}, {58, 408}, {7, 420}, {22, 437}, {164, 256}, {54, 403}, {24, 446},
{28, 442}, {25, 447}, {23, 432}, {241, 342}, {166, 270}, {167, 271}, {178, 282},
{232, 320}, {242, 347}, {10, 416}, {15, 421}, {251, 337}, {2, 425}, {178, 281},
{21, 441}, {48, 412}, {165, 265}, {166, 266}, {179, 287}, {179, 286}, {189,
272}, {247, 346}, {55, 409}, {78, 480}, {1, 430}, {59, 404}, {50, 413}, {27,
436}, {168, 280}, {169, 281}, {187, 267}, {187, 266}, {20, 422}, {189, 271},
{251, 329}, {14, 445}, {36, 407}, {245, 326}, {20, 416}, {38, 402}, {167, 275},
{169, 285}, {170, 286}, {26, 431}, {45, 408}, {183, 257}, {4, 435}, {183, 256},
{255, 328}, {29, 421}, {43, 403}, {3, 441}, {17, 427}, {16, 426}, {14, 436}, {4,
446}, {241, 331}, {246, 332}, {3, 440}, {29, 417}, {33, 413}, {32, 412}, {168,
276}, {186, 262}, {186, 261}, {250, 325}, {24, 472}, {28, 476}, {210, 274},
{230, 294}, {18, 467}, {230, 295}, {1, 451}, {238, 300}, {15, 460}, {210, 273},
{195, 263}, {229, 289}, {195, 262}, {238, 299}, {229, 290}, {21, 477}, {222,
278}, {197, 268}, {222, 279}, {2, 456}, {7, 461}, {240, 314}, {215, 284}, {240,
315}, {205, 257}, {215, 283}, {31, 466}, {25, 471}, {197, 267}, {13, 450}, {205,
258}, {18, 451}, {214, 263}, {5, 471}, {70, 404}, {30, 461}, {77, 414}, {192,
276}, {224, 308}, {192, 277}, {224, 309}, {218, 268}, {231, 305}, {12, 475},
{78, 409}, {30, 457}, {16, 455}, {218, 269}, {231, 304}, {232, 319}, {201, 273},
{67, 410}, {198, 287}, {201, 272}, {207, 278}, {239, 310}, {6, 476}, {8, 466},
{207, 277}, {217, 259}, {239, 309}, {10, 465}, {68, 415}, {31, 452}, {19, 456},
{217, 258}, {19, 462}, {75, 405}, {196, 282}, {214, 264}, {9, 470}, {196, 283},
{36, 453}, {63, 478}, {216, 313}, {226, 259}, {43, 457}, {216, 314}, {220, 318},
{235, 265}, {44, 463}, {54, 469}, {220, 319}, {235, 264}, {62, 474}, {212, 304},
{72, 429}, {69, 419}, {198, 288}, {226, 260}, {73, 430}, {64, 424}, {76, 420},
{65, 425}, {45, 452}, {51, 473}, {58, 464}, {11, 480}, {37, 462}, {38, 458},
{194, 302}, {50, 479}, {194, 303}, {227, 270}, {202, 292}, {227, 269}, {59,
468}, {202, 293}, {35, 467}, {49, 449}, {48, 448}, {176, 320}, {206, 318}, {237,
285}, {237, 284}, {206, 317}, {41, 477}, {204, 312}, {223, 299}, {236, 280},
{71, 434}, {204, 313}, {211, 294}, {223, 298}, {40, 478}, {74, 444}, {60, 458},
{211, 293}, {228, 274}, {47, 472}, {228, 275}, {55, 463}, {80, 424}, {79, 439},
{74, 435}, {208, 297}, {46, 468}, {71, 445}, {66, 440}, {208, 298}, {219, 289},
{34, 473}, {200, 307}, {212, 303}, {219, 288}, {236, 279}, {200, 308}, {56,
453}, {53, 459}, {57, 454} }>;
(II) A more general form is to represent the graph as the orbit of {160, 171}
under the group generated by the following permutations:
a: (1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 22)(18, 21)(19,
24)(20, 23)(25, 30)(26, 29)(27, 32)(28, 31)(33, 43)(34, 44)(35, 41)(36, 42)(37,
47)(38, 48)(39, 45)(40, 46)(49, 53)(50, 54)(51, 55)(52, 56)(57, 61)(58, 62)(59,
63)(60, 64)(65, 74)(66, 73)(67, 76)(68, 75)(69, 78)(70, 77)(71, 80)(72, 79)(81,
91)(82, 92)(83, 93)(84, 94)(85, 95)(86, 96)(87, 97)(88, 98)(89, 99)(90,
100)(101, 111)(102, 112)(103, 113)(104, 114)(105, 115)(106, 116)(107, 117)(108,
118)(109, 119)(110, 120)(121, 131)(122, 132)(123, 133)(124, 134)(125, 135)(126,
136)(127, 137)(128, 138)(129, 139)(130, 140)(141, 151)(142, 152)(143, 153)(144,
154)(145, 155)(146, 156)(147, 157)(148, 158)(149, 159)(150, 160)(161, 163)(162,
164)(165, 167)(166, 168)(169, 171)(170, 172)(173, 175)(174, 176)(177, 182)(178,
181)(179, 184)(180, 183)(185, 190)(186, 189)(187, 192)(188, 191)(193, 203)(194,
204)(195, 201)(196, 202)(197, 207)(198, 208)(199, 205)(200, 206)(209, 213)(210,
214)(211, 215)(212, 216)(217, 221)(218, 222)(219, 223)(220, 224)(225, 234)(226,
233)(227, 236)(228, 235)(229, 238)(230, 237)(231, 240)(232, 239)(241, 251)(242,
252)(243, 253)(244, 254)(245, 255)(246, 256)(247, 257)(248, 258)(249, 259)(250,
260)(261, 271)(262, 272)(263, 273)(264, 274)(265, 275)(266, 276)(267, 277)(268,
278)(269, 279)(270, 280)(281, 291)(282, 292)(283, 293)(284, 294)(285, 295)(286,
296)(287, 297)(288, 298)(289, 299)(290, 300)(301, 311)(302, 312)(303, 313)(304,
314)(305, 315)(306, 316)(307, 317)(308, 318)(309, 319)(310, 320)(321, 323)(322,
324)(325, 327)(326, 328)(329, 331)(330, 332)(333, 335)(334, 336)(337, 342)(338,
341)(339, 344)(340, 343)(345, 350)(346, 349)(347, 352)(348, 351)(353, 363)(354,
364)(355, 361)(356, 362)(357, 367)(358, 368)(359, 365)(360, 366)(369, 373)(370,
374)(371, 375)(372, 376)(377, 381)(378, 382)(379, 383)(380, 384)(385, 394)(386,
393)(387, 396)(388, 395)(389, 398)(390, 397)(391, 400)(392, 399)(401, 411)(402,
412)(403, 413)(404, 414)(405, 415)(406, 416)(407, 417)(408, 418)(409, 419)(410,
420)(421, 431)(422, 432)(423, 433)(424, 434)(425, 435)(426, 436)(427, 437)(428,
438)(429, 439)(430, 440)(441, 451)(442, 452)(443, 453)(444, 454)(445, 455)(446,
456)(447, 457)(448, 458)(449, 459)(450, 460)(461, 471)(462, 472)(463, 473)(464,
474)(465, 475)(466, 476)(467, 477)(468, 478)(469, 479)(470, 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: (1, 17, 33, 49, 65)(2, 18, 34, 50, 66)(3, 19, 35, 51, 67)(4, 20, 36, 52,
68)(5, 21, 37, 53, 69)(6, 22, 38, 54, 70)(7, 23, 39, 55, 71)(8, 24, 40, 56,
72)(9, 25, 41, 57, 73)(10, 26, 42, 58, 74)(11, 27, 43, 59, 75)(12, 28, 44, 60,
76)(13, 29, 45, 61, 77)(14, 30, 46, 62, 78)(15, 31, 47, 63, 79)(16, 32, 48, 64,
80)(81, 82, 83, 84, 85)(86, 122, 143, 114, 100)(87, 123, 144, 115, 96)(88, 124,
145, 111, 97)(89, 125, 141, 112, 98)(90, 121, 142, 113, 99)(91, 127, 103, 134,
110)(92, 128, 104, 135, 106)(93, 129, 105, 131, 107)(94, 130, 101, 132, 108)(95,
126, 102, 133, 109)(116, 137, 148, 154, 160)(117, 138, 149, 155, 156)(118, 139,
150, 151, 157)(119, 140, 146, 152, 158)(120, 136, 147, 153, 159)(161, 177, 193,
209, 225)(162, 178, 194, 210, 226)(163, 179, 195, 211, 227)(164, 180, 196, 212,
228)(165, 181, 197, 213, 229)(166, 182, 198, 214, 230)(167, 183, 199, 215,
231)(168, 184, 200, 216, 232)(169, 185, 201, 217, 233)(170, 186, 202, 218,
234)(171, 187, 203, 219, 235)(172, 188, 204, 220, 236)(173, 189, 205, 221,
237)(174, 190, 206, 222, 238)(175, 191, 207, 223, 239)(176, 192, 208, 224,
240)(241, 242, 243, 244, 245)(246, 282, 303, 274, 260)(247, 283, 304, 275,
256)(248, 284, 305, 271, 257)(249, 285, 301, 272, 258)(250, 281, 302, 273,
259)(251, 287, 263, 294, 270)(252, 288, 264, 295, 266)(253, 289, 265, 291,
267)(254, 290, 261, 292, 268)(255, 286, 262, 293, 269)(276, 297, 308, 314,
320)(277, 298, 309, 315, 316)(278, 299, 310, 311, 317)(279, 300, 306, 312,
318)(280, 296, 307, 313, 319)(321, 337, 353, 369, 385)(322, 338, 354, 370,
386)(323, 339, 355, 371, 387)(324, 340, 356, 372, 388)(325, 341, 357, 373,
389)(326, 342, 358, 374, 390)(327, 343, 359, 375, 391)(328, 344, 360, 376,
392)(329, 345, 361, 377, 393)(330, 346, 362, 378, 394)(331, 347, 363, 379,
395)(332, 348, 364, 380, 396)(333, 349, 365, 381, 397)(334, 350, 366, 382,
398)(335, 351, 367, 383, 399)(336, 352, 368, 384, 400)(401, 402, 403, 404,
405)(406, 442, 463, 434, 420)(407, 443, 464, 435, 416)(408, 444, 465, 431,
417)(409, 445, 461, 432, 418)(410, 441, 462, 433, 419)(411, 447, 423, 454,
430)(412, 448, 424, 455, 426)(413, 449, 425, 451, 427)(414, 450, 421, 452,
428)(415, 446, 422, 453, 429)(436, 457, 468, 474, 480)(437, 458, 469, 475,
476)(438, 459, 470, 471, 477)(439, 460, 466, 472, 478)(440, 456, 467, 473,
479)
c: (1, 171)(2, 172)(3, 169)(4, 170)(5, 175)(6, 176)(7, 173)(8, 174)(9, 163)(10,
164)(11, 161)(12, 162)(13, 167)(14, 168)(15, 165)(16, 166)(17, 182)(18, 181)(19,
184)(20, 183)(21, 178)(22, 177)(23, 180)(24, 179)(25, 190)(26, 189)(27, 192)(28,
191)(29, 186)(30, 185)(31, 188)(32, 187)(33, 204)(34, 203)(35, 202)(36, 201)(37,
208)(38, 207)(39, 206)(40, 205)(41, 196)(42, 195)(43, 194)(44, 193)(45, 200)(46,
199)(47, 198)(48, 197)(49, 215)(50, 216)(51, 213)(52, 214)(53, 211)(54, 212)(55,
209)(56, 210)(57, 223)(58, 224)(59, 221)(60, 222)(61, 219)(62, 220)(63, 217)(64,
218)(65, 238)(66, 237)(67, 240)(68, 239)(69, 234)(70, 233)(71, 236)(72, 235)(73,
230)(74, 229)(75, 232)(76, 231)(77, 226)(78, 225)(79, 228)(80, 227)(82, 117)(83,
143)(84, 89)(85, 160)(87, 112)(88, 148)(90, 155)(92, 107)(93, 153)(94, 99)(95,
150)(97, 102)(98, 158)(100, 145)(103, 123)(104, 109)(105, 140)(108, 128)(110,
135)(113, 133)(114, 119)(115, 130)(118, 138)(120, 125)(122, 157)(124, 129)(127,
152)(132, 147)(134, 139)(137, 142)(144, 149)(154, 159)(241, 401)(242, 437)(243,
463)(244, 409)(245, 480)(246, 406)(247, 432)(248, 468)(249, 404)(250, 475)(251,
411)(252, 427)(253, 473)(254, 419)(255, 470)(256, 416)(257, 422)(258, 478)(259,
414)(260, 465)(261, 421)(262, 417)(263, 443)(264, 429)(265, 460)(266, 426)(267,
412)(268, 448)(269, 424)(270, 455)(271, 431)(272, 407)(273, 453)(274, 439)(275,
450)(276, 436)(277, 402)(278, 458)(279, 434)(280, 445)(281, 441)(282, 477)(283,
423)(284, 449)(285, 440)(286, 446)(287, 472)(288, 428)(289, 444)(290, 435)(291,
451)(292, 467)(293, 433)(294, 459)(295, 430)(296, 456)(297, 462)(298, 438)(299,
454)(300, 425)(301, 461)(302, 457)(303, 403)(304, 469)(305, 420)(306, 466)(307,
452)(308, 408)(309, 464)(310, 415)(311, 471)(312, 447)(313, 413)(314, 479)(315,
410)(316, 476)(317, 442)(318, 418)(319, 474)(320, 405)(321, 331)(322, 332)(323,
329)(324, 330)(325, 335)(326, 336)(327, 333)(328, 334)(337, 342)(338, 341)(339,
344)(340, 343)(345, 350)(346, 349)(347, 352)(348, 351)(353, 364)(354, 363)(355,
362)(356, 361)(357, 368)(358, 367)(359, 366)(360, 365)(369, 375)(370, 376)(371,
373)(372, 374)(377, 383)(378, 384)(379, 381)(380, 382)(385, 398)(386, 397)(387,
400)(388, 399)(389, 394)(390, 393)(391, 396)(392, 395)
d: (17, 18)(19, 20)(21, 22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 35)(34,
36)(37, 39)(38, 40)(41, 43)(42, 44)(45, 47)(46, 48)(49, 53)(50, 54)(51, 55)(52,
56)(57, 61)(58, 62)(59, 63)(60, 64)(65, 73)(66, 74)(67, 75)(68, 76)(69, 77)(70,
78)(71, 79)(72, 80)(81, 451)(82, 467)(83, 433)(84, 459)(85, 430)(86, 456)(87,
462)(88, 438)(89, 454)(90, 425)(91, 441)(92, 477)(93, 423)(94, 449)(95, 440)(96,
446)(97, 472)(98, 428)(99, 444)(100, 435)(101, 471)(102, 447)(103, 413)(104,
479)(105, 410)(106, 476)(107, 442)(108, 418)(109, 474)(110, 405)(111, 461)(112,
457)(113, 403)(114, 469)(115, 420)(116, 466)(117, 452)(118, 408)(119, 464)(120,
415)(121, 411)(122, 427)(123, 473)(124, 419)(125, 470)(126, 416)(127, 422)(128,
478)(129, 414)(130, 465)(131, 401)(132, 437)(133, 463)(134, 409)(135, 480)(136,
406)(137, 432)(138, 468)(139, 404)(140, 475)(141, 431)(142, 407)(143, 453)(144,
439)(145, 450)(146, 436)(147, 402)(148, 458)(149, 434)(150, 445)(151, 421)(152,
417)(153, 443)(154, 429)(155, 460)(156, 426)(157, 412)(158, 448)(159, 424)(160,
455)(161, 321)(162, 322)(163, 323)(164, 324)(165, 325)(166, 326)(167, 327)(168,
328)(169, 329)(170, 330)(171, 331)(172, 332)(173, 333)(174, 334)(175, 335)(176,
336)(177, 338)(178, 337)(179, 340)(180, 339)(181, 342)(182, 341)(183, 344)(184,
343)(185, 346)(186, 345)(187, 348)(188, 347)(189, 350)(190, 349)(191, 352)(192,
351)(193, 355)(194, 356)(195, 353)(196, 354)(197, 359)(198, 360)(199, 357)(200,
358)(201, 363)(202, 364)(203, 361)(204, 362)(205, 367)(206, 368)(207, 365)(208,
366)(209, 373)(210, 374)(211, 375)(212, 376)(213, 369)(214, 370)(215, 371)(216,
372)(217, 381)(218, 382)(219, 383)(220, 384)(221, 377)(222, 378)(223, 379)(224,
380)(225, 393)(226, 394)(227, 395)(228, 396)(229, 397)(230, 398)(231, 399)(232,
400)(233, 385)(234, 386)(235, 387)(236, 388)(237, 389)(238, 390)(239, 391)(240,
392)(241, 291)(242, 307)(243, 273)(244, 299)(245, 270)(246, 296)(247, 302)(248,
278)(249, 294)(250, 265)(251, 281)(252, 317)(253, 263)(254, 289)(255, 280)(256,
286)(257, 312)(258, 268)(259, 284)(260, 275)(261, 311)(262, 287)(264, 319)(266,
316)(267, 282)(269, 314)(271, 301)(272, 297)(274, 309)(276, 306)(277, 292)(279,
304)(283, 313)(285, 310)(288, 318)(290, 305)(293, 303)(295, 320)(298, 308)(300,
315)
e: (2, 9)(3, 5)(4, 13)(6, 11)(8, 15)(12, 14)(17, 73)(18, 65)(19, 77)(20, 69)(21,
75)(22, 67)(23, 79)(24, 71)(25, 74)(26, 66)(27, 78)(28, 70)(29, 76)(30, 68)(31,
80)(32, 72)(33, 53)(34, 61)(35, 49)(36, 57)(37, 55)(38, 63)(39, 51)(40, 59)(41,
54)(42, 62)(43, 50)(44, 58)(45, 56)(46, 64)(47, 52)(48, 60)(81, 430)(82,
459)(83, 433)(84, 467)(85, 451)(86, 470)(87, 419)(88, 473)(89, 427)(90, 411)(91,
410)(92, 479)(93, 413)(94, 447)(95, 471)(96, 450)(97, 439)(98, 453)(99,
407)(100, 431)(101, 440)(102, 449)(103, 423)(104, 477)(105, 441)(106, 480)(107,
409)(108, 463)(109, 437)(110, 401)(111, 420)(112, 469)(113, 403)(114, 457)(115,
461)(116, 460)(117, 429)(118, 443)(119, 417)(120, 421)(121, 425)(122, 454)(123,
438)(124, 462)(125, 456)(126, 465)(127, 414)(128, 478)(129, 422)(130, 416)(131,
405)(132, 474)(133, 418)(134, 442)(135, 476)(136, 445)(137, 434)(138, 458)(139,
402)(140, 436)(141, 435)(142, 444)(143, 428)(144, 472)(145, 446)(146, 475)(147,
404)(148, 468)(149, 432)(150, 406)(151, 415)(152, 464)(153, 408)(154, 452)(155,
466)(156, 455)(157, 424)(158, 448)(159, 412)(160, 426)(161, 321)(162, 329)(163,
325)(164, 333)(165, 323)(166, 331)(167, 327)(168, 335)(169, 322)(170, 330)(171,
326)(172, 334)(173, 324)(174, 332)(175, 328)(176, 336)(177, 393)(178, 385)(179,
397)(180, 389)(181, 395)(182, 387)(183, 399)(184, 391)(185, 394)(186, 386)(187,
398)(188, 390)(189, 396)(190, 388)(191, 400)(192, 392)(193, 373)(194, 381)(195,
369)(196, 377)(197, 375)(198, 383)(199, 371)(200, 379)(201, 374)(202, 382)(203,
370)(204, 378)(205, 376)(206, 384)(207, 372)(208, 380)(209, 355)(210, 363)(211,
359)(212, 367)(213, 353)(214, 361)(215, 357)(216, 365)(217, 356)(218, 364)(219,
360)(220, 368)(221, 354)(222, 362)(223, 358)(224, 366)(225, 338)(226, 346)(227,
342)(228, 350)(229, 340)(230, 348)(231, 344)(232, 352)(233, 337)(234, 345)(235,
341)(236, 349)(237, 339)(238, 347)(239, 343)(240, 351)(241, 270)(242, 299)(243,
273)(244, 307)(245, 291)(246, 310)(247, 259)(248, 313)(249, 267)(250, 251)(252,
319)(254, 287)(255, 311)(256, 290)(257, 279)(258, 293)(260, 271)(261, 280)(262,
289)(264, 317)(265, 281)(266, 320)(268, 303)(269, 277)(272, 309)(274, 297)(275,
301)(276, 300)(278, 283)(282, 294)(284, 302)(285, 296)(286, 305)(288, 318)(292,
314)(295, 316)(304, 312)(306, 315)
f: (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 20)(18, 19)(21,
24)(22, 23)(25, 28)(26, 27)(29, 32)(30, 31)(33, 39)(34, 40)(35, 37)(36, 38)(41,
47)(42, 48)(43, 45)(44, 46)(49, 61)(50, 62)(51, 63)(52, 64)(53, 57)(54, 58)(55,
59)(56, 60)(65, 73)(66, 74)(67, 75)(68, 76)(69, 77)(70, 78)(71, 79)(72, 80)(81,
86)(82, 87)(83, 88)(84, 89)(85, 90)(91, 96)(92, 97)(93, 98)(94, 99)(95,
100)(101, 106)(102, 107)(103, 108)(104, 109)(105, 110)(111, 116)(112, 117)(113,
118)(114, 119)(115, 120)(121, 126)(122, 127)(123, 128)(124, 129)(125, 130)(131,
136)(132, 137)(133, 138)(134, 139)(135, 140)(141, 146)(142, 147)(143, 148)(144,
149)(145, 150)(151, 156)(152, 157)(153, 158)(154, 159)(155, 160)(161, 162)(163,
164)(165, 166)(167, 168)(169, 170)(171, 172)(173, 174)(175, 176)(177, 180)(178,
179)(181, 184)(182, 183)(185, 188)(186, 187)(189, 192)(190, 191)(193, 199)(194,
200)(195, 197)(196, 198)(201, 207)(202, 208)(203, 205)(204, 206)(209, 221)(210,
222)(211, 223)(212, 224)(213, 217)(214, 218)(215, 219)(216, 220)(225, 233)(226,
234)(227, 235)(228, 236)(229, 237)(230, 238)(231, 239)(232, 240)(241, 246)(242,
247)(243, 248)(244, 249)(245, 250)(251, 256)(252, 257)(253, 258)(254, 259)(255,
260)(261, 266)(262, 267)(263, 268)(264, 269)(265, 270)(271, 276)(272, 277)(273,
278)(274, 279)(275, 280)(281, 286)(282, 287)(283, 288)(284, 289)(285, 290)(291,
296)(292, 297)(293, 298)(294, 299)(295, 300)(301, 306)(302, 307)(303, 308)(304,
309)(305, 310)(311, 316)(312, 317)(313, 318)(314, 319)(315, 320)(321, 322)(323,
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382)(371, 383)(372, 384)(373, 377)(374, 378)(375, 379)(376, 380)(385, 393)(386,
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420)(421, 426)(422, 427)(423, 428)(424, 429)(425, 430)(431, 436)(432, 437)(433,
438)(434, 439)(435, 440)(441, 446)(442, 447)(443, 448)(444, 449)(445, 450)(451,
456)(452, 457)(453, 458)(454, 459)(455, 460)(461, 466)(462, 467)(463, 468)(464,
469)(465, 470)(471, 476)(472, 477)(473, 478)(474, 479)(475, 480)
C4[ 480, 430 ]
480
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0