Graph forms
for C4 [ 512, 303 ] = UG(ATD[512,721])
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On this page are computer-accessible forms for the graph C4[ 512, 303 ] =
UG(ATD[512,721]).
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {224, 226}, {400, 402}, {352, 357}, {16, 23}, {400, 407}, {224,
231}, {1, 17}, {165, 181}, {175, 190}, {142, 156}, {13, 30}, {139, 152}, {169,
186}, {136, 156}, {390, 403}, {460, 473}, {394, 415}, {164, 178}, {165, 179},
{169, 191}, {175, 184}, {456, 479}, {133, 157}, {138, 146}, {7, 30}, {130, 152},
{461, 471}, {394, 406}, {450, 478}, {6, 27}, {387, 414}, {143, 146}, {12, 17},
{9, 23}, {456, 470}, {450, 476}, {131, 157}, {4, 27}, {461, 466}, {460, 467},
{390, 409}, {387, 412}, {164, 187}, {1, 33}, {325, 357}, {277, 309}, {286, 319},
{14, 45}, {329, 362}, {282, 313}, {274, 308}, {287, 313}, {275, 309}, {16, 55},
{335, 360}, {280, 319}, {14, 39}, {324, 365}, {64, 106}, {1, 44}, {329, 356},
{11, 38}, {7, 41}, {335, 353}, {11, 36}, {324, 363}, {283, 308}, {1, 49}, {463,
511}, {341, 357}, {10, 59}, {393, 440}, {5, 55}, {349, 367}, {13, 62}, {399,
444}, {346, 361}, {347, 367}, {11, 62}, {337, 356}, {325, 368}, {214, 227},
{218, 239}, {7, 48}, {451, 500}, {8, 49}, {460, 501}, {454, 511}, {390, 444},
{391, 445}, {64, 123}, {462, 501}, {450, 505}, {387, 440}, {218, 230}, {398,
434}, {344, 356}, {64, 125}, {457, 500}, {340, 361}, {211, 238}, {396, 434},
{455, 505}, {4, 59}, {386, 445}, {211, 236}, {214, 233}, {140, 204}, {51, 113},
{275, 337}, {142, 204}, {54, 116}, {171, 232}, {134, 194}, {404, 464}, {137,
205}, {168, 236}, {173, 232}, {164, 226}, {32, 103}, {48, 119}, {39, 96}, {165,
237}, {170, 226}, {130, 200}, {51, 120}, {315, 368}, {59, 112}, {54, 122}, {282,
342}, {61, 112}, {161, 236}, {143, 194}, {131, 205}, {282, 340}, {58, 117},
{278, 345}, {275, 348}, {135, 200}, {17, 65}, {33, 113}, {42, 123}, {409, 456},
{404, 453}, {311, 358}, {37, 119}, {318, 364}, {315, 361}, {282, 328}, {52,
102}, {49, 99}, {29, 78}, {311, 356}, {45, 126}, {43, 126}, {415, 458}, {280,
333}, {305, 359}, {405, 461}, {409, 449}, {23, 78}, {283, 322}, {277, 332}, {40,
113}, {56, 99}, {415, 452}, {58, 102}, {305, 365}, {276, 328}, {273, 333}, {22,
75}, {28, 65}, {176, 237}, {25, 71}, {405, 459}, {20, 75}, {318, 353}, {285,
322}, {53, 106}, {36, 123}, {420, 452}, {427, 457}, {31, 123}, {429, 457}, {417,
453}, {384, 484}, {32, 71}, {20, 126}, {421, 463}, {25, 115}, {21, 127}, {128,
235}, {20, 120}, {288, 332}, {25, 117}, {31, 114}, {424, 453}, {128, 237}, {426,
452}, {21, 122}, {17, 97}, {33, 81}, {26, 107}, {21, 103}, {399, 509}, {29,
110}, {46, 93}, {59, 79}, {27, 110}, {388, 497}, {134, 243}, {278, 352}, {129,
246}, {288, 343}, {141, 250}, {132, 243}, {388, 508}, {399, 503}, {24, 97}, {46,
87}, {51, 73}, {140, 246}, {63, 69}, {62, 68}, {53, 73}, {389, 505}, {56, 68},
{33, 92}, {393, 500}, {288, 349}, {135, 250}, {50, 79}, {43, 86}, {39, 89}, {20,
107}, {432, 463}, {393, 502}, {58, 69}, {43, 84}, {44, 172}, {65, 193}, {74,
203}, {336, 465}, {69, 199}, {343, 469}, {342, 468}, {77, 206}, {307, 432}, {34,
166}, {45, 169}, {40, 173}, {348, 473}, {75, 206}, {34, 164}, {345, 479}, {96,
231}, {350, 473}, {338, 469}, {112, 247}, {336, 472}, {72, 193}, {122, 240},
{299, 416}, {351, 468}, {339, 479}, {44, 161}, {40, 167}, {68, 203}, {97, 241},
{299, 442}, {310, 423}, {115, 225}, {375, 485}, {326, 468}, {118, 228}, {109,
254}, {27, 143}, {380, 489}, {314, 428}, {80, 199}, {87, 192}, {290, 442}, {381,
485}, {369, 489}, {323, 475}, {302, 438}, {103, 254}, {374, 495}, {298, 435},
{19, 137}, {307, 425}, {31, 133}, {30, 132}, {115, 232}, {372, 495}, {314, 417},
{310, 429}, {21, 137}, {326, 474}, {303, 435}, {118, 234}, {24, 132}, {18, 143},
{377, 484}, {108, 241}, {102, 251}, {45, 176}, {105, 247}, {323, 477}, {296,
438}, {26, 133}, {330, 469}, {122, 229}, {100, 251}, {97, 195}, {100, 198},
{315, 408}, {312, 412}, {367, 459}, {355, 455}, {317, 408}, {308, 402}, {309,
413}, {314, 402}, {272, 441}, {359, 462}, {330, 480}, {104, 195}, {106, 198},
{354, 462}, {305, 412}, {364, 449}, {358, 459}, {361, 455}, {101, 202}, {366,
449}, {49, 129}, {326, 502}, {256, 432}, {81, 225}, {90, 235}, {322, 499}, {295,
406}, {85, 231}, {341, 487}, {340, 486}, {302, 412}, {299, 409}, {61, 142},
{329, 506}, {295, 404}, {93, 238}, {75, 255}, {327, 499}, {91, 238}, {345, 492},
{259, 438}, {289, 407}, {351, 489}, {259, 436}, {345, 494}, {341, 482}, {266,
445}, {262, 433}, {55, 142}, {335, 502}, {323, 506}, {88, 225}, {58, 128}, {262,
444}, {112, 202}, {79, 245}, {78, 244}, {67, 249}, {107, 208}, {340, 495}, {69,
249}, {351, 483}, {289, 413}, {72, 244}, {54, 139}, {381, 448}, {266, 439},
{109, 208}, {66, 255}, {60, 129}, {57, 135}, {52, 139}, {302, 401}, {84, 235},
{74, 245}, {376, 440}, {380, 445}, {19, 209}, {274, 464}, {22, 212}, {310, 498},
{316, 504}, {313, 509}, {318, 504}, {370, 436}, {336, 406}, {64, 135}, {380,
443}, {279, 464}, {80, 151}, {370, 442}, {381, 437}, {376, 433}, {19, 216},
{311, 508}, {22, 218}, {319, 498}, {306, 508}, {307, 509}, {26, 213}, {65, 145},
{330, 410}, {290, 498}, {278, 454}, {272, 448}, {301, 508}, {77, 158}, {325,
406}, {301, 510}, {281, 458}, {290, 503}, {300, 505}, {256, 471}, {296, 511},
{331, 403}, {71, 158}, {287, 454}, {275, 458}, {70, 155}, {320, 413}, {286,
451}, {76, 145}, {73, 151}, {333, 403}, {324, 410}, {296, 502}, {68, 155}, {300,
499}, {284, 451}, {81, 177}, {306, 466}, {257, 481}, {266, 491}, {334, 431},
{321, 416}, {261, 487}, {321, 419}, {94, 189}, {317, 478}, {316, 479}, {291,
448}, {269, 494}, {15, 235}, {320, 420}, {63, 219}, {267, 494}, {317, 472},
{293, 448}, {316, 474}, {320, 422}, {321, 425}, {334, 422}, {328, 416}, {94,
183}, {331, 418}, {327, 430}, {306, 475}, {264, 481}, {4, 238}, {57, 211}, {53,
223}, {52, 222}, {9, 227}, {5, 239}, {312, 467}, {327, 428}, {4, 232}, {331,
423}, {57, 213}, {52, 216}, {9, 229}, {15, 226}, {312, 469}, {91, 182}, {81,
188}, {63, 210}, {87, 185}, {5, 234}, {260, 491}, {91, 180}, {53, 218}, {38,
215}, {41, 219}, {346, 424}, {107, 159}, {347, 429}, {272, 487}, {351, 424},
{35, 219}, {47, 215}, {39, 222}, {341, 428}, {26, 224}, {344, 418}, {111, 149},
{110, 148}, {99, 153}, {32, 219}, {34, 222}, {350, 418}, {104, 148}, {101, 153},
{32, 221}, {98, 159}, {44, 209}, {46, 209}, {339, 428}, {338, 429}, {106, 149},
{11, 271}, {115, 374}, {127, 378}, {102, 352}, {3, 265}, {15, 261}, {14, 260},
{5, 265}, {118, 378}, {8, 260}, {2, 271}, {126, 371}, {10, 261}, {124, 371},
{121, 374}, {111, 352}, {76, 348}, {85, 325}, {195, 467}, {95, 334}, {199, 470},
{78, 348}, {188, 430}, {248, 490}, {89, 330}, {184, 427}, {70, 338}, {111, 379},
{73, 349}, {188, 424}, {194, 470}, {206, 474}, {239, 507}, {84, 322}, {253,
491}, {89, 335}, {85, 323}, {204, 474}, {95, 328}, {192, 471}, {248, 495}, {178,
426}, {189, 421}, {252, 485}, {66, 344}, {105, 371}, {101, 383}, {100, 382},
{184, 418}, {201, 467}, {228, 510}, {229, 511}, {233, 499}, {242, 488}, {100,
376}, {105, 373}, {228, 504}, {233, 501}, {242, 494}, {79, 338}, {111, 370},
{93, 320}, {178, 431}, {192, 477}, {239, 498}, {67, 349}, {189, 419}, {71, 344},
{253, 482}, {252, 483}, {101, 378}, {84, 331}, {229, 506}, {12, 300}, {177,
401}, {197, 485}, {241, 465}, {186, 411}, {250, 475}, {181, 407}, {207, 493},
{245, 471}, {189, 414}, {253, 478}, {201, 490}, {2, 294}, {13, 297}, {166, 386},
{169, 397}, {172, 392}, {207, 491}, {8, 301}, {187, 414}, {196, 481}, {251,
478}, {2, 292}, {174, 392}, {198, 480}, {184, 401}, {248, 465}, {80, 379}, {167,
396}, {196, 488}, {12, 289}, {80, 381}, {175, 386}, {201, 484}, {162, 396},
{163, 397}, {8, 295}, {180, 411}, {207, 480}, {244, 475}, {99, 339}, {103, 342},
{67, 369}, {70, 372}, {98, 342}, {155, 431}, {110, 346}, {197, 496}, {108, 346},
{105, 339}, {159, 421}, {158, 420}, {147, 425}, {67, 376}, {70, 378}, {152,
420}, {149, 425}, {13, 304}, {146, 431}, {74, 373}, {154, 421}, {156, 476},
{182, 503}, {76, 270}, {158, 476}, {185, 507}, {72, 267}, {76, 264}, {153, 477},
{150, 466}, {213, 400}, {160, 487}, {240, 439}, {66, 266}, {77, 261}, {179,
507}, {191, 503}, {183, 510}, {249, 432}, {72, 258}, {146, 472}, {234, 416},
{178, 510}, {66, 271}, {160, 493}, {159, 466}, {125, 304}, {188, 497}, {77,
259}, {147, 477}, {151, 472}, {190, 497}, {225, 433}, {223, 397}, {120, 299},
{237, 446}, {124, 296}, {120, 301}, {212, 385}, {246, 419}, {114, 292}, {182,
480}, {192, 407}, {253, 426}, {241, 422}, {244, 419}, {114, 298}, {125, 293},
{212, 396}, {223, 391}, {231, 446}, {252, 422}, {213, 393}, {124, 289}, {217,
388}, {230, 443}, {236, 433}, {247, 426}, {233, 439}, {217, 390}, {228, 443},
{92, 316}, {108, 268}, {172, 460}, {193, 417}, {108, 270}, {179, 465}, {205,
430}, {82, 310}, {162, 454}, {109, 265}, {98, 262}, {93, 313}, {173, 457}, {88,
317}, {168, 461}, {82, 308}, {162, 452}, {150, 496}, {199, 430}, {104, 258},
{240, 411}, {186, 470}, {92, 305}, {98, 271}, {172, 449}, {198, 427}, {204,
417}, {240, 413}, {109, 259}, {186, 468}, {201, 423}, {88, 311}, {104, 263},
{168, 455}, {179, 476}, {182, 473}, {196, 427}, {85, 293}, {113, 257}, {6, 375},
{94, 303}, {9, 379}, {147, 481}, {227, 401}, {230, 404}, {90, 297}, {125, 270},
{82, 292}, {95, 297}, {83, 293}, {88, 303}, {208, 423}, {3, 379}, {15, 375}, {7,
382}, {119, 270}, {227, 408}, {2, 382}, {154, 486}, {230, 410}, {12, 369}, {124,
257}, {118, 267}, {173, 464}, {121, 263}, {154, 484}, {14, 369}, {150, 489},
{147, 492}, {116, 267}, {91, 292}, {234, 405}, {60, 444}, {145, 273}, {144,
272}, {163, 291}, {3, 385}, {60, 446}, {6, 388}, {168, 298}, {157, 286}, {50,
438}, {162, 294}, {61, 441}, {174, 298}, {131, 262}, {165, 291}, {128, 263},
{138, 269}, {134, 257}, {131, 260}, {137, 256}, {151, 286}, {56, 434}, {134,
268}, {176, 314}, {3, 392}, {6, 394}, {50, 447}, {156, 273}, {150, 283}, {138,
263}, {171, 294}, {61, 435}, {153, 279}, {10, 389}, {148, 283}, {56, 439}, {176,
319}, {83, 451}, {144, 256}, {163, 307}, {252, 364}, {90, 456}, {254, 364},
{170, 312}, {43, 447}, {90, 462}, {86, 450}, {166, 306}, {170, 318}, {246, 354},
{249, 365}, {224, 373}, {83, 453}, {163, 309}, {183, 288}, {144, 265}, {10,
400}, {47, 437}, {46, 436}, {35, 441}, {170, 304}, {242, 360}, {16, 395}, {37,
441}, {40, 436}, {16, 397}, {255, 354}, {86, 459}, {34, 447}, {166, 315}, {243,
365}, {42, 437}, {175, 304}, {247, 360}, {177, 273}, {28, 446}, {193, 355},
{196, 358}, {221, 383}, {24, 443}, {190, 285}, {28, 440}, {209, 372}, {18, 442},
{29, 437}, {215, 383}, {220, 372}, {190, 279}, {24, 434}, {96, 458}, {200, 355},
{202, 358}, {217, 373}, {18, 447}, {177, 284}, {187, 278}, {212, 377}, {29,
435}, {183, 281}, {96, 463}, {187, 276}, {197, 362}, {214, 377}, {47, 411},
{160, 279}, {36, 414}, {41, 403}, {37, 415}, {208, 362}, {203, 368}, {36, 408},
{41, 405}, {47, 402}, {205, 368}, {37, 410}, {54, 496}, {144, 343}, {160, 359},
{74, 384}, {48, 507}, {48, 509}, {63, 496}, {51, 483}, {129, 337}, {55, 486},
{138, 347}, {86, 391}, {217, 264}, {35, 497}, {133, 343}, {89, 395}, {38, 500},
{141, 350}, {223, 268}, {50, 486}, {62, 490}, {191, 363}, {203, 287}, {139,
350}, {60, 490}, {83, 395}, {95, 391}, {87, 398}, {136, 337}, {57, 483}, {180,
366}, {181, 367}, {185, 355}, {195, 281}, {206, 276}, {207, 277}, {214, 268},
{215, 269}, {35, 504}, {211, 264}, {38, 506}, {82, 398}, {180, 360}, {185, 357},
{197, 281}, {200, 276}, {222, 258}, {92, 385}, {191, 354}, {194, 287}, {220,
258}, {42, 501}, {132, 347}, {94, 385}, {181, 362}, {202, 277}, {210, 269},
{161, 321}, {254, 284}, {174, 333}, {251, 280}, {248, 284}, {245, 285}, {250,
274}, {174, 327}, {242, 280}, {161, 332}, {255, 274}, {171, 326}, {167, 329},
{243, 285}, {171, 324}, {28, 492}, {145, 353}, {136, 377}, {154, 363}, {30,
492}, {149, 359}, {114, 384}, {140, 383}, {157, 366}, {22, 482}, {127, 395},
{25, 493}, {210, 294}, {216, 300}, {221, 297}, {155, 366}, {216, 302}, {119,
384}, {167, 336}, {152, 353}, {18, 488}, {141, 375}, {140, 374}, {121, 387},
{117, 399}, {116, 398}, {136, 371}, {220, 295}, {116, 392}, {130, 382}, {121,
389}, {31, 482}, {127, 386}, {210, 303}, {19, 493}, {130, 380}, {220, 290},
{221, 291}, {23, 488}, {148, 363}, {141, 370}, {117, 394}, {42, 512}, {332,
512}, {334, 512}, {389, 512} }>;
(II) A more general form is to represent the graph as the orbit of {224, 226}
under the group generated by the following permutations:
a: (1, 5, 2, 6)(3, 7, 4, 8)(9, 13, 10, 14)(11, 15, 12, 16)(17, 55, 271, 375)(18,
56, 272, 376)(19, 53, 269, 373)(20, 54, 270, 374)(21, 64, 263, 371)(22, 63, 264,
372)(23, 62, 261, 369)(24, 61, 262, 370)(25, 51, 267, 384)(26, 52, 268, 383)(27,
49, 265, 382)(28, 50, 266, 381)(29, 60, 259, 380)(30, 59, 260, 379)(31, 58, 257,
378)(32, 57, 258, 377)(33, 234, 292, 394)(34, 233, 291, 393)(35, 236, 290,
396)(36, 235, 289, 395)(37, 225, 299, 398)(38, 226, 300, 397)(39, 227, 297,
400)(40, 228, 298, 399)(41, 238, 295, 385)(42, 237, 296, 386)(43, 240, 293,
387)(44, 239, 294, 388)(45, 229, 304, 389)(46, 230, 303, 390)(47, 231, 302,
391)(48, 232, 301, 392)(65, 486, 66, 485)(67, 488, 68, 487)(69, 481, 70,
482)(71, 483, 72, 484)(73, 494, 74, 493)(75, 496, 76, 495)(77, 489, 78, 490)(79,
491, 80, 492)(81, 416, 82, 415)(83, 414, 84, 413)(85, 412, 86, 411)(87, 410, 88,
409)(89, 408, 90, 407)(91, 406, 92, 405)(93, 404, 94, 403)(95, 402, 96, 401)(97,
142, 98, 141)(99, 144, 100, 143)(101, 133, 102, 134)(103, 135, 104, 136)(105,
137, 106, 138)(107, 139, 108, 140)(109, 130, 110, 129)(111, 132, 112, 131)(113,
118, 114, 117)(115, 120, 116, 119)(121, 126, 122, 125)(123, 128, 124, 127)(145,
340, 255, 197)(146, 339, 256, 198)(147, 338, 253, 199)(148, 337, 254, 200)(149,
347, 247, 205)(150, 348, 248, 206)(151, 345, 245, 207)(152, 346, 246, 208)(153,
343, 251, 194)(154, 344, 252, 193)(155, 341, 249, 196)(156, 342, 250, 195)(157,
352, 243, 202)(158, 351, 244, 201)(159, 350, 241, 204)(160, 349, 242, 203)(161,
498, 162, 497)(163, 500, 164, 499)(165, 502, 166, 501)(167, 504, 168, 503)(169,
506, 170, 505)(171, 508, 172, 507)(173, 510, 174, 509)(175, 512, 176, 511)(177,
328, 308, 458)(178, 327, 307, 457)(179, 326, 306, 460)(180, 325, 305, 459)(181,
335, 315, 462)(182, 336, 316, 461)(183, 333, 313, 464)(184, 334, 314, 463)(185,
324, 311, 449)(186, 323, 312, 450)(187, 322, 309, 451)(188, 321, 310, 452)(189,
331, 320, 453)(190, 332, 319, 454)(191, 329, 318, 455)(192, 330, 317, 456)(209,
218, 210, 217)(211, 220, 212, 219)(213, 222, 214, 221)(215, 224, 216, 223)(273,
282, 274, 281)(275, 284, 276, 283)(277, 286, 278, 285)(279, 288, 280, 287)(353,
361, 354, 362)(355, 363, 356, 364)(357, 365, 358, 366)(359, 367, 360, 368)(417,
421, 418, 422)(419, 423, 420, 424)(425, 429, 426, 430)(427, 431, 428, 432)(433,
442, 434, 441)(435, 444, 436, 443)(437, 446, 438, 445)(439, 448, 440, 447)(465,
474, 466, 473)(467, 476, 468, 475)(469, 478, 470, 477)(471, 480, 472, 479) (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, 448, 446)(2, 4, 447, 445)(5, 125, 444, 113)(6, 126, 443, 114)(7, 211,
442, 223)(8, 212, 441, 224)(9, 221, 440, 209)(10, 222, 439, 210)(11, 115, 438,
127)(12, 116, 437, 128)(13, 433, 436, 16)(14, 434, 435, 15)(17, 392, 381,
237)(18, 391, 382, 238)(19, 229, 383, 387)(20, 230, 384, 388)(21, 38, 374,
302)(22, 37, 373, 301)(23, 297, 376, 46)(24, 298, 375, 45)(25, 296, 378, 36)(26,
295, 377, 35)(27, 43, 380, 292)(28, 44, 379, 291)(29, 235, 369, 398)(30, 236,
370, 397)(31, 394, 371, 228)(32, 393, 372, 227)(33, 265, 293, 60)(34, 266, 294,
59)(39, 56, 303, 261)(40, 55, 304, 262)(41, 57, 290, 268)(42, 58, 289, 267)(47,
263, 300, 54)(48, 264, 299, 53)(49, 385, 272, 231)(50, 386, 271, 232)(51, 239,
270, 390)(52, 240, 269, 389)(61, 226, 260, 396)(62, 225, 259, 395)(63, 400, 258,
233)(64, 399, 257, 234)(65, 172, 80, 165)(66, 171, 79, 166)(67, 87, 78, 90)(68,
88, 77, 89)(69, 407, 72, 501)(70, 408, 71, 502)(73, 507, 76, 409)(74, 508, 75,
410)(81, 109, 83, 490)(82, 110, 84, 489)(85, 129, 92, 144)(86, 130, 91, 143)(93,
488, 95, 100)(94, 487, 96, 99)(97, 174, 485, 176)(98, 173, 486, 175)(101, 414,
493, 511)(102, 413, 494, 512)(103, 500, 495, 401)(104, 499, 496, 402)(105, 510,
482, 415)(106, 509, 481, 416)(107, 404, 484, 497)(108, 403, 483, 498)(111, 163,
492, 161)(112, 164, 491, 162)(117, 124, 118, 123)(119, 217, 120, 218)(121, 216,
122, 215)(131, 167, 142, 170)(132, 168, 141, 169)(133, 406, 136, 504)(134, 405,
135, 503)(137, 506, 140, 412)(138, 505, 139, 411)(145, 449, 151, 179)(146, 450,
152, 180)(147, 321, 149, 307)(148, 322, 150, 308)(153, 189, 160, 463)(154, 190,
159, 464)(155, 317, 158, 335)(156, 318, 157, 336)(177, 254, 451, 248)(178, 253,
452, 247)(181, 193, 460, 199)(182, 194, 459, 200)(183, 341, 458, 339)(184, 342,
457, 340)(185, 348, 456, 349)(186, 347, 455, 350)(187, 207, 454, 202)(188, 208,
453, 201)(191, 243, 461, 250)(192, 244, 462, 249)(195, 327, 197, 314)(196, 328,
198, 313)(203, 311, 206, 330)(204, 312, 205, 329)(213, 220, 214, 219)(241, 333,
252, 319)(242, 334, 251, 320)(245, 306, 255, 324)(246, 305, 256, 323)(273, 364,
286, 465)(274, 363, 285, 466)(275, 479, 288, 357)(276, 480, 287, 358)(277,
278)(279, 421)(280, 422)(281, 428)(282, 427)(309, 345, 332, 352)(310, 346, 331,
351)(315, 344, 326, 338)(316, 343, 325, 337)(353, 366, 472, 476)(354, 365, 471,
475)(355, 473, 470, 367)(356, 474, 469, 368)(359, 432, 477, 419)(360, 431, 478,
420)(361, 418, 468, 429)(362, 417, 467, 430)(423, 424)
c: (1, 17, 65, 145, 273, 177, 81, 33)(2, 18, 66, 146, 274, 178, 82, 34)(3, 19,
67, 147, 275, 179, 83, 35)(4, 20, 68, 148, 276, 180, 84, 36)(5, 21, 69, 149,
277, 181, 85, 37)(6, 22, 70, 150, 278, 182, 86, 38)(7, 23, 71, 151, 279, 183,
87, 39)(8, 24, 72, 152, 280, 184, 88, 40)(9, 25, 73, 153, 281, 185, 89, 41)(10,
26, 74, 154, 282, 186, 90, 42)(11, 27, 75, 155, 283, 187, 91, 43)(12, 28, 76,
156, 284, 188, 92, 44)(13, 29, 77, 157, 285, 189, 93, 45)(14, 30, 78, 158, 286,
190, 94, 46)(15, 31, 79, 159, 287, 191, 95, 47)(16, 32, 80, 160, 288, 192, 96,
48)(49, 97, 193, 353, 333, 401, 225, 113)(50, 98, 194, 354, 334, 402, 226,
114)(51, 99, 195, 355, 335, 403, 227, 115)(52, 100, 196, 356, 336, 404, 228,
116)(53, 101, 197, 357, 330, 405, 229, 117)(54, 102, 198, 358, 329, 406, 230,
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124)(61, 109, 205, 365, 321, 413, 237, 125)(62, 110, 206, 366, 322, 414, 238,
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386)(211, 371, 490, 346, 474, 449, 499, 387)(212, 372, 489, 345, 473, 450, 500,
388)(213, 373, 484, 340, 468, 456, 501, 389)(214, 374, 483, 339, 467, 455, 502,
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394)(219, 379, 493, 349, 477, 458, 507, 395)(220, 380, 494, 350, 478, 457, 508,
396)(221, 381, 487, 343, 471, 463, 509, 397)(222, 382, 488, 344, 472, 464, 510,
398)(223, 383, 485, 341, 469, 461, 511, 399)(224, 384, 486, 342, 470, 462, 512,
400)
d: (3, 446)(4, 445)(5, 128, 9, 224)(6, 127, 10, 223)(7, 210, 11, 114)(8, 209,
12, 113)(13, 435)(14, 436)(15, 16)(17, 33, 49, 44)(18, 34, 50, 43)(19, 289, 51,
295)(20, 290, 52, 296)(21, 400, 53, 394)(22, 399, 54, 393)(23, 226, 55, 235)(24,
225, 56, 236)(25, 240, 57, 230)(26, 239, 58, 229)(27, 386, 59, 391)(28, 385, 60,
392)(29, 304, 61, 297)(30, 303, 62, 298)(31, 48, 63, 38)(32, 47, 64, 37)(35,
383, 42, 270)(36, 384, 41, 269)(39, 259, 45, 370)(40, 260, 46, 369)(65, 92, 129,
172)(66, 91, 130, 171)(67, 167, 131, 87)(68, 168, 132, 88)(69, 506, 133,
507)(70, 505, 134, 508)(71, 411, 135, 410)(72, 412, 136, 409)(73, 406, 137,
407)(74, 405, 138, 408)(75, 503, 139, 502)(76, 504, 140, 501)(77, 169, 141,
89)(78, 170, 142, 90)(79, 86, 143, 166)(80, 85, 144, 165)(81, 99, 161, 97)(82,
100, 162, 98)(83, 487, 163, 485)(84, 488, 164, 486)(93, 489, 173, 491)(94, 490,
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356, 366)(367, 472, 368, 471)(403, 494, 414, 484)(404, 493, 413, 483)(433,
434)(469, 476, 470, 475)(481, 510, 495, 499)(482, 509, 496, 500)
e: (5, 9)(6, 10)(7, 11)(8, 12)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22,
54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32,
64)(33, 44)(34, 43)(35, 42)(36, 41)(37, 47)(38, 48)(39, 45)(40, 46)(65, 129)(66,
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139)(76, 140)(77, 141)(78, 142)(79, 143)(80, 144)(81, 161)(82, 162)(83, 163)(84,
164)(85, 165)(86, 166)(87, 167)(88, 168)(89, 169)(90, 170)(91, 171)(92, 172)(93,
173)(94, 174)(95, 175)(96, 176)(97, 99)(98, 100)(101, 108)(102, 107)(103,
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213)(118, 214)(119, 215)(120, 216)(121, 217)(122, 218)(123, 219)(124, 220)(125,
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249)(158, 250)(159, 251)(160, 252)(177, 321)(178, 322)(179, 323)(180, 324)(181,
325)(182, 326)(183, 327)(184, 328)(185, 329)(186, 330)(187, 331)(188, 332)(189,
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356, 365)(367, 471, 368, 472)(403, 493, 414, 483)(404, 494, 413, 484)(447,
448)(469, 475, 470, 476)(481, 509, 495, 500)(482, 510, 496, 499)
C4[ 512, 303 ]
512
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0