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