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