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