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