Graph forms
for C4 [ 432, 173 ] = PL(ATD[54,4]#DCyc[4])
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On this page are computer-accessible forms for the graph C4[ 432, 173 ] =
PL(ATD[54,4]#DCyc[4]).
(I) Following is a form readable by MAGMA:
g:=Graph<432|{ {216, 222}, {205, 217}, {197, 229}, {203, 235}, {199, 228}, {216,
254}, {200, 225}, {205, 225}, {211, 255}, {210, 254}, {212, 228}, {192, 242},
{208, 227}, {207, 251}, {202, 242}, {197, 251}, {168, 232}, {162, 230}, {184,
252}, {168, 236}, {167, 227}, {163, 231}, {165, 227}, {182, 240}, {179, 245},
{185, 241}, {146, 219}, {175, 230}, {187, 241}, {150, 218}, {184, 244}, {174,
226}, {144, 222}, {149, 218}, {140, 220}, {169, 248}, {170, 242}, {160, 250},
{175, 245}, {169, 242}, {135, 219}, {181, 235}, {177, 238}, {136, 232}, {131,
226}, {141, 239}, {131, 231}, {152, 253}, {132, 236}, {149, 229}, {137, 252},
{150, 227}, {133, 253}, {138, 241}, {160, 219}, {157, 230}, {135, 250}, {154,
231}, {137, 244}, {95, 222}, {125, 252}, {113, 243}, {112, 245}, {98, 229},
{111, 232}, {122, 253}, {102, 238}, {119, 255}, {86, 223}, {97, 234}, {98, 233},
{117, 249}, {118, 251}, {119, 250}, {104, 248}, {72, 217}, {79, 221}, {110,
252}, {122, 232}, {96, 246}, {75, 220}, {106, 240}, {108, 247}, {116, 239},
{121, 229}, {124, 224}, {69, 219}, {126, 224}, {90, 250}, {126, 222}, {76, 239},
{87, 243}, {90, 255}, {127, 218}, {71, 238}, {64, 234}, {118, 220}, {116, 223},
{85, 249}, {88, 244}, {83, 254}, {80, 254}, {112, 223}, {81, 225}, {67, 240},
{110, 221}, {84, 225}, {94, 235}, {70, 255}, {76, 247}, {92, 224}, {96, 221},
{103, 217}, {54, 245}, {36, 224}, {47, 235}, {46, 234}, {36, 226}, {49, 249},
{50, 251}, {57, 243}, {38, 237}, {34, 236}, {54, 230}, {41, 248}, {56, 233},
{37, 247}, {10, 217}, {41, 253}, {48, 233}, {53, 239}, {1, 221}, {40, 244}, {2,
223}, {55, 234}, {40, 246}, {48, 238}, {18, 240}, {21, 247}, {19, 241}, {52,
220}, {51, 218}, {6, 237}, {11, 231}, {26, 246}, {20, 249}, {3, 243}, {23, 228},
{12, 248}, {20, 226}, {31, 233}, {27, 237}, {1, 246}, {22, 237}, {16, 236}, {24,
228}, {27, 282}, {161, 416}, {93, 348}, {30, 287}, {163, 417}, {128, 389}, {99,
357}, {153, 415}, {26, 285}, {42, 301}, {107, 364}, {128, 391}, {149, 413}, {39,
302}, {167, 430}, {44, 293}, {145, 411}, {186, 432}, {88, 339}, {95, 340}, {32,
300}, {61, 305}, {128, 396}, {49, 316}, {153, 404}, {142, 387}, {12, 258}, {171,
421}, {55, 313}, {42, 292}, {50, 290}, {134, 406}, {68, 341}, {159, 398}, {93,
332}, {128, 401}, {130, 403}, {19, 257}, {180, 422}, {89, 331}, {81, 323}, {9,
282}, {97, 370}, {72, 347}, {51, 288}, {22, 258}, {97, 373}, {85, 321}, {81,
325}, {30, 266}, {23, 259}, {110, 378}, {53, 288}, {157, 392}, {104, 381}, {143,
410}, {8, 286}, {191, 425}, {58, 300}, {14, 280}, {4, 275}, {188, 427}, {84,
323}, {31, 264}, {80, 328}, {63, 294}, {186, 419}, {97, 376}, {72, 337}, {141,
404}, {25, 259}, {181, 431}, {157, 391}, {50, 296}, {41, 307}, {33, 315}, {101,
383}, {113, 363}, {115, 361}, {123, 353}, {3, 280}, {94, 325}, {8, 275}, {103,
380}, {6, 282}, {90, 326}, {34, 318}, {106, 374}, {117, 361}, {30, 259}, {93,
320}, {52, 297}, {32, 317}, {108, 369}, {112, 365}, {117, 360}, {120, 358}, {5,
282}, {186, 421}, {182, 425}, {28, 259}, {15, 272}, {7, 280}, {138, 405}, {2,
290}, {181, 405}, {80, 368}, {24, 312}, {114, 338}, {136, 424}, {46, 271}, {183,
406}, {91, 378}, {114, 339}, {32, 258}, {179, 401}, {1, 290}, {31, 315}, {165,
385}, {38, 258}, {124, 344}, {142, 426}, {138, 431}, {162, 391}, {141, 427},
{167, 385}, {4, 291}, {92, 379}, {45, 266}, {105, 334}, {106, 333}, {139, 419},
{176, 408}, {46, 263}, {187, 402}, {185, 400}, {123, 337}, {126, 340}, {129,
427}, {8, 291}, {188, 407}, {187, 400}, {68, 367}, {133, 430}, {53, 281}, {182,
410}, {111, 323}, {35, 270}, {165, 392}, {164, 393}, {113, 351}, {170, 388},
{143, 417}, {23, 312}, {59, 276}, {109, 322}, {11, 315}, {191, 399}, {190, 398},
{78, 382}, {127, 335}, {12, 317}, {178, 387}, {158, 431}, {83, 354}, {61, 268},
{125, 332}, {13, 319}, {75, 377}, {62, 268}, {45, 287}, {43, 281}, {77, 382},
{166, 405}, {111, 348}, {9, 317}, {172, 408}, {158, 426}, {80, 356}, {109, 345},
{14, 315}, {180, 385}, {79, 378}, {41, 284}, {33, 276}, {51, 261}, {84, 354},
{83, 356}, {155, 428}, {5, 317}, {98, 346}, {91, 355}, {48, 264}, {35, 283},
{14, 310}, {10, 306}, {115, 331}, {147, 427}, {33, 280}, {171, 402}, {78, 375},
{61, 260}, {122, 323}, {62, 260}, {173, 407}, {156, 422}, {77, 375}, {66, 377},
{86, 365}, {87, 363}, {52, 265}, {111, 338}, {65, 383}, {92, 354}, {89, 359},
{144, 430}, {12, 307}, {36, 283}, {27, 292}, {59, 379}, {86, 278}, {23, 342},
{21, 343}, {14, 330}, {107, 303}, {99, 294}, {211, 406}, {43, 365}, {124, 314},
{60, 379}, {74, 269}, {73, 270}, {64, 263}, {105, 302}, {108, 299}, {121, 318},
{4, 332}, {207, 391}, {65, 265}, {59, 371}, {30, 342}, {13, 327}, {201, 387},
{91, 273}, {17, 347}, {107, 289}, {3, 328}, {40, 355}, {53, 377}, {213, 409},
{65, 269}, {120, 309}, {196, 393}, {5, 331}, {193, 399}, {89, 279}, {56, 374},
{7, 328}, {74, 261}, {55, 376}, {48, 383}, {37, 362}, {100, 299}, {104, 295},
{96, 304}, {55, 358}, {196, 405}, {87, 262}, {109, 316}, {21, 327}, {67, 273},
{46, 380}, {33, 371}, {38, 373}, {209, 386}, {2, 342}, {72, 284}, {70, 274},
{38, 370}, {9, 349}, {5, 336}, {76, 281}, {20, 321}, {16, 325}, {15, 346}, {98,
308}, {1, 342}, {71, 272}, {70, 273}, {69, 274}, {63, 360}, {57, 366}, {9, 350},
{4, 339}, {28, 324}, {203, 403}, {79, 279}, {103, 319}, {49, 360}, {99, 314},
{63, 357}, {213, 399}, {29, 326}, {101, 318}, {29, 321}, {57, 357}, {7, 346},
{197, 408}, {60, 353}, {24, 326}, {207, 401}, {193, 415}, {60, 354}, {118, 296},
{18, 333}, {212, 395}, {198, 409}, {47, 368}, {114, 301}, {11, 363}, {39, 326},
{82, 307}, {56, 346}, {25, 378}, {194, 417}, {43, 335}, {192, 420}, {17, 372},
{74, 303}, {54, 339}, {126, 283}, {58, 348}, {92, 314}, {107, 269}, {122, 284},
{7, 352}, {76, 299}, {47, 328}, {34, 325}, {58, 338}, {71, 303}, {39, 334},
{120, 273}, {42, 320}, {119, 285}, {64, 299}, {95, 307}, {204, 416}, {201, 421},
{3, 366}, {99, 270}, {60, 337}, {44, 321}, {21, 376}, {71, 297}, {202, 420},
{91, 309}, {73, 295}, {15, 352}, {77, 290}, {43, 324}, {31, 368}, {28, 365},
{214, 423}, {37, 343}, {81, 291}, {78, 316}, {67, 304}, {82, 289}, {73, 314},
{118, 261}, {85, 289}, {13, 376}, {96, 277}, {70, 304}, {102, 272}, {10, 381},
{115, 267}, {120, 256}, {26, 355}, {212, 429}, {69, 316}, {25, 355}, {54, 332},
{37, 351}, {124, 262}, {6, 381}, {11, 368}, {101, 286}, {103, 284}, {26, 359},
{209, 428}, {94, 291}, {117, 267}, {209, 431}, {28, 412}, {184, 312}, {164,
292}, {42, 426}, {146, 274}, {150, 278}, {129, 256}, {206, 335}, {164, 293},
{145, 272}, {151, 277}, {36, 423}, {181, 310}, {19, 407}, {209, 341}, {18, 407},
{155, 286}, {25, 412}, {146, 279}, {129, 263}, {147, 277}, {10, 397}, {175,
296}, {139, 268}, {134, 270}, {200, 320}, {174, 294}, {140, 261}, {215, 350},
{189, 308}, {2, 392}, {160, 298}, {156, 278}, {130, 264}, {133, 271}, {6, 397},
{35, 424}, {138, 257}, {161, 301}, {198, 330}, {210, 351}, {191, 305}, {208,
350}, {17, 414}, {194, 333}, {183, 312}, {45, 418}, {159, 271}, {176, 288}, {51,
418}, {135, 277}, {59, 424}, {198, 341}, {148, 263}, {15, 411}, {214, 322}, {61,
425}, {16, 389}, {189, 296}, {193, 343}, {29, 394}, {202, 349}, {132, 275}, {24,
384}, {166, 318}, {29, 388}, {201, 336}, {143, 276}, {178, 297}, {16, 396},
{134, 283}, {183, 298}, {178, 303}, {57, 423}, {62, 416}, {168, 311}, {213,
330}, {199, 344}, {34, 386}, {161, 257}, {149, 308}, {210, 371}, {142, 300},
{215, 373}, {151, 309}, {13, 430}, {156, 319}, {40, 395}, {147, 304}, {8, 428},
{213, 369}, {172, 264}, {131, 294}, {208, 373}, {175, 266}, {22, 432}, {151,
305}, {39, 384}, {44, 388}, {206, 358}, {194, 362}, {167, 271}, {32, 393}, {198,
367}, {173, 260}, {147, 313}, {212, 382}, {190, 276}, {152, 306}, {45, 390},
{216, 371}, {204, 359}, {196, 367}, {134, 298}, {187, 279}, {50, 412}, {62,
400}, {44, 387}, {164, 267}, {155, 308}, {144, 319}, {19, 419}, {154, 298}, {18,
419}, {49, 384}, {27, 426}, {52, 390}, {158, 300}, {132, 310}, {135, 309}, {139,
313}, {20, 423}, {214, 357}, {58, 393}, {22, 421}, {141, 313}, {47, 409}, {186,
268}, {171, 285}, {150, 288}, {56, 399}, {193, 374}, {189, 266}, {133, 306},
{144, 295}, {166, 286}, {210, 362}, {202, 370}, {188, 260}, {17, 424}, {199,
382}, {63, 388}, {215, 364}, {168, 275}, {188, 256}, {35, 414}, {203, 374},
{136, 311}, {145, 302}, {183, 375}, {87, 406}, {211, 274}, {199, 262}, {154,
344}, {170, 360}, {66, 385}, {162, 353}, {110, 429}, {115, 432}, {78, 394}, {69,
384}, {169, 364}, {100, 417}, {129, 327}, {208, 278}, {180, 370}, {170, 364},
{73, 398}, {94, 409}, {195, 267}, {148, 349}, {192, 265}, {176, 377}, {166,
367}, {163, 362}, {84, 414}, {195, 265}, {102, 428}, {148, 350}, {105, 418},
{159, 340}, {158, 341}, {172, 352}, {75, 390}, {204, 257}, {163, 366}, {83,
414}, {132, 330}, {206, 256}, {195, 269}, {191, 369}, {177, 383}, {153, 343},
{140, 322}, {184, 375}, {90, 394}, {207, 287}, {125, 429}, {77, 412}, {204,
285}, {93, 396}, {95, 397}, {155, 329}, {137, 347}, {88, 395}, {145, 322}, {148,
327}, {68, 400}, {169, 381}, {140, 345}, {211, 262}, {75, 413}, {162, 372},
{123, 429}, {153, 335}, {206, 281}, {157, 324}, {65, 411}, {197, 287}, {190,
356}, {151, 333}, {178, 361}, {79, 402}, {88, 389}, {64, 415}, {82, 397}, {66,
413}, {116, 404}, {196, 292}, {174, 334}, {156, 380}, {112, 401}, {165, 324},
{121, 408}, {127, 413}, {179, 337}, {130, 352}, {159, 380}, {66, 422}, {68,
416}, {102, 386}, {119, 402}, {200, 301}, {185, 348}, {172, 329}, {104, 398},
{195, 293}, {173, 331}, {109, 394}, {142, 361}, {74, 418}, {179, 347}, {177,
345}, {131, 363}, {89, 432}, {192, 297}, {182, 351}, {180, 349}, {67, 425},
{190, 340}, {113, 410}, {127, 404}, {143, 356}, {152, 372}, {201, 293}, {139,
358}, {105, 390}, {86, 422}, {123, 395}, {85, 420}, {125, 396}, {130, 369},
{194, 305}, {161, 338}, {136, 379}, {154, 366}, {189, 329}, {146, 359}, {82,
420}, {215, 289}, {114, 389}, {174, 345}, {160, 344}, {214, 302}, {106, 403},
{185, 320}, {176, 329}, {152, 353}, {205, 311}, {100, 415}, {171, 336}, {121,
386}, {116, 392}, {137, 372}, {203, 310}, {173, 336}, {100, 410}, {101, 411},
{108, 403}, {216, 295}, {205, 306}, {200, 311}, {177, 334} }>;
(II) A more general form is to represent the graph as the orbit of {216, 222}
under the group generated by the following permutations:
a: (1, 3, 6, 28, 31, 32)(2, 7, 27, 25, 11, 12)(4, 18, 49, 17, 21, 74, 16, 61,
29, 60, 64, 52)(5, 23, 80, 9, 30, 47)(8, 19, 69, 35, 13, 51, 34, 62, 90, 92, 46,
75)(10, 43, 48, 58, 96, 57)(14, 22, 77, 33, 38, 50)(15, 42, 91, 131, 41,
116)(20, 152, 153, 71, 114, 67)(24, 83, 148, 45, 94, 173)(26, 87, 95, 165, 98,
158)(36, 133, 127, 102, 161, 70)(37, 107, 128, 191, 44, 123, 100, 192, 54, 106,
117, 137)(39, 84, 129, 105, 81, 188)(40, 113, 82, 157, 56, 142)(53, 101, 185,
135, 99, 103)(55, 140, 168, 139, 109, 136)(59, 97, 118, 132, 186, 78)(63, 72,
76, 65, 93, 151)(66, 155, 138, 146, 134, 144, 150, 121, 68, 119, 124, 159)(73,
156, 176, 166, 187, 160)(79, 154, 104, 86, 172, 196)(85, 162, 193, 178, 88,
182)(89, 183, 216, 208, 197, 198, 171, 199, 190, 180, 189, 181)(108, 195, 125,
194, 170, 179)(110, 163, 169, 112, 130, 164)(111, 147, 214, 205, 206, 177)(115,
184, 210, 215, 207, 213, 201, 212, 143, 202, 175, 203)(120, 174, 122, 141, 145,
200)(126, 167, 149, 209, 204, 211)(217, 281, 383, 348, 277, 357)(218, 386, 416,
255, 224, 271, 413, 428, 257, 274, 283, 430)(219, 270, 319, 288, 318, 400, 250,
314, 380, 377, 286, 241)(220, 275, 419, 316, 424, 376, 261, 236, 268, 394, 379,
234)(221, 366, 381, 365, 264, 393)(222, 227, 229, 341, 285, 262, 340, 385, 308,
431, 359, 406)(223, 352, 292, 378, 231, 248)(225, 256, 334, 323, 427, 302)(226,
253, 404, 272, 301, 273)(228, 356, 349, 266, 235, 331, 312, 254, 350, 287, 409,
336)(230, 374, 361, 244, 351, 289, 391, 399, 387, 395, 410, 420)(232, 313, 322,
311, 358, 345)(233, 300, 246, 243, 397, 324)(237, 412, 315, 258, 290, 280)(238,
338, 304, 423, 306, 335)(239, 411, 320, 309, 294, 284)(240, 249, 372, 343, 303,
389, 425, 321, 353, 415, 297, 339)(242, 245, 403, 267, 252, 362, 364, 401, 369,
293, 429, 417)(247, 269, 396, 305, 388, 337, 299, 265, 332, 333, 360, 347)(251,
330, 421, 382, 276, 370, 296, 310, 432, 375, 371, 373)(259, 368, 317, 342, 328,
282)(260, 326, 354, 263, 390, 291, 407, 384, 414, 327, 418, 325)(278, 408, 367,
402, 344, 398, 422, 329, 405, 279, 298, 295)(307, 392, 346, 426, 355, 363) (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: (29, 49)(44, 117)(69, 90)(89, 171)(115, 201)(119, 146)(219, 250)(249,
321)(255, 274)(267, 293)(279, 402)(285, 359)(316, 394)(326, 384)(331, 336)(360,
388)(361, 387)(421, 432)
c: (72, 152)(86, 165)(103, 133)(112, 157)(156, 167)(162, 179)(217, 306)(223,
392)(227, 278)(230, 245)(253, 284)(271, 380)(319, 430)(324, 365)(337, 353)(347,
372)(385, 422)(391, 401)
d: (51, 75)(52, 74)(66, 150)(107, 192)(180, 208)(202, 215)(218, 413)(220,
261)(227, 385)(242, 364)(265, 269)(278, 422)(288, 377)(289, 420)(297, 303)(349,
350)(370, 373)(390, 418)
e: (4, 16)(8, 34)(54, 128)(121, 155)(175, 207)(189, 197)(229, 308)(230,
391)(236, 275)(245, 401)(251, 296)(266, 287)(286, 318)(291, 325)(329, 408)(332,
396)(339, 389)(386, 428)
f: (67, 151)(70, 135)(87, 154)(113, 163)(160, 211)(182, 194)(219, 274)(231,
363)(240, 333)(243, 366)(250, 255)(262, 344)(273, 309)(277, 304)(298, 406)(305,
425)(351, 362)(410, 417)
g: (1, 2, 116, 141, 147, 96)(3, 42, 174, 122, 15, 6, 11, 58, 214, 205, 48,
12)(4, 74, 144, 213, 201, 134)(5, 154, 114, 105, 103, 56)(7, 27, 131, 111, 145,
10, 31, 32, 57, 200, 177, 41)(8, 107, 216, 198, 44, 35)(9, 163, 161, 39, 72,
98)(13, 191, 171, 183, 54, 51)(14, 164, 36, 81, 71, 104)(16, 52, 159, 203, 115,
124)(17, 155, 215, 210, 68, 29)(18, 146, 212, 207, 66, 64)(19, 69, 123, 197,
180, 100)(20, 84, 102, 169, 33, 196)(21, 61, 119, 184, 175, 150)(22, 87, 93,
140, 133, 130)(23, 112, 127, 129, 151, 26)(24, 179, 149, 148, 194, 204)(25, 28,
43, 206, 120, 91)(30, 86, 153, 188, 135, 40)(34, 192, 190, 181, 117, 92)(37, 62,
90, 137, 189, 208)(38, 113, 185, 109, 152, 172)(45, 156, 193, 173, 160, 88)(46,
106, 89, 199, 128, 75)(47, 142, 99, 168, 65, 95)(49, 60, 121, 202, 143, 138)(50,
165, 76, 139, 70, 110)(53, 55, 67, 79, 77, 157)(59, 166, 85, 83, 209, 170)(63,
136, 101, 82, 80, 158)(73, 132, 195, 126, 94, 178)(78, 162, 176, 97, 182,
187)(108, 186, 211, 125, 118, 167)(217, 233, 317, 366, 301, 334, 284, 346, 282,
231, 338, 302)(218, 327, 305, 285, 312, 245)(219, 395, 287, 422, 415, 407)(220,
271, 403, 432, 262, 396)(221, 290, 392, 239, 313, 304)(222, 409, 387, 270, 275,
269)(223, 404, 427, 277, 246, 342)(224, 325, 297, 398, 310, 267)(225, 238, 248,
280, 292, 226, 323, 272, 381, 315, 393, 423)(227, 247, 268, 255, 252, 296)(228,
401, 413, 263, 333, 359)(229, 349, 417, 257, 384, 337)(230, 288, 376, 425, 402,
375)(232, 411, 397, 368, 300, 357, 311, 383, 307, 328, 426, 294)(234, 240, 279,
382, 391, 377)(235, 361, 314, 236, 265, 340)(237, 363, 348, 322, 306, 264, 258,
243, 320, 345, 253, 352)(241, 316, 353, 408, 370, 410)(242, 276, 405, 249, 354,
386)(244, 266, 278, 343, 260, 250)(251, 385, 299, 419, 274, 429)(254, 341, 388,
424, 286, 289)(256, 309, 355, 259, 365, 335)(261, 430, 369, 421, 406, 332)(273,
378, 412, 324, 281, 358)(283, 291, 303, 295, 330, 293)(298, 339, 418, 319, 399,
336)(308, 350, 362, 416, 326, 347)(318, 420, 356, 431, 360, 379)(321, 414, 428,
364, 371, 367)(329, 373, 351, 400, 394, 372)(331, 344, 389, 390, 380, 374)
h: (17, 60)(35, 92)(123, 137)(124, 134)(183, 199)(184, 212)(224, 283)(228,
312)(244, 395)(252, 429)(262, 406)(270, 314)(298, 344)(337, 347)(353, 372)(354,
414)(375, 382)(379, 424)
m: (18, 61)(19, 62)(67, 151)(68, 138)(70, 135)(87, 154)(106, 191)(113, 163)(160,
211)(181, 198)(182, 194)(203, 213)(219, 274)(231, 363)(235, 409)(240, 305)(241,
400)(243, 366)(250, 255)(257, 416)(260, 407)(262, 344)(268, 419)(273, 309)(277,
304)(298, 406)(310, 330)(333, 425)(341, 431)(351, 362)(367, 405)(369, 403)(374,
399)(410, 417)
n1: (3, 11)(7, 31)(15, 48)(57, 131)(145, 177)(174, 214)(226, 423)(231, 366)(233,
346)(238, 272)(243, 363)(264, 352)(280, 315)(294, 357)(302, 334)(322, 345)(328,
368)(383, 411)
a1: (6, 12)(10, 41)(27, 32)(42, 58)(111, 200)(122, 205)(217, 284)(225, 323)(232,
311)(237, 258)(248, 381)(253, 306)(282, 317)(292, 393)(300, 426)(301, 338)(307,
397)(320, 348)
b1: (14, 47)(33, 80)(59, 83)(81, 168)(84, 136)(94, 132)(225, 311)(232, 323)(235,
310)(236, 325)(254, 371)(275, 291)(276, 356)(280, 328)(315, 368)(330, 409)(354,
379)(414, 424)
c1: (1, 5, 25, 22)(2, 9, 28, 38)(3, 14)(4, 20)(6, 30, 12, 50)(7, 33)(8, 36)(10,
45, 41, 118)(11, 47)(13, 127, 46, 53)(15, 59)(16, 63)(17, 65)(18, 67)(19,
70)(21, 153, 64, 76)(23, 32, 77, 27)(24, 58, 78, 42)(26, 89, 79, 171)(29, 114,
49, 93)(31, 80)(34, 99)(35, 101)(37, 193, 100, 108)(39, 111, 109, 200)(40, 115,
110, 201)(43, 97, 116, 148)(44, 88, 117, 125)(48, 83)(51, 133)(52, 72)(54,
85)(55, 141, 129, 206)(56, 143, 130, 210)(57, 132)(60, 71)(61, 151)(62, 135)(66,
156)(68, 160)(69, 185, 90, 161)(73, 121)(74, 152)(75, 103)(81, 174)(82, 175)(84,
177)(86, 180)(87, 181)(91, 186, 96, 173)(92, 102)(94, 131)(95, 189)(98, 190,
172, 216)(104, 197)(105, 122, 140, 205)(106, 182)(107, 162)(112, 202)(113,
203)(119, 204, 146, 187)(120, 139, 147, 188)(123, 178)(124, 209)(126, 155)(128,
170)(134, 166)(136, 145)(137, 195)(138, 211)(142, 212)(144, 149, 159, 176)(150,
167)(154, 198)(157, 215)(158, 199)(163, 213)(164, 184)(165, 208)(168, 214)(169,
207)(179, 192)(183, 196)(191, 194)(217, 390, 284, 220)(218, 271, 288, 430)(219,
400, 250, 416)(221, 336, 355, 432)(222, 308, 340, 329)(223, 349, 365, 370)(224,
428)(225, 334, 323, 345)(226, 291)(228, 300, 382, 426)(229, 398, 408, 295)(230,
289)(231, 409)(232, 322, 311, 302)(233, 356, 264, 254)(234, 239, 327, 335)(235,
363)(236, 357)(237, 342, 317, 412)(238, 354)(241, 255, 257, 274)(242, 401)(243,
310)(244, 267, 252, 293)(245, 420)(246, 331, 378, 421)(247, 343, 415, 299)(248,
251, 381, 287)(249, 332, 321, 339)(253, 261, 306, 418)(256, 358, 313, 427)(258,
290, 282, 259)(260, 309, 268, 277)(262, 431)(263, 281, 376, 404)(265, 347)(266,
307, 296, 397)(269, 372)(270, 318)(272, 379)(273, 419, 304, 407)(275, 423)(276,
352, 371, 346)(278, 385)(279, 402, 285, 359)(283, 286)(292, 312, 393, 375)(294,
325)(297, 337)(298, 367)(301, 384, 348, 394)(303, 353)(314, 386)(315, 328)(316,
320, 326, 338)(319, 413, 380, 377)(324, 373, 392, 350)(330, 366)(333, 425)(341,
344)(351, 374, 410, 403)(360, 396, 388, 389)(361, 429, 387, 395)(362, 399, 417,
369)(364, 391)(383, 414)(405, 406)(411, 424)
d1: (2, 96)(3, 41)(4, 29)(5, 98)(6, 31)(7, 12)(8, 44)(9, 56)(10, 11)(13,
100)(14, 169)(15, 32)(16, 49)(17, 134)(18, 150)(19, 51)(20, 81)(21, 64)(22,
172)(23, 40)(24, 88)(26, 30)(27, 48)(28, 91)(33, 104)(34, 117)(36, 84)(37,
46)(38, 130)(39, 114)(42, 177)(43, 120)(45, 204)(47, 82)(50, 79)(52, 68)(53,
139)(54, 90)(55, 76)(57, 122)(58, 145)(59, 73)(60, 124)(61, 66)(62, 75)(63,
168)(65, 158)(67, 165)(69, 128)(70, 157)(71, 196)(72, 154)(74, 138)(77, 110)(78,
125)(80, 95)(83, 126)(85, 94)(86, 151)(87, 152)(89, 197)(93, 109)(97, 108)(99,
136)(101, 142)(102, 164)(103, 163)(105, 161)(106, 208)(107, 181)(111, 214)(112,
135)(113, 133)(115, 121)(116, 147)(118, 187)(119, 175)(123, 199)(127, 188)(129,
153)(131, 205)(132, 170)(137, 183)(140, 185)(143, 144)(146, 207)(148, 193)(149,
173)(155, 201)(156, 194)(159, 210)(160, 179)(162, 211)(166, 178)(167, 182)(171,
189)(174, 200)(176, 186)(180, 191)(190, 216)(192, 198)(195, 209)(202, 213)(203,
215)(217, 231)(218, 407)(219, 401)(220, 400)(221, 290)(222, 356)(223, 277)(224,
354)(225, 226)(227, 240)(228, 395)(229, 331)(230, 255)(232, 357)(233, 282)(234,
247)(235, 289)(236, 360)(237, 264)(238, 292)(239, 313)(241, 261)(242, 330)(243,
253)(244, 312)(245, 250)(246, 342)(248, 280)(249, 325)(251, 279)(252, 375)(254,
340)(256, 335)(257, 418)(258, 352)(259, 355)(260, 413)(262, 353)(263, 343)(265,
341)(266, 285)(267, 386)(268, 377)(269, 431)(270, 424)(271, 351)(272, 393)(273,
324)(274, 391)(275, 388)(276, 295)(278, 333)(281, 358)(283, 414)(284, 366)(286,
387)(287, 359)(288, 419)(291, 321)(293, 428)(294, 311)(296, 402)(297, 367)(298,
347)(299, 376)(300, 411)(301, 334)(302, 338)(303, 405)(304, 392)(305, 422)(306,
363)(307, 328)(308, 336)(309, 365)(310, 364)(314, 379)(315, 381)(316, 396)(317,
346)(318, 361)(319, 417)(320, 345)(322, 348)(323, 423)(326, 339)(327, 415)(329,
421)(332, 394)(337, 344)(349, 399)(350, 374)(362, 380)(368, 397)(369, 370)(371,
398)(372, 406)(373, 403)(378, 412)(382, 429)(383, 426)(384, 389)(385, 425)(390,
416)(404, 427)(408, 432)(409, 420)(410, 430)
e1: (26, 79)(40, 110)(88, 125)(93, 114)(161, 185)(187, 204)(221, 246)(241,
257)(244, 252)(279, 359)(285, 402)(301, 320)(332, 339)(338, 348)(355, 378)(389,
396)(395, 429)(400, 416)
f1: (53, 127)(56, 130)(76, 153)(98, 172)(108, 193)(149, 176)(218, 288)(229,
408)(233, 264)(239, 404)(247, 343)(281, 335)(299, 415)(308, 329)(346, 352)(369,
399)(374, 403)(377, 413)
g1: (65, 71)(101, 102)(142, 164)(158, 196)(166, 209)(178, 195)(238, 383)(265,
297)(267, 361)(269, 303)(272, 411)(286, 428)(292, 426)(293, 387)(300, 393)(318,
386)(341, 367)(405, 431)
h1: (1, 4, 92, 12, 64, 51)(2, 54, 60, 41, 46, 150)(3, 117, 61, 15, 69, 68)(5,
108, 105, 26, 132, 36)(6, 21, 75, 25, 16, 35)(7, 49, 62)(8, 124, 32, 100, 74,
96)(9, 76, 45, 40, 168, 126)(10, 13, 66, 28, 128, 17)(11, 44, 18, 48, 90,
138)(14, 20, 173, 130, 39, 204)(19, 31, 29)(22, 193, 140, 79, 94, 99)(23, 114,
59, 82, 129, 176)(24, 161, 33, 85, 188, 172)(27, 37, 52, 91, 34, 134)(30, 88,
136, 95, 148, 53)(38, 153, 118, 110, 81, 73)(42, 210, 192, 120, 121, 183)(43,
207, 137, 205, 144, 180)(47, 63, 186, 56, 109, 187)(50, 125, 84, 104, 97,
127)(55, 149, 77, 93, 83, 169)(57, 115, 191, 145, 146, 198)(58, 143, 107, 147,
155, 199)(65, 70, 209, 154, 164, 182, 71, 135, 166, 87, 142, 194)(67, 102, 160,
196, 113, 178, 151, 101, 211, 158, 163, 195)(72, 133, 156, 165, 112, 162)(78,
185, 80, 170, 139, 98)(86, 157, 179, 152, 103, 167)(89, 213, 214)(106, 177, 119,
181, 131, 201)(111, 190, 215, 141, 189, 212)(116, 175, 123, 122, 159, 208)(171,
203, 174)(184, 200, 216, 202, 206, 197)(217, 430, 422, 324, 401, 372)(218, 290,
332, 354, 248, 234)(219, 367, 243, 361, 305, 411, 274, 341, 366, 267, 425,
272)(220, 378, 325, 270, 237, 343)(221, 291, 314, 258, 415, 261)(222, 349, 281,
287, 244, 311)(223, 230, 337, 253, 380, 227)(224, 317, 299, 418, 246, 275)(225,
295, 370, 335, 251, 252)(226, 336, 403, 334, 285, 310)(228, 338, 276, 289, 427,
329)(229, 375, 320, 254, 242, 358)(231, 293, 240, 238, 250, 405, 363, 387, 333,
383, 255, 431)(232, 340, 350, 239, 266, 395)(233, 394, 241, 368, 388, 419)(235,
294, 421, 374, 345, 402)(236, 283, 282, 247, 390, 355)(245, 353, 284, 271, 278,
392)(249, 260, 352, 384, 416, 280)(256, 408, 312, 301, 371, 420)(257, 315, 321,
407, 264, 326)(259, 389, 424, 397, 327, 377)(262, 300, 417, 269, 304, 428, 344,
393, 410, 303, 277, 286)(263, 288, 342, 339, 379, 307)(265, 273, 386, 298, 292,
351, 297, 309, 318, 406, 426, 362)(268, 346, 316, 400, 328, 360)(279, 409, 357,
432, 399, 322)(296, 429, 323, 398, 373, 404)(302, 359, 330, 423, 331, 369)(306,
319, 385, 365, 391, 347)(308, 382, 348, 356, 364, 313)(376, 413, 412, 396, 414,
381)
m1: (20, 63)(36, 99)(73, 126)(82, 169)(85, 170)(95, 104)(222, 295)(224,
314)(226, 294)(242, 420)(248, 307)(249, 360)(270, 283)(289, 364)(321, 388)(340,
398)(357, 423)(381, 397)
n2: (23, 77)(24, 78)(30, 50)(39, 109)(45, 118)(105, 140)(220, 390)(228,
382)(251, 287)(259, 412)(261, 418)(266, 296)(290, 342)(302, 322)(312, 375)(316,
384)(326, 394)(334, 345)
a2: (2, 96)(3, 41)(4, 29)(5, 98)(6, 31)(7, 12)(8, 44)(9, 56)(10, 11)(13, 37)(14,
169)(15, 32)(16, 49)(17, 134)(18, 150)(19, 51)(20, 81)(22, 172)(23, 40)(24,
88)(26, 30)(27, 48)(28, 91)(33, 104)(34, 117)(36, 84)(38, 130)(39, 114)(42,
177)(43, 120)(45, 204)(46, 100)(47, 82)(50, 79)(52, 68)(53, 139)(54, 90)(55,
76)(57, 122)(58, 145)(59, 73)(60, 124)(61, 66)(62, 75)(63, 168)(65, 158)(67,
165)(69, 128)(70, 157)(71, 196)(72, 154)(74, 138)(77, 110)(78, 125)(80, 95)(83,
126)(85, 94)(86, 151)(87, 152)(89, 197)(93, 109)(97, 108)(99, 136)(101,
142)(102, 164)(103, 163)(105, 161)(106, 208)(107, 181)(111, 214)(112, 135)(113,
133)(115, 121)(116, 147)(118, 187)(119, 175)(123, 199)(127, 188)(129, 153)(131,
205)(132, 170)(137, 183)(140, 185)(143, 159)(144, 210)(146, 207)(148, 193)(149,
173)(155, 201)(156, 194)(160, 179)(162, 211)(166, 178)(167, 182)(171, 189)(174,
200)(176, 186)(180, 191)(192, 198)(195, 209)(202, 213)(203, 215)(217, 231)(218,
407)(219, 401)(220, 400)(221, 290)(222, 254)(223, 277)(224, 354)(225, 226)(227,
240)(228, 395)(229, 331)(230, 255)(232, 357)(233, 282)(234, 299)(235, 289)(236,
360)(237, 264)(238, 292)(239, 313)(241, 261)(242, 330)(243, 253)(244, 312)(245,
250)(246, 342)(247, 376)(248, 280)(249, 325)(251, 279)(252, 375)(256, 335)(257,
418)(258, 352)(259, 355)(260, 413)(262, 353)(263, 415)(265, 341)(266, 285)(267,
386)(268, 377)(269, 431)(270, 424)(271, 410)(272, 393)(273, 324)(274, 391)(275,
388)(276, 398)(278, 333)(281, 358)(283, 414)(284, 366)(286, 387)(287, 359)(288,
419)(291, 321)(293, 428)(294, 311)(295, 371)(296, 402)(297, 367)(298, 347)(300,
411)(301, 334)(302, 338)(303, 405)(304, 392)(305, 422)(306, 363)(307, 328)(308,
336)(309, 365)(310, 364)(314, 379)(315, 381)(316, 396)(317, 346)(318, 361)(319,
362)(320, 345)(322, 348)(323, 423)(326, 339)(327, 343)(329, 421)(332, 394)(337,
344)(340, 356)(349, 399)(350, 374)(351, 430)(368, 397)(369, 370)(372, 406)(373,
403)(378, 412)(380, 417)(382, 429)(383, 426)(384, 389)(385, 425)(390, 416)(404,
427)(408, 432)(409, 420)
C4[ 432, 173 ]
432
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-2 342 223 290 392
-3 243 366 280 328
-4 275 332 291 339
-5 331 336 282 317
-6 397 237 282 381
-7 352 280 346 328
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0