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