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