z1 := (1,2,5,10,13,7,3)(4,8,15,23,25,16,9)(6,11,18,28,30,20,12)(14,22,32,47,
     45,31,21)(17,26,38,56,42,29,19)(24,34,50,73,77,52,35)(27,39,58,85,87,59,
     40)(33,48,70,102,104,71,49)(36,53,61,41,60,79,54)(37,55,80,116,94,65,44)
     (43,63,91,131,134,93,64)(46,66,96,138,140,97,67)(51,74,107,152,155,109,
     75)(57,82,120,172,174,121,83)(62,89,127,184,186,129,90)(68,98,141,201,
     203,142,99)(69,100,143,204,162,113,78)(72,105,150,180,125,86,106)(76,110,
     156,221,225,158,111)(81,117,168,236,238,169,118)(84,122,176,244,246,177,
     123)(88,126,182,251,190,132,92)(95,128,167,234,264,196,136)(101,144,206,
     276,278,207,145)(103,147,210,252,183,212,148)(108,153,217,291,239,170,
     119)(112,159,226,304,306,227,160)(114,163,230,309,311,232,164)(115,165,
     195,135,194,233,166)(124,178,247,329,331,248,179)(130,187,199,139,198,
     255,188)(133,191,258,343,347,260,192)(137,197,265,354,336,253,185)(146,
     208,280,374,376,281,209)(149,213,284,268,357,286,214)(151,216,289,386,
     321,241,173)(154,171,224,301,390,292,218)(157,222,298,398,401,300,223)
     (161,228,307,407,409,308,229)(175,242,323,424,410,324,243)(181,250,334,
     438,411,310,231)(189,256,340,421,318,341,257)(193,261,348,455,457,350,
     262)(200,266,237,317,420,356,267)(202,269,358,464,468,360,270)(205,273,
     366,472,474,367,274)(211,282,377,487,385,378,283)(215,287,383,449,494,
     384,288)(219,293,391,499,501,392,294)(220,295,394,480,371,277,296)(235,
     314,416,520,521,417,315)(240,320,422,524,506,402,302)(245,325,342,446,
     527,427,326)(249,332,434,470,365,436,333)(254,337,441,423,525,442,338)
     (259,344,448,500,547,450,345)(263,351,458,516,414,313,352)(271,361,439,
     335,387,290,362)(272,363,419,316,418,319,364)(275,368,476,569,571,477,
     369)(279,373,482,467,490,380,285)(297,395,303,403,507,426,396)(299,399,
     504,497,389,322,400)(305,404,508,588,532,510,405)(312,412,515,594,560,
     462,413)(327,428,393,502,433,330,429)(328,430,529,493,586,530,431)(339,
     443,540,519,554,456,349)(346,451,548,598,616,550,452)(353,459,537,440,
     536,557,460)(355,445,542,609,581,488,379)(359,465,562,624,567,475,466)
     (370,453,551,559,461,558,478)(372,481,575,632,612,544,447)(375,484,545,
     570,590,578,485)(381,491,584,635,608,541,444)(382,408,513,592,534,437,
     435)(388,495,469,463,523,522,496)(397,425,526,498,587,505,503)(406,511,
     432,531,602,591,512)(415,517,549,614,638,596,518)(454,552,617,601,566,
     473,553)(471,564,538,606,644,626,565)(479,572,593,514,492,585,573)(483,
     576,555,618,648,633,577)(486,579,546,613,646,634,580)(489,582,509,589,
     528,600,539)(533,535,604,611,543,610,603)(556,619,650,645,664,651,620)
     (561,622,640,597,639,653,623)(563,583,607,595,637,655,625)(568,627,615,
     647,663,649,628)(574,630,659,642,599,641,631)(605,621,652,658,629,657,
     643)(636,660,654,667,666,662,661)(656,668,670,665,671,672,669);