z1 := (1,2,5,10,13,8,4,7,11,6,3)(9,14,20,28,38,52,58,42,30,21,15)(12,17,24,34,
     48,67,68,49,35,25,18)(16,22,31,43,59,80,84,61,44,32,23)(19,26,36,50,70,
     95,97,71,51,37,27)(29,39,53,72,99,107,79,100,73,54,40)(33,45,62,85,114,
     96,128,116,86,63,46)(41,55,74,101,133,165,166,134,102,75,56)(47,64,87,
     117,149,181,183,150,118,88,65)(57,76,103,135,167,202,205,169,136,104,77)
     (60,81,109,141,124,93,69,92,123,110,82)(66,89,119,151,185,222,223,186,
     152,120,90)(78,105,137,122,91,121,153,188,171,138,106)(83,111,142,174,
     211,252,220,184,175,143,112)(94,125,154,189,168,203,242,227,190,155,126)
     (98,130,160,195,231,275,277,232,196,161,131)(108,139,172,207,170,206,246,
     251,210,173,140)(113,144,176,209,249,291,296,253,212,177,145)(115,146,
     178,213,254,298,299,255,214,179,147)(127,156,191,228,271,313,314,272,229,
     192,157)(129,158,193,230,274,268,225,187,224,194,159)(132,162,197,233,
     279,301,256,215,180,148,163)(164,198,234,280,300,342,365,323,281,235,199)
     (182,217,259,303,346,362,321,278,304,260,218)(200,236,282,324,366,403,
     393,354,315,273,237)(201,238,283,326,329,286,241,270,226,269,239)(204,
     243,288,331,373,349,307,265,221,264,244)(208,247,263,306,348,345,302,258,
     216,257,248)(219,261,250,292,333,374,409,387,347,305,262)(240,284,327,
     311,267,310,351,390,369,328,285)(245,289,332,344,385,419,423,391,352,312,
     290)(266,308,295,336,377,411,404,367,325,350,309)(276,318,358,395,413,
     379,339,297,338,359,319)(287,293,334,375,341,382,416,434,407,371,330)
     (294,335,376,410,426,394,357,317,356,355,316)(320,360,396,398,428,446,
     461,445,427,397,361)(322,363,399,370,389,422,441,447,429,400,364)(337,
     378,412,425,443,459,456,438,424,392,353)(340,380,414,433,451,462,448,430,
     401,415,381)(343,383,417,439,453,435,408,372,388,418,384)(368,405,386,
     420,421,440,457,449,431,402,406)(432,442,458,444,460,452,455,437,436,454,
     450);