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