z1 := (1,2,4,7,6,3)(5,8,13,21,14,9)(10,15,24,36,25,16)(11,17,27,40,28,18)(12,
     19,30,45,31,20)(22,32,48,68,49,33)(23,34)(26,37,53,74,54,38)(29,42,59,57,
     41,43)(35,50,70,87,71,51)(39,55,65,46,64,56)(44,61,79,95,80,62)(47,66,83,
     99,85,67)(52,72,89,100,84,73)(58,76,92,105,93,77)(60,78,94,103,90,75)(63,
     81,69,86,97,82)(88,101,107,106,96,98)(91,104)(102,108,111,110,112,109);