bin1 := (1,3,5,8,2)(4,6,10,15,23)(7,11,17,26,36)(9,13,20,31,27)(12,18,28,41,58)
     (14,21,33,48,67)(16,24,37,53,42)(19,29,43,60,82)(22,34,50,70,93)(25,38,
     54,47,65)(30,44,62,61,83)(32,46,64,87,108)(35,51,71,94,79)(39,55,75,97,
     45)(40,56,77,100,116)(49,68,91,90,110)(52,72,76,98,103)(57,78,102,96,107)
     (59,80,104,118,119)(63,85,74,81,69)(66,89,73,95,113)(84,99,109,112,92)
     (86,106,115,88,105)(101,111,114,120,117);