bin1 := (1,3,6)(2,4,8)(5,9,14)(7,11,17)(10,15,22)(12,18,26)(13,19,28)(16,23,33)
     (20,29,39)(21,30,41)(25,34,45)(27,36,48)(31,42,53)(32,43,54)(35,46,56)
     (37,49,57)(38,50,60)(40,52,47)(51,61,58)(55,63,65)(59,64,62);