                                  w =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nka(1,1,1,0,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nka(1,1,1,0,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nka(1,1,0,1,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nka(1,1,0,1,0,1,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nka(1,1,0,0,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(1,1,0,0,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(1,1,0,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nka(1,1,0,0,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nka(1,1,0,0,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(1,0,0,0,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(1,0,0,0,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(1,0,0,0,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(1,0,0,0,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nka(1,0,0,0,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,1,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,1,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,1,0,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,1,0,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,1,1,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,0,1,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,1,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nka(0,1,1,0,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,0,1,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,0,1,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,0,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,0,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,0,0,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,0,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,0,0,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,0,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,1,1,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,1,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,1,0,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,1,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,1,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,1,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,1,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,1,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,1,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,1,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,0,1,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,0,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,0,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,0,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,1,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,0,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,0,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,0,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,0,0,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,0,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,1,0,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,1,0,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,1,1,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,1,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,1,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,1,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,0,0,1,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,0,0,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,0,0,1,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,0,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,0,0,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,0,1,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,0,0,1,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,0,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,0,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,0,0,0,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,0,0,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,0,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,0,0,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,1,1,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,1,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,1,1,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,1,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,1,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,0,1,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,0,1,1,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,1,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,1,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,1,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,1,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,1,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,0,1,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,0,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,0,1,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,0,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,0,0,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,0,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,1,0,0,0,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,0,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,1,0,0,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,1,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,1,1,1,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,1,1,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,1,1,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,1,1,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,1,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,1,1,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,1,0,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,1,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,1,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,1,0,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,1,0,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,1,0,1,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,0,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,0,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,0,1,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,0,1,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,0,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,0,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,0,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,0,1,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,0,1,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,0,1,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,0,1,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,0,0,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,0,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,0,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,0,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,0,0,1,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,0,0,1,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,1,1,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,1,1,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,1,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,1,1,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,1,1,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,1,1,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,1,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,1,0,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,1,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,1,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,1,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,1,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,0,1,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,0,1,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,0,1,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,0,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,0,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,0,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,0,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,0,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,1,0,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,1,0,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,0,1,1,1,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,0,1,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,0,1,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,0,1,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,0,1,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,0,1,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,0,1,0,1,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,0,0,1,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,0,0,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,0,0,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkc(0,0,0,0,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,0,0,1,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nkb(0,0,0,0,0,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,1,0,1,0,1,1,1,_,_,_,_) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,1,0,0,1,1,1,_,_) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,1,0,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,1,0,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,1,0,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,1,0,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,1,0,0,1,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,0,0,1,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,0,0,1,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,0,0,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,0,0,0,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,0,0,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,0,0,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,0,0,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,0,0,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,0,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,0,0,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,1,0,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,1,0,0,1,1,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,1,0,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,1,0,0,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,1,0,0,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,1,0,1,0,0,1,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,1,0,0,1,1,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,0,0,1,0,1,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,0,0,1,1,0,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,0,0,1,1,0,1,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,0,0,1,0,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,0,0,1,0,1,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,0,0,1,0,0,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,1,0,0,0,1,0,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,0,0,1,1,1,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,0,0,1,1,0,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,0,0,1,1,0,0,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,0,0,1,1,0,0,1,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,0,0,1,1,1,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,1,1,0,0,1,0,1,1,1,_,_) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,1,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,1,1,0,0,1,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,1,1,0,0,1,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,1,1,0,0,1,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,1,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,1,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,0,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,1,1,0,0,1,0,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,0,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,1,1,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,1,1,0,0,1,0,1,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,1,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,1,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,1,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,0,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,0,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,0,1,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,1,0,1,0,0,0,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,1,1,1,1,0,1,1,_,_) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,1,1,1,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,1,1,1,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,1,1,1,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,1,1,1,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,1,1,1,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,1,1,1,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,0,1,0,1,0,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,0,1,0,1,0,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,0,1,0,1,0,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,0,1,0,1,0,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,0,1,0,1,0,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,0,1,0,1,0,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,0,1,0,1,0,0,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,0,1,0,1,0,0,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,0,1,0,1,0,0,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,0,1,1,1,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,0,1,1,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,0,1,1,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,0,1,1,1,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,0,1,1,1,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,0,1,1,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,0,1,1,1,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,0,1,1,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,0,1,1,1,1,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,0,1,1,1,1,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,0,1,1,1,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,0,1,1,1,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,0,1,1,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(1,0,0,0,0,1,0,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,0,1,1,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,0,1,1,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,0,1,1,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(1,0,0,0,0,1,1,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,1,_,_,_,_,_,_,_,_) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,1,1,_,_,_,_) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,0,1,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,1,0,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,0,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,0,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,1,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,1,0,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,1,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,1,1,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,0,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,1,0,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,1,0,0,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,1,0,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,1,0,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,1,0,1,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,1,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,1,0,1,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,1,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,1,0,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,1,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,1,0,1,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,1,0,1,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,1,0,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,0,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,1,0,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,1,0,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,1,0,0,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,1,0,0,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,1,0,0,1,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,0,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,0,0,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,1,0,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,1,0,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,1,0,0,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,1,0,0,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,0,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,1,0,0,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,0,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,1,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,1,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,1,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,1,1,0,0,1,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,1,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,1,0,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,1,0,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,1,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,1,0,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,1,0,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,1,0,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,1,0,1,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,1,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,1,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,1,0,0,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,1,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,1,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,1,0,1,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,1,1,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,1,1,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,1,0,0,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,1,1,0,0,1,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,1,0,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,1,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,1,0,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,1,0,0,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,1,0,0,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,1,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,0,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,1,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,1,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,1,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,1,0,1,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,1,0,1,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,0,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,0,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,1,0,0,1,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,0,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,0,0,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,1,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,0,0,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,0,1,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,0,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,0,1,1,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,0,1,1,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,1,0,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,1,0,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,1,0,1,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,1,0,0,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,0,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,0,1,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,0,1,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,1,0,0,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,0,0,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,0,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,0,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,1,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,0,0,1,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,1,0,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,0,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,0,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,0,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,0,0,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,0,0,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,1,0,0,0,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,1,0,0,0,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,1,0,0,0,0,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,1,1,_,_,_,_) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,1,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,1,1,1,_,_) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,1,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,1,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,1,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,1,1,0,0,0,1,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,1,0,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,1,0,1,0,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,1,0,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,1,0,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,1,0,1,0,1,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,1,0,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,1,0,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,1,0,1,0,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,1,0,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,1,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,0,0,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,0,1,1,1,_,_) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,0,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,0,1,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,0,1,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,1,0,0,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,1,0,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,1,0,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,1,0,0,1,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,0,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,1,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,1,0,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,1,0,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,1,0,0,1,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,1,0,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,1,0,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,1,0,0,0,1,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,1,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,1,0,0,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,1,0,0,0,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,1,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,1,0,0,1,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,1,0,0,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,1,0,1,1,_,_) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,0,1,1,1,0,0,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,1,1,1,_,_) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,0,0,1,1,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,0,0,1,1,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,0,1,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,0,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,1,1,1,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,1,1,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,0,0,1,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,0,0,1,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,0,0,1,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,0,1,1,1,0,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,1,1,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,1,1,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,0,0,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,0,1,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,0,0,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,0,1,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,1,0,1,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,0,0,1,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,1,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,1,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,1,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,0,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,0,0,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,1,0,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,0,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,1,0,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,1,0,1,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,1,0,1,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,0,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,0,0,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,0,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,1,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,1,0,0,1,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,1,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,0,1,1,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,0,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,0,1,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,0,1,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,1,0,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,0,0,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,0,1,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,1,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,0,0,1,1,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,1,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,0,0,1,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,1,0,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,0,0,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,1,0,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,0,1,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,0,0,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,0,0,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,0,0,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,0,1,1,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,0,0,1,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,0,0,1,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,1,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,1,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,1,0,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,1,0,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,1,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,1,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,0,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,0,0,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,0,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,0,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,0,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,0,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,0,1,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,0,0,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,0,1,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,0,1,1,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,0,1,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,0,1,1,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,0,0,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,0,1,1,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,0,0,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,0,1,0,1,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,1,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,0,1,1,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,0,1,0,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,0,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,0,1,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,0,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,0,1,1,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,1,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,1,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,1,0,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,0,1,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,0,1,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,0,0,1,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,1,0,0,0,0,1,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,0,1,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,0,0,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,0,1,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,1,0,1,1,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,1,0,0,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,0,0,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,0,0,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,0,0,1,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,1,0,0,0,0,1,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,1,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,1,0,1,1,1,_,_) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,1,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,0,0,1,1,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,1,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,1,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,0,0,1,1,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,1,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,1,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,1,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,1,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,1,0,1,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,1,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,1,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,1,1,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,1,1,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,1,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,1,1,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,0,0,1,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,0,0,1,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,1,1,1,1,_,_) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,1,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,1,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,1,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,1,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,0,0,1,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,0,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,1,0,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,1,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,0,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,0,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,1,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,1,0,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,0,0,1,1,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,1,0,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,0,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,0,1,1,1,1,_,_) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,1,0,1,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,0,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,1,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,0,1,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,0,1,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,1,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,0,0,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,1,1,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,1,1,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,1,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,0,1,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,1,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,0,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,1,1,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,1,0,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,0,1,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,0,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,0,1,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,0,0,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,0,0,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,0,0,1,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,1,1,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,0,0,1,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,1,1,1,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,0,0,1,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,0,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,1,0,0,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,0,1,1,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,0,1,1,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,1,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,1,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,0,1,1,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,1,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,1,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,1,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,0,1,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,1,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,0,1,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,1,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,1,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,0,1,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,0,1,0,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,0,1,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,0,1,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,1,0,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,1,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,1,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,1,0,0,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,1,0,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,1,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,1,0,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,1,1,0,0,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,1,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,0,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,1,0,0,0,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,0,0,1,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,1,1,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,1,0,1,0,0,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,1,1,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,1,1,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,1,0,0,1,0,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,1,1,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,1,1,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,1,1,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,1,1,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,1,0,1,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,1,0,1,1,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,1,0,1,1,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,1,0,1,1,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,1,0,1,1,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,1,0,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,1,0,1,0,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,0,1,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,0,1,1,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,1,0,1,1,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,0,0,1,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,0,0,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,1,0,1,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,1,1,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,1,0,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,1,0,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,1,0,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,1,0,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,1,1,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,1,1,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,1,0,0,1,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,1,1,0,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,1,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,0,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,1,1,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,0,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,1,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,1,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,1,1,1,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,1,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,1,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,1,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,1,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,1,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,1,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,1,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,1,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,1,1,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,1,1,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,1,0,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,1,1,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,1,1,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,0,1,1,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,0,1,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,1,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,1,1,1,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,1,1,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,1,0,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,1,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,0,1,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,0,1,1,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,0,1,1,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,0,1,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,0,0,1,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,0,0,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,1,1,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,0,1,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,0,0,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,0,0,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,1,1,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,0,0,1,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,0,0,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,1,1,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,0,0,1,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,0,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,0,0,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,0,0,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,0,0,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,1,0,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,0,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,0,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,0,1,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,0,1,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,1,0,0,0,0,1,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,1,1,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,1,1,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,1,0,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,1,1,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,1,1,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,1,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,1,0,0,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,1,0,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,1,0,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,0,0,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,0,1,1,0,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,1,0,0,0,0,0,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,1,0,1,1,_,_) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,0,1,0,1,0,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,0,1,1,0,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,0,1,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,0,1,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,0,1,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,0,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,0,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,0,1,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,0,1,1,0,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,0,1,0,0,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,0,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,0,1,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,0,1,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,0,1,1,1,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,0,1,1,1,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,0,1,1,1,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,0,1,1,1,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,0,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,0,1,1,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,0,1,1,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,1,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,1,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,0,1,1,0,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,1,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,1,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,1,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,0,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,1,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,1,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,0,1,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,0,1,0,1,1,1,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,1,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,0,1,0,1,1,1,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,0,1,0,1,1,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,0,0,0,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,0,1,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,0,0,0,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,1,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,0,1,0,1,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,0,1,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,0,0,1,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,0,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,1,1,0,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,0,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,0,0,0,0,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,1,0,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,1,0,0,0,0,0,0,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,0,0,1,1,0,1,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,1,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,0,0,1,0,1,1,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,0,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,0,0,1,0,0,1,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,0,0,1,1,1,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,1,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,1,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,0,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,1,1,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,1,1,1,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,1,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,0,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,0,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,1,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,1,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,1,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,0,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,1,1,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,0,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,0,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,1,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,0,1,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,1,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,0,1,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,0,1,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,1,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,0,1,1,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,1,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,1,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,0,1,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,1,1,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,1,1,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,0,1,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,0,1,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,0,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,0,1,1,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,0,1,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,0,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,0,1,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,0,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,0,0,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,1,1,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,0,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,1,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,0,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,0,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,0,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,0,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,0,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,0,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,1,1,1,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,1,1,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,1,1,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,1,1,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,1,1,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,1,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,1,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,1,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,1,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,0,1,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,1,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,0,1,1,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,0,0,1,0,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,0,1,1,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,1,1,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,0,1,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,1,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,0,1,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,0,0,1,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,0,1,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,0,1,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,1,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,0,1,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,0,1,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,1,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,1,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,0,1,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,0,1,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,0,1,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,0,0,0,1,0,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,0,1,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,0,1,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,0,0,0,0,1,1,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,0,0,1,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,1,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,0,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,0,0,1,1,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,1,1,0,1,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,0,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nkd(0,0,1,0,0,0,0,1,0,1,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,0,0,1,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,0,0,1,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,0,0,1,0,0,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,0,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,0,0,0,1,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,0,0,0,1,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,1,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,0,1,1,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,1,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,0,1,0,1,1,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,0,0,0,0,1,1) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,0,1,0,1,0,0,0,0,0,1,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
     nke(0,0,1,0,0,0,0,1,0,1,0,0,0) =          0 /          1 == 0.0000000000 =/= 0.0000000000
           nka(1,1,1,0,1,0,0,0,1,0) =        -69 /        370 == -0.1864864865 =/= -0.1864862370
           nkb(1,1,0,_,_,1,1,1,_,_) =        107 /        248 == 0.4314516129 =/= 0.4314516150
           nkb(1,1,0,1,1,_,_,1,1,_) =        107 /        248 == 0.4314516129 =/= 0.4314516150
           nka(1,1,0,1,0,0,0,1,0,1) =          5 /        313 == 0.0159744409 =/= 0.0159746238
           nkc(1,1,0,1,0,0,0,1,0,0) =        -59 /        231 == -0.2554112554 =/= -0.2554114404
           nkb(1,1,0,0,1,_,_,1,1,_) =        107 /        248 == 0.4314516129 =/= 0.4314516150
           nkc(1,1,0,0,0,1,0,1,1,0) =        -49 /         99 == -0.4949494949 =/= -0.4949496828
           nkc(1,1,0,0,0,1,1,1,0,1) =          3 /         89 == 0.0337078652 =/= 0.0337077777
           nkc(1,1,0,0,0,1,0,1,0,1) =          3 /         89 == 0.0337078652 =/= 0.0337077777
           nkc(1,1,0,0,0,0,1,1,0,1) =          3 /         89 == 0.0337078652 =/= 0.0337077777
           nka(1,1,0,1,1,1,1,0,1,0) =        -25 /        288 == -0.0868055556 =/= -0.0868055501
           nka(1,1,0,1,1,0,1,0,1,0) =        -25 /        288 == -0.0868055556 =/= -0.0868055501
           nkc(1,1,0,1,0,1,0,0,1,1) =       -215 /        299 == -0.7190635452 =/= -0.7190639549
           nkc(1,1,0,1,0,1,1,0,0,1) =       -167 /        222 == -0.7522522523 =/= -0.7522526016
           nkc(1,1,0,1,0,1,0,0,0,1) =       -283 /        323 == -0.8761609907 =/= -0.8761611206
           nkb(1,1,0,1,0,1,1,0,0,0) =         68 /        215 == 0.3162790698 =/= 0.3162789011
           nka(1,0,1,1,0,1,1,1,1,0) =         -5 /        211 == -0.0236966825 =/= -0.0236969625
           nkc(1,0,1,1,0,1,0,1,1,0) =        -81 /        319 == -0.2539184953 =/= -0.2539185428
           nka(1,0,1,1,0,0,1,1,1,0) =         -5 /        211 == -0.0236966825 =/= -0.0236969625
           nka(1,0,1,1,0,0,0,1,1,0) =         -5 /        211 == -0.0236966825 =/= -0.0236969625
           nka(1,0,1,1,0,0,1,1,0,0) =         -5 /        211 == -0.0236966825 =/= -0.0236969625
           nka(1,0,1,1,0,0,0,1,0,0) =         -5 /        211 == -0.0236966825 =/= -0.0236969625
           nkc(1,0,1,1,1,1,0,0,0,1) =       -143 /        359 == -0.3983286908 =/= -0.3983286511
           nkc(1,0,1,1,1,0,1,0,0,0) =       -263 /        369 == -0.7127371274 =/= -0.7127375724
           nkb(1,0,1,1,1,0,0,0,0,0) =       -162 /        239 == -0.6778242678 =/= -0.6778241602
           nkc(1,0,1,1,0,1,0,0,1,1) =          3 /        143 == 0.0209790210 =/= 0.0209786465
           nkc(1,0,1,1,0,1,0,0,0,1) =       -143 /        359 == -0.3983286908 =/= -0.3983286511
           nkb(1,0,1,0,0,0,0,0,1,1) =       -169 /        345 == -0.4898550725 =/= -0.4898546538
           nkc(1,0,0,1,1,1,1,1,0,0) =       -146 /        231 == -0.6320346320 =/= -0.6320344505
           nkb(1,0,0,1,0,0,0,1,1,0) =       -146 /        249 == -0.5863453815 =/= -0.5863456390
           nkb(1,0,0,0,1,1,0,0,1,0) =        -52 /        269 == -0.1933085502 =/= -0.1933085374
           nkc(1,0,0,0,1,1,1,0,0,1) =        -31 /        126 == -0.2460317460 =/= -0.2460321291
           nka(0,1,1,1,0,1,0,1,0,1) =        115 /        331 == 0.3474320242 =/= 0.3474321740
           nkc(0,1,1,1,0,0,1,1,0,1) =          5 /        152 == 0.0328947368 =/= 0.0328945251
           nka(0,1,1,1,0,1,1,1,0,0) =         87 /        287 == 0.3031358885 =/= 0.3031362851
           nka(0,1,1,0,1,1,1,1,1,0) =         73 /        256 == 0.2851562500 =/= 0.2851558317
           nka(0,1,1,0,1,0,0,1,0,1) =         -3 /        260 == -0.0115384615 =/= -0.0115381369
           nka(0,1,1,0,0,1,0,1,1,1) =          5 /        228 == 0.0219298246 =/= 0.0219302549
           nka(0,1,1,0,0,1,1,1,1,0) =         73 /        256 == 0.2851562500 =/= 0.2851558317
           nka(0,1,1,0,0,1,1,1,0,1) =         73 /        256 == 0.2851562500 =/= 0.2851558317
           nka(0,1,1,0,0,0,1,1,0,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nka(0,1,1,0,0,0,0,1,0,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nka(0,1,1,0,0,1,0,1,0,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nkc(0,1,1,1,1,0,1,0,1,0) =         57 /        245 == 0.2326530612 =/= 0.2326531608
           nka(0,1,1,1,1,1,1,0,0,1) =         81 /        344 == 0.2354651163 =/= 0.2354649890
           nkc(0,1,1,1,1,1,1,0,0,1) =         16 /        335 == 0.0477611940 =/= 0.0477609834
           nka(0,1,1,1,0,1,1,0,0,1) =          7 /         15 == 0.4666666667 =/= 0.4666666667
           nkc(0,1,1,1,0,1,1,0,0,1) =         16 /        335 == 0.0477611940 =/= 0.0477609834
           nka(0,1,1,1,0,0,1,0,0,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nkb(0,1,1,0,1,0,1,0,1,1) =         57 /        245 == 0.2326530612 =/= 0.2326531608
           nka(0,1,1,0,1,1,0,0,1,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nkc(0,1,1,0,1,0,1,0,1,0) =         -3 /        188 == -0.0159574468 =/= -0.0159570820
           nka(0,1,1,0,1,0,0,0,1,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nkc(0,1,1,0,1,1,1,0,0,1) =         16 /        335 == 0.0477611940 =/= 0.0477609834
           nkb(0,1,1,0,0,0,1,0,1,1) =         57 /        245 == 0.2326530612 =/= 0.2326531608
           nka(0,1,1,0,0,1,0,0,1,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nkc(0,1,1,0,0,0,1,0,1,0) =         -3 /        188 == -0.0159574468 =/= -0.0159570820
           nka(0,1,1,0,0,0,0,0,1,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nka(0,1,1,0,0,1,1,0,0,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nkc(0,1,1,0,0,0,1,0,0,1) =        -28 /        319 == -0.0877742947 =/= -0.0877743046
           nka(0,1,0,1,1,1,1,1,0,0) =         97 /        234 == 0.4145299145 =/= 0.4145294715
           nkc(0,1,0,1,1,1,1,1,0,0) =        -45 /        238 == -0.1890756303 =/= -0.1890756934
           nka(0,1,0,1,0,1,1,1,0,1) =         82 /        169 == 0.4852071006 =/= 0.4852071381
           nkc(0,1,0,1,0,1,0,1,0,0) =        -49 /        323 == -0.1517027864 =/= -0.1517030032
           nkb(0,1,0,0,1,0,1,1,1,1) =          1 /        129 == 0.0077519380 =/= 0.0077516190
           nka(0,1,0,0,1,0,0,1,1,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nkc(0,1,0,0,1,1,1,1,1,0) =         -4 /         63 == -0.0634920635 =/= -0.0634920007
           nkc(0,1,0,0,1,0,1,1,1,0) =         -4 /         63 == -0.0634920635 =/= -0.0634920007
           nkc(0,1,0,0,1,1,1,1,0,0) =         -4 /         63 == -0.0634920635 =/= -0.0634920007
           nka(0,1,0,1,1,0,0,0,1,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nka(0,1,0,1,1,0,1,0,0,1) =        197 /        342 == 0.5760233918 =/= 0.5760231604
           nkc(0,1,0,1,0,1,1,0,1,1) =        -89 /        341 == -0.2609970674 =/= -0.2609973753
           nkc(0,1,0,0,1,1,1,0,1,1) =        -21 /        256 == -0.0820312500 =/= -0.0820308894
           nkc(0,1,0,0,1,0,1,0,1,1) =        -21 /        256 == -0.0820312500 =/= -0.0820308894
           nka(0,1,0,0,1,1,0,0,1,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nkc(0,1,0,0,1,0,1,0,0,0) =        -71 /        317 == -0.2239747634 =/= -0.2239744655
           nkc(0,1,0,0,0,1,0,0,1,1) =          5 /        199 == 0.0251256281 =/= 0.0251258919
           nkb(0,0,1,1,1,_,_,1,1,_) =         22 /        239 == 0.0920502092 =/= 0.0920502776
           nka(0,0,1,1,1,1,0,1,0,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nka(0,0,1,1,0,1,0,1,0,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nka(0,0,1,0,1,1,0,1,1,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nka(0,0,1,0,1,0,1,1,1,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nka(0,0,1,0,1,1,0,1,1,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nka(0,0,1,0,1,0,1,1,0,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nka(0,0,1,0,1,1,1,1,0,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nkb(0,0,1,0,1,1,0,1,0,0) =        -22 /        239 == -0.0920502092 =/= -0.0920502776
           nka(0,0,1,0,0,1,0,1,1,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nka(0,0,1,1,1,1,1,0,1,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nka(0,0,1,1,1,0,1,0,1,1) =        132 /        203 == 0.6502463054 =/= 0.6502465081
           nka(0,0,1,1,1,0,0,0,1,1) =        100 /        143 == 0.6993006993 =/= 0.6993009668
           nkb(0,0,1,1,1,1,1,0,1,0) =         28 /        319 == 0.0877742947 =/= 0.0877743046
           nkb(0,0,1,1,1,1,1,0,0,1) =         16 /        335 == 0.0477611940 =/= 0.0477609834
           nka(0,0,1,1,1,0,1,0,0,1) =        132 /        203 == 0.6502463054 =/= 0.6502465081
           nkc(0,0,1,1,1,0,1,0,0,1) =         16 /        335 == 0.0477611940 =/= 0.0477609834
           nka(0,0,1,1,1,1,1,0,0,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nkc(0,0,1,1,0,1,1,0,1,1) =         16 /        335 == 0.0477611940 =/= 0.0477609834
           nkb(0,0,1,1,0,1,1,0,1,0) =         28 /        319 == 0.0877742947 =/= 0.0877743046
           nkb(0,0,1,1,0,1,1,0,0,1) =         16 /        335 == 0.0477611940 =/= 0.0477609834
           nka(0,0,1,1,0,1,1,0,0,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nkb(0,0,1,0,1,1,1,0,1,1) =        -28 /        319 == -0.0877742947 =/= -0.0877743046
           nka(0,0,1,0,1,1,1,0,1,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nkc(0,0,1,0,1,0,1,0,0,1) =         16 /        335 == 0.0477611940 =/= 0.0477609834
           nkb(0,0,1,0,1,1,1,0,0,0) =        -28 /        319 == -0.0877742947 =/= -0.0877743046
           nka(0,0,1,0,1,0,1,0,0,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nka(0,0,1,0,0,1,1,0,0,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nkb(0,0,0,1,1,1,1,1,1,0) =         22 /        239 == 0.0920502092 =/= 0.0920502776
           nkb(0,0,0,1,1,0,0,1,1,0) =         11 /        167 == 0.0658682635 =/= 0.0658685818
           nkc(0,0,0,1,1,0,0,1,1,0) =        -94 /        363 == -0.2589531680 =/= -0.2589531648
           nka(0,0,0,1,1,0,1,1,0,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nka(0,0,0,1,0,1,0,1,1,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nka(0,0,0,0,1,0,0,1,1,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
           nkc(0,0,0,0,1,1,1,1,0,0) =         18 /        359 == 0.0501392758 =/= 0.0501390153
           nkc(0,0,0,0,0,1,1,1,0,1) =         23 /        126 == 0.1825396825 =/= 0.1825397328
     nkd(1,0,1,1,1,_,_,_,_,_,_,_,_) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nke(1,0,0,1,1,0,0,1,1,0,1,1,1) =        -58 /        345 == -0.1681159420 =/= -0.1681163033
     nke(1,1,1,0,0,0,0,1,0,1,0,1,1) =        -17 /        349 == -0.0487106017 =/= -0.0487110091
     nke(1,1,1,0,0,0,0,1,0,0,0,1,1) =        -17 /        349 == -0.0487106017 =/= -0.0487110091
     nkd(1,0,0,1,1,0,1,1,1,_,_,_,_) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nkd(1,0,0,1,1,0,0,1,0,0,1,1,1) =        -11 /         56 == -0.1964285714 =/= -0.1964282040
     nkd(1,0,0,1,1,0,0,1,0,0,0,1,1) =        -11 /         56 == -0.1964285714 =/= -0.1964282040
     nkd(1,0,0,1,1,0,0,0,0,0,1,1,1) =        -41 /        232 == -0.1767241379 =/= -0.1767245677
     nkd(1,0,0,1,1,0,1,0,0,1,1,1,0) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nke(1,1,1,0,0,1,0,0,1,1,0,1,0) =        -43 /        173 == -0.2485549133 =/= -0.2485547158
     nkd(1,1,1,0,0,1,0,1,0,0,1,1,1) =        -55 /        262 == -0.2099236641 =/= -0.2099232382
     nkd(1,1,1,0,0,1,0,1,0,0,1,1,0) =        -55 /        262 == -0.2099236641 =/= -0.2099232382
     nkd(1,1,1,0,0,1,0,1,0,0,1,0,1) =        -55 /        262 == -0.2099236641 =/= -0.2099232382
     nke(1,1,1,0,0,1,0,0,1,0,1,1,0) =        -43 /        173 == -0.2485549133 =/= -0.2485547158
     nkd(1,0,0,1,1,0,0,0,1,1,0,1,0) =       -108 /        307 == -0.3517915309 =/= -0.3517911078
     nkd(1,1,1,0,0,1,0,1,0,0,1,0,0) =        -55 /        262 == -0.2099236641 =/= -0.2099232382
     nke(1,1,1,0,0,1,0,0,1,0,0,1,0) =        -43 /        173 == -0.2485549133 =/= -0.2485547158
     nkd(1,0,0,1,1,0,0,1,0,0,1,1,0) =        -11 /         56 == -0.1964285714 =/= -0.1964282040
     nkd(1,0,0,1,1,0,0,0,0,0,1,1,0) =        -41 /        232 == -0.1767241379 =/= -0.1767245677
     nke(1,1,1,0,0,0,0,1,0,1,0,1,0) =        -17 /        349 == -0.0487106017 =/= -0.0487110091
     nkd(1,0,0,1,1,0,0,1,0,0,0,1,0) =        -11 /         56 == -0.1964285714 =/= -0.1964282040
     nke(1,1,1,0,0,0,0,1,0,0,1,1,0) =        -17 /        349 == -0.0487106017 =/= -0.0487110091
     nkd(1,0,0,1,1,0,0,1,0,0,1,0,1) =        -11 /         56 == -0.1964285714 =/= -0.1964282040
     nkd(1,0,0,1,1,0,0,0,0,0,1,0,1) =        -41 /        232 == -0.1767241379 =/= -0.1767245677
     nkd(1,0,0,1,1,0,0,1,0,0,0,0,1) =        -11 /         56 == -0.1964285714 =/= -0.1964282040
     nkd(1,1,1,0,0,0,1,0,0,0,1,1,1) =        -43 /        366 == -0.1174863388 =/= -0.1174866458
     nke(1,0,0,1,1,0,1,0,1,0,0,1,1) =        -18 /        329 == -0.0547112462 =/= -0.0547108245
     nkd(1,1,1,0,0,0,1,0,0,0,1,1,0) =        -43 /        366 == -0.1174863388 =/= -0.1174866458
     nke(1,1,1,0,0,0,0,1,0,0,1,0,1) =        -17 /        349 == -0.0487106017 =/= -0.0487110091
     nkd(1,1,1,0,0,0,1,0,0,0,1,0,1) =        -43 /        366 == -0.1174863388 =/= -0.1174866458
     nkd(1,1,1,0,0,0,1,0,0,0,1,0,0) =        -43 /        366 == -0.1174863388 =/= -0.1174866458
     nkd(1,0,0,1,1,0,0,0,0,0,0,0,1) =        -41 /        232 == -0.1767241379 =/= -0.1767245677
     nkd(1,1,1,0,0,0,0,1,1,0,1,0,1) =       -113 /        288 == -0.3923611111 =/= -0.3923607539
     nkd(1,0,0,1,1,0,1,0,0,1,1,0,0) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nkd(1,0,0,1,1,0,1,1,0,0,1,0,0) =        -60 /        287 == -0.2090592334 =/= -0.2090588111
     nkd(1,0,0,1,1,0,0,1,0,0,1,0,0) =        -11 /         56 == -0.1964285714 =/= -0.1964282040
     nkd(1,0,0,1,1,0,0,0,0,0,1,0,0) =        -41 /        232 == -0.1767241379 =/= -0.1767245677
     nke(1,1,1,0,0,0,0,1,0,1,1,0,0) =        -17 /        349 == -0.0487106017 =/= -0.0487110091
     nkd(1,0,0,1,1,0,0,1,0,0,0,0,0) =        -11 /         56 == -0.1964285714 =/= -0.1964282040
     nke(1,1,1,0,0,0,0,1,0,0,1,0,0) =        -17 /        349 == -0.0487106017 =/= -0.0487110091
     nkd(1,1,1,0,0,0,0,0,0,0,0,0,1) =        -34 /        203 == -0.1674876847 =/= -0.1674875691
     nkd(1,0,0,1,1,0,0,0,0,0,0,0,0) =        -11 /         56 == -0.1964285714 =/= -0.1964282040
     nkd(1,0,1,1,0,1,0,1,1,_,_,_,_) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,0,1,1,0,1,0,0,1,0,1,1,1) =        -46 /        117 == -0.3931623932 =/= -0.3931621361
     nkd(1,0,1,1,0,1,0,0,0,1,1,1,1) =        -41 /        299 == -0.1371237458 =/= -0.1371234123
     nkd(1,0,1,1,0,0,1,1,1,_,_,_,_) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,0,1,1,0,0,1,0,1,0,0,1,1) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,0,1,1,0,0,1,0,0,1,1,1,1) =        -41 /        299 == -0.1371237458 =/= -0.1371234123
     nkd(1,0,1,1,0,0,1,0,0,0,0,1,1) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,0,1,1,0,0,0,1,1,1,0,1,1) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,0,1,1,0,0,0,1,1,0,0,1,1) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,0,1,1,0,0,0,1,0,1,0,1,1) =       -219 /        313 == -0.6996805112 =/= -0.6996805550
     nkd(1,0,1,1,0,0,0,0,0,1,1,1,1) =        -41 /        299 == -0.1371237458 =/= -0.1371234123
     nkd(1,0,1,1,0,0,0,0,0,1,1,1,0) =        -41 /        299 == -0.1371237458 =/= -0.1371234123
     nkd(1,0,1,1,0,0,0,0,1,1,0,1,0) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,1,0,0,1,1,0,0,1,1,0,0,0) =         -5 /        193 == -0.0259067358 =/= -0.0259066988
     nkd(1,0,1,1,0,0,0,1,1,0,0,1,0) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nke(1,1,0,1,0,0,0,0,1,1,0,1,0) =        -31 /        276 == -0.1123188406 =/= -0.1123188119
     nkd(1,0,1,1,0,0,1,0,1,0,0,1,0) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,0,1,1,0,0,0,0,1,0,0,1,0) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,0,1,1,0,0,1,0,0,0,0,1,0) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,0,1,1,0,0,0,0,1,1,0,0,1) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,1,0,0,1,0,1,0,1,1,0,0,1) =       -120 /        211 == -0.5687203791 =/= -0.5687206373
     nkd(1,0,1,1,0,0,1,0,1,0,0,0,1) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,0,1,1,0,0,0,0,1,0,0,0,1) =        -47 /        157 == -0.2993630573 =/= -0.2993633522
     nkd(1,0,1,1,0,0,0,0,0,0,0,0,1) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,0,1,1,0,0,0,1,1,1,0,0,0) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,0,1,1,0,0,0,0,1,1,0,0,0) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,0,1,1,0,0,1,0,0,1,0,0,0) =        -53 /        225 == -0.2355555556 =/= -0.2355559952
     nkd(1,0,1,1,0,0,0,0,0,1,0,0,0) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,1,0,0,1,0,0,0,1,0,0,0,0) =        -39 /        161 == -0.2422360248 =/= -0.2422363787
     nkd(1,0,1,1,0,0,1,0,1,0,0,0,0) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,0,1,1,0,0,0,0,1,0,0,0,0) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,0,1,1,0,0,1,0,0,0,0,0,0) =        -62 /        307 == -0.2019543974 =/= -0.2019547871
     nkd(1,1,0,1,0,0,1,1,0,0,1,1,1) =       -102 /        223 == -0.4573991031 =/= -0.4573988050
     nkd(1,1,0,1,0,1,0,0,1,1,0,1,0) =       -139 /        339 == -0.4100294985 =/= -0.4100296759
     nke(1,1,0,0,1,0,0,1,0,1,0,1,0) =        -36 /        229 == -0.1572052402 =/= -0.1572050541
     nke(1,1,0,0,1,1,0,0,1,0,0,1,0) =        -17 /        184 == -0.0923913043 =/= -0.0923914850
     nke(1,1,0,0,1,0,0,1,0,0,1,1,0) =        -36 /        229 == -0.1572052402 =/= -0.1572050541
     nke(1,1,0,0,1,0,1,1,0,0,0,0,0) =        -29 /        113 == -0.2566371681 =/= -0.2566369907
     nke(1,1,0,0,1,0,0,1,0,0,0,1,0) =        -36 /        229 == -0.1572052402 =/= -0.1572050541
     nkd(1,0,0,1,0,0,0,1,1,1,1,1,1) =        -60 /        173 == -0.3468208092 =/= -0.3468205859
     nkd(1,0,0,1,0,0,0,1,0,0,1,1,1) =         -9 /        143 == -0.0629370629 =/= -0.0629371266
     nke(1,0,0,0,1,0,0,1,1,0,1,0,0) =        -93 /        326 == -0.2852760736 =/= -0.2852759862
     nke(1,1,0,0,0,0,0,1,0,1,1,1,1) =        -17 /        349 == -0.0487106017 =/= -0.0487110091
     nkd(1,0,0,1,0,0,0,1,0,0,0,1,1) =         -9 /        143 == -0.0629370629 =/= -0.0629371266
     nke(1,1,0,0,0,0,0,1,0,0,1,1,1) =        -17 /        349 == -0.0487106017 =/= -0.0487110091
     nke(1,1,0,0,0,0,0,1,0,0,0,1,1) =        -17 /        349 == -0.0487106017 =/= -0.0487110091
     nkd(1,0,0,1,0,0,0,1,1,1,1,1,0) =       -200 /        331 == -0.6042296073 =/= -0.6042291510
     nke(1,0,0,0,1,1,0,1,0,1,1,1,0) =         -5 /         33 == -0.1515151515 =/= -0.1515151875
     nkd(1,0,0,1,0,0,1,1,0,1,1,1,0) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nkd(1,0,0,1,0,0,1,0,1,1,1,1,0) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nkd(1,1,0,0,0,1,0,1,1,0,0,1,1) =         27 /        271 == 0.0996309963 =/= 0.0996310951
     nke(1,0,0,0,1,1,0,1,0,1,0,1,0) =         -5 /         33 == -0.1515151515 =/= -0.1515151875
     nke(1,0,0,0,1,1,0,1,0,0,1,1,0) =         -5 /         33 == -0.1515151515 =/= -0.1515151875
     nkd(1,0,0,1,0,0,0,1,0,0,1,1,0) =         -9 /        143 == -0.0629370629 =/= -0.0629371266
     nkd(1,1,0,0,0,1,0,0,1,0,0,1,1) =         27 /        271 == 0.0996309963 =/= 0.0996310951
     nkd(1,1,0,0,0,1,0,0,1,0,0,1,0) =         27 /        271 == 0.0996309963 =/= 0.0996310951
     nkd(1,1,0,0,0,1,0,0,1,0,0,0,1) =         27 /        271 == 0.0996309963 =/= 0.0996310951
     nkd(1,1,0,0,0,1,0,0,1,0,0,0,0) =         27 /        271 == 0.0996309963 =/= 0.0996310951
     nke(1,1,0,0,0,0,0,0,1,1,1,1,0) =        -36 /        229 == -0.1572052402 =/= -0.1572050541
     nke(1,0,0,0,1,1,0,1,0,0,0,1,0) =         -5 /         33 == -0.1515151515 =/= -0.1515151875
     nke(1,1,0,0,0,0,0,1,0,0,1,1,0) =        -54 /        319 == -0.1692789969 =/= -0.1692790725
     nke(1,1,0,0,0,0,0,0,1,0,1,1,0) =        -36 /        229 == -0.1572052402 =/= -0.1572050541
     nke(1,1,0,0,0,0,0,0,1,0,0,1,0) =        -36 /        229 == -0.1572052402 =/= -0.1572050541
     nkd(1,0,0,1,0,0,1,1,0,1,1,0,1) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nkd(1,0,0,1,0,0,1,0,1,1,1,0,1) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nkd(1,0,0,1,0,1,0,0,0,1,1,0,1) =        -63 /        151 == -0.4172185430 =/= -0.4172185072
     nke(1,0,0,0,1,0,0,0,1,1,1,0,1) =        -89 /        136 == -0.6544117647 =/= -0.6544120867
     nke(1,0,0,0,1,0,0,0,1,1,1,0,0) =         -9 /         23 == -0.3913043478 =/= -0.3913041586
     nke(1,1,0,0,0,1,0,0,1,1,1,0,1) =         -6 /        215 == -0.0279069767 =/= -0.0279068571
     nkd(1,1,0,0,0,0,1,1,0,1,0,0,1) =       -166 /        337 == -0.4925816024 =/= -0.4925811472
     nke(1,1,0,0,0,1,0,0,1,1,0,0,1) =         -6 /        215 == -0.0279069767 =/= -0.0279068571
     nke(1,1,0,0,0,1,0,0,0,1,0,0,1) =        -12 /        215 == -0.0558139535 =/= -0.0558138461
     nke(1,1,0,0,0,1,0,1,0,0,1,0,1) =        -61 /        314 == -0.1942675159 =/= -0.1942679276
     nke(1,1,0,0,0,1,0,0,1,0,1,0,1) =         -6 /        215 == -0.0279069767 =/= -0.0279068571
     nke(1,0,0,0,1,0,0,0,1,1,0,0,0) =        -55 /        153 == -0.3594771242 =/= -0.3594774397
     nkd(1,0,0,1,0,0,0,1,0,0,1,0,1) =         -9 /        143 == -0.0629370629 =/= -0.0629371266
     nke(1,1,0,0,0,0,0,1,0,1,1,0,1) =        -17 /        349 == -0.0487106017 =/= -0.0487110091
     nke(1,1,0,0,0,0,0,1,0,1,0,0,1) =        -17 /        349 == -0.0487106017 =/= -0.0487110091
     nkd(1,0,0,1,0,0,0,1,0,0,0,0,1) =         -9 /        143 == -0.0629370629 =/= -0.0629371266
     nke(1,1,0,0,0,0,0,1,0,0,1,0,1) =        -17 /        349 == -0.0487106017 =/= -0.0487110091
     nke(1,1,0,0,0,0,0,1,0,0,0,0,1) =        -17 /        349 == -0.0487106017 =/= -0.0487110091
     nkd(1,0,0,1,0,0,0,1,1,1,1,0,0) =        -60 /        173 == -0.3468208092 =/= -0.3468205859
     nkd(1,0,0,1,0,0,1,1,0,1,1,0,0) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nkd(1,0,0,1,0,0,1,0,1,1,1,0,0) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nkd(1,0,0,1,0,0,0,1,0,0,1,0,0) =         -9 /        143 == -0.0629370629 =/= -0.0629371266
     nkd(1,0,0,1,0,0,0,1,0,0,0,0,0) =         -9 /        143 == -0.0629370629 =/= -0.0629371266
     nkd(1,1,0,0,0,0,0,0,0,0,0,1,1) =         33 /        325 == 0.1015384615 =/= 0.1015386645
     nkd(1,0,1,0,1,1,0,0,1,0,0,1,1) =        -43 /        161 == -0.2670807453 =/= -0.2670808109
     nkd(1,0,1,0,1,1,0,0,0,0,1,1,1) =        -84 /        211 == -0.3981042654 =/= -0.3981039054
     nkd(1,0,1,0,1,0,1,0,1,1,0,1,1) =        -43 /        161 == -0.2670807453 =/= -0.2670808109
     nkd(1,0,1,0,1,0,1,0,1,0,0,1,1) =        -43 /        161 == -0.2670807453 =/= -0.2670808109
     nke(1,0,1,1,0,0,1,0,0,1,1,1,1) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nke(1,0,1,1,0,0,0,0,0,1,1,1,1) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nke(1,0,1,1,0,0,1,0,0,1,0,1,1) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nke(1,0,1,1,0,0,0,0,0,1,0,1,1) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nkd(1,0,1,0,1,0,0,0,1,1,1,1,1) =        -43 /        161 == -0.2670807453 =/= -0.2670808109
     nke(1,0,1,1,0,0,0,0,0,0,1,1,1) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nke(1,0,1,1,0,0,1,0,0,0,0,1,1) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nke(1,0,1,1,0,0,0,0,0,0,0,1,1) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nke(1,0,1,1,0,0,1,0,0,1,0,1,0) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nke(1,0,1,1,0,0,1,0,0,0,1,1,0) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nke(1,0,1,1,0,0,1,0,0,0,0,1,0) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nkd(1,0,1,0,1,1,0,0,0,0,1,0,1) =        -84 /        211 == -0.3981042654 =/= -0.3981039054
     nkd(1,0,1,0,1,0,0,0,1,1,1,0,1) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nke(1,0,1,1,0,0,1,0,1,1,0,0,0) =        -52 /        211 == -0.2464454976 =/= -0.2464457458
     nke(1,0,1,1,0,0,1,0,0,0,0,0,1) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nkd(1,0,1,0,1,0,0,0,0,0,0,0,1) =        -34 /        361 == -0.0941828255 =/= -0.0941825928
     nke(1,0,1,1,0,0,0,0,0,1,1,0,0) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nke(1,0,1,1,0,0,1,0,0,1,0,0,0) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nke(1,0,1,1,0,0,0,0,0,1,0,0,0) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nke(1,0,1,1,0,0,1,0,0,0,1,0,0) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nke(1,0,1,1,0,0,0,0,0,0,1,0,0) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nke(1,0,1,1,0,0,1,0,0,0,0,0,0) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nke(1,0,1,1,0,0,0,0,0,0,0,0,0) =        -23 /         75 == -0.3066666667 =/= -0.3066666667
     nke(1,0,1,0,0,1,0,0,1,1,1,1,1) =       -161 /        328 == -0.4908536585 =/= -0.4908537438
     nke(1,0,1,0,0,1,0,0,1,1,0,1,1) =        -31 /        126 == -0.2460317460 =/= -0.2460321291
     nke(1,0,1,0,0,1,0,0,1,0,0,1,1) =        -31 /        126 == -0.2460317460 =/= -0.2460321291
     nke(1,0,1,0,0,0,1,0,0,1,0,1,1) =         -8 /        171 == -0.0467836257 =/= -0.0467839196
     nkd(1,0,0,0,1,1,0,1,0,0,0,1,1) =        -86 /        239 == -0.3598326360 =/= -0.3598324958
     nkd(1,0,0,0,1,0,0,1,0,0,0,1,1) =        -11 /         56 == -0.1964285714 =/= -0.1964282040
     nkd(1,0,0,0,1,0,0,0,0,0,0,1,1) =        -41 /        232 == -0.1767241379 =/= -0.1767245677
     nkd(1,0,1,0,0,1,0,1,0,1,1,0,1) =        -58 /        185 == -0.3135135135 =/= -0.3135134993
     nke(1,0,1,0,0,1,0,0,1,1,1,1,0) =        -31 /        126 == -0.2460317460 =/= -0.2460321291
     nke(1,0,1,0,0,1,0,0,1,1,0,1,0) =        -31 /        126 == -0.2460317460 =/= -0.2460321291
     nke(1,0,1,0,0,1,0,0,1,0,1,1,0) =        -31 /        126 == -0.2460317460 =/= -0.2460321291
     nke(1,0,1,0,0,1,0,0,1,0,0,1,0) =        -31 /        126 == -0.2460317460 =/= -0.2460321291
     nkd(1,0,0,0,1,1,0,1,0,0,0,1,0) =        -86 /        239 == -0.3598326360 =/= -0.3598324958
     nke(1,0,0,1,0,1,0,1,0,0,0,1,0) =        -81 /        341 == -0.2375366569 =/= -0.2375362376
     nkd(1,0,0,0,1,0,0,1,0,0,0,1,0) =        -11 /         56 == -0.1964285714 =/= -0.1964282040
     nkd(1,0,0,0,1,0,0,0,0,0,0,1,0) =        -41 /        232 == -0.1767241379 =/= -0.1767245677
     nkd(1,0,1,0,0,0,1,1,1,1,0,1,0) =       -103 /        344 == -0.2994186047 =/= -0.2994186154
     nke(1,0,1,0,0,1,0,0,1,1,0,0,1) =        -31 /        126 == -0.2460317460 =/= -0.2460321291
     nkd(1,0,1,0,0,0,1,0,1,1,1,0,1) =        -29 /        308 == -0.0941558442 =/= -0.0941558185
     nke(1,0,1,0,0,0,1,1,0,1,0,0,1) =        -22 /        239 == -0.0920502092 =/= -0.0920502776
     nkd(1,0,0,0,1,1,0,1,0,0,0,0,1) =        -86 /        239 == -0.3598326360 =/= -0.3598324958
     nkd(1,0,0,0,1,0,0,1,0,0,0,0,1) =        -11 /         56 == -0.1964285714 =/= -0.1964282040
     nkd(1,0,0,0,1,1,0,1,0,0,1,0,0) =        -89 /        230 == -0.3869565217 =/= -0.3869560400
     nkd(1,0,0,0,1,1,0,1,0,0,0,0,0) =        -86 /        239 == -0.3598326360 =/= -0.3598324958
     nkd(1,0,0,0,1,0,0,1,0,0,0,0,0) =        -11 /         56 == -0.1964285714 =/= -0.1964282040
     nke(1,0,0,0,0,1,1,0,1,1,1,1,1) =        -73 /        314 == -0.2324840764 =/= -0.2324840739
     nke(1,0,0,0,0,1,1,0,1,1,1,1,0) =        -73 /        314 == -0.2324840764 =/= -0.2324840739
     nke(1,0,0,0,0,1,1,0,1,1,1,0,1) =        -73 /        314 == -0.2324840764 =/= -0.2324840739
     nke(1,0,0,0,0,1,1,0,1,1,0,0,1) =        -73 /        314 == -0.2324840764 =/= -0.2324840739
     nkd(0,1,1,1,1,_,_,_,_,_,_,_,_) =         29 /        150 == 0.1933333333 =/= 0.1933333333
     nke(0,1,1,1,0,0,0,1,1,0,1,1,1) =         -7 /        236 == -0.0296610169 =/= -0.0296609029
     nkd(0,0,1,1,1,1,0,1,0,0,0,1,1) =         79 /        226 == 0.3495575221 =/= 0.3495578945
     nkd(0,0,1,1,1,0,1,1,0,1,0,1,1) =         70 /        197 == 0.3553299492 =/= 0.3553300624
     nke(0,1,1,1,0,0,0,0,0,1,0,1,1) =         -5 /        287 == -0.0174216028 =/= -0.0174218863
     nkd(0,0,1,1,1,0,1,0,0,1,1,1,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,0,1,1,1,1,0,1,0,1,0,1,0) =        101 /        246 == 0.4105691057 =/= 0.4105687229
     nkd(0,0,1,1,1,0,0,0,1,1,0,1,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,0,1,1,1,0,0,0,0,1,0,1,0) =         68 /        179 == 0.3798882682 =/= 0.3798882866
     nkd(0,0,1,1,1,0,0,0,0,0,1,1,0) =         68 /        179 == 0.3798882682 =/= 0.3798882866
     nke(0,1,1,1,0,0,0,1,0,1,1,1,0) =          4 /        197 == 0.0203045685 =/= 0.0203044092
     nke(0,1,1,1,0,0,0,1,1,1,0,1,0) =         10 /        223 == 0.0448430493 =/= 0.0448428494
     nkd(0,0,1,1,1,1,0,1,0,0,0,1,0) =         79 /        226 == 0.3495575221 =/= 0.3495578945
     nke(0,1,1,1,0,0,0,1,0,1,0,1,0) =          4 /        197 == 0.0203045685 =/= 0.0203044092
     nke(0,1,1,1,0,0,0,1,1,0,1,1,0) =         10 /        223 == 0.0448430493 =/= 0.0448428494
     nke(0,1,1,1,0,0,0,1,0,0,1,1,0) =          4 /        197 == 0.0203045685 =/= 0.0203044092
     nke(0,1,1,1,0,0,0,1,1,0,0,1,0) =         10 /        223 == 0.0448430493 =/= 0.0448428494
     nkd(0,0,1,1,1,0,0,0,0,0,0,1,0) =         68 /        179 == 0.3798882682 =/= 0.3798882866
     nkd(0,0,1,1,1,1,0,1,0,1,0,0,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,0,1,1,1,1,0,0,0,1,0,0,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,0,1,1,1,0,0,0,0,1,0,0,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,0,1,1,1,1,0,0,0,0,1,0,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,0,1,1,1,0,0,0,0,0,1,0,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nke(0,1,1,1,0,0,0,0,1,1,1,0,1) =          2 /        287 == 0.0069686411 =/= 0.0069688337
     nkd(0,0,1,1,1,1,0,1,0,0,0,0,1) =         79 /        226 == 0.3495575221 =/= 0.3495578945
     nke(0,1,1,1,0,0,0,0,1,1,0,0,1) =          2 /        287 == 0.0069686411 =/= 0.0069688337
     nke(0,0,1,1,1,1,0,0,1,0,0,0,0) =         -5 /        287 == -0.0174216028 =/= -0.0174218863
     nke(0,1,1,1,0,0,0,0,1,0,1,0,1) =          2 /        287 == 0.0069686411 =/= 0.0069688337
     nke(0,1,1,1,0,0,0,0,1,0,0,0,1) =          2 /        287 == 0.0069686411 =/= 0.0069688337
     nkd(0,0,1,1,1,0,0,1,0,1,1,0,0) =         59 /        333 == 0.1771771772 =/= 0.1771768290
     nkd(0,0,1,1,1,1,0,1,0,1,0,0,0) =         79 /        226 == 0.3495575221 =/= 0.3495578945
     nkd(0,0,1,1,1,0,1,1,0,1,0,0,0) =         70 /        197 == 0.3553299492 =/= 0.3553300624
     nke(0,0,1,1,1,0,1,0,0,1,0,1,0) =         -4 /        229 == -0.0174672489 =/= -0.0174671257
     nkd(0,0,1,1,1,0,0,0,0,1,0,0,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,1,1,0,1,0,0,0,1,0,1,1,1) =         -7 /        236 == -0.0296610169 =/= -0.0296609029
     nkd(0,0,1,1,1,1,0,1,0,0,0,0,0) =         79 /        226 == 0.3495575221 =/= 0.3495578945
     nkd(0,0,1,1,1,0,0,0,0,0,0,0,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,1,0,1,1,1,0,0,1,0,0,1,1) =         81 /        370 == 0.2189189189 =/= 0.2189190045
     nke(0,1,0,1,1,0,0,1,0,1,1,0,0) =          3 /        308 == 0.0097402597 =/= 0.0097406982
     nkd(0,1,1,1,0,1,0,1,0,1,1,_,_) =         74 /        329 == 0.2249240122 =/= 0.2249244912
     nkd(0,1,0,1,1,1,0,0,1,1,0,1,0) =         81 /        370 == 0.2189189189 =/= 0.2189190045
     nkd(0,1,0,1,1,0,1,0,0,1,0,1,0) =         89 /        341 == 0.2609970674 =/= 0.2609973753
     nke(0,1,0,1,1,0,0,1,0,1,0,0,0) =          3 /        308 == 0.0097402597 =/= 0.0097406982
     nkd(0,1,1,1,0,1,0,0,1,0,1,1,0) =         13 /         93 == 0.1397849462 =/= 0.1397852781
     nkd(0,1,1,1,0,1,0,0,0,1,1,1,0) =         29 /        150 == 0.1933333333 =/= 0.1933333333
     nkd(0,1,1,1,0,1,0,0,0,0,1,1,1) =         29 /        150 == 0.1933333333 =/= 0.1933333333
     nkd(0,1,0,1,1,1,0,0,1,0,0,1,0) =         81 /        370 == 0.2189189189 =/= 0.2189190045
     nkd(0,1,1,1,0,1,0,0,0,0,0,1,0) =         29 /        150 == 0.1933333333 =/= 0.1933333333
     nkd(0,1,0,1,1,0,0,0,0,1,1,0,1) =         25 /        166 == 0.1506024096 =/= 0.1506027513
     nkd(0,1,0,1,1,1,0,0,1,1,0,0,1) =         81 /        370 == 0.2189189189 =/= 0.2189190045
     nkd(0,1,0,1,1,0,1,0,0,1,0,0,1) =         89 /        341 == 0.2609970674 =/= 0.2609973753
     nkd(0,1,0,1,1,1,0,0,1,0,0,0,1) =         81 /        370 == 0.2189189189 =/= 0.2189190045
     nkd(0,1,0,1,1,0,0,0,0,1,1,0,0) =         25 /        166 == 0.1506024096 =/= 0.1506027513
     nkd(0,1,0,1,1,1,0,0,1,1,0,0,0) =         81 /        370 == 0.2189189189 =/= 0.2189190045
     nkd(0,1,0,1,1,0,1,0,0,1,0,0,0) =         89 /        341 == 0.2609970674 =/= 0.2609973753
     nkd(0,1,1,1,0,0,0,0,1,1,0,1,0) =          1 /         75 == 0.0133333333 =/= 0.0133333333
     nkd(0,1,1,1,0,0,0,0,1,0,0,1,0) =         23 /        150 == 0.1533333333 =/= 0.1533333333
     nkd(0,1,0,1,1,1,0,0,1,0,0,0,0) =         81 /        370 == 0.2189189189 =/= 0.2189190045
     nke(0,0,0,1,1,1,0,1,1,1,1,_,_) =          5 /        304 == 0.0164473684 =/= 0.0164475923
     nkd(0,0,0,1,1,1,0,0,0,1,1,1,1) =        109 /        312 == 0.3493589744 =/= 0.3493591316
     nkd(0,0,0,1,1,0,1,1,0,1,1,1,1) =         13 /        163 == 0.0797546012 =/= 0.0797546789
     nkd(0,0,0,1,1,0,0,1,0,1,1,1,1) =         13 /        163 == 0.0797546012 =/= 0.0797546789
     nke(0,1,1,0,0,1,0,1,1,1,1,_,_) =         44 /        331 == 0.1329305136 =/= 0.1329305319
     nke(0,0,0,1,1,1,0,1,1,1,0,1,1) =          5 /        304 == 0.0164473684 =/= 0.0164475923
     nke(0,0,0,1,1,1,0,1,1,1,0,1,0) =          5 /        304 == 0.0164473684 =/= 0.0164475923
     nke(0,0,0,1,1,1,0,1,1,1,0,0,1) =          5 /        304 == 0.0164473684 =/= 0.0164475923
     nke(0,0,0,1,1,1,0,1,1,1,0,0,0) =          5 /        304 == 0.0164473684 =/= 0.0164475923
     nkd(0,0,0,1,1,1,0,0,0,1,0,1,1) =         66 /        155 == 0.4258064516 =/= 0.4258063282
     nkd(0,1,1,0,0,1,1,0,1,1,0,1,1) =         -5 /        304 == -0.0164473684 =/= -0.0164475923
     nke(0,0,0,1,1,1,0,1,1,0,1,1,1) =          5 /        304 == 0.0164473684 =/= 0.0164475923
     nke(0,0,0,1,1,1,0,1,1,0,1,1,0) =          5 /        304 == 0.0164473684 =/= 0.0164475923
     nke(0,0,0,1,1,1,0,1,1,0,0,1,1) =          5 /        304 == 0.0164473684 =/= 0.0164475923
     nke(0,0,0,1,1,1,0,1,1,0,0,1,0) =          5 /        304 == 0.0164473684 =/= 0.0164475923
     nkd(0,0,0,1,1,0,0,1,0,1,1,1,0) =         95 /        271 == 0.3505535055 =/= 0.3505538190
     nkd(0,0,0,1,1,1,0,0,0,1,1,1,0) =        109 /        312 == 0.3493589744 =/= 0.3493591316
     nkd(0,0,0,1,1,1,0,0,0,1,0,1,0) =        121 /        321 == 0.3769470405 =/= 0.3769472032
     nkd(0,0,0,1,1,0,1,0,0,1,0,1,0) =        121 /        321 == 0.3769470405 =/= 0.3769472032
     nkd(0,0,0,1,1,1,0,1,1,0,1,1,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,0,0,1,1,0,0,1,0,1,1,0,1) =         95 /        271 == 0.3505535055 =/= 0.3505538190
     nke(0,0,0,1,1,0,1,0,1,1,1,0,0) =         21 /        206 == 0.1019417476 =/= 0.1019418615
     nkd(0,0,0,1,1,1,0,0,0,1,1,0,1) =        109 /        312 == 0.3493589744 =/= 0.3493591316
     nkd(0,1,1,0,0,0,1,1,0,1,1,1,0) =        -26 /        275 == -0.0945454545 =/= -0.0945455625
     nkd(0,0,0,1,1,1,0,0,0,1,0,0,1) =         66 /        155 == 0.4258064516 =/= 0.4258063282
     nkd(0,0,0,1,1,1,0,1,1,0,1,0,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,0,0,1,1,0,0,1,1,1,1,0,0) =         46 /        131 == 0.3511450382 =/= 0.3511446999
     nkd(0,0,0,1,1,0,0,1,0,1,1,0,0) =         95 /        271 == 0.3505535055 =/= 0.3505538190
     nkd(0,1,1,0,0,0,0,1,1,0,1,1,1) =          4 /        265 == 0.0150943396 =/= 0.0150945014
     nkd(0,1,1,0,0,0,0,1,1,0,1,1,0) =          4 /        265 == 0.0150943396 =/= 0.0150945014
     nkd(0,1,1,0,0,0,0,1,1,0,1,0,1) =          4 /        265 == 0.0150943396 =/= 0.0150945014
     nkd(0,1,1,0,0,0,0,1,1,0,1,0,0) =          4 /        265 == 0.0150943396 =/= 0.0150945014
     nke(0,0,0,1,1,0,1,0,0,1,1,0,0) =          5 /        168 == 0.0297619048 =/= 0.0297615373
     nkd(0,0,0,1,1,1,0,0,0,1,1,0,0) =        109 /        312 == 0.3493589744 =/= 0.3493591316
     nkd(0,1,1,0,0,0,0,1,0,1,0,1,1) =        -11 /        172 == -0.0639534884 =/= -0.0639536264
     nkd(0,1,1,0,0,0,0,1,0,1,0,1,0) =        -11 /        172 == -0.0639534884 =/= -0.0639536264
     nkd(0,1,1,0,0,0,0,1,0,1,0,0,1) =        -11 /        172 == -0.0639534884 =/= -0.0639536264
     nkd(0,1,1,0,0,0,0,1,0,1,0,0,0) =        -11 /        172 == -0.0639534884 =/= -0.0639536264
     nke(0,0,0,1,1,0,1,0,0,1,0,0,0) =          5 /        168 == 0.0297619048 =/= 0.0297615373
     nkd(0,0,0,1,1,1,0,0,0,1,0,0,0) =         66 /        155 == 0.4258064516 =/= 0.4258063282
     nkd(0,0,0,1,1,1,0,1,1,0,1,0,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,1,1,0,0,0,0,0,0,1,0,1,0) =        -17 /        368 == -0.0461956522 =/= -0.0461954128
     nke(0,0,1,0,1,1,1,1,1,_,_,_,_) =          7 /        236 == 0.0296610169 =/= 0.0296609029
     nkd(0,0,1,1,0,0,1,0,1,1,1,1,1) =         44 /        119 == 0.3697478992 =/= 0.3697483480
     nke(0,0,1,0,1,0,1,1,1,1,0,0,1) =        -31 /        329 == -0.0942249240 =/= -0.0942245347
     nkd(0,0,1,1,0,0,1,0,0,1,0,1,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nke(0,0,1,0,1,0,1,1,1,0,1,0,1) =        -31 /        329 == -0.0942249240 =/= -0.0942245347
     nkd(0,1,0,0,1,1,1,0,1,0,0,0,1) =          5 /        168 == 0.0297619048 =/= 0.0297615373
     nke(0,1,0,1,0,0,0,1,1,1,1,1,1) =         10 /        223 == 0.0448430493 =/= 0.0448428494
     nke(0,1,0,1,0,0,0,1,1,1,0,1,1) =         10 /        223 == 0.0448430493 =/= 0.0448428494
     nke(0,0,1,0,1,0,1,1,1,0,0,0,1) =        -31 /        329 == -0.0942249240 =/= -0.0942245347
     nkd(0,1,0,0,1,1,1,0,0,0,1,0,0) =         23 /        165 == 0.1393939394 =/= 0.1393940833
     nke(0,1,0,1,0,0,0,1,1,0,0,1,1) =         10 /        223 == 0.0448430493 =/= 0.0448428494
     nke(0,1,0,1,0,1,1,1,0,0,0,1,0) =          1 /        148 == 0.0067567568 =/= 0.0067563539
     nkd(0,0,1,1,0,0,0,1,1,1,0,1,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,1,0,0,1,1,0,0,0,0,1,1,1) =         -4 /        233 == -0.0171673820 =/= -0.0171672008
     nkd(0,1,0,0,1,0,1,1,1,1,1,_,_) =         18 /         79 == 0.2278481013 =/= 0.2278482966
     nkd(0,1,0,0,1,0,1,0,1,1,1,0,1) =         21 /        256 == 0.0820312500 =/= 0.0820308894
     nkd(0,1,0,0,1,0,1,0,0,1,1,1,1) =         21 /        256 == 0.0820312500 =/= 0.0820308894
     nkd(0,1,0,0,1,0,1,0,0,1,1,1,0) =         21 /        256 == 0.0820312500 =/= 0.0820308894
     nkd(0,1,0,0,1,0,1,0,0,1,1,0,1) =         21 /        256 == 0.0820312500 =/= 0.0820308894
     nkd(0,1,0,0,1,0,1,0,0,1,1,0,0) =         21 /        256 == 0.0820312500 =/= 0.0820308894
     nke(0,1,0,1,0,1,0,1,1,1,0,0,0) =          5 /        312 == 0.0160256410 =/= 0.0160255345
     nkd(0,1,0,0,1,0,0,0,0,1,1,0,1) =        -12 /        241 == -0.0497925311 =/= -0.0497924003
     nkd(0,1,0,1,0,0,0,0,1,1,1,1,1) =         29 /        339 == 0.0855457227 =/= 0.0855453119
     nke(0,1,0,0,1,1,1,0,0,0,1,1,1) =        -29 /        339 == -0.0855457227 =/= -0.0855453119
     nkd(0,1,0,1,0,1,0,0,1,1,0,1,1) =         81 /        370 == 0.2189189189 =/= 0.2189190045
     nke(0,1,0,0,1,0,0,1,1,1,0,1,1) =         29 /        286 == 0.1013986014 =/= 0.1013987259
     nke(0,1,0,0,1,0,0,1,1,0,1,1,1) =         29 /        286 == 0.1013986014 =/= 0.1013987259
     nkd(0,1,0,1,0,1,0,0,1,0,0,1,1) =         81 /        370 == 0.2189189189 =/= 0.2189190045
     nkd(0,1,0,1,0,1,0,1,1,1,0,1,0) =         81 /        370 == 0.2189189189 =/= 0.2189190045
     nkd(0,1,0,1,0,1,0,1,1,1,0,0,1) =         81 /        370 == 0.2189189189 =/= 0.2189190045
     nkd(0,1,0,1,0,1,0,1,1,1,0,0,0) =         81 /        370 == 0.2189189189 =/= 0.2189190045
     nkd(0,1,0,1,0,0,1,0,1,1,1,1,0) =         92 /        305 == 0.3016393443 =/= 0.3016391670
     nkd(0,1,0,1,0,0,0,0,1,1,1,1,0) =         29 /        339 == 0.0855457227 =/= 0.0855453119
     nkd(0,1,0,1,0,1,0,1,1,0,0,1,0) =         81 /        370 == 0.2189189189 =/= 0.2189190045
     nkd(0,1,0,1,0,1,0,1,1,0,0,0,1) =         81 /        370 == 0.2189189189 =/= 0.2189190045
     nkd(0,1,0,1,0,1,0,0,1,1,0,1,0) =         81 /        370 == 0.2189189189 =/= 0.2189190045
     nkd(0,1,0,1,0,0,1,1,0,1,0,0,1) =         29 /        150 == 0.1933333333 =/= 0.1933333333
     nke(0,0,0,0,1,1,0,1,1,1,1,1,0) =         23 /        289 == 0.0795847751 =/= 0.0795849325
     nke(0,0,0,0,1,1,0,1,1,1,0,1,0) =         23 /        289 == 0.0795847751 =/= 0.0795849325
     nke(0,1,0,0,0,1,0,0,0,1,0,1,1) =        -13 /        336 == -0.0386904762 =/= -0.0386904338
     nke(0,0,0,0,1,1,0,1,1,0,1,1,0) =         23 /        289 == 0.0795847751 =/= 0.0795849325
     nke(0,0,0,0,1,1,0,1,1,0,0,1,0) =         23 /        289 == 0.0795847751 =/= 0.0795849325
     nkd(0,0,0,1,0,1,0,0,0,0,0,1,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,0,0,1,0,0,0,1,1,1,1,1,0) =         46 /        131 == 0.3511450382 =/= 0.3511446999
     nkd(0,0,0,1,0,0,1,0,0,1,0,1,0) =         66 /        155 == 0.4258064516 =/= 0.4258063282
     nke(0,1,0,0,0,0,1,1,0,1,1,1,0) =         15 /        233 == 0.0643776824 =/= 0.0643773988
     nke(0,1,0,0,0,0,1,1,0,0,1,1,0) =         15 /        233 == 0.0643776824 =/= 0.0643773988
     nke(0,1,0,0,0,0,1,1,0,0,0,1,0) =         15 /        233 == 0.0643776824 =/= 0.0643773988
     nkd(0,0,0,1,0,1,0,0,0,0,0,1,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,1,0,0,0,0,1,0,1,1,1,1,1) =         18 /         79 == 0.2278481013 =/= 0.2278482966
     nkd(0,0,0,1,0,0,0,1,1,1,1,0,0) =         46 /        131 == 0.3511450382 =/= 0.3511446999
     nkd(0,0,1,0,1,1,0,1,1,1,1,_,_) =         29 /        150 == 0.1933333333 =/= 0.1933333333
     nkd(0,0,1,0,1,1,1,1,0,1,0,1,1) =        113 /        311 == 0.3633440514 =/= 0.3633438848
     nkd(0,0,1,0,1,1,0,0,1,1,0,1,1) =         -7 /        236 == -0.0296610169 =/= -0.0296609029
     nkd(0,0,1,0,1,1,1,0,1,1,0,0,1) =         53 /        329 == 0.1610942249 =/= 0.1610943167
     nkd(0,0,1,0,1,0,0,1,0,0,1,1,1) =         70 /        313 == 0.2236421725 =/= 0.2236420950
     nke(0,0,1,1,0,0,1,1,1,0,1,0,1) =        -17 /        180 == -0.0944444444 =/= -0.0944449281
     nkd(0,0,1,0,1,1,1,0,1,0,0,1,0) =         10 /        287 == 0.0348432056 =/= 0.0348431132
     nkd(0,0,1,0,1,0,0,0,0,0,1,1,1) =         77 /        256 == 0.3007812500 =/= 0.3007812026
     nkd(0,0,1,0,1,1,1,0,0,0,1,0,1) =         70 /        313 == 0.2236421725 =/= 0.2236420950
     nkd(0,0,1,0,1,0,0,0,0,0,0,1,1) =         22 /         75 == 0.2933333333 =/= 0.2933333333
     nkd(0,0,1,0,1,1,1,0,0,0,0,0,0) =         27 /        190 == 0.1421052632 =/= 0.1421051451
     nkd(0,0,1,0,1,0,0,1,1,1,1,1,0) =         29 /        150 == 0.1933333333 =/= 0.1933333333
     nkd(0,0,1,0,1,1,0,1,1,0,0,0,1) =         19 /        143 == 0.1328671329 =/= 0.1328676189
     nkd(0,0,1,0,1,1,0,0,1,1,0,1,0) =         -7 /        236 == -0.0296610169 =/= -0.0296609029
     nkd(0,0,1,0,1,1,0,0,1,1,0,0,1) =         -7 /        236 == -0.0296610169 =/= -0.0296609029
     nke(0,0,1,1,0,0,1,0,1,1,0,1,0) =        -22 /        331 == -0.0664652568 =/= -0.0664652660
     nkd(0,0,1,0,1,0,0,1,0,0,1,1,0) =         70 /        313 == 0.2236421725 =/= 0.2236420950
     nkd(0,0,1,0,1,1,0,0,1,1,0,0,0) =         -7 /        236 == -0.0296610169 =/= -0.0296609029
     nke(0,0,1,1,0,0,1,0,0,1,0,1,0) =        -22 /        331 == -0.0664652568 =/= -0.0664652660
     nkd(0,0,1,0,1,1,0,0,1,0,1,1,0) =         29 /        150 == 0.1933333333 =/= 0.1933333333
     nkd(0,0,1,0,1,0,0,0,0,0,1,1,0) =         77 /        256 == 0.3007812500 =/= 0.3007812026
     nkd(0,0,1,0,1,1,0,0,0,0,1,0,0) =         90 /        371 == 0.2425876011 =/= 0.2425876100
     nkd(0,0,1,0,1,0,0,0,0,0,0,1,0) =         22 /         75 == 0.2933333333 =/= 0.2933333333
     nkd(0,0,1,0,1,0,0,1,0,0,1,0,1) =         70 /        313 == 0.2236421725 =/= 0.2236420950
     nkd(0,0,1,0,1,0,0,0,0,0,1,0,1) =         77 /        256 == 0.3007812500 =/= 0.3007812026
     nkd(0,0,1,0,1,0,0,0,0,0,0,0,1) =         22 /         75 == 0.2933333333 =/= 0.2933333333
     nkd(0,0,1,0,1,0,0,1,1,1,1,0,0) =         29 /        150 == 0.1933333333 =/= 0.1933333333
     nkd(0,0,1,0,1,0,0,1,0,0,1,0,0) =         70 /        313 == 0.2236421725 =/= 0.2236420950
     nkd(0,0,1,0,1,0,0,0,0,0,1,0,0) =         77 /        256 == 0.3007812500 =/= 0.3007812026
     nkd(0,0,1,0,1,0,0,0,0,0,0,0,0) =         29 /        150 == 0.1933333333 =/= 0.1933333333
     nkd(0,0,0,0,1,1,1,1,0,1,1,1,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,0,0,0,1,1,0,1,0,1,1,1,1) =         24 /        101 == 0.2376237624 =/= 0.2376232870
     nkd(0,0,0,0,1,1,1,0,0,1,1,1,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,0,0,0,1,1,0,0,0,1,0,1,1) =         39 /        277 == 0.1407942238 =/= 0.1407945238
     nkd(0,0,1,0,0,1,1,1,0,0,0,1,0) =        113 /        311 == 0.3633440514 =/= 0.3633438848
     nkd(0,0,0,0,1,1,1,1,0,1,1,1,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,0,0,0,1,1,0,1,0,1,1,1,0) =         24 /        101 == 0.2376237624 =/= 0.2376232870
     nkd(0,0,1,0,0,1,0,1,1,1,0,0,1) =         -7 /        236 == -0.0296610169 =/= -0.0296609029
     nkd(0,0,1,0,0,1,0,1,1,1,0,0,0) =         -7 /        236 == -0.0296610169 =/= -0.0296609029
     nkd(0,0,0,0,1,1,1,0,0,1,1,1,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,0,1,0,0,1,0,1,0,0,1,1,0) =         59 /        192 == 0.3072916667 =/= 0.3072917079
     nkd(0,0,0,0,1,1,0,0,0,1,0,1,0) =         39 /        277 == 0.1407942238 =/= 0.1407945238
     nkd(0,0,1,0,0,1,0,0,1,1,0,1,0) =         -7 /        236 == -0.0296610169 =/= -0.0296609029
     nkd(0,0,1,0,0,1,0,0,1,0,0,1,1) =         59 /        292 == 0.2020547945 =/= 0.2020552896
     nkd(0,0,0,0,1,1,1,1,0,1,1,0,1) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,0,0,0,1,1,0,1,0,1,1,0,1) =         24 /        101 == 0.2376237624 =/= 0.2376232870
     nkd(0,0,1,0,0,0,1,1,0,1,1,1,1) =         43 /        201 == 0.2139303483 =/= 0.2139300175
     nke(0,0,1,0,0,1,0,0,1,1,0,0,1) =         -1 /        244 == -0.0040983607 =/= -0.0040980493
     nkd(0,0,0,0,1,1,1,1,0,1,1,0,0) =         29 /         75 == 0.3866666667 =/= 0.3866666667
     nkd(0,0,0,0,1,1,0,1,0,1,1,0,0) =         24 /        101 == 0.2376237624 =/= 0.2376232870
           nkb(1,1,1,_,_,_,_,1,_,_) =         58 /        717 == 0.0808926081 =/= 0.0808921247
           nkc(1,1,1,1,1,1,1,0,0,0) =       -280 /        493 == -0.5679513185 =/= -0.5679511732
           nkc(1,1,1,1,1,1,0,0,0,0) =       -280 /        493 == -0.5679513185 =/= -0.5679511732
           nkc(1,1,1,1,1,0,1,0,0,0) =       -280 /        493 == -0.5679513185 =/= -0.5679511732
           nkc(1,1,1,1,1,0,0,0,0,0) =       -280 /        493 == -0.5679513185 =/= -0.5679511732
           nka(1,1,1,1,0,0,1,0,1,0) =       -250 /        611 == -0.4091653028 =/= -0.4091651169
           nka(1,1,1,1,0,1,1,0,0,1) =       -215 /        591 == -0.3637901861 =/= -0.3637899471
           nka(1,1,1,1,0,0,0,0,0,1) =       -123 /        500 == -0.2460000000 =/= -0.2459998153
           nka(1,1,1,1,0,0,1,0,0,0) =       -250 /        611 == -0.4091653028 =/= -0.4091651169
           nka(1,1,1,0,1,1,1,0,1,0) =       -249 /        488 == -0.5102459016 =/= -0.5102459806
           nkc(1,1,1,0,1,0,0,0,1,0) =       -371 /        682 == -0.5439882698 =/= -0.5439877867
           nkc(1,1,1,0,1,1,1,0,0,1) =       -235 /        499 == -0.4709418838 =/= -0.4709414527
           nkb(1,1,1,0,0,0,0,0,1,1) =       -262 /        429 == -0.6107226107 =/= -0.6107229059
           nkc(1,1,1,0,0,0,1,0,0,1) =       -143 /        574 == -0.2491289199 =/= -0.2491284507
           nka(1,1,1,0,0,0,0,0,0,1) =         73 /        480 == 0.1520833333 =/= 0.1520832509
           nkc(1,1,0,1,1,_,_,1,1,0) =       -281 /        653 == -0.4303215926 =/= -0.4303215553
           nkb(1,1,0,1,0,1,0,1,1,0) =        347 /        653 == 0.5313935681 =/= 0.5313933183
           nkc(1,1,0,1,0,0,0,1,1,0) =       -345 /        553 == -0.6238698011 =/= -0.6238696105
           nkc(1,1,0,1,0,0,0,1,0,1) =        -76 /        493 == -0.1541582150 =/= -0.1541577969
           nkb(1,1,0,1,0,0,1,1,0,0) =        119 /        603 == 0.1973466003 =/= 0.1973464435
           nkc(1,1,0,0,1,1,1,1,1,0) =        -55 /        427 == -0.1288056206 =/= -0.1288055764
           nka(1,1,0,0,1,1,0,1,1,0) =       -485 /        646 == -0.7507739938 =/= -0.7507736847
           nkc(1,1,0,0,1,1,0,1,1,0) =       -162 /        551 == -0.2940108893 =/= -0.2940112637
           nkc(1,1,0,0,1,1,0,1,0,1) =       -123 /        589 == -0.2088285229 =/= -0.2088282620
           nkc(1,1,0,0,1,0,1,1,0,1) =       -123 /        589 == -0.2088285229 =/= -0.2088282620
           nka(1,1,0,0,0,1,0,1,1,1) =       -269 /        409 == -0.6577017115 =/= -0.6577013677
           nka(1,1,0,0,0,0,1,1,1,1) =       -148 /        561 == -0.2638146168 =/= -0.2638150068
           nkc(1,1,0,0,0,1,1,1,1,0) =        -55 /        427 == -0.1288056206 =/= -0.1288055764
           nkc(1,1,0,0,0,0,1,1,1,0) =        -55 /        427 == -0.1288056206 =/= -0.1288055764
           nka(1,1,0,0,0,1,1,1,0,1) =       -687 /        637 == -1.0784929356 =/= -1.0784927261
           nka(1,1,0,0,0,1,0,1,0,0) =       -523 /        745 == -0.7020134228 =/= -0.7020138752
           nka(1,1,0,0,0,0,1,1,0,0) =       -365 /        717 == -0.5090655509 =/= -0.5090659333
           nkc(1,1,0,0,0,0,1,1,0,0) =       -186 /        671 == -0.2771982116 =/= -0.2771981957
           nka(1,1,0,0,0,0,0,1,0,0) =       -389 /        649 == -0.5993836672 =/= -0.5993840594
           nka(1,1,0,1,1,0,0,0,0,1) =         48 /        467 == 0.1027837259 =/= 0.1027836031
           nkb(1,1,0,1,1,1,1,0,0,0) =        125 /        402 == 0.3109452736 =/= 0.3109454095
           nkc(1,1,0,1,1,1,0,0,0,0) =       -328 /        489 == -0.6707566462 =/= -0.6707569343
           nka(1,1,0,1,1,0,0,0,0,0) =         48 /        467 == 0.1027837259 =/= 0.1027836031
           nkb(1,1,0,1,0,1,0,0,0,1) =        109 /        668 == 0.1631736527 =/= 0.1631734789
           nka(1,1,0,0,1,0,0,0,1,1) =       -133 /        565 == -0.2353982301 =/= -0.2353985149
           nkb(1,1,0,0,1,1,1,0,0,0) =        125 /        402 == 0.3109452736 =/= 0.3109454095
           nka(1,1,0,0,1,0,1,0,0,0) =        -85 /        576 == -0.1475694444 =/= -0.1475690790
           nkc(1,1,0,0,0,1,1,0,1,0) =       -117 /        709 == -0.1650211566 =/= -0.1650213007
           nka(1,1,0,0,0,1,0,0,0,0) =        124 /        659 == 0.1881638847 =/= 0.1881637848
           nkc(1,0,1,1,1,1,0,1,0,0) =       -242 /        547 == -0.4424131627 =/= -0.4424127198
           nkc(1,0,1,1,1,0,1,1,0,0) =       -242 /        547 == -0.4424131627 =/= -0.4424127198
           nkc(1,0,1,1,1,0,0,1,0,0) =       -242 /        547 == -0.4424131627 =/= -0.4424127198
           nkb(1,0,1,1,0,1,0,1,0,1) =       -229 /        523 == -0.4378585086 =/= -0.4378585843
           nka(1,0,1,1,0,1,1,1,0,0) =       -177 /        650 == -0.2723076923 =/= -0.2723072053
           nkb(1,0,1,0,1,0,1,1,0,1) =       -477 /        715 == -0.6671328671 =/= -0.6671325130
           nka(1,0,1,0,1,0,1,1,0,0) =        -31 /        563 == -0.0550621670 =/= -0.0550625833
           nkb(1,0,1,0,1,0,0,1,0,0) =       -142 /        675 == -0.2103703704 =/= -0.2103700919
           nkb(1,0,1,0,0,0,1,1,1,1) =       -293 /        563 == -0.5204262877 =/= -0.5204261465
           nkb(1,0,1,0,0,0,0,1,1,1) =       -293 /        563 == -0.5204262877 =/= -0.5204261465
           nkb(1,0,1,0,0,0,1,1,1,0) =       -293 /        563 == -0.5204262877 =/= -0.5204261465
           nkb(1,0,1,0,0,0,1,1,0,1) =       -304 /        723 == -0.4204702628 =/= -0.4204698031
           nka(1,0,1,1,1,1,1,0,1,0) =         67 /        458 == 0.1462882096 =/= 0.1462881336
           nka(1,0,1,1,1,1,0,0,1,0) =         67 /        458 == 0.1462882096 =/= 0.1462881336
           nka(1,0,1,1,1,0,1,0,1,0) =         67 /        458 == 0.1462882096 =/= 0.1462881336
           nka(1,0,1,1,1,0,0,0,0,1) =        199 /        517 == 0.3849129594 =/= 0.3849127527
           nkc(1,0,1,1,1,0,0,0,0,1) =       -261 /        574 == -0.4547038328 =/= -0.4547038341
           nkc(1,0,1,1,0,1,0,0,1,0) =         82 /        605 == 0.1355371901 =/= 0.1355372664
           nka(1,0,1,1,0,0,1,0,0,0) =       -139 /        690 == -0.2014492754 =/= -0.2014489772
           nkb(1,0,1,1,0,0,1,0,0,0) =        -53 /        586 == -0.0904436860 =/= -0.0904434245
           nkb(1,0,1,0,1,1,1,0,1,1) =       -303 /        479 == -0.6325678497 =/= -0.6325675622
           nka(1,0,1,0,1,1,1,0,1,0) =         21 /        404 == 0.0519801980 =/= 0.0519805062
           nka(1,0,1,0,1,0,1,0,0,0) =        215 /        704 == 0.3053977273 =/= 0.3053975916
           nkb(1,0,1,0,0,1,1,0,1,0) =       -345 /        574 == -0.6010452962 =/= -0.6010449887
           nka(1,0,1,0,0,0,1,0,1,0) =        -17 /        598 == -0.0284280936 =/= -0.0284278347
           nkb(1,0,1,0,0,1,0,0,0,1) =       -223 /        726 == -0.3071625344 =/= -0.3071620570
           nka(1,0,0,1,1,0,0,1,1,0) =        -11 /        637 == -0.0172684458 =/= -0.0172682309
           nkb(1,0,0,1,1,0,1,1,0,0) =         20 /        399 == 0.0501253133 =/= 0.0501250346
           nkb(1,0,0,1,0,1,1,1,1,1) =       -277 /        618 == -0.4482200647 =/= -0.4482197075
           nka(1,0,0,1,0,0,1,1,1,0) =        -31 /        672 == -0.0461309524 =/= -0.0461306533
           nkc(1,0,0,1,0,0,1,1,0,0) =       -339 /        557 == -0.6086175943 =/= -0.6086171013
           nka(1,0,0,0,1,1,0,1,1,1) =       -159 /        487 == -0.3264887064 =/= -0.3264886110
           nka(1,0,0,0,1,1,1,1,0,0) =         10 /        533 == 0.0187617261 =/= 0.0187613923
           nka(1,0,0,0,0,1,0,1,1,1) =        -86 /        643 == -0.1337480560 =/= -0.1337478732
           nkc(1,0,0,0,0,1,0,1,1,1) =       -155 /        599 == -0.2587646077 =/= -0.2587645577
           nkc(1,0,0,0,0,0,1,1,1,0) =        -55 /        427 == -0.1288056206 =/= -0.1288055764
           nka(1,0,0,0,0,0,0,1,1,0) =       -229 /        679 == -0.3372606775 =/= -0.3372603173
           nka(1,0,0,0,0,1,1,1,0,1) =       -454 /        675 == -0.6725925926 =/= -0.6725923581
           nkb(1,0,0,1,1,1,0,0,1,1) =       -226 /        467 == -0.4839400428 =/= -0.4839400414
           nkb(1,0,0,1,1,0,0,0,1,1) =       -313 /        511 == -0.6125244618 =/= -0.6125241694
           nka(1,0,0,1,1,1,1,0,1,0) =        136 /        715 == 0.1902097902 =/= 0.1902098419
           nka(1,0,0,1,1,1,0,0,1,0) =        136 /        715 == 0.1902097902 =/= 0.1902098419
           nka(1,0,0,1,0,1,0,0,1,1) =         45 /        608 == 0.0740131579 =/= 0.0740135058
           nkb(1,0,0,1,0,1,0,0,1,0) =        -83 /        707 == -0.1173974540 =/= -0.1173970904
           nka(1,0,0,1,0,1,1,0,0,1) =        175 /        732 == 0.2390710383 =/= 0.2390714728
           nkb(1,0,0,1,0,1,1,0,0,1) =       -243 /        557 == -0.4362657092 =/= -0.4362653161
           nkc(1,0,0,1,0,1,1,0,0,1) =       -263 /        632 == -0.4161392405 =/= -0.4161394901
           nka(1,0,0,1,0,1,1,0,0,0) =        175 /        732 == 0.2390710383 =/= 0.2390714728
           nkc(1,0,0,1,0,1,1,0,0,0) =       -188 /        447 == -0.4205816555 =/= -0.4205815165
           nka(1,0,0,0,1,1,1,0,1,1) =       -154 /        741 == -0.2078272605 =/= -0.2078277213
           nkc(1,0,0,0,1,1,1,0,1,1) =          9 /        650 == 0.0138461538 =/= 0.0138465292
           nka(1,0,0,0,1,1,0,0,1,1) =        -92 /        609 == -0.1510673235 =/= -0.1510670149
           nkc(1,0,0,0,1,1,0,0,1,1) =         -1 /        650 == -0.0015384615 =/= -0.0015389282
           nka(1,0,0,0,1,0,1,0,1,1) =        -68 /        729 == -0.0932784636 =/= -0.0932784658
           nka(1,0,0,0,1,0,1,0,0,0) =         43 /        687 == 0.0625909753 =/= 0.0625914349
           nkb(1,0,0,0,1,0,1,0,0,0) =       -266 /        701 == -0.3794579173 =/= -0.3794575238
           nkc(1,0,0,0,1,0,1,0,0,0) =       -193 /        651 == -0.2964669739 =/= -0.2964672444
           nkb(1,0,0,0,0,1,1,0,1,1) =       -243 /        605 == -0.4016528926 =/= -0.4016528838
           nka(1,0,0,0,0,1,1,0,1,0) =       -126 /        745 == -0.1691275168 =/= -0.1691271317
           nka(1,0,0,0,0,1,0,0,1,0) =       -133 /        713 == -0.1865357644 =/= -0.1865356969
           nka(1,0,0,0,0,1,1,0,0,0) =        -43 /        435 == -0.0988505747 =/= -0.0988509477
           nkc(0,1,1,1,1,_,_,1,1,0) =        -13 /        418 == -0.0311004785 =/= -0.0311005157
           nkb(0,1,1,1,1,_,_,1,1,_) =         -1 /        491 == -0.0020366599 =/= -0.0020369564
           nkc(0,1,1,1,0,0,1,1,1,0) =        -13 /        418 == -0.0311004785 =/= -0.0311005157
           nkc(0,1,1,1,0,1,1,1,0,1) =          1 /        607 == 0.0016474465 =/= 0.0016472124
           nkc(0,1,1,1,0,1,1,1,0,0) =        -13 /        723 == -0.0179806362 =/= -0.0179804534
           nka(0,1,1,1,0,1,0,1,0,0) =        171 /        487 == 0.3511293634 =/= 0.3511294003
           nkb(0,1,1,1,0,0,1,1,0,0) =        -23 /        435 == -0.0528735632 =/= -0.0528735541
           nka(0,1,1,1,0,0,0,1,0,0) =        187 /        534 == 0.3501872659 =/= 0.3501871563
           nkc(0,1,1,0,1,1,1,1,0,0) =        -21 /        619 == -0.0339256866 =/= -0.0339260607
           nkc(0,1,1,0,1,0,1,1,0,0) =       -264 /        739 == -0.3572395129 =/= -0.3572394782
           nka(0,1,1,0,1,0,0,1,0,0) =        114 /        641 == 0.1778471139 =/= 0.1778472415
           nkc(0,1,1,0,1,0,0,1,0,0) =        -21 /        619 == -0.0339256866 =/= -0.0339260607
           nkb(0,1,1,0,0,1,0,1,1,1) =         -2 /        447 == -0.0044742729 =/= -0.0044742083
           nkb(0,1,1,0,0,0,1,1,1,1) =          7 /        401 == 0.0174563591 =/= 0.0174560466
           nkc(0,1,1,0,0,0,1,1,1,0) =        -29 /        555 == -0.0522522523 =/= -0.0522526016
           nkb(0,1,1,0,0,0,1,1,0,0) =        -26 /        453 == -0.0573951435 =/= -0.0573952439
           nka(0,1,1,0,0,0,0,1,0,0) =        139 /        407 == 0.3415233415 =/= 0.3415237605
           nka(0,1,1,1,0,0,1,0,1,0) =        261 /        488 == 0.5348360656 =/= 0.5348363867
           nka(0,1,1,1,0,0,0,0,1,0) =        253 /        719 == 0.3518776078 =/= 0.3518777615
           nka(0,1,1,1,0,0,1,0,0,1) =        247 /        645 == 0.3829457364 =/= 0.3829453039
           nka(0,1,1,0,1,0,1,0,1,1) =         71 /        461 == 0.1540130152 =/= 0.1540135058
           nka(0,1,1,0,0,0,1,0,1,1) =         71 /        461 == 0.1540130152 =/= 0.1540135058
           nkb(0,1,1,0,0,0,0,0,1,1) =          9 /        517 == 0.0174081238 =/= 0.0174085651
           nkc(0,1,1,0,0,0,1,0,0,0) =        143 /        738 == 0.1937669377 =/= 0.1937664701
           nkb(0,1,0,1,1,1,1,1,0,1) =        -20 /        383 == -0.0522193211 =/= -0.0522194964
           nkb(0,1,0,1,1,0,1,1,0,1) =        -47 /        749 == -0.0627503338 =/= -0.0627506298
           nkc(0,1,0,1,0,1,1,1,0,1) =         34 /        661 == 0.0514372163 =/= 0.0514375025
           nka(0,1,0,1,0,0,0,1,0,1) =        224 /        429 == 0.5221445221 =/= 0.5221449769
           nka(0,1,0,1,0,1,0,1,0,0) =        276 /        611 == 0.4517184943 =/= 0.4517184347
           nkb(0,1,0,1,0,1,0,1,0,0) =         37 /        427 == 0.0866510539 =/= 0.0866512352
           nkc(0,1,0,1,0,0,1,1,0,0) =       -249 /        722 == -0.3448753463 =/= -0.3448750313
           nka(0,1,0,0,1,1,0,1,1,0) =        271 /        556 == 0.4874100719 =/= 0.4874101479
           nkb(0,1,0,0,1,1,1,1,0,1) =        -20 /        383 == -0.0522193211 =/= -0.0522194964
           nkc(0,1,0,0,1,1,0,1,0,0) =         23 /        457 == 0.0503282276 =/= 0.0503278861
           nkb(0,1,0,0,0,1,1,1,1,1) =        -71 /        486 == -0.1460905350 =/= -0.1460908216
           nka(0,1,0,0,0,0,0,1,1,1) =        147 /        718 == 0.2047353760 =/= 0.2047349609
           nkb(0,1,0,0,0,1,1,1,1,0) =        -71 /        486 == -0.1460905350 =/= -0.1460908216
           nkb(0,1,0,0,0,0,1,1,1,0) =       -123 /        652 == -0.1886503067 =/= -0.1886503383
           nkb(0,1,0,1,1,1,1,0,1,1) =         -9 /        517 == -0.0174081238 =/= -0.0174085651
           nkc(0,1,0,1,1,1,1,0,1,1) =        -91 /        584 == -0.1558219178 =/= -0.1558217597
           nka(0,1,0,1,1,1,0,0,1,1) =        206 /        377 == 0.5464190981 =/= 0.5464192353
           nkc(0,1,0,1,1,0,1,0,1,1) =        -91 /        584 == -0.1558219178 =/= -0.1558217597
           nka(0,1,0,1,1,1,1,0,0,0) =        246 /        427 == 0.5761124122 =/= 0.5761128477
           nka(0,1,0,1,0,1,1,0,1,0) =        248 /        453 == 0.5474613687 =/= 0.5474611905
           nka(0,1,0,1,0,1,1,0,0,0) =        263 /        549 == 0.4790528233 =/= 0.4790523484
           nkb(0,1,0,0,1,1,1,0,1,1) =         -9 /        517 == -0.0174081238 =/= -0.0174085651
           nka(0,1,0,0,1,0,1,0,1,1) =        277 /        591 == 0.4686971235 =/= 0.4686975560
           nka(0,1,0,0,1,0,0,0,1,1) =        121 /        668 == 0.1811377246 =/= 0.1811379733
           nkc(0,1,0,0,1,0,0,0,1,1) =        -36 /        655 == -0.0549618321 =/= -0.0549614213
           nka(0,1,0,0,1,1,1,0,1,0) =        193 /        443 == 0.4356659142 =/= 0.4356663897
           nkc(0,1,0,0,1,1,1,0,0,1) =        135 /        736 == 0.1834239130 =/= 0.1834235482
           nkc(0,1,0,0,1,1,1,0,0,0) =         26 /        521 == 0.0499040307 =/= 0.0499037181
           nka(0,1,0,0,0,1,0,0,1,0) =        177 /        448 == 0.3950892857 =/= 0.3950888300
           nkc(0,1,0,0,0,1,1,0,0,1) =         63 /        692 == 0.0910404624 =/= 0.0910401087
           nkc(0,0,1,1,1,_,_,1,1,1) =        107 /        408 == 0.2622549020 =/= 0.2622547119
           nka(0,0,1,1,1,1,0,1,1,0) =        202 /        743 == 0.2718707941 =/= 0.2718703755
           nkc(0,0,1,1,0,1,0,1,1,1) =        206 /        725 == 0.2841379310 =/= 0.2841378810
           nkc(0,0,1,0,1,1,1,1,1,1) =        -15 /        422 == -0.0355450237 =/= -0.0355447843
           nkc(0,0,1,0,1,0,0,1,1,1) =        107 /        408 == 0.2622549020 =/= 0.2622547119
           nkb(0,0,1,0,1,1,1,1,0,1) =        -27 /        731 == -0.0369357045 =/= -0.0369359923
           nka(0,0,1,0,0,1,1,1,1,0) =        165 /        697 == 0.2367288379 =/= 0.2367286564
           nkb(0,0,1,0,0,1,1,1,0,1) =         66 /        569 == 0.1159929701 =/= 0.1159933526
           nkb(0,0,1,0,0,1,0,1,0,1) =        -51 /        605 == -0.0842975207 =/= -0.0842972078
           nkb(0,0,1,0,0,1,0,1,0,0) =         11 /        593 == 0.0185497470 =/= 0.0185494401
           nkc(0,0,1,1,1,1,1,0,1,0) =        -92 /        593 == -0.1551433390 =/= -0.1551436975
           nkb(0,0,1,1,1,0,1,0,1,0) =       -143 /        738 == -0.1937669377 =/= -0.1937664701
           nka(0,0,1,1,1,1,1,0,0,1) =        223 /        658 == 0.3389057751 =/= 0.3389056833
           nka(0,0,1,1,0,1,1,0,1,1) =        223 /        658 == 0.3389057751 =/= 0.3389056833
           nkc(0,0,1,1,0,1,0,0,1,1) =        292 /        747 == 0.3908969210 =/= 0.3908972685
           nkc(0,0,1,1,0,1,0,0,1,0) =        150 /        719 == 0.2086230876 =/= 0.2086235640
           nka(0,0,1,1,0,1,1,0,0,1) =        223 /        658 == 0.3389057751 =/= 0.3389056833
           nka(0,0,1,0,1,0,1,0,1,0) =        385 /        668 == 0.5763473054 =/= 0.5763469579
           nkb(0,0,1,0,1,0,1,0,1,0) =        -95 /        407 == -0.2334152334 =/= -0.2334149751
           nkb(0,0,0,1,1,1,1,1,1,1) =         -5 /        683 == -0.0073206442 =/= -0.0073207244
           nkb(0,0,0,1,1,0,1,1,1,1) =         89 /        701 == 0.1269614836 =/= 0.1269611839
           nka(0,0,0,1,1,0,0,1,1,1) =        282 /        661 == 0.4266263238 =/= 0.4266264393
           nkc(0,0,0,1,1,0,0,1,1,1) =         -3 /        668 == -0.0044910180 =/= -0.0044906949
           nka(0,0,0,1,1,0,1,1,1,0) =        211 /        466 == 0.4527896996 =/= 0.4527900658
           nka(0,0,0,1,1,0,1,1,0,1) =        203 /        529 == 0.3837429112 =/= 0.3837428613
           nkb(0,0,0,1,1,0,1,1,0,1) =         89 /        701 == 0.1269614836 =/= 0.1269611839
           nkb(0,0,0,1,0,1,1,1,1,0) =         99 /        667 == 0.1484257871 =/= 0.1484254606
           nka(0,0,0,1,0,1,1,1,0,1) =        317 /        722 == 0.4390581717 =/= 0.4390581517
           nkc(0,0,0,1,0,1,1,1,0,1) =        -23 /        439 == -0.0523917995 =/= -0.0523914850
           nkc(0,0,0,0,1,1,1,1,0,1) =         55 /        544 == 0.1011029412 =/= 0.1011032855
           nkb(0,0,0,0,1,0,1,1,0,0) =        -89 /        701 == -0.1269614836 =/= -0.1269611839
           nkc(0,0,0,0,0,1,1,1,1,1) =         59 /        474 == 0.1244725738 =/= 0.1244722299
           nkc(0,0,0,0,0,1,0,1,1,1) =         91 /        584 == 0.1558219178 =/= 0.1558217597
           nka(0,0,0,0,0,1,1,1,0,0) =        242 /        699 == 0.3462088698 =/= 0.3462089977
           nkb(0,0,0,0,0,1,1,1,0,0) =          5 /        683 == 0.0073206442 =/= 0.0073207244
     nke(1,1,1,0,0,0,0,1,1,1,1,_,_) =       -385 /        694 == -0.5547550432 =/= -0.5547552724
     nke(1,1,1,0,0,0,0,1,1,0,1,1,1) =       -295 /        678 == -0.4351032448 =/= -0.4351032063
     nkd(1,0,0,1,1,1,0,0,1,0,0,1,1) =       -163 /        404 == -0.4034653465 =/= -0.4034650945
     nkd(1,0,0,1,1,1,0,0,0,0,1,1,1) =       -355 /        598 == -0.5936454849 =/= -0.5936451285
     nkd(1,0,0,1,1,0,1,1,0,1,1,_,_) =       -143 /        438 == -0.3264840183 =/= -0.3264842586
     nke(1,1,1,0,0,0,1,0,1,1,0,1,1) =       -151 /        475 == -0.3178947368 =/= -0.3178944592
     nkd(1,0,0,1,1,0,0,1,1,1,1,_,_) =       -179 /        687 == -0.2605531295 =/= -0.2605528957
     nkd(1,0,0,1,1,0,0,0,1,1,1,1,1) =       -367 /        700 == -0.5242857143 =/= -0.5242861288
     nke(1,0,0,1,1,1,0,1,0,1,1,_,_) =         -9 /        746 == -0.0120643432 =/= -0.0120642583
     nkd(1,0,0,1,1,1,0,0,0,1,1,1,0) =       -249 /        679 == -0.3667157585 =/= -0.3667155990
     nkd(1,0,0,1,1,0,0,1,0,1,1,1,0) =       -143 /        438 == -0.3264840183 =/= -0.3264842586
     nke(1,1,1,0,0,1,0,0,0,1,1,1,0) =       -209 /        403 == -0.5186104218 =/= -0.5186105066
     nkd(1,1,1,0,0,1,0,0,1,1,1,_,_) =         91 /        465 == 0.1956989247 =/= 0.1956988354
     nkd(1,1,1,0,0,1,0,0,1,1,0,1,1) =         91 /        465 == 0.1956989247 =/= 0.1956988354
     nkd(1,1,1,0,0,1,0,0,1,1,0,1,0) =         91 /        465 == 0.1956989247 =/= 0.1956988354
     nkd(1,1,1,0,0,1,0,0,1,1,0,0,0) =         91 /        465 == 0.1956989247 =/= 0.1956988354
     nkd(1,0,0,1,1,0,1,0,1,0,1,1,0) =        -85 /        633 == -0.1342812006 =/= -0.1342816444
     nke(1,1,1,0,0,0,0,1,1,1,0,1,0) =       -268 /        643 == -0.4167962675 =/= -0.4167959219
     nke(1,1,1,0,0,0,0,1,1,0,1,1,0) =       -295 /        678 == -0.4351032448 =/= -0.4351032063
     nkd(1,0,0,1,1,1,0,0,1,0,0,1,0) =       -163 /        404 == -0.4034653465 =/= -0.4034650945
     nkd(1,0,0,1,1,1,0,0,0,0,0,1,0) =       -281 /        708 == -0.3968926554 =/= -0.3968929952
     nke(1,0,0,1,1,0,1,0,1,1,1,_,_) =          2 /        489 == 0.0040899796 =/= 0.0040903995
     nke(1,0,0,1,1,0,0,0,1,1,1,1,1) =       -263 /        539 == -0.4879406308 =/= -0.4879408855
     nke(1,0,0,1,1,0,1,0,1,1,0,1,1) =          2 /        489 == 0.0040899796 =/= 0.0040903995
     nke(1,0,0,1,1,0,1,0,1,1,0,1,0) =          2 /        489 == 0.0040899796 =/= 0.0040903995
     nke(1,0,0,1,1,0,1,0,1,1,0,0,0) =          2 /        489 == 0.0040899796 =/= 0.0040903995
     nke(1,1,1,0,0,1,0,0,0,0,0,0,1) =        -80 /        593 == -0.1349072513 =/= -0.1349076089
     nke(1,0,0,1,1,0,1,0,1,0,1,1,1) =          2 /        489 == 0.0040899796 =/= 0.0040903995
     nke(1,0,0,1,1,0,1,0,1,0,1,1,0) =          2 /        489 == 0.0040899796 =/= 0.0040903995
     nke(1,0,0,1,1,0,1,0,1,0,1,0,0) =          2 /        489 == 0.0040899796 =/= 0.0040903995
     nke(1,1,1,0,0,0,0,1,1,0,1,0,1) =       -268 /        643 == -0.4167962675 =/= -0.4167959219
     nke(1,0,0,1,1,0,1,0,1,0,0,1,0) =          2 /        489 == 0.0040899796 =/= 0.0040903995
     nkd(1,0,0,1,1,0,1,0,1,0,0,0,1) =       -239 /        723 == -0.3305670816 =/= -0.3305671402
     nke(1,0,0,1,1,0,1,0,1,0,0,0,0) =          2 /        489 == 0.0040899796 =/= 0.0040903995
     nke(1,1,1,0,0,0,0,1,1,0,0,0,1) =       -268 /        643 == -0.4167962675 =/= -0.4167959219
     nkd(1,0,0,1,1,1,0,0,0,0,0,0,1) =       -281 /        708 == -0.3968926554 =/= -0.3968929952
     nkd(1,0,0,1,1,0,0,1,0,1,1,0,0) =       -143 /        438 == -0.3264840183 =/= -0.3264842586
     nke(1,0,0,1,1,1,0,0,0,1,1,0,0) =       -100 /        529 == -0.1890359168 =/= -0.1890358617
     nke(1,0,0,1,1,0,1,0,0,1,1,1,1) =         13 /        587 == 0.0221465077 =/= 0.0221468234
     nke(1,0,0,1,1,0,1,0,0,1,1,1,0) =         13 /        587 == 0.0221465077 =/= 0.0221468234
     nke(1,0,0,1,1,0,1,0,0,1,1,0,0) =         13 /        587 == 0.0221465077 =/= 0.0221468234
     nke(1,0,0,1,1,0,1,0,0,1,0,1,1) =         13 /        587 == 0.0221465077 =/= 0.0221468234
     nke(1,0,0,1,1,0,1,0,0,1,0,1,0) =         13 /        587 == 0.0221465077 =/= 0.0221468234
     nkd(1,0,0,1,1,0,0,0,1,1,0,0,0) =       -222 /        677 == -0.3279172821 =/= -0.3279172767
     nke(1,0,0,1,1,0,1,0,0,1,0,0,0) =         13 /        587 == 0.0221465077 =/= 0.0221468234
     nkd(1,1,1,0,0,0,0,0,1,0,1,1,1) =       -132 /        577 == -0.2287694974 =/= -0.2287699653
     nke(1,0,0,1,1,0,1,0,0,0,1,1,1) =         13 /        587 == 0.0221465077 =/= 0.0221468234
     nkd(1,0,0,1,1,1,0,0,1,0,1,0,0) =       -213 /        481 == -0.4428274428 =/= -0.4428276553
     nke(1,0,0,1,1,0,1,0,0,0,1,1,0) =         13 /        587 == 0.0221465077 =/= 0.0221468234
     nke(1,0,0,1,1,0,1,0,0,0,0,1,1) =         13 /        587 == 0.0221465077 =/= 0.0221468234
     nkd(1,0,0,1,1,1,0,0,1,0,0,0,0) =       -163 /        404 == -0.4034653465 =/= -0.4034650945
     nke(1,0,0,1,1,0,1,0,0,0,0,1,0) =         13 /        587 == 0.0221465077 =/= 0.0221468234
     nke(1,0,0,1,1,0,1,0,0,0,0,0,0) =         13 /        587 == 0.0221465077 =/= 0.0221468234
     nke(1,1,1,0,0,0,0,1,1,0,0,0,0) =       -268 /        643 == -0.4167962675 =/= -0.4167959219
     nkd(1,0,0,1,1,1,0,0,0,0,0,0,0) =       -281 /        708 == -0.3968926554 =/= -0.3968929952
     nke(1,1,0,1,0,0,0,1,1,0,0,1,1) =        -13 /        669 == -0.0194319880 =/= -0.0194319366
     nkd(1,0,1,1,0,1,0,1,0,1,0,1,1) =          6 /        715 == 0.0083916084 =/= 0.0083920917
     nkd(1,0,1,1,0,1,0,0,0,0,0,1,1) =       -136 /        667 == -0.2038980510 =/= -0.2038983632
     nke(1,1,0,1,0,0,0,1,0,0,0,1,1) =        -13 /        669 == -0.0194319880 =/= -0.0194319366
     nke(1,1,0,1,0,0,1,0,1,1,0,1,1) =        -21 /        445 == -0.0471910112 =/= -0.0471908097
     nke(1,1,0,1,0,0,0,0,0,1,0,1,1) =        -13 /        669 == -0.0194319880 =/= -0.0194319366
     nke(1,1,0,1,0,0,0,0,0,0,1,1,1) =        -13 /        669 == -0.0194319880 =/= -0.0194319366
     nkd(1,0,1,1,0,0,0,0,0,1,0,1,1) =       -163 /        523 == -0.3116634799 =/= -0.3116631715
     nke(1,1,0,1,0,0,0,0,0,0,0,1,1) =        -13 /        669 == -0.0194319880 =/= -0.0194319366
     nke(1,0,1,0,1,0,0,1,0,1,1,1,0) =        -83 /        439 == -0.1890660592 =/= -0.1890660652
     nkd(1,0,1,1,0,1,0,1,0,1,0,1,0) =          6 /        715 == 0.0083916084 =/= 0.0083920917
     nke(1,0,1,0,1,0,1,1,0,1,0,0,1) =       -340 /        639 == -0.5320813772 =/= -0.5320812725
     nke(1,0,1,0,1,0,0,1,0,1,0,1,0) =        -83 /        439 == -0.1890660592 =/= -0.1890660652
     nkd(1,0,1,1,0,1,0,1,0,0,1,1,0) =        -97 /        402 == -0.2412935323 =/= -0.2412936071
     nke(1,1,0,1,0,0,1,1,0,0,1,1,0) =       -144 /        559 == -0.2576028623 =/= -0.2576025798
     nke(1,1,0,1,0,0,1,0,0,0,1,1,0) =       -221 /        696 == -0.3175287356 =/= -0.3175284559
     nke(1,0,1,0,1,0,0,1,0,0,1,1,0) =        -83 /        439 == -0.1890660592 =/= -0.1890660652
     nke(1,1,0,1,0,0,1,0,1,0,0,1,0) =       -337 /        677 == -0.4977843427 =/= -0.4977847241
     nkd(1,0,1,1,0,0,0,1,0,0,0,1,0) =       -293 /        659 == -0.4446130501 =/= -0.4446126960
     nkd(1,0,1,1,0,1,0,0,0,0,0,1,0) =       -136 /        667 == -0.2038980510 =/= -0.2038983632
     nke(1,0,1,0,1,0,0,1,0,0,0,1,0) =        -83 /        439 == -0.1890660592 =/= -0.1890660652
     nke(1,0,1,0,1,0,0,0,1,1,1,1,0) =       -206 /        623 == -0.3306581059 =/= -0.3306581464
     nkd(1,0,1,1,0,0,0,0,0,1,1,0,1) =        -97 /        598 == -0.1622073579 =/= -0.1622076261
     nke(1,0,1,0,1,0,1,0,1,1,0,1,1) =        -55 /        444 == -0.1238738739 =/= -0.1238738311
     nke(1,0,1,0,1,0,1,0,1,1,0,0,1) =       -258 /        497 == -0.5191146881 =/= -0.5191147338
     nkd(1,1,0,0,1,0,1,1,0,0,0,1,0) =       -281 /        735 == -0.3823129252 =/= -0.3823126129
     nke(1,0,1,0,1,0,0,0,1,1,0,1,0) =       -206 /        623 == -0.3306581059 =/= -0.3306581464
     nke(1,0,1,0,1,0,0,0,1,1,0,0,1) =       -289 /        434 == -0.6658986175 =/= -0.6658990491
     nke(1,1,0,1,0,0,1,0,0,1,1,0,1) =       -191 /        647 == -0.2952086553 =/= -0.2952084570
     nke(1,0,1,0,1,1,0,0,1,0,1,1,1) =        -95 /        386 == -0.2461139896 =/= -0.2461137710
     nke(1,1,0,1,0,0,1,0,1,1,0,0,1) =        -21 /        445 == -0.0471910112 =/= -0.0471908097
     nke(1,0,1,0,1,1,0,0,1,0,1,0,0) =       -157 /        675 == -0.2325925926 =/= -0.2325923581
     nke(1,0,1,0,1,0,1,0,1,0,1,1,1) =        -95 /        386 == -0.2461139896 =/= -0.2461137710
     nke(1,0,1,0,1,0,0,0,1,0,1,1,0) =       -206 /        623 == -0.3306581059 =/= -0.3306581464
     nke(1,0,1,0,1,0,1,0,1,0,0,1,1) =        -55 /        444 == -0.1238738739 =/= -0.1238738311
     nke(1,0,1,0,1,0,0,0,1,0,0,1,0) =       -206 /        623 == -0.3306581059 =/= -0.3306581464
     nkd(1,0,1,1,0,0,0,1,0,1,1,0,0) =       -209 /        732 == -0.2855191257 =/= -0.2855189332
     nkd(1,0,1,1,0,0,0,0,0,1,1,0,0) =       -143 /        575 == -0.2486956522 =/= -0.2486955776
     nke(1,0,1,0,1,0,0,0,0,1,1,0,0) =        -81 /        709 == -0.1142454161 =/= -0.1142452420
     nkd(1,0,1,1,0,1,0,1,0,1,0,0,0) =       -209 /        732 == -0.2855191257 =/= -0.2855189332
     nke(1,0,1,0,1,0,0,0,0,1,0,0,0) =        -81 /        709 == -0.1142454161 =/= -0.1142452420
     nkd(1,0,1,1,0,0,0,1,1,0,1,0,0) =       -143 /        564 == -0.2535460993 =/= -0.2535459449
     nke(1,0,1,0,1,0,0,0,0,0,1,0,0) =        -81 /        709 == -0.1142454161 =/= -0.1142452420
     nkd(1,1,0,0,1,0,0,0,0,1,1,0,1) =       -141 /        446 == -0.3161434978 =/= -0.3161434469
     nke(1,0,1,0,1,0,0,0,0,0,0,0,0) =        -81 /        709 == -0.1142454161 =/= -0.1142452420
     nkd(1,1,0,1,0,1,1,_,_,_,_,_,_) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nke(1,1,0,0,1,0,1,1,0,1,1,_,_) =        -91 /        666 == -0.1366366366 =/= -0.1366369907
     nke(1,1,0,0,1,0,1,1,0,0,1,1,1) =        -91 /        666 == -0.1366366366 =/= -0.1366369907
     nkd(1,1,0,1,0,1,0,0,0,1,1,1,1) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nke(1,1,0,0,1,0,1,1,0,0,0,1,1) =        -91 /        666 == -0.1366366366 =/= -0.1366369907
     nkd(1,1,0,1,0,0,1,1,0,1,1,_,_) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nkd(1,1,0,1,0,0,1,1,0,0,0,1,1) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nkd(1,1,0,1,0,0,1,0,0,1,1,1,1) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nke(1,1,0,0,1,1,0,0,1,0,0,1,1) =       -258 /        565 == -0.4566371681 =/= -0.4566369907
     nkd(1,1,0,1,0,0,0,1,0,0,1,1,1) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nkd(1,1,0,1,0,0,0,1,0,0,0,1,1) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nkd(1,1,0,1,0,0,0,0,0,1,1,1,1) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nke(1,1,0,0,1,1,0,0,0,1,1,1,0) =       -208 /        381 == -0.5459317585 =/= -0.5459316266
     nke(1,1,0,0,1,1,0,1,0,1,0,1,0) =       -145 /        407 == -0.3562653563 =/= -0.3562653161
     nkd(1,1,0,1,0,0,0,1,0,1,0,1,0) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nke(1,1,0,0,1,0,1,1,0,1,0,1,0) =        -91 /        666 == -0.1366366366 =/= -0.1366369907
     nke(1,1,0,0,1,1,0,1,0,0,1,1,0) =         -8 /        473 == -0.0169133192 =/= -0.0169131748
     nke(1,1,0,0,1,0,1,1,0,1,0,0,1) =        -91 /        666 == -0.1366366366 =/= -0.1366369907
     nke(1,1,0,0,1,0,1,1,0,1,0,0,0) =        -91 /        666 == -0.1366366366 =/= -0.1366369907
     nke(1,1,0,0,1,0,1,0,0,1,1,1,0) =       -317 /        473 == -0.6701902748 =/= -0.6701904536
     nkd(1,1,0,1,0,0,0,1,0,0,1,1,0) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nke(1,1,0,0,1,0,1,1,0,0,1,1,0) =        -91 /        666 == -0.1366366366 =/= -0.1366369907
     nke(1,1,0,0,1,0,1,1,0,0,1,0,1) =        -91 /        666 == -0.1366366366 =/= -0.1366369907
     nke(1,1,0,0,1,0,1,1,0,0,0,1,0) =        -91 /        666 == -0.1366366366 =/= -0.1366369907
     nkd(1,1,0,1,0,0,1,1,0,0,0,1,0) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nkd(1,1,0,1,0,0,0,1,0,0,0,1,0) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nke(1,1,0,0,1,0,1,1,0,0,0,0,1) =        -91 /        666 == -0.1366366366 =/= -0.1366369907
     nkd(1,1,0,1,0,0,0,1,0,1,1,0,1) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nkd(1,1,0,1,0,0,0,0,1,1,1,0,1) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nke(1,1,0,0,1,1,0,0,0,1,1,0,1) =         70 /        649 == 0.1078582435 =/= 0.1078580567
     nke(1,1,0,0,1,1,0,0,0,1,0,0,1) =         70 /        649 == 0.1078582435 =/= 0.1078580567
     nke(1,1,0,0,1,1,0,0,0,0,1,0,1) =         70 /        649 == 0.1078582435 =/= 0.1078580567
     nkd(1,1,0,1,0,0,1,1,0,0,0,0,1) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nke(1,1,0,0,1,0,0,0,1,1,0,0,1) =       -307 /        695 == -0.4417266187 =/= -0.4417267440
     nkd(1,1,0,1,0,0,1,1,0,0,0,0,0) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nke(1,1,0,0,1,1,0,0,0,0,0,0,1) =         70 /        649 == 0.1078582435 =/= 0.1078580567
     nkd(1,1,0,1,0,0,0,1,0,0,0,0,1) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nkd(1,1,0,1,0,0,0,1,0,1,1,0,0) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nkd(1,1,0,1,0,0,0,0,1,1,1,0,0) =       -167 /        617 == -0.2706645057 =/= -0.2706642135
     nkd(1,1,0,1,0,0,0,1,0,0,1,0,0) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nke(1,1,0,0,1,1,0,0,0,0,1,0,0) =        -32 /        553 == -0.0578661844 =/= -0.0578662341
     nkd(1,1,0,1,0,0,0,1,0,0,0,0,0) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nke(1,0,0,0,1,0,0,1,1,1,1,1,0) =       -115 /        637 == -0.1805337520 =/= -0.1805339031
     nkd(1,0,0,1,0,1,0,1,1,1,0,1,1) =       -296 /        545 == -0.5431192661 =/= -0.5431194028
     nkd(1,0,0,1,0,1,0,1,0,1,0,1,1) =        -97 /        535 == -0.1813084112 =/= -0.1813089067
     nke(1,0,0,0,1,1,0,1,1,1,0,1,0) =        139 /        538 == 0.2583643123 =/= 0.2583641304
     nkd(1,0,0,1,0,1,0,0,1,1,0,1,1) =       -112 /        701 == -0.1597717546 =/= -0.1597719569
     nkd(1,1,0,0,0,1,1,1,0,0,0,1,1) =       -301 /        548 == -0.5492700730 =/= -0.5492695762
     nke(1,0,0,0,1,0,0,1,1,1,0,1,0) =       -115 /        637 == -0.1805337520 =/= -0.1805339031
     nke(1,1,0,0,0,0,1,1,1,1,1,_,_) =        -11 /        657 == -0.0167427702 =/= -0.0167430327
     nke(1,1,0,0,0,0,1,1,1,1,0,1,1) =        -11 /        657 == -0.0167427702 =/= -0.0167430327
     nke(1,0,0,0,1,1,0,1,1,0,1,0,1) =        121 /        478 == 0.2531380753 =/= 0.2531376040
     nke(1,1,0,0,0,0,1,1,1,0,1,1,1) =        -11 /        657 == -0.0167427702 =/= -0.0167430327
     nke(1,1,0,0,0,0,1,1,1,0,0,1,1) =        -11 /        657 == -0.0167427702 =/= -0.0167430327
     nkd(1,1,0,0,0,1,1,0,0,1,1,1,0) =       -142 /        459 == -0.3093681917 =/= -0.3093684960
     nkd(1,0,0,1,0,0,1,1,1,0,0,1,1) =       -199 /        543 == -0.3664825046 =/= -0.3664824121
     nkd(1,0,0,1,0,1,1,1,0,0,0,1,1) =         70 /        731 == 0.0957592339 =/= 0.0957588467
     nke(1,0,0,0,1,1,0,1,1,0,0,1,0) =        139 /        538 == 0.2583643123 =/= 0.2583641304
     nke(1,0,0,0,1,1,0,1,1,0,0,0,1) =        121 /        478 == 0.2531380753 =/= 0.2531376040
     nkd(1,1,0,0,0,1,1,0,0,0,1,1,0) =       -142 /        459 == -0.3093681917 =/= -0.3093684960
     nke(1,1,0,0,0,0,0,1,1,0,0,1,1) =       -268 /        643 == -0.4167962675 =/= -0.4167959219
     nke(1,0,0,0,1,0,0,1,1,0,0,1,0) =       -115 /        637 == -0.1805337520 =/= -0.1805339031
     nkd(1,0,0,1,0,0,1,0,0,0,0,1,1) =       -209 /        540 == -0.3870370370 =/= -0.3870371543
     nke(1,0,0,0,1,0,0,1,1,0,0,0,0) =        -87 /        742 == -0.1172506739 =/= -0.1172509529
     nke(1,0,0,0,1,1,0,1,0,1,1,1,1) =       -380 /        657 == -0.5783866058 =/= -0.5783870798
     nke(1,0,0,0,1,0,0,1,0,1,1,1,1) =       -311 /        659 == -0.4719271624 =/= -0.4719273533
     nke(1,0,0,0,1,0,0,1,0,1,1,0,1) =        -51 /        382 == -0.1335078534 =/= -0.1335079597
     nke(1,0,0,0,1,1,1,1,0,1,0,1,0) =       -219 /        608 == -0.3601973684 =/= -0.3601975758
     nkd(1,0,0,1,0,0,0,1,1,1,0,1,0) =       -298 /        499 == -0.5971943888 =/= -0.5971943708
     nkd(1,1,0,0,0,1,0,1,0,1,0,1,1) =       -173 /        561 == -0.3083778966 =/= -0.3083778472
     nkd(1,1,0,0,0,1,0,1,0,0,1,1,1) =        -31 /        572 == -0.0541958042 =/= -0.0541955183
     nkd(1,0,0,1,0,1,0,0,1,1,0,1,0) =       -112 /        701 == -0.1597717546 =/= -0.1597719569
     nkd(1,1,0,0,0,1,0,1,0,0,1,1,0) =        -31 /        572 == -0.0541958042 =/= -0.0541955183
     nkd(1,1,0,0,0,1,0,1,0,0,1,0,0) =        -31 /        572 == -0.0541958042 =/= -0.0541955183
     nkd(1,1,0,0,0,1,0,0,1,1,1,1,0) =       -159 /        491 == -0.3238289206 =/= -0.3238284599
     nke(1,0,0,0,1,1,1,1,0,0,1,0,0) =        -91 /        626 == -0.1453674121 =/= -0.1453671243
     nke(1,1,0,0,0,0,1,1,1,1,0,1,0) =        -11 /        657 == -0.0167427702 =/= -0.0167430327
     nke(1,1,0,0,0,0,1,1,1,0,1,1,0) =        -11 /        657 == -0.0167427702 =/= -0.0167430327
     nke(1,0,0,0,1,1,1,1,0,0,0,1,0) =        -53 /        425 == -0.1247058824 =/= -0.1247059444
     nke(1,1,0,0,0,0,0,1,0,1,1,1,0) =        -13 /        444 == -0.0292792793 =/= -0.0292790725
     nkd(1,0,0,1,0,1,1,1,0,0,0,1,0) =         70 /        731 == 0.0957592339 =/= 0.0957588467
     nke(1,1,0,0,0,0,0,1,0,1,0,1,0) =        -13 /        444 == -0.0292792793 =/= -0.0292790725
     nkd(1,0,0,1,0,1,1,0,1,0,0,1,0) =        -29 /        680 == -0.0426470588 =/= -0.0426472256
     nke(1,0,0,0,1,0,0,1,0,0,0,0,1) =        -51 /        382 == -0.1335078534 =/= -0.1335079597
     nke(1,0,0,0,1,1,0,0,1,1,1,1,0) =          3 /        574 == 0.0052264808 =/= 0.0052265263
     nke(1,0,0,0,1,1,0,0,1,1,1,0,0) =       -145 /        593 == -0.2445193929 =/= -0.2445198433
     nke(1,0,0,0,1,0,1,0,1,1,1,1,1) =        -55 /        444 == -0.1238738739 =/= -0.1238738311
     nke(1,0,0,0,1,0,1,0,1,1,1,1,0) =       -199 /        458 == -0.4344978166 =/= -0.4344976853
     nkd(1,1,0,0,0,0,1,1,1,0,1,0,0) =       -191 /        656 == -0.2911585366 =/= -0.2911581530
     nkd(1,0,0,1,0,1,1,0,0,1,1,0,1) =       -107 /        738 == -0.1449864499 =/= -0.1449859534
     nke(1,0,0,0,1,1,1,0,1,1,0,1,1) =         74 /        539 == 0.1372912801 =/= 0.1372907846
     nke(1,1,0,0,0,1,0,1,0,1,1,0,1) =       -253 /        734 == -0.3446866485 =/= -0.3446868199
     nkd(1,0,0,1,0,1,0,1,0,1,0,0,1) =        -97 /        535 == -0.1813084112 =/= -0.1813089067
     nke(1,0,0,0,1,1,0,0,1,1,0,1,0) =          3 /        574 == 0.0052264808 =/= 0.0052265263
     nkd(1,0,0,1,0,1,0,0,1,1,0,0,1) =       -112 /        701 == -0.1597717546 =/= -0.1597719569
     nke(1,0,0,0,1,0,1,0,1,1,0,0,0) =       -124 /        583 == -0.2126929674 =/= -0.2126931244
     nke(1,0,0,0,1,1,1,0,1,0,1,1,1) =         74 /        539 == 0.1372912801 =/= 0.1372907846
     nke(1,0,0,0,1,1,1,0,1,0,1,0,0) =         74 /        539 == 0.1372912801 =/= 0.1372907846
     nke(1,1,0,0,0,0,1,0,0,1,1,0,1) =       -138 /        401 == -0.3441396509 =/= -0.3441395956
     nke(1,1,0,0,0,0,1,1,1,1,0,0,1) =        -11 /        657 == -0.0167427702 =/= -0.0167430327
     nke(1,1,0,0,0,0,1,1,1,0,1,0,1) =        -11 /        657 == -0.0167427702 =/= -0.0167430327
     nke(1,1,0,0,0,0,1,1,1,0,0,0,1) =        -11 /        657 == -0.0167427702 =/= -0.0167430327
     nke(1,0,0,0,1,0,0,0,1,0,1,1,0) =       -246 /        595 == -0.4134453782 =/= -0.4134453105
     nke(1,0,0,0,1,1,1,0,1,0,0,1,1) =         74 /        539 == 0.1372912801 =/= 0.1372907846
     nke(1,1,0,0,0,0,0,1,1,1,1,0,1) =       -268 /        643 == -0.4167962675 =/= -0.4167959219
     nke(1,0,0,0,1,1,1,0,1,0,0,0,0) =         74 /        539 == 0.1372912801 =/= 0.1372907846
     nkd(1,0,0,1,0,1,1,1,0,0,0,0,1) =         70 /        731 == 0.0957592339 =/= 0.0957588467
     nke(1,1,0,0,0,0,0,1,1,1,0,0,1) =       -268 /        643 == -0.4167962675 =/= -0.4167959219
     nke(1,0,0,0,1,1,0,0,1,0,0,1,0) =          3 /        574 == 0.0052264808 =/= 0.0052265263
     nke(1,0,0,0,1,0,1,0,1,0,0,1,1) =        -55 /        444 == -0.1238738739 =/= -0.1238738311
     nke(1,1,0,0,0,0,0,1,1,0,0,0,1) =       -268 /        643 == -0.4167962675 =/= -0.4167959219
     nkd(1,1,0,0,0,0,0,1,1,1,1,0,1) =       -383 /        560 == -0.6839285714 =/= -0.6839289624
     nkd(1,1,0,0,0,0,0,1,1,1,1,0,0) =       -230 /        553 == -0.4159132007 =/= -0.4159135573
     nke(1,0,0,0,1,1,1,0,0,1,1,0,0) =         74 /        539 == 0.1372912801 =/= 0.1372907846
     nke(1,0,0,0,1,0,1,0,0,1,1,0,0) =        -99 /        662 == -0.1495468278 =/= -0.1495469473
     nke(1,0,0,0,1,0,0,0,0,1,1,0,1) =       -300 /        727 == -0.4126547455 =/= -0.4126548754
     nke(1,0,0,0,1,0,0,0,0,1,1,0,0) =        -99 /        662 == -0.1495468278 =/= -0.1495469473
     nkd(1,1,0,0,0,0,0,1,0,1,1,1,1) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nkd(1,1,0,0,0,0,0,1,0,1,1,1,0) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nkd(1,1,0,0,0,0,0,1,0,1,1,0,1) =       -263 /        525 == -0.5009523810 =/= -0.5009520041
     nkd(1,1,0,0,0,0,0,1,0,1,1,0,0) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nke(1,0,0,0,1,1,1,0,0,1,0,0,0) =         74 /        539 == 0.1372912801 =/= 0.1372907846
     nkd(1,1,0,0,0,0,0,1,0,0,1,1,0) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nkd(1,1,0,0,0,0,0,1,0,0,1,0,1) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nkd(1,1,0,0,0,0,0,1,0,0,1,0,0) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nke(1,0,0,0,1,0,1,0,0,1,0,0,0) =        -99 /        662 == -0.1495468278 =/= -0.1495469473
     nkd(1,1,0,0,0,0,0,1,0,0,0,1,1) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nkd(1,1,0,0,0,0,0,1,0,0,0,1,0) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nkd(1,1,0,0,0,0,0,1,0,0,0,0,0) =        -79 /        417 == -0.1894484412 =/= -0.1894482913
     nke(1,1,0,0,0,1,0,0,0,0,0,0,0) =         14 /        647 == 0.0216383308 =/= 0.0216383756
     nke(1,0,0,0,1,1,1,0,0,0,1,1,1) =         74 /        539 == 0.1372912801 =/= 0.1372907846
     nke(1,0,0,0,1,1,1,0,0,0,1,0,0) =         74 /        539 == 0.1372912801 =/= 0.1372907846
     nke(1,1,0,0,0,0,1,1,1,1,0,0,0) =        -94 /        437 == -0.2151029748 =/= -0.2151032063
     nke(1,1,0,0,0,0,1,1,1,0,1,0,0) =        -11 /        657 == -0.0167427702 =/= -0.0167430327
     nke(1,1,0,0,0,0,1,1,1,0,0,0,0) =        -11 /        657 == -0.0167427702 =/= -0.0167430327
     nkd(1,1,0,0,0,0,0,0,0,1,1,1,1) =         97 /        743 == 0.1305518170 =/= 0.1305517087
     nkd(1,1,0,0,0,0,0,0,0,1,1,1,0) =         97 /        743 == 0.1305518170 =/= 0.1305517087
     nkd(1,1,0,0,0,0,0,0,0,1,1,0,1) =         97 /        743 == 0.1305518170 =/= 0.1305517087
     nkd(1,1,0,0,0,0,0,0,0,1,1,0,0) =         97 /        743 == 0.1305518170 =/= 0.1305517087
     nke(1,0,0,0,1,1,1,0,0,0,0,0,0) =         74 /        539 == 0.1372912801 =/= 0.1372907846
     nkd(1,0,0,1,0,1,1,1,0,0,0,0,0) =         70 /        731 == 0.0957592339 =/= 0.0957588467
     nkd(1,1,0,0,0,0,0,0,0,0,1,1,1) =         97 /        743 == 0.1305518170 =/= 0.1305517087
     nkd(1,1,0,0,0,0,0,0,0,0,1,1,0) =         97 /        743 == 0.1305518170 =/= 0.1305517087
     nkd(1,1,0,0,0,0,0,0,0,0,0,1,0) =         97 /        743 == 0.1305518170 =/= 0.1305517087
     nkd(1,0,1,0,1,1,0,1,0,0,1,1,1) =        -68 /        501 == -0.1357285429 =/= -0.1357290389
     nkd(1,0,1,0,1,0,1,1,0,1,1,_,_) =         -7 /        530 == -0.0132075472 =/= -0.0132080349
     nkd(1,0,1,0,1,0,1,0,0,1,1,1,0) =         -7 /        530 == -0.0132075472 =/= -0.0132080349
     nkd(1,0,1,0,1,1,0,0,1,0,0,1,0) =       -289 /        722 == -0.4002770083 =/= -0.4002773711
     nkd(1,0,1,0,1,1,0,0,0,1,0,0,1) =       -139 /        395 == -0.3518987342 =/= -0.3518983368
     nke(1,0,1,1,0,0,0,0,0,1,0,1,0) =       -151 /        715 == -0.2111888112 =/= -0.2111883565
     nke(1,0,1,1,0,0,0,0,0,0,1,1,0) =       -151 /        715 == -0.2111888112 =/= -0.2111883565
     nke(1,0,1,1,0,0,0,0,0,0,0,1,0) =       -151 /        715 == -0.2111888112 =/= -0.2111883565
     nkd(1,0,1,0,1,0,0,1,1,1,0,0,1) =       -183 /        448 == -0.4084821429 =/= -0.4084823065
     nke(1,0,1,1,0,0,1,0,0,0,1,0,1) =       -177 /        389 == -0.4550128535 =/= -0.4550128596
     nkd(1,0,1,0,1,0,0,1,1,1,0,0,0) =       -177 /        650 == -0.2723076923 =/= -0.2723074691
     nke(1,0,0,1,0,0,1,1,1,1,1,_,_) =          2 /        489 == 0.0040899796 =/= 0.0040903995
     nke(1,0,1,0,0,1,1,0,1,1,1,_,_) =       -262 /        653 == -0.4012251149 =/= -0.4012251546
     nke(1,0,1,0,0,1,1,0,1,0,1,1,1) =       -188 /        479 == -0.3924843424 =/= -0.3924840739
     nkd(1,0,0,0,1,0,0,0,1,1,1,1,1) =       -279 /        559 == -0.4991055456 =/= -0.4991056332
     nke(1,0,1,0,0,1,0,0,0,1,0,1,1) =         79 /        623 == 0.1268057785 =/= 0.1268058138
     nkd(1,0,0,0,1,1,0,0,1,1,0,1,1) =       -115 /        502 == -0.2290836653 =/= -0.2290832113
     nkd(1,0,0,0,1,0,0,0,1,1,0,1,1) =       -279 /        559 == -0.4991055456 =/= -0.4991056332
     nke(1,0,0,1,0,0,1,1,1,1,0,0,0) =          2 /        489 == 0.0040899796 =/= 0.0040903995
     nkd(1,0,1,0,0,1,1,1,0,0,0,1,0) =       -199 /        642 == -0.3099688474 =/= -0.3099686095
     nkd(1,0,0,0,1,0,1,1,1,0,1,1,1) =       -273 /        709 == -0.3850493653 =/= -0.3850496577
     nke(1,0,0,1,0,1,0,1,1,0,1,1,1) =       -281 /        644 == -0.4363354037 =/= -0.4363349556
     nke(1,0,1,0,0,0,1,1,1,1,0,1,1) =        -62 /        581 == -0.1067125645 =/= -0.1067125655
     nke(1,0,0,1,0,1,0,1,1,0,1,0,1) =        -43 /        520 == -0.0826923077 =/= -0.0826922012
     nke(1,0,1,0,0,0,1,1,1,0,1,1,1) =        -62 /        581 == -0.1067125645 =/= -0.1067125655
     nkd(1,0,0,0,1,0,1,0,1,0,1,1,1) =       -156 /        539 == -0.2894248609 =/= -0.2894253419
     nkd(1,0,0,0,1,0,0,0,1,0,1,1,1) =       -279 /        559 == -0.4991055456 =/= -0.4991056332
     nke(1,0,0,1,0,0,1,1,1,0,1,0,0) =          2 /        489 == 0.0040899796 =/= 0.0040903995
     nke(1,0,1,0,0,0,1,1,1,0,0,1,1) =       -196 /        439 == -0.4464692483 =/= -0.4464690909
     nke(1,0,1,0,0,0,0,1,1,1,1,1,1) =        -62 /        581 == -0.1067125645 =/= -0.1067125655
     nke(1,0,1,0,0,0,0,0,1,1,1,1,1) =        -79 /        415 == -0.1903614458 =/= -0.1903616508
     nke(1,0,1,0,0,0,0,1,1,0,1,1,1) =        -62 /        581 == -0.1067125645 =/= -0.1067125655
     nke(1,0,0,1,0,0,1,1,1,0,0,0,0) =          2 /        489 == 0.0040899796 =/= 0.0040903995
     nke(1,0,1,0,0,0,0,1,1,0,0,1,1) =       -389 /        671 == -0.5797317437 =/= -0.5797319933
     nkd(1,0,0,0,1,1,0,0,0,0,0,1,1) =       -281 /        708 == -0.3968926554 =/= -0.3968929952
     nke(1,0,0,1,0,0,0,1,1,0,0,1,0) =        -97 /        624 == -0.1554487179 =/= -0.1554482386
     nkd(1,0,0,0,1,0,0,0,1,1,1,1,0) =       -279 /        559 == -0.4991055456 =/= -0.4991056332
     nkd(1,0,1,0,0,1,0,1,0,1,1,1,1) =          6 /        715 == 0.0083916084 =/= 0.0083920917
     nkd(1,0,1,0,0,1,0,1,0,1,1,1,0) =       -233 /        685 == -0.3401459854 =/= -0.3401460056
     nke(1,0,1,0,0,1,0,0,0,1,1,1,0) =         79 /        623 == 0.1268057785 =/= 0.1268058138
     nkd(1,0,1,0,0,1,0,1,0,1,0,1,1) =       -360 /        721 == -0.4993065187 =/= -0.4993063744
     nkd(1,0,1,0,0,1,0,1,0,1,0,0,1) =       -180 /        629 == -0.2861685215 =/= -0.2861687704
     nkd(1,0,1,0,0,1,0,1,0,1,0,0,0) =          6 /        715 == 0.0083916084 =/= 0.0083920917
     nkd(1,0,0,0,1,1,0,0,1,1,0,1,0) =       -115 /        502 == -0.2290836653 =/= -0.2290832113
     nkd(1,0,0,0,1,0,0,0,1,1,0,1,0) =       -279 /        559 == -0.4991055456 =/= -0.4991056332
     nke(1,0,1,0,0,1,0,0,0,0,1,1,0) =         79 /        623 == 0.1268057785 =/= 0.1268058138
     nkd(1,0,1,0,0,1,0,1,0,0,0,1,1) =       -360 /        721 == -0.4993065187 =/= -0.4993063744
     nkd(1,0,1,0,0,1,0,1,0,0,0,1,0) =       -199 /        642 == -0.3099688474 =/= -0.3099686095
     nke(1,0,1,0,0,1,0,0,0,0,0,1,0) =         79 /        623 == 0.1268057785 =/= 0.1268058138
     nkd(1,0,0,0,1,0,1,0,1,0,1,1,0) =       -156 /        539 == -0.2894248609 =/= -0.2894253419
     nkd(1,0,0,0,1,0,0,0,1,0,1,1,0) =       -279 /        559 == -0.4991055456 =/= -0.4991056332
     nke(1,0,1,0,0,0,0,0,1,1,1,1,0) =       -121 /        621 == -0.1948470209 =/= -0.1948474657
     nke(1,0,1,0,0,0,0,0,0,1,1,1,0) =       -220 /        591 == -0.3722504230 =/= -0.3722503594
     nkd(1,0,1,0,0,1,0,0,0,1,0,0,1) =        -23 /        610 == -0.0377049180 =/= -0.0377049288
     nke(1,0,1,0,0,0,0,0,1,1,0,1,0) =       -121 /        621 == -0.1948470209 =/= -0.1948474657
     nke(1,0,1,0,0,0,0,0,0,1,0,1,0) =       -220 /        591 == -0.3722504230 =/= -0.3722503594
     nke(1,0,1,0,0,0,0,0,1,0,1,1,0) =       -121 /        621 == -0.1948470209 =/= -0.1948474657
     nke(1,0,1,0,0,0,0,0,0,0,1,1,0) =       -220 /        591 == -0.3722504230 =/= -0.3722503594
     nkd(1,0,0,0,1,1,0,0,0,0,0,1,0) =       -281 /        708 == -0.3968926554 =/= -0.3968929952
     nke(1,0,1,0,0,0,0,0,1,0,0,1,0) =       -121 /        621 == -0.1948470209 =/= -0.1948474657
     nke(1,0,1,0,0,0,0,0,0,0,0,1,0) =       -220 /        591 == -0.3722504230 =/= -0.3722503594
     nkd(1,0,1,0,0,0,1,1,1,1,1,_,_) =         -7 /        530 == -0.0132075472 =/= -0.0132080349
     nke(1,0,1,0,0,1,0,0,0,1,1,0,1) =         79 /        623 == 0.1268057785 =/= 0.1268058138
     nkd(1,0,1,0,0,0,1,1,0,1,0,0,1) =       -180 /        629 == -0.2861685215 =/= -0.2861687704
     nke(1,0,1,0,0,1,0,0,0,1,0,0,1) =         79 /        623 == 0.1268057785 =/= 0.1268058138
     nkd(1,0,1,0,0,0,1,0,1,1,1,1,1) =         -7 /        530 == -0.0132075472 =/= -0.0132080349
     nkd(1,0,1,0,0,0,1,0,1,1,1,1,0) =         -7 /        530 == -0.0132075472 =/= -0.0132080349
     nkd(1,0,0,0,1,0,0,1,1,0,1,0,1) =       -297 /        493 == -0.6024340771 =/= -0.6024339545
     nkd(1,0,1,0,0,0,1,0,1,1,1,0,0) =         -7 /        530 == -0.0132075472 =/= -0.0132080349
     nkd(1,0,1,0,0,0,1,0,0,1,1,1,0) =         -7 /        530 == -0.0132075472 =/= -0.0132080349
     nkd(1,0,1,0,0,0,1,0,0,1,1,0,1) =         -7 /        530 == -0.0132075472 =/= -0.0132080349
     nkd(1,0,1,0,0,0,1,0,0,1,1,0,0) =         -7 /        530 == -0.0132075472 =/= -0.0132080349
     nkd(1,0,1,0,0,0,0,1,0,1,1,1,0) =       -233 /        685 == -0.3401459854 =/= -0.3401460056
     nke(1,0,1,0,0,1,0,0,0,1,0,0,0) =         79 /        623 == 0.1268057785 =/= 0.1268058138
     nke(1,0,1,0,0,0,1,1,1,1,0,0,0) =       -196 /        439 == -0.4464692483 =/= -0.4464690909
     nke(1,0,1,0,0,0,1,1,0,1,0,0,0) =        -41 /        693 == -0.0591630592 =/= -0.0591634023
     nkd(1,0,0,0,0,0,0,1,0,1,1,1,1) =       -259 /        692 == -0.3742774566 =/= -0.3742779514
     nke(1,0,0,0,0,0,1,1,1,1,1,1,1) =        -62 /        581 == -0.1067125645 =/= -0.1067125655
     nke(1,0,0,0,0,0,1,1,1,1,1,1,0) =       -190 /        597 == -0.3182579564 =/= -0.3182578246
     nke(1,0,0,0,0,1,1,1,1,0,0,1,1) =       -313 /        604 == -0.5182119205 =/= -0.5182119258
     nke(1,0,0,0,0,0,0,1,1,1,1,0,1) =       -202 /        487 == -0.4147843943 =/= -0.4147848165
     nke(1,0,0,0,0,1,0,0,0,1,1,1,1) =        -43 /        667 == -0.0644677661 =/= -0.0644680093
     nke(1,0,0,0,0,1,0,1,1,1,0,0,1) =       -133 /        734 == -0.1811989101 =/= -0.1811989079
     nkd(1,0,0,0,0,0,0,1,0,1,0,1,1) =       -259 /        692 == -0.3742774566 =/= -0.3742779514
     nke(1,0,0,0,0,1,0,1,1,1,0,0,0) =       -121 /        513 == -0.2358674464 =/= -0.2358675266
     nke(1,0,0,0,0,0,1,1,1,1,0,1,1) =        -62 /        581 == -0.1067125645 =/= -0.1067125655
     nke(1,0,0,0,0,1,1,1,1,0,1,1,0) =        -31 /        623 == -0.0497592295 =/= -0.0497596908
     nke(1,0,0,0,0,0,1,1,1,0,1,1,1) =        -62 /        581 == -0.1067125645 =/= -0.1067125655
     nke(1,0,0,0,0,0,1,1,1,0,0,1,1) =        -62 /        581 == -0.1067125645 =/= -0.1067125655
     nke(1,0,0,0,0,1,0,1,1,0,0,1,0) =       -132 /        629 == -0.2098569157 =/= -0.2098567641
     nke(1,0,0,0,0,1,1,0,0,1,1,1,0) =        128 /        413 == 0.3099273608 =/= 0.3099273269
     nkd(1,0,0,0,0,0,0,1,0,1,1,1,0) =       -259 /        692 == -0.3742774566 =/= -0.3742779514
     nkd(1,0,0,0,0,1,0,1,1,0,1,0,0) =       -241 /        603 == -0.3996683250 =/= -0.3996681571
     nke(1,0,0,0,0,1,1,0,0,0,1,1,0) =        128 /        413 == 0.3099273608 =/= 0.3099273269
     nkd(1,0,0,0,0,0,0,1,0,1,0,1,0) =       -259 /        692 == -0.3742774566 =/= -0.3742779514
     nke(1,0,0,0,0,1,1,0,0,1,1,0,1) =        128 /        413 == 0.3099273608 =/= 0.3099273269
     nkd(1,0,0,0,0,0,0,1,0,1,1,0,1) =       -259 /        692 == -0.3742774566 =/= -0.3742779514
     nke(1,0,0,0,0,1,1,0,0,1,0,0,1) =        128 /        413 == 0.3099273608 =/= 0.3099273269
     nkd(1,0,0,0,0,0,0,1,0,1,0,0,1) =       -259 /        692 == -0.3742774566 =/= -0.3742779514
     nkd(1,0,0,0,0,0,0,1,0,1,1,0,0) =       -259 /        692 == -0.3742774566 =/= -0.3742779514
     nke(1,0,0,0,0,1,1,0,0,1,0,0,0) =         81 /        397 == 0.2040302267 =/= 0.2040301244
     nke(0,1,1,1,0,0,0,1,1,0,0,1,1) =         17 /        592 == 0.0287162162 =/= 0.0287166805
     nke(0,1,1,1,0,1,0,1,0,1,1,_,_) =          3 /        718 == 0.0041782730 =/= 0.0041782403
     nke(0,1,1,1,0,0,1,1,0,1,1,_,_) =        120 /        677 == 0.1772525849 =/= 0.1772530632
     nkd(0,0,1,1,1,1,0,1,0,1,1,_,_) =        117 /        658 == 0.1778115502 =/= 0.1778113665
     nke(0,1,1,1,0,1,0,1,0,1,0,1,1) =          4 /        693 == 0.0057720058 =/= 0.0057721679
     nke(0,1,1,1,0,0,0,1,0,1,0,1,1) =          3 /        718 == 0.0041782730 =/= 0.0041782403
     nke(0,1,1,1,0,1,0,1,0,0,1,1,1) =          4 /        693 == 0.0057720058 =/= 0.0057721679
     nkd(0,0,1,1,1,1,0,0,1,0,1,1,1) =        163 /        499 == 0.3266533066 =/= 0.3266533455
     nke(0,1,1,1,0,0,0,1,0,0,1,1,1) =          3 /        718 == 0.0041782730 =/= 0.0041782403
     nkd(0,0,1,1,1,1,0,0,0,1,1,1,1) =        138 /        613 == 0.2251223491 =/= 0.2251220670
     nke(0,1,1,1,0,1,0,1,0,0,0,1,1) =          4 /        693 == 0.0057720058 =/= 0.0057721679
     nkd(0,0,1,1,1,0,1,1,0,1,1,_,_) =        117 /        658 == 0.1778115502 =/= 0.1778113665
     nke(0,1,1,1,0,0,1,0,1,1,0,1,1) =         -8 /        421 == -0.0190023753 =/= -0.0190024928
     nkd(0,0,1,1,1,0,1,0,0,1,1,1,1) =        138 /        613 == 0.2251223491 =/= 0.2251220670
     nkd(0,0,1,1,1,0,0,1,1,1,0,1,1) =        188 /        721 == 0.2607489598 =/= 0.2607486250
     nkd(0,0,1,1,1,0,0,1,1,0,1,1,1) =        188 /        721 == 0.2607489598 =/= 0.2607486250
     nkd(0,0,1,1,1,0,0,1,1,0,0,1,1) =        188 /        721 == 0.2607489598 =/= 0.2607486250
     nkd(0,0,1,1,1,0,0,1,0,1,1,1,1) =        117 /        658 == 0.1778115502 =/= 0.1778113665
     nkd(0,0,1,1,1,0,0,1,0,0,0,1,1) =        157 /        423 == 0.3711583924 =/= 0.3711580211
     nkd(0,0,1,1,1,0,0,0,0,1,1,1,1) =        138 /        613 == 0.2251223491 =/= 0.2251220670
     nkd(0,1,1,0,1,1,0,1,0,1,0,1,1) =        -37 /        523 == -0.0707456979 =/= -0.0707457234
     nkd(0,1,1,0,1,1,0,1,0,1,0,1,0) =        -37 /        523 == -0.0707456979 =/= -0.0707457234
     nke(0,1,1,1,0,1,0,1,0,1,0,1,0) =          3 /        718 == 0.0041782730 =/= 0.0041782403
     nkd(0,1,1,0,1,1,0,1,0,1,0,0,1) =        -37 /        523 == -0.0707456979 =/= -0.0707457234
     nkd(0,1,1,0,1,1,0,1,0,1,0,0,0) =        -37 /        523 == -0.0707456979 =/= -0.0707457234
     nke(0,1,1,1,0,1,0,1,0,0,1,1,0) =          3 /        718 == 0.0041782730 =/= 0.0041782403
     nkd(0,0,1,1,1,0,0,1,1,0,1,1,0) =        188 /        721 == 0.2607489598 =/= 0.2607486250
     nkd(0,1,1,0,1,1,0,0,1,1,0,1,1) =        -37 /        523 == -0.0707456979 =/= -0.0707457234
     nkd(0,1,1,0,1,1,0,0,1,1,0,1,0) =        -37 /        523 == -0.0707456979 =/= -0.0707457234
     nkd(0,1,1,0,1,1,0,0,1,1,0,0,1) =        -37 /        523 == -0.0707456979 =/= -0.0707457234
     nkd(0,1,1,0,1,1,0,0,1,1,0,0,0) =        -37 /        523 == -0.0707456979 =/= -0.0707457234
     nkd(0,0,1,1,1,1,0,0,1,0,1,1,0) =        163 /        499 == 0.3266533066 =/= 0.3266533455
     nke(0,0,1,1,1,0,1,1,0,0,1,0,1) =         43 /        687 == 0.0625909753 =/= 0.0625914349
     nkd(0,0,1,1,1,0,0,1,1,0,0,1,0) =        214 /        737 == 0.2903663501 =/= 0.2903658714
     nkd(0,0,1,1,1,0,0,1,0,0,0,1,0) =        157 /        423 == 0.3711583924 =/= 0.3711580211
     nke(0,0,1,1,1,1,0,0,1,1,1,_,_) =         92 /        509 == 0.1807465619 =/= 0.1807467785
     nkd(0,0,1,1,1,1,0,0,0,1,1,0,1) =        199 /        555 == 0.3585585586 =/= 0.3585581451
     nkd(0,0,1,1,1,0,1,0,0,1,1,0,1) =        199 /        555 == 0.3585585586 =/= 0.3585581451
     nkd(0,0,1,1,1,0,0,1,0,1,1,0,1) =        117 /        658 == 0.1778115502 =/= 0.1778113665
     nkd(0,0,1,1,1,0,0,0,0,1,1,0,1) =        199 /        555 == 0.3585585586 =/= 0.3585581451
     nke(0,1,1,1,0,0,1,1,0,1,0,0,1) =        120 /        677 == 0.1772525849 =/= 0.1772530632
     nkd(0,0,1,1,1,1,0,0,1,0,1,0,1) =        163 /        499 == 0.3266533066 =/= 0.3266533455
     nkd(0,0,1,1,1,0,0,1,1,0,0,0,1) =        214 /        737 == 0.2903663501 =/= 0.2903658714
     nke(0,0,1,1,1,1,0,0,1,0,0,1,1) =        -25 /        691 == -0.0361794501 =/= -0.0361794537
     nke(0,1,1,1,0,0,0,1,1,1,0,0,1) =         25 /        691 == 0.0361794501 =/= 0.0361794537
     nkd(0,0,1,1,1,0,0,1,0,0,0,0,1) =        157 /        423 == 0.3711583924 =/= 0.3711580211
     nke(0,1,1,1,0,0,0,1,1,0,1,0,1) =         25 /        691 == 0.0361794501 =/= 0.0361794537
     nkd(0,1,1,0,1,0,1,0,0,0,0,1,1) =         -5 /        688 == -0.0072674419 =/= -0.0072670439
     nke(0,1,1,1,0,0,0,1,1,0,0,0,1) =         25 /        691 == 0.0361794501 =/= 0.0361794537
     nkd(0,1,1,0,1,0,1,0,0,0,0,1,0) =         -5 /        688 == -0.0072674419 =/= -0.0072670439
     nkd(0,1,1,0,1,0,1,0,0,0,0,0,1) =         -5 /        688 == -0.0072674419 =/= -0.0072670439
     nkd(0,1,1,0,1,0,1,0,0,0,0,0,0) =         -5 /        688 == -0.0072674419 =/= -0.0072670439
     nke(0,0,1,1,1,0,1,0,0,1,1,1,1) =         43 /        687 == 0.0625909753 =/= 0.0625914349
     nke(0,0,1,1,1,0,1,0,0,1,1,1,0) =        -11 /        725 == -0.0151724138 =/= -0.0151723183
     nke(0,0,1,1,1,0,1,0,0,1,1,0,1) =        -11 /        725 == -0.0151724138 =/= -0.0151723183
     nke(0,0,1,1,1,0,1,0,0,1,1,0,0) =         43 /        687 == 0.0625909753 =/= 0.0625914349
     nke(0,1,1,1,0,1,0,1,0,1,0,0,0) =          3 /        718 == 0.0041782730 =/= 0.0041782403
     nke(0,0,1,1,1,0,1,0,0,1,0,0,1) =         43 /        687 == 0.0625909753 =/= 0.0625914349
     nke(0,0,1,1,1,0,1,0,0,1,0,0,0) =         43 /        687 == 0.0625909753 =/= 0.0625914349
     nkd(0,0,1,1,1,1,0,0,0,1,0,0,0) =        239 /        632 == 0.3781645570 =/= 0.3781643124
     nke(0,1,1,1,0,1,0,1,0,0,0,0,0) =          3 /        718 == 0.0041782730 =/= 0.0041782403
     nkd(0,0,1,1,1,0,0,1,1,0,1,0,0) =        188 /        721 == 0.2607489598 =/= 0.2607486250
     nke(0,0,1,1,1,0,1,0,0,0,1,1,1) =         43 /        687 == 0.0625909753 =/= 0.0625914349
     nkd(0,0,1,1,1,1,0,0,1,0,1,0,0) =        163 /        499 == 0.3266533066 =/= 0.3266533455
     nkd(0,1,1,0,1,0,0,0,1,0,1,1,0) =         17 /        627 == 0.0271132376 =/= 0.0271131247
     nke(0,0,1,1,1,0,1,0,0,0,1,1,0) =         43 /        687 == 0.0625909753 =/= 0.0625914349
     nke(0,0,1,1,1,0,1,0,0,0,1,0,1) =         43 /        687 == 0.0625909753 =/= 0.0625914349
     nkd(0,1,1,0,1,0,0,0,1,0,1,0,0) =         17 /        627 == 0.0271132376 =/= 0.0271131247
     nke(0,1,1,1,0,0,0,1,0,1,1,0,0) =          3 /        718 == 0.0041782730 =/= 0.0041782403
     nke(0,1,1,1,0,0,0,1,1,1,0,0,0) =         17 /        592 == 0.0287162162 =/= 0.0287166805
     nke(0,1,1,1,0,0,0,1,0,1,0,0,0) =          3 /        718 == 0.0041782730 =/= 0.0041782403
     nkd(0,0,1,1,1,0,0,1,0,0,0,0,0) =        157 /        423 == 0.3711583924 =/= 0.3711580211
     nke(0,1,1,1,0,0,0,1,1,0,1,0,0) =         17 /        592 == 0.0287162162 =/= 0.0287166805
     nke(0,0,1,1,1,0,1,0,0,0,0,1,0) =         43 /        687 == 0.0625909753 =/= 0.0625914349
     nke(0,1,1,1,0,0,0,1,0,0,1,0,0) =          3 /        718 == 0.0041782730 =/= 0.0041782403
     nke(0,0,1,1,1,0,1,0,0,0,0,0,1) =         43 /        687 == 0.0625909753 =/= 0.0625914349
     nke(0,0,1,1,1,0,1,0,0,0,0,0,0) =         43 /        687 == 0.0625909753 =/= 0.0625914349
     nkd(0,1,1,0,1,0,0,0,0,0,0,1,1) =          2 /        441 == 0.0045351474 =/= 0.0045350110
     nke(0,1,1,1,0,0,0,1,1,0,0,0,0) =         17 /        592 == 0.0287162162 =/= 0.0287166805
     nkd(0,1,1,0,1,0,0,0,0,0,0,1,0) =          2 /        441 == 0.0045351474 =/= 0.0045350110
     nke(0,1,1,1,0,0,0,1,0,0,0,0,0) =          3 /        718 == 0.0041782730 =/= 0.0041782403
     nkd(0,1,0,1,1,1,1,_,_,_,_,_,_) =         91 /        584 == 0.1558219178 =/= 0.1558217597
     nke(0,1,0,1,1,0,0,1,1,1,0,1,1) =        -38 /        695 == -0.0546762590 =/= -0.0546765323
     nke(0,1,1,0,1,0,0,1,1,1,1,_,_) =         24 /        437 == 0.0549199085 =/= 0.0549201388
     nke(0,1,1,0,1,0,0,1,1,0,1,1,1) =         24 /        437 == 0.0549199085 =/= 0.0549201388
     nke(0,1,1,0,1,0,0,1,1,0,0,1,1) =         24 /        437 == 0.0549199085 =/= 0.0549201388
     nkd(0,1,0,1,1,1,0,0,1,1,1,_,_) =        157 /        591 == 0.2656514382 =/= 0.2656514858
     nkd(0,1,0,1,1,1,0,0,1,0,1,1,1) =        130 /        633 == 0.2053712480 =/= 0.2053709492
     nkd(0,1,0,1,1,0,1,1,0,1,1,_,_) =         62 /        549 == 0.1129326047 =/= 0.1129321146
     nkd(0,1,0,1,1,0,0,1,0,1,1,1,1) =         62 /        549 == 0.1129326047 =/= 0.1129321146
     nke(0,1,0,1,1,1,0,1,0,1,1,_,_) =         19 /        443 == 0.0428893905 =/= 0.0428896451
     nke(0,1,0,1,1,0,1,1,0,1,1,_,_) =         91 /        584 == 0.1558219178 =/= 0.1558217597
     nkd(0,1,0,1,1,1,0,0,0,1,1,1,0) =        103 /        384 == 0.2682291667 =/= 0.2682295994
     nkd(0,1,0,1,1,0,1,0,0,1,1,1,0) =         91 /        584 == 0.1558219178 =/= 0.1558217597
     nkd(0,1,0,1,1,0,0,1,0,1,1,1,0) =         62 /        549 == 0.1129326047 =/= 0.1129321146
     nke(0,1,0,1,1,1,0,1,0,1,0,1,0) =         19 /        443 == 0.0428893905 =/= 0.0428896451
     nkd(0,1,1,1,0,1,0,1,0,1,0,0,0) =         73 /        721 == 0.1012482663 =/= 0.1012482359
     nke(0,1,0,1,1,1,0,0,1,1,1,_,_) =         73 /        721 == 0.1012482663 =/= 0.1012482359
     nkd(0,1,0,1,1,1,0,0,0,1,1,0,1) =         91 /        584 == 0.1558219178 =/= 0.1558217597
     nkd(0,1,0,1,1,0,1,0,0,1,1,0,1) =         91 /        584 == 0.1558219178 =/= 0.1558217597
     nkd(0,1,0,1,1,0,0,0,1,1,1,0,1) =         91 /        584 == 0.1558219178 =/= 0.1558217597
     nkd(0,1,1,1,0,0,1,1,0,1,0,1,0) =         19 /        443 == 0.0428893905 =/= 0.0428896451
     nkd(0,1,1,1,0,0,1,1,0,1,0,0,1) =         13 /        591 == 0.0219966159 =/= 0.0219967291
     nke(0,1,0,1,1,1,0,0,1,1,0,0,0) =         73 /        721 == 0.1012482663 =/= 0.1012482359
     nke(0,1,0,1,1,0,1,0,1,0,1,1,0) =         69 /        665 == 0.1037593985 =/= 0.1037596117
     nkd(0,1,1,1,0,0,1,0,1,0,0,1,1) =         58 /        463 == 0.1252699784 =/= 0.1252701829
     nke(0,1,1,0,1,0,0,1,1,1,0,0,1) =         60 /        647 == 0.0927357032 =/= 0.0927353302
     nke(0,1,1,0,1,0,0,1,1,0,1,0,1) =         60 /        647 == 0.0927357032 =/= 0.0927353302
     nke(0,1,1,0,1,0,0,1,1,0,0,0,1) =         60 /        647 == 0.0927357032 =/= 0.0927353302
     nkd(0,1,0,1,1,1,0,0,0,1,1,0,0) =        103 /        384 == 0.2682291667 =/= 0.2682295994
     nkd(0,1,0,1,1,0,1,0,0,1,1,0,0) =         91 /        584 == 0.1558219178 =/= 0.1558217597
     nkd(0,1,1,1,0,0,0,1,0,1,1,1,1) =        -38 /        695 == -0.0546762590 =/= -0.0546765323
     nkd(0,1,1,1,0,0,0,1,0,0,1,1,0) =        106 /        737 == 0.1438263229 =/= 0.1438263496
     nkd(0,1,1,1,0,0,0,0,1,1,0,1,1) =         85 /        608 == 0.1398026316 =/= 0.1398024242
     nke(0,1,0,1,1,0,1,0,0,0,1,1,0) =         69 /        665 == 0.1037593985 =/= 0.1037596117
     nkd(0,1,1,1,0,0,0,0,0,0,1,1,0) =         43 /        672 == 0.0639880952 =/= 0.0639880505
     nke(0,1,0,1,1,0,1,0,0,0,0,1,0) =         69 /        665 == 0.1037593985 =/= 0.1037596117
     nkd(0,0,0,1,1,1,1,1,1,_,_,_,_) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nkd(0,0,0,1,1,1,1,1,0,1,1,_,_) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,0,0,1,1,1,1,0,1,1,1,_,_) =        204 /        515 == 0.3961165049 =/= 0.3961166726
     nkd(0,0,0,1,1,1,1,0,0,1,1,1,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,0,0,1,1,0,0,1,1,1,1,1,0) =       -193 /        523 == -0.3690248566 =/= -0.3690243870
     nkd(0,0,0,1,1,0,1,0,0,1,1,1,1) =         38 /        395 == 0.0962025316 =/= 0.0962022712
     nkd(0,0,0,1,1,0,0,0,0,1,1,1,1) =         38 /        395 == 0.0962025316 =/= 0.0962022712
     nkd(0,0,0,1,1,1,1,1,0,1,0,1,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,0,0,1,1,1,1,0,1,1,0,1,1) =        139 /        697 == 0.1994261119 =/= 0.1994257376
     nkd(0,0,0,1,1,1,1,0,0,1,0,1,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,0,0,1,1,0,0,0,0,1,0,1,1) =        239 /        527 == 0.4535104364 =/= 0.4535103338
     nke(0,1,1,0,0,0,1,1,1,1,1,_,_) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nkd(0,0,0,1,1,1,1,1,0,0,1,1,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,1,1,0,0,0,1,1,1,1,0,1,1) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nke(0,1,1,0,0,0,1,1,0,1,0,1,1) =        -13 /        617 == -0.0210696921 =/= -0.0210699165
     nke(0,1,1,0,0,0,1,1,1,0,1,1,1) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nkd(0,0,0,1,1,1,1,0,0,0,1,1,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,1,1,0,0,0,1,1,1,0,0,1,1) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nkd(0,1,1,0,0,1,1,0,1,0,0,1,0) =          5 /        542 == 0.0092250923 =/= 0.0092255239
     nkd(0,0,0,1,1,1,0,1,1,0,0,1,1) =         87 /        536 == 0.1623134328 =/= 0.1623139319
     nkd(0,0,0,1,1,1,1,1,0,0,0,1,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,0,0,1,1,1,1,0,1,0,0,1,1) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nke(0,1,1,0,0,1,1,1,0,1,0,1,0) =        -71 /        678 == -0.1047197640 =/= -0.1047192656
     nke(0,0,0,1,1,0,1,1,0,1,1,1,0) =          2 /        575 == 0.0034782609 =/= 0.0034786795
     nkd(0,0,0,1,1,1,1,0,0,1,1,1,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,0,0,1,1,1,1,1,0,1,0,1,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,0,0,1,1,1,0,1,0,1,0,1,1) =        135 /        643 == 0.2099533437 =/= 0.2099535736
     nkd(0,0,0,1,1,1,1,0,1,1,0,1,0) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nkd(0,0,0,1,1,1,1,0,0,1,0,1,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,1,1,0,0,1,0,1,1,0,0,1,0) =        -42 /        583 == -0.0720411664 =/= -0.0720414408
     nkd(0,0,0,1,1,0,0,0,0,1,0,1,0) =        239 /        527 == 0.4535104364 =/= 0.4535103338
     nkd(0,0,0,1,1,1,1,1,0,0,1,1,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,1,1,0,0,0,1,1,1,1,0,1,0) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nkd(0,0,0,1,1,1,1,0,1,0,1,1,0) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nke(0,1,1,0,0,0,1,1,1,0,1,1,0) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nkd(0,0,0,1,1,1,1,0,0,0,1,1,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,1,1,0,0,0,1,1,1,0,0,1,0) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nkd(0,0,0,1,1,1,0,1,1,0,0,1,0) =        285 /        692 == 0.4118497110 =/= 0.4118495364
     nkd(0,0,0,1,1,1,1,1,0,0,0,1,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,1,1,0,0,1,0,0,0,1,0,1,1) =        -37 /        523 == -0.0707456979 =/= -0.0707457234
     nkd(0,1,1,0,0,1,0,0,0,1,0,1,0) =        -37 /        523 == -0.0707456979 =/= -0.0707457234
     nkd(0,0,0,1,1,1,1,0,1,0,0,1,0) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nkd(0,0,0,1,1,1,1,0,0,0,0,1,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,1,1,0,0,1,0,0,0,0,0,1,1) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nkd(0,1,1,0,0,1,0,0,0,0,0,1,0) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nke(0,0,0,1,1,0,1,0,1,1,1,1,1) =         48 /        505 == 0.0950495050 =/= 0.0950491302
     nkd(0,0,0,1,1,1,1,1,0,1,0,0,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,0,0,1,1,1,1,0,1,1,0,0,1) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nke(0,1,1,0,0,1,0,1,0,0,1,0,1) =         -5 /        537 == -0.0093109870 =/= -0.0093112544
     nkd(0,0,0,1,1,1,1,0,0,1,0,0,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,0,0,1,1,0,0,0,1,1,0,1,1) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nkd(0,0,0,1,1,0,0,0,0,1,0,0,1) =        239 /        527 == 0.4535104364 =/= 0.4535103338
     nkd(0,0,0,1,1,1,1,1,0,0,1,0,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,1,1,0,0,0,1,1,1,1,0,0,1) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nke(0,1,1,0,0,0,1,1,0,1,0,0,1) =         -3 /        649 == -0.0046224961 =/= -0.0046223242
     nkd(0,0,0,1,1,1,1,0,1,0,1,0,1) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nke(0,1,1,0,0,0,1,1,1,0,1,0,1) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nkd(0,0,0,1,1,1,1,0,0,0,1,0,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,1,1,0,0,0,1,1,1,0,0,0,1) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nkd(0,0,0,1,1,1,0,1,1,0,0,0,1) =        285 /        692 == 0.4118497110 =/= 0.4118495364
     nkd(0,1,1,0,0,0,1,0,0,1,1,1,0) =        -24 /        695 == -0.0345323741 =/= -0.0345322413
     nkd(0,0,0,1,1,1,1,1,0,0,0,0,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,0,0,1,1,1,1,0,1,0,0,0,1) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nkd(0,0,0,1,1,1,1,0,0,0,0,0,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,1,1,0,0,0,0,1,1,1,1,1,1) =         -2 /        507 == -0.0039447732 =/= -0.0039445258
     nkd(0,1,1,0,0,0,0,1,1,1,1,1,0) =         -2 /        507 == -0.0039447732 =/= -0.0039445258
     nkd(0,1,1,0,0,0,0,1,1,1,1,0,1) =         -2 /        507 == -0.0039447732 =/= -0.0039445258
     nkd(0,1,1,0,0,0,0,1,1,1,1,0,0) =         -2 /        507 == -0.0039447732 =/= -0.0039445258
     nke(0,0,0,1,1,1,1,0,0,1,1,0,0) =         23 /        734 == 0.0313351499 =/= 0.0313350216
     nkd(0,0,0,1,1,1,1,0,0,1,1,0,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,0,0,1,1,1,0,1,1,1,0,0,0) =        224 /        529 == 0.4234404537 =/= 0.4234406943
     nkd(0,0,0,1,1,1,1,1,0,1,0,0,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,0,0,1,1,1,1,0,1,1,0,0,0) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nkd(0,0,0,1,1,1,1,0,0,1,0,0,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,0,0,1,1,0,0,0,0,1,0,1,0) =         16 /        417 == 0.0383693046 =/= 0.0383695380
     nkd(0,0,0,1,1,0,0,0,0,1,0,0,0) =        239 /        527 == 0.4535104364 =/= 0.4535103338
     nkd(0,0,0,1,1,1,1,1,0,0,1,0,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,1,1,0,0,0,1,1,1,1,0,0,0) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nkd(0,0,0,1,1,1,1,0,1,0,1,0,0) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nke(0,1,1,0,0,0,1,1,1,0,1,0,0) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nke(0,0,0,1,1,0,1,0,0,0,1,1,0) =         42 /        583 == 0.0720411664 =/= 0.0720414408
     nkd(0,0,0,1,1,1,1,0,0,0,1,0,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,1,1,0,0,0,1,1,1,0,0,0,0) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nke(0,0,0,1,1,0,0,0,0,0,1,1,0) =         16 /        417 == 0.0383693046 =/= 0.0383695380
     nkd(0,1,1,0,0,0,0,0,0,1,1,1,1) =        -17 /        441 == -0.0385487528 =/= -0.0385487806
     nkd(0,0,0,1,1,1,0,1,1,0,0,0,0) =        285 /        692 == 0.4118497110 =/= 0.4118495364
     nkd(0,1,1,0,0,0,0,0,0,1,1,1,0) =        -17 /        441 == -0.0385487528 =/= -0.0385487806
     nkd(0,0,0,1,1,1,1,1,0,0,0,0,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,0,0,1,1,1,1,0,1,0,0,0,0) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nkd(0,1,1,0,0,0,0,0,0,0,1,1,0) =        -13 /        418 == -0.0311004785 =/= -0.0311009114
     nkd(0,0,0,1,1,1,1,0,0,0,0,0,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,0,0,1,1,0,0,0,0,0,0,1,0) =         16 /        417 == 0.0383693046 =/= 0.0383695380
     nkd(0,0,1,1,0,1,1,1,0,1,1,_,_) =        224 /        529 == 0.4234404537 =/= 0.4234406943
     nke(0,0,1,0,1,1,0,1,1,1,1,_,_) =        -23 /        700 == -0.0328571429 =/= -0.0328570675
     nke(0,1,0,1,0,1,1,1,0,1,1,_,_) =         21 /        556 == 0.0377697842 =/= 0.0377699521
     nkd(0,0,1,1,0,1,1,1,0,1,0,1,1) =        224 /        529 == 0.4234404537 =/= 0.4234406943
     nke(0,0,1,0,1,1,0,1,1,1,0,1,1) =        -23 /        700 == -0.0328571429 =/= -0.0328570675
     nke(0,1,0,1,0,1,0,1,0,1,0,1,1) =          4 /        693 == 0.0057720058 =/= 0.0057721679
     nke(0,0,1,0,1,0,1,1,1,1,0,1,0) =        -46 /        495 == -0.0929292929 =/= -0.0929288173
     nke(0,0,1,0,1,0,1,1,1,1,0,0,0) =        -61 /        697 == -0.0875179340 =/= -0.0875179045
     nkd(0,0,1,1,0,0,0,0,0,1,0,1,1) =        325 /        704 == 0.4616477273 =/= 0.4616473443
     nkd(0,0,1,1,0,0,1,1,1,0,1,1,1) =         53 /        451 == 0.1175166297 =/= 0.1175165856
     nke(0,0,1,0,1,1,0,1,1,0,1,1,1) =        -23 /        700 == -0.0328571429 =/= -0.0328570675
     nkd(0,0,1,1,0,1,0,1,0,0,1,1,1) =        244 /        747 == 0.3266398929 =/= 0.3266400243
     nkd(0,0,1,1,0,1,0,0,1,0,1,1,1) =        163 /        499 == 0.3266533066 =/= 0.3266533455
     nke(0,0,1,0,1,0,1,1,1,0,1,1,0) =        -46 /        495 == -0.0929292929 =/= -0.0929288173
     nke(0,0,1,0,1,0,1,1,1,0,1,0,0) =        -61 /        697 == -0.0875179340 =/= -0.0875179045
     nke(0,1,0,1,0,0,0,1,0,1,1,1,1) =         13 /        668 == 0.0194610778 =/= 0.0194608212
     nkd(0,0,1,1,0,1,1,1,0,0,0,1,1) =        224 /        529 == 0.4234404537 =/= 0.4234406943
     nke(0,0,1,0,1,1,0,1,1,0,0,1,1) =        -23 /        700 == -0.0328571429 =/= -0.0328570675
     nke(0,1,0,1,0,0,0,1,0,1,0,1,1) =         13 /        668 == 0.0194610778 =/= 0.0194608212
     nke(0,0,1,0,1,1,0,1,1,0,0,0,0) =         44 /        425 == 0.1035294118 =/= 0.1035295902
     nke(0,0,1,0,1,0,1,1,1,0,0,1,0) =        -46 /        495 == -0.0929292929 =/= -0.0929288173
     nke(0,1,0,1,0,0,0,1,0,0,1,1,1) =         13 /        668 == 0.0194610778 =/= 0.0194608212
     nke(0,1,0,1,0,0,0,0,1,0,1,1,1) =         -4 /        665 == -0.0060150376 =/= -0.0060149831
     nke(0,0,1,0,1,0,1,1,1,0,0,0,0) =        -61 /        697 == -0.0875179340 =/= -0.0875179045
     nkd(0,0,1,1,0,1,1,0,0,0,0,1,1) =        263 /        732 == 0.3592896175 =/= 0.3592893602
     nke(0,1,0,1,0,0,0,1,0,0,0,1,1) =         13 /        668 == 0.0194610778 =/= 0.0194608212
     nkd(0,0,1,1,0,0,1,0,0,0,0,1,1) =        211 /        567 == 0.3721340388 =/= 0.3721344254
     nke(0,0,1,0,1,0,0,1,1,0,0,0,0) =         41 /        646 == 0.0634674923 =/= 0.0634673367
     nke(0,1,0,1,0,1,1,1,0,0,1,1,0) =         48 /        665 == 0.0721804511 =/= 0.0721805880
     nkd(0,1,0,0,1,1,0,1,1,0,1,0,1) =         13 /        736 == 0.0176630435 =/= 0.0176632506
     nke(0,1,0,1,0,1,1,0,0,0,0,1,0) =         25 /        586 == 0.0426621160 =/= 0.0426618658
     nkd(0,0,1,1,0,0,1,1,1,1,0,1,0) =        163 /        499 == 0.3266533066 =/= 0.3266533455
     nkd(0,0,1,1,0,1,1,1,0,1,0,1,0) =        224 /        529 == 0.4234404537 =/= 0.4234406943
     nke(0,1,0,1,0,1,0,1,0,0,1,1,0) =          4 /        543 == 0.0073664825 =/= 0.0073660956
     nkd(0,1,0,0,1,1,0,1,0,0,1,0,1) =        -61 /        697 == -0.0875179340 =/= -0.0875179045
     nkd(0,0,1,1,0,0,0,0,0,1,0,1,0) =        325 /        704 == 0.4616477273 =/= 0.4616473443
     nke(0,1,0,1,0,0,1,0,1,1,1,1,0) =         32 /        703 == 0.0455192034 =/= 0.0455191970
     nke(0,1,0,1,0,0,1,1,1,1,0,1,0) =         20 /        491 == 0.0407331976 =/= 0.0407331935
     nkd(0,0,1,1,0,1,0,1,0,0,1,1,0) =        244 /        747 == 0.3266398929 =/= 0.3266400243
     nke(0,1,0,1,0,0,1,1,1,0,1,1,0) =         20 /        491 == 0.0407331976 =/= 0.0407331935
     nkd(0,0,1,1,0,1,0,0,1,0,1,1,0) =         55 /        651 == 0.0844854071 =/= 0.0844854192
     nke(0,1,0,1,0,0,1,1,1,0,0,1,0) =         20 /        491 == 0.0407331976 =/= 0.0407331935
     nke(0,0,1,0,1,1,1,1,0,0,0,1,0) =         15 /        517 == 0.0290135397 =/= 0.0290130442
     nke(0,1,0,1,0,0,0,1,0,1,1,1,0) =          3 /        718 == 0.0041782730 =/= 0.0041782403
     nkd(0,0,1,1,0,1,1,1,0,0,0,1,0) =        224 /        529 == 0.4234404537 =/= 0.4234406943
     nke(0,1,0,1,0,0,0,1,0,1,0,1,0) =          3 /        718 == 0.0041782730 =/= 0.0041782403
     nke(0,1,0,1,0,0,0,1,0,0,1,1,0) =          3 /        718 == 0.0041782730 =/= 0.0041782403
     nke(0,1,0,1,0,0,0,1,0,0,0,1,0) =          3 /        718 == 0.0041782730 =/= 0.0041782403
     nkd(0,0,1,1,0,0,1,0,0,0,0,1,0) =        279 /        707 == 0.3946251768 =/= 0.3946252259
     nke(0,0,1,0,1,1,0,0,1,1,1,1,0) =         27 /        377 == 0.0716180371 =/= 0.0716178003
     nke(0,1,0,1,0,1,0,1,0,1,1,0,1) =          4 /        693 == 0.0057720058 =/= 0.0057721679
     nkd(0,0,1,1,0,0,1,1,1,1,0,0,1) =        148 /        463 == 0.3196544276 =/= 0.3196541764
     nkd(0,0,1,1,0,1,1,1,0,1,0,0,1) =        224 /        529 == 0.4234404537 =/= 0.4234406943
     nke(0,0,1,0,1,1,0,0,1,1,0,1,0) =          1 /        740 == 0.0013513514 =/= 0.0013511125
     nkd(0,0,1,1,0,1,0,1,1,0,1,0,1) =        250 /        699 == 0.3576537911 =/= 0.3576536224
     nkd(0,1,0,0,1,0,1,0,1,1,0,1,1) =         30 /        581 == 0.0516351119 =/= 0.0516348145
     nkd(0,1,0,0,1,0,1,0,1,1,0,1,0) =         30 /        581 == 0.0516351119 =/= 0.0516348145
     nke(0,0,1,0,1,1,0,0,1,0,1,1,0) =         27 /        377 == 0.0716180371 =/= 0.0716178003
     nkd(0,1,0,0,1,0,1,0,1,1,0,0,1) =         30 /        581 == 0.0516351119 =/= 0.0516348145
     nkd(0,1,0,0,1,0,1,0,1,1,0,0,0) =         30 /        581 == 0.0516351119 =/= 0.0516348145
     nke(0,1,0,1,0,0,0,1,0,1,1,0,1) =          3 /        718 == 0.0041782730 =/= 0.0041782403
     nkd(0,0,1,1,0,1,1,1,0,0,0,0,1) =        224 /        529 == 0.4234404537 =/= 0.4234406943
     nke(0,0,1,0,1,1,0,0,1,0,0,1,0) =         27 /        377 == 0.0716180371 =/= 0.0716178003
     nke(0,1,0,1,0,0,0,1,0,1,0,0,1) =          3 /        718 == 0.0041782730 =/= 0.0041782403
     nke(0,0,1,0,1,1,1,0,0,1,1,1,1) =         25 /        587 == 0.0425894378 =/= 0.0425898521
     nke(0,1,0,1,0,1,1,0,0,1,1,0,0) =         25 /        586 == 0.0426621160 =/= 0.0426618658
     nke(0,1,0,1,0,1,1,0,1,1,0,0,0) =         25 /        586 == 0.0426621160 =/= 0.0426618658
     nke(0,1,0,1,0,1,0,1,0,1,1,0,0) =          4 /        693 == 0.0057720058 =/= 0.0057721679
     nkd(0,0,1,1,0,0,1,1,1,1,0,0,0) =        191 /        537 == 0.3556797020 =/= 0.3556797109
     nke(0,1,0,1,0,1,0,0,0,1,1,0,0) =        -53 /        431 == -0.1229698376 =/= -0.1229697042
     nkd(0,0,1,1,0,1,1,1,0,1,0,0,0) =        224 /        529 == 0.4234404537 =/= 0.4234406943
     nkd(0,0,1,1,0,0,0,1,0,1,0,0,0) =        250 /        593 == 0.4215851602 =/= 0.4215850908
     nkd(0,0,1,1,0,1,0,1,1,0,1,0,0) =        250 /        699 == 0.3576537911 =/= 0.3576536224
     nkd(0,0,1,1,0,1,0,1,0,0,1,0,0) =        244 /        747 == 0.3266398929 =/= 0.3266400243
     nkd(0,0,1,1,0,1,1,1,0,0,0,0,0) =        224 /        529 == 0.4234404537 =/= 0.4234406943
     nkd(0,1,0,1,0,1,1,1,1,_,_,_,_) =        203 /        683 == 0.2972181552 =/= 0.2972181116
     nkd(0,1,0,1,0,1,1,1,0,1,1,_,_) =         91 /        584 == 0.1558219178 =/= 0.1558217597
     nkd(0,1,0,1,0,1,0,1,1,1,1,_,_) =        157 /        591 == 0.2656514382 =/= 0.2656514858
     nkd(0,1,0,1,0,0,1,1,1,1,1,_,_) =         87 /        422 == 0.2061611374 =/= 0.2061608568
     nkd(0,1,0,1,0,0,1,1,1,1,0,1,1) =         -7 /        617 == -0.0113452188 =/= -0.0113451773
     nkd(0,1,0,1,0,1,1,1,0,1,0,1,1) =         91 /        584 == 0.1558219178 =/= 0.1558217597
     nkd(0,1,0,1,0,1,1,0,1,1,0,1,1) =        203 /        683 == 0.2972181552 =/= 0.2972181116
     nkd(0,1,0,1,0,1,1,0,0,1,0,1,1) =         91 /        584 == 0.1558219178 =/= 0.1558217597
     nkd(0,1,0,1,0,1,1,1,0,0,0,1,1) =         91 /        584 == 0.1558219178 =/= 0.1558217597
     nkd(0,1,0,1,0,1,1,1,0,0,0,1,0) =         91 /        584 == 0.1558219178 =/= 0.1558217597
     nkd(0,1,0,1,0,1,1,1,0,0,0,0,1) =         91 /        584 == 0.1558219178 =/= 0.1558217597
     nke(0,1,0,0,1,0,0,1,1,1,0,0,1) =        -33 /        397 == -0.0831234257 =/= -0.0831229639
     nkd(0,1,0,1,0,1,1,1,0,0,0,0,0) =         91 /        584 == 0.1558219178 =/= 0.1558217597
     nkd(0,1,0,1,0,1,1,0,0,0,0,1,1) =         91 /        584 == 0.1558219178 =/= 0.1558217597
     nkd(0,1,0,1,0,1,1,0,0,0,0,1,0) =         91 /        584 == 0.1558219178 =/= 0.1558217597
     nkd(0,1,0,1,0,0,0,1,1,1,1,1,0) =         87 /        422 == 0.2061611374 =/= 0.2061608568
     nkd(0,1,0,1,0,1,0,0,1,1,1,1,0) =        157 /        591 == 0.2656514382 =/= 0.2656514858
     nke(0,1,0,0,1,1,1,0,1,0,0,1,0) =        -21 /        506 == -0.0415019763 =/= -0.0415023939
     nkd(0,1,0,1,0,0,1,1,1,1,0,1,0) =        184 /        591 == 0.3113367174 =/= 0.3113364724
     nke(0,1,0,0,1,1,1,1,0,1,0,0,0) =        -97 /        699 == -0.1387696710 =/= -0.1387700972
     nkd(0,1,0,1,0,0,0,1,1,1,1,0,1) =         87 /        422 == 0.2061611374 =/= 0.2061608568
     nkd(0,1,0,1,0,0,0,1,1,1,1,0,0) =         87 /        422 == 0.2061611374 =/= 0.2061608568
     nkd(0,0,0,1,0,1,1,1,1,1,1,_,_) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nke(0,0,0,0,1,1,1,1,1,1,1,_,_) =        -41 /        732 == -0.0560109290 =/= -0.0560106306
     nkd(0,0,0,1,0,1,1,1,0,1,1,1,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,0,0,0,1,0,1,1,1,1,1,1,0) =        -17 /        474 == -0.0358649789 =/= -0.0358644931
     nkd(0,0,0,1,0,0,0,0,1,1,1,1,1) =        181 /        698 == 0.2593123209 =/= 0.2593121777
     nkd(0,0,0,1,0,1,1,0,0,1,1,1,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,1,0,0,0,1,1,1,1,0,0,1,1) =        -30 /        641 == -0.0468018721 =/= -0.0468015933
     nkd(0,0,0,1,0,1,1,1,1,1,0,1,1) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nkd(0,0,0,1,0,1,0,1,1,1,0,1,1) =        149 /        469 == 0.3176972281 =/= 0.3176972790
     nkd(0,1,0,0,0,1,1,1,0,1,1,1,0) =         29 /        738 == 0.0392953930 =/= 0.0392951635
     nke(0,0,0,0,1,1,1,1,1,1,0,0,1) =        -41 /        732 == -0.0560109290 =/= -0.0560106306
     nkd(0,0,0,1,0,1,1,1,0,1,0,1,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,1,0,0,0,1,1,1,0,0,1,1,0) =         79 /        488 == 0.1618852459 =/= 0.1618848837
     nke(0,0,0,0,1,0,1,1,1,1,0,1,0) =        -17 /        474 == -0.0358649789 =/= -0.0358644931
     nkd(0,1,0,0,0,1,1,1,0,0,1,0,1) =         79 /        488 == 0.1618852459 =/= 0.1618848837
     nkd(0,1,0,0,0,1,1,1,0,0,1,0,0) =         89 /        726 == 0.1225895317 =/= 0.1225897203
     nkd(0,0,0,1,0,1,1,0,0,1,0,1,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,1,0,0,0,1,1,1,0,0,0,1,1) =        -30 /        641 == -0.0468018721 =/= -0.0468015933
     nkd(0,0,0,1,0,1,1,1,1,0,1,1,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,1,0,0,0,0,1,1,1,1,1,1,1) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nkd(0,1,0,0,0,1,1,0,1,1,1,1,0) =         81 /        718 == 0.1128133705 =/= 0.1128128833
     nkd(0,0,0,1,0,1,1,1,0,0,1,1,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,1,0,0,0,0,1,1,1,1,0,1,1) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nkd(0,1,0,0,0,1,1,0,1,1,0,1,0) =         23 /        700 == 0.0328571429 =/= 0.0328570675
     nke(0,1,0,0,0,0,1,1,1,0,1,1,1) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nke(0,0,0,0,1,0,1,1,1,0,1,1,0) =        -17 /        474 == -0.0358649789 =/= -0.0358644931
     nkd(0,0,0,1,0,1,1,0,0,0,1,1,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,1,0,0,0,0,1,1,1,0,0,1,1) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nke(0,1,0,0,0,0,0,1,0,1,1,1,1) =         15 /        728 == 0.0206043956 =/= 0.0206042021
     nkd(0,0,0,1,0,1,1,1,0,0,0,1,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,0,0,0,1,0,1,1,1,0,0,1,0) =        -17 /        474 == -0.0358649789 =/= -0.0358644931
     nke(0,1,0,0,0,0,0,1,0,0,1,1,1) =         15 /        728 == 0.0206043956 =/= 0.0206042021
     nkd(0,0,0,1,0,1,1,0,0,0,0,1,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,1,0,0,0,1,1,0,0,0,0,1,1) =        -14 /        529 == -0.0264650284 =/= -0.0264652660
     nke(0,0,0,0,1,1,1,1,0,1,1,1,0) =         -7 /        715 == -0.0097902098 =/= -0.0097897625
     nke(0,1,0,0,0,1,1,1,0,1,1,1,0) =         79 /        509 == 0.1552062868 =/= 0.1552063467
     nke(0,0,0,0,1,1,1,1,0,1,1,0,0) =        -15 /        568 == -0.0264084507 =/= -0.0264082882
     nkd(0,0,0,1,0,1,1,1,0,1,1,1,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,1,0,0,0,1,0,1,1,0,1,1,0) =         -3 /        683 == -0.0043923865 =/= -0.0043921708
     nke(0,1,0,0,0,1,1,1,0,0,1,1,0) =         79 /        509 == 0.1552062868 =/= 0.1552063467
     nkd(0,0,0,1,0,0,0,0,1,1,1,1,0) =        181 /        698 == 0.2593123209 =/= 0.2593121777
     nkd(0,0,0,1,0,1,1,0,0,1,1,1,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,0,0,0,1,0,0,1,0,1,1,1,1) =          1 /        560 == 0.0017857143 =/= 0.0017859639
     nkd(0,0,0,1,0,1,1,1,1,1,0,1,0) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nkd(0,0,0,1,0,1,0,1,1,1,0,1,0) =        149 /        469 == 0.3176972281 =/= 0.3176972790
     nkd(0,0,0,1,0,1,1,1,0,1,0,1,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,0,0,1,0,1,0,0,1,1,0,1,0) =        115 /        449 == 0.2561247216 =/= 0.2561245862
     nkd(0,0,0,1,0,1,1,0,0,1,0,1,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,0,0,0,1,0,0,1,0,1,0,1,1) =          1 /        560 == 0.0017857143 =/= 0.0017859639
     nkd(0,0,0,1,0,1,1,1,1,0,1,1,0) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nkd(0,0,0,1,0,1,1,1,0,0,1,1,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,0,0,1,0,1,1,0,0,0,1,1,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,0,0,0,1,0,0,1,0,0,1,1,1) =          1 /        560 == 0.0017857143 =/= 0.0017859639
     nkd(0,0,0,1,0,1,1,1,1,0,0,1,0) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nkd(0,1,0,0,0,1,0,0,0,1,1,1,1) =        -12 /        463 == -0.0259179266 =/= -0.0259180417
     nkd(0,0,0,1,0,1,1,1,0,0,0,1,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,0,0,1,0,1,1,0,0,0,0,1,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,0,0,0,1,0,0,1,0,0,0,1,1) =          1 /        560 == 0.0017857143 =/= 0.0017859639
     nke(0,1,0,0,0,1,1,1,0,1,1,0,1) =         39 /        557 == 0.0700179533 =/= 0.0700178056
     nke(0,0,0,0,1,1,1,0,1,1,1,0,0) =        -51 /        541 == -0.0942698706 =/= -0.0942699060
     nkd(0,0,0,1,0,1,1,1,0,1,1,0,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,1,0,0,0,1,1,1,1,1,0,0,1) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nkd(0,0,0,1,0,1,1,1,1,1,0,0,1) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nkd(0,1,0,0,0,0,1,1,0,1,1,1,1) =         25 /        487 == 0.0513347023 =/= 0.0513350216
     nkd(0,0,0,1,0,1,0,1,1,1,0,0,1) =        149 /        469 == 0.3176972281 =/= 0.3176972790
     nkd(0,1,0,0,0,0,1,1,0,1,1,1,0) =         25 /        487 == 0.0513347023 =/= 0.0513350216
     nkd(0,1,0,0,0,0,1,1,0,1,1,0,1) =         25 /        487 == 0.0513347023 =/= 0.0513350216
     nkd(0,1,0,0,0,0,1,1,0,1,1,0,0) =         25 /        487 == 0.0513347023 =/= 0.0513350216
     nkd(0,0,0,1,0,1,1,1,0,1,0,0,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,0,0,1,0,1,1,1,1,0,1,0,1) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nke(0,1,0,0,0,0,1,1,1,1,1,0,1) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nkd(0,0,0,1,0,1,1,1,0,0,1,0,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nke(0,1,0,0,0,0,1,1,1,1,0,0,1) =        -44 /        691 == -0.0636758321 =/= -0.0636762553
     nkd(0,0,0,1,0,1,1,1,1,0,0,0,1) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nke(0,1,0,0,0,0,0,1,0,1,1,0,1) =         15 /        728 == 0.0206043956 =/= 0.0206042021
     nkd(0,0,0,1,0,1,1,1,0,0,0,0,1) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,0,0,1,0,1,1,1,0,1,1,0,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,1,0,0,0,0,0,1,1,1,0,1,1) =         26 /        487 == 0.0533880903 =/= 0.0533880690
     nkd(0,1,0,0,0,0,0,1,1,1,0,0,1) =         67 /        582 == 0.1151202749 =/= 0.1151207481
     nkd(0,1,0,0,0,0,0,1,1,1,0,0,0) =         67 /        582 == 0.1151202749 =/= 0.1151207481
     nkd(0,0,0,1,0,1,1,1,1,1,0,0,0) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nke(0,0,0,0,1,1,1,0,0,1,0,1,1) =         41 /        732 == 0.0560109290 =/= 0.0560106306
     nkd(0,0,0,1,0,1,0,1,1,1,0,0,0) =        149 /        469 == 0.3176972281 =/= 0.3176972790
     nkd(0,0,0,1,0,1,1,1,0,1,0,0,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,1,0,0,0,0,0,1,0,1,0,1,1) =         26 /        487 == 0.0533880903 =/= 0.0533880690
     nkd(0,0,0,1,0,1,1,1,1,0,1,0,0) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nke(0,0,0,0,1,1,1,0,0,0,1,1,1) =         41 /        732 == 0.0560109290 =/= 0.0560106306
     nkd(0,0,0,1,0,1,1,1,0,0,1,0,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,0,0,1,0,1,1,1,1,0,0,0,0) =        283 /        624 == 0.4535256410 =/= 0.4535252377
     nke(0,0,0,0,1,1,1,0,0,0,0,1,1) =         41 /        732 == 0.0560109290 =/= 0.0560106306
     nkd(0,1,0,0,0,0,0,0,0,1,1,1,0) =          1 /        514 == 0.0019455253 =/= 0.0019451589
     nkd(0,0,0,1,0,1,1,1,0,0,0,0,0) =        263 /        584 == 0.4503424658 =/= 0.4503429220
     nkd(0,0,1,0,1,1,1,0,1,1,1,_,_) =         85 /        653 == 0.1301684533 =/= 0.1301682955
     nkd(0,0,1,0,1,1,1,0,0,1,1,1,1) =        -65 /        627 == -0.1036682616 =/= -0.1036686055
     nkd(0,0,1,0,1,0,0,1,1,1,1,1,1) =        -62 /        395 == -0.1569620253 =/= -0.1569621071
     nke(0,0,1,1,0,0,0,1,1,1,1,0,0) =        -41 /        616 == -0.0665584416 =/= -0.0665587781
     nke(0,0,1,1,0,1,0,0,1,1,1,1,1) =        101 /        546 == 0.1849816850 =/= 0.1849814690
     nkd(0,0,1,0,1,0,0,1,1,1,0,1,1) =         50 /        407 == 0.1228501229 =/= 0.1228499453
     nke(0,0,1,1,0,1,0,0,1,1,0,1,1) =        101 /        546 == 0.1849816850 =/= 0.1849814690
     nkd(0,0,1,0,1,1,0,0,0,1,0,1,1) =         41 /        732 == 0.0560109290 =/= 0.0560106306
     nke(0,0,1,1,0,1,0,0,1,0,0,1,1) =        101 /        546 == 0.1849816850 =/= 0.1849814690
     nke(0,0,1,1,0,0,0,1,1,1,0,0,0) =        -41 /        616 == -0.0665584416 =/= -0.0665587781
     nke(0,0,1,1,0,0,1,1,1,0,1,1,1) =        -62 /        661 == -0.0937972769 =/= -0.0937970693
     nkd(0,0,1,0,1,1,0,0,1,0,1,1,1) =        231 /        688 == 0.3357558140 =/= 0.3357559451
     nke(0,0,1,1,0,0,0,1,1,0,1,0,0) =        -41 /        616 == -0.0665584416 =/= -0.0665587781
     nkd(0,0,1,0,1,0,0,1,1,0,0,1,1) =         59 /        525 == 0.1123809524 =/= 0.1123813292
     nke(0,0,1,1,0,0,0,0,0,1,1,1,1) =          9 /        506 == 0.0177865613 =/= 0.0177869663
     nkd(0,0,1,0,1,1,1,0,0,1,0,0,1) =         91 /        537 == 0.1694599628 =/= 0.1694595022
     nke(0,0,1,1,0,0,0,0,0,1,0,1,1) =          9 /        506 == 0.0177865613 =/= 0.0177869663
     nke(0,0,1,1,0,0,0,0,0,0,1,1,1) =          9 /        506 == 0.0177865613 =/= 0.0177869663
     nke(0,0,1,1,0,0,0,0,0,0,0,1,1) =          9 /        506 == 0.0177865613 =/= 0.0177869663
     nke(0,0,1,1,0,0,0,1,1,0,0,0,0) =        -41 /        616 == -0.0665584416 =/= -0.0665587781
     nke(0,0,1,1,0,1,0,1,0,1,1,0,0) =        177 /        683 == 0.2591508053 =/= 0.2591507406
     nkd(0,0,1,0,1,1,0,1,1,0,1,1,0) =         87 /        598 == 0.1454849498 =/= 0.1454850367
     nkd(0,0,1,0,1,1,0,1,1,0,1,0,0) =        111 /        737 == 0.1506105834 =/= 0.1506109287
     nkd(0,0,1,0,1,1,0,1,1,0,0,0,0) =         44 /        399 == 0.1102756892 =/= 0.1102761841
     nke(0,0,1,1,0,1,0,0,1,1,1,1,0) =        101 /        546 == 0.1849816850 =/= 0.1849814690
     nkd(0,0,1,0,1,0,0,1,1,1,0,1,0) =         50 /        407 == 0.1228501229 =/= 0.1228499453
     nkd(0,0,1,0,1,1,0,1,0,1,0,1,0) =        -41 /        629 == -0.0651828299 =/= -0.0651828697
     nke(0,0,1,1,0,1,0,0,1,1,0,1,0) =        101 /        546 == 0.1849816850 =/= 0.1849814690
     nkd(0,0,1,0,1,1,0,1,0,1,0,0,0) =        -41 /        629 == -0.0651828299 =/= -0.0651828697
     nke(0,0,1,1,0,1,0,1,0,1,0,0,0) =        177 /        683 == 0.2591508053 =/= 0.2591507406
     nke(0,0,1,1,0,1,0,0,1,0,1,1,0) =        101 /        546 == 0.1849816850 =/= 0.1849814690
     nkd(0,0,1,0,1,1,0,0,0,1,0,1,0) =         41 /        732 == 0.0560109290 =/= 0.0560106306
     nkd(0,0,1,0,1,1,0,1,0,0,0,0,1) =         84 /        719 == 0.1168289291 =/= 0.1168287632
     nke(0,0,1,1,0,1,0,0,1,0,0,1,0) =        101 /        546 == 0.1849816850 =/= 0.1849814690
     nkd(0,0,1,0,1,1,0,1,0,0,0,0,0) =        126 /        685 == 0.1839416058 =/= 0.1839418879
     nkd(0,0,1,0,1,1,0,0,1,1,1,0,1) =         61 /        442 == 0.1380090498 =/= 0.1380089423
     nkd(0,0,1,0,1,0,0,1,1,0,1,1,0) =        111 /        737 == 0.1506105834 =/= 0.1506109287
     nke(0,0,1,1,0,1,0,1,0,0,1,0,0) =        177 /        683 == 0.2591508053 =/= 0.2591507406
     nkd(0,0,1,0,1,0,0,1,1,0,0,1,0) =         96 /        709 == 0.1354019746 =/= 0.1354020760
     nkd(0,0,1,0,1,1,0,0,0,1,0,0,0) =         41 /        732 == 0.0560109290 =/= 0.0560106306
     nkd(0,0,1,0,1,1,0,0,0,0,0,1,0) =        139 /        472 == 0.2944915254 =/= 0.2944918820
     nkd(0,0,1,0,1,1,0,0,0,0,0,0,1) =        155 /        674 == 0.2299703264 =/= 0.2299701922
     nkd(0,0,1,0,1,1,0,0,0,0,0,0,0) =        113 /        581 == 0.1944922547 =/= 0.1944918820
     nke(0,0,1,1,0,1,0,0,1,1,1,0,1) =        101 /        546 == 0.1849816850 =/= 0.1849814690
     nke(0,0,1,1,0,0,0,0,1,1,1,0,1) =         29 /        573 == 0.0506108202 =/= 0.0506109287
     nkd(0,0,1,0,1,0,0,1,1,1,0,0,1) =         50 /        407 == 0.1228501229 =/= 0.1228499453
     nke(0,0,1,1,0,1,0,0,1,1,0,0,1) =        101 /        546 == 0.1849816850 =/= 0.1849814690
     nkd(0,0,1,0,1,0,1,1,0,0,1,0,1) =         58 /        605 == 0.0958677686 =/= 0.0958677904
     nke(0,0,1,1,0,1,0,0,1,0,1,0,1) =        101 /        546 == 0.1849816850 =/= 0.1849814690
     nke(0,0,1,1,0,0,0,0,1,1,0,0,1) =         29 /        573 == 0.0506108202 =/= 0.0506109287
     nke(0,0,1,1,0,1,0,0,1,0,0,0,1) =        101 /        546 == 0.1849816850 =/= 0.1849814690
     nkd(0,0,1,0,1,0,0,1,1,0,1,0,1) =        111 /        737 == 0.1506105834 =/= 0.1506109287
     nke(0,0,1,1,0,0,0,0,1,0,1,0,1) =         29 /        573 == 0.0506108202 =/= 0.0506109287
     nkd(0,0,1,0,1,0,0,1,1,0,0,0,1) =         96 /        709 == 0.1354019746 =/= 0.1354020760
     nke(0,0,1,1,0,0,0,0,1,0,0,0,1) =         29 /        573 == 0.0506108202 =/= 0.0506109287
     nkd(0,0,1,0,1,0,0,1,1,1,0,0,0) =         50 /        407 == 0.1228501229 =/= 0.1228499453
     nkd(0,0,1,0,1,0,0,1,1,0,1,0,0) =        111 /        737 == 0.1506105834 =/= 0.1506109287
     nkd(0,0,1,0,0,1,1,1,1,1,0,1,0) =         15 /        478 == 0.0313807531 =/= 0.0313802609
     nkd(0,0,1,0,0,1,1,1,1,1,0,0,1) =         74 /        647 == 0.1143740340 =/= 0.1143744972
     nkd(0,0,0,0,1,0,0,1,0,1,1,1,1) =        191 /        661 == 0.2889561271 =/= 0.2889559345
     nke(0,0,1,0,0,1,1,0,0,1,0,1,1) =       -111 /        586 == -0.1894197952 =/= -0.1894196705
     nke(0,0,0,1,0,0,1,1,1,1,1,1,1) =         68 /        471 == 0.1443736730 =/= 0.1443734420
     nkd(0,0,0,0,1,1,0,0,1,1,1,1,1) =        113 /        696 == 0.1623563218 =/= 0.1623558739
     nke(0,0,0,1,0,0,0,1,1,1,1,1,0) =         -3 /        644 == -0.0046583851 =/= -0.0046588586
     nke(0,0,0,1,0,0,0,1,1,1,1,0,1) =         -3 /        644 == -0.0046583851 =/= -0.0046588586
     nke(0,0,0,1,0,0,0,1,1,1,1,0,0) =         -3 /        644 == -0.0046583851 =/= -0.0046588586
     nke(0,0,1,0,0,1,0,1,1,1,1,1,1) =        -81 /        718 == -0.1128133705 =/= -0.1128128833
     nke(0,0,1,0,0,1,0,1,0,1,1,1,1) =        -81 /        718 == -0.1128133705 =/= -0.1128128833
     nke(0,0,1,0,0,1,0,1,1,1,0,1,1) =        -81 /        718 == -0.1128133705 =/= -0.1128128833
     nke(0,0,1,0,0,1,0,1,0,1,0,1,1) =        -81 /        718 == -0.1128133705 =/= -0.1128128833
     nkd(0,0,1,0,0,1,1,1,0,1,0,0,1) =        175 /        579 == 0.3022452504 =/= 0.3022457432
     nke(0,0,0,1,0,0,1,1,1,1,0,1,1) =         68 /        471 == 0.1443736730 =/= 0.1443734420
     nke(0,0,1,0,0,1,0,1,1,0,1,1,1) =        -81 /        718 == -0.1128133705 =/= -0.1128128833
     nkd(0,0,1,0,0,1,1,1,0,0,1,1,0) =        248 /        695 == 0.3568345324 =/= 0.3568349622
     nke(0,0,1,0,0,1,0,1,0,0,1,1,1) =        -81 /        718 == -0.1128133705 =/= -0.1128128833
     nke(0,0,1,0,0,1,0,1,1,0,0,1,1) =        -81 /        718 == -0.1128133705 =/= -0.1128128833
     nke(0,0,0,1,0,0,0,1,1,1,0,1,0) =         -3 /        644 == -0.0046583851 =/= -0.0046588586
     nke(0,0,1,0,0,1,0,1,0,0,0,1,1) =        -81 /        718 == -0.1128133705 =/= -0.1128128833
     nke(0,0,0,1,0,0,0,1,1,1,0,0,1) =         -3 /        644 == -0.0046583851 =/= -0.0046588586
     nke(0,0,0,1,0,0,0,1,1,1,0,0,0) =         -3 /        644 == -0.0046583851 =/= -0.0046588586
     nkd(0,0,1,0,0,1,1,0,1,0,1,1,1) =         -1 /        473 == -0.0021141649 =/= -0.0021143777
     nke(0,0,0,1,0,0,1,1,1,0,1,1,1) =         68 /        471 == 0.1443736730 =/= 0.1443734420
     nke(0,0,0,1,0,0,0,1,1,0,1,1,0) =         -3 /        644 == -0.0046583851 =/= -0.0046588586
     nkd(0,0,1,0,0,1,1,0,0,1,0,1,1) =        151 /        577 == 0.2616984402 =/= 0.2616985188
     nkd(0,0,1,0,0,1,1,0,0,1,0,1,0) =         93 /        679 == 0.1369661267 =/= 0.1369659320
     nke(0,0,0,1,0,0,1,1,1,0,0,1,1) =         68 /        471 == 0.1443736730 =/= 0.1443734420
     nke(0,0,0,1,0,0,0,1,1,0,0,1,0) =         -3 /        644 == -0.0046583851 =/= -0.0046588586
     nkd(0,0,0,0,1,0,1,1,1,1,1,1,0) =         61 /        469 == 0.1300639659 =/= 0.1300637043
     nkd(0,0,1,0,0,1,0,1,1,1,0,1,1) =       -159 /        656 == -0.2423780488 =/= -0.2423782957
     nke(0,0,0,1,0,1,0,1,0,1,1,1,1) =        151 /        577 == 0.2616984402 =/= 0.2616985188
     nke(0,0,0,1,0,1,0,1,0,1,1,1,0) =        151 /        577 == 0.2616984402 =/= 0.2616985188
     nke(0,0,0,1,0,1,0,1,0,1,1,0,1) =        151 /        577 == 0.2616984402 =/= 0.2616985188
     nkd(0,0,0,0,1,0,0,1,0,1,1,1,0) =        191 /        661 == 0.2889561271 =/= 0.2889559345
     nkd(0,0,0,0,1,1,0,0,1,1,1,1,0) =        113 /        696 == 0.1623563218 =/= 0.1623558739
     nke(0,0,0,1,0,0,1,1,0,1,1,0,1) =        -43 /        687 == -0.0625909753 =/= -0.0625914349
     nkd(0,0,1,0,0,1,0,1,1,0,0,1,1) =         19 /        728 == 0.0260989011 =/= 0.0260986033
     nkd(0,0,0,0,1,0,1,0,0,1,1,1,0) =         55 /        501 == 0.1097804391 =/= 0.1097809256
     nkd(0,0,1,0,0,1,0,1,1,0,0,0,0) =        106 /        687 == 0.1542940320 =/= 0.1542943062
     nke(0,0,0,1,0,1,1,1,0,1,0,0,0) =          3 /        599 == 0.0050083472 =/= 0.0050082433
     nke(0,0,0,1,0,1,0,1,0,1,0,1,1) =        151 /        577 == 0.2616984402 =/= 0.2616985188
     nke(0,0,0,1,0,1,0,1,0,1,0,1,0) =        151 /        577 == 0.2616984402 =/= 0.2616985188
     nke(0,0,0,1,0,1,0,1,0,1,0,0,1) =        151 /        577 == 0.2616984402 =/= 0.2616985188
     nke(0,0,0,1,0,1,0,1,0,1,0,0,0) =        151 /        577 == 0.2616984402 =/= 0.2616985188
     nke(0,0,1,0,0,1,0,0,0,1,0,1,0) =         81 /        718 == 0.1128133705 =/= 0.1128128833
     nkd(0,0,1,0,0,1,0,1,0,0,1,1,1) =        111 /        587 == 0.1890971039 =/= 0.1890967963
     nke(0,0,0,1,0,0,1,1,0,1,0,0,1) =        -43 /        687 == -0.0625909753 =/= -0.0625914349
     nkd(0,0,1,0,0,1,0,1,0,0,0,0,1) =        145 /        739 == 0.1962110961 =/= 0.1962112399
     nke(0,0,1,0,0,1,0,0,0,0,0,1,0) =         81 /        718 == 0.1128133705 =/= 0.1128128833
     nke(0,0,0,1,0,1,0,1,0,0,1,1,1) =        151 /        577 == 0.2616984402 =/= 0.2616985188
     nke(0,0,0,1,0,1,0,1,0,0,1,1,0) =        151 /        577 == 0.2616984402 =/= 0.2616985188
     nkd(0,0,1,0,0,1,0,0,1,0,1,1,0) =        115 /        459 == 0.2505446623 =/= 0.2505443227
     nkd(0,0,1,0,0,1,0,0,1,0,0,1,0) =        128 /        661 == 0.1936459909 =/= 0.1936464475
     nke(0,0,0,1,0,1,0,1,0,0,0,1,1) =        151 /        577 == 0.2616984402 =/= 0.2616985188
     nke(0,0,0,1,0,1,0,1,0,0,0,1,0) =        151 /        577 == 0.2616984402 =/= 0.2616985188
     nkd(0,0,1,0,0,1,0,0,0,0,0,1,1) =        178 /        663 == 0.2684766214 =/= 0.2684768989
     nkd(0,0,1,0,0,1,0,0,0,0,0,1,0) =        178 /        663 == 0.2684766214 =/= 0.2684768989
     nkd(0,0,0,0,1,0,1,1,1,1,1,0,1) =         61 /        469 == 0.1300639659 =/= 0.1300637043
     nkd(0,0,1,0,0,0,1,1,1,1,1,0,1) =        143 /        652 == 0.2193251534 =/= 0.2193253670
     nke(0,0,0,1,0,1,1,0,1,1,1,0,1) =         23 /        617 == 0.0372771475 =/= 0.0372775953
     nkd(0,0,1,0,0,0,1,1,1,1,0,1,1) =       -124 /        659 == -0.1881638847 =/= -0.1881637848
     nke(0,0,0,1,0,1,0,0,1,1,1,1,1) =        124 /        659 == 0.1881638847 =/= 0.1881637848
     nke(0,0,0,1,0,1,0,0,1,1,1,1,0) =        124 /        659 == 0.1881638847 =/= 0.1881637848
     nke(0,0,0,1,0,1,0,0,1,1,1,0,1) =        124 /        659 == 0.1881638847 =/= 0.1881637848
     nkd(0,0,0,0,1,0,0,1,0,1,1,0,1) =        191 /        661 == 0.2889561271 =/= 0.2889559345
     nke(0,0,0,1,0,1,0,0,1,1,1,0,0) =        124 /        659 == 0.1881638847 =/= 0.1881637848
     nke(0,0,0,1,0,1,0,0,1,1,0,1,1) =        124 /        659 == 0.1881638847 =/= 0.1881637848
     nke(0,0,0,1,0,1,0,0,1,1,0,1,0) =        124 /        659 == 0.1881638847 =/= 0.1881637848
     nke(0,0,0,1,0,1,0,0,1,1,0,0,1) =        124 /        659 == 0.1881638847 =/= 0.1881637848
     nke(0,0,0,1,0,1,0,0,1,1,0,0,0) =        124 /        659 == 0.1881638847 =/= 0.1881637848
     nkd(0,0,1,0,0,0,1,0,1,1,1,1,1) =        101 /        546 == 0.1849816850 =/= 0.1849814690
     nke(0,0,0,1,0,1,0,0,1,0,1,1,1) =        124 /        659 == 0.1881638847 =/= 0.1881637848
     nke(0,0,0,1,0,1,0,0,1,0,1,1,0) =        124 /        659 == 0.1881638847 =/= 0.1881637848
     nke(0,0,1,0,0,0,0,1,0,1,1,0,1) =        -47 /        632 == -0.0743670886 =/= -0.0743669793
     nke(0,0,0,1,0,1,0,0,1,0,0,1,1) =        124 /        659 == 0.1881638847 =/= 0.1881637848
     nke(0,0,0,1,0,1,0,0,1,0,0,1,0) =        124 /        659 == 0.1881638847 =/= 0.1881637848
     nke(0,0,1,0,0,0,0,1,0,1,0,0,1) =        -47 /        632 == -0.0743670886 =/= -0.0743669793
     nkd(0,0,0,0,1,0,1,1,1,1,1,0,0) =         61 /        469 == 0.1300639659 =/= 0.1300637043
     nkd(0,0,0,0,1,0,0,1,0,1,1,0,0) =        191 /        661 == 0.2889561271 =/= 0.2889559345
     nke(0,0,0,1,0,1,1,0,0,0,0,1,1) =         29 /        723 == 0.0401106501 =/= 0.0401103945
           nkc(1,1,1,_,_,_,_,1,_,_) =       -515 /       1389 == -0.3707703384 =/= -0.3707699917
           nkb(1,1,1,_,_,1,1,0,_,_) =        225 /       1103 == 0.2039891206 =/= 0.2039895013
           nkb(1,1,1,1,1,_,_,0,1,_) =       -139 /       1237 == -0.1123686338 =/= -0.1123686675
           nkb(1,1,1,1,1,_,_,0,0,_) =        225 /       1103 == 0.2039891206 =/= 0.2039895013
           nka(1,1,1,1,0,_,_,0,1,1) =       -665 /       1157 == -0.5747623163 =/= -0.5747621309
           nka(1,1,1,1,0,1,1,0,1,0) =       -527 /       1305 == -0.4038314176 =/= -0.4038316253
           nka(1,1,1,1,0,1,0,0,1,0) =       -527 /       1305 == -0.4038314176 =/= -0.4038316253
           nkb(1,1,1,1,0,1,0,0,1,0) =        202 /       1433 == 0.1409630147 =/= 0.1409630831
           nkb(1,1,1,1,0,0,1,0,1,0) =        238 /       1137 == 0.2093227792 =/= 0.2093229929
           nka(1,1,1,1,0,0,0,0,1,0) =       -413 /        991 == -0.4167507568 =/= -0.4167510782
           nkb(1,1,1,1,0,1,0,0,0,1) =        323 /       1331 == 0.2426746807 =/= 0.2426749232
           nka(1,1,1,1,0,0,1,0,0,1) =       -553 /       1158 == -0.4775474957 =/= -0.4775475804
           nkb(1,1,1,1,0,0,0,0,0,1) =        323 /       1012 == 0.3191699605 =/= 0.3191698651
           nkc(1,1,1,1,0,0,0,0,0,1) =       -646 /        941 == -0.6865037194 =/= -0.6865033831
           nka(1,1,1,1,0,1,1,0,0,0) =       -527 /       1305 == -0.4038314176 =/= -0.4038316253
           nka(1,1,1,1,0,1,0,0,0,0) =       -527 /       1305 == -0.4038314176 =/= -0.4038316253
           nkb(1,1,1,1,0,1,0,0,0,0) =        111 /       1061 == 0.1046182846 =/= 0.1046184993
           nkb(1,1,1,1,0,0,1,0,0,0) =        238 /       1137 == 0.2093227792 =/= 0.2093229929
           nka(1,1,1,1,0,0,0,0,0,0) =       -413 /        991 == -0.4167507568 =/= -0.4167510782
           nkb(1,1,1,1,0,0,0,0,0,0) =        323 /       1012 == 0.3191699605 =/= 0.3191698651
           nkb(1,1,1,0,1,_,_,0,1,_) =        136 /       1161 == 0.1171403962 =/= 0.1171406903
           nka(1,1,1,0,1,1,1,0,0,1) =       -469 /       1354 == -0.3463810931 =/= -0.3463813820
           nka(1,1,1,0,1,1,0,0,0,1) =       -319 /       1179 == -0.2705682782 =/= -0.2705687229
           nkb(1,1,1,0,1,1,0,0,0,1) =        225 /       1103 == 0.2039891206 =/= 0.2039895013
           nkb(1,1,1,0,1,0,1,0,0,1) =        225 /       1103 == 0.2039891206 =/= 0.2039895013
           nka(1,1,1,0,1,0,0,0,0,1) =       -446 /       1345 == -0.3315985130 =/= -0.3315986758
           nkc(1,1,1,0,1,0,0,0,0,1) =       -721 /       1278 == -0.5641627543 =/= -0.5641626769
           nkc(1,1,1,0,1,1,1,0,0,0) =       -721 /       1278 == -0.5641627543 =/= -0.5641626769
           nkb(1,1,1,0,1,1,0,0,0,0) =        225 /       1103 == 0.2039891206 =/= 0.2039895013
           nkb(1,1,1,0,1,0,1,0,0,0) =        363 /        970 == 0.3742268041 =/= 0.3742265131
           nkc(1,1,1,0,1,0,1,0,0,0) =       -721 /       1278 == -0.5641627543 =/= -0.5641626769
           nka(1,1,1,0,1,0,0,0,0,0) =       -446 /       1345 == -0.3315985130 =/= -0.3315986758
           nkc(1,1,1,0,1,0,0,0,0,0) =       -721 /       1278 == -0.5641627543 =/= -0.5641626769
           nka(1,1,1,0,0,1,1,0,1,1) =       -598 /        957 == -0.6248693835 =/= -0.6248690961
           nkb(1,1,1,0,0,1,0,0,1,1) =       -383 /        910 == -0.4208791209 =/= -0.4208795948
           nka(1,1,1,0,0,0,1,0,1,1) =       -386 /       1237 == -0.3120452708 =/= -0.3120453976
           nkb(1,1,1,0,0,0,1,0,1,1) =       -154 /       1415 == -0.1088339223 =/= -0.1088341972
           nka(1,1,1,0,0,0,0,0,1,1) =        243 /       1280 == 0.1898437500 =/= 0.1898433110
           nka(1,1,1,0,0,1,1,0,1,0) =       -695 /       1237 == -0.5618431690 =/= -0.5618426780
           nkc(1,1,1,0,0,1,1,0,1,0) =       -338 /       1323 == -0.2554799698 =/= -0.2554801567
           nkb(1,1,1,0,0,1,0,0,1,0) =       -383 /        910 == -0.4208791209 =/= -0.4208795948
           nka(1,1,1,0,0,0,1,0,1,0) =       -386 /       1237 == -0.3120452708 =/= -0.3120453976
           nkb(1,1,1,0,0,0,1,0,1,0) =        -59 /       1288 == -0.0458074534 =/= -0.0458077791
           nkc(1,1,1,0,0,0,1,0,1,0) =       -338 /       1323 == -0.2554799698 =/= -0.2554801567
           nka(1,1,1,0,0,0,0,0,1,0) =        243 /       1280 == 0.1898437500 =/= 0.1898433110
           nkb(1,1,1,0,0,0,0,0,1,0) =       -699 /       1367 == -0.5113386979 =/= -0.5113384508
           nkc(1,1,1,0,0,0,0,0,1,0) =       -354 /       1213 == -0.2918384171 =/= -0.2918381936
           nka(1,1,1,0,0,1,1,0,0,1) =       -696 /       1417 == -0.4911785462 =/= -0.4911785964
           nka(1,1,1,0,0,1,0,0,0,1) =        -29 /        768 == -0.0377604167 =/= -0.0377600601
           nkb(1,1,1,0,0,1,0,0,0,1) =       -167 /       1421 == -0.1175228712 =/= -0.1175223888
           nkb(1,1,1,0,0,0,0,0,0,1) =       -517 /       1494 == -0.3460508701 =/= -0.3460511218
           nkc(1,1,1,0,0,1,1,0,0,0) =       -384 /        853 == -0.4501758499 =/= -0.4501756816
           nka(1,1,1,0,0,1,0,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
           nkb(1,1,1,0,0,1,0,0,0,0) =       -167 /       1421 == -0.1175228712 =/= -0.1175223888
           nkc(1,1,1,0,0,1,0,0,0,0) =       -395 /        808 == -0.4888613861 =/= -0.4888611034
           nkc(1,1,1,0,0,0,1,0,0,0) =       -384 /        853 == -0.4501758499 =/= -0.4501756816
           nka(1,1,1,0,0,0,0,0,0,0) =        201 /       1099 == 0.1828935396 =/= 0.1828934700
           nkb(1,1,1,0,0,0,0,0,0,0) =       -517 /       1494 == -0.3460508701 =/= -0.3460511218
           nkc(1,1,1,0,0,0,0,0,0,0) =       -384 /        853 == -0.4501758499 =/= -0.4501756816
           nka(1,1,0,1,1,_,_,1,_,_) =       -157 /        935 == -0.1679144385 =/= -0.1679145069
           nkc(1,1,0,1,1,_,_,1,0,1) =       -267 /       1159 == -0.2303710095 =/= -0.2303712790
           nkc(1,1,0,1,1,1,1,1,0,0) =      -1289 /       1470 == -0.8768707483 =/= -0.8768704414
           nkc(1,1,0,1,1,1,0,1,0,0) =       -937 /       1495 == -0.6267558528 =/= -0.6267560902
           nkc(1,1,0,1,1,0,1,1,0,0) =       -937 /       1495 == -0.6267558528 =/= -0.6267560902
           nkc(1,1,0,1,1,0,0,1,0,0) =       -937 /       1495 == -0.6267558528 =/= -0.6267560902
           nkb(1,1,0,1,0,1,0,1,1,1) =        -95 /        956 == -0.0993723849 =/= -0.0993719252
           nkb(1,1,0,1,0,0,1,1,1,1) =        -95 /        956 == -0.0993723849 =/= -0.0993719252
           nkb(1,1,0,1,0,0,0,1,1,1) =        -95 /        956 == -0.0993723849 =/= -0.0993719252
           nkc(1,1,0,1,0,1,1,1,1,0) =       -247 /       1264 == -0.1954113924 =/= -0.1954113085
           nkb(1,1,0,1,0,0,1,1,1,0) =        147 /       1063 == 0.1382878645 =/= 0.1382876324
           nkc(1,1,0,1,0,0,1,1,1,0) =       -247 /       1264 == -0.1954113924 =/= -0.1954113085
           nkb(1,1,0,1,0,0,0,1,1,0) =        -41 /       1382 == -0.0296671491 =/= -0.0296673657
           nka(1,1,0,1,0,1,0,1,0,1) =       -213 /       1331 == -0.1600300526 =/= -0.1600303354
           nkb(1,1,0,1,0,1,0,1,0,1) =        308 /       1095 == 0.2812785388 =/= 0.2812789670
           nkc(1,1,0,1,0,1,0,1,0,1) =       -941 /       1281 == -0.7345823575 =/= -0.7345819649
           nkb(1,1,0,1,0,0,1,1,0,1) =         20 /        933 == 0.0214362272 =/= 0.0214361835
           nkc(1,1,0,1,0,0,1,1,0,1) =       -267 /       1159 == -0.2303710095 =/= -0.2303712790
           nkb(1,1,0,1,0,0,0,1,0,1) =       -631 /       1328 == -0.4751506024 =/= -0.4751501603
           nka(1,1,0,1,0,1,1,1,0,0) =       -407 /       1140 == -0.3570175439 =/= -0.3570180298
           nkc(1,1,0,1,0,1,1,1,0,0) =       -967 /       1406 == -0.6877667141 =/= -0.6877669186
           nkb(1,1,0,1,0,1,0,1,0,0) =        308 /       1095 == 0.2812785388 =/= 0.2812789670
           nkc(1,1,0,1,0,1,0,1,0,0) =       -948 /       1231 == -0.7701056052 =/= -0.7701055144
           nka(1,1,0,1,0,0,1,1,0,0) =       -184 /       1497 == -0.1229124916 =/= -0.1229128583
           nkc(1,1,0,1,0,0,1,1,0,0) =       -967 /       1406 == -0.6877667141 =/= -0.6877669186
           nkb(1,1,0,1,0,0,0,1,0,0) =       -612 /       1489 == -0.4110141034 =/= -0.4110139939
           nka(1,1,0,0,1,1,1,1,1,0) =      -1221 /       1333 == -0.9159789947 =/= -0.9159793719
           nka(1,1,0,0,1,0,1,1,1,0) =       -873 /       1186 == -0.7360876897 =/= -0.7360879199
           nkc(1,1,0,0,1,0,0,1,1,0) =       -415 /       1141 == -0.3637160386 =/= -0.3637158232
           nka(1,1,0,0,1,1,1,1,0,1) =       -408 /       1181 == -0.3454699407 =/= -0.3454697371
           nkc(1,1,0,0,1,1,1,1,0,1) =      -1021 /       1460 == -0.6993150685 =/= -0.6993152112
           nka(1,1,0,0,1,1,0,1,0,1) =       -720 /       1229 == -0.5858421481 =/= -0.5858423350
           nka(1,1,0,0,1,0,1,1,0,1) =       -720 /       1229 == -0.5858421481 =/= -0.5858423350
           nka(1,1,0,0,1,1,1,1,0,0) =       -232 /        751 == -0.3089214381 =/= -0.3089215104
           nkc(1,1,0,0,1,1,1,1,0,0) =       -950 /       1291 == -0.7358636716 =/= -0.7358634379
           nka(1,1,0,0,1,1,0,1,0,0) =       -232 /        751 == -0.3089214381 =/= -0.3089215104
           nka(1,1,0,0,1,0,0,1,0,0) =       -470 /       1107 == -0.4245709124 =/= -0.4245707540
           nkb(1,1,0,0,0,1,0,1,1,1) =        564 /       1283 == 0.4395946999 =/= 0.4395948245
           nkb(1,1,0,0,0,0,1,1,1,1) =         49 /       1072 == 0.0457089552 =/= 0.0457084636
           nka(1,1,0,0,0,0,0,1,1,1) =       -437 /       1234 == -0.3541329011 =/= -0.3541331329
           nkb(1,1,0,0,0,0,0,1,1,1) =        165 /       1213 == 0.1360263809 =/= 0.1360265896
           nka(1,1,0,0,0,1,1,1,1,0) =      -1221 /       1333 == -0.9159789947 =/= -0.9159793719
           nka(1,1,0,0,0,1,0,1,1,0) =       -563 /       1009 == -0.5579781962 =/= -0.5579784751
           nkb(1,1,0,0,0,1,0,1,1,0) =        564 /       1283 == 0.4395946999 =/= 0.4395948245
           nkb(1,1,0,0,0,0,1,1,1,0) =        145 /        902 == 0.1607538803 =/= 0.1607535051
           nka(1,1,0,0,0,0,0,1,1,0) =       -464 /       1019 == -0.4553483808 =/= -0.4553486593
           nkb(1,1,0,0,0,0,0,1,1,0) =        280 /       1361 == 0.2057310801 =/= 0.2057311492
           nkc(1,1,0,0,0,0,0,1,1,0) =       -415 /       1141 == -0.3637160386 =/= -0.3637158232
           nka(1,1,0,0,0,1,0,1,0,1) =       -846 /       1301 == -0.6502690238 =/= -0.6502689300
           nka(1,1,0,0,0,0,0,1,0,1) =       -661 /       1207 == -0.5476387738 =/= -0.5476391142
           nkb(1,1,0,0,0,0,0,1,0,1) =       -157 /        894 == -0.1756152125 =/= -0.1756154790
           nkc(1,1,0,0,0,0,0,1,0,1) =        154 /       1401 == 0.1099214847 =/= 0.1099212598
           nkc(1,1,0,0,0,1,1,1,0,0) =       -564 /       1339 == -0.4212098581 =/= -0.4212095913
           nkb(1,1,0,0,0,0,0,1,0,0) =       -231 /       1366 == -0.1691068814 =/= -0.1691065564
           nkc(1,1,0,0,0,0,0,1,0,0) =        173 /       1115 == 0.1551569507 =/= 0.1551572825
           nka(1,1,0,1,1,_,_,0,1,1) =       -227 /       1174 == -0.1933560477 =/= -0.1933564146
           nkb(1,1,0,1,1,_,_,0,1,_) =       -125 /       1384 == -0.0903179191 =/= -0.0903181261
           nkc(1,1,0,1,1,1,1,0,1,0) =       -465 /       1066 == -0.4362101313 =/= -0.4362096572
           nkc(1,1,0,1,1,0,1,0,1,0) =       -465 /       1066 == -0.4362101313 =/= -0.4362096572
           nka(1,1,0,1,1,1,1,0,0,1) =       -157 /        935 == -0.1679144385 =/= -0.1679145069
           nka(1,1,0,1,1,1,0,0,0,1) =       -157 /        935 == -0.1679144385 =/= -0.1679145069
           nkc(1,1,0,1,1,0,1,0,0,1) =       -900 /       1243 == -0.7240547064 =/= -0.7240545246
           nkc(1,1,0,1,1,0,0,0,0,1) =       -879 /       1349 == -0.6515937732 =/= -0.6515935320
           nkb(1,1,0,1,1,1,0,0,0,0) =        122 /       1325 == 0.0920754717 =/= 0.0920752054
           nkc(1,1,0,1,1,0,1,0,0,0) =      -1108 /       1259 == -0.8800635425 =/= -0.8800634406
           nkb(1,1,0,1,1,0,0,0,0,0) =         81 /       1447 == 0.0559778853 =/= 0.0559776573
           nkb(1,1,0,1,0,1,1,0,1,1) =        238 /       1137 == 0.2093227792 =/= 0.2093229929
           nkc(1,1,0,1,0,1,1,0,1,1) =       -727 /       1281 == -0.5675253708 =/= -0.5675255543
           nkb(1,1,0,1,0,1,0,0,1,1) =        131 /       1239 == 0.1057304278 =/= 0.1057306216
           nkb(1,1,0,1,0,1,1,0,1,0) =        238 /       1137 == 0.2093227792 =/= 0.2093229929
           nkc(1,1,0,1,0,1,1,0,1,0) =       -529 /        791 == -0.6687737042 =/= -0.6687737902
           nka(1,1,0,1,0,1,0,0,1,0) =       -151 /       1203 == -0.1255195345 =/= -0.1255191970
           nkb(1,1,0,1,0,1,0,0,1,0) =        131 /       1239 == 0.1057304278 =/= 0.1057306216
           nkb(1,1,0,1,0,1,1,0,0,1) =        436 /       1481 == 0.2943956786 =/= 0.2943957319
           nka(1,1,0,1,0,1,0,0,0,1) =        144 /       1445 == 0.0996539792 =/= 0.0996543083
           nkc(1,1,0,1,0,1,1,0,0,0) =       -748 /       1109 == -0.6744815149 =/= -0.6744814624
           nkb(1,1,0,1,0,1,0,0,0,0) =        195 /       1226 == 0.1590538336 =/= 0.1590539311
           nka(1,1,0,0,1,1,1,0,1,1) =       -408 /       1181 == -0.3454699407 =/= -0.3454697371
           nkb(1,1,0,0,1,1,1,0,1,1) =        225 /       1103 == 0.2039891206 =/= 0.2039895013
           nkc(1,1,0,0,1,1,1,0,1,1) =       -461 /        977 == -0.4718526100 =/= -0.4718530975
           nka(1,1,0,0,1,1,0,0,1,1) =       -361 /       1024 == -0.3525390625 =/= -0.3525392052
           nkb(1,1,0,0,1,1,0,0,1,1) =        136 /       1161 == 0.1171403962 =/= 0.1171406903
           nkc(1,1,0,0,1,0,1,0,1,1) =       -461 /        977 == -0.4718526100 =/= -0.4718530975
           nka(1,1,0,0,1,1,1,0,1,0) =       -639 /       1322 == -0.4833585477 =/= -0.4833589206
           nkb(1,1,0,0,1,1,1,0,1,0) =        225 /       1103 == 0.2039891206 =/= 0.2039895013
           nkc(1,1,0,0,1,1,1,0,1,0) =       -353 /       1057 == -0.3339640492 =/= -0.3339639141
           nka(1,1,0,0,1,1,0,0,1,0) =       -455 /       1349 == -0.3372868792 =/= -0.3372866959
           nkb(1,1,0,0,1,1,0,0,1,0) =        136 /       1161 == 0.1171403962 =/= 0.1171406903
           nkb(1,1,0,0,1,0,1,0,1,0) =        -64 /        957 == -0.0668756531 =/= -0.0668759810
           nkc(1,1,0,0,1,0,1,0,1,0) =       -353 /       1057 == -0.3339640492 =/= -0.3339639141
           nka(1,1,0,0,1,1,1,0,0,1) =       -408 /       1181 == -0.3454699407 =/= -0.3454697371
           nka(1,1,0,0,1,1,0,0,0,1) =       -408 /       1181 == -0.3454699407 =/= -0.3454697371
           nka(1,1,0,0,1,1,1,0,0,0) =       -602 /       1221 == -0.4930384930 =/= -0.4930388161
           nkb(1,1,0,0,1,1,0,0,0,0) =        131 /        845 == 0.1550295858 =/= 0.1550293462
           nka(1,1,0,0,1,0,0,0,0,0) =       -183 /       1417 == -0.1291460833 =/= -0.1291457286
           nkc(1,1,0,0,1,0,0,0,0,0) =       -848 /       1345 == -0.6304832714 =/= -0.6304833881
           nka(1,1,0,0,0,1,1,0,1,1) =       -737 /       1115 == -0.6609865471 =/= -0.6609862963
           nkb(1,1,0,0,0,1,1,0,1,1) =        313 /       1443 == 0.2169092169 =/= 0.2169089542
           nkc(1,1,0,0,0,1,1,0,1,1) =       -207 /       1223 == -0.1692559280 =/= -0.1692559912
           nka(1,1,0,0,0,1,0,0,1,1) =          6 /       1417 == 0.0042342978 =/= 0.0042346905
           nkb(1,1,0,0,0,1,0,0,1,1) =       -330 /        833 == -0.3961584634 =/= -0.3961580870
           nka(1,1,0,0,0,1,1,0,1,0) =       -767 /       1153 == -0.6652211622 =/= -0.6652209868
           nkb(1,1,0,0,0,1,1,0,1,0) =        313 /       1443 == 0.2169092169 =/= 0.2169089542
           nkb(1,1,0,0,0,1,0,0,1,0) =       -330 /        833 == -0.3961584634 =/= -0.3961580870
           nkc(1,1,0,0,0,1,0,0,1,0) =       -306 /       1409 == -0.2171753016 =/= -0.2171752463
           nkc(1,1,0,0,0,1,1,0,0,1) =       -519 /       1265 == -0.4102766798 =/= -0.4102764479
           nka(1,1,0,0,0,1,1,0,0,0) =       -603 /       1264 == -0.4770569620 =/= -0.4770572020
           nkb(1,1,0,0,0,1,1,0,0,0) =        333 /       1142 == 0.2915936953 =/= 0.2915935320
           nkb(1,1,0,0,0,1,0,0,0,0) =       -433 /       1263 == -0.3428345210 =/= -0.3428347776
           nkc(1,1,0,0,0,1,0,0,0,0) =       -638 /       1391 == -0.4586628325 =/= -0.4586623406
           nka(1,0,1,1,1,_,_,1,_,_) =        191 /       1391 == 0.1373112868 =/= 0.1373110962
           nkb(1,0,1,_,_,1,1,1,_,_) =       -299 /        932 == -0.3208154506 =/= -0.3208156267
           nkc(1,0,1,_,_,_,_,1,1,1) =        -89 /       1394 == -0.0638450502 =/= -0.0638448146
           nka(1,0,1,1,0,1,0,1,1,0) =        233 /       1189 == 0.1959629941 =/= 0.1959634129
           nkb(1,0,1,1,0,1,0,1,1,0) =       -697 /       1255 == -0.5553784861 =/= -0.5553782034
           nkc(1,0,1,1,0,0,1,1,1,0) =       -321 /       1399 == -0.2294496069 =/= -0.2294494784
           nkb(1,0,1,1,0,0,0,1,1,0) =       -233 /       1458 == -0.1598079561 =/= -0.1598075680
           nka(1,0,1,1,0,1,1,1,0,1) =       -205 /       1397 == -0.1467430208 =/= -0.1467427690
           nkc(1,0,1,1,0,1,1,1,0,1) =       -207 /       1420 == -0.1457746479 =/= -0.1457749377
           nkb(1,0,1,1,0,0,1,1,0,1) =       -424 /        967 == -0.4384694933 =/= -0.4384692491
           nkc(1,0,1,1,0,0,1,1,0,1) =       -207 /       1420 == -0.1457746479 =/= -0.1457749377
           nkc(1,0,1,1,0,1,1,1,0,0) =        -25 /       1237 == -0.0202101859 =/= -0.0202105013
           nka(1,0,1,1,0,1,0,1,0,0) =        233 /       1189 == 0.1959629941 =/= 0.1959634129
           nkb(1,0,1,1,0,1,0,1,0,0) =       -425 /       1259 == -0.3375694996 =/= -0.3375690790
           nkc(1,0,1,1,0,1,0,1,0,0) =       -609 /       1291 == -0.4717273431 =/= -0.4717276672
           nkc(1,0,1,1,0,0,1,1,0,0) =       -103 /        978 == -0.1053169734 =/= -0.1053174007
           nkb(1,0,1,1,0,0,0,1,0,0) =       -234 /       1315 == -0.1779467681 =/= -0.1779465569
           nkc(1,0,1,1,0,0,0,1,0,0) =       -324 /        787 == -0.4116899619 =/= -0.4116898139
           nka(1,0,1,0,1,_,_,1,1,1) =       -193 /        844 == -0.2286729858 =/= -0.2286728920
           nka(1,0,1,0,1,1,1,1,1,0) =       -193 /        844 == -0.2286729858 =/= -0.2286728920
           nkc(1,0,1,0,1,1,1,1,1,0) =        -89 /       1394 == -0.0638450502 =/= -0.0638448146
           nka(1,0,1,0,1,1,0,1,1,0) =       -179 /        817 == -0.2190942472 =/= -0.2190940266
           nka(1,0,1,0,1,0,1,1,1,0) =       -471 /       1474 == -0.3195386703 =/= -0.3195391656
           nkc(1,0,1,0,1,0,1,1,1,0) =        -89 /       1394 == -0.0638450502 =/= -0.0638448146
           nka(1,0,1,0,1,1,0,1,0,1) =       -258 /       1399 == -0.1844174410 =/= -0.1844174943
           nkc(1,0,1,0,1,1,0,1,0,1) =       -621 /       1478 == -0.4201623816 =/= -0.4201623604
           nka(1,0,1,0,1,0,1,1,0,1) =         37 /        812 == 0.0455665025 =/= 0.0455662829
           nkb(1,0,1,0,1,0,0,1,0,1) =       -331 /        929 == -0.3562970936 =/= -0.3562967066
           nkc(1,0,1,0,1,1,0,1,0,0) =       -427 /        852 == -0.5011737089 =/= -0.5011738482
           nkc(1,0,1,0,1,0,1,1,0,0) =        -89 /       1394 == -0.0638450502 =/= -0.0638448146
           nkc(1,0,1,0,1,0,0,1,0,0) =       -427 /        852 == -0.5011737089 =/= -0.5011738482
           nka(1,0,1,0,0,1,1,1,1,1) =       -193 /        844 == -0.2286729858 =/= -0.2286728920
           nka(1,0,1,0,0,0,1,1,1,1) =        -22 /        757 == -0.0290620872 =/= -0.0290623722
           nka(1,0,1,0,0,0,0,1,1,1) =        -22 /        757 == -0.0290620872 =/= -0.0290623722
           nka(1,0,1,0,0,1,1,1,1,0) =       -193 /        844 == -0.2286729858 =/= -0.2286728920
           nkc(1,0,1,0,0,1,1,1,1,0) =        -89 /       1394 == -0.0638450502 =/= -0.0638448146
           nkb(1,0,1,0,0,1,0,1,1,0) =       -300 /        863 == -0.3476245655 =/= -0.3476242103
           nka(1,0,1,0,0,0,1,1,1,0) =        -22 /        757 == -0.0290620872 =/= -0.0290623722
           nkc(1,0,1,0,0,0,1,1,1,0) =        -89 /       1394 == -0.0638450502 =/= -0.0638448146
           nka(1,0,1,0,0,0,0,1,1,0) =        -22 /        757 == -0.0290620872 =/= -0.0290623722
           nka(1,0,1,0,0,1,1,1,0,1) =       -193 /        844 == -0.2286729858 =/= -0.2286728920
           nkc(1,0,1,0,0,1,1,1,0,1) =        -89 /       1394 == -0.0638450502 =/= -0.0638448146
           nka(1,0,1,0,0,1,0,1,0,1) =          2 /        791 == 0.0025284450 =/= 0.0025287857
           nkc(1,0,1,0,0,0,1,1,0,1) =        -89 /       1394 == -0.0638450502 =/= -0.0638448146
           nka(1,0,1,0,0,0,0,1,0,1) =        -22 /        757 == -0.0290620872 =/= -0.0290623722
           nkc(1,0,1,0,0,0,0,1,0,1) =       -433 /       1016 == -0.4261811024 =/= -0.4261810364
           nka(1,0,1,0,0,1,1,1,0,0) =       -193 /        844 == -0.2286729858 =/= -0.2286728920
           nkc(1,0,1,0,0,1,1,1,0,0) =        -89 /       1394 == -0.0638450502 =/= -0.0638448146
           nka(1,0,1,0,0,1,0,1,0,0) =          2 /        791 == 0.0025284450 =/= 0.0025287857
           nka(1,0,1,0,0,0,1,1,0,0) =        -22 /        757 == -0.0290620872 =/= -0.0290623722
           nka(1,0,1,0,0,0,0,1,0,0) =        -22 /        757 == -0.0290620872 =/= -0.0290623722
           nkc(1,0,1,0,0,0,0,1,0,0) =       -372 /        817 == -0.4553243574 =/= -0.4553241272
           nka(1,0,1,1,1,0,0,0,1,0) =        311 /       1004 == 0.3097609562 =/= 0.3097611417
           nka(1,0,1,1,1,1,1,0,0,1) =        191 /       1391 == 0.1373112868 =/= 0.1373110962
           nka(1,0,1,1,1,1,0,0,0,1) =        191 /       1391 == 0.1373112868 =/= 0.1373110962
           nkb(1,0,1,1,1,1,0,0,0,1) =       -464 /       1317 == -0.3523158694 =/= -0.3523157784
           nkb(1,0,1,1,1,0,1,0,0,1) =       -299 /       1477 == -0.2024373731 =/= -0.2024373838
           nkc(1,0,1,1,1,0,1,0,0,1) =       -433 /       1196 == -0.3620401338 =/= -0.3620402538
           nka(1,0,1,1,1,1,1,0,0,0) =        196 /        937 == 0.2091782284 =/= 0.2091780424
           nkb(1,0,1,1,1,1,1,0,0,0) =       -185 /        871 == -0.2123995408 =/= -0.2123999261
           nkc(1,0,1,1,1,1,1,0,0,0) =       -712 /       1167 == -0.6101113967 =/= -0.6101114496
           nka(1,0,1,1,1,1,0,0,0,0) =        196 /        937 == 0.2091782284 =/= 0.2091780424
           nkc(1,0,1,1,1,1,0,0,0,0) =       -521 /       1345 == -0.3873605948 =/= -0.3873604242
           nka(1,0,1,1,1,0,1,0,0,0) =        196 /        937 == 0.2091782284 =/= 0.2091780424
           nkb(1,0,1,1,1,0,1,0,0,0) =       -155 /       1412 == -0.1097733711 =/= -0.1097738034
           nka(1,0,1,1,1,0,0,0,0,0) =        295 /        908 == 0.3248898678 =/= 0.3248900671
           nkc(1,0,1,1,1,0,0,0,0,0) =       -313 /       1202 == -0.2603993344 =/= -0.2603992403
           nkb(1,0,1,1,0,1,1,0,1,1) =       -691 /       1234 == -0.5599675851 =/= -0.5599676862
           nkb(1,0,1,1,0,1,0,0,1,1) =       -760 /       1429 == -0.5318404479 =/= -0.5318403039
           nkb(1,0,1,1,0,0,1,0,1,1) =       -419 /       1188 == -0.3526936027 =/= -0.3526935201
           nka(1,0,1,1,0,1,0,0,1,0) =         93 /       1226 == 0.0758564437 =/= 0.0758565795
           nkb(1,0,1,1,0,1,0,0,1,0) =      -1134 /       1375 == -0.8247272727 =/= -0.8247271792
           nka(1,0,1,1,0,0,1,0,1,0) =       -177 /        862 == -0.2053364269 =/= -0.2053361295
           nkb(1,0,1,1,0,0,0,0,1,0) =       -392 /        869 == -0.4510932106 =/= -0.4510933935
           nkc(1,0,1,1,0,0,0,0,1,0) =       -129 /        958 == -0.1346555324 =/= -0.1346558251
           nka(1,0,1,1,0,1,1,0,0,1) =        382 /       1121 == 0.3407671722 =/= 0.3407676176
           nkb(1,0,1,1,0,1,1,0,0,1) =       -677 /       1011 == -0.6696340257 =/= -0.6696341286
           nka(1,0,1,1,0,1,0,0,0,1) =        226 /       1061 == 0.2130065975 =/= 0.2130066342
           nkb(1,0,1,1,0,1,0,0,0,1) =       -437 /       1021 == -0.4280117532 =/= -0.4280113164
           nkc(1,0,1,1,0,0,1,0,0,1) =       -433 /       1196 == -0.3620401338 =/= -0.3620402538
           nkc(1,0,1,1,0,1,1,0,0,0) =       -413 /       1474 == -0.2801899593 =/= -0.2801901898
           nka(1,0,1,1,0,1,0,0,0,0) =         87 /       1091 == 0.0797433547 =/= 0.0797437318
           nkb(1,0,1,1,0,1,0,0,0,0) =       -407 /       1074 == -0.3789571695 =/= -0.3789568578
           nka(1,0,1,0,1,1,1,0,1,1) =         80 /        949 == 0.0842992624 =/= 0.0842993181
           nkc(1,0,1,0,1,1,1,0,1,1) =        -65 /        999 == -0.0650650651 =/= -0.0650650892
           nkb(1,0,1,0,1,1,0,0,1,1) =       -782 /       1427 == -0.5480028031 =/= -0.5480024796
           nka(1,0,1,0,1,0,1,0,1,1) =         51 /       1331 == 0.0383170548 =/= 0.0383167808
           nkb(1,0,1,0,1,0,1,0,1,1) =       -481 /        820 == -0.5865853659 =/= -0.5865850249
           nkc(1,0,1,0,1,0,1,0,1,1) =        -65 /        999 == -0.0650650651 =/= -0.0650650892
           nkb(1,0,1,0,1,0,0,0,1,1) =       -404 /       1303 == -0.3100537222 =/= -0.3100539443
           nkc(1,0,1,0,1,0,0,0,1,1) =       -567 /       1324 == -0.4282477341 =/= -0.4282474050
           nka(1,0,1,0,1,1,0,0,1,0) =        115 /       1433 == 0.0802512212 =/= 0.0802507287
           nka(1,0,1,0,1,0,1,0,1,0) =         -1 /        788 == -0.0012690355 =/= -0.0012690750
           nka(1,0,1,0,1,0,0,0,1,0) =         -1 /        788 == -0.0012690355 =/= -0.0012690750
           nka(1,0,1,0,1,1,1,0,0,1) =         73 /       1102 == 0.0662431942 =/= 0.0662428943
           nkb(1,0,1,0,1,1,1,0,0,1) =       -778 /       1489 == -0.5224983210 =/= -0.5224980546
           nkc(1,0,1,0,1,1,0,0,0,1) =       -317 /       1170 == -0.2709401709 =/= -0.2709400018
           nkb(1,0,1,0,1,0,1,0,0,1) =       -460 /       1339 == -0.3435399552 =/= -0.3435397460
           nka(1,0,1,0,1,0,0,0,0,1) =         99 /        926 == 0.1069114471 =/= 0.1069115921
           nkb(1,0,1,0,1,0,0,0,0,1) =       -578 /       1471 == -0.3929299796 =/= -0.3929297406
           nkc(1,0,1,0,1,0,0,0,0,1) =       -417 /       1274 == -0.3273155416 =/= -0.3273151848
           nkb(1,0,1,0,1,1,1,0,0,0) =       -506 /       1033 == -0.4898354308 =/= -0.4898355294
           nka(1,0,1,0,1,1,0,0,0,0) =        556 /       1437 == 0.3869171886 =/= 0.3869173954
           nkb(1,0,1,0,1,0,1,0,0,0) =       -358 /       1427 == -0.2508759636 =/= -0.2508761656
           nkc(1,0,1,0,1,0,1,0,0,0) =       -937 /       1403 == -0.6678545973 =/= -0.6678547594
           nka(1,0,1,0,1,0,0,0,0,0) =        243 /        802 == 0.3029925187 =/= 0.3029921260
           nka(1,0,1,0,0,1,1,0,1,1) =          2 /        791 == 0.0025284450 =/= 0.0025287857
           nkb(1,0,1,0,0,1,1,0,1,1) =       -553 /       1004 == -0.5507968127 =/= -0.5507970298
           nkc(1,0,1,0,0,1,1,0,1,1) =        -65 /        999 == -0.0650650651 =/= -0.0650650892
           nka(1,0,1,0,0,1,0,0,1,1) =          2 /        791 == 0.0025284450 =/= 0.0025287857
           nkb(1,0,1,0,0,0,1,0,1,1) =       -607 /       1159 == -0.5237273512 =/= -0.5237275617
           nkc(1,0,1,0,0,0,1,0,1,1) =        -65 /        999 == -0.0650650651 =/= -0.0650650892
           nka(1,0,1,0,0,0,0,0,1,1) =        -67 /       1147 == -0.0584132520 =/= -0.0584135903
           nkc(1,0,1,0,0,0,0,0,1,1) =        -65 /        999 == -0.0650650651 =/= -0.0650650892
           nka(1,0,1,0,0,1,1,0,1,0) =          2 /        791 == 0.0025284450 =/= 0.0025287857
           nka(1,0,1,0,0,1,0,0,1,0) =          2 /        791 == 0.0025284450 =/= 0.0025287857
           nkb(1,0,1,0,0,0,0,0,1,0) =       -555 /       1352 == -0.4105029586 =/= -0.4105025126
           nka(1,0,1,0,0,1,1,0,0,1) =          2 /        791 == 0.0025284450 =/= 0.0025287857
           nkc(1,0,1,0,0,1,1,0,0,1) =       -151 /        775 == -0.1948387097 =/= -0.1948382332
           nka(1,0,1,0,0,1,0,0,0,1) =          2 /        791 == 0.0025284450 =/= 0.0025287857
           nkc(1,0,1,0,0,1,0,0,0,1) =       -330 /       1069 == -0.3086997194 =/= -0.3087000620
           nkc(1,0,1,0,0,0,1,0,0,1) =       -392 /       1439 == -0.2724113968 =/= -0.2724116646
           nkb(1,0,1,0,0,0,1,0,0,0) =       -266 /       1189 == -0.2237174096 =/= -0.2237174059
           nkc(1,0,1,0,0,0,1,0,0,0) =       -783 /       1496 == -0.5233957219 =/= -0.5233957188
           nka(1,0,0,1,1,_,_,1,1,1) =        -35 /       1472 == -0.0237771739 =/= -0.0237771535
           nkc(1,0,0,1,1,_,_,1,1,1) =        -43 /        775 == -0.0554838710 =/= -0.0554838497
           nkc(1,0,0,1,1,1,1,1,1,0) =       -272 /       1305 == -0.2084291188 =/= -0.2084291536
           nka(1,0,0,1,1,1,0,1,1,0) =        -35 /       1472 == -0.0237771739 =/= -0.0237771535
           nkc(1,0,0,1,1,1,0,1,1,0) =        -43 /        775 == -0.0554838710 =/= -0.0554838497
           nkc(1,0,0,1,1,0,1,1,1,0) =       -272 /       1305 == -0.2084291188 =/= -0.2084291536
           nkc(1,0,0,1,1,0,0,1,1,0) =        -84 /       1355 == -0.0619926199 =/= -0.0619927723
           nkc(1,0,0,1,1,1,1,1,0,1) =       -470 /       1351 == -0.3478904515 =/= -0.3478908981
           nkb(1,0,0,1,1,0,1,1,0,1) =        103 /       1274 == 0.0808477237 =/= 0.0808479405
           nka(1,0,0,1,1,0,1,1,0,0) =        -59 /       1227 == -0.0480847596 =/= -0.0480849128
           nka(1,0,0,1,0,1,1,1,1,1) =       -199 /       1266 == -0.1571879937 =/= -0.1571881718
           nkc(1,0,0,1,0,1,1,1,1,1) =        -11 /       1388 == -0.0079250720 =/= -0.0079254540
           nka(1,0,0,1,0,1,0,1,1,1) =        -29 /        938 == -0.0309168443 =/= -0.0309166568
           nkc(1,0,0,1,0,1,0,1,1,1) =        -43 /        775 == -0.0554838710 =/= -0.0554838497
           nka(1,0,0,1,0,0,1,1,1,1) =       -303 /       1297 == -0.2336160370 =/= -0.2336165077
           nkc(1,0,0,1,0,0,1,1,1,1) =        -11 /       1388 == -0.0079250720 =/= -0.0079254540
           nka(1,0,0,1,0,0,0,1,1,1) =         49 /        844 == 0.0580568720 =/= 0.0580564239
           nkc(1,0,0,1,0,0,0,1,1,1) =        -43 /        775 == -0.0554838710 =/= -0.0554838497
           nkc(1,0,0,1,0,1,1,1,1,0) =       -247 /       1264 == -0.1954113924 =/= -0.1954113085
           nkc(1,0,0,1,0,1,0,1,1,0) =        -43 /        775 == -0.0554838710 =/= -0.0554838497
           nkc(1,0,0,1,0,0,1,1,1,0) =       -247 /       1264 == -0.1954113924 =/= -0.1954113085
           nkc(1,0,0,1,0,0,0,1,1,0) =        -43 /        775 == -0.0554838710 =/= -0.0554838497
           nkb(1,0,0,1,0,1,1,1,0,1) =        257 /       1155 == 0.2225108225 =/= 0.2225105844
           nkc(1,0,0,1,0,1,1,1,0,1) =       -470 /       1351 == -0.3478904515 =/= -0.3478908981
           nka(1,0,0,1,0,0,1,1,0,1) =         49 /        844 == 0.0580568720 =/= 0.0580564239
           nka(1,0,0,1,0,1,1,1,0,0) =       -235 /       1324 == -0.1774924471 =/= -0.1774925810
           nkb(1,0,0,1,0,1,1,1,0,0) =        257 /       1155 == 0.2225108225 =/= 0.2225105844
           nkc(1,0,0,1,0,1,1,1,0,0) =       -607 /        922 == -0.6583514100 =/= -0.6583513367
           nka(1,0,0,0,1,1,1,1,1,1) =        -34 /       1407 == -0.0241648898 =/= -0.0241647872
           nkb(1,0,0,0,1,1,1,1,1,1) =       -299 /        932 == -0.3208154506 =/= -0.3208156267
           nkb(1,0,0,0,1,1,0,1,1,1) =       -290 /       1011 == -0.2868447082 =/= -0.2868447223
           nkb(1,0,0,0,1,0,1,1,1,1) =       -337 /       1076 == -0.3131970260 =/= -0.3131969559
           nkb(1,0,0,0,1,0,0,1,1,1) =       -537 /       1246 == -0.4309791332 =/= -0.4309791741
           nkb(1,0,0,0,1,1,1,1,1,0) =       -299 /        932 == -0.3208154506 =/= -0.3208156267
           nka(1,0,0,0,1,1,0,1,1,0) =       -369 /        803 == -0.4595267746 =/= -0.4595270315
           nkc(1,0,0,0,1,1,0,1,1,0) =         11 /        989 == 0.0111223458 =/= 0.0111218824
           nka(1,0,0,0,1,0,1,1,1,0) =       -134 /        813 == -0.1648216482 =/= -0.1648218784
           nkb(1,0,0,0,1,0,1,1,1,0) =       -337 /       1076 == -0.3131970260 =/= -0.3131969559
           nkb(1,0,0,0,1,0,0,1,1,0) =       -719 /       1327 == -0.5418236624 =/= -0.5418239491
           nkc(1,0,0,0,1,0,0,1,1,0) =         11 /        989 == 0.0111223458 =/= 0.0111218824
           nka(1,0,0,0,1,1,1,1,0,1) =       -146 /       1229 == -0.1187957689 =/= -0.1187954207
           nkb(1,0,0,0,1,1,1,1,0,1) =       -341 /       1003 == -0.3399800598 =/= -0.3399803479
           nkc(1,0,0,0,1,1,1,1,0,1) =       -117 /        757 == -0.1545574637 =/= -0.1545575647
           nkb(1,0,0,0,1,0,1,1,0,1) =       -201 /       1036 == -0.1940154440 =/= -0.1940157480
           nkc(1,0,0,0,1,1,1,1,0,0) =       -893 /       1500 == -0.5953333333 =/= -0.5953329640
           nkc(1,0,0,0,1,0,1,1,0,0) =       -745 /       1193 == -0.6244761106 =/= -0.6244760548
           nka(1,0,0,0,0,1,1,1,1,1) =       -436 /       1321 == -0.3300529902 =/= -0.3300526253
           nkc(1,0,0,0,0,1,1,1,1,1) =       -157 /        806 == -0.1947890819 =/= -0.1947894327
           nka(1,0,0,0,0,0,1,1,1,1) =       -717 /       1381 == -0.5191889935 =/= -0.5191888577
           nkb(1,0,0,0,0,0,1,1,1,1) =       -122 /       1415 == -0.0862190813 =/= -0.0862190216
           nkc(1,0,0,0,0,0,1,1,1,1) =        -11 /       1388 == -0.0079250720 =/= -0.0079254540
           nka(1,0,0,0,0,0,0,1,1,1) =       -423 /        968 == -0.4369834711 =/= -0.4369832100
           nkb(1,0,0,0,0,0,0,1,1,1) =       -258 /       1463 == -0.1763499658 =/= -0.1763501233
           nkb(1,0,0,0,0,1,1,1,1,0) =       -125 /        819 == -0.1526251526 =/= -0.1526250676
           nka(1,0,0,0,0,1,0,1,1,0) =       -443 /       1353 == -0.3274205469 =/= -0.3274208312
           nkc(1,0,0,0,0,1,0,1,1,0) =         11 /        989 == 0.0111223458 =/= 0.0111218824
           nkb(1,0,0,0,0,0,1,1,1,0) =       -122 /       1415 == -0.0862190813 =/= -0.0862190216
           nkb(1,0,0,0,0,0,0,1,1,0) =       -388 /       1351 == -0.2871946706 =/= -0.2871948984
           nkc(1,0,0,0,0,0,0,1,1,0) =         11 /        989 == 0.0111223458 =/= 0.0111218824
           nka(1,0,0,0,0,0,1,1,0,1) =       -547 /       1441 == -0.3795975017 =/= -0.3795971986
           nkb(1,0,0,0,0,0,1,1,0,1) =         27 /        916 == 0.0294759825 =/= 0.0294761208
           nkc(1,0,0,0,0,0,1,1,0,1) =       -254 /        965 == -0.2632124352 =/= -0.2632122555
           nka(1,0,0,0,0,1,1,1,0,0) =       -436 /       1321 == -0.3300529902 =/= -0.3300526253
           nkc(1,0,0,0,0,1,1,1,0,0) =       -694 /       1373 == -0.5054624909 =/= -0.5054624830
           nkb(1,0,0,0,0,0,1,1,0,0) =        175 /        771 == 0.2269779507 =/= 0.2269779343
           nkb(1,0,0,1,1,1,1,0,1,1) =       -497 /       1123 == -0.4425645592 =/= -0.4425647925
           nka(1,0,0,1,1,1,0,0,1,1) =        165 /        953 == 0.1731374607 =/= 0.1731376040
           nka(1,0,0,1,1,0,1,0,1,1) =        381 /       1481 == 0.2572586090 =/= 0.2572584708
           nka(1,0,0,1,1,0,0,0,1,1) =        489 /       1487 == 0.3288500336 =/= 0.3288496287
           nkb(1,0,0,1,1,1,1,0,1,0) =       -497 /       1123 == -0.4425645592 =/= -0.4425647925
           nka(1,0,0,1,1,0,1,0,1,0) =        337 /       1243 == 0.2711182623 =/= 0.2711180575
           nkc(1,0,0,1,1,0,1,0,1,0) =       -491 /       1451 == -0.3383873191 =/= -0.3383869479
           nkb(1,0,0,1,1,0,0,0,1,0) =       -613 /       1063 == -0.5766698024 =/= -0.5766695683
           nkc(1,0,0,1,1,0,0,0,1,0) =       -372 /        953 == -0.3903462749 =/= -0.3903466150
           nka(1,0,0,1,1,1,1,0,0,1) =        165 /        953 == 0.1731374607 =/= 0.1731376040
           nka(1,0,0,1,1,0,1,0,0,1) =        381 /       1481 == 0.2572586090 =/= 0.2572584708
           nkc(1,0,0,1,1,0,1,0,0,1) =       -536 /       1019 == -0.5260058881 =/= -0.5260061462
           nka(1,0,0,1,1,1,1,0,0,0) =        165 /        953 == 0.1731374607 =/= 0.1731376040
           nkb(1,0,0,1,1,1,1,0,0,0) =       -225 /        796 == -0.2826633166 =/= -0.2826634485
           nkc(1,0,0,1,1,1,1,0,0,0) =       -397 /        788 == -0.5038071066 =/= -0.5038074889
           nka(1,0,0,1,1,0,1,0,0,0) =        381 /       1481 == 0.2572586090 =/= 0.2572584708
           nkc(1,0,0,1,1,0,1,0,0,0) =       -485 /       1137 == -0.4265611258 =/= -0.4265612841
           nka(1,0,0,1,0,1,1,0,1,1) =        205 /       1294 == 0.1584234930 =/= 0.1584236141
           nkb(1,0,0,1,0,1,1,0,1,1) =       -581 /       1180 == -0.4923728814 =/= -0.4923724924
           nka(1,0,0,1,0,1,1,0,1,0) =        280 /       1247 == 0.2245388933 =/= 0.2245392316
           nkb(1,0,0,1,0,1,1,0,1,0) =       -581 /       1180 == -0.4923728814 =/= -0.4923724924
           nka(1,0,0,1,0,1,0,0,1,0) =         84 /       1111 == 0.0756075608 =/= 0.0756074335
           nkc(1,0,0,1,0,1,0,0,1,0) =       -711 /       1244 == -0.5715434084 =/= -0.5715436764
           nkc(1,0,0,0,1,0,1,0,1,1) =        -29 /        752 == -0.0385638298 =/= -0.0385634208
           nka(1,0,0,0,1,0,0,0,1,1) =       -106 /        871 == -0.1216991963 =/= -0.1216987826
           nkc(1,0,0,0,1,0,0,0,1,1) =        -31 /        851 == -0.0364277321 =/= -0.0364278083
           nka(1,0,0,0,1,1,1,0,1,0) =         21 /       1133 == 0.0185348632 =/= 0.0185351957
           nkc(1,0,0,0,1,1,1,0,1,0) =       -163 /        767 == -0.2125162973 =/= -0.2125163877
           nka(1,0,0,0,1,1,0,0,1,0) =         21 /       1133 == 0.0185348632 =/= 0.0185351957
           nka(1,0,0,0,1,0,1,0,1,0) =         60 /       1033 == 0.0580832527 =/= 0.0580830662
           nkc(1,0,0,0,1,0,1,0,1,0) =       -279 /       1469 == -0.1899251191 =/= -0.1899249528
           nkc(1,0,0,0,1,0,0,0,1,0) =       -231 /        955 == -0.2418848168 =/= -0.2418846200
           nka(1,0,0,0,1,1,1,0,0,0) =        -95 /       1312 == -0.0724085366 =/= -0.0724081035
           nkc(1,0,0,0,1,1,1,0,0,0) =       -313 /       1112 == -0.2814748201 =/= -0.2814744325
           nkc(1,0,0,0,0,1,1,0,1,1) =       -114 /       1447 == -0.0787836904 =/= -0.0787840779
           nka(1,0,0,0,0,1,0,0,1,1) =       -222 /       1477 == -0.1503046716 =/= -0.1503049368
           nkb(1,0,0,0,0,1,0,0,1,1) =       -488 /       1323 == -0.3688586546 =/= -0.3688588612
           nkb(1,0,0,0,0,1,1,0,1,0) =       -368 /       1067 == -0.3448922212 =/= -0.3448921774
           nkb(1,0,0,0,0,1,1,0,0,1) =       -249 /        983 == -0.2533062055 =/= -0.2533066909
           nkc(1,0,0,0,0,1,1,0,0,1) =       -297 /       1333 == -0.2228057014 =/= -0.2228061568
           nkb(1,0,0,0,0,1,1,0,0,0) =       -274 /       1101 == -0.2488646685 =/= -0.2488646645
           nkc(0,1,1,1,1,_,_,1,0,1) =         39 /       1475 == 0.0264406780 =/= 0.0264408657
           nkc(0,1,1,1,1,1,1,1,0,0) =       -157 /       1166 == -0.1346483705 =/= -0.1346483072
           nkb(0,1,1,1,1,_,_,1,0,_) =        -65 /       1091 == -0.0595783685 =/= -0.0595783379
           nkc(0,1,1,1,1,1,0,1,0,0) =         39 /       1475 == 0.0264406780 =/= 0.0264408657
           nkc(0,1,1,1,1,0,1,1,0,0) =         39 /       1475 == 0.0264406780 =/= 0.0264408657
           nkc(0,1,1,1,1,0,0,1,0,0) =         39 /       1475 == 0.0264406780 =/= 0.0264408657
           nka(0,1,1,1,0,_,_,1,1,1) =        -25 /       1077 == -0.0232126277 =/= -0.0232126512
           nka(0,1,1,1,0,1,1,1,1,0) =        211 /        809 == 0.2608158220 =/= 0.2608158905
           nka(0,1,1,1,0,1,0,1,1,0) =        428 /       1237 == 0.3459983832 =/= 0.3459979688
           nka(0,1,1,1,0,0,1,1,1,0) =        414 /       1229 == 0.3368592352 =/= 0.3368589667
           nkb(0,1,1,1,0,0,1,1,1,0) =        114 /       1409 == 0.0809084457 =/= 0.0809082156
           nka(0,1,1,1,0,1,1,1,0,1) =        404 /       1425 == 0.2835087719 =/= 0.2835086192
           nkb(0,1,1,1,0,1,0,1,0,1) =        -15 /        889 == -0.0168728909 =/= -0.0168726836
           nka(0,1,1,1,0,0,0,1,0,1) =        437 /       1322 == 0.3305597579 =/= 0.3305594904
           nkb(0,1,1,1,0,1,0,1,0,0) =         43 /       1210 == 0.0355371901 =/= 0.0355372664
           nka(0,1,1,1,0,0,1,1,0,0) =        525 /       1406 == 0.3733997155 =/= 0.3733998074
           nkc(0,1,1,1,0,0,1,1,0,0) =         67 /       1013 == 0.0661401777 =/= 0.0661404134
           nka(0,1,1,0,1,_,_,1,1,1) =        -68 /        809 == -0.0840543881 =/= -0.0840547884
           nkb(0,1,1,0,1,_,_,1,1,_) =        310 /        901 == 0.3440621532 =/= 0.3440620425
           nka(0,1,1,0,1,1,0,1,1,0) =         53 /       1244 == 0.0426045016 =/= 0.0426046242
           nkc(0,1,1,0,1,0,1,1,1,0) =        -80 /       1443 == -0.0554400554 =/= -0.0554404569
           nka(0,1,1,0,1,0,0,1,1,0) =         41 /       1133 == 0.0361871139 =/= 0.0361868397
           nka(0,1,1,0,1,1,1,1,0,1) =        107 /        825 == 0.1296969697 =/= 0.1296965141
           nkc(0,1,1,0,1,1,1,1,0,1) =        215 /       1383 == 0.1554591468 =/= 0.1554593176
           nka(0,1,1,0,1,1,0,1,0,1) =        107 /        825 == 0.1296969697 =/= 0.1296965141
           nkc(0,1,1,0,1,1,0,1,0,1) =        215 /       1383 == 0.1554591468 =/= 0.1554593176
           nka(0,1,1,0,1,0,1,1,0,1) =        496 /       1387 == 0.3576063446 =/= 0.3576060090
           nkc(0,1,1,0,1,0,1,1,0,1) =         39 /       1342 == 0.0290611028 =/= 0.0290606576
           nkb(0,1,1,0,1,0,0,1,0,1) =        343 /       1413 == 0.2427459306 =/= 0.2427454860
           nkc(0,1,1,0,1,0,0,1,0,1) =        215 /       1383 == 0.1554591468 =/= 0.1554593176
           nka(0,1,1,0,1,1,1,1,0,0) =        403 /       1263 == 0.3190815519 =/= 0.3190818924
           nka(0,1,1,0,1,1,0,1,0,0) =        403 /       1263 == 0.3190815519 =/= 0.3190818924
           nkb(0,1,1,0,1,1,0,1,0,0) =         54 /        799 == 0.0675844806 =/= 0.0675847743
           nka(0,1,1,0,1,0,1,1,0,0) =        809 /       1479 == 0.5469912103 =/= 0.5469913874
           nkb(0,1,1,0,1,0,1,1,0,0) =        217 /       1102 == 0.1969147005 =/= 0.1969147575
           nkb(0,1,1,0,1,0,0,1,0,0) =        343 /       1413 == 0.2427459306 =/= 0.2427454860
           nka(0,1,1,0,0,1,1,1,1,1) =        -68 /        809 == -0.0840543881 =/= -0.0840547884
           nka(0,1,1,0,0,0,0,1,1,1) =        -25 /       1077 == -0.0232126277 =/= -0.0232126512
           nka(0,1,1,0,0,1,0,1,1,0) =        343 /        899 == 0.3815350389 =/= 0.3815352352
           nkb(0,1,1,0,0,0,1,1,1,0) =         74 /        933 == 0.0793140407 =/= 0.0793142880
           nka(0,1,1,0,0,1,1,1,0,0) =        301 /       1021 == 0.2948090108 =/= 0.2948089529
           nka(0,1,1,0,0,0,1,1,0,0) =        422 /       1157 == 0.3647363872 =/= 0.3647364117
           nkc(0,1,1,0,0,0,0,1,0,0) =         55 /        812 == 0.0677339901 =/= 0.0677343410
           nka(0,1,1,1,1,_,_,0,1,1) =        135 /        778 == 0.1735218509 =/= 0.1735214128
           nkb(0,1,1,1,1,_,_,0,1,_) =        329 /       1423 == 0.2312016866 =/= 0.2312016777
           nkc(0,1,1,1,1,_,_,0,1,1) =        -21 /       1163 == -0.0180567498 =/= -0.0180564239
           nka(0,1,1,1,1,1,1,0,1,0) =        229 /       1473 == 0.1554650373 =/= 0.1554649890
           nka(0,1,1,1,1,1,0,0,1,0) =        229 /       1473 == 0.1554650373 =/= 0.1554649890
           nka(0,1,1,1,1,0,1,0,1,0) =       -112 /       1451 == -0.0771881461 =/= -0.0771881718
           nka(0,1,1,1,1,0,0,0,1,0) =        -93 /       1210 == -0.0768595041 =/= -0.0768593624
           nka(0,1,1,1,1,0,1,0,0,1) =        -19 /       1427 == -0.0133146461 =/= -0.0133143407
           nkb(0,1,1,1,1,1,1,0,0,0) =        153 /       1015 == 0.1507389163 =/= 0.1507387330
           nkb(0,1,1,1,1,0,1,0,0,0) =        137 /        768 == 0.1783854167 =/= 0.1783857608
           nkc(0,1,1,1,1,0,1,0,0,0) =          9 /        910 == 0.0098901099 =/= 0.0098902650
           nka(0,1,1,1,0,1,1,0,1,1) =        539 /        986 == 0.5466531440 =/= 0.5466533455
           nka(0,1,1,1,0,1,0,0,1,1) =        335 /       1124 == 0.2980427046 =/= 0.2980431027
           nka(0,1,1,1,0,0,0,0,1,1) =        479 /       1497 == 0.3199732799 =/= 0.3199733576
           nkb(0,1,1,1,0,0,0,0,1,1) =         -6 /       1327 == -0.0045214770 =/= -0.0045216898
           nkc(0,1,1,1,0,1,1,0,1,0) =       -323 /       1497 == -0.2157648631 =/= -0.2157649138
           nkc(0,1,1,1,0,1,0,0,1,0) =         41 /       1217 == 0.0336894002 =/= 0.0336889170
           nkb(0,1,1,1,0,0,1,0,1,0) =       -171 /       1036 == -0.1650579151 =/= -0.1650579670
           nkc(0,1,1,1,0,0,1,0,1,0) =         14 /        829 == 0.0168878166 =/= 0.0168882470
           nkc(0,1,1,1,0,0,0,0,1,0) =         47 /       1351 == 0.0347890452 =/= 0.0347889052
           nkb(0,1,1,1,0,0,1,0,0,1) =         52 /       1189 == 0.0437342304 =/= 0.0437346839
           nka(0,1,1,1,0,1,1,0,0,0) =        437 /        962 == 0.4542619543 =/= 0.4542618605
           nka(0,1,1,0,1,1,1,0,1,1) =        374 /        997 == 0.3751253761 =/= 0.3751253644
           nkb(0,1,1,0,1,1,1,0,1,1) =         17 /       1473 == 0.0115410726 =/= 0.0115413023
           nkc(0,1,1,0,1,1,0,0,1,1) =        162 /       1163 == 0.1392949269 =/= 0.1392952954
           nkc(0,1,1,0,1,0,0,0,1,1) =        329 /       1423 == 0.2312016866 =/= 0.2312016777
           nka(0,1,1,0,1,1,1,0,1,0) =        925 /       1483 == 0.6237356709 =/= 0.6237356072
           nkb(0,1,1,0,1,1,1,0,1,0) =         17 /       1473 == 0.0115410726 =/= 0.0115413023
           nkc(0,1,1,0,1,1,1,0,1,0) =       -313 /       1259 == -0.2486100079 =/= -0.2486102428
           nka(0,1,1,0,1,0,1,0,1,0) =        399 /        991 == 0.4026236125 =/= 0.4026237487
           nkb(0,1,1,0,1,1,1,0,0,1) =        -91 /        783 == -0.1162196679 =/= -0.1162196811
           nka(0,1,1,0,1,0,1,0,0,1) =        419 /        982 == 0.4266802444 =/= 0.4266799879
           nka(0,1,1,0,1,0,1,0,0,0) =        323 /       1452 == 0.2224517906 =/= 0.2224522877
           nka(0,1,1,0,0,1,1,0,1,1) =        298 /       1151 == 0.2589052997 =/= 0.2589056833
           nka(0,1,1,0,0,1,0,0,1,1) =        152 /       1101 == 0.1380563124 =/= 0.1380564239
           nkc(0,1,1,0,0,1,0,0,1,1) =        313 /       1259 == 0.2486100079 =/= 0.2486102428
           nka(0,1,1,0,0,0,0,0,1,1) =        152 /       1101 == 0.1380563124 =/= 0.1380564239
           nkc(0,1,1,0,0,0,0,0,1,1) =        329 /       1423 == 0.2312016866 =/= 0.2312016777
           nka(0,1,1,0,0,1,1,0,1,0) =        709 /       1397 == 0.5075161059 =/= 0.5075159261
           nkc(0,1,1,0,0,1,1,0,1,0) =       -313 /       1259 == -0.2486100079 =/= -0.2486102428
           nka(0,1,1,0,0,0,1,0,1,0) =        399 /        991 == 0.4026236125 =/= 0.4026237487
           nka(0,1,1,0,0,0,1,0,0,1) =        235 /        834 == 0.2817745803 =/= 0.2817744892
           nkb(0,1,1,0,0,0,1,0,0,1) =        289 /       1500 == 0.1926666667 =/= 0.1926664820
           nkb(0,1,1,0,0,0,1,0,0,0) =        199 /       1220 == 0.1631147541 =/= 0.1631143909
           nka(0,1,0,1,1,_,_,1,1,1) =        235 /       1032 == 0.2277131783 =/= 0.2277129743
           nka(0,1,0,1,1,1,0,1,1,0) =        473 /       1189 == 0.3978132885 =/= 0.3978132130
           nka(0,1,0,1,1,0,0,1,1,0) =        473 /       1189 == 0.3978132885 =/= 0.3978132130
           nkc(0,1,0,1,1,1,0,1,0,1) =        -32 /        855 == -0.0374269006 =/= -0.0374271621
           nka(0,1,0,1,1,0,0,1,0,1) =        668 /       1291 == 0.5174283501 =/= 0.5174287448
           nkb(0,1,0,1,1,0,0,1,0,1) =        133 /        764 == 0.1740837696 =/= 0.1740839367
           nkc(0,1,0,1,1,0,0,1,0,1) =       -346 /       1135 == -0.3048458150 =/= -0.3048460149
           nkb(0,1,0,1,1,1,1,1,0,0) =        202 /       1253 == 0.1612130886 =/= 0.1612128886
           nka(0,1,0,1,1,1,0,1,0,0) =        577 /       1320 == 0.4371212121 =/= 0.4371209064
           nkc(0,1,0,1,1,1,0,1,0,0) =       -123 /       1444 == -0.0851800554 =/= -0.0851803638
           nkb(0,1,0,1,1,0,1,1,0,0) =        262 /       1263 == 0.2074425970 =/= 0.2074424617
           nkb(0,1,0,1,0,1,1,1,1,1) =        -25 /        889 == -0.0281214848 =/= -0.0281215790
           nka(0,1,0,1,0,1,0,1,1,1) =        454 /       1379 == 0.3292240754 =/= 0.3292238093
           nka(0,1,0,1,0,0,1,1,1,1) =        454 /       1379 == 0.3292240754 =/= 0.3292238093
           nka(0,1,0,1,0,0,0,1,1,1) =        213 /        763 == 0.2791612058 =/= 0.2791616877
           nkb(0,1,0,1,0,0,0,1,1,1) =         40 /        799 == 0.0500625782 =/= 0.0500621216
           nka(0,1,0,1,0,1,0,1,1,0) =        751 /       1357 == 0.5534266765 =/= 0.5534264498
           nkb(0,1,0,1,0,1,0,1,1,0) =        -60 /       1109 == -0.0541027953 =/= -0.0541024018
           nka(0,1,0,1,0,0,0,1,1,0) =        487 /       1084 == 0.4492619926 =/= 0.4492619264
           nkb(0,1,0,1,0,0,0,1,1,0) =         40 /        799 == 0.0500625782 =/= 0.0500621216
           nka(0,1,0,1,0,1,0,1,0,1) =        435 /       1336 == 0.3255988024 =/= 0.3255989923
           nkb(0,1,0,1,0,1,0,1,0,1) =         47 /        908 == 0.0517621145 =/= 0.0517623551
           nkc(0,1,0,1,0,1,0,1,0,1) =         13 /       1397 == 0.0093056550 =/= 0.0093053192
           nkc(0,1,0,1,0,0,1,1,0,1) =         -7 /        760 == -0.0092105263 =/= -0.0092103562
           nkb(0,1,0,1,0,0,0,1,0,1) =        175 /       1427 == 0.1226348984 =/= 0.1226352234
           nkc(0,1,0,1,0,0,0,1,0,1) =       -342 /       1325 == -0.2581132075 =/= -0.2581135335
           nka(0,1,0,1,0,1,1,1,0,0) =        690 /       1253 == 0.5506783719 =/= 0.5506787217
           nkc(0,1,0,1,0,1,1,1,0,0) =       -325 /       1224 == -0.2655228758 =/= -0.2655228900
           nkb(0,1,0,1,0,0,1,1,0,0) =         98 /       1235 == 0.0793522267 =/= 0.0793521413
           nka(0,1,0,1,0,0,0,1,0,0) =        503 /        856 == 0.5876168224 =/= 0.5876165605
           nkc(0,1,0,1,0,0,0,1,0,0) =       -205 /       1093 == -0.1875571821 =/= -0.1875576043
           nka(0,1,0,0,1,1,1,1,1,1) =        745 /       1469 == 0.5071477195 =/= 0.5071475488
           nka(0,1,0,0,1,1,0,1,1,1) =        413 /        942 == 0.4384288747 =/= 0.4384290217
           nkb(0,1,0,0,1,1,0,1,1,1) =        -47 /        908 == -0.0517621145 =/= -0.0517623551
           nka(0,1,0,0,1,0,1,1,1,1) =        496 /       1309 == 0.3789152024 =/= 0.3789150477
           nkb(0,1,0,0,1,1,0,1,1,0) =        -47 /        908 == -0.0517621145 =/= -0.0517623551
           nkb(0,1,0,0,1,0,1,1,1,0) =        319 /       1162 == 0.2745266781 =/= 0.2745267018
           nkb(0,1,0,0,1,0,0,1,1,0) =         25 /       1294 == 0.0193199382 =/= 0.0193202232
           nkc(0,1,0,0,1,1,1,1,0,1) =        -29 /        765 == -0.0379084967 =/= -0.0379089674
           nkc(0,1,0,0,1,1,0,1,0,1) =        338 /       1481 == 0.2282241729 =/= 0.2282243237
           nkb(0,1,0,0,1,0,1,1,0,1) =         99 /       1183 == 0.0836855452 =/= 0.0836857516
           nka(0,1,0,0,1,0,0,1,0,1) =        522 /       1465 == 0.3563139932 =/= 0.3563142484
           nkb(0,1,0,0,1,0,0,1,0,1) =         66 /        949 == 0.0695468915 =/= 0.0695469473
           nkc(0,1,0,0,1,0,0,1,0,1) =        -37 /        944 == -0.0391949153 =/= -0.0391945291
           nka(0,1,0,0,1,0,1,1,0,0) =        505 /       1236 == 0.4085760518 =/= 0.4085759506
           nkb(0,1,0,0,1,0,1,1,0,0) =        119 /        984 == 0.1209349593 =/= 0.1209348580
           nkc(0,1,0,0,1,0,0,1,0,0) =         11 /        760 == 0.0144736842 =/= 0.0144732851
           nka(0,1,0,0,0,1,1,1,1,1) =        277 /        867 == 0.3194925029 =/= 0.3194928712
           nka(0,1,0,0,0,1,0,1,1,1) =        236 /       1361 == 0.1734019104 =/= 0.1734020496
           nka(0,1,0,0,0,0,1,1,1,1) =        374 /       1033 == 0.3620522749 =/= 0.3620523879
           nkc(0,1,0,0,0,0,1,1,1,1) =        106 /        989 == 0.1071789687 =/= 0.1071790712
           nkb(0,1,0,0,0,0,0,1,1,1) =         54 /        851 == 0.0634547591 =/= 0.0634544112
           nka(0,1,0,0,0,1,1,1,0,1) =        231 /        758 == 0.3047493404 =/= 0.3047492053
           nkc(0,1,0,0,0,1,1,1,0,1) =        269 /        869 == 0.3095512083 =/= 0.3095510360
           nkb(0,1,0,0,0,0,1,1,0,1) =       -378 /       1399 == -0.2701929950 =/= -0.2701930914
           nkc(0,1,0,0,0,0,1,1,0,1) =        269 /        869 == 0.3095512083 =/= 0.3095510360
           nka(0,1,0,0,0,0,0,1,0,1) =        224 /       1179 == 0.1899915182 =/= 0.1899912951
           nkb(0,1,0,0,0,1,1,1,0,0) =        -12 /        845 == -0.0142011834 =/= -0.0142011897
           nkc(0,1,0,0,0,1,1,1,0,0) =         -3 /        967 == -0.0031023785 =/= -0.0031025205
           nkc(0,1,0,0,0,0,0,1,0,0) =        111 /       1139 == 0.0974539069 =/= 0.0974542001
           nkc(0,1,0,1,1,1,0,0,1,1) =       -181 /       1133 == -0.1597528685 =/= -0.1597525686
           nka(0,1,0,1,1,0,1,0,1,1) =        715 /       1318 == 0.5424886191 =/= 0.5424884264
           nka(0,1,0,1,1,0,0,0,1,1) =        219 /        754 == 0.2904509284 =/= 0.2904508105
           nkc(0,1,0,1,1,0,0,0,1,1) =       -193 /       1499 == -0.1287525017 =/= -0.1287522916
           nkb(0,1,0,1,1,1,0,0,1,0) =          6 /       1327 == 0.0045214770 =/= 0.0045216898
           nkb(0,1,0,1,1,1,1,0,0,1) =       -155 /        872 == -0.1777522936 =/= -0.1777520147
           nkc(0,1,0,1,1,0,1,0,0,1) =       -153 /        808 == -0.1893564356 =/= -0.1893564938
           nkb(0,1,0,1,1,1,1,0,0,0) =       -155 /        872 == -0.1777522936 =/= -0.1777520147
           nkc(0,1,0,1,1,0,1,0,0,0) =       -287 /       1005 == -0.2855721393 =/= -0.2855723499
           nka(0,1,0,1,0,1,1,0,1,1) =        442 /        907 == 0.4873208379 =/= 0.4873205925
           nkb(0,1,0,1,0,1,1,0,1,1) =        224 /       1397 == 0.1603435934 =/= 0.1603434495
           nka(0,1,0,1,0,1,0,0,1,1) =        898 /       1447 == 0.6205943331 =/= 0.6205945739
           nkb(0,1,0,1,0,1,0,0,1,1) =         -6 /       1327 == -0.0045214770 =/= -0.0045216898
           nkc(0,1,0,1,0,1,0,0,1,1) =       -259 /       1129 == -0.2294065545 =/= -0.2294062174
           nkb(0,1,0,1,0,1,1,0,1,0) =        155 /        872 == 0.1777522936 =/= 0.1777520147
           nkc(0,1,0,1,0,1,1,0,1,0) =       -368 /       1087 == -0.3385464581 =/= -0.3385465385
           nka(0,1,0,1,0,1,0,0,1,0) =       1000 /       1469 == 0.6807351940 =/= 0.6807351719
           nkc(0,1,0,1,0,1,0,0,1,0) =       -352 /       1197 == -0.2940685046 =/= -0.2940685053
           nkc(0,1,0,1,0,1,1,0,0,1) =       -105 /        754 == -0.1392572944 =/= -0.1392575740
           nkc(0,1,0,1,0,1,1,0,0,0) =        -91 /        985 == -0.0923857868 =/= -0.0923856817
           nkc(0,1,0,0,1,1,1,0,1,0) =        -49 /       1000 == -0.0490000000 =/= -0.0489997230
           nkb(0,1,0,0,1,0,1,0,1,0) =        -31 /       1231 == -0.0251827782 =/= -0.0251828697
           nkc(0,1,0,0,1,0,1,0,1,0) =        -49 /       1000 == -0.0490000000 =/= -0.0489997230
           nka(0,1,0,0,1,0,0,0,1,0) =        179 /       1107 == 0.1616982836 =/= 0.1616985188
           nka(0,1,0,0,1,1,1,0,0,1) =        421 /       1105 == 0.3809954751 =/= 0.3809951331
           nkb(0,1,0,0,1,1,1,0,0,1) =       -155 /        872 == -0.1777522936 =/= -0.1777520147
           nka(0,1,0,0,1,0,1,0,0,1) =        529 /       1410 == 0.3751773050 =/= 0.3751777259
           nka(0,1,0,0,1,1,1,0,0,0) =        514 /        999 == 0.5145145145 =/= 0.5145149633
           nkb(0,1,0,0,1,1,1,0,0,0) =       -155 /        872 == -0.1777522936 =/= -0.1777520147
           nka(0,1,0,0,1,0,1,0,0,0) =        431 /        875 == 0.4925714286 =/= 0.4925713871
           nkb(0,1,0,0,1,0,1,0,0,0) =        115 /        974 == 0.1180698152 =/= 0.1180697451
           nka(0,1,0,0,0,1,1,0,1,1) =        599 /       1473 == 0.4066530889 =/= 0.4066533455
           nkb(0,1,0,0,0,1,1,0,1,1) =        -29 /       1451 == -0.0199862164 =/= -0.0199866788
           nka(0,1,0,0,0,1,0,0,1,1) =        384 /       1049 == 0.3660629171 =/= 0.3660624646
           nkb(0,1,0,0,0,1,0,0,1,1) =         -6 /       1327 == -0.0045214770 =/= -0.0045216898
           nka(0,1,0,0,0,1,1,0,1,0) =        359 /        824 == 0.4356796117 =/= 0.4356797109
           nkc(0,1,0,0,0,1,1,0,1,0) =        -72 /       1469 == -0.0490129340 =/= -0.0490130442
           nka(0,1,0,0,0,1,1,0,0,1) =        489 /       1033 == 0.4733785092 =/= 0.4733785727
           nkb(0,1,0,0,0,1,1,0,0,1) =       -155 /        872 == -0.1777522936 =/= -0.1777520147
           nka(0,1,0,0,0,1,1,0,0,0) =        383 /       1048 == 0.3654580153 =/= 0.3654582624
           nkb(0,1,0,0,0,1,1,0,0,0) =       -155 /        872 == -0.1777522936 =/= -0.1777520147
           nkc(0,1,0,0,0,1,1,0,0,0) =        268 /       1347 == 0.1989606533 =/= 0.1989604189
           nkc(0,0,1,1,1,1,0,1,1,0) =         28 /       1231 == 0.0227457352 =/= 0.0227460135
           nkc(0,0,1,1,1,0,1,1,1,0) =       -317 /       1362 == -0.2327459618 =/= -0.2327458816
           nkc(0,0,1,1,1,1,1,1,0,1) =        -50 /        993 == -0.0503524673 =/= -0.0503525502
           nkb(0,0,1,1,1,1,0,1,0,1) =       -103 /       1180 == -0.0872881356 =/= -0.0872885424
           nka(0,0,1,1,1,0,1,1,0,1) =        636 /       1471 == 0.4323589395 =/= 0.4323594350
           nka(0,0,1,1,1,1,1,1,0,0) =        519 /       1484 == 0.3497304582 =/= 0.3497306744
           nkb(0,0,1,1,1,1,1,1,0,0) =        101 /       1302 == 0.0775729647 =/= 0.0775734315
           nkc(0,0,1,1,1,1,1,1,0,0) =        -51 /       1255 == -0.0406374502 =/= -0.0406374392
           nka(0,0,1,1,1,0,1,1,0,0) =        638 /       1227 == 0.5199674002 =/= 0.5199676862
           nka(0,0,1,1,1,0,0,1,0,0) =        245 /        853 == 0.2872215709 =/= 0.2872218046
           nka(0,0,1,1,0,1,0,1,1,1) =        150 /       1463 == 0.1025290499 =/= 0.1025287857
           nka(0,0,1,1,0,1,1,1,1,0) =        773 /       1434 == 0.5390516039 =/= 0.5390512932
           nkb(0,0,1,1,0,1,1,1,0,1) =        146 /       1057 == 0.1381267739 =/= 0.1381268547
           nkc(0,0,1,1,0,1,1,1,0,1) =        -50 /        993 == -0.0503524673 =/= -0.0503525502
           nkb(0,0,1,1,0,1,1,1,0,0) =        305 /       1414 == 0.2157001414 =/= 0.2157002862
           nkb(0,0,1,1,0,1,0,1,0,0) =        103 /       1180 == 0.0872881356 =/= 0.0872885424
           nkc(0,0,1,1,0,1,0,1,0,0) =         51 /       1255 == 0.0406374502 =/= 0.0406374392
           nka(0,0,1,0,1,1,1,1,1,1) =        427 /       1472 == 0.2900815217 =/= 0.2900813780
           nkb(0,0,1,0,1,1,1,1,1,1) =        183 /       1385 == 0.1321299639 =/= 0.1321300729
           nka(0,0,1,0,1,0,0,1,1,1) =        185 /       1487 == 0.1244115669 =/= 0.1244119548
           nkc(0,0,1,0,1,1,1,1,1,0) =       -122 /       1431 == -0.0852550664 =/= -0.0852548833
           nkc(0,0,1,0,1,0,1,1,1,0) =       -314 /       1229 == -0.2554922701 =/= -0.2554918952
           nkb(0,0,1,0,1,0,0,1,1,0) =        -17 /       1389 == -0.0122390209 =/= -0.0122390166
           nkc(0,0,1,0,1,0,0,1,1,0) =        -28 /       1231 == -0.0227457352 =/= -0.0227460135
           nkb(0,0,1,0,1,1,0,1,0,1) =       -181 /        908 == -0.1993392070 =/= -0.1993388201
           nkb(0,0,1,0,1,1,1,1,0,0) =         51 /       1255 == 0.0406374502 =/= 0.0406374392
           nkc(0,0,1,0,1,1,1,1,0,0) =        -51 /       1255 == -0.0406374502 =/= -0.0406374392
           nka(0,0,1,0,1,0,0,1,0,0) =        473 /       1245 == 0.3799196787 =/= 0.3799199409
           nkb(0,0,1,0,0,1,1,1,1,0) =        274 /       1165 == 0.2351931330 =/= 0.2351928936
           nkc(0,0,1,0,0,1,1,1,1,0) =       -122 /       1431 == -0.0852550664 =/= -0.0852548833
           nkc(0,0,1,0,0,1,0,1,0,1) =         50 /        993 == 0.0503524673 =/= 0.0503525502
           nka(0,0,1,0,0,1,1,1,0,0) =        193 /       1163 == 0.1659501290 =/= 0.1659506192
           nkb(0,0,1,0,0,1,1,1,0,0) =        228 /       1033 == 0.2207163601 =/= 0.2207160474
           nkc(0,0,1,0,0,1,0,1,0,0) =         75 /       1436 == 0.0522284123 =/= 0.0522285971
           nka(0,0,1,1,1,1,0,0,1,1) =        547 /       1391 == 0.3932422717 =/= 0.3932420633
           nkc(0,0,1,1,1,0,1,0,1,1) =       -296 /       1123 == -0.2635796972 =/= -0.2635798415
           nkb(0,0,1,1,1,0,0,0,1,1) =       -481 /        810 == -0.5938271605 =/= -0.5938270091
           nka(0,0,1,1,1,1,1,0,1,0) =        405 /        892 == 0.4540358744 =/= 0.4540360596
           nkb(0,0,1,1,1,1,0,0,1,0) =       -139 /       1200 == -0.1158333333 =/= -0.1158334982
           nkc(0,0,1,1,1,1,0,0,1,0) =         73 /       1365 == 0.0534798535 =/= 0.0534798665
           nka(0,0,1,1,1,0,0,0,1,0) =        669 /        886 == 0.7550790068 =/= 0.7550792018
           nkc(0,0,1,1,1,0,0,0,1,0) =        -41 /        846 == -0.0484633570 =/= -0.0484637096
           nka(0,0,1,1,1,0,1,0,0,0) =        937 /       1305 == 0.7180076628 =/= 0.7180074915
           nkc(0,0,1,1,1,0,1,0,0,0) =       -388 /       1171 == -0.3313407344 =/= -0.3313408249
           nka(0,0,1,1,0,1,0,0,1,1) =        345 /       1384 == 0.2492774566 =/= 0.2492770941
           nkb(0,0,1,1,0,1,0,0,1,1) =       -271 /       1069 == -0.2535079514 =/= -0.2535076960
           nka(0,0,1,1,0,1,0,0,1,0) =        253 /       1209 == 0.2092638544 =/= 0.2092637729
           nkb(0,0,1,1,0,1,0,0,1,0) =        -33 /       1057 == -0.0312204352 =/= -0.0312206703
           nka(0,0,1,0,1,1,1,0,1,1) =        355 /       1024 == 0.3466796875 =/= 0.3466799879
           nka(0,0,1,0,1,1,0,0,1,1) =        555 /       1336 == 0.4154191617 =/= 0.4154190902
           nka(0,0,1,0,1,0,1,0,1,1) =        659 /       1197 == 0.5505430242 =/= 0.5505428718
           nkc(0,0,1,0,1,0,1,0,1,1) =       -181 /       1457 == -0.1242278655 =/= -0.1242277002
           nkb(0,0,1,0,1,0,0,0,1,1) =       -238 /        869 == -0.2738780207 =/= -0.2738781836
           nkc(0,0,1,0,1,1,0,0,1,0) =        247 /       1099 == 0.2247497725 =/= 0.2247497329
           nkc(0,0,1,0,1,0,1,0,1,0) =         52 /       1189 == 0.0437342304 =/= 0.0437346839
           nka(0,0,1,0,1,0,0,0,1,0) =        411 /       1382 == 0.2973950796 =/= 0.2973952439
           nkc(0,0,1,0,1,0,0,0,1,0) =        114 /       1277 == 0.0892717306 =/= 0.0892714227
           nka(0,0,1,0,1,1,1,0,0,1) =        419 /        982 == 0.4266802444 =/= 0.4266799879
           nkb(0,0,1,0,1,0,1,0,0,1) =       -415 /       1423 == -0.2916373858 =/= -0.2916371886
           nka(0,0,1,0,1,1,1,0,0,0) =        236 /       1291 == 0.1828040279 =/= 0.1828037827
           nkc(0,0,1,0,1,1,1,0,0,0) =        415 /       1423 == 0.2916373858 =/= 0.2916371886
           nkc(0,0,1,0,0,1,0,0,1,1) =        307 /       1171 == 0.2621690863 =/= 0.2621693771
           nka(0,0,1,0,0,1,1,0,1,0) =        253 /       1209 == 0.2092638544 =/= 0.2092637729
           nkb(0,0,1,0,0,1,1,0,1,0) =        179 /       1009 == 0.1774033697 =/= 0.1774028937
           nka(0,0,1,0,0,1,1,0,0,1) =        345 /       1384 == 0.2492774566 =/= 0.2492770941
           nkb(0,0,1,0,0,1,1,0,0,1) =        140 /       1019 == 0.1373895976 =/= 0.1373895725
           nka(0,0,0,1,1,1,1,1,1,1) =        542 /       1249 == 0.4339471577 =/= 0.4339471636
           nkc(0,0,0,1,1,1,1,1,1,1) =        -40 /       1001 == -0.0399600400 =/= -0.0399597726
           nka(0,0,0,1,1,0,1,1,1,1) =        448 /       1495 == 0.2996655518 =/= 0.2996652554
           nkc(0,0,0,1,1,0,1,1,1,1) =        -40 /       1001 == -0.0399600400 =/= -0.0399597726
           nkb(0,0,0,1,1,0,0,1,1,1) =        -31 /        874 == -0.0354691076 =/= -0.0354690777
           nka(0,0,0,1,1,1,1,1,1,0) =        772 /       1315 == 0.5870722433 =/= 0.5870719740
           nka(0,0,0,1,1,1,0,1,1,0) =        542 /        993 == 0.5458207452 =/= 0.5458212321
           nka(0,0,0,1,1,0,0,1,1,0) =        607 /       1047 == 0.5797516714 =/= 0.5797512497
           nka(0,0,0,1,1,1,1,1,0,1) =        661 /       1276 == 0.5180250784 =/= 0.5180247695
           nkc(0,0,0,1,1,1,1,1,0,1) =       -110 /       1467 == -0.0749829584 =/= -0.0749829198
           nkc(0,0,0,1,1,0,1,1,0,1) =       -145 /       1169 == -0.1240376390 =/= -0.1240373785
           nka(0,0,0,1,1,1,1,1,0,0) =        659 /       1265 == 0.5209486166 =/= 0.5209485749
           nka(0,0,0,1,0,1,1,1,1,1) =        349 /        896 == 0.3895089286 =/= 0.3895089621
           nkb(0,0,0,1,0,1,1,1,1,1) =         38 /       1333 == 0.0285071268 =/= 0.0285072343
           nka(0,0,0,1,0,1,1,1,1,0) =        510 /        961 == 0.5306971904 =/= 0.5306967910
           nka(0,0,0,1,0,1,0,1,1,0) =        677 /       1187 == 0.5703454086 =/= 0.5703452960
           nka(0,0,0,1,0,1,1,1,0,0) =        502 /       1025 == 0.4897560976 =/= 0.4897562616
           nkc(0,0,0,1,0,1,1,1,0,0) =       -155 /        972 == -0.1594650206 =/= -0.1594647780
           nkb(0,0,0,0,1,1,1,1,1,1) =        305 /       1353 == 0.2254249815 =/= 0.2254251573
           nkc(0,0,0,0,1,1,1,1,1,1) =        -31 /        874 == -0.0354691076 =/= -0.0354690777
           nka(0,0,0,0,1,1,0,1,1,1) =        281 /       1000 == 0.2810000000 =/= 0.2809998813
           nkc(0,0,0,0,1,0,1,1,1,1) =        -31 /        874 == -0.0354691076 =/= -0.0354690777
           nka(0,0,0,0,1,1,1,1,1,0) =        101 /       1059 == 0.0953729934 =/= 0.0953729276
           nkb(0,0,0,0,1,1,1,1,1,0) =        279 /        859 == 0.3247962747 =/= 0.3247961593
           nkc(0,0,0,0,1,1,1,1,1,0) =        -33 /        985 == -0.0335025381 =/= -0.0335024202
           nkb(0,0,0,0,1,1,0,1,1,0) =        101 /        819 == 0.1233211233 =/= 0.1233210673
           nkb(0,0,0,0,1,0,1,1,1,0) =         79 /        795 == 0.0993710692 =/= 0.0993710020
           nkc(0,0,0,0,1,0,1,1,1,0) =        -46 /       1347 == -0.0341499629 =/= -0.0341502790
           nkc(0,0,0,0,1,0,1,1,0,1) =         47 /        903 == 0.0520487265 =/= 0.0520488268
           nka(0,0,0,0,1,1,1,1,0,0) =        118 /       1137 == 0.1037818821 =/= 0.1037817697
           nkb(0,0,0,0,1,1,1,1,0,0) =        317 /       1362 == 0.2327459618 =/= 0.2327458816
           nka(0,0,0,0,0,1,0,1,1,1) =        -47 /        977 == -0.0481064483 =/= -0.0481068070
           nkb(0,0,0,0,0,1,0,1,1,1) =        330 /       1183 == 0.2789518174 =/= 0.2789517140
           nka(0,0,0,0,0,1,1,1,1,0) =        247 /        971 == 0.2543769310 =/= 0.2543764756
           nkb(0,0,0,0,0,1,1,1,1,0) =         79 /        795 == 0.0993710692 =/= 0.0993710020
           nkc(0,0,0,0,0,1,1,1,1,0) =         45 /       1367 == 0.0329188003 =/= 0.0329191891
           nkc(0,0,0,0,0,1,0,1,1,0) =        122 /        861 == 0.1416957027 =/= 0.1416961448
           nka(0,0,0,0,0,1,1,1,0,1) =        378 /       1493 == 0.2531815137 =/= 0.2531813925
           nkb(0,0,0,0,0,1,1,1,0,1) =        -70 /       1427 == -0.0490539594 =/= -0.0490544586
           nkc(0,0,0,0,0,1,1,1,0,0) =         45 /       1358 == 0.0331369661 =/= 0.0331369446
     nkd(1,1,1,1,1,_,_,_,_,_,_,_,_) =        -69 /       1234 == -0.0559157212 =/= -0.0559154038
     nke(1,0,1,1,1,_,_,_,_,_,_,_,_) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,1,1,1,0,_,_,_,_,_,_,_,_) =        -94 /       1179 == -0.0797285835 =/= -0.0797283003
     nkd(1,1,0,1,1,_,_,_,_,_,_,_,_) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,1,1,0,_,_,_,_,_,_,_,_) =        -69 /       1234 == -0.0559157212 =/= -0.0559154038
     nke(1,1,0,1,1,_,_,_,_,_,_,_,_) =       -216 /       1265 == -0.1707509881 =/= -0.1707512629
     nke(1,1,1,0,1,_,_,_,_,_,_,_,_) =       -216 /        997 == -0.2166499498 =/= -0.2166503119
     nkd(1,1,1,0,0,1,1,_,_,_,_,_,_) =        -33 /        857 == -0.0385064177 =/= -0.0385068387
     nke(1,0,0,1,1,1,1,_,_,_,_,_,_) =          4 /        937 == 0.0042689434 =/= 0.0042687189
     nke(1,1,1,0,0,1,1,_,_,_,_,_,_) =         64 /        987 == 0.0648429585 =/= 0.0648429813
     nke(1,0,0,1,1,0,0,1,1,1,1,_,_) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,1,1,0,0,0,0,1,1,1,0,1,1) =       -409 /        937 == -0.4364994664 =/= -0.4364995582
     nke(1,0,0,1,1,0,0,1,1,0,0,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,0,1,1,1,0,1,1,_,_,_,_) =       -494 /       1441 == -0.3428174879 =/= -0.3428172358
     nke(1,1,1,0,0,1,0,1,0,1,1,_,_) =       -353 /       1494 == -0.2362784471 =/= -0.2362779778
     nke(1,1,1,0,0,0,0,1,0,1,1,1,1) =       -353 /       1494 == -0.2362784471 =/= -0.2362779778
     nkd(1,0,0,1,1,1,0,1,0,1,0,1,1) =       -206 /       1247 == -0.1651964715 =/= -0.1651960590
     nke(1,1,1,0,0,1,0,1,0,1,0,1,1) =       -285 /        964 == -0.2956431535 =/= -0.2956434403
     nkd(1,0,0,1,1,1,0,1,0,0,0,1,1) =       -333 /        808 == -0.4121287129 =/= -0.4121284902
     nkd(1,0,0,1,1,1,0,0,1,1,0,1,1) =       -220 /       1019 == -0.2158979392 =/= -0.2158981258
     nke(1,1,1,0,0,1,0,1,0,0,1,1,1) =       -349 /       1433 == -0.2435450105 =/= -0.2435450217
     nke(1,1,1,0,0,0,0,1,0,0,1,1,1) =        -81 /       1447 == -0.0559778853 =/= -0.0559780530
     nkd(1,0,0,1,1,1,0,0,0,1,1,1,1) =       -584 /        923 == -0.6327193933 =/= -0.6327196349
     nkd(1,0,0,1,1,1,0,0,0,1,0,1,1) =       -202 /        965 == -0.2093264249 =/= -0.2093260265
     nke(1,1,1,0,0,1,0,0,1,1,1,_,_) =       -249 /        914 == -0.2724288840 =/= -0.2724285469
     nke(1,1,1,0,0,0,1,0,1,1,1,_,_) =       -249 /        914 == -0.2724288840 =/= -0.2724285469
     nke(1,1,1,0,0,0,0,0,1,1,1,1,1) =       -249 /        914 == -0.2724288840 =/= -0.2724285469
     nkd(1,0,0,1,1,0,1,1,0,1,0,1,1) =       -149 /       1378 == -0.1081277213 =/= -0.1081279099
     nkd(1,0,0,1,1,0,1,1,0,0,0,1,1) =       -376 /       1323 == -0.2842025699 =/= -0.2842025086
     nkd(1,0,0,1,1,0,1,0,1,1,1,_,_) =       -296 /        939 == -0.3152289670 =/= -0.3152294280
     nkd(1,0,0,1,1,0,1,0,1,1,0,1,1) =       -130 /       1307 == -0.0994644223 =/= -0.0994645142
     nkd(1,0,0,1,1,0,1,0,1,0,1,1,1) =       -271 /       1305 == -0.2076628352 =/= -0.2076624593
     nkd(1,0,0,1,1,0,1,0,0,1,1,1,1) =       -584 /        923 == -0.6327193933 =/= -0.6327196349
     nkd(1,0,0,1,1,0,1,0,0,1,0,1,1) =       -571 /        887 == -0.6437429538 =/= -0.6437429932
     nke(1,0,0,1,1,0,0,1,1,1,0,0,1) =         -2 /        791 == -0.0025284450 =/= -0.0025287857
     nke(1,0,0,1,1,0,0,1,1,0,1,0,1) =         -2 /        791 == -0.0025284450 =/= -0.0025287857
     nke(1,0,0,1,1,0,0,1,1,0,0,0,1) =       -149 /       1133 == -0.1315092674 =/= -0.1315095161
     nkd(1,0,0,1,1,0,0,1,1,1,0,1,1) =      -1115 /       1396 == -0.7987106017 =/= -0.7987102178
     nkd(1,0,0,1,1,0,0,1,0,1,1,1,1) =       -655 /       1246 == -0.5256821830 =/= -0.5256824806
     nkd(1,0,0,1,1,0,0,1,0,1,0,1,1) =       -499 /       1494 == -0.3340026774 =/= -0.3340025587
     nke(1,1,1,0,0,1,0,0,0,1,0,1,1) =       -164 /       1293 == -0.1268368136 =/= -0.1268369406
     nke(1,1,1,0,0,0,1,0,0,1,0,1,1) =       -211 /        798 == -0.2644110276 =/= -0.2644112953
     nke(1,1,1,0,0,0,0,0,0,1,0,1,1) =       -211 /        798 == -0.2644110276 =/= -0.2644112953
     nkd(1,0,0,1,1,0,0,0,1,1,0,1,1) =       -548 /        807 == -0.6790582404 =/= -0.6790581517
     nkd(1,0,0,1,1,0,0,0,1,0,0,1,1) =       -212 /       1087 == -0.1950321987 =/= -0.1950318522
     nke(1,1,1,0,0,0,0,0,0,0,1,1,1) =       -211 /        798 == -0.2644110276 =/= -0.2644112953
     nkd(1,0,0,1,1,0,0,0,0,1,1,1,1) =       -584 /        923 == -0.6327193933 =/= -0.6327196349
     nkd(1,0,0,1,1,0,0,0,0,1,0,1,1) =      -1171 /       1487 == -0.7874915938 =/= -0.7874916578
     nke(1,0,0,1,1,0,0,1,1,1,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,0,1,1,0,0,1,1,0,1,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,1,1,0,0,0,1,0,0,0,0,1,1) =       -557 /       1424 == -0.3911516854 =/= -0.3911520859
     nkd(1,0,0,1,1,0,0,0,0,0,0,1,1) =       -359 /       1183 == -0.3034657650 =/= -0.3034653583
     nke(1,0,0,1,1,0,0,1,1,0,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,1,1,0,0,0,0,0,0,0,0,1,1) =       -211 /        798 == -0.2644110276 =/= -0.2644112953
     nke(1,0,0,1,1,0,0,1,0,1,1,0,1) =        -41 /       1286 == -0.0318818040 =/= -0.0318818502
     nkd(1,0,0,1,1,0,0,0,1,1,1,1,0) =       -296 /        939 == -0.3152289670 =/= -0.3152294280
     nkd(1,0,0,1,1,0,0,0,0,1,1,1,0) =       -446 /       1345 == -0.3315985130 =/= -0.3315986758
     nke(1,0,0,1,1,0,0,1,0,1,1,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,0,1,1,1,0,1,0,1,0,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,0,1,1,1,0,1,0,1,0,1,0) =       -206 /       1247 == -0.1651964715 =/= -0.1651960590
     nke(1,1,1,0,0,1,0,1,0,1,0,1,0) =       -353 /       1494 == -0.2362784471 =/= -0.2362779778
     nkd(1,0,0,1,1,0,1,1,0,1,0,1,0) =       -149 /       1378 == -0.1081277213 =/= -0.1081279099
     nkd(1,1,1,0,0,1,0,1,0,1,0,0,1) =       -209 /        837 == -0.2497013142 =/= -0.2497008665
     nke(1,0,0,1,1,1,0,1,0,1,0,0,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,0,1,1,0,0,1,0,1,0,1,0) =       -499 /       1494 == -0.3340026774 =/= -0.3340025587
     nke(1,0,0,1,1,1,0,1,0,1,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,1,1,0,0,1,0,0,0,1,0,1,0) =       -411 /        931 == -0.4414607948 =/= -0.4414605838
     nkd(1,0,0,1,1,1,0,0,1,1,0,1,0) =       -220 /       1019 == -0.2158979392 =/= -0.2158981258
     nke(1,1,1,0,0,1,0,1,0,0,1,1,0) =       -353 /       1494 == -0.2362784471 =/= -0.2362779778
     nkd(1,0,0,1,1,0,1,0,1,1,0,1,0) =       -130 /       1307 == -0.0994644223 =/= -0.0994645142
     nke(1,0,0,1,1,0,1,1,0,1,0,0,1) =        -56 /       1011 == -0.0553907023 =/= -0.0553908651
     nke(1,0,0,1,1,0,0,1,0,1,0,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,0,1,1,1,0,0,0,1,0,1,0) =       -202 /        965 == -0.2093264249 =/= -0.2093260265
     nke(1,1,1,0,0,1,0,1,0,0,0,1,0) =       -410 /       1393 == -0.2943287868 =/= -0.2943288622
     nkd(1,0,0,1,1,0,1,0,0,1,0,1,0) =       -109 /       1174 == -0.0928449744 =/= -0.0928453290
     nke(1,0,0,1,1,0,0,1,0,1,0,0,1) =         -2 /        791 == -0.0025284450 =/= -0.0025287857
     nkd(1,0,0,1,1,0,0,0,0,1,0,1,0) =       -380 /       1129 == -0.3365810452 =/= -0.3365806724
     nkd(1,1,1,0,0,1,0,1,0,0,0,0,0) =       -195 /       1151 == -0.1694178975 =/= -0.1694178240
     nke(1,0,0,1,1,0,0,1,0,1,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,0,1,1,1,0,1,0,0,1,1,1) =       -589 /       1464 == -0.4023224044 =/= -0.4023219773
     nkd(1,0,0,1,1,1,0,1,0,0,1,1,0) =       -417 /       1336 == -0.3121257485 =/= -0.3121255886
     nke(1,0,0,1,1,1,0,1,0,0,1,0,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,1,1,0,0,0,1,0,1,1,0,1,0) =       -249 /        914 == -0.2724288840 =/= -0.2724285469
     nke(1,1,1,0,0,0,1,0,0,1,0,1,0) =       -343 /       1206 == -0.2844112769 =/= -0.2844112953
     nkd(1,0,0,1,1,1,0,0,1,0,1,1,0) =       -355 /        791 == -0.4487989886 =/= -0.4487989818
     nke(1,1,1,0,0,0,1,0,1,0,1,1,0) =       -249 /        914 == -0.2724288840 =/= -0.2724285469
     nke(1,1,1,0,0,0,1,0,0,0,1,1,0) =       -343 /       1206 == -0.2844112769 =/= -0.2844112953
     nke(1,0,0,1,1,0,0,1,0,0,1,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,0,1,1,1,0,0,0,0,1,1,0) =       -755 /       1476 == -0.5115176152 =/= -0.5115174297
     nke(1,0,0,1,1,0,0,1,0,0,1,0,1) =         -2 /        791 == -0.0025284450 =/= -0.0025287857
     nke(1,1,1,0,0,0,1,0,1,0,0,1,0) =       -249 /        914 == -0.2724288840 =/= -0.2724285469
     nke(1,0,0,1,1,0,0,1,0,0,1,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,1,1,0,0,1,0,0,0,1,1,1,1) =        -33 /        857 == -0.0385064177 =/= -0.0385068387
     nkd(1,1,1,0,0,1,0,0,0,1,1,1,0) =        198 /        797 == 0.2484316186 =/= 0.2484317915
     nke(1,1,1,0,0,0,0,1,0,1,1,1,0) =       -462 /        883 == -0.5232163080 =/= -0.5232166080
     nkd(1,1,1,0,0,1,0,0,0,1,1,0,0) =        198 /        797 == 0.2484316186 =/= 0.2484317915
     nke(1,1,1,0,0,0,0,0,0,1,1,1,0) =       -781 /       1095 == -0.7132420091 =/= -0.7132419314
     nke(1,0,0,1,1,1,0,1,0,0,0,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,0,1,1,1,0,1,0,0,0,1,0) =       -466 /       1321 == -0.3527630583 =/= -0.3527630277
     nkd(1,1,1,0,0,1,0,0,0,1,0,1,0) =        198 /        797 == 0.2484316186 =/= 0.2484317915
     nke(1,0,0,1,1,1,0,1,0,0,0,0,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,1,1,0,0,1,0,0,0,1,0,0,0) =        198 /        797 == 0.2484316186 =/= 0.2484317915
     nke(1,0,0,1,1,1,0,1,0,0,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,1,1,0,0,1,0,0,0,0,1,1,1) =       -167 /       1279 == -0.1305707584 =/= -0.1305710970
     nkd(1,1,1,0,0,1,0,0,0,0,1,1,0) =       -167 /       1279 == -0.1305707584 =/= -0.1305710970
     nke(1,0,0,1,1,0,1,1,0,0,0,1,0) =        -36 /       1177 == -0.0305862362 =/= -0.0305861328
     nkd(1,1,1,0,0,1,0,0,0,0,1,0,1) =       -167 /       1279 == -0.1305707584 =/= -0.1305710970
     nkd(1,1,1,0,0,1,0,0,0,0,1,0,0) =       -167 /       1279 == -0.1305707584 =/= -0.1305710970
     nke(1,0,0,1,1,0,1,1,0,0,0,0,0) =        -36 /       1177 == -0.0305862362 =/= -0.0305861328
     nke(1,1,1,0,0,0,0,0,0,0,1,1,0) =       -211 /        798 == -0.2644110276 =/= -0.2644112953
     nkd(1,1,1,0,0,1,0,0,0,0,0,1,1) =        -73 /       1248 == -0.0584935897 =/= -0.0584933856
     nke(1,0,0,1,1,0,0,1,0,0,0,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,1,1,0,0,1,0,0,0,0,0,1,0) =        -73 /       1248 == -0.0584935897 =/= -0.0584933856
     nke(1,1,1,0,0,0,0,1,0,0,0,1,0) =       -193 /       1037 == -0.1861137898 =/= -0.1861140347
     nkd(1,1,1,0,0,1,0,0,0,0,0,0,1) =        -73 /       1248 == -0.0584935897 =/= -0.0584933856
     nke(1,0,0,1,1,0,0,1,0,0,0,0,1) =         -2 /        791 == -0.0025284450 =/= -0.0025287857
     nkd(1,1,1,0,0,1,0,0,0,0,0,0,0) =        -73 /       1248 == -0.0584935897 =/= -0.0584933856
     nke(1,0,0,1,1,0,0,1,0,0,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,1,1,0,0,0,0,0,0,0,0,1,0) =       -211 /        798 == -0.2644110276 =/= -0.2644112953
     nkd(1,1,1,0,0,0,1,1,1,_,_,_,_) =       -215 /       1296 == -0.1658950617 =/= -0.1658954879
     nke(1,0,0,1,1,1,0,0,1,1,1,_,_) =         -9 /       1012 == -0.0088932806 =/= -0.0088934172
     nkd(1,0,0,1,1,0,1,0,0,1,1,0,1) =       -575 /       1128 == -0.5097517730 =/= -0.5097520410
     nke(1,0,0,1,1,0,0,0,1,1,1,0,1) =         -2 /        791 == -0.0025284450 =/= -0.0025287857
     nkd(1,0,0,1,1,0,0,1,0,1,1,0,1) =       -743 /       1476 == -0.5033875339 =/= -0.5033874095
     nkd(1,0,0,1,1,0,0,0,1,1,1,0,1) =       -757 /       1466 == -0.5163710778 =/= -0.5163712262
     nkd(1,0,0,1,1,0,0,0,0,1,1,0,1) =       -488 /       1483 == -0.3290627107 =/= -0.3290623722
     nkd(1,1,1,0,0,0,1,1,0,1,1,_,_) =        126 /       1013 == 0.1243830207 =/= 0.1243830702
     nkd(1,1,1,0,0,0,1,1,0,1,0,1,1) =        126 /       1013 == 0.1243830207 =/= 0.1243830702
     nke(1,0,0,1,1,1,0,0,1,1,0,1,1) =       -476 /       1331 == -0.3576258452 =/= -0.3576253973
     nkd(1,0,0,1,1,1,0,1,0,1,0,0,1) =       -206 /       1247 == -0.1651964715 =/= -0.1651960590
     nkd(1,1,1,0,0,0,1,1,0,1,0,1,0) =        126 /       1013 == 0.1243830207 =/= 0.1243830702
     nke(1,0,0,1,1,1,0,0,1,1,0,1,0) =         -9 /       1012 == -0.0088932806 =/= -0.0088934172
     nkd(1,0,0,1,1,0,1,1,0,1,0,0,1) =       -929 /       1468 == -0.6328337875 =/= -0.6328338543
     nkd(1,1,1,0,0,0,1,1,0,1,0,0,1) =        126 /       1013 == 0.1243830207 =/= 0.1243830702
     nke(1,0,0,1,1,1,0,0,1,1,0,0,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,1,1,0,0,1,0,0,1,1,0,0,1) =        -90 /        919 == -0.0979325354 =/= -0.0979327082
     nkd(1,1,1,0,0,0,1,1,0,1,0,0,0) =        126 /       1013 == 0.1243830207 =/= 0.1243830702
     nke(1,0,0,1,1,1,0,0,1,1,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,1,1,0,0,1,0,0,0,1,0,0,1) =         53 /       1055 == 0.0502369668 =/= 0.0502370118
     nkd(1,0,0,1,1,1,0,0,1,1,0,0,1) =       -220 /       1019 == -0.2158979392 =/= -0.2158981258
     nkd(1,1,1,0,0,0,1,1,0,0,1,1,0) =         -4 /       1331 == -0.0030052592 =/= -0.0030055791
     nke(1,1,1,0,0,1,0,1,0,0,1,0,1) =       -377 /        946 == -0.3985200846 =/= -0.3985200280
     nkd(1,0,0,1,1,0,1,0,1,1,0,0,1) =       -441 /        842 == -0.5237529691 =/= -0.5237524895
     nkd(1,1,1,0,0,0,1,1,0,0,1,0,1) =         -4 /       1331 == -0.0030052592 =/= -0.0030055791
     nke(1,1,1,0,0,1,0,0,1,0,1,0,1) =        -90 /        919 == -0.0979325354 =/= -0.0979327082
     nkd(1,0,0,1,1,0,0,0,1,1,0,0,1) =       -437 /       1354 == -0.3227474151 =/= -0.3227477281
     nkd(1,1,1,0,0,0,1,1,0,0,1,0,0) =         -4 /       1331 == -0.0030052592 =/= -0.0030055791
     nkd(1,1,1,0,0,0,1,1,0,0,0,1,1) =       -167 /       1238 == -0.1348949919 =/= -0.1348952110
     nke(1,0,0,1,1,0,0,0,1,1,0,1,1) =       -119 /       1210 == -0.0983471074 =/= -0.0983471162
     nkd(1,0,0,1,1,1,0,0,0,1,0,0,1) =       -202 /        965 == -0.2093264249 =/= -0.2093260265
     nkd(1,1,1,0,0,0,1,1,0,0,0,1,0) =       -167 /       1238 == -0.1348949919 =/= -0.1348952110
     nke(1,1,1,0,0,1,0,1,0,0,0,0,1) =       -437 /       1470 == -0.2972789116 =/= -0.2972791780
     nkd(1,0,0,1,1,0,1,0,0,1,0,0,1) =       -109 /       1174 == -0.0928449744 =/= -0.0928453290
     nkd(1,1,1,0,0,0,1,1,0,0,0,0,1) =       -167 /       1238 == -0.1348949919 =/= -0.1348952110
     nke(1,0,0,1,1,0,0,0,1,1,0,0,1) =       -359 /       1248 == -0.2876602564 =/= -0.2876600852
     nke(1,1,1,0,0,1,0,0,1,0,0,0,1) =        -90 /        919 == -0.0979325354 =/= -0.0979327082
     nkd(1,0,0,1,1,0,0,0,0,1,0,0,1) =       -380 /       1129 == -0.3365810452 =/= -0.3365806724
     nkd(1,1,1,0,0,0,1,1,0,0,0,0,0) =       -167 /       1238 == -0.1348949919 =/= -0.1348952110
     nke(1,0,0,1,1,0,0,0,1,1,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,1,1,0,0,0,1,0,1,1,1,_,_) =        -33 /        857 == -0.0385064177 =/= -0.0385068387
     nke(1,0,0,1,1,1,0,0,1,0,1,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,0,1,1,1,0,1,0,0,1,0,1) =       -417 /       1336 == -0.3121257485 =/= -0.3121255886
     nkd(1,1,1,0,0,0,1,0,1,1,0,1,0) =        -33 /        857 == -0.0385064177 =/= -0.0385068387
     nke(1,0,0,1,1,1,0,0,1,0,1,1,0) =       -359 /       1417 == -0.2533521524 =/= -0.2533524578
     nkd(1,1,1,0,0,0,1,0,1,1,0,0,1) =        -33 /        857 == -0.0385064177 =/= -0.0385068387
     nke(1,0,0,1,1,1,0,0,1,0,1,0,1) =       -143 /        794 == -0.1801007557 =/= -0.1801007663
     nkd(1,1,1,0,0,0,1,0,1,1,0,0,0) =        -33 /        857 == -0.0385064177 =/= -0.0385068387
     nke(1,0,0,1,1,1,0,0,1,0,1,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,1,1,0,0,0,1,0,0,1,0,0,1) =       -536 /       1443 == -0.3714483714 =/= -0.3714484496
     nkd(1,1,1,0,0,0,1,0,1,0,1,1,0) =       -215 /       1296 == -0.1658950617 =/= -0.1658954879
     nkd(1,0,0,1,1,0,1,0,1,0,1,0,1) =       -242 /       1169 == -0.2070145423 =/= -0.2070146006
     nkd(1,1,1,0,0,0,1,0,1,0,1,0,1) =       -215 /       1296 == -0.1658950617 =/= -0.1658954879
     nkd(1,1,1,0,0,0,1,0,1,0,1,0,0) =       -215 /       1296 == -0.1658950617 =/= -0.1658954879
     nke(1,1,1,0,0,0,1,0,0,0,1,0,1) =       -321 /       1217 == -0.2637633525 =/= -0.2637634366
     nke(1,0,0,1,1,0,0,0,1,0,1,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,1,1,0,0,0,1,0,1,0,0,1,0) =       -215 /       1296 == -0.1658950617 =/= -0.1658954879
     nkd(1,1,1,0,0,0,1,0,1,0,0,0,1) =       -215 /       1296 == -0.1658950617 =/= -0.1658954879
     nke(1,0,0,1,1,0,0,0,1,0,1,0,1) =         -2 /        791 == -0.0025284450 =/= -0.0025287857
     nkd(1,1,1,0,0,0,1,0,1,0,0,0,0) =       -215 /       1296 == -0.1658950617 =/= -0.1658954879
     nke(1,0,0,1,1,0,0,0,1,0,1,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,1,1,0,0,0,1,0,0,0,0,0,1) =       -321 /       1217 == -0.2637633525 =/= -0.2637634366
     nkd(1,1,1,0,0,0,1,0,0,1,1,1,1) =        -33 /        857 == -0.0385064177 =/= -0.0385068387
     nke(1,1,1,0,0,0,0,1,0,1,1,0,1) =       -277 /        973 == -0.2846865365 =/= -0.2846868199
     nke(1,1,1,0,0,0,0,0,1,1,1,0,1) =       -368 /       1147 == -0.3208369660 =/= -0.3208373890
     nke(1,0,0,1,1,1,0,0,1,0,0,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,1,1,0,0,0,0,1,1,1,0,0,1) =       -779 /       1316 == -0.5919452888 =/= -0.5919455545
     nkd(1,0,0,1,1,1,0,1,0,0,0,0,1) =       -466 /       1321 == -0.3527630583 =/= -0.3527630277
     nke(1,0,0,1,1,1,0,0,1,0,0,1,0) =         -9 /       1012 == -0.0088932806 =/= -0.0088934172
     nke(1,1,1,0,0,0,0,0,0,1,0,0,1) =       -211 /        798 == -0.2644110276 =/= -0.2644112953
     nke(1,1,1,0,0,0,0,0,0,0,1,0,1) =       -211 /        798 == -0.2644110276 =/= -0.2644112953
     nke(1,0,0,1,1,0,0,0,1,0,0,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,0,1,1,0,0,0,1,0,0,0,1) =         -7 /       1468 == -0.0047683924 =/= -0.0047687255
     nke(1,0,0,1,1,0,0,0,1,0,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,1,1,0,0,0,0,0,0,0,0,0,1) =       -211 /        798 == -0.2644110276 =/= -0.2644112953
     nke(1,0,0,1,1,1,0,0,0,1,1,1,1) =         46 /       1493 == 0.0308104488 =/= 0.0308102191
     nkd(1,1,1,0,0,0,0,1,1,1,0,1,0) =       -169 /       1039 == -0.1626564004 =/= -0.1626561944
     nke(1,0,0,1,1,1,0,0,0,1,1,1,0) =       -337 /        880 == -0.3829545455 =/= -0.3829541408
     nkd(1,1,1,0,0,0,0,1,1,1,0,0,1) =       -376 /        983 == -0.3825025432 =/= -0.3825022752
     nke(1,0,0,1,1,1,0,0,0,1,1,0,1) =         46 /       1493 == 0.0308104488 =/= 0.0308102191
     nkd(1,1,1,0,0,0,0,1,1,1,0,0,0) =       -169 /       1039 == -0.1626564004 =/= -0.1626561944
     nkd(1,1,1,0,0,0,0,1,1,0,1,1,1) =       -653 /        966 == -0.6759834369 =/= -0.6759831968
     nkd(1,1,1,0,0,0,0,1,1,0,1,0,0) =       -169 /       1039 == -0.1626564004 =/= -0.1626561944
     nkd(1,1,1,0,0,0,0,1,1,0,0,1,1) =       -883 /       1365 == -0.6468864469 =/= -0.6468865324
     nke(1,0,0,1,1,0,0,0,0,1,1,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,1,1,0,0,0,0,1,1,0,0,1,0) =       -150 /       1201 == -0.1248959201 =/= -0.1248961342
     nkd(1,1,1,0,0,0,0,1,1,0,0,0,1) =       -150 /       1201 == -0.1248959201 =/= -0.1248961342
     nkd(1,0,0,1,1,0,0,0,0,1,1,0,0) =       -488 /       1483 == -0.3290627107 =/= -0.3290623722
     nke(1,0,0,1,1,0,0,0,0,1,1,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,1,1,0,0,0,0,1,0,1,1,1,1) =       -271 /       1141 == -0.2375109553 =/= -0.2375110460
     nkd(1,1,1,0,0,0,0,1,0,1,1,1,0) =        -33 /        857 == -0.0385064177 =/= -0.0385068387
     nkd(1,1,1,0,0,0,0,1,0,1,1,0,1) =        -33 /        857 == -0.0385064177 =/= -0.0385068387
     nkd(1,0,0,1,1,0,0,1,1,1,0,0,0) =       -569 /       1251 == -0.4548361311 =/= -0.4548363867
     nkd(1,1,1,0,0,0,0,1,0,1,1,0,0) =        -33 /        857 == -0.0385064177 =/= -0.0385068387
     nkd(1,0,0,1,1,1,0,1,0,1,0,0,0) =       -206 /       1247 == -0.1651964715 =/= -0.1651960590
     nkd(1,1,1,0,0,0,0,1,0,1,0,1,0) =       -305 /       1267 == -0.2407261247 =/= -0.2407259394
     nke(1,1,1,0,0,1,0,1,0,1,0,0,0) =       -353 /       1494 == -0.2362784471 =/= -0.2362779778
     nke(1,0,0,1,1,1,0,0,0,1,0,0,1) =         46 /       1493 == 0.0308104488 =/= 0.0308102191
     nke(1,1,1,0,0,1,0,0,1,1,0,0,0) =       -249 /        914 == -0.2724288840 =/= -0.2724285469
     nkd(1,0,0,1,1,0,0,1,0,1,0,0,0) =       -380 /       1129 == -0.3365810452 =/= -0.3365806724
     nke(1,0,0,1,1,1,0,0,0,1,0,0,0) =         46 /       1493 == 0.0308104488 =/= 0.0308102191
     nkd(1,0,0,1,1,1,0,0,1,1,0,0,0) =       -220 /       1019 == -0.2158979392 =/= -0.2158981258
     nke(1,1,1,0,0,1,0,1,0,0,1,0,0) =       -353 /       1494 == -0.2362784471 =/= -0.2362779778
     nkd(1,0,0,1,1,0,1,0,1,1,0,0,0) =       -130 /       1307 == -0.0994644223 =/= -0.0994645142
     nkd(1,1,1,0,0,0,0,1,0,0,1,0,1) =       -276 /       1019 == -0.2708537782 =/= -0.2708541395
     nke(1,1,1,0,0,1,0,0,1,0,1,0,0) =       -249 /        914 == -0.2724288840 =/= -0.2724285469
     nkd(1,1,1,0,0,0,0,1,0,0,0,1,1) =       -178 /       1223 == -0.1455437449 =/= -0.1455439929
     nke(1,0,0,1,1,0,0,0,0,1,0,1,1) =        -72 /        821 == -0.0876979294 =/= -0.0876983342
     nkd(1,0,0,1,1,1,0,0,0,1,0,0,0) =       -275 /       1059 == -0.2596789424 =/= -0.2596784447
     nkd(1,1,1,0,0,0,0,1,0,0,0,1,0) =       -178 /       1223 == -0.1455437449 =/= -0.1455439929
     nke(1,1,1,0,0,1,0,1,0,0,0,0,0) =       -353 /       1494 == -0.2362784471 =/= -0.2362779778
     nkd(1,0,0,1,1,0,1,0,0,1,0,0,0) =       -269 /       1395 == -0.1928315412 =/= -0.1928320078
     nkd(1,1,1,0,0,0,0,1,0,0,0,0,1) =       -178 /       1223 == -0.1455437449 =/= -0.1455439929
     nke(1,0,0,1,1,0,0,0,0,1,0,0,1) =         -2 /        791 == -0.0025284450 =/= -0.0025287857
     nke(1,1,1,0,0,1,0,0,1,0,0,0,0) =       -249 /        914 == -0.2724288840 =/= -0.2724285469
     nkd(1,0,0,1,1,0,0,0,0,1,0,0,0) =       -380 /       1129 == -0.3365810452 =/= -0.3365806724
     nkd(1,1,1,0,0,0,0,1,0,0,0,0,0) =       -178 /       1223 == -0.1455437449 =/= -0.1455439929
     nke(1,0,0,1,1,0,0,0,0,1,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,1,1,0,0,0,0,0,1,1,1,1,1) =       -182 /        863 == -0.2108922364 =/= -0.2108918609
     nkd(1,1,1,0,0,0,0,0,1,1,1,1,0) =       -364 /       1487 == -0.2447881641 =/= -0.2447885095
     nkd(1,1,1,0,0,0,0,0,1,1,1,0,1) =        -33 /        857 == -0.0385064177 =/= -0.0385068387
     nke(1,1,1,0,0,0,1,0,0,1,1,0,0) =       -343 /       1206 == -0.2844112769 =/= -0.2844112953
     nkd(1,1,1,0,0,0,0,0,1,1,0,1,1) =       -169 /       1039 == -0.1626564004 =/= -0.1626561944
     nke(1,0,0,1,1,1,0,0,0,0,1,1,1) =        -43 /        978 == -0.0439672802 =/= -0.0439669476
     nkd(1,0,0,1,1,1,0,1,0,0,1,0,0) =       -417 /       1336 == -0.3121257485 =/= -0.3121255886
     nkd(1,1,1,0,0,0,0,0,1,1,0,1,0) =       -169 /       1039 == -0.1626564004 =/= -0.1626561944
     nke(1,0,0,1,1,1,0,0,0,0,1,1,0) =       -151 /       1391 == -0.1085549964 =/= -0.1085552434
     nkd(1,1,1,0,0,0,0,0,1,1,0,0,1) =       -169 /       1039 == -0.1626564004 =/= -0.1626561944
     nke(1,0,0,1,1,1,0,0,0,0,1,0,1) =         46 /       1493 == 0.0308104488 =/= 0.0308102191
     nke(1,1,1,0,0,0,1,0,1,1,0,0,0) =       -249 /        914 == -0.2724288840 =/= -0.2724285469
     nkd(1,1,1,0,0,0,0,0,1,1,0,0,0) =       -169 /       1039 == -0.1626564004 =/= -0.1626561944
     nke(1,0,0,1,1,1,0,0,0,0,1,0,0) =         46 /       1493 == 0.0308104488 =/= 0.0308102191
     nke(1,1,1,0,0,0,1,0,0,1,0,0,0) =       -311 /       1091 == -0.2850595784 =/= -0.2850591540
     nkd(1,1,1,0,0,0,0,0,1,0,1,1,0) =       -169 /       1039 == -0.1626564004 =/= -0.1626561944
     nkd(1,0,0,1,1,0,1,0,1,0,1,0,0) =       -271 /       1305 == -0.2076628352 =/= -0.2076624593
     nkd(1,1,1,0,0,0,0,0,1,0,1,0,1) =       -169 /       1039 == -0.1626564004 =/= -0.1626561944
     nke(1,1,1,0,0,0,1,0,1,0,1,0,0) =       -249 /        914 == -0.2724288840 =/= -0.2724285469
     nkd(1,1,1,0,0,0,0,0,1,0,1,0,0) =       -169 /       1039 == -0.1626564004 =/= -0.1626561944
     nke(1,1,1,0,0,0,1,0,0,0,1,0,0) =       -343 /       1206 == -0.2844112769 =/= -0.2844112953
     nke(1,0,0,1,1,0,0,0,0,0,1,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,0,1,1,1,0,0,0,0,1,0,0) =       -430 /       1207 == -0.3562551781 =/= -0.3562555560
     nkd(1,1,1,0,0,0,0,0,1,0,0,1,0) =       -231 /        905 == -0.2552486188 =/= -0.2552485525
     nkd(1,1,1,0,0,0,0,0,1,0,0,0,1) =       -150 /       1201 == -0.1248959201 =/= -0.1248961342
     nke(1,1,1,0,0,0,1,0,1,0,0,0,0) =       -249 /        914 == -0.2724288840 =/= -0.2724285469
     nkd(1,1,1,0,0,0,0,0,1,0,0,0,0) =       -217 /       1494 == -0.1452476573 =/= -0.1452476292
     nke(1,0,0,1,1,0,0,0,0,0,1,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,1,1,0,0,0,1,0,0,0,0,0,0) =       -343 /       1206 == -0.2844112769 =/= -0.2844112953
     nkd(1,1,1,0,0,0,0,0,0,1,1,1,1) =        -33 /        857 == -0.0385064177 =/= -0.0385068387
     nkd(1,1,1,0,0,0,0,0,0,1,1,1,0) =       -300 /       1327 == -0.2260738508 =/= -0.2260738074
     nkd(1,1,1,0,0,0,0,0,0,1,1,0,0) =        -33 /        857 == -0.0385064177 =/= -0.0385068387
     nke(1,1,1,0,0,0,0,0,0,1,1,0,0) =       -211 /        798 == -0.2644110276 =/= -0.2644112953
     nke(1,0,0,1,1,1,0,0,0,0,0,1,1) =         46 /       1493 == 0.0308104488 =/= 0.0308102191
     nke(1,1,1,0,0,0,0,1,1,1,0,0,0) =       -409 /        937 == -0.4364994664 =/= -0.4364995582
     nkd(1,0,0,1,1,1,0,1,0,0,0,0,0) =       -466 /       1321 == -0.3527630583 =/= -0.3527630277
     nke(1,0,0,1,1,1,0,0,0,0,0,0,1) =         46 /       1493 == 0.0308104488 =/= 0.0308102191
     nke(1,1,1,0,0,0,0,0,1,1,0,0,0) =       -201 /       1129 == -0.1780336581 =/= -0.1780333426
     nke(1,0,0,1,1,1,0,0,0,0,0,0,0) =         46 /       1493 == 0.0308104488 =/= 0.0308102191
     nke(1,1,1,0,0,0,0,0,0,1,0,0,0) =       -211 /        798 == -0.2644110276 =/= -0.2644112953
     nke(1,1,1,0,0,0,0,0,0,0,1,0,0) =       -211 /        798 == -0.2644110276 =/= -0.2644112953
     nkd(1,1,1,0,0,0,0,0,0,0,0,1,1) =       -178 /       1223 == -0.1455437449 =/= -0.1455439929
     nke(1,0,0,1,1,0,0,0,0,0,0,1,1) =        -27 /       1013 == -0.0266535044 =/= -0.0266534774
     nkd(1,1,1,0,0,0,0,0,0,0,0,1,0) =       -178 /       1223 == -0.1455437449 =/= -0.1455439929
     nke(1,0,0,1,1,0,0,0,0,0,0,0,1) =         -2 /        791 == -0.0025284450 =/= -0.0025287857
     nkd(1,1,1,0,0,0,0,0,0,0,0,0,0) =       -178 /       1223 == -0.1455437449 =/= -0.1455439929
     nke(1,0,0,1,1,0,0,0,0,0,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,1,1,0,0,0,0,0,0,0,0,0,0) =       -211 /        798 == -0.2644110276 =/= -0.2644112953
     nkd(1,0,1,1,0,1,1,_,_,_,_,_,_) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nkd(1,1,0,0,1,1,1,_,_,_,_,_,_) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,1,1,_,_,_,_,_,_) =        -89 /       1444 == -0.0616343490 =/= -0.0616338912
     nke(1,1,0,1,0,1,1,_,_,_,_,_,_) =        -77 /        958 == -0.0803757829 =/= -0.0803761590
     nke(1,0,1,0,1,1,0,1,1,_,_,_,_) =        302 /       1181 == 0.2557154953 =/= 0.2557157177
     nke(1,1,0,1,0,1,0,1,1,_,_,_,_) =       -216 /       1265 == -0.1707509881 =/= -0.1707512629
     nke(1,0,1,0,1,0,0,1,1,1,0,1,1) =       -200 /        981 == -0.2038735984 =/= -0.2038738311
     nke(1,1,0,1,0,0,1,1,1,_,_,_,_) =       -216 /       1265 == -0.1707509881 =/= -0.1707512629
     nke(1,0,1,0,1,0,0,1,1,0,1,1,1) =       -200 /        981 == -0.2038735984 =/= -0.2038738311
     nke(1,1,0,1,0,0,0,1,1,0,1,1,1) =       -375 /       1001 == -0.3746253746 =/= -0.3746250940
     nke(1,1,0,1,0,1,0,1,0,1,1,_,_) =        -77 /        958 == -0.0803757829 =/= -0.0803761590
     nke(1,1,0,1,0,0,1,1,0,1,1,_,_) =       -216 /       1265 == -0.1707509881 =/= -0.1707512629
     nke(1,1,0,1,0,0,0,1,0,1,1,1,1) =       -172 /        957 == -0.1797283177 =/= -0.1797283003
     nkd(1,0,1,1,0,1,0,1,0,1,1,_,_) =       -137 /       1252 == -0.1094249201 =/= -0.1094250781
     nkd(1,0,1,1,0,1,0,0,1,1,1,_,_) =         88 /       1415 == 0.0621908127 =/= 0.0621908756
     nke(1,1,0,1,0,1,0,1,0,0,1,1,1) =        -94 /       1179 == -0.0797285835 =/= -0.0797283003
     nke(1,0,1,0,1,0,0,1,1,1,0,1,0) =       -328 /       1491 == -0.2199865862 =/= -0.2199866788
     nke(1,1,0,1,0,1,0,1,0,0,0,1,1) =       -285 /        977 == -0.2917093142 =/= -0.2917090703
     nke(1,0,1,0,1,0,0,1,1,0,1,1,0) =       -328 /       1491 == -0.2199865862 =/= -0.2199866788
     nke(1,0,1,0,1,0,0,1,1,0,0,1,0) =       -328 /       1491 == -0.2199865862 =/= -0.2199866788
     nke(1,1,0,1,0,0,1,0,1,1,1,_,_) =       -172 /        957 == -0.1797283177 =/= -0.1797283003
     nke(1,1,0,1,0,0,0,0,1,1,1,1,1) =       -172 /        957 == -0.1797283177 =/= -0.1797283003
     nkd(1,0,1,1,0,0,1,1,0,1,1,_,_) =       -137 /       1252 == -0.1094249201 =/= -0.1094250781
     nke(1,1,0,1,0,1,0,0,1,1,0,1,1) =       -747 /       1085 == -0.6884792627 =/= -0.6884794049
     nkd(1,0,1,1,0,0,1,1,0,0,1,1,1) =       -938 /       1439 == -0.6518415566 =/= -0.6518418866
     nkd(1,0,1,1,0,0,1,0,1,1,1,_,_) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nkd(1,0,1,1,0,0,1,0,1,0,1,1,1) =        177 /       1358 == 0.1303387334 =/= 0.1303390971
     nkd(1,0,1,1,0,0,1,0,0,0,1,1,1) =        177 /       1358 == 0.1303387334 =/= 0.1303390971
     nke(1,1,0,1,0,1,0,0,0,1,1,1,1) =       -172 /        957 == -0.1797283177 =/= -0.1797283003
     nke(1,1,0,1,0,0,1,0,0,1,1,1,1) =       -277 /       1095 == -0.2529680365 =/= -0.2529685171
     nke(1,1,0,1,0,0,0,0,0,1,1,1,1) =       -172 /        957 == -0.1797283177 =/= -0.1797283003
     nkd(1,0,1,1,0,0,0,1,0,1,1,1,1) =       -829 /       1340 == -0.6186567164 =/= -0.6186565373
     nkd(1,0,1,1,0,0,0,1,0,0,1,1,1) =       -829 /       1302 == -0.6367127496 =/= -0.6367129611
     nke(1,1,0,1,0,0,1,0,0,1,0,1,1) =        -65 /       1043 == -0.0623202301 =/= -0.0623197352
     nkd(1,0,1,1,0,0,0,1,0,0,0,1,1) =       -613 /        902 == -0.6796008869 =/= -0.6796007597
     nke(1,0,1,0,1,0,0,1,1,1,0,0,0) =       -188 /       1421 == -0.1323011963 =/= -0.1323016658
     nkd(1,0,1,1,0,0,0,0,0,0,1,1,1) =       -319 /       1461 == -0.2183436003 =/= -0.2183431594
     nke(1,1,0,1,0,0,1,0,0,0,0,1,1) =        -65 /       1043 == -0.0623202301 =/= -0.0623197352
     nkd(1,0,1,1,0,0,0,0,0,0,0,1,1) =       -291 /        998 == -0.2915831663 =/= -0.2915833762
     nke(1,0,1,0,1,0,0,1,1,0,0,0,0) =       -188 /       1421 == -0.1323011963 =/= -0.1323016658
     nkd(1,1,0,0,1,1,0,1,1,_,_,_,_) =       -226 /        839 == -0.2693682956 =/= -0.2693684960
     nke(1,0,1,0,1,1,0,1,0,1,1,_,_) =       -224 /       1453 == -0.1541637990 =/= -0.1541636002
     nke(1,0,1,0,1,0,1,1,0,1,1,_,_) =       -275 /       1411 == -0.1948972360 =/= -0.1948967937
     nke(1,0,1,0,1,0,0,1,0,1,1,1,1) =       -275 /       1411 == -0.1948972360 =/= -0.1948967937
     nkd(1,0,1,1,0,0,1,0,0,1,1,1,0) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nke(1,0,1,0,1,0,0,1,0,1,1,0,1) =       -275 /       1411 == -0.1948972360 =/= -0.1948967937
     nkd(1,0,1,1,0,0,0,1,0,1,1,1,0) =       -137 /       1252 == -0.1094249201 =/= -0.1094250781
     nkd(1,0,1,1,0,0,0,0,1,1,1,1,0) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nke(1,0,1,0,1,0,0,1,0,1,1,0,0) =       -151 /       1194 == -0.1264656616 =/= -0.1264652660
     nkd(1,1,0,0,1,1,0,1,0,1,1,_,_) =       -226 /        839 == -0.2693682956 =/= -0.2693684960
     nkd(1,1,0,0,1,1,0,1,0,1,0,1,1) =       -225 /       1024 == -0.2197265625 =/= -0.2197265857
     nke(1,0,1,0,1,1,0,1,0,1,0,1,1) =       -224 /       1453 == -0.1541637990 =/= -0.1541636002
     nkd(1,1,0,0,1,1,0,1,0,1,0,1,0) =        -95 /        834 == -0.1139088729 =/= -0.1139091784
     nke(1,0,1,0,1,1,0,1,0,1,0,1,0) =       -224 /       1453 == -0.1541637990 =/= -0.1541636002
     nkd(1,1,0,0,1,1,0,1,0,1,0,0,1) =        -95 /        834 == -0.1139088729 =/= -0.1139091784
     nke(1,0,1,0,1,1,0,1,0,1,0,0,1) =       -224 /       1453 == -0.1541637990 =/= -0.1541636002
     nkd(1,1,0,0,1,1,0,1,0,1,0,0,0) =        -95 /        834 == -0.1139088729 =/= -0.1139091784
     nke(1,0,1,0,1,1,0,1,0,1,0,0,0) =       -224 /       1453 == -0.1541637990 =/= -0.1541636002
     nke(1,1,0,1,0,1,0,0,0,1,0,1,0) =        -97 /       1192 == -0.0813758389 =/= -0.0813755127
     nkd(1,1,0,0,1,1,0,1,0,0,1,1,1) =       -153 /        877 == -0.1744583808 =/= -0.1744583811
     nke(1,0,1,0,1,0,1,1,0,1,0,1,1) =       -281 /       1409 == -0.1994322214 =/= -0.1994318047
     nkd(1,1,0,0,1,1,0,1,0,0,1,1,0) =       -153 /        877 == -0.1744583808 =/= -0.1744583811
     nke(1,0,1,0,1,0,1,1,0,1,0,1,0) =       -173 /       1010 == -0.1712871287 =/= -0.1712870125
     nke(1,1,0,1,0,1,0,1,0,0,1,1,0) =        -77 /        958 == -0.0803757829 =/= -0.0803761590
     nkd(1,1,0,0,1,1,0,1,0,0,1,0,1) =       -153 /        877 == -0.1744583808 =/= -0.1744583811
     nkd(1,1,0,0,1,1,0,1,0,0,1,0,0) =       -153 /        877 == -0.1744583808 =/= -0.1744583811
     nke(1,1,0,1,0,1,0,0,0,0,1,1,0) =        -83 /       1108 == -0.0749097473 =/= -0.0749102468
     nkd(1,1,0,0,1,1,0,1,0,0,0,1,1) =       -233 /        999 == -0.2332332332 =/= -0.2332329627
     nke(1,0,1,0,1,0,0,1,0,1,0,1,1) =       -137 /        974 == -0.1406570842 =/= -0.1406572231
     nkd(1,1,0,0,1,1,0,1,0,0,0,1,0) =       -251 /       1139 == -0.2203687445 =/= -0.2203689049
     nke(1,1,0,1,0,1,0,1,0,0,0,1,0) =        -77 /        958 == -0.0803757829 =/= -0.0803761590
     nkd(1,1,0,0,1,1,0,1,0,0,0,0,1) =       -251 /       1139 == -0.2203687445 =/= -0.2203689049
     nke(1,0,1,0,1,0,0,1,0,1,0,0,1) =       -275 /       1411 == -0.1948972360 =/= -0.1948967937
     nke(1,1,0,1,0,1,0,0,1,0,0,1,0) =       -247 /        848 == -0.2912735849 =/= -0.2912739551
     nkd(1,0,1,1,0,0,0,0,0,1,0,1,0) =       -291 /        998 == -0.2915831663 =/= -0.2915833762
     nkd(1,1,0,0,1,1,0,1,0,0,0,0,0) =       -251 /       1139 == -0.2203687445 =/= -0.2203689049
     nkd(1,1,0,0,1,1,0,0,1,1,1,_,_) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,0,1,1,0,0,0,1,1,0,1,1,0) =       -110 /        791 == -0.1390644753 =/= -0.1390648782
     nke(1,1,0,1,0,0,1,0,0,1,1,1,0) =       -304 /       1253 == -0.2426177175 =/= -0.2426182092
     nkd(1,1,0,0,1,1,0,0,1,1,0,1,1) =       -225 /       1024 == -0.2197265625 =/= -0.2197265857
     nke(1,0,1,0,1,1,0,1,0,0,1,1,1) =       -224 /       1453 == -0.1541637990 =/= -0.1541636002
     nkd(1,1,0,0,1,1,0,0,1,1,0,1,0) =        -59 /       1252 == -0.0471246006 =/= -0.0471248632
     nke(1,0,1,0,1,1,0,1,0,0,1,1,0) =       -224 /       1453 == -0.1541637990 =/= -0.1541636002
     nke(1,1,0,1,0,0,1,1,0,1,0,1,0) =       -216 /       1265 == -0.1707509881 =/= -0.1707512629
     nkd(1,1,0,0,1,1,0,0,1,1,0,0,1) =         71 /       1280 == 0.0554687500 =/= 0.0554688139
     nke(1,0,1,0,1,1,0,1,0,0,1,0,1) =       -224 /       1453 == -0.1541637990 =/= -0.1541636002
     nkd(1,0,1,1,0,0,0,1,0,0,1,1,0) =       -269 /       1411 == -0.1906449327 =/= -0.1906448252
     nke(1,0,1,0,1,1,0,1,0,0,1,0,0) =       -224 /       1453 == -0.1541637990 =/= -0.1541636002
     nke(1,1,0,1,0,0,1,0,0,1,0,1,0) =       -304 /       1253 == -0.2426177175 =/= -0.2426182092
     nkd(1,1,0,0,1,1,0,0,1,0,1,1,1) =       -197 /       1013 == -0.1944718657 =/= -0.1944717023
     nkd(1,0,1,1,0,1,0,0,1,0,1,1,0) =       -186 /       1037 == -0.1793635487 =/= -0.1793633522
     nkd(1,1,0,0,1,1,0,0,1,0,1,1,0) =         -6 /       1181 == -0.0050804403 =/= -0.0050803888
     nke(1,0,1,0,1,0,1,1,0,0,1,1,0) =       -173 /       1010 == -0.1712871287 =/= -0.1712870125
     nkd(1,0,1,1,0,0,1,0,1,0,1,1,0) =        177 /       1358 == 0.1303387334 =/= 0.1303390971
     nkd(1,1,0,0,1,1,0,0,1,0,1,0,1) =         -6 /       1181 == -0.0050804403 =/= -0.0050803888
     nke(1,0,1,0,1,0,1,1,0,0,1,0,1) =       -275 /       1411 == -0.1948972360 =/= -0.1948967937
     nkd(1,1,0,0,1,1,0,0,1,0,1,0,0) =         -6 /       1181 == -0.0050804403 =/= -0.0050803888
     nkd(1,1,0,0,1,1,0,0,1,0,0,1,1) =       -233 /        999 == -0.2332332332 =/= -0.2332329627
     nke(1,0,1,0,1,0,0,1,0,0,1,1,1) =       -137 /        974 == -0.1406570842 =/= -0.1406572231
     nkd(1,0,1,1,0,0,1,0,0,0,1,1,0) =        177 /       1358 == 0.1303387334 =/= 0.1303390971
     nke(1,0,1,0,1,0,0,1,0,0,1,0,1) =       -275 /       1411 == -0.1948972360 =/= -0.1948967937
     nkd(1,0,1,1,0,0,0,0,0,0,1,1,0) =       -319 /       1461 == -0.2183436003 =/= -0.2183431594
     nke(1,1,0,1,0,0,1,0,0,0,0,1,0) =       -304 /       1253 == -0.2426177175 =/= -0.2426182092
     nkd(1,1,0,0,1,1,0,0,0,1,1,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,0,1,1,0,0,0,1,1,0,1) =       -482 /       1363 == -0.3536316948 =/= -0.3536318073
     nke(1,1,0,1,0,0,0,0,1,1,1,1,0) =          4 /       1029 == 0.0038872692 =/= 0.0038871523
     nkd(1,1,0,0,1,1,0,0,0,1,1,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,1,0,0,0,0,0,1,1,1,0) =       -172 /        957 == -0.1797283177 =/= -0.1797283003
     nke(1,0,1,0,1,1,0,1,0,0,0,1,1) =       -224 /       1453 == -0.1541637990 =/= -0.1541636002
     nke(1,0,1,0,1,1,0,1,0,0,0,1,0) =       -224 /       1453 == -0.1541637990 =/= -0.1541636002
     nke(1,0,1,0,1,1,0,1,0,0,0,0,1) =       -224 /       1453 == -0.1541637990 =/= -0.1541636002
     nke(1,0,1,0,1,1,0,1,0,0,0,0,0) =       -224 /       1453 == -0.1541637990 =/= -0.1541636002
     nkd(1,1,0,0,1,1,0,0,0,0,1,1,1) =       -523 /       1432 == -0.3652234637 =/= -0.3652229652
     nkd(1,1,0,0,1,1,0,0,0,0,1,1,0) =       -153 /        877 == -0.1744583808 =/= -0.1744583811
     nkd(1,1,0,0,1,1,0,0,0,0,1,0,1) =       -153 /        877 == -0.1744583808 =/= -0.1744583811
     nke(1,0,1,0,1,0,1,1,0,0,0,0,1) =       -334 /       1387 == -0.2408074982 =/= -0.2408073174
     nke(1,1,0,1,0,0,0,0,1,0,1,1,0) =          4 /       1029 == 0.0038872692 =/= 0.0038871523
     nkd(1,1,0,0,1,1,0,0,0,0,1,0,0) =       -153 /        877 == -0.1744583808 =/= -0.1744583811
     nke(1,0,1,0,1,0,1,1,0,0,0,0,0) =       -240 /       1013 == -0.2369200395 =/= -0.2369201651
     nkd(1,1,0,0,1,1,0,0,0,0,0,1,1) =       -507 /       1255 == -0.4039840637 =/= -0.4039842256
     nke(1,0,1,0,1,0,0,1,0,0,0,1,1) =       -137 /        974 == -0.1406570842 =/= -0.1406572231
     nkd(1,1,0,0,1,1,0,0,0,0,0,1,0) =       -251 /       1139 == -0.2203687445 =/= -0.2203689049
     nkd(1,1,0,0,1,1,0,0,0,0,0,0,1) =       -251 /       1139 == -0.2203687445 =/= -0.2203689049
     nke(1,0,1,0,1,0,0,1,0,0,0,0,1) =       -275 /       1411 == -0.1948972360 =/= -0.1948967937
     nke(1,1,0,1,0,0,0,0,1,0,0,1,0) =          4 /       1029 == 0.0038872692 =/= 0.0038871523
     nkd(1,0,1,1,0,0,0,0,0,0,0,1,0) =       -291 /        998 == -0.2915831663 =/= -0.2915833762
     nkd(1,1,0,0,1,1,0,0,0,0,0,0,0) =       -251 /       1139 == -0.2203687445 =/= -0.2203689049
     nke(1,0,1,0,1,1,0,0,1,1,1,_,_) =       -223 /        754 == -0.2957559682 =/= -0.2957556813
     nke(1,0,1,0,1,0,1,0,1,1,1,_,_) =       -142 /       1019 == -0.1393523062 =/= -0.1393521413
     nke(1,0,1,0,1,0,0,0,1,1,1,1,1) =       -391 /       1162 == -0.3364888124 =/= -0.3364888748
     nkd(1,0,1,1,0,0,1,0,0,1,1,0,1) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nke(1,0,1,0,1,0,0,0,1,1,1,0,1) =       -391 /       1162 == -0.3364888124 =/= -0.3364888748
     nkd(1,0,1,1,0,0,0,1,0,1,1,0,1) =       -137 /       1252 == -0.1094249201 =/= -0.1094250781
     nkd(1,0,1,1,0,1,0,1,0,1,0,0,1) =       -479 /       1376 == -0.3481104651 =/= -0.3481103681
     nke(1,1,0,1,0,1,0,1,0,1,0,0,1) =        -94 /       1179 == -0.0797285835 =/= -0.0797283003
     nke(1,1,0,1,0,1,0,0,1,1,0,0,1) =       -618 /       1481 == -0.4172856178 =/= -0.4172853770
     nkd(1,0,1,1,0,1,0,0,1,1,0,0,1) =         88 /       1415 == 0.0621908127 =/= 0.0621908756
     nkd(1,1,0,0,1,0,1,1,0,0,1,1,0) =       -361 /        752 == -0.4800531915 =/= -0.4800535486
     nke(1,1,0,1,0,1,0,1,0,0,1,0,1) =        -94 /       1179 == -0.0797285835 =/= -0.0797283003
     nke(1,0,1,0,1,0,1,0,1,1,0,0,0) =       -230 /       1027 == -0.2239532619 =/= -0.2239536264
     nkd(1,1,0,0,1,0,1,1,0,0,0,1,1) =        -50 /       1211 == -0.0412881916 =/= -0.0412884633
     nke(1,0,1,0,1,0,0,0,1,1,0,1,1) =       -303 /        911 == -0.3326015368 =/= -0.3326017225
     nkd(1,0,1,1,0,1,0,0,0,1,0,0,1) =        266 /       1483 == 0.1793661497 =/= 0.1793657263
     nke(1,1,0,1,0,1,0,1,0,0,0,0,1) =        -94 /       1179 == -0.0797285835 =/= -0.0797283003
     nkd(1,1,0,0,1,0,1,1,0,0,0,0,1) =        -50 /       1211 == -0.0412881916 =/= -0.0412884633
     nkd(1,0,1,1,0,0,0,0,0,1,0,0,1) =       -365 /       1107 == -0.3297199639 =/= -0.3297195954
     nkd(1,1,0,0,1,0,1,1,0,0,0,0,0) =        -50 /       1211 == -0.0412881916 =/= -0.0412884633
     nkd(1,0,1,1,0,1,0,1,0,0,1,0,1) =       -399 /        911 == -0.4379802415 =/= -0.4379801897
     nkd(1,0,1,1,0,0,0,1,0,0,1,0,1) =       -269 /       1411 == -0.1906449327 =/= -0.1906448252
     nke(1,1,0,1,0,0,1,0,0,1,0,0,1) =        -65 /       1043 == -0.0623202301 =/= -0.0623197352
     nkd(1,0,1,1,0,1,0,0,1,0,1,0,1) =       -413 /       1292 == -0.3196594427 =/= -0.3196597159
     nkd(1,0,1,1,0,0,1,0,1,0,1,0,1) =        177 /       1358 == 0.1303387334 =/= 0.1303390971
     nke(1,0,1,0,1,0,1,0,1,0,1,0,1) =       -142 /       1019 == -0.1393523062 =/= -0.1393521413
     nke(1,1,0,1,0,0,1,0,0,0,1,0,1) =        -65 /       1043 == -0.0623202301 =/= -0.0623197352
     nkd(1,1,0,0,1,0,1,0,1,0,0,1,1) =         23 /       1210 == 0.0190082645 =/= 0.0190079004
     nke(1,0,1,0,1,0,0,0,1,0,1,1,1) =       -343 /        873 == -0.3928980527 =/= -0.3928980862
     nkd(1,0,1,1,0,1,0,0,0,0,1,0,1) =       -288 /       1145 == -0.2515283843 =/= -0.2515282449
     nkd(1,1,0,0,1,0,1,0,1,0,0,1,0) =         23 /       1210 == 0.0190082645 =/= 0.0190079004
     nkd(1,0,1,1,0,0,1,0,0,0,1,0,1) =        177 /       1358 == 0.1303387334 =/= 0.1303390971
     nkd(1,1,0,0,1,0,1,0,1,0,0,0,1) =         23 /       1210 == 0.0190082645 =/= 0.0190079004
     nke(1,0,1,0,1,0,0,0,1,0,1,0,1) =       -391 /       1162 == -0.3364888124 =/= -0.3364888748
     nkd(1,0,1,1,0,0,0,0,0,0,1,0,1) =       -451 /       1379 == -0.3270485859 =/= -0.3270483652
     nkd(1,1,0,0,1,0,1,0,1,0,0,0,0) =         23 /       1210 == 0.0190082645 =/= 0.0190079004
     nke(1,1,0,1,0,0,1,0,0,0,0,0,1) =        -65 /       1043 == -0.0623202301 =/= -0.0623197352
     nkd(1,1,0,0,1,0,1,0,0,1,1,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,0,1,0,1,0,0,1,1,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,1,0,0,0,1,0,1,1,0,1) =       -172 /        957 == -0.1797283177 =/= -0.1797283003
     nkd(1,1,0,0,1,0,1,0,0,1,1,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,1,0,0,0,0,1,1,1,0,1) =       -172 /        957 == -0.1797283177 =/= -0.1797283003
     nkd(1,1,0,0,1,0,1,0,0,1,1,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,1,0,0,0,0,0,1,1,0,1) =        -40 /       1067 == -0.0374882849 =/= -0.0374883604
     nkd(1,1,0,0,1,0,1,0,0,1,0,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,1,0,0,0,1,1,1,0,0,1) =       -321 /        851 == -0.3772032902 =/= -0.3772032076
     nkd(1,1,0,0,1,0,1,0,0,1,0,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,1,0,0,0,1,0,1,0,0,1) =       -259 /       1423 == -0.1820098384 =/= -0.1820100503
     nkd(1,1,0,0,1,0,1,0,0,1,0,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,1,0,0,0,0,1,1,0,0,1) =       -147 /       1294 == -0.1136012365 =/= -0.1136012081
     nkd(1,1,0,0,1,0,1,0,0,1,0,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,1,0,0,1,0,0,0,0) =       -111 /        782 == -0.1419437340 =/= -0.1419435761
     nke(1,1,0,1,0,0,0,0,0,1,0,0,1) =        -40 /       1067 == -0.0374882849 =/= -0.0374883604
     nkd(1,1,0,0,1,0,1,0,0,0,1,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,1,0,0,0,1,0,0,1,0,1) =        -40 /       1067 == -0.0374882849 =/= -0.0374883604
     nke(1,0,1,0,1,0,1,0,1,0,0,0,1) =       -142 /       1019 == -0.1393523062 =/= -0.1393521413
     nke(1,1,0,1,0,0,0,0,1,0,1,0,1) =        -46 /       1369 == -0.0336011687 =/= -0.0336012081
     nkd(1,1,0,0,1,0,1,0,0,0,1,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,1,0,0,0,0,0,0,1,0,1) =        -40 /       1067 == -0.0374882849 =/= -0.0374883604
     nkd(1,1,0,0,1,0,1,0,0,0,0,1,1) =        -23 /        990 == -0.0232323232 =/= -0.0232320395
     nke(1,1,0,1,0,0,0,1,1,0,0,0,1) =        -40 /       1067 == -0.0374882849 =/= -0.0374883604
     nkd(1,0,1,1,0,1,0,0,0,0,0,0,1) =       -135 /       1453 == -0.0929112182 =/= -0.0929114074
     nke(1,1,0,1,0,0,0,1,0,0,0,0,1) =        -40 /       1067 == -0.0374882849 =/= -0.0374883604
     nkd(1,1,0,0,1,0,1,0,0,0,0,0,1) =        -23 /        990 == -0.0232323232 =/= -0.0232320395
     nke(1,0,1,0,1,0,0,0,1,0,0,0,1) =       -391 /       1162 == -0.3364888124 =/= -0.3364888748
     nke(1,1,0,1,0,0,0,0,1,0,0,0,1) =        -46 /       1369 == -0.0336011687 =/= -0.0336012081
     nkd(1,1,0,0,1,0,1,0,0,0,0,0,0) =        -23 /        990 == -0.0232323232 =/= -0.0232320395
     nke(1,0,1,0,1,0,0,0,1,0,0,0,0) =       -506 /       1443 == -0.3506583507 =/= -0.3506581464
     nke(1,1,0,1,0,0,0,0,0,0,0,0,1) =        -40 /       1067 == -0.0374882849 =/= -0.0374883604
     nkd(1,1,0,0,1,0,0,1,1,1,1,_,_) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,1,0,0,0,1,1,1,1) =       -473 /       1383 == -0.3420101229 =/= -0.3420099184
     nkd(1,1,0,0,1,0,0,1,1,1,0,1,0) =       -253 /        848 == -0.2983490566 =/= -0.2983492264
     nke(1,0,1,0,1,1,0,0,0,1,1,1,0) =       -171 /       1366 == -0.1251830161 =/= -0.1251828697
     nkd(1,1,0,0,1,0,0,1,1,1,0,0,1) =       -253 /        848 == -0.2983490566 =/= -0.2983492264
     nke(1,0,1,0,1,1,0,0,0,1,1,0,1) =       -171 /       1366 == -0.1251830161 =/= -0.1251828697
     nke(1,0,1,0,1,1,0,0,0,1,1,0,0) =       -171 /       1366 == -0.1251830161 =/= -0.1251828697
     nkd(1,1,0,0,1,0,0,1,1,0,1,1,1) =       -213 /        818 == -0.2603911980 =/= -0.2603914586
     nke(1,0,1,0,1,0,1,0,0,1,1,1,1) =       -200 /        981 == -0.2038735984 =/= -0.2038738311
     nkd(1,1,0,0,1,0,0,1,1,0,1,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,0,1,0,0,1,1,1,0) =       -565 /       1329 == -0.4251316780 =/= -0.4251316952
     nkd(1,1,0,0,1,0,0,1,1,0,1,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,0,1,0,0,1,1,0,1,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,0,1,0,0,1,1,0,0) =       -435 /       1379 == -0.3154459753 =/= -0.3154459964
     nkd(1,1,0,0,1,0,0,1,1,0,0,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,0,1,0,0,1,1,0,0,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,0,0,0,0,1,1,1,0) =       -287 /       1222 == -0.2348608838 =/= -0.2348607869
     nkd(1,0,1,1,0,0,1,0,0,1,1,0,0) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nkd(1,1,0,0,1,0,0,1,1,0,0,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,0,1,0,0,1,1,0,0,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,0,1,0,0,1,0,1,1,1,1) =       -400 /       1281 == -0.3122560500 =/= -0.3122562946
     nkd(1,1,0,0,1,0,0,1,0,1,1,1,0) =       -226 /        839 == -0.2693682956 =/= -0.2693684960
     nkd(1,1,0,0,1,0,0,1,0,1,1,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,1,0,1,0,0,0,1,1,0,0) =       -172 /        957 == -0.1797283177 =/= -0.1797283003
     nke(1,0,1,0,1,1,0,0,0,1,0,1,1) =       -171 /       1366 == -0.1251830161 =/= -0.1251828697
     nke(1,0,1,0,1,1,0,0,0,1,0,1,0) =       -171 /       1366 == -0.1251830161 =/= -0.1251828697
     nke(1,1,0,1,0,1,0,1,0,1,0,0,0) =        -77 /        958 == -0.0803757829 =/= -0.0803761590
     nke(1,0,1,0,1,1,0,0,0,1,0,0,0) =       -171 /       1366 == -0.1251830161 =/= -0.1251828697
     nke(1,1,0,1,0,1,0,0,0,1,0,0,0) =       -137 /       1343 == -0.1020104244 =/= -0.1020100503
     nkd(1,1,0,0,1,0,0,1,0,0,1,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,0,1,0,0,1,0,1,1) =       -200 /        981 == -0.2038735984 =/= -0.2038738311
     nkd(1,0,1,1,0,1,0,0,1,1,0,0,0) =         88 /       1415 == 0.0621908127 =/= 0.0621908756
     nkd(1,1,0,0,1,0,0,1,0,0,1,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,0,1,0,0,1,0,0,1,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,0,1,0,0,1,0,0,1,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,0,1,0,0,1,0,0,0,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,0,0,0,0,1,0,1,1) =       -200 /        981 == -0.2038735984 =/= -0.2038738311
     nkd(1,1,0,0,1,0,0,1,0,0,0,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,0,0,0,0,1,0,1,0) =       -287 /       1222 == -0.2348608838 =/= -0.2348607869
     nke(1,1,0,1,0,1,0,1,0,0,0,0,0) =        -77 /        958 == -0.0803757829 =/= -0.0803761590
     nkd(1,1,0,0,1,0,0,1,0,0,0,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,0,0,0,0,1,0,0,1) =       -257 /       1237 == -0.2077607114 =/= -0.2077609834
     nkd(1,1,0,0,1,0,0,1,0,0,0,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,0,1,0,0,0,1,1,1,1,1) =       -400 /       1281 == -0.3122560500 =/= -0.3122562946
     nkd(1,1,0,0,1,0,0,0,1,1,1,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,0,1,0,0,0,1,1,1,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,1,0,0,1,0,0,1,1,0,0) =        -97 /        757 == -0.1281373844 =/= -0.1281371424
     nke(1,0,1,0,1,1,0,0,0,0,1,1,1) =       -171 /       1366 == -0.1251830161 =/= -0.1251828697
     nkd(1,0,1,1,0,1,0,1,0,0,1,0,0) =       -437 /       1468 == -0.2976839237 =/= -0.2976838260
     nke(1,0,1,0,1,1,0,0,0,0,1,1,0) =       -171 /       1366 == -0.1251830161 =/= -0.1251828697
     nke(1,1,0,1,0,0,1,1,0,1,0,0,0) =        -53 /        777 == -0.0682110682 =/= -0.0682112663
     nkd(1,1,0,0,1,0,0,0,1,1,0,0,1) =       -469 /       1109 == -0.4229035167 =/= -0.4229032301
     nke(1,0,1,0,1,1,0,0,0,0,1,0,1) =       -171 /       1366 == -0.1251830161 =/= -0.1251828697
     nke(1,1,0,1,0,0,1,0,1,1,0,0,0) =        -95 /       1456 == -0.0652472527 =/= -0.0652472335
     nkd(1,0,1,1,0,0,0,1,0,0,1,0,0) =       -269 /       1411 == -0.1906449327 =/= -0.1906448252
     nke(1,0,1,0,1,1,0,0,0,0,1,0,0) =       -171 /       1366 == -0.1251830161 =/= -0.1251828697
     nke(1,1,0,1,0,0,1,0,0,1,0,0,0) =        -97 /        757 == -0.1281373844 =/= -0.1281371424
     nkd(1,1,0,0,1,0,0,0,1,0,1,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,0,1,0,0,0,1,1,1) =       -200 /        981 == -0.2038735984 =/= -0.2038738311
     nkd(1,0,1,1,0,1,0,0,1,0,1,0,0) =       -186 /       1037 == -0.1793635487 =/= -0.1793633522
     nkd(1,1,0,0,1,0,0,0,1,0,1,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,1,0,0,1,1,0,0,1,0,0) =        -53 /        777 == -0.0682110682 =/= -0.0682112663
     nkd(1,0,1,1,0,0,1,0,1,0,1,0,0) =        177 /       1358 == 0.1303387334 =/= 0.1303390971
     nkd(1,1,0,0,1,0,0,0,1,0,1,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,0,1,0,0,0,1,0,1) =       -393 /        773 == -0.5084087969 =/= -0.5084088421
     nke(1,1,0,1,0,0,1,0,1,0,1,0,0) =        -95 /       1456 == -0.0652472527 =/= -0.0652472335
     nkd(1,1,0,0,1,0,0,0,1,0,1,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,0,1,0,0,0,1,0,0) =       -259 /       1389 == -0.1864650828 =/= -0.1864652660
     nke(1,1,0,1,0,0,1,0,0,0,1,0,0) =        -97 /        757 == -0.1281373844 =/= -0.1281371424
     nkd(1,1,0,0,1,0,0,0,1,0,0,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,0,0,0,0,0,1,1,1) =       -200 /        981 == -0.2038735984 =/= -0.2038738311
     nkd(1,1,0,0,1,0,0,0,1,0,0,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,0,0,0,0,0,1,1,0) =       -287 /       1222 == -0.2348608838 =/= -0.2348607869
     nke(1,1,0,1,0,0,1,1,0,0,0,0,0) =        -53 /        777 == -0.0682110682 =/= -0.0682112663
     nkd(1,0,1,1,0,0,1,0,0,0,1,0,0) =        177 /       1358 == 0.1303387334 =/= 0.1303390971
     nkd(1,1,0,0,1,0,0,0,1,0,0,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,0,0,0,0,0,1,0,1) =       -257 /       1237 == -0.2077607114 =/= -0.2077609834
     nke(1,1,0,1,0,0,1,0,1,0,0,0,0) =       -427 /       1167 == -0.3658954584 =/= -0.3658950923
     nke(1,1,0,1,0,0,1,0,0,0,0,0,0) =        -97 /        757 == -0.1281373844 =/= -0.1281371424
     nkd(1,1,0,0,1,0,0,0,0,1,1,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,0,1,0,0,0,0,1,1,1,0) =       -400 /       1281 == -0.3122560500 =/= -0.3122562946
     nke(1,1,0,1,0,0,0,1,0,1,1,0,0) =        -40 /       1067 == -0.0374882849 =/= -0.0374883604
     nke(1,1,0,1,0,0,0,0,1,1,1,0,0) =        -46 /       1369 == -0.0336011687 =/= -0.0336012081
     nkd(1,1,0,0,1,0,0,0,0,1,1,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,1,0,0,0,0,0,1,1,0,0) =        -40 /       1067 == -0.0374882849 =/= -0.0374883604
     nkd(1,1,0,0,1,0,0,0,0,1,0,1,1) =       -411 /       1076 == -0.3819702602 =/= -0.3819702185
     nke(1,0,1,0,1,1,0,0,0,0,0,1,1) =       -171 /       1366 == -0.1251830161 =/= -0.1251828697
     nke(1,1,0,1,0,0,0,1,1,1,0,0,0) =        -40 /       1067 == -0.0374882849 =/= -0.0374883604
     nke(1,0,1,0,1,1,0,0,0,0,0,1,0) =       -199 /       1049 == -0.1897044805 =/= -0.1897045595
     nke(1,1,0,1,0,0,0,1,0,1,0,0,0) =        -40 /       1067 == -0.0374882849 =/= -0.0374883604
     nke(1,0,1,0,1,1,0,0,0,0,0,0,1) =       -171 /       1366 == -0.1251830161 =/= -0.1251828697
     nke(1,1,0,1,0,0,0,0,1,1,0,0,0) =        -46 /       1369 == -0.0336011687 =/= -0.0336012081
     nke(1,0,1,0,1,1,0,0,0,0,0,0,0) =       -171 /       1366 == -0.1251830161 =/= -0.1251828697
     nke(1,1,0,1,0,0,0,0,0,1,0,0,0) =       -137 /       1343 == -0.1020104244 =/= -0.1020100503
     nkd(1,1,0,0,1,0,0,0,0,0,1,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,0,1,0,0,0,0,1,1) =       -325 /        964 == -0.3371369295 =/= -0.3371367335
     nke(1,1,0,1,0,0,0,1,1,0,1,0,0) =        -40 /       1067 == -0.0374882849 =/= -0.0374883604
     nkd(1,1,0,0,1,0,0,0,0,0,1,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,1,0,0,0,1,0,0,1,0,0) =        -40 /       1067 == -0.0374882849 =/= -0.0374883604
     nkd(1,1,0,0,1,0,0,0,0,0,1,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,0,1,0,0,0,0,0,1) =       -257 /       1237 == -0.2077607114 =/= -0.2077609834
     nke(1,1,0,1,0,0,0,0,1,0,1,0,0) =        -46 /       1369 == -0.0336011687 =/= -0.0336012081
     nkd(1,1,0,0,1,0,0,0,0,0,1,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,0,1,0,0,0,0,0,0) =       -259 /       1389 == -0.1864650828 =/= -0.1864652660
     nke(1,0,1,0,1,0,0,0,0,0,0,1,1) =       -200 /        981 == -0.2038735984 =/= -0.2038738311
     nke(1,1,0,1,0,0,0,1,1,0,0,0,0) =        -40 /       1067 == -0.0374882849 =/= -0.0374883604
     nkd(1,0,1,1,0,1,0,0,0,0,0,0,0) =       -135 /       1453 == -0.0929112182 =/= -0.0929114074
     nkd(1,1,0,0,1,0,0,0,0,0,0,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,0,0,0,0,0,0,1,0) =       -281 /        898 == -0.3129175947 =/= -0.3129172107
     nke(1,1,0,1,0,0,0,1,0,0,0,0,0) =        -40 /       1067 == -0.0374882849 =/= -0.0374883604
     nkd(1,1,0,0,1,0,0,0,0,0,0,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,1,0,1,0,0,0,0,0,0,0,1) =       -257 /       1237 == -0.2077607114 =/= -0.2077609834
     nke(1,1,0,1,0,0,0,0,1,0,0,0,0) =        -46 /       1369 == -0.0336011687 =/= -0.0336012081
     nkd(1,0,1,1,0,0,0,0,0,0,0,0,0) =       -291 /        998 == -0.2915831663 =/= -0.2915833762
     nkd(1,1,0,0,1,0,0,0,0,0,0,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,1,0,0,0,0,0,0,0,0,0) =        -40 /       1067 == -0.0374882849 =/= -0.0374883604
     nke(1,1,0,0,1,1,1,_,_,_,_,_,_) =         29 /       1242 == 0.0233494364 =/= 0.0233496881
     nke(1,1,0,0,1,0,1,1,1,_,_,_,_) =        -38 /       1021 == -0.0372184133 =/= -0.0372183753
     nke(1,1,0,0,1,0,0,1,1,1,0,1,1) =       -547 /       1179 == -0.4639525021 =/= -0.4639529669
     nke(1,1,0,0,1,0,0,1,1,0,1,1,1) =       -156 /        791 == -0.1972187105 =/= -0.1972183753
     nkd(1,1,0,1,0,1,0,1,0,1,0,1,1) =         68 /       1371 == 0.0495988330 =/= 0.0495986494
     nke(1,1,0,0,1,1,0,1,0,1,0,1,1) =       -703 /       1000 == -0.7030000000 =/= -0.7029999077
     nkd(1,1,0,1,0,1,0,0,1,1,1,_,_) =        231 /       1135 == 0.2035242291 =/= 0.2035237869
     nkd(1,1,0,1,0,1,0,0,1,1,0,1,1) =       -589 /       1202 == -0.4900166389 =/= -0.4900163547
     nke(1,1,0,0,1,1,0,1,0,0,1,1,1) =        145 /       1403 == 0.1033499644 =/= 0.1033496881
     nkd(1,1,0,1,0,1,0,0,0,1,0,1,1) =          9 /        854 == 0.0105386417 =/= 0.0105383875
     nke(1,1,0,0,1,1,0,1,0,0,0,1,1) =       -443 /        892 == -0.4966367713 =/= -0.4966369907
     nkd(1,1,0,1,0,1,0,0,0,0,0,1,1) =          9 /        854 == 0.0105386417 =/= 0.0105383875
     nke(1,1,0,0,1,0,0,1,0,0,0,1,1) =       -443 /        892 == -0.4966367713 =/= -0.4966369907
     nkd(1,1,0,1,0,0,1,1,1,_,_,_,_) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,0,1,1,0,0,1,1,1,_,_) =       -303 /       1093 == -0.2772186642 =/= -0.2772183753
     nke(1,1,0,0,1,0,1,0,1,1,1,_,_) =       -303 /       1093 == -0.2772186642 =/= -0.2772183753
     nke(1,1,0,0,1,0,0,0,1,1,1,1,1) =       -303 /       1093 == -0.2772186642 =/= -0.2772183753
     nke(1,1,0,0,1,1,0,0,1,1,0,1,1) =        145 /       1403 == 0.1033499644 =/= 0.1033496881
     nke(1,1,0,0,1,0,0,0,1,1,0,1,1) =       -547 /       1179 == -0.4639525021 =/= -0.4639529669
     nkd(1,1,0,1,0,0,1,0,1,1,1,_,_) =       -149 /       1358 == -0.1097201767 =/= -0.1097199910
     nkd(1,1,0,1,0,0,1,0,1,1,0,1,1) =       -589 /       1202 == -0.4900166389 =/= -0.4900163547
     nke(1,1,0,0,1,1,0,0,1,0,1,1,1) =        145 /       1403 == 0.1033499644 =/= 0.1033496881
     nke(1,1,0,0,1,0,1,0,1,0,1,1,1) =       -336 /        869 == -0.3866513234 =/= -0.3866512352
     nkd(1,1,0,1,0,0,1,0,1,0,0,1,1) =       -149 /       1358 == -0.1097201767 =/= -0.1097199910
     nkd(1,1,0,1,0,0,1,0,0,1,0,1,1) =        -10 /        997 == -0.0100300903 =/= -0.0100296759
     nkd(1,1,0,1,0,0,0,1,1,1,1,_,_) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,1,0,0,0,1,1,1,0,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,0,1,1,0,0,0,1,1,1,1) =       -303 /       1093 == -0.2772186642 =/= -0.2772183753
     nkd(1,1,0,1,0,0,0,1,1,0,0,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,0,1,0,0,0,0,1,1,1,1) =       -303 /       1093 == -0.2772186642 =/= -0.2772183753
     nkd(1,1,0,1,0,0,0,1,0,1,0,1,1) =       -957 /       1112 == -0.8606115108 =/= -0.8606114562
     nke(1,1,0,0,1,0,1,0,0,1,0,1,1) =       -547 /       1179 == -0.4639525021 =/= -0.4639529669
     nke(1,1,0,0,1,0,0,0,0,1,0,1,1) =       -547 /       1179 == -0.4639525021 =/= -0.4639529669
     nkd(1,1,0,1,0,0,0,0,1,0,1,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,0,1,0,1,0,0,0,1,1,1) =       -216 /        997 == -0.2166499498 =/= -0.2166503119
     nkd(1,1,0,1,0,0,0,0,1,0,0,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,0,1,0,0,0,0,0,1,1,1) =       -216 /        997 == -0.2166499498 =/= -0.2166503119
     nkd(1,1,0,1,0,0,0,0,0,1,0,1,1) =       -414 /       1109 == -0.3733092876 =/= -0.3733088012
     nkd(1,1,0,1,0,0,0,0,0,0,1,1,1) =         25 /        836 == 0.0299043062 =/= 0.0299038500
     nkd(1,1,0,1,0,0,0,0,0,0,0,1,1) =         55 /       1088 == 0.0505514706 =/= 0.0505517087
     nke(1,1,0,0,1,0,0,0,0,0,0,1,1) =       -216 /        997 == -0.2166499498 =/= -0.2166503119
     nkd(1,1,0,1,0,1,0,0,0,1,1,1,0) =         32 /       1329 == 0.0240782543 =/= 0.0240785291
     nke(1,1,0,0,1,0,0,1,0,1,1,1,0) =       -664 /        819 == -0.8107448107 =/= -0.8107451958
     nke(1,1,0,0,1,0,0,1,0,1,1,0,1) =       -801 /       1262 == -0.6347068146 =/= -0.6347067358
     nkd(1,1,0,1,0,0,0,0,0,1,1,1,0) =         55 /       1088 == 0.0505514706 =/= 0.0505517087
     nkd(1,1,0,1,0,0,0,1,1,1,0,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,1,0,1,0,1,0,1,0,1,0) =         68 /       1371 == 0.0495988330 =/= 0.0495986494
     nkd(1,1,0,1,0,0,1,1,0,1,0,1,0) =        -67 /       1410 == -0.0475177305 =/= -0.0475180364
     nkd(1,1,0,1,0,1,0,1,0,1,0,0,1) =         68 /       1371 == 0.0495988330 =/= 0.0495986494
     nke(1,1,0,0,1,1,0,1,0,1,0,0,1) =        145 /       1403 == 0.1033499644 =/= 0.1033496881
     nkd(1,1,0,1,0,1,0,1,0,1,0,0,0) =         68 /       1371 == 0.0495988330 =/= 0.0495986494
     nke(1,1,0,0,1,1,0,0,0,1,0,1,0) =        -13 /       1048 == -0.0124045802 =/= -0.0124048062
     nke(1,1,0,0,1,1,0,0,1,0,1,1,0) =       -607 /       1322 == -0.4591527988 =/= -0.4591531147
     nkd(1,1,0,1,0,0,0,0,1,1,0,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,1,0,1,0,1,0,0,1,0,0) =       -329 /       1118 == -0.2942754919 =/= -0.2942751817
     nke(1,1,0,0,1,1,0,0,0,0,1,1,0) =        -13 /       1048 == -0.0124045802 =/= -0.0124048062
     nkd(1,1,0,1,0,1,0,0,0,1,0,1,0) =          9 /        854 == 0.0105386417 =/= 0.0105383875
     nkd(1,1,0,1,0,0,0,0,0,1,0,1,0) =        -79 /       1068 == -0.0739700375 =/= -0.0739699811
     nke(1,1,0,0,1,1,0,0,0,0,0,1,0) =        -13 /       1048 == -0.0124045802 =/= -0.0124048062
     nkd(1,1,0,1,0,0,0,1,1,0,1,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,1,0,0,1,1,0,0,1,1,0) =        -87 /       1091 == -0.0797433547 =/= -0.0797437318
     nkd(1,1,0,1,0,1,0,0,1,1,0,0,1) =        137 /        788 == 0.1738578680 =/= 0.1738574764
     nke(1,1,0,0,1,1,0,1,0,0,1,0,1) =       -648 /       1267 == -0.5114443567 =/= -0.5114446247
     nkd(1,1,0,1,0,1,0,0,1,1,0,0,0) =        137 /        788 == 0.1738578680 =/= 0.1738574764
     nke(1,1,0,0,1,1,0,1,0,0,1,0,0) =       -554 /       1379 == -0.4017403916 =/= -0.4017400652
     nkd(1,1,0,1,0,0,0,0,1,0,1,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,1,0,1,0,0,0,0,1,1,0) =          9 /        854 == 0.0105386417 =/= 0.0105383875
     nkd(1,1,0,1,0,1,0,0,1,0,0,1,0) =       -333 /       1009 == -0.3300297324 =/= -0.3300296759
     nke(1,1,0,0,1,0,1,0,1,0,0,1,0) =       -625 /       1148 == -0.5444250871 =/= -0.5444246165
     nkd(1,1,0,1,0,0,0,0,0,0,1,1,0) =         55 /       1088 == 0.0505514706 =/= 0.0505517087
     nkd(1,1,0,1,0,1,0,0,1,0,0,0,0) =         11 /       1180 == 0.0093220339 =/= 0.0093224653
     nkd(1,1,0,1,0,1,0,0,0,1,1,0,1) =       -381 /       1414 == -0.2694483734 =/= -0.2694482913
     nke(1,1,0,0,1,0,0,0,1,1,1,1,0) =       -156 /        791 == -0.1972187105 =/= -0.1972183753
     nkd(1,1,0,1,0,0,0,1,1,0,0,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,1,0,1,0,0,0,1,1,0,0) =       -381 /       1414 == -0.2694483734 =/= -0.2694482913
     nke(1,1,0,0,1,0,0,0,0,1,1,1,0) =       -156 /        791 == -0.1972187105 =/= -0.1972183753
     nkd(1,1,0,1,0,1,0,0,0,1,0,0,1) =          9 /        854 == 0.0105386417 =/= 0.0105383875
     nke(1,1,0,0,1,0,0,0,1,1,0,1,0) =       -156 /        791 == -0.1972187105 =/= -0.1972183753
     nke(1,1,0,0,1,1,0,1,0,0,0,0,1) =       -241 /       1016 == -0.2372047244 =/= -0.2372050541
     nke(1,1,0,0,1,0,0,0,0,1,0,1,0) =       -156 /        791 == -0.1972187105 =/= -0.1972183753
     nkd(1,1,0,1,0,0,1,0,1,0,0,1,0) =       -149 /       1358 == -0.1097201767 =/= -0.1097199910
     nkd(1,1,0,1,0,1,0,0,0,0,1,0,1) =          9 /        854 == 0.0105386417 =/= 0.0105383875
     nke(1,1,0,0,1,0,0,0,1,0,1,1,0) =       -319 /        845 == -0.3775147929 =/= -0.3775147390
     nkd(1,1,0,1,0,0,0,0,1,0,0,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,1,0,1,0,0,0,0,1,0,0) =          9 /        854 == 0.0105386417 =/= 0.0105383875
     nke(1,1,0,0,1,0,0,0,0,0,1,1,0) =       -156 /        791 == -0.1972187105 =/= -0.1972183753
     nkd(1,1,0,1,0,1,0,0,0,0,0,0,1) =          9 /        854 == 0.0105386417 =/= 0.0105383875
     nkd(1,1,0,1,0,0,0,0,0,0,0,1,0) =         55 /       1088 == 0.0505514706 =/= 0.0505517087
     nkd(1,1,0,1,0,1,0,0,0,0,0,0,0) =          9 /        854 == 0.0105386417 =/= 0.0105383875
     nke(1,1,0,0,1,0,0,0,0,0,0,1,0) =       -156 /        791 == -0.1972187105 =/= -0.1972183753
     nkd(1,1,0,1,0,0,0,0,0,1,1,0,1) =         55 /       1088 == 0.0505514706 =/= 0.0505517087
     nke(1,1,0,0,1,0,0,0,1,1,1,0,0) =       -766 /       1481 == -0.5172180959 =/= -0.5172183753
     nkd(1,1,0,1,0,0,1,1,0,1,0,0,1) =        -67 /       1410 == -0.0475177305 =/= -0.0475180364
     nke(1,1,0,0,1,1,0,0,1,1,0,0,1) =       -347 /       1339 == -0.2591486184 =/= -0.2591486303
     nkd(1,1,0,1,0,0,1,1,0,1,0,0,0) =        -67 /       1410 == -0.0475177305 =/= -0.0475180364
     nkd(1,1,0,1,0,0,1,1,0,0,1,0,1) =       -465 /        974 == -0.4774127310 =/= -0.4774125219
     nke(1,1,0,0,1,1,0,0,1,0,1,0,1) =         33 /       1184 == 0.0278716216 =/= 0.0278713779
     nkd(1,1,0,1,0,0,0,0,1,1,0,0,1) =       -445 /        999 == -0.4454454454 =/= -0.4454452050
     nkd(1,1,0,1,0,0,1,1,0,0,1,0,0) =        -87 /       1091 == -0.0797433547 =/= -0.0797437318
     nkd(1,1,0,1,0,0,1,0,0,1,0,0,1) =        -10 /        997 == -0.0100300903 =/= -0.0100296759
     nke(1,1,0,0,1,1,0,0,1,0,0,0,1) =         33 /       1184 == 0.0278716216 =/= 0.0278713779
     nkd(1,1,0,1,0,0,0,0,0,1,0,0,1) =        -20 /       1377 == -0.0145243282 =/= -0.0145247234
     nke(1,1,0,0,1,0,0,0,1,1,0,0,0) =       -766 /       1481 == -0.5172180959 =/= -0.5172183753
     nkd(1,1,0,1,0,0,0,1,1,0,1,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,0,1,0,1,0,0,1,1,0,1) =       -519 /       1454 == -0.3569463549 =/= -0.3569466756
     nkd(1,1,0,1,0,0,0,1,1,0,0,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,0,1,0,0,0,0,1,0,0,1) =       -216 /        997 == -0.2166499498 =/= -0.2166503119
     nkd(1,1,0,1,0,0,0,1,1,1,0,0,0) =       -589 /       1202 == -0.4900166389 =/= -0.4900163547
     nkd(1,1,0,1,0,0,0,1,1,0,1,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,1,0,0,0,0,0,1,1,0,0) =         55 /       1088 == 0.0505514706 =/= 0.0505517087
     nkd(1,1,0,1,0,0,0,1,1,0,0,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,0,1,0,0,0,0,1,1,0,0) =       -766 /       1481 == -0.5172180959 =/= -0.5172183753
     nkd(1,1,0,1,0,0,0,1,0,1,0,0,0) =       -412 /       1179 == -0.3494486853 =/= -0.3494482913
     nkd(1,1,0,1,0,0,0,0,1,1,0,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,1,0,0,0,0,0,1,0,0,0) =         55 /       1088 == 0.0505514706 =/= 0.0505517087
     nke(1,1,0,0,1,0,0,0,0,1,0,0,0) =       -766 /       1481 == -0.5172180959 =/= -0.5172183753
     nkd(1,0,0,1,0,1,1,1,1,_,_,_,_) =        -28 /       1231 == -0.0227457352 =/= -0.0227460135
     nke(1,0,0,0,1,1,1,1,1,_,_,_,_) =        129 /       1301 == 0.0991544965 =/= 0.0991545655
     nkd(1,0,0,1,0,1,1,0,1,1,1,_,_) =        -28 /       1231 == -0.0227457352 =/= -0.0227460135
     nkd(1,0,0,1,0,1,0,1,1,1,1,_,_) =       -141 /       1109 == -0.1271415690 =/= -0.1271418774
     nkd(1,0,0,1,0,0,1,1,1,1,1,_,_) =       -245 /        759 == -0.3227931489 =/= -0.3227928356
     nke(1,1,0,0,0,1,1,0,1,1,1,_,_) =        229 /        796 == 0.2876884422 =/= 0.2876888379
     nkd(1,0,0,1,0,0,1,1,0,1,1,1,1) =       -853 /       1467 == -0.5814587594 =/= -0.5814588691
     nkd(1,0,0,1,0,0,1,0,1,1,1,1,1) =       -988 /       1241 == -0.7961321515 =/= -0.7961317084
     nke(1,1,0,0,0,1,1,0,0,1,0,1,1) =         64 /        987 == 0.0648429585 =/= 0.0648429813
     nke(1,1,0,0,0,1,1,0,0,0,1,1,1) =         64 /        987 == 0.0648429585 =/= 0.0648429813
     nke(1,1,0,0,0,1,1,0,0,0,0,1,1) =         64 /        987 == 0.0648429585 =/= 0.0648429813
     nke(1,1,0,0,0,1,0,1,1,1,1,_,_) =       -613 /       1178 == -0.5203735144 =/= -0.5203733893
     nkd(1,0,0,1,0,0,0,1,1,1,0,1,1) =       -343 /        968 == -0.3543388430 =/= -0.3543388860
     nke(1,1,0,0,0,1,0,0,0,1,1,1,1) =       -212 /       1123 == -0.1887800534 =/= -0.1887805168
     nkd(1,0,0,1,0,1,1,1,0,1,0,1,1) =        -25 /        964 == -0.0259336100 =/= -0.0259338688
     nke(1,1,0,0,0,1,0,1,1,1,0,1,1) =        165 /       1372 == 0.1202623907 =/= 0.1202628629
     nkd(1,0,0,1,0,0,1,1,0,1,0,1,1) =       -109 /       1174 == -0.0928449744 =/= -0.0928453290
     nke(1,0,0,0,1,1,0,1,1,1,0,0,1) =       -603 /       1427 == -0.4225648213 =/= -0.4225647925
     nkd(1,0,0,1,0,1,1,0,1,1,0,1,1) =        -28 /       1231 == -0.0227457352 =/= -0.0227460135
     nke(1,1,0,0,0,1,0,1,1,0,1,1,1) =        165 /       1372 == 0.1202623907 =/= 0.1202628629
     nke(1,0,0,0,1,0,1,1,1,1,0,1,0) =         69 /        788 == 0.0875634518 =/= 0.0875634076
     nkd(1,0,0,1,0,0,1,0,1,1,0,1,1) =       -109 /       1174 == -0.0928449744 =/= -0.0928453290
     nke(1,1,0,0,0,1,0,1,1,0,0,1,1) =        165 /       1372 == 0.1202623907 =/= 0.1202628629
     nkd(1,0,0,1,0,1,0,0,0,1,0,1,1) =       -206 /       1247 == -0.1651964715 =/= -0.1651960590
     nkd(1,1,0,0,0,1,1,1,0,0,0,1,0) =        122 /       1063 == 0.1147695202 =/= 0.1147693850
     nke(1,1,0,0,0,1,0,1,0,0,0,1,1) =       -564 /       1475 == -0.3823728814 =/= -0.3823727562
     nkd(1,0,0,1,0,0,1,0,0,1,0,1,1) =       -119 /       1160 == -0.1025862069 =/= -0.1025860272
     nkd(1,1,0,0,0,1,1,1,0,0,0,0,1) =        122 /       1063 == 0.1147695202 =/= 0.1147693850
     nke(1,1,0,0,0,1,0,0,1,0,0,1,1) =       -551 /       1195 == -0.4610878661 =/= -0.4610881178
     nkd(1,1,0,0,0,1,1,1,0,0,0,0,0) =        122 /       1063 == 0.1147695202 =/= 0.1147693850
     nke(1,0,0,0,1,0,0,1,1,1,0,0,0) =       -536 /        845 == -0.6343195266 =/= -0.6343193659
     nkd(1,1,0,0,0,1,1,0,1,1,1,_,_) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,0,0,1,0,0,0,1,1,0,1,1,1) =       -233 /        836 == -0.2787081340 =/= -0.2787081075
     nke(1,1,0,0,0,0,1,0,0,1,1,1,1) =       -321 /       1217 == -0.2637633525 =/= -0.2637634366
     nkd(1,0,0,1,0,1,1,1,0,0,1,1,1) =        -25 /        964 == -0.0259336100 =/= -0.0259338688
     nkd(1,1,0,0,0,1,1,0,1,1,0,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,0,0,1,1,0,1,1,0,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,0,0,1,1,0,1,1,0,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,0,0,0,1,0,1,1,0,1,1) =       -861 /       1472 == -0.5849184783 =/= -0.5849182922
     nkd(1,1,0,0,0,1,1,0,1,1,0,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,0,0,1,0,1,1,0,1,0,1,1,1) =        -28 /       1231 == -0.0227457352 =/= -0.0227460135
     nkd(1,1,0,0,0,1,1,0,1,0,1,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,0,0,1,0,1,1,1,0,1,1,1) =       -422 /       1045 == -0.4038277512 =/= -0.4038279323
     nkd(1,1,0,0,0,1,1,0,1,0,1,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,0,0,1,0,1,1,1,0,1,1,0) =       -182 /       1381 == -0.1317885590 =/= -0.1317887337
     nkd(1,0,0,1,0,0,1,0,1,0,1,1,1) =       -242 /       1169 == -0.2070145423 =/= -0.2070146006
     nkd(1,1,0,0,0,1,1,0,1,0,1,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,0,0,1,0,0,0,0,1,0,1,1,1) =       -311 /       1308 == -0.2377675841 =/= -0.2377675780
     nkd(1,1,0,0,0,1,1,0,1,0,1,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,0,0,1,0,1,1,1,0,1,0,0) =         73 /       1254 == 0.0582137161 =/= 0.0582140361
     nke(1,1,0,0,0,0,1,0,0,0,1,1,1) =       -321 /       1217 == -0.2637633525 =/= -0.2637634366
     nkd(1,1,0,0,0,1,1,0,1,0,0,1,1) =       -437 /       1060 == -0.4122641509 =/= -0.4122636806
     nkd(1,0,0,1,0,1,0,0,0,0,1,1,1) =       -417 /       1336 == -0.3121257485 =/= -0.3121255886
     nkd(1,1,0,0,0,1,1,0,1,0,0,1,0) =        139 /       1218 == 0.1141215107 =/= 0.1141215263
     nkd(1,1,0,0,0,1,1,0,1,0,0,0,1) =        139 /       1218 == 0.1141215107 =/= 0.1141215263
     nkd(1,1,0,0,0,1,1,0,1,0,0,0,0) =        139 /       1218 == 0.1141215107 =/= 0.1141215263
     nke(1,1,0,0,0,0,1,0,0,0,0,1,1) =       -321 /       1217 == -0.2637633525 =/= -0.2637634366
     nke(1,1,0,0,0,0,0,1,1,1,1,1,1) =       -613 /       1178 == -0.5203735144 =/= -0.5203733893
     nkd(1,0,0,1,0,0,0,1,1,0,0,1,1) =       -233 /        836 == -0.2787081340 =/= -0.2787081075
     nke(1,1,0,0,0,0,0,0,0,1,1,1,1) =       -211 /        798 == -0.2644110276 =/= -0.2644112953
     nke(1,1,0,0,0,0,0,1,1,1,0,1,1) =       -625 /       1158 == -0.5397236615 =/= -0.5397236840
     nke(1,1,0,0,0,0,0,1,0,1,0,1,1) =       -267 /        790 == -0.3379746835 =/= -0.3379747820
     nke(1,1,0,0,0,0,0,0,1,1,0,1,1) =       -631 /       1466 == -0.4304229195 =/= -0.4304224535
     nke(1,1,0,0,0,0,0,0,0,1,0,1,1) =       -211 /        798 == -0.2644110276 =/= -0.2644112953
     nkd(1,0,0,1,0,1,0,0,1,0,0,1,1) =       -494 /       1441 == -0.3428174879 =/= -0.3428172358
     nke(1,0,0,0,1,0,1,1,1,0,0,1,0) =         69 /        788 == 0.0875634518 =/= 0.0875634076
     nkd(1,0,0,1,0,0,0,0,1,0,0,1,1) =       -311 /       1308 == -0.2377675841 =/= -0.2377675780
     nke(1,0,0,0,1,0,1,1,1,0,0,0,0) =         73 /       1254 == 0.0582137161 =/= 0.0582140361
     nke(1,1,0,0,0,0,0,0,0,0,1,1,1) =       -211 /        798 == -0.2644110276 =/= -0.2644112953
     nkd(1,0,0,1,0,1,1,0,0,0,0,1,1) =        114 /       1171 == 0.0973526900 =/= 0.0973527744
     nkd(1,1,0,0,0,1,1,0,0,0,0,1,1) =        122 /       1063 == 0.1147695202 =/= 0.1147693850
     nkd(1,0,0,1,0,1,0,0,0,0,0,1,1) =       -655 /       1313 == -0.4988575781 =/= -0.4988578061
     nkd(1,1,0,0,0,1,1,0,0,0,0,1,0) =        122 /       1063 == 0.1147695202 =/= 0.1147693850
     nkd(1,1,0,0,0,1,1,0,0,0,0,0,1) =        122 /       1063 == 0.1147695202 =/= 0.1147693850
     nkd(1,1,0,0,0,1,1,0,0,0,0,0,0) =        122 /       1063 == 0.1147695202 =/= 0.1147693850
     nkd(1,1,0,0,0,1,0,1,1,1,1,_,_) =       -101 /        939 == -0.1075612354 =/= -0.1075616930
     nke(1,1,0,0,0,1,1,0,0,1,1,1,0) =         64 /        987 == 0.0648429585 =/= 0.0648429813
     nkd(1,1,0,0,0,1,0,1,1,1,0,1,1) =        291 /       1412 == 0.2060906516 =/= 0.2060908216
     nkd(1,1,0,0,0,1,0,1,1,1,0,1,0) =        291 /       1412 == 0.2060906516 =/= 0.2060908216
     nke(1,0,0,0,1,1,0,1,0,1,1,0,1) =       -229 /       1461 == -0.1567419576 =/= -0.1567417138
     nkd(1,1,0,0,0,1,0,1,1,1,0,0,0) =       -209 /       1168 == -0.1789383562 =/= -0.1789381290
     nke(1,0,0,0,1,1,0,1,0,1,1,0,0) =       -262 /       1355 == -0.1933579336 =/= -0.1933581292
     nke(1,1,0,0,0,1,1,0,0,1,0,1,0) =         64 /        987 == 0.0648429585 =/= 0.0648429813
     nke(1,0,0,0,1,0,1,1,0,1,1,1,1) =       -695 /       1338 == -0.5194319880 =/= -0.5194318047
     nkd(1,0,0,1,0,1,0,0,1,1,1,1,0) =       -141 /       1109 == -0.1271415690 =/= -0.1271418774
     nke(1,0,0,0,1,0,1,1,0,1,1,1,0) =       -578 /        787 == -0.7344345616 =/= -0.7344349042
     nke(1,0,0,0,1,0,1,1,0,1,1,0,1) =      -1097 /       1384 == -0.7926300578 =/= -0.7926300795
     nkd(1,1,0,0,0,1,0,1,1,0,1,0,0) =       -217 /        921 == -0.2356134636 =/= -0.2356135006
     nke(1,1,0,0,0,1,1,0,0,0,1,1,0) =         64 /        987 == 0.0648429585 =/= 0.0648429813
     nke(1,0,0,0,1,0,0,1,0,1,1,1,0) =       -174 /       1163 == -0.1496130696 =/= -0.1496132895
     nkd(1,1,0,0,0,1,0,1,1,0,0,0,1) =       -397 /        791 == -0.5018963338 =/= -0.5018962265
     nke(1,0,0,0,1,0,0,1,0,1,1,0,0) =       -157 /        933 == -0.1682743837 =/= -0.1682739155
     nke(1,1,0,0,0,1,1,0,0,0,0,1,0) =         64 /        987 == 0.0648429585 =/= 0.0648429813
     nkd(1,0,0,1,0,1,0,1,1,1,0,1,0) =       -159 /        953 == -0.1668415530 =/= -0.1668414250
     nke(1,1,0,0,0,1,0,1,0,1,1,1,0) =        -30 /        821 == -0.0365408039 =/= -0.0365408407
     nke(1,0,0,0,1,1,1,1,0,1,0,0,1) =       -376 /       1227 == -0.3064384678 =/= -0.3064386236
     nkd(1,0,0,1,0,1,1,1,0,1,0,1,0) =        -25 /        964 == -0.0259336100 =/= -0.0259338688
     nkd(1,0,0,1,0,1,0,1,0,1,0,1,0) =       -497 /        936 == -0.5309829060 =/= -0.5309831309
     nkd(1,1,0,0,0,1,0,1,0,1,0,1,0) =        113 /       1069 == 0.1057062675 =/= 0.1057058257
     nke(1,1,0,0,0,1,0,1,0,1,0,1,0) =        -30 /        821 == -0.0365408039 =/= -0.0365408407
     nkd(1,0,0,1,0,0,1,1,0,1,0,1,0) =       -109 /       1174 == -0.0928449744 =/= -0.0928453290
     nke(1,0,0,0,1,1,0,1,0,1,0,0,1) =       -229 /       1461 == -0.1567419576 =/= -0.1567417138
     nke(1,0,0,0,1,1,0,1,0,1,0,0,0) =       -262 /       1355 == -0.1933579336 =/= -0.1933581292
     nkd(1,0,0,1,0,1,1,0,1,1,0,1,0) =        -28 /       1231 == -0.0227457352 =/= -0.0227460135
     nke(1,0,0,0,1,0,1,1,0,1,0,1,0) =       -161 /       1500 == -0.1073333333 =/= -0.1073333861
     nkd(1,0,0,1,0,0,1,0,1,1,0,1,0) =       -109 /       1174 == -0.0928449744 =/= -0.0928453290
     nkd(1,1,0,0,0,1,0,1,0,0,1,0,1) =       -163 /        845 == -0.1928994083 =/= -0.1928998008
     nke(1,0,0,0,1,0,1,1,0,1,0,0,0) =       -274 /       1115 == -0.2457399103 =/= -0.2457394584
     nkd(1,1,0,0,0,1,0,1,0,0,0,1,1) =        -94 /        939 == -0.1001064963 =/= -0.1001060420
     nke(1,0,0,0,1,0,0,1,0,1,0,1,1) =       -123 /        953 == -0.1290661070 =/= -0.1290660652
     nke(1,1,0,0,0,1,0,1,1,0,0,1,0) =       -403 /       1120 == -0.3598214286 =/= -0.3598212849
     nkd(1,0,0,1,0,1,0,0,0,1,0,1,0) =       -206 /       1247 == -0.1651964715 =/= -0.1651960590
     nkd(1,1,0,0,0,1,0,1,0,0,0,1,0) =        -94 /        939 == -0.1001064963 =/= -0.1001060420
     nke(1,0,0,0,1,0,0,1,0,1,0,1,0) =       -174 /       1163 == -0.1496130696 =/= -0.1496132895
     nke(1,1,0,0,0,1,0,1,0,0,0,1,0) =       -276 /       1391 == -0.1984184040 =/= -0.1984179427
     nkd(1,0,0,1,0,0,1,0,0,1,0,1,0) =       -119 /       1160 == -0.1025862069 =/= -0.1025860272
     nkd(1,1,0,0,0,1,0,1,0,0,0,0,1) =        -94 /        939 == -0.1001064963 =/= -0.1001060420
     nke(1,0,0,0,1,0,0,1,0,1,0,0,1) =       -342 /       1303 == -0.2624712203 =/= -0.2624715441
     nkd(1,1,0,0,0,1,0,1,0,0,0,0,0) =        -94 /        939 == -0.1001064963 =/= -0.1001060420
     nke(1,0,0,0,1,0,0,1,0,1,0,0,0) =       -157 /        933 == -0.1682743837 =/= -0.1682739155
     nke(1,1,0,0,0,1,0,0,0,0,0,1,0) =        -42 /       1331 == -0.0315552216 =/= -0.0315550192
     nkd(1,0,0,1,0,0,1,1,1,0,1,1,0) =       -573 /       1220 == -0.4696721311 =/= -0.4696725095
     nkd(1,1,0,0,0,1,0,0,1,1,1,0,1) =         64 /        859 == 0.0745052386 =/= 0.0745053351
     nkd(1,0,0,1,0,0,0,1,1,0,1,1,0) =       -233 /        836 == -0.2787081340 =/= -0.2787081075
     nkd(1,1,0,0,0,1,0,0,1,1,1,0,0) =         64 /        859 == 0.0745052386 =/= 0.0745053351
     nke(1,1,0,0,0,0,1,0,0,1,1,1,0) =       -321 /       1217 == -0.2637633525 =/= -0.2637634366
     nkd(1,0,0,1,0,1,1,1,0,0,1,1,0) =        -25 /        964 == -0.0259336100 =/= -0.0259338688
     nkd(1,1,0,0,0,1,0,0,1,1,0,1,1) =       -380 /       1303 == -0.2916346892 =/= -0.2916348145
     nke(1,0,0,0,1,1,0,1,0,0,1,0,1) =       -229 /       1461 == -0.1567419576 =/= -0.1567417138
     nke(1,0,0,0,1,1,0,1,0,0,1,0,0) =       -262 /       1355 == -0.1933579336 =/= -0.1933581292
     nke(1,1,0,0,0,0,1,0,0,1,0,1,0) =       -321 /       1217 == -0.2637633525 =/= -0.2637634366
     nke(1,0,0,0,1,0,1,1,0,0,1,1,0) =       -548 /       1225 == -0.4473469388 =/= -0.4473467073
     nke(1,1,0,0,0,0,1,0,1,0,1,1,0) =       -403 /        892 == -0.4517937220 =/= -0.4517940094
     nkd(1,0,0,1,0,0,0,0,1,0,1,1,0) =       -311 /       1308 == -0.2377675841 =/= -0.2377675780
     nke(1,0,0,0,1,0,1,1,0,0,1,0,0) =       -219 /        851 == -0.2573443008 =/= -0.2573439375
     nke(1,1,0,0,0,0,1,0,0,0,1,1,0) =       -321 /       1217 == -0.2637633525 =/= -0.2637634366
     nke(1,0,0,0,1,0,0,1,0,0,1,1,1) =       -123 /        953 == -0.1290661070 =/= -0.1290660652
     nke(1,1,0,0,0,0,1,1,1,0,0,1,0) =       -761 /       1360 == -0.5595588235 =/= -0.5595584220
     nkd(1,0,0,1,0,1,0,0,0,0,1,1,0) =       -436 /        787 == -0.5540025413 =/= -0.5540026906
     nke(1,0,0,0,1,0,0,1,0,0,1,1,0) =       -174 /       1163 == -0.1496130696 =/= -0.1496132895
     nke(1,0,0,0,1,0,0,1,0,0,1,0,1) =       -313 /        970 == -0.3226804124 =/= -0.3226805946
     nke(1,0,0,0,1,0,0,1,0,0,1,0,0) =       -355 /       1311 == -0.2707856598 =/= -0.2707855551
     nke(1,1,0,0,0,0,1,0,0,0,0,1,0) =       -321 /       1217 == -0.2637633525 =/= -0.2637634366
     nke(1,1,0,0,0,0,0,1,1,1,1,1,0) =       -647 /       1246 == -0.5192616372 =/= -0.5192619264
     nke(1,0,0,0,1,1,1,1,0,0,0,0,1) =        -93 /       1360 == -0.0683823529 =/= -0.0683821997
     nkd(1,1,0,0,0,1,0,0,0,1,0,1,1) =         73 /       1445 == 0.0505190311 =/= 0.0505193949
     nke(1,1,0,0,0,0,0,1,1,1,0,1,0) =       -619 /       1288 == -0.4805900621 =/= -0.4805899577
     nkd(1,1,0,0,0,1,0,0,0,1,0,0,1) =         73 /       1445 == 0.0505190311 =/= 0.0505193949
     nke(1,0,0,0,1,1,0,1,0,0,0,0,1) =       -229 /       1461 == -0.1567419576 =/= -0.1567417138
     nke(1,1,0,0,0,0,0,0,1,1,0,1,0) =       -201 /        836 == -0.2404306220 =/= -0.2404310265
     nkd(1,0,0,1,0,0,0,1,0,0,0,1,0) =       -175 /        776 == -0.2255154639 =/= -0.2255152402
     nkd(1,1,0,0,0,1,0,0,0,1,0,0,0) =         73 /       1445 == 0.0505190311 =/= 0.0505193949
     nke(1,0,0,0,1,1,0,1,0,0,0,0,0) =       -262 /       1355 == -0.1933579336 =/= -0.1933581292
     nkd(1,0,0,1,0,1,0,0,1,0,0,1,0) =       -494 /       1441 == -0.3428174879 =/= -0.3428172358
     nke(1,0,0,0,1,0,1,1,0,0,0,1,0) =       -161 /       1500 == -0.1073333333 =/= -0.1073333861
     nkd(1,0,0,1,0,0,0,0,1,0,0,1,0) =       -311 /       1308 == -0.2377675841 =/= -0.2377675780
     nkd(1,0,0,1,0,1,1,0,0,0,0,1,0) =        114 /       1171 == 0.0973526900 =/= 0.0973527744
     nkd(1,1,0,0,0,1,0,0,0,0,0,1,1) =       -213 /       1156 == -0.1842560554 =/= -0.1842560572
     nke(1,0,0,0,1,0,0,1,0,0,0,1,1) =       -123 /        953 == -0.1290661070 =/= -0.1290660652
     nkd(1,0,0,1,0,1,0,0,0,0,0,1,0) =       -466 /       1321 == -0.3527630583 =/= -0.3527630277
     nke(1,0,0,0,1,0,0,1,0,0,0,1,0) =       -174 /       1163 == -0.1496130696 =/= -0.1496132895
     nke(1,1,0,0,0,0,0,1,0,0,0,1,0) =        -89 /       1251 == -0.0711430855 =/= -0.0711428534
     nke(1,0,0,0,1,1,1,0,1,1,1,_,_) =        102 /        965 == 0.1056994819 =/= 0.1056996267
     nkd(1,0,0,1,0,0,0,1,1,1,1,0,1) =       -952 /       1451 == -0.6560992419 =/= -0.6560995265
     nke(1,1,0,0,0,1,1,0,0,1,1,0,1) =         64 /        987 == 0.0648429585 =/= 0.0648429813
     nke(1,0,0,0,1,1,0,0,1,1,1,1,1) =       -118 /        965 == -0.1222797927 =/= -0.1222799035
     nkd(1,0,0,1,0,1,0,1,0,1,1,0,1) =       -135 /        908 == -0.1486784141 =/= -0.1486788272
     nke(1,1,0,0,0,1,1,0,0,1,0,0,1) =         64 /        987 == 0.0648429585 =/= 0.0648429813
     nkd(1,0,0,1,0,1,0,0,1,1,1,0,1) =       -141 /       1109 == -0.1271415690 =/= -0.1271418774
     nke(1,0,0,0,1,0,1,0,1,1,1,0,0) =        -77 /        949 == -0.0811380400 =/= -0.0811381052
     nke(1,1,0,0,0,1,1,0,0,0,1,0,1) =         64 /        987 == 0.0648429585 =/= 0.0648429813
     nkd(1,1,0,0,0,0,1,1,1,0,0,1,1) =         23 /       1210 == 0.0190082645 =/= 0.0190079004
     nke(1,0,0,0,1,0,0,0,1,1,1,1,1) =       -321 /       1186 == -0.2706576728 =/= -0.2706581464
     nkd(1,1,0,0,0,0,1,1,1,0,0,1,0) =         23 /       1210 == 0.0190082645 =/= 0.0190079004
     nkd(1,1,0,0,0,0,1,1,1,0,0,0,1) =         23 /       1210 == 0.0190082645 =/= 0.0190079004
     nkd(1,1,0,0,0,0,1,1,1,0,0,0,0) =         23 /       1210 == 0.0190082645 =/= 0.0190079004
     nke(1,1,0,0,0,1,1,0,0,0,0,0,1) =         64 /        987 == 0.0648429585 =/= 0.0648429813
     nkd(1,0,0,1,0,1,0,1,1,1,0,0,1) =       -159 /        953 == -0.1668415530 =/= -0.1668414250
     nke(1,0,0,0,1,1,1,0,1,1,0,1,0) =        102 /        965 == 0.1056994819 =/= 0.1056996267
     nkd(1,1,0,0,0,0,1,1,0,1,1,0,1) =       -535 /        919 == -0.5821545158 =/= -0.5821546050
     nke(1,0,0,0,1,1,1,0,1,1,0,0,1) =        102 /        965 == 0.1056994819 =/= 0.1056996267
     nkd(1,0,0,1,0,0,0,1,1,1,0,0,1) =       -494 /        939 == -0.5260915868 =/= -0.5260914810
     nke(1,1,0,0,0,1,0,0,0,1,1,0,1) =        165 /       1372 == 0.1202623907 =/= 0.1202628629
     nkd(1,0,0,1,0,1,1,1,0,1,0,0,1) =       -445 /       1102 == -0.4038112523 =/= -0.4038115776
     nke(1,0,0,0,1,1,0,0,1,1,0,1,1) =       -118 /        965 == -0.1222797927 =/= -0.1222799035
     nke(1,1,0,0,0,1,0,1,1,1,0,0,1) =        165 /       1372 == 0.1202623907 =/= 0.1202628629
     nke(1,1,0,0,0,1,0,1,0,1,0,0,1) =       -190 /        827 == -0.2297460701 =/= -0.2297462378
     nkd(1,0,0,1,0,0,1,1,0,1,0,0,1) =       -109 /       1174 == -0.0928449744 =/= -0.0928453290
     nke(1,0,0,0,1,1,0,0,1,1,0,0,0) =        -29 /        792 == -0.0366161616 =/= -0.0366164154
     nkd(1,0,0,1,0,1,1,0,1,1,0,0,1) =        -28 /       1231 == -0.0227457352 =/= -0.0227460135
     nke(1,0,0,0,1,0,1,0,1,1,0,1,1) =       -677 /       1345 == -0.5033457249 =/= -0.5033454675
     nke(1,1,0,0,0,1,0,1,1,0,1,0,1) =        165 /       1372 == 0.1202623907 =/= 0.1202628629
     nke(1,0,0,0,1,0,1,0,1,1,0,1,0) =        -55 /       1062 == -0.0517890772 =/= -0.0517887337
     nkd(1,0,0,1,0,0,1,0,1,1,0,0,1) =       -109 /       1174 == -0.0928449744 =/= -0.0928453290
     nke(1,0,0,0,1,0,1,0,1,1,0,0,1) =       -319 /       1119 == -0.2850759607 =/= -0.2850764320
     nke(1,1,0,0,0,1,0,0,0,0,1,0,1) =        165 /       1372 == 0.1202623907 =/= 0.1202628629
     nke(1,0,0,0,1,0,0,0,1,1,0,1,1) =       -321 /       1186 == -0.2706576728 =/= -0.2706581464
     nke(1,1,0,0,0,1,0,1,1,0,0,0,1) =       -296 /       1149 == -0.2576153177 =/= -0.2576148459
     nkd(1,0,0,1,0,0,1,0,0,1,0,0,1) =       -119 /       1160 == -0.1025862069 =/= -0.1025860272
     nke(1,0,0,0,1,0,0,0,1,1,0,0,1) =       -399 /       1364 == -0.2925219941 =/= -0.2925219272
     nke(1,1,0,0,0,1,0,0,1,0,0,0,1) =       -149 /        946 == -0.1575052854 =/= -0.1575049790
     nke(1,1,0,0,0,1,0,0,0,0,0,0,1) =        165 /       1372 == 0.1202623907 =/= 0.1202628629
     nkd(1,0,0,1,0,0,1,1,1,0,1,0,1) =       -479 /       1411 == -0.3394755493 =/= -0.3394758570
     nke(1,0,0,0,1,1,1,0,1,0,1,0,1) =        102 /        965 == 0.1056994819 =/= 0.1056996267
     nkd(1,0,0,1,0,0,0,1,1,0,1,0,1) =       -233 /        836 == -0.2787081340 =/= -0.2787081075
     nke(1,0,0,0,1,1,0,0,1,0,1,1,1) =       -118 /        965 == -0.1222797927 =/= -0.1222799035
     nke(1,1,0,0,0,0,1,0,1,1,0,0,1) =       -334 /        893 == -0.3740201568 =/= -0.3740206281
     nke(1,0,0,0,1,1,0,0,1,0,1,0,0) =       -200 /       1259 == -0.1588562351 =/= -0.1588563553
     nke(1,1,0,0,0,0,1,0,0,1,0,0,1) =       -321 /       1217 == -0.2637633525 =/= -0.2637634366
     nkd(1,0,0,1,0,1,1,0,1,0,1,0,1) =        -28 /       1231 == -0.0227457352 =/= -0.0227460135
     nke(1,0,0,0,1,0,1,0,1,0,1,1,1) =       -641 /       1437 == -0.4460681976 =/= -0.4460678722
     nke(1,0,0,0,1,0,1,0,1,0,1,1,0) =       -197 /       1132 == -0.1740282686 =/= -0.1740286736
     nkd(1,0,0,1,0,1,1,0,0,0,1,0,1) =       -317 /        919 == -0.3449401523 =/= -0.3449400546
     nkd(1,1,0,0,0,0,1,0,1,0,0,1,1) =         23 /       1210 == 0.0190082645 =/= 0.0190079004
     nke(1,0,0,0,1,0,0,0,1,0,1,1,1) =       -321 /       1186 == -0.2706576728 =/= -0.2706581464
     nkd(1,1,0,0,0,0,1,0,1,0,0,1,0) =         23 /       1210 == 0.0190082645 =/= 0.0190079004
     nke(1,0,0,0,1,1,1,0,1,0,0,1,0) =        102 /        965 == 0.1056994819 =/= 0.1056996267
     nkd(1,0,0,1,0,0,1,1,1,0,0,0,1) =       -302 /        811 == -0.3723797781 =/= -0.3723796146
     nkd(1,1,0,0,0,0,1,0,0,1,1,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,0,0,1,1,1,0,1,0,0,0,1) =        102 /        965 == 0.1056994819 =/= 0.1056996267
     nkd(1,0,0,1,0,0,0,1,1,0,0,0,1) =       -233 /        836 == -0.2787081340 =/= -0.2787081075
     nke(1,1,0,0,0,0,0,0,0,1,1,0,1) =       -211 /        798 == -0.2644110276 =/= -0.2644112953
     nkd(1,1,0,0,0,0,1,0,0,1,0,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,0,0,1,1,0,0,1,0,0,1,1) =       -118 /        965 == -0.1222797927 =/= -0.1222799035
     nkd(1,1,0,0,0,0,1,0,0,1,0,1,0) =       -187 /        910 == -0.2054945055 =/= -0.2054946649
     nkd(1,1,0,0,0,0,1,0,0,1,0,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,0,0,0,1,0,0,1,0,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,0,0,1,1,0,0,1,0,0,0,0) =        -29 /        792 == -0.0366161616 =/= -0.0366164154
     nkd(1,1,0,0,0,0,1,0,0,0,1,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,0,0,1,0,1,0,0,1,0,0,0,1) =       -494 /       1441 == -0.3428174879 =/= -0.3428172358
     nkd(1,1,0,0,0,0,1,0,0,0,1,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,0,0,1,0,1,0,1,0,0,1,0) =        -55 /       1062 == -0.0517890772 =/= -0.0517887337
     nkd(1,0,0,1,0,1,1,0,0,0,0,0,1) =        114 /       1171 == 0.0973526900 =/= 0.0973527744
     nkd(1,1,0,0,0,0,1,0,0,0,0,1,1) =        -23 /        990 == -0.0232323232 =/= -0.0232320395
     nke(1,0,0,0,1,0,0,0,1,0,0,1,1) =       -321 /       1186 == -0.2706576728 =/= -0.2706581464
     nkd(1,0,0,1,0,1,0,0,0,0,0,0,1) =       -338 /       1351 == -0.2501850481 =/= -0.2501849141
     nkd(1,1,0,0,0,0,1,0,0,0,0,1,0) =        -23 /        990 == -0.0232323232 =/= -0.0232320395
     nkd(1,1,0,0,0,0,0,1,1,1,1,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,0,0,1,1,1,0,0,1,1,1,1) =       -200 /        981 == -0.2038735984 =/= -0.2038738311
     nkd(1,1,0,0,0,0,0,1,1,1,1,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,0,0,1,1,1,0,0,1,1,0,1) =        102 /        965 == 0.1056994819 =/= 0.1056996267
     nke(1,1,0,0,0,1,1,1,0,1,0,0,0) =         29 /       1242 == 0.0233494364 =/= 0.0233496881
     nkd(1,1,0,0,0,0,0,1,1,1,0,0,1) =       -433 /        928 == -0.4665948276 =/= -0.4665945212
     nke(1,1,0,0,0,1,1,0,1,1,0,0,0) =        229 /        796 == 0.2876884422 =/= 0.2876888379
     nkd(1,1,0,0,0,0,0,1,1,1,0,0,0) =       -196 /       1263 == -0.1551860649 =/= -0.1551859033
     nkd(1,1,0,0,0,0,0,1,1,0,1,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,0,0,1,0,1,0,0,1,1,1,1) =       -200 /        981 == -0.2038735984 =/= -0.2038738311
     nkd(1,0,0,1,0,1,0,0,1,1,1,0,0) =       -141 /       1109 == -0.1271415690 =/= -0.1271418774
     nkd(1,1,0,0,0,0,0,1,1,0,1,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,0,0,1,0,1,0,0,1,1,1,0) =       -457 /       1346 == -0.3395245171 =/= -0.3395247893
     nke(1,1,0,0,0,1,1,1,0,0,1,0,0) =         29 /       1242 == 0.0233494364 =/= 0.0233496881
     nkd(1,1,0,0,0,0,0,1,1,0,1,0,1) =       -379 /        982 == -0.3859470468 =/= -0.3859466624
     nke(1,1,0,0,0,1,1,0,1,0,1,0,0) =        229 /        796 == 0.2876884422 =/= 0.2876888379
     nkd(1,1,0,0,0,0,0,1,1,0,1,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,0,0,0,0,1,1,0,0,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,0,0,1,0,1,0,0,0,1,1,0,0) =        -30 /       1309 == -0.0229182582 =/= -0.0229183978
     nkd(1,1,0,0,0,0,0,1,1,0,0,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,0,0,1,1,1,0,0,0,0,0) =         29 /       1242 == 0.0233494364 =/= 0.0233496881
     nkd(1,1,0,0,0,0,0,1,1,0,0,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,0,0,1,1,0,1,0,0,0,0) =        229 /        796 == 0.2876884422 =/= 0.2876888379
     nkd(1,1,0,0,0,0,0,1,1,0,0,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,0,0,1,1,1,0,0,1,0,1,1) =        137 /       1149 == 0.1192341166 =/= 0.1192343608
     nkd(1,0,0,1,0,1,0,1,1,1,0,0,0) =       -159 /        953 == -0.1668415530 =/= -0.1668414250
     nke(1,0,0,0,1,1,1,0,0,1,0,1,0) =        102 /        965 == 0.1056994819 =/= 0.1056996267
     nke(1,0,0,0,1,1,1,0,0,1,0,0,1) =        102 /        965 == 0.1056994819 =/= 0.1056996267
     nke(1,1,0,0,0,1,0,0,1,1,1,0,0) =       -109 /        999 == -0.1091091091 =/= -0.1091094581
     nkd(1,0,0,1,0,0,0,1,1,1,0,0,0) =       -343 /        968 == -0.3543388430 =/= -0.3543388860
     nkd(1,0,0,1,0,1,1,1,0,1,0,0,0) =        -25 /        964 == -0.0259336100 =/= -0.0259338688
     nkd(1,1,0,0,0,0,0,1,0,1,0,1,1) =       -238 /        859 == -0.2770663562 =/= -0.2770666983
     nkd(1,1,0,0,0,0,0,1,0,1,0,1,0) =       -173 /       1221 == -0.1416871417 =/= -0.1416873079
     nke(1,1,0,0,0,1,0,1,0,1,0,0,0) =       -107 /       1105 == -0.0968325792 =/= -0.0968327200
     nkd(1,0,0,1,0,0,1,1,0,1,0,0,0) =       -109 /       1174 == -0.0928449744 =/= -0.0928453290
     nkd(1,1,0,0,0,0,0,1,0,1,0,0,1) =       -173 /       1221 == -0.1416871417 =/= -0.1416873079
     nke(1,1,0,0,0,1,0,0,1,1,0,0,0) =       -109 /        999 == -0.1091091091 =/= -0.1091094581
     nkd(1,1,0,0,0,0,0,1,0,1,0,0,0) =       -173 /       1221 == -0.1416871417 =/= -0.1416873079
     nkd(1,0,0,1,0,1,1,0,1,1,0,0,0) =        -28 /       1231 == -0.0227457352 =/= -0.0227460135
     nkd(1,1,0,0,0,0,0,1,0,0,1,1,1) =       -488 /       1495 == -0.3264214047 =/= -0.3264216094
     nke(1,0,0,0,1,0,1,0,0,1,0,1,1) =       -200 /        981 == -0.2038735984 =/= -0.2038738311
     nke(1,0,0,0,1,0,1,0,0,1,0,1,0) =       -182 /       1381 == -0.1317885590 =/= -0.1317887337
     nke(1,1,0,0,0,1,0,1,0,0,1,0,0) =       -107 /       1105 == -0.0968325792 =/= -0.0968327200
     nkd(1,0,0,1,0,0,1,0,1,1,0,0,0) =       -109 /       1174 == -0.0928449744 =/= -0.0928453290
     nke(1,1,0,0,0,1,0,0,1,0,1,0,0) =       -110 /        897 == -0.1226309922 =/= -0.1226308709
     nke(1,1,0,0,0,1,0,1,0,0,0,0,0) =       -107 /       1105 == -0.0968325792 =/= -0.0968327200
     nkd(1,0,0,1,0,0,1,0,0,1,0,0,0) =       -119 /       1160 == -0.1025862069 =/= -0.1025860272
     nke(1,1,0,0,0,1,0,0,1,0,0,0,0) =       -109 /        999 == -0.1091091091 =/= -0.1091094581
     nkd(1,1,0,0,0,0,0,0,1,1,1,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,0,0,0,0,0,1,1,1,0,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,0,0,1,1,1,0,0,0,1,0,1) =        -69 /       1420 == -0.0485915493 =/= -0.0485912502
     nkd(1,1,0,0,0,0,0,0,1,1,1,0,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,1,0,0,0,0,1,0,0,1,1,0,0) =       -321 /       1217 == -0.2637633525 =/= -0.2637634366
     nkd(1,0,0,1,0,1,1,1,0,0,1,0,0) =        -25 /        964 == -0.0259336100 =/= -0.0259338688
     nke(1,1,0,0,0,0,1,0,0,1,0,0,0) =       -321 /       1217 == -0.2637633525 =/= -0.2637634366
     nkd(1,0,0,1,0,1,1,0,1,0,1,0,0) =       -259 /       1163 == -0.2226999140 =/= -0.2227001147
     nkd(1,1,0,0,0,0,0,0,1,0,1,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,0,0,1,0,1,0,0,0,1,1,1) =       -200 /        981 == -0.2038735984 =/= -0.2038738311
     nkd(1,1,0,0,0,0,0,0,1,0,1,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,0,0,1,0,1,0,0,0,1,1,0) =       -182 /       1381 == -0.1317885590 =/= -0.1317887337
     nkd(1,1,0,0,0,0,0,0,1,0,0,1,1) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nkd(1,1,0,0,0,0,0,0,1,0,0,1,0) =       -203 /       1194 == -0.1700167504 =/= -0.1700163547
     nke(1,0,0,0,1,1,1,0,0,0,0,1,1) =        -79 /        943 == -0.0837751856 =/= -0.0837750432
     nke(1,0,0,0,1,1,1,0,0,0,0,1,0) =        102 /        965 == 0.1056994819 =/= 0.1056996267
     nke(1,0,0,0,1,1,1,0,0,0,0,0,1) =        102 /        965 == 0.1056994819 =/= 0.1056996267
     nke(1,1,0,0,0,0,0,0,1,1,1,0,0) =       -505 /        891 == -0.5667789001 =/= -0.5667785120
     nkd(1,0,0,1,0,0,0,1,1,0,0,0,0) =       -233 /        836 == -0.2787081340 =/= -0.2787081075
     nke(1,1,0,0,0,0,0,0,0,1,1,0,0) =       -879 /       1459 == -0.6024674435 =/= -0.6024677192
     nke(1,1,0,0,0,0,0,1,0,1,0,0,0) =       -213 /        791 == -0.2692793932 =/= -0.2692790725
     nke(1,1,0,0,0,0,0,0,0,1,0,0,0) =       -443 /        785 == -0.5643312102 =/= -0.5643315000
     nkd(1,0,0,1,0,1,1,0,1,0,0,0,0) =        114 /       1171 == 0.0973526900 =/= 0.0973527744
     nke(1,0,0,0,1,0,1,0,0,0,0,1,1) =       -200 /        981 == -0.2038735984 =/= -0.2038738311
     nkd(1,0,0,1,0,1,0,0,1,0,0,0,0) =       -494 /       1441 == -0.3428174879 =/= -0.3428172358
     nke(1,0,0,0,1,0,1,0,0,0,0,1,0) =       -182 /       1381 == -0.1317885590 =/= -0.1317887337
     nke(1,1,0,0,0,0,0,1,0,0,1,0,0) =       -213 /        791 == -0.2692793932 =/= -0.2692790725
     nkd(1,0,0,1,0,1,1,0,0,0,0,0,0) =        114 /       1171 == 0.0973526900 =/= 0.0973527744
     nkd(1,0,0,1,0,1,0,0,0,0,0,0,0) =       -338 /       1351 == -0.2501850481 =/= -0.2501849141
     nke(1,1,0,0,0,0,0,1,0,0,0,0,0) =       -227 /        761 == -0.2982917214 =/= -0.2982921168
     nke(1,0,1,1,0,1,1,_,_,_,_,_,_) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,1,0,1,1,_,_,_,_) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,0,1,1,1,1,_,_) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,0,1,1,1,0,1,1) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,0,1,1,0,0,1,1) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,1,0,1,0,1,1,_,_) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,0,1,0,1,1,1,1) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,1,0,1,0,1,0,1,1) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,0,1,0,1,0,1,1) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,1,0,1,0,0,1,1,1) =       -392 /        807 == -0.4857496902 =/= -0.4857493504
     nkd(1,0,1,0,1,1,0,0,1,0,1,1,1) =       -383 /        931 == -0.4113856069 =/= -0.4113859323
     nke(1,0,1,1,0,0,0,1,0,0,1,1,1) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,0,1,1,1,0,1,0) =        -59 /       1116 == -0.0528673835 =/= -0.0528678827
     nke(1,0,1,1,0,1,0,1,0,0,0,1,1) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,0,1,1,0,1,1,0) =        -59 /       1116 == -0.0528673835 =/= -0.0528678827
     nke(1,0,1,1,0,0,0,1,0,0,0,1,1) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,0,1,1,0,0,1,0) =        -59 /       1116 == -0.0528673835 =/= -0.0528678827
     nke(1,0,1,1,0,1,0,0,1,1,1,_,_) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,0,0,1,1,1,1,1) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nkd(1,0,1,0,1,0,1,1,0,1,0,1,1) =        -58 /        895 == -0.0648044693 =/= -0.0648047323
     nke(1,0,1,1,0,0,1,0,1,1,0,1,1) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,0,0,1,1,0,1,1) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nkd(1,0,1,0,1,0,1,0,1,1,1,_,_) =       -263 /       1302 == -0.2019969278 =/= -0.2019967291
     nke(1,0,1,1,0,1,0,0,1,0,1,1,1) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,0,0,1,0,1,1,1) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nkd(1,0,1,0,1,0,1,0,0,1,0,1,1) =        -58 /        895 == -0.0648044693 =/= -0.0648047323
     nke(1,0,1,1,0,0,0,1,1,1,0,0,1) =        -80 /       1477 == -0.0541638456 =/= -0.0541636002
     nkd(1,0,1,0,1,0,1,0,0,0,1,1,1) =       -609 /       1370 == -0.4445255474 =/= -0.4445255147
     nke(1,0,1,1,0,0,0,1,1,0,1,0,1) =        -80 /       1477 == -0.0541638456 =/= -0.0541636002
     nke(1,0,1,1,0,0,1,0,1,0,0,1,1) =         48 /       1099 == 0.0436760692 =/= 0.0436762553
     nkd(1,0,1,0,1,0,1,0,0,0,0,1,1) =       -227 /        899 == -0.2525027809 =/= -0.2525030665
     nke(1,0,1,1,0,0,0,0,1,0,0,1,1) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,0,1,1,0,0,0,1) =        -80 /       1477 == -0.0541638456 =/= -0.0541636002
     nkd(1,0,1,0,1,0,0,1,1,1,0,1,1) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nkd(1,0,1,0,1,0,0,1,0,1,0,1,1) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nkd(1,0,1,0,1,0,0,0,1,1,0,1,1) =       -325 /       1186 == -0.2740303541 =/= -0.2740306519
     nkd(1,0,1,0,1,0,0,0,0,1,0,1,1) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nke(1,0,1,1,0,0,0,1,1,1,0,0,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,0,1,1,0,1,0,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,0,1,1,0,0,0,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,0,1,0,1,1,1,0) =       -308 /        817 == -0.3769889841 =/= -0.3769890133
     nkd(1,0,1,0,1,0,0,0,1,1,1,1,0) =       -340 /       1313 == -0.2589489718 =/= -0.2589493399
     nke(1,0,1,1,0,0,0,1,0,1,1,0,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nkd(1,0,1,0,1,0,0,1,1,1,0,1,0) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nke(1,0,1,1,0,1,0,1,0,1,0,1,0) =       -308 /        817 == -0.3769889841 =/= -0.3769890133
     nkd(1,0,1,0,1,0,1,1,0,1,0,1,0) =        -58 /        895 == -0.0648044693 =/= -0.0648047323
     nke(1,0,1,1,0,1,0,0,1,1,0,1,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,1,0,1,0,1,0,0,1) =       -662 /       1407 == -0.4705046198 =/= -0.4705047547
     nkd(1,0,1,0,1,0,0,1,0,1,0,1,0) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nke(1,0,1,1,0,1,0,1,0,1,0,0,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nkd(1,0,1,0,1,1,0,1,0,0,1,1,0) =       -727 /       1491 == -0.4875922200 =/= -0.4875921603
     nke(1,0,1,1,0,1,0,1,0,0,1,1,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nkd(1,0,1,0,1,0,1,0,1,1,0,1,0) =        -58 /        895 == -0.0648044693 =/= -0.0648047323
     nke(1,0,1,1,0,1,0,0,1,0,1,1,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nkd(1,0,1,0,1,0,0,0,1,1,0,1,0) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nkd(1,0,1,0,1,1,0,1,0,0,1,0,0) =       -340 /       1313 == -0.2589489718 =/= -0.2589493399
     nkd(1,0,1,0,1,1,0,1,0,0,0,1,0) =       -577 /       1196 == -0.4824414716 =/= -0.4824416043
     nke(1,0,1,1,0,0,0,1,0,1,0,1,0) =        -59 /       1116 == -0.0528673835 =/= -0.0528678827
     nke(1,0,1,1,0,1,0,1,0,0,0,1,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nkd(1,0,1,0,1,0,1,0,0,1,0,1,0) =        -58 /        895 == -0.0648044693 =/= -0.0648047323
     nkd(1,0,1,0,1,1,0,1,0,0,0,0,1) =       -491 /       1419 == -0.3460183228 =/= -0.3460188080
     nke(1,0,1,1,0,0,0,1,0,1,0,0,1) =        -80 /       1477 == -0.0541638456 =/= -0.0541636002
     nke(1,0,1,1,0,1,0,0,1,0,0,1,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nkd(1,0,1,0,1,0,0,0,0,1,0,1,0) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nke(1,0,1,1,0,0,0,1,0,1,0,0,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,1,0,0,1,1,1,0) =       -614 /       1147 == -0.5353095031 =/= -0.5353094871
     nke(1,0,1,1,0,1,0,1,0,0,1,0,1) =       -705 /       1342 == -0.5253353204 =/= -0.5253352062
     nke(1,0,1,1,0,1,0,1,0,0,1,0,0) =       -308 /        817 == -0.3769889841 =/= -0.3769890133
     nkd(1,0,1,0,1,1,0,0,1,0,1,1,0) =       -340 /       1313 == -0.2589489718 =/= -0.2589493399
     nkd(1,0,1,0,1,1,0,0,1,0,1,0,0) =       -340 /       1313 == -0.2589489718 =/= -0.2589493399
     nke(1,0,1,1,0,0,0,1,0,0,1,1,0) =        -59 /       1116 == -0.0528673835 =/= -0.0528678827
     nke(1,0,1,1,0,0,0,1,0,0,1,0,1) =        -80 /       1477 == -0.0541638456 =/= -0.0541636002
     nke(1,0,1,1,0,0,0,1,0,0,1,0,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,0,0,1,1,1,1,0) =        -59 /       1116 == -0.0528673835 =/= -0.0528678827
     nke(1,0,1,1,0,0,0,0,0,1,1,1,0) =       -614 /       1147 == -0.5353095031 =/= -0.5353094871
     nke(1,0,1,1,0,0,0,0,1,1,0,1,0) =        -59 /       1116 == -0.0528673835 =/= -0.0528678827
     nke(1,0,1,1,0,1,0,1,0,0,0,0,1) =        -51 /       1015 == -0.0502463054 =/= -0.0502466400
     nke(1,0,1,1,0,1,0,1,0,0,0,0,0) =       -429 /        908 == -0.4724669604 =/= -0.4724673235
     nke(1,0,1,1,0,0,0,0,1,0,1,1,0) =        -59 /       1116 == -0.0528673835 =/= -0.0528678827
     nke(1,0,1,1,0,0,0,1,0,0,0,1,0) =        -59 /       1116 == -0.0528673835 =/= -0.0528678827
     nkd(1,0,1,0,1,1,0,0,0,0,0,0,1) =       -293 /        842 == -0.3479809976 =/= -0.3479813767
     nke(1,0,1,1,0,0,0,0,1,0,0,1,0) =        -59 /       1116 == -0.0528673835 =/= -0.0528678827
     nke(1,0,1,1,0,0,0,1,0,0,0,0,1) =        -80 /       1477 == -0.0541638456 =/= -0.0541636002
     nke(1,0,1,1,0,0,0,1,0,0,0,0,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nkd(1,0,1,0,1,0,1,0,0,1,1,0,1) =       -227 /        899 == -0.2525027809 =/= -0.2525030665
     nke(1,0,1,1,0,0,0,0,1,1,1,0,1) =        -80 /       1477 == -0.0541638456 =/= -0.0541636002
     nke(1,0,1,1,0,0,0,0,1,1,1,0,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,1,0,0,0,1,1,0,1) =        -52 /       1201 == -0.0432972523 =/= -0.0432967990
     nke(1,0,1,1,0,1,0,0,1,1,0,0,1) =        -51 /       1015 == -0.0502463054 =/= -0.0502466400
     nkd(1,0,1,0,1,0,0,1,0,1,0,0,1) =       -495 /       1387 == -0.3568853641 =/= -0.3568856091
     nkd(1,0,1,0,1,0,1,1,0,1,0,0,0) =        -58 /        895 == -0.0648044693 =/= -0.0648047323
     nke(1,0,1,1,0,1,0,0,0,1,0,0,1) =        -52 /       1201 == -0.0432972523 =/= -0.0432967990
     nke(1,0,1,1,0,1,0,0,1,1,0,0,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nkd(1,0,1,0,1,0,1,0,1,1,0,0,1) =       -648 /       1445 == -0.4484429066 =/= -0.4484424748
     nke(1,0,1,1,0,0,1,0,1,1,0,0,1) =         48 /       1099 == 0.0436760692 =/= 0.0436762553
     nke(1,0,1,1,0,1,0,0,1,0,1,0,1) =        -51 /       1015 == -0.0502463054 =/= -0.0502466400
     nkd(1,0,1,0,1,0,0,0,1,1,0,0,1) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nke(1,0,1,1,0,1,0,0,0,0,1,0,1) =        -52 /       1201 == -0.0432972523 =/= -0.0432967990
     nkd(1,0,1,0,1,0,1,0,0,1,0,0,1) =        -58 /        895 == -0.0648044693 =/= -0.0648047323
     nke(1,0,1,1,0,0,0,0,1,1,0,0,1) =        -80 /       1477 == -0.0541638456 =/= -0.0541636002
     nke(1,0,1,1,0,1,0,0,1,0,0,0,1) =        -51 /       1015 == -0.0502463054 =/= -0.0502466400
     nkd(1,0,1,0,1,0,0,0,0,1,0,0,1) =       -261 /        991 == -0.2633703330 =/= -0.2633698677
     nke(1,0,1,1,0,0,0,0,1,1,0,0,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,1,0,0,0,0,0,0,1) =        -52 /       1201 == -0.0432972523 =/= -0.0432967990
     nke(1,0,1,1,0,0,1,0,0,1,1,0,1) =       -248 /        943 == -0.2629904560 =/= -0.2629904114
     nkd(1,0,1,0,1,0,1,0,1,1,0,0,0) =       -263 /       1302 == -0.2019969278 =/= -0.2019967291
     nke(1,0,1,1,0,0,1,0,0,1,0,0,1) =       -248 /        943 == -0.2629904560 =/= -0.2629904114
     nke(1,0,1,1,0,1,0,0,1,0,1,0,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,1,0,1,0,1,0,1) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,0,0,1,0,1,0,1) =        -80 /       1477 == -0.0541638456 =/= -0.0541636002
     nke(1,0,1,1,0,0,1,0,1,0,0,0,1) =       -211 /        870 == -0.2425287356 =/= -0.2425287857
     nke(1,0,1,1,0,0,0,0,1,0,1,0,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nkd(1,0,1,0,1,0,1,0,0,1,1,0,0) =       -227 /        899 == -0.2525027809 =/= -0.2525030665
     nkd(1,0,1,0,1,0,0,1,0,0,0,0,1) =       -177 /        943 == -0.1876988335 =/= -0.1876983342
     nkd(1,0,1,0,1,0,1,0,0,1,0,0,0) =        -58 /        895 == -0.0648044693 =/= -0.0648047323
     nke(1,0,1,1,0,1,0,0,1,0,0,0,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nkd(1,0,1,0,1,0,0,0,1,0,0,0,1) =       -211 /        870 == -0.2425287356 =/= -0.2425287857
     nke(1,0,1,1,0,0,0,0,1,0,0,0,1) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,0,0,1,0,0,0,0) =       -139 /        937 == -0.1483457844 =/= -0.1483461929
     nke(1,0,1,1,0,0,1,0,0,1,1,0,0) =       -477 /       1153 == -0.4137033825 =/= -0.4137038209
     nkd(1,0,1,0,1,0,0,1,1,0,0,0,0) =       -108 /       1009 == -0.1070366700 =/= -0.1070371543
     nkd(1,0,1,0,1,0,0,1,0,1,0,0,0) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nkd(1,0,1,0,1,0,0,0,1,1,0,0,0) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nkd(1,0,1,0,1,0,0,0,0,1,0,0,0) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nkd(1,0,0,0,1,1,1,1,1,_,_,_,_) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nke(1,0,0,1,0,1,1,1,1,_,_,_,_) =          4 /        937 == 0.0042689434 =/= 0.0042687189
     nke(1,0,1,0,0,1,1,1,1,_,_,_,_) =       -509 /       1136 == -0.4480633803 =/= -0.4480630185
     nke(1,0,0,1,0,1,0,1,1,1,1,_,_) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,0,0,1,1,1,0,1,1,1,_,_) =          2 /       1255 == 0.0015936255 =/= 0.0015939276
     nke(1,0,0,1,0,0,0,1,1,1,1,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,0,0,1,1,0,1,1,1,1,_,_) =       -115 /       1142 == -0.1007005254 =/= -0.1007010116
     nke(1,0,1,0,0,1,1,1,0,1,1,_,_) =       -374 /       1043 == -0.3585810163 =/= -0.3585805669
     nkd(1,0,0,0,1,1,0,1,0,1,1,1,1) =       -292 /        999 == -0.2922922923 =/= -0.2922921695
     nke(1,0,1,0,0,1,1,1,0,1,0,1,1) =       -193 /       1239 == -0.1557707829 =/= -0.1557708490
     nke(1,0,1,0,0,1,1,1,0,0,1,1,1) =       -193 /       1239 == -0.1557707829 =/= -0.1557708490
     nkd(1,0,0,0,1,1,0,0,0,1,1,1,1) =       -350 /       1069 == -0.3274087933 =/= -0.3274090927
     nke(1,0,1,0,0,1,1,1,0,0,0,1,1) =       -193 /       1239 == -0.1557707829 =/= -0.1557708490
     nkd(1,0,0,0,1,0,1,1,1,1,1,_,_) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nke(1,0,1,0,0,1,1,0,1,1,0,1,1) =       -501 /       1340 == -0.3738805970 =/= -0.3738804258
     nkd(1,0,0,0,1,0,1,0,1,1,1,1,1) =        -94 /       1411 == -0.0666194189 =/= -0.0666191852
     nkd(1,0,0,0,1,0,1,0,0,1,1,1,1) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nke(1,0,0,1,0,0,0,1,1,1,1,0,1) =         -2 /        791 == -0.0025284450 =/= -0.0025287857
     nkd(1,0,0,0,1,0,0,1,0,1,1,1,1) =       -665 /       1303 == -0.5103607061 =/= -0.5103604637
     nke(1,0,1,0,0,1,1,0,0,1,0,1,1) =         77 /       1236 == 0.0622977346 =/= 0.0622974452
     nkd(1,0,0,0,1,0,0,0,0,1,1,1,1) =       -555 /       1082 == -0.5129390018 =/= -0.5129385774
     nke(1,0,0,1,0,0,0,1,1,1,1,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,1,0,0,1,1,1,0,1,1,_,_) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nke(1,0,1,0,0,1,0,1,1,1,1,_,_) =       -465 /        958 == -0.4853862213 =/= -0.4853859850
     nkd(1,0,0,0,1,0,1,1,1,1,0,1,1) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nkd(1,0,0,0,1,1,1,1,0,1,0,1,1) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nkd(1,0,1,0,0,1,1,1,0,1,0,1,1) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nke(1,0,0,1,0,1,0,1,1,1,0,1,1) =       -424 /        969 == -0.4375644995 =/= -0.4375643308
     nkd(1,0,0,0,1,1,0,1,0,1,0,1,1) =       -616 /       1437 == -0.4286708420 =/= -0.4286709136
     nkd(1,0,1,0,0,1,1,1,0,1,0,1,0) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nke(1,0,0,1,0,1,0,1,1,1,0,1,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,1,0,0,1,1,1,0,1,0,0,1) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nkd(1,0,0,0,1,0,0,1,0,1,0,1,1) =       -665 /       1303 == -0.5103607061 =/= -0.5103604637
     nkd(1,0,1,0,0,1,1,1,0,1,0,0,0) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nkd(1,0,0,0,1,1,1,0,1,1,0,1,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nke(1,0,0,1,0,0,1,1,1,1,0,1,1) =       -491 /       1017 == -0.4827925270 =/= -0.4827925718
     nke(1,0,0,1,0,0,1,1,1,1,0,1,0) =       -364 /       1455 == -0.2501718213 =/= -0.2501718567
     nkd(1,0,0,0,1,0,1,0,1,1,0,1,1) =        -94 /       1411 == -0.0666194189 =/= -0.0666191852
     nke(1,0,1,0,0,1,0,0,1,0,1,1,1) =       -557 /       1045 == -0.5330143541 =/= -0.5330140202
     nke(1,0,1,0,0,1,0,0,0,0,1,1,1) =       -137 /       1469 == -0.0932607216 =/= -0.0932605284
     nkd(1,0,0,0,1,1,1,0,0,1,0,1,1) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nkd(1,0,0,0,1,1,0,0,0,1,0,1,1) =       -257 /       1155 == -0.2225108225 =/= -0.2225111120
     nkd(1,0,0,0,1,0,1,0,0,1,0,1,1) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nkd(1,0,0,0,1,0,0,0,0,1,0,1,1) =       -555 /       1082 == -0.5129390018 =/= -0.5129385774
     nke(1,0,0,1,0,0,0,1,1,1,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,1,0,0,1,0,0,0,0,0,1,1) =        -53 /        775 == -0.0683870968 =/= -0.0683873435
     nkd(1,0,1,0,0,1,1,0,1,1,1,_,_) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nke(1,0,1,0,0,0,1,1,1,1,1,_,_) =       -775 /       1416 == -0.5473163842 =/= -0.5473162400
     nke(1,0,1,0,0,0,1,1,0,1,1,1,1) =       -283 /       1147 == -0.2467306016 =/= -0.2467303710
     nke(1,0,1,0,0,0,1,0,1,1,1,1,1) =       -146 /        891 == -0.1638608305 =/= -0.1638605099
     nkd(1,0,0,0,1,0,0,1,1,0,1,1,1) =       -818 /       1389 == -0.5889128870 =/= -0.5889125417
     nkd(1,0,0,0,1,1,1,1,0,0,1,1,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(1,0,1,0,0,1,1,0,1,1,0,1,1) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nkd(1,0,0,0,1,1,0,1,0,0,1,1,1) =       -417 /       1336 == -0.3121257485 =/= -0.3121255886
     nkd(1,0,1,0,0,1,1,0,1,1,0,1,0) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nke(1,0,0,1,0,1,0,1,1,0,1,1,0) =       -223 /       1430 == -0.1559440559 =/= -0.1559438927
     nkd(1,0,0,0,1,0,1,1,0,0,1,1,1) =       -234 /        785 == -0.2980891720 =/= -0.2980887377
     nkd(1,0,1,0,0,1,1,0,1,1,0,0,1) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nke(1,0,1,0,0,0,1,0,1,1,0,1,1) =       -146 /        891 == -0.1638608305 =/= -0.1638605099
     nkd(1,0,1,0,0,1,1,0,1,1,0,0,0) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nke(1,0,0,1,0,1,0,1,1,0,1,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,0,1,0,0,1,1,1,0,1,1,0) =        -21 /       1345 == -0.0156133829 =/= -0.0156132368
     nkd(1,0,0,0,1,1,1,0,0,0,1,1,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nke(1,0,0,1,0,0,0,1,1,0,1,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,0,0,1,1,0,0,0,0,1,1,1) =       -430 /       1207 == -0.3562551781 =/= -0.3562555560
     nke(1,0,0,1,0,0,0,1,1,0,1,0,1) =        -11 /       1318 == -0.0083459788 =/= -0.0083461929
     nke(1,0,1,0,0,0,1,0,1,0,0,1,1) =       -146 /        891 == -0.1638608305 =/= -0.1638605099
     nkd(1,0,0,0,1,0,0,0,0,0,1,1,1) =       -593 /       1215 == -0.4880658436 =/= -0.4880653926
     nke(1,0,0,1,0,0,0,1,1,0,1,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,1,0,0,1,1,0,0,1,1,1,0) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nke(1,0,1,0,0,0,0,1,0,1,1,1,1) =       -283 /       1455 == -0.1945017182 =/= -0.1945017740
     nkd(1,0,1,0,0,1,1,0,0,1,1,0,1) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nkd(1,0,1,0,0,1,1,0,0,1,1,0,0) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nke(1,0,1,0,0,0,0,0,0,1,1,1,1) =       -416 /       1219 == -0.3412633306 =/= -0.3412634036
     nkd(1,0,0,0,1,1,1,1,0,0,0,1,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(1,0,1,0,0,1,1,0,0,1,0,1,1) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nke(1,0,0,1,0,1,0,1,1,0,0,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,1,0,0,0,0,1,1,1,0,1,1) =       -750 /       1399 == -0.5360972123 =/= -0.5360976800
     nkd(1,0,1,0,0,1,1,0,0,1,0,1,0) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nke(1,0,0,1,0,1,0,1,1,0,0,1,0) =       -205 /       1377 == -0.1488743646 =/= -0.1488744246
     nke(1,0,1,0,0,0,0,1,0,1,0,1,1) =        -35 /        974 == -0.0359342916 =/= -0.0359345283
     nkd(1,0,1,0,0,1,1,0,0,1,0,0,1) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nke(1,0,0,1,0,1,0,1,1,0,0,0,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,1,0,0,0,0,0,1,1,0,1,1) =       -146 /        891 == -0.1638608305 =/= -0.1638605099
     nkd(1,0,1,0,0,1,1,0,0,1,0,0,0) =        -52 /        757 == -0.0686922061 =/= -0.0686918846
     nke(1,0,0,1,0,1,0,1,1,0,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,1,0,0,0,0,0,0,1,0,1,1) =       -416 /       1219 == -0.3412633306 =/= -0.3412634036
     nke(1,0,0,1,0,0,1,1,1,0,0,1,1) =       -653 /       1356 == -0.4815634218 =/= -0.4815631966
     nkd(1,0,0,0,1,1,0,0,1,0,0,1,1) =       -530 /       1291 == -0.4105344694 =/= -0.4105345626
     nke(1,0,0,1,0,0,1,1,1,0,0,1,0) =       -135 /        952 == -0.1418067227 =/= -0.1418066712
     nke(1,0,1,0,0,0,0,1,0,0,1,1,1) =        -35 /        974 == -0.0359342916 =/= -0.0359345283
     nke(1,0,0,1,0,0,1,1,1,0,0,0,1) =        -74 /       1249 == -0.0592473979 =/= -0.0592475501
     nke(1,0,1,0,0,0,0,0,1,0,1,1,1) =       -146 /        891 == -0.1638608305 =/= -0.1638605099
     nkd(1,0,0,0,1,1,1,0,0,0,0,1,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nke(1,0,0,1,0,0,0,1,1,0,0,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,1,0,0,0,0,1,0,0,0,1,1) =        -35 /        974 == -0.0359342916 =/= -0.0359345283
     nke(1,0,0,1,0,0,0,1,1,0,0,0,1) =         -2 /        791 == -0.0025284450 =/= -0.0025287857
     nke(1,0,1,0,0,0,0,0,1,0,0,1,1) =       -146 /        891 == -0.1638608305 =/= -0.1638605099
     nke(1,0,0,1,0,0,0,1,1,0,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,0,1,0,1,1,1,0,1,1,_,_) =          4 /        937 == 0.0042689434 =/= 0.0042687189
     nke(1,0,1,0,0,1,1,0,0,1,1,1,0) =       -365 /       1499 == -0.2434956638 =/= -0.2434952980
     nkd(1,0,1,0,0,1,0,1,1,1,0,1,0) =       -236 /       1145 == -0.2061135371 =/= -0.2061137710
     nke(1,0,0,1,0,1,0,1,0,1,1,1,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,1,0,0,1,0,1,1,1,0,0,1) =       -302 /       1477 == -0.2044685173 =/= -0.2044684050
     nke(1,0,0,1,0,1,0,1,0,1,1,0,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,0,0,1,0,0,1,0,1,1,1,0) =       -665 /       1303 == -0.5103607061 =/= -0.5103604637
     nke(1,0,1,0,0,1,1,0,0,1,0,1,0) =        155 /       1087 == 0.1425942962 =/= 0.1425938089
     nkd(1,0,0,0,1,0,1,0,1,1,1,1,0) =        -94 /       1411 == -0.0666194189 =/= -0.0666191852
     nkd(1,0,1,0,0,1,0,1,1,0,1,0,1) =       -164 /        763 == -0.2149410223 =/= -0.2149405822
     nkd(1,0,1,0,0,1,0,1,1,0,1,0,0) =       -250 /        989 == -0.2527805865 =/= -0.2527804376
     nke(1,0,1,0,0,1,1,0,0,0,1,1,0) =        155 /       1087 == 0.1425942962 =/= 0.1425938089
     nke(1,0,0,1,0,0,0,1,0,1,1,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,0,0,1,1,0,0,0,1,1,1,0) =       -231 /        995 == -0.2321608040 =/= -0.2321606721
     nkd(1,0,0,0,1,0,1,0,0,1,1,1,0) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nke(1,0,0,1,0,0,0,1,0,1,1,0,1) =         -2 /        791 == -0.0025284450 =/= -0.0025287857
     nkd(1,0,0,0,1,0,0,0,0,1,1,1,0) =       -555 /       1082 == -0.5129390018 =/= -0.5129385774
     nkd(1,0,1,0,0,1,0,1,1,0,0,0,0) =       -317 /       1343 == -0.2360387193 =/= -0.2360387238
     nke(1,0,0,1,0,0,0,1,0,1,1,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,1,0,0,1,1,0,0,0,0,1,0) =        155 /       1087 == 0.1425942962 =/= 0.1425938089
     nke(1,0,0,1,0,1,1,1,0,1,0,1,1) =       -159 /       1180 == -0.1347457627 =/= -0.1347455123
     nkd(1,0,0,0,1,1,0,1,1,1,0,1,0) =       -127 /        754 == -0.1684350133 =/= -0.1684353526
     nke(1,0,0,1,0,1,1,1,0,1,0,1,0) =          4 /        937 == 0.0042689434 =/= 0.0042687189
     nkd(1,0,0,0,1,0,1,1,1,1,0,1,0) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nke(1,0,0,1,0,1,1,1,0,1,0,0,1) =          4 /        937 == 0.0042689434 =/= 0.0042687189
     nke(1,0,0,1,0,1,1,1,0,1,0,0,0) =          4 /        937 == 0.0042689434 =/= 0.0042687189
     nkd(1,0,0,0,1,1,1,1,0,1,0,1,0) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nke(1,0,0,1,0,1,0,1,0,1,0,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,0,1,0,1,0,1,0,1,0,1,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,0,1,0,1,0,1,0,1,0,0,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,0,0,1,0,0,1,0,1,0,1,0) =       -665 /       1303 == -0.5103607061 =/= -0.5103604637
     nke(1,0,0,1,0,1,0,1,0,1,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,1,0,0,1,0,0,0,1,0,1,0) =       -149 /       1427 == -0.1044148563 =/= -0.1044151202
     nkd(1,0,0,0,1,1,1,0,1,1,0,1,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(1,0,1,0,0,1,0,1,0,0,1,1,1) =       -529 /       1050 == -0.5038095238 =/= -0.5038090716
     nkd(1,0,0,0,1,0,1,0,1,1,0,1,0) =        -94 /       1411 == -0.0666194189 =/= -0.0666191852
     nkd(1,0,1,0,0,1,0,1,0,0,1,0,1) =       -415 /       1399 == -0.2966404575 =/= -0.2966409475
     nkd(1,0,0,0,1,1,1,0,0,1,0,1,0) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nke(1,0,0,1,0,0,0,1,0,1,0,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,0,0,1,1,0,0,0,1,0,1,0) =       -257 /       1155 == -0.2225108225 =/= -0.2225111120
     nkd(1,0,0,0,1,0,1,0,0,1,0,1,0) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nkd(1,0,1,0,0,1,0,1,0,0,0,0,1) =       -411 /       1340 == -0.3067164179 =/= -0.3067159947
     nke(1,0,0,1,0,0,0,1,0,1,0,0,1) =         -2 /        791 == -0.0025284450 =/= -0.0025287857
     nkd(1,0,0,0,1,0,0,0,0,1,0,1,0) =       -555 /       1082 == -0.5129390018 =/= -0.5129385774
     nkd(1,0,1,0,0,1,0,1,0,0,0,0,0) =       -211 /        958 == -0.2202505219 =/= -0.2202507287
     nke(1,0,0,1,0,0,0,1,0,1,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,1,0,0,1,0,0,1,1,1,1,1) =         88 /       1415 == 0.0621908127 =/= 0.0621908756
     nkd(1,0,1,0,0,1,0,0,1,1,1,1,0) =         88 /       1415 == 0.0621908127 =/= 0.0621908756
     nke(1,0,0,1,0,1,1,1,0,0,1,1,0) =          4 /        937 == 0.0042689434 =/= 0.0042687189
     nke(1,0,1,0,0,0,1,1,0,1,1,1,0) =       -560 /       1483 == -0.3776129467 =/= -0.3776131313
     nkd(1,0,1,0,0,1,0,0,1,1,1,0,1) =         88 /       1415 == 0.0621908127 =/= 0.0621908756
     nke(1,0,0,1,0,1,1,1,0,0,1,0,1) =          4 /        937 == 0.0042689434 =/= 0.0042687189
     nke(1,0,1,0,0,0,1,0,1,1,1,1,0) =       -163 /       1009 == -0.1615460852 =/= -0.1615464461
     nkd(1,0,1,0,0,1,0,0,1,1,1,0,0) =         88 /       1415 == 0.0621908127 =/= 0.0621908756
     nke(1,0,0,1,0,1,1,1,0,0,1,0,0) =          4 /        937 == 0.0042689434 =/= 0.0042687189
     nke(1,0,1,0,0,0,1,0,0,1,1,1,0) =         49 /       1018 == 0.0481335953 =/= 0.0481338451
     nkd(1,0,0,0,1,1,1,1,0,0,1,1,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(1,0,1,0,0,1,0,0,1,1,0,1,1) =         88 /       1415 == 0.0621908127 =/= 0.0621908756
     nke(1,0,1,0,0,0,1,1,1,1,0,1,0) =       -132 /       1339 == -0.0985810306 =/= -0.0985810944
     nkd(1,0,0,0,1,1,0,1,0,0,1,1,0) =       -896 /       1493 == -0.6001339585 =/= -0.6001338715
     nkd(1,0,1,0,0,1,0,0,1,1,0,1,0) =         88 /       1415 == 0.0621908127 =/= 0.0621908756
     nke(1,0,0,1,0,1,0,1,0,0,1,1,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,0,0,1,0,1,1,0,0,1,1,0) =       -505 /        996 == -0.5070281124 =/= -0.5070279218
     nkd(1,0,1,0,0,1,0,0,1,1,0,0,1) =         88 /       1415 == 0.0621908127 =/= 0.0621908756
     nke(1,0,0,1,0,1,0,1,0,0,1,0,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,1,0,0,0,1,0,1,1,0,1,0) =       -163 /       1009 == -0.1615460852 =/= -0.1615464461
     nkd(1,0,1,0,0,1,0,0,1,1,0,0,0) =         88 /       1415 == 0.0621908127 =/= 0.0621908756
     nke(1,0,0,1,0,1,0,1,0,0,1,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,1,0,0,0,1,0,0,1,0,1,0) =         49 /       1018 == 0.0481335953 =/= 0.0481338451
     nke(1,0,0,1,0,0,1,1,0,0,1,1,0) =        -35 /       1474 == -0.0237449118 =/= -0.0237447078
     nke(1,0,1,0,0,0,1,0,1,0,1,1,0) =       -163 /       1009 == -0.1615460852 =/= -0.1615464461
     nke(1,0,1,0,0,0,1,0,0,0,1,1,0) =         49 /       1018 == 0.0481335953 =/= 0.0481338451
     nkd(1,0,0,0,1,1,1,0,0,0,1,1,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(1,0,1,0,0,1,0,0,1,0,0,1,1) =       -530 /       1047 == -0.5062082139 =/= -0.5062084702
     nke(1,0,0,1,0,0,0,1,0,0,1,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,1,0,0,0,1,1,1,0,0,1,0) =       -132 /       1339 == -0.0985810306 =/= -0.0985810944
     nkd(1,0,0,0,1,1,0,0,0,0,1,1,0) =       -430 /       1207 == -0.3562551781 =/= -0.3562555560
     nkd(1,0,1,0,0,1,0,0,1,0,0,1,0) =       -289 /       1333 == -0.2168042011 =/= -0.2168043630
     nkd(1,0,1,0,0,1,0,0,1,0,0,0,1) =       -129 /        775 == -0.1664516129 =/= -0.1664519448
     nke(1,0,0,1,0,0,0,1,0,0,1,0,1) =         -2 /        791 == -0.0025284450 =/= -0.0025287857
     nke(1,0,1,0,0,0,1,0,1,0,0,1,0) =       -163 /       1009 == -0.1615460852 =/= -0.1615464461
     nkd(1,0,0,0,1,0,0,0,0,0,1,1,0) =       -593 /       1215 == -0.4880658436 =/= -0.4880653926
     nkd(1,0,1,0,0,1,0,0,1,0,0,0,0) =       -129 /        775 == -0.1664516129 =/= -0.1664519448
     nke(1,0,0,1,0,0,0,1,0,0,1,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,1,0,0,0,1,0,0,0,0,1,0) =         49 /       1018 == 0.0481335953 =/= 0.0481338451
     nke(1,0,0,1,0,1,1,1,0,0,0,1,0) =       -302 /       1243 == -0.2429605792 =/= -0.2429603398
     nkd(1,0,0,0,1,0,1,1,1,0,0,1,0) =       -852 /       1415 == -0.6021201413 =/= -0.6021203129
     nkd(1,0,1,0,0,1,0,0,0,1,1,0,1) =        266 /       1483 == 0.1793661497 =/= 0.1793657263
     nke(1,0,0,1,0,1,1,1,0,0,0,0,1) =          4 /        937 == 0.0042689434 =/= 0.0042687189
     nkd(1,0,0,0,1,0,0,1,1,0,0,1,0) =       -488 /       1149 == -0.4247171453 =/= -0.4247174191
     nkd(1,0,1,0,0,1,0,0,0,1,1,0,0) =        266 /       1483 == 0.1793661497 =/= 0.1793657263
     nke(1,0,0,1,0,1,1,1,0,0,0,0,0) =          4 /        937 == 0.0042689434 =/= 0.0042687189
     nkd(1,0,0,0,1,1,1,1,0,0,0,1,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nke(1,0,0,1,0,1,0,1,0,0,0,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,0,1,0,1,0,1,0,0,0,0,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,1,0,0,1,0,0,0,1,0,0,0) =        266 /       1483 == 0.1793661497 =/= 0.1793657263
     nke(1,0,0,1,0,1,0,1,0,0,0,0,0) =       -263 /       1174 == -0.2240204429 =/= -0.2240204962
     nkd(1,0,1,0,0,1,0,0,0,0,1,1,1) =       -441 /        971 == -0.4541709578 =/= -0.4541708543
     nkd(1,0,0,0,1,1,0,0,1,0,0,1,0) =       -530 /       1291 == -0.4105344694 =/= -0.4105345626
     nkd(1,0,1,0,0,1,0,0,0,0,1,1,0) =       -127 /       1110 == -0.1144144144 =/= -0.1144143289
     nkd(1,0,0,0,1,1,1,0,0,0,0,1,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nke(1,0,0,1,0,0,0,1,0,0,0,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,1,0,0,1,0,0,0,0,0,0,1) =        -74 /       1289 == -0.0574088441 =/= -0.0574085651
     nke(1,0,0,1,0,0,0,1,0,0,0,0,1) =         -2 /        791 == -0.0025284450 =/= -0.0025287857
     nkd(1,0,1,0,0,1,0,0,0,0,0,0,0) =        -74 /       1289 == -0.0574088441 =/= -0.0574085651
     nke(1,0,0,1,0,0,0,1,0,0,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,0,1,0,1,0,0,1,1,1,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,0,1,0,1,0,0,1,1,1,1,0) =         -9 /       1012 == -0.0088932806 =/= -0.0088934172
     nke(1,0,1,0,0,1,1,1,0,1,0,0,1) =       -193 /       1239 == -0.1557707829 =/= -0.1557708490
     nkd(1,0,1,0,0,0,1,1,1,1,0,0,1) =       -428 /       1061 == -0.4033930254 =/= -0.4033930809
     nke(1,0,0,1,0,1,0,0,1,1,1,0,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,1,0,0,1,1,0,1,1,0,0,1) =       -148 /       1149 == -0.1288076588 =/= -0.1288078186
     nkd(1,0,0,0,1,0,0,1,0,1,1,0,1) =       -665 /       1303 == -0.5103607061 =/= -0.5103604637
     nkd(1,0,1,0,0,0,1,1,1,1,0,0,0) =       -655 /       1497 == -0.4375417502 =/= -0.4375415133
     nke(1,0,0,1,0,1,0,0,1,1,1,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,0,0,1,1,0,1,1,1,0,0,1) =       -127 /        754 == -0.1684350133 =/= -0.1684353526
     nkd(1,0,0,0,1,0,1,1,1,1,0,0,1) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nke(1,0,0,1,0,1,1,0,1,1,0,0,1) =        -59 /       1152 == -0.0512152778 =/= -0.0512151308
     nke(1,0,0,1,0,1,1,0,1,1,0,0,0) =        -50 /       1479 == -0.0338066261 =/= -0.0338065656
     nkd(1,0,0,0,1,1,1,1,0,1,0,0,1) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nke(1,0,0,1,0,1,0,0,1,1,0,1,1) =       -439 /       1300 == -0.3376923077 =/= -0.3376918714
     nkd(1,0,1,0,0,0,1,1,0,1,0,1,0) =       -441 /       1391 == -0.3170381021 =/= -0.3170380775
     nke(1,0,0,1,0,1,0,0,1,1,0,1,0) =         -9 /       1012 == -0.0088932806 =/= -0.0088934172
     nke(1,0,0,1,0,1,0,0,1,1,0,0,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nkd(1,0,0,0,1,0,0,1,0,1,0,0,1) =       -665 /       1303 == -0.5103607061 =/= -0.5103604637
     nke(1,0,0,1,0,1,0,0,1,1,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,0,1,0,1,1,0,1,0,1,1,1) =        -59 /       1152 == -0.0512152778 =/= -0.0512151308
     nke(1,0,1,0,0,0,1,1,0,1,1,0,1) =       -219 /       1394 == -0.1571018651 =/= -0.1571017819
     nke(1,0,0,1,0,1,1,0,1,0,1,0,1) =        -59 /       1152 == -0.0512152778 =/= -0.0512151308
     nke(1,0,1,0,0,0,1,0,1,1,1,0,1) =       -237 /       1280 == -0.1851562500 =/= -0.1851562273
     nke(1,0,0,1,0,1,1,0,1,0,1,0,0) =        -50 /       1479 == -0.0338066261 =/= -0.0338065656
     nke(1,0,1,0,0,0,1,0,0,1,1,0,1) =         45 /       1246 == 0.0361155698 =/= 0.0361152218
     nkd(1,0,0,0,1,1,1,1,0,0,1,0,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(1,0,1,0,0,0,1,0,1,1,0,1,1) =        -58 /        895 == -0.0648044693 =/= -0.0648047323
     nke(1,0,0,1,0,1,0,0,1,0,1,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,1,0,0,0,1,1,1,1,0,0,1) =       -709 /       1313 == -0.5399847677 =/= -0.5399848323
     nkd(1,0,0,0,1,1,0,1,0,0,1,0,1) =       -417 /       1336 == -0.3121257485 =/= -0.3121255886
     nke(1,0,0,1,0,1,0,0,1,0,1,1,0) =         -9 /       1012 == -0.0088932806 =/= -0.0088934172
     nkd(1,0,0,0,1,0,1,1,0,0,1,0,1) =       -530 /       1487 == -0.3564223268 =/= -0.3564225326
     nkd(1,0,1,0,0,0,1,0,1,1,0,0,1) =        -58 /        895 == -0.0648044693 =/= -0.0648047323
     nke(1,0,0,1,0,1,0,0,1,0,1,0,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,1,0,0,0,1,0,1,1,0,0,1) =       -237 /       1280 == -0.1851562500 =/= -0.1851562273
     nkd(1,0,1,0,0,0,1,0,1,1,0,0,0) =       -181 /       1194 == -0.1515912898 =/= -0.1515910260
     nke(1,0,0,1,0,1,0,0,1,0,1,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,1,0,0,0,1,0,0,1,0,0,1) =         45 /       1246 == 0.0361155698 =/= 0.0361152218
     nke(1,0,0,1,0,1,1,0,1,0,0,1,1) =        -59 /       1152 == -0.0512152778 =/= -0.0512151308
     nke(1,0,1,0,0,0,0,1,1,1,1,0,1) =       -169 /       1050 == -0.1609523810 =/= -0.1609521360
     nke(1,0,1,0,0,0,0,1,0,1,1,0,1) =        -99 /        944 == -0.1048728814 =/= -0.1048731848
     nkd(1,0,0,0,1,0,1,1,1,0,0,0,1) =       -518 /       1359 == -0.3811626196 =/= -0.3811625054
     nke(1,0,0,1,0,1,1,0,1,0,0,0,1) =        -59 /       1152 == -0.0512152778 =/= -0.0512151308
     nke(1,0,1,0,0,0,0,0,1,1,1,0,1) =       -181 /       1079 == -0.1677479147 =/= -0.1677476622
     nkd(1,0,0,0,1,0,0,1,1,0,0,0,1) =       -303 /       1370 == -0.2211678832 =/= -0.2211681768
     nke(1,0,0,1,0,1,1,0,1,0,0,0,0) =        -50 /       1479 == -0.0338066261 =/= -0.0338065656
     nke(1,0,1,0,0,0,0,0,0,1,1,0,1) =       -516 /       1495 == -0.3451505017 =/= -0.3451505559
     nkd(1,0,0,0,1,1,1,1,0,0,0,0,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(1,0,1,0,0,0,1,0,0,1,0,1,1) =       -569 /       1282 == -0.4438377535 =/= -0.4438374286
     nke(1,0,0,1,0,1,0,0,1,0,0,1,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,1,0,0,0,0,1,1,1,0,0,1) =       -169 /       1050 == -0.1609523810 =/= -0.1609521360
     nke(1,0,0,1,0,1,0,0,1,0,0,1,0) =         -9 /       1012 == -0.0088932806 =/= -0.0088934172
     nkd(1,0,1,0,0,0,1,0,0,1,0,0,1) =        -58 /        895 == -0.0648044693 =/= -0.0648047323
     nke(1,0,0,1,0,1,0,0,1,0,0,0,1) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,1,0,0,0,0,0,1,1,0,0,1) =       -181 /       1079 == -0.1677479147 =/= -0.1677476622
     nkd(1,0,1,0,0,0,1,0,0,1,0,0,0) =        -58 /        895 == -0.0648044693 =/= -0.0648047323
     nke(1,0,0,1,0,1,0,0,1,0,0,0,0) =         -9 /       1295 == -0.0069498069 =/= -0.0069498411
     nke(1,0,1,0,0,0,0,0,0,1,0,0,1) =       -516 /       1495 == -0.3451505017 =/= -0.3451505559
     nke(1,0,0,1,0,1,1,0,0,1,1,0,0) =          4 /        937 == 0.0042689434 =/= 0.0042687189
     nke(1,0,1,0,0,1,1,0,0,1,1,0,0) =        155 /       1087 == 0.1425942962 =/= 0.1425938089
     nkd(1,0,1,0,0,0,0,1,1,1,0,1,1) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nkd(1,0,1,0,0,0,0,1,1,1,0,1,0) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nke(1,0,0,1,0,1,0,0,0,1,1,1,0) =         -2 /       1029 == -0.0019436346 =/= -0.0019435761
     nkd(1,0,1,0,0,0,0,1,1,1,0,0,1) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nke(1,0,1,0,0,1,1,0,1,1,0,0,0) =       -501 /       1340 == -0.3738805970 =/= -0.3738804258
     nkd(1,0,0,0,1,0,0,1,0,1,1,0,0) =       -665 /       1303 == -0.5103607061 =/= -0.5103604637
     nkd(1,0,1,0,0,0,0,1,1,1,0,0,0) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nke(1,0,1,0,0,1,1,0,0,1,0,0,0) =         77 /       1236 == 0.0622977346 =/= 0.0622974452
     nke(1,0,0,1,0,1,1,0,0,1,0,1,1) =        -19 /       1446 == -0.0131396957 =/= -0.0131398462
     nkd(1,0,0,0,1,1,0,1,1,1,0,0,0) =       -127 /        754 == -0.1684350133 =/= -0.1684353526
     nke(1,0,0,1,0,1,1,0,0,1,0,1,0) =          4 /        937 == 0.0042689434 =/= 0.0042687189
     nkd(1,0,0,0,1,0,1,1,1,1,0,0,0) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nke(1,0,0,1,0,1,1,0,0,1,0,0,1) =        -19 /       1446 == -0.0131396957 =/= -0.0131398462
     nke(1,0,1,0,0,1,0,0,1,1,1,0,0) =       -522 /       1217 == -0.4289235826 =/= -0.4289234888
     nke(1,0,0,1,0,1,1,0,0,1,0,0,0) =          4 /        937 == 0.0042689434 =/= 0.0042687189
     nke(1,0,1,0,0,1,0,0,0,1,1,0,0) =        -59 /        984 == -0.0599593496 =/= -0.0599593769
     nkd(1,0,0,0,1,1,1,1,0,1,0,0,0) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nke(1,0,1,0,0,1,0,1,1,1,0,0,0) =       -476 /       1243 == -0.3829444891 =/= -0.3829449083
     nke(1,0,0,1,0,1,0,0,0,1,0,1,0) =         -2 /       1029 == -0.0019436346 =/= -0.0019435761
     nke(1,0,1,0,0,1,0,1,0,1,0,0,0) =       -163 /        792 == -0.2058080808 =/= -0.2058080428
     nke(1,0,1,0,0,1,0,0,1,1,0,0,0) =       -248 /        795 == -0.3119496855 =/= -0.3119501708
     nkd(1,0,0,0,1,0,0,1,0,1,0,0,0) =       -665 /       1303 == -0.5103607061 =/= -0.5103604637
     nke(1,0,0,1,0,1,1,0,0,0,1,1,1) =        -19 /       1446 == -0.0131396957 =/= -0.0131398462
     nke(1,0,0,1,0,1,1,0,0,0,1,1,0) =          4 /        937 == 0.0042689434 =/= 0.0042687189
     nke(1,0,0,1,0,1,1,0,0,0,1,0,1) =        -19 /       1446 == -0.0131396957 =/= -0.0131398462
     nke(1,0,1,0,0,0,1,0,1,1,1,0,0) =       -347 /       1304 == -0.2661042945 =/= -0.2661040109
     nke(1,0,0,1,0,1,1,0,0,0,1,0,0) =          4 /        937 == 0.0042689434 =/= 0.0042687189
     nkd(1,0,0,0,1,1,1,1,0,0,1,0,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(1,0,1,0,0,0,0,0,1,1,0,1,1) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nkd(1,0,1,0,0,0,0,0,1,1,0,1,0) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nke(1,0,0,1,0,1,0,0,0,0,1,1,0) =         -2 /       1029 == -0.0019436346 =/= -0.0019435761
     nkd(1,0,0,0,1,0,1,1,0,0,1,0,0) =       -234 /        785 == -0.2980891720 =/= -0.2980887377
     nkd(1,0,1,0,0,0,0,0,1,1,0,0,1) =       -230 /       1257 == -0.1829753381 =/= -0.1829752437
     nke(1,0,1,0,0,0,1,0,1,1,0,0,0) =       -116 /        877 == -0.1322690992 =/= -0.1322693520
     nkd(1,0,1,0,0,0,0,0,1,1,0,0,0) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nke(1,0,0,1,0,1,0,0,0,0,1,0,0) =        -20 /       1373 == -0.0145666424 =/= -0.0145662697
     nke(1,0,1,0,0,0,1,0,0,1,0,0,0) =         55 /        958 == 0.0574112735 =/= 0.0574109392
     nkd(1,0,1,0,0,0,0,0,0,1,1,1,1) =       -767 /       1444 == -0.5311634349 =/= -0.5311631649
     nke(1,0,0,1,0,1,1,0,0,0,0,1,1) =        -19 /       1446 == -0.0131396957 =/= -0.0131398462
     nkd(1,0,1,0,0,0,0,0,0,1,1,1,0) =       -270 /       1013 == -0.2665350444 =/= -0.2665353012
     nke(1,0,0,1,0,1,1,0,0,0,0,1,0) =          4 /        937 == 0.0042689434 =/= 0.0042687189
     nke(1,0,1,0,0,0,0,1,0,1,1,0,0) =          4 /       1197 == 0.0033416876 =/= 0.0033416426
     nkd(1,0,1,0,0,0,0,0,0,1,1,0,1) =       -187 /       1117 == -0.1674127126 =/= -0.1674130495
     nke(1,0,0,1,0,1,1,0,0,0,0,0,1) =        -19 /       1446 == -0.0131396957 =/= -0.0131398462
     nke(1,0,1,0,0,0,0,0,1,1,1,0,0) =        -87 /       1172 == -0.0742320819 =/= -0.0742319208
     nke(1,0,0,1,0,1,1,0,0,0,0,0,0) =          4 /        937 == 0.0042689434 =/= 0.0042687189
     nkd(1,0,0,0,1,1,1,1,0,0,0,0,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nke(1,0,0,1,0,1,0,0,0,0,0,1,0) =         -2 /       1029 == -0.0019436346 =/= -0.0019435761
     nke(1,0,1,0,0,0,0,1,0,1,0,0,0) =          4 /       1197 == 0.0033416876 =/= 0.0033416426
     nkd(1,0,1,0,0,0,0,0,0,1,0,0,1) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nke(1,0,1,0,0,0,0,0,1,1,0,0,0) =        -87 /       1172 == -0.0742320819 =/= -0.0742319208
     nkd(1,0,1,0,0,0,0,0,0,1,0,0,0) =       -217 /       1313 == -0.1652703732 =/= -0.1652703148
     nkd(1,0,0,0,0,1,1,1,1,1,1,_,_) =          2 /       1255 == 0.0015936255 =/= 0.0015939276
     nke(1,0,0,0,0,1,1,1,1,1,1,_,_) =       -459 /       1489 == -0.3082605776 =/= -0.3082605943
     nke(1,0,0,0,0,1,1,1,0,1,1,1,1) =       -193 /       1239 == -0.1557707829 =/= -0.1557708490
     nkd(1,0,0,0,0,0,0,1,1,1,1,1,1) =       -510 /        961 == -0.5306971904 =/= -0.5306967910
     nke(1,0,0,0,0,1,1,0,0,1,1,1,1) =        179 /        799 == 0.2240300375 =/= 0.2240301244
     nkd(1,0,0,0,0,1,1,1,1,1,0,1,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nke(1,0,0,0,0,1,0,1,1,1,1,1,1) =       -606 /       1237 == -0.4898949070 =/= -0.4898946174
     nke(1,0,0,0,0,1,1,1,1,1,0,1,1) =       -140 /       1149 == -0.1218450827 =/= -0.1218447882
     nkd(1,0,0,0,0,1,1,1,1,1,0,1,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nke(1,0,0,0,0,1,0,1,1,1,1,1,0) =       -430 /       1457 == -0.2951269732 =/= -0.2951269471
     nke(1,0,0,0,0,1,1,1,0,1,0,1,1) =       -193 /       1239 == -0.1557707829 =/= -0.1557708490
     nkd(1,0,0,0,0,0,1,1,0,1,1,1,1) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nkd(1,0,0,0,0,1,1,1,1,1,0,0,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nke(1,0,0,0,0,1,0,1,1,1,1,0,1) =       -509 /       1198 == -0.4248747913 =/= -0.4248751632
     nke(1,0,0,0,0,1,1,0,1,1,0,1,1) =       -148 /       1149 == -0.1288076588 =/= -0.1288078186
     nkd(1,0,0,0,0,1,1,1,1,1,0,0,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(1,0,0,0,0,1,1,0,1,1,1,1,1) =          2 /       1255 == 0.0015936255 =/= 0.0015939276
     nke(1,0,0,0,0,1,1,1,1,0,1,1,1) =       -464 /        913 == -0.5082146769 =/= -0.5082146955
     nke(1,0,0,0,0,1,1,1,0,0,1,1,1) =       -193 /       1239 == -0.1557707829 =/= -0.1557708490
     nkd(1,0,0,0,0,0,1,0,1,1,1,1,1) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nke(1,0,0,0,0,1,1,0,1,0,1,1,1) =       -148 /       1149 == -0.1288076588 =/= -0.1288078186
     nkd(1,0,0,0,0,0,0,0,1,1,1,1,1) =       -502 /       1025 == -0.4897560976 =/= -0.4897562616
     nke(1,0,0,0,0,0,1,1,1,1,1,0,0) =       -513 /       1103 == -0.4650951949 =/= -0.4650955565
     nkd(1,0,0,0,0,1,0,0,0,1,1,1,1) =        -54 /       1157 == -0.0466724287 =/= -0.0466723381
     nke(1,0,0,0,0,0,0,1,1,1,1,1,0) =       -141 /       1219 == -0.1156685808 =/= -0.1156686319
     nke(1,0,0,0,0,1,1,0,1,0,0,1,1) =       -148 /       1149 == -0.1288076588 =/= -0.1288078186
     nkd(1,0,0,0,0,0,0,0,0,1,1,1,1) =       -502 /       1025 == -0.4897560976 =/= -0.4897562616
     nke(1,0,0,0,0,0,0,1,1,1,1,0,0) =        -56 /       1069 == -0.0523854069 =/= -0.0523856817
     nkd(1,0,0,0,0,1,0,1,1,1,0,1,1) =       -137 /        761 == -0.1800262812 =/= -0.1800265105
     nke(1,0,0,0,0,1,0,1,0,1,1,1,1) =       -243 /       1039 == -0.2338787295 =/= -0.2338787111
     nke(1,0,0,0,0,1,1,1,1,1,0,1,0) =       -279 /       1399 == -0.1994281630 =/= -0.1994281117
     nkd(1,0,0,0,0,0,0,1,1,1,0,1,1) =       -510 /        961 == -0.5306971904 =/= -0.5306967910
     nke(1,0,0,0,0,1,1,1,1,1,0,0,0) =        -25 /       1376 == -0.0181686047 =/= -0.0181685330
     nkd(1,0,0,0,0,1,1,1,0,1,0,1,1) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nke(1,0,0,0,0,1,0,1,1,1,0,1,1) =       -410 /       1351 == -0.3034789045 =/= -0.3034788114
     nkd(1,0,0,0,0,1,1,1,0,1,0,1,0) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nke(1,0,0,0,0,1,0,1,0,1,0,1,1) =       -243 /       1039 == -0.2338787295 =/= -0.2338787111
     nkd(1,0,0,0,0,0,1,1,0,1,0,1,1) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nkd(1,0,0,0,0,1,1,1,0,1,0,0,1) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nkd(1,0,0,0,0,1,1,1,0,1,0,0,0) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nkd(1,0,0,0,0,1,1,0,1,1,0,1,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(1,0,0,0,0,1,1,1,0,0,1,1,1) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nkd(1,0,0,0,0,1,0,0,1,1,0,1,1) =       -127 /        754 == -0.1684350133 =/= -0.1684353526
     nkd(1,0,0,0,0,1,1,1,0,0,1,1,0) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nke(1,0,0,0,0,0,1,1,1,1,0,1,0) =        -33 /        953 == -0.0346274921 =/= -0.0346274680
     nkd(1,0,0,0,0,0,1,0,1,1,0,1,1) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nkd(1,0,0,0,0,1,1,1,0,0,1,0,1) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nke(1,0,0,0,0,1,0,0,1,0,1,1,1) =       -503 /       1141 == -0.4408413672 =/= -0.4408414777
     nkd(1,0,0,0,0,0,0,0,1,1,0,1,1) =       -502 /       1025 == -0.4897560976 =/= -0.4897562616
     nkd(1,0,0,0,0,1,1,1,0,0,1,0,0) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nke(1,0,0,0,0,0,1,1,1,1,0,0,0) =        -65 /       1016 == -0.0639763780 =/= -0.0639768396
     nkd(1,0,0,0,0,1,1,0,0,1,0,1,1) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nkd(1,0,0,0,0,1,1,1,0,0,0,1,1) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nkd(1,0,0,0,0,1,1,1,0,0,0,1,0) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nke(1,0,0,0,0,0,0,1,1,1,0,1,0) =       -259 /        862 == -0.3004640371 =/= -0.3004637360
     nke(1,0,0,0,0,1,0,1,0,0,0,1,1) =       -243 /       1039 == -0.2338787295 =/= -0.2338787111
     nkd(1,0,0,0,0,1,1,1,0,0,0,0,1) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nke(1,0,0,0,0,0,0,1,1,1,0,0,1) =       -114 /       1145 == -0.0995633188 =/= -0.0995633021
     nke(1,0,0,0,0,1,0,0,1,0,0,1,1) =       -503 /       1141 == -0.4408413672 =/= -0.4408414777
     nkd(1,0,0,0,0,0,0,0,0,1,0,1,1) =       -502 /       1025 == -0.4897560976 =/= -0.4897562616
     nkd(1,0,0,0,0,1,1,1,0,0,0,0,0) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nke(1,0,0,0,0,0,0,1,1,1,0,0,0) =        -56 /       1069 == -0.0523854069 =/= -0.0523856817
     nke(1,0,0,0,0,1,0,0,0,0,0,1,1) =        -78 /       1147 == -0.0680034874 =/= -0.0680035347
     nkd(1,0,0,0,0,1,0,1,1,0,1,1,1) =       -407 /        833 == -0.4885954382 =/= -0.4885956027
     nkd(1,0,0,0,0,1,1,0,1,1,1,1,0) =          2 /       1255 == 0.0015936255 =/= 0.0015939276
     nkd(1,0,0,0,0,1,1,0,1,1,0,1,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nke(1,0,0,0,0,0,1,1,1,0,1,1,0) =       -213 /        908 == -0.2345814978 =/= -0.2345815693
     nkd(1,0,0,0,0,1,1,0,0,0,1,1,1) =       -365 /        887 == -0.4114994363 =/= -0.4114993603
     nkd(1,0,0,0,0,1,0,0,0,0,1,1,1) =       -555 /       1318 == -0.4210925645 =/= -0.4210927340
     nke(1,0,0,0,0,0,0,1,1,0,1,1,0) =       -141 /       1219 == -0.1156685808 =/= -0.1156686319
     nke(1,0,0,0,0,1,1,1,1,0,0,1,0) =       -213 /        908 == -0.2345814978 =/= -0.2345815693
     nkd(1,0,0,0,0,1,0,1,0,0,0,1,1) =       -497 /       1322 == -0.3759455371 =/= -0.3759453435
     nkd(1,0,0,0,0,1,1,0,0,1,0,1,0) =         -3 /        941 == -0.0031880978 =/= -0.0031878553
     nkd(1,0,0,0,0,1,1,0,0,0,1,1,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nke(1,0,0,0,0,0,1,1,1,0,0,1,0) =       -202 /        867 == -0.2329873126 =/= -0.2329876416
     nkd(1,0,0,0,0,1,0,0,0,0,0,1,1) =       -609 /       1291 == -0.4717273431 =/= -0.4717274034
     nkd(1,0,0,0,0,1,1,0,0,0,0,1,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nke(1,0,0,0,0,0,0,1,1,0,0,1,0) =       -141 /       1219 == -0.1156685808 =/= -0.1156686319
     nke(1,0,0,0,0,1,1,1,0,1,1,1,0) =       -193 /       1239 == -0.1557707829 =/= -0.1557708490
     nke(1,0,0,0,0,1,1,1,0,1,1,0,1) =       -193 /       1239 == -0.1557707829 =/= -0.1557708490
     nkd(1,0,0,0,0,0,0,1,1,1,1,1,0) =       -510 /        961 == -0.5306971904 =/= -0.5306967910
     nkd(1,0,0,0,0,1,0,1,1,1,0,1,0) =       -137 /        761 == -0.1800262812 =/= -0.1800265105
     nke(1,0,0,0,0,1,0,1,0,1,1,1,0) =         -2 /       1081 == -0.0018501388 =/= -0.0018505915
     nke(1,0,0,0,0,1,1,1,0,1,0,1,0) =       -361 /       1334 == -0.2706146927 =/= -0.2706146217
     nkd(1,0,0,0,0,0,1,1,0,1,1,1,0) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nkd(1,0,0,0,0,1,0,1,1,1,0,0,1) =       -349 /       1232 == -0.2832792208 =/= -0.2832791253
     nke(1,0,0,0,0,1,0,1,0,1,1,0,1) =       -127 /       1138 == -0.1115992970 =/= -0.1115988077
     nke(1,0,0,0,0,1,1,0,1,1,0,1,0) =       -209 /       1303 == -0.1603990790 =/= -0.1603989765
     nkd(1,0,0,0,0,1,0,1,1,1,0,0,0) =       -137 /        761 == -0.1800262812 =/= -0.1800265105
     nke(1,0,0,0,0,1,1,0,0,1,0,1,0) =         80 /        897 == 0.0891861761 =/= 0.0891863517
     nke(1,0,0,0,0,1,1,1,0,0,1,1,0) =       -193 /       1239 == -0.1557707829 =/= -0.1557708490
     nkd(1,0,0,0,0,0,1,0,1,1,1,1,0) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nke(1,0,0,0,0,0,1,1,0,1,1,0,1) =        -85 /       1048 == -0.0811068702 =/= -0.0811069785
     nke(1,0,0,0,0,1,1,0,1,0,1,1,0) =       -209 /       1303 == -0.1603990790 =/= -0.1603989765
     nkd(1,0,0,0,0,0,0,0,1,1,1,1,0) =       -502 /       1025 == -0.4897560976 =/= -0.4897562616
     nkd(1,0,0,0,0,1,0,0,0,1,1,1,0) =        -54 /       1157 == -0.0466724287 =/= -0.0466723381
     nke(1,0,0,0,0,0,0,1,0,1,1,1,0) =        -47 /       1047 == -0.0448901624 =/= -0.0448905947
     nke(1,0,0,0,0,1,1,0,1,0,0,1,0) =       -209 /       1303 == -0.1603990790 =/= -0.1603989765
     nkd(1,0,0,0,0,0,0,0,0,1,1,1,0) =       -502 /       1025 == -0.4897560976 =/= -0.4897562616
     nke(1,0,0,0,0,0,0,1,0,1,1,0,0) =         27 /       1468 == 0.0183923706 =/= 0.0183923555
     nke(1,0,0,0,0,1,1,0,0,0,0,1,0) =        304 /       1431 == 0.2124388539 =/= 0.2124389665
     nke(1,0,0,0,0,1,0,0,1,1,1,1,0) =       -235 /       1056 == -0.2225378788 =/= -0.2225382820
     nke(1,0,0,0,0,1,1,1,0,1,0,0,1) =       -193 /       1239 == -0.1557707829 =/= -0.1557708490
     nkd(1,0,0,0,0,0,0,1,1,1,0,1,0) =       -510 /        961 == -0.5306971904 =/= -0.5306967910
     nke(1,0,0,0,0,1,1,1,0,1,0,0,0) =       -193 /       1239 == -0.1557707829 =/= -0.1557708490
     nkd(1,0,0,0,0,0,1,1,0,1,0,1,0) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nke(1,0,0,0,0,1,0,0,1,1,0,1,0) =       -291 /       1147 == -0.2537053182 =/= -0.2537057993
     nke(1,0,0,0,0,1,0,1,0,1,0,0,1) =       -127 /       1138 == -0.1115992970 =/= -0.1115988077
     nke(1,0,0,0,0,1,0,0,0,1,0,1,0) =         80 /        807 == 0.0991325898 =/= 0.0991321437
     nkd(1,0,0,0,0,1,0,0,1,1,0,1,0) =       -127 /        754 == -0.1684350133 =/= -0.1684353526
     nke(1,0,0,0,0,1,0,1,0,0,1,1,0) =         -2 /       1081 == -0.0018501388 =/= -0.0018505915
     nkd(1,0,0,0,0,0,1,0,1,1,0,1,0) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nkd(1,0,0,0,0,1,0,1,0,0,1,0,1) =       -283 /        844 == -0.3353080569 =/= -0.3353079044
     nke(1,0,0,0,0,0,1,1,0,1,0,0,1) =        -85 /       1048 == -0.0811068702 =/= -0.0811069785
     nke(1,0,0,0,0,1,0,0,1,0,1,1,0) =       -144 /       1037 == -0.1388621022 =/= -0.1388620267
     nkd(1,0,0,0,0,0,0,0,1,1,0,1,0) =       -502 /       1025 == -0.4897560976 =/= -0.4897562616
     nkd(1,0,0,0,0,1,0,1,0,0,0,1,0) =       -497 /       1322 == -0.3759455371 =/= -0.3759453435
     nke(1,0,0,0,0,1,0,1,0,0,0,1,0) =         -2 /       1081 == -0.0018501388 =/= -0.0018505915
     nkd(1,0,0,0,0,1,0,1,0,0,0,0,1) =       -497 /       1322 == -0.3759455371 =/= -0.3759453435
     nke(1,0,0,0,0,1,0,0,1,0,0,1,0) =       -144 /       1037 == -0.1388621022 =/= -0.1388620267
     nkd(1,0,0,0,0,0,0,0,0,1,0,1,0) =       -502 /       1025 == -0.4897560976 =/= -0.4897562616
     nkd(1,0,0,0,0,1,0,1,0,0,0,0,0) =       -497 /       1322 == -0.3759455371 =/= -0.3759453435
     nke(1,0,0,0,0,0,0,1,0,1,0,0,0) =         27 /       1468 == 0.0183923706 =/= 0.0183923555
     nke(1,0,0,0,0,0,0,1,0,0,1,1,0) =        -47 /       1047 == -0.0448901624 =/= -0.0448905947
     nkd(1,0,0,0,0,1,0,0,0,0,0,1,0) =       -338 /       1351 == -0.2501850481 =/= -0.2501849141
     nke(1,0,0,0,0,0,0,1,0,0,0,1,0) =        -61 /       1080 == -0.0564814815 =/= -0.0564817526
     nkd(1,0,0,0,0,0,0,1,1,1,1,0,1) =       -510 /        961 == -0.5306971904 =/= -0.5306967910
     nke(1,0,0,0,0,1,1,0,1,1,1,0,0) =       -148 /       1149 == -0.1288076588 =/= -0.1288078186
     nkd(1,0,0,0,0,0,1,1,0,1,1,0,1) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nke(1,0,0,0,0,1,0,0,1,1,1,0,1) =       -313 /       1259 == -0.2486100079 =/= -0.2486102428
     nkd(1,0,0,0,0,0,0,1,1,1,0,0,1) =       -510 /        961 == -0.5306971904 =/= -0.5306967910
     nkd(1,0,0,0,0,0,1,1,0,1,1,0,0) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nke(1,0,0,0,0,1,0,0,0,1,1,0,1) =        143 /       1372 == 0.1042274052 =/= 0.1042277002
     nke(1,0,0,0,0,1,1,0,1,1,0,0,0) =       -148 /       1149 == -0.1288076588 =/= -0.1288078186
     nkd(1,0,0,0,0,0,1,1,0,1,0,0,1) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nke(1,0,0,0,0,1,0,0,1,1,0,0,1) =       -313 /       1259 == -0.2486100079 =/= -0.2486102428
     nkd(1,0,0,0,0,0,1,1,0,1,0,0,0) =        -49 /        844 == -0.0580568720 =/= -0.0580564239
     nke(1,0,0,0,0,1,0,0,0,1,0,0,1) =        143 /       1372 == 0.1042274052 =/= 0.1042277002
     nke(1,0,0,0,0,1,0,0,1,1,0,0,0) =       -334 /       1171 == -0.2852263023 =/= -0.2852266582
     nkd(1,0,0,0,0,0,0,1,1,1,1,0,0) =       -643 /        992 == -0.6481854839 =/= -0.6481851515
     nkd(1,0,0,0,0,0,0,1,1,1,0,0,0) =       -510 /        961 == -0.5306971904 =/= -0.5306967910
     nke(1,0,0,0,0,1,0,0,0,1,1,0,0) =        128 /       1461 == 0.0876112252 =/= 0.0876112848
     nkd(1,0,0,0,0,0,0,1,0,1,0,0,0) =       -565 /       1433 == -0.3942777390 =/= -0.3942779514
     nke(1,0,0,0,0,1,0,0,0,1,0,0,0) =        128 /       1461 == 0.0876112252 =/= 0.0876112848
     nkd(0,0,1,1,1,1,1,_,_,_,_,_,_) =        445 /       1258 == 0.3537360890 =/= 0.3537361347
     nkd(0,1,1,0,1,1,1,_,_,_,_,_,_) =         27 /       1373 == 0.0196649672 =/= 0.0196652554
     nke(0,0,1,1,1,1,0,1,1,_,_,_,_) =         13 /        980 == 0.0132653061 =/= 0.0132652765
     nke(0,0,1,1,1,0,0,1,1,1,1,_,_) =        -51 /       1498 == -0.0340453939 =/= -0.0340454240
     nke(0,0,1,1,1,0,0,1,1,0,1,1,1) =         13 /        980 == 0.0132653061 =/= 0.0132652765
     nke(0,1,1,1,0,0,0,1,1,1,1,_,_) =        -61 /        787 == -0.0775095299 =/= -0.0775091995
     nkd(0,0,1,1,1,1,0,1,1,_,_,_,_) =        401 /       1474 == 0.2720488467 =/= 0.2720486949
     nkd(0,0,1,1,1,1,0,1,0,0,1,1,1) =        445 /       1258 == 0.3537360890 =/= 0.3537361347
     nkd(0,0,1,1,1,1,0,0,1,1,1,_,_) =        196 /        967 == 0.2026887280 =/= 0.2026882444
     nkd(0,0,1,1,1,1,0,0,1,0,0,1,1) =        373 /       1166 == 0.3198970840 =/= 0.3198969915
     nke(0,0,1,1,1,0,0,1,1,1,0,1,0) =        -51 /       1498 == -0.0340453939 =/= -0.0340454240
     nkd(0,0,1,1,1,1,0,0,0,0,1,1,1) =        383 /        955 == 0.4010471204 =/= 0.4010468352
     nke(0,0,1,1,1,0,0,1,1,0,1,1,0) =        -51 /       1498 == -0.0340453939 =/= -0.0340454240
     nkd(0,0,1,1,1,1,0,0,0,0,0,1,1) =        539 /       1329 == 0.4055680963 =/= 0.4055685250
     nke(0,0,1,1,1,0,0,1,1,0,0,1,0) =        -51 /       1498 == -0.0340453939 =/= -0.0340454240
     nke(0,1,1,1,0,0,0,1,0,0,0,1,1) =         -6 /       1327 == -0.0045214770 =/= -0.0045216898
     nkd(0,0,1,1,1,0,1,1,1,_,_,_,_) =        357 /       1285 == 0.2778210117 =/= 0.2778208628
     nke(0,1,1,1,0,1,0,0,1,1,1,_,_) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nke(0,1,1,1,0,1,0,0,1,1,0,1,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(0,0,1,1,1,0,1,1,0,0,1,1,1) =        309 /        829 == 0.3727382388 =/= 0.3727386275
     nkd(0,0,1,1,1,0,1,1,0,0,0,1,1) =        411 /       1082 == 0.3798521257 =/= 0.3798517522
     nke(0,1,1,1,0,0,0,0,1,1,0,1,1) =        -24 /        919 == -0.0261153428 =/= -0.0261156175
     nkd(0,0,1,1,1,0,1,0,1,1,1,_,_) =        196 /        967 == 0.2026887280 =/= 0.2026882444
     nke(0,1,1,1,0,1,0,0,1,0,1,1,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(0,0,1,1,1,0,1,0,1,0,1,1,1) =        422 /       1237 == 0.3411479386 =/= 0.3411474696
     nke(0,1,1,1,0,0,0,0,1,0,1,1,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(0,0,1,1,1,0,1,0,0,1,0,1,1) =        549 /       1414 == 0.3882602546 =/= 0.3882605943
     nke(0,0,1,1,1,0,0,1,1,1,0,0,1) =        -27 /       1373 == -0.0196649672 =/= -0.0196652554
     nke(0,1,1,1,0,1,0,0,1,0,0,1,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nke(0,0,1,1,1,0,0,1,1,0,1,0,1) =        -27 /       1373 == -0.0196649672 =/= -0.0196652554
     nkd(0,0,1,1,1,0,1,0,0,0,0,1,1) =        549 /       1414 == 0.3882602546 =/= 0.3882605943
     nke(0,0,1,1,1,0,0,1,1,0,0,0,1) =        -27 /       1373 == -0.0196649672 =/= -0.0196652554
     nke(0,1,1,1,0,0,0,0,1,0,0,1,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(0,0,1,1,1,0,0,1,1,1,1,_,_) =        485 /       1448 == 0.3349447514 =/= 0.3349445390
     nkd(0,0,1,1,1,0,0,1,0,1,0,1,1) =        504 /        989 == 0.5096056623 =/= 0.5096060354
     nkd(0,0,1,1,1,0,0,1,0,0,1,1,1) =        445 /       1258 == 0.3537360890 =/= 0.3537361347
     nke(0,1,1,1,0,1,0,0,0,0,1,1,1) =        144 /       1445 == 0.0996539792 =/= 0.0996543083
     nkd(0,1,1,0,1,1,0,1,1,_,_,_,_) =       -219 /       1307 == -0.1675592961 =/= -0.1675595827
     nke(0,0,1,1,1,1,0,1,0,1,1,_,_) =        171 /        827 == 0.2067714631 =/= 0.2067712579
     nke(0,0,1,1,1,0,1,1,0,1,1,_,_) =        229 /       1304 == 0.1756134969 =/= 0.1756132368
     nke(0,0,1,1,1,0,0,1,0,1,1,1,1) =         24 /        977 == 0.0245649949 =/= 0.0245653464
     nkd(0,0,1,1,1,1,0,0,0,1,1,1,0) =        539 /       1329 == 0.4055680963 =/= 0.4055685250
     nke(0,0,1,1,1,0,0,1,0,1,1,0,1) =        -11 /       1315 == -0.0083650190 =/= -0.0083651855
     nkd(0,0,1,1,1,0,0,1,0,1,1,1,0) =        241 /       1405 == 0.1715302491 =/= 0.1715302233
     nkd(0,0,1,1,1,0,0,0,1,1,1,1,0) =        196 /        967 == 0.2026887280 =/= 0.2026882444
     nkd(0,1,1,0,1,1,0,1,0,1,1,_,_) =          6 /       1433 == 0.0041870202 =/= 0.0041869452
     nkd(0,0,1,1,1,0,0,1,1,1,0,1,0) =        287 /       1039 == 0.2762271415 =/= 0.2762269352
     nke(0,0,1,1,1,1,0,1,0,1,0,0,1) =        171 /        827 == 0.2067714631 =/= 0.2067712579
     nke(0,1,1,1,0,1,0,0,1,1,0,1,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(0,0,1,1,1,0,0,1,0,1,0,1,0) =        504 /        989 == 0.5096056623 =/= 0.5096060354
     nke(0,0,1,1,1,1,0,1,0,1,0,0,0) =        -69 /       1322 == -0.0521936460 =/= -0.0521936454
     nkd(0,0,1,1,1,1,0,0,1,1,0,1,0) =        411 /       1079 == 0.3809082484 =/= 0.3809078199
     nke(0,0,1,1,1,0,1,1,0,1,0,1,0) =          2 /       1265 == 0.0015810277 =/= 0.0015806064
     nkd(0,0,1,1,1,0,1,0,1,1,0,1,0) =        549 /       1414 == 0.3882602546 =/= 0.3882605943
     nke(0,1,1,1,0,1,0,0,1,0,1,1,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(0,1,1,0,1,1,0,1,0,0,0,1,1) =         11 /       1315 == 0.0083650190 =/= 0.0083651855
     nke(0,0,1,1,1,0,0,1,0,1,0,1,1) =         11 /       1467 == 0.0074982958 =/= 0.0074986481
     nkd(0,0,1,1,1,1,0,0,0,1,0,1,0) =        356 /        763 == 0.4665792923 =/= 0.4665793535
     nke(0,0,1,1,1,0,0,1,0,1,0,0,1) =        -11 /       1315 == -0.0083650190 =/= -0.0083651855
     nke(0,1,1,1,0,1,0,0,1,0,0,1,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(0,1,1,0,1,1,0,0,1,1,1,_,_) =         27 /       1373 == 0.0196649672 =/= 0.0196652554
     nke(0,0,1,1,1,1,0,1,0,0,1,1,1) =        141 /       1360 == 0.1036764706 =/= 0.1036762553
     nkd(0,0,1,1,1,1,0,1,0,0,1,1,0) =        522 /       1465 == 0.3563139932 =/= 0.3563142484
     nke(0,0,1,1,1,1,0,1,0,0,1,0,1) =        171 /        827 == 0.2067714631 =/= 0.2067712579
     nkd(0,0,1,1,1,0,0,1,0,0,1,1,0) =        445 /       1258 == 0.3537360890 =/= 0.3537361347
     nke(0,0,1,1,1,1,0,1,0,0,1,0,0) =        141 /       1360 == 0.1036764706 =/= 0.1036762553
     nke(0,0,1,1,1,0,1,1,0,0,1,1,1) =         30 /        911 == 0.0329308452 =/= 0.0329305319
     nke(0,0,1,1,1,0,1,1,0,0,1,1,0) =         89 /       1483 == 0.0600134862 =/= 0.0600133212
     nkd(0,0,1,1,1,0,1,0,1,0,1,1,0) =        422 /       1237 == 0.3411479386 =/= 0.3411474696
     nke(0,0,1,1,1,0,1,1,0,0,1,0,0) =        229 /       1304 == 0.1756134969 =/= 0.1756132368
     nkd(0,1,1,0,1,1,0,0,1,0,0,1,1) =         11 /       1315 == 0.0083650190 =/= 0.0083651855
     nke(0,0,1,1,1,0,0,1,0,0,1,1,1) =         24 /        977 == 0.0245649949 =/= 0.0245653464
     nkd(0,1,1,0,1,1,0,0,1,0,0,1,0) =          2 /       1243 == 0.0016090105 =/= 0.0016088316
     nkd(0,1,1,0,1,1,0,0,1,0,0,0,1) =         11 /       1315 == 0.0083650190 =/= 0.0083651855
     nke(0,0,1,1,1,0,0,1,0,0,1,0,1) =        -11 /       1315 == -0.0083650190 =/= -0.0083651855
     nkd(0,1,1,0,1,1,0,0,0,1,1,1,1) =          6 /       1433 == 0.0041870202 =/= 0.0041869452
     nke(0,1,1,1,0,0,0,0,1,1,1,1,0) =         16 /       1101 == 0.0145322434 =/= 0.0145322413
     nkd(0,1,1,0,1,1,0,0,0,1,0,1,1) =        -50 /       1277 == -0.0391542678 =/= -0.0391545655
     nke(0,0,1,1,1,1,0,1,0,0,0,1,1) =         24 /        881 == 0.0272417707 =/= 0.0272422480
     nkd(0,1,1,0,1,1,0,0,0,1,0,1,0) =        -50 /       1277 == -0.0391542678 =/= -0.0391545655
     nke(0,0,1,1,1,1,0,1,0,0,0,1,0) =         77 /       1376 == 0.0559593023 =/= 0.0559589285
     nkd(0,1,1,0,1,1,0,0,0,1,0,0,1) =        -50 /       1277 == -0.0391542678 =/= -0.0391545655
     nke(0,0,1,1,1,1,0,1,0,0,0,0,1) =        171 /        827 == 0.2067714631 =/= 0.2067712579
     nke(0,1,1,1,0,0,0,0,1,1,0,1,0) =         16 /       1101 == 0.0145322434 =/= 0.0145322413
     nkd(0,1,1,0,1,1,0,0,0,1,0,0,0) =        -50 /       1277 == -0.0391542678 =/= -0.0391545655
     nkd(0,0,1,1,1,1,0,0,1,0,0,1,0) =        373 /       1166 == 0.3198970840 =/= 0.3198969915
     nke(0,1,1,1,0,0,0,0,1,0,1,1,0) =         16 /       1101 == 0.0145322434 =/= 0.0145322413
     nkd(0,0,1,1,1,0,0,0,1,0,0,1,0) =        453 /       1360 == 0.3330882353 =/= 0.3330882760
     nkd(0,1,1,0,1,1,0,0,0,0,0,1,1) =         11 /       1315 == 0.0083650190 =/= 0.0083651855
     nke(0,0,1,1,1,0,0,1,0,0,0,1,1) =        -19 /        937 == -0.0202774813 =/= -0.0202775030
     nkd(0,0,1,1,1,1,0,0,0,0,0,1,0) =        539 /       1329 == 0.4055680963 =/= 0.4055685250
     nkd(0,1,1,0,1,1,0,0,0,0,0,1,0) =         11 /       1315 == 0.0083650190 =/= 0.0083651855
     nkd(0,0,1,1,1,0,1,0,0,0,0,1,0) =        514 /       1145 == 0.4489082969 =/= 0.4489084530
     nkd(0,1,1,0,1,1,0,0,0,0,0,0,1) =        -89 /       1301 == -0.0684089162 =/= -0.0684088421
     nke(0,0,1,1,1,0,0,1,0,0,0,0,1) =        -11 /       1315 == -0.0083650190 =/= -0.0083651855
     nke(0,1,1,1,0,0,0,0,1,0,0,1,0) =         16 /       1101 == 0.0145322434 =/= 0.0145322413
     nkd(0,1,1,0,1,0,1,1,1,_,_,_,_) =       -132 /        893 == -0.1478163494 =/= -0.1478162466
     nke(0,0,1,1,1,0,0,0,1,1,1,1,1) =          5 /       1037 == 0.0048216008 =/= 0.0048220103
     nkd(0,0,1,1,1,0,0,0,1,1,1,0,1) =        196 /        967 == 0.2026887280 =/= 0.2026882444
     nke(0,1,1,1,0,1,0,0,0,1,1,0,1) =        144 /       1445 == 0.0996539792 =/= 0.0996543083
     nkd(0,1,1,0,1,0,1,1,0,1,0,1,1) =         30 /        911 == 0.0329308452 =/= 0.0329305319
     nkd(0,0,1,1,1,0,1,1,0,1,0,0,1) =        549 /       1414 == 0.3882602546 =/= 0.3882605943
     nke(0,1,1,1,0,1,0,0,1,1,0,0,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(0,0,1,1,1,0,0,1,0,1,0,0,1) =        504 /        989 == 0.5096056623 =/= 0.5096060354
     nkd(0,1,1,0,1,0,1,1,0,1,0,0,0) =       -179 /       1456 == -0.1229395604 =/= -0.1229393688
     nkd(0,1,1,0,1,0,1,1,0,0,1,1,1) =       -137 /       1479 == -0.0926301555 =/= -0.0926306071
     nke(0,0,1,1,1,0,1,0,1,1,0,1,1) =        129 /       1189 == 0.1084945332 =/= 0.1084944407
     nkd(0,0,1,1,1,1,0,0,1,1,0,0,1) =        411 /       1079 == 0.3809082484 =/= 0.3809078199
     nkd(0,1,1,0,1,0,1,1,0,0,1,1,0) =       -137 /       1479 == -0.0926301555 =/= -0.0926306071
     nkd(0,1,1,0,1,0,1,1,0,0,1,0,1) =       -137 /       1479 == -0.0926301555 =/= -0.0926306071
     nke(0,1,1,1,0,1,0,0,1,0,1,0,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(0,0,1,1,1,0,0,0,1,1,0,0,1) =        382 /        797 == 0.4792973651 =/= 0.4792972738
     nkd(0,1,1,0,1,0,1,1,0,0,1,0,0) =       -137 /       1479 == -0.0926301555 =/= -0.0926306071
     nkd(0,0,1,1,1,0,1,0,0,1,0,0,1) =        549 /       1414 == 0.3882602546 =/= 0.3882605943
     nke(0,1,1,1,0,1,0,0,1,0,0,0,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(0,1,1,0,1,0,1,0,1,1,1,_,_) =        325 /       1159 == 0.2804141501 =/= 0.2804138804
     nkd(0,1,1,0,1,0,1,0,1,1,0,1,1) =         30 /        911 == 0.0329308452 =/= 0.0329305319
     nkd(0,0,1,1,1,1,0,1,0,0,1,0,1) =        307 /       1466 == 0.2094133697 =/= 0.2094136035
     nkd(0,0,1,1,1,0,1,1,0,0,1,0,1) =        309 /        829 == 0.3727382388 =/= 0.3727386275
     nkd(0,1,1,0,1,0,1,0,1,1,0,0,1) =         31 /       1000 == 0.0310000000 =/= 0.0310002770
     nkd(0,0,1,1,1,0,0,1,0,0,1,0,1) =        445 /       1258 == 0.3537360890 =/= 0.3537361347
     nkd(0,1,1,0,1,0,1,0,1,1,0,0,0) =         30 /        911 == 0.0329308452 =/= 0.0329305319
     nkd(0,1,1,0,1,0,1,0,1,0,1,1,1) =       -137 /       1479 == -0.0926301555 =/= -0.0926306071
     nkd(0,1,1,0,1,0,1,0,1,0,1,1,0) =       -137 /       1479 == -0.0926301555 =/= -0.0926306071
     nke(0,0,1,1,1,0,1,0,1,0,1,1,0) =        127 /        832 == 0.1526442308 =/= 0.1526439283
     nkd(0,0,1,1,1,0,1,0,1,0,1,0,1) =        422 /       1237 == 0.3411479386 =/= 0.3411474696
     nkd(0,1,1,0,1,0,1,0,1,0,1,0,1) =       -137 /       1479 == -0.0926301555 =/= -0.0926306071
     nke(0,0,1,1,1,0,1,0,1,0,1,0,1) =        217 /       1398 == 0.1552217454 =/= 0.1552220420
     nkd(0,1,1,0,1,0,1,0,1,0,1,0,0) =       -137 /       1479 == -0.0926301555 =/= -0.0926306071
     nke(0,0,1,1,1,0,1,0,1,0,1,0,0) =        217 /       1398 == 0.1552217454 =/= 0.1552220420
     nke(0,0,1,1,1,0,0,0,1,0,1,1,1) =         30 /        911 == 0.0329308452 =/= 0.0329305319
     nkd(0,1,1,0,1,0,1,0,0,1,1,1,1) =          6 /       1433 == 0.0041870202 =/= 0.0041869452
     nke(0,1,1,1,0,0,0,1,0,1,1,0,1) =         13 /       1204 == 0.0107973422 =/= 0.0107974254
     nkd(0,1,1,0,1,0,1,0,0,1,0,1,1) =         30 /        911 == 0.0329308452 =/= 0.0329305319
     nkd(0,1,1,0,1,0,1,0,0,1,0,1,0) =         30 /        911 == 0.0329308452 =/= 0.0329305319
     nke(0,1,1,1,0,0,0,1,0,1,0,0,1) =         13 /       1204 == 0.0107973422 =/= 0.0107974254
     nkd(0,0,1,1,1,0,1,1,0,0,0,0,1) =        413 /       1191 == 0.3467674223 =/= 0.3467673011
     nkd(0,1,1,0,1,0,1,0,0,1,0,0,1) =         30 /        911 == 0.0329308452 =/= 0.0329305319
     nkd(0,1,1,0,1,0,1,0,0,1,0,0,0) =         30 /        911 == 0.0329308452 =/= 0.0329305319
     nkd(0,1,1,0,1,0,1,0,0,0,1,1,1) =        -98 /        981 == -0.0998980632 =/= -0.0998976510
     nke(0,0,1,1,1,0,1,0,1,0,0,1,1) =        124 /       1283 == 0.0966484801 =/= 0.0966487292
     nkd(0,0,1,1,1,1,0,0,1,0,0,0,1) =        373 /       1166 == 0.3198970840 =/= 0.3198969915
     nkd(0,1,1,0,1,0,1,0,0,0,1,1,0) =        -98 /        981 == -0.0998980632 =/= -0.0998976510
     nke(0,1,1,1,0,0,0,1,0,0,1,0,1) =         13 /       1204 == 0.0107973422 =/= 0.0107974254
     nkd(0,1,1,0,1,0,1,0,0,0,1,0,1) =        -98 /        981 == -0.0998980632 =/= -0.0998976510
     nke(0,0,1,1,1,0,1,0,1,0,0,0,1) =        147 /        955 == 0.1539267016 =/= 0.1539263245
     nkd(0,0,1,1,1,0,0,0,1,0,0,0,1) =        453 /       1360 == 0.3330882353 =/= 0.3330882760
     nkd(0,1,1,0,1,0,1,0,0,0,1,0,0) =        -98 /        981 == -0.0998980632 =/= -0.0998976510
     nke(0,0,1,1,1,0,1,0,1,0,0,0,0) =        223 /       1453 == 0.1534755678 =/= 0.1534760416
     nkd(0,0,1,1,1,1,0,0,0,0,0,0,1) =        539 /       1329 == 0.4055680963 =/= 0.4055685250
     nke(0,0,1,1,1,0,0,0,1,0,0,1,0) =        -19 /        847 == -0.0224321133 =/= -0.0224322399
     nke(0,1,1,1,0,0,0,1,0,0,0,0,1) =         13 /       1204 == 0.0107973422 =/= 0.0107974254
     nkd(0,0,1,1,1,0,1,0,0,0,0,0,1) =        514 /       1145 == 0.4489082969 =/= 0.4489084530
     nkd(0,1,1,0,1,0,0,1,1,1,1,_,_) =         -2 /       1227 == -0.0016299919 =/= -0.0016304620
     nke(0,0,1,1,1,1,0,0,0,1,1,1,1) =         37 /       1492 == 0.0247989276 =/= 0.0247990609
     nke(0,0,1,1,1,1,0,0,0,1,1,1,0) =         37 /       1492 == 0.0247989276 =/= 0.0247990609
     nke(0,0,1,1,1,1,0,0,0,1,1,0,1) =         37 /       1492 == 0.0247989276 =/= 0.0247990609
     nke(0,0,1,1,1,1,0,0,0,1,1,0,0) =         22 /        865 == 0.0254335260 =/= 0.0254335984
     nkd(0,1,1,0,1,0,0,1,1,0,1,1,1) =       -265 /       1289 == -0.2055857254 =/= -0.2055856711
     nkd(0,1,1,0,1,0,0,1,1,0,1,1,0) =         18 /        775 == 0.0232258065 =/= 0.0232259724
     nkd(0,1,1,0,1,0,0,1,1,0,1,0,1) =         18 /        775 == 0.0232258065 =/= 0.0232259724
     nkd(0,1,1,0,1,0,0,1,1,0,0,1,1) =       -149 /       1042 == -0.1429942418 =/= -0.1429942363
     nkd(0,0,1,1,1,1,0,0,0,1,1,0,0) =        238 /       1153 == 0.2064180399 =/= 0.2064177845
     nke(0,0,1,1,1,0,0,0,0,1,1,1,0) =          4 /        925 == 0.0043243243 =/= 0.0043241140
     nkd(0,1,1,0,1,0,0,1,0,1,1,1,1) =        -79 /        874 == -0.0903890160 =/= -0.0903889526
     nkd(0,1,1,0,1,0,0,1,0,1,1,1,0) =          6 /       1433 == 0.0041870202 =/= 0.0041869452
     nkd(0,1,1,0,1,0,0,1,0,1,1,0,1) =          6 /       1433 == 0.0041870202 =/= 0.0041869452
     nkd(0,0,1,1,1,0,0,1,1,1,0,0,0) =        287 /       1039 == 0.2762271415 =/= 0.2762269352
     nkd(0,1,1,0,1,0,0,1,0,1,1,0,0) =          6 /       1433 == 0.0041870202 =/= 0.0041869452
     nkd(0,1,1,0,1,0,0,1,0,1,0,1,1) =        -12 /       1343 == -0.0089352197 =/= -0.0089352273
     nke(0,0,1,1,1,1,0,0,0,1,0,1,1) =         37 /       1492 == 0.0247989276 =/= 0.0247990609
     nke(0,0,1,1,1,1,0,0,0,1,0,1,0) =         37 /       1492 == 0.0247989276 =/= 0.0247990609
     nke(0,0,1,1,1,1,0,0,0,1,0,0,1) =         37 /       1492 == 0.0247989276 =/= 0.0247990609
     nke(0,1,1,1,0,1,0,0,1,1,0,0,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(0,0,1,1,1,0,0,1,0,1,0,0,0) =        518 /       1467 == 0.3531015678 =/= 0.3531015972
     nke(0,0,1,1,1,1,0,0,0,1,0,0,0) =         22 /        865 == 0.0254335260 =/= 0.0254335984
     nkd(0,1,1,0,1,0,0,1,0,0,1,1,1) =         18 /        775 == 0.0232258065 =/= 0.0232259724
     nke(0,0,1,1,1,0,1,0,0,1,0,1,1) =         -6 /        815 == -0.0073619632 =/= -0.0073621388
     nkd(0,0,1,1,1,1,0,0,1,1,0,0,0) =        411 /       1079 == 0.3809082484 =/= 0.3809078199
     nkd(0,1,1,0,1,0,0,1,0,0,1,1,0) =         18 /        775 == 0.0232258065 =/= 0.0232259724
     nkd(0,0,1,1,1,0,1,0,1,1,0,0,0) =        359 /       1187 == 0.3024431340 =/= 0.3024431871
     nkd(0,1,1,0,1,0,0,1,0,0,1,0,1) =         18 /        775 == 0.0232258065 =/= 0.0232259724
     nke(0,1,1,1,0,1,0,0,1,0,1,0,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(0,0,1,1,1,0,0,0,1,1,0,0,0) =        382 /        797 == 0.4792973651 =/= 0.4792972738
     nkd(0,1,1,0,1,0,0,1,0,0,1,0,0) =       -217 /       1398 == -0.1552217454 =/= -0.1552220420
     nke(0,0,1,1,1,0,0,0,0,1,0,1,0) =          4 /        925 == 0.0043243243 =/= 0.0043241140
     nkd(0,0,1,1,1,0,1,0,0,1,0,0,0) =        549 /       1414 == 0.3882602546 =/= 0.3882605943
     nke(0,1,1,1,0,1,0,0,1,0,0,0,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(0,1,1,0,1,0,0,0,1,1,1,0,1) =         27 /       1373 == 0.0196649672 =/= 0.0196652554
     nkd(0,1,1,0,1,0,0,0,1,1,1,0,0) =         27 /       1373 == 0.0196649672 =/= 0.0196652554
     nke(0,0,1,1,1,1,0,0,0,0,1,1,0) =         37 /       1492 == 0.0247989276 =/= 0.0247990609
     nkd(0,0,1,1,1,0,1,1,0,0,1,0,0) =        528 /       1439 == 0.3669214732 =/= 0.3669212203
     nke(0,0,1,1,1,1,0,0,0,0,1,0,1) =         37 /       1492 == 0.0247989276 =/= 0.0247990609
     nkd(0,0,1,1,1,0,0,1,0,0,1,0,0) =        445 /       1258 == 0.3537360890 =/= 0.3537361347
     nke(0,0,1,1,1,1,0,0,0,0,1,0,0) =         22 /        865 == 0.0254335260 =/= 0.0254335984
     nke(0,1,1,1,0,0,1,1,0,0,1,0,0) =        -25 /        842 == -0.0296912114 =/= -0.0296912383
     nkd(0,0,1,1,1,0,1,0,1,0,1,0,0) =        422 /       1237 == 0.3411479386 =/= 0.3411474696
     nke(0,0,1,1,1,0,1,0,0,0,1,0,0) =         43 /       1212 == 0.0354785479 =/= 0.0354783102
     nkd(0,1,1,0,1,0,0,0,1,0,0,1,1) =          4 /       1029 == 0.0038872692 =/= 0.0038871523
     nke(0,0,1,1,1,0,0,0,0,0,1,1,0) =          4 /        925 == 0.0043243243 =/= 0.0043241140
     nkd(0,0,1,1,1,0,0,0,0,0,1,0,0) =        449 /       1173 == 0.3827791986 =/= 0.3827795144
     nkd(0,1,1,0,1,0,0,0,1,0,0,0,0) =          4 /       1029 == 0.0038872692 =/= 0.0038871523
     nkd(0,1,1,0,1,0,0,0,0,1,1,1,1) =          6 /       1433 == 0.0041870202 =/= 0.0041869452
     nkd(0,1,1,0,1,0,0,0,0,1,1,1,0) =          6 /       1433 == 0.0041870202 =/= 0.0041869452
     nkd(0,1,1,0,1,0,0,0,0,1,1,0,1) =          6 /       1433 == 0.0041870202 =/= 0.0041869452
     nke(0,1,1,1,0,0,0,0,1,1,1,0,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(0,0,1,1,1,0,0,1,1,0,0,0,0) =        287 /       1039 == 0.2762271415 =/= 0.2762269352
     nkd(0,1,1,0,1,0,0,0,0,1,1,0,0) =          6 /       1433 == 0.0041870202 =/= 0.0041869452
     nkd(0,1,1,0,1,0,0,0,0,1,0,1,1) =        -19 /        923 == -0.0205850488 =/= -0.0205852095
     nke(0,0,1,1,1,1,0,0,0,0,0,1,1) =         37 /       1492 == 0.0247989276 =/= 0.0247990609
     nke(0,0,1,1,1,1,0,0,0,0,0,1,0) =         37 /       1492 == 0.0247989276 =/= 0.0247990609
     nkd(0,0,1,1,1,0,1,1,0,0,0,0,0) =        411 /       1082 == 0.3798521257 =/= 0.3798517522
     nke(0,0,1,1,1,1,0,0,0,0,0,0,1) =         37 /       1492 == 0.0247989276 =/= 0.0247990609
     nke(0,1,1,1,0,0,0,0,1,1,0,0,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nke(0,0,1,1,1,1,0,0,0,0,0,0,0) =         22 /        865 == 0.0254335260 =/= 0.0254335984
     nkd(0,1,1,0,1,0,0,0,0,0,1,1,1) =         18 /        775 == 0.0232258065 =/= 0.0232259724
     nkd(0,0,1,1,1,1,0,0,1,0,0,0,0) =        373 /       1166 == 0.3198970840 =/= 0.3198969915
     nkd(0,0,1,1,1,0,1,0,1,0,0,0,0) =        359 /       1187 == 0.3024431340 =/= 0.3024431871
     nkd(0,1,1,0,1,0,0,0,0,0,1,0,1) =         18 /        775 == 0.0232258065 =/= 0.0232259724
     nke(0,1,1,1,0,0,0,0,1,0,1,0,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(0,0,1,1,1,0,0,0,1,0,0,0,0) =        453 /       1360 == 0.3330882353 =/= 0.3330882760
     nkd(0,0,1,1,1,1,0,0,0,0,0,0,0) =        539 /       1329 == 0.4055680963 =/= 0.4055685250
     nke(0,0,1,1,1,0,0,0,0,0,0,1,0) =        -33 /       1195 == -0.0276150628 =/= -0.0276151097
     nkd(0,0,1,1,1,0,1,0,0,0,0,0,0) =        514 /       1145 == 0.4489082969 =/= 0.4489084530
     nke(0,1,1,0,1,1,1,_,_,_,_,_,_) =         89 /        925 == 0.0962162162 =/= 0.0962158562
     nke(0,1,0,1,1,1,0,1,1,_,_,_,_) =          2 /       1255 == 0.0015936255 =/= 0.0015939276
     nke(0,1,0,1,1,0,0,1,1,0,1,1,1) =        -26 /        753 == -0.0345285525 =/= -0.0345284164
     nkd(0,1,0,1,1,1,0,1,1,_,_,_,_) =         25 /        849 == 0.0294464075 =/= 0.0294461810
     nke(0,1,1,0,1,0,1,1,0,1,1,_,_) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nke(0,1,1,0,1,0,0,1,0,1,1,1,1) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nkd(0,1,0,1,1,1,0,1,0,0,1,1,1) =        205 /       1006 == 0.2037773360 =/= 0.2037770216
     nke(0,1,1,0,1,0,1,1,0,1,0,1,1) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nkd(0,1,0,1,1,1,0,1,0,0,0,1,1) =        395 /       1149 == 0.3437771976 =/= 0.3437770216
     nke(0,1,1,0,1,0,0,1,0,1,0,1,1) =       -187 /       1389 == -0.1346292297 =/= -0.1346290508
     nke(0,1,1,0,1,0,1,1,0,0,1,1,1) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nke(0,1,1,0,1,0,0,1,0,0,1,1,1) =         -7 /        856 == -0.0081775701 =/= -0.0081771060
     nke(0,1,1,0,1,1,0,1,0,0,0,1,1) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nke(0,1,1,0,1,0,1,1,0,0,0,1,1) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nke(0,1,1,0,1,0,0,1,0,0,0,1,1) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nkd(0,1,0,1,1,0,1,0,1,1,1,_,_) =        217 /       1046 == 0.2074569790 =/= 0.2074565742
     nkd(0,1,0,1,1,0,1,0,1,1,0,1,1) =        443 /       1417 == 0.3126323218 =/= 0.3126321898
     nke(0,1,1,0,1,1,0,0,1,0,1,1,1) =       -124 /       1217 == -0.1018898932 =/= -0.1018902914
     nkd(0,1,0,1,1,0,1,0,0,1,0,1,1) =        255 /       1124 == 0.2268683274 =/= 0.2268680674
     nkd(0,1,0,1,1,0,0,1,1,1,1,_,_) =        233 /       1477 == 0.1577522004 =/= 0.1577520147
     nkd(0,1,0,1,1,0,0,1,0,1,0,1,1) =        413 /       1447 == 0.2854181064 =/= 0.2854184307
     nkd(0,1,1,1,0,1,0,1,1,_,_,_,_) =        187 /       1389 == 0.1346292297 =/= 0.1346290508
     nkd(0,1,0,1,1,0,0,0,0,1,1,1,0) =        123 /        842 == 0.1460807601 =/= 0.1460810615
     nkd(0,1,1,1,0,1,0,1,0,1,0,1,1) =        101 /        833 == 0.1212484994 =/= 0.1212482359
     nkd(0,1,0,1,1,1,0,1,0,1,0,1,0) =        395 /       1149 == 0.3437771976 =/= 0.3437770216
     nkd(0,1,0,1,1,0,1,1,0,1,0,1,0) =        241 /        908 == 0.2654185022 =/= 0.2654184307
     nkd(0,1,1,1,0,1,0,1,0,1,0,0,1) =        101 /        833 == 0.1212484994 =/= 0.1212482359
     nkd(0,1,0,1,1,0,0,1,0,1,0,1,0) =        413 /       1447 == 0.2854181064 =/= 0.2854184307
     nkd(0,1,1,1,0,1,0,1,0,0,1,1,1) =        101 /        833 == 0.1212484994 =/= 0.1212482359
     nkd(0,1,1,1,0,1,0,1,0,0,1,1,0) =        181 /       1079 == 0.1677479147 =/= 0.1677476622
     nkd(0,1,0,1,1,0,1,0,1,1,0,1,0) =        443 /       1417 == 0.3126323218 =/= 0.3126321898
     nke(0,1,0,1,1,0,1,1,0,1,0,0,1) =         19 /        797 == 0.0238393977 =/= 0.0238396708
     nkd(0,1,0,1,1,0,0,0,1,1,0,1,0) =        464 /       1321 == 0.3512490537 =/= 0.3512491592
     nkd(0,1,1,1,0,1,0,1,0,0,0,1,1) =        135 /       1274 == 0.1059654631 =/= 0.1059656550
     nkd(0,1,0,1,1,1,0,1,0,0,1,1,0) =        451 /       1231 == 0.3663688058 =/= 0.3663684565
     nke(0,1,1,0,1,0,1,1,0,1,0,1,0) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nke(0,1,1,0,1,0,1,1,0,0,1,1,0) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nkd(0,1,1,1,0,1,0,0,1,0,0,1,1) =        184 /       1459 == 0.1261137766 =/= 0.1261137710
     nkd(0,1,0,1,1,1,0,0,0,0,1,1,0) =        320 /       1311 == 0.2440884821 =/= 0.2440885530
     nkd(0,1,1,1,0,1,0,0,1,0,0,1,0) =        170 /       1239 == 0.1372074253 =/= 0.1372071644
     nke(0,1,1,0,1,0,1,1,0,0,0,1,0) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nke(0,1,1,0,1,0,0,1,0,1,1,1,0) =        -14 /       1163 == -0.0120378332 =/= -0.0120376159
     nke(0,1,1,0,1,0,0,1,1,1,0,1,0) =        145 /       1027 == 0.1411879260 =/= 0.1411878289
     nkd(0,1,0,1,1,1,0,1,0,0,0,1,0) =        395 /       1149 == 0.3437771976 =/= 0.3437770216
     nke(0,1,1,0,1,0,0,1,0,1,0,1,0) =        137 /       1495 == 0.0916387960 =/= 0.0916386394
     nke(0,1,0,1,1,0,1,1,0,0,0,1,1) =         41 /       1093 == 0.0375114364 =/= 0.0375115736
     nke(0,1,1,0,1,0,0,1,0,0,1,1,0) =        137 /       1495 == 0.0916387960 =/= 0.0916386394
     nkd(0,1,1,1,0,1,0,0,0,0,0,1,1) =        110 /       1479 == 0.0743745774 =/= 0.0743744972
     nke(0,1,1,0,1,0,0,1,1,0,0,1,0) =        145 /       1027 == 0.1411879260 =/= 0.1411878289
     nkd(0,1,1,1,0,0,1,1,1,_,_,_,_) =        187 /       1389 == 0.1346292297 =/= 0.1346290508
     nkd(0,1,0,1,1,0,0,1,0,1,1,0,1) =         71 /       1301 == 0.0545734051 =/= 0.0545735238
     nke(0,1,0,1,1,0,0,0,1,1,1,0,0) =          5 /        958 == 0.0052192067 =/= 0.0052190084
     nkd(0,1,1,1,0,0,1,1,0,1,1,_,_) =        101 /        833 == 0.1212484994 =/= 0.1212482359
     nkd(0,1,1,1,0,0,1,1,0,1,0,1,1) =        101 /        833 == 0.1212484994 =/= 0.1212482359
     nkd(0,1,0,1,1,1,0,1,0,1,0,0,1) =        395 /       1149 == 0.3437771976 =/= 0.3437770216
     nkd(0,1,0,1,1,0,1,1,0,1,0,0,1) =        241 /        908 == 0.2654185022 =/= 0.2654184307
     nkd(0,1,0,1,1,0,0,1,0,1,0,0,1) =        413 /       1447 == 0.2854181064 =/= 0.2854184307
     nkd(0,1,1,1,0,0,1,1,0,0,1,1,1) =        101 /        833 == 0.1212484994 =/= 0.1212482359
     nkd(0,1,1,1,0,0,1,1,0,0,1,1,0) =         77 /       1493 == 0.0515740121 =/= 0.0515740118
     nkd(0,1,0,1,1,0,1,0,1,1,0,0,1) =        443 /       1417 == 0.3126323218 =/= 0.3126321898
     nkd(0,1,1,1,0,0,1,1,0,0,1,0,1) =         69 /        932 == 0.0740343348 =/= 0.0740344768
     nkd(0,1,0,1,1,0,0,0,1,1,0,0,1) =        464 /       1321 == 0.3512490537 =/= 0.3512491592
     nkd(0,1,1,1,0,0,1,1,0,0,0,1,0) =        239 /       1447 == 0.1651693158 =/= 0.1651695485
     nkd(0,1,1,1,0,0,1,1,0,0,0,0,1) =         34 /       1287 == 0.0264180264 =/= 0.0264177845
     nkd(0,1,1,1,0,0,1,1,0,0,0,0,0) =        115 /       1351 == 0.0851221318 =/= 0.0851220670
     nke(0,1,0,1,1,0,0,0,1,1,0,0,0) =         12 /       1027 == 0.0116845180 =/= 0.0116842744
     nkd(0,1,1,1,0,0,1,0,1,1,1,_,_) =        260 /       1097 == 0.2370100273 =/= 0.2370095886
     nkd(0,1,0,1,1,1,0,1,0,0,1,0,1) =        451 /       1231 == 0.3663688058 =/= 0.3663684565
     nke(0,1,1,0,1,0,1,1,0,1,0,0,1) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nkd(0,1,1,1,0,0,1,0,1,0,1,1,1) =        260 /       1097 == 0.2370100273 =/= 0.2370095886
     nke(0,1,0,1,1,0,1,0,1,0,1,1,1) =        -85 /        889 == -0.0956130484 =/= -0.0956132368
     nke(0,1,1,0,1,0,1,1,0,0,1,0,1) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nkd(0,1,0,1,1,1,0,0,0,0,1,0,1) =        320 /       1311 == 0.2440884821 =/= 0.2440885530
     nkd(0,1,1,1,0,0,1,0,1,0,0,1,0) =        170 /       1239 == 0.1372074253 =/= 0.1372071644
     nke(0,1,1,0,1,0,1,1,0,0,0,0,1) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nkd(0,1,1,1,0,0,1,0,0,1,1,1,0) =        101 /        833 == 0.1212484994 =/= 0.1212482359
     nkd(0,1,1,1,0,0,1,0,0,1,0,1,1) =        187 /       1354 == 0.1381093058 =/= 0.1381095768
     nkd(0,1,0,1,1,1,0,1,0,0,0,0,1) =        395 /       1149 == 0.3437771976 =/= 0.3437770216
     nke(0,1,0,1,1,0,1,0,1,0,0,1,0) =       -123 /       1324 == -0.0929003021 =/= -0.0929001965
     nke(0,1,0,1,1,1,0,0,0,1,1,1,1) =          2 /       1255 == 0.0015936255 =/= 0.0015939276
     nkd(0,1,1,1,0,0,0,1,1,1,0,1,0) =       -123 /       1210 == -0.1016528926 =/= -0.1016526201
     nke(0,1,0,1,1,1,0,0,0,1,1,1,0) =          2 /       1255 == 0.0015936255 =/= 0.0015939276
     nke(0,1,0,1,1,1,0,0,0,1,1,0,1) =          2 /       1255 == 0.0015936255 =/= 0.0015939276
     nkd(0,1,0,1,1,0,0,1,0,1,1,0,0) =        158 /       1081 == 0.1461609621 =/= 0.1461608568
     nke(0,1,0,1,1,1,0,0,0,1,1,0,0) =          2 /       1255 == 0.0015936255 =/= 0.0015939276
     nkd(0,1,1,1,0,0,0,1,1,0,1,1,1) =        187 /       1389 == 0.1346292297 =/= 0.1346290508
     nkd(0,1,1,1,0,0,0,1,1,0,1,1,0) =         34 /       1371 == 0.0247994165 =/= 0.0247993247
     nkd(0,1,1,1,0,0,0,1,1,0,1,0,1) =        102 /       1229 == 0.0829943043 =/= 0.0829942363
     nkd(0,1,0,1,1,0,0,0,1,1,1,0,0) =        248 /       1385 == 0.1790613718 =/= 0.1790610533
     nkd(0,1,1,1,0,0,0,1,1,0,0,1,1) =        187 /       1389 == 0.1346292297 =/= 0.1346290508
     nkd(0,1,1,1,0,0,0,1,1,0,0,0,0) =        166 /       1187 == 0.1398483572 =/= 0.1398480592
     nkd(0,1,1,1,0,0,0,1,0,1,1,1,0) =        101 /        833 == 0.1212484994 =/= 0.1212482359
     nkd(0,1,1,1,0,0,0,1,0,1,1,0,0) =        101 /        833 == 0.1212484994 =/= 0.1212482359
     nke(0,1,0,1,1,1,0,0,0,1,0,1,1) =          2 /       1255 == 0.0015936255 =/= 0.0015939276
     nkd(0,1,0,1,1,1,0,1,0,1,0,0,0) =        395 /       1149 == 0.3437771976 =/= 0.3437770216
     nke(0,1,0,1,1,1,0,0,0,1,0,1,0) =          2 /       1255 == 0.0015936255 =/= 0.0015939276
     nkd(0,1,0,1,1,0,1,1,0,1,0,0,0) =        241 /        908 == 0.2654185022 =/= 0.2654184307
     nkd(0,1,1,1,0,0,0,1,0,1,0,0,1) =         71 /        876 == 0.0810502283 =/= 0.0810506601
     nke(0,1,0,1,1,1,0,0,0,1,0,0,1) =          2 /       1255 == 0.0015936255 =/= 0.0015939276
     nkd(0,1,0,1,1,0,0,1,0,1,0,0,0) =        413 /       1447 == 0.2854181064 =/= 0.2854184307
     nkd(0,1,1,1,0,0,0,1,0,1,0,0,0) =        144 /       1445 == 0.0996539792 =/= 0.0996543083
     nke(0,1,0,1,1,1,0,0,0,1,0,0,0) =          2 /       1255 == 0.0015936255 =/= 0.0015939276
     nkd(0,1,1,1,0,0,0,1,0,0,1,1,1) =        101 /        833 == 0.1212484994 =/= 0.1212482359
     nkd(0,1,0,1,1,0,1,0,1,1,0,0,0) =        443 /       1417 == 0.3126323218 =/= 0.3126321898
     nkd(0,1,1,1,0,0,0,1,0,0,1,0,1) =         69 /        932 == 0.0740343348 =/= 0.0740344768
     nkd(0,1,0,1,1,0,0,0,1,1,0,0,0) =        464 /       1321 == 0.3512490537 =/= 0.3512491592
     nkd(0,1,1,1,0,0,0,1,0,0,0,1,1) =        101 /        833 == 0.1212484994 =/= 0.1212482359
     nkd(0,1,1,1,0,0,0,1,0,0,0,1,0) =        101 /        833 == 0.1212484994 =/= 0.1212482359
     nkd(0,1,1,1,0,0,0,1,0,0,0,0,1) =        101 /        833 == 0.1212484994 =/= 0.1212482359
     nkd(0,1,1,1,0,0,0,1,0,0,0,0,0) =         97 /       1002 == 0.0968063872 =/= 0.0968063414
     nkd(0,1,1,1,0,0,0,0,1,1,1,1,1) =        -26 /        753 == -0.0345285525 =/= -0.0345284164
     nke(0,1,0,1,1,1,0,0,0,0,1,1,1) =          2 /       1255 == 0.0015936255 =/= 0.0015939276
     nkd(0,1,0,1,1,1,0,1,0,0,1,0,0) =        451 /       1231 == 0.3663688058 =/= 0.3663684565
     nke(0,1,0,1,1,1,0,0,0,0,1,1,0) =          2 /       1255 == 0.0015936255 =/= 0.0015939276
     nke(0,1,1,0,1,0,1,1,0,1,0,0,0) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nke(0,1,1,0,1,0,1,1,0,0,1,0,0) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nkd(0,1,0,1,1,1,0,0,0,0,1,0,0) =        320 /       1311 == 0.2440884821 =/= 0.2440885530
     nke(0,1,1,0,1,0,1,1,0,0,0,0,0) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nkd(0,1,1,1,0,0,0,0,0,1,0,1,1) =        145 /       1124 == 0.1290035587 =/= 0.1290036798
     nke(0,1,0,1,1,1,0,0,0,0,0,1,1) =          2 /       1255 == 0.0015936255 =/= 0.0015939276
     nke(0,1,1,0,1,0,0,1,1,1,0,0,0) =         81 /        808 == 0.1002475248 =/= 0.1002472995
     nkd(0,1,0,1,1,1,0,1,0,0,0,0,0) =        395 /       1149 == 0.3437771976 =/= 0.3437770216
     nkd(0,1,1,1,0,0,0,0,0,1,0,1,0) =        -14 /       1489 == -0.0094022834 =/= -0.0094023925
     nke(0,1,0,1,1,1,0,0,0,0,0,1,0) =          2 /       1255 == 0.0015936255 =/= 0.0015939276
     nke(0,1,1,0,1,0,0,1,0,1,0,0,0) =         69 /       1361 == 0.0506980162 =/= 0.0506981100
     nke(0,1,1,0,1,0,0,1,1,0,1,0,0) =         81 /        808 == 0.1002475248 =/= 0.1002472995
     nke(0,1,1,0,1,0,0,1,1,0,0,0,0) =         81 /        808 == 0.1002475248 =/= 0.1002472995
     nke(0,0,0,1,1,0,1,1,1,1,1,_,_) =        -27 /       1373 == -0.0196649672 =/= -0.0196652554
     nke(0,0,0,1,1,0,0,1,1,1,1,1,1) =       -404 /       1353 == -0.2985957132 =/= -0.2985958665
     nkd(0,0,0,1,1,1,0,1,1,1,1,_,_) =        427 /       1206 == 0.3540630182 =/= 0.3540629657
     nke(0,1,1,0,0,1,1,1,0,1,0,1,1) =        157 /       1355 == 0.1158671587 =/= 0.1158675266
     nke(0,1,1,0,0,1,1,1,0,0,1,1,1) =        157 /       1355 == 0.1158671587 =/= 0.1158675266
     nke(0,1,1,0,0,1,1,1,0,0,0,1,1) =        157 /       1355 == 0.1158671587 =/= 0.1158675266
     nkd(0,0,0,1,1,0,1,1,1,1,1,_,_) =        319 /        942 == 0.3386411890 =/= 0.3386416334
     nkd(0,0,0,1,1,0,1,0,1,1,1,1,1) =        157 /       1355 == 0.1158671587 =/= 0.1158675266
     nkd(0,0,0,1,1,0,0,1,1,1,1,1,1) =          3 /       1226 == 0.0024469821 =/= 0.0024471439
     nkd(0,0,0,1,1,0,0,0,1,1,1,1,1) =        157 /       1355 == 0.1158671587 =/= 0.1158675266
     nkd(0,1,1,0,0,1,1,1,0,1,1,_,_) =        279 /        986 == 0.2829614604 =/= 0.2829619225
     nkd(0,0,0,1,1,1,0,1,1,1,0,1,1) =         22 /       1431 == 0.0153738644 =/= 0.0153737190
     nke(0,1,1,0,0,1,0,1,0,1,1,1,1) =         -8 /       1475 == -0.0054237288 =/= -0.0054241021
     nkd(0,0,0,1,1,0,1,1,1,1,0,1,1) =        101 /       1441 == 0.0700902151 =/= 0.0700902149
     nkd(0,1,1,0,0,1,1,1,0,1,0,1,0) =        279 /        986 == 0.2829614604 =/= 0.2829619225
     nke(0,1,1,0,0,1,0,1,0,1,0,1,1) =         -8 /       1475 == -0.0054237288 =/= -0.0054241021
     nkd(0,0,0,1,1,0,0,1,0,1,0,1,1) =        599 /       1389 == 0.4312455004 =/= 0.4312453343
     nke(0,0,0,1,1,0,1,1,1,1,0,1,1) =         69 /       1397 == 0.0493915533 =/= 0.0493914454
     nkd(0,0,0,1,1,1,0,0,1,1,0,1,1) =        309 /        848 == 0.3643867925 =/= 0.3643867632
     nke(0,0,0,1,1,0,1,1,1,1,0,1,0) =         73 /       1283 == 0.0568978956 =/= 0.0568978752
     nke(0,1,1,0,0,1,0,1,0,0,1,1,1) =       -223 /       1293 == -0.1724671307 =/= -0.1724674554
     nkd(0,1,1,0,0,1,1,1,0,0,1,0,1) =         11 /       1169 == 0.0094097519 =/= 0.0094097786
     nke(0,0,0,1,1,0,1,1,1,1,0,0,1) =        -27 /       1373 == -0.0196649672 =/= -0.0196652554
     nke(0,0,0,1,1,0,1,1,1,1,0,0,0) =         44 /       1271 == 0.0346184107 =/= 0.0346179717
     nke(0,1,1,0,0,1,0,1,1,0,0,1,1) =        -73 /       1283 == -0.0568978956 =/= -0.0568978752
     nkd(0,1,1,0,0,1,1,1,0,0,0,1,0) =        -50 /       1483 == -0.0337154417 =/= -0.0337155594
     nke(0,1,1,0,0,1,0,1,0,0,0,1,1) =         -8 /       1475 == -0.0054237288 =/= -0.0054241021
     nkd(0,0,0,1,1,0,1,0,0,1,0,1,1) =        531 /       1214 == 0.4373970346 =/= 0.4373974861
     nkd(0,1,1,0,0,1,1,1,0,0,0,0,1) =         11 /       1169 == 0.0094097519 =/= 0.0094097786
     nkd(0,1,1,0,0,1,1,1,0,0,0,0,0) =        -67 /        892 == -0.0751121076 =/= -0.0751119113
     nke(0,1,1,0,0,0,1,1,0,1,1,1,1) =          3 /       1226 == 0.0024469821 =/= 0.0024471439
     nke(0,0,0,1,1,0,1,1,1,0,1,1,1) =         69 /       1397 == 0.0493915533 =/= 0.0493914454
     nkd(0,0,0,1,1,1,0,0,1,0,1,1,1) =        401 /       1251 == 0.3205435651 =/= 0.3205432675
     nke(0,0,0,1,1,0,1,1,1,0,1,1,0) =         73 /       1283 == 0.0568978956 =/= 0.0568978752
     nke(0,1,1,0,0,0,1,1,0,0,1,1,1) =          3 /       1226 == 0.0024469821 =/= 0.0024471439
     nkd(0,1,1,0,0,1,1,0,0,1,1,1,1) =        -39 /       1124 == -0.0346975089 =/= -0.0346975033
     nkd(0,1,1,0,0,1,1,0,0,1,0,1,1) =         37 /        808 == 0.0457920792 =/= 0.0457923476
     nkd(0,1,1,0,0,1,1,0,0,1,0,1,0) =         -1 /       1080 == -0.0009259259 =/= -0.0009256255
     nkd(0,1,1,0,0,1,1,0,0,0,1,1,1) =         11 /       1138 == 0.0096660808 =/= 0.0096661787
     nke(0,0,0,1,1,0,1,1,1,0,0,1,1) =         69 /       1397 == 0.0493915533 =/= 0.0493914454
     nkd(0,0,0,1,1,1,0,0,1,0,0,1,1) =        293 /       1235 == 0.2372469636 =/= 0.2372464686
     nke(0,0,0,1,1,0,1,1,1,0,0,1,0) =         73 /       1283 == 0.0568978956 =/= 0.0568978752
     nkd(0,0,0,1,1,1,1,0,0,0,0,1,1) =        520 /       1363 == 0.3815113720 =/= 0.3815117583
     nkd(0,0,0,1,1,1,0,0,0,0,0,1,1) =        583 /       1448 == 0.4026243094 =/= 0.4026240125
     nkd(0,1,1,0,0,1,1,0,0,0,0,1,0) =         41 /       1396 == 0.0293696275 =/= 0.0293698150
     nke(0,0,0,1,1,1,1,1,0,1,1,_,_) =         38 /       1265 == 0.0300395257 =/= 0.0300393041
     nkd(0,1,1,0,0,1,0,1,1,1,0,1,1) =        126 /        983 == 0.1281790437 =/= 0.1281789525
     nke(0,0,0,1,1,1,0,1,0,1,1,1,1) =       -116 /        851 == -0.1363102233 =/= -0.1363104235
     nkd(0,1,1,0,0,1,0,1,1,1,0,1,0) =        126 /        983 == 0.1281790437 =/= 0.1281789525
     nkd(0,0,0,1,1,0,1,1,0,1,1,1,0) =        547 /       1441 == 0.3795975017 =/= 0.3795971986
     nkd(0,1,1,0,0,1,0,1,1,1,0,0,1) =        126 /        983 == 0.1281790437 =/= 0.1281789525
     nke(0,0,0,1,1,1,0,1,0,1,1,0,1) =       -179 /       1478 == -0.1211096076 =/= -0.1211094844
     nkd(0,1,1,0,0,1,0,1,1,1,0,0,0) =        126 /        983 == 0.1281790437 =/= 0.1281789525
     nke(0,0,0,1,1,1,0,1,0,1,1,0,0) =       -123 /       1336 == -0.0920658683 =/= -0.0920661048
     nke(0,0,0,1,1,0,1,1,0,1,1,1,1) =        -61 /       1241 == -0.0491539081 =/= -0.0491536422
     nkd(0,0,0,1,1,0,1,0,1,1,1,1,0) =        535 /       1379 == 0.3879622915 =/= 0.3879623841
     nke(0,0,0,1,1,0,1,1,0,1,1,0,1) =         -1 /        772 == -0.0012953368 =/= -0.0012957174
     nkd(0,0,0,1,1,0,0,0,1,1,1,1,0) =        322 /        965 == 0.3336787565 =/= 0.3336791569
     nkd(0,1,1,0,0,1,0,1,1,0,0,1,0) =         45 /       1474 == 0.0305291723 =/= 0.0305291550
     nkd(0,0,0,1,1,0,0,0,0,1,1,1,0) =        406 /       1089 == 0.3728191001 =/= 0.3728188185
     nkd(0,1,1,0,0,1,0,1,1,0,0,0,0) =          9 /       1273 == 0.0070699136 =/= 0.0070694681
     nkd(0,1,1,0,0,1,0,1,0,1,1,1,0) =        -35 /        911 == -0.0384193194 =/= -0.0384193936
     nke(0,1,1,0,0,1,0,1,0,1,1,1,0) =         -8 /       1475 == -0.0054237288 =/= -0.0054241021
     nkd(0,1,1,0,0,1,0,1,0,1,1,0,1) =        -84 /       1151 == -0.0729800174 =/= -0.0729803875
     nke(0,1,1,0,0,1,0,0,1,1,1,1,0) =        -11 /       1106 == -0.0099457505 =/= -0.0099457920
     nkd(0,0,0,1,1,0,0,1,1,1,0,1,0) =        548 /       1269 == 0.4318360914 =/= 0.4318362152
     nkd(0,1,1,0,0,1,0,1,0,1,1,0,0) =        -36 /        797 == -0.0451693852 =/= -0.0451695485
     nkd(0,1,1,0,0,1,0,1,0,1,0,1,1) =        -50 /       1277 == -0.0391542678 =/= -0.0391545655
     nke(0,1,1,0,0,1,0,1,1,1,0,1,0) =       -219 /        934 == -0.2344753747 =/= -0.2344752635
     nkd(0,1,1,0,0,1,0,1,0,1,0,1,0) =        -50 /       1277 == -0.0391542678 =/= -0.0391545655
     nke(0,0,0,1,1,1,0,1,0,1,0,1,0) =        -12 /       1427 == -0.0084092502 =/= -0.0084088421
     nke(0,1,1,0,0,1,0,1,0,1,0,1,0) =         -8 /       1475 == -0.0054237288 =/= -0.0054241021
     nkd(0,1,1,0,0,1,0,1,0,1,0,0,1) =        -50 /       1277 == -0.0391542678 =/= -0.0391545655
     nke(0,0,0,1,1,1,0,1,0,1,0,0,1) =        -12 /       1427 == -0.0084092502 =/= -0.0084088421
     nke(0,1,1,0,0,1,0,0,1,1,0,1,0) =        -11 /       1106 == -0.0099457505 =/= -0.0099457920
     nkd(0,0,0,1,1,0,0,1,0,1,0,1,0) =        599 /       1389 == 0.4312455004 =/= 0.4312453343
     nkd(0,1,1,0,0,1,0,1,0,1,0,0,0) =        -50 /       1277 == -0.0391542678 =/= -0.0391545655
     nke(0,0,0,1,1,1,0,1,0,1,0,0,0) =         -8 /       1475 == -0.0054237288 =/= -0.0054241021
     nke(0,0,0,1,1,0,1,1,0,1,0,1,1) =        -93 /       1391 == -0.0668583753 =/= -0.0668585711
     nkd(0,0,0,1,1,1,0,0,1,1,0,1,0) =        309 /        848 == 0.3643867925 =/= 0.3643867632
     nke(0,0,0,1,1,0,1,1,0,1,0,1,0) =         21 /        758 == 0.0277044855 =/= 0.0277040056
     nke(0,1,1,0,0,1,0,1,0,0,1,1,0) =         -8 /       1475 == -0.0054237288 =/= -0.0054241021
     nke(0,1,1,0,0,1,0,0,1,0,1,1,0) =        -11 /       1106 == -0.0099457505 =/= -0.0099457920
     nke(0,0,0,1,1,0,1,1,0,1,0,0,0) =        -21 /        758 == -0.0277044855 =/= -0.0277040056
     nkd(0,1,1,0,0,1,0,1,0,0,0,1,1) =         11 /       1315 == 0.0083650190 =/= 0.0083651855
     nkd(0,1,1,0,0,1,0,1,0,0,0,1,0) =         11 /       1315 == 0.0083650190 =/= 0.0083651855
     nke(0,1,1,0,0,1,0,1,0,0,0,1,0) =         -8 /       1475 == -0.0054237288 =/= -0.0054241021
     nkd(0,1,1,0,0,1,0,1,0,0,0,0,1) =         11 /       1315 == 0.0083650190 =/= 0.0083651855
     nke(0,1,1,0,0,1,0,0,1,0,0,1,0) =        -11 /       1106 == -0.0099457505 =/= -0.0099457920
     nkd(0,1,1,0,0,1,0,0,1,1,1,1,1) =         -4 /       1257 == -0.0031821798 =/= -0.0031823158
     nkd(0,1,1,0,0,1,0,0,1,1,0,1,1) =        126 /        983 == 0.1281790437 =/= 0.1281789525
     nke(0,0,0,1,1,1,0,1,0,0,1,1,1) =       -126 /        983 == -0.1281790437 =/= -0.1281789525
     nkd(0,1,1,0,0,1,0,0,1,1,0,1,0) =        126 /        983 == 0.1281790437 =/= 0.1281789525
     nke(0,1,1,0,0,0,1,1,0,1,0,1,0) =       -183 /       1378 == -0.1328011611 =/= -0.1328012767
     nkd(0,1,1,0,0,1,0,0,1,0,1,1,1) =         -4 /       1257 == -0.0031821798 =/= -0.0031823158
     nkd(0,0,0,1,1,1,0,0,1,0,1,1,0) =        401 /       1251 == 0.3205435651 =/= 0.3205432675
     nkd(0,1,1,0,0,1,0,0,1,0,0,1,0) =          3 /       1226 == 0.0024469821 =/= 0.0024471439
     nkd(0,1,1,0,0,1,0,0,0,1,1,1,1) =        -93 /       1391 == -0.0668583753 =/= -0.0668585711
     nkd(0,1,1,0,0,1,0,0,0,1,1,1,0) =        -73 /       1104 == -0.0661231884 =/= -0.0661233991
     nke(0,1,1,0,0,0,0,1,0,1,1,1,0) =         47 /       1148 == 0.0409407666 =/= 0.0409405294
     nke(0,0,0,1,1,1,0,1,0,0,0,1,1) =          9 /       1273 == 0.0070699136 =/= 0.0070694681
     nke(0,1,1,0,0,0,0,1,0,1,0,1,0) =         47 /       1148 == 0.0409407666 =/= 0.0409405294
     nke(0,0,0,1,1,0,1,1,0,0,0,1,1) =        -93 /       1391 == -0.0668583753 =/= -0.0668585711
     nke(0,1,1,0,0,0,0,1,0,0,1,1,0) =         47 /       1148 == 0.0409407666 =/= 0.0409405294
     nkd(0,0,0,1,1,1,0,0,0,0,0,1,0) =        583 /       1448 == 0.4026243094 =/= 0.4026240125
     nke(0,1,1,0,0,0,0,1,0,0,0,1,0) =         47 /       1148 == 0.0409407666 =/= 0.0409405294
     nke(0,0,0,1,1,1,1,0,1,1,1,_,_) =         38 /       1265 == 0.0300395257 =/= 0.0300393041
     nkd(0,0,0,1,1,0,0,1,1,1,1,0,1) =        -17 /        753 == -0.0225763612 =/= -0.0225765309
     nkd(0,0,0,1,1,0,1,1,0,1,1,0,1) =        547 /       1441 == 0.3795975017 =/= 0.3795971986
     nkd(0,1,1,0,0,0,1,1,1,1,0,0,1) =          9 /       1273 == 0.0070699136 =/= 0.0070694681
     nkd(0,0,0,1,1,0,1,0,1,1,1,0,1) =        535 /       1379 == 0.3879622915 =/= 0.3879623841
     nke(0,0,0,1,1,0,1,0,1,1,1,0,1) =         57 /       1196 == 0.0476588629 =/= 0.0476586344
     nkd(0,0,0,1,1,0,0,0,1,1,1,0,1) =        322 /        965 == 0.3336787565 =/= 0.3336791569
     nkd(0,1,1,0,0,0,1,1,1,0,0,1,1) =         48 /       1099 == 0.0436760692 =/= 0.0436762553
     nkd(0,1,1,0,0,0,1,1,1,0,0,1,0) =         48 /       1099 == 0.0436760692 =/= 0.0436762553
     nkd(0,1,1,0,0,0,1,1,1,0,0,0,1) =         48 /       1099 == 0.0436760692 =/= 0.0436762553
     nke(0,0,0,1,1,0,0,0,1,1,1,0,1) =        -33 /       1304 == -0.0253067485 =/= -0.0253067173
     nkd(0,0,0,1,1,0,0,0,0,1,1,0,1) =        406 /       1089 == 0.3728191001 =/= 0.3728188185
     nkd(0,1,1,0,0,0,1,1,1,0,0,0,0) =         48 /       1099 == 0.0436760692 =/= 0.0436762553
     nke(0,0,0,1,1,0,0,0,1,1,1,0,0) =        -40 /       1341 == -0.0298284862 =/= -0.0298284071
     nke(0,1,1,0,0,1,0,1,0,1,1,0,1) =         65 /       1282 == 0.0507020281 =/= 0.0507020668
     nkd(0,1,1,0,0,0,1,1,0,1,1,0,1) =       -139 /       1139 == -0.1220368745 =/= -0.1220370883
     nke(0,1,1,0,0,1,0,0,1,1,1,0,1) =         44 /       1125 == 0.0391111111 =/= 0.0391109089
     nkd(0,0,0,1,1,0,0,1,1,1,0,0,1) =        548 /       1269 == 0.4318360914 =/= 0.4318362152
     nkd(0,1,1,0,0,0,1,1,0,1,1,0,0) =        -36 /        797 == -0.0451693852 =/= -0.0451695485
     nkd(0,1,1,0,0,0,1,1,0,1,0,1,1) =        -50 /       1277 == -0.0391542678 =/= -0.0391545655
     nke(0,1,1,0,0,1,0,1,0,1,0,0,1) =         65 /       1282 == 0.0507020281 =/= 0.0507020668
     nke(0,1,1,0,0,1,0,0,1,1,0,0,1) =         44 /       1125 == 0.0391111111 =/= 0.0391109089
     nkd(0,0,0,1,1,0,0,1,0,1,0,0,1) =        599 /       1389 == 0.4312455004 =/= 0.4312453343
     nkd(0,1,1,0,0,0,1,1,0,1,0,0,0) =        -37 /        830 == -0.0445783133 =/= -0.0445786676
     nkd(0,1,1,0,0,0,1,1,0,0,1,1,1) =       -137 /       1479 == -0.0926301555 =/= -0.0926306071
     nkd(0,0,0,1,1,1,0,0,1,1,0,0,1) =        309 /        848 == 0.3643867925 =/= 0.3643867632
     nkd(0,1,1,0,0,0,1,1,0,0,1,1,0) =       -137 /       1479 == -0.0926301555 =/= -0.0926306071
     nkd(0,1,1,0,0,0,1,1,0,0,1,0,1) =       -137 /       1479 == -0.0926301555 =/= -0.0926306071
     nke(0,1,1,0,0,1,0,0,1,0,1,0,1) =         44 /       1125 == 0.0391111111 =/= 0.0391109089
     nkd(0,1,1,0,0,0,1,1,0,0,1,0,0) =       -137 /       1479 == -0.0926301555 =/= -0.0926306071
     nke(0,0,0,1,1,0,1,0,1,1,0,0,0) =         97 /       1494 == 0.0649263722 =/= 0.0649266015
     nke(0,1,1,0,0,1,0,1,0,0,0,0,1) =         65 /       1282 == 0.0507020281 =/= 0.0507020668
     nkd(0,0,0,1,1,0,1,0,0,1,0,0,1) =        391 /       1125 == 0.3475555556 =/= 0.3475557578
     nke(0,1,1,0,0,1,0,0,1,0,0,0,1) =         44 /       1125 == 0.0391111111 =/= 0.0391109089
     nke(0,0,0,1,1,1,1,0,1,0,1,1,1) =         38 /       1265 == 0.0300395257 =/= 0.0300393041
     nke(0,0,0,1,1,0,1,0,1,0,1,1,1) =         59 /       1289 == 0.0457719162 =/= 0.0457720360
     nkd(0,0,0,1,1,1,0,0,1,0,1,0,1) =        401 /       1251 == 0.3205435651 =/= 0.3205432675
     nke(0,1,1,0,0,0,1,1,0,0,1,0,1) =        -11 /       1203 == -0.0091438071 =/= -0.0091440140
     nkd(0,1,1,0,0,0,1,0,1,0,0,1,1) =         48 /       1099 == 0.0436760692 =/= 0.0436762553
     nke(0,0,0,1,1,0,0,0,1,0,1,1,1) =        -48 /       1099 == -0.0436760692 =/= -0.0436762553
     nkd(0,1,1,0,0,0,1,0,1,0,0,1,0) =         48 /       1099 == 0.0436760692 =/= 0.0436762553
     nke(0,0,0,1,1,0,0,0,1,0,1,1,0) =        -37 /       1074 == -0.0344506518 =/= -0.0344507313
     nkd(0,1,1,0,0,0,1,0,0,1,1,1,1) =         25 /       1038 == 0.0240847784 =/= 0.0240847281
     nkd(0,1,1,0,0,0,1,0,0,1,0,1,1) =        -50 /       1277 == -0.0391542678 =/= -0.0391545655
     nkd(0,1,1,0,0,0,1,0,0,1,0,1,0) =        -50 /       1277 == -0.0391542678 =/= -0.0391545655
     nkd(0,1,1,0,0,0,1,0,0,0,1,1,1) =       -137 /       1479 == -0.0926301555 =/= -0.0926306071
     nkd(0,1,1,0,0,0,1,0,0,0,1,1,0) =       -137 /       1479 == -0.0926301555 =/= -0.0926306071
     nkd(0,0,0,1,1,1,0,0,0,0,0,0,1) =        583 /       1448 == 0.4026243094 =/= 0.4026240125
     nke(0,0,0,1,1,0,0,0,1,0,0,1,0) =        -33 /       1304 == -0.0253067485 =/= -0.0253067173
     nke(0,0,0,1,1,1,1,0,0,1,1,1,1) =        -10 /       1357 == -0.0073691968 =/= -0.0073692610
     nke(0,0,0,1,1,1,1,0,0,1,1,1,0) =         36 /        985 == 0.0365482234 =/= 0.0365482267
     nke(0,0,0,1,1,1,1,0,0,1,1,0,1) =         62 /       1193 == 0.0519698240 =/= 0.0519695591
     nke(0,1,1,0,0,1,1,1,0,1,0,0,0) =         -6 /       1327 == -0.0045214770 =/= -0.0045216898
     nkd(0,0,0,1,1,0,1,1,0,1,1,0,0) =        547 /       1441 == 0.3795975017 =/= 0.3795971986
     nke(0,0,0,1,1,0,1,0,0,1,1,1,1) =         31 /       1000 == 0.0310000000 =/= 0.0310002770
     nke(0,0,0,1,1,0,1,0,0,1,1,1,0) =        -10 /       1037 == -0.0096432015 =/= -0.0096434931
     nkd(0,0,0,1,1,0,1,0,1,1,1,0,0) =        535 /       1379 == 0.3879622915 =/= 0.3879623841
     nkd(0,0,0,1,1,0,0,0,1,1,1,0,0) =        322 /        965 == 0.3336787565 =/= 0.3336791569
     nke(0,0,0,1,1,0,0,0,0,1,1,0,1) =         16 /        871 == 0.0183696900 =/= 0.0183695380
     nkd(0,0,0,1,1,0,0,0,0,1,1,0,0) =        406 /       1089 == 0.3728191001 =/= 0.3728188185
     nke(0,0,0,1,1,0,0,0,0,1,1,0,0) =         14 /       1011 == 0.0138476756 =/= 0.0138478482
     nke(0,0,0,1,1,1,1,0,0,1,0,1,1) =       -189 /       1433 == -0.1318911375 =/= -0.1318909508
     nke(0,0,0,1,1,1,1,0,0,1,0,1,0) =         36 /        985 == 0.0365482234 =/= 0.0365482267
     nke(0,1,1,0,0,1,0,1,0,1,1,0,0) =         -8 /       1475 == -0.0054237288 =/= -0.0054241021
     nke(0,0,0,1,1,1,1,0,0,1,0,0,1) =         62 /       1193 == 0.0519698240 =/= 0.0519695591
     nkd(0,0,0,1,1,0,0,1,1,1,0,0,0) =        548 /       1269 == 0.4318360914 =/= 0.4318362152
     nke(0,0,0,1,1,1,1,0,0,1,0,0,0) =         81 /       1087 == 0.0745170193 =/= 0.0745173373
     nke(0,1,1,0,0,1,0,0,0,1,1,0,0) =        -55 /       1062 == -0.0517890772 =/= -0.0517887337
     nke(0,1,1,0,0,1,0,1,1,1,0,0,0) =        -21 /        758 == -0.0277044855 =/= -0.0277040056
     nke(0,1,1,0,0,1,0,1,0,1,0,0,0) =         -8 /       1475 == -0.0054237288 =/= -0.0054241021
     nkd(0,0,0,1,1,0,0,1,0,1,0,0,0) =        599 /       1389 == 0.4312455004 =/= 0.4312453343
     nke(0,0,0,1,1,0,1,0,0,1,0,1,1) =         31 /       1000 == 0.0310000000 =/= 0.0310002770
     nke(0,1,1,0,0,1,0,1,1,0,1,0,0) =        -49 /       1000 == -0.0490000000 =/= -0.0489997230
     nkd(0,0,0,1,1,1,0,0,1,1,0,0,0) =        309 /        848 == 0.3643867925 =/= 0.3643867632
     nke(0,1,1,0,0,1,0,1,0,0,1,0,0) =         -8 /       1475 == -0.0054237288 =/= -0.0054241021
     nkd(0,1,1,0,0,0,0,1,0,0,0,1,0) =       -102 /       1415 == -0.0720848057 =/= -0.0720850974
     nke(0,1,1,0,0,1,0,1,0,0,0,0,0) =         -8 /       1475 == -0.0054237288 =/= -0.0054241021
     nkd(0,0,0,1,1,0,1,0,0,1,0,0,0) =        531 /       1214 == 0.4373970346 =/= 0.4373974861
     nkd(0,1,1,0,0,0,0,1,0,0,0,0,1) =       -102 /       1415 == -0.0720848057 =/= -0.0720850974
     nke(0,0,0,1,1,0,0,0,0,1,0,0,1) =         54 /       1259 == 0.0428911835 =/= 0.0428912278
     nkd(0,1,1,0,0,0,0,1,0,0,0,0,0) =       -102 /       1415 == -0.0720848057 =/= -0.0720850974
     nke(0,1,1,0,0,1,0,0,0,0,0,0,0) =          5 /        954 == 0.0052410901 =/= 0.0052414302
     nke(0,0,0,1,1,1,1,0,0,0,1,1,1) =         38 /       1265 == 0.0300395257 =/= 0.0300393041
     nke(0,1,1,0,0,0,1,1,0,1,1,0,0) =          3 /       1226 == 0.0024469821 =/= 0.0024471439
     nke(0,1,1,0,0,0,1,1,0,1,0,0,0) =        -23 /        986 == -0.0233265720 =/= -0.0233266068
     nkd(0,1,1,0,0,0,0,0,1,0,1,1,1) =        -11 /       1315 == -0.0083650190 =/= -0.0083651855
     nkd(0,0,0,1,1,1,0,0,1,0,1,0,0) =        401 /       1251 == 0.3205435651 =/= 0.3205432675
     nkd(0,1,1,0,0,0,0,0,1,0,1,1,0) =        -11 /       1315 == -0.0083650190 =/= -0.0083651855
     nke(0,1,1,0,0,0,1,1,0,0,1,0,0) =          3 /       1226 == 0.0024469821 =/= 0.0024471439
     nke(0,1,1,0,0,0,1,1,0,0,0,0,0) =          3 /       1226 == 0.0024469821 =/= 0.0024471439
     nke(0,1,1,0,0,0,0,1,1,1,1,0,0) =        -47 /       1148 == -0.0409407666 =/= -0.0409405294
     nke(0,0,0,1,1,1,1,0,0,0,0,1,0) =         11 /        823 == 0.0133657351 =/= 0.0133659109
     nkd(0,1,1,0,0,0,0,0,0,1,0,1,1) =        -46 /        907 == -0.0507166483 =/= -0.0507171026
     nke(0,1,1,0,0,0,0,1,1,1,0,0,0) =        -47 /       1148 == -0.0409407666 =/= -0.0409405294
     nkd(0,1,1,0,0,0,0,0,0,0,1,1,1) =        -58 /       1019 == -0.0569185476 =/= -0.0569183186
     nke(0,0,0,1,1,0,1,0,0,0,0,1,1) =         31 /       1000 == 0.0310000000 =/= 0.0310002770
     nke(0,1,1,0,0,0,0,1,1,0,1,0,0) =        -47 /       1148 == -0.0409407666 =/= -0.0409405294
     nkd(0,0,0,1,1,1,0,0,1,0,0,0,0) =        289 /        847 == 0.3412042503 =/= 0.3412044474
     nke(0,1,1,0,0,0,0,1,1,0,0,0,0) =        -47 /       1148 == -0.0409407666 =/= -0.0409405294
     nkd(0,0,0,1,1,1,0,0,0,0,0,0,0) =        583 /       1448 == 0.4026243094 =/= 0.4026240125
     nkd(0,0,1,1,0,1,1,1,1,_,_,_,_) =        445 /       1258 == 0.3537360890 =/= 0.3537361347
     nkd(0,0,1,1,0,1,1,0,1,1,1,_,_) =        445 /       1258 == 0.3537360890 =/= 0.3537361347
     nke(0,0,1,0,1,0,1,1,1,1,1,_,_) =       -149 /       1197 == -0.1244778613 =/= -0.1244780332
     nkd(0,0,1,1,0,1,1,0,0,1,1,1,1) =        320 /       1297 == 0.2467232074 =/= 0.2467236445
     nkd(0,0,1,1,0,1,0,1,1,1,1,_,_) =        373 /       1166 == 0.3198970840 =/= 0.3198969915
     nke(0,1,0,1,0,1,1,1,0,1,0,1,1) =        -58 /       1389 == -0.0417566595 =/= -0.0417562880
     nkd(0,0,1,1,0,1,0,0,1,1,1,1,1) =        373 /       1166 == 0.3198970840 =/= 0.3198969915
     nke(0,1,0,1,0,1,1,1,0,0,1,1,1) =         67 /       1344 == 0.0498511905 =/= 0.0498513565
     nkd(0,0,1,1,0,0,1,1,1,1,1,_,_) =        529 /       1408 == 0.3757102273 =/= 0.3757100463
     nkd(0,0,1,1,0,0,1,0,0,1,1,1,1) =        363 /       1480 == 0.2452702703 =/= 0.2452703148
     nkd(0,0,1,1,0,0,0,1,1,1,1,1,1) =        221 /       1025 == 0.2156097561 =/= 0.2156094119
     nkd(0,0,1,1,0,0,0,0,0,1,1,1,1) =        363 /       1480 == 0.2452702703 =/= 0.2452703148
     nke(0,1,0,1,0,1,0,1,1,1,1,_,_) =         17 /        911 == 0.0186608123 =/= 0.0186606260
     nkd(0,0,1,1,0,1,0,1,1,1,0,1,1) =        209 /       1454 == 0.1437414030 =/= 0.1437411467
     nkd(0,0,1,1,0,0,1,1,1,1,0,1,1) =        209 /       1454 == 0.1437414030 =/= 0.1437411467
     nkd(0,0,1,1,0,0,0,1,1,1,0,1,1) =        209 /       1454 == 0.1437414030 =/= 0.1437411467
     nkd(0,0,1,1,0,1,0,1,0,1,0,1,1) =        315 /        827 == 0.3808948005 =/= 0.3808944987
     nkd(0,0,1,1,0,0,1,1,0,1,0,1,1) =        317 /        897 == 0.3534002230 =/= 0.3534003350
     nke(0,0,1,0,1,1,0,1,1,1,0,0,1) =         33 /        992 == 0.0332661290 =/= 0.0332663317
     nkd(0,0,1,1,0,0,0,1,0,1,0,1,1) =        367 /       1470 == 0.2496598639 =/= 0.2496598478
     nke(0,0,1,0,1,1,0,1,1,1,0,0,0) =        184 /       1343 == 0.1370067014 =/= 0.1370068189
     nkd(0,0,1,1,0,1,1,0,1,1,0,1,1) =        445 /       1258 == 0.3537360890 =/= 0.3537361347
     nkd(0,0,1,1,0,1,0,0,1,1,0,1,1) =        411 /       1079 == 0.3809082484 =/= 0.3809078199
     nke(0,1,0,1,0,1,0,0,0,0,1,1,1) =          1 /       1057 == 0.0009460738 =/= 0.0009460689
     nke(0,1,0,1,0,1,0,1,1,0,0,1,1) =         17 /        911 == 0.0186608123 =/= 0.0186606260
     nkd(0,1,0,0,1,1,1,1,0,0,0,0,0) =        -98 /       1307 == -0.0749808722 =/= -0.0749806777
     nkd(0,0,1,1,0,1,0,1,1,0,1,1,1) =        113 /       1125 == 0.1004444444 =/= 0.1004443477
     nkd(0,0,1,1,0,0,0,1,1,0,1,1,1) =        113 /       1125 == 0.1004444444 =/= 0.1004443477
     nkd(0,1,0,0,1,1,1,0,1,1,0,1,1) =        -12 /       1151 == -0.0104257168 =/= -0.0104258827
     nkd(0,1,0,0,1,1,1,0,1,1,0,1,0) =         52 /       1201 == 0.0432972523 =/= 0.0432967990
     nke(0,0,1,0,1,1,0,1,1,0,1,1,0) =         22 /       1315 == 0.0167300380 =/= 0.0167298434
     nkd(0,1,0,0,1,1,1,0,1,1,0,0,1) =         52 /       1201 == 0.0432972523 =/= 0.0432967990
     nke(0,0,1,0,1,1,0,1,1,0,1,0,1) =         33 /        992 == 0.0332661290 =/= 0.0332663317
     nkd(0,0,1,1,0,0,0,1,0,0,1,1,1) =        367 /       1470 == 0.2496598639 =/= 0.2496598478
     nke(0,0,1,0,1,1,0,1,1,0,1,0,0) =        184 /       1343 == 0.1370067014 =/= 0.1370068189
     nkd(0,0,1,1,0,1,1,0,1,0,1,1,1) =        445 /       1258 == 0.3537360890 =/= 0.3537361347
     nkd(0,0,1,1,0,0,1,0,1,0,1,1,1) =        422 /       1237 == 0.3411479386 =/= 0.3411474696
     nkd(0,1,0,0,1,1,1,0,1,0,1,0,1) =        199 /       1269 == 0.1568163909 =/= 0.1568159696
     nkd(0,1,0,0,1,1,1,0,1,0,1,0,0) =        199 /       1269 == 0.1568163909 =/= 0.1568159696
     nkd(0,0,1,1,0,1,1,0,0,0,1,1,1) =        422 /       1059 == 0.3984891407 =/= 0.3984894288
     nkd(0,0,1,1,0,1,0,0,0,0,1,1,1) =        487 /       1213 == 0.4014839242 =/= 0.4014837969
     nkd(0,0,1,1,0,0,1,0,0,0,1,1,1) =        457 /       1222 == 0.3739770867 =/= 0.3739773672
     nkd(0,0,1,1,0,0,0,0,0,0,1,1,1) =        344 /       1125 == 0.3057777778 =/= 0.3057774436
     nkd(0,1,0,0,1,1,1,0,1,0,0,0,0) =         52 /       1201 == 0.0432972523 =/= 0.0432967990
     nkd(0,1,0,0,1,1,1,0,0,1,1,1,1) =        -37 /        890 == -0.0415730337 =/= -0.0415732204
     nkd(0,0,1,1,0,1,0,1,1,0,0,1,1) =        313 /        892 == 0.3508968610 =/= 0.3508972685
     nkd(0,1,0,0,1,1,1,0,0,1,1,1,0) =        -19 /       1423 == -0.0133520731 =/= -0.0133523259
     nkd(0,0,1,1,0,0,1,1,1,0,0,1,1) =        165 /       1277 == 0.1292090838 =/= 0.1292089054
     nke(0,1,0,1,0,0,0,0,1,1,1,1,1) =         16 /       1101 == 0.0145322434 =/= 0.0145322413
     nkd(0,1,0,0,1,1,1,0,0,1,0,1,1) =        -57 /       1169 == -0.0487596236 =/= -0.0487598095
     nke(0,0,1,0,1,1,0,1,1,0,0,1,0) =         38 /        803 == 0.0473225405 =/= 0.0473221752
     nkd(0,1,0,0,1,1,1,0,0,1,0,0,1) =        -31 /        926 == -0.0334773218 =/= -0.0334772287
     nke(0,0,1,0,1,1,0,1,1,0,0,0,1) =         33 /        992 == 0.0332661290 =/= 0.0332663317
     nke(0,1,0,1,0,0,0,0,1,1,0,1,1) =         16 /       1101 == 0.0145322434 =/= 0.0145322413
     nkd(0,0,1,1,0,0,0,1,0,0,0,1,1) =        361 /       1275 == 0.2831372549 =/= 0.2831370765
     nkd(0,0,1,1,0,1,1,0,1,0,0,1,1) =        445 /       1258 == 0.3537360890 =/= 0.3537361347
     nkd(0,1,0,0,1,1,1,0,0,0,1,1,1) =        218 /       1363 == 0.1599413059 =/= 0.1599413076
     nke(0,1,0,1,0,0,0,1,1,0,1,1,1) =       -107 /       1405 == -0.0761565836 =/= -0.0761565043
     nkd(0,0,1,1,0,1,0,0,1,0,0,1,1) =        373 /       1166 == 0.3198970840 =/= 0.3198969915
     nkd(0,1,0,0,1,1,1,0,0,0,1,1,0) =        130 /        927 == 0.1402373247 =/= 0.1402376713
     nkd(0,1,0,0,1,1,1,0,0,0,1,0,1) =        218 /       1363 == 0.1599413059 =/= 0.1599413076
     nkd(0,0,1,1,0,0,0,0,1,0,0,1,1) =        383 /       1144 == 0.3347902098 =/= 0.3347904879
     nkd(0,1,0,0,1,1,1,0,0,0,0,1,0) =         -9 /        895 == -0.0100558659 =/= -0.0100560546
     nke(0,1,0,1,0,0,0,0,1,0,0,1,1) =         16 /       1101 == 0.0145322434 =/= 0.0145322413
     nke(0,0,1,0,1,1,1,1,0,1,1,_,_) =         89 /       1483 == 0.0600134862 =/= 0.0600133212
     nke(0,1,0,1,0,1,1,0,0,1,1,1,0) =        -62 /       1231 == -0.0503655565 =/= -0.0503657395
     nkd(0,1,0,0,1,1,0,1,1,1,0,1,1) =        -37 /        944 == -0.0391949153 =/= -0.0391945291
     nkd(0,1,0,0,1,1,0,1,1,1,0,1,0) =        -37 /        944 == -0.0391949153 =/= -0.0391945291
     nkd(0,1,0,0,1,1,0,1,1,1,0,0,1) =        -37 /        944 == -0.0391949153 =/= -0.0391945291
     nke(0,1,0,1,0,1,1,0,1,1,0,1,0) =         11 /        949 == 0.0115911486 =/= 0.0115911579
     nkd(0,1,0,0,1,1,0,1,1,1,0,0,0) =        -37 /        944 == -0.0391949153 =/= -0.0391945291
     nke(0,0,1,0,1,1,0,1,0,1,1,0,0) =        218 /       1395 == 0.1562724014 =/= 0.1562721745
     nke(0,1,0,1,0,1,1,0,0,1,0,1,0) =        -62 /       1231 == -0.0503655565 =/= -0.0503657395
     nke(0,0,1,0,1,0,1,1,0,1,1,1,1) =         40 /       1091 == 0.0366636114 =/= 0.0366636331
     nkd(0,0,1,1,0,1,0,0,1,1,1,1,0) =        373 /       1166 == 0.3198970840 =/= 0.3198969915
     nke(0,0,1,0,1,0,1,1,0,1,1,1,0) =         -5 /        924 == -0.0054112554 =/= -0.0054109128
     nkd(0,0,1,1,0,0,1,0,1,1,1,1,0) =        529 /       1408 == 0.3757102273 =/= 0.3757100463
     nke(0,0,1,0,1,0,1,1,0,1,1,0,1) =         -9 /       1342 == -0.0067064083 =/= -0.0067066303
     nke(0,1,0,1,0,1,1,0,0,0,1,1,0) =         22 /       1461 == 0.0150581793 =/= 0.0150584946
     nke(0,0,1,0,1,0,0,1,0,1,1,1,1) =          1 /        837 == 0.0011947431 =/= 0.0011950830
     nke(0,0,1,0,1,0,0,1,0,1,1,1,0) =          1 /        837 == 0.0011947431 =/= 0.0011950830
     nkd(0,0,1,1,0,0,1,0,0,1,1,1,0) =        495 /       1289 == 0.3840186191 =/= 0.3840182540
     nke(0,0,1,0,1,0,0,1,0,1,1,0,1) =         17 /        911 == 0.0186608123 =/= 0.0186606260
     nkd(0,1,0,0,1,1,0,1,0,1,1,1,1) =         13 /        911 == 0.0142700329 =/= 0.0142699060
     nkd(0,0,1,1,0,1,0,1,1,1,0,1,0) =        411 /       1079 == 0.3809082484 =/= 0.3809078199
     nke(0,0,1,0,1,1,1,1,0,1,0,0,1) =         89 /       1483 == 0.0600134862 =/= 0.0600133212
     nkd(0,0,1,1,0,1,0,1,0,1,0,1,0) =        315 /        827 == 0.3808948005 =/= 0.3808944987
     nke(0,1,0,1,0,1,0,1,0,1,0,1,0) =       -118 /       1477 == -0.0798916723 =/= -0.0798913201
     nke(0,0,1,0,1,1,0,1,0,1,0,0,0) =        218 /       1395 == 0.1562724014 =/= 0.1562721745
     nkd(0,0,1,1,0,1,1,0,1,1,0,1,0) =        445 /       1258 == 0.3537360890 =/= 0.3537361347
     nkd(0,1,0,0,1,1,0,1,0,0,1,1,1) =        -29 /       1295 == -0.0223938224 =/= -0.0223937272
     nke(0,0,1,0,1,0,1,1,0,1,0,1,1) =         40 /       1091 == 0.0366636114 =/= 0.0366636331
     nke(0,1,0,1,0,1,0,1,1,0,1,1,0) =         17 /        911 == 0.0186608123 =/= 0.0186606260
     nkd(0,0,1,1,0,1,0,0,1,1,0,1,0) =        411 /       1079 == 0.3809082484 =/= 0.3809078199
     nke(0,0,1,0,1,0,1,1,0,1,0,1,0) =         -5 /        924 == -0.0054112554 =/= -0.0054109128
     nke(0,0,1,0,1,0,1,1,0,1,0,0,1) =         -9 /       1342 == -0.0067064083 =/= -0.0067066303
     nke(0,0,1,0,1,0,0,1,0,1,0,1,1) =          1 /        837 == 0.0011947431 =/= 0.0011950830
     nkd(0,1,0,0,1,1,0,1,0,0,0,1,0) =        -95 /       1352 == -0.0702662722 =/= -0.0702666878
     nke(0,0,1,0,1,0,0,1,0,1,0,1,0) =          1 /        837 == 0.0011947431 =/= 0.0011950830
     nkd(0,0,1,1,0,0,1,0,0,1,0,1,0) =        467 /       1269 == 0.3680063042 =/= 0.3680060407
     nke(0,0,1,0,1,0,0,1,0,1,0,0,1) =         17 /        911 == 0.0186608123 =/= 0.0186606260
     nkd(0,1,0,0,1,1,0,1,0,0,0,0,0) =        -98 /       1307 == -0.0749808722 =/= -0.0749806777
     nke(0,0,1,0,1,1,1,1,0,0,1,1,1) =         30 /        911 == 0.0329308452 =/= 0.0329305319
     nkd(0,0,1,1,0,1,0,1,1,0,1,1,0) =         82 /       1037 == 0.0790742527 =/= 0.0790745064
     nkd(0,0,1,1,0,0,1,1,1,0,1,1,0) =        422 /       1237 == 0.3411479386 =/= 0.3411474696
     nkd(0,0,1,1,0,0,0,1,1,0,1,1,0) =        367 /       1137 == 0.3227792436 =/= 0.3227795144
     nke(0,0,1,0,1,1,1,1,0,0,1,0,0) =         89 /       1483 == 0.0600134862 =/= 0.0600133212
     nkd(0,1,0,0,1,1,0,0,1,1,0,1,1) =        -37 /        944 == -0.0391949153 =/= -0.0391945291
     nkd(0,1,0,0,1,1,0,0,1,1,0,1,0) =        -37 /        944 == -0.0391949153 =/= -0.0391945291
     nkd(0,1,0,0,1,1,0,0,1,1,0,0,1) =        -37 /        944 == -0.0391949153 =/= -0.0391945291
     nke(0,1,0,1,0,0,1,0,1,1,0,1,0) =         81 /        901 == 0.0899001110 =/= 0.0899000251
     nkd(0,1,0,0,1,1,0,0,1,1,0,0,0) =        -37 /        944 == -0.0391949153 =/= -0.0391945291
     nke(0,0,1,0,1,1,0,1,0,0,1,0,0) =        218 /       1395 == 0.1562724014 =/= 0.1562721745
     nkd(0,0,1,1,0,1,1,0,1,0,1,1,0) =        445 /       1258 == 0.3537360890 =/= 0.3537361347
     nkd(0,1,0,0,1,1,0,0,1,0,1,1,1) =        -45 /       1012 == -0.0444664032 =/= -0.0444662947
     nke(0,0,1,0,1,0,1,1,0,0,1,1,1) =         40 /       1091 == 0.0366636114 =/= 0.0366636331
     nke(0,0,1,0,1,0,1,1,0,0,1,1,0) =         -5 /        924 == -0.0054112554 =/= -0.0054109128
     nkd(0,0,1,1,0,0,1,0,1,0,1,1,0) =        422 /       1237 == 0.3411479386 =/= 0.3411474696
     nke(0,0,1,0,1,0,1,1,0,0,1,0,1) =        -62 /       1397 == -0.0443808160 =/= -0.0443808280
     nke(0,1,0,1,0,0,1,0,1,0,1,1,0) =         81 /        901 == 0.0899001110 =/= 0.0899000251
     nkd(0,0,1,1,0,1,1,0,0,0,1,1,0) =        422 /       1059 == 0.3984891407 =/= 0.3984894288
     nkd(0,1,0,0,1,1,0,0,1,0,0,1,1) =        -48 /        893 == -0.0537513998 =/= -0.0537510387
     nke(0,0,1,0,1,0,0,1,0,0,1,1,1) =          1 /        837 == 0.0011947431 =/= 0.0011950830
     nkd(0,0,1,1,0,1,0,0,0,0,1,1,0) =        487 /       1213 == 0.4014839242 =/= 0.4014837969
     nke(0,0,1,0,1,0,0,1,0,0,1,1,0) =          1 /        837 == 0.0011947431 =/= 0.0011950830
     nkd(0,0,1,1,0,0,1,0,0,0,1,1,0) =        457 /       1222 == 0.3739770867 =/= 0.3739773672
     nke(0,0,1,0,1,0,0,1,0,0,1,0,1) =         17 /        911 == 0.0186608123 =/= 0.0186606260
     nkd(0,0,1,1,0,0,0,0,0,0,1,1,0) =        344 /       1125 == 0.3057777778 =/= 0.3057774436
     nke(0,1,0,1,0,0,0,1,1,1,1,1,0) =         16 /       1191 == 0.0134340890 =/= 0.0134340996
     nkd(0,0,1,1,0,1,0,1,1,0,0,1,0) =        313 /        892 == 0.3508968610 =/= 0.3508972685
     nkd(0,0,1,1,0,0,1,1,1,0,0,1,0) =        293 /        860 == 0.3406976744 =/= 0.3406971867
     nke(0,0,1,0,1,1,1,1,0,0,0,0,1) =         89 /       1483 == 0.0600134862 =/= 0.0600133212
     nke(0,0,1,0,1,1,1,1,0,0,0,0,0) =         89 /       1483 == 0.0600134862 =/= 0.0600133212
     nkd(0,1,0,0,1,1,0,0,0,1,0,1,1) =        -29 /        792 == -0.0366161616 =/= -0.0366164154
     nke(0,1,0,1,0,0,0,1,1,1,0,1,0) =         16 /       1191 == 0.0134340890 =/= 0.0134340996
     nkd(0,1,0,0,1,1,0,0,0,1,0,1,0) =        -29 /        792 == -0.0366161616 =/= -0.0366164154
     nkd(0,1,0,0,1,1,0,0,0,1,0,0,1) =        -29 /        792 == -0.0366161616 =/= -0.0366164154
     nke(0,1,0,1,0,0,0,0,1,1,0,1,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(0,0,1,1,0,0,0,1,0,0,0,1,0) =        361 /       1275 == 0.2831372549 =/= 0.2831370765
     nkd(0,1,0,0,1,1,0,0,0,1,0,0,0) =        -29 /        792 == -0.0366161616 =/= -0.0366164154
     nke(0,0,1,0,1,1,0,1,0,0,0,0,0) =        218 /       1395 == 0.1562724014 =/= 0.1562721745
     nkd(0,0,1,1,0,1,1,0,1,0,0,1,0) =        445 /       1258 == 0.3537360890 =/= 0.3537361347
     nke(0,0,1,0,1,0,1,1,0,0,0,1,1) =         40 /       1091 == 0.0366636114 =/= 0.0366636331
     nke(0,1,0,1,0,0,0,1,1,0,1,1,0) =         16 /       1191 == 0.0134340890 =/= 0.0134340996
     nkd(0,0,1,1,0,1,0,0,1,0,0,1,0) =        373 /       1166 == 0.3198970840 =/= 0.3198969915
     nke(0,0,1,0,1,0,1,1,0,0,0,1,0) =         -5 /        924 == -0.0054112554 =/= -0.0054109128
     nke(0,0,1,0,1,0,1,1,0,0,0,0,1) =         -9 /       1342 == -0.0067064083 =/= -0.0067066303
     nke(0,1,0,1,0,0,0,0,1,0,1,1,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(0,0,1,1,0,0,0,0,1,0,0,1,0) =        383 /       1144 == 0.3347902098 =/= 0.3347904879
     nkd(0,1,0,0,1,1,0,0,0,0,0,1,1) =        -16 /       1191 == -0.0134340890 =/= -0.0134340996
     nke(0,0,1,0,1,0,0,1,0,0,0,1,1) =          1 /        837 == 0.0011947431 =/= 0.0011950830
     nke(0,1,0,1,0,0,0,1,1,0,0,1,0) =         16 /       1191 == 0.0134340890 =/= 0.0134340996
     nkd(0,1,0,0,1,1,0,0,0,0,0,1,0) =        -16 /       1191 == -0.0134340890 =/= -0.0134340996
     nke(0,0,1,0,1,0,0,1,0,0,0,1,0) =          1 /        837 == 0.0011947431 =/= 0.0011950830
     nkd(0,1,0,0,1,1,0,0,0,0,0,0,1) =        -25 /        999 == -0.0250250250 =/= -0.0250252575
     nke(0,0,1,0,1,0,0,1,0,0,0,0,1) =         17 /        911 == 0.0186608123 =/= 0.0186606260
     nke(0,1,0,1,0,0,0,0,1,0,0,1,0) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nkd(0,1,0,0,1,1,0,0,0,0,0,0,0) =        -16 /       1191 == -0.0134340890 =/= -0.0134340996
     nkd(0,1,0,0,1,0,1,1,1,1,0,1,1) =        -11 /        949 == -0.0115911486 =/= -0.0115911579
     nke(0,0,1,0,1,1,0,0,1,1,1,1,1) =        -51 /       1238 == -0.0411954766 =/= -0.0411950830
     nkd(0,1,0,0,1,0,1,1,1,1,0,1,0) =         -6 /       1241 == -0.0048348106 =/= -0.0048348039
     nke(0,0,1,0,1,1,0,0,1,1,1,0,1) =         26 /       1043 == 0.0249280920 =/= 0.0249283161
     nkd(0,1,0,0,1,0,1,1,1,1,0,0,0) =        190 /       1303 == 0.1458173446 =/= 0.1458174072
     nke(0,0,1,0,1,1,0,0,1,1,1,0,0) =        -92 /       1163 == -0.0791057610 =/= -0.0791055013
     nkd(0,1,0,0,1,0,1,1,0,1,1,1,1) =         67 /        775 == 0.0864516129 =/= 0.0864519448
     nke(0,0,1,0,1,1,1,0,1,1,0,1,1) =        -89 /       1233 == -0.0721816707 =/= -0.0721820388
     nkd(0,0,1,1,0,1,0,1,1,1,0,0,1) =        411 /       1079 == 0.3809082484 =/= 0.3809078199
     nkd(0,1,0,0,1,0,1,1,0,1,1,1,0) =         67 /        775 == 0.0864516129 =/= 0.0864519448
     nkd(0,1,0,0,1,0,1,1,0,1,1,0,1) =         67 /        775 == 0.0864516129 =/= 0.0864519448
     nkd(0,0,1,1,0,0,0,1,1,1,0,0,1) =        482 /       1007 == 0.4786494538 =/= 0.4786494151
     nke(0,1,0,1,0,1,0,0,0,1,1,0,1) =        -79 /       1089 == -0.0725436180 =/= -0.0725432939
     nkd(0,1,0,0,1,0,1,1,0,1,0,1,1) =          5 /       1131 == 0.0044208665 =/= 0.0044210554
     nke(0,0,1,0,1,1,0,0,1,1,0,1,1) =        -51 /       1238 == -0.0411954766 =/= -0.0411950830
     nkd(0,0,1,1,0,1,0,1,0,1,0,0,1) =        315 /        827 == 0.3808948005 =/= 0.3808944987
     nkd(0,1,0,0,1,0,1,1,0,1,0,1,0) =          5 /       1131 == 0.0044208665 =/= 0.0044210554
     nkd(0,0,1,1,0,0,1,1,0,1,0,0,1) =        293 /        820 == 0.3573170732 =/= 0.3573172951
     nkd(0,1,0,0,1,0,1,1,0,1,0,0,1) =          5 /       1131 == 0.0044208665 =/= 0.0044210554
     nke(0,0,1,0,1,1,0,0,1,1,0,0,1) =         26 /       1043 == 0.0249280920 =/= 0.0249283161
     nkd(0,0,1,1,0,0,0,1,0,1,0,0,1) =        250 /        969 == 0.2579979360 =/= 0.2579978633
     nke(0,0,1,0,1,1,1,0,1,0,1,1,1) =       -137 /       1360 == -0.1007352941 =/= -0.1007351719
     nkd(0,0,1,1,0,0,1,1,1,0,1,0,1) =        422 /       1237 == 0.3411479386 =/= 0.3411474696
     nkd(0,0,1,1,0,1,1,1,0,0,1,0,1) =        345 /        917 == 0.3762268266 =/= 0.3762269352
     nke(0,0,1,0,1,1,0,0,1,0,1,1,1) =        -51 /       1238 == -0.0411954766 =/= -0.0411950830
     nke(0,0,1,0,1,1,0,0,1,0,1,0,1) =         26 /       1043 == 0.0249280920 =/= 0.0249283161
     nkd(0,0,1,1,0,0,0,1,0,0,1,0,1) =        240 /       1163 == 0.2063628547 =/= 0.2063630488
     nke(0,1,0,1,0,0,0,1,1,1,1,0,1) =         16 /       1191 == 0.0134340890 =/= 0.0134340996
     nkd(0,0,1,1,0,1,0,1,1,0,0,0,1) =        313 /        892 == 0.3508968610 =/= 0.3508972685
     nke(0,1,0,1,0,0,0,0,1,1,1,0,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nke(0,0,1,0,1,1,0,0,1,0,0,1,1) =        -51 /       1238 == -0.0411954766 =/= -0.0411950830
     nke(0,1,0,1,0,0,0,1,1,1,0,0,1) =          5 /       1131 == 0.0044208665 =/= 0.0044210554
     nke(0,0,1,0,1,1,0,0,1,0,0,0,1) =         26 /       1043 == 0.0249280920 =/= 0.0249283161
     nke(0,1,0,1,0,0,0,0,1,1,0,0,1) =         -2 /       1255 == -0.0015936255 =/= -0.0015939276
     nke(0,0,1,0,1,1,1,0,0,1,1,1,0) =         79 /       1445 == 0.0546712803 =/= 0.0546712565
     nke(0,0,1,0,1,1,1,0,0,1,1,0,0) =        -11 /       1498 == -0.0073431242 =/= -0.0073427505
     nkd(0,1,0,0,1,0,0,1,1,1,0,1,1) =         80 /       1451 == 0.0551343901 =/= 0.0551340693
     nke(0,0,1,0,1,1,0,0,0,1,1,1,1) =       -124 /       1149 == -0.1079199304 =/= -0.1079203102
     nkd(0,1,0,0,1,0,0,1,1,1,0,1,0) =         98 /       1469 == 0.0667120490 =/= 0.0667119060
     nke(0,0,1,0,1,1,0,0,0,1,1,1,0) =          5 /       1022 == 0.0048923679 =/= 0.0048925731
     nke(0,1,0,1,0,1,1,1,0,1,0,0,0) =         -5 /       1037 == -0.0048216008 =/= -0.0048214827
     nke(0,0,1,0,1,1,0,0,0,1,1,0,1) =        -40 /        957 == -0.0417972832 =/= -0.0417969111
     nkd(0,1,0,0,1,0,0,1,1,1,0,0,0) =         98 /       1469 == 0.0667120490 =/= 0.0667119060
     nke(0,0,1,0,1,1,1,0,0,1,0,1,1) =        143 /       1071 == 0.1335200747 =/= 0.1335198301
     nkd(0,0,1,1,0,1,0,1,1,1,0,0,0) =        411 /       1079 == 0.3809082484 =/= 0.3809078199
     nke(0,0,1,0,1,1,1,0,0,1,0,1,0) =         79 /       1445 == 0.0546712803 =/= 0.0546712565
     nkd(0,0,1,1,0,0,0,1,1,1,0,0,0) =        482 /       1007 == 0.4786494538 =/= 0.4786494151
     nke(0,0,1,0,1,1,0,0,0,1,0,1,1) =       -124 /       1149 == -0.1079199304 =/= -0.1079203102
     nkd(0,0,1,1,0,1,0,1,0,1,0,0,0) =        315 /        827 == 0.3808948005 =/= 0.3808944987
     nkd(0,1,0,0,1,0,0,1,0,1,0,1,0) =          1 /       1137 == 0.0008795075 =/= 0.0008795948
     nke(0,0,1,0,1,1,0,0,0,1,0,1,0) =          5 /       1022 == 0.0048923679 =/= 0.0048925731
     nke(0,0,1,0,1,1,0,0,0,1,0,0,1) =        -40 /        957 == -0.0417972832 =/= -0.0417969111
     nke(0,0,1,0,1,1,0,0,0,1,0,0,0) =        -47 /       1346 == -0.0349182764 =/= -0.0349184241
     nkd(0,1,0,0,1,0,0,0,1,1,1,1,1) =        -21 /        964 == -0.0217842324 =/= -0.0217843812
     nke(0,0,1,0,1,1,1,0,0,0,1,1,1) =         47 /        859 == 0.0547147846 =/= 0.0547149131
     nkd(0,1,0,0,1,0,0,0,1,1,1,1,0) =        -38 /       1481 == -0.0256583390 =/= -0.0256582123
     nke(0,0,1,0,1,1,1,0,0,0,1,1,0) =         79 /       1445 == 0.0546712803 =/= 0.0546712565
     nkd(0,0,1,1,0,0,1,1,1,0,1,0,0) =        422 /       1237 == 0.3411479386 =/= 0.3411474696
     nkd(0,1,0,0,1,0,0,0,1,1,1,0,1) =        -21 /        964 == -0.0217842324 =/= -0.0217843812
     nkd(0,0,1,1,0,0,0,1,1,0,1,0,0) =        367 /       1137 == 0.3227792436 =/= 0.3227795144
     nkd(0,1,0,0,1,0,0,0,1,1,1,0,0) =        -21 /        964 == -0.0217842324 =/= -0.0217843812
     nke(0,0,1,0,1,1,0,0,0,0,1,1,1) =       -124 /       1149 == -0.1079199304 =/= -0.1079203102
     nkd(0,0,1,1,0,0,1,1,0,0,1,0,0) =        371 /       1143 == 0.3245844269 =/= 0.3245843390
     nke(0,0,1,0,1,1,0,0,0,0,1,0,1) =        -40 /        957 == -0.0417972832 =/= -0.0417969111
     nkd(0,1,0,0,1,0,0,0,0,1,1,1,1) =        -32 /        975 == -0.0328205128 =/= -0.0328207969
     nke(0,0,1,0,1,1,1,0,0,0,0,1,1) =         38 /       1499 == 0.0253502335 =/= 0.0253503739
     nkd(0,0,1,1,0,1,0,1,1,0,0,0,0) =        313 /        892 == 0.3508968610 =/= 0.3508972685
     nkd(0,1,0,0,1,0,0,0,0,1,1,1,0) =        -32 /        975 == -0.0328205128 =/= -0.0328207969
     nke(0,0,1,0,1,1,1,0,0,0,0,1,0) =         79 /       1445 == 0.0546712803 =/= 0.0546712565
     nke(0,1,0,1,0,0,0,1,0,1,1,0,0) =         13 /        934 == 0.0139186296 =/= 0.0139189385
     nkd(0,0,1,1,0,0,1,1,1,0,0,0,0) =        293 /        860 == 0.3406976744 =/= 0.3406971867
     nke(0,1,0,1,0,0,0,0,1,1,1,0,0) =         10 /        991 == 0.0100908174 =/= 0.0100903467
     nkd(0,1,0,0,1,0,0,0,0,1,1,0,0) =        -32 /        975 == -0.0328205128 =/= -0.0328207969
     nke(0,0,1,0,1,1,1,0,0,0,0,0,0) =        111 /       1400 == 0.0792857143 =/= 0.0792860629
     nkd(0,1,0,0,1,0,0,0,0,1,0,1,1) =         40 /       1301 == 0.0307455803 =/= 0.0307453277
     nke(0,0,1,0,1,1,0,0,0,0,0,1,1) =       -124 /       1149 == -0.1079199304 =/= -0.1079203102
     nke(0,0,1,0,1,1,0,0,0,0,0,1,0) =         -7 /       1045 == -0.0066985646 =/= -0.0066985848
     nke(0,1,0,1,0,0,0,1,0,1,0,0,0) =         13 /        934 == 0.0139186296 =/= 0.0139189385
     nkd(0,1,0,0,1,0,0,0,0,1,0,0,1) =         62 /       1347 == 0.0460282108 =/= 0.0460279086
     nke(0,0,1,0,1,1,0,0,0,0,0,0,1) =        -40 /        957 == -0.0417972832 =/= -0.0417969111
     nke(0,1,0,1,0,0,0,0,1,1,0,0,0) =         10 /        991 == 0.0100908174 =/= 0.0100903467
     nkd(0,0,1,1,0,0,0,1,0,0,0,0,0) =        361 /       1275 == 0.2831372549 =/= 0.2831370765
     nke(0,0,1,0,1,1,0,0,0,0,0,0,0) =         43 /        978 == 0.0439672802 =/= 0.0439669476
     nke(0,1,0,0,1,1,0,1,1,1,1,_,_) =        117 /       1228 == 0.0952768730 =/= 0.0952769095
     nkd(0,1,0,1,0,1,1,0,0,1,1,1,1) =        -87 /        835 == -0.1041916168 =/= -0.1041920891
     nkd(0,1,0,1,0,1,0,1,0,1,1,1,1) =         -7 /       1201 == -0.0058284763 =/= -0.0058283544
     nke(0,1,0,0,1,0,0,1,1,1,1,1,0) =        -25 /        779 == -0.0320924262 =/= -0.0320923515
     nkd(0,1,0,1,0,0,1,1,0,1,1,1,1) =        124 /        991 == 0.1251261352 =/= 0.1251258919
     nkd(0,1,0,1,0,0,0,1,1,1,1,1,1) =        -87 /        835 == -0.1041916168 =/= -0.1041920891
     nkd(0,1,0,1,0,0,0,1,0,1,1,1,1) =         -7 /       1201 == -0.0058284763 =/= -0.0058283544
     nke(0,1,0,0,1,1,1,0,0,0,0,1,1) =         89 /        925 == 0.0962162162 =/= 0.0962158562
     nkd(0,1,0,1,0,1,0,1,1,1,0,1,1) =         33 /        887 == 0.0372040586 =/= 0.0372042628
     nkd(0,1,0,1,0,0,0,1,1,1,0,1,1) =         35 /       1284 == 0.0272585670 =/= 0.0272584708
     nke(0,1,0,0,1,1,0,0,0,1,1,1,1) =         11 /       1106 == 0.0099457505 =/= 0.0099457920
     nke(0,1,0,0,1,1,0,1,1,1,0,1,1) =         41 /       1093 == 0.0375114364 =/= 0.0375115736
     nke(0,1,0,0,1,1,0,1,0,1,0,1,1) =         84 /       1283 == 0.0654715511 =/= 0.0654715836
     nke(0,1,0,0,1,1,0,1,1,1,0,0,0) =        117 /       1228 == 0.0952768730 =/= 0.0952769095
     nkd(0,1,0,1,0,1,1,1,0,0,1,0,0) =         41 /       1388 == 0.0295389049 =/= 0.0295389019
     nke(0,1,0,0,1,1,0,0,0,0,1,1,1) =         11 /       1106 == 0.0099457505 =/= 0.0099457920
     nke(0,1,0,0,1,1,0,1,1,0,0,1,1) =        -35 /       1327 == -0.0263752826 =/= -0.0263755787
     nkd(0,1,0,1,0,1,0,0,0,1,0,1,1) =        187 /        947 == 0.1974656811 =/= 0.1974656748
     nke(0,1,0,0,1,0,0,1,1,1,0,1,0) =        -25 /        779 == -0.0320924262 =/= -0.0320923515
     nke(0,1,0,0,1,1,0,1,0,0,0,1,1) =         84 /       1283 == 0.0654715511 =/= 0.0654715836
     nkd(0,1,0,1,0,0,1,0,0,1,0,1,1) =        241 /        908 == 0.2654185022 =/= 0.2654184307
     nkd(0,1,0,1,0,0,0,0,0,1,0,1,1) =        199 /        820 == 0.2426829268 =/= 0.2426827049
     nke(0,1,0,0,1,0,0,1,1,1,0,0,0) =        -32 /       1469 == -0.0217835262 =/= -0.0217835899
     nke(0,1,0,0,1,1,0,0,0,0,0,1,1) =         11 /       1106 == 0.0099457505 =/= 0.0099457920
     nke(0,1,0,0,1,0,1,1,0,1,1,1,1) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nkd(0,1,0,1,0,1,0,1,0,0,1,1,1) =        169 /       1258 == 0.1343402226 =/= 0.1343403369
     nkd(0,1,0,1,0,1,1,0,1,1,0,1,0) =         50 /       1333 == 0.0375093773 =/= 0.0375091995
     nke(0,1,0,0,1,0,1,1,0,1,0,1,1) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nkd(0,1,0,1,0,1,1,0,1,0,1,1,0) =         -7 /       1125 == -0.0062222222 =/= -0.0062225827
     nkd(0,1,0,1,0,1,1,0,0,0,1,1,1) =        233 /       1417 == 0.1644318984 =/= 0.1644320025
     nkd(0,1,0,1,0,1,1,0,1,0,0,1,0) =        136 /       1025 == 0.1326829268 =/= 0.1326831005
     nke(0,1,0,0,1,0,0,1,1,0,1,1,0) =        -25 /        779 == -0.0320924262 =/= -0.0320923515
     nke(0,1,0,0,1,0,1,1,0,0,0,1,1) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nkd(0,1,0,1,0,1,0,1,1,0,0,1,1) =        155 /        803 == 0.1930261519 =/= 0.1930260225
     nkd(0,1,0,1,0,1,1,0,0,1,0,1,0) =         84 /       1283 == 0.0654715511 =/= 0.0654715836
     nkd(0,1,0,1,0,1,1,0,0,0,1,1,0) =        233 /       1417 == 0.1644318984 =/= 0.1644320025
     nke(0,1,0,0,1,0,1,1,1,0,0,1,0) =        -48 /        989 == -0.0485338726 =/= -0.0485338767
     nke(0,1,0,0,1,0,0,1,1,0,0,1,1) =         41 /       1093 == 0.0375114364 =/= 0.0375115736
     nkd(0,1,0,1,0,1,0,0,0,0,0,1,1) =        342 /       1325 == 0.2581132075 =/= 0.2581135335
     nke(0,1,0,0,1,0,0,1,1,0,0,1,0) =        -25 /        779 == -0.0320924262 =/= -0.0320923515
     nkd(0,1,0,1,0,1,0,1,0,1,1,1,0) =       -102 /       1417 == -0.0719830628 =/= -0.0719828803
     nke(0,1,0,0,1,1,1,1,0,1,0,1,0) =        232 /       1467 == 0.1581458759 =/= 0.1581461111
     nkd(0,1,0,1,0,0,1,1,0,1,1,1,0) =         13 /       1354 == 0.0096011817 =/= 0.0096015511
     nke(0,1,0,0,1,1,1,0,1,1,0,1,0) =        232 /       1467 == 0.1581458759 =/= 0.1581461111
     nke(0,1,0,0,1,1,1,0,0,1,0,1,0) =         43 /        951 == 0.0452155626 =/= 0.0452155792
     nke(0,1,0,0,1,0,1,1,0,1,1,1,0) =         99 /       1471 == 0.0673011557 =/= 0.0673012042
     nke(0,1,0,0,1,1,1,1,0,0,1,1,0) =       -277 /       1475 == -0.1877966102 =/= -0.1877964626
     nkd(0,1,0,1,0,1,0,1,1,0,1,0,1) =         65 /        816 == 0.0796568627 =/= 0.0796565505
     nke(0,1,0,0,1,0,1,1,0,1,1,0,1) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nke(0,1,0,0,1,0,1,1,0,1,1,0,0) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nke(0,1,0,0,1,1,1,0,0,0,1,1,0) =         71 /       1309 == 0.0542398778 =/= 0.0542399662
     nkd(0,1,0,1,0,1,0,0,0,1,1,1,0) =        346 /       1135 == 0.3048458150 =/= 0.3048460149
     nke(0,1,0,0,1,0,0,1,0,1,1,1,0) =       -416 /       1409 == -0.2952448545 =/= -0.2952444638
     nke(0,1,0,0,1,1,1,1,0,0,0,1,0) =        232 /       1467 == 0.1581458759 =/= 0.1581461111
     nkd(0,1,0,1,0,0,0,0,0,1,1,1,0) =        154 /       1489 == 0.1034251175 =/= 0.1034251309
     nke(0,1,0,0,1,0,0,1,0,1,1,0,0) =         69 /       1361 == 0.0506980162 =/= 0.0506981100
     nke(0,1,0,0,1,1,1,0,0,0,0,1,0) =        232 /       1467 == 0.1581458759 =/= 0.1581461111
     nkd(0,1,0,1,0,1,0,1,0,1,0,0,0) =         99 /        958 == 0.1033402923 =/= 0.1033400599
     nke(0,1,0,0,1,0,1,1,0,1,0,1,0) =         99 /       1471 == 0.0673011557 =/= 0.0673012042
     nkd(0,1,0,1,0,0,1,0,1,1,0,1,0) =        585 /       1438 == 0.4068150209 =/= 0.4068147826
     nke(0,1,0,0,1,0,1,1,0,1,0,0,1) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nkd(0,1,0,1,0,1,0,1,0,0,1,0,0) =        136 /       1333 == 0.1020255064 =/= 0.1020253498
     nke(0,1,0,0,1,0,1,1,0,1,0,0,0) =          5 /        931 == 0.0053705693 =/= 0.0053709492
     nkd(0,1,0,1,0,1,0,0,0,1,0,1,0) =        342 /       1325 == 0.2581132075 =/= 0.2581135335
     nke(0,1,0,0,1,0,0,1,0,1,0,1,0) =        -87 /       1343 == -0.0647803425 =/= -0.0647802002
     nkd(0,1,0,1,0,0,1,0,0,1,0,1,0) =        241 /        908 == 0.2654185022 =/= 0.2654184307
     nkd(0,1,0,1,0,1,0,1,0,0,0,0,1) =        108 /       1495 == 0.0722408027 =/= 0.0722409950
     nkd(0,1,0,1,0,0,0,0,0,1,0,1,0) =        199 /        820 == 0.2426829268 =/= 0.2426827049
     nkd(0,1,0,1,0,1,0,1,0,0,0,0,0) =        132 /       1415 == 0.0932862191 =/= 0.0932858518
     nke(0,1,0,0,1,0,0,1,0,1,0,0,0) =         69 /       1361 == 0.0506980162 =/= 0.0506981100
     nke(0,1,0,0,1,0,1,1,0,0,1,1,0) =         99 /       1471 == 0.0673011557 =/= 0.0673012042
     nke(0,1,0,0,1,0,0,1,0,0,1,1,0) =        -87 /       1343 == -0.0647803425 =/= -0.0647802002
     nke(0,1,0,0,1,0,1,1,0,0,0,1,0) =         99 /       1471 == 0.0673011557 =/= 0.0673012042
     nkd(0,1,0,1,0,1,0,0,0,0,0,1,0) =        342 /       1325 == 0.2581132075 =/= 0.2581135335
     nke(0,1,0,0,1,0,0,1,0,0,0,1,0) =        -87 /       1343 == -0.0647803425 =/= -0.0647802002
     nkd(0,1,0,1,0,0,1,1,0,1,1,0,1) =        124 /        991 == 0.1251261352 =/= 0.1251258919
     nkd(0,1,0,1,0,0,1,1,1,1,0,0,1) =        218 /       1291 == 0.1688613478 =/= 0.1688613672
     nke(0,1,0,0,1,1,0,0,1,1,1,0,1) =        138 /       1489 == 0.0926796508 =/= 0.0926794075
     nkd(0,1,0,1,0,0,1,1,1,1,0,0,0) =        257 /        938 == 0.2739872068 =/= 0.2739872591
     nke(0,1,0,0,1,1,0,0,1,1,1,0,0) =        -57 /       1055 == -0.0540284360 =/= -0.0540286736
     nke(0,1,0,0,1,1,0,0,0,1,1,0,1) =         67 /       1239 == 0.0540758676 =/= 0.0540757594
     nke(0,1,0,0,1,1,0,0,0,1,0,0,1) =         67 /       1239 == 0.0540758676 =/= 0.0540757594
     nke(0,1,0,0,1,1,0,0,1,1,0,0,0) =        -57 /       1055 == -0.0540284360 =/= -0.0540286736
     nke(0,1,0,0,0,1,1,1,1,1,1,_,_) =       -122 /       1255 == -0.0972111554 =/= -0.0972109893
     nkd(0,0,0,1,0,1,0,1,1,1,1,1,1) =        130 /       1477 == 0.0880162492 =/= 0.0880163284
     nkd(0,0,0,1,0,0,1,1,1,1,1,1,1) =        130 /       1477 == 0.0880162492 =/= 0.0880163284
     nkd(0,0,0,1,0,0,0,1,1,1,1,1,1) =        130 /       1477 == 0.0880162492 =/= 0.0880163284
     nke(0,1,0,0,0,1,1,1,1,1,0,1,1) =        -29 /       1107 == -0.0261969286 =/= -0.0261968636
     nkd(0,0,0,1,0,1,0,1,0,1,1,1,1) =        335 /       1361 == 0.2461425422 =/= 0.2461426555
     nkd(0,1,0,0,0,1,1,1,1,1,0,1,0) =         61 /       1001 == 0.0609390609 =/= 0.0609390786
     nkd(0,0,0,1,0,0,1,1,0,1,1,1,1) =        406 /       1089 == 0.3728191001 =/= 0.3728188185
     nke(0,0,0,0,1,1,0,1,1,1,1,0,1) =        -19 /        804 == -0.0236318408 =/= -0.0236315435
     nke(0,0,0,0,1,1,0,1,1,1,1,0,0) =        -10 /       1303 == -0.0076745971 =/= -0.0076741978
     nkd(0,0,0,1,0,1,1,0,1,1,1,1,1) =        423 /        934 == 0.4528907923 =/= 0.4528907002
     nke(0,0,0,0,1,0,1,1,1,1,1,1,1) =       -125 /       1009 == -0.1238850347 =/= -0.1238854377
     nkd(0,0,0,1,0,0,1,0,1,1,1,1,1) =        406 /       1089 == 0.3728191001 =/= 0.3728188185
     nke(0,0,0,0,1,0,1,1,1,1,1,0,1) =       -157 /        781 == -0.2010243278 =/= -0.2010245453
     nkd(0,1,0,0,0,1,1,1,1,0,1,0,0) =        285 /       1402 == 0.2032810271 =/= 0.2032812356
     nke(0,0,0,0,1,0,0,1,1,1,1,1,1) =        -23 /       1363 == -0.0168745415 =/= -0.0168746620
     nkd(0,0,0,1,0,1,0,0,0,1,1,1,1) =        320 /        973 == 0.3288797533 =/= 0.3288800960
     nke(0,0,0,0,1,0,0,1,1,1,1,1,0) =        -17 /        911 == -0.0186608123 =/= -0.0186606260
     nkd(0,0,0,1,0,0,1,0,0,1,1,1,1) =        406 /       1089 == 0.3728191001 =/= 0.3728188185
     nkd(0,1,0,0,0,1,1,1,1,0,0,0,1) =         47 /        887 == 0.0529875986 =/= 0.0529875097
     nkd(0,1,0,0,0,1,1,1,1,0,0,0,0) =         47 /        887 == 0.0529875986 =/= 0.0529875097
     nke(0,0,0,0,1,0,0,1,1,1,1,0,0) =        -17 /        911 == -0.0186608123 =/= -0.0186606260
     nkd(0,1,0,0,0,1,1,1,0,1,1,1,1) =        -93 /       1391 == -0.0668583753 =/= -0.0668585711
     nke(0,1,0,0,0,1,0,0,1,1,1,1,1) =        -11 /        949 == -0.0115911486 =/= -0.0115911579
     nkd(0,0,0,1,0,0,0,1,1,1,0,1,1) =        548 /       1269 == 0.4318360914 =/= 0.4318362152
     nke(0,0,0,0,1,1,1,1,1,1,0,0,0) =        -36 /        797 == -0.0451693852 =/= -0.0451695485
     nke(0,1,0,0,0,1,0,1,1,1,0,1,1) =        -29 /       1107 == -0.0261969286 =/= -0.0261968636
     nkd(0,0,0,1,0,0,1,1,0,1,0,1,1) =        531 /       1214 == 0.4373970346 =/= 0.4373974861
     nke(0,0,0,0,1,1,0,1,1,1,0,0,1) =        -19 /        804 == -0.0236318408 =/= -0.0236315435
     nkd(0,0,0,1,0,0,0,1,0,1,0,1,1) =        430 /        993 == 0.4330312185 =/= 0.4330312982
     nke(0,0,0,0,1,1,0,1,1,1,0,0,0) =        -10 /       1303 == -0.0076745971 =/= -0.0076741978
     nkd(0,0,0,1,0,1,1,0,1,1,0,1,1) =        423 /        934 == 0.4528907923 =/= 0.4528907002
     nke(0,0,0,0,1,0,1,1,1,1,0,1,1) =       -125 /       1009 == -0.1238850347 =/= -0.1238854377
     nkd(0,0,0,1,0,1,0,0,1,1,0,1,1) =        355 /       1362 == 0.2606461087 =/= 0.2606462760
     nkd(0,0,0,1,0,0,1,0,1,1,0,1,1) =        531 /       1214 == 0.4373970346 =/= 0.4373974861
     nke(0,0,0,0,1,0,1,1,1,1,0,0,1) =       -157 /        781 == -0.2010243278 =/= -0.2010245453
     nke(0,1,0,0,0,1,0,0,1,0,1,1,1) =        -11 /        949 == -0.0115911486 =/= -0.0115911579
     nke(0,0,0,0,1,0,0,1,1,1,0,1,1) =        -23 /       1363 == -0.0168745415 =/= -0.0168746620
     nkd(0,0,0,1,0,1,0,0,0,1,0,1,1) =        563 /       1389 == 0.4053275738 =/= 0.4053272926
     nke(0,0,0,0,1,0,0,1,1,1,0,1,0) =        -17 /        911 == -0.0186608123 =/= -0.0186606260
     nkd(0,0,0,1,0,0,1,0,0,1,0,1,1) =        531 /       1214 == 0.4373970346 =/= 0.4373974861
     nke(0,1,0,0,0,1,0,0,1,0,0,1,1) =        -11 /        949 == -0.0115911486 =/= -0.0115911579
     nkd(0,0,0,1,0,0,0,0,0,1,0,1,1) =        430 /        993 == 0.4330312185 =/= 0.4330312982
     nke(0,0,0,0,1,0,0,1,1,1,0,0,0) =        -17 /        911 == -0.0186608123 =/= -0.0186606260
     nke(0,1,0,0,0,1,0,0,0,0,0,1,1) =        -21 /        758 == -0.0277044855 =/= -0.0277040056
     nkd(0,0,0,1,0,1,0,1,1,0,1,1,1) =        221 /        807 == 0.2738537794 =/= 0.2738537834
     nkd(0,0,0,1,0,1,0,1,0,0,1,1,1) =        283 /       1032 == 0.2742248062 =/= 0.2742246666
     nkd(0,0,0,1,0,1,1,0,1,0,1,1,1) =        423 /        934 == 0.4528907923 =/= 0.4528907002
     nke(0,0,0,0,1,0,1,1,1,0,1,1,1) =       -125 /       1009 == -0.1238850347 =/= -0.1238854377
     nkd(0,1,0,0,0,1,1,0,1,0,1,1,0) =        383 /       1271 == 0.3013375295 =/= 0.3013376594
     nke(0,1,0,0,0,0,1,1,0,0,1,1,1) =       -135 /       1412 == -0.0956090652 =/= -0.0956092800
     nkd(0,1,0,0,0,1,1,0,1,0,0,1,1) =         23 /       1363 == 0.0168745415 =/= 0.0168746620
     nke(0,0,0,0,1,0,0,1,1,0,1,1,1) =        -23 /       1363 == -0.0168745415 =/= -0.0168746620
     nkd(0,0,0,1,0,1,0,0,0,0,1,1,1) =        458 /       1267 == 0.3614838200 =/= 0.3614837969
     nkd(0,1,0,0,0,1,1,0,1,0,0,1,0) =         51 /       1232 == 0.0413961039 =/= 0.0413963518
     nke(0,0,0,0,1,0,0,1,1,0,1,1,0) =        -17 /        911 == -0.0186608123 =/= -0.0186606260
     nke(0,1,0,0,0,0,1,1,0,0,0,1,1) =          3 /       1226 == 0.0024469821 =/= 0.0024471439
     nke(0,1,0,0,0,0,0,1,1,1,1,1,1) =        -29 /       1426 == -0.0203366059 =/= -0.0203363273
     nkd(0,1,0,0,0,1,1,0,0,1,1,1,0) =         87 /       1298 == 0.0670261941 =/= 0.0670258115
     nkd(0,1,0,0,0,1,1,0,0,1,0,1,1) =         -8 /       1365 == -0.0058608059 =/= -0.0058605363
     nke(0,1,0,0,0,0,0,1,1,1,0,1,1) =        -29 /       1426 == -0.0203366059 =/= -0.0203363273
     nkd(0,0,0,1,0,1,0,1,0,0,0,1,1) =        303 /       1012 == 0.2994071146 =/= 0.2994075364
     nke(0,1,0,0,0,0,0,1,0,1,0,1,1) =         10 /       1303 == 0.0076745971 =/= 0.0076741978
     nkd(0,0,0,1,0,1,1,0,1,0,0,1,1) =        423 /        934 == 0.4528907923 =/= 0.4528907002
     nkd(0,1,0,0,0,1,1,0,0,0,1,1,1) =         67 /        859 == 0.0779976717 =/= 0.0779977314
     nke(0,0,0,0,1,0,1,1,1,0,0,1,1) =       -125 /       1009 == -0.1238850347 =/= -0.1238854377
     nke(0,1,0,0,0,0,0,1,1,0,1,1,1) =        -29 /       1426 == -0.0203366059 =/= -0.0203363273
     nkd(0,0,0,1,0,1,0,0,1,0,0,1,1) =        234 /        967 == 0.2419855222 =/= 0.2419856500
     nkd(0,1,0,0,0,1,1,0,0,0,1,1,0) =        218 /       1363 == 0.1599413059 =/= 0.1599413076
     nke(0,0,0,0,1,0,0,1,1,0,0,1,1) =        -23 /       1363 == -0.0168745415 =/= -0.0168746620
     nke(0,1,0,0,0,0,0,1,1,0,0,1,1) =        -29 /       1426 == -0.0203366059 =/= -0.0203363273
     nke(0,0,0,0,1,0,0,1,1,0,0,1,0) =        -17 /        911 == -0.0186608123 =/= -0.0186606260
     nke(0,1,0,0,0,0,0,1,0,0,0,1,1) =         17 /        911 == 0.0186608123 =/= 0.0186606260
     nke(0,0,0,0,1,1,1,1,0,1,1,1,1) =         37 /       1219 == 0.0303527482 =/= 0.0303524183
     nkd(0,0,0,1,0,1,0,1,1,1,1,1,0) =        193 /        800 == 0.2412500000 =/= 0.2412500824
     nke(0,0,0,0,1,1,1,1,0,1,1,0,1) =        -38 /       1481 == -0.0256583390 =/= -0.0256582123
     nkd(0,1,0,0,0,1,0,1,1,1,0,1,1) =        -37 /        944 == -0.0391949153 =/= -0.0391945291
     nkd(0,0,0,1,0,1,0,1,0,1,1,1,0) =        335 /       1361 == 0.2461425422 =/= 0.2461426555
     nkd(0,1,0,0,0,1,0,1,1,1,0,1,0) =        -37 /        944 == -0.0391949153 =/= -0.0391945291
     nke(0,1,0,0,0,1,1,1,0,1,0,1,0) =        128 /       1499 == 0.0853902602 =/= 0.0853899418
     nkd(0,0,0,1,0,0,1,1,0,1,1,1,0) =        406 /       1089 == 0.3728191001 =/= 0.3728188185
     nkd(0,1,0,0,0,1,0,1,1,1,0,0,1) =        -37 /        944 == -0.0391949153 =/= -0.0391945291
     nkd(0,1,0,0,0,1,0,1,1,1,0,0,0) =        -37 /        944 == -0.0391949153 =/= -0.0391945291
     nke(0,0,0,0,1,1,0,1,0,1,1,0,0) =         11 /        949 == 0.0115911486 =/= 0.0115911579
     nkd(0,0,0,1,0,1,1,0,1,1,1,1,0) =        423 /        934 == 0.4528907923 =/= 0.4528907002
     nkd(0,0,0,1,0,0,1,0,1,1,1,1,0) =        406 /       1089 == 0.3728191001 =/= 0.3728188185
     nkd(0,0,0,1,0,1,0,0,0,1,1,1,0) =        320 /        973 == 0.3288797533 =/= 0.3288800960
     nkd(0,0,0,1,0,0,1,0,0,1,1,1,0) =        406 /       1089 == 0.3728191001 =/= 0.3728188185
     nkd(0,1,0,0,0,1,0,1,1,0,0,0,1) =        -22 /        797 == -0.0276035132 =/= -0.0276033712
     nkd(0,1,0,0,0,1,0,1,1,0,0,0,0) =        -22 /        797 == -0.0276035132 =/= -0.0276033712
     nke(0,1,0,0,0,1,0,1,1,1,1,1,0) =        -61 /        950 == -0.0642105263 =/= -0.0642101584
     nke(0,0,0,0,1,1,1,1,0,1,0,1,0) =         61 /       1099 == 0.0555050045 =/= 0.0555049526
     nke(0,1,0,0,0,1,0,1,0,1,1,1,0) =         16 /        993 == 0.0161127895 =/= 0.0161128477
     nkd(0,1,0,0,0,1,0,1,0,1,1,0,1) =        -23 /        818 == -0.0281173594 =/= -0.0281177541
     nke(0,0,0,0,1,1,1,1,0,1,0,0,1) =        -38 /       1481 == -0.0256583390 =/= -0.0256582123
     nkd(0,0,0,1,0,0,0,1,1,1,0,1,0) =        548 /       1269 == 0.4318360914 =/= 0.4318362152
     nke(0,0,0,0,1,1,1,1,0,1,0,0,0) =        -56 /       1317 == -0.0425208808 =/= -0.0425211359
     nke(0,1,0,0,0,1,0,1,1,1,0,1,0) =          1 /       1108 == 0.0009025271 =/= 0.0009024123
     nke(0,1,0,0,0,1,0,1,0,1,0,1,0) =         16 /        993 == 0.0161127895 =/= 0.0161128477
     nkd(0,0,0,1,0,0,1,1,0,1,0,1,0) =        531 /       1214 == 0.4373970346 =/= 0.4373974861
     nkd(0,0,0,1,0,0,0,1,0,1,0,1,0) =        430 /        993 == 0.4330312185 =/= 0.4330312982
     nke(0,0,0,0,1,1,0,1,0,1,0,0,0) =         11 /        949 == 0.0115911486 =/= 0.0115911579
     nke(0,1,0,0,0,1,0,0,0,1,0,1,0) =        -16 /        993 == -0.0161127895 =/= -0.0161128477
     nkd(0,0,0,1,0,1,1,0,1,1,0,1,0) =        423 /        934 == 0.4528907923 =/= 0.4528907002
     nkd(0,1,0,0,0,1,0,1,0,0,1,1,0) =         71 /       1131 == 0.0627763042 =/= 0.0627758214
     nke(0,1,0,0,0,1,0,1,0,0,1,1,0) =         16 /        993 == 0.0161127895 =/= 0.0161128477
     nkd(0,0,0,1,0,0,1,0,1,1,0,1,0) =        531 /       1214 == 0.4373970346 =/= 0.4373974861
     nkd(0,1,0,0,0,1,0,1,0,0,1,0,1) =         71 /       1131 == 0.0627763042 =/= 0.0627758214
     nkd(0,1,0,0,0,1,0,1,0,0,1,0,0) =         39 /       1112 == 0.0350719424 =/= 0.0350718158
     nke(0,0,0,0,1,0,1,1,0,1,0,0,0) =         11 /        949 == 0.0115911486 =/= 0.0115911579
     nkd(0,0,0,1,0,1,0,0,0,1,0,1,0) =        563 /       1389 == 0.4053275738 =/= 0.4053272926
     nkd(0,1,0,0,0,1,0,1,0,0,0,1,0) =        -17 /        911 == -0.0186608123 =/= -0.0186606260
     nkd(0,1,0,0,0,1,0,1,0,0,0,0,1) =        -17 /        911 == -0.0186608123 =/= -0.0186606260
     nkd(0,0,0,1,0,0,0,0,0,1,0,1,0) =        430 /        993 == 0.4330312185 =/= 0.4330312982
     nkd(0,1,0,0,0,1,0,1,0,0,0,0,0) =        -44 /        949 == -0.0463645943 =/= -0.0463646316
     nkd(0,1,0,0,0,1,0,0,1,1,1,1,1) =        -81 /       1244 == -0.0651125402 =/= -0.0651125707
     nkd(0,0,0,1,0,1,0,1,1,0,1,1,0) =        221 /        807 == 0.2738537794 =/= 0.2738537834
     nke(0,0,0,0,1,1,1,1,0,0,1,1,0) =         65 /       1342 == 0.0484351714 =/= 0.0484354845
     nkd(0,1,0,0,0,1,0,0,1,1,0,1,1) =        -37 /        944 == -0.0391949153 =/= -0.0391945291
     nkd(0,0,0,1,0,1,0,1,0,0,1,1,0) =        283 /       1032 == 0.2742248062 =/= 0.2742246666
     nkd(0,1,0,0,0,1,0,0,1,1,0,1,0) =        -37 /        944 == -0.0391949153 =/= -0.0391945291
     nkd(0,0,0,1,0,1,1,0,1,0,1,1,0) =        423 /        934 == 0.4528907923 =/= 0.4528907002
     nkd(0,0,0,1,0,1,0,0,0,0,1,1,0) =        458 /       1267 == 0.3614838200 =/= 0.3614837969
     nkd(0,1,0,0,0,1,0,0,1,0,0,1,0) =        -37 /        944 == -0.0391949153 =/= -0.0391945291
     nke(0,1,0,0,0,0,0,1,1,1,1,1,0) =        -47 /       1148 == -0.0409407666 =/= -0.0409405294
     nkd(0,0,0,1,0,1,0,1,1,0,0,1,0) =        332 /       1155 == 0.2874458874 =/= 0.2874454952
     nkd(0,1,0,0,0,1,0,0,0,1,1,1,0) =         37 /        944 == 0.0391949153 =/= 0.0391945291
     nke(0,1,0,0,0,0,0,1,1,1,0,1,0) =        -47 /       1148 == -0.0409407666 =/= -0.0409405294
     nkd(0,0,0,1,0,1,1,0,1,0,0,1,0) =        423 /        934 == 0.4528907923 =/= 0.4528907002
     nkd(0,1,0,0,0,1,0,0,0,0,1,1,1) =          9 /        812 == 0.0110837438 =/= 0.0110840291
     nke(0,1,0,0,0,0,0,1,1,0,1,1,0) =        -47 /       1148 == -0.0409407666 =/= -0.0409405294
     nkd(0,0,0,1,0,1,0,0,1,0,0,1,0) =        234 /        967 == 0.2419855222 =/= 0.2419856500
     nke(0,1,0,0,0,0,0,1,1,0,0,1,0) =        -47 /       1148 == -0.0409407666 =/= -0.0409405294
     nkd(0,0,0,1,0,1,0,1,1,1,1,0,1) =        193 /        800 == 0.2412500000 =/= 0.2412500824
     nke(0,0,0,0,1,1,1,0,1,1,1,1,0) =        -21 /       1081 == -0.0194264570 =/= -0.0194261333
     nkd(0,1,0,0,0,0,1,1,1,1,1,0,1) =        103 /       1213 == 0.0849134378 =/= 0.0849134122
     nke(0,0,0,0,1,1,1,0,1,1,1,0,1) =       -109 /       1037 == -0.1051108968 =/= -0.1051109880
     nkd(0,0,0,1,0,0,0,1,1,1,1,0,1) =        389 /       1116 == 0.3485663082 =/= 0.3485665862
     nkd(0,1,0,0,0,0,1,1,1,1,0,1,1) =         52 /       1033 == 0.0503388190 =/= 0.0503390971
     nke(0,0,0,0,1,1,0,0,1,1,1,1,1) =        -52 /       1033 == -0.0503388190 =/= -0.0503390971
     nkd(0,0,0,1,0,1,0,1,0,1,1,0,1) =        335 /       1361 == 0.2461425422 =/= 0.2461426555
     nkd(0,1,0,0,0,0,1,1,1,1,0,1,0) =         52 /       1033 == 0.0503388190 =/= 0.0503390971
     nke(0,0,0,0,1,1,0,0,1,1,1,1,0) =         76 /       1139 == 0.0667251975 =/= 0.0667252272
     nkd(0,0,0,1,0,0,1,1,0,1,1,0,1) =        406 /       1089 == 0.3728191001 =/= 0.3728188185
     nkd(0,1,0,0,0,0,1,1,1,1,0,0,1) =         52 /       1033 == 0.0503388190 =/= 0.0503390971
     nke(0,0,0,0,1,1,0,0,1,1,1,0,1) =        -52 /       1425 == -0.0364912281 =/= -0.0364912489
     nkd(0,1,0,0,0,0,1,1,1,1,0,0,0) =         52 /       1033 == 0.0503388190 =/= 0.0503390971
     nke(0,1,0,0,0,1,0,1,1,1,1,0,1) =        -93 /       1346 == -0.0690936107 =/= -0.0690932352
     nke(0,0,0,0,1,1,1,0,1,1,0,1,0) =        -21 /       1081 == -0.0194264570 =/= -0.0194261333
     nke(0,0,0,0,1,1,1,0,1,1,0,0,1) =       -109 /       1037 == -0.1051108968 =/= -0.1051109880
     nkd(0,0,0,1,0,0,0,1,1,1,0,0,1) =        548 /       1269 == 0.4318360914 =/= 0.4318362152
     nke(0,0,0,0,1,1,1,0,1,1,0,0,0) =       -127 /       1316 == -0.0965045593 =/= -0.0965045701
     nkd(0,1,0,0,0,0,1,1,0,1,0,1,1) =        -45 /       1466 == -0.0306957708 =/= -0.0306958678
     nke(0,0,0,0,1,1,0,0,1,1,0,1,1) =        -52 /       1033 == -0.0503388190 =/= -0.0503390971
     nke(0,1,0,0,0,1,0,1,1,1,0,0,1) =         23 /       1325 == 0.0173584906 =/= 0.0173587096
     nkd(0,1,0,0,0,0,1,1,0,1,0,1,0) =        -45 /       1466 == -0.0306957708 =/= -0.0306958678
     nke(0,0,0,0,1,1,0,0,1,1,0,1,0) =         76 /       1139 == 0.0667251975 =/= 0.0667252272
     nke(0,1,0,0,0,1,0,1,0,1,0,0,1) =         26 /        927 == 0.0280474649 =/= 0.0280474551
     nkd(0,0,0,1,0,0,1,1,0,1,0,0,1) =        531 /       1214 == 0.4373970346 =/= 0.4373974861
     nkd(0,1,0,0,0,0,1,1,0,1,0,0,1) =        -45 /       1466 == -0.0306957708 =/= -0.0306958678
     nke(0,0,0,0,1,1,0,0,1,1,0,0,1) =        -52 /       1425 == -0.0364912281 =/= -0.0364912489
     nkd(0,0,0,1,0,0,0,1,0,1,0,0,1) =        430 /        993 == 0.4330312185 =/= 0.4330312982
     nkd(0,1,0,0,0,0,1,1,0,1,0,0,0) =        -45 /       1466 == -0.0306957708 =/= -0.0306958678
     nke(0,0,0,0,1,1,1,0,1,0,1,1,1) =       -204 /        883 == -0.2310305776 =/= -0.2310306124
     nkd(0,0,0,1,0,1,0,1,1,0,1,0,1) =        221 /        807 == 0.2738537794 =/= 0.2738537834
     nkd(0,1,0,0,0,0,1,0,1,1,1,1,0) =        193 /       1487 == 0.1297915266 =/= 0.1297918727
     nke(0,0,0,0,1,1,1,0,1,0,1,1,0) =        -21 /       1081 == -0.0194264570 =/= -0.0194261333
     nke(0,1,0,0,0,0,1,1,0,1,1,0,1) =          3 /       1226 == 0.0024469821 =/= 0.0024471439
     nkd(0,1,0,0,0,0,1,0,1,1,0,1,1) =        190 /       1303 == 0.1458173446 =/= 0.1458174072
     nke(0,0,0,0,1,1,0,0,1,0,1,1,1) =       -190 /       1303 == -0.1458173446 =/= -0.1458174072
     nkd(0,0,0,1,0,1,0,1,0,0,1,0,1) =        257 /       1497 == 0.1716766867 =/= 0.1716768884
     nkd(0,1,0,0,0,0,1,0,1,1,0,1,0) =        190 /       1303 == 0.1458173446 =/= 0.1458174072
     nke(0,0,0,0,1,1,0,0,1,0,1,1,0) =         76 /       1139 == 0.0667251975 =/= 0.0667252272
     nke(0,1,0,0,0,0,1,1,0,1,0,0,1) =          3 /       1226 == 0.0024469821 =/= 0.0024471439
     nke(0,1,0,0,0,0,0,1,1,1,1,0,1) =        -16 /        901 == -0.0177580466 =/= -0.0177582136
     nkd(0,1,0,0,0,0,1,0,0,1,1,1,0) =         67 /        775 == 0.0864516129 =/= 0.0864519448
     nke(0,0,0,0,1,1,1,0,1,0,0,1,0) =        -21 /       1081 == -0.0194264570 =/= -0.0194261333
     nkd(0,1,0,0,0,0,1,0,0,1,0,1,1) =          5 /       1131 == 0.0044208665 =/= 0.0044210554
     nke(0,0,0,0,1,1,0,0,1,0,0,1,1) =        -52 /       1033 == -0.0503388190 =/= -0.0503390971
     nke(0,1,0,0,0,0,0,1,1,1,0,0,1) =        -16 /        901 == -0.0177580466 =/= -0.0177582136
     nkd(0,0,0,1,0,1,0,1,0,0,0,0,1) =        303 /       1012 == 0.2994071146 =/= 0.2994075364
     nkd(0,1,0,0,0,0,1,0,0,1,0,1,0) =          5 /       1131 == 0.0044208665 =/= 0.0044210554
     nke(0,0,0,0,1,1,0,0,1,0,0,1,0) =         76 /       1139 == 0.0667251975 =/= 0.0667252272
     nke(0,1,0,0,0,0,0,1,0,1,0,0,1) =         16 /        993 == 0.0161127895 =/= 0.0161128477
     nkd(0,0,0,1,0,1,0,1,1,1,1,0,0) =        193 /        800 == 0.2412500000 =/= 0.2412500824
     nke(0,0,0,0,1,1,1,0,0,1,1,1,0) =         82 /        957 == 0.0856844305 =/= 0.0856848547
     nke(0,1,0,0,0,1,1,1,0,1,1,0,0) =         32 /        865 == 0.0369942197 =/= 0.0369944209
     nke(0,1,0,0,0,1,1,0,1,1,1,0,0) =          2 /       1029 == 0.0019436346 =/= 0.0019435761
     nke(0,1,0,0,0,1,1,0,0,1,1,0,0) =          2 /       1029 == 0.0019436346 =/= 0.0019435761
     nkd(0,0,0,1,0,1,0,1,0,1,1,0,0) =        335 /       1361 == 0.2461425422 =/= 0.2461426555
     nkd(0,1,0,0,0,0,0,1,1,1,0,1,0) =         94 /       1371 == 0.0685630926 =/= 0.0685626294
     nkd(0,0,0,1,0,0,1,1,0,1,1,0,0) =        406 /       1089 == 0.3728191001 =/= 0.3728188185
     nke(0,0,0,0,1,1,0,0,0,1,1,0,1) =       -138 /       1337 == -0.1032161556 =/= -0.1032164761
     nke(0,1,0,0,0,1,1,0,1,1,0,0,0) =          2 /       1029 == 0.0019436346 =/= 0.0019435761
     nke(0,0,0,0,1,1,0,0,0,1,1,0,0) =        -81 /        979 == -0.0827374872 =/= -0.0827374405
     nke(0,1,0,0,0,1,1,0,0,1,0,0,0) =          2 /       1029 == 0.0019436346 =/= 0.0019435761
     nkd(0,1,0,0,0,0,0,1,0,1,1,1,1) =       -173 /       1408 == -0.1228693182 =/= -0.1228692017
     nkd(0,1,0,0,0,0,0,1,0,1,1,1,0) =        -23 /       1376 == -0.0167151163 =/= -0.0167154671
     nke(0,0,0,0,1,1,1,0,0,1,0,1,0) =         82 /        957 == 0.0856844305 =/= 0.0856848547
     nkd(0,1,0,0,0,0,0,1,0,1,1,0,1) =        -23 /       1376 == -0.0167151163 =/= -0.0167154671
     nkd(0,0,0,1,0,0,0,1,1,1,0,0,0) =        548 /       1269 == 0.4318360914 =/= 0.4318362152
     nkd(0,1,0,0,0,0,0,1,0,1,1,0,0) =        -23 /       1376 == -0.0167151163 =/= -0.0167154671
     nkd(0,1,0,0,0,0,0,1,0,1,0,1,0) =         94 /       1467 == 0.0640763463 =/= 0.0640768145
     nkd(0,0,0,1,0,0,1,1,0,1,0,0,0) =        531 /       1214 == 0.4373970346 =/= 0.4373974861
     nkd(0,1,0,0,0,0,0,1,0,1,0,0,1) =         94 /       1467 == 0.0640763463 =/= 0.0640768145
     nke(0,0,0,0,1,1,0,0,0,1,0,0,1) =       -138 /       1337 == -0.1032161556 =/= -0.1032164761
     nke(0,1,0,0,0,1,0,0,1,1,0,0,0) =        -11 /        949 == -0.0115911486 =/= -0.0115911579
     nkd(0,0,0,1,0,0,0,1,0,1,0,0,0) =        430 /        993 == 0.4330312185 =/= 0.4330312982
     nke(0,0,0,0,1,1,0,0,0,1,0,0,0) =        -81 /        979 == -0.0827374872 =/= -0.0827374405
     nkd(0,1,0,0,0,0,0,0,1,1,1,1,1) =       -221 /       1485 == -0.1488215488 =/= -0.1488215355
     nkd(0,0,0,1,0,1,0,1,1,0,1,0,0) =        221 /        807 == 0.2738537794 =/= 0.2738537834
     nkd(0,1,0,0,0,0,0,0,1,1,1,1,0) =        -68 /       1047 == -0.0649474690 =/= -0.0649477044
     nke(0,0,0,0,1,1,1,0,0,0,1,1,0) =         82 /        957 == 0.0856844305 =/= 0.0856848547
     nke(0,1,0,0,0,0,1,1,0,1,1,0,0) =        122 /       1325 == 0.0920754717 =/= 0.0920757330
     nkd(0,1,0,0,0,0,0,0,1,1,0,1,1) =         29 /       1057 == 0.0274361400 =/= 0.0274357351
     nkd(0,0,0,1,0,1,0,1,0,0,1,0,0) =        283 /       1032 == 0.2742248062 =/= 0.2742246666
     nkd(0,1,0,0,0,0,0,0,1,1,0,1,0) =         29 /       1057 == 0.0274361400 =/= 0.0274357351
     nke(0,1,0,0,0,0,1,1,0,1,0,0,0) =         72 /        847 == 0.0850059032 =/= 0.0850062649
     nke(0,1,0,0,0,0,0,1,1,1,1,0,0) =        -47 /       1148 == -0.0409407666 =/= -0.0409405294
     nke(0,0,0,0,1,1,1,0,0,0,0,1,0) =         82 /        957 == 0.0856844305 =/= 0.0856848547
     nke(0,1,0,0,0,0,0,1,1,1,0,0,0) =        -47 /       1148 == -0.0409407666 =/= -0.0409405294
     nke(0,0,1,1,0,1,1,1,1,_,_,_,_) =        375 /       1462 == 0.2564979480 =/= 0.2564983711
     nkd(0,0,1,0,1,1,1,1,0,1,1,_,_) =         13 /       1238 == 0.0105008078 =/= 0.0105006661
     nke(0,0,1,1,0,1,0,1,1,1,1,_,_) =        151 /       1319 == 0.1144806672 =/= 0.1144808030
     nke(0,0,1,1,0,0,0,1,1,1,1,1,1) =        -72 /       1351 == -0.0532938564 =/= -0.0532935016
     nkd(0,0,1,0,1,1,0,0,1,1,1,1,1) =       -107 /       1400 == -0.0764285714 =/= -0.0764283359
     nke(0,0,1,1,0,0,0,1,1,1,1,1,0) =        -79 /       1135 == -0.0696035242 =/= -0.0696039251
     nkd(0,0,1,0,1,0,1,1,1,1,1,_,_) =        236 /        863 == 0.2734646582 =/= 0.2734643031
     nke(0,0,1,1,0,1,1,0,1,1,1,_,_) =        127 /       1295 == 0.0980694981 =/= 0.0980697451
     nke(0,0,1,1,0,1,1,0,1,0,1,1,1) =       -107 /       1400 == -0.0764285714 =/= -0.0764283359
     nke(0,0,1,1,0,0,0,1,1,1,1,0,1) =        -87 /       1009 == -0.0862239841 =/= -0.0862240336
     nkd(0,0,1,0,1,0,0,0,1,1,1,1,1) =       -107 /       1400 == -0.0764285714 =/= -0.0764283359
     nkd(0,0,1,0,1,0,0,0,0,1,1,1,1) =        242 /       1457 == 0.1660947152 =/= 0.1660950421
     nkd(0,0,1,0,1,1,0,1,1,1,0,1,1) =        -61 /        787 == -0.0775095299 =/= -0.0775091995
     nke(0,0,1,1,0,1,0,0,0,1,1,1,1) =         -4 /       1257 == -0.0031821798 =/= -0.0031823158
     nke(0,0,1,1,0,1,0,1,1,1,0,1,1) =       -161 /        947 == -0.1700105597 =/= -0.1700105514
     nkd(0,0,1,0,1,0,1,1,0,1,0,1,1) =        111 /       1132 == 0.0980565371 =/= 0.0980564239
     nke(0,0,1,1,0,1,0,0,0,1,0,1,1) =         -4 /       1257 == -0.0031821798 =/= -0.0031823158
     nkd(0,0,1,0,1,1,1,1,0,0,1,1,1) =       -107 /       1400 == -0.0764285714 =/= -0.0764283359
     nkd(0,0,1,0,1,1,1,1,0,0,1,1,0) =        199 /       1261 == 0.1578112609 =/= 0.1578113665
     nkd(0,0,1,0,1,0,1,0,1,1,0,1,1) =        141 /       1349 == 0.1045218681 =/= 0.1045216898
     nkd(0,0,1,0,1,0,0,0,1,1,0,1,1) =        227 /       1371 == 0.1655725748 =/= 0.1655723499
     nkd(0,0,1,0,1,1,1,1,0,0,1,0,0) =        279 /       1244 == 0.2242765273 =/= 0.2242766325
     nke(0,0,1,1,0,1,0,0,0,0,1,1,1) =         -4 /       1257 == -0.0031821798 =/= -0.0031823158
     nkd(0,0,1,0,1,1,1,0,0,1,0,1,1) =        175 /       1196 == 0.1463210702 =/= 0.1463208431
     nkd(0,0,1,0,1,1,1,1,0,0,0,1,1) =        397 /       1352 == 0.2936390533 =/= 0.2936393252
     nke(0,0,1,1,0,0,0,1,1,1,0,1,1) =        -72 /       1351 == -0.0532938564 =/= -0.0532935016
     nkd(0,0,1,0,1,1,1,1,0,0,0,1,0) =        200 /       1411 == 0.1417434444 =/= 0.1417437582
     nke(0,0,1,1,0,0,0,1,1,1,0,1,0) =        -79 /       1135 == -0.0696035242 =/= -0.0696039251
     nkd(0,0,1,0,1,0,1,0,0,1,0,1,1) =        187 /       1119 == 0.1671134942 =/= 0.1671131247
     nkd(0,0,1,0,1,1,1,1,0,0,0,0,1) =        176 /       1457 == 0.1207961565 =/= 0.1207961065
     nke(0,0,1,1,0,0,0,1,1,1,0,0,1) =        -87 /       1009 == -0.0862239841 =/= -0.0862240336
     nkd(0,0,1,0,1,1,1,1,0,0,0,0,0) =        170 /        927 == 0.1833872708 =/= 0.1833875414
     nke(0,0,1,1,0,1,0,0,0,0,0,1,1) =         -4 /       1257 == -0.0031821798 =/= -0.0031823158
     nkd(0,0,1,0,1,0,1,1,1,0,1,1,1) =         -1 /        772 == -0.0012953368 =/= -0.0012957174
     nke(0,0,1,1,0,0,1,0,1,1,1,1,1) =          1 /        772 == 0.0012953368 =/= 0.0012957174
     nkd(0,0,1,0,1,1,1,0,1,1,0,1,0) =         17 /        800 == 0.0212500000 =/= 0.0212498186
     nkd(0,0,1,0,1,0,1,1,0,0,1,1,1) =        279 /       1244 == 0.2242765273 =/= 0.2242766325
     nke(0,0,1,1,0,0,1,0,1,1,0,1,1) =          1 /        772 == 0.0012953368 =/= 0.0012957174
     nkd(0,0,1,0,1,0,1,0,1,0,1,1,1) =        216 /       1121 == 0.1926851026 =/= 0.1926854746
     nke(0,0,1,1,0,0,1,0,1,0,1,1,1) =          1 /        772 == 0.0012953368 =/= 0.0012957174
     nkd(0,0,1,0,1,1,1,0,1,0,1,0,0) =        216 /       1121 == 0.1926851026 =/= 0.1926854746
     nkd(0,0,1,0,1,1,1,0,0,0,1,1,1) =        469 /       1348 == 0.3479228487 =/= 0.3479225524
     nke(0,0,1,1,0,0,0,1,1,0,1,1,1) =        -72 /       1351 == -0.0532938564 =/= -0.0532935016
     nke(0,0,1,1,0,0,1,1,1,0,0,1,1) =        126 /       1369 == 0.0920379839 =/= 0.0920376159
     nke(0,0,1,1,0,0,0,1,1,0,1,1,0) =        -79 /       1135 == -0.0696035242 =/= -0.0696039251
     nke(0,0,1,1,0,0,0,1,1,0,1,0,1) =        -87 /       1009 == -0.0862239841 =/= -0.0862240336
     nke(0,0,1,1,0,0,1,0,1,0,0,1,1) =          1 /        772 == 0.0012953368 =/= 0.0012957174
     nkd(0,0,1,0,1,1,1,0,1,0,0,0,0) =        184 /       1207 == 0.1524440762 =/= 0.1524442422
     nkd(0,0,1,0,1,1,1,0,0,1,1,0,1) =        -39 /       1187 == -0.0328559393 =/= -0.0328562761
     nke(0,0,1,1,0,0,0,0,1,1,1,1,1) =         67 /        802 == 0.0835411471 =/= 0.0835414606
     nkd(0,0,1,0,1,1,0,1,0,0,0,1,1) =        391 /       1419 == 0.2755461593 =/= 0.2755463670
     nke(0,0,1,1,0,0,0,0,1,1,0,1,1) =         67 /        802 == 0.0835411471 =/= 0.0835414606
     nkd(0,0,1,0,1,0,0,1,0,0,0,1,1) =        267 /       1235 == 0.2161943320 =/= 0.2161942257
     nkd(0,0,1,0,1,1,0,0,1,0,0,1,1) =        254 /       1033 == 0.2458857696 =/= 0.2458854641
     nke(0,0,1,1,0,0,0,0,1,0,1,1,1) =         67 /        802 == 0.0835411471 =/= 0.0835414606
     nkd(0,0,1,0,1,1,1,0,0,0,1,0,0) =        260 /       1363 == 0.1907556860 =/= 0.1907552197
     nkd(0,0,1,0,1,1,1,0,0,0,0,1,1) =        329 /       1334 == 0.2466266867 =/= 0.2466268350
     nke(0,0,1,1,0,0,0,1,1,0,0,1,1) =        -72 /       1351 == -0.0532938564 =/= -0.0532935016
     nkd(0,0,1,0,1,1,0,0,0,0,0,1,1) =        311 /        938 == 0.3315565032 =/= 0.3315569976
     nke(0,0,1,1,0,0,0,1,1,0,0,1,0) =        -79 /       1135 == -0.0696035242 =/= -0.0696039251
     nkd(0,0,1,0,1,0,1,0,0,0,0,1,1) =        283 /       1396 == 0.2027220630 =/= 0.2027224047
     nkd(0,0,1,0,1,1,1,0,0,0,0,0,1) =        187 /       1002 == 0.1866267465 =/= 0.1866268350
     nke(0,0,1,1,0,0,0,0,1,0,0,1,1) =         67 /        802 == 0.0835411471 =/= 0.0835414606
     nke(0,0,1,1,0,0,0,1,1,0,0,0,1) =        -87 /       1009 == -0.0862239841 =/= -0.0862240336
     nkd(0,0,1,0,1,1,0,1,1,1,0,1,0) =        -61 /        787 == -0.0775095299 =/= -0.0775091995
     nkd(0,0,1,0,1,1,0,1,1,1,0,0,1) =        -61 /        787 == -0.0775095299 =/= -0.0775091995
     nke(0,0,1,1,0,1,1,0,1,1,0,1,0) =        -76 /       1239 == -0.0613397902 =/= -0.0613393740
     nkd(0,0,1,0,1,1,0,1,1,1,0,0,0) =       -193 /       1390 == -0.1388489209 =/= -0.1388485736
     nkd(0,0,1,0,1,1,0,0,1,1,1,1,0) =        294 /       1219 == 0.2411812961 =/= 0.2411816299
     nkd(0,0,1,0,1,0,1,0,1,1,1,1,0) =        236 /        863 == 0.2734646582 =/= 0.2734643031
     nkd(0,0,1,0,1,0,0,0,1,1,1,1,0) =        237 /       1004 == 0.2360557769 =/= 0.2360557380
     nkd(0,0,1,0,1,1,0,0,0,1,1,1,0) =        269 /        823 == 0.3268529769 =/= 0.3268531635
     nkd(0,0,1,0,1,1,0,1,1,0,0,1,0) =        212 /       1317 == 0.1609719058 =/= 0.1609720519
     nke(0,0,1,1,0,0,0,1,0,1,1,1,0) =       -131 /       1295 == -0.1011583012 =/= -0.1011585486
     nkd(0,0,1,0,1,0,1,0,0,1,1,1,0) =        288 /        857 == 0.3360560093 =/= 0.3360557380
     nke(0,0,1,1,0,0,0,1,0,1,1,0,1) =       -121 /       1471 == -0.0822569680 =/= -0.0822566903
     nkd(0,0,1,0,1,0,0,0,0,1,1,1,0) =        349 /       1016 == 0.3435039370 =/= 0.3435036073
     nkd(0,0,1,0,1,0,1,1,1,1,0,1,0) =        141 /       1349 == 0.1045218681 =/= 0.1045216898
     nkd(0,0,1,0,1,1,0,1,0,1,1,0,1) =        137 /       1410 == 0.0971631206 =/= 0.0971635078
     nke(0,0,1,1,0,1,0,0,0,1,1,1,0) =         -4 /       1257 == -0.0031821798 =/= -0.0031823158
     nkd(0,0,1,0,1,0,1,1,0,1,0,1,0) =        -52 /        915 == -0.0568306011 =/= -0.0568310054
     nke(0,0,1,1,0,1,0,0,0,1,0,1,0) =         -4 /       1257 == -0.0031821798 =/= -0.0031823158
     nkd(0,0,1,0,1,1,0,1,0,0,1,1,0) =        199 /       1261 == 0.1578112609 =/= 0.1578113665
     nkd(0,0,1,0,1,0,1,0,1,1,0,1,0) =        141 /       1349 == 0.1045218681 =/= 0.1045216898
     nkd(0,0,1,0,1,1,0,1,0,0,1,0,1) =        137 /       1410 == 0.0971631206 =/= 0.0971635078
     nkd(0,0,1,0,1,0,0,0,1,1,0,1,0) =        227 /       1371 == 0.1655725748 =/= 0.1655723499
     nkd(0,0,1,0,1,1,0,1,0,0,1,0,0) =        279 /       1244 == 0.2242765273 =/= 0.2242766325
     nke(0,0,1,1,0,1,0,0,0,0,1,1,0) =         -4 /       1257 == -0.0031821798 =/= -0.0031823158
     nkd(0,0,1,0,1,1,0,1,0,0,0,1,0) =        196 /       1131 == 0.1732979664 =/= 0.1732983817
     nke(0,0,1,1,0,0,0,1,0,1,0,1,0) =       -131 /       1295 == -0.1011583012 =/= -0.1011585486
     nkd(0,0,1,0,1,0,1,0,0,1,0,1,0) =        187 /       1119 == 0.1671134942 =/= 0.1671131247
     nke(0,0,1,1,0,0,0,1,0,1,0,0,1) =       -121 /       1471 == -0.0822569680 =/= -0.0822566903
     nke(0,0,1,1,0,1,0,0,0,0,0,1,0) =         -4 /       1257 == -0.0031821798 =/= -0.0031823158
     nkd(0,0,1,0,1,0,1,1,1,0,1,1,0) =        216 /       1121 == 0.1926851026 =/= 0.1926854746
     nke(0,0,1,1,0,0,1,0,1,1,1,1,0) =        -17 /       1238 == -0.0137318255 =/= -0.0137323098
     nkd(0,0,1,0,1,1,0,0,1,1,1,0,0) =        237 /       1004 == 0.2360557769 =/= 0.2360557380
     nkd(0,0,1,0,1,0,1,1,0,0,1,1,0) =        279 /       1244 == 0.2242765273 =/= 0.2242766325
     nkd(0,0,1,0,1,0,1,0,1,0,1,1,0) =        216 /       1121 == 0.1926851026 =/= 0.1926854746
     nkd(0,0,1,0,1,1,0,0,1,0,1,0,1) =        307 /       1478 == 0.2077131258 =/= 0.2077135019
     nke(0,0,1,1,0,0,1,0,1,0,1,1,0) =        -17 /       1238 == -0.0137318255 =/= -0.0137323098
     nkd(0,0,1,0,1,1,0,0,1,0,1,0,0) =        216 /       1121 == 0.1926851026 =/= 0.1926854746
     nke(0,0,1,1,0,0,0,1,0,0,1,1,0) =       -131 /       1295 == -0.1011583012 =/= -0.1011585486
     nke(0,0,1,1,0,0,0,1,0,0,1,0,1) =       -121 /       1471 == -0.0822569680 =/= -0.0822566903
     nke(0,0,1,1,0,0,1,0,1,0,0,1,0) =        -17 /       1238 == -0.0137318255 =/= -0.0137323098
     nkd(0,0,1,0,1,1,0,0,1,0,0,0,0) =        125 /        817 == 0.1529987760 =/= 0.1529985887
     nkd(0,0,1,0,1,1,0,0,0,1,1,0,1) =        236 /        871 == 0.2709529277 =/= 0.2709527955
     nke(0,0,1,1,0,0,0,0,0,1,1,1,0) =        -51 /       1498 == -0.0340453939 =/= -0.0340454240
     nkd(0,0,1,0,1,0,0,1,0,0,0,1,0) =        267 /       1235 == 0.2161943320 =/= 0.2161942257
     nke(0,0,1,1,0,0,0,0,0,1,0,1,0) =        -51 /       1498 == -0.0340453939 =/= -0.0340454240
     nke(0,0,1,1,0,1,0,1,0,0,0,0,0) =        199 /       1340 == 0.1485074627 =/= 0.1485072343
     nkd(0,0,1,0,1,1,0,0,0,0,1,0,1) =        236 /        871 == 0.2709529277 =/= 0.2709527955
     nke(0,0,1,1,0,0,0,0,0,0,1,1,0) =        -51 /       1498 == -0.0340453939 =/= -0.0340454240
     nke(0,0,1,1,0,0,0,1,0,0,0,1,0) =       -131 /       1295 == -0.1011583012 =/= -0.1011585486
     nkd(0,0,1,0,1,0,1,0,0,0,0,1,0) =        283 /       1396 == 0.2027220630 =/= 0.2027224047
     nke(0,0,1,1,0,0,0,1,0,0,0,0,1) =       -121 /       1471 == -0.0822569680 =/= -0.0822566903
     nke(0,0,1,1,0,0,0,0,0,0,0,1,0) =        -51 /       1498 == -0.0340453939 =/= -0.0340454240
     nkd(0,0,1,0,1,0,0,1,1,1,1,0,1) =         12 /        793 == 0.0151324086 =/= 0.0151326185
     nke(0,0,1,1,0,1,0,0,1,1,1,0,0) =        271 /       1460 == 0.1856164384 =/= 0.1856160065
     nkd(0,0,1,0,1,0,1,0,1,1,1,0,1) =        236 /        863 == 0.2734646582 =/= 0.2734643031
     nkd(0,0,1,0,1,0,1,1,1,0,1,0,1) =        125 /       1117 == 0.1119068935 =/= 0.1119066461
     nke(0,0,1,1,0,0,1,0,1,1,1,0,1) =          1 /        772 == 0.0012953368 =/= 0.0012957174
     nkd(0,0,1,0,1,0,1,1,1,0,1,0,0) =        216 /       1121 == 0.1926851026 =/= 0.1926854746
     nkd(0,0,1,0,1,0,1,0,0,1,1,0,1) =        288 /        857 == 0.3360560093 =/= 0.3360557380
     nkd(0,0,1,0,1,0,0,0,0,1,1,0,1) =        349 /       1016 == 0.3435039370 =/= 0.3435036073
     nke(0,0,1,1,0,1,0,0,0,1,1,0,1) =         -4 /       1257 == -0.0031821798 =/= -0.0031823158
     nkd(0,0,1,0,1,0,1,1,0,1,0,0,1) =         11 /       1317 == 0.0083523159 =/= 0.0083518643
     nkd(0,0,1,0,1,0,1,1,0,1,0,0,0) =         11 /       1317 == 0.0083523159 =/= 0.0083518643
     nke(0,0,1,1,0,1,0,0,0,1,0,0,1) =         -4 /       1257 == -0.0031821798 =/= -0.0031823158
     nke(0,0,1,1,0,1,0,0,1,1,0,0,0) =        271 /       1460 == 0.1856164384 =/= 0.1856160065
     nkd(0,0,1,0,1,0,1,0,1,1,0,0,1) =        141 /       1349 == 0.1045218681 =/= 0.1045216898
     nke(0,0,1,1,0,0,1,0,1,1,0,0,1) =          1 /        772 == 0.0012953368 =/= 0.0012957174
     nkd(0,0,1,0,1,0,0,0,1,1,0,0,1) =        227 /       1371 == 0.1655725748 =/= 0.1655723499
     nkd(0,0,1,0,1,0,1,1,0,0,1,0,0) =        279 /       1244 == 0.2242765273 =/= 0.2242766325
     nke(0,0,1,1,0,1,0,0,0,0,1,0,1) =         -4 /       1257 == -0.0031821798 =/= -0.0031823158
     nkd(0,0,1,0,1,0,1,0,0,1,0,0,1) =        218 /       1443 == 0.1510741511 =/= 0.1510742690
     nke(0,0,1,1,0,0,0,0,1,1,0,0,0) =         61 /        868 == 0.0702764977 =/= 0.0702761841
     nke(0,0,1,1,0,1,0,0,0,0,0,0,1) =         -4 /       1257 == -0.0031821798 =/= -0.0031823158
     nkd(0,0,1,0,1,0,1,0,1,1,1,0,0) =        237 /       1004 == 0.2360557769 =/= 0.2360557380
     nke(0,0,1,1,0,1,0,0,1,0,1,0,0) =        271 /       1460 == 0.1856164384 =/= 0.1856160065
     nkd(0,0,1,0,1,0,1,0,1,0,1,0,1) =        216 /       1121 == 0.1926851026 =/= 0.1926854746
     nkd(0,0,1,0,1,0,1,0,1,0,1,0,0) =        216 /       1121 == 0.1926851026 =/= 0.1926854746
     nke(0,0,1,1,0,0,1,0,1,0,0,0,1) =          1 /        772 == 0.0012953368 =/= 0.0012957174
     nke(0,0,1,1,0,0,0,0,1,0,1,0,0) =          5 /        781 == 0.0064020487 =/= 0.0064023530
     nkd(0,0,1,0,1,0,0,1,0,0,0,0,1) =        267 /       1235 == 0.2161943320 =/= 0.2161942257
     nke(0,0,1,1,0,1,0,0,1,0,0,0,0) =        271 /       1460 == 0.1856164384 =/= 0.1856160065
     nkd(0,0,1,0,1,0,1,0,0,0,0,0,1) =        151 /       1058 == 0.1427221172 =/= 0.1427224047
     nkd(0,0,1,0,1,0,1,0,0,0,0,0,0) =        151 /       1392 == 0.1084770115 =/= 0.1084768989
     nke(0,0,1,1,0,1,0,0,0,1,1,0,0) =         -2 /        785 == -0.0025477707 =/= -0.0025477783
     nkd(0,0,1,0,1,0,0,0,1,1,1,0,0) =        237 /       1004 == 0.2360557769 =/= 0.2360557380
     nkd(0,0,1,0,1,0,0,0,0,1,1,0,0) =        349 /       1016 == 0.3435039370 =/= 0.3435036073
     nke(0,0,1,1,0,1,0,0,0,1,0,0,0) =         -2 /        785 == -0.0025477707 =/= -0.0025477783
     nkd(0,0,1,0,1,0,0,0,1,1,0,0,0) =        227 /       1371 == 0.1655725748 =/= 0.1655723499
     nke(0,0,1,1,0,1,0,0,0,0,1,0,0) =         -2 /        785 == -0.0025477707 =/= -0.0025477783
     nkd(0,0,1,0,1,0,0,1,0,0,0,0,0) =        127 /       1093 == 0.1161939616 =/= 0.1161942257
     nke(0,0,1,1,0,1,0,0,0,0,0,0,0) =         -2 /        785 == -0.0025477707 =/= -0.0025477783
     nkd(0,0,1,0,1,0,0,0,1,0,0,0,0) =        115 /       1339 == 0.0858849888 =/= 0.0858854641
     nkd(0,0,0,0,1,1,1,1,1,1,1,_,_) =        361 /        926 == 0.3898488121 =/= 0.3898489824
     nke(0,0,1,0,0,1,1,1,1,1,1,_,_) =        -25 /       1294 == -0.0193199382 =/= -0.0193202232
     nkd(0,0,0,0,1,0,1,1,0,1,1,1,1) =        152 /        983 == 0.1546286877 =/= 0.1546290508
     nkd(0,0,0,0,1,1,1,0,1,1,1,1,1) =        361 /        926 == 0.3898488121 =/= 0.3898489824
     nkd(0,0,1,0,0,1,1,1,1,0,1,1,1) =       -166 /       1125 == -0.1475555556 =/= -0.1475557578
     nke(0,0,0,1,0,0,1,1,1,1,1,1,0) =        268 /       1411 == 0.1899362155 =/= 0.1899362957
     nkd(0,0,1,0,0,1,1,1,1,0,1,0,1) =        151 /       1369 == 0.1102994887 =/= 0.1102992654
     nkd(0,0,0,0,1,0,0,0,1,1,1,1,1) =        268 /        985 == 0.2720812183 =/= 0.2720812725
     nkd(0,0,1,0,0,1,1,1,1,0,0,1,1) =         16 /       1399 == 0.0114367405 =/= 0.0114372387
     nke(0,0,0,1,0,0,0,1,1,1,1,1,1) =        -16 /       1399 == -0.0114367405 =/= -0.0114372387
     nkd(0,0,1,0,0,1,1,1,1,0,0,1,0) =        158 /        943 == 0.1675503712 =/= 0.1675500864
     nkd(0,0,0,0,1,0,0,0,0,1,1,1,1) =        441 /       1417 == 0.3112208892 =/= 0.3112209341
     nkd(0,0,1,0,0,1,1,1,0,1,1,1,1) =         73 /       1406 == 0.0519203414 =/= 0.0519202311
     nkd(0,0,0,0,1,1,0,1,1,1,0,1,1) =        181 /       1244 == 0.1454983923 =/= 0.1454983579
     nke(0,0,0,1,0,1,1,1,1,1,0,1,0) =         97 /       1451 == 0.0668504480 =/= 0.0668507894
     nkd(0,0,0,0,1,0,1,1,1,1,0,1,1) =        156 /       1159 == 0.1345987921 =/= 0.1345987154
     nke(0,0,0,1,0,1,1,1,1,1,0,0,1) =         52 /       1479 == 0.0351588911 =/= 0.0351589971
     nke(0,0,1,0,0,1,0,0,1,1,1,1,1) =        -54 /        769 == -0.0702210663 =/= -0.0702214484
     nkd(0,0,0,0,1,0,0,1,1,1,0,1,1) =        195 /       1388 == 0.1404899135 =/= 0.1404901146
     nkd(0,0,0,0,1,1,1,1,0,1,0,1,1) =        284 /       1461 == 0.1943874059 =/= 0.1943875546
     nkd(0,0,1,0,0,1,1,1,0,1,0,1,0) =        209 /        920 == 0.2271739130 =/= 0.2271740593
     nke(0,0,1,0,0,1,0,0,1,1,0,1,1) =        -54 /        769 == -0.0702210663 =/= -0.0702214484
     nkd(0,0,1,0,0,1,1,1,0,1,0,0,0) =        229 /        928 == 0.2467672414 =/= 0.2467674330
     nkd(0,0,1,0,0,1,1,1,0,0,1,0,1) =        192 /       1091 == 0.1759853346 =/= 0.1759857028
     nke(0,0,1,0,0,1,0,0,1,0,1,1,1) =        -54 /        769 == -0.0702210663 =/= -0.0702214484
     nkd(0,0,0,0,1,0,0,0,1,1,0,1,1) =        109 /        886 == 0.1230248307 =/= 0.1230245717
     nkd(0,0,0,0,1,1,1,0,0,1,0,1,1) =        284 /       1461 == 0.1943874059 =/= 0.1943875546
     nkd(0,0,1,0,0,1,1,1,0,0,0,1,1) =        383 /       1210 == 0.3165289256 =/= 0.3165292341
     nke(0,0,0,1,0,0,0,1,1,1,0,1,1) =        -16 /       1399 == -0.0114367405 =/= -0.0114372387
     nkd(0,0,0,0,1,0,1,0,0,1,0,1,1) =        135 /        913 == 0.1478641840 =/= 0.1478639919
     nkd(0,0,1,0,0,1,1,1,0,0,0,0,1) =        431 /       1374 == 0.3136826783 =/= 0.3136829818
     nke(0,0,1,0,0,1,0,0,1,0,0,1,1) =        -54 /        769 == -0.0702210663 =/= -0.0702214484
     nkd(0,0,1,0,0,1,1,0,1,1,1,1,0) =        199 /       1398 == 0.1423462089 =/= 0.1423463776
     nke(0,0,1,0,0,0,1,1,0,1,1,1,1) =         43 /       1022 == 0.0420743640 =/= 0.0420745460
     nkd(0,0,1,0,0,1,1,0,1,1,0,1,1) =        201 /       1382 == 0.1454413893 =/= 0.1454413801
     nkd(0,0,0,0,1,1,0,1,0,0,1,1,1) =        253 /       1223 == 0.2068683565 =/= 0.2068680674
     nke(0,0,1,0,0,0,1,1,0,1,0,1,1) =         43 /       1022 == 0.0420743640 =/= 0.0420745460
     nkd(0,0,0,0,1,1,0,0,1,0,1,1,1) =         67 /       1166 == 0.0574614065 =/= 0.0574617180
     nke(0,0,1,0,0,0,1,1,0,0,1,1,1) =         43 /       1022 == 0.0420743640 =/= 0.0420745460
     nkd(0,0,1,0,0,1,1,0,1,0,0,1,1) =        195 /       1243 == 0.1568785197 =/= 0.1568786188
     nke(0,0,0,1,0,0,0,1,1,0,1,1,1) =        -16 /       1399 == -0.0114367405 =/= -0.0114372387
     nkd(0,0,0,0,1,1,0,0,0,0,1,1,1) =        271 /       1404 == 0.1930199430 =/= 0.1930202192
     nke(0,0,1,0,0,0,1,1,0,0,0,1,1) =         43 /       1022 == 0.0420743640 =/= 0.0420745460
     nkd(0,0,1,0,0,1,1,0,0,1,1,1,1) =         11 /       1290 == 0.0085271318 =/= 0.0085267545
     nkd(0,0,0,0,1,1,0,1,1,0,0,1,1) =        303 /       1382 == 0.2192474674 =/= 0.2192478139
     nkd(0,0,1,0,0,1,1,0,0,1,1,1,0) =        110 /       1393 == 0.0789662599 =/= 0.0789664860
     nke(0,0,0,1,0,1,1,1,1,0,0,1,0) =        139 /        771 == 0.1802853437 =/= 0.1802848890
     nkd(0,0,0,0,1,1,0,1,0,0,0,1,1) =        317 /       1416 == 0.2238700565 =/= 0.2238701381
     nkd(0,0,1,0,0,1,1,0,0,0,1,1,0) =        477 /       1466 == 0.3253751705 =/= 0.3253747741
     nkd(0,0,1,0,0,1,1,0,0,0,0,1,1) =        304 /       1113 == 0.2731356694 =/= 0.2731357575
     nke(0,0,0,1,0,0,0,1,1,0,0,1,1) =        -16 /       1399 == -0.0114367405 =/= -0.0114372387
     nkd(0,0,0,0,1,1,0,0,0,0,0,1,1) =        285 /       1357 == 0.2100221076 =/= 0.2100222899
     nkd(0,0,1,0,0,1,1,0,0,0,0,1,0) =        304 /       1113 == 0.2731356694 =/= 0.2731357575
     nkd(0,0,1,0,0,1,0,1,1,1,1,1,1) =         32 /       1413 == 0.0226468507 =/= 0.0226468300
     nke(0,0,0,1,0,1,1,1,0,1,1,1,1) =         -8 /       1229 == -0.0065093572 =/= -0.0065089226
     nkd(0,0,0,0,1,1,0,1,1,1,1,1,0) =        284 /       1243 == 0.2284794851 =/= 0.2284792730
     nkd(0,0,1,0,0,1,0,1,1,1,1,1,0) =        199 /       1258 == 0.1581875994 =/= 0.1581873937
     nkd(0,0,1,0,0,1,0,1,1,1,1,0,1) =        294 /       1219 == 0.2411812961 =/= 0.2411816299
     nke(0,0,0,1,0,1,1,1,0,1,1,0,1) =         13 /        843 == 0.0154211151 =/= 0.0154213324
     nkd(0,0,0,0,1,0,0,1,1,1,1,1,0) =        313 /       1081 == 0.2895467160 =/= 0.2895468154
     nke(0,0,1,0,0,1,1,0,0,1,1,1,0) =        -63 /        799 == -0.0788485607 =/= -0.0788485736
     nke(0,0,1,0,0,1,1,1,1,1,0,1,0) =        -25 /       1294 == -0.0193199382 =/= -0.0193202232
     nkd(0,0,1,0,0,1,0,1,1,1,0,1,0) =       -154 /       1367 == -0.1126554499 =/= -0.1126551392
     nkd(0,0,0,0,1,0,1,1,0,1,1,1,0) =        152 /        983 == 0.1546286877 =/= 0.1546290508
     nke(0,0,0,1,0,1,0,1,0,1,1,0,0) =        305 /       1479 == 0.2062204192 =/= 0.2062202087
     nke(0,0,1,0,0,1,1,0,0,1,0,1,0) =        -63 /        799 == -0.0788485607 =/= -0.0788485736
     nkd(0,0,0,0,1,1,1,0,1,1,1,1,0) =        361 /        926 == 0.3898488121 =/= 0.3898489824
     nke(0,0,1,0,0,1,1,1,1,0,1,1,0) =        -25 /       1294 == -0.0193199382 =/= -0.0193202232
     nkd(0,0,1,0,0,1,0,1,1,0,1,1,0) =        179 /        798 == 0.2243107769 =/= 0.2243107928
     nkd(0,0,0,0,1,0,0,0,1,1,1,1,0) =        268 /        985 == 0.2720812183 =/= 0.2720812725
     nkd(0,0,1,0,0,1,0,1,1,0,1,0,0) =        301 /       1492 == 0.2017426273 =/= 0.2017421754
     nke(0,0,0,1,0,0,1,1,0,1,1,0,0) =        -11 /       1324 == -0.0083081571 =/= -0.0083082077
     nke(0,0,1,0,0,1,1,0,0,0,1,1,0) =        -63 /        799 == -0.0788485607 =/= -0.0788485736
     nke(0,0,1,0,0,1,1,1,1,0,0,1,0) =        -25 /       1294 == -0.0193199382 =/= -0.0193202232
     nkd(0,0,1,0,0,1,0,1,1,0,0,1,0) =        151 /        927 == 0.1628910464 =/= 0.1628912278
     nkd(0,0,1,0,0,1,0,1,1,0,0,0,1) =        345 /       1246 == 0.2768860353 =/= 0.2768857410
     nkd(0,0,0,0,1,0,0,0,0,1,1,1,0) =        441 /       1417 == 0.3112208892 =/= 0.3112209341
     nke(0,0,1,0,0,1,1,0,0,0,0,1,0) =        -63 /        799 == -0.0788485607 =/= -0.0788485736
     nkd(0,0,1,0,0,1,0,1,0,1,1,1,1) =        276 /       1411 == 0.1956059532 =/= 0.1956057189
     nke(0,0,0,1,0,1,1,1,0,1,0,1,1) =         -8 /       1229 == -0.0065093572 =/= -0.0065089226
     nkd(0,0,0,0,1,1,0,1,1,1,0,1,0) =        181 /       1244 == 0.1454983923 =/= 0.1454983579
     nkd(0,0,1,0,0,1,0,1,0,1,1,1,0) =        355 /       1472 == 0.2411684783 =/= 0.2411683087
     nkd(0,0,0,0,1,0,1,1,1,1,0,1,0) =        156 /       1159 == 0.1345987921 =/= 0.1345987154
     nke(0,0,0,1,0,1,1,1,0,1,0,0,1) =         13 /        843 == 0.0154211151 =/= 0.0154213324
     nke(0,0,1,0,0,1,0,0,1,1,1,1,0) =         48 /       1127 == 0.0425909494 =/= 0.0425914349
     nkd(0,0,0,0,1,0,0,1,1,1,0,1,0) =        195 /       1388 == 0.1404899135 =/= 0.1404901146
     nkd(0,0,1,0,0,1,0,1,0,1,1,0,0) =        355 /       1472 == 0.2411684783 =/= 0.2411683087
     nkd(0,0,0,0,1,1,1,1,0,1,0,1,0) =        284 /       1461 == 0.1943874059 =/= 0.1943875546
     nke(0,0,1,0,0,1,0,0,1,0,1,1,0) =         48 /       1127 == 0.0425909494 =/= 0.0425914349
     nkd(0,0,0,0,1,0,0,0,1,1,0,1,0) =        109 /        886 == 0.1230248307 =/= 0.1230245717
     nkd(0,0,1,0,0,1,0,1,0,0,1,0,0) =        350 /       1287 == 0.2719502720 =/= 0.2719503027
     nke(0,0,0,1,0,0,1,1,0,1,0,0,0) =        -11 /       1324 == -0.0083081571 =/= -0.0083082077
     nkd(0,0,0,0,1,1,1,0,0,1,0,1,0) =        284 /       1461 == 0.1943874059 =/= 0.1943875546
     nkd(0,0,1,0,0,1,0,1,0,0,0,1,1) =        169 /        849 == 0.1990577150 =/= 0.1990574922
     nkd(0,0,0,0,1,0,1,0,0,1,0,1,0) =        135 /        913 == 0.1478641840 =/= 0.1478639919
     nke(0,0,1,0,0,1,0,0,1,0,0,1,0) =         48 /       1127 == 0.0425909494 =/= 0.0425914349
     nkd(0,0,1,0,0,1,0,0,1,1,1,1,1) =        256 /       1289 == 0.1986035687 =/= 0.1986035163
     nke(0,0,0,1,0,1,1,1,0,0,1,1,1) =         -8 /       1229 == -0.0065093572 =/= -0.0065089226
     nkd(0,0,0,0,1,1,0,1,0,0,1,1,0) =        152 /        983 == 0.1546286877 =/= 0.1546290508
     nkd(0,0,1,0,0,1,0,0,1,0,1,1,1) =        243 /       1265 == 0.1920948617 =/= 0.1920945937
     nkd(0,0,0,0,1,1,0,0,0,0,1,1,0) =        271 /       1404 == 0.1930199430 =/= 0.1930202192
     nkd(0,0,1,0,0,1,0,0,0,1,1,1,1) =        366 /       1381 == 0.2650253440 =/= 0.2650251256
     nke(0,0,0,1,0,1,1,1,0,0,0,1,1) =         -8 /       1229 == -0.0065093572 =/= -0.0065089226
     nkd(0,0,0,0,1,1,0,1,1,0,0,1,0) =        303 /       1382 == 0.2192474674 =/= 0.2192478139
     nkd(0,0,0,0,1,1,0,1,0,0,0,1,0) =        317 /       1416 == 0.2238700565 =/= 0.2238701381
     nkd(0,0,1,0,0,1,0,0,0,1,0,1,0) =         -9 /       1273 == -0.0070699136 =/= -0.0070694681
     nkd(0,0,1,0,0,1,0,0,0,0,1,1,0) =        477 /       1466 == 0.3253751705 =/= 0.3253747741
     nkd(0,0,0,0,1,1,0,0,0,0,0,1,0) =        285 /       1357 == 0.2100221076 =/= 0.2100222899
     nkd(0,0,0,0,1,1,0,1,1,1,1,0,1) =        284 /       1243 == 0.2284794851 =/= 0.2284792730
     nkd(0,0,1,0,0,0,1,1,1,1,1,1,0) =        199 /       1258 == 0.1581875994 =/= 0.1581873937
     nkd(0,0,0,0,1,0,0,1,1,1,1,0,1) =        313 /       1081 == 0.2895467160 =/= 0.2895468154
     nkd(0,0,1,0,0,0,1,1,1,1,1,0,0) =        206 /       1421 == 0.1449683322 =/= 0.1449681478
     nkd(0,0,0,0,1,0,1,1,0,1,1,0,1) =        152 /        983 == 0.1546286877 =/= 0.1546290508
     nkd(0,0,1,0,0,0,1,1,1,1,0,0,1) =         53 /       1208 == 0.0438741722 =/= 0.0438738311
     nkd(0,0,1,0,0,0,1,1,1,1,0,0,0) =        -53 /       1244 == -0.0426045016 =/= -0.0426047561
     nke(0,0,1,0,0,1,0,1,1,1,1,0,1) =        -55 /       1178 == -0.0466893039 =/= -0.0466894842
     nkd(0,0,0,0,1,1,0,1,1,1,0,0,1) =        181 /       1244 == 0.1454983923 =/= 0.1454983579
     nke(0,0,1,0,0,1,0,1,0,1,1,0,1) =        -55 /       1178 == -0.0466893039 =/= -0.0466894842
     nkd(0,0,0,0,1,0,1,1,1,1,0,0,1) =        156 /       1159 == 0.1345987921 =/= 0.1345987154
     nkd(0,0,0,0,1,0,0,1,1,1,0,0,1) =        195 /       1388 == 0.1404899135 =/= 0.1404901146
     nkd(0,0,1,0,0,0,1,1,0,1,1,0,0) =        204 /       1133 == 0.1800529568 =/= 0.1800531529
     nke(0,0,1,0,0,1,0,0,0,1,1,0,1) =         73 /       1104 == 0.0661231884 =/= 0.0661233991
     nkd(0,0,0,0,1,1,1,1,0,1,0,0,1) =        284 /       1461 == 0.1943874059 =/= 0.1943875546
     nkd(0,0,1,0,0,0,1,1,0,1,0,1,1) =         60 /       1181 == 0.0508044030 =/= 0.0508048115
     nke(0,0,1,0,0,1,0,1,1,1,0,0,1) =        -55 /       1178 == -0.0466893039 =/= -0.0466894842
     nke(0,0,1,0,0,1,0,1,0,1,0,0,1) =        -55 /       1178 == -0.0466893039 =/= -0.0466894842
     nke(0,0,1,0,0,1,0,0,0,1,0,0,1) =         73 /       1104 == 0.0661231884 =/= 0.0661233991
     nke(0,0,1,0,0,0,1,1,0,1,1,0,1) =         -1 /        772 == -0.0012953368 =/= -0.0012957174
     nkd(0,0,0,0,1,1,0,1,0,0,1,0,1) =        253 /       1223 == 0.2068683565 =/= 0.2068680674
     nkd(0,0,1,0,0,0,1,0,1,1,0,1,0) =         -9 /       1273 == -0.0070699136 =/= -0.0070694681
     nke(0,0,1,0,0,0,1,1,0,1,0,0,1) =         -1 /        772 == -0.0012953368 =/= -0.0012957174
     nkd(0,0,1,0,0,0,1,0,0,1,1,1,1) =        185 /        844 == 0.2191943128 =/= 0.2191943972
     nkd(0,0,0,0,1,1,0,1,1,0,0,0,1) =        303 /       1382 == 0.2192474674 =/= 0.2192478139
     nkd(0,0,1,0,0,0,1,0,0,1,1,1,0) =        287 /       1187 == 0.2417860152 =/= 0.2417858320
     nkd(0,0,0,0,1,1,0,1,0,0,0,0,1) =        317 /       1416 == 0.2238700565 =/= 0.2238701381
     nkd(0,0,1,0,0,0,1,0,0,1,0,1,0) =         49 /       1000 == 0.0490000000 =/= 0.0489997230
     nkd(0,0,0,0,1,1,0,1,1,1,1,0,0) =        284 /       1243 == 0.2284794851 =/= 0.2284792730
     nkd(0,0,1,0,0,0,0,1,1,1,1,1,0) =        199 /       1258 == 0.1581875994 =/= 0.1581873937
     nke(0,0,0,1,0,1,1,0,0,1,1,0,1) =        173 /        867 == 0.1995386390 =/= 0.1995386381
     nkd(0,0,0,0,1,0,0,1,1,1,1,0,0) =        313 /       1081 == 0.2895467160 =/= 0.2895468154
     nkd(0,0,1,0,0,0,0,1,1,1,1,0,0) =        206 /       1421 == 0.1449683322 =/= 0.1449681478
     nkd(0,0,1,0,0,0,0,1,1,1,0,1,0) =        148 /        993 == 0.1490433031 =/= 0.1490433796
     nkd(0,0,0,0,1,0,1,1,0,1,1,0,0) =        152 /        983 == 0.1546286877 =/= 0.1546290508
     nkd(0,0,1,0,0,0,0,1,1,1,0,0,1) =        197 /        849 == 0.2320376914 =/= 0.2320376159
     nkd(0,0,1,0,0,0,0,1,1,1,0,0,0) =        197 /        849 == 0.2320376914 =/= 0.2320376159
     nke(0,0,1,0,0,1,0,1,1,1,1,0,0) =         53 /        929 == 0.0570505920 =/= 0.0570510030
     nkd(0,0,0,0,1,1,0,1,1,1,0,0,0) =        181 /       1244 == 0.1454983923 =/= 0.1454983579
     nke(0,0,1,0,0,1,0,1,0,1,1,0,0) =         53 /        929 == 0.0570505920 =/= 0.0570510030
     nkd(0,0,0,0,1,0,1,1,1,1,0,0,0) =        156 /       1159 == 0.1345987921 =/= 0.1345987154
     nke(0,0,0,1,0,1,1,0,0,1,0,0,1) =        173 /        867 == 0.1995386390 =/= 0.1995386381
     nkd(0,0,0,0,1,0,0,1,1,1,0,0,0) =        195 /       1388 == 0.1404899135 =/= 0.1404901146
     nkd(0,0,0,0,1,1,1,1,0,1,0,0,0) =        284 /       1461 == 0.1943874059 =/= 0.1943875546
     nkd(0,0,1,0,0,0,0,1,0,1,0,1,1) =        157 /       1161 == 0.1352282515 =/= 0.1352281090
     nke(0,0,1,0,0,1,0,1,1,1,0,0,0) =         53 /        929 == 0.0570505920 =/= 0.0570510030
     nkd(0,0,1,0,0,0,0,1,0,1,0,1,0) =        165 /        943 == 0.1749734889 =/= 0.1749732917
     nke(0,0,1,0,0,1,0,1,0,1,0,0,0) =         53 /        929 == 0.0570505920 =/= 0.0570510030
     nkd(0,0,1,0,0,0,0,0,1,1,1,1,1) =        143 /        766 == 0.1866840731 =/= 0.1866836809
     nke(0,0,1,0,0,0,1,1,1,1,1,0,0) =          5 /        924 == 0.0054112554 =/= 0.0054109128
     nke(0,0,1,0,0,0,1,1,0,1,1,0,0) =          5 /        924 == 0.0054112554 =/= 0.0054109128
     nke(0,0,1,0,0,0,1,1,1,1,0,0,0) =          5 /        924 == 0.0054112554 =/= 0.0054109128
     nkd(0,0,0,0,1,1,0,1,0,0,1,0,0) =        253 /       1223 == 0.2068683565 =/= 0.2068680674
     nkd(0,0,0,0,1,1,0,1,1,0,0,0,0) =        303 /       1382 == 0.2192474674 =/= 0.2192478139
     nkd(0,0,1,0,0,0,0,0,0,1,0,1,1) =        177 /       1042 == 0.1698656430 =/= 0.1698659966
     nkd(0,0,0,0,1,1,0,1,0,0,0,0,0) =        317 /       1416 == 0.2238700565 =/= 0.2238701381
