Roots of (z-1.0)^6 = 1.0
                   Root                  (z-1.0)^6
      1    0.500000   -0.866026    1.000000    0.000002
      2    1.499999   -0.866024    0.999992    0.000000
      3    0.000000    0.000000    1.000000    0.000000
      4    2.000001   -0.000001    1.000006   -0.000008
      5    0.500000    0.866025    0.999999    0.000000
      6    1.500000    0.866026    1.000000    0.000003

 Roots reflected in unit circle
                   Root                  (z-1.0)^6
      1    0.500000   -0.866025    0.999998   -0.000001
      2    0.500000   -0.288675   -0.037037    0.000000
      3    0.000000    0.000000    1.000000    0.000000
      4    0.500000    0.000000    0.015625    0.000000
      5    0.500000    0.288675   -0.037037    0.000000
      6    0.500000    0.866025    0.999999    0.000001