Roots of (z-1.0)^6 = 1.0
                    Root                   (z-1.0)^6 
     1     0.000000     0.000000     1.000000     0.000000
     2     0.500000     0.866025     0.999999     0.000000
     3     0.500000    -0.866025     0.999999     0.000000
     4     1.499999    -0.866025     0.999992    -0.000003
     5     1.500000     0.866025     0.999999     0.000002
     6     2.000001     0.000000     1.000009     0.000000

Roots reflected in unit circle
                    Root                   (z-1.0)^6 
     1     0.000000     0.000000     1.000000     0.000000
     2     0.500000     0.000000     0.015625     0.000000
     3     0.500000    -0.866025     0.999999    -0.000001
     4     0.500000     0.866026     1.000001    -0.000001
     5     0.500000     0.288675    -0.037037     0.000000
     6     0.500000    -0.288676    -0.037037     0.000000