gsl_poly_complex_solve FAILED for coefficients...
  a[0]=-0.058690412428659
  a[1]=+0.028123386142471
  a[2]=+0.008523354273975
  a[3]=-0.002639648481342
  a[4]=-0.000378023608125
  a[5]=+0.000099773554248
gsl_poly_complex_solve FOUND the roots...
  Coefficients:
    a[0] = -0.058690412428658
    a[1] = +0.028123386142471
    a[2] = +0.008523354273975
    a[3] = -0.002639648481342
    a[4] = -0.000378023608125
    a[5] = +0.000099773554248
  Roots:
    z[0] = +1.73113792 +0.00000000i
    z[1] = -3.63775203 +1.16095773i
    z[2] = -3.63775203 -1.16095773i
    z[3] = +4.66659092 +1.23569845i
    z[4] = +4.66659092 -1.23569845i