Final complex output for cos(2*pi*n):
[ 8.00000000e+00+0.00000000e+00j -4.05741625e-16-2.22044605e-16j
 -2.44929360e-16-2.44929360e-16j -2.26065058e-16+8.88178420e-16j
  0.00000000e+00-4.89858720e-16j -2.25075273e-15-1.33226763e-15j
 -2.81792560e-15-7.34788079e-16j  3.39530289e-15+9.99200722e-16j]
Final complex output for sin(pi*n):
[ 4.89858720e-16+0.00000000e+00j  4.89858720e-16+2.02906125e-16j
  4.89858720e-16+4.89858720e-16j  4.89858720e-16+1.18262356e-15j
 -3.42901104e-15-2.09966370e-30j  4.89858720e-16-1.18262356e-15j
  4.89858720e-16-4.89858720e-16j  4.89858720e-16-2.02906125e-16j]
Final complex output for 3n^3 + 2n^2 + 5n + 2:
[2788.        +0.00000000e+00j  185.92092296+1.76017489e+03j
 -548.        +8.16000000e+02j -673.92092296+3.44174890e+02j
 -700.        -6.34856901e-13j -673.92092296-3.44174890e+02j
 -548.        -8.16000000e+02j  185.92092296-1.76017489e+03j]
Final complex output for Unit Ramp:
[28.+0.00000000e+00j -4.+9.65685425e+00j -4.+4.00000000e+00j
 -4.+1.65685425e+00j -4.-3.42901104e-15j -4.-1.65685425e+00j
 -4.-4.00000000e+00j -4.-9.65685425e+00j]
Final complex output for Unit Step:
[ 8.00000000e+00+0.00000000e+00j -4.05741625e-16-2.22044605e-16j
 -2.44929360e-16-2.44929360e-16j -2.26065058e-16+8.88178420e-16j
  0.00000000e+00-4.89858720e-16j -2.25075273e-15-1.33226763e-15j
 -2.81792560e-15-7.34788079e-16j  3.39530289e-15+9.99200722e-16j]
Twiddle factor:
[[ 1.00000000e+00+0.00000000e+00j  1.00000000e+00+0.00000000e+00j
   1.00000000e+00+0.00000000e+00j  1.00000000e+00+0.00000000e+00j
   1.00000000e+00+0.00000000e+00j  1.00000000e+00+0.00000000e+00j
   1.00000000e+00+0.00000000e+00j  1.00000000e+00+0.00000000e+00j]
 [ 1.00000000e+00+0.00000000e+00j  7.07106781e-01-7.07106781e-01j
   6.12323400e-17-1.00000000e+00j -7.07106781e-01-7.07106781e-01j
  -1.00000000e+00-1.22464680e-16j -7.07106781e-01+7.07106781e-01j
  -1.83697020e-16+1.00000000e+00j  7.07106781e-01+7.07106781e-01j]
 [ 1.00000000e+00+0.00000000e+00j  6.12323400e-17-1.00000000e+00j
  -1.00000000e+00-1.22464680e-16j -1.83697020e-16+1.00000000e+00j
   1.00000000e+00+2.44929360e-16j  3.06161700e-16-1.00000000e+00j
  -1.00000000e+00-3.67394040e-16j -4.28626380e-16+1.00000000e+00j]
 [ 1.00000000e+00+0.00000000e+00j -7.07106781e-01-7.07106781e-01j
  -1.83697020e-16+1.00000000e+00j  7.07106781e-01-7.07106781e-01j
  -1.00000000e+00-3.67394040e-16j  7.07106781e-01+7.07106781e-01j
   5.51091060e-16-1.00000000e+00j -7.07106781e-01+7.07106781e-01j]
 [ 1.00000000e+00+0.00000000e+00j -1.00000000e+00-1.22464680e-16j
   1.00000000e+00+2.44929360e-16j -1.00000000e+00-3.67394040e-16j
   1.00000000e+00+4.89858720e-16j -1.00000000e+00-6.12323400e-16j
   1.00000000e+00+7.34788079e-16j -1.00000000e+00-8.57252759e-16j]
 [ 1.00000000e+00+0.00000000e+00j -7.07106781e-01+7.07106781e-01j
   3.06161700e-16-1.00000000e+00j  7.07106781e-01+7.07106781e-01j
  -1.00000000e+00-6.12323400e-16j  7.07106781e-01-7.07106781e-01j
  -2.69484194e-15+1.00000000e+00j -7.07106781e-01-7.07106781e-01j]
 [ 1.00000000e+00+0.00000000e+00j -1.83697020e-16+1.00000000e+00j
  -1.00000000e+00-3.67394040e-16j  5.51091060e-16-1.00000000e+00j
   1.00000000e+00+7.34788079e-16j -2.69484194e-15+1.00000000e+00j
  -1.00000000e+00-1.10218212e-15j -4.90477700e-16-1.00000000e+00j]
 [ 1.00000000e+00+0.00000000e+00j  7.07106781e-01+7.07106781e-01j
  -4.28626380e-16+1.00000000e+00j -7.07106781e-01+7.07106781e-01j
  -1.00000000e+00-8.57252759e-16j -7.07106781e-01-7.07106781e-01j
  -4.90477700e-16-1.00000000e+00j  7.07106781e-01-7.07106781e-01j]]