TO BE VERIFIED!!!!


#**  Laplace Domain Transfer Functions
#**
#**  H(s) = 1.0/Pn(s)
#**
#**  Butterworth Filters
#**
#**  P01(s) = (1.0+s)
#**  P02(s) =         (1.0+1.414s+s^2)
#**  P03(s) = (1.0+s)*(1.0+1.000s+s^2)
#**  P04(s) =         (1.0+1.848s+s^2)*(1.0+0.765s+s^2)
#**  P05(s) = (1.0+s)*(1.0+1.618s+s^2)*(1.0+0.618s+s^2)
#**  P06(s) =         (1.0+1.932s+s^2)*(1.0+1.414s+s^2)*(1.0+0.518s+s^2)
#**  P07(s) = (1.0+s)*(1.0+1.802s+s^2)*(1.0+1.247s+s^2)*(1.0+0.445s+s^2)
#**  P08(s) =         (1.0+1.962s+s^2)*(1.0+1.663s+s^2)*(1.0+1.111s+s^2)*(1.0+0.390s+s^2)
#**  P09(s) = (1.0+s)*(1.0+1.879s+s^2)*(1.0+1.532s+s^2)*(1.0+1.000s+s^2)*(1.0+0.347s+s^2)
#**  P10(s) =         (1.0+1.975s+s^2)*(1.0+1.782s+s^2)*(1.0+1.414s+s^2)*(1.0+0.908s+s^2)*(1.0+0.313s+s^2)

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  P01(s) = s    + 1.0
  P02(s) = s^2  + 1.414 s   +  1.0
  P03(s) = s^3  + 2.0   s^2 +  2.0      s   + 1.0
  P04(s) = s^4  + 2.613 s^3 +  3.41372  s^2 + 2.613        s   + 1.0
  P05(s) = s^5  + 3.236 s^4 +  5.235924 s^3 + 5.235924     s^2 + 3.236             s   + 1.0
  P06(s) = s^6  + 3.864 s^5 +  7.465076 s^4 + 9.143097264  s^3 + 7.465076          s^2 + 3.864            s   + 1.0
  P07(s) = s^7  + 4.494 s^6 + 10.097899 s^5 + 14.59185583  s^4 + 14.59185583       s^3 + 10.097899        s^2 + 4.494             s   + 1.0
  P08(s) = s^8  + 5.126 s^7 + 13.137221 s^6 + 21.846148056 s^5 + 25.68818321174    s^4 + 21.846148056     s^3 + 13.137221         s^2 + 5.126        s   + 1.0
  P09(s) = s^9  + 5.758 s^8 + 16.578245 s^7 + 31.155373916 s^6 + 41.974502832      s^5 + 41.974502832     s^4 + 31.155373916      s^3 + 16.578245    s^2 + 5.758     s   + 1.0
  P10(s) = s^10 + 6.392 s^9 + 20.429843 s^8 + 42.797807592 s^7 + 64.87588483729201 s^6 + 74.2259570436692 s^5 + 64.87588483729199 s^4 + 42.797807592 s^3 + 20.429843 s^2 + 6.392 s + 1.0

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