Deriving a Chebyshev lowpass filter from a transfer function

I want to determine the values of the Chebyshev filter having the following transfer function.$$H(s)=\dfrac{0.0626}{(s^2+0.1098s+0.936)(s^2+0.2873s+0.377)(s+0.1775)}$$

My initial road map on this problem was finding reflection coeff. of the filter by performing the following equation.$$|\rho(s)|^2=1-|H(s)|^2$$

Then, determining Z11 of the filter by calculating it from the following equation.

$$Z_{11}=\dfrac{1-\rho(s)}{1+\rho(s)}$$Hence, I could find the poles and zeros of the function and related ripple value according to values. But the expression becomes too complex to handle. Clearly, my roadmap for solving the problem is wrong. How can I obtain values of the components of the low-pass Chebyshev filter from a given transfer function?