I synthesis a filter and the transfer function of the filter is got, I need to change the transfer function (with no zeros) to the LC ladder filter, I tried to use filter solutions by using its cutom filter menu, but after I input the coefficient of the transfer fuction, filter solutions display "No circuit can be generated".

My question is, given the arbitrary transfer function, how can I get the LC ladder form of the filter?

the denominator of the transfer function is :
s^6+1.574827s^5+2.725802s^4+2.339088s^3+1.732449s^2+0.694943s+0.165114
the numberator of the transfer function is 1
Thank you very much.