I think I found something useful at google books. Yes , may be there are 60 different aberrations and their polynomials but the correcting trick is to find simple polynomials - lower degree aberration formulas -

in higher order polynomials - higher degree polynomials - and decrease one and see what happens at the other hand.

For each higher order aberration formula , there is a low order aberrattion formula hidden in the higher order and to balance each other , this is like chess , for each white soldier , there is a black soldier and you try to defense and attack with playing for either side.