the ordering issue in algebra and singular software can help you. i think you can find CoCoA Softwareon net with  free for download condition

Hi Mostafa, I'll check that software - thank you for the advice!

With Python and the sympy module

code

# -*- coding: utf-8 -*-

import sympy as sp

sp.var('a,b,c,d,e,f')

p=7*a*b**2*c**2*d*f**3 + 29*a*b**2*c**2*d*e**2*f**4 + 3*a*c**2*e*f**2+35*a**3+1

print p

Result

>>35*a**3 + 29*a*b**2*c**2*d*e**2*f**4 + 7*a*b**2*c**2*d*f**3 + 3*a*c**2*e*f**2 + 1

print polynôme in ascending order (a>b..>f>1) alphabetic order

Hi Pascal, thanks for the answer. Obviously I wasn't precise enough - I need to find the ranges of the values of h0,...,h4 variables where the polynomial valueswill have a particular order by their magnitudes - sorry about that...