Hello everyone,

I need to compute the product: f(x_1)f(x_2)...f(x_n), where f is a 
polynomial of degree n, and I do not need the part with total degree larger 
than n. To reduce the computation complexity, I think it would be helpful 
to construct an n-variable multivariate polynomial ring, with terms total 
degree no larger than n. I found the following two possible ways to do 
this, however, I could not make either of them work for my settings. 

   1. 
   
   Create a multivariate polynomial ring then quotient out every monomial 
   with total degree larger than n. However I do not know how to express this 
   ideal.
   2. 
   
   I found a link on this site concerning 
   "set-of-polynomial-under-a-certain-degree" (I cannot post it since I am a 
   new user) which suggests a function max_degree for polynomial rings. 
   However, it seems there is no such a max_total_degree function for the 
   multivariate case. 
   
I am new to python, sage, and this community, so thank you in advance for 
your helpful suggestions and comments!

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