standardForm -- convert to standard form

standardForm -- convert to standard form

standardForm f -- converts a polynomial or monomial to a form involving hash tables.

A polynomial is represented by hash tables in which the keys are hash tables representing the monomials and the values are the coefficients.

The monomials themselves are represented by hash tables in which the keys are the variables and the values are the corresponding exponents.

i1 : R = ZZ/101[x,y,z];

i2 : standardForm (x^2 - 7 + x*y*z^11 + y)



o2 = HashTable{HashTable{} => -7      }

               HashTable{0 => 1 } => 1

                         1 => 1

                         2 => 11

               HashTable{0 => 2} => 1

               HashTable{1 => 1} => 1



o2 : HashTable

Ways to use standardForm :

standardForm MonoidElement

standardForm RingElement