This method applies permutations to polynomial ring elements by permuting the variables. Therefore the size of the permutation must be equal to the number of generators of the ring of the elements.
i1 : R = QQ[x_0..x_4] o1 = R o1 : PolynomialRing |
i2 : l = {1,0,2,3,4}
o2 = {1, 0, 2, 3, 4}
o2 : List
|
i3 : f = x_1*x_2*x_3
o3 = x x x
1 2 3
o3 : R
|
i4 : permutePolynomial(l,f)
o4 = x x x
0 2 3
o4 : R
|
This method can also permute polynomial expressions that are constructed from ring elements either by sums, products or powers.
i5 : ex = factor(x_1*x_2*x_3)+factor(x_1*x_3*x_4)
o5 = (x )(x )(x ) + (x )(x )(x )
3 2 1 4 3 1
o5 : Expression of class Sum
|
i6 : permutePolynomial(l,ex)
o6 = (x )(x )(x ) + (x )(x )(x )
3 2 0 4 3 0
o6 : Expression of class Sum
|
The object permutePolynomial is a method function.