Character _ ZZ -- extract component

i1 : R = QQ[x,y,z]

o1 = R

o1 : PolynomialRing

i2 : I = ideal vars R

o2 = ideal (x, y, z)

o2 : Ideal of R

i3 : RI = res I

      1      3      3      1
o3 = R  <-- R  <-- R  <-- R
                           
     0      1      2      3

o3 : Complex

i4 : S3 = symmetricGroupActors R

o4 = {| y z x |, | y x z |, | x y z |}

o4 : List

i5 : A = action(RI,S3)

o5 = Complex with 3 actors

o5 : ActionOnComplex

i6 : c = character A

o6 = Character over QQ
      
     (0, {0})  |  1   1  1
     (1, {1})  |  0   1  3
     (2, {2})  |  0  -1  3
     (3, {3})  |  1  -1  1

o6 : Character

i7 : c_3

o7 = Character over QQ
      
     (3, {3})  |  1  -1  1

o7 : Character

i8 : c_{1,3}

o8 = Character over QQ
      
     (1, {1})  |  0   1  3
     (3, {3})  |  1  -1  1

o8 : Character