-- -*- M2-comint -*- hash: 17504610096104060895

i1 : R = QQ[t];

i2 : X = polyPath({t + t^2, t^3})

o2 = Path in 2-dimensional space with 1 polynomial segment:

        2       3
     {{t  + t, t }}

o2 : Path

i3 : Y = X ** X

o3 = Path in 2-dimensional space with 2 polynomial segments:

        2       3     2       3
     {{t  + t, t }, {t  + t, t }}

o3 : Path

i4 : A2 = wordAlgebra(2)

o4 = A2

o4 : NCPolynomialRing

i5 : [1,2]_A2 -- the word 12.

o5 = Lt Lt
       1  2

o5 : A2

i6 : sig(X,[1,2]_A2-[2,1]_A2)

      7
o6 = --
     10

o6 : QQ

i7 : T = sig(X,2)

     1   2 13       27           2
o7 = -Lt  +--Lt Lt +--Lt Lt +2Lt
     2  2  20  2  1 20  1  2    1

o7 : QQ{Lt , Lt }
          1    2

i8 : T // wordFormat

     1          13          27
o8 = - [2, 2] + -- [2, 1] + -- [1, 2] + 2 [1, 1]
     2          20          20

i9 : T // tensorArray

                   27    13  1
o9 = {{0, 0}, {{2, --}, {--, -}}}
                   20    20  2

o9 : List

i10 : S = QQ[a,b,c]

o10 = S

o10 : PolynomialRing

i11 : R = S[t]

o11 = R

o11 : PolynomialRing

i12 : X = polyPath({a*t+b*t^2,c*t^3})

o12 = Path in 2-dimensional space with 1 polynomial segment:

           2           3
      {{b*t  + a*t, c*t }}

o12 : Path

i13 : Y = X ** X

o13 = Path in 2-dimensional space with 2 polynomial segments:

           2           3       2           3
      {{b*t  + a*t, c*t }, {b*t  + a*t, c*t }}

o13 : Path

i14 : sig(X, sgnVolTensor(A2))

      1       1
o14 = -a*c + --b*c
      4      10

o14 : S

i15 : 
