-- -*- M2-comint -*- {* hash: 1532495207 *}

i1 : R = QQ[x,y];

i2 : I = ideal(x^3,y^2);

o2 : Ideal of R

i3 : J = janetBasis I;

i4 : basisElements J

o4 = | y2 xy2 x3 x2y2 |

             1       4
o4 : Matrix R  <--- R

i5 : multVar J

o5 = {set {y}, set {y}, set {x, y}, set {y}}

o5 : List

i6 : R = QQ[x,y];

i7 : M = matrix {{x*y-y^3, x*y^2, x*y-x}, {x, y^2, x}};

             2       3
o7 : Matrix R  <--- R

i8 : J = janetBasis M;

i9 : basisElements J

o9 = | y3-x xy-x x2y-x2 x3 -x      x2 -x2        0         |
     | 0    x    x2     x2 xy-y2+x y3 x2y-xy2+x2 x3+2x2+y2 |

             2       8
o9 : Matrix R  <--- R

i10 : multVar J

o10 = {set {y}, set {y}, set {y}, set {x, y}, set {y}, set {y}, set {y}, set
      -----------------------------------------------------------------------
      {x, y}}

o10 : List

i11 : R = QQ[x,y,z];

i12 : I = ideal(x,y,z);

o12 : Ideal of R

i13 : C = res(I, Strategy => Involutive)

       1      3      3      1
o13 = R  <-- R  <-- R  <-- R  <-- 0
                                   
      0      1      2      3      4

o13 : ChainComplex

i14 : janetBasis(C, 2)

      +----------+---------+
o14 = |{1} | -y ||{z, y, x}|
      |{1} | x  ||         |
      |{1} | 0  ||         |
      +----------+---------+
      |{1} | -z ||{z, y, x}|
      |{1} | 0  ||         |
      |{1} | x  ||         |
      +----------+---------+
      |{1} | 0  ||{z, y}   |
      |{1} | -z ||         |
      |{1} | y  ||         |
      +----------+---------+

o14 : InvolutiveBasis

i15 :