-- -*- M2-comint -*- {* hash: -596663758 *} i1 : R = QQ[x,y]; i2 : I = ideal(x^3,y^2); o2 : Ideal of R i3 : J = janetBasis I; i4 : multVar J o4 = {set {y}, set {y}, set {x, y}, set {y}} o4 : List i5 : R = QQ[x,y,z]; i6 : I = ideal(x,y,z); o6 : Ideal of R i7 : C = res(I, Strategy => Involutive) 1 3 3 1 o7 = R <-- R <-- R <-- R <-- 0 0 1 2 3 4 o7 : ChainComplex i8 : multVar(C, 2) o8 = {set {x, y, z}, set {x, y, z}, set {y, z}} o8 : List i9 : R = QQ[x,y,z]; i10 : M = matrix {{x*y,x^3*z}}; 1 2 o10 : Matrix R <--- R i11 : J = janetBasis M +---+---------+ o11 = |x*y|{z, y} | +---+---------+ | 2 | | |x y|{z, y} | +---+---------+ | 3 | | |x z|{z, x} | +---+---------+ | 3 | | |x y|{z, y, x}| +---+---------+ o11 : InvolutiveBasis i12 : F = factorModuleBasis J +--+------+ o12 = |1 |{z, y}| +--+------+ |x |{z} | +--+------+ | 2| | |x |{z} | +--+------+ | 3| | |x |{x} | +--+------+ o12 : FactorModuleBasis i13 : basisElements F o13 = | 1 x x2 x3 | 1 4 o13 : Matrix R <--- R i14 : multVar F o14 = {set {y, z}, set {z}, set {z}, set {x}} o14 : List i15 :