i1 : R = QQ[x,y,z]; |
i2 : I = ideal(y^2-x*(x-1)*(x-13)) 3 2 2 o2 = ideal(- x + 14x + y - 13x) o2 : Ideal of R |
i3 : jacobian I o3 = {1} | -3x2+28x-13 | {1} | 2y | {1} | 0 | 3 1 o3 : Matrix R <--- R |
i4 : R = ZZ[a,b,c][x,y,z] o4 = R o4 : PolynomialRing |
i5 : jacobian ideal(a*y*z+b*x*z+c*x*y) o5 = {1} | yc+zb | {1} | xc+za | {1} | xb+ya | 3 1 o5 : Matrix R <--- R |