This fails:
%magma
Qt<t> := RationalFunctionField(Rationals());
R<w,x,y,z> := PolynomialRing(Qt, 4);
P0 := w^3 + x^3 + y^3 + z^3;
P := P0 + (w+x)*(w+2*y)*(w+3*z) + x*y*z;
Pt := P0 + t*P;
Pt_gradient := [Derivative(Pt, w), Derivative(Pt, x), Derivative(Pt, y), Derivative(Pt, z)];
Pt_jac := IdealWithFixedBasis(Pt_gradient);
Pt_gradient_long := Append(Pt_gradient, (1+t)*w*x*y*z);
Pt_jac_long := IdealWithFixedBasis(Pt_gradient_long);
b := (1+t)*w*x*y*z;
diffbasis := [2*w*P, 2*x*P, 2*y*P, 2*z*P, 3*b*P];
temp := Coordinates(Pt_jac, diffbasis[5]);
diffbasis[5] := (Derivative(temp[1],w) + Derivative(temp[2],x) + \
Derivative(temp[3],y) + Derivative(temp[4],z)) / (-3);
with the error:
File "<ipython console>", line 1
logstr(r"""Loading "/home/r1/kedlaya/.sage//temp/DWORK.MIT.EDU/22570//interface//tmp"""")
^
SyntaxError: EOL while scanning single-quoted string
but if you replace the last two lines by
diffbasis[5] := (Derivative(temp[1],w) + Derivative(temp[2],x) + Derivative(temp[3],y))/(-3);
then nothing breaks.