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load(ctensor);
ct_coords:[t,r,phi,z];
c: cos(sqrt(3)*r);
s: sin(sqrt(3)*r);
tt : exp(r)*c;
phit : exp(r)*s;
lg:matrix([tt,0,phit,0],
[0,-1,0,0],
[phit,0,-tt,0],
[0,0,0,-exp(-2*r)]
);
cmetric();
lriemann(false);
uriemann(false);
R:scurvature(); /* scalar curvature */
k:rinvariant (); /* Kretchmann */
taylor(R,r,0,12);
taylor(k,r,0,12);
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