restart;

#Import physics package and establish dimension

with(Physics):

Setup(dimension=3):

#Define the tensor. N.B.: Here it would be equally correct to add ',minimizetensorcomponents' to the argument and it would do the same as the Library:-MinimizeTensorComponents command below (or at least, has the same outcome)

Define(T[mu,nu,alpha],symmetric={{mu,nu}},antisymmetric={{nu,alpha}});

#Reduces the number of tensor components based on symmetries, and finds the number of independent components

Library:-MinimizeTensorComponents(T[mu,nu,alpha]);
Library:-NumberOfIndependentTensorComponents(T[mu,nu,alpha]);