Cadabra is a symbolic computer algebra system (CAS) designed
specifically for the solution of problems encountered in field theory.
It has extensive functionality for tensor computer algebra, tensor
polynomial simplification including multi-term symmetries, fermions and
anti-commuting variables, Clifford algebras and Fierz transformations,
component computations, implicit coordinate dependence, multiple index
types and many more. The input format is a subset of TeX. Programmable
in Python. Both a command-line and a graphical interface are available.

Optional runtime dependencies are matplotlib, mpmath, and sympy.