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With the just-finished plural wrapper for Sage http://trac.sagemath.org/sage_trac/ticket/4539 you could also implement the (non-commutative) algebra of gamma matrices in an abstract way.
 Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.
 
                
                Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.