public static java.lang.String getTripledMultiplicationTable(BinaryProductStructure orig_algebra,
Given three sets of basis elements a, b, c of the original algebra, the (Cayley-Dickson) tripling formula used
(due to "Alternative twisted tensor products and Cayley algebras" by H. Albuquerque, F. Panaite) is given by
e = (a,b,c)(d,e,f) = (ac-ld*b, da+bc*, )
'e' defining the set of basis elements of the new algebra.
'*' being the conjugation.
The product is the one of the original algebra.
ori_algebra - Original algebra
ori_mult_table - Names of the additional base elements (number equals the one of the
sign1 - -1,0 or 1.
sign2 - -1,0 or 1.
Multiplication table of the resulting algebra, having 4 times as many elements.