Hello, I am manipulating symbolic Matrices with complex numeric 
coefficients (angular momentum operators).
Their real and imaginary parts are algebraic.  I have troubles 
diagonalizing them because the real representation of the coefficients 
produce numerical rounding errors. As long as I use only real coefficients 
I can define them as s=Fraction(int(n),int(m)), and use e.g.  
sympy.sqrt(s*(s+1)),  thus avoiding numerical rounding errors. However 

              Fraction(1,2)*1j is 0.5*I 

and rounding errors are unavoidable. Is there a way out? I am thinking of a 
complex number with algebraic immutable real and imaginary part.

i) Is the concept sound? and ii) is it implemented (implementable) in sympy?

Thanks for your help

Roberto

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