> Does this what you want?
>
> sage: R=ZZ['x1','x2','x3']
> sage: S=ZZ[R.gens()+('x4','x5')]
> sage: M=matrix(R,[1,2,3])
> sage: M.change_ring(S)
> [1 2 3]
>
> Variable names actually matter in sage, so there is automatically a
> coercion from R into S.
>
>
> That does EXACTLY what I want, but now I run into a bug:
R1 = ZZ['x0','x1']
x = R1(1)
R2 = ZZ[tuple('x'+str(i) for i in range(967))]
y = R2('x0')
x*y
gives a RuntimeError: maximum recursion depth exceeded.
The 967 is the smallest number in the Notebook that gives an error; on the
command line the error shows up a little sooner even.
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