Note that over allocating has a performance hit attached to it:

sage: P = PolynomialRing(QQ,500,'x')
sage: f = P.random_element()
sage: R = PolynomialRing(QQ,1000,'x')
sage: g = R(f)

sage: %timeit f*f
100000 loops, best of 3: 18.2 µs per loop

sage: %timeit g*g
10000 loops, best of 3: 32.3 µs per loop

Also, it does increases the memory requirements for each and every element.

Martin

-- 
name: Martin Albrecht
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_www: http://www.informatik.uni-bremen.de/~malb
_jab: martinralbre...@jabber.ccc.de

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