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Coercion and Laurent polynomial

asked 2016-06-02 20:11:36 +0200

Arnaud1418 gravatar image

Hi! Is there a simple way to make easy coercion from Symbolic Ring to Laurent polynomial ring (or even algebraic extension)? I've only been able to bypass the problem by the following trick (and due the amount of time I've spent on this I'm happy to share it!) :

# Polynomial in the Symbolic Ring
var('t')
P = t^3 + 1/10*t + 3*t^-1

# Laurent polynomial     
ringS.<t> = LaurentPolynomialRing(QQ)  

#PP = ringS(P)  # Not working
PP = ringS(sage_eval(str(P),locals={'t':t}))

print P, P.parent()
print PP, PP.parent()
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answered 2016-06-06 19:40:20 +0200

FrédéricC gravatar image

Like that

sage: var('t')
sage: P = t^3 + 1/10*t + 3*t^-1; P
t^3 + 1/10*t + 3/t
sage: rng = LaurentPolynomialRing(QQ,'t')
sage: rng(P.numerator())/rng(P.denominator())
3*t^-1 + 1/10*t + t^3
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Asked: 2016-06-02 20:11:36 +0200

Seen: 419 times

Last updated: Jun 06 '16