#11891: NumberField(...).pari_polynomial() should return an integral polynomial
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Reporter: jdemeyer | Owner: davidloeffler
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.7.2
Component: number fields | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Mostly, PARI only works with number fields defined by monic integral
polynomials. A few functions (like `factornf()`) also work for non-monic
polynomials. In these cases, PARI always requires the polynomial to have
integer coefficients. So, PARI prefers `2*x^2 - 1` over `x^2 - 1/2` for
defining a number field. The `NumberField` method `pari_polynomial`
should reflect this.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11891>
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