#12143: PariError when creating a relative number field
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Reporter: culler | Owner: davidloeffler
Type: defect | Status: new
Priority: major | Milestone: sage-4.8
Component: number fields | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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{{{
sage: t = QQ['t'].gen()
sage: K.<a> = QQ.extension(t^6 - 1/4*t^3 - 1/64)
sage: s = K['s'].gen()
sage: g = s^4 + 2*a^2*s^2 + a^4 + a
sage: L.<b> = K.extension(g)
}}}
fails with PariError: inconsistent data (12)
The failure occurs in:
rings.number_field.number_field_rel.pari_relative_polynomial().polisirreducible()
If, instead, one tries:
{{{
sage: L.<b> = K.extension(g, check=False)
}}}
it fails with PariError: (5)
This time it fails in:
pari_absolute_base_polynomial().rnfequation(self.pari_relative_polynomial(),
1)
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12143>
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