#11836: pari bug in gens_reduced
-----------------------------------+----------------------------------------
Reporter: mirela | Owner: malb
Type: defect | Status: new
Priority: major | Milestone: sage-4.7.2
Component: commutative algebra | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Even with proof=false pari can not compute the reduced generators of the
ideal below.
{{{
sage: E = EllipticCurve('57a1')
sage: R.<x> = QQ['x']
sage: L.<b3> = NumberField(x^10 - 10*x^8 - 20*x^7 + 165*x^6 - 12*x^5 -
760*x^3 + 2220*x^2 + 5280*x + 7744)
sage: z_x = -96698852571685/2145672615243325696*b3^9 +
2472249905907/195061146840302336*b3^8 +
916693155514421/2145672615243325696*b3^7 +
1348520950997779/2145672615243325696*b3^6 -
82344497086595/12191321677518896*b3^5 +
2627122040194919/536418153810831424*b3^4 -
452199105143745/48765286710075584*b3^3 +
4317002771457621/536418153810831424*b3^2 +
2050725777454935/67052269226353928*b3 + 3711967683469209/3047830419379724
sage: E2 = E.change_ring(L)
sage: z = E2.lift_x(z_x)
sage: z3=3*z
sage: OL = L.OK()
sage: proof.number_field(False)
sage: gcd3 = OL.fractional_ideal(z3[0], z3[1]).gens_reduced()[0]
*** Warning: precision too low for generators, not given.
---------------------------------------------------------------------------
Traceback
...
PariError: (25)
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11836>
Sage <http://www.sagemath.org>
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