#19748: bug in number_of_Gamma0_NFCusps
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   Reporter:  cremona        |            Owner:
       Type:  defect         |           Status:  new
   Priority:  major          |        Milestone:  sage-7.0
  Component:  number theory  |         Keywords:  number field cusps
  Merged in:                 |          Authors:
  Reviewers:                 |  Report Upstream:  N/A
Work issues:                 |           Branch:
     Commit:                 |     Dependencies:
   Stopgaps:                 |
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 Haluk Sengun reported this:
 {{{
 sage: k.<a> = NumberField(x^2 + 7)
 sage: N = k.ideal(9)
 sage: from sage.modular.cusps_nf import number_of_Gamma0_NFCusps
 sage: number_of_Gamma0_NFCusps(N)
 ...
 PariError: inconsistent variables in nf_to_scalar_or_basis, u != y
 }}}

 For a simpler sequence which triggers the bug:
 {{{
 sage: k.<a> = NumberField(x^2 + 7)
 sage: ugens = k.unit_group().gens(); ugens
 (u,)
 sage: I = k.ideal(3)
 sage: I.invertible_residues_mod(ugens)
 }}}

 The following works, showing how to fix it (possibly):
 {{{
 sage: I.invertible_residues_mod([k(u) for u in ugens])
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/19748>
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