#19603: Quotient of incompatible lattices
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   Reporter:  mjo       |            Owner:
       Type:  defect    |           Status:  new
   Priority:  major     |        Milestone:  sage-6.10
  Component:  geometry  |         Keywords:
  Merged in:            |          Authors:
  Reviewers:            |  Report Upstream:  N/A
Work issues:            |           Branch:
     Commit:            |     Dependencies:
   Stopgaps:            |
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 The `quotient` method of toric lattices accepts a sublattice and should
 check that the argument is in fact a sublattice. According to the
 documentation,
 {{{
    INPUT:

    * "sub" -- sublattice of self;

    * "check" -- (default: True) whether or not to check that "sub"
      is a valid sublattice.
 }}}

 However, it is possible to take the quotient of a lattice `N` with a
 sublattice of `M` that is not compatible:

 {{{
 sage: K = Cone([(1,0,0),(0,1,0)])
 sage: K.lattice()
 3-d lattice N
 sage: K.orthogonal_sublattice()
 Sublattice <M(0, 0, 1)>
 sage: K.lattice().quotient(K.orthogonal_sublattice())
 2-d lattice, quotient of 3-d lattice N by Free module of degree 3 and rank
 1 over Integer Ring
 Echelon basis matrix:
 [0 0 1]
 }}}

 This should raise an error instead.

--
Ticket URL: <http://trac.sagemath.org/ticket/19603>
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