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Add interface for PALP polytope databases #12553

@vbraun

Description

@vbraun

This ticket implements an interface to read databases of reflexive polytopes:

  • Add databases in PALP format to the polytopes_db.spkg.
  • A class PALPreader that can read the palp output and yield it in various Sage representations.
  • Finally, this ticket contains a specialized PPL lattice polytope that is fast enough to construct to go through the 500 million 4-d reflexive polytopes and compute integral points.

The updated polytopes spkg is here:
http://boxen.math.washington.edu/home/vbraun/spkg/polytopes_db-20120220.spkg

Apply:

Depends on #11763
Depends on #11634
Depends on #12544
Depends on #14467

CC: @novoselt @jdemeyer

Component: packages: huge

Keywords: PALP reflexive polytopes

Author: Volker Braun

Reviewer: Dmitrii Pasechnik

Merged: sage-5.10.beta2

Issue created by migration from https://trac.sagemath.org/ticket/12553

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