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sympol(1) User Commands sympol(1)

sympol - symmetric polyhedra tool

sympol [OPTIONS] [INPUT_FILE]

SymPol computes restricted automorphisms of polyhedra and performs polyhedral description conversion up to a given or computed symmetry group.

SymPol mostly uses the .ine/.ext file format used by cddlib and lrslib; (http://cgm.cs.mcgill.ca/~avis/C/lrslib/USERGUIDE.html#File%20Formats). However, unlike cddlib, SymPol requires that every inequality (H-representation) or vertex and ray (V-representation) occupy a single line. In addition, SymPol offers an extension to the format

The extension permits the inclusion of the automorphism group of a polyhedron, or parts of it, in the file. It is given after the end of the H- or V-representation of a permutation group, as follows.

permutation group
p { list of #p group generators }
q { #q base points separated by whitespace }

The p group generators are to be given in cycle form, where commas separate cycles. The value q may be set to zero if no base of the group is known.

-h, --help
Show a help message.
-v, --verbose[=N]
Set the verbosity level, 0 by default. If N is omitted, 1 is assumed.
-t, --time
Enable time measurement.
-i, --input-file FILE
Read an input file (.ine or .ext). The file can also be listed last on the command line.
--automorphisms-only
Compute only restricted automorphisms and then exit.
--no-automorphisms
Ignores the given symmetry group and does not attempt to compute restricted automorphisms.
--bliss
Use bliss graph automorphism tool to compute restricted automorphisms (default if bliss is available).
--permlibmatrix
Use PermLib matrix automorphism search to compute restricted automorphisms.
--eigen
Use floating point arithmetic based on Eigen to compute restricted automorphisms.
-e, --estimation-only
Compute only LRS estimation and then exit.
-d, --direct
Compute dual description directly.
-a, --adm
Use one level of adjacency decomposition, solve subproblems directly.
--idm-adm-level idm-level adm-level
Use a combined IDM/ADM strategy with the indicated levels.
--adm-idm-level adm-level idm-level
Use a combined ADM/IDM strategy with the indicated levels.
--adm-estimate threshold
Use adjacency decomposition method up to the given estimate threshold.
--adm-dim threshold
Use adjacency decomposition method up to the given dimension threshold.
--adm-incidence threshold
Use adjacency decomposition method up to the given incidence number threshold.
--idm-adm idm-threshold adm-threshold
Use a combined IDM/ADM strategy with the indicated thresholds.
--cdd
Use cdd for core dual description conversion (EXPERIMENTAL).
--adjacencies
Record facet adjaencies. Requires ADM method at level 0.

--conf-lrs-estimates=N
The number of estimates that LRS performs (default: 8).
--conf-lrs-estimate-maxdepth=N
The maximal allowed depth of LRS estimates (default: 3).
--conf-compute-invariants=N
The maximal degree of permutation group invariant polynomials to use (default: 0).
--conf-compute-orbit-limit=N
Memory limit in megabytes for computing the full orbit (default: 1024).
--conf-compute-canonical-representatives=N
Nonzero to compute canonical representatives for faces (default: 0).
--conf-intermediate-poly-fileprefix=PREFIX
Prefix for filenames in which intermediate polyhedra are saved. This is useful for debugging and analyzing instances. Default: empty prefix.
0.1.6 SymPol

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