normaliz - Man Page

manual page for Normaliz 3.9.1


normaliz [options] PROJECT


runs normaliz on



compute sublattice


compute support hyperplanes


compute triangulation


compute multiplicity


compute volume


compute volume by decent in the face lattice


compute Hilbert basis and multiplicity (needs full triangulation)


compute Hilbert basis (with partial triangulation)


check for integrally closed and compute witness if not


compute Hilbert (quasi-)polynomial


compute Hilbert (quasi-)polynomial and degree 1 elements


compute Hilbert basis and Hilbert polynomial (default)


compute degree 1 elements


compute Stanley decomposition (output in file .dec)


compute class group (default)


compute triangulation  (output in file .tri)


compute cone decomposition (includes -T)


compute integer hull


compute module generators over original monoid


compute weighted Ehrhart series


compute virtual multiplicity of weighted Ehrhart series


compute integral


check Gorenstein


computation mode: dual


computation mode: primal


computation mode: project-and-lift


computation mode: project-and-lift with floating point arithmetic


computation mode: approximate


computation mode: bottom decomposition


computation mode: no bottom decomposition


computation mode: keep order


computation mode: symmetrization


compute the ConeProperty <PROP>

-f,  --files

write the files .out .gen .inv .cst

-a,  --all-files

write all output files (except  .dec .tri .typ)


write the file .<SUFFIX> where <SUFFIX> can be one of cst, egn, esp, ext, gen, ht1, inv, lat, mod, msp, typ

-B,  --BigInt

directly use indefinite precision arithmetic


only use long long arithmetic, no conversion possible

-i,  --ignore

ignore the compute options set in the input file


limit the number of threads to <T>

--OutputDir=<path> set a path for the output files (relative to current directory)

-?,  --help

print this help text and exit

-c,  --verbose

verbose (prints control data)


print version info and exit

Please report bugs to <> or directly to our issue tracker:

with package(s) CoCoALib Flint antic arb e-antic nauty hash-library Copyright © 2007-2019  The Normaliz Team, University of Osnabrueck. This program comes with ABSOLUTELY NO WARRANTY; This is free software, and you are welcome to redistribute it under certain conditions; See COPYING for details.


September 2021 Normaliz 3.9.1