Pascal Molin on Wed, 24 Jul 2013 15:22:15 +0200

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Re: New GP functions qfauto/qfisom etc.

On my system (OSX 10.7.5, gnu gcc 4.7)
compiling pari is OK but gp is broken :

make clean && make gp
dyld: Symbol not found: _qfauto0
 Referenced from: /Users/pascal/devel/pari/Odarwin-i386/libpari-gmp-2.6.dylib
 Expected in: flat namespace
Âin /Users/pascal/devel/pari/Odarwin-i386/libpari-gmp-2.6.dylib
zsh: trace trap ./gp

Pascal Molin

2013/7/18 Bill Allombert <>
Dear developers,

I just commit a patch that add a number of PARI functions for
automorphisms and isomorphisms of lattices

This is a port of the program ISOM by Bernt Souvignier which implement an
algorithm published in
W. PLESKEN, B. SOUVIGNIER, Computing Isometries of Lattices,
Journal of Symbolic Computation, Volume 24, Issues 3-4, September 1997,
Pages 327-334, ISSN 0747-7171, 10.1006/jsco.1996.0130.

I like to thanks Prof. Souvignier for his permission to use his code in PARI/GP.

The new functions are
qfauto(L): computes the automorphisms of the lattice L given by its Gram matrice.
qfisom(L1,L2): compute an isorphimsm between L1 and L2.
qfisominit(L1): precompute data for faster computation of isomorphisms with L1
qfautoexport(): export the output of qfauto to GAP or MAGMA format (as a matrix

This port is dedicated to Philippe Elbaz-Vincent. Enjoy it!

Please test!