%-------------------------------------------------------------------------------
% UF Sparse Matrix Collection, Tim Davis
% http://www.cise.ufl.edu/research/sparse/matrices/JGD_G5/IG5-14
% name: JGD_G5/IG5-14
% [Decomposable subspaces at degree d of the invariant ring of G5, Nicolas Thiery.]
% id: 1973
% date: 2008
% author: N. Thiery
% ed: J.-G. Dumas
% fields: name title A id date author ed kind notes
% kind: combinatorial problem
%-------------------------------------------------------------------------------
% notes:
% Decomposable subspaces at degree d of the invariant ring of G5, Nicolas Thiery.
% Univ. Paris Sud.                                                               
%                                                                                
% From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,                   
% http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html                      
%                                                                                
% http://www.lapcs.univ-lyon1.fr/~nthiery/LinearAlgebra/                         
%                                                                                
% Linear Algebra for combinatorics                                               
%                                                                                
% Abstract:  Computations in algebraic combinatorics often boils down to         
% sparse linear algebra over some exact field. Such computations are             
% usually done in high level computer algebra systems like MuPAD or              
% Maple, which are reasonnably efficient when the ground field requires          
% symbolic computations. However, when the ground field is, say Q  or            
% Z/pZ, the use of external specialized libraries becomes necessary. This        
% document, geared toward developpers of such libraries, present a brief         
% overview of my needs, which seems to be fairly typical in the                  
% community.                                                                     
%                                                                                
% IG5-6: 30 x 77 : rang = 30  (Iteratif: 0.01 s, Gauss: 0.01 s)                  
% IG5-7: 62 x 150 : rang = 62  (Iteratif: 0.02 s, Gauss: 0.01 s)                 
% IG5-8: 156 x 292 : rang = 154  (Iteratif: 0.08 s, Gauss: 0.01 s)               
% IG5-9: 342 x 540 : rang = 308  (Iteratif: 0.46 s, Gauss: 0.02 s)               
% IG5-10: 652 x 976 : rang = 527  (Iteratif: 2.1 s, Gauss: 0.07 s)               
% IG5-11: 1227 x 1692 : rang = 902  (Iteratif: 7.5 s, Gauss: 0.22 s)             
% IG5-12: 2296 x 2875 : rang = 1578  (Iteratif: 26 s, Gauss: 0.93 s)             
% IG5-13: 3994 x 4731 : rang = 2532  (Iteratif: 80 s, Gauss: 3.35 s)             
% IG5-14: 6727 x 7621 : rang = 3906  (Iteratif: 244 s, Gauss: 10.06 s)           
% IG5-15: 11358 x 11987 : rang = 6146  (Iteratif: s, Gauss: 29.74 s)             
% IG5-16: 18485 x 18829 : rang = 9519  (Iteratif: s, Gauss: 621.97 s)            
% IG5-17: 27944 x 30131 : rang = 14060  (Iteratif: s, Gauss: 1973.8 s)           
%                                                                                
% Filename in JGD collection: G5/IG5-14.txt2                                     
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