JGD_GL6/GL6_D_8

Differentials of the Voronoi complex of perfect forms of rank 6 mod GL_6(Z),
Name GL6_D_8
Group JGD_GL6
Matrix ID 1980
Num Rows 544
Num Cols 637
Nonzeros 6,153
Pattern Entries 6,153
Kind Combinatorial Problem
Symmetric No
Date 2008
Author P. Elbaz-Vincent
Editor J.-G. Dumas
Structural Rank 542
Structural Rank Full false
Num Dmperm Blocks 2
Strongly Connect Components 8
Num Explicit Zeros 0
Pattern Symmetry 0%
Numeric Symmetry 0%
Cholesky Candidate no
Positive Definite no
Type integer
SVD Statistics
Matrix Norm 1.529840e+01
Minimum Singular Value 5.520564e-31
Condition Number 2.771167e+31
Rank 324
sprank(A)-rank(A) 218
Null Space Dimension 220
Full Numerical Rank? no
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Notes 
Differentials of the Voronoi complex of perfect forms of rank 6 mod GL_6(Z),
from Philippe Elbaz-Vincent, Institut Fourier, Grenoble, France.            
                                                                            
From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,                
http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html                   
                                                                            
http://www-fourier.ujf-grenoble.fr/-Informations-personnelles-.html?P=pev   
                                                                            
D_6  Smith Invariants = [ 1:156 ]                                           
D_7  Smith Invariants = [ 1:307 2:3 60:2 ]                                  
D_8  Smith Invariants = [ 1:320 2:1 6:2 12:1 ]                              
D_9  Smith Invariants = [ 1:217 2:3 ]                                       
D_10 Smith Invariants = [ 1:120 ]                                           
                                                                            
Filename in JGD collection: GL6/D_8.sms