{
    matrix_id: '1982',
    name: 'GL6_D_10',
    group: 'JGD_GL6',
    description: 'Differentials of the Voronoi complex of perfect forms of rank 6 mod GL_6(Z),',
    author: 'P. Elbaz-Vincent',
    editor: 'J.-G. Dumas',
    date: '2008',
    kind: 'combinatorial problem',
    problem_2D_or_3D: '0',
    num_rows: '163',
    num_cols: '341',
    nonzeros: '2053',
    num_explicit_zeros: '0',
    num_strongly_connected_components: '5',
    num_dmperm_blocks: '2',
    structural_full_rank: 'false',
    structural_rank: '158',
    pattern_symmetry: '0.000',
    numeric_symmetry: '0.000',
    rb_type: 'integer',
    structure: 'rectangular',
    cholesky_candidate: 'no',
    positive_definite: 'no',
    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_10.sms                                    
',
    norm: '1.097220e+01',
    min_singular_value: '2.124319e-17',
    condition_number: '516504149638790400',
    svd_rank: '120',
    sprank_minus_rank: '38',
    null_space_dimension: '43',
    full_numerical_rank: 'no',
    svd_gap: '157100544270338.250000',
    image_files: 'GL6_D_10.png,GL6_D_10_dmperm.png,GL6_D_10_scc.png,GL6_D_10_svd.png,GL6_D_10_graph.gif,',
}
