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Instance: induced 73-vertex c3inv solution (5x5x5) induced73_c3inv.json
|V| = 73  |E| = 132  squares = 60  cubes = 0
cubes: []
connected: True
 coord 0 range 0 4
 coord 1 range 0 4
 coord 2 range 0 4
Z^3 edges between vertices of G that are NOT in G: 0 -> induced
number of maximal cells: 60  corners (raw definition): []
H_k(X;Z) (betti, torsion): [(1, []), (0, []), (0, [])]
chi(X) = 1
X(G) collapses to a point by elementary collapses: True (remaining cells: 1 , steps: 132 )
  dir 0  alpha=0    pieces=1 : V15 E18 F4 H=[1, 0, 0] collapsible=True
  dir 0  alpha=1/2  pieces=1 : V13 E12 F0 H=[1, 0] collapsible=True
  dir 0  alpha=1    pieces=1 : V15 E18 F4 H=[1, 0, 0] collapsible=True
  dir 0  alpha=3/2  pieces=1 : V9 E8 F0 H=[1, 0] collapsible=True
  dir 0  alpha=2    pieces=1 : V13 E16 F4 H=[1, 0, 0] collapsible=True
  dir 0  alpha=5/2  pieces=1 : V9 E8 F0 H=[1, 0] collapsible=True
  dir 0  alpha=3    pieces=1 : V15 E18 F4 H=[1, 0, 0] collapsible=True
  dir 0  alpha=7/2  pieces=1 : V13 E12 F0 H=[1, 0] collapsible=True
  dir 0  alpha=4    pieces=1 : V15 E18 F4 H=[1, 0, 0] collapsible=True
  dir 1  alpha=0    pieces=1 : V15 E18 F4 H=[1, 0, 0] collapsible=True
  dir 1  alpha=1/2  pieces=1 : V13 E12 F0 H=[1, 0] collapsible=True
  dir 1  alpha=1    pieces=1 : V15 E18 F4 H=[1, 0, 0] collapsible=True
  dir 1  alpha=3/2  pieces=1 : V9 E8 F0 H=[1, 0] collapsible=True
  dir 1  alpha=2    pieces=1 : V13 E16 F4 H=[1, 0, 0] collapsible=True
  dir 1  alpha=5/2  pieces=1 : V9 E8 F0 H=[1, 0] collapsible=True
  dir 1  alpha=3    pieces=1 : V15 E18 F4 H=[1, 0, 0] collapsible=True
  dir 1  alpha=7/2  pieces=1 : V13 E12 F0 H=[1, 0] collapsible=True
  dir 1  alpha=4    pieces=1 : V15 E18 F4 H=[1, 0, 0] collapsible=True
  dir 2  alpha=0    pieces=1 : V15 E18 F4 H=[1, 0, 0] collapsible=True
  dir 2  alpha=1/2  pieces=1 : V13 E12 F0 H=[1, 0] collapsible=True
  dir 2  alpha=1    pieces=1 : V15 E18 F4 H=[1, 0, 0] collapsible=True
  dir 2  alpha=3/2  pieces=1 : V9 E8 F0 H=[1, 0] collapsible=True
  dir 2  alpha=2    pieces=1 : V13 E16 F4 H=[1, 0, 0] collapsible=True
  dir 2  alpha=5/2  pieces=1 : V9 E8 F0 H=[1, 0] collapsible=True
  dir 2  alpha=3    pieces=1 : V15 E18 F4 H=[1, 0, 0] collapsible=True
  dir 2  alpha=7/2  pieces=1 : V13 E12 F0 H=[1, 0] collapsible=True
  dir 2  alpha=4    pieces=1 : V15 E18 F4 H=[1, 0, 0] collapsible=True
ALL PIECES contractible (H=Z in deg 0, 0 else, and collapsible): True
