(a) |V| = 12, |E| = 19, connected = True
(b) squares = 8, cubes = 0
(c) Betti numbers of X(G) over GF(2): (1, 0, 0, 0)   (cells by dim: [12, 19, 8, 0], chi = 1)
(c) Betti numbers of X(G) over GF(10007): (1, 0, 0, 0)   (cells by dim: [12, 19, 8, 0], chi = 1)
   NOT simply connected: axis 1 alpha 0.0 chi 0 betti2 (1, 1, 0, 0)
   NOT simply connected: axis 1 alpha 0.5 chi 0 betti2 (1, 1, 0, 0)
(d) all pieces (integer and half-integer, all 3 axes) simply connected: False
(e) axis 0: T has 3 nodes, 2 edges, 1 components, 0 independent cycles -> tree: True
(e) axis 1: T has 2 nodes, 1 edges, 1 components, 0 independent cycles -> tree: True
(e) axis 2: T has 2 nodes, 1 edges, 1 components, 0 independent cycles -> tree: True
(f) corners of X(G): NONE
