Output of /home/aschiem/Pgm/Hn/hn.debug --invar -t --shells-6

&K=Q(sqrt(-3))
&Hdim=7      V=K^7
&HNeighbourhood at <3,1+w> contains 2 classes:
mass of the neighbourhood is 1/201553920
  Steinitz class <1,w>:
&Hlattice (#1 <- #1)
       1 
       0        1 
       0        0        1 
       0        0        0        1 
       0        0        0        0        1 
       0        0        0        0        0        1 
       0        0        0        0        0        0        1 
  |Aut| = 2^11*3^9*5*7
  #short vectors:
   42  756 7602 46914 187488 531468


&Hlattice (#2 <- #2)
       1 
       0        2 
       0     -1+w        2 
       0        w        1        2 
       0        w        1        1        2 
       0        w        1        1        1        2 
       0        1        0        0        0        0        2 
  |Aut| = 2^10*3^8*5*7
  #short vectors:
    6  756 8574 44610 187488 531468



&Adjacence matrix (M_ij=#{neighbours of class i isometric to class j}):
420 672 
112 980 


classes of Z-lattices with respect to the trace form
&Dim=14      V=Q^14

&Genus of the trace-forms:
det= 2187 = 3^7
   2-adic symbol:  1^-14_II 
   3-adic symbol:  1^-7 3^-7 
  -1-adic symbol:  +^14 -^0 
level=3, weight=7
a_0,..,a_4 determine modular form

&Gram (#1 <- H1)
  2 
  0   2 
  0   0   2 
  0   0   0   2 
  0   0   0   0   2 
  0   0   0   0   0   2 
  0   0   0   0   0   0   2 
  1   0   0   0   0   0   0   2 
  0   1   0   0   0   0   0   0   2 
  0   0   1   0   0   0   0   0   0   2 
  0   0   0   1   0   0   0   0   0   0   2 
  0   0   0   0   1   0   0   0   0   0   0   2 
  0   0   0   0   0   1   0   0   0   0   0   0   2 
  0   0   0   0   0   0   1   0   0   0   0   0   0   2 
  |Aut| = 2^18*3^9*5*7
  #short vectors:
    0   42    0  756

&Gram (#2 <- H2)
  2 
  1   2 
  0   0   4 
  0   0   2   4 
  0   0   2   2   4 
  0   0  -2  -2   0   4 
  0   0   2   0   0   0   4 
  0   0  -1  -2   0   2   1   4 
  0   0   2   0   0   0   2   1   4 
  0   0  -1   1  -1  -1  -2  -2  -2   4 
  0   0   2   1   1   0   1   0   1  -1   4 
  0   0  -2  -2  -2   1  -1   0   0   1  -1   4 
  0   0  -2  -1  -2   1   0   0   0   1  -1   2   4 
  0   0  -2  -2  -1   2   0   1   0   0  -1   2   2   4 
  |Aut| = 2^12*3^8*5*7
  #short vectors:
    0    6    0  756

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