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

&K=Q(sqrt(-3))
&Hdim=6      V=K^6
&HNeighbourhood at <3,1+w> contains 2 classes:
mass of the neighbourhood is 13/235146240
  Steinitz class <1,w>:
&Hlattice (#1 <- #2)
       2 
       1        2 
       0     -1+w        2 
       0        w        1        2 
       0        w        1        1        2 
       0        w        1        1        1        2 
  |Aut| = 2^9*3^7*5*7
  #short vectors:
    0  756 4032 20412 60480 139860


&Hlattice (#2 <- #1)
       1 
       0        1 
       0        0        1 
       0        0        0        1 
       0        0        0        0        1 
       0        0        0        0        0        1 
  |Aut| = 2^10*3^8*5
  #short vectors:
   36  540 4356 20556 60696 137916



&Adjacence matrix (M_ij=#{neighbours of class i isometric to class j}):
224 112 
 96 240 


classes of Z-lattices with respect to the trace form
&Dim=12      V=Q^12

&Genus of the trace-forms:
det= 729 = 3^6
   2-adic symbol:  1^12_II 
   3-adic symbol:  1^6 3^6 
  -1-adic symbol:  +^12 -^0 
level=3, weight=6
a_0,..,a_4 determine modular form

&Gram (#1 <- H1)
  4 
  2   4 
  0  -1   4 
  0   1   2   4 
  0   1   2   2   4 
  0   1   2   2   2   4 
  2   1   0   0   0   0   4 
  1   2   1   2   2   2   2   4 
  0  -2   2   1   1   1   0  -1   4 
  0  -1   1   2   1   1   0   1   2   4 
  0  -1   1   1   2   1   0   1   2   2   4 
  0  -1   1   1   1   2   0   1   2   2   2   4 
  |Aut| = 2^10*3^7*5*7
  #short vectors:
    0    0    0  756

&Gram (#2 <- H2)
  2 
  0   2 
  0   0   2 
  0   0   0   2 
  0   0   0   0   2 
  0   0   0   0   0   2 
  1   0   0   0   0   0   2 
  0   1   0   0   0   0   0   2 
  0   0   1   0   0   0   0   0   2 
  0   0   0   1   0   0   0   0   0   2 
  0   0   0   0   1   0   0   0   0   0   2 
  0   0   0   0   0   1   0   0   0   0   0   2 
  |Aut| = 2^16*3^8*5
  #short vectors:
    0   36    0  540

<end>