Output of /home/aschiem/Pgm/Hn/hn --invar -t --shells-8 -D5

&K=Q(sqrt(-11))
&Hdim=3      V=K^3
&HNeighbourhood at <3,-1+w> contains 2 classes:
mass of the neighbourhood is 1/16
  Steinitz class <1,w>:
&Hlattice (#1 <- #1)
       1 
       0        1 
       0        0        1 
  |Aut| = 2^4*3
  #short vectors:
    6   12   20   54   84  120  192  204


&Hlattice (#2 <- #2)
       1 
       0        2 
       0     -1+w        2 
  |Aut| = 2^3*3
  #short vectors:
    2   12   40   38   88  120  192  204



&Adjacence matrix (M_ij=#{neighbours of class i isometric to class j}):
  3  10 
  5   8 


classes of Z-lattices with respect to the trace form
&Dim=6      V=Q^6

&Genus of the trace-forms:
det= 1331 = 11^3
   2-adic symbol:  1^-6_II 
  11-adic symbol:  1^-3 11^-3 
  -1-adic symbol:  +^6 -^0 
level=11, weight=3
a_0,..,a_6 determine modular form

&Gram (#1 <- H1)
  2 
  0   2 
  0   0   2 
  1   0   0   6 
  0   1   0   0   6 
  0   0   1   0   0   6 
  |Aut| = 2^7*3
  #short vectors:
    0    6    0   12    0   20

&Gram (#2 <- H2)
  2 
  0   4 
  0   2   4 
  0  -1   0   4 
  0   0  -1  -2   4 
  1   0   0   0   0   6 
  |Aut| = 2^5*3
  #short vectors:
    0    2    0   12    0   40

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