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

&K=Q(sqrt(-11))
&Hdim=2      V=K^2
&HNeighbourhood at <3,-1+w> contains 2 classes:
mass of the neighbourhood is 5/24
  Steinitz class <1,w>:
&Hlattice (#1 <- #2)
       2 
      -w        2 
  |Aut| = 2^2*3
  #short vectors:
    0   12   12   12   12   24   24   36


&Hlattice (#2 <- #1)
       1 
       0        1 
  |Aut| = 2^3
  #short vectors:
    4    4    8   20   16   32   16   36



&Adjacence matrix (M_ij=#{neighbours of class i isometric to class j}):
  1   3 
  2   2 


classes of Z-lattices with respect to the trace form
&Dim=4      V=Q^4

&Genus of the trace-forms:
det= 121 = 11^2
   2-adic symbol:  1^4_II 
  11-adic symbol:  1^2 11^2 
  -1-adic symbol:  +^4 -^0 
level=11, weight=2
a_0,..,a_4 determine modular form

&Gram (#1 <- H1)
  4 
  2   4 
  1   0   4 
  0   1  -2   4 
  |Aut| = 2^3*3
  #short vectors:
    0    0    0   12

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

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