Output of /home/aschiem/bin/hn --invar -t --shells-7 --herm_lll3 0.8

&K=Q(sqrt(-43))
&Hdim=2      V=K^2
&HNeighbourhood at <2,2w> contains 3 classes:
mass of the neighbourhood is 7/8
  Steinitz class <1,w>:
&Hlattice (#1 <- #2)
       3 
    -1+w        4 
  |Aut| = 2
  #short vectors:
    0    0    4    4    4    8    4


&Hlattice (#2 <- #3)
       2 
      -w        6 
  |Aut| = 2^2
  #short vectors:
    0    4    0    4    0    8    8


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



&Adjacence matrix (M_ij=#{neighbours of class i isometric to class j}):
  3   2   1 
  4   1   1 
  4   2   0 


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

&Genus of the trace-forms:
det= 1849 = 43^2
   2-adic symbol:  1^4_II 
  43-adic symbol:  1^2 43^2 
  -1-adic symbol:  +^4 -^0 
level=43, weight=2
a_0,..,a_14 determine modular form

3-classes of trace forms

&Gram (#1 <- H1)
  6 
  0   6 
  1   2   8 
  2  -1   0   8 
  |Aut| = 2^2
  #short vectors:
    0    0    0    0    0    4    0    4    0    4    0    8    0    4

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

&Gram (#3 <- H3)
  2 
  0   2 
  1   0  22 
  0   1   0  22 
  |Aut| = 2^5
  #short vectors:
    0    4    0    4    0    0    0    4    0    8    0    0    0    0

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