Output of /home/aschiem/Pgm/Hn/hn --invar -t --shells-3

&K=Q(sqrt(-19))
&Hdim=2      V=K^2
&HNeighbourhood at <2,2w> contains 2 classes:
mass of the neighbourhood is 3/8
  Steinitz class <1,w>:
&Hlattice (#1 <-- #2)
       2 
      -w        3 
  |Aut| = 2^2
  #short vectors:
    0    4    8


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



&Adjacence matrix (M_ij=#{neighbours of class i isometric to class j}):
  3   3 
  6   0 


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

&Genus of the trace-forms:
det= 361 = 19^2
   2-adic symbol:  1^4_II 
  19-adic symbol:  1^2 19^2 
  -1-adic symbol:  +^4 -^0 
level=19, weight=2
a_0,..,a_6 determine modular form

&Gram (#1 <- H1)
  4 
  0   4 
  1  -2   6 
  2  -1   1   6 
  |Aut| = 2^3
  #short vectors:
    0    0    0    4    0    8

&Gram (#2 <- H2)
  2 
  0   2 
  1   0  10 
  0   1   0  10 
  |Aut| = 2^5
  #short vectors:
    0    4    0    4    0    0

<end>