Output of /home/aschiem/Pgm/Hn/hn --invar -t --shells-6 -D5

&K=Q(sqrt(-2))
&Hdim=2      V=K^2
&HNeighbourhood at <2,w> contains 2 classes:
mass of the neighbourhood is 7/48
1 even classes, mass 1/48
1 odd classes, mass 1/8

even classes:
------------

  Steinitz class <1,w>:
&Hlattice (#1 <-- #2)
       2 
     1-w        2 
  |Aut| = 2^4*3
  #short vectors:
    0   24    0   24    0   96




odd classes:
-----------

  Steinitz class <1,w>:
&Hlattice (#2 <-- #1)
       1 
       0        1 
  |Aut| = 2^3
  #short vectors:
    4    8   16   24   24   32



&Adjacence matrix (M_ij=#{neighbours of class i isometric to class j}):
  0   6 
  1   1 


classes of Z-lattices with respect to the trace form (scaled by 1/2)
&Dim=4      V=Q^4

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

&Gram (#1 <- H1)
  2 
  1   2 
  1   1   2 
  1   1   0   2 
  |Aut| = 2^7*3^2

&Genus of the odd trace-forms:
det= 4 = 2^2
   2-adic symbol:  [1^2 2^2]_4 
  -1-adic symbol:  +^4 -^0 
level(of 2-scaled form)=8, weight=2
a_0,..,a_2 determine modular form

&Gram (#2 <- H2)
  1 
  0   1 
  0   0   2 
  0   0   0   2 
  |Aut| = 2^6
  #short vectors:
    4    8

<end>