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

&K=Q(sqrt(-2))
&Hdim=3      V=K^3
&HNeighbourhood at <2,w> contains 2 classes:
mass of the neighbourhood is 1/32
  Steinitz class <1,w>:
&Hlattice (#1 <- #1)
       1 
       0        1 
       0        0        1 
  |Aut| = 2^4*3
  #short vectors:
    6   18   44   90  144  212


&Hlattice (#2 <- #2)
       1 
       0        2 
       0      1-w        2 
  |Aut| = 2^5*3
  #short vectors:
    2   26   52   74  144  196



&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 (scaled by 1/2)
&Dim=6      V=Q^6

&Genus of the trace-forms:
det= 8 = 2^3
   2-adic symbol:  [1^3 2^3]_6 
  -1-adic symbol:  +^6 -^0 
level(of 2-scaled form)=8, weight=3
a_0,..,a_3 determine modular form

&Gram (#1 <- H1)
  1 
  0   1 
  0   0   1 
  0   0   0   2 
  0   0   0   0   2 
  0   0   0   0   0   2 
  |Aut| = 2^8*3^2
  #short vectors:
    6   18   44

&Gram (#2 <- H2)
  1 
  0   2 
  0   1   2 
  0  -1  -1   2 
  0   1   1   0   2 
  0   0   0   0   0   2 
  |Aut| = 2^9*3^2
  #short vectors:
    2   26   52

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