Output of /home/aschiem/bin/hn --invar -t --shells-12 --herm_lll3 0.8

&K=Q(sqrt(-10))
&Hdim=2      V=K^2
&HNeighbourhood at <3,3w> contains 2 classes:
mass of the neighbourhood is 1/2
  Steinitz class <2,w>:
&Hlattice (#1 <- #2)
     <1>    <2,w> 
       2 
    1/2w      3/2 
  |Aut| = 2^2
  #short vectors:
    0    2    4    2    0    8   12   10   16    2    8    8


&Hlattice (#2 <- #1)
     <1>    <2,w> 
       1 
       0      1/2 
  |Aut| = 2^2
  #short vectors:
    2    2    4    2    2    8    4   10   10    2   16    8





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

&Genus of the trace-forms:
det= 100 = 2^2 *5^2
   2-adic symbol:  [1^2 2^2]_0 
   5-adic symbol:  1^-2 5^-2 
  -1-adic symbol:  +^4 -^0 
level(of 2-scaled form)=40, weight=2
a_0,..,a_12 determine modular form

2-classes of trace forms

&Gram (#1 <- H1)
  2 
  1   3 
  0   0   4 
  0   0  -2   6 
  |Aut| = 2^4
  #short vectors:
    0    2    4    2    0    8   12   10   16    2    8    8

&Gram (#2 <- H2)
  1 
  0   2 
  0   0   5 
  0   0   0  10 
  |Aut| = 2^4
  #short vectors:
    2    2    4    2    2    8    4   10   10    2   16    8

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