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

&K=Q(sqrt(-5))
&Hdim=2      V=K^2
&HNeighbourhood at <2,-1+w> contains 3 classes:
mass of the neighbourhood is 3/8
  Steinitz class <1,w>:
&Hlattice (#1 <-- #2)
<2,-1+w> <2,-1+w> 
     1/2 
       0      1/2 
  |Aut| = 2^3
  #short vectors:
    0    4    8    4   16   16


&Hlattice (#2 <-- #3)
       2 
      -w        3 
  |Aut| = 2^3
  #short vectors:
    0    4    8    4   16   16


&Hlattice (#3 <-- #1)
       1 
       0        1 
  |Aut| = 2^3
  #short vectors:
    4    4    0    4   12   16





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

&Genus of the trace-forms:
det= 25 = 5^2
   2-adic symbol:  1^4_4 
   5-adic symbol:  1^2 5^2 
  -1-adic symbol:  +^4 -^0 
level(of 2-scaled form)=20, weight=2
a_0,..,a_6 determine modular form

&Gram (#1 <- H1,H2)
  2 
  0   2 
  0   1   3 
  1   0   0   3 
  |Aut| = 2^5
  #short vectors:
    0    4    8    4   16   16

&Gram (#2 <- H3)
  1 
  0   1 
  0   0   5 
  0   0   0   5 
  |Aut| = 2^6
  #short vectors:
    4    4    0    4   12   16

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