Output of /home/aschiem/Pgm/Hn/hn --invar -t --shells-4 -D5

&K=Q(sqrt(-1))
&Hdim=5      V=K^5
&HNeighbourhood at <2,-1+w> contains 2 classes:
mass of the neighbourhood is 1/73728
  Steinitz class <1,w>:
&Hlattice (#1 <-- #1)
       1 
       0        1 
       0        0        1 
       0        0        0        1 
       0        0        0        0        1 
  |Aut| = 2^13*3*5
  #short vectors:
   20  180  960 3380


&Hlattice (#2 <-- #2)
       1 
       0        2 
       0      1+w        2 
       0      1+w        1        2 
       0        1        0        0        2 
  |Aut| = 2^12*3^2*5
  #short vectors:
    4  244  960 3124



&Adjacence matrix (M_ij=#{neighbours of class i isometric to class j}):
 20  10 
 15  15 


classes of Z-lattices with respect to the trace form (scaled by 1/2)
&Dim=10      V=Q^10

&Genus of the trace-forms:
det= 1 = 1 
   2-adic symbol:  1^10_2 
  -1-adic symbol:  +^10 -^0 
level(of 2-scaled form)=4, weight=5
a_0,..,a_2 determine modular form

&Gram (#1 <- H1)
  1 
  0   1 
  0   0   1 
  0   0   0   1 
  0   0   0   0   1 
  0   0   0   0   0   1 
  0   0   0   0   0   0   1 
  0   0   0   0   0   0   0   1 
  0   0   0   0   0   0   0   0   1 
  0   0   0   0   0   0   0   0   0   1 
  |Aut| = 2^18*3^4*5^2*7
  #short vectors:
   20  180

&Gram (#2 <- H2)
  1 
  0   1 
  0   0   2 
  0   0  -1   2 
  0   0  -1   1   2 
  0   0  -1   1   0   2 
  0   0   1   0   0  -1   2 
  0   0   1   0   0   0   1   2 
  0   0   1   0   0   0   1   1   2 
  0   0  -1   0   0   0  -1  -1  -1   2 
  |Aut| = 2^17*3^5*5^2*7
  #short vectors:
    4  244

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