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

&K=Q(sqrt(-1))
&Hdim=4      V=K^4

Family contains 1 classes:
mass of the family is 1/46080
  Steinitz class <1,w>:
&Hlattice (#1 <-- #2)
       2 
       1        2 
       0      1+w        2 
       0      1+w        1        2 
  |Aut| = 2^10*3^2*5
  #short vectors:
    0  240    0 2160





classes of Z-lattices with respect to the trace form (scaled by 1/2)
&Dim=8      V=Q^8

Genus of the 1st trace-form:
det= 1 = 1 
   2-adic symbol:  1^8_II 
  -1-adic symbol:  +^8 -^0 
level=1, weight=4
a_0,..,a_0 determine modular form

&Gram (#1 <- H1)
  2 
  1   2 
  0   1   2 
  0   1   1   2 
  0   0   0   0   2 
  0   0   1   1   1   2 
  0  -1   0   0   0   1   2 
  0  -1   0   0   0   1   1   2 
  |Aut| = 2^14*3^5*5^2*7

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