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 1/6144
  Steinitz class <1,w>:
&Hlattice (#1 <-- #1)
       1 
       0        1 
       0        0        1 
       0        0        0        1 
  |Aut| = 2^11*3
  #short vectors:
   16  112  448 1136





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_0 
  -1-adic symbol:  +^8 -^0 
level(of 2-scaled form)=4, weight=4
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 
  |Aut| = 2^15*3^2*5*7
  #short vectors:
   16  112

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