Output of /home/aschiem/Pgm/Hn/hn --invar -t --shells-6 -D5 &K=Q(sqrt(-2)) &Hdim=2 V=K^2 Family contains 1 classes: mass of the family is 1/8 Steinitz class <1,w>: &Hlattice (#1 <-- #1) 1 0 1 |Aut| = 2^3 #short vectors: 4 8 16 24 24 32 classes of Z-lattices with respect to the trace form (scaled by 1/2) &Dim=4 V=Q^4 Genus of the 1st trace-form: det= 4 = 2^2 2-adic symbol: [1^2 2^2]_4 -1-adic symbol: +^4 -^0 level(of 2-scaled form)=8, weight=2 a_0,..,a_2 determine modular form &Gram (#1 <- H1) 1 0 1 0 0 2 0 0 0 2 |Aut| = 2^6 #short vectors: 4 8