Output of /home/aschiem/Pgm/Hn/hn --invar -t --shells-6 &K=Q(sqrt(-5)) &Hdim=2 V=K^2 &HNeighbourhood at <3,-1+w> contains 1 classes: mass of the neighbourhood is 1/4 Steinitz class <2,-1+w>: &Hlattice (#1 <-- #1) <1> <2,-1+w> 1 0 1/2 |Aut| = 2^2 #short vectors: 2 2 8 10 2 8 &Adjacence matrix (M_ij=#{neighbours of class i isometric to class j}): 4 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_0 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) 1 0 2 0 -1 3 0 0 0 5 |Aut| = 2^4 #short vectors: 2 2 8 10 2 8