Output of /home/aschiem/Pgm/Hn/hn --invar -t --shells-2 &K=Q(sqrt(-5)) &Hdim=2 V=K^2 &HNeighbourhood at <3,-1+w> contains 2 classes: mass of the neighbourhood is 1/6 Steinitz class <2,-1+w>: &Hlattice (#1 <-- #1) <1> <2,-1+w> 2 -1/2+1/2w 1 |Aut| = 2^2*3 #short vectors: 0 6 &Hlattice (#2 <-- #2) <1> <2,-1+w> 2 -1/2-1/2w 1 |Aut| = 2^2*3 #short vectors: 0 6 &Adjacence matrix (M_ij=#{neighbours of class i isometric to class j}): 0 4 4 0 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_II 5-adic symbol: 1^-2 5^-2 -1-adic symbol: +^4 -^0 level=5, weight=2 a_0,..,a_2 determine modular form &Gram (#1 <- H1,H2) 2 1 2 1 0 4 1 0 -1 4 |Aut| = 2^3*3^2 #short vectors: 0 6