Output of /home/aschiem/Pgm/Hn/hn --invar -t --shells-4 -D5 &K=Q(sqrt(-1)) &Hdim=3 V=K^3 &HNeighbourhood at <2,-1+w> contains 1 classes: mass of the neighbourhood is 1/384 Steinitz class <1,w>: &Hlattice (#1 <- #1) 1 0 1 0 0 1 |Aut| = 2^7*3 #short vectors: 12 60 160 252 &Adjacence matrix (M_ij=#{neighbours of class i isometric to class j}): 6 classes of Z-lattices with respect to the trace form (scaled by 1/2) &Dim=6 V=Q^6 &Genus of the trace-forms: det= 1 = 1 2-adic symbol: 1^6_6 -1-adic symbol: +^6 -^0 level(of 2-scaled form)=4, weight=3 a_0,..,a_1 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 |Aut| = 2^10*3^2*5 #short vectors: 12