Output of /home/aschiem/Pgm/Hn/hn.debug --invar -t --shells-6 &K=Q(sqrt(-3)) &Hdim=5 V=K^5 &HNeighbourhood at <3,1+w> contains 1 classes: mass of the neighbourhood is 1/933120 Steinitz class <1,w>: &Hlattice (#1 <- #1) 1 0 1 0 0 1 0 0 0 1 0 0 0 0 1 |Aut| = 2^8*3^6*5 #short vectors: 30 360 2190 7230 14976 32760 &Adjacence matrix (M_ij=#{neighbours of class i isometric to class j}): 120 classes of Z-lattices with respect to the trace form &Dim=10 V=Q^10 &Genus of the trace-forms: det= 243 = 3^5 2-adic symbol: 1^-10_II 3-adic symbol: 1^-5 3^-5 -1-adic symbol: +^10 -^0 level=3, weight=5 a_0,..,a_2 determine modular form &Gram (#1 <- H1) 2 0 2 0 0 2 0 0 0 2 0 0 0 0 2 1 0 0 0 0 2 0 1 0 0 0 0 2 0 0 1 0 0 0 0 2 0 0 0 1 0 0 0 0 2 0 0 0 0 1 0 0 0 0 2 |Aut| = 2^13*3^6*5 #short vectors: 0 30