Output of /home/aschiem/Pgm/Hn/hn.debug --invar -t --shells-8 &K=Q(sqrt(-3)) &Hdim=4 V=K^4 &HNeighbourhood at <3,1+w> contains 1 classes: mass of the neighbourhood is 1/31104 Steinitz class <1,w>: &Hlattice (#1 <- #1) 1 0 1 0 0 1 0 0 0 1 |Aut| = 2^7*3^5 #short vectors: 24 216 888 1752 3024 7992 8256 14040 &Adjacence matrix (M_ij=#{neighbours of class i isometric to class j}): 48 classes of Z-lattices with respect to the trace form &Dim=8 V=Q^8 &Genus of the trace-forms: det= 81 = 3^4 2-adic symbol: 1^8_II 3-adic symbol: 1^4 3^4 -1-adic symbol: +^8 -^0 level=3, weight=4 a_0,..,a_2 determine modular form &Gram (#1 <- H1) 2 0 2 0 0 2 0 0 0 2 1 0 0 0 2 0 1 0 0 0 2 0 0 1 0 0 0 2 0 0 0 1 0 0 0 2 |Aut| = 2^11*3^5 #short vectors: 0 24