Output of /home/aschiem/Pgm/Hn/hn --invar -t --herm_lll2 0.0001 --shells-8 --herm_lll3 0.8 &K=Q(sqrt(-6)) &Hdim=2 V=K^2 &HNeighbourhood at <5,-2+w> contains 2 classes: mass of the neighbourhood is 1/4 Steinitz class <1,w>: &Hlattice (#1 <- #2) <2,w> <2,w> 1/2 0 1/2 |Aut| = 2^3 #short vectors: 0 4 4 4 16 4 16 20 &Hlattice (#2 <- #1) 1 0 1 |Aut| = 2^3 #short vectors: 4 4 0 4 8 4 16 20 &Adjacence matrix (M_ij=#{neighbours of class i isometric to class j}): 4 2 2 4 classes of Z-lattices with respect to the trace form (scaled by 1/2) one representative of each class &Dim=4 V=Q^4 &Genus of the trace-forms: det= 36 = 2^2 *3^2 2-adic symbol: [1^2 2^2]_0 3-adic symbol: 1^2 3^2 -1-adic symbol: +^4 -^0 level(of 2-scaled form)=24, weight=2 a_0,..,a_8 determine modular form &Gram (#1 <- H1) 2 0 2 0 0 3 0 0 0 3 |Aut| = 2^6 #short vectors: 0 4 4 4 16 4 16 20 &Gram (#2 <- H2) 1 0 1 0 0 6 0 0 0 6 |Aut| = 2^6 #short vectors: 4 4 0 4 8 4 16 20