Output of /home/aschiem/bin/hn --invar -t --shells-6 --herm_lll3 0.8 &K=Q(sqrt(-10)) &Hdim=2 V=K^2 &HNeighbourhood at <2,w> (even classes) contains 1 classes: mass of the neighbourhood is 1/4 Steinitz class <2,w>: &Hlattice (#1 <- #3) <1> <2,w> 2 -1-1/2w 2 |Aut| = 2^2 #short vectors: 0 2 0 10 0 8 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= 100 = 2^2 *5^2 2-adic symbol: 1^2_II 2^2_II 5-adic symbol: 1^-2 5^-2 -1-adic symbol: +^4 -^0 level=10, weight=2 a_0,..,a_6 determine modular form 1-classes of trace forms &Gram (#1 <- H1) 2 1 4 1 -1 4 0 1 1 6 |Aut| = 2^4 #short vectors: 0 2 0 10 0 8