Output of hn --only_even -D5 &K=Q(sqrt(-1)) &Hdim=8 V=K^8 &HNeighbourhood at <2,-1+w> (even classes) contains 3 classes: mass of the neighbourhood is 61/35672555520 Steinitz class <1,w>: &Hlattice (#1 <- #1) 2 0 2 1 0 2 1 -w 1 2 1 -w 1 1 2 1 -w 1 1 1 2 1 -w 1 1 1 1 2 -w 1 0 0 0 0 0 2 |Aut| = 2^15*3^5*5^2*7 #short vectors: 0 480 &Hlattice (#2 <- #2) 2 1-w 2 -w 1-w 2 -w 1-w 1 2 -w 1-w 1 1 2 -w 1-w 1 1 1 2 -w 1-w 1 1 1 1 2 1 1 w w w w 1+w 4 |Aut| = 2^22*3^2*5*7 #short vectors: 0 480 0 61920 &Hlattice (#3 <- #3) 2 -1 2 1-w w 2 1 -1+w 1+w 2 0 0 0 0 2 0 0 0 0 1-w 2 0 0 0 0 1-w 1 2 0 0 0 0 1 1 1 2 |Aut| = 2^21*3^4*5^2 #short vectors: 0 480 &Adjacence matrix (M_ij=#{neighbours of class i isometric to class j}): 120 135 0 128 57 70 0 225 30