Output of hn-2.8.6 --invar &K=Q(sqrt(-3)) &Hdim=15 V=K^15 Family contains 259 classes: mass of the family is 3619970721202756099/800584443422539776000 Steinitz class <1,w>: &Hlattice (#1 <- 0) 3 1-2w 3 2-w 1+w 3 -w 0 0 3 -1 0 -1 1-w 3 w -1+w w 0 0 3 -1 1-w -w 1 w 0 3 1 0 1 -1 -1-w -1 -1 3 0 -w -w w w -1+w 1 -w 3 2-w w 1 w -2+w 0 w 1-w 0 3 -1 1-w 1-w 1-w -1+w 0 1 0 -1+w 1-w 3 0 -1 -w -w 0 -1+w 0 1-w 1-w 0 -w 3 0 -w 0 1-w 0 -1 -w w 0 -1 0 w 3 -w 2-w 1-w -1 -w -1 w 1 -1+w 0 w 0 0 3 2-w 0 2-w -1+2w -1+w 0 -1+w 1-w 1 1 0 w 0 0 4 |Aut| = 2^9*3^7*5*7 #short vectors: 0 0 13320 &Hlattice (#2 <- 0) 3 w 3 1-w w 3 1-w 0 1 3 0 -1-w 0 1-w 3 1-w -w 0 0 w 3 -w -1 0 0 0 1-w 3 1-w 0 1 -1+w 0 0 0 3 1-w -1+w 1 w -w 1-w 1 1-w 3 1 1+w 1 1 -1 -1+w -w 0 1-w 3 1-w -1+w w 1-w 1-w 0 -w w 0 1 3 1-w 1-w 2-w 1 w 0 0 1-w 1-w 1-w 0 3 -w -1+w 1 w -w -1 1 1-w 1 w 0 0 3 -1 -1+w 0 0 1-w 0 -1 -w 0 0 1-w -w 1 3 1-w w 1 0 -w -1 -1 1 1-w 1 2-w 1 w w 3 |Aut| = 2^5*3^7 #short vectors: 0 0 13320 &Hlattice (#3 <- k15) 2 -1 2 -w 1 2 -w 1 1 2 -w 1 1 1 2 -w 1 1 1 1 2 -w 1 1 1 1 1 2 -w 1 1 1 1 1 1 2 -w 1 1 1 1 1 1 1 2 -w 1 1 1 1 1 1 1 1 2 -w 1 1 1 1 1 1 1 1 1 2 -w 1 1 1 1 1 1 1 1 1 1 2 -w 1 1 1 1 1 1 1 1 1 1 1 2 -w 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 1 1 1 1 1 1 1 1 1 1 1 5 |Aut| = 2^12*3^20*5^3*7^2*11*13 #short vectors: 0 1890 &Hlattice (#4 <- k9k6) 2 0 2 0 0 2 0 0 1 2 0 1-w 0 0 2 0 0 -w 1-w 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1 2 1 0 0 0 0 0 1-w 1-w 2 0 0 0 0 0 0 0 0 0 2 0 -w 0 0 1 0 0 0 0 0 2 0 0 -1 -1 0 1-w 1 0 0 0 0 2 0 -1+w 0 0 -1 0 0 0 0 w -w 0 2 0 -1 -w -w 0 1 0 0 0 -w 1 w -1+w 3 -w -1+w -w -w -1 1-w -w 1-w 1-w 0 -w 0 1 1-w 4 |Aut| = 2^12*3^19*5^2*7 #short vectors: 0 918 18828 715878 &Hlattice (#5 <- k7e7) 2 0 2 0 0 2 0 0 -w 2 0 1 1-w 0 2 0 0 0 0 0 2 0 0 0 0 0 1-w 2 0 0 0 0 0 1 1 2 0 0 0 0 0 1 1 1 2 0 1 1-w w 1 0 0 0 0 2 0 -w 1 0 0 0 0 0 0 0 2 1 0 0 0 0 1-w 1-w 1-w 1-w 0 0 2 0 1-w -w 1 1-w 0 0 0 0 1-w 0 0 2 0 -w 1 -1+w 0 1 1 1 1 0 1 w 0 3 -w 0 0 0 0 0 -1+w 0 0 0 0 -w 0 -1 3 |Aut| = 2^15*3^13*5^2*7^2 #short vectors: 0 756 17856 &Hlattice (#6 <- a15) 2 0 2 0 -w 2 0 -w 0 2 0 -w 1 0 2 0 -w 0 1 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1 2 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 1 1 1 2 0 0 0 0 0 0 1 1 1 1 2 0 0 0 0 0 0 1 1 1 1 1 2 -w -w 1 0 1 0 0 0 0 0 0 0 2 0 0 -1 0 0 0 0 0 1 0 0 0 0 2 -w -w 1 1 0 1 1 0 0 0 0 0 1 -1 3 |Aut| = 2^16*3^7*5^3*7^2*11*13 #short vectors: 0 720 17640 &Hlattice (#7 <- a14+) 2 0 2 1 0 2 0 1 0 2 0 1 0 1 2 0 1 0 1 1 2 0 1 0 1 1 1 2 -w 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 1 1-w 1 1-w 1-w 1-w 1-w 0 0 2 0 1-w 0 1-w 1-w 1-w 1-w 0 0 1 2 0 0 0 0 0 0 0 -1 0 0 0 2 0 w 1-w 0 0 0 0 0 -w 0 0 0 3 1 1-w 0 1-w 1-w 1-w 1-w -1+w 1 1 1 0 -1 3 -w -w -w 1-w -w 1-w 1-w 1 -w 1-w 1 -1 0 1-w 4 |Aut| = 2^12*3^7*5^3*7^2*11*13 #short vectors: 0 630 17100 &Hlattice (#8 <- a14-) 2 0 2 1 0 2 0 1 0 2 0 1 0 1 2 0 1 0 1 1 2 0 1 0 1 1 1 2 -1+w 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 1 w 1 w w w w 0 0 2 0 w 0 w w w w 0 0 1 2 0 0 0 0 0 0 0 -1 0 0 0 2 0 1-w w 0 0 0 0 0 -1+w 0 0 0 3 1 w 0 w w w w -w 1 1 1 0 -1 3 -1+w -1+w -1+w w -1+w w w 1 -1+w w 1 -1 0 w 4 |Aut| = 2^12*3^7*5^3*7^2*11*13 #short vectors: 0 630 17100 &Hlattice (#9 <- d9k5) 2 0 2 0 0 2 0 0 1 2 0 0 1-w 0 2 0 0 1-w 0 1 2 0 0 1-w 0 1 1 2 0 0 1-w 0 1 1 1 2 0 0 1-w 0 1 1 1 1 2 0 0 1 0 0 w w w w 2 1-w 0 0 0 0 0 0 0 0 0 2 0 0 -w 0 1-w 1-w 1-w 1-w 1-w -w 0 2 1-w -w -w 0 1-w 1-w 1-w 1-w 1-w -w 1 1 3 1 0 -w 1-w -w 1-w -w 1-w -w -w 1 1-w 1 4 1-w -w 1 0 0 w 0 0 0 1 1 0 1 w 4 |Aut| = 2^19*3^10*5^2*7 #short vectors: 0 612 16992 732402 &Hlattice (#10 <- a8k7) 2 0 2 0 0 2 w 0 0 2 1 0 0 1-w 2 w 0 -1 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 2 0 1 0 0 0 0 1-w 1-w 0 2 -1+w 0 0 0 0 w 0 0 -w 0 2 -1+w 0 -1 0 w w 0 0 1-w 0 w 3 w 0 -1 0 w 1 0 1 0 0 0 2-w 3 1-w 0 w -w 0 -w 0 0 0 0 -1 0 0 3 0 -w 0 1-w 1-w 0 1-w -w 0 1-w 0 0 -1 -1+w 4 |Aut| = 2^12*3^13*5^2*7^2 #short vectors: 0 594 16884 733374 &Hlattice (#11 <- k6k6k3) 2 0 2 0 1-w 2 0 0 0 2 0 0 0 -w 2 0 1-w 1-w 0 0 2 0 0 0 1 0 0 2 0 0 0 -w 1 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 1 2 0 0 0 -w 1-w 0 1-w 1-w 0 0 2 0 1 1 -w 1 w 0 1 1 0 w 3 0 -w 0 1-w w 1-w 1-w w 0 0 w 0 3 1 1-w 1-w 1 0 1 1 0 0 0 w 1-w w 3 1-w 1 w 0 0 0 0 0 -w 1-w 0 0 0 0 3 |Aut| = 2^11*3^17*5^2 #short vectors: 0 594 16884 733374 &Hlattice (#12 <- a5k5u5) 2 -w 2 1 -1+w 2 1-w 1 -w 2 0 0 0 0 2 -w 1-w -1 1-w 0 2 0 0 0 0 1-w 0 2 0 0 0 0 1 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 1-w 0 2 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0 0 0 0 1 0 1 2 1-w 1 1-w 1 1-w w 1 0 0 -1 0 0 3 0 0 0 0 0 0 -1 1-w -1+w 1 w 0 -1 3 0 0 0 0 w 0 0 0 -1 1 -1 -1 -1 w 3 |Aut| = 2^15*3^12*5^3 #short vectors: 0 540 16560 736290 &Hlattice (#13 <- a9u5) 2 1 2 1 1 2 1 0 0 2 1 1 1 0 2 1 0 0 1 0 2 -w -w -w 0 -w 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 1-w 2 1 0 0 1 0 1 0 0 0 2 1 1-w 1-w 1 1-w w w 0 0 w 3 0 0 0 0 0 0 0 -w 1-w 0 0 3 -w 1-w -w -w 1-w -1 w 0 0 -1 1 0 3 0 0 1 0 0 0 0 -w 0 0 0 -w -1 3 0 0 1 0 0 0 0 1 1 0 0 -1+w -1 1 3 |Aut| = 2^16*3^9*5^3*7 #short vectors: 0 540 16560 736290 &Hlattice (#14 <- e6u5k3) 2 0 2 0 -w 2 0 1-w w 2 0 0 0 0 2 0 0 0 0 1-w 2 0 0 0 0 1 1 2 0 1-w 0 1 0 0 0 2 -w 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 w 2 0 -w 1 1-w 0 0 0 0 0 0 2 0 1 0 w 1 1 1 w 0 0 0 3 0 0 0 0 0 -1 0 0 1 1 0 -1 3 0 -1 1-w -w -w 0 -1 -1 0 0 1 -1 0 3 -w -1 0 -w -1+w -1 -1+w -w 0 -w 1-w -1 0 1-w 4 |Aut| = 2^16*3^13*5^2 #short vectors: 0 540 16560 736290 &Hlattice (#15 <- a11k4) 2 0 2 0 1-w 2 0 1-w 1 2 1-w 0 0 0 2 0 0 0 0 0 2 1-w 0 0 0 0 1 2 1-w 0 0 0 1 0 0 2 1-w 0 0 0 1 0 0 1 2 1-w 0 0 0 1 0 0 1 1 2 1-w 0 0 0 1 0 0 1 1 1 2 1-w 0 0 0 1 0 0 1 1 1 1 2 1-w 0 0 0 1 0 0 1 1 1 1 1 2 0 1 1 0 0 0 0 0 0 0 0 0 0 2 1-w 1-w 1-w 1 0 1 1 0 0 0 0 0 0 1-w 3 |Aut| = 2^14*3^10*5^2*7*11 #short vectors: 0 504 16344 &Hlattice (#16 <- a8k6) 2 0 2 0 -w 2 0 0 0 2 0 0 0 0 2 0 0 0 1 0 2 0 0 0 1 0 1-w 2 0 0 0 1-w 0 0 1-w 2 1-w 1-w w 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 -w 0 0 -w 1-w 0 0 2 1 0 0 0 -w 0 0 0 0 0 0 2 -w -w 1-w 0 1 0 0 0 1-w -w 0 -1 3 0 0 0 1-w 1-w 0 1-w 1 0 w w w -w 3 0 1 0 1 -w 1-w 1 0 0 -w 0 1 0 0 4 |Aut| = 2^12*3^12*5^2*7 #short vectors: 0 486 16236 739206 &Hlattice (#17 <- d7e6) 2 0 2 1-w 0 2 -w 0 1-w 2 1-w 0 1 0 2 0 -w 0 0 0 2 0 1-w 0 0 0 0 2 0 0 0 0 0 0 0 2 1 0 w 0 w 0 0 0 2 0 0 0 0 0 1 0 1 0 2 1 0 1 w 0 0 0 0 1 0 3 1-w -w 1 w 1 0 1-w 0 1-w 0 1-w 3 1-w 1 0 0 1 0 w 0 1-w 0 1-w w 3 1 -w 1 0 1 0 1-w 0 1-w -1 1 1 0 4 1 1-w 0 0 0 1 w 1 1 1 1-w w 1 0 4 |Aut| = 2^18*3^8*5^2*7 #short vectors: 0 468 16128 740178 &Hlattice (#18 <- a11k3) 2 0 2 0 -w 2 0 -w 1 2 0 -w 1 1 2 0 -w 1 1 1 2 0 -w 1 1 1 1 2 0 -w 1 1 1 1 1 2 0 -w 1 1 1 1 1 1 2 0 -w 1 1 1 1 1 1 1 2 0 -w 1 1 1 1 1 1 1 1 2 0 -w 1 1 1 1 1 1 1 1 1 2 -w -w 1-w 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 -w 3 1 0 0 0 1 0 1 0 0 0 0 0 -1 0 3 |Aut| = 2^12*3^9*5^2*7*11 #short vectors: 0 450 16020 &Hlattice (#19 <- a9k5+) 2 0 2 0 0 2 0 0 1 2 0 0 1 1 2 0 0 1 1 1 2 0 0 1 1 1 1 2 0 0 1 1 1 1 1 2 0 0 1 1 1 1 1 1 2 1-w 1 0 0 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0 0 2 -w -w 1-w 0 0 0 0 0 0 1-w 1-w 3 0 0 1 1-w 1 1-w 1-w 1-w 1-w 0 w -1+w 3 1 0 1 0 1 1 1 1 1 0 0 -1+w 1 3 0 0 1 1-w 0 1-w 0 1-w 0 0 1 w 1 0 3 |Aut| = 2^12*3^10*5^3*7 #short vectors: 0 450 16020 741150 &Hlattice (#20 <- a9k5-) 2 1 2 1 1-w 2 1 1 1 2 0 0 0 0 2 1 1 1 1 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1 2 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 1 1 1 2 0 0 0 0 0 0 1 1 1 1 2 0 0 0 0 -1 0 1 0 0 0 0 2 0 -1 1-w 0 -w 0 0 0 0 0 0 0 3 -w 1-w 0 1-w 0 1-w 0 0 0 0 0 0 -1 3 1 0 1-w 1-w 1 1-w 0 0 0 0 0 -1 0 0 3 |Aut| = 2^12*3^10*5^3*7 #short vectors: 0 450 16020 741150 &Hlattice (#21 <- a8e6) 2 1 2 1 1 2 1 0 0 2 0 0 0 0 2 0 0 0 0 -w 2 0 0 0 0 0 0 2 1-w 0 1-w 1-w 0 0 0 2 -w 0 -w -w 0 0 0 1-w 2 0 0 0 0 1-w 0 1-w 0 0 2 0 0 0 0 0 0 w 0 0 -1+w 2 0 0 0 0 1-w w 0 0 0 0 0 2 1 0 1 1 0 0 1 w -1+w w 1-w -w 3 1 0 1 0 1 0 0 w -1+w w 0 0 1 3 -w 0 -w 0 0 0 1-w 1-w 1 0 0 0 -w -w 3 |Aut| = 2^15*3^9*5^2*7 #short vectors: 0 432 15912 742122 &Hlattice (#22 <- k6k3k3k3) 2 0 2 0 1-w 2 0 0 0 2 0 0 0 1 2 0 1-w 1-w 0 0 2 0 0 0 1 1-w 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 1-w 1-w 2 0 0 0 0 0 0 0 0 0 0 2 0 1-w 1-w -w 0 1 -w 0 0 0 -1+w 3 0 1-w 1-w 1-w 0 1 1-w 1 0 0 0 1+w 3 0 -w 1-w 1 1 1-w 1 0 0 0 0 1 1 3 -w -w 1-w 1-w 1-w 1-w 1-w -w 1-w 1-w 0 1 1-w 2-w 4 |Aut| = 2^9*3^18*5 #short vectors: 0 432 15912 742122 &Hlattice (#23 <- u5k4k4) 2 0 2 0 -w 2 1 1-w w 2 0 0 0 0 2 0 0 0 0 1-w 2 0 0 0 0 0 0 2 0 0 0 0 0 0 -1 2 -w -1 0 -w 0 0 0 0 2 1 -1+w -w 0 0 0 0 0 0 2 0 0 0 0 1-w 1-w 0 0 0 0 2 -w 1 -1+w 0 0 0 w 1-w 0 -w 0 3 0 0 0 0 -w -w 0 -w 0 0 1-w 0 3 -1+w -w 1 0 0 0 1 0 0 -1+w 0 1-2w -1 3 1-w 1 -1+w 1 0 1-w -1+w 1-w -1+w -w 1 1+w w -2+w 4 |Aut| = 2^15*3^13*5 #short vectors: 0 432 15912 742122 &Hlattice (#24 <- a7d7) 2 0 2 0 -1+w 2 0 -w 0 2 -1 0 0 0 2 0 0 0 0 0 2 -1+w -w -1+w 1 0 0 2 0 -1+w 1 -w 0 0 -w 2 0 0 0 0 0 0 0 0 2 0 -1+w 0 -w 1 0 -w 0 0 3 0 -1+w 1 0 1 0 -w 1 0 1 3 0 -w -1+w 1 0 -1 1 -1+w 1-w 0 0 3 0 -1 w 1-w 0 -w 1-w w 0 1 0 1 3 0 -1 w 1-w 0 1-w 1-w w 0 w w 0 1+w 3 0 0 -1+w -1 0 -w 0 0 0 1 -1+w w 1 1-w 3 |Aut| = 2^18*3^5*5^2*7^2 #short vectors: 0 420 15840 742770 &Hlattice (#25 <- d6k5a3) 2 0 2 0 0 2 0 0 1 2 0 0 1 1 2 0 0 1 1 1 2 0 0 -w 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 1 2 0 0 -w 0 -w 0 1 0 0 2 -w 1 0 0 0 0 0 0 0 0 2 1 0 -w 0 0 0 1 1 0 1 -1+w 3 1 0 1-w 1-w 1-w 1-w 0 -w 0 0 -1+w 1-w 3 1-w -w 0 0 0 0 0 1-w 1-w 0 0 1-w 1 3 0 0 -w 1-w 0 1-w 1 -w -w 1-w 0 1-w 1 1-w 3 |Aut| = 2^16*3^9*5^2 #short vectors: 0 396 15696 744066 &Hlattice (#26 <- a10a4) 2 0 2 0 -w 2 0 -w 1 2 0 -w 1 1 2 0 -w 1 1 1 2 0 0 0 0 0 0 2 0 -w 1 1 1 1 0 2 0 0 0 0 0 0 0 0 2 0 1 0 0 0 0 0 0 -1 3 0 0 0 0 0 0 -1 0 w 1-w 3 -1+w 1 -1 -1 -1 -1 0 -1 0 1-w 0 3 1 0 0 0 0 0 0 0 -1+w -w 0 -1 3 -w 0 0 0 0 0 0 0 1-w -1 -1-w 0 -1 3 0 1-w -1+w -1+w -1+w -1+w 0 -1+w 0 1-w 1-w 1-w 0 -1+w 3 |Aut| = 2^12*3^6*5^3*7*11 #short vectors: 0 390 15660 744390 &Hlattice (#27 <- a5k5k4) 2 0 2 0 0 2 0 -1 1-w 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 1 2 0 0 0 0 0 1 1 2 -w -1+w -w 1-w -1 0 0 0 3 1 1 w -1+w 0 -1 -1 -1 -1 3 1 1 w -1+w 0 w w w -1 2-w 3 1-w -1 1-w 1 -1 0 0 0 1+w -w -w 3 1 0 1-w 1 w 0 0 0 0 1-w 1-w 1 3 -w 0 1 w -1 0 0 0 1 1-w 1-w 1 w 3 -1 0 0 0 0 1-w 0 1-w 0 -1+w -1 -w -1 0 3 |Aut| = 2^11*3^12*5^2 #short vectors: 0 378 15588 &Hlattice (#28 <- a9a5+) 2 0 2 0 -w 2 0 -w 0 2 1 1 -1+w 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1 2 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 1 1 1 2 0 0 0 0 0 0 1 1 1 1 2 0 0 0 0 0 0 1 1 1 1 1 2 0 0 0 0 0 1 1 0 0 0 0 0 2 -w -w 1 1 -w 0 1 0 0 0 0 0 1 3 1 1 0 -1+w 1 0 1 0 1 0 0 0 1 w 3 |Aut| = 2^13*3^7*5^3*7 #short vectors: 0 360 15480 746010 &Hlattice (#29 <- a9a5-) 2 0 2 0 -w 2 0 -w 0 2 1-w 1-w 0 w 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1 2 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 1 1 1 2 0 0 0 0 0 0 1 1 1 1 2 0 0 0 0 0 0 1 1 1 1 1 2 0 0 0 0 0 1 1 0 0 0 0 0 2 -w -w 1 1 1-w 0 1 0 0 0 0 0 1 3 1-w 1-w w 0 1 0 1 0 1 0 0 0 1 1+w 3 |Aut| = 2^13*3^7*5^3*7 #short vectors: 0 360 15480 746010 &Hlattice (#30 <- a7d6) 2 0 2 1-w 0 2 0 -w 0 2 0 -w 0 1 2 0 -w 0 1 1 2 0 1-w 0 w 0 0 2 1-w 0 1 0 0 0 0 2 0 1-w 0 0 0 0 1 0 2 1-w -w 1-w 0 0 0 1-w 1 1-w 3 1-w 1 1 -1+w -1+w -1+w 0 1 0 1 3 -w 1 1-w -1+w 0 -1+w w 1-w 0 0 1-w 3 -w 1-w 1-w 0 0 0 1 1-w 1 1 1-w 1 3 -w 1-w 1-w w 0 w 1 1-w 1 1 1-w 2-w 1 3 1-w 1 1-w -1+w 0 0 w 1 0 1 2-w 1+w 1+w w 4 |Aut| = 2^17*3^5*5^2*7 #short vectors: 0 348 15408 746658 &Hlattice (#31 <- a6k5a3) 2 1-w 2 1 1 2 1 0 1-w 2 0 0 0 0 2 0 0 0 0 1 2 0 0 0 0 -w -w 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 -1+w 2 -w 0 -w 1-w 1 1 -1+w 0 0 3 1 0 1-w 1 1-w 1-w 0 1-w -1 0 3 -w 1-w 1-w 0 1 1 0 0 0 1 w 3 1 0 1-w 1 1 1 0 0 0 w 1+w 1 3 0 0 0 0 -1 -1+w 0 -w -1+w 0 -w -1+w -1 3 1-w 1 1-w 1-w -w 0 0 0 0 1 1-w 0 1-w w 3 |Aut| = 2^11*3^9*5^2*7 #short vectors: 0 342 15372 746982 &Hlattice (#32 <- a8a6+) 2 1 2 1 0 2 1 1 0 2 1 0 1 0 2 1 1 0 1 0 2 -w 0 -w 0 -w 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 w 0 0 0 0 0 2 -w -w 0 -w 0 -w 0 0 0 0 3 w 0 w 0 w 0 -1 1-w 1 0 0 3 1 1 1 1 1 0 -1+w -w 0 1-w 0 1-w 3 -w -w -w -w -w -w 0 0 -1+w 0 1 -1+w -w 3 1 1-w 0 1-w 0 1 0 0 0 -1 -1+2w 0 -w w 3 |Aut| = 2^12*3^7*5^2*7^2 #short vectors: 0 342 15372 &Hlattice (#33 <- a8a6-) 2 1 2 1 1 2 1 1 1 2 1 1 1 1 2 -w -w -w -w -w 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 -w -w -w -w -w 1 0 1-w 2 0 0 0 0 0 0 0 0 0 2 1-w 0 1-w 0 0 0 0 1 w -w 3 1 0 1 0 1 0 1 0 0 0 w 3 0 0 0 0 0 0 1-w 1-w 1 0 1-w 0 3 -w 1-w 0 -w 0 0 0 0 0 0 0 0 -1 3 0 0 0 0 0 0 1-w 1 w -1 1 0 w 0 3 |Aut| = 2^12*3^7*5^2*7^2 #short vectors: 0 342 15372 &Hlattice (#34 <- a8k4a2+) 2 0 2 0 0 2 0 0 0 2 -w 0 -w 0 2 0 1 0 1-w 0 2 0 0 0 0 0 0 2 1 0 -w 0 0 0 0 2 0 0 0 0 0 0 0 0 2 1 0 -w -w 0 1-w 0 1 0 3 1-w 1 0 0 0 1 -w 1-w 0 1 3 0 1 0 -w 0 1 -w 0 0 0 1 3 0 1-w 0 1 0 1 -1 0 0 -1+w 1-w 1-w 3 1-w -w 1 0 w -w 1 0 0 0 0 -1 -w 3 1-w -w -w 1 1 0 -w 1 -1 1 1 0 1 1-w 4 |Aut| = 2^12*3^10*5*7 #short vectors: 0 342 15372 746982 &Hlattice (#35 <- a8k4a2-) 2 1 2 -w -w 2 -w -w 1 2 -w -w 1 1 2 1-w 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 1 1 0 0 0 w 1-w 0 0 3 -w 1-w 0 0 0 1-w 1-w 0 -1 1-w 3 -w 1-w w 1 w -w 1 0 0 0 1 3 1 1 -1+w -1+w -1+w 0 1 -w 0 w w w 3 1-w 1-w w w w 0 1-w 0 0 1 1 1 2-w 3 1-w 0 0 0 0 1 1-w 0 0 1-w w 0 1-w 1-w 3 |Aut| = 2^12*3^10*5*7 #short vectors: 0 342 15372 746982 &Hlattice (#36 <- a8k5) 2 -w 2 1 -1+w 2 1 -1+w 1 2 1 -1+w 1 1 2 -w 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1 2 0 0 0 0 0 0 1-w 0 2 -w 1-w 0 0 0 1 0 0 0 3 1-w 0 1-w 1-w 1-w 0 0 -w -1+w 0 3 1-w 1 -w 1-w -w -1+w 0 0 0 -1+w 1 3 1 0 0 0 0 -1+w 0 w -w -1+w -1+w 1 3 1-w 0 1-w 0 0 w 0 0 0 1 0 0 0 3 -w 1-w -1 0 -1 w 1 0 w 1 1-w 2-w -w 0 4 |Aut| = 2^15*3^6*5^2*7 #short vectors: 0 336 15336 747306 &Hlattice (#37 <- k5d4d4) 2 0 2 1-w 0 2 0 0 0 2 0 1 0 0 2 0 0 0 1-w 0 2 0 1-w 0 0 0 0 2 1-w 0 1-w 1 0 0 0 3 -w 0 0 1-w 0 0 0 -w 3 -w 0 1-w 1-w 0 0 0 2-w 1 3 -w 0 0 0 0 0 0 0 1 -1+w 3 1-w -w 1-w 0 -w 0 0 1 0 0 w 3 -w 0 1-w 0 0 w 0 0 1-w 1-w w 1 3 1 -w 1 0 -w 0 0 w 0 w -w 1+w -1+w 3 1-w -w 1 1 1-w w 1-w w 1 w w 1+w 1+w 1 4 |Aut| = 2^17*3^10*5 #short vectors: 0 324 15264 747954 &Hlattice (#38 <- d6a5k3) 2 0 2 0 0 2 0 0 -w 2 1 1 0 0 2 0 0 0 0 0 2 0 0 -w 0 0 0 2 0 0 1 -1+w 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 1-w 0 0 0 0 0 0 2 1 0 0 0 1 -w 0 0 0 0 2 1-w 1-w 1-w 0 1-w 1 0 0 0 1 0 3 1 1-w 0 0 1-w 1-w 0 0 1 0 1 1 3 0 -w 1 -1+w -w 1 0 1 0 0 0 1 1 3 1 0 1 -1+w 1 0 0 1 1 0 1 w 1 1 3 |Aut| = 2^15*3^8*5^2 #short vectors: 0 324 15264 747954 &Hlattice (#39 <- a8k3a3) 2 -1+w 2 0 0 2 0 0 1-w 2 1 1-w 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1 2 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 1 1 1 2 0 0 0 0 0 0 1 1 1 1 2 1-w -w 1-w 1 1-w 1 0 0 0 0 0 3 1 1-w 1-w 0 1 0 -1 -1 -1 -1 -1 w 3 1 1-w 1-w 1 1 1 0 0 0 0 0 1+w 1 3 0 1 1 1 w 0 0 0 0 0 0 w w 1 3 |Aut| = 2^12*3^9*5*7 #short vectors: 0 306 15156 748926 &Hlattice (#40 <- a8a5+) 2 0 2 0 0 2 1 1-w 0 2 0 0 0 0 2 0 0 0 0 1 2 0 0 0 0 1 1 2 1 0 0 1 1-w 0 0 2 -w -1 0 -w -1 -1 -1 -w 3 1-w 1-w 0 1 0 0 0 0 w 3 0 -1+w -w -1 0 0 0 0 1-w -1 3 0 0 1 0 -w -w -w 0 w 1 -1+w 3 0 0 1-w 0 -w 1-w 0 1-w -1+w -1 0 0 3 0 0 1 0 1-w 0 0 1 -1+w 0 -1+w 1 w 3 0 -w 0 0 0 0 0 0 -1+2w w -1 w 1-w 1 3 |Aut| = 2^12*3^7*5^2*7 #short vectors: 0 306 15156 748926 &Hlattice (#41 <- a8a5-) 2 1 2 1 1 2 1 0 0 2 1 1 1 0 2 1 0 0 1 0 2 0 0 0 0 0 0 2 1-w 0 0 1-w 0 1-w 0 2 -w 1-w 0 -w 0 -w 0 1-w 3 1 1-w 1-w 1 1-w w 0 -1+w -1 3 1-w 0 0 1-w 0 1-w 0 1 w -w 3 0 0 0 0 0 0 1-w 0 0 0 -1+w 3 1-w 0 1-w 1-w 0 1-w 0 1 -1+w 1-w 0 w 3 -w 1-w -w 0 -w 0 1-w 0 1 0 -w w 0 3 -w 0 -w 0 -w 0 1 0 0 0 0 0 0 1+w 3 |Aut| = 2^12*3^7*5^2*7 #short vectors: 0 306 15156 748926 &Hlattice (#42 <- a7a6+) 2 -1+w 2 0 -w 2 0 -w 1 2 0 -w 1 1 2 0 0 0 0 0 2 1 -w 0 0 0 0 2 0 0 0 0 0 -1+w 0 2 0 0 0 0 0 w 0 0 2 0 1 0 0 0 w -1+w 1-w 0 3 0 -w 1 1 1 0 0 0 -w 0 3 -1 w 0 0 0 w -1 0 0 1 0 3 0 0 0 0 0 -1 0 w 0 -1+w 0 -1+w 3 0 w -1 -1 -1 -1+w 0 w 0 w -1 1+w 1-w 3 -1 0 0 0 0 w 0 0 1 -w w 2-w -1-w 1-w 4 |Aut| = 2^12*3^5*5^2*7^2 #short vectors: 0 294 15084 749574 &Hlattice (#43 <- a7a6-) 2 0 2 1 0 2 1 0 1 2 1 0 1 1 2 0 0 0 0 0 2 -w 0 -w -w -w 0 2 1 0 0 0 0 0 0 2 1 1-w 0 0 0 0 0 1 3 1 0 1 1 1 -w -1+w 0 0 3 -w 1 -w -w -w 1-w 1 0 0 -w 3 1 0 1-w 1 1 1 -1+w 0 w w -1+w 3 1 0 1-w 1 1-w 0 0 1 1 0 0 1 3 0 1 0 0 0 0 0 0 -1+w 1 w 0 -1 3 0 1-w 0 0 0 0 0 -1+w 0 0 0 0 -1 1 3 |Aut| = 2^12*3^5*5^2*7^2 #short vectors: 0 294 15084 749574 &Hlattice (#44 <- d5a4k4) 2 1-w 2 -w 0 2 1-w 0 0 2 0 0 0 0 2 0 0 0 0 0 2 1 0 -1+w 0 0 0 2 0 0 0 0 0 0 0 2 1-w 0 w 1 0 1 1-w 0 3 1 w 0 0 0 -w 1 -1 0 3 1-w 0 0 1 1-w 0 1-w 0 1 1-w 3 1-w 1-w w 0 0 -w 1-w 0 1-w 1-w 0 3 1 1 -1 0 0 0 1 -w -1+w 1 w w 3 1-w 1 0 1 1 0 0 0 1 1-w 1 w 0 3 1 0 -1+w 0 1-w 0 1 0 w 1 1 w 1-w 1 3 |Aut| = 2^14*3^7*5^2 #short vectors: 0 288 15048 &Hlattice (#45 <- a5a5k4) 2 -1 2 1 -1 2 -1 1 -1 2 0 0 0 0 2 0 0 0 0 -w 2 0 0 0 0 0 0 2 1-w -1+w 1-w -1+w 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 -1 -w -w 0 0 2 1 -1 1 -1 0 0 0 w 1-w 0 3 1-w -1+w 1-w -1+w w -w 0 1 -1+w 0 -w 3 0 -1+w 1-w -1+w 0 1 1-w 1 0 -1+w 1-w w 3 0 0 0 0 0 1-w -1+w 0 -w 0 0 w -w 3 -w 1 -1 1 1-w 1 0 -w -1 -1+w -1 0 -w 1 4 |Aut| = 2^12*3^9*5^2 #short vectors: 0 288 15048 749898 &Hlattice (#46 <- d5d5a3) 2 w 2 1-w -w 2 -w 0 1-w 2 0 0 0 0 2 0 0 0 -1 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 w 2 -1 -1 1-w 0 0 1-w 1 1-w 3 0 0 -1 -w 0 w 0 0 -1 3 -1 -1+w -w 1-w 1-w -1+w 0 0 0 w 3 0 1-w w 0 0 0 1 1-w w -w -1 3 0 1-w w 0 0 0 0 0 -1+2w -w 0 1 3 0 -1 -w -w 0 w 1 1-w 1 w 1 -w -w 4 0 0 -w 1 0 -w 0 0 1-w -1 -1+w 0 -w -1+w 4 |Aut| = 2^19*3^4*5^2 #short vectors: 0 276 14976 750546 &Hlattice (#47 <- a6a5k3) 2 0 2 0 1-w 2 0 0 0 2 1-w 0 0 0 2 1-w 0 0 0 0 2 1-w 0 0 0 0 1 2 1 0 0 0 w 0 0 2 0 0 0 -w 0 0 0 0 2 0 0 0 0 0 0 1 0 0 2 0 1-w 1-w -w 0 0 0 0 1-w 0 3 1-w 1 1 0 1 1 0 1-w 0 -1 w 3 0 1 w 1 0 0 0 0 -1+w 0 -1+w 1 3 -w 1 0 1 0 1-w 1-w 0 0 0 w 1-w 1-w 3 1-w 0 0 -w 1 1 1 0 0 0 1-w 1 0 0 3 |Aut| = 2^10*3^8*5^2*7 #short vectors: 0 270 14940 750870 &Hlattice (#48 <- a6k4a3) 2 -1 2 1 -1 2 -1 1 -1 2 0 0 0 0 2 0 0 0 0 -w 2 0 0 0 0 0 0 2 1 -1 1 -1 0 0 0 2 0 0 0 0 -1 -w 1 0 2 -w 0 0 0 0 0 0 0 0 3 -w 1 -w 1 0 0 0 -w 0 -1+w 3 0 0 0 0 1 w 0 0 -1 1 0 3 0 1-w w -w -1 1-w -1+w -1+w w 1 -w -w 4 0 1 -w w 0 0 0 -w 0 w 1 1 -1+w 4 -w -1+w 1-w -1+w -1+w -w 1-w 1-w 1-w 0 0 -2+w -2w -2+2w 4 |Aut| = 2^11*3^8*5*7 #short vectors: 0 270 14940 750870 &Hlattice (#49 <- a5k4k3a2) 2 0 2 0 0 2 0 0 0 2 0 0 0 1 2 0 0 0 0 0 2 0 1 0 0 0 0 2 0 0 0 0 0 1-w 0 2 0 0 -1 1-w 1-w 0 -w 0 3 1-w 0 -w 0 0 -w 0 1-w w 3 w 0 w 0 0 0 0 0 0 -2+w 3 -w 0 1 w w 0 0 0 -1+w 0 1-w 3 -w 0 w -w -1 -1+w 0 -1 -w -w 0 w 3 0 -w 0 0 0 0 -w 0 0 0 -1+w -1 0 3 1 0 1 -w -1 0 0 0 -w 0 0 -1+w 1 0 3 |Aut| = 2^10*3^11*5 #short vectors: 0 270 14940 750870 &Hlattice (#50 <- k4k4a2a2a2) 2 0 2 0 -w 2 0 0 0 2 0 0 0 0 2 0 0 0 0 1-w 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1-w 2 -w 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 w 2 1-w 1-w w 1-w 1 w 0 0 0 -w 3 1-w -w 0 0 1 0 0 0 1 1-w 1 3 1 0 0 0 0 0 1 0 0 1-w w 1 3 0 1-w 0 -w -w 0 1 0 0 0 1-w 0 1 3 0 1 -1+w 0 -w 1-w 1-w 1 0 0 0 0 1 1 3 |Aut| = 2^11*3^13 #short vectors: 0 270 14940 750870 &Hlattice (#51 <- k3k3k3k3k3) 2 0 2 0 0 2 0 0 1 2 0 1-w 0 0 2 0 0 1 1-w 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 -w -w 1-w 0 0 0 1 3 0 -w -w 0 0 -w 1-w 0 1 3 -w -w 1 0 1-w 1-w 0 0 0 w 3 0 -w -w 1-w 0 0 0 -w 2-w 1 0 3 0 0 1 0 0 1-w 1 1-w 0 w 1 -1+w 3 -w 0 -w 0 0 -w 0 1-w 1 1 1-w w 1-w 3 1-w 1-w 1 0 1-w 1-w 1-w 0 -1+w w 1+w -1+w 2-w w 4 |Aut| = 2^8*3^16*5 #short vectors: 0 270 14940 750870 &Hlattice (#52 <- a6a6a2+) 2 1 2 1 1 2 1 0 0 2 0 0 0 0 2 0 0 0 0 -w 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1-w 2 1-w 1-w 1-w 0 0 0 0 0 2 0 0 0 0 0 0 1 w 0 2 -w 0 -w -w -w 1 -w 0 0 0 3 1-w 1-w 1-w 0 -w 1 1 0 1 0 w 3 -w 1-w -w -w 1 0 0 0 0 0 1 0 3 -1 0 0 0 1 0 0 0 0 0 0 -1 1 3 1 1 1 0 1-w w -w 1-w w -w w w 0 0 3 |Aut| = 2^11*3^6*5^2*7^2 #short vectors: 0 270 14940 750870 &Hlattice (#53 <- a6a6a2-) 2 1 2 1 1 2 1 1 1 2 0 0 0 0 2 0 0 0 0 -w 2 0 0 0 0 0 0 2 1 1 1 1 0 0 0 2 1-w 1-w 1-w 1-w 1 0 -w 1-w 3 0 0 0 0 -w 1-w 1-w 0 0 3 1-w 0 1-w 0 -w 0 0 0 1-w 0 3 -1 0 0 0 0 -1+w 0 0 -1 -w -w 3 -w 0 -w 0 1 0 0 -w 1 0 0 0 3 1 1-w 1 1-w 0 0 1-w 1 w 1 -1+w 0 -2+w 3 1 0 0 0 1-w w -w 0 1 0 w -w 0 1-w 3 |Aut| = 2^11*3^6*5^2*7^2 #short vectors: 0 270 14940 750870 &Hlattice (#54 <- a7a4a3) 2 1 2 1 1 2 0 0 0 2 0 0 0 1 2 0 0 0 -w -w 2 0 0 0 0 0 0 2 1-w 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 -w -w -w 0 0 0 1 0 0 3 -w -w -w -w 1-w 0 1-w 0 0 1 3 1 1-w 1-w 1 1 0 0 0 0 -1+w -1+2w 3 -w 0 -w -w 0 0 0 1-w -1+w 1 1 -w 3 1 0 1 -w -w 1 0 w 0 0 0 0 -1+w 3 1-w 0 1-w 1-w 1-w w 0 0 0 0 w 1-w w 1 3 |Aut| = 2^14*3^5*5^2*7 #short vectors: 0 264 14904 751194 &Hlattice (#55 <- a6d5a2+) 2 1-w 2 -w 0 2 0 0 0 2 1 w -1+w 0 2 0 0 0 -w 0 2 0 0 0 1-w 0 0 2 0 0 0 1 0 -1+w 0 2 -w 1-w 0 -w -w 1 0 -w 3 1 w -1+w w 1 0 -1+w 0 -1+w 3 -1+w -1 -w 0 -1+w 0 0 0 -w -1+w 3 -w 0 1-w 0 -1+w 0 0 0 0 -1 w 3 -1+w -1 -1 0 w 0 0 0 -w -1+w 2-w 1-2w 3 0 0 0 -1+w 0 0 -1 0 0 1 0 0 -1+w 3 1 0 -1+w -1 1 1-w 0 -1 0 1 -w -1 0 1 3 |Aut| = 2^13*3^5*5^2*7 #short vectors: 0 264 14904 751194 &Hlattice (#56 <- a6d5a2-) 2 -w 2 -w 0 2 -w 1 1 2 0 0 0 0 2 -w 1 1 1 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 1-w 2 1-w w 0 0 0 0 1-w -1+w -1 3 -w 1 0 1 0 1 1-w 0 0 1 3 -w 1 0 1 1-w 1 -w 0 0 1-w 2-w 3 0 0 0 0 1 0 -w 0 0 1-w 1-w 1 3 1-w 1 -1+w 0 0 0 0 0 0 1 0 0 -1 3 1-w 1 0 1 0 1 1 0 0 w 1+w w 0 w 3 |Aut| = 2^13*3^5*5^2*7 #short vectors: 0 264 14904 751194 &Hlattice (#57 <- a6a6a1) 2 1 2 1 1 2 1 1 1 2 -w -w -w -w 2 1 1 1 1 -1+w 2 0 0 0 0 0 0 2 w w w w -1 w 0 3 0 0 0 0 0 -1 0 -1 3 1-w 1-w 1-w 1-w w 1-w -w -w 0 3 0 0 0 0 0 0 -w -1+w 0 w 3 -1 -1 -1 -1 1-w -1 w w 0 0 -w 3 0 -1 -1 -1 1-w -1 0 -1+w 0 -1 1 w 3 -w 0 0 0 0 0 -1 -1+w 0 1-w 1-w -1+w -w 3 0 0 0 0 0 0 w 0 -w -2+w -1+w w 1 -1 3 |Aut| = 2^10*3^5*5^2*7^2 #short vectors: 0 258 14868 &Hlattice (#58 <- d5d4k3a1) 2 1-w 2 -w 1-w 2 1 0 0 2 1 w 0 1 2 0 0 0 0 0 2 -w 1-w 0 0 -w -1+w 3 0 0 -1 1-w 1-w 0 1 3 1-w 1 w 0 1-w 0 w 0 3 1-w 0 0 0 0 0 w -1+w 1-w 3 -1 -w 0 -1 -1 0 1-w 1-w 0 0 3 0 0 0 0 0 0 1-w -w -1+w -1 0 3 1 w -1+w 1 1 0 0 1 -1+w -w -1 w 3 1 1 0 1 1 0 0 w 0 0 -1+w 0 1 3 0 0 0 0 1 0 -1 w w 0 1 -w w 1-w 4 |Aut| = 2^16*3^7*5 #short vectors: 0 252 14832 751842 &Hlattice (#59 <- a5a5d4) 2 0 2 0 1 2 0 1 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 -w 0 2 0 0 0 0 -w 0 1 2 0 0 0 0 -w 0 1 1 2 0 0 0 0 -w 0 1 1 1 2 0 -w 0 -w 0 0 0 0 0 0 2 1-w 1 1 0 -w 1 1 1 1 1 0 3 1 1 1 1 0 1-w 0 0 0 0 -1+w 1 3 -w 0 0 0 1-w 1 w 0 w 0 0 1 0 3 -w 1 1-w 0 1-w 1-w 1 0 0 0 0 2-w 1-w 2-w 4 |Aut| = 2^16*3^7*5^2 #short vectors: 0 252 14832 751842 &Hlattice (#60 <- a7a4a2) 2 1 2 1 1 2 1 1 1 2 -w -w -w -w 2 w w w w -1 2 w w w w -1 w 3 1 1 1 1 -1+w 1-w 1-w 3 0 0 0 0 0 -w -1+w -1 3 -w 0 0 0 0 -w -1+w 0 w 3 0 0 0 0 0 0 0 1 -1 -1+w 3 0 0 0 0 0 0 0 2-w -1+w 1-w -w 3 1 1 1 1 -1+w 1-w 1-2w 2-w -1+w 0 1-w 1 3 0 0 0 0 0 1-w 0 0 w 1 0 0 w 3 -w -w -w -w 1 -1 -1 -1 0 1 0 -1+w 0 1 3 |Aut| = 2^12*3^5*5^2*7 #short vectors: 0 246 14796 752166 &Hlattice (#61 <- d5a4a4) 2 0 2 0 1-w 2 0 -w 1-w 2 0 1-w 0 0 2 0 1 w 0 w 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1-w 2 0 -w 0 1 1-w 0 1 w 3 1 1-w 1 0 0 1-w 0 0 0 3 0 1 1 w w 1 0 0 -1+w 0 3 -w -w 0 0 1-w -w -w 1-w 1-w 1-w -1 3 1-w 1-w 0 0 1 1-w 0 0 0 1-w 1-w w 3 -w 1 0 0 w 1 -w 0 0 0 1-w w w 3 1-w 1-w 1-w w 1 -w -w 1-w 0 1-w 1-w 1+w 1 1 4 |Aut| = 2^14*3^4*5^3 #short vectors: 0 240 14760 752490 &Hlattice (#62 <- d5a4a4) 2 1 2 1 0 2 1 1 1 2 0 0 0 0 2 0 0 0 0 1-w 2 0 0 0 0 1-w 0 2 -w 0 -w -w 0 0 0 2 0 0 0 0 0 0 0 0 2 1 1-w 0 1-w 0 0 0 0 0 3 -w -w -w -w 1-w 0 1 1 0 1 3 1-w 0 1-w 1-w 1-w 1-w w w 0 0 w 3 -w -w -w -w 1 0 w 1 0 0 1+w 1 3 1-w 1-w 1-w 1-w -w 0 1-w 0 -1+w 1 1 1-w 0 3 1 1 0 1 1-w 1 0 0 0 1 0 w 0 w 3 |Aut| = 2^15*3^4*5^3 #short vectors: 0 240 14760 752490 &Hlattice (#63 <- a7a3a3) 2 -w 2 -w 0 2 -w 0 1 2 -w 0 1 1 2 -w 0 1 1 1 2 -w 0 1 1 1 1 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 2 -w 0 1 1 1 1 1 1-w 1-w 1-w 1-w 3 1 0 0 0 0 0 0 0 0 0 1-w 0 3 1-w 1 0 0 0 0 0 -w 1-w 0 -w 1-w 2-w 4 -w 1-w w 0 1 1 1 1-w 0 0 -w 1 1-w 1 4 |Aut| = 2^15*3^5*5*7 #short vectors: 0 240 14760 752490 &Hlattice (#64 <- a5k4a2a2) 2 0 2 0 1-w 2 0 0 0 2 -1+w 0 0 0 2 -1+w 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1 2 1 -1 0 0 0 -w -w 0 3 1 -1+w -1 0 0 1-w 0 0 1 3 1 0 0 0 0 0 0 0 0 1+w 3 w 1-w 1 1 1-w 0 0 0 0 -1 -1+w 3 1 -1+w 0 0 0 -w 0 0 2-w 1 w 0 3 0 -1 0 1 0 1-w 0 0 1 1 0 0 1+w 3 0 0 -1 -w 0 0 -w -w 0 0 0 -w -1 -1 3 |Aut| = 2^10*3^9*5 #short vectors: 0 234 14724 752814 &Hlattice (#65 <- a4a4k4a1) 2 -1+w 2 w 1-w 2 -1 -1+w 0 2 0 0 0 0 2 0 0 0 0 w 2 0 0 0 0 0 0 2 0 0 0 0 0 0 -1+w 2 -1+w 0 w 1 0 0 0 0 3 0 1 0 -w w 0 0 0 0 3 -1+w 0 w 1 -w 0 0 0 1 -1 3 w 0 1 1-w 0 0 w 1-w 2-w w 1-w 3 w 1-w 1-w -w -1+w w 0 0 -w 1 -w 1-w 3 0 0 0 0 -1 0 1-w -1 0 0 1-w -w 0 3 -1 w -1+w 0 1 -w 0 0 0 1-w -1+w -1 -1 -w 3 |Aut| = 2^11*3^7*5^2 #short vectors: 0 234 14724 752814 &Hlattice (#66 <- a6a5a2) 2 0 2 0 0 2 0 0 -w 2 0 0 -w 1 2 0 0 -w 1 1 2 0 0 -w 1 1 1 2 -w 0 0 0 0 0 0 2 -1 0 0 0 0 0 0 1-w 2 1 0 0 0 0 0 0 -1+w -1 2 -1 1-w 1-w 0 0 0 0 1-w 1 -1 3 0 1 -1+w 0 0 0 0 0 0 0 -1+w 3 0 -1 0 -1 -1 -1 -1 0 0 0 1-2w -1+w 3 0 0 0 0 0 0 0 1-w 1 0 1 -1 -1+w 3 -1+w -w 0 0 0 0 0 -1 -w w 1-w -w -1+w 0 3 |Aut| = 2^10*3^6*5^2*7 #short vectors: 0 234 14724 752814 &Hlattice (#67 <- a6a5a2+) 2 0 2 0 1-w 2 1-w 1-w 0 2 0 -w 0 1-w 2 0 -w 0 1-w 1 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1 2 1 -w 0 1 1 1 0 0 3 -w 1-w 1-w 1 w w 0 0 0 3 -w -w 1-w 1-w 1 1 0 0 0 2-w 3 1 1-w 0 1 w w -1 -1 w 0 w 3 -w 1 1 0 -1 -1 0 0 -1 w 0 0 3 -w 1-w 1 1-w 0 0 0 0 -w 1 w 0 1 3 1-w 1-w 0 1 w w 1-w 0 0 1 w 1 0 1 3 |Aut| = 2^10*3^6*5^2*7 #short vectors: 0 234 14724 &Hlattice (#68 <- a6a5a2-) 2 0 2 1 0 2 1 0 1 2 1 0 1 1 2 -w 0 -w -w -w 2 0 0 0 0 0 0 2 0 -w 0 0 0 0 1 2 0 -w 0 0 0 0 0 0 2 1-w 0 0 0 0 0 0 0 1-w 3 -w 0 -w -w -w 1 1-w 1-w 0 0 3 0 1 0 0 0 0 1-w 0 0 w 1-w 3 -w 1 0 -w 0 0 0 0 -1+w -w 1 w 3 -w 0 1-w 0 1-w 0 0 0 0 1-w w -1 0 3 -w 0 0 -w -w 1 1 1 0 0 1+w w 1 0 3 |Aut| = 2^10*3^6*5^2*7 #short vectors: 0 234 14724 &Hlattice (#69 <- a5a5k3+) 2 0 2 0 1 2 0 1 1 2 0 1 1 1 2 0 -1+w -1+w -1+w -1+w 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1 2 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 1 1 1 2 0 0 0 0 0 0 1 1 1 1 2 1-w 1-w 1-w 1-w 1-w -1 -1 -1 -1 -1 -1 3 -w -w -1 -1 -1 w 0 0 0 0 0 1-w 3 0 0 0 0 0 0 0 0 0 0 0 -w -w 3 0 -1 -w 1-w 1-w 0 -1+w -1+w -1+w -1+w -1+w 1-w -1 0 4 |Aut| = 2^11*3^8*5^2 #short vectors: 0 234 14724 752814 &Hlattice (#70 <- a5a5k3-) 2 0 2 0 1 2 0 1 1 2 0 1 1 1 2 0 1 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1 2 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 1 1 1 2 0 0 0 0 0 0 1 1 1 1 2 1-w -w -w -w -w 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 -w 3 1-w 1-w 1-w 1-w 1-w 0 -w 0 0 0 0 1 w 3 0 1 1-w 0 1 1 1-w 0 0 0 0 -1+w 0 w 3 |Aut| = 2^11*3^8*5^2 #short vectors: 0 234 14724 752814 &Hlattice (#71 <- d5a3a3a3) 2 1 2 0 0 2 0 0 1 2 0 0 1 1 2 0 0 -w -w -w 2 0 0 0 0 0 0 2 0 0 1-w 0 1-w 0 0 2 0 0 0 0 0 0 1 0 2 -w -w 0 0 0 0 1-w 0 1-w 3 0 1 -w 0 0 0 0 1-w 0 -1 3 1 0 0 0 0 0 1 0 1-w 0 0 3 1-w 0 1-w 0 1-w w 0 1 0 0 w 1-w 3 0 1-w 0 0 0 0 1 0 1 1+w 0 w -1+w 3 1 1 1-w 0 1-w 0 1-w 1 0 -1+w 1 1-w 1 0 3 |Aut| = 2^17*3^6*5 #short vectors: 0 228 14688 &Hlattice (#72 <- a6a4a3+) 2 1 2 0 0 2 0 0 1 2 0 0 1 1 2 0 0 -w -w -w 2 0 0 0 0 0 0 2 -w 0 0 0 0 0 0 2 1-w 1-w 0 0 0 0 0 0 2 -w -w 0 0 0 0 0 0 1-w 3 -w -w -w -w -w 1 0 1 1-w w 3 1 0 -w -w -w 1 0 0 w -1+w 1 3 1 0 -w 0 0 0 0 0 w 0 0 1 3 -w -w 1 0 1 0 0 0 1-w 2-w 0 -1 0 3 1 1 1-w 1-w 1-w w 1-w 0 w -1 -1+2w w 1 0 3 |Aut| = 2^11*3^5*5^2*7 #short vectors: 0 222 14652 753462 &Hlattice (#73 <- a6a4a3-) 2 1-w 2 1 0 2 1 0 1 2 1 0 1 1 2 1-w 0 1-w 1-w 1-w 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 -w 0 -w -w -w 1-w 0 0 3 1-w 1-w 0 0 0 0 1 0 0 3 1 w 0 0 0 0 1 0 -1+w w 3 -w 1-w -w 0 0 0 1 0 0 1 1-w 3 -w 1-w -w 0 -w 0 0 w 1 0 -w 1 3 1-w 0 1-w 1-w 1-w 1 1 0 w 1-w 0 0 w 3 1-w 1 1-w 0 0 0 -w 0 -1+w 0 1-w w w -w 3 |Aut| = 2^11*3^5*5^2*7 #short vectors: 0 222 14652 753462 &Hlattice (#74 <- k4a3a3a3) 2 -w 2 1-w w 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 1-w 0 2 0 0 0 1 0 0 0 2 -w 0 1-w 0 1 1-w w 0 3 1 0 0 1 1-w 0 1 0 0 3 1 -1+w 0 0 1 1-w 0 0 1 1 3 1 -1+w 0 -w 0 0 0 1-w 0 0 1 3 1 -1+w 0 0 -w 1 1-w 0 0 1-w 1 1 3 -w 1-w 0 0 1-w 0 1-w 0 0 1-w -w -w 0 3 0 0 0 0 0 1 0 1-w 0 -1 0 0 1 0 3 |Aut| = 2^14*3^9 #short vectors: 0 216 14616 753786 &Hlattice (#75 <- d4k4a2a2) 2 1 2 1-w 1-w 2 0 0 0 2 0 0 0 0 2 0 0 0 0 1 2 1-w 0 1 0 0 0 2 1 1-w w -w 0 0 w 3 -w 0 1-w 1-w 0 0 1-w 0 3 1 1-w 1 1 0 0 0 1 w 3 -w 1-w 0 0 0 0 -w 0 1-w 0 3 1 0 0 1-w 0 0 0 1 1 2-w 0 3 1-w 0 0 -w 0 0 1 1-w 1 -w -1+2w 1-w 3 0 0 0 0 -w 1-w 0 0 0 0 -w 0 -1 3 -w 0 0 0 1 0 1-w -w 0 -1 1 -w 1-w -1+w 3 |Aut| = 2^13*3^10 #short vectors: 0 216 14616 753786 &Hlattice (#76 <- k4k3a2a2a2) 2 0 2 0 0 2 0 0 -w 2 0 0 0 0 2 0 0 0 0 0 2 1 0 0 0 0 0 2 0 -w 1 0 -1+w 0 -w 3 0 0 1-w 1 -1+w 1-w 0 1 3 0 -1+w 1-w -1+w 1 0 0 1-2w -w 3 0 -1+w 0 1 0 1 0 0 w 0 3 -w 0 1-w -1+w 0 0 -w 1-w 0 1 -1+w 3 0 -w 1-w 0 -1 0 0 1 1 -1+w -1+w 1 3 0 -w 0 1 -w 0 0 w w -1 1 -w w 3 0 -w w -1 -w 0 0 w -1+w -1+w -1+w w w w 3 |Aut| = 2^9*3^13 #short vectors: 0 216 14616 753786 &Hlattice (#77 <- a5k3k3a2) 2 0 2 0 0 2 0 0 1 2 0 0 0 0 2 1 1 0 0 0 2 0 0 1-w 1 0 0 2 0 0 0 0 0 0 0 2 1-w -1 0 0 1-w 0 0 0 3 -w -w 0 0 1-w -w 0 0 1 3 -w -w 0 0 1-w -w 0 0 1 1+w 3 0 0 0 -w 0 0 -w 1-w 0 -1 0 3 1 -1+w 0 1-w 0 0 1-w 0 0 0 -w w 3 0 0 0 1 0 0 1-w 1-w 0 1-w -w w 1 3 1 0 1-w 1-w 0 1 1-w 0 1 0 0 w 1 1 3 |Aut| = 2^9*3^11*5 #short vectors: 0 216 14616 753786 &Hlattice (#78 <- a6k3a2a2) 2 -w 2 1-w 0 2 1-w w 0 2 1 0 w 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 -w 1 0 1-w 0 0 0 0 2 -1+w -1 -1 0 -1+w -1 0 0 0 3 1-w 1 w 1-w 1 0 -1+w 0 1 -1 3 -w 1-w 0 1-w 0 1 1 0 1 -1+w 1-w 3 0 w 0 0 0 0 0 0 0 -w -1+w -1 3 -1+w -w 0 -1 0 -1+w 0 0 -w 1 -w -1 0 3 0 -1+w 0 0 0 0 0 -1 0 1-w 0 -w w -1 3 |Aut| = 2^9*3^8*5*7 #short vectors: 0 216 14616 &Hlattice (#79 <- a6d4a2) 2 0 2 0 0 2 0 1-w 0 2 0 1 0 w 2 -w 1-w 0 1 1-w 2 0 0 0 0 0 0 2 0 -w -w 0 0 0 0 3 1 -w 0 0 0 0 0 1 3 0 -w 0 1-w -w 1-w 0 1-w 0 3 1-w 1 0 1 0 w 0 0 0 w 3 0 1-w 1-w 0 0 0 0 1+w 1 0 1-w 3 0 1 1-w w 1 w 1-w -1+w 0 -1+w 0 0 3 1 1 0 w 1 w 1-w 0 w -1+w w 0 1 3 1 -w 0 0 0 0 -w 1 2-w w 0 1-w 1-w 1-w 3 |Aut| = 2^12*3^6*5*7 #short vectors: 0 216 14616 753786 &Hlattice (#80 <- a5a5a3) 2 -1 2 1 0 2 1 -1 0 2 0 0 0 0 2 0 0 0 0 -w 2 0 0 0 0 0 0 2 w 0 w 0 0 0 0 3 1 -w 1 1 0 0 0 1 3 1-w -1+w 1-w 1-w 0 0 1 0 1-w 3 0 0 0 1 0 0 -w -1 0 0 3 0 0 0 0 -1 1-w -w -1+w 0 -w 1-w 3 w 0 w 0 1-w 0 1-w w w 0 0 w 3 -w w -w 0 1 -1+w 0 -1+w 0 1-w 0 0 0 3 w 1-w w -1+w 1-w w 0 1-w w -1 -1+w -1+w 1 -w 3 |Aut| = 2^12*3^6*5^2 #short vectors: 0 216 14616 753786 &Hlattice (#81 <- a5a5a3+) 2 w 2 w 1 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 1 2 0 0 0 0 0 -w -w 2 -w -1 -1 0 -1 0 0 0 2 1-w -w 0 0 -w -1 -1 1-w w 3 0 1-w 0 -w 0 0 0 0 0 w 3 0 0 0 1-w w 1-w 0 0 0 -1 -1+w 3 0 0 -1+w 0 w 0 0 0 -w -1+w 0 0 3 0 0 0 -w 0 -1 -1 1-w 0 0 0 1-w w 3 -1 -1 -1 0 0 w w -1 1-w -w 1-w -1 w -w 3 |Aut| = 2^13*3^6*5^2 #short vectors: 0 216 14616 753786 &Hlattice (#82 <- a5a5a3-) 2 1 2 1 1 2 1 0 0 2 0 0 0 0 2 0 0 0 0 -w 2 0 0 0 0 0 0 2 1 0 1 1 0 0 1-w 3 -w 1-w 1-w -1 0 0 1 0 3 1 0 1 0 0 0 -w 2-w 0 3 1-w 0 0 1-w -w 0 -w 1-w 0 1 3 -w 1-w -w 0 1-w w 0 0 1 -1 0 3 -w 0 -w -w -w 1 0 -w 0 -w 1-w 1 3 -w 0 0 -w 1-w 0 -w 1-w 0 0 1 1 1 3 1 0 1 0 1 0 0 1 -1+w 1 -1+w -1+w -1+w w 3 |Aut| = 2^13*3^6*5^2 #short vectors: 0 216 14616 753786 &Hlattice (#83 <- a6a4a2a1+) 2 1 2 1 1 2 1 1 1 2 1 1 1 1 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 -w -w 3 -w -w -w -w -w -w 0 1-w 3 1-w 0 1-w 0 0 1-w 0 0 w 3 0 w 0 w 0 0 0 0 -1 1-w 3 -w -w -w -w -w -w -1 2-w 1+w 1-w 0 3 1 0 0 0 0 1-w 0 0 w w -1 0 3 0 1 w 0 0 0 1 -1+w 0 -1 -w -1 0 3 1 0 0 0 0 0 0 1-w w 1 0 1 w -1+w 3 |Aut| = 2^10*3^5*5^2*7 #short vectors: 0 210 14580 754110 &Hlattice (#84 <- a6a4a2a1-) 2 0 2 0 0 2 0 0 -1 2 0 0 0 0 2 0 0 0 0 0 2 1-w 0 0 0 0 0 2 0 0 0 0 1 1-w 0 2 0 1 0 0 1 -w 0 1-w 3 1 -1 0 0 -w -1 0 -w -w 3 -w 0 0 0 1 0 1-w 1 0 0 3 -1+w w 0 0 -1+w 0 -1 -1+w -1+w -w 0 3 0 0 1 -1 -1 0 0 0 -1+w 1-w -w 0 3 0 1 -1 1 0 0 0 0 1-w -1 -1+w 0 -1-w 3 -1 -1+w -1+w 1-w -w -1+w -w -w -1 1-w 1-2w -1+2w w 0 4 |Aut| = 2^10*3^5*5^2*7 #short vectors: 0 210 14580 754110 &Hlattice (#85 <- a5a4a4+) 2 1 2 0 0 2 0 0 1 2 0 0 1 1 2 0 0 1 0 0 2 0 0 0 0 0 0 2 0 1-w 0 -1+w -1+w 0 0 3 1 1-w 1-w 0 0 1-w 0 1 3 1 0 -w 0 0 -w 0 1-w 1-w 3 -w 0 -w 1-w 1-w -w 0 -1 -w 1-w 3 0 0 1 1-w 1 1 0 -1 0 -1+w w 3 1-w 0 -w 0 -w 0 -1+w 0 1-w 1-w w -1 3 1 1 1-w 0 1-w 1-w 0 0 1 w w 1-w w 3 1 1 -w 0 0 -w 0 1 1 1 w -1 1 1 3 |Aut| = 2^11*3^5*5^3 #short vectors: 0 210 14580 754110 &Hlattice (#86 <- a5a4a4-) 2 1 2 0 0 2 0 0 1 2 0 0 1 1 2 0 0 -w -w -w 2 1 1 0 0 0 0 2 0 0 0 0 0 0 -1 2 -w -w 1 1 1 -1+w -w 0 3 1-w 1-w 0 0 0 0 0 1-w 1 3 0 0 w w w -1 0 0 -1+w -1 3 -1+w -1+w 0 1-w 0 0 0 -1+w 1-w -1 -1 3 0 0 w 0 0 0 0 -w 1 1 0 0 3 0 1-w -1+w -1+w -1+w -w -w 1 w w w -w w 3 0 0 -1+w w -1+w -w 0 0 w 0 0 w 0 1 3 |Aut| = 2^11*3^5*5^3 #short vectors: 0 210 14580 754110 &Hlattice (#87 <- a5d4a3a1) 2 1 2 -w 0 2 0 0 0 2 0 0 0 0 2 0 0 0 0 1 2 0 0 0 0 0 0 2 1 1 0 0 0 0 0 3 -w -w 1 1 1 0 0 1-w 3 1 1 0 1-w 1 0 0 1 1 3 1-w 0 0 0 -w 0 -1+w -w -w -w 3 0 0 0 1-w 1 0 1 w 1 1 -1 3 1 1-w -1 0 1-w 0 0 1 0 1-w w 1-w 3 1 0 0 0 1-w 1-w 0 w 0 1 w 0 1 3 1 1-w -1+w 0 0 0 -1 0 -1+w 0 w -1 1 w 3 |Aut| = 2^15*3^5*5 #short vectors: 0 204 14544 754434 &Hlattice (#88 <- a6a3a2a2) 2 1 2 1 1 2 -1 -1 -1 2 1 1 1 -1 2 0 0 0 0 0 2 0 0 0 0 0 1-w 2 0 0 0 0 0 0 0 2 0 0 w 0 0 0 0 0 2 -w -w -w w -w 0 0 0 0 3 1 1 1 -1 1 1 w 0 1-w w 3 1 1 1 -1 1 0 1 0 0 -1 1-w 3 1-w -w -w w -w 0 -1+w 0 0 1 0 -1 3 0 0 0 0 0 1 -1+w -w 0 0 w -1 1 3 0 1-w 0 -1 1 -1 1-w -1+w 0 0 1-w 1 -1 -1-w 4 |Aut| = 2^10*3^6*5*7 #short vectors: 0 198 14508 754758 &Hlattice (#89 <- a5a5a2) 2 1 2 0 0 2 0 0 0 2 0 0 -w 0 2 0 0 1 0 -1+w 2 0 0 1 0 -1+w 1 2 -w 0 0 0 0 0 0 3 1 1 0 0 0 0 0 1 3 1-w 1-w 1-w 1-w w 1-w 1-w w 1 3 -1 0 0 w 0 0 0 -w -w -1 3 0 0 -w 1 1 -w -w 0 w 1 0 3 -w 1-w 1 0 0 1 0 1-w 1-w 1 w 0 3 1 0 1-w 0 w 1-w 1-w 0 1-w 1 -1 w 0 3 1 1 -w 0 1-w -w -w w w 1 -1 1 0 1-w 3 |Aut| = 2^11*3^7*5^2 #short vectors: 0 198 14508 &Hlattice (#90 <- a5a5a2+) 2 -w 2 -w 1 2 0 0 0 2 0 0 0 0 2 -w 1 1 0 0 2 1 0 0 1-w 0 0 3 1 -1+w -1+w 0 -w -1+w 0 3 0 0 0 -w 1-w 0 1-w 0 3 -w 1-w 1-w 1 0 1-w 1 -1 -1+w 3 -w 1-w 0 0 0 1 -w -w 1-w 0 3 -w 0 0 1-w -w 0 1-w 1-w 1 1-w 1 3 1-w 0 0 -w -w 0 2-w 0 1-w 1 0 1 3 0 0 0 0 -w 0 w 0 0 1 -1 0 1 3 1-w 1 1 1 0 1 1+w -w -1+w 1+w w -1+2w w 1-w 4 |Aut| = 2^11*3^6*5^2 #short vectors: 0 198 14508 &Hlattice (#91 <- a5a5a2-) 2 1 2 1 1 2 1 0 0 2 0 0 0 0 2 0 0 0 0 -w 2 0 0 0 0 0 0 2 0 1-w 0 0 0 0 0 3 w 1 w w 0 0 0 1+w 3 0 w 0 0 1-w 0 1-w -2+w -1+w 3 0 0 0 1 0 0 -w -1+w 0 1-w 3 0 -1+w 0 0 1 -1+w 0 -1+w 0 w 0 3 -1+w 0 -1+w -1 1-w w 0 1-w 0 0 -1 -w 3 0 0 0 0 0 1-w -1 0 0 0 -w 0 0 3 -1+w w -1+w 0 -w 0 1 -1+w w 2-w w -w 1 -1-w 4 |Aut| = 2^11*3^6*5^2 #short vectors: 0 198 14508 &Hlattice (#92 <- a5a3k3a2+) 2 1 2 0 0 2 0 0 0 2 0 0 -w 0 2 0 0 0 0 0 2 0 0 0 0 0 1-w 2 1-w 1-w 1 0 -1+w 1-w 0 3 -w 0 1-w 0 1 1 w 1-w 3 1 0 1 0 -1+w 1 w 1 w 3 1-w 1-w -w 1-w 1-w 0 0 0 1-w -w 3 0 0 1-w 0 1 1-w 1 1-w 2-w 1-w w 3 -w 0 0 -w 0 -w 1-w 1-w 1-w -w 1-w 1-w 3 0 0 1-w 0 1 1 0 0 1 1-w w 1 -1 3 -w -w 0 1 0 0 0 0 0 -w 1 -1 0 0 3 |Aut| = 2^10*3^8*5 #short vectors: 0 198 14508 754758 &Hlattice (#93 <- a5a3k3a2-) 2 w 2 0 0 2 0 0 0 2 0 0 0 0 2 0 0 0 0 -1+w 2 0 0 w 0 0 0 2 1-w -w 1 0 0 0 -w 3 -w -1 0 0 0 0 -1 2-w 3 -w -1 1 0 0 0 1-w 1 w 3 -w -1 -w 0 -1 -1+w -1 1-w 1 1-w 3 1-w -w 0 1-w w 1-w 0 1 w w 0 3 -w -1 1-w 0 -w -1+w -w 2-w 1 2-w 1+w -w 3 1 1-w 0 1-w -1 0 0 w -1+w 0 w w 0 3 -w -1 1 0 0 0 1-w 1 w 1+w w 1 w -w 3 |Aut| = 2^10*3^8*5 #short vectors: 0 198 14508 &Hlattice (#94 <- a5a4a3a1+) 2 0 2 0 1 2 0 1 1 2 0 -w -w -w 2 0 1 0 0 0 2 -w 1-w 1-w 1-w w 0 3 -w 1-w 1-w 1-w w 0 2-w 3 0 w 0 0 0 w -1 0 3 0 1 1 1 -1+w 0 0 w 1 3 1-w 0 0 0 0 0 1 w -1+w w 3 0 -w 0 -w 1 0 0 1-w -w -w -1+w 3 1 1-w 1-w 1-w w 0 w w -w 1-2w 0 w 3 0 -w 1-w 0 0 -w 1 0 -2+w -1 0 -w 1-w 3 1 1 1-w 0 0 1 w -1+w -w 0 w -w 1 w 3 |Aut| = 2^12*3^5*5^2 #short vectors: 0 192 14472 755082 &Hlattice (#95 <- a5a4a3a1-) 2 1 2 0 0 2 0 0 -w 2 0 0 0 0 2 0 0 1 -1+w 0 2 1 1 0 0 0 0 2 0 0 0 0 0 0 0 2 1-w 1-w 0 0 0 0 1-w 0 2 0 0 0 0 0 0 0 0 0 2 1-w 0 1 0 1-w 0 0 -w 0 0 3 -w 1-w 1 0 0 1 0 0 1 0 1-w 3 1-w 1-w 1-w 1 0 0 1-w 1-w 1 0 1 1 3 0 0 0 -w -1 -1+w 0 -w 0 -1+w 1-w 0 1-w 3 -w 0 -w 1 1 -w -w 1 0 0 0 0 1 -2+w 4 |Aut| = 2^12*3^5*5^2 #short vectors: 0 192 14472 755082 &Hlattice (#96 <- a4a4d4+) 2 1-w 2 -w 1-w 2 0 0 0 2 0 0 -1 0 3 -w 1-w 1-w 0 -1+w 3 -w 1-w 0 -1+w 1+w 1-w 3 1 1 0 0 w w w 3 1-w 1 w 0 -1 1 w 0 3 1-w 1 w 0 1 -1+w 1 0 0 3 1 0 0 0 0 w 0 2-w 0 0 3 0 0 1-w 0 -1+w 1 -1+w w 0 -w 0 3 0 0 0 0 -1+w 1-w w -1+w 1 0 -1 1 3 0 0 1-w 0 -1+w w -1+w -1+2w 0 1-w -1+w 1+w 1 3 w 0 -1 0 1-w -w -w 0 0 0 0 0 0 0 3 |Aut| = 2^14*3^4*5^2 #short vectors: 0 192 14472 755082 &Hlattice (#97 <- a4a4d4-) 2 0 2 0 0 2 -w 1 0 2 1 -1+w 0 -1+w 2 0 0 -w 0 0 2 0 0 0 0 0 0 2 0 0 w 0 0 0 -w 2 w -1 1 -1 w -1 0 -w 3 0 -1 -w -1 0 0 0 -1 1-w 3 0 0 -w 0 0 0 0 -1 1-w 0 3 -1+w 1-w 1-w 1-w -1+w 0 0 -w w -1+w w 3 -w 1-w 0 1-w -w 0 0 0 -1 w 0 0 3 0 0 0 0 1-w 0 0 0 0 0 0 -w 1-w 3 0 1-w -1+w 1-w -1 0 1-w w -1+w -1 1-w 0 0 -w 3 |Aut| = 2^14*3^4*5^2 #short vectors: 0 192 14472 &Hlattice (#98 <- a5a4a3) 2 0 2 0 1-w 2 1-w 0 0 2 0 0 0 0 2 1 0 0 w 0 2 1-w 1-w 1 1-w 0 1-w 3 1-w 1 1 1-w 0 -w 1 3 1-w 1-w 1 0 0 0 1 2-w 3 1 -w 1-w w 0 1 0 0 0 3 1-w 1 w 0 0 0 1 1 1+w 0 3 1 -w 1-w w 0 1 0 0 1-w 1 -w 3 1-w 1 1 1 0 1-w 1 1+w w 1 1 0 3 -w 1 w 1-w -w -w 1 1 0 0 1 -1 1 3 0 1 1 0 1-w 0 0 1 0 w 1-w w 1 1 3 |Aut| = 2^11*3^5*5^2 #short vectors: 0 186 14436 755406 &Hlattice (#99 <- a5a4a3) 2 -w 2 -w 1 2 -w 1 1 2 0 0 0 0 2 0 0 0 0 -w 2 0 0 0 0 0 -1 3 0 0 0 0 0 0 0 3 -w 0 0 0 0 -w 0 w 3 1 0 0 0 0 -w w w w 3 -w 1 1 1 -w 0 1-w 0 0 0 3 1-w w 0 0 1 0 -1+w -1+w w 1 -1+w 3 1-w 0 0 0 1-w w -w 0 w 1-w 0 1 3 1-w w w w 1-w w -w -1+w 0 0 w 1 1 3 1-w w w w 1-w -1+w 1-w -1 0 0 1+w 0 w 1+w 3 |Aut| = 2^11*3^5*5^2 #short vectors: 0 186 14436 755406 &Hlattice (#100 <- a5d4a1a1a1) 2 1-w 2 -w 0 2 0 0 0 2 -w 1-w 1 0 2 1 1 -1 0 0 3 1-w 1 0 0 0 1-w 3 -w 0 1 0 1 -w 0 3 1-w 0 w 0 0 1-w w 0 3 1-w 0 w 0 0 1-2w 1 1 1 3 1 w 0 0 0 1 1+w 0 0 w 3 1-w 0 0 1-w 0 0 1-w 0 0 0 1-w 3 1-w 1 0 -w 0 2-w 1 w 1 w 1-w 1-w 3 1 1 0 1-w 0 1 1 -1+w 0 w 1-w w 1+w 4 -w 1-w 1 1-w 1 1-w 1 0 2-w 1 1-w 0 1 1 4 |Aut| = 2^14*3^6*5 #short vectors: 0 180 14400 &Hlattice (#101 <- d4k3a3a1a1a1) 2 0 2 -w 1 2 0 0 0 2 1-w -w 0 0 2 0 0 0 0 0 2 1 -w 0 1-w 1 0 3 1-w 0 0 -w 1 0 1-w 3 0 1-w 1-w 1 0 0 1 0 3 0 1-w 1-w 0 0 1 1 0 1 3 1 0 0 1 0 0 1 0 1 1 3 1 0 0 -w 0 0 2-w w 0 1 1-w 3 -w 0 1 0 1-w 1 1-w 1-w 1 1 0 0 3 1-w 0 0 0 1 1 1-w 1 0 1-w 1-w 1-w 1 3 1 1-w 0 1-w w 0 1 w 1-w 1 1 1 0 w 3 |Aut| = 2^14*3^7 #short vectors: 0 180 14400 755730 &Hlattice (#102 <- d4d4a3) 2 -w 2 -w 0 2 1-w 0 0 2 0 0 0 0 2 -w 1-w 0 1-w 0 3 1-w w 0 1 1-w w 3 -w 1-w 1 1 w w 0 3 1-w 0 w 1 -1 1 1-w w 3 1 0 0 w 0 w 0 0 w 3 1 -1+w 0 0 0 -1+w 0 0 0 0 3 -w 0 1 1-w 0 1 1 1-w 1-w 0 -1 3 1-w 1 -1+w 1 0 w 1-w w 1 0 1-w -1+w 3 -w 0 1 1-w 0 0 1-w 1 1-w -1 w 1 0 3 1-w 1 -1+w 1 0 w 1-w w 1+w 1-w 0 -1+w 1+w w 3 |Aut| = 2^17*3^6 #short vectors: 0 180 14400 &Hlattice (#103 <- a3a3a3a3a3) 2 1 2 0 0 2 0 0 1 2 0 0 0 0 2 0 0 0 0 1 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1 2 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 1 1 2 1 0 1 0 1 0 1 0 0 0 0 0 3 0 0 1 0 1-w 1-w -w 0 0 1 0 0 1-w 3 -w 0 0 0 1-w 0 1 1-w 1-w -w 1-w 1-w 1-w -1 4 |Aut| = 2^18*3^7*5 #short vectors: 0 180 14400 755730 &Hlattice (#104 <- a4a4a4+) 2 0 2 0 1 2 0 1 1 2 0 -w -w -w 2 1 0 0 0 0 2 0 0 0 0 0 -1 2 w 1-w 1-w 1-w w w 0 3 0 -1 -1 -1 1-w w -w 1-w 3 0 0 0 0 0 -w w -1+w -1 3 -1 0 0 0 0 -1 0 -1+w w 1 3 -w 1 1 1 -1+w -1 1 -1+w -2+w 0 w 3 w 1-w 1-w 1-w w 0 w 2-w -1+w 0 0 0 3 0 0 1 0 0 -w w 0 -1 1 w w 1 3 1-w w 0 w 0 1-w 0 -1 -1-w 1 -1+w w -1 0 4 |Aut| = 2^10*3^5*5^3 #short vectors: 0 180 14400 755730 &Hlattice (#105 <- a4a4a4-) 2 0 2 0 1 2 0 1 1 2 0 -1+w -1+w -1+w 2 1 0 0 0 0 2 0 0 0 0 0 -1 2 1-w w w w 1-w 1-w 0 3 0 -1 -1 -1 w 1-w -1+w w 3 0 0 0 0 0 -1+w 1-w -w -1 3 -1 0 0 0 0 -1 0 -w 1-w 1 3 -1+w 1 1 1 -w -1 1 -w -1-w 0 1-w 3 1-w w w w 1-w 0 1-w 1+w -w 0 0 0 3 0 0 1 0 0 -1+w 1-w 0 -1 1 1-w 1-w 1 3 w 1-w 0 1-w 0 w 0 -1 -2+w 1 -w 1-w -1 0 4 |Aut| = 2^10*3^5*5^3 #short vectors: 0 180 14400 755730 &Hlattice (#106 <- a5a4a2a1) 2 -1+w 2 0 0 2 -w 0 1 2 -w 0 0 1 2 0 0 0 0 0 2 1-w 0 0 w 1 0 3 1 0 1-w 0 -1+w 0 w 3 w 0 0 -1 -1 0 -1+w 1 3 -1 -1+w -1 -w -w 0 -w -1 w 3 0 0 -1 -1 -w 0 1-w -w 1 1 3 -1+w 1 0 0 0 1-w 0 w 0 -w 0 3 0 0 0 0 0 0 1 1-w 0 w 0 -w 3 1-w -1 w w 0 0 1 0 1-w 0 1-w -1 0 3 0 0 0 0 0 -1 w 0 0 w 0 -w 1+w 0 3 |Aut| = 2^10*3^5*5^2 #short vectors: 0 174 14364 756054 &Hlattice (#107 <- a5a4a2a1+) 2 0 2 0 0 2 w 1 0 2 -1 0 0 -1+w 2 0 -1+w 0 -1+w 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 -1+w 2 0 -1 -1+w 0 0 0 0 0 3 0 -1+w 1 0 -1 0 0 0 1-w 3 -w 0 0 -1 w 1 0 0 -1 -w 3 1 0 0 1-w -1 -1 w 1-w 1 1 -2+w 3 0 -1 1 -1 0 w 0 0 0 1 0 0 3 0 -1 -1+w -1 0 -1+w 0 0 1 w -1 1 w 3 0 -1+w 0 -1+w w 1-w 0 0 1 1-w 1-w 0 1-w 0 3 |Aut| = 2^10*3^5*5^2 #short vectors: 0 174 14364 756054 &Hlattice (#108 <- a5a4a2a1-) 2 1-w 2 0 0 2 0 0 1 2 0 0 1 1 2 0 0 -w -w -w 2 0 0 0 0 0 0 2 1 0 1-w 1-w 1-w w 0 3 1-w 1-w 1 0 0 0 0 0 3 1-w 1 1 1-w 0 0 0 0 1+w 3 -w 0 1-w 1-w 1-w w 0 0 1-w 1-w 3 -w 0 1-w 0 0 0 0 -w 1-w 1-w 1 3 1-w 0 1-w 1-w 1-w w 1 1-w 1 1 1+w 1 3 -w 1-w 1-w 0 0 0 1 1-w 1-w 1-w 0 1 1 3 0 0 0 1 0 0 1 -1+w 0 w 0 1-w 1 0 3 |Aut| = 2^10*3^5*5^2 #short vectors: 0 174 14364 756054 &Hlattice (#109 <- a4a4a3a2+) 2 1-w 2 0 0 2 0 0 0 2 0 0 0 1 2 0 0 0 0 0 2 0 0 0 0 0 0 2 1 w 0 0 0 0 0 2 -w 1-w 1 1 0 0 0 -w 3 1-w 1 0 1 1 0 1 1-w w 3 -w 0 1-w -w -w 1 0 0 1-w -w 3 0 0 1-w 1-w 0 1-w -w 0 1-w -w 1 3 1 1 0 0 0 1-w -w 0 0 0 0 1 3 -w 0 -w 0 0 -w 0 -w 0 1-w 1-w 1-w -w 3 1 1 -w 1-w 1-w 1-w 1-w 1-w 0 2-w 0 1 1+w w 4 |Aut| = 2^11*3^5*5^2 #short vectors: 0 174 14364 756054 &Hlattice (#110 <- a4a4a3a2-) 2 0 2 0 0 2 0 -w 0 2 0 -w 0 1 2 0 0 0 0 0 2 0 0 -1+w 0 0 0 2 0 w 0 0 0 0 -1+w 3 0 1-w -w 0 0 -1 -1+w 1-w 3 0 -1+w 0 0 0 0 0 w -1 3 -1 1 0 -1 -1 0 0 0 w 0 3 -w -w 0 0 0 -1+w 0 -1 1-w 0 1 3 -1 0 -1+w 0 0 0 1 -w -w -w 0 1-w 3 -w 0 0 0 0 -1+w 0 1 1 w 1 1 -1+w 3 0 -1 1-w 1-w 1-w 0 -1 -1+w w 0 0 1-w -1 0 3 |Aut| = 2^11*3^5*5^2 #short vectors: 0 174 14364 &Hlattice (#111 <- a4d4a2a2) 2 0 2 0 -w 2 0 0 1-w 2 1-w 0 0 0 2 0 -1 1-w 1 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 w -1 -1 0 -1 0 1-w 3 0 0 1-w 1 1 1 1-w 0 0 3 -1+w 0 0 0 0 -1+w 0 0 0 0 3 0 0 -1+w -1 1-w -1 0 -1+w 0 -w 1 3 w 0 -w 1-w 0 1-w 0 0 -1+w 1-w -w -1+w 3 0 0 -1 0 0 0 0 0 0 0 0 w 1-w 3 -1+w -1+w 0 -1 -1 -w 0 0 w -1 0 1-w 0 -1 3 |Aut| = 2^12*3^5*5 #short vectors: 0 168 14328 &Hlattice (#112 <- a4d4a2a2) 2 -1 2 1-w -1+w 2 0 0 0 2 0 0 0 1 2 0 0 0 0 0 2 -w w 1-w w w -1+w 3 1 -1 w 1-w 0 0 -1+w 3 0 1-w -1 1 0 1-w -w w 3 w -w -1+w 1-w 1-w 0 -1-w w 1-w 3 w -w -1+w 1-w 0 0 -w w 1-w 1 3 w -w -1+w -1 0 0 -1 0 -w 1 1-w 3 -w 0 0 0 0 0 0 0 0 -1+w -w 0 3 -w w 1-w 0 0 0 1 0 -1+w -1 -w -1 1 3 1 -w -1+w -w -w 0 -2+w 1 1-w 2-w 0 1 0 -1 3 |Aut| = 2^13*3^5*5 #short vectors: 0 168 14328 &Hlattice (#113 <- a4a3a3a3) 2 1 2 0 0 2 0 0 0 2 0 0 0 0 2 0 0 0 0 -1+w 2 w w w 0 1-w -1 3 -w -w 0 0 0 0 -1 3 1-w 1-w w 1 0 0 0 0 3 w 0 -1+w 0 0 0 1+w -1+w 0 3 -w -w 0 -1+w 0 0 -1 1+w 0 0 3 0 -1+w 0 -w -w -1+w 1 -w -w 0 -1 3 1-w -w 0 1 0 0 0 1 2-w 1-w 1-w -1+2w 3 0 0 0 0 1-w -1 1 -1+w -w 1 0 0 0 3 1-w 1 -1+w -1+w 0 0 1 -1+w w 1 w 1-2w -1+w w 4 |Aut| = 2^14*3^5*5 #short vectors: 0 168 14328 &Hlattice (#114 <- a5a3a3a1+) 2 0 2 1-w -w 2 0 0 0 2 0 0 0 0 2 0 0 0 0 -w 2 0 1 0 0 1-w w 3 0 1-w 0 0 -w 1 2-w 3 1 1 w 0 1 -1+w 1 -1+w 3 1 0 0 0 1-w w 1 w 1-w 3 -w 0 1-w 1-w -w 0 0 0 -w 0 3 0 1-w 0 -w 1-w 0 1-w 1 1-w 1 1 3 -w -w 1-w 1 0 0 1-w 1-w -w 0 1 0 3 0 0 0 1 1 -1 w 0 w w w w 1 3 0 1-w 0 0 1 -1+w 1-w 0 2-w w 0 1 1 1-w 3 |Aut| = 2^13*3^5*5 #short vectors: 0 168 14328 756378 &Hlattice (#115 <- a5a3a3a1-) 2 0 2 0 0 2 0 0 1-w 2 1 1-w 0 0 2 0 1 0 0 1 3 0 0 1 0 0 0 3 1 1-w 0 0 1 0 0 3 1-w w 1 0 0 -1+w 0 0 3 -w 0 0 0 -w 1-w 0 0 0 3 -w 0 1-w 1-w -w -w 1 0 1-w 0 3 -w 0 1-w 1-w 0 w 1 0 1-w 1 1 3 0 0 0 0 1 1+w 0 1-w 0 w -1 1-w 3 -w 1-w -w 1-w 1-w 1-w 1-w 1-w -w w 2-w 1-w 1 4 -w 1 -w 0 0 1-w -1 0 1-w 2-w 0 1-w 1-w 1 4 |Aut| = 2^13*3^5*5 #short vectors: 0 168 14328 756378 &Hlattice (#116 <- a4k3a3a1a1) 2 0 2 -w 0 2 0 0 0 2 0 0 0 -w 3 -w 0 1-w 0 0 3 -w 0 0 0 1 1-w 3 1-w 0 w -w w 0 0 3 0 1-w 0 0 1-w 0 0 -w 3 1-w 0 0 0 -w 1-w w 0 0 3 0 1 0 1 -1 1-w 0 -1+w 0 1 3 0 1-w 0 1-w 0 1 -1+w -1+w 1-w w 1 3 0 1 0 -w 0 -1 -1 1-w w 1-w 1-w 0 3 1 -w -1+w 0 -w -1+w -w w 1-w 0 0 0 0 3 1-w 1 1 -w 1-w 1+w w 1 1 w 0 1 0 0 4 |Aut| = 2^10*3^6*5 #short vectors: 0 162 14292 756702 &Hlattice (#117 <- a3a3a3k3) 2 1-w 2 -w 0 2 0 0 0 2 0 0 0 0 2 0 0 0 1-w 0 2 0 0 0 0 1-w 0 2 -w 1-w 0 0 0 0 1 3 1 0 -1+w 0 1-w 0 1 w 3 1 0 -1+w 1 0 0 0 1 2-w 3 1-w 1-w 0 0 1 0 0 1-w 0 1-w 3 -w 0 1 0 -w 0 0 w 1-w 0 -w 3 1-w 1-w -1+w 1-w 0 1-w 0 1 1-w 2-w 1 0 3 1 1 0 0 0 0 0 -1+w 0 0 w 0 w 3 0 0 1 0 -w 0 1-w -w -w -w 0 0 -w 1 3 |Aut| = 2^11*3^8 #short vectors: 0 162 14292 &Hlattice (#118 <- a3a3k3a2a2) 2 0 2 0 1 2 0 0 0 2 1-w 0 0 0 2 0 0 0 0 0 2 0 0 0 1-w 0 0 2 -w 0 0 1 0 0 1 3 1 1-w 1-w 0 0 0 0 w 3 0 1 1 -w 0 1 -w -w w 3 1-w 0 0 0 1-w -w 0 -1+w 0 -w 3 0 -w 0 1-w 0 -w 1-w 1-w 0 0 1 3 0 1 1 -w 0 -w 1-w 1-w w 1 0 1 3 0 1-w 0 1 0 -w 0 1-w 0 0 0 1+w 1 3 1 0 0 0 1 -w 0 -1 0 -w 1+w 1 0 1 3 |Aut| = 2^11*3^8 #short vectors: 0 162 14292 756702 &Hlattice (#119 <- a5a2a2a2a2) 2 0 2 1 0 2 1 0 1 2 1 0 1 1 2 -w 0 -w -w -w 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1-w 3 1 1-w 0 0 0 0 1 1 3 1-w 1-w 1-w 1-w 1-w w -w 1-2w 1-w 3 -w 0 0 -w 0 1 1-w 1-w 1-w 1 3 1 1 0 1 1 -1+w 0 0 w w -1+w 3 -1 0 0 -w 0 0 0 1 -1+w 0 1 0 3 -w -w 0 -w 0 0 0 0 -w 1-w 1 -w 1+w 3 1 1 1-w 0 0 0 1 1+w 1+w -1+2w -1+w w 0 -1+w 4 |Aut| = 2^9*3^8*5 #short vectors: 0 162 14292 756702 &Hlattice (#120 <- k3k3a2a2a2) 2 0 2 0 0 2 0 0 -w 2 0 0 0 0 2 0 -w 0 0 0 2 0 0 0 0 1 0 2 0 0 0 0 0 0 0 3 0 1-w -w 1-w 0 1 0 0 3 0 1 1 0 -w 0 -w 1 w 3 0 0 -w 1 0 -1+w 0 -1+w 0 -1 3 0 -w 1 -1+w 1 1 1-w -1 0 0 -1+w 3 0 1 0 0 1 0 1-w -1+w 1 w 0 1 3 1 1-w 0 0 0 1 0 1-2w 1 1-w -1 w 0 3 -w 1-w -w 0 1 w 1-w w 1 0 1-w 1 2-w 0 4 |Aut| = 2^7*3^12 #short vectors: 0 162 14292 756702 &Hlattice (#121 <- a5a3a2a2+) 2 0 2 1 0 2 1 0 1 2 1 0 1 1 2 -w 0 -w -w -w 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1-w 2 1 0 0 0 0 0 -w 0 3 0 0 0 0 0 0 1 0 0 3 -w 1 0 0 0 0 1-w 1 -w 1-w 3 -w 0 -w -w -w 1 1 0 -1+w w 0 3 1 1 0 0 0 0 1 w w 1-w w 0 3 -w 0 1-w -w -w 1 0 0 0 -1 0 w -w 3 1-w 0 0 1-w 0 0 -w 1-w 1 -1 0 0 1-2w w 3 |Aut| = 2^10*3^6*5 #short vectors: 0 162 14292 756702 &Hlattice (#122 <- a5a3a2a2-) 2 0 2 0 1-w 2 0 0 0 2 0 0 0 1 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 -w 2 0 0 0 -w -w -1+w 0 0 2 0 1-w 1 0 0 -w -w 1-w -1+w 3 -w 1-w 1-w 0 0 0 1-w 0 0 1 3 -w 0 -1 1 0 0 0 0 0 -1 1-w 3 1 0 0 1-w 1-w 0 1-w 1 w w w 0 3 -w 0 0 -w 0 1-w 1-w 0 0 w 1 1-w 1-w 3 0 -w 1-w 0 0 1-w 1-w w -1 w 1 0 w 1 3 |Aut| = 2^10*3^6*5 #short vectors: 0 162 14292 756702 &Hlattice (#123 <- a4a4a3a1+) 2 -w 2 0 0 2 0 0 -1+w 2 0 0 -1+w 1 2 0 0 -1+w 1 1 2 0 0 0 0 0 0 3 -1+w 0 1-w -1 -1 -1 1 3 1-w w 0 0 0 0 -w -1 3 1-w 0 0 0 0 0 -2+w -2+w 1-w 3 0 0 0 0 0 0 -w 1 -w 0 3 -w 1 0 0 0 0 -1+w -1 0 0 -1-w 3 1-w w 0 0 w 0 -1 -w 1 w 1-w w 3 0 0 0 0 1 0 1-w 0 w -1+w w -w 1 3 -1 1-w 0 0 0 0 -1 1 -w 0 2-w 0 1 1-w 3 |Aut| = 2^11*3^4*5^2 #short vectors: 0 162 14292 756702 &Hlattice (#124 <- a4a4a3a1-) 2 0 2 0 1 2 1 0 0 2 -w 0 0 0 2 0 1-w 1-w 0 0 2 1-w 0 0 1-w 0 0 2 0 0 0 0 0 -w 0 2 0 0 0 0 0 0 0 0 2 -w 1-w 0 1-w 1-w 0 1 0 0 3 -w -w -w 1-w 1 1-w 0 0 0 1 3 1 -w 1-w 1 0 1 w -1 0 0 w 3 -w 1-w 1-w -w 0 1 1-w 0 0 1-w 1 0 3 1-w 1-w 0 0 w 0 0 0 1 w w 0 0 3 1 0 0 1-w 0 0 0 0 -1 0 0 1 0 -1+w 3 |Aut| = 2^11*3^4*5^2 #short vectors: 0 162 14292 756702 &Hlattice (#125 <- a4a4a2a2) 2 0 2 1 1 2 0 0 0 2 0 -w -w 0 2 0 0 0 0 0 2 0 1-w 1-w 1-w w 0 3 1 1-w 1-w 0 w 0 1 3 1 1 1 1 0 0 w 0 3 1-w -w 1-w 1 1 0 1 1-w 1-w 3 0 0 0 1-w 0 0 w w 1-w 0 3 -w 1-w 1-w 0 w 0 0 -w 1-w 1 0 3 -w -w -w 1-w 1 0 1-w 1-w -w 2-w 1 1 3 1-w 0 1-w -w 0 -1+w 1 0 1-w 1-w 0 0 0 3 1 0 1 0 0 0 0 1-w w 1 -1 w 0 w 3 |Aut| = 2^10*3^5*5^2 #short vectors: 0 156 14256 &Hlattice (#126 <- d4a3a3a1a1) 2 w 2 1-w -w 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 -1+w 0 1-w 3 -1 -1 1-w 0 0 1-w 1 3 -1 -1+w -w 0 1-w 0 0 1-w 3 0 1-w w 0 0 0 0 -1+w -1 3 1-w -w 1 0 0 0 -w -1+w -1+w 1-w 3 0 -1+w 1-w 0 0 0 1 1-w 1-w -1 -1 3 0 0 0 0 0 -1 1-w -1 0 0 1 0 3 -1 -1 1-w 0 0 -1+w -1 0 1 1-w 1-w w 1-w 3 0 w -1 0 0 0 1 -w 1-w -1+w -2+w 2-w -1 -w 4 |Aut| = 2^16*3^4 #short vectors: 0 156 14256 &Hlattice (#127 <- a4a4a2a1a1) 2 1 2 1 0 2 0 0 0 2 0 0 0 -w 2 0 0 0 0 0 2 0 0 0 0 0 0 2 -w 0 -w 0 0 0 0 3 0 1-w 0 0 0 0 0 -w 3 0 0 0 1 0 1-w -1 -w 0 3 1 0 1 1-w w 1 0 -1+2w -w 0 3 0 0 0 1-w 1 1 0 -1 -w 1 1 3 1 0 1 1-w 1 0 0 w -1 0 2-w 1 3 1 0 1 0 0 -w -1 0 -w 1 1-w 0 1 3 1-w 0 1-w 1-w w 1-w 0 w -w 1 2-w 1 1 1 3 |Aut| = 2^10*3^4*5^2 #short vectors: 0 150 14220 &Hlattice (#128 <- a4a4a2a1a1) 2 1-w 2 -w 0 2 0 0 0 2 -w 0 1 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 1-w 1-w -1+w 0 w 0 1-w 0 3 1 0 -1+w 1-w -1+w 0 0 0 w 3 -w 0 1 0 1 0 1-w 1-w 1-w -w 3 1 0 -1+w 1 -1+w 0 1-w -1 1 1 0 3 0 0 0 1-w -1 -w 0 0 -1 0 0 1-w 3 -w 0 1 0 1 1 1-w 0 1-w -w 1 1-w -1+w 3 1-w 1 0 0 0 0 1-w 0 1+w 1-w w 0 0 0 3 |Aut| = 2^11*3^4*5^2 #short vectors: 0 150 14220 757350 &Hlattice (#129 <- a4a3a3a2) 2 1 2 0 0 2 0 0 0 2 0 0 0 -1+w 2 1-w 1-w 1-w 1-w -1 3 1-w 1-w -1 0 0 0 3 -1+w -1+w 0 0 0 0 -1 3 1 w 0 0 0 0 -1+w -w 3 -w -1 -1 0 0 1-2w 1-w 0 0 3 1 0 0 0 w 0 0 -w w 0 3 -1+w -1+w 1 -w -1+w 0 -1 1-w -1+w -w w 3 0 0 -1 0 0 -1 1 -1+w -w 0 -w -1 3 1-w 0 -w 1 -w 1 w 0 1 w -w -1 0 3 1-w -w -1 0 0 1-w 1-w w 0 1+w 0 -2+w 1-w 1 3 |Aut| = 2^11*3^5*5 #short vectors: 0 150 14220 757350 &Hlattice (#130 <- a4a3a3a2) 2 1 2 1 1 2 0 0 0 2 0 0 0 0 2 1-w 0 0 0 0 2 0 0 0 -w 1 0 2 0 0 0 0 0 0 0 2 1 1-w 1 1 0 0 0 0 3 1 1-w 0 0 0 0 0 0 1 3 1 0 0 1-w 1 w 1 0 1-w 1 3 -w 0 -w 1-w 0 1-w 0 -1 -w 0 1-w 3 1 0 0 -w 1-w w 1-w 0 1-w 0 2-w 0 3 1-w 0 0 1-w 0 1 0 -1+w 1-w -w 1-w 1 1 3 1 0 1 0 1 0 1 0 1 1-w 1 -1+w w w 3 |Aut| = 2^11*3^5*5 #short vectors: 0 150 14220 757350 &Hlattice (#131 <- a4a3a3a2+) 2 1-w 2 0 0 2 1 0 0 2 0 0 0 0 2 0 0 0 0 1 2 0 0 1 0 0 0 2 -w 1-w 0 0 -w 0 0 3 1 w 1 0 0 0 1 -1+w 3 1 1 -w w 0 0 -1 w 1-w 3 1 w 0 1 1-w 1-w 0 -1+w 0 0 3 -w 1-w 1 -w -w -w 1 1 0 -1 1-2w 3 -w 1-w -w 0 -w 1-w 0 1 -w 1-w 1-w 1 3 0 0 0 -w 0 0 0 0 1 0 -1 0 -1 3 -w 1-w 1 0 0 0 0 0 0 0 0 1 w 0 3 |Aut| = 2^11*3^5*5 #short vectors: 0 150 14220 757350 &Hlattice (#132 <- a4a3a3a2-) 2 1-w 2 1 0 2 0 0 0 2 0 0 0 1 2 0 0 0 0 0 2 1 0 1 0 0 0 2 1 w 1 0 0 1 0 3 1 1 0 -w -w 0 0 1-w 3 1-w 1-w 1 0 0 0 1-w 0 1-w 3 0 0 w 0 1 1 0 w -1 0 3 1 w 1 -w 1-w 0 1 1 w w 1-w 3 -w 1-w -w 0 0 1 0 1-w 0 -w 0 -w 3 1-w 1 0 1 1 1-w 0 1-w 0 0 1 0 1 3 -w 0 -w -w 0 -w -w -w 0 -w 0 0 1-w 1-w 3 |Aut| = 2^11*3^5*5 #short vectors: 0 150 14220 &Hlattice (#133 <- a4a3a3a1a1) 2 1 2 1 1 2 0 0 0 2 0 0 0 1 2 0 0 0 -w -w 2 -1 -1 -1 0 0 0 2 0 0 0 1 1 -1+w 0 3 0 0 0 -1+w -1+w -w 0 -1 3 0 0 0 w 0 0 1 w 0 3 -1+w -1+w -1+w 0 -w 0 1-w -w -1+w 0 3 -1 -1 -1 0 0 0 1 -w w 0 1+w 3 -1+w -1+w -1+w -w 0 w 1-w 0 -1+w 0 1-w 1-w 3 -w -w -1 0 0 0 1 -1+w 0 1 0 1-w w 3 0 0 0 -1+w -1+w -w 1 -1+w 1 1 0 1 0 w 3 |Aut| = 2^12*3^4*5 #short vectors: 0 144 14184 757674 &Hlattice (#134 <- a3k3a2a2) 2 0 2 1 0 2 0 0 0 2 0 0 0 0 2 -w 0 0 0 1 3 1 0 0 1-w -w -1+w 3 0 0 0 1 1-w 1 w 3 0 0 0 0 1 1 0 0 3 1-w 1-w 1-w 0 1-w 1 1 1-w 1 3 1-w 1 0 0 1 w 0 w 1-w w 3 -w 0 0 -w 1 2-w -w 0 0 0 1-w 3 1 1-w 1 0 1-w -w w 1-w 0 1+w 1-w 1-w 4 -w 0 1-w 1-w 1-w 1-w 0 0 -w 1-w 1-w 1 1-w 4 1-w 1-w 1-w -w 1 1 0 1-w 0 1+w 2-w 1+w 1+w 1 4 |Aut| = 2^8*3^9 #short vectors: 0 144 14184 757674 &Hlattice (#135 <- a5a2a2a1a1a1) 2 0 2 0 0 2 0 0 0 2 0 0 0 -w 2 0 0 0 0 0 2 1-w 0 0 0 0 0 3 0 -w 0 1-w w 0 -1+w 3 1 1 -w -1+w -w 0 w -1 3 1-w 1-w 0 0 0 0 w 1 1-w 3 0 0 -1+w 0 0 1-w 0 -1 -w 0 3 1-w w 0 w -1 0 1-w -2+w 1-w 0 0 3 0 -1+w 0 -1 1-w 0 -1 -w -1+2w -1 0 -1+w 3 0 -1 1 -1 0 0 w 1-w -1+w 1-w -w -1+w 0 3 1-w 1 0 1-w 0 0 w 1 1 1+w 0 -w -w -1+w 4 |Aut| = 2^11*3^6*5 #short vectors: 0 144 14184 &Hlattice (#136 <- a4k3a2a1a1) 2 -w 2 0 0 2 -w 1-w 0 2 1 0 1 0 3 1 -1+w 0 0 0 3 1-w 1 0 w 1-w 1-w 3 1 -1+w 0 0 0 1 -1+w 3 1 -1+w 0 0 0 2-w w 1 3 1-w w 0 0 0 1-w 0 1-w 1-w 3 -w 1 0 1 0 0 1-w 0 -w 0 3 0 0 1 0 1-w 1 w 1 w 0 -w 3 -w 1-w 0 1 -w -w 1-2w 0 0 1 1-w 0 3 -w 0 -w 1-w -w -w -w 1-w -w 1-w 0 -w 1-w 3 -w 1 1 1 0 1-w 0 1-w 0 1 1-w 1 1 w 3 |Aut| = 2^9*3^7*5 #short vectors: 0 144 14184 757674 &Hlattice (#137 <- a5a2a2a2) 2 0 2 0 0 2 0 0 1 2 0 0 0 0 2 1-w 0 0 0 0 2 1-w 0 1-w 1-w 0 0 2 -w 0 0 0 1 0 1-w 3 1-w 0 1-w 0 0 1 1 w 3 0 1 0 0 1 0 0 0 -1+w 3 0 1 -w -w 1-w 0 1-w 0 0 2-w 3 1-w 0 1-w 0 0 1 1 -1+w 1+w 1-w 1 3 1-w -w 0 0 1-w 0 1 1 1-w -w 0 0 3 1 1-w 1 0 -w 1 w -1 1+w 1-2w 1-w 1+w w 4 1-w -w -w -w 1-w 1 1-w 1 1 -w 1-w 1-w 1 1-w 4 |Aut| = 2^9*3^8*5 #short vectors: 0 144 14184 757674 &Hlattice (#138 <- a3a3a3a3) 2 1 2 1-w 0 2 0 0 0 2 0 0 0 1 2 0 0 0 0 0 2 0 0 0 0 0 1 2 0 0 0 0 0 1 1 2 0 0 0 1 1 0 0 0 2 1 1 0 0 0 0 0 0 0 3 -w 1-w 1-w 0 0 0 0 0 0 1 3 -w -w 0 0 0 1 0 0 0 1-w 1-w 3 1-w 0 1 1 1 -w 0 0 1 1 w 0 3 1 0 w 1 0 1 0 0 0 1-w 0 1 w 4 1 1-w -1+w 1 0 1-w 0 0 0 2-w 1-w 1 w 2 4 |Aut| = 2^16*3^6 #short vectors: 0 144 14184 757674 &Hlattice (#139 <- d4a2a2a2a2) 2 0 2 1 -w 2 1 -w 1 2 0 0 0 0 2 0 0 0 0 0 2 -w 1-w 0 0 0 1-w 3 0 1-w 0 w 0 0 1 3 0 1-w 0 w 0 -1 1-w 2-w 3 0 0 0 0 0 0 -1+w 0 0 3 -w 1-w 0 0 0 0 1 0 0 0 3 1 -w 1 1 0 0 w 1 0 1-w 0 3 1-w 1 0 0 -1 0 1 1 w -1 w -w 3 0 1-w 0 w 0 0 0 1 1 -1 1 -1+w 1-w 3 1 0 1 w 0 0 -1+w w w 0 -1 w 0 1 3 |Aut| = 2^12*3^8 #short vectors: 0 144 14184 757674 &Hlattice (#140 <- d4a2a2a2a2) 2 -w 2 -w 1 2 -w 0 1 2 1 0 0 0 3 -w 1-w 1-w 1 0 3 -w 1 1 1 0 1 3 1 0 0 0 1-w -1+w 0 3 -w 0 0 1 -1 1-w 1 -w 3 1-w 0 0 0 1-2w 1 0 1-w w 3 1 -1+w -1+w 0 1 -1 -1 w -w 0 3 -w 1 1 1 1-w 0 1-w w 0 0 1-w 3 1 -1+w -1+w 0 0 0 0 1-w 0 1 1 -1+w 3 -w 0 1 1 0 1-w 1 0 1 1-w 0 w 0 3 1 -1+w 0 0 1-w 0 0 w -1+w 1 1 w 1 0 3 |Aut| = 2^13*3^7 #short vectors: 0 144 14184 757674 &Hlattice (#141 <- a3a3a3a2a2+) 2 0 2 0 0 2 -w 1-w 0 3 0 -w 1 -w 3 1 0 1 0 0 3 1-w -w 0 0 1-w 1-w 3 -w 0 0 1 0 -w 1-w 3 1-w 0 0 1 0 0 1 w 3 0 0 -w 1-w -1 1-w 0 1-w 0 3 -w 1-w 0 1 1 -w 1 w 1-w -1 3 -1 0 1-w 0 1-w 0 0 -w -1 0 0 3 0 1-w 1 0 1 1 w -1 -1 -1 1 1 3 1-w 1 0 1+w -1 1-w 1 1+w 1 w 1 -1 0 3 0 1-w -w w 0 -1 0 -1+w 0 -1 1 1-w 1-w 0 3 |Aut| = 2^13*3^7 #short vectors: 0 144 14184 &Hlattice (#142 <- a3a3a3a2a2-) 2 0 2 0 0 2 0 -1+w 0 2 0 0 -w 0 2 0 0 0 0 0 2 0 0 0 0 0 -1+w 2 1 0 0 0 0 0 0 2 1 -1 1 w -1 0 0 0 3 w 0 0 0 0 0 0 w 1 3 -1+w 0 -1+w 0 0 1-w -1 -1+w -1+w w 3 0 0 -w 0 0 0 w 0 1-w 1 -1 3 0 1 1 -w 0 -1 w 0 -1+w -1+w -w -1+w 3 -w 0 0 1 0 0 -w -w 1-w 0 -1+w 0 -1 3 -1+w 0 w 1 0 0 0 0 w 1+w 1-w 0 0 1 4 |Aut| = 2^13*3^7 #short vectors: 0 144 14184 757674 &Hlattice (#143 <- a4a4a1a1a1) 2 0 2 -w 0 2 -1+w w -w 2 0 0 0 0 2 0 1-w 0 -1 0 3 -1+w -1 -w w 0 1-w 3 -1 0 1-w 0 1-w w w 3 -w -w 1-w -1+w 0 1-w w 1 3 -w -w 1 -1+w 0 1-w w w 1+w 3 1-w 0 0 0 0 -1 -w -1 0 0 3 -1+w 0 1-w 0 0 1 w 2-w 0 -w -2+w 3 1 0 0 0 0 -w 0 -1 -1+w -1+w w 1-2w 3 0 1 0 1-w 0 w -1 w -1+w 0 -w w 0 3 -1 -w 0 0 0 0 w w 1-w 1-w -w -1+2w -1 0 3 |Aut| = 2^11*3^3*5^2 #short vectors: 0 138 14148 &Hlattice (#144 <- a4a3a2a2a1) 2 0 2 1 0 2 0 0 0 2 0 0 0 1 2 0 0 0 -w -w 2 -w 1-w 0 1 0 0 3 1 0 1 0 0 0 w 3 -w 1-w 1-w 0 0 0 1 1-w 3 -w 1-w -w 0 0 0 1 -w 2-w 3 1-w -w 0 1-w 0 0 1 1 1 1 3 1-w 0 0 -w -w 1 0 1-w w w 1 3 1 1-w 0 -w 0 0 0 1 0 0 1 w 3 w 0 1 0 0 0 -w 1-w 0 -1+w -1 0 0 3 1 0 1 -w 1-w 1 -1 w -1+w -1 0 w 1 0 3 |Aut| = 2^10*3^5*5 #short vectors: 0 138 14148 &Hlattice (#145 <- a4a3a2a2a1+) 2 1 2 1 1 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 -1+w 2 -w -w -w 0 1 1-w -1 3 -1 -1 -1 0 0 0 0 1-w 3 1 1 1 0 0 0 0 -2+w -1 3 -1 0 0 0 -w 1-w -1 1-w 0 0 3 0 0 0 w 0 1-w -1 w -w 1-w 1 3 -1 -1+w -1+w 0 0 1 -w 0 1-w -1+w w w 3 0 0 0 0 0 0 w -1 -1+w 1 -w 0 0 3 0 w w 1 1-w 0 0 1-w 0 -1+w -1+2w -w 1-w -w 4 |Aut| = 2^10*3^5*5 #short vectors: 0 138 14148 757998 &Hlattice (#146 <- a4a3a2a2a1-) 2 1 2 1 1 2 0 0 0 2 0 0 0 0 2 1-w 1-w 1-w 1-w 0 3 1-w 1-w 1-w -w 0 1 3 1 1-w 1 0 1 w w 3 -w -w -w 1 0 1-w -w -w 3 0 0 0 -w 1-w 1 1 1-w -1 3 -w 0 0 0 -w 0 0 -w 0 1-w 3 1-w 0 0 1 -w 1 0 -w w 0 w 3 1 0 0 1 1-w 0 w 1-w w 0 -1+w 1+w 3 1-w 1-w 1-w 1 1 1 0 1 1+w -1+w -1+w 1 1 3 1 0 1 -w 0 0 1 1-w 0 0 0 0 1-w 0 3 |Aut| = 2^10*3^5*5 #short vectors: 0 138 14148 757998 &Hlattice (#147 <- a4a3a2a2a1++) 2 1-w 2 0 0 2 0 0 0 2 0 0 0 0 2 1-w 0 0 1-w 0 2 0 0 0 0 -1+w 0 2 1 0 -w 0 0 w 0 3 0 0 w 0 0 0 0 -1 3 1-w 1 -w 1-w 1-w 1 -1 1-w 0 3 1 0 1 1-w 0 w 0 0 1 w 3 1 1 0 1 0 w 0 1 -1 w w 3 1-w 1-w 0 -w 0 1 0 1 -w 1-w 1-w 1-w 3 0 1-w w 0 0 0 w -1 w -w w 1-w 0 3 1 w 1 1-w 0 1 0 0 -w w 1 1 w 0 3 |Aut| = 2^10*3^5*5 #short vectors: 0 138 14148 757998 &Hlattice (#148 <- a4a3a2a2a1--) 2 0 2 -w 0 2 -1+w w -w 2 0 0 0 0 2 0 0 0 0 0 2 1-w 0 0 0 0 -1+w 3 w -1+w -1 1 1 0 w 3 -1 -1+w 1-w w 0 0 1-w 0 3 -1+w 0 1-w 0 0 0 -2+w -1+w 1-w 3 -1 -1+w 1-w w 0 0 1-w 0 1 0 3 -w -w 0 -1 0 0 1-w -1 0 0 w 3 1-w 1-w w -1 0 0 0 -1 -2+w -1 -1 0 3 0 1 0 1-w 0 0 0 -w 0 w -w -1+w 0 3 1 1 -1+w -w 1 0 -1+w 1-w -1 0 -1-w -1+w w 1 3 |Aut| = 2^10*3^5*5 #short vectors: 0 138 14148 757998 &Hlattice (#149 <- a4a3a3a1+) 2 1 2 1 1 2 0 0 0 2 0 0 0 1 2 0 0 0 -w -w 2 1 1 1 0 0 0 2 1 0 0 -w 0 1 0 3 0 0 0 -w 1-w 1 0 1 3 0 0 0 -w 0 0 0 1 w 3 0 0 0 1 1 -1+w 0 -1+w 0 0 3 -w -w -w 1 1 0 -w 0 1 0 1 3 1-w 1-w 1-w 1-w 1-w 0 1-w 0 w 1 1-w 1 3 -w 1-w 1-w -w -w 1 1-w 0 0 w -w 0 1 3 -w 0 -w 0 0 0 -w -w -1 -1+w 0 0 0 1 3 |Aut| = 2^11*3^4*5 #short vectors: 0 138 14148 757998 &Hlattice (#150 <- a4a3a3a1-) 2 0 2 0 0 2 0 0 -w 2 0 0 1 0 2 0 0 0 0 0 2 0 w 0 0 0 0 2 w w w -w 1 0 1 3 0 1 1-w 0 1-w 0 1-w 1-w 3 w 1 1 0 1 0 1-w 2-w w 3 0 0 0 1 w 0 0 w 0 w 3 w 0 1-w w 0 1-w 0 0 0 1 w 3 -1 1 0 0 0 0 1-w 0 1 0 0 -1 3 -w 0 0 0 0 0 0 -w -1 0 1-w -w w 3 -1+w 0 -1 1-w -w 0 0 w 0 0 -1 0 0 -1 3 |Aut| = 2^11*3^4*5 #short vectors: 0 138 14148 757998 &Hlattice (#151 <- a4a3a2a2) 2 0 2 0 0 2 0 0 -w 2 0 0 1 -1+w 2 -w 0 0 0 0 2 1 1 0 0 0 0 3 0 -w 1-w 1 -w 0 1-w 3 0 1-w -w 0 0 0 1-w 0 3 1 1-w -w 1 -w 0 2-w 1 1 3 1 1-w 0 0 0 -1 1 w 0 1 3 0 1 -w 1 -w -1 1-w 1 0 1 1 3 -w -w -w 0 -w 0 -w 1 1-w 1-w 1-w 1 3 -w 0 1 0 0 1 0 w 0 0 0 -1+w w 3 -w 0 1 -1+w 1 0 -w 0 -1+w -1 -w 0 0 0 3 |Aut| = 2^9*3^5*5 #short vectors: 0 132 14112 758322 &Hlattice (#152 <- a3k3a2a1a1a1) 2 -w 2 1-w 1 2 1 0 1 3 1 0 1 1 3 1-w 0 1-w 2-w 2-w 3 -w 1-w 1-w 0 1-w 1 3 -w 1-w 1-w 1-w -w 1-w 1 3 1-w 1 1 1-w 2-w 1 w w 3 1 -1+w 0 0 1 w 0 -1 w 3 1 -1+w 0 1 1-w 1 -1 -1+w 0 1-w 3 -w 0 1-w 1-2w -w 1-w 1-w 1-w 1-w 0 0 3 1 0 1 1 2-w 1 1 w 1 1 w w 3 0 0 0 -w -1 -w -1 1-w -w -1 1-w 1-w -w 3 1-w w 1 2-w 1 1 -1+w 0 w 0 1-w w 0 0 3 |Aut| = 2^9*3^7 #short vectors: 0 126 14076 758646 &Hlattice (#153 <- k3a2a2a2a2) 2 1-w 2 0 0 2 1 1 0 2 0 0 0 0 2 0 0 0 0 0 2 1 1 0 1 -w 0 3 1-w 1 0 1-w -w -1+w 1 3 1 1 0 1 1 0 w w 3 -w 1-w -w 1-w 0 0 0 1 1-w 3 -w 1-w 1-w 1-w 1 0 0 0 1-w 1 3 1-w 1 -w 1-w 0 0 1 1 0 1 1 3 1-w 0 0 1-w 1-w 0 0 w 1-w w 1 1 3 -w 0 1 -w 0 0 -w 0 -1 0 1 0 1-w 3 1 0 1 1-w -w -1 1 1+w 1-w 0 0 0 1-w w 4 |Aut| = 2^8*3^9 #short vectors: 0 126 14076 &Hlattice (#154 <- a3a3a3a2) 2 0 2 0 1 2 0 0 0 2 0 1 0 0 2 1-w 0 0 0 0 2 1-w 0 0 1 0 1-w 3 -w -w 0 0 -w 0 0 3 0 -w 1-w 1-w -1 0 1 1-w 3 0 -w 0 -w -w 0 0 1 1 3 1-w 1 1 0 0 0 1 0 w -1+w 3 1-w 1-w 0 1-w 1-w 0 1-w w w w 1 3 1-w -w -w 0 0 1 w 0 1 0 1-w 1-w 3 1 1-w 1-w 1 1-w w w w w w 0 w w 3 1-w -w 1-w 1 -w 0 2-w 1 1 1 1-w 1 0 2-w 4 |Aut| = 2^11*3^6 #short vectors: 0 126 14076 758646 &Hlattice (#155 <- a3a3a2a2a2) 2 0 2 0 -1+w 2 0 0 0 2 -1 -1+w 1 1 3 -1+w w -w 0 1-w 3 0 w -w 0 -w 1 3 w -w 0 0 -1 0 0 3 0 -w -1+w 0 w 0 -1 1-w 3 0 -1 0 0 -1+w -1+w w 1-w 0 3 -w w 1-w 0 1 w w -1 -1 0 3 1 1-w -1+w 0 -2+w -w 1-2w 1 w 0 -1 3 -1 -1 w 0 w w -1 0 1-w 0 -1+w -w 3 0 1-w 0 w -1+w -1 -w w -1+w w 0 1 0 3 0 0 -1+w -w -1 -w 1 0 0 1 0 w 0 -1+w 3 |Aut| = 2^11*3^6 #short vectors: 0 126 14076 758646 &Hlattice (#156 <- a3a3a2a2a2+) 2 0 2 0 0 2 0 w 0 2 0 0 0 0 2 w 0 0 0 0 2 1 1-w -1 0 0 0 3 -w 1 -1 0 -1+w -1 1 3 w 0 0 1-w 1 1-w 0 -1 3 1 -1+w -1 -1+w 0 0 1 w -w 3 1-w -1 0 0 0 -w -w -1+w 1-w 0 3 -1 0 0 0 0 -1+w -1 1-w -1 -1 1-2w 3 1 0 1 0 0 0 0 -1 0 0 -1+w -w 3 0 0 0 0 0 -1 -1+w 0 -w 0 1 w 0 3 1-w 0 -w w w 0 1 1 -1+w 1-w w -1+w 1-2w 1-w 4 |Aut| = 2^11*3^6 #short vectors: 0 126 14076 758646 &Hlattice (#157 <- a3a3a2a2a2-) 2 0 2 0 1-w 2 1 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 1 2 -1+w 0 0 w 0 1 1 3 0 -1 -w 1 1-w 0 0 1-w 3 1 1 0 0 0 0 0 -1 -1 3 w 0 0 0 0 0 -w -w -w w 3 -1+w -w 0 0 0 1-w 1-w 1-w 0 -1 w 3 1-w 0 0 -w 0 0 0 -1 -1 1-w -w 0 3 0 -1 -w 1-w 0 0 0 1-2w 2-w -1+w w 0 -1+w 3 -w 1-w 1 0 -1+w 0 1-w 0 -1+w -w -1+w w 1-w -1+w 3 |Aut| = 2^11*3^6 #short vectors: 0 126 14076 758646 &Hlattice (#158 <- a3a3a2a2a2+) 2 1 2 0 0 2 0 0 0 2 -w -w 0 0 2 0 0 0 1-w 0 2 0 0 0 1-w 0 1 2 1 1 0 1 -1+w w w 3 -w -w 0 1-w 1 0 0 1-w 3 0 0 0 -w 0 0 0 0 1-w 3 1 0 1 0 0 0 0 0 0 -1+w 3 1-w 1-w 0 1 0 w w 2-w w -w 0 3 1 1-w -w 0 w 0 0 0 -1+w 1-w 0 w 3 -w -w -w -w 1 1-w 1-w 1-2w 1 1-w -1-w 1-w 1-w 4 1 1-w -w 1 -1+w 1 w 2-w w -1 0 2-w 1 w 4 |Aut| = 2^11*3^7 #short vectors: 0 126 14076 &Hlattice (#159 <- a3a3a2a2a2-) 2 1 2 0 0 2 0 0 0 2 -1+w -1+w 0 0 2 0 0 0 w 0 2 0 0 0 w 0 1 2 1 1 0 1 -w 1-w 1-w 3 -1+w -1+w 0 w 1 0 0 w 3 0 0 0 -1+w 0 0 0 0 w 3 1 0 1 0 0 0 0 0 0 -w 3 w w 0 1 0 1-w 1-w 1+w 1-w -1+w 0 3 1 w -1+w 0 1-w 0 0 0 -w w 0 1-w 3 -1+w -1+w -1+w -1+w 1 w w -1+2w 1 w -2+w w w 4 1 w -1+w 1 -w 1 1-w 1+w 1-w -1 0 1+w 1 1-w 4 |Aut| = 2^11*3^7 #short vectors: 0 126 14076 &Hlattice (#160 <- a4a3a2a1a1+) 2 0 2 0 0 2 -1 0 0 2 1 w 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 1 w 1-w -w 1 0 0 0 3 w -w 0 -w 0 0 0 -1+w 0 3 w 0 1 0 w 0 -1+w 1 w 0 3 0 -w -w 0 0 1-w 0 0 -w 1 -w 3 0 -1 0 0 0 0 0 0 0 1-w 0 1-w 3 1 0 -w 0 1 0 0 0 1-w 1 1-2w 1 0 3 0 1-w 0 0 -w 0 1 0 -1 1 -w 0 -1 1-w 3 |Aut| = 2^10*3^4*5 #short vectors: 0 126 14076 758646 &Hlattice (#161 <- a4a3a2a1a1-) 2 0 2 0 1-w 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 1-w 0 0 1-w 1 0 3 -w 0 0 0 1-w 1 1-w 3 -w 0 0 0 -w 0 -w 1 3 1 -w 0 0 1 0 1 w -1+w 3 0 1-w 1-w 1-w 1 0 1 0 0 w 3 0 1-w 1 0 0 1 -1+w 1 1 0 w 3 1-w 1-w 1 1-w 0 0 1 -1+w 0 0 1 0 3 0 -w 0 -w 1-w 0 1-w 0 -1+w 1-w 1-2w 0 1-w 3 1 0 0 1-w 1 1-w 1+w 0 -1+w 1 1 1-w w w 3 |Aut| = 2^10*3^4*5 #short vectors: 0 126 14076 758646 &Hlattice (#162 <- a3a3a2a2a1a1) 2 0 2 0 0 2 0 0 1 2 0 0 0 0 2 0 0 0 0 0 2 1-w 0 0 0 0 0 2 0 1 0 0 1 -w 0 3 -w 1 1-w 1-w 0 0 1-w 1 3 0 0 1 1 1-w 0 0 1-w w 3 1 1-w 0 0 0 -w w 2-w 0 w 3 -w 0 0 0 1 1 1-w 0 1 1 -w 3 -w -w 1-w 1-w 0 0 0 -w 1-w 0 1-w 0 3 1 0 0 0 1-w -w 1 1 w 1 1 0 -1 3 1 1 0 0 -w 0 w 0 w -w w -1 -1+w 1 3 |Aut| = 2^11*3^5 #short vectors: 0 120 14040 758970 &Hlattice (#163 <- a4a3a1a1a1a1) 2 1-w 2 1-w 1 2 w -1+w -1+w 2 0 0 0 0 2 0 0 0 0 0 2 -1 -w -w -1+w 0 1-w 3 w -1 0 1 0 0 1-w 3 0 -1+w 0 1-w 0 0 -1 1-2w 3 0 0 1-w -w 0 0 -1+w 1-w 1 3 1-w 0 0 -w 0 0 -1+w -w 1-w 1-w 3 0 0 w 0 w 0 -1 -1+w 0 -1+w 0 3 0 0 1-w -1 0 0 -1+w -w 1-w 2-w 1 -w 3 1 w w 1 1-w 0 -1 0 0 -1+w -1+w 1-w -1 3 0 1 1 -w -w 0 -1+w -1+w -w 1 0 -w w 1-2w 4 |Aut| = 2^12*3^3*5 #short vectors: 0 120 14040 758970 &Hlattice (#164 <- a4a2a2a2a1) 2 0 2 0 1 2 0 0 0 2 0 0 0 -w 2 1 0 0 -w 1 2 0 0 0 0 0 0 2 0 -w -w 1 -1+w -1+w 1 3 0 -w -w -w 0 0 -1+w 0 3 1 0 0 1 0 0 0 1 -1+w 3 1-w 1 0 -w 0 1-w 0 0 w 1-w 3 0 1-w 1-w 1 0 0 -w 0 -1+2w 0 0 3 -w 0 -w 0 0 0 0 0 1-w -w 0 0 3 1 1 1-w -w 0 1 0 0 w 1-w 1+w 0 w 3 0 1 0 1 -1+w -1+w -w 0 -1+w 0 0 1 0 0 3 |Aut| = 2^8*3^6*5 #short vectors: 0 120 14040 758970 &Hlattice (#165 <- a3a3a3a1a1) 2 1 2 0 0 2 0 0 0 2 0 -w 0 0 2 0 0 0 -w 0 2 1 1 -1+w w 0 0 3 1-w 1-w 1-w 0 0 0 -w 3 -w 1-w -1 0 0 0 1-w 1-w 3 -1+w -1+w 1-w 0 1-w 0 -1+w 0 -1+w 3 0 w -1+w 0 0 0 1 -1+w w 0 3 -w -w 0 0 0 0 1-w 1-w 1 -1 0 3 0 -1 0 0 0 0 -w -1 -w -1+w -1+w 1-2w 3 -w 0 w w 0 -1 1-w -1+w 0 -1+w 1 0 1-w 3 -w 0 1-w 0 0 0 -1 2-w w 1 -w 0 -1-w -w 4 |Aut| = 2^12*3^5 #short vectors: 0 120 14040 758970 &Hlattice (#166 <- a3a3a3a1a1+) 2 0 2 0 1 2 0 0 0 2 0 0 -w 0 2 0 0 0 1 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1 2 0 0 0 0 0 0 1 1 2 1-w 1-w -w 0 1 0 0 0 0 3 1-w -1 -1 0 1-w 0 -1 -1 -1 1-w 3 0 -w -w 1 1-w 0 0 0 0 1-w w 3 0 0 0 1-w 0 1-w -1+w 0 -1+w 0 1-w -w 3 1 0 0 1-w 0 1-w -1+w -1 -1 w 1 0 1 3 0 0 -w 1-w 1 1-w 0 0 0 1 1 0 1 1 3 |Aut| = 2^13*3^4 #short vectors: 0 120 14040 758970 &Hlattice (#167 <- a3a3a3a1a1-) 2 -w 2 1-w w 2 0 0 0 2 -w 1-w 1-w 0 3 1-w 0 1 0 1 3 1-w 1 1 0 w 0 3 1-w 0 1 1-w 0 1 1-w 3 1-w 0 1 0 1+w w 1-w 1 3 1 -1+w w -w -1 w 0 1 0 3 1-w 1 0 -w -1+w 0 1 1 -1+w 1-w 3 0 0 0 1-w 0 -1+w 1-w 1 1 w 0 3 -w 1-w 0 0 1 1-w 1 0 0 -1 1-w -1 3 1-w 1 1-w 1-w w 1-w 1 1 0 0 1+w 0 w 3 -w 0 0 1-w 1 0 1-w 0 1-w w 0 1 1-w 1-w 3 |Aut| = 2^13*3^4 #short vectors: 0 120 14040 758970 &Hlattice (#168 <- a4a2a2a1a1a1) 2 0 2 0 1-w 2 0 0 0 3 1-w -1+w 0 -1-w 3 1-w -1+w -1 1-w w 3 0 0 0 -1+2w -w -1 3 0 1 0 -2+w 1-2w -w w 3 0 1-w 0 0 -1 0 1 1-w 3 1-w 0 1-w 0 1-w w 0 w -1+w 3 w -w 0 0 -1+w -1+w -w -w 1-2w -1+w 3 0 0 0 -1-w 1 1-w -1+w w 1 -w 0 3 1 0 -w 0 0 w 0 0 0 1 1-w 0 3 -w 1-w 1 0 -w -w 0 1-w 1 1-w 0 1 0 3 -w 0 0 1 0 1-w 1-w -1 1-w 0 0 0 1-w 1 3 |Aut| = 2^9*3^4*5 #short vectors: 0 114 14004 759294 &Hlattice (#169 <- a3a3a2a2a1) 2 1 2 1 1 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 -1+w 2 -1+w -1+w -1+w 0 1 1-w -1 3 1-w 1-w 1-w 0 0 0 0 -1 3 0 0 0 1 0 1 -w w 1-w 3 0 0 0 0 w 1-w -1+w 1 -1+w -w 3 0 0 0 -1+w 0 -1 w -1 1-w -1+w -w 3 -w -w -w 0 1 -1 w 0 1-w 0 1-w 1 3 w w w 0 -1 0 0 -w -1+w -w 0 0 -1-w 3 -1+w -1+w -1+w w 0 0 0 1 -2+w -1+w 0 -w -1 0 3 |Aut| = 2^10*3^5 #short vectors: 0 114 14004 759294 &Hlattice (#170 <- a3a3a2a2a1+) 2 0 2 0 0 2 0 0 w 2 0 -1+w 0 0 2 0 0 0 0 0 2 -1 -w 1 -w -1+w 0 3 -1 w 1-w -w 1-w 0 0 3 w 0 -w -1 0 0 -w 1-2w 3 0 0 -1 -1+w 0 0 -w -w 1 3 0 0 -1 0 0 0 -1+w 1-w 0 0 3 -1+w 0 1 1-w 0 1-w 1 1 -1+w -1 0 3 1-w 0 -1 w 0 0 -2+w -1 1-2w 1-w 1 -2+w 3 w 0 0 -1 0 0 1-w -w 1 1 -w -w -1+w 3 0 1 -1+w 0 0 0 w -w 0 w 1-2w 0 -w w 3 |Aut| = 2^10*3^5 #short vectors: 0 114 14004 759294 &Hlattice (#171 <- a3a3a2a2a1-) 2 0 2 1-w 0 2 0 0 0 2 0 0 0 0 2 0 0 0 0 1 2 0 0 0 0 -w 0 2 1 1 w 1-w 0 0 -1 3 1-w 1 1-w 1 0 0 0 1 3 0 0 0 1 1 1 0 w 1 3 1-w 0 1-w 0 -w 1-w 1 -w 1 -w 3 w 0 -1+w 0 1-w 0 w 0 -1 0 -1+w 3 1 0 0 -w 1 0 0 0 0 0 0 1 3 1 -w 0 0 1 1 0 0 0 1 w 0 1 3 -w 1 1-w 0 1 0 -1+w 1-w 1 0 0 -1+w 0 0 3 |Aut| = 2^10*3^5 #short vectors: 0 114 14004 759294 &Hlattice (#172 <- a3a3a2a2a1+) 2 0 2 0 1 2 1-w 0 0 2 0 -w 0 0 2 -w -w 0 0 0 3 1 -w -w 0 0 0 3 1 1 0 w -1+w -1+w 0 3 1-w 1-w 0 1 0 w 1 1-w 3 0 0 0 -w 0 0 w -w 0 3 1 1-w 0 0 w w w 1-w w w 3 -w 1-w 1-w 0 0 1 0 -w 1 0 1-w 3 -w 1-w 1-w 1-w 0 0 0 -w 1-w 0 0 1 3 1-w 1 0 1 -1+w w 0 1-w w 0 w w w 3 1-w 1 1 1 -1+w 0 0 1 1 -1 0 w w 1 3 |Aut| = 2^11*3^5 #short vectors: 0 114 14004 759294 &Hlattice (#173 <- a3a3a2a2a1-) 2 0 2 0 0 2 0 1 0 2 0 1 0 0 2 1-w 0 -w 0 0 3 0 -w 1 1-w 0 -1 3 1 -w 1 -w 0 w 1 3 -w -w 0 1-w 0 0 1 0 3 0 -w 0 -w 0 -w 1 0 1 3 0 0 1 -w 0 0 0 1 1-w 0 3 -w 1 0 1-w 0 1-w 0 0 0 -1+w 1 3 -w 1-w 0 1-w 0 -w 1 0 w w 0 2-w 3 1-w 0 1 0 0 w 0 1 0 -w 1 w 0 3 -w 1 0 0 0 0 -1 0 -1+w -1 0 2-w 1 1-w 3 |Aut| = 2^11*3^5 #short vectors: 0 114 14004 759294 &Hlattice (#174 <- a4a2a2a1a1) 2 1 2 1-w 0 2 1 0 w 2 0 0 0 0 2 1-w 1-w 1 0 1-w 3 1-w 0 1 1-w 1 w 3 1 0 0 1 1-w 0 1 3 -w -w 0 0 0 0 0 0 3 1-w 1-w 1 0 0 1 0 0 1 3 -w 0 1-w -w 1 0 1-w 0 1 1 3 -w -w 1-w 0 0 1-w 1-w 0 w 1-w 0 3 1 1-w 0 1 0 0 0 1 0 1-w 0 0 3 1 1 0 0 1 w 0 1 -1 1 1-w -1+w 1 3 1 0 w 1 0 w 0 1-w 0 1 0 0 1 1 3 |Aut| = 2^9*3^5*5 #short vectors: 0 108 13968 759618 &Hlattice (#175 <- a3a3a2a2) 2 1-w 2 0 0 2 0 0 1 2 0 0 1 0 2 0 0 -w 0 -1 3 -w 0 -w 0 -w 1 3 w 0 0 0 0 -w -w 3 1 0 1 1 0 -1+w -1+w 1-w 3 0 0 1 1 1-w -1+w w 0 1 3 1 0 1 1 0 w -1+w -w 1 0 3 1 w 0 0 0 -1+w -1 1-2w 1-w 0 w 3 1-w 1-w 1 0 1 -1 -1+w 1-w 1 w 1-w 0 3 1-w 1 1 1-w 1 -1+w -1+w -1 1-w 1 1-w 1-w 1 3 1-w 0 -w 1-w -w w 1+w -1 1-w 1-w 1-w -w -w 1 4 |Aut| = 2^10*3^6 #short vectors: 0 108 13968 759618 &Hlattice (#176 <- a3a2a2a2a2) 2 0 2 0 1-w 2 -w 0 0 2 1 0 0 -1+w 2 0 1-w 0 0 0 3 1-w 0 0 0 1 -w 3 1-w 0 0 w 1-w 0 0 3 0 -1 1-w 0 0 -w 0 1-w 3 -1 1-w 1 1 -w 0 -w -w 0 3 -w 0 0 1 -w 1-w 0 2-w w w 3 1-w 0 0 w 0 0 0 1 0 -1+w w 3 0 -w 1-w 0 0 w -w 0 0 1-w -1+w 1 3 0 1 -1+w 0 0 w -w w -2+w -1+w w 1 0 3 -1+w -1 0 -w -1+w 1-w -1 -1+w w -w 0 0 1-w 1-w 3 |Aut| = 2^9*3^6 #short vectors: 0 108 13968 759618 &Hlattice (#177 <- a3a3a1a1a1a1a1a1) 2 0 2 0 -1+w 2 1-w 0 0 2 -1 0 -w -w 3 -w -1 0 0 1 3 0 0 0 0 w -1+w 3 0 -w -1+w -w 1-w 0 -1 3 0 0 0 1 -1+w -1 w -1+w 3 0 0 w 0 -1 -1 1 1-w -w 3 1 -1 0 0 0 w -1+w 1-w 0 -1 3 0 -w w 0 -1 0 -1 1 0 1 -1+w 3 -1 0 0 -1 0 1-w -1+w 0 w -1+w -w 1 3 w 0 0 0 0 -w -1 w w -1 w 0 0 3 1 -1+w 1 -1+w -1+w -1+w 1 -w 1 0 1-w -w 1-w 1-w 4 |Aut| = 2^14*3^4 #short vectors: 0 108 13968 759618 &Hlattice (#178 <- k3a2a2a2) 2 1-w 2 0 0 2 0 0 -w 2 0 0 0 0 2 0 0 0 0 1 2 1-w 1-w 0 0 1 w 3 -w 1-w 1 0 0 0 1-w 3 1-w 0 1-w 0 -w 0 1-w 1 3 0 0 -w 1-w 1 1-w 0 0 0 3 0 0 1-w 1 1 1-w 0 1-w 0 1+w 3 1 w -w 1 -w 0 0 -1 1 0 1-w 3 0 1 0 0 0 0 w 0 -1 0 0 0 3 1-w 1-w 0 0 0 0 1 w w 0 -1 -w 0 3 1 1 0 0 1 1-w w 0 -1+w 0 1 0 0 w 4 |Aut| = 2^6*3^11 #short vectors: 0 108 13968 759618 &Hlattice (#179 <- k3k3) 2 0 2 0 1 2 0 0 0 3 0 -w -w 1 3 0 0 0 1-w -w 3 0 0 0 -w 1-w w 3 -w 0 0 1-w 1-w w w 3 0 0 0 -1+w w 0 1 0 3 1 0 0 0 -w 1 1-w 0 -1 3 0 0 0 w 1+w -2+w w w 2-w -2+w 3 0 0 0 0 0 1-w 1 1-w 1 1 0 3 0 -1 -1 -1 1-w -1 w 0 -1+w w 0 w 3 0 0 0 1-2w -w 1 w 2-w -1 w -w w w 3 0 -w -1 0 1 -1 -1+2w 1 0 -1+w 1 w 1+w 1 3 |Aut| = 2^10*3^13 #short vectors: 0 108 13968 &Hlattice (#180 <- k3a1a1a1a1a1a1a1a1a1) 2 1-w 2 1 1 2 0 0 0 2 0 0 0 0 2 1 w 1 1 0 3 0 0 0 w 0 -1+w 3 1 w 1 0 -1+w 1 0 3 0 0 0 1 -1+w 1-w 0 1 3 1-w 1-w 1-w 1 0 1-w 1-w -w 0 3 -w 1-w 1-w -w 1 -w 0 -w -w 1-w 3 -w 0 -w 0 1 1-w 0 -w 0 0 1 3 1-w 1-w 1-w 1-w 0 1-w 0 -w 0 1 w w 3 0 0 0 1 -1 1 0 1 1+w 0 -1 -1 w 3 1 0 1-w 1 0 2-w 0 0 0 1+w -1+w w 1 -w 4 |Aut| = 2^14*3^7 #short vectors: 0 108 13968 759618 &Hlattice (#181 <- a2a2a2a2a2a2) 2 0 2 0 0 2 0 0 0 2 0 0 0 -w 2 1-w 0 0 0 0 2 1-w 1-w 0 0 0 1 3 -w 0 1-w -w 0 0 -w 3 0 -w 0 -1 0 0 1 -w 3 -w 0 0 0 0 1-w 1 0 0 3 1-w 0 0 1-w w 0 0 w 0 0 3 1-w 1-w 0 -w 0 0 1-w 1+w w 0 1 3 1 0 0 -w 0 w -1+w 1 -1+w w 0 1 3 1-w 0 -w 1 0 1 1-w w -1 0 w w 0 3 -w 0 1-w 1-w 0 1-w 0 1 -1+w w 1-w 0 0 1-w 3 |Aut| = 2^8*3^9 #short vectors: 0 108 13968 &Hlattice (#182 <- a2a2a2a2a2a2) 2 1-w 2 0 0 2 0 0 -w 2 0 0 0 0 2 0 0 0 0 0 2 1 1 0 0 0 0 3 -w 1-w 1 0 0 -1+w 1-w 3 1-w 1-w 1-w 1 0 0 1-w 1 3 1-w 1 1 -1+w -w 0 0 w w 3 -w 0 1-w 0 0 0 -1 1-w 1-w 1-w 3 1 w 1 0 0 -1 1-w w w w w 3 1 0 1-w 0 1 0 0 0 1 w w 1-w 3 1-w 0 1-w w 1 0 -w 0 1 1 w 1-w 2-w 3 -w 0 0 0 1-w 0 1-w 1 1-w 0 0 0 -w 1-w 3 |Aut| = 2^10*3^10 #short vectors: 0 108 13968 &Hlattice (#183 <- a3a3a2a1a1) 2 0 2 1-w 0 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 w 0 0 2 0 -1 0 0 1 -w 0 3 -w -1 0 w 0 0 1 1 3 1-w -1 1-w 0 0 1 0 0 w 3 1-w 0 1 0 1-w 1-w 0 1-w 0 1 3 0 1 -1+w 1-w 0 0 0 0 0 -1 -1+w 3 1-w 0 1 w 1 0 1 1 1 w w 0 3 -w 0 0 0 1 1 0 0 1 1-w 1 0 0 3 0 -1 0 w 0 0 0 1 1 1 w -1 1-w -1+w 3 |Aut| = 2^10*3^4 #short vectors: 0 102 13932 759942 &Hlattice (#184 <- a3a2a2a2a1a1) 2 1-w 2 0 0 2 0 0 0 2 0 0 0 0 2 0 0 -w 0 0 2 -w 0 -w 0 0 0 3 1-w 0 1 -w 0 0 -1+w 3 1-w 1-w 0 -w 0 0 0 1 3 1 w -w 0 0 1 0 0 0 3 1 1 1 0 -w -1+w -1+w w w 0 3 -w 1-w 1-w 0 -w w 0 1-w 1 0 1-w 3 -w 1-w 0 1-w -w 0 0 1 1 0 1-w 1 3 1 w 0 1-w 1 0 -1+w w -1+w 1-w w -1+w -1+w 3 1 0 1 1-w 0 -1+w -1+w w w 0 1 w 0 1 3 |Aut| = 2^9*3^5 #short vectors: 0 102 13932 759942 &Hlattice (#185 <- a3a2a2a2a1a1) 2 0 2 1 0 2 0 0 0 2 1-w 0 1-w -1 3 0 1 0 0 0 3 -w 1-w 0 -w 0 0 3 1 1-w 0 0 0 0 w 3 1 0 1-w 1-w -1+w 0 -1+w w 3 -w 1-w -w -1 1-w 1 2-w 1-w -w 3 0 1-w 0 -w 0 1 1 1 1-w 1+w 3 1 1 1 -w w 0 w w 1 -1+2w 1+w 3 1 0 0 -1+w 1-w 1-w -1 1 0 0 0 0 3 1 -w 0 0 1 -w 0 1-w 0 0 0 0 1 3 1 0 0 0 1 -1 -1+w 1+w 1-w -1+w w 1 1 1 3 |Aut| = 2^9*3^5 #short vectors: 0 102 13932 759942 &Hlattice (#186 <- a3a2a2a2a1a1+) 2 0 2 0 0 2 0 0 0 2 0 0 0 w 2 0 0 1-w 1-w 0 3 w 0 -1+w -1 -1+w -1 3 0 -1+w 0 0 0 1 -w 3 0 1 -1+w 0 0 0 0 1-w 3 0 0 0 1-w -1 w w 0 0 3 -1 0 1-w 0 0 1-w -2+w -w -w -1+w 3 0 1-w -1+w w 1-w -2+w 0 -1 1 -1+w -1 3 -1 0 -w 1-w 0 1 -1+w w -1+w 1 1-w -1 3 1 -w 0 -1+w 0 -1 1-w w 0 -1+w -1 1 -1 3 1 1 0 -1 -1+w -w 1 -w 1-w 0 0 -1+w -1 w 3 |Aut| = 2^9*3^5 #short vectors: 0 102 13932 759942 &Hlattice (#187 <- a3a2a2a2a1a1-) 2 0 2 0 0 2 0 0 0 2 1-w 0 0 0 2 0 0 0 0 0 2 1 0 0 1-w w 0 3 1 0 0 -w 1 -w 1-w 3 1 0 1 1 w 0 1 w 3 -w -w -w 0 0 w -1 -1 -w 3 -w 1 0 1-w 0 0 1 0 0 0 3 1-w 0 1-w 0 1 0 1-w 0 1-w w 0 3 1-w 0 1-w 1-w 1-w 0 0 1-w 1-2w w w 1 3 -1 -w 0 0 -1 0 -1 -1 -1+w 1 1-w -w -w 3 1-w 0 0 -w 0 1-w 1-w 1 0 0 1 0 1-w w 3 |Aut| = 2^9*3^5 #short vectors: 0 102 13932 759942 &Hlattice (#188 <- a3a3a2a1a1+) 2 1 2 0 0 2 0 1 0 2 0 0 0 0 2 w w 1-w 0 -1 3 -1 -1 1-w 0 0 w 3 -w -1 -w 0 0 0 1 3 -w -w 1-w 1-w 0 0 1+w 1+w 3 -w 0 -1+w 0 0 -1 -1+w 1-w 0 3 -1 -1 1-w 0 0 0 1 1 1 0 3 -1+w -1+w -1+w 0 -1+w 0 -w -w -w 0 -w 3 -1+w -1+w 0 0 0 -1+w 1-w -w -w -w 1-2w 1 3 0 -1+w 0 0 0 w 1 1-w 1-w 0 -w 1 1 3 -w -w -w 0 0 0 1 1+w 1 0 w -2+w -1 -1 3 |Aut| = 2^11*3^4 #short vectors: 0 102 13932 759942 &Hlattice (#189 <- a3a3a2a1a1-) 2 0 2 0 0 2 0 1-w 0 2 1-w 0 0 0 2 0 0 0 0 0 2 0 1 0 1 0 -1+w 3 0 1 0 w 0 w 1 3 1-w 1 -w 1 1 0 1 1-w 3 0 -w 1-w 1-w 0 0 1-w 0 0 3 1-w 1-w 1-w 1 1 0 0 0 1 w 3 1 -w 0 1-w w -1 0 -1+w 0 1 1 3 0 -w -w 0 0 w -w 1 0 1-w 1-w 1-w 3 1-w -w 1-w 0 0 -1 0 -1 0 1 1 1 w 3 -w 0 0 0 0 -1+w 1 w 0 w 1-w 1-w w 1-w 3 |Aut| = 2^11*3^4 #short vectors: 0 102 13932 759942 &Hlattice (#190 <- a3a3a2a1a1++) 2 0 2 -w 0 2 0 -w 0 2 0 1 0 0 2 1-w 0 0 0 0 2 -w 0 1 0 0 1-w 3 0 -w 0 1 0 0 -1 3 1 0 0 0 0 w 0 0 3 0 1 0 0 1 1-w 1 0 0 3 1-w 1 w -1+w 0 1 w -1+w -w 1 3 -w 1-w 1 w 0 0 0 w 0 0 1-w 3 1 -w -1+w 1-w 0 0 -1 1 0 1-w 0 0 3 0 1-w 0 1 1 0 1-w 0 1 1-w -w 0 w 3 -w 0 1-w 0 0 1 0 w -w w 1 1-w 0 -1 3 |Aut| = 2^11*3^4 #short vectors: 0 102 13932 759942 &Hlattice (#191 <- a3a3a2a1a1--) 2 1-w 2 0 0 2 0 0 0 2 0 0 0 1-w 2 0 0 1 0 0 3 -w 0 -w 1-w 1 -w 3 1-w 1 1-w 1-w 1 1-w 1+w 3 -w 0 1 1-w 1 0 1 1 3 -w 0 0 0 0 0 1 0 1 3 1-w 1 1 1-w 1 1 w 1+w 1 0 3 0 0 0 w 0 w -1+w -1+w -1 -1+w 0 3 1 w 0 1-w 1 0 1 1 w -1+w w -w 3 0 0 w 0 0 -1 0 0 w w -1+w -w 1 3 -w 0 0 -w 1-w -1+w 1-w 1-w 2-w 1-w 1-w -1+w -w -w 3 |Aut| = 2^11*3^4 #short vectors: 0 102 13932 759942 &Hlattice (#192 <- a3a2a2a1a1a1a1) 2 -w 2 0 0 2 0 0 1-w 2 0 0 0 0 2 -1 1-w 0 0 -1 3 -1 1-w -w 1-w -1+w 1-w 3 1-w 0 0 0 0 -1+w -w 3 0 0 -1+w -1 1-w -1+w -w 0 3 1-w w 0 0 -w w -1+w 1 0 3 -1 -w 0 0 0 1 0 1-2w w -w 3 0 0 -1 -w 0 -1+w 1-2w 1 1 0 0 3 0 0 -1 -w 0 -1 1-w 0 1 -1 -w 1 3 w -1 0 1-w 0 0 -w 0 0 -1+w 1-w 1 0 3 0 0 1 0 0 1-w -1+w -w -1+w 1-w 1 -1 -2+w 1-w 3 |Aut| = 2^11*3^4 #short vectors: 0 96 13896 760266 &Hlattice (#193 <- a3a3a1a1a1a1) 2 0 2 0 1-w 2 0 1-w 0 2 0 -w 1-w 0 3 0 1 w 0 w 3 0 1-w 1-w 0 w 1 3 0 1-w 1-w 0 0 -w 1 3 0 -w 0 1-w 1 1 1-w 0 3 1-w -w 0 1-w -w -w -w 1-w 1-w 3 0 1 0 w w w 1 0 w -1+w 3 0 1-w 1-w 1 1-w 1-w 1 1 0 w 1-w 3 0 1-w 1-w w 1+w 1-w 1 1 w -1+w 1 w 3 0 -w 1-w 0 2-w 1-w 1-w 1-w 1 w -w 1 1-w 3 1-w 1 0 0 -1+w 0 w w -1+w 0 w 0 w -1 3 |Aut| = 2^13*3^3 #short vectors: 0 96 13896 760266 &Hlattice (#194 <- a3a2a2a2a1) 2 0 2 0 0 2 0 1-w w 2 -1+w 0 0 0 2 0 1 0 0 0 3 1 0 -1 -1+w -w -w 3 w w 0 0 0 w -1+w 3 0 0 1-w -w 0 0 w 1-w 3 0 0 0 0 0 0 w 1-w 0 3 0 -w 1-w -w 0 1-w 0 -1 1-w -w 3 0 0 1 1-w 1-w 0 -1 0 w -1 0 3 -w 1 -1 w -1+w w -w 0 -1 0 -1 -1 3 w 0 0 0 0 1 -1+w 1 -1 1+w 0 -1 0 3 w -w 1 1-w 1 -w -1+w 0 w 0 1 w -1-w 1-w 3 |Aut| = 2^9*3^5 #short vectors: 0 96 13896 760266 &Hlattice (#195 <- a3a2a2a1a1a1a1) 2 1 2 0 0 2 0 0 0 2 0 0 0 0 2 0 0 0 0 1-w 2 -w -w 0 0 0 0 2 0 0 0 -w 0 0 -1+w 3 -w 1-w 0 1 0 0 w w 3 1 0 0 1-w -w 0 0 -1+w 0 3 1 1 -w -w 0 0 -1+w 1 0 1-w 3 1 0 1 1 0 0 0 -1+w 0 1 -1+w 3 1-w 1-w 0 -w 1-w 0 w 1 1 1 1 -w 3 1-w 0 0 1-w 1-w 0 0 0 0 1 1 1-w 1 3 1 1-w 1-w 1-w 1 1 w 0 1-w w 1 1 w w 4 |Aut| = 2^12*3^4 #short vectors: 0 96 13896 760266 &Hlattice (#196 <- a3a3a1a1a1) 2 0 2 -1+w 0 2 -1+w 0 1 2 0 0 0 0 2 0 0 0 0 0 2 1-w 0 -1+w 0 -1 0 3 0 -1 0 -1+w 0 0 -1+w 3 w 0 -w 0 0 0 -1+w 1-w 3 1 0 -w 0 -w 0 -1+2w 1 1 3 1-w 0 -1+w -1+w w 0 1 1-w -w -w 3 0 -1 0 0 -w 1-w w 1 -1+w 1 0 3 0 -1 0 0 1 0 0 1-w 0 -1 1-w 0 3 -1+w 1-w 1 w 0 0 -1 w -1+w w 0 w -1+w 3 -1+w -1+w 1 1 -1+w 0 -w -w 0 -1 0 -w 0 0 3 |Aut| = 2^11*3^4 #short vectors: 0 90 13860 &Hlattice (#197 <- a2a2a2a2a1a1a1) 2 0 2 0 1-w 3 -1+w -1 -1+w 3 0 -1 -w w 3 -1+w 0 0 w 1 3 0 0 0 0 0 0 3 1 1 w -w -1 -1 -1 3 -w 1-w 1 -1+w -1 -1+w 1-w 1-w 3 1 -1 0 1 1 -w -w w 0 3 0 0 0 0 1-w 1 0 0 0 0 3 0 -1 -w 0 0 -1+w -w -1+w 1-w 1 0 3 0 0 -1+w 1 0 -1+w -1+w 1 0 1-w -1+w 1-w 3 -1+w -1 -1 1+w 1 1 1 -1 -w w 1-w 0 0 3 -w 0 0 -1+w -1 0 -1 0 1-w 0 1-w 1-w -1+w -1+w 3 |Aut| = 2^9*3^6 #short vectors: 0 90 13860 760590 &Hlattice (#198 <- a3a2a2a1a1a1) 2 0 2 0 0 2 1 1-w 0 2 0 0 0 0 2 1 0 1-w 1 1-w 3 0 -w 1 1-w 0 0 3 1 0 0 1 1-w 1 1 3 1-w 0 0 1-w 0 1-w 1 1-w 3 1 1-w 0 1 1 w 0 1 0 3 1 1-w 1-w 1 0 1 1-w 1-w 0 1 3 0 -w -w 1-w 0 1-w 1-w 0 -w 1-w 1-w 3 1 1-w 0 1 -w 1 0 1-w 0 2-w 1 w 3 0 -w 1 1-w -w 1 1 1-w 1 1-w 0 w 1 3 1 0 1 1 1-w 1+w 0 1 -1+w 1-w 1 0 1 w 3 |Aut| = 2^9*3^5 #short vectors: 0 90 13860 760590 &Hlattice (#199 <- a3a2a2a1a1a1) 2 0 2 -w 0 2 w 0 -1 2 -1 0 1-w -1+w 3 -1 -1 0 -1+w 1-w 3 0 0 0 0 -1+2w 0 3 0 0 0 0 -1+w 0 1+w 3 1-w 0 -1+w -w -1+w -1+w 0 1-w 3 1 0 -1+w 1-w -1+w -2+w 0 0 1 3 w 0 0 0 -w -w -1 -1 0 w 3 -1+w 1 -w 1 1-w -1 0 0 -1+w w w 3 -1+w 0 -w w 1-w 0 -w 0 -1+w w 0 1 3 0 -w 0 -1+w 0 w -1+w 0 1-w 0 1-w -1 0 3 0 1 0 0 w -1 1 w -1 0 -1 w -1+w -1 3 |Aut| = 2^9*3^4 #short vectors: 0 90 13860 760590 &Hlattice (#200 <- a3a2a2a1a1a1+) 2 1-w 2 0 0 2 0 0 0 2 -1+w -1+w -1+w 0 3 0 w -1 w 1 3 -1+w -1+w 0 0 1 w 3 0 1-w 0 0 -1 -w -1-w 3 1-w 1 -1 0 -1 1 -w w 3 1 1 w 0 1-2w -w -w 1 0 3 1 0 w 0 -w -1-w -1 1-w 0 1 3 0 0 1-w 0 -w w 0 -1 w -w -w 3 0 0 w 1-w 1-w -w -w 0 0 1 1 w 3 0 0 -1 -1+w 1 1 -1+w -w 0 0 -1+w 0 -1 3 -1+w -w -1+w 0 1 -w -1+w 1-w -w w w -1 0 1 3 |Aut| = 2^9*3^4 #short vectors: 0 90 13860 760590 &Hlattice (#201 <- a3a2a2a1a1a1-) 2 0 2 0 1-w 2 0 -1+w 0 3 0 0 1 1+w 3 0 1 w 0 w 3 0 -w 0 -1 -1+w -w 3 0 0 0 -1+w w w 1-w 3 1 -1 0 0 0 -1 1-w 0 3 -w 0 0 -1 0 0 1-w 1+w 0 3 0 -1+w -1 1 0 -w 0 -1-w 0 -1 3 w -1+w 0 1 0 -1 0 -1+w 1 -1 1-w 3 0 0 0 -1 0 -w 0 -1+w 1 1 1-w w 3 -w 1-w 1-w 0 1-w 1-w -1+w 1-w -1 1-w -1+w -1 0 3 -1+w 0 0 1 0 -1 w -1+w -1+w -1 1-w 1 -w -w 3 |Aut| = 2^9*3^4 #short vectors: 0 90 13860 760590 &Hlattice (#202 <- a2a2a2a2a2) 2 -w 2 0 0 2 0 0 0 2 0 0 0 0 2 0 0 0 0 1-w 2 -w 1-w 0 0 1-w 1-w 3 0 0 1 0 0 0 -1 3 1-w 0 1 0 1 w w 1 3 0 w 0 1-w 0 0 -1 0 0 3 0 0 0 1-w 0 1-w 0 1 1-w 1 3 1 0 -w 0 1-w 0 1 -1 0 0 -1 3 1-w 0 0 0 0 0 1 -1 1 w 0 1 3 0 0 1-w 1 w -1+w -1 1 1 1 w 0 -w 3 1-w 0 1-w -w 0 0 1 0 1 0 0 1 1 0 3 |Aut| = 2^8*3^7 #short vectors: 0 90 13860 760590 &Hlattice (#203 <- a2a2a2a2a2+) 2 0 2 -w 0 2 0 1-w 0 2 -w -w 1 0 3 0 1-w 0 1 1 3 -w 1 1 w 1 1+w 3 0 -w 0 1-w 1 1-w -w 3 1-w 0 w 0 0 1-w 0 0 3 1-w 1 1 w w w 1 -1+w 0 3 1-w 1-w w 1 w 1 1 -1+w w 1 3 1 0 -1+w w -1+w w w -1+w 0 w w 3 -w 1-w 1-w 0 w w 1 0 -w 1-w 0 0 3 1-w 0 w 0 1 0 w 1 w 0 1 -w -1+w 3 1-w 0 1 0 0 -w 0 1-w 1-w 1 0 -w w 1-w 3 |Aut| = 2^7*3^7 #short vectors: 0 90 13860 760590 &Hlattice (#204 <- a2a2a2a2a2-) 2 0 3 -1+w 1+w 3 1 -w -w 3 1-w 0 0 -1+w 3 w -1 0 0 w 3 -w 0 0 1-w -w -1+w 3 0 -w 0 1 -1 -1 0 3 0 w w 0 0 1-w 0 -1+w 3 -1 0 -1+w -w -1 w -w -1 w 3 0 1 0 1 -w 0 1-w -1+w 1 w 3 -w w 0 -1 1 -1 0 -w 0 -1+w -1+w 3 0 0 1-w 0 1-w 1-w 0 -1 -w 0 0 0 3 0 -w -1 w 1-w 1 -w -1+w w w 1 -w 0 3 1-w 0 -1 1-w 1-w -w w -1+w 1 0 1 0 0 0 3 |Aut| = 2^7*3^7 #short vectors: 0 90 13860 760590 &Hlattice (#205 <- a2a2a2a2a2+) 2 -w 2 0 0 2 0 0 1-w 2 0 0 0 0 2 1 -1+w 1-w 1 1-w 3 1-w 0 1-w 0 0 0 3 -w 1 -w 1-w 0 1-w 1-w 3 1-w w 1-w 0 0 1-w 1 w 3 -w 0 0 1 0 1-w -w 0 0 3 1-w w 1 w -w 1 1 -1+2w w w 3 1 0 0 0 1-w 1 w 0 0 -1+w w 3 1 -1+w 0 0 0 1 -1 -1+w w 0 0 -1 3 1 0 1-w 0 0 1 1 0 0 -1+w 0 1-w w 3 0 1-w 0 0 1 -1+w w 0 -w -1 -1+w w -w 0 3 |Aut| = 2^8*3^7*5 #short vectors: 0 90 13860 &Hlattice (#206 <- a2a2a2a2a2-) 2 -1+w 2 0 0 2 0 0 w 2 0 0 0 0 2 1 -w w 1 w 3 w 0 w 0 0 0 3 -1+w 1 -1+w w 0 w w 3 w 1-w w 0 0 w 1 1-w 3 -1+w 0 0 1 0 w -1+w 0 0 3 w 1-w 1 1-w -1+w 1 1 1-2w 1-w 1-w 3 1 0 0 0 w 1 1-w 0 0 -w 1-w 3 1 -w 0 0 0 1 -1 -w 1-w 0 0 -1 3 1 0 w 0 0 1 1 0 0 -w 0 w 1-w 3 0 w 0 0 1 -w 1-w 0 -1+w -1 -w 1-w -1+w 0 3 |Aut| = 2^8*3^7*5 #short vectors: 0 90 13860 &Hlattice (#207 <- a3a2a2a1a1) 2 1-w 2 0 1 2 0 0 0 2 1-w 1 1 -w 3 0 1-w 1-w 1 -1 3 w -1+w 0 1-w -1+w 0 3 1-w w -1+w 0 w -1 -w 3 0 0 0 1 0 w 1 0 3 1 0 0 0 -1+w 1-w 0 w -1 3 0 0 0 0 -1+w 1-w -w 0 -w w 3 0 0 0 -1 2-w -1 -1 -w 0 -1 -w 3 -1 0 0 -w 1-w -1 0 -w 0 -1 0 1 3 0 -1+w -1+w -w w -1-w 1-w 1 -w -w 0 w w 3 -1 -w -w -w 1-w -w 0 -1 -w -1 -w 1 1 1 3 |Aut| = 2^9*3^4 #short vectors: 0 84 13824 760914 &Hlattice (#208 <- a3a1a1a1a1a1a1a1a1) 2 w 2 0 0 2 -w -1 0 2 -1+w 0 1 1-w 3 0 0 0 0 w 3 0 0 -w -w 1-2w 0 3 0 1-w w 0 w 0 -1 3 w 1 0 -1 1-w 1-2w 1-w 0 3 0 w w 0 -1+w w -1 w -1+w 3 1-w -w 0 w 0 -w -1+w 1-w -w -1 3 0 -1+w -w 1 0 0 w -1 -1+w 0 1-w 3 1-w -w 0 -1+w -1 1 1-w 0 0 0 w -1+w 3 0 0 -1 w -1+w 1 -w -1+w 0 0 w 1 1-w 3 0 0 -1 0 -1 0 -w w 0 1 -1+w 0 0 1 3 |Aut| = 2^15*3^3 #short vectors: 0 84 13824 760914 &Hlattice (#209 <- a2a2a2a2a1a1+) 2 0 2 0 1-w 2 0 0 0 2 1 -w 0 0 3 0 -w 1-w -1+w 0 3 0 1-w 1 0 w w 3 -w 1-w 0 0 1 -1+w 0 3 0 1-w 0 0 1 1 1 1-w 3 -w 1-w 1 0 0 w 1-w 1 0 3 0 1-w 1-w 0 0 1 -w 0 1 1-w 3 1 0 0 w 1 0 1-w 0 0 w -1+w 3 1 1 0 0 0 w 0 0 w w w 1 3 1-w 1 0 0 -1+w -w 0 -1+2w 0 w 1 0 1-w 3 1-w 1 1 0 -w -1+w 0 w 0 1+w w 1-w 1 1 3 |Aut| = 2^8*3^5 #short vectors: 0 84 13824 760914 &Hlattice (#210 <- a2a2a2a2a1a1-) 2 0 2 -w 0 2 0 1-w 0 2 1-w -1+w 1 -1 3 0 0 1-w -1+w 1-w 3 0 -1 w 0 w -1 3 1-w 0 0 0 -w 1 -1 3 0 0 1-w 0 1 w -w -1+w 3 1-w 1-w 0 0 0 0 -1+w 1 0 3 1-w 1 1 w 1-w 1 -w w 1 w 3 w 0 0 0 w 0 1-w -2+w 0 -1+w w 3 1 0 0 0 w 0 1-w 0 w 1 w 1 3 -w 0 1 0 1-w -1+w 1-w w 0 0 1-w -w -1 3 -1+w 1-w -w 1 -1 -w -1+w -1 0 w -w 0 -1+w -w 3 |Aut| = 2^8*3^5 #short vectors: 0 84 13824 760914 &Hlattice (#211 <- a3a2a1a1a1a1) 2 1 2 0 0 2 0 0 0 2 0 0 0 -1 2 0 1 0 -1 1 3 -w -1 w 0 0 -1 3 -w -w -1+w 0 0 -w 1+w 3 0 0 -1 1 0 -w -1+w w 3 1-w 1-w w 0 0 0 w 1 -w 3 -w 1-w 0 0 0 1 0 w 0 1 3 0 w 0 w -w 0 -w -1 w -1+w -1+2w 3 -w 1-w 1 0 0 1-w 0 0 0 1 1 1-w 3 1 w 0 0 0 w 0 -1+w -1+w w -1+w w -1+w 3 1 1 w 0 0 1 w w -w 1+w 1 -w w 1 3 |Aut| = 2^9*3^3 #short vectors: 0 78 13788 761238 &Hlattice (#212 <- a2a2a2a2a1) 2 0 2 0 0 2 1-w 0 0 2 0 0 0 0 2 -w 0 w 0 0 3 1 1 0 0 -w -1+w 3 1 0 -1 w 1-w -1+w 1 3 -1 0 1 -w 0 1-2w 0 -1 3 w 0 0 0 0 -1 w 0 -w 3 w 0 0 -1+w 0 0 0 1 0 0 3 1-w -w 0 0 0 w 1-w 0 -1+w 1-2w -1+w 3 -1 -w 1-w -w 0 1-w -w -1 1 0 w 1-w 3 -w 0 0 0 0 w 0 0 0 -1+w -1 0 -1+w 3 0 0 0 0 0 1-w w -1+w w 1 -1 w 0 1-w 3 |Aut| = 2^7*3^5 #short vectors: 0 78 13788 761238 &Hlattice (#213 <- a2a2a2a1a1a1a1) 2 0 2 0 0 2 1 0 0 2 0 0 0 0 2 0 0 -w 0 0 3 -w 0 1 1-w 0 -1 3 1-w -w -w 1-w 0 0 1 3 1 0 0 0 0 1 -1 0 3 1 1 0 1 0 1-w -1+w -1+w 1-w 3 -w 0 1-w 0 0 -1+w 1-w 0 0 -w 3 -w 1 0 -w 0 1-w 1 0 1-w 1-w 0 3 -w 1-w -w 0 0 w 0 1 0 -w 2-w 0 3 1-w 0 0 1-w -1+w 1 w 1 0 0 -1 w 0 3 -w -w 0 1-w 0 0 1 1 0 -w 1-w 1 1-w 1 3 |Aut| = 2^9*3^4 #short vectors: 0 78 13788 761238 &Hlattice (#214 <- a2a2a2a1a1a1a1+) 2 0 2 0 0 2 1 0 0 2 1 -w -w 0 3 1 1 0 1-w w 3 1 0 -w 1 1 1 3 -w 1 0 0 -w 0 0 3 0 -w 1 0 0 -w 0 -w 3 1 1-w 0 1 1 1 0 0 w 3 1-w 1 1-w 1-w w 1 0 w 0 1 3 1 0 1-w 0 1 1 w 0 1 1 1 3 -w -w 0 -w 0 -w 0 -w 0 -w -w -w 3 -w 0 -w -w 0 1-w 0 0 0 -w 1-w 1-w 1 3 -w 0 1 0 -1 0 -1 1 0 0 1 0 0 w 3 |Aut| = 2^9*3^4 #short vectors: 0 78 13788 761238 &Hlattice (#215 <- a2a2a2a1a1a1a1-) 2 0 2 0 0 2 0 0 0 2 0 0 0 0 2 0 0 0 0 -1+w 2 1-w 1 1 0 -1 w 3 -w -w 0 1-w 0 0 -w 3 -w 0 1-w -w 0 0 1-w 1-w 3 0 -w 0 0 0 w 1-w 0 1-w 3 0 1 -w 1-w 0 0 1-w w 1 w 3 -w 0 -w 0 -1+w 1 1-2w 1 1-w 1-w 1-w 3 -w -w 1-w 0 -w -1+w 1-w 1 1 1 0 w 3 1 1-w 1 0 0 0 1 w -1+2w -1+w 0 -1+w -1+2w 3 -w 0 -w 0 1-w -1 0 0 1 -1+w w 0 1 -w 3 |Aut| = 2^9*3^4 #short vectors: 0 78 13788 761238 &Hlattice (#216 <- a3a2a2) 2 0 2 0 0 2 0 0 1 2 0 1-w 0 0 2 -w 0 0 0 0 2 -w 1 0 0 w 1 3 1-w 1-w 0 0 1-w 0 0 3 1 1-w 0 0 1-w -1+w -1 1+w 3 0 1 1 1 w 0 0 0 0 3 -w 0 0 0 0 1-w 1-w 1 0 -1+w 3 0 -w 1-w 1-w 1-w 0 -w 0 0 1-2w -1 3 0 1 1-w 0 0 0 1 0 0 1-w -1 w 3 1 0 1 0 0 -1+w -1 0 1 1 -w w w 3 1-w 0 1-w 1-w 0 1 0 0 0 1-w w 1 0 1-w 3 |Aut| = 2^8*3^6 #short vectors: 0 72 13752 761562 &Hlattice (#217 <- a3a2a1a1a1) 2 0 2 0 0 2 1 0 0 3 1-w 1 w 1-w 3 1 0 0 1 w 3 -w 0 0 1-w 0 0 3 0 -w 0 0 -w -1 w 3 0 1-w -1+w 1-w 1 1-w 0 w 3 -w -w w 1-w 1-w -1 1 1-w 1-w 3 0 1 1 -1 1-w 1-w -w -1+w 0 -1 3 1 1 0 1-w w 1-w 0 -1+w w -1+w 1 3 0 0 1-w -1+2w -w 0 -1+w w -1 -1 1-w -1 3 -w 1 1 0 1-w 0 w w 0 0 1 0 1 3 0 -w 0 -w -w -1 1 2-w 1-w 1 0 1-w -1 -w 3 |Aut| = 2^9*3^5 #short vectors: 0 72 13752 761562 &Hlattice (#218 <- a2a2a2a1a1a1) 2 1-w 2 0 0 2 0 0 0 2 0 0 0 0 2 0 0 1-w 0 0 3 1-w 1 0 0 0 w 3 1 w 0 0 0 -1+w w 3 1 1 0 0 0 -1 1 1 3 1-w 1-w -w 1 0 -w 0 0 1-w 3 -w 0 1-w 0 0 w 1-w -w -w 0 3 1-w 1 1-w 1 0 0 1 0 1 1+w 1 3 -w 1-w 0 1 0 1-w 1-2w -w 1-w 1 0 1-w 3 1 w 1-w 1-w 0 1 0 1-w 0 w 1 1 0 3 0 0 1-w -w 1 1-w 0 -1+w -1+w 0 0 0 -w 1-w 3 |Aut| = 2^7*3^5 #short vectors: 0 72 13752 761562 &Hlattice (#219 <- a3a3a3a1a1a1) 2 0 2 0 1-w 3 0 -1 0 3 0 1 -1+w -2+w 3 -w 0 1 0 -w 3 0 0 0 -1 1-w 1 3 -1 w w 0 0 1-w 1-w 3 0 -w -w 1 -w -1+w -1+w -1 3 0 1-w 1 0 1-w 0 -1+w -w w 3 1 0 -w -w -1+w -1 1-w -w 0 0 3 -1+w 1-w 0 -2+w 1 0 0 -w 0 0 -w 3 0 0 0 1 0 -1 0 1 w 0 w -1 3 0 0 -1 w 1 -1 -1 0 w 0 -w 0 1 3 1 -1+w 0 1-w -1+w w 0 0 -w -1+w 1 -1 -w -1 3 |Aut| = 2^8*3^6 #short vectors: 0 72 13752 761562 &Hlattice (#220 <- a2a2a1a1a1a1a1a1) 2 0 2 -1 0 2 0 0 0 2 1-w 1-w -1+w 0 3 -w 1 w 0 w 3 0 w 0 1-w 0 w 3 0 0 -w -w -1 -1 -w 3 1-w 0 -1+w 0 0 w 0 -w 3 0 0 0 0 -1+w w 1 0 -w 3 1 0 0 0 0 0 1-w w -1+w 1-w 3 0 -1+w 0 1 0 0 1+w -1+w -w 1 w 3 0 -w 0 w 0 0 -1+w -w w 0 1-w -1+w 3 1 -1 -w 0 -1 -2+w -1+w 1 w -1+w 1-w -1+w 1 3 0 -1+w 0 -w -w 0 2-w w 0 0 1+w 2-w -1 0 4 |Aut| = 2^10*3^5 #short vectors: 0 72 13752 761562 &Hlattice (#221 <- a2a2a1a1a1a1a1a1+) 2 0 2 0 w 3 1-w 1 1 3 1 -1+w w w 3 1 0 -w -1+w w 3 0 1-w 0 0 -1-w -1 3 1 0 -w 0 1 1 -1 3 0 0 w 0 -1+w 0 1-w -1+w 3 1 1-w 1-w 1 0 w 1-w 1 -w 3 0 1 1-w 1-w 0 -1+w 0 w 1-w w 3 1-w 0 1-w 1-w -w 0 0 -w 0 1-w -1+w 3 0 0 -1+w 1 0 -w 0 -w w 0 -1+w w 3 1-w -w -1 -w -1 0 1-w 1-w 0 1-w -w 1 0 3 -1 w w w -w -w w -1 w -2+w -1+w -1 w -1 3 |Aut| = 2^10*3^4 #short vectors: 0 72 13752 761562 &Hlattice (#222 <- a2a2a1a1a1a1a1a1-) 2 0 2 0 -w 2 0 0 0 2 0 0 0 0 2 0 0 0 -w 0 2 1 1-w w 1 0 -1+w 3 0 1 -1+w 1-w 1-w 0 1 3 -w -w 1 0 1 0 1-w 0 3 0 1 0 1-w 1-w w 1-w 1 0 3 0 -w 1 -w 1 0 1-w 1-w 1 0 3 0 1-w 0 1 1-w -1+w 1 1 1 1 0 3 1 0 0 -w 0 1 -w 0 -1 1-w 0 -w 3 -w 0 0 1 -w w 1-w 0 1-w 1 -1 1-w -1+w 3 1-w 1 0 1 0 0 1 w w 1 -1+w w 0 1 3 |Aut| = 2^10*3^4 #short vectors: 0 72 13752 761562 &Hlattice (#223 <- a3a1a1a1a1a1a1+) 2 -w 2 -1+w -w 2 0 0 0 2 0 w -1 -w 3 w 0 0 0 1-w 3 1 w -1 0 1 1-w 3 0 0 w w -w 1-w 1-w 3 1 -1+w 0 0 0 1-w 1 1 3 -w 0 0 -1 0 -1 -1 -1+w -w 3 -1 1-w w 0 0 w 0 w -1 1-w 3 w -w 1-w 0 -1 1-w 0 -w 0 -1+w -w 3 -1+w -w 1 -1+w -w 0 -1 1 0 1-w 1-w w 3 0 0 0 -1+w -1-w -w 0 0 0 0 -1 1 1-w 3 0 -1 0 -1+w -1 1-w -1+w w 1 1 0 1-w 1 1 3 |Aut| = 2^12*3^3 #short vectors: 0 72 13752 761562 &Hlattice (#224 <- a3a1a1a1a1a1a1-) 2 0 2 0 0 2 1-w 0 1 2 0 0 0 0 2 1 0 w w -1 3 -1 0 0 -w -w -1+w 3 1 -1 w w 0 1 -1 3 w 0 w -1+w 0 1 0 1 3 0 -1+w -1 -1 0 -1+w 1-w 0 0 3 w w 0 -1+w 0 1 -w 0 1 1-w 3 -1+w 0 1 0 -w 0 1 0 1 0 1 3 -1 0 0 -w 0 -1 w -w w w -1+w w 3 0 -1 0 0 -1+w -w 0 1-w 1-w w -1 -w 1 3 0 1-w w w 0 1-w -1 w 0 -1-w 1-w w -1+w -1+w 3 |Aut| = 2^12*3^3 #short vectors: 0 72 13752 761562 &Hlattice (#225 <- a2a2a2a1a1) 2 0 2 0 0 2 0 0 1-w 2 0 1 0 0 2 0 -1 -w 1-w -w 3 -w 0 1 w 0 -1+w 3 -1+w -1 1-w 0 0 w 1-w 3 1 1 0 0 0 -1 -1+w -1 3 0 -1+w -w 0 -1+w 1 -w 1-w 0 3 0 w 0 1-w 0 1-w -w -1 w 0 3 0 0 -1+w -1 0 -1-w -1+w 0 w -1 -w 3 0 -1 1-w 0 -1 1 -w 1 0 1+w 0 -1 3 1 0 w -1 0 0 -1+w 0 1 0 -w 1-w w 3 -1 -1+w 0 -1+w -1+w -w 1 1 -1 1 -1 0 1-w -w 3 |Aut| = 2^7*3^4 #short vectors: 0 66 13716 761886 &Hlattice (#226 <- a2a2a2a1a1) 2 -1+w 2 0 0 2 0 0 0 2 -1+w w 0 -w 3 -1 w 0 0 0 3 0 0 0 0 -w -1+w 3 1 1-w 0 0 -w -w -1 3 -1 w 1-w 0 1 w 0 -1 3 0 0 0 -w 1-w -1 1+w -w 0 3 1-w 0 0 0 -1 1 -w 1 0 -1 3 -w -1+w 1 0 -1+w 1 1-w -1 w 0 1-w 3 0 -w -1 0 0 -1+w 0 0 -w 0 -1 -1 3 1-w 0 1 0 -w -1+w 1-w 0 w 1-w 0 1 -1+w 3 1 -1 -1+w 0 0 0 -1 0 -1 0 w -1+w 1-2w -1+w 3 |Aut| = 2^7*3^5 #short vectors: 0 66 13716 761886 &Hlattice (#227 <- a2a2a1a1a1a1a1) 2 0 2 -1 0 2 0 0 0 2 0 0 0 0 2 0 -1 0 0 0 2 -1 w 1 w 0 -w 3 0 0 -1 0 w 0 -1 3 0 1-w 0 0 -1+w w -w w 3 -1 1 1-w 0 0 0 1-w 0 1 3 0 0 w 0 0 -1+w 0 -w w -1+w 3 0 0 0 -w -w 0 -1 -1 0 1-w 0 3 0 0 -w 1 0 0 -w w -w 1-w -1 0 3 0 -1+w 0 1-w -w 1-w 0 -1+w -1 -1 -1 1 1-w 3 0 w -w -1+w 1-w -w 1 0 -1 1 -1 0 w 0 3 |Aut| = 2^8*3^3 #short vectors: 0 66 13716 761886 &Hlattice (#228 <- a2a2a1a1a1a1a1+) 2 0 2 0 0 2 0 0 0 2 0 1 0 0 2 w 0 0 1 -w 3 -w w -w 0 0 -1+w 3 0 1 0 0 1-w 1 0 3 0 0 1 -1+w 1 -1+w -1+w w 3 0 1-w 0 -1+w 1-w -1+w 0 1-w 1-w 3 0 0 w 0 0 1-w -1 1-w 1 w 3 -1+w 1-w 0 0 1 -1+w -w 0 1 w 0 3 -1 0 0 0 -1+w -1 1-w -1-w -1+w 0 0 w 3 0 -1 -w -w -1 -w w -w -1 -1 -1 0 w 3 -w 0 1 0 0 -w -1+w 1 1 -1+w 1 -1+w -1+w -1+w 3 |Aut| = 2^9*3^3 #short vectors: 0 66 13716 761886 &Hlattice (#229 <- a2a2a1a1a1a1a1-) 2 1-w 2 0 0 2 0 0 0 2 0 0 0 0 2 0 1 -1 1-w 0 3 1-w 1 1-w 1-w 0 w 3 1 0 0 0 w -w 0 3 1-w 1 -1+w 0 -1 1-w 0 0 3 0 0 1-w -1 w -1 1-w 1 -w 3 0 0 0 -w 0 1-w 1-w -1+w 0 w 3 0 0 w 0 -w 1-w -1+w -1 1 -2+w -1+w 3 0 0 1-w -1+w 0 -1 0 0 0 1 -1 1-w 3 -w 1 0 -w 0 1 2-w -1 1 w 1 0 -1+w 3 0 0 0 w -w -1+w 0 -1+w 0 -w -w 0 1-w -w 3 |Aut| = 2^9*3^3 #short vectors: 0 66 13716 761886 &Hlattice (#230 <- a2a2a1a1a1a1) 2 0 2 0 0 2 0 0 -1 2 w 1-w 0 0 3 w 1 0 0 1 3 0 1 1 -1 w w 3 -w -1 0 0 -1-w -1 -1 3 w 1 0 w 1 1 1-w -1 3 0 0 -1 1-w -w 1 -1 w -w 3 -1+w 1 -1+w 1-w w 1 -1+w -w 0 1-w 3 0 w 0 -1+w 0 1 0 -1 w 0 0 3 1-w w 0 0 -1 0 w 0 0 0 0 1 3 0 -1+w 1 -1 0 -1+w 1 1-w w -1 -1 -1+w 0 3 0 0 -w 0 0 0 -w -1+w -w 1+w -1+w 0 -w -w 3 |Aut| = 2^8*3^3 #short vectors: 0 60 13680 762210 &Hlattice (#231 <- a2a2a1a1a1a1) 2 0 2 0 0 2 1-w 0 0 2 0 0 0 0 3 -1+w 0 -w -1 0 3 1-w w -w 0 -1 0 3 -1 1 0 -w 0 w 1-w 3 -1+w 0 0 0 1 1-w -1 -w 3 -w w 0 0 -1+w 0 1-w w -1+w 3 0 -1+w 0 -1 0 1 w -1+w 0 w 3 0 1 0 0 0 w 1-w 2-w -1+w 1-w -1 3 1-w 0 0 0 -1+w 1-w 1 -1 -1+w w 1 -w 3 1 -1 0 w w -w -1+w -1 0 0 0 -1 0 3 -1 -1+w 0 -w -1 0 1 w 0 w 1 -1+w 1-w -1 3 |Aut| = 2^10*3^3 #short vectors: 0 60 13680 762210 &Hlattice (#232 <- a1a1a1a1a1a1a1a1a1a1) 2 0 2 0 0 2 0 0 1-w 3 1-w -1+w 0 -1 3 0 1 0 1 -w 3 -w -1 1-w 1 1 0 3 w 1-w 0 -w -1 -w -1 3 0 w 1 w -w w 0 0 3 0 0 0 -1+w w -1+w -1+w -w -w 3 -w 0 0 1 -w 0 0 -1 0 -w 3 -1 -1 0 0 0 -1 1-w -1 -1+w 0 1 3 0 w 0 -w 1-w 0 -w w w -1 1-w -w 3 -w 0 -1+w -1+w 1-w w -1+w -1 -1+w 1-w 1 0 0 3 0 1-w 0 -1+w 0 1-w -1+w 0 -w 1 -1+w -1+w -w 1 3 |Aut| = 2^13*3^2*5 #short vectors: 0 60 13680 762210 &Hlattice (#233 <- a2a2a2) 2 -w 2 -w 1 3 1-w w 1+w 3 0 0 1 0 3 1 -1+w w 1 0 3 1-w 0 0 1-w -1+w 0 3 0 0 1 1 0 1-w -1+w 3 1-w w -1+w 0 -1 -w 0 -w 3 1 -1+w 0 w 1-w 1 -1 w -1+w 3 1-w w w 0 w 1-w 0 -1+w 1-w 0 3 -w 1-w 1-w -w -1 -w 0 0 1-w -w 0 3 -w 0 1-w 0 1-2w -1 0 0 0 1-w -w 1 3 1 -1+w 0 w 1-2w 1 -1+w 1 -1+2w 2-w 0 -1+w 1 3 1-w 0 1 0 1-w 0 1 0 0 0 1-w w 1+w 1 3 |Aut| = 2^5*3^8 #short vectors: 0 54 13644 762534 &Hlattice (#234 <- a2a2a1a1a1) 2 0 2 0 0 2 -w 0 0 3 1 1 0 -1+w 3 0 -w 0 -1 0 3 0 1 0 w 1 -w 3 -1+w w 0 -1 w -1 0 3 0 -1+w -w w -1 -w -1+w 0 3 -1 -1+w 0 1-w -2+w -1+w -1 w 1-w 3 0 0 -w w 0 1-w w -1 1 -1 3 0 -1 -w 0 -w 0 -1 0 1+w w 0 3 0 0 w -1 1-w 1-w 0 0 -1+w -1 -1+w 0 3 1-w -1+w 0 w -w -1 -1+w 0 1 w 0 1-w -w 3 1 -w -w w 1-w 1-w 1-w -1-w w -2+w 1 w 0 -1+w 3 |Aut| = 2^7*3^5 #short vectors: 0 54 13644 762534 &Hlattice (#235 <- a2a2a1a1a1+) 2 0 2 0 1 2 -w 0 0 2 w w w -1+w 3 w 0 0 -1 1 3 -w 0 0 1-w -1 -1 3 0 0 1 0 1-w 1 0 3 w 0 0 0 1-w 1 0 1 3 -1+w 0 0 -w w -1+2w 1-2w 0 0 3 -1+w 1 w 0 1 0 -1 0 w 0 3 0 0 1-w 0 -w w 0 1-w 1 0 -w 3 0 -1+w 0 0 0 -1+w 0 0 w 0 0 1+w 3 -w 1 0 1 -w 0 0 0 0 -1+w w 1-w -w 3 0 w 1 0 1-w 1-w 1 2-w 1 -1+w 0 1 1-w w 3 |Aut| = 2^7*3^4 #short vectors: 0 54 13644 762534 &Hlattice (#236 <- a2a2a1a1a1-) 2 0 2 0 1-w 2 0 0 0 2 0 0 0 0 3 0 -1 1-w w 0 3 1-w 0 0 w 1-2w 1 3 w 0 -w 0 1-w 1-w w 3 0 0 1-w -1+w w 1 -1+w w 3 1 -w 1-w 0 w w -1+w 0 1 3 1 1 0 0 1-w -w w 1 1-w 0 3 1-w -w 0 1-w -w 0 1-w -w -1 1-w 1-w 3 0 -w 0 -1 w -1+2w -1+w 0 w 1 -1 0 3 0 0 0 1-w -w 1-w 1-w 0 -1 -1 w 1 -1 3 -1+w -1 1-w 0 -1 1 -w w w w -1 -w 0 -w 3 |Aut| = 2^7*3^4 #short vectors: 0 54 13644 762534 &Hlattice (#237 <- a2a1a1a1a1a1a1) 2 0 2 0 0 2 0 0 0 2 -w -1+w 0 0 3 0 -1+w 0 -1+w 1 3 0 -1 -1 -1+w 1+w 1+w 3 0 0 0 0 -1-w 0 -1 3 0 0 0 -1+w w w 1+w -w 3 0 0 w -1+w -w 0 -w w 0 3 1 0 -1+w 0 0 0 1-w w 0 w 3 0 0 -w 0 w 0 w -1-w 0 -1 -2+w 3 1-w 0 0 0 0 -1 -1 0 -1+w 1 -w 1 3 1-w 0 -1 -1 1 0 1 -1+w 0 -1+2w 1 1-w w 3 w 0 0 0 w 1 1 -1-w 1-w -1+w -1+w 1 -1+w -1+w 3 |Aut| = 2^9*3^2 #short vectors: 0 54 13644 762534 &Hlattice (#238 <- a2a1a1a1a1a1a1+) 2 0 2 0 0 2 0 0 0 2 0 0 0 0 2 0 0 -1 0 0 2 1-w 1-w -1+w 1 0 1-w 3 w 0 -1 -1 0 0 -1+w 3 0 0 -w 0 0 -1+w -1 1 3 -w 0 w -w 0 -w 1-2w 0 0 3 1 0 -w 0 -w 0 -1+w 1 1 0 3 1 1-w 0 0 0 -w 1 1 w w 1 3 1 0 0 1 1-w 0 1 -w 0 -1+w w 0 3 0 -1 0 w -1+w 0 0 -w 0 -1 -w -w -1+w 3 0 1-w -1 0 w 0 1 1-w 1-w 0 -w 1-w w 0 3 |Aut| = 2^9*3^3 #short vectors: 0 54 13644 762534 &Hlattice (#239 <- a2a1a1a1a1a1a1-) 2 0 2 w -1+w 3 0 0 1 3 0 0 -1+w -1+w 3 w 0 1 0 1 3 1 w 1-w 0 -1+w 0 3 0 0 1-w -1 0 0 -w 3 -1 -w -1+w 0 -1 0 -1+w -1 3 0 0 0 -1+w 1-w 1-2w -1 1-w 0 3 -w 0 -2+w -1+w 1 0 -w -w w w 3 0 0 -1+w w w -1+w w -1-w 0 -w 0 3 0 -w -1+w 0 0 0 0 -1 1 0 0 1-w 3 0 -1+w 0 -w -1+w 0 w -1 1-w 0 1 0 -w 3 1-w 0 1-w 0 0 0 1-2w 1+w -1 -1+w -1+w -1 -w -1 3 |Aut| = 2^9*3^3 #short vectors: 0 54 13644 762534 &Hlattice (#240 <- a2a1a1a1a1a1) 2 0 2 0 0 2 0 0 0 2 -1 -1 0 1-w 3 0 0 -w 0 1 3 -1+w 0 1 -w 1-w -1+w 3 w -1+w 0 w -w 0 -w 3 w 0 0 0 -w -1 1-w w 3 0 -w 0 -1+w -1+w 0 1-w w 0 3 0 1 1 0 0 0 1 -w -1+w 0 3 0 0 1-w 0 0 w 1-w 0 -1 0 1-w 3 -w 1 0 0 -1+w -1 -1+w -1-w -1 -1 1 w 3 -w 0 0 -w 1 w 1 -1+w 0 w 0 0 -w 3 0 1-w 1-w 0 -1+w -1+w 0 -w -w 0 1-w w 1 -1 3 |Aut| = 2^8*3^3 #short vectors: 0 48 13608 762858 &Hlattice (#241 <- a1a1a1a1a1a1a1a1) 2 0 2 0 -w 3 1 1 -1+w 3 -w -1+w -w -1+w 3 1 1-w -1+w 2-w -1 3 0 0 1-w 0 0 -1 3 -w w -1 1 2-w 0 -1 3 1 1 -1+w 1 0 w 0 0 3 0 1-w 1+w 0 -1 0 0 -1 -w 3 1-w 0 1-w 1-w w 1-w 1 w 0 -w 3 1-w w -1 1 1 0 -w 1+w w -1 1-w 3 1-w 1-w -1+w 1-w -1+w 1 -1 0 1 0 0 1-w 3 0 0 2-w 0 w -1 w 0 -1+w 1-w w 0 0 3 1 1-w w 1 -1+w 1 -1+w 0 1-w 1 -1+w 0 1 w 3 |Aut| = 2^14*3 #short vectors: 0 48 13608 762858 &Hlattice (#242 <- a1a1a1a1a1a1a1a1+) 2 0 2 0 0 2 1-w 0 0 3 1 0 0 -1+2w 3 1-w 1 0 w 1 3 1-w 0 1-w 1 1-w 1 3 0 1-w 1-w 1-w 0 -w 1 3 1-w 0 0 1-w -w 1 1-w 0 3 1 0 1 1 0 w 1+w 1 w 3 w -1+w -1 -1+w w -1+w -1+w -1 -1 -1+w 3 -w 0 0 -1 0 0 0 0 1-w -1 0 3 0 w 0 1-w -1 -1+w w w 0 w 1-w 0 3 0 0 1 0 w -w -1+w w -1-w 0 0 0 0 3 0 0 -1+w w 1 1-w 0 -1+w 0 -1+w 1-w 1-w 0 w 3 |Aut| = 2^10*3^2*7 #short vectors: 0 48 13608 762858 &Hlattice (#243 <- a1a1a1a1a1a1a1a1-) 2 0 2 0 0 2 0 -w -1+w 3 -1+w -1 0 0 3 0 1 -1 -1+w -w 3 -w 0 0 1-w 0 -1+w 3 -1 -1 0 0 1 0 0 3 0 -1+w 0 1-w 0 -1+w 0 -w 3 1-w 1 0 0 -2+w 0 w -1 1-w 3 w 1 0 -1 -1 1 -1-w -1 1-w w 3 -1 w 0 0 0 w 0 0 1-w 0 w 3 0 0 0 1-w 0 -1+w 1-w -1+w 1 w w 0 3 -1+w 0 1-w -1 1 -1+w 0 1 -1 -1 0 1-w 0 3 -1+w 0 0 w 1-w -w 0 1-w -1+w -2+w -1+w 0 -1+2w 1 3 |Aut| = 2^10*3^2*7 #short vectors: 0 48 13608 762858 &Hlattice (#244 <- a2a1a1a1a1) 2 0 2 0 0 2 0 0 -w 2 0 0 -1+w 1-w 3 1-w -1 0 0 -1+w 3 -1+w 0 w -1 -w -1 3 1 w 0 0 0 0 0 3 0 1-w 1 0 0 0 1-w -w 3 1-w -w 0 0 0 w -w 1-w 1-w 3 0 0 1-w -1+w -1-w -1+w -w 0 -w 1-w 3 0 -1+w -1 0 -1+2w 1-w 0 0 -1 -w -w 3 w 0 0 0 1 -1 -w w 1-w w w -w 3 1 1-w -w 0 -1 -1+2w -w 1-w 1-w 1+w 1 -1+w 1-w 3 -1+w -1+w w -1 0 0 1 w -1 -w 0 1 0 -1 3 |Aut| = 2^8*3^2 #short vectors: 0 42 13572 763182 &Hlattice (#245 <- a1a1a1a1a1a1a1) 2 0 2 0 0 2 0 1 0 3 -1+w -1 0 -1 3 0 0 0 -1 0 3 0 1-w 0 0 -1+2w 1 3 -1 0 1 -w w 1 0 3 1 0 1 0 -1 -1+w w -1+w 3 1-w -w 0 -1 0 -w -w 0 0 3 -w 1 1-w 1-w -1 w -1+w 1 -w 0 3 0 0 -w 0 w 1-w 2-w -w -w -1+w -w 3 0 0 0 w -w 0 0 -1 w 1-w 0 0 3 0 1-w -1+w 0 -1 -w 0 -1 -1+2w 1 -w -w 1 3 1-w 0 0 1 -w 0 -w -1+w 0 1 w -w 1 w 3 |Aut| = 2^9*3^2 #short vectors: 0 42 13572 763182 &Hlattice (#246 <- a1a1a1a1a1a1a1+) 2 0 2 0 0 2 0 -1+w -w 3 -1+w 0 0 1+w 3 0 -1 0 0 -w 3 -1 0 -1+w 1-w 1 -1+w 3 0 1 w -1-w -1 0 -w 3 -1+w -1 0 0 0 1-w 1-w -1 3 0 1-w 1 -1+w 1 -1+2w 1-w 1-w -1+w 3 0 0 0 1 1-w -w 0 -1 1 -w 3 w 0 0 1-w 1-2w 1-w -w -1+w 1 -w 1 3 -1 0 -w 1-w 0 -1+w 1 -1+w 0 0 -w 0 3 0 -w 0 w 1 -1+w 1 -1 w 1 w 0 0 3 0 -1 0 w 1 1+w -w 0 0 1-w -1+w -1+w -w 1-w 3 |Aut| = 2^9*3*7 #short vectors: 0 42 13572 763182 &Hlattice (#247 <- a1a1a1a1a1a1a1-) 2 0 2 0 0 2 0 0 0 2 0 0 1-w 1-w 3 -w 0 0 0 -1 3 -w 1 0 0 -1 1 3 1 0 0 0 -w -1+2w w 3 -1 0 -w 0 1-w 0 -w -1+w 3 0 0 0 0 1-w -1 -1+w -1+2w 1-w 3 1 0 1-w -w 1-w -1+w w 1 -1+w 0 3 -1+w 0 0 -1 -w -w -1 -1+w 1-w 1 0 3 0 1-w 0 0 0 -w -w -1+w 1 1 -1 1 3 0 1 -1+w 0 -w 0 w 0 -w 0 -1+w 0 0 3 0 1-w w 0 -2+w 1 1-w 1-w -w -w -1 0 1 1-w 3 |Aut| = 2^9*3*7 #short vectors: 0 42 13572 763182 &Hlattice (#248 <- a2a1a1a1) 2 1-w 2 0 0 2 0 -1+w w 3 0 0 -1+w 0 3 1 w 0 1 w 3 1-w 0 0 w -1+w 0 3 0 0 0 0 1-2w -w -1+w 3 0 w w 2-w 0 1 1-w -w 3 -w 0 0 1 1 1-w 1-2w w 0 3 0 -1 0 w -w -1 0 1 -1+w 0 3 1 0 w 1 0 0 0 0 0 0 1 3 1-w 1 w 1-w -w 0 0 1-w 1 0 -w 1-w 3 1-w 1 w 1-w 1-w 1-2w 0 0 1-w 1-w -1+w 1 1 3 0 w 1 2-w -w 1 -w 0 2-w 1 -w 0 1 w 3 |Aut| = 2^6*3^5 #short vectors: 0 36 13536 763506 &Hlattice (#249 <- a1a1a1a1a1a1) 2 0 2 0 0 2 -1+w 0 1 3 -w -1+w -1+w -1+w 3 0 0 1 1 0 3 0 0 1 0 0 1 3 1 1 0 -w -1 -1 0 3 w 1 -w -w -1 0 1-w 1 3 0 0 -w -1-w -1 -1 -w 1 1 3 0 1 0 0 1-w 1 0 0 1 0 3 0 -1+w w w 1-w w w -1 -1 -1 0 3 0 w 0 1-w 1 1 1 w w -1+w w -w 3 -w -1 0 w w 0 -1 -w -1-w -w -1 w -1+w 3 -1+w -1+w 1-w 2-w 0 1 1 -1+w -1+2w -1+w -1+w 1-w 1+w 1-2w 3 |Aut| = 2^9*3^2 #short vectors: 0 36 13536 763506 &Hlattice (#250 <- a2a2) 2 1 2 1 1-w 3 0 0 0 3 -w -w -w -1 3 -w 0 0 -w 0 3 0 0 1 -1 0 1-w 3 -w 0 -w w 0 0 -w 3 -w 0 -1 -w 1-w 1 0 w 3 1 0 0 -1 0 0 1 -1+w 0 3 1-w 0 1-2w 1-w -1+w w -w 0 w 0 3 0 0 1 2-w -1+w -1+w 0 0 -1+w -1 w 3 0 0 -w 1-2w w 1 0 0 w w 1-w 1-2w 3 0 0 -1 2-w -1+w -1+w -2+w 1-w 0 -1+w 1-w 1 w 3 1-w 1-w 2-w 0 w 0 0 1 0 0 w 1-w 0 0 3 |Aut| = 2^6*3^7 #short vectors: 0 36 13536 763506 &Hlattice (#251 <- a3) 2 1 2 1 0 2 -w -w 0 3 1-w 1-w 0 1+w 3 -w 0 -w w w 3 0 0 0 -1+w -1+w 1 3 1-w 1-w 0 1+w 1 1-w -w 3 1-w 0 1-w 1 1-w w -1+w 0 3 -w 0 -w -w -w 0 -1+w -w 1-w 3 0 0 0 1-w -w -w 1-w 1 -w -1+w 3 -w 0 -w w 1 1-w -w 1 0 0 0 3 1-w 1-w 0 1+w 1 0 -1 2-w w -1+w 0 1-w 3 1 0 1 0 0 0 w 0 1 0 -1+w -1+w 0 3 1-w 1-w 1-w w 1 1 1-w w 1 w 0 w 0 0 3 |Aut| = 2^13*3^6 #short vectors: 0 36 13536 763506 &Hlattice (#252 <- a1a1a1a1a1) 2 0 2 0 0 2 0 0 0 2 0 -1 0 -w 3 1 -w 0 -w 1 3 -1 0 w 0 -w -w 3 w -1+w 0 0 1-w 0 1-w 3 -w -1 0 0 1 1-w -1+w -1+w 3 0 0 0 0 1 0 0 w 0 3 -1 0 0 0 -1+w 0 1 -1+w 0 -1+w 3 -1 0 0 -1 1-w 1-w w -1+w 1-w 0 1 3 0 w 0 0 1-w 0 -1+w 1-w 1-w -w 0 1 3 0 0 1 0 0 -1+w -w -w 0 -1 -1+w -1+w 0 3 0 1-w w 0 0 1 1 0 w 1-w 1-w 0 0 -1+w 3 |Aut| = 2^7*3*5 #short vectors: 0 30 13500 763830 &Hlattice (#253 <- a1a1a1a1a1+) 2 0 2 0 0 3 0 1 -1+w 3 -1+w 0 0 1-2w 3 -1 -1+w 0 -1+w 0 3 0 0 w -1 1-2w 0 3 w 0 -w -1+2w -1 -w -w 3 1-w 0 1-w w -2+w -1+w -w 1-w 3 0 1 -1+w 1 0 -w 0 0 0 3 0 -1 -w -1+w 0 w 0 0 0 -2+w 3 -1 0 0 1-w w w -1 -1 1-w 0 -w 3 0 -1+w -w -1+w 0 1 -w 0 -w -1+w 1 0 3 0 0 -1-w -1+w 0 0 -1+w 1 1-w w 0 -w 0 3 1-w 0 0 0 -1 0 1-w -1 0 -1+w 1 -1+w 1 -1 3 |Aut| = 2^8*3^2*5 #short vectors: 0 30 13500 763830 &Hlattice (#254 <- a1a1a1a1a1-) 2 0 2 0 0 2 w -w 0 3 -1+w 0 -1+w w 3 0 0 0 1-w -1+w 3 -1 0 w -1+w 1 -1 3 0 0 w -1+w 2-w -1-w 1 3 1 0 w 1-w 1-w 0 0 1 3 -1 -1+w 0 0 1 -w w 1 0 3 1-w 0 1 -w -1 1 -1 0 1-w -1+w 3 1 0 1 0 1-w -w 0 1 1-w 0 1 3 0 0 -1 0 -1+w 0 -1+w -1 0 0 -1 -1+w 3 0 -1+w 0 0 0 -1 0 1-w w 1 -1 -1 w 3 0 -1+w 0 1-w -1+w 1 -1+w -1 w 1 0 -1+w 1 2-w 3 |Aut| = 2^8*3^2*5 #short vectors: 0 30 13500 763830 &Hlattice (#255 <- a1a1a1a1) 2 0 2 -1+w 0 3 -1 1 1 3 0 0 -1 -1+w 3 1 -w 0 0 1-w 3 0 -1+w -1+w -1+w 1-w 0 3 w 0 1 0 -w 1 -w 3 -1 0 -1+2w 0 0 -1+w 1-w -1+2w 3 1 0 0 0 -w 1 1-w w 0 3 -1 1 -1+w 1 0 -1+w -w w 1 -w 3 0 0 -w 0 1-w 0 0 1 0 0 0 3 1-w 0 -2+w -1+w 0 1 1 0 w 1-w w -w 3 0 -w 0 1-2w -w 1-w -1+w 0 0 0 -w 0 -1 3 -1+w 0 1 1-w -2+w -1 -1 1-w 1-w -1 1-w -w -w 0 3 |Aut| = 2^9*3^2 #short vectors: 0 24 13464 764154 &Hlattice (#256 <- a1a1a1) 2 0 3 w 0 3 -1+w w 0 3 0 1 1 1-w 3 w 0 1-w 1 0 3 1 -w 1-w -w 2-w 1-w 3 1-w 1-w 1-w -1 w 0 w 3 0 1 1-w 1 1 1 w 1-w 3 -1+w -1+w 0 1+w -1 1+w -1 -1 w 3 0 0 1 0 1+w 0 w 1-w 1 -1 3 0 1-w 1-w 0 1 w w 1 0 -1+w 1-w 3 0 -1 1 w 1 w 1 -w 0 w 1-w 1 3 0 -1+w 1-w -1+w -w w -w -1 0 w 1-w 0 1-w 3 0 -1 1-w -1+w -w 1-w 1-w -w 1-w 0 1-w -1 0 1 3 |Aut| = 2^5*3^4 #short vectors: 0 18 13428 764478 &Hlattice (#257 <- a2) 2 1 2 0 0 3 0 0 -1 3 -w -w 0 0 3 -w -w 2-w -1+w 1 3 0 0 1-2w 1 0 1-w 3 1 1 w -1+w -1+w -1+2w -1+w 3 1-w 0 w 1 w w w 1-w 3 0 0 2-w -1 1-w 1 w 0 -w 3 1-w 1-w -1+w 0 w -1+w -w 0 1 -1 3 -w -w 1-w -w 1 1 0 -1 -w 1 -w 3 -w 0 0 w 0 0 -1+w 0 1 -1 1-w 0 3 -w 0 0 0 1-w 1-w -w -w -w 0 0 0 w 3 -w 1-w -1+w -1 -1+w w -w 1 0 -w 1 0 0 0 4 |Aut| = 2^4*3^6*7*13 #short vectors: 0 18 13428 764478 &Hlattice (#258 <- a1a1) 2 -1+w 3 0 0 3 -1 w -1 3 1 -1-w -w 0 3 1 0 1-w -1+w 1 3 0 1-w -1 -1+w -1+w 0 3 0 -1+w -1+w 0 -w 0 0 3 0 w -w 0 -w 1 -1+w w 3 -1 1+w 0 1 -1 0 0 -w w 3 1-w -1+w 0 -1+w -w 1 w w 1 -1+w 3 0 1-2w -1 0 w -w 2-w -1+w -w -w -w 3 1 0 -1 0 1-w 1 0 w 1 0 w 0 3 0 1 1-w -w 0 0 -1+2w -1 0 0 0 -1+w -1+w 3 1-w -1 0 -1+w 1-w 1 1-w -1 w 0 w 0 1 -w 3 |Aut| = 2^10*3^3 #short vectors: 0 12 13392 764802 &Hlattice (#259 <- a1) 3 1 3 0 -w 3 w 0 -1 3 -1+w -1 1-w w 3 0 0 2-w -1+w 0 3 1-w 0 w 1-2w -1 -1+w 3 1-w -w -1 -w -1 -w 0 3 0 w 1-w -1 0 1 1-2w -1+w 3 -w 1-w w -w -1 -1+w 1 0 0 3 -w 1-w -1 0 0 0 -w w 1-w 0 3 0 0 w 0 0 -1+w w -w -1 1 -1-w 3 0 0 -w -1+w w -w -1 1-w -w -w -1 1 3 -1+w -w 1 0 1 w -w -1+w 0 1-w 1-w 0 -1+w 3 -1 -1 -w 1 1 -w 0 0 -1+w -1 0 -w 1-w 0 3 |Aut| = 2^4*3^2*7*13 #short vectors: 0 6 13356 765126