HOW TO USE THE DATA BELOW
The file eutax8.gp is in PARI-GP format, and is to be down-loaded
in a directory in which one can open PARI-GP.
For each of the four series of 8-dimensional, perfect lattices,
we give four gp-vectors, denoted by
lh_e, lh_s, lh_w, and lh_ges for the Laihem lattices,
and there are similar vectors bari_*, nap_*, and batu_*.
WARNING. To use the 16 vectors described below, one should have first
down-loaded the files listed in 2. and 3., below.
* lh_e[i] contains the indices such that lh(i) is eutactic,
* lh_s[i] contains the indices such that lh(i) is semi-eutactic,
non-eutactic,
* lh_w[i] contains the indices such that lh(i) is weakly-eutactic,
non-semi-eutactic.
* lh_ges[i] is equal to 2, 1, or 0 according to whether
lh(i) is eutactic, semi-eutactic but not eutactic,
or weakly-eutactic but not semi-eutactic.
The meaning of the vectors bari_*, nap_*, and batu_* is similar.