The record about each cyclic STS(57)
starts with "d" and the number which we assigned to this design, then
"a" is followed by the order of its full automorphism group, and the
next number "g" is the number of generators that are given. In the
second line are the base blocks of the cyclic design, where the first point is
not given, because it is always 0, for instance, 19 38 stands instead of 0 19
38. The next g lines present the generators of the automorphism group on the
points, and the next g lines are the corresponding automorphisms of the blocks.
Because there are 2353310 cyclic STS(57)s we split
them by 300000 in 8 files which follow:
The
point-cyclic resolutions of cyclically resolvable STS(57)
are written in the corresponding files. Each resolution starts with
"d" and the number of the underlying cyclic STS(57),
then "R" is followed by the number of the resolution, "A"
by the order of its full automorphism group. The number
in the second line is the number of parallel class orbits under the cyclic
automorphism group of order 57 and a base class of each of them is given in one
of the following lines, where each line begins with the class length and is
followed by the numbers of the blocks of the base class.
There are 63
cyclically resolvable STS(57) which are 5-sparse. Each
one is followed by its resolutions.