Cyclically Resolvable STS(57)

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:

gend_57_3_1_b0_e3.rar

gend_57_3_1_b3_e6.rar

gend_57_3_1_b6_e9.rar

gend_57_3_1_b9_e12.rar

gend_57_3_1_b12_e15.rar

gend_57_3_1_b15_e18.rar

gend_57_3_1_b18_e21.rar

gend_57_3_1_b21_e23.rar

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.

res57a57_0_3.rar

res57a57_3_6.rar

res57a57_6_9.rar

res57a57_9_12.rar

res57a57_12_15.rar

res57a57_15_18.rar

res57a57_18_21.rar

res57a57_21_23.rar

There are 63 cyclically resolvable STS(57) which are 5-sparse. Each one is followed by its resolutions.

5-sparse_KTS(57).rar