KTS(45) with automorphisms of order 15

The resolutions of cyclic STS(45)s invariant under the subgroup of order 15 of the cyclic automorphism group of order 45 are written in 17 files. This is because they have in total 32 966 147 resolutions. Each cyclic STS(45)s has between 87 and 23737 such resolutions.

The record about each cyclic STS(45) starts with "d" and the number which we assigned to this design, then "R" is followed by the consecutive number of its resolution, next after “A” the order of its full automorphism group is given, "cyc" is followed by 1 if the resolution is point-cyclic and by 0 otherwise. Only 2128 point-cyclic KTS(45) have full automorphism group of order 45. All the remaining resolutions are with full automorphism group of order 15.

In the second line, the number of parallel class orbits under the subgroup of order 15 of the cyclic automorphism group of order 45 for this resolution is given. A base class of each of them is given in one of the following lines, where the lines begin with the class length followed by the numbers of the blocks of the base class.

res45a15_1.zip

res45a15_2.zip

res45a15_3.zip

res45a15_4.zip

res45a15_5.zip

res45a15_6.zip

res45a15_7.zip

res45a15_8.zip

res45a15_9.zip

res45a15_10.zip

res45a15_11.zip

res45a15_12.zip

res45a15_13.zip

res45a15_14.zip

res45a15_15.zip

res45a15_16.zip

res45a15_17.zip