Below is the output of the test file tst/batch.g. The file runs through all groups of size n, which is initially set to 16, and runs ProjectiveResolution, CohomologyGenerators and CohomologyRelators for each group, and prints the results as well as the timings for each operation to a file. The output below was computed on a 3.06 GHz Intel processor with 3.71 GB of RAM. The projective resolutions are calculated initially to degree 10 and the generators and relators to degree 6, due to the fact that I already knew all the generators and relators to be of degree less than 6, see http://www.math.uga.edu/~lvalero/cohointro.html. See also the file tst/README for suggestions on dealing with other users when running long-running batch processes.
SmallGroup(16,1) Betti Numbers: [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] Time: 0:00:05.864 Generators in degrees: [ 1, 2 ] Time: 0:00:00.086 Relators: [ [ z, y ], [ z^2 ] ] Time: 0:00:00.245 SmallGroup(16,2) Betti Numbers: [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 ] Time: 0:00:00.931 Generators in degrees: [ 1, 1, 2, 2 ] Time: 0:00:02.874 Relators: [ [ z, y, x, w ], [ z^2, y^2 ] ] Time: 0:00:12.227 SmallGroup(16,3) Betti Numbers: [ 1, 2, 4, 6, 9, 12, 16, 20, 25, 30, 36 ] Time: 0:00:05.292 Generators in degrees: [ 1, 1, 2, 2, 2 ] Time: 0:00:21.770 Relators: [ [ z, y, x, w, v ], [ z^2, z*y, z*x, y^2*v+x^2 ] ] Time: 0:01:26.166 SmallGroup(16,4) Betti Numbers: [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 ] Time: 0:00:01.047 Generators in degrees: [ 1, 1, 2, 2 ] Time: 0:00:03.253 Relators: [ [ z, y, x, w ], [ z^2, z*y+y^2, y^3 ] ] Time: 0:00:14.294 SmallGroup(16,5) Betti Numbers: [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 ] Time: 0:00:01.065 Generators in degrees: [ 1, 1, 2 ] Time: 0:00:02.493 Relators: [ [ z, y, x ], [ z^2 ] ] Time: 0:00:13.573 SmallGroup(16,6) Betti Numbers: [ 1, 2, 2, 2, 3, 4, 4, 4, 5, 6, 6 ] Time: 0:00:00.446 Generators in degrees: [ 1, 1, 3, 4 ] Time: 0:00:01.566 Relators: [ [ z, y, x, w ], [ z^2, z*y^2, z*x, x^2 ] ] Time: 0:00:04.132 SmallGroup(16,7) Betti Numbers: [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 ] Time: 0:00:01.076 Generators in degrees: [ 1, 1, 2 ] Time: 0:00:02.495 Relators: [ [ z, y, x ], [ z*y ] ] Time: 0:00:13.862 SmallGroup(16,8) Betti Numbers: [ 1, 2, 2, 2, 3, 4, 4, 4, 5, 6, 6 ] Time: 0:00:00.465 Generators in degrees: [ 1, 1, 3, 4 ] Time: 0:00:01.570 Relators: [ [ z, y, x, w ], [ z*y, z^3, z*x, y^2*w+x^2 ] ] Time: 0:00:04.350 SmallGroup(16,9) Betti Numbers: [ 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2 ] Time: 0:00:00.140 Generators in degrees: [ 1, 1, 4 ] Time: 0:00:00.255 Relators: [ [ z, y, x ], [ z*y, z^3+y^3, y^4 ] ] Time: 0:00:00.718 SmallGroup(16,10) Betti Numbers: [ 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66 ] Time: 0:00:20.139 Generators in degrees: [ 1, 1, 1, 2 ] Time: 0:01:04.158 Relators: [ [ z, y, x, w ], [ z^2 ] ] Time: 0:06:27.688 SmallGroup(16,11) Betti Numbers: [ 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66 ] Time: 0:00:20.428 Generators in degrees: [ 1, 1, 1, 2 ] Time: 0:01:04.678 Relators: [ [ z, y, x, w ], [ z*y ] ] Time: 0:06:33.808 SmallGroup(16,12) Betti Numbers: [ 1, 3, 5, 6, 7, 9, 11, 12, 13, 15, 17 ] Time: 0:00:02.438 Generators in degrees: [ 1, 1, 1, 4 ] Time: 0:00:08.927 Relators: [ [ z, y, x, w ], [ z^2+z*y+y^2, y^3 ] ] Time: 0:00:44.464 SmallGroup(16,13) Betti Numbers: [ 1, 3, 5, 6, 7, 9, 11, 12, 13, 15, 17 ] Time: 0:00:02.389 Generators in degrees: [ 1, 1, 1, 4 ] Time: 0:00:09.247 Relators: [ [ z, y, x, w ], [ z*y+x^2, z*x^2+y*x^2, y^2*x^2+x^4 ] ] Time: 0:00:44.323 SmallGroup(16,14) Betti Numbers: [ 1, 4, 10, 20, 35, 56, 84, 120, 165, 220, 286 ] Time: 0:07:00.973 Generators in degrees: [ 1, 1, 1, 1 ] Time: 0:15:40.874 Relators: [ [ z, y, x, w ], [ ] ] Time: 1:54:28.052 Total time: 2:38:14.841 |
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