Magma V2.27-4     Fri Oct 20 2023 23:23:47 on socrates [Seed = 3264531041]

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Loading file "compute-mathieu-invariants.mag"
Loading "../find-invariants.mag"

Working with group M11
Computing a lower bound on the invariant degrees using a Molien series.
....Done.
....Maximum degree is 8
Trying to find independent invariants with degree bounded by 8
....Done.
....Degrees match.
[ 1, 2, 3, 4, 5, 5, 6, 6, 7, 7, 8 ]
true
Time: 0.170

Working with group M12
Computing a lower bound on the invariant degrees using a Molien series.
....Done.
....Maximum degree is 9
Trying to find independent invariants with degree bounded by 9
....Done.
....Degrees match.
[ 1, 2, 3, 4, 5, 6, 6, 7, 8, 8, 9, 9 ]
true
Time: 0.770

Working with group M22
Computing a lower bound on the invariant degrees using a Molien series.
....Done.
....Maximum degree is 7
Trying to find independent invariants with degree bounded by 7
....Done.
....Degrees match.
[ 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7 ]
true
Time: 5.280

Working with group M22d2
Computing a lower bound on the invariant degrees using a Molien series.
....Done.
....Maximum degree is 7
Trying to find independent invariants with degree bounded by 7
....Done.
....Degrees match.
[ 1, 2, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7 ]
true
Time: 5.230

Working with group M23
Computing a lower bound on the invariant degrees using a Molien series.
....Done.
....Maximum degree is 9
Trying to find independent invariants with degree bounded by 9
....Done.
....Degrees match.
[ 1, 2, 3, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9 ]
true
Time: 132.970

Working with group M24
Computing a lower bound on the invariant degrees using a Molien series.
....Done.
....Maximum degree is 10
Trying to find independent invariants with degree bounded by 10
....Done.
....Degrees match.
[ 1, 2, 3, 4, 5, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10 ]
true
Time: 806.780

Total time: 951.490 seconds, Total memory usage: 23481.22MB