NiceGeneratorsSn: Improve documentation, rename variables, restructure code, add tests
#369
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mp(moved points) from the input of the function because they can be recovered asMovedPoints(grp). Changes all function calls accordingly.PseudoRandom(grp).ForAll([1..QuoInt(n,2)-1],i->not IsBound(cyclen[2*i+1]))in the original version difficult to parse.)I was unsure what the function should actually do in the cases
n=1andn=2. I decided that it returnsfail, but it might also make sense to return an empty list forn=1and the list containing the unique non-trivial element ofgrpifn=2. The version before the PR throws an error forSymmetricGroup(1)and returns[ (1,2), (1,2) ]forSymmetricGroup(2).