Implementation of the class ClusterSeed

[stumpc5]

This class implements cluster seeds for skew-symmetrizable matrices.

The patch contains multiple examples.

sage: S = ClusterSeed(['A',3]); S
A seed for a cluster algebra of rank 3 of type ['A', 3]

[gmoose05]

• trac_13369-cluster_seed-cs-NEW.patch is an exact copy of trac_13369-cluster_seed-cs.patch, except in quiver.py where the change to lines 97-100 now apply to lines 201-204 instead. (Also one typo fixed.)

This was done because trac_13369-cluster_seed-cs.patch no longer applies after recent changes to 10538, although it really was only this four line conflict.

• More substantially, trac_13369-cluster-seed-gm.patch fixes compatibility issues with recent changes to 10538 and 10527. One can now apply all patches in 10527 in order, then all patches in 10538 in order, then the *two patches*

trac_13369-cluster_seed-cs-NEW.patch followed by trac_13369-cluster_seed-gm.patch,

and then the rebuilt sage passes all doc tests and appears to work correctly.

• A more substantial review will be forthcoming.

[stumpc5]

Replying to gmoose05:

I just renamed and uploaded the two relevant patches without any changes.

[gmoose05]

Also, despite the patchbot's inability to apply the patches, it works fine with 5.3.rc1 on my machine (with the 10527 and 10538 patches applied first).

[stumpc5]

Both patches rebased according to the new lazy import. No other changes.

[stumpc5]

Hi,

I updated my first patch (and uploaded Gregg's patch without changes). This resulted in some missing doctests which I then added in yet another patch. We also had some old things in the ClusterVariable class which I removed. If we need that back later, we can do it in another ticket...

Cheers, Christian