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Aug 15, 2013 at 10:30 comment added Dan Petersen @emiliocba I don't think its just an issue of a better algorithm. For an element which is not regular WCF gives the expression $\frac 0 0$ which needs to somehow be interpreted correctly.
Aug 15, 2013 at 10:10 comment added emiliocba Excelent reference! I think that they applied the "degenerate" Weyl character formula to give a better computer algorithm.
Aug 14, 2013 at 22:14 comment added Jim Humphreys It's a long paper but might contribute to the solution of the problem here. A preprint version is at front.math.ucdavis.edu/1207.0724
Aug 14, 2013 at 19:27 history answered Dan Petersen CC BY-SA 3.0