Hardcoding stuff for complex reflection groups

[stumpc5]

We pull many things from Chevie that are hard-coded. We should rather hardcode those ourselves, plus other stuff that is either hard to compute, or easy to hard-code.

We currently think of hard-coding:

• degrees/codegrees

• fake degree polynomials

• fundamental invariants

• roots, coroots, fundamental weights

• representatives of conjugacy classes

• field of definition

• cartan matrix

• tba

CC: @tscrim @fchapoton @sagetrac-jmichel

Component: combinatorics

Keywords: complex reflection groups, days93.51

Issue created by migration from https://trac.sagemath.org/ticket/20401

[stumpc5]

comment:1

At Days93.51, we have been porting all hard-coded data files from chevie to python (untested and probably containing tons of errors still), these can be found at

https://github.com/jmichel7/gap3-jm/tree/master/sage/cheviedata

and will be updated when we find issues.

[stumpc5]

Changed keywords from complex reflection groups to complex reflection groups, days93.51