Mathematica inputs accompanying the paper "The M-triangle of generalised non-crossing partitions for the types E7 and E8" by Christian Krattenthaler

The following files contain the systems of equations described in Section 4 of the paper for the root systems A3, A4, A5, A6, A7, D4, D5, D6, D7, E6, E7, E8. The files are documented with references to the paper. To run a file, you have to load it into your Mathematica session by

In[1]:= << file

Here they are:

a3
a4
a5
a6
a7
d4
d5
d6
d7
e6
e7
e8