I know about the computation of Kazhdan-Lusztig basis and change between "T" and "C"-basis using GAP3. But how can I compute the $h$-polynomials as defined in $$c_xc_y = \sum_{z \in W}h_{x,y,z}c_z,$$ for any $x,y,z$ in a Coxeter group $W$, using GAP3? Or, how can I compute the $f$-polynomials as defined in $$T_xT_y = \sum_{z \in W}f_{x,y,z}T_z.$$ using GAP3?
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