For several multiloop Feynman integral systems, the monodromy group has a basis where its generators are matrices over Z[z,1/z] with z = exp(iπd), obtained by a numerical recognition method.
Tkachov, A theorem on analytical calculability of 4-loop renormalization group functions, Physics Letters B 100 (1981) 65
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Monodromy of multiloop integrals in $d$ dimensions
For several multiloop Feynman integral systems, the monodromy group has a basis where its generators are matrices over Z[z,1/z] with z = exp(iπd), obtained by a numerical recognition method.