// This file contains two 248x248 matrices a,b over GF(3) that comprise a generating set for a Sylow 41-subgroup, labelled S, of E_8(3). This is elementary abelian order 41^2. a := Matrix(GF(3),248,248,[ 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 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2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1 ]); b := Matrix(GF(3),248,248,[ 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 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2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 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2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2 ]); Q := GL(248,3); S := sub<Q|a,b>; //Sylow 41-subgroup of E_8(3)