/* www-ATLAS of Group Representations. J3:2 represented as 214 x 214 matrices over GF(19). */ F:=GF(19); x:=CambridgeMatrix(3,F,214,\[ 0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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3,9,2,2,5,2,18,18,7,16,2,9,18,8,9,5,6,12,0,0,1,16,14,7,0,15,1,5,6,18,17,13,11,8,5,4,11,0,1,17,12,15,10,9,2,6,2,11,4,3,4,14,5,18,2,15,1,6,13,1,6,11,5,15,11,6,10,3,2,1,9,16,8,8,6,18,10,11,6,10,14,0,6,11,2,12,10,11,4,2,0,3,9,2,18,6,2,6,7,8,13,9,15,3,4,17,11,12,15,18,9,16,1,18,16,3,9,5,18,1,12,3,5,5,11,1,7,1,5,13,9,3,18,5,13,12,13,0,8,13,16,10,16,17,2,7,0,5,3,3,1,7,0,10,11,16,6,5,15,3,1,14,10,2,9,11,4,2,7,16,10,18,14,6,11,0,11,1,4,10,14,4,13,3,15,12,10,15,10,1,1,13,12,16,4,12,8,11,6,4,4,5,6,14,2,17,4,14,7,1,2,11,15,17, 0,2,11,9,9,3,5,2,14,18,16,11,0,13,9,14,17,6,0,11,0,1,14,6,9,16,3,10,17,4,13,12,4,17,10,7,11,16,3,18,6,10,0,10,10,17,6,11,15,12,18,5,12,12,5,10,14,8,6,7,6,11,0,16,6,0,16,11,12,4,1,7,12,1,3,17,17,14,13,15,7,7,3,16,6,5,3,12,10,3,4,14,9,7,15,2,17,17,9,5,14,16,10,13,7,1,3,6,18,14,5,8,16,4,7,0,17,18,13,14,12,0,0,0,14,9,14,12,0,2,17,0,14,14,18,10,17,12,16,2,12,6,16,6,1,6,12,12,5,1,5,3,0,7,8,5,13,14,3,8,10,3,8,6,17,0,4,12,1,13,1,3,3,8,11,3,4,7,9,8,4,11,18,0,18,5,14,6,7,16,1,6,14,3,6,6,1,1,17,10,17,11,1,14,1,8,14,1,3,5,18,13,8,13, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 8,5,18,18,6,4,10,3,18,12,12,2,10,17,12,4,10,16,18,11,6,0,14,8,5,4,1,6,11,13,16,17,12,16,11,4,13,15,18,2,1,8,4,6,14,11,6,15,3,4,16,17,10,18,1,17,4,15,7,1,0,16,10,4,7,7,17,15,5,12,15,18,18,5,9,6,3,7,16,18,8,10,15,0,1,3,12,4,1,13,7,3,3,8,2,4,8,13,4,17,12,6,5,0,3,0,0,18,17,10,11,18,18,14,17,12,17,4,2,4,16,5,0,0,17,18,14,3,11,6,18,5,6,8,6,3,6,18,16,3,17,18,2,8,10,10,13,14,2,10,1,8,9,3,5,0,2,0,16,1,2,3,16,17,8,12,4,6,12,16,5,14,1,3,2,4,0,0,10,4,10,2,3,18,5,6,12,8,18,2,9,17,18,16,2,16,17,14,2,18,17,11,12,1,17,9,8,7,14,6,6,12,16,6, 18,2,17,4,3,13,9,0,5,6,3,10,5,10,14,17,6,3,8,7,16,0,3,17,16,9,0,13,1,18,15,11,18,14,12,10,15,0,15,1,8,4,13,8,4,11,15,8,2,7,14,6,5,5,15,2,5,3,8,13,8,8,3,8,13,6,14,7,12,14,11,4,3,17,14,6,1,6,9,14,11,2,1,5,11,17,13,0,6,14,4,5,17,9,16,7,0,1,17,6,16,3,1,6,15,2,14,7,1,18,7,6,11,17,2,6,4,6,2,1,6,0,10,16,11,12,15,7,5,1,2,6,14,3,3,0,17,4,14,6,10,7,4,12,5,8,13,6,15,13,10,6,10,5,6,8,9,17,0,12,5,13,10,15,12,5,1,15,0,4,14,4,5,1,16,4,11,9,6,2,7,4,7,8,14,11,0,16,17,18,7,0,10,5,10,6,7,11,16,5,13,5,12,1,1,15,11,0,11,4,8,0,8,4, 18,13,10,10,14,3,1,10,16,17,14,8,13,16,11,4,18,0,4,11,15,1,14,6,4,6,4,3,16,0,4,3,10,6,15,4,12,9,8,12,18,10,8,16,9,15,12,4,8,5,14,16,11,9,6,12,3,3,8,3,9,9,10,4,10,10,0,12,1,17,18,18,8,10,16,9,12,11,9,18,14,15,2,2,18,4,17,7,2,17,3,12,7,18,6,5,15,12,14,1,8,3,15,17,17,15,1,7,11,10,18,14,0,4,18,5,10,10,4,15,16,13,0,13,3,12,6,18,2,18,10,15,0,14,10,5,6,11,5,10,9,13,0,3,14,4,14,18,5,13,12,2,3,10,9,14,2,15,3,9,6,9,10,8,7,10,14,17,14,6,15,17,0,4,1,10,14,13,6,16,5,17,14,5,0,18,5,3,0,9,6,14,16,17,12,9,14,5,16,16,4,5,9,4,1,7,3,6,0,0,10,16,3,14, 13,14,8,4,7,10,10,12,14,9,16,9,9,11,11,11,4,14,11,0,1,18,15,0,15,16,7,15,7,18,7,15,4,10,9,4,9,17,6,1,14,18,2,8,5,11,2,18,6,9,8,3,3,9,0,1,14,3,14,11,10,14,3,2,15,1,2,16,15,18,8,15,5,13,18,2,6,5,15,15,12,7,14,0,1,6,1,8,13,18,8,10,10,18,9,3,1,17,1,18,2,1,18,11,2,11,2,15,6,14,3,6,4,15,2,4,3,15,15,14,13,7,14,6,12,3,7,12,2,13,9,18,12,9,18,8,14,8,14,4,8,2,4,4,2,10,0,5,6,6,10,1,13,8,17,13,2,8,10,7,7,11,8,16,3,5,5,6,10,1,10,13,15,16,15,4,0,16,0,2,7,13,6,1,18,4,10,17,12,1,2,11,5,5,13,10,18,8,8,4,15,11,8,12,12,10,5,9,2,4,3,18,15,15, 3,9,6,0,2,18,3,8,0,15,16,8,0,16,7,12,0,2,6,7,8,9,10,6,14,4,9,0,17,9,3,5,0,7,12,17,17,12,14,6,8,4,2,9,10,10,3,13,10,3,12,14,3,14,4,14,4,10,18,17,4,16,1,16,17,11,17,0,4,3,15,13,18,18,11,0,6,1,10,17,1,6,2,5,5,10,13,8,4,18,10,12,3,14,8,2,0,4,18,14,11,11,6,13,14,11,4,6,3,13,5,11,5,3,10,14,13,3,13,17,6,12,6,0,10,14,9,11,16,4,15,18,11,1,2,12,16,4,1,14,2,6,18,9,1,4,13,2,11,12,7,15,8,16,3,7,12,0,8,8,16,15,4,10,9,16,8,10,16,1,17,4,11,3,16,13,15,8,0,14,9,9,8,10,5,18,8,4,16,7,8,2,12,13,6,14,18,11,5,1,3,2,12,10,12,5,13,12,16,8,11,16,3,10, 11,9,17,10,6,0,1,3,0,17,4,3,15,17,6,18,5,14,18,0,8,5,2,8,0,0,7,5,13,11,16,7,12,13,10,6,18,14,18,8,6,7,2,9,4,10,11,5,18,9,16,4,6,0,8,13,2,12,7,15,6,9,9,7,1,0,5,1,3,15,5,14,18,13,0,9,11,11,12,1,7,17,2,11,13,13,14,17,18,4,1,1,0,12,11,9,7,1,8,2,10,17,15,1,12,14,16,10,8,5,15,8,16,0,18,1,7,13,13,3,8,10,5,13,0,17,16,7,6,5,17,16,4,10,0,9,11,7,1,3,3,18,2,11,10,10,18,16,10,8,15,11,7,1,6,0,0,5,9,5,9,16,18,16,8,15,2,13,3,17,2,1,11,0,12,4,11,17,16,6,17,10,17,18,16,7,17,10,15,12,15,10,17,17,7,7,12,6,14,11,4,6,17,10,16,15,15,14,18,13,3,10,8,14, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 8,11,5,10,9,3,6,10,6,2,16,18,12,3,0,17,6,1,7,16,16,1,8,1,14,18,12,16,3,7,5,1,3,12,6,10,13,15,11,6,12,15,16,11,15,0,0,13,15,1,16,8,10,14,6,11,10,6,8,4,7,2,2,1,2,4,16,13,15,17,8,1,10,16,14,5,0,9,3,4,15,8,16,2,4,14,18,7,10,8,4,2,13,11,15,18,2,7,10,2,0,11,12,10,17,17,12,11,4,13,9,3,7,12,3,9,3,2,10,18,15,10,16,6,12,0,13,3,17,0,0,9,15,13,14,9,14,13,12,15,15,14,0,14,2,6,12,12,13,7,3,9,7,3,6,1,16,8,8,1,7,11,2,11,3,8,9,17,5,4,9,9,15,16,3,15,12,7,4,4,16,6,2,8,0,2,8,11,17,4,3,6,14,1,4,6,12,0,15,17,10,3,11,5,5,0,16,6,3,16,9,6,11,13, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 5,17,2,8,10,12,18,7,3,11,6,9,10,6,12,11,5,12,6,6,13,7,7,14,1,17,3,11,14,16,11,2,11,10,10,1,16,1,7,3,12,1,4,12,8,5,14,0,11,0,12,10,1,17,18,1,5,9,3,16,2,15,2,18,6,18,0,12,2,4,9,1,15,8,3,4,11,1,10,13,0,0,9,0,10,8,9,12,15,5,6,12,17,7,13,9,8,17,7,3,5,15,10,10,17,8,3,13,2,4,15,0,0,14,7,17,7,0,4,15,11,16,3,16,17,7,14,15,0,1,7,12,18,9,1,13,11,8,18,11,5,5,16,18,7,5,8,9,5,11,11,5,7,17,16,0,18,8,4,1,10,3,1,9,17,18,15,18,5,15,10,7,12,9,0,12,7,10,1,7,15,2,7,4,1,17,7,15,5,14,8,14,10,10,12,10,14,10,16,6,15,16,0,17,5,9,2,8,8,18,11,3,8,8, 13,15,9,14,11,16,12,9,14,0,1,16,18,2,14,10,16,5,16,1,8,5,13,16,15,10,8,3,10,13,3,13,18,0,15,4,1,17,14,1,6,9,15,1,12,5,10,0,0,13,17,3,3,15,8,14,1,2,18,10,5,16,7,10,10,7,1,1,9,2,12,13,2,2,7,1,15,6,4,18,12,7,9,7,18,1,11,12,2,6,2,3,16,11,11,7,2,15,14,11,0,6,15,7,9,13,10,14,10,10,8,3,17,9,4,8,8,15,13,17,4,7,16,5,13,7,6,3,5,12,3,1,14,16,6,13,8,17,16,3,2,11,15,4,6,15,14,13,15,15,2,7,12,1,7,5,2,8,16,17,4,5,6,4,2,14,2,15,13,17,11,9,3,9,15,3,11,1,13,0,9,5,14,7,1,17,9,18,11,2,16,18,14,4,2,8,8,2,0,5,16,8,9,4,6,6,18,12,7,15,15,17,5,4, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 5,7,12,11,3,10,4,13,16,9,16,13,12,12,18,1,10,12,11,11,3,0,8,7,6,12,2,2,16,13,0,1,10,6,1,9,12,18,17,11,1,17,9,13,4,17,3,9,10,9,8,5,1,4,18,5,1,12,14,11,10,13,7,8,10,2,17,12,8,3,8,13,11,1,4,12,6,2,11,14,5,15,14,14,0,13,11,15,8,16,16,4,17,2,2,2,3,12,0,16,0,12,8,14,5,9,13,8,5,9,4,1,17,15,12,8,6,2,14,3,18,1,6,10,2,13,10,6,14,12,16,11,5,4,11,4,15,1,5,11,10,18,13,18,12,1,4,18,2,11,2,10,14,10,15,16,12,4,1,15,16,6,12,2,16,7,14,2,4,18,17,11,0,9,18,12,8,7,0,13,5,2,15,9,16,18,13,11,16,16,17,3,11,1,16,13,0,18,12,18,14,13,17,13,6,4,10,13,7,0,13,2,18,3, 8,12,14,14,15,15,10,13,4,15,6,9,0,10,17,4,16,8,11,0,13,7,3,8,0,11,15,18,12,10,4,8,18,3,8,3,5,11,15,1,7,18,0,15,15,17,8,9,1,13,17,9,8,1,16,1,9,10,9,8,10,1,8,13,9,12,7,2,17,7,3,18,16,3,13,16,1,13,0,3,10,12,18,15,7,5,10,11,15,6,14,6,17,8,12,12,11,0,0,11,12,2,14,2,8,12,3,9,11,3,4,5,8,5,16,7,8,12,10,2,16,12,9,3,13,15,14,7,0,5,4,0,8,1,12,1,14,8,12,13,1,14,7,2,0,14,5,13,18,4,5,5,15,13,3,11,16,10,15,0,11,16,6,15,4,13,0,5,7,11,2,0,8,16,14,5,6,11,10,1,13,7,5,9,7,1,14,15,12,6,9,14,14,7,14,7,4,1,11,2,10,13,8,17,14,4,13,7,9,7,3,11,16,1, 10,3,8,11,7,18,6,4,10,10,1,8,7,10,9,7,18,3,18,9,18,8,11,18,14,14,4,18,6,12,5,4,14,1,8,10,0,8,18,11,5,17,3,16,5,7,13,17,13,1,13,2,18,11,7,12,15,13,5,3,18,5,12,4,10,0,8,1,5,8,8,4,18,15,4,14,18,2,10,18,17,5,13,7,2,11,5,15,17,10,13,10,18,15,13,11,18,0,13,13,14,1,3,3,0,3,3,14,4,8,5,5,5,13,11,2,10,6,8,7,14,1,14,7,16,12,4,7,4,5,1,9,5,12,16,17,0,5,10,16,2,3,16,16,5,4,1,0,4,18,1,10,4,9,4,6,1,11,7,10,14,17,7,15,2,4,0,12,18,18,8,3,6,11,1,6,5,15,10,5,3,15,0,3,4,13,3,9,15,7,8,5,0,16,11,5,6,12,16,6,14,13,8,9,2,15,6,8,9,1,8,15,18,4, 4,17,17,17,2,1,9,3,2,18,3,3,14,1,4,11,4,13,11,5,18,6,5,5,7,8,17,18,16,17,6,9,11,12,18,9,15,3,10,15,18,1,2,10,12,8,7,16,17,4,2,7,18,17,1,12,12,14,9,16,13,0,6,5,18,0,3,16,12,10,7,7,1,16,10,17,0,15,2,15,7,10,14,13,6,10,7,14,17,0,11,4,1,15,7,5,2,2,17,0,0,1,17,17,8,14,10,7,3,9,0,3,12,8,9,13,6,13,3,12,9,12,12,10,7,14,16,17,18,5,17,9,18,9,2,15,10,17,15,12,4,8,16,15,6,17,15,16,2,9,4,17,1,0,3,3,15,13,17,12,0,15,16,5,18,17,8,11,2,9,9,8,13,8,16,3,3,8,2,18,7,9,3,16,4,12,0,1,15,9,10,18,4,15,9,14,5,17,4,17,17,7,18,8,13,3,14,14,2,9,0,2,9,17, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 18,5,4,15,16,8,2,12,4,3,18,17,5,10,14,13,14,3,14,12,7,4,12,1,17,0,5,5,17,7,8,5,12,2,6,4,3,9,5,13,15,14,17,17,15,3,14,7,17,17,12,3,17,1,2,16,14,17,2,18,14,1,14,18,7,10,5,2,6,10,12,10,12,15,6,7,2,11,16,18,0,8,3,3,15,0,2,2,2,0,6,10,5,13,12,3,16,10,8,13,10,5,5,8,13,8,18,16,11,1,0,13,2,14,7,5,15,1,6,7,9,13,16,17,1,1,11,12,12,15,3,9,13,13,3,13,16,16,17,17,1,15,0,6,5,15,2,15,3,14,4,2,8,12,0,6,1,12,16,18,14,10,0,12,3,11,18,4,16,1,6,2,12,17,17,6,6,0,3,14,4,6,11,7,5,11,6,17,11,9,8,11,8,0,6,6,8,17,6,4,13,3,3,12,2,6,12,9,3,3,10,5,2,0, 18,6,9,0,7,0,17,8,3,3,13,1,18,10,11,15,5,0,2,17,3,15,10,16,16,9,6,4,13,16,13,9,18,17,0,10,2,1,5,8,6,18,2,7,7,3,4,17,14,11,8,17,6,5,11,3,11,10,1,14,16,5,8,15,16,18,13,13,11,8,10,13,2,9,18,9,13,16,5,7,3,3,8,13,8,4,7,3,17,4,10,13,11,13,13,4,17,13,18,6,5,1,2,8,9,11,18,4,9,7,12,3,13,3,14,9,16,14,1,8,0,6,12,1,13,7,14,5,15,7,1,18,10,9,13,9,9,12,18,8,15,6,6,10,1,2,10,1,17,17,6,9,1,0,2,5,15,5,10,8,4,8,10,7,18,2,13,4,5,6,9,18,1,9,7,14,2,9,0,18,1,5,12,7,8,4,11,4,0,12,8,12,15,8,11,6,5,8,14,18,9,3,13,4,2,1,11,13,1,9,16,6,1,7, 14,15,14,15,7,8,4,0,5,15,13,0,9,10,13,2,15,12,11,15,3,2,15,15,16,11,1,15,12,13,10,17,1,3,0,2,4,15,10,9,7,1,11,1,10,9,10,4,11,5,15,17,15,14,13,6,17,5,15,15,18,5,8,4,10,11,9,2,8,1,10,9,12,0,9,0,6,18,16,7,14,16,2,4,12,17,17,5,3,6,13,9,11,6,7,9,18,15,17,1,7,13,17,12,10,18,17,16,7,14,5,0,6,4,14,8,14,7,18,3,17,1,0,5,13,6,6,1,2,12,7,14,7,10,8,15,5,13,3,18,9,7,6,9,3,11,0,8,16,14,12,11,1,13,17,15,16,1,9,14,3,18,8,0,4,4,10,15,1,12,15,18,3,12,14,17,1,11,8,16,18,15,14,3,2,14,5,14,9,9,18,17,3,0,8,8,4,18,8,10,0,1,11,13,17,16,18,10,5,12,6,15,17,11, 4,18,1,17,12,12,6,4,3,18,12,11,2,1,9,9,9,10,18,15,13,4,0,7,3,14,2,12,12,5,16,15,1,4,10,7,9,2,14,0,11,6,1,16,9,18,4,7,6,18,4,15,12,0,12,1,0,5,14,18,13,0,3,0,11,14,5,6,3,17,5,9,4,3,9,18,6,6,17,7,16,3,1,9,4,11,13,7,1,15,5,0,6,14,2,6,9,18,7,14,7,6,11,0,12,6,17,16,3,4,5,8,6,3,11,8,12,13,5,11,5,4,3,4,3,5,14,5,8,0,4,13,7,6,2,2,16,16,14,4,14,1,17,10,7,1,15,11,15,17,4,5,5,11,18,14,14,0,13,15,5,11,12,2,11,3,8,15,17,9,4,9,17,16,17,12,2,1,14,4,2,16,11,0,2,4,2,11,12,13,11,11,17,13,6,1,7,11,17,16,8,1,16,6,18,14,12,8,10,0,16,18,7,3, 11,8,16,2,9,15,16,14,11,14,8,15,11,7,7,12,10,11,15,15,16,2,14,7,6,3,3,14,12,9,0,11,9,11,1,18,15,16,8,13,13,14,13,3,3,7,13,10,1,16,1,13,9,10,12,8,3,8,1,7,8,7,12,5,1,2,5,5,8,15,16,4,9,3,0,13,16,7,13,13,15,0,3,9,1,7,16,12,9,15,8,5,16,7,11,14,14,5,5,17,13,7,2,16,0,13,15,8,5,16,14,5,18,10,1,17,14,15,18,15,7,16,18,2,1,14,1,13,17,10,7,7,15,18,2,2,1,13,13,14,7,0,1,9,14,2,18,2,4,11,6,8,13,11,18,7,1,15,9,10,8,11,16,3,12,2,9,17,2,14,2,7,5,5,5,16,2,7,4,10,4,8,9,18,13,13,4,0,1,7,11,17,6,7,16,7,14,7,13,14,9,11,10,17,6,14,8,5,15,12,17,11,10,5, 9,18,13,9,4,12,15,6,0,9,16,3,14,18,7,12,12,1,8,18,12,16,1,0,0,2,2,10,17,15,2,10,10,7,9,9,17,1,7,7,11,3,18,9,9,1,14,10,5,2,18,11,6,12,5,6,12,3,17,5,10,0,5,5,18,9,4,2,8,5,17,3,7,7,13,5,7,1,14,13,10,3,15,11,14,12,3,12,1,10,15,5,10,16,4,9,4,18,1,14,12,10,13,9,13,1,14,7,15,13,7,12,17,7,15,8,15,6,1,1,9,5,12,18,4,8,9,9,15,10,15,8,15,14,17,4,11,2,11,6,10,10,14,2,3,18,12,2,8,14,10,14,12,3,3,17,10,7,9,1,0,5,4,11,16,3,7,17,11,7,1,18,1,13,17,3,17,4,5,17,13,0,2,11,13,7,6,8,4,14,0,5,11,4,13,6,9,15,2,4,7,3,7,10,18,10,6,0,7,3,8,0,8,13, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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7,18,7,18,7,15,3,4,14,8,8,0,1,9,16,2,7,11,5,14,18,5,7,18,10,1,0,5,17,5,18,10,6,3,0,6,13,3,6,5,1,15,9,7,18,5,5,5,15,14,2,3,16,1,12,15,3,12,17,1,6,3,14,10,5,3,9,13,11,5,5,7,14,17,16,7,8,11,7,7,0,10,12,11,11,16,14,18,13,6,5,7,7,1,10,5,4,11,16,13,11,1,9,6,13,16,1,9,5,7,12,3,16,16,12,9,9,7,0,15,9,11,6,4,2,13,0,12,3,10,12,6,14,8,5,17,7,1,5,0,11,6,5,2,13,11,16,16,8,9,13,2,11,7,3,4,1,16,13,14,8,0,1,4,10,7,5,2,13,12,4,9,3,18,14,15,18,13,0,13,6,16,13,7,5,1,9,12,2,5,13,17,18,8,18,15,4,17,15,3,8,0,5,2,10,15,2,8,8,1,1,4,16,18, 13,6,1,8,1,18,7,17,5,7,6,3,16,7,9,3,5,10,9,9,3,5,4,8,8,17,11,7,8,11,6,4,4,12,18,16,12,13,10,10,18,17,7,2,10,9,3,4,11,1,13,1,6,2,11,1,10,4,8,9,16,13,9,14,12,1,12,9,6,7,15,13,5,2,18,18,3,15,3,7,17,0,14,11,1,9,12,7,6,2,17,2,17,8,1,14,4,6,16,8,2,9,9,0,6,2,2,13,4,13,12,5,11,2,2,13,6,18,10,15,9,14,18,11,0,12,11,10,1,8,15,10,9,1,5,18,2,0,12,10,13,0,7,12,15,14,10,12,5,3,0,17,8,15,17,18,3,16,14,3,5,14,17,17,9,15,2,14,3,15,11,10,8,3,5,11,16,3,18,8,4,15,1,2,8,5,4,14,9,14,9,7,17,7,5,5,6,5,16,14,17,14,10,14,13,8,15,15,6,1,1,5,8,9, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 11,11,6,11,14,15,0,15,3,6,4,12,2,11,5,14,16,0,12,11,11,6,18,14,4,9,9,0,5,2,1,8,8,16,14,14,14,3,12,4,17,5,3,3,10,10,13,7,5,6,13,5,17,4,4,15,1,12,13,1,0,15,5,15,0,0,1,6,11,14,10,1,13,16,12,15,16,18,10,0,11,18,13,12,6,4,8,11,3,2,9,9,12,17,7,16,1,1,16,5,8,14,7,3,17,0,4,18,17,10,10,6,3,18,9,12,13,6,13,0,3,12,9,15,6,6,9,17,12,16,8,5,18,8,13,7,0,17,9,16,0,13,18,8,5,15,4,1,15,18,9,4,1,12,13,16,7,9,17,2,11,6,18,1,9,14,16,1,18,2,2,13,9,1,6,3,17,3,10,4,13,18,16,10,12,14,7,3,8,4,3,17,7,18,9,11,3,2,17,11,15,16,11,9,16,6,18,7,5,18,11,16,0,16, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 13,16,3,9,7,6,13,17,18,13,0,18,5,4,14,14,14,8,14,2,6,0,2,10,0,6,5,8,3,6,3,11,3,14,4,14,16,2,10,13,12,14,3,16,5,6,6,13,2,5,17,6,4,10,10,17,18,11,18,17,4,16,14,9,18,1,14,16,4,13,5,2,4,18,9,10,13,12,6,6,10,2,14,11,4,17,0,2,6,2,11,7,5,12,18,6,14,18,13,7,8,14,18,13,17,8,8,13,17,6,14,13,17,8,2,5,15,14,18,17,13,9,0,6,13,9,0,3,12,7,13,6,5,6,2,7,6,2,1,2,12,5,9,1,18,1,5,3,10,10,0,4,11,6,1,14,9,17,9,10,9,15,12,2,4,16,15,16,17,4,3,10,9,14,17,3,14,4,10,14,10,10,6,11,9,16,15,5,12,15,15,13,8,8,8,5,5,17,0,5,9,14,5,11,1,0,1,11,0,15,11,2,14,10, 1,18,16,14,7,10,8,15,5,10,6,14,13,9,15,8,4,3,9,18,16,17,12,17,16,17,5,5,9,16,7,11,7,15,14,3,8,15,0,13,12,7,13,6,13,1,9,9,3,7,3,9,10,17,16,1,8,14,15,0,1,2,8,14,1,9,13,1,14,11,2,14,14,18,18,2,5,1,6,7,5,17,2,9,13,17,17,11,18,10,3,11,12,3,9,17,5,17,16,10,8,7,1,3,1,13,0,2,1,15,8,12,10,15,6,18,13,0,5,1,9,15,7,12,18,18,14,14,14,2,4,12,18,11,17,9,17,7,0,11,7,5,17,2,9,10,2,2,10,11,5,18,3,8,13,9,5,4,8,5,9,18,0,14,16,11,9,8,15,3,5,3,17,10,3,1,4,0,8,18,11,17,7,0,7,0,17,18,12,7,1,15,15,1,15,8,13,17,12,12,7,12,17,2,6,13,0,4,12,8,11,10,8,16, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 10,10,12,9,14,9,15,11,0,13,10,12,4,7,13,17,4,10,2,13,5,6,11,16,5,6,0,13,9,12,18,3,13,10,8,16,13,9,15,3,5,15,18,9,15,15,11,12,15,4,5,16,3,18,12,12,5,14,16,6,0,18,9,0,15,1,4,8,12,15,7,15,1,2,0,10,14,8,2,17,18,17,10,5,8,0,5,17,7,9,14,6,10,14,13,8,14,0,14,15,18,2,8,11,14,15,6,13,7,14,7,7,7,16,4,3,16,0,10,9,9,9,3,0,12,9,12,13,5,5,4,8,17,18,2,11,10,1,8,4,8,5,11,11,2,14,8,0,15,3,14,0,5,15,10,2,9,13,15,6,14,4,1,11,4,6,1,11,14,13,18,0,10,3,11,3,3,3,15,14,14,11,12,17,8,16,6,9,13,10,0,15,11,16,10,7,9,9,1,8,13,8,9,12,14,17,0,6,13,14,18,16,8,10, 8,5,10,11,13,9,13,18,1,14,4,6,0,3,13,6,17,8,7,1,9,3,13,1,9,2,2,18,18,11,5,3,18,15,10,7,18,8,4,13,10,10,5,2,9,8,16,14,8,18,0,11,7,16,18,15,14,7,2,15,3,16,15,14,13,7,0,9,4,15,18,6,1,6,5,4,9,3,13,1,8,7,14,6,5,12,2,12,9,15,15,10,14,9,5,0,12,1,1,17,11,10,10,12,1,3,18,17,10,2,17,13,1,17,4,18,3,0,16,18,4,9,9,9,4,4,11,8,11,13,15,8,13,6,12,6,18,5,11,12,13,10,14,8,10,10,6,0,4,0,9,12,10,13,18,9,7,2,9,10,6,6,18,17,15,1,9,13,11,8,2,17,17,11,18,14,9,12,14,1,0,3,17,8,16,0,1,0,16,17,6,18,13,13,9,4,14,16,7,3,0,13,3,4,14,1,18,14,2,17,4,16,9,9, 2,4,6,16,14,1,2,5,14,8,15,12,4,11,16,0,4,10,4,12,2,6,17,5,6,7,3,18,11,2,15,1,16,0,4,4,4,14,9,1,1,16,4,0,10,8,4,8,11,3,10,8,10,6,9,2,7,2,13,0,7,6,16,9,11,17,9,9,12,12,4,4,15,6,6,14,14,5,18,8,16,14,13,4,8,10,4,10,4,3,7,14,7,17,9,17,3,17,17,13,2,17,0,8,1,17,1,13,1,11,4,4,18,9,10,1,12,6,12,18,11,7,5,18,7,5,6,6,0,10,10,6,0,15,5,6,0,2,4,10,2,1,2,16,8,13,7,8,12,12,16,11,14,16,3,17,15,12,0,5,0,9,15,18,15,17,12,1,15,10,0,9,10,3,17,4,16,1,2,4,6,0,18,12,9,9,12,15,9,12,4,9,18,17,10,4,10,6,15,3,8,1,2,1,16,15,5,3,5,15,17,18,2,17, 9,18,12,14,13,2,16,10,2,1,8,1,12,3,0,1,0,8,8,4,4,10,6,11,8,8,16,13,17,0,5,8,12,15,15,18,6,1,6,11,12,12,5,16,10,2,14,12,4,13,3,3,8,10,8,8,18,2,14,18,0,10,5,2,15,2,18,16,7,2,13,8,7,0,3,7,3,1,2,11,16,6,4,13,12,4,10,11,16,15,1,4,3,3,0,12,12,9,10,17,10,14,6,13,13,4,9,18,17,17,9,1,16,18,9,13,0,17,4,9,1,1,3,17,13,16,0,6,18,17,3,1,14,18,8,13,2,11,8,13,4,18,4,10,8,3,12,14,4,3,9,12,7,14,10,16,7,1,15,10,12,5,9,8,10,1,6,10,13,1,15,11,6,18,2,14,15,8,0,16,3,9,5,13,9,15,12,15,3,5,8,2,7,9,5,6,12,8,15,12,15,6,2,17,10,17,18,12,5,7,3,12,7,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]); G:=MatrixGroup<214,F|x,y>; print "Group G is J3:2 < GL(214,GF(19))";