/* www-ATLAS of Group Representations. J1 represented as 56 x 56 matrices over GF(49). */ F:=GF(49); x:=CambridgeMatrix(3,F,56,\[ 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, 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, 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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0,43,25,28,45,45,36,29,35,9,0,34,33,40,42,15,0,44,41,3,22,0,21,27,9,12,42,34,30,10,15,36,41,47,47,47,16,20,48,32,39,16,36,32,29,14,4,2,44,47,4,1,9,27,18,2, 17,19,44,2,46,24,44,44,42,44,34,43,23,34,42,44,14,38,42,12,16,17,44,15,10,27,36,38,28,45,6,24,47,17,9,20,30,32,27,36,20,24,8,44,14,3,23,9,6,32,36,22,26,10,38,7, 30,18,46,28,7,19,34,39,47,33,48,35,26,6,36,2,32,5,11,6,24,0,39,48,24,23,46,0,24,21,18,47,22,33,3,0,18,24,25,41,18,2,8,31,21,35,41,45,5,15,15,32,27,27,42,23]); G:=MatrixGroup<56,F|x,y>; print "Group G is J1 < GL(56,GF(49))";