/* www-ATLAS of Group Representations. J2 represented as 70 x 70 matrices over GF(49). */ F:=GF(49); x:=CambridgeMatrix(3,F,70,\[ 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, 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, 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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15,45,25,17,30,47,5,16,17,43,9,43,1,28,6,35,39,44,48,36,22,39,8,17,45,18,45,26,4,15,28,1,41,23,16,27,43,3,5,46,1,39,10,48,6,22,29,39,27,25,39,25,16,31,37,31,21,8,21,24,11,22,29,41,14,19,5,19,19,26, 5,5,39,3,31,18,36,47,25,1,19,29,5,26,1,46,34,42,38,44,15,32,40,36,9,45,21,47,47,21,34,48,40,46,25,11,29,37,48,7,26,42,31,25,18,40,11,18,22,44,31,27,33,32,19,27,19,13,1,43,20,5,23,42,41,19,34,16,8,43, 25,5,47,10,25,18,7,11,46,19,40,26,43,13,27,1,18,7,46,41,14,12,19,42,15,23,46,30,2,48,30,7,21,34,2,43,9,46,22,47,19,45,46,45,4,4,43,25,41,48,34,12,29,6,44,0,36,44,12,39,0,45,19,18,0,3,30,37,14,23, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 29,11,23,18,36,28,40,39,34,5,1,33,30,30,30,3,6,5,48,7,4,7,11,26,13,4,7,0,36,29,25,28,4,30,18,38,34,0,8,12,25,44,0,41,44,19,18,45,35,44,4,38,7,12,38,9,23,28,28,12,23,30,47,29,46,21,32,6,45,25, 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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 37,16,17,13,6,39,27,20,10,17,48,3,1,44,14,23,7,1,16,35,48,10,4,26,25,12,32,9,8,38,17,21,36,36,14,12,41,36,44,37,26,5,19,46,13,11,19,28,31,40,18,1,35,2,24,16,44,0,23,16,27,8,7,38,33,13,19,41,46,32]); G:=MatrixGroup<70,F|x,y>; print "Group G is J2 < GL(70,GF(49))";