/* www-ATLAS of Group Representations. J1 represented as 77 x 77 matrices over GF(49). */ F:=GF(49); x:=CambridgeMatrix(3,F,77,\[ 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, 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, 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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35,43,37,2,30,20,46,26,27,30,36,30,35,46,12,20,26,9,16,14,15,43,21,44,42,30,12,31,14,0,34,43,3,22,25,32,22,12,12,3,31,1,3,46,7,45,6,31,7,46,2,24,31,20,21,28,42,36,17,28,45,26,2,47,3,15,21,2,26,37,46,42,2,22,34,41,28, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 5,3,32,39,23,41,22,4,37,23,37,0,8,21,10,36,10,2,21,2,20,22,32,28,12,31,15,30,14,40,24,9,42,39,9,45,18,47,18,9,47,4,5,17,0,10,44,32,29,16,48,21,3,30,37,33,4,10,29,17,39,14,47,18,38,40,48,28,21,8,5,24,32,47,20,13,21, 6,1,5,9,36,17,46,38,45,36,29,5,47,8,1,18,27,48,48,31,18,48,6,31,29,24,40,48,7,32,32,25,25,8,14,1,42,48,30,40,24,34,10,6,3,48,7,26,25,41,10,45,19,36,3,46,40,8,10,4,26,43,1,22,24,2,39,38,39,4,48,16,23,17,17,48,30, 42,22,22,15,18,35,9,17,38,32,44,33,24,25,42,19,18,27,9,38,12,31,31,34,11,23,30,7,7,25,13,22,35,25,37,32,25,37,0,24,14,15,16,21,23,27,4,11,14,13,7,43,28,45,20,37,17,45,33,25,6,30,44,2,18,12,29,19,41,46,16,36,27,29,11,29,8, 6,46,39,23,30,2,40,3,0,3,32,11,36,46,48,44,38,40,13,37,24,24,48,5,29,34,30,43,8,42,46,5,44,9,20,21,30,46,17,3,13,8,2,15,17,39,34,47,35,9,35,26,12,19,12,47,8,1,39,18,25,45,25,7,39,24,37,39,13,46,26,46,44,35,2,17,6, 48,30,4,14,27,23,41,34,8,10,23,14,23,0,26,27,33,36,34,34,11,40,6,32,1,17,25,4,28,19,3,9,26,24,32,17,5,47,9,6,23,11,18,26,14,28,26,39,36,36,39,12,27,28,46,8,8,2,1,43,19,47,47,6,37,5,13,14,19,31,3,18,23,25,6,25,19]); G:=MatrixGroup<77,F|x,y>; print "Group G is J1 < GL(77,GF(49))";