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97,92,25,16,107,67,66,112,71,9,27,18,29,6,77,111,63,2,14,42,119,14,117,60,77,4,109,55,22,109,108,8,99,101,117,91,15,6,52,91,74,12,39,41,88,111,72,58,19,110,62,12,48,85,68,30,60,100,47,46,22,1,86,3,107,117,82,102,77,99,81,55,86,84,0,90,96,89,45,68,39,12,40,57,47,44,106,3,70,93, 118,39,85,3,27,0,53,59,59,24,8,106,56,45,2,26,3,23,10,90,32,31,23,89,113,43,98,87,75,28,105,43,20,20,46,12,73,93,118,79,0,13,117,63,41,22,13,101,32,70,42,50,73,103,32,66,67,32,68,95,112,34,56,118,8,44,36,99,81,114,50,54,36,20,4,69,48,102,83,3,66,118,101,89,60,61,101,49,97,89, 44,53,59,48,83,71,65,81,19,69,74,119,47,100,19,42,82,14,11,41,110,78,115,16,69,50,5,96,41,107,46,68,34,24,56,89,111,35,25,23,116,81,94,9,91,26,74,97,56,85,77,70,31,81,116,89,104,101,42,10,13,49,89,48,15,25,27,0,79,92,79,50,30,29,46,53,25,97,60,96,105,46,40,46,37,105,20,19,46,20, 95,90,71,32,26,118,89,90,88,115,22,110,14,89,103,63,24,61,76,85,78,22,72,41,22,18,58,120,104,72,82,51,113,19,113,72,113,115,17,81,84,10,22,7,48,46,38,13,53,11,9,94,80,60,83,113,17,11,42,109,46,93,3,37,56,102,65,30,61,76,0,40,32,112,97,41,35,98,15,49,35,77,32,37,85,79,102,113,74,51, 67,15,58,68,88,65,107,24,0,28,95,96,14,10,72,86,54,95,69,40,102,22,83,14,34,58,105,77,41,76,0,64,39,11,89,114,51,2,52,108,37,28,60,39,29,45,102,25,86,108,73,57,57,86,55,106,18,34,36,42,7,32,25,73,43,109,13,3,20,26,47,97,21,25,75,32,38,92,62,18,86,65,97,43,85,65,65,9,63,103, 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, 30,115,112,75,103,12,51,117,66,98,43,44,39,1,0,68,84,108,33,102,30,93,16,37,96,112,116,119,81,24,116,45,63,117,91,101,110,98,81,96,89,82,14,74,99,51,85,59,87,24,3,61,66,108,91,33,3,69,66,37,81,6,12,64,4,27,25,12,3,57,26,7,40,94,54,24,24,44,83,30,6,12,20,112,91,13,56,107,75,88, 33,109,109,107,36,43,115,66,74,103,56,14,79,26,94,78,81,24,69,14,32,117,46,105,84,40,78,120,70,59,66,77,2,116,68,44,2,71,89,40,20,83,43,28,6,95,2,47,48,28,61,67,28,27,24,25,22,68,32,98,12,68,62,87,58,101,110,16,52,90,77,1,92,103,19,75,70,109,20,11,9,103,104,16,65,7,105,99,59,85, 60,49,5,56,73,85,75,95,60,51,79,32,78,60,69,8,21,111,116,21,88,87,87,44,47,37,80,104,110,63,49,26,95,74,36,27,109,39,46,79,5,51,29,59,16,10,41,92,1,89,65,38,1,23,55,117,33,72,70,80,75,11,52,56,62,102,66,103,34,118,48,95,40,69,25,113,110,118,17,42,51,32,84,7,43,68,72,69,16,59, 87,63,100,79,41,71,6,79,36,89,33,89,44,112,38,27,80,86,22,42,80,29,98,68,37,50,81,8,115,99,1,70,59,59,77,53,47,104,10,114,33,100,8,7,85,36,10,78,104,112,5,26,106,67,4,7,91,96,88,11,20,4,19,72,71,89,61,87,68,86,98,112,92,45,58,37,117,59,61,37,54,106,5,58,90,47,25,83,11,110, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,107,54,13,79,110,16,90,119,15,99,32,55,75,3,20,69,2,41,113,7,50,103,88,55,30,59,74,119,118,34,26,96,67,98,29,13,7,113,74,66,23,6,78,76,60,31,33,82,102,106,84,82,108,62,102,112,71,67,42,115,72,46,83,64,44,110,9,20,74,116,76,95,106,42,60,84,16,51,18,98,3,12,2,17,73,3,6,104,84, 23,48,26,73,10,86,33,54,95,55,58,104,25,62,108,73,10,93,84,38,81,74,45,108,109,89,50,108,61,115,40,106,39,10,20,15,20,4,111,80,19,112,21,50,15,77,42,32,96,102,23,55,41,102,120,49,71,50,12,12,81,72,117,0,22,110,56,9,72,64,19,109,34,61,64,61,65,11,71,78,81,81,35,29,115,71,36,48,2,100, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 45,92,54,2,6,59,88,26,101,119,112,57,74,80,25,13,20,66,91,67,68,65,82,8,113,25,77,67,70,46,109,112,44,58,96,81,115,56,103,71,110,2,108,109,92,85,107,117,78,54,77,107,41,88,39,31,80,67,47,11,7,47,59,57,98,35,105,3,64,60,11,43,91,48,2,114,104,66,0,101,113,17,113,24,3,73,27,72,79,45, 5,33,114,36,68,119,117,102,75,24,63,35,104,8,118,99,0,50,15,89,59,52,41,4,90,61,2,4,99,98,64,104,55,34,84,78,74,58,47,55,102,7,67,35,95,113,119,95,42,74,115,88,92,40,24,94,76,102,119,92,110,0,31,76,33,59,102,67,90,42,87,67,44,101,90,70,60,67,81,67,57,50,119,30,30,72,50,66,98,0, 70,46,98,115,112,28,14,76,115,97,115,5,38,94,54,70,112,61,14,97,32,5,84,110,89,23,56,81,91,113,69,112,114,18,94,117,46,58,92,49,107,38,52,0,106,47,99,106,63,105,104,94,108,73,107,98,29,100,101,0,56,32,93,89,60,57,57,75,104,84,115,69,80,25,40,13,19,52,119,101,62,52,112,90,70,91,5,16,78,16, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 30,105,41,62,72,101,48,29,101,38,62,17,50,91,113,77,106,70,76,67,61,32,103,46,109,21,111,7,20,107,6,83,27,46,76,119,106,73,76,57,102,7,74,51,98,111,46,68,73,120,29,37,9,70,41,100,23,76,112,76,109,37,119,70,73,42,16,65,26,47,68,59,87,96,55,29,66,41,14,52,1,21,108,99,77,26,56,110,33,105, 49,24,83,57,100,35,104,91,48,4,14,55,57,115,61,71,79,73,67,46,10,10,86,53,99,36,91,52,87,87,14,18,113,115,32,31,16,53,104,106,5,109,82,50,22,10,20,4,66,23,44,64,113,41,92,86,13,94,21,11,81,28,102,37,93,10,82,9,112,52,1,0,83,36,61,40,13,42,29,83,77,72,95,86,76,13,112,89,65,73, 71,32,16,100,61,53,11,90,91,112,93,73,20,65,20,108,65,7,62,42,70,113,39,39,103,29,109,19,117,17,30,113,58,120,12,62,99,74,57,45,69,96,66,17,80,15,67,33,87,40,16,67,64,59,56,103,70,48,64,37,78,79,60,13,80,57,2,67,97,85,42,14,63,98,120,48,10,57,8,114,28,97,52,87,86,14,72,40,84,84, 16,18,70,22,43,55,87,103,25,77,49,114,46,109,94,0,78,60,95,65,72,35,38,90,54,83,41,115,119,28,43,85,119,40,55,103,25,76,31,48,52,102,67,17,78,76,116,118,39,5,85,15,59,108,117,1,21,77,32,8,80,52,61,76,117,89,65,96,24,94,48,25,25,31,62,9,81,73,66,93,83,111,53,69,114,25,65,25,32,98, 77,99,3,48,90,77,72,85,19,43,28,78,62,35,102,18,58,78,21,115,113,21,86,106,69,26,20,7,93,107,109,26,99,95,47,10,39,61,65,69,114,74,71,5,70,37,110,32,15,106,0,70,35,19,45,87,97,41,66,115,92,21,37,90,2,93,97,111,31,107,86,65,42,42,69,37,14,7,119,4,59,96,24,107,25,33,14,20,79,13, 83,107,10,115,9,48,96,82,4,11,81,97,21,105,36,33,76,103,102,51,98,23,105,29,67,92,84,85,92,114,27,108,118,102,120,2,32,45,9,73,78,41,51,111,108,42,36,59,106,88,114,33,26,26,45,78,48,39,38,27,46,9,67,71,48,55,18,108,53,24,23,17,78,81,50,59,15,108,120,93,90,60,82,109,88,66,35,93,16,106, 106,117,54,97,45,9,117,42,55,67,53,34,52,21,47,89,90,68,99,66,92,22,16,42,115,69,54,65,84,32,10,36,46,75,101,44,66,85,92,40,44,24,46,4,74,42,10,94,92,43,10,24,12,91,110,52,0,21,113,109,90,96,65,102,66,103,48,23,50,79,10,28,15,118,26,113,120,45,5,25,7,39,6,101,30,110,116,62,102,61, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 83,7,78,96,60,38,84,62,5,3,84,115,73,74,18,9,101,42,17,20,11,99,13,48,2,73,18,64,114,68,26,104,74,42,96,43,114,62,93,102,27,3,68,64,38,14,115,36,48,14,43,84,49,45,40,97,18,64,100,85,96,92,57,73,80,41,1,74,95,112,29,85,103,114,75,73,64,93,8,111,96,38,27,114,84,11,117,106,50,107, 34,27,55,102,81,55,60,17,97,22,21,46,48,18,10,15,7,9,28,98,107,96,51,29,14,24,102,22,99,115,15,20,97,118,77,104,108,12,78,80,109,20,32,104,59,30,12,23,88,113,31,21,108,36,55,30,59,117,79,83,85,23,66,91,34,7,7,19,0,107,112,60,106,118,11,35,33,15,30,65,55,80,114,8,63,82,58,44,20,55]); G:=MatrixGroup<90,F|x,y>; print "Group G is 6.M22 < GL(90,GF(121))";