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