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