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