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