(*all psd facets, from Dan Ciubotaru *) facets:= {0,1,2,3,4,5,6,23}, {0,1,1,2,3,4,5,18}, {0,1,1,2,2,3,4,15}, {0,0,1,1,2,3,4,13}, {0,0,1,1,2,2,3,11}, {0,1/2,1/2,1,2,3,4,13}, {0,0,1,1,1,2,3,10}, {0,0,1,1,1,2,2,9}, {0,1/2,1/2,1,1,2,3,10}, {0,0,1,1,1,2,3,8}, {0,1/2,1/2,1,3/2,3/2,2,9}, {0,1/3,2/3,1,4/3,5/3,2,9}, {0,0,1,1,1,2,2,7}, {0,1/2,1/2,1,1,2,3,8}, {0,0,1/2,1/2,1,2,3,8}, {0,1/3,1/3,2/3,1,2,3,8}, {0,1/5,2/5,3/5,1,2,3,8}, {0,1/4,1/2,3/4,1,2,3,8}, {0,0,0,1,1,1,2,7}, {0,0,1,1,1,1,2,6}, {0,0,1/2,1/2,1,1,2,7}, {0,0,1/2,1/2,1,1,2,6}, {0,0,1/2,1/2,1,3/2,3/2,6}, {0,1/3,1/3,2/3,1,4/3,5/3,6}, {0,1/5,2/5,3/5,1,7/5,8/5,6}, {0,1/4,1/2,3/4,1,5/4,7/4,6}, {0,0,1/2,1/2,1,1,3/2,11/2}, {0,0,0,0,1,2,3,8}, {0,0,1/3,1/3,1,2,3,8}, {0,1/4,1/4,1/2,1,2,3,8}, {0,2/5,2/5,4/5,1,2,3,8}, {0,1/2,1/2,1/2,1/2,1,2,7}, {0,1/3,1/3,2/3,2/3,1,2,7}, {0,1/4,1/2,1/2,3/4,1,2,7}, {0,0,0,1,1,1,2,5}, {0,0,0,0,1,1,2,6}, {0,0,1/3,1/3,1,1,2,6}, {0,0,1/2,1/2,1,1,2,5}, {0,0,1/2,1/2,1,1,1,5}, {0,1/4,1/2,1/2,3/4,1,3/2,5}, {0,1/3,1/3,2/3,2/3,1,4/3,5}, {0,1/5,2/5,3/5,4/5,1,8/5,5}, {0,1/5,2/5,3/5,4/5,1,6/5,5}, {0,2/7,3/7,4/7,5/7,1,10/7,5}, {0,1/2,1/2,1/2,1/2,1,2,5}, {0,1/3,1/3,2/3,2/3,1,2,5}, {0,1/4,1/2,1/2,3/4,1,2,5}, {0,0,0,0,1,1,1,5}, {0,0,1/2,1/2,1/2,1,3/2,5}, {0,1/4,1/4,1/2,1/2,1,3/2,5}, {0,1/3,1/3,1/3,2/3,1,5/3,5}, {0,0,1/3,1/3,1,1,1,5}, {0,1/5,1/5,2/5,3/5,1,7/5,5}, {0,1/4,1/4,1/2,3/4,1,5/4,5}, {0,0,1/3,2/3,2/3,1,5/3,5}, {0,1/4,1/4,1/2,3/4,1,7/4,5}, {0,0,1/3,1/3,2/3,1,4/3,5}, {0,1/6,1/2,1/2,2/3,1,3/2,5}, {0,1/5,2/5,3/5,3/5,1,7/5,5}, {0,1/5,2/5,2/5,4/5,1,9/5,5}, {0,1/5,2/5,2/5,3/5,1,8/5,5}, {0,2/7,2/7,3/7,4/7,1,11/7,5}, {0,1/6,1/3,1/2,2/3,1,4/3,5}, {0,1/6,1/3,1/2,5/6,1,7/6,5}, {0,1/7,3/7,4/7,5/7,1,11/7,5}, {0,1/6,1/3,1/2,2/3,1,5/3,5}, {0,2/9,4/9,5/9,2/3,1,13/9,5}, {0,0,0,1,1,1,1,4}, {0,0,0,1/2,1/2,1,2,5}, {0,0,1/3,1/3,2/3,1,2,5}, {0,1/4,1/4,1/4,3/4,1,2,5}, {0,0,1/5,2/5,3/5,1,2,5}, {0,1/4,1/4,1/2,1/2,1,2,5}, {0,0,1/4,1/2,3/4,1,2,5}, {0,1/6,1/6,1/3,2/3,1,2,5}, {0,1/5,1/5,2/5,4/5,1,2,5}, {0,1/7,2/7,2/7,5/7,1,2,5}, {0,1/6,1/3,1/3,5/6,1,2,5}, {0,1/5,2/5,2/5,3/5,1,2,5}, {0,1/8,1/4,3/8,3/4,1,2,5}, {0,1/7,2/7,3/7,4/7,1,2,5}, {0,1/6,1/3,1/2,2/3,1,2,5}, {0,0,1/2,1/2,1,1,1,4}, {0,0,0,1/2,1/2,1,1,4}, {0,0,1/3,1/3,2/3,1,1,4}, {0,0,1/5,2/5,3/5,1,1,4}, {0,0,1/4,1/2,3/4,1,1,4}, {0,1/2,1/2,1/2,1/2,1,1,4}, {0,1/3,1/3,2/3,2/3,1,1,4}, {0,1/4,1/2,1/2,3/4,1,1,4}, {-1/4,1/4,1/4,1/4,3/4,3/4,5/4,15/4}, {1/8,1/8,3/8,3/8,5/8,7/8,9/8,31/8}, {1/6,1/6,1/6,1/2,1/2,5/6,7/6,23/6}, {0,1/5,1/5,2/5,3/5,4/5,6/5,19/5}, {1/10,1/10,3/10,1/2,7/10,9/10,11/10,39/10}, {1/7,1/7,2/7,3/7,4/7,6/7,8/7,27/7}, {0,0,1/2,1/2,1/2,1/2,1,4}, {0,1/4,1/2,1/2,1/2,3/4,1,4}, {0,1/3,1/3,1/3,2/3,2/3,1,4}, {0,1/3,1/3,1/2,1/2,2/3,1,4}, {0,1/5,1/5,2/5,3/5,4/5,1,4}, {0,1/6,1/3,1/3,2/3,5/6,1,4}, {0,0,1/4,1/2,1/2,3/4,1,4}, {0,1/5,2/5,2/5,3/5,3/5,1,4}, {0,1/4,3/8,1/2,1/2,5/8,1,4}, {0,1/5,2/5,3/5,3/5,4/5,1,4}, {0,1/6,1/2,1/2,2/3,5/6,1,4}, {0,2/7,3/7,3/7,4/7,5/7,1,4}, {0,1/4,1/4,1/2,3/4,3/4,1,4}, {0,3/10,2/5,1/2,1/2,7/10,1,4}, {0,1/8,1/4,3/8,5/8,7/8,1,4}, {0,1/7,2/7,3/7,4/7,5/7,1,4}, {0,1/4,3/8,1/2,5/8,3/4,1,4}, {0,1/7,2/7,3/7,5/7,6/7,1,4}, {0,0,1/3,1/3,2/3,2/3,1,11/3}, {0,0,1/2,1/2,1/2,1,1,7/2}, {0,1/5,1/5,2/5,3/5,4/5,1,18/5}, {0,1/5,2/5,2/5,3/5,4/5,1,19/5}, {0,1/4,1/4,1/2,1/2,3/4,1,15/4}, {0,1/8,1/4,3/8,5/8,3/4,1,29/8}, {0,1/7,2/7,3/7,4/7,6/7,1,25/7}, {0,1/6,1/3,1/2,2/3,5/6,1,23/6}, {0,1/7,2/7,3/7,4/7,5/7,1,26/7}, {0,2/9,1/3,4/9,5/9,7/9,1,34/9}, {0,0,0,0,0,1,2,5}, {0,0,0,1/3,1/3,1,2,5}, {0,0,1/4,1/4,1/2,1,2,5}, {0,1/5,1/5,1/5,3/5,1,2,5}, {0,1/3,1/3,1/3,1/3,1,2,5}, {0,0,2/5,2/5,4/5,1,2,5}, {0,1/5,1/5,2/5,2/5,1,2,5}, {0,1/6,1/3,1/3,1/2,1,2,5}, {0,1/9,1/3,1/3,7/9,1,2,5}, {0,1/7,3/7,3/7,5/7,1,2,5}, {0,0,0,0,0,1,1,4}, {0,0,0,1/3,1/3,1,1,4}, {0,0,1/4,1/4,1/2,1,1,4}, {0,0,2/5,2/5,4/5,1,1,4}, {1/2,1/2,1/2,1/2,1/2,1/2,3/2,7/2}, {0,1/3,1/3,1/3,2/3,2/3,4/3,11/3}, {-1/4,1/4,1/4,1/4,3/4,3/4,3/4,13/4}, {0,0,1/4,1/2,1/2,3/4,1,7/2}, {0,1/3,1/3,1/3,2/3,2/3,1,10/3}, {1/10,1/10,3/10,1/2,1/2,7/10,9/10,33/10}, {0,1/9,2/9,4/9,5/9,7/9,1,32/9}, {0,1/7,2/7,3/7,4/7,5/7,1,24/7}, {0,1/7,2/7,3/7,4/7,5/7,6/7,23/7}, {1/16,3/16,5/16,7/16,9/16,11/16,15/16,53/16}, {-1/8,1/8,1/8,3/8,3/8,5/8,11/8,29/8}, {0,0,1/3,1/3,1/3,2/3,4/3,11/3}, {0,0,1/2,1/2,1/2,1/2,3/2,7/2}, {1/4,1/4,1/4,1/4,1/4,3/4,5/4,15/4}, {-1/14,1/14,3/14,5/14,5/14,9/14,19/14,51/14}, {0,1/6,1/6,1/3,1/3,2/3,4/3,11/3}, {-1/10,1/10,3/10,3/10,1/2,7/10,13/10,37/10}, {1/10,1/10,3/10,3/10,3/10,7/10,13/10,37/10}, {-1/12,1/12,1/4,5/12,5/12,7/12,17/12,43/12}, {1/12,1/12,5/12,5/12,3/4,11/12,13/12,47/12}, {0,1/4,1/4,1/4,1/2,3/4,5/4,15/4}, {1/6,1/6,1/3,1/3,1/2,5/6,7/6,23/6}, {1/5,1/5,1/5,2/5,2/5,4/5,6/5,19/5}, {0,1/5,1/5,2/5,2/5,3/5,7/5,18/5}, {1/8,1/8,3/8,3/8,3/8,5/8,11/8,29/8}, {0,1/7,2/7,2/7,3/7,5/7,9/7,26/7}, {1/14,3/14,3/14,5/14,1/2,11/14,17/14,53/14}, {0,1/6,1/3,1/3,1/2,2/3,4/3,11/3}, {0,1/8,1/4,3/8,3/8,5/8,11/8,29/8}, {0,0,0,0,1/2,1/2,1,4}, {0,1/4,1/4,1/2,1/2,1/2,1,4}, {0,0,1/3,1/3,1/3,2/3,1,4}, {0,1/5,1/5,2/5,2/5,3/5,1,4}, {0,1/4,1/4,1/4,1/2,3/4,1,4}, {0,0,1/4,1/4,1/2,1/2,1,4}, {0,1/6,1/6,1/3,1/2,1/2,1,4}, {0,2/7,2/7,3/7,4/7,4/7,1,4}, {0,3/10,3/10,1/2,1/2,3/5,1,4}, {0,1/3,1/2,1/2,1/2,5/6,1,4}, {0,1/5,2/5,2/5,4/5,4/5,1,4}, {0,2/5,2/5,2/5,3/5,4/5,1,4}, {0,3/8,3/8,1/2,1/2,3/4,1,4}, {0,1/6,1/6,1/3,1/2,5/6,1,4}, {0,0,1/5,2/5,2/5,4/5,1,4}, {0,1/4,1/4,3/8,1/2,5/8,1,4}, {0,1/7,2/7,2/7,4/7,6/7,1,4}, {0,1/6,1/3,1/3,1/2,2/3,1,4}, {0,1/4,1/2,1/2,5/8,7/8,1,4}, {0,1/3,4/9,4/9,5/9,7/9,1,4}, {0,2/7,3/7,4/7,4/7,6/7,1,4}, {0,1/3,1/3,1/2,2/3,5/6,1,4}, {0,1/8,3/8,3/8,3/4,7/8,1,4}, {0,2/7,3/7,3/7,5/7,6/7,1,4}, {0,1/8,1/4,3/8,1/2,3/4,1,4}, {0,3/10,2/5,1/2,3/5,4/5,1,4}, {0,0,0,0,1,1,1,3}, {0,0,0,1/2,1/2,1/2,1,7/2}, {0,0,1/4,1/4,1/2,1/2,1,7/2}, {0,0,1/3,1/3,1/3,2/3,1,10/3}, {0,1/6,1/6,1/3,1/3,2/3,1,10/3}, {0,1/5,1/5,1/5,2/5,3/5,1,17/5}, {0,1/4,1/4,1/2,1/2,3/4,1,13/4}, {0,1/3,1/3,1/3,1/3,2/3,1,11/3}, {-1/6,1/6,1/6,1/6,5/6,5/6,5/6,19/6}, {0,1/5,1/5,2/5,3/5,4/5,1,16/5}, {1/12,1/12,1/4,5/12,7/12,3/4,11/12,13/4}, {0,0,1/6,1/2,1/2,2/3,1,7/2}, {0,0,1/5,2/5,2/5,3/5,1,17/5}, {0,0,1/5,2/5,3/5,3/5,1,18/5}, {0,1/7,1/7,3/7,4/7,5/7,1,25/7}, {0,1/9,2/9,2/9,4/9,5/9,1,31/9}, {0,1/7,2/7,2/7,3/7,4/7,1,25/7}, {0,0,1/4,1/4,1/2,3/4,1,13/4}, {0,1/8,1/4,1/4,3/8,5/8,1,27/8}, {0,1/7,1/7,2/7,3/7,5/7,1,23/7}, {0,1/7,1/7,2/7,3/7,4/7,1,24/7}, {0,2/11,2/11,3/11,4/11,7/11,1,37/11}, {0,1/7,3/7,3/7,5/7,6/7,1,27/7}, {0,1/7,2/7,3/7,3/7,5/7,1,23/7}, {1/18,1/6,5/18,1/2,1/2,13/18,17/18,59/18}, {0,1/5,1/5,2/5,2/5,3/5,1,18/5}, {0,1/6,1/3,1/3,1/2,2/3,1,11/3}, {0,1/4,3/8,3/8,1/2,3/4,1,15/4}, {0,2/7,2/7,3/7,3/7,5/7,1,26/7}, {0,1/5,1/5,2/5,3/5,3/5,1,17/5}, {0,1/6,1/3,1/3,1/2,2/3,1,10/3}, {0,2/7,2/7,3/7,4/7,5/7,1,23/7}, {0,1/8,1/4,3/8,1/2,3/4,1,13/4}, {1/20,3/20,1/4,9/20,11/20,3/4,19/20,13/4}, {0,1/11,2/11,5/11,6/11,8/11,1,39/11}, {0,1/10,1/5,2/5,3/5,7/10,1,18/5}, {0,1/8,1/4,3/8,1/2,5/8,1,29/8}, {0,1/10,1/5,3/10,2/5,3/5,1,17/5}, {0,1/5,3/10,2/5,1/2,7/10,1,37/10}, {0,1/9,2/9,4/9,5/9,2/3,1,31/9}, {0,1/8,1/4,3/8,1/2,5/8,1,27/8}, {0,1/5,3/10,2/5,1/2,7/10,1,33/10}, {0,1/8,1/4,3/8,5/8,3/4,7/8,13/4}, {1/24,5/24,7/24,11/24,13/24,17/24,23/24,79/24}, {0,0,1/2,1/2,1/2,1/2,1,3}, {0,0,1/3,1/3,2/3,2/3,1,3}, {0,0,0,0,1/2,1/2,3/2,7/2}, {0,0,1/4,1/4,1/2,1/2,3/2,7/2}, {1/6,1/6,1/6,1/6,1/2,1/2,3/2,7/2}, {0,1/6,1/3,1/3,1/2,1/2,5/6,3}, {0,1/4,1/4,1/4,1/2,1/2,3/4,3}, {0,1/6,1/6,1/3,1/2,1/2,2/3,3}, {0,0,0,1/2,1/2,1/2,1/2,3}, {0,2/11,3/11,4/11,5/11,6/11,9/11,3}, {0,2/9,2/9,1/3,4/9,5/9,7/9,3}, {0,1/9,2/9,1/3,4/9,5/9,2/3,3}, {0,1/7,2/7,3/7,3/7,4/7,6/7,3}, {0,1/7,2/7,2/7,3/7,4/7,5/7,3}, {0,1/6,1/4,1/3,5/12,7/12,3/4,3}, {0,1/5,1/5,2/5,2/5,3/5,4/5,3}, {0,0,1/5,2/5,2/5,3/5,3/5,3}, {0,1/8,1/4,3/8,1/2,5/8,7/8,3}, {0,1/8,1/4,3/8,3/8,5/8,3/4,3}, {0,1/6,1/6,1/3,1/2,2/3,5/6,3}, {0,1/9,2/9,1/3,4/9,2/3,7/9,3}, {0,0,1/3,1/3,1/3,2/3,2/3,3}, {0,0,1/4,1/4,1/2,3/4,3/4,3}, {0,0,0,0,1/2,1/2,1,3}, {0,0,1/4,1/4,1/2,1/2,1,3}, {0,0,1/4,1/4,1/2,1/2,3/4,11/4}, {1/6,1/6,1/6,1/6,1/2,1/2,5/6,17/6}, {1/2,1/2,1/2,1/2,1/2,1/2,1/2,5/2}, {1/14,1/14,3/14,3/14,1/2,1/2,11/14,39/14}, {1/10,1/10,3/10,3/10,1/2,1/2,9/10,29/10}, {1/10,1/10,3/10,3/10,1/2,1/2,7/10,27/10}, {-1/8,1/8,1/8,3/8,3/8,5/8,13/8,27/8}, {0,0,1/3,1/3,1/3,2/3,5/3,10/3}, {1/4,1/4,1/4,1/4,1/4,3/4,7/4,13/4}, {-1/12,1/12,1/4,5/12,5/12,7/12,19/12,41/12}, {-1/12,1/12,1/12,1/4,5/12,7/12,19/12,41/12}, {-1/14,1/14,3/14,5/14,5/14,9/14,23/14,47/14}, {0,0,1/5,1/5,2/5,3/5,8/5,17/5}, {0,1/6,1/6,1/3,1/3,2/3,5/3,10/3}, {1/8,1/8,1/8,1/8,3/8,5/8,13/8,27/8}, {1/10,1/10,3/10,3/10,3/10,7/10,17/10,33/10}, {0,1/5,1/5,2/5,2/5,3/5,8/5,17/5}, {1/8,1/8,3/8,3/8,3/8,5/8,13/8,27/8}, {-1/18,1/18,1/6,5/18,7/18,11/18,29/18,61/18}, {-1/16,1/16,3/16,5/16,7/16,9/16,25/16,55/16}, {0,1/8,1/8,1/4,3/8,5/8,13/8,27/8}, {0,1/7,1/7,2/7,3/7,4/7,11/7,24/7}, {1/14,1/14,3/14,3/14,5/14,9/14,23/14,47/14}, {0,1/8,1/4,3/8,3/8,5/8,13/8,27/8}, {1/12,1/12,1/4,1/4,5/12,7/12,19/12,41/12}, {0,1/10,1/5,3/10,2/5,3/5,8/5,17/5}, {-1/8,1/8,1/8,3/8,3/8,5/8,7/8,21/8}, {-1/12,1/12,1/12,1/4,5/12,7/12,3/4,31/12}, {0,0,1/5,1/5,2/5,3/5,4/5,13/5}, {0,0,1/3,1/3,1/3,2/3,1,8/3}, {0,0,1/2,1/2,1/2,1/2,1/2,5/2}, {0,1/6,1/6,1/3,1/3,2/3,1,8/3}, {0,1/5,1/5,2/5,2/5,3/5,1,14/5}, {1/8,1/8,1/8,1/8,3/8,5/8,7/8,21/8}, {0,1/5,1/5,2/5,2/5,3/5,4/5,13/5}, {-1/22,1/22,3/22,5/22,9/22,13/22,17/22,57/22}, {0,1/10,1/10,1/5,2/5,3/5,4/5,13/5}, {0,0,1/5,1/5,2/5,3/5,1,14/5}, {0,1/8,1/8,1/4,3/8,5/8,1,11/4}, {0,1/7,1/7,2/7,3/7,4/7,1,20/7}, {-1/18,1/18,1/6,5/18,7/18,11/18,5/6,47/18}, {1/18,1/18,1/6,1/6,7/18,11/18,5/6,47/18}, {-1/16,1/16,3/16,5/16,7/16,9/16,13/16,43/16}, {-1/14,1/14,3/14,5/14,5/14,9/14,13/14,37/14}, {-1/16,1/16,3/16,5/16,7/16,9/16,11/16,41/16}, {0,1/7,2/7,3/7,3/7,4/7,1,20/7}, {0,1/8,1/4,3/8,3/8,5/8,1,11/4}, {0,1/8,1/8,1/4,3/8,5/8,7/8,21/8}, {1/14,1/14,3/14,3/14,5/14,9/14,13/14,37/14}, {1/20,3/20,3/20,1/4,7/20,13/20,19/20,53/20}, {0,1/7,1/7,2/7,3/7,4/7,6/7,19/7}, {1/12,1/12,1/4,1/4,5/12,7/12,11/12,11/4}, {1/16,3/16,3/16,5/16,7/16,9/16,15/16,45/16}, {0,1/7,1/7,2/7,3/7,4/7,5/7,18/7}, {1/12,1/12,1/4,1/4,5/12,7/12,3/4,31/12}, {0,1/10,1/5,3/10,2/5,3/5,1,14/5}, {0,1/9,2/9,1/3,4/9,5/9,1,26/9}, {0,1/13,2/13,3/13,5/13,8/13,11/13,34/13}, {0,1/11,2/11,3/11,4/11,7/11,10/11,29/11}, {0,1/11,2/11,3/11,5/11,6/11,9/11,30/11}, {0,1/10,1/5,3/10,2/5,3/5,9/10,27/10}, {1/22,3/22,5/22,7/22,9/22,13/22,21/22,61/22}, {1/20,3/20,1/4,7/20,9/20,11/20,19/20,57/20}, {0,1/9,2/9,1/3,4/9,5/9,7/9,8/3}, {0,1/12,1/6,1/4,5/12,7/12,3/4,31/12}, {0,1/10,1/5,3/10,2/5,3/5,4/5,13/5}, {0,0,0,0,0,0,1,3}, {0,0,0,0,1/3,1/3,1,3}, {0,0,1/3,1/3,1/3,1/3,1,3}, {0,0,1/5,1/5,2/5,2/5,1,3}, {0,0,0,0,1/2,1/2,1/2,5/2}, {0,0,1/4,1/4,1/2,1/2,1/2,5/2}, {1/6,1/6,1/6,1/6,1/2,1/2,1/2,5/2}, {-1/8,1/8,1/8,3/8,3/8,5/8,5/8,19/8}, {0,0,1/3,1/3,1/3,2/3,2/3,7/3}, {1/4,1/4,1/4,1/4,1/4,3/4,3/4,9/4}, {-1/12,1/12,1/4,5/12,5/12,7/12,7/12,29/12}, {-1/12,1/12,1/12,1/4,5/12,7/12,7/12,29/12}, {0,0,1/5,1/5,2/5,3/5,3/5,12/5}, {-1/14,1/14,3/14,5/14,5/14,9/14,9/14,33/14}, {0,1/6,1/6,1/3,1/3,2/3,2/3,7/3}, {1/8,1/8,1/8,1/8,3/8,5/8,5/8,19/8}, {1/10,1/10,3/10,3/10,3/10,7/10,7/10,23/10}, {0,1/5,1/5,2/5,2/5,3/5,3/5,12/5}, {1/8,1/8,3/8,3/8,3/8,5/8,5/8,19/8}, {-1/18,1/18,1/6,5/18,7/18,11/18,11/18,43/18}, {-1/16,1/16,3/16,5/16,7/16,9/16,9/16,39/16}, {0,1/8,1/8,1/4,3/8,5/8,5/8,19/8}, {0,1/7,1/7,2/7,3/7,4/7,4/7,17/7}, {1/14,1/14,3/14,3/14,5/14,9/14,9/14,33/14}, {0,1/8,1/4,3/8,3/8,5/8,5/8,19/8}, {1/12,1/12,1/4,1/4,5/12,7/12,7/12,29/12}, {0,1/10,1/5,3/10,2/5,3/5,3/5,12/5}, {-1/4,1/4,1/4,1/4,1/4,1/4,3/4,9/4}, {-1/8,1/8,1/8,1/8,3/8,3/8,5/8,19/8}, {-1/10,1/10,1/10,3/10,1/2,1/2,7/10,23/10}, {-1/12,1/12,1/12,1/4,1/4,5/12,7/12,29/12}, {0,0,0,1/3,1/3,1/3,2/3,7/3}, {0,0,1/6,1/6,1/3,1/3,2/3,7/3}, {0,0,1/5,1/5,1/5,2/5,3/5,12/5}, {0,0,1/4,1/4,1/2,1/2,3/4,9/4}, {1/8,1/8,1/8,1/8,1/8,3/8,5/8,19/8}, {-1/10,1/10,1/10,3/10,3/10,3/10,7/10,23/10}, {-1/16,1/16,3/16,3/16,5/16,5/16,11/16,37/16}, {-1/12,1/12,1/4,1/4,5/12,5/12,3/4,9/4}, {0,1/6,1/6,1/6,1/6,1/3,2/3,7/3}, {0,1/4,1/4,1/4,1/4,1/2,3/4,9/4}, {-1/14,1/14,1/14,3/14,5/14,5/14,9/14,33/14}, {-1/14,1/14,3/14,3/14,5/14,1/2,9/14,33/14}, {0,1/6,1/6,1/6,1/3,1/2,2/3,7/3}, {-1/8,1/8,1/8,1/4,3/8,1/2,5/8,19/8}, {-1/16,1/16,1/16,5/16,7/16,7/16,11/16,37/16}, {0,1/7,1/7,2/7,3/7,4/7,5/7,16/7}, {-1/10,1/10,1/10,1/5,3/10,2/5,3/5,12/5}, {-1/22,1/22,3/22,5/22,5/22,9/22,13/22,53/22}, {-1/16,1/16,3/16,5/16,5/16,7/16,9/16,39/16}, {0,1/10,1/10,1/5,1/5,2/5,3/5,12/5}, {-1/14,1/14,1/14,3/14,1/2,1/2,9/14,33/14}, {-1/16,1/16,1/16,3/16,5/16,7/16,9/16,39/16}, {0,0,1/6,1/6,1/2,1/2,2/3,7/3}, {1/12,1/12,1/12,1/12,1/4,5/12,7/12,29/12}, {0,0,1/8,1/4,1/4,3/8,5/8,19/8}, {0,0,1/7,2/7,3/7,3/7,5/7,16/7}, {0,0,1/6,1/3,1/3,1/2,2/3,7/3}, {1/14,1/14,1/14,3/14,3/14,5/14,9/14,33/14}, {-1/20,1/20,3/20,3/20,7/20,7/20,13/20,47/20}, {-1/18,1/18,1/6,1/6,5/18,7/18,11/18,43/18}, {0,0,1/7,1/7,2/7,3/7,4/7,17/7}, {1/18,1/18,1/6,1/6,1/6,7/18,11/18,43/18}, {-1/18,1/18,1/6,5/18,1/2,1/2,13/18,41/18}, {-1/16,1/16,3/16,5/16,7/16,9/16,11/16,37/16}, {-1/12,1/12,1/4,1/4,5/12,5/12,7/12,29/12}, {0,1/8,1/8,1/8,1/4,3/8,5/8,19/8}, {1/20,1/20,3/20,3/20,1/4,7/20,13/20,47/20}, {1/10,1/10,1/10,3/10,3/10,1/2,7/10,23/10}, {1/16,1/16,3/16,3/16,5/16,7/16,11/16,37/16}, {1/12,1/12,1/4,1/4,5/12,7/12,3/4,9/4}, {0,1/5,1/5,1/5,2/5,2/5,3/5,12/5}, {0,1/6,1/6,1/3,1/2,1/2,2/3,7/3}, {0,1/7,1/7,2/7,2/7,3/7,4/7,17/7}, {1/8,1/8,1/8,3/8,3/8,3/8,5/8,19/8}, {1/12,1/12,1/4,1/4,1/4,5/12,7/12,29/12}, {0,1/7,1/7,2/7,2/7,3/7,5/7,16/7}, {-1/18,1/18,1/6,5/18,7/18,7/18,13/18,41/18}, {0,1/9,1/9,2/9,2/9,1/3,2/3,7/3}, {0,1/12,1/6,1/6,1/4,1/3,2/3,7/3}, {0,1/10,1/5,1/5,3/10,2/5,7/10,23/10}, {0,1/8,1/4,1/4,3/8,1/2,3/4,9/4}, {0,1/11,1/11,2/11,3/11,4/11,7/11,26/11}, {0,1/9,2/9,2/9,1/3,5/9,2/3,7/3}, {0,1/9,1/9,2/9,1/3,4/9,2/3,7/3}, {0,1/12,1/6,1/6,1/3,5/12,2/3,7/3}, {-1/20,3/20,3/20,1/4,7/20,11/20,13/20,47/20}, {-1/11,1/11,2/11,3/11,4/11,6/11,7/11,26/11}, {-1/24,1/24,1/8,7/24,11/24,11/24,17/24,55/24}, {0,1/11,2/11,3/11,5/11,6/11,8/11,25/11}, {-1/22,3/22,3/22,5/22,7/22,9/22,13/22,53/22}, {-1/12,1/12,1/6,1/4,1/3,5/12,7/12,29/12}, {-1/22,1/22,3/22,5/22,1/2,1/2,15/22,51/22}, {-1/20,1/20,3/20,1/4,9/20,11/20,13/20,47/20}, {0,1/9,1/9,2/9,4/9,5/9,2/3,7/3}, {0,1/12,1/12,1/6,1/4,5/12,7/12,29/12}, {-1/26,1/26,3/26,5/26,7/26,11/26,15/26,63/26}, {1/22,1/22,3/22,3/22,5/22,9/22,13/22,53/22}, {0,1/8,1/8,1/4,1/2,1/2,5/8,19/8}, {0,1/9,1/9,2/9,1/3,4/9,5/9,22/9}, {-1/20,1/20,3/20,1/4,7/20,9/20,13/20,47/20}, {1/18,1/18,1/6,5/18,7/18,1/2,13/18,41/18}, {0,1/14,1/7,1/7,2/7,5/14,9/14,33/14}, {-1/15,1/15,2/15,1/5,4/15,2/5,3/5,12/5}, {0,1/10,1/5,1/5,3/10,2/5,3/5,12/5}, {0,1/12,1/6,1/4,1/4,5/12,7/12,29/12}, {-1/24,1/24,1/8,5/24,7/24,3/8,5/8,19/8}, {1/24,1/24,1/8,5/24,5/24,3/8,5/8,19/8}, {-1/22,1/22,3/22,7/22,9/22,1/2,15/22,51/22}, {-1/10,1/10,1/5,3/10,2/5,1/2,3/5,12/5}, {-1/20,1/20,3/20,1/4,7/20,9/20,11/20,49/20}, {-1/28,3/28,3/28,5/28,1/4,11/28,17/28,67/28}, {0,1/13,2/13,2/13,3/13,5/13,8/13,31/13}, {0,1/10,1/10,3/10,2/5,1/2,7/10,23/10}, {0,1/10,1/5,3/10,2/5,3/5,7/10,23/10}, {1/16,1/16,3/16,3/16,7/16,9/16,11/16,37/16}, {1/16,1/16,3/16,5/16,5/16,9/16,11/16,37/16}, {0,1/8,1/8,1/4,3/8,3/8,5/8,19/8}, {-1/18,1/6,1/6,5/18,7/18,1/2,11/18,43/18}, {0,1/9,2/9,1/3,4/9,5/9,2/3,7/3}, {1/16,1/16,3/16,3/16,5/16,7/16,9/16,39/16}, {0,1/9,1/9,1/3,4/9,4/9,2/3,7/3}, {1/18,1/18,1/6,5/18,5/18,7/18,11/18,43/18}, {0,1/8,1/4,1/4,3/8,1/2,5/8,19/8}, {1/14,1/14,3/14,5/14,5/14,1/2,9/14,33/14}, {0,1/11,2/11,3/11,4/11,5/11,8/11,25/11}, {0,1/12,1/6,1/4,5/12,7/12,2/3,7/3}, {0,1/14,1/7,3/14,2/7,3/7,4/7,17/7}, {0,1/11,2/11,3/11,5/11,6/11,7/11,26/11}, {0,1/13,2/13,3/13,6/13,7/13,9/13,30/13}, {0,1/11,2/11,3/11,4/11,5/11,7/11,26/11}, {0,1/12,1/6,1/4,1/3,1/2,2/3,7/3}, {-1/32,3/32,5/32,7/32,9/32,13/32,19/32,77/32}, {0,1/13,2/13,3/13,4/13,5/13,8/13,31/13}, {0,1/16,1/8,3/16,1/4,3/8,5/8,19/8}, {0,1/14,1/7,2/7,3/7,1/2,5/7,16/7}, {0,1/13,2/13,4/13,5/13,7/13,9/13,30/13}, {-1/24,1/8,5/24,7/24,3/8,13/24,5/8,19/8}, {0,1/12,1/6,1/3,5/12,1/2,2/3,7/3}, {-1/8,1/8,1/8,3/8,3/8,3/8,5/8,17/8}, {-1/12,1/12,1/12,1/4,5/12,5/12,7/12,9/4}, {-1/12,1/12,1/4,1/4,5/12,5/12,7/12,25/12}, {0,0,0,1/2,1/2,1/2,1/2,2}, {0,0,1/5,1/5,2/5,2/5,3/5,11/5}, {0,0,1/4,1/4,1/4,1/2,1/2,9/4}, {1/6,1/6,1/6,1/6,1/6,1/2,1/2,13/6}, {0,1/6,1/6,1/3,1/3,1/2,2/3,13/6}, {-1/18,1/18,1/6,5/18,7/18,1/2,11/18,41/18}, {0,1/9,1/9,2/9,1/3,4/9,5/9,20/9}, {0,1/8,1/8,1/4,3/8,1/2,5/8,9/4}, {-1/10,1/10,1/5,3/10,2/5,2/5,3/5,21/10}, {-1/16,1/16,3/16,5/16,7/16,7/16,9/16,33/16}, {-1/18,1/18,1/6,5/18,7/18,7/18,11/18,13/6}, {-1/22,1/22,3/22,5/22,9/22,9/22,13/22,49/22}, {-1/20,1/20,3/20,1/4,7/20,9/20,11/20,9/4}, {0,1/7,1/7,2/7,2/7,3/7,4/7,15/7}, {0,1/9,2/9,2/9,1/3,4/9,5/9,19/9}, {1/10,1/10,1/10,3/10,3/10,1/2,1/2,21/10}, {1/16,1/16,3/16,3/16,5/16,7/16,9/16,35/16}, {1/14,1/14,3/14,3/14,3/14,1/2,1/2,31/14}, {1/14,1/14,3/14,3/14,5/14,1/2,9/14,31/14}, {0,1/7,1/7,2/7,3/7,3/7,4/7,16/7}, {1/10,1/10,3/10,3/10,3/10,1/2,1/2,23/10}, {0,1/13,2/13,3/13,5/13,6/13,8/13,29/13}, {0,1/11,2/11,3/11,4/11,6/11,7/11,25/11}, {0,1/11,2/11,3/11,4/11,5/11,7/11,24/11}, {0,1/14,1/7,3/14,5/14,3/7,4/7,31/14}, {0,1/13,2/13,3/13,4/13,6/13,7/13,29/13}, {-1/26,3/26,5/26,7/26,9/26,11/26,15/26,55/26}, {0,1/11,2/11,3/11,4/11,5/11,6/11,23/11}, {0,1/12,1/6,1/4,1/3,5/12,7/12,13/6}, {0,1/11,2/11,3/11,4/11,5/11,6/11,25/11}, {0,1/10,1/5,3/10,2/5,1/2,3/5,23/10}, {0,0,0,0,0,1,2,3}, {-1/10,1/10,1/10,3/10,3/10,7/10,17/10,33/10}, {0,0,0,0,1/3,2/3,5/3,10/3}, {0,0,1/4,1/4,1/4,3/4,7/4,13/4}, {1/6,1/6,1/6,1/6,1/6,5/6,11/6,19/6}, {0,0,2/5,2/5,2/5,3/5,8/5,17/5}, {0,0,1/6,1/6,1/3,2/3,5/3,10/3}, {1/10,1/10,1/10,1/10,3/10,7/10,17/10,33/10}, {-1/14,1/14,1/14,3/14,5/14,9/14,23/14,47/14}, {-1/18,1/18,5/18,7/18,7/18,11/18,29/18,61/18}, {0,0,2/7,2/7,3/7,4/7,11/7,24/7}, {-1/22,1/22,5/22,7/22,9/22,13/22,35/22,75/22}, {0,0,0,0,0,1,1,2}, {-1/10,1/10,1/10,3/10,3/10,7/10,7/10,23/10}, {0,0,0,0,1/3,2/3,2/3,7/3}, {0,0,1/4,1/4,1/4,3/4,3/4,9/4}, {1/6,1/6,1/6,1/6,1/6,5/6,5/6,13/6}, {0,0,2/5,2/5,2/5,3/5,3/5,12/5}, {1/10,1/10,1/10,1/10,3/10,7/10,7/10,23/10}, {-1/14,1/14,1/14,3/14,5/14,9/14,9/14,33/14}, {0,0,1/6,1/6,1/3,2/3,2/3,7/3}, {0,0,2/7,2/7,3/7,4/7,4/7,17/7}, {-1/18,1/18,5/18,7/18,7/18,11/18,11/18,43/18}, {-1/22,1/22,5/22,7/22,9/22,13/22,13/22,53/22}, {0,0,0,0,1/2,1/2,1,2}, {0,0,1/4,1/4,1/4,1/4,3/4,9/4}, {1/12,1/12,1/12,1/4,1/4,1/4,3/4,9/4}, {1/10,1/10,1/10,1/10,3/10,3/10,7/10,23/10}, {1/8,1/8,1/8,3/8,3/8,3/8,7/8,17/8}, {1/6,1/6,1/6,1/6,1/2,1/2,5/6,13/6}, {0,1/7,1/7,1/7,2/7,2/7,5/7,16/7}, {-1/10,1/10,1/10,1/10,3/10,1/2,7/10,23/10}, {-1/14,1/14,1/14,5/14,5/14,1/2,9/14,33/14}, {-1/9,1/9,1/9,1/3,4/9,5/9,2/3,7/3}, {-1/12,1/12,1/12,1/4,5/12,7/12,3/4,9/4}, {-1/18,1/18,1/18,5/18,5/18,7/18,11/18,43/18}, {-1/6,1/6,1/6,1/6,1/6,1/2,5/6,13/6}, {0,0,0,1/4,1/4,1/2,3/4,9/4}, {0,0,1/7,1/7,2/7,3/7,5/7,16/7}, {0,0,1/5,1/5,1/5,2/5,4/5,11/5}, {0,0,1/5,1/5,2/5,3/5,4/5,11/5}, {1/14,1/14,1/14,3/14,3/14,5/14,11/14,31/14}, {1/12,1/12,1/12,1/12,1/4,5/12,3/4,9/4}, {1/10,1/10,1/10,3/10,3/10,1/2,9/10,21/10}, {1/8,1/8,1/8,1/8,3/8,5/8,7/8,17/8}, {-1/12,1/12,1/12,1/12,5/12,5/12,7/12,29/12}, {0,0,0,1/5,2/5,2/5,3/5,12/5}, {0,0,1/8,1/8,3/8,3/8,5/8,19/8}, {1/10,1/10,1/10,1/10,1/2,1/2,7/10,23/10}, {-1/8,1/8,1/8,1/8,3/8,3/8,7/8,17/8}, {1/16,1/16,1/16,3/16,5/16,5/16,13/16,35/16}, {1/12,1/12,1/12,1/4,5/12,5/12,11/12,25/12}, {0,0,1/7,2/7,2/7,2/7,5/7,16/7}, {0,0,1/5,1/5,3/10,3/10,7/10,23/10}, {0,0,1/6,1/6,1/3,1/3,5/6,13/6}, {1/18,1/18,1/6,1/6,5/18,5/18,13/18,41/18}, {1/16,1/16,3/16,5/16,5/16,5/16,13/16,35/16}, {1/14,1/14,3/14,3/14,5/14,5/14,11/14,31/14}, {1/12,1/12,1/4,1/4,1/4,5/12,3/4,9/4}, {-1/14,1/14,3/14,5/14,1/2,1/2,9/14,33/14}, {0,0,1/5,2/5,2/5,2/5,3/5,12/5}, {1/11,1/11,1/11,2/11,3/11,3/11,8/11,25/11}, {1/10,1/10,1/10,1/5,1/5,3/10,7/10,23/10}, {0,1/9,1/9,1/9,1/3,1/3,2/3,7/3}, {1/16,1/16,1/16,3/16,5/16,5/16,11/16,37/16}, {1/22,1/22,3/22,3/22,7/22,7/22,15/22,51/22}, {1/16,1/16,3/16,3/16,3/16,5/16,11/16,37/16}, {1/9,1/9,1/9,1/9,2/9,1/3,2/3,7/3}, {0,1/6,1/6,1/3,1/3,1/3,5/6,13/6}, {1/6,1/6,1/6,1/3,1/3,1/2,5/6,13/6}, {0,1/5,1/5,1/5,2/5,2/5,4/5,11/5}, {0,1/8,1/8,1/4,1/2,1/2,3/4,9/4}, {1/12,1/12,1/12,1/4,5/12,5/12,3/4,9/4}, {1/14,1/14,3/14,3/14,1/2,1/2,11/14,31/14}, {1/7,1/7,1/7,2/7,3/7,3/7,6/7,15/7}, {1/5,1/5,1/5,1/5,2/5,3/5,4/5,11/5}, {-1/18,1/18,1/6,1/6,5/18,7/18,13/18,41/18}, {0,1/9,2/9,2/9,4/9,4/9,7/9,20/9}, {0,1/8,1/8,1/8,1/4,3/8,3/4,9/4}, {0,1/10,1/10,1/5,3/10,3/10,7/10,23/10}, {1/22,3/22,3/22,3/22,5/22,7/22,15/22,51/22}, {0,1/8,1/8,1/4,3/8,3/8,3/4,9/4}, {1/14,3/14,3/14,3/14,5/14,1/2,11/14,31/14}, {-1/16,1/16,1/16,3/16,5/16,7/16,11/16,37/16}, {-1/22,1/22,3/22,3/22,7/22,9/22,15/22,51/22}, {-1/16,1/16,3/16,3/16,5/16,9/16,11/16,37/16}, {0,1/7,1/7,1/7,2/7,4/7,5/7,16/7}, {-1/9,1/9,1/9,2/9,1/3,5/9,2/3,7/3}, {-1/12,1/12,1/12,1/3,5/12,1/2,2/3,7/3}, {-1/18,1/18,1/18,5/18,7/18,1/2,11/18,43/18}, {-1/20,1/20,3/20,7/20,7/20,11/20,13/20,47/20}, {0,1/9,1/9,1/3,1/3,5/9,2/3,7/3}, {-1/22,3/22,3/22,7/22,9/22,13/22,15/22,51/22}, {-1/20,3/20,3/20,7/20,9/20,11/20,13/20,47/20}, {0,1/8,1/8,1/4,3/8,5/8,3/4,9/4}, {-1/13,1/13,1/13,3/13,4/13,5/13,8/13,31/13}, {-1/28,1/28,3/28,1/4,1/4,11/28,17/28,67/28}, {-1/22,1/22,3/22,7/22,7/22,9/22,13/22,53/22}, {0,1/13,1/13,3/13,3/13,5/13,8/13,31/13}, {-1/14,1/14,3/14,3/14,5/14,1/2,11/14,31/14}, {0,1/6,1/6,1/6,1/3,1/2,5/6,13/6}, {0,1/5,1/5,1/5,1/5,3/5,4/5,11/5}, {-1/18,1/18,1/18,5/18,7/18,1/2,13/18,41/18}, {0,0,1/7,1/7,3/7,4/7,5/7,16/7}, {1/12,1/12,1/12,1/12,5/12,7/12,3/4,9/4}, {0,0,1/7,2/7,2/7,4/7,5/7,16/7}, {1/12,1/12,1/12,1/4,1/4,7/12,3/4,9/4}, {0,0,1/8,1/4,1/4,3/8,3/4,9/4}, {1/16,1/16,3/16,3/16,5/16,7/16,13/16,35/16}, {-1/20,1/20,3/20,1/4,9/20,11/20,3/4,9/4}, {0,0,1/8,1/4,3/8,1/2,3/4,9/4}, {-1/18,1/18,1/6,5/18,7/18,11/18,13/18,41/18}, {1/18,1/18,1/6,5/18,5/18,7/18,5/6,13/6}, {1/18,1/18,1/6,1/6,5/18,1/2,13/18,41/18}, {-1/10,1/10,1/10,1/5,2/5,1/2,3/5,12/5}, {-1/18,1/18,1/18,1/6,7/18,7/18,11/18,43/18}, {-1/22,1/22,3/22,3/22,7/22,9/22,13/22,53/22}, {0,1/8,1/8,1/8,3/8,1/2,5/8,19/8}, {-1/11,1/11,1/11,3/11,5/11,6/11,7/11,26/11}, {-1/16,1/16,1/16,3/16,7/16,9/16,11/16,37/16}, {-1/18,1/18,1/6,5/18,1/2,1/2,11/18,43/18}, {-1/12,1/12,1/12,1/6,1/3,5/12,7/12,29/12}, {-1/22,1/22,1/22,5/22,7/22,9/22,13/22,53/22}, {1/18,1/18,1/18,1/6,5/18,7/18,11/18,43/18}, {1/14,1/14,1/14,3/14,5/14,1/2,9/14,33/14}, {1/12,1/12,1/12,1/4,5/12,5/12,7/12,29/12}, {1/24,1/24,1/8,1/8,7/24,3/8,5/8,19/8}, {0,0,1/10,1/5,3/10,2/5,3/5,12/5}, {-1/18,1/18,1/6,1/6,7/18,1/2,11/18,43/18}, {-1/16,1/16,3/16,3/16,7/16,7/16,9/16,39/16}, {0,1/10,1/10,1/5,1/2,1/2,7/10,23/10}, {1/18,1/18,1/6,1/6,1/2,1/2,13/18,41/18}, {0,1/8,1/8,1/4,3/8,3/8,7/8,17/8}, {1/20,1/20,3/20,1/4,7/20,7/20,17/20,43/20}, {-1/12,1/12,1/12,1/4,1/4,5/12,3/4,9/4}, {-1/18,1/18,1/6,7/18,7/18,1/2,11/18,43/18}, {0,0,1/4,3/8,3/8,1/2,5/8,19/8}, {1/12,1/12,1/12,1/6,1/4,1/3,2/3,7/3}, {0,1/11,1/11,3/11,5/11,5/11,8/11,25/11}, {1/14,1/14,1/14,3/14,5/14,1/2,11/14,31/14}, {1/8,1/8,1/8,1/4,3/8,1/2,3/4,9/4}, {1/18,1/18,1/6,5/18,5/18,7/18,13/18,41/18}, {1/24,1/24,5/24,5/24,7/24,3/8,17/24,55/24}, {1/20,1/20,3/20,3/20,1/4,7/20,3/4,9/4}, {1/20,1/20,3/20,1/4,7/20,7/20,3/4,9/4}, {1/11,1/11,2/11,3/11,4/11,4/11,9/11,24/11}, {1/9,1/9,2/9,2/9,1/3,4/9,7/9,20/9}, {-1/12,1/12,1/6,1/3,5/12,7/12,2/3,7/3}, {0,0,1/8,1/4,3/8,1/2,5/8,19/8}, {-1/11,1/11,2/11,4/11,5/11,6/11,7/11,26/11}, {-1/20,1/20,3/20,7/20,9/20,9/20,13/20,47/20}, {-1/20,1/20,1/4,7/20,9/20,11/20,13/20,47/20}, {-1/18,1/18,1/6,5/18,7/18,7/18,11/18,43/18}, {0,0,1/7,2/7,3/7,3/7,4/7,17/7}, {-1/18,1/18,5/18,5/18,7/18,1/2,11/18,43/18}, {1/12,1/12,1/12,1/6,1/4,1/3,3/4,9/4}, {0,1/13,2/13,2/13,4/13,4/13,9/13,30/13}, {0,1/10,1/10,1/10,3/10,2/5,7/10,23/10}, {1/18,1/18,1/18,1/6,5/18,7/18,13/18,41/18}, {1/24,1/24,1/8,1/8,7/24,3/8,17/24,55/24}, {1/24,1/24,1/8,5/24,7/24,7/24,17/24,55/24}, {0,1/10,1/10,1/10,3/10,2/5,3/5,12/5}, {1/26,3/26,3/26,3/26,7/26,9/26,17/26,61/26}, {1/28,1/28,5/28,5/28,1/4,9/28,19/28,65/28}, {1/15,1/15,2/15,2/15,4/15,1/3,2/3,7/3}, {1/22,1/22,3/22,5/22,5/22,7/22,15/22,51/22}, {1/13,1/13,2/13,2/13,3/13,4/13,9/13,30/13}, {0,1/7,1/7,2/7,2/7,3/7,6/7,15/7}, {1/10,1/10,1/5,3/10,3/10,2/5,4/5,11/5}, {1/8,1/8,1/8,1/4,3/8,1/2,7/8,17/8}, {1/16,3/16,3/16,5/16,5/16,7/16,13/16,35/16}, {0,1/9,1/9,2/9,4/9,5/9,7/9,20/9}, {1/16,1/16,3/16,3/16,7/16,9/16,13/16,35/16}, {1/20,1/20,3/20,1/4,9/20,9/20,3/4,9/4}, {1/18,1/6,1/6,5/18,7/18,7/18,5/6,13/6}, {1/20,3/20,3/20,1/4,9/20,11/20,3/4,9/4}, {1/14,1/14,3/14,3/14,5/14,9/14,11/14,31/14}, {1/20,1/20,3/20,3/20,7/20,9/20,13/20,47/20}, {1/7,1/7,1/7,1/7,3/7,4/7,5/7,16/7}, {1/9,1/9,2/9,2/9,4/9,5/9,7/9,20/9}, {0,1/7,1/7,1/7,3/7,3/7,4/7,17/7}, {0,1/8,1/8,3/8,3/8,1/2,5/8,19/8}, {0,1/10,1/10,3/10,3/10,2/5,3/5,12/5}, {-1/20,1/20,3/20,1/4,7/20,9/20,3/4,9/4}, {1/20,3/20,3/20,1/4,7/20,9/20,17/20,43/20}, {0,1/11,1/11,2/11,3/11,4/11,8/11,25/11}, {1/28,3/28,3/28,5/28,1/4,9/28,19/28,65/28}, {0,1/9,1/9,2/9,1/3,4/9,7/9,20/9}, {0,1/8,1/8,1/4,1/4,1/2,3/4,9/4}, {0,1/11,2/11,2/11,3/11,5/11,8/11,25/11}, {0,1/10,1/5,1/5,2/5,1/2,4/5,11/5}, {1/34,3/34,5/34,5/34,9/34,11/34,23/34,79/34}, {0,1/12,1/6,1/4,5/12,5/12,3/4,9/4}, {1/22,3/22,5/22,5/22,9/22,1/2,17/22,49/22}, {1/20,3/20,3/20,1/4,7/20,9/20,3/4,9/4}, {0,1/10,1/10,1/5,3/10,1/2,7/10,23/10}, {0,1/13,2/13,2/13,4/13,6/13,9/13,30/13}, {-1/15,1/15,2/15,1/3,2/5,8/15,2/3,7/3}, {-1/28,3/28,3/28,9/28,11/28,15/28,19/28,65/28}, {-1/24,1/24,1/8,7/24,3/8,13/24,5/8,19/8}, {-1/28,3/28,3/28,1/4,9/28,11/28,17/28,67/28}, {-1/15,1/15,2/15,4/15,1/3,2/5,3/5,12/5}, {-1/26,1/26,3/26,7/26,11/26,1/2,19/26,59/26}, {1/22,1/22,3/22,5/22,7/22,9/22,17/22,49/22}, {1/20,1/20,3/20,1/4,7/20,11/20,3/4,9/4}, {0,1/12,1/12,1/4,5/12,1/2,3/4,9/4}, {1/12,1/12,1/6,1/4,1/3,5/12,5/6,13/6}, {0,1/9,2/9,2/9,1/3,5/9,7/9,20/9}, {0,1/12,1/6,1/4,5/12,7/12,3/4,9/4}, {-1/12,1/12,1/6,1/4,5/12,1/2,7/12,29/12}, {0,1/10,1/10,1/5,2/5,2/5,3/5,12/5}, {-1/17,1/17,2/17,3/17,5/17,7/17,10/17,41/17}, {-1/24,1/8,1/8,5/24,3/8,13/24,5/8,19/8}, {-1/13,1/13,2/13,3/13,5/13,7/13,8/13,31/13}, {-1/14,1/14,1/7,2/7,3/7,4/7,9/14,33/14}, {-1/13,1/13,2/13,4/13,6/13,7/13,8/13,31/13}, {-1/24,1/24,5/24,7/24,11/24,13/24,5/8,19/8}, {-1/32,1/32,3/32,7/32,9/32,13/32,19/32,77/32}, {0,1/10,1/10,1/5,2/5,3/5,7/10,23/10}, {-1/24,1/24,1/8,5/24,11/24,13/24,17/24,55/24}, {-1/22,1/22,3/22,5/22,9/22,13/22,15/22,51/22}, {0,1/11,1/11,2/11,5/11,6/11,8/11,25/11}, {1/20,1/20,3/20,3/20,9/20,11/20,3/4,9/4}, {-1/28,1/28,3/28,5/28,9/28,11/28,17/28,67/28}, {0,1/11,1/11,2/11,4/11,5/11,7/11,26/11}, {0,1/13,1/13,2/13,4/13,5/13,8/13,31/13}, {-1/24,1/24,1/8,5/24,3/8,11/24,5/8,19/8}, {0,1/11,2/11,2/11,4/11,6/11,7/11,26/11}, {-1/32,3/32,3/32,5/32,9/32,13/32,19/32,77/32}, {0,1/15,2/15,2/15,4/15,2/5,3/5,12/5}, {0,1/15,1/15,1/5,4/15,2/5,3/5,12/5}, {1/28,1/28,3/28,5/28,1/4,11/28,17/28,67/28}, {1/24,1/8,1/8,5/24,11/24,13/24,17/24,55/24}, {-1/26,3/26,3/26,7/26,11/26,15/26,17/26,61/26}, {0,1/11,1/11,3/11,4/11,6/11,7/11,26/11}, {-1/22,3/22,3/22,5/22,9/22,1/2,13/22,53/22}, {0,1/10,1/5,1/5,2/5,1/2,3/5,12/5}, {-1/24,1/8,1/8,7/24,11/24,13/24,5/8,19/8}, {0,1/10,1/10,3/10,2/5,1/2,3/5,12/5}, {-1/26,3/26,3/26,5/26,9/26,11/26,15/26,63/26}, {0,1/12,1/12,1/4,1/3,5/12,7/12,29/12}, {0,1/12,1/6,1/6,1/3,5/12,7/12,29/12}, {1/22,1/22,3/22,5/22,9/22,1/2,17/22,49/22}, {-1/24,1/24,5/24,7/24,3/8,11/24,5/8,19/8}, {-1/22,1/22,3/22,5/22,7/22,1/2,15/22,51/22}, {1/12,1/12,1/6,1/4,5/12,1/2,3/4,9/4}, {0,1/11,2/11,4/11,4/11,6/11,7/11,26/11}, {-1/18,1/18,1/9,2/9,5/18,7/18,11/18,43/18}, {0,1/15,2/15,4/15,4/15,2/5,3/5,12/5}, {1/26,1/26,3/26,5/26,7/26,9/26,19/26,59/26}, {-1/24,1/24,1/8,7/24,3/8,13/24,17/24,55/24}, {-1/13,1/13,3/13,4/13,5/13,7/13,8/13,31/13}, {-1/14,1/14,1/7,5/14,3/7,1/2,9/14,33/14}, {-1/14,1/14,1/7,3/14,5/14,3/7,4/7,17/7}, {-1/26,1/26,3/26,7/26,9/26,11/26,15/26,63/26}, {-1/22,1/22,3/22,7/22,9/22,1/2,13/22,53/22}, {-1/26,1/26,5/26,9/26,11/26,1/2,17/26,61/26}, {0,1/14,1/7,1/7,2/7,5/14,5/7,16/7}, {-1/34,3/34,3/34,7/34,9/34,13/34,21/34,81/34}, {1/16,1/16,1/8,3/16,1/4,5/16,11/16,37/16}, {1/12,1/12,1/6,1/4,1/3,5/12,3/4,9/4}, {1/26,3/26,3/26,7/26,11/26,1/2,19/26,59/26}, {0,1/11,1/11,3/11,4/11,6/11,8/11,25/11}, {1/18,1/18,1/6,1/6,7/18,11/18,13/18,41/18}, {1/11,1/11,2/11,2/11,5/11,6/11,8/11,25/11}, {1/20,1/20,3/20,1/4,7/20,11/20,13/20,47/20}, {-1/26,3/26,5/26,9/26,11/26,15/26,17/26,61/26}, {-1/26,3/26,3/26,9/26,11/26,1/2,17/26,61/26}, {1/22,1/22,3/22,5/22,7/22,9/22,13/22,53/22}, {1/18,1/18,1/6,5/18,7/18,1/2,11/18,43/18}, {0,1/12,1/6,1/4,1/3,1/2,3/4,9/4}, {1/28,3/28,5/28,1/4,11/28,13/28,3/4,9/4}, {0,1/13,2/13,3/13,5/13,6/13,10/13,29/13}, {0,1/14,1/7,3/14,5/14,1/2,9/14,33/14}, {0,1/18,1/9,1/6,5/18,7/18,11/18,43/18}, {0,1/13,2/13,3/13,5/13,6/13,8/13,31/13}, {0,1/14,1/7,3/14,3/7,4/7,5/7,16/7}, {-1/36,1/12,5/36,7/36,11/36,5/12,7/12,29/12}, {0,1/17,2/17,4/17,5/17,7/17,10/17,41/17}, {0,1/15,2/15,1/5,1/3,2/5,3/5,12/5}, {-1/28,3/28,5/28,1/4,11/28,15/28,17/28,67/28}, {-1/30,1/10,1/6,3/10,13/30,17/30,19/30,71/30}, {-1/38,3/38,5/38,9/38,11/38,15/38,23/38,91/38}, {0,1/15,2/15,4/15,2/5,8/15,11/15,34/15}, {0,1/13,2/13,4/13,5/13,7/13,8/13,31/13}, {-1/32,3/32,5/32,11/32,13/32,17/32,21/32,75/32}, {-1/10,1/10,1/10,3/10,3/10,1/2,1/2,23/10}, {0,0,0,0,0,1/2,1/2,2}, {0,0,0,0,1/3,1/3,2/3,2}, {0,0,1/4,1/4,1/2,1/2,1/2,2}, {0,0,1/3,1/3,1/3,1/3,2/3,2}, {0,1/6,1/6,1/3,1/3,1/3,2/3,2}, {0,1/5,1/5,1/5,2/5,2/5,3/5,2}, {1/8,1/8,1/8,1/8,3/8,3/8,5/8,17/8}, {-1/6,1/6,1/6,1/3,1/3,1/3,2/3,13/6}, {-1/14,1/14,3/14,3/14,5/14,5/14,9/14,31/14}, {0,1/8,1/8,1/4,3/8,3/8,5/8,17/8}, {-1/9,1/9,1/9,2/9,1/3,4/9,5/9,7/3}, {-1/11,1/11,1/11,3/11,4/11,5/11,6/11,25/11}, {-1/14,1/14,3/14,5/14,5/14,1/2,1/2,33/14}, {0,1/6,1/6,1/3,1/3,1/2,1/2,7/3}, {-1/14,1/14,1/14,3/14,5/14,1/2,9/14,31/14}, {-1/18,1/18,1/18,5/18,7/18,7/18,11/18,41/18}, {-1/8,1/8,1/4,1/4,3/8,3/8,5/8,17/8}, {-1/18,1/18,5/18,5/18,7/18,7/18,11/18,37/18}, {0,0,0,0,1/5,2/5,3/5,2}, {0,0,0,1/4,1/4,1/2,1/2,2}, {0,0,1/5,1/5,1/5,2/5,3/5,2}, {0,1/8,1/8,1/4,1/4,3/8,5/8,2}, {0,1/7,1/7,1/7,2/7,3/7,4/7,2}, {-1/10,1/10,1/10,3/10,3/10,1/2,7/10,21/10}, {0,0,0,0,1/4,1/2,3/4,2}, {0,0,1/6,1/6,1/3,1/2,2/3,13/6}, {0,0,1/4,1/4,1/4,1/2,3/4,2}, {1/10,1/10,1/10,1/10,3/10,1/2,7/10,21/10}, {0,0,1/6,1/6,1/3,1/3,2/3,2}, {0,0,1/8,1/4,3/8,3/8,5/8,9/4}, {0,0,1/7,2/7,2/7,3/7,4/7,16/7}, {1/12,1/12,1/12,1/4,1/4,5/12,7/12,9/4}, {-1/16,1/16,3/16,3/16,5/16,7/16,9/16,37/16}, {-1/18,1/18,1/6,5/18,5/18,1/2,1/2,41/18}, {-1/20,1/20,1/4,1/4,9/20,9/20,11/20,41/20}, {0,0,1/6,1/6,1/3,1/2,1/2,2}, {-1/14,1/14,3/14,5/14,5/14,5/14,9/14,29/14}, {0,0,1/5,2/5,2/5,2/5,3/5,2}, {0,1/8,1/4,1/4,3/8,3/8,5/8,2}, {1/12,1/12,1/4,1/4,1/4,5/12,7/12,25/12}, {-1/16,1/16,3/16,5/16,7/16,7/16,9/16,37/16}, {0,1/7,1/7,2/7,2/7,3/7,5/7,2}, {0,1/9,1/9,2/9,1/3,1/3,2/3,2}, {0,2/11,2/11,3/11,4/11,4/11,7/11,2}, {1/20,3/20,3/20,1/4,7/20,7/20,13/20,41/20}, {0,1/7,1/7,2/7,3/7,3/7,4/7,2}, {0,1/9,2/9,2/9,4/9,4/9,5/9,2}, {0,1/10,1/10,1/5,2/5,2/5,3/5,11/5}, {1/18,1/18,1/6,1/6,7/18,7/18,11/18,13/6}, {1/14,1/14,3/14,3/14,5/14,5/14,9/14,29/14}, {0,1/5,1/5,1/5,1/5,2/5,3/5,11/5}, {0,1/7,1/7,1/7,2/7,3/7,4/7,16/7}, {0,1/8,1/8,1/4,1/4,1/2,1/2,9/4}, {1/18,1/18,1/6,1/6,5/18,7/18,11/18,41/18}, {1/14,1/14,3/14,3/14,5/14,1/2,1/2,29/14}, {1/18,1/6,1/6,5/18,5/18,7/18,11/18,37/18}, {1/16,3/16,3/16,3/16,5/16,7/16,9/16,33/16}, {1/7,1/7,1/7,1/7,2/7,3/7,4/7,15/7}, {-1/11,1/11,2/11,3/11,4/11,4/11,7/11,24/11}, {-1/20,1/20,3/20,1/4,7/20,7/20,13/20,9/4}, {-1/16,3/16,3/16,5/16,5/16,7/16,11/16,35/16}, {0,1/13,2/13,2/13,4/13,5/13,8/13,30/13}, {0,1/10,1/10,1/5,3/10,2/5,3/5,23/10}, {0,1/11,1/11,2/11,4/11,5/11,7/11,24/11}, {-1/24,1/24,1/8,7/24,3/8,11/24,5/8,55/24}, {0,1/11,1/11,3/11,4/11,5/11,7/11,25/11}, {-1/24,1/24,1/8,5/24,3/8,11/24,5/8,53/24}, {-1/20,1/20,3/20,1/4,7/20,11/20,13/20,9/4}, {0,1/12,1/12,1/4,1/3,5/12,7/12,9/4}, {1/26,3/26,3/26,5/26,9/26,11/26,15/26,57/26}, {0,1/9,1/9,2/9,1/3,5/9,2/3,20/9}, {-1/13,1/13,3/13,4/13,5/13,5/13,8/13,27/13}, {0,0,1/8,1/8,1/4,3/8,5/8,2}, {0,1/11,1/11,2/11,3/11,4/11,7/11,2}, {0,0,1/7,2/7,2/7,3/7,4/7,2}, {0,2/13,2/13,3/13,4/13,5/13,8/13,2}, {0,1/10,1/5,1/5,3/10,2/5,3/5,2}, {0,0,1/7,1/7,2/7,3/7,5/7,2}, {-1/16,1/16,3/16,5/16,5/16,7/16,11/16,33/16}, {0,1/7,1/7,2/7,2/7,4/7,5/7,15/7}, {-1/22,1/22,5/22,7/22,9/22,9/22,13/22,45/22}, {0,1/9,1/9,2/9,1/3,4/9,5/9,2}, {1/20,3/20,3/20,1/4,7/20,9/20,11/20,41/20}, {-1/20,1/20,3/20,1/4,7/20,9/20,13/20,43/20}, {-1/28,1/28,3/28,1/4,11/28,11/28,17/28,9/4}, {0,1/9,2/9,2/9,1/3,4/9,2/3,20/9}, {-1/13,1/13,2/13,3/13,4/13,6/13,7/13,30/13}, {-1/15,1/15,2/15,4/15,1/3,7/15,8/15,34/15}, {-1/26,1/26,3/26,7/26,9/26,11/26,15/26,59/26}, {-1/22,1/22,3/22,5/22,7/22,9/22,13/22,51/22}, {0,1/10,1/5,3/10,3/10,1/2,1/2,23/10}, {0,1/11,2/11,2/11,4/11,5/11,6/11,2}, {1/24,1/8,5/24,5/24,3/8,11/24,13/24,49/24}, {0,1/11,2/11,3/11,4/11,4/11,7/11,23/11}, {0,1/10,1/5,3/10,2/5,2/5,3/5,2}, {1/16,1/16,3/16,5/16,5/16,7/16,9/16,33/16}, {-1/11,1/11,2/11,3/11,4/11,5/11,6/11,26/11}, {-1/13,1/13,2/13,4/13,5/13,6/13,7/13,30/13}, {-1/22,1/22,5/22,7/22,9/22,1/2,13/22,51/22}, {0,1/10,1/10,1/5,3/10,2/5,7/10,2}, {0,1/9,1/9,2/9,1/3,4/9,2/3,19/9}, {1/20,1/20,3/20,3/20,7/20,9/20,13/20,43/20}, {0,1/13,2/13,3/13,5/13,5/13,8/13,28/13}, {1/16,1/16,3/16,3/16,5/16,7/16,11/16,33/16}, {1/22,3/22,3/22,5/22,7/22,9/22,15/22,45/22}, {-1/18,1/6,1/6,5/18,5/18,7/18,11/18,13/6}, {0,1/8,1/8,1/4,1/4,3/8,5/8,9/4}, {0,1/11,2/11,2/11,3/11,4/11,7/11,25/11}, {0,1/10,1/5,1/5,3/10,2/5,3/5,11/5}, {0,1/11,2/11,2/11,3/11,5/11,6/11,25/11}, {0,1/10,1/5,3/10,3/10,2/5,3/5,21/10}, {1/22,3/22,3/22,5/22,7/22,9/22,13/22,47/22}, {-1/24,1/8,1/8,5/24,7/24,11/24,13/24,55/24}, {-1/28,3/28,3/28,1/4,9/28,13/28,15/28,9/4}, {-1/22,3/22,5/22,5/22,7/22,9/22,13/22,47/22}, {1/20,1/20,3/20,1/4,1/4,9/20,11/20,9/4}, {1/22,1/22,3/22,5/22,7/22,9/22,13/22,49/22}, {0,1/13,3/13,3/13,5/13,6/13,7/13,27/13}, {0,1/12,1/4,1/4,1/3,5/12,7/12,25/12}, {1/22,3/22,5/22,5/22,7/22,9/22,13/22,45/22}, {1/28,5/28,5/28,1/4,9/28,11/28,17/28,57/28}, {1/12,1/12,1/6,1/6,1/3,5/12,7/12,13/6}, {1/10,1/10,1/5,1/5,3/10,2/5,3/5,21/10}, {1/13,2/13,2/13,3/13,4/13,5/13,8/13,27/13}, {1/20,1/20,3/20,1/4,7/20,9/20,13/20,9/4}, {1/16,1/16,3/16,3/16,5/16,9/16,11/16,35/16}, {-1/20,3/20,3/20,1/4,7/20,9/20,11/20,47/20}, {-1/24,1/8,1/8,7/24,3/8,11/24,13/24,55/24}, {0,1/10,1/10,3/10,2/5,2/5,3/5,23/10}, {0,1/9,2/9,2/9,1/3,4/9,5/9,7/3}, {1/16,1/16,3/16,5/16,5/16,7/16,9/16,37/16}, {0,1/16,1/8,1/4,3/8,7/16,5/8,9/4}, {0,1/14,1/7,3/14,5/14,1/2,9/14,31/14}, {0,1/12,1/6,1/4,1/3,5/12,7/12,2}, {0,1/14,1/7,2/7,5/14,1/2,9/14,16/7}, {0,1/13,2/13,4/13,5/13,6/13,8/13,30/13}, {0,1/12,1/6,1/4,1/3,5/12,2/3,9/4}, {-1/26,3/26,5/26,7/26,9/26,11/26,17/26,57/26}, {0,1/14,1/7,3/14,5/14,3/7,9/14,15/7}, {0,1/12,1/6,1/4,1/3,1/2,2/3,13/6}, {0,1/17,2/17,4/17,6/17,7/17,10/17,38/17}, {0,1/12,1/6,1/4,1/3,5/12,7/12,7/3}, {0,1/14,1/7,2/7,5/14,3/7,4/7,16/7}, {0,1/12,1/6,1/4,1/3,5/12,2/3,25/12}, {-1/32,3/32,7/32,9/32,11/32,13/32,19/32,67/32}, {0,1/14,3/14,2/7,5/14,3/7,4/7,29/14}, {1/26,3/26,5/26,7/26,9/26,11/26,15/26,53/26}, {-1/28,3/28,5/28,1/4,9/28,11/28,17/28,61/28}, {1/32,3/32,5/32,7/32,11/32,13/32,19/32,69/32}, {0,1/13,2/13,3/13,4/13,5/13,8/13,29/13}, {0,1/14,1/7,3/14,2/7,3/7,4/7,16/7}, {0,1/16,1/8,1/4,5/16,7/16,9/16,9/4}, {1/28,3/28,5/28,1/4,9/28,11/28,17/28,59/28}, {-1/28,3/28,5/28,1/4,9/28,13/28,15/28,65/28}, {-1/32,3/32,5/32,9/32,11/32,15/32,17/32,73/32}, {0,1/4,1/4,1/4,1/4,1/2,1/2,2}, {1/10,1/10,1/10,3/10,3/10,3/10,7/10,21/10}, {0,1/7,1/7,2/7,2/7,2/7,5/7,15/7}, {0,1/6,1/6,1/6,1/3,1/3,2/3,13/6}, {-1/16,1/16,1/16,5/16,5/16,7/16,9/16,37/16}, {0,0,0,0,0,1/3,1/3,2}, {0,0,0,1/3,1/3,1/3,1/3,2}, {0,0,1/5,1/5,2/5,2/5,2/5,2}, {0,0,1/4,1/4,1/4,1/4,1/2,2}, {0,1/7,1/7,2/7,2/7,2/7,4/7,2}, {0,1/6,1/6,1/6,1/3,1/3,1/2,2}, {0,1/5,1/5,1/5,1/5,2/5,2/5,2}, {1/12,1/12,1/12,1/4,1/4,5/12,3/4,25/12}, {0,0,0,0,1/4,1/4,1/2,2}, {-1/14,1/14,1/14,3/14,5/14,1/2,1/2,33/14}, {0,0,1/6,1/6,1/3,1/2,1/2,7/3}, {0,0,0,0,2/5,2/5,4/5,2}, {0,0,1/5,1/5,2/5,2/5,4/5,2}, {0,1/8,1/8,1/4,3/8,3/8,3/4,2}, {1/14,1/14,1/14,3/14,5/14,5/14,11/14,29/14}, {1/18,1/18,1/6,5/18,5/18,5/18,13/18,13/6}, {1/16,1/16,3/16,3/16,5/16,5/16,11/16,35/16}, {0,0,2/7,2/7,3/7,3/7,4/7,2}, {-1/10,1/10,3/10,3/10,3/10,3/10,7/10,21/10}, {0,1/7,2/7,2/7,2/7,3/7,4/7,2}, {0,1/5,1/5,3/10,3/10,2/5,3/5,2}, {1/22,3/22,3/22,7/22,7/22,7/22,15/22,45/22}, {0,2/9,2/9,2/9,1/3,4/9,5/9,2}, {0,1/6,1/6,1/3,1/3,1/2,1/2,2}, {0,1/8,1/4,1/4,3/8,1/2,1/2,2}, {1/16,1/16,3/16,5/16,5/16,5/16,11/16,33/16}, {1/8,1/8,1/8,1/4,1/4,3/8,5/8,17/8}, {1/14,1/14,1/14,3/14,5/14,5/14,9/14,31/14}, {1/9,1/9,1/9,2/9,1/3,1/3,2/3,19/9}, {1/10,1/10,1/10,1/10,3/10,1/2,1/2,23/10}, {1/14,1/14,3/14,3/14,3/14,5/14,9/14,31/14}, {1/14,3/14,3/14,3/14,3/14,1/2,1/2,29/14}, {0,1/9,1/9,2/9,1/3,1/3,2/3,20/9}, {-1/9,1/9,2/9,1/3,1/3,1/3,2/3,19/9}, {0,1/10,1/5,3/10,3/10,3/10,7/10,21/10}, {0,1/9,1/9,2/9,1/3,1/3,7/9,19/9}, {-1/20,3/20,3/20,1/4,7/20,7/20,13/20,43/20}, {0,1/9,2/9,2/9,1/3,1/3,2/3,19/9}, {1/22,3/22,3/22,5/22,7/22,7/22,15/22,47/22}, {-1/14,1/14,1/14,2/7,5/14,3/7,4/7,16/7}, {-1/20,1/20,3/20,7/20,7/20,9/20,11/20,47/20}, {0,1/11,1/11,3/11,3/11,5/11,6/11,25/11}, {-1/20,1/20,1/20,1/4,7/20,9/20,13/20,9/4}, {-1/11,1/11,3/11,3/11,4/11,4/11,7/11,23/11}, {0,0,0,1/5,1/5,2/5,2/5,2}, {0,0,1/7,1/7,2/7,3/7,3/7,2}, {0,0,1/7,1/7,2/7,2/7,4/7,2}, {0,0,1/6,1/3,1/3,1/3,1/2,2}, {0,0,1/4,1/4,3/8,3/8,1/2,2}, {0,1/9,1/9,2/9,2/9,1/3,5/9,2}, {0,1/10,1/10,1/5,3/10,3/10,3/5,2}, {0,1/6,1/6,1/4,1/3,1/3,7/12,2}, {0,1/8,1/8,1/8,1/4,3/8,1/2,2}, {0,1/8,1/8,1/4,3/8,3/8,1/2,2}, {0,1/10,1/5,1/5,2/5,2/5,1/2,2}, {0,1/9,2/9,2/9,1/3,1/3,5/9,2}, {0,1/7,1/7,2/7,2/7,3/7,3/7,2}, {0,1/9,2/9,2/9,1/3,4/9,4/9,2}, {0,1/8,1/4,1/4,1/4,3/8,1/2,2}, {0,2/11,2/11,3/11,3/11,4/11,6/11,2}, {0,1/5,1/5,1/5,3/10,2/5,1/2,2}, {0,0,1/6,1/6,1/6,1/3,1/2,2}, {-1/12,1/12,1/4,1/4,1/4,5/12,3/4,25/12}, {-1/7,1/7,1/7,2/7,2/7,3/7,5/7,15/7}, {0,0,1/9,2/9,1/3,4/9,2/3,20/9}, {1/20,1/20,3/20,1/4,1/4,7/20,3/4,43/20}, {1/18,1/18,1/6,1/6,5/18,7/18,13/18,13/6}, {0,0,1/8,1/8,3/8,3/8,3/4,2}, {-1/11,1/11,1/11,2/11,4/11,5/11,6/11,26/11}, {-1/20,1/20,3/20,3/20,7/20,9/20,11/20,47/20}, {-1/18,1/18,1/6,5/18,7/18,1/2,1/2,43/18}, {0,1/10,1/10,1/5,3/10,1/2,1/2,23/10}, {-1/20,1/20,1/20,1/4,7/20,9/20,11/20,47/20}, {1/16,1/16,1/16,3/16,5/16,7/16,9/16,37/16}, {-1/22,1/22,3/22,5/22,7/22,1/2,1/2,51/22}, {0,0,1/9,2/9,1/3,4/9,5/9,7/3}, {0,1/8,1/8,1/4,3/8,1/2,1/2,19/8}, {-1/14,1/14,3/14,3/14,5/14,5/14,11/14,29/14}, {1/22,1/22,3/22,5/22,7/22,7/22,17/22,47/22}, {1/20,1/20,3/20,1/4,7/20,7/20,3/4,41/20}, {1/16,1/16,1/16,3/16,5/16,7/16,11/16,35/16}, {1/24,1/24,1/8,5/24,3/8,3/8,5/8,53/24}, {1/10,1/10,1/10,1/5,3/10,2/5,3/5,11/5}, {0,2/11,2/11,3/11,4/11,5/11,6/11,2}, {-1/16,1/16,3/16,3/16,5/16,7/16,11/16,35/16}, {1/13,1/13,2/13,3/13,4/13,4/13,9/13,28/13}, {1/22,1/22,3/22,5/22,7/22,7/22,15/22,49/22}, {-1/24,1/24,1/8,7/24,7/24,11/24,13/24,55/24}, {-1/26,1/26,7/26,7/26,11/26,11/26,15/26,53/26}, {0,1/9,2/9,1/3,1/3,4/9,5/9,2}, {0,1/6,1/4,1/4,1/3,5/12,7/12,2}, {-1/22,1/22,3/22,7/22,9/22,9/22,13/22,51/22}, {0,1/11,1/11,2/11,4/11,4/11,8/11,2}, {1/26,3/26,3/26,7/26,9/26,9/26,19/26,53/26}, {1/24,1/8,1/8,7/24,7/24,3/8,17/24,49/24}, {1/15,2/15,2/15,4/15,1/3,1/3,2/3,31/15}, {0,2/13,3/13,3/13,5/13,6/13,7/13,2}, {0,1/11,3/11,3/11,4/11,5/11,6/11,2}, {0,1/8,1/8,1/4,1/4,3/8,3/4,17/8}, {1/18,1/18,1/6,5/18,5/18,7/18,13/18,37/18}, {1/10,1/10,1/10,1/5,3/10,2/5,7/10,21/10}, {0,1/7,1/7,1/7,2/7,3/7,5/7,15/7}, {0,1/11,2/11,2/11,4/11,4/11,7/11,24/11}, {0,1/13,1/13,3/13,5/13,5/13,8/13,29/13}, {1/12,1/12,1/6,1/4,1/3,1/3,2/3,25/12}, {1/20,3/20,3/20,1/4,1/4,7/20,13/20,43/20}, {1/18,1/6,1/6,1/6,5/18,7/18,11/18,13/6}, {0,1/9,1/9,1/9,1/3,4/9,5/9,7/3}, {1/22,1/22,3/22,3/22,7/22,9/22,13/22,51/22}, {1/20,1/20,3/20,1/4,1/4,7/20,13/20,9/4}, {1/26,1/26,5/26,5/26,7/26,9/26,17/26,59/26}, {1/12,1/12,1/6,1/4,1/4,1/3,2/3,13/6}, {1/18,1/18,1/6,1/6,5/18,1/2,1/2,41/18}, {1/20,1/20,1/4,1/4,7/20,9/20,11/20,41/20}, {0,1/8,1/4,1/4,1/4,3/8,5/8,17/8}, {1/20,3/20,1/4,1/4,1/4,9/20,11/20,41/20}, {1/24,5/24,5/24,5/24,7/24,11/24,13/24,49/24}, {1/18,1/6,1/6,5/18,5/18,1/2,1/2,37/18}, {1/22,3/22,5/22,5/22,7/22,1/2,1/2,45/22}, {1/26,5/26,5/26,7/26,7/26,11/26,15/26,53/26}, {1/11,1/11,2/11,3/11,3/11,4/11,7/11,23/11}, {1/14,1/7,1/7,2/7,2/7,5/14,9/14,29/14}, {1/11,1/11,2/11,2/11,3/11,4/11,7/11,24/11}, {0,1/9,1/9,1/3,1/3,4/9,5/9,7/3}, {1/14,1/14,3/14,3/14,5/14,1/2,1/2,33/14}, {-1/26,3/26,5/26,7/26,9/26,9/26,17/26,55/26}, {0,1/12,1/6,1/4,1/3,1/3,3/4,25/12}, {1/28,3/28,5/28,1/4,9/28,9/28,19/28,59/28}, {-1/30,1/10,1/10,3/10,11/30,13/30,17/30,23/10}, {-1/28,1/28,3/28,1/4,9/28,13/28,15/28,65/28}, {-1/16,1/16,1/8,5/16,3/8,7/16,9/16,37/16}, {0,1/14,1/14,3/14,5/14,3/7,9/14,31/14}, {-1/30,1/30,1/10,7/30,11/30,13/30,19/30,67/30}, {-1/28,1/28,5/28,9/28,11/28,13/28,17/28,65/28}, {1/32,3/32,3/32,7/32,11/32,13/32,19/32,71/32}, {0,1/12,1/12,1/4,1/3,1/2,2/3,9/4}, {0,1/11,2/11,2/11,3/11,4/11,6/11,2}, {0,1/10,1/10,1/5,3/10,2/5,1/2,2}, {0,1/6,1/6,1/4,1/3,5/12,1/2,2}, {0,1/12,1/6,1/6,1/3,5/12,1/2,2}, {0,1/7,1/7,3/14,2/7,5/14,4/7,2}, {0,1/11,2/11,3/11,4/11,4/11,6/11,2}, {0,1/10,1/5,3/10,3/10,2/5,1/2,2}, {0,1/12,1/4,1/4,1/3,5/12,1/2,2}, {0,1/7,3/14,3/14,5/14,3/7,1/2,2}, {0,2/13,3/13,3/13,4/13,5/13,7/13,2}, {0,0,1/8,1/4,1/4,3/8,1/2,2}, {1/22,1/22,3/22,5/22,7/22,1/2,15/22,49/22}, {-1/10,1/10,1/5,3/10,3/10,2/5,7/10,21/10}, {1/24,1/24,1/8,5/24,7/24,3/8,17/24,53/24}, {1/14,1/14,1/7,3/14,2/7,5/14,5/7,15/7}, {-1/18,1/6,1/6,5/18,5/18,1/2,13/18,13/6}, {-1/28,3/28,3/28,5/28,9/28,13/28,15/28,65/28}, {-1/15,1/15,2/15,1/5,1/3,7/15,8/15,7/3}, {0,1/13,2/13,2/13,4/13,6/13,7/13,30/13}, {-1/13,1/13,2/13,3/13,5/13,6/13,7/13,31/13}, {-1/26,1/26,3/26,5/26,9/26,11/26,15/26,61/26}, {0,1/12,1/12,1/6,1/3,5/12,7/12,7/3}, {0,1/13,1/13,3/13,4/13,6/13,7/13,30/13}, {-1/24,1/8,1/8,5/24,3/8,11/24,13/24,19/8}, {0,1/11,1/11,3/11,4/11,5/11,6/11,26/11}, {0,1/11,2/11,2/11,4/11,5/11,6/11,26/11}, {0,1/12,1/6,1/4,1/3,1/2,1/2,7/3}, {-1/26,1/26,3/26,7/26,9/26,1/2,17/26,59/26}, {1/26,1/26,3/26,5/26,9/26,11/26,17/26,57/26}, {1/28,5/28,5/28,1/4,9/28,13/28,15/28,57/28}, {-1/12,1/12,1/6,1/4,1/3,5/12,2/3,13/6}, {-1/22,1/22,3/22,5/22,7/22,9/22,15/22,49/22}, {0,1/12,1/6,1/6,1/3,5/12,2/3,13/6}, {0,1/10,1/5,1/5,3/10,1/2,7/10,11/5}, {0,1/13,2/13,4/13,4/13,6/13,7/13,30/13}, {-1/18,1/18,1/9,5/18,1/3,4/9,5/9,41/18}, {1/32,5/32,7/32,7/32,11/32,15/32,17/32,65/32}, {0,1/11,2/11,3/11,3/11,4/11,8/11,23/11}, {-1/24,1/24,1/8,7/24,3/8,11/24,13/24,19/8}, {1/16,1/8,1/8,1/4,5/16,3/8,11/16,33/16}, {0,1/7,3/14,2/7,5/14,3/7,4/7,2}, {1/13,1/13,2/13,3/13,4/13,5/13,9/13,27/13}, {0,1/10,1/5,1/5,3/10,2/5,7/10,21/10}, {-1/22,3/22,3/22,5/22,7/22,9/22,15/22,47/22}, {0,1/10,1/10,1/5,3/10,2/5,7/10,11/5}, {-1/30,1/10,1/6,7/30,11/30,11/30,19/30,13/6}, {0,1/14,1/7,3/14,5/14,5/14,9/14,31/14}, {1/24,1/8,1/8,5/24,7/24,3/8,17/24,17/8}, {-1/28,3/28,1/4,1/4,9/28,11/28,17/28,59/28}, {1/24,1/8,5/24,5/24,7/24,3/8,5/8,17/8}, {-1/24,1/8,5/24,7/24,7/24,3/8,5/8,17/8}, {0,2/13,2/13,3/13,4/13,5/13,8/13,28/13}, {1/24,1/24,1/8,5/24,7/24,11/24,13/24,55/24}, {-1/34,3/34,3/34,9/34,11/34,15/34,19/34,77/34}, {1/15,1/15,2/15,1/5,1/3,2/5,3/5,11/5}, {1/28,3/28,5/28,5/28,9/28,11/28,17/28,61/28}, {1/14,1/14,1/7,3/14,2/7,5/14,9/14,31/14}, {1/24,1/8,5/24,7/24,7/24,11/24,13/24,49/24}, {0,1/16,1/4,1/4,3/8,7/16,9/16,33/16}, {1/30,1/6,7/30,7/30,3/10,13/30,17/30,61/30}, {1/26,3/26,5/26,7/26,7/26,9/26,17/26,55/26}, {1/28,3/28,1/4,1/4,9/28,13/28,15/28,57/28}, {1/24,1/8,1/8,5/24,7/24,3/8,5/8,53/24}, {1/20,1/20,3/20,1/4,7/20,9/20,11/20,47/20}, {0,1/17,2/17,4/17,6/17,8/17,11/17,38/17}, {0,1/13,2/13,3/13,4/13,5/13,7/13,2}, {0,2/15,1/5,4/15,1/3,2/5,8/15,2}, {0,1/16,1/8,3/16,5/16,7/16,9/16,37/16}, {-1/32,3/32,5/32,7/32,11/32,15/32,17/32,75/32}, {0,1/14,1/7,3/14,5/14,3/7,4/7,33/14}, {0,1/13,2/13,3/13,4/13,6/13,9/13,29/13}, {-1/32,3/32,5/32,7/32,11/32,13/32,21/32,69/32}, {0,1/15,2/15,1/5,1/3,2/5,2/3,11/5}, {-1/28,3/28,5/28,1/4,9/28,13/28,19/28,61/28}, {-1/38,3/38,5/38,11/38,13/38,17/38,21/38,87/38}, {1/30,1/10,1/6,7/30,3/10,11/30,7/10,21/10}, {-1/28,3/28,5/28,1/4,9/28,11/28,19/28,59/28}, {0,1/9,1/6,2/9,1/3,7/18,11/18,13/6}, {0,1/8,3/16,1/4,5/16,3/8,5/8,17/8}, {1/34,5/34,7/34,9/34,11/34,15/34,19/34,69/34}, {1/34,3/34,5/34,7/34,11/34,13/34,21/34,75/34}, {0,1/15,2/15,4/15,1/3,7/15,8/15,7/3}, {0,0,0,0,0,0,0,2}, {-1/6,1/6,1/6,1/6,1/6,1/2,1/2,11/6}, {-1/8,1/8,1/8,1/8,3/8,3/8,5/8,15/8}, {0,0,1/5,1/5,2/5,2/5,3/5,9/5}, {0,0,1/4,1/4,1/4,1/2,1/2,7/4}, {1/12,1/12,1/12,1/4,5/12,5/12,7/12,7/4}, {1/12,1/12,1/4,1/4,5/12,5/12,7/12,23/12}, {1/8,1/8,1/8,3/8,3/8,3/8,5/8,15/8}, {-1/12,1/12,1/4,1/4,1/4,5/12,5/12,7/4}, {0,1/8,1/8,1/4,3/8,3/8,1/2,7/4}, {-1/10,1/10,1/10,3/10,3/10,1/2,1/2,19/10}, {-1/16,1/16,3/16,3/16,5/16,7/16,9/16,29/16}, {-1/14,1/14,3/14,3/14,3/14,1/2,1/2,25/14}, {0,1/9,1/9,2/9,1/3,4/9,5/9,16/9}, {-1/18,1/18,1/6,1/6,7/18,7/18,11/18,11/6}, {-1/14,1/14,3/14,3/14,5/14,5/14,9/14,27/14}, {-1/10,1/10,1/10,3/10,2/5,1/2,3/5,23/10}, {-1/8,1/8,1/8,1/8,1/8,3/8,3/8,15/8}, {0,0,1/6,1/6,1/3,1/3,1/2,11/6}, {0,0,1/5,1/5,1/5,2/5,2/5,9/5}, {1/14,1/14,1/14,3/14,5/14,5/14,1/2,25/14}, {1/14,1/14,3/14,3/14,5/14,5/14,1/2,27/14}, {1/10,1/10,1/10,3/10,3/10,3/10,1/2,19/10}, {-1/10,1/10,1/10,1/10,1/10,1/2,1/2,19/10}, {-1/12,1/12,1/12,1/12,1/4,5/12,7/12,23/12}, {0,0,1/7,1/7,2/7,3/7,4/7,13/7}, {0,0,1/6,1/6,1/6,1/2,1/2,11/6}, {1/16,1/16,1/16,3/16,5/16,7/16,9/16,29/16}, {1/12,1/12,1/12,1/4,1/4,5/12,7/12,23/12}, {-1/16,1/16,1/16,3/16,7/16,7/16,9/16,37/16}, {0,0,1/7,1/7,3/7,3/7,4/7,16/7}, {0,0,1/4,1/4,3/8,3/8,5/8,17/8}, {1/20,1/20,3/20,1/4,7/20,9/20,11/20,7/4}, {1/14,1/14,3/14,5/14,5/14,5/14,9/14,27/14}, {1/10,1/10,3/10,3/10,3/10,1/2,7/10,21/10}, {-1/20,3/20,3/20,1/4,7/20,7/20,13/20,39/20}, {1/16,3/16,3/16,5/16,5/16,7/16,11/16,33/16}, {0,1/10,1/10,1/5,2/5,2/5,3/5,9/5}, {1/22,1/22,3/22,5/22,9/22,9/22,13/22,39/22}, {0,1/9,2/9,2/9,1/3,4/9,5/9,17/9}, {1/16,1/16,3/16,3/16,5/16,7/16,9/16,31/16}, {1/16,1/16,3/16,5/16,7/16,7/16,9/16,31/16}, {1/22,3/22,5/22,5/22,9/22,9/22,13/22,43/22}, {1/20,3/20,1/4,1/4,7/20,9/20,11/20,39/20}, {1/9,1/9,2/9,2/9,1/3,4/9,5/9,2}, {0,1/7,1/7,2/7,2/7,3/7,4/7,13/7}, {0,1/8,1/8,1/4,3/8,3/8,5/8,15/8}, {1/18,1/18,1/6,5/18,7/18,7/18,11/18,11/6}, {1/18,1/6,1/6,5/18,7/18,7/18,11/18,35/18}, {1/16,3/16,3/16,5/16,5/16,7/16,9/16,31/16}, {1/10,1/10,1/5,3/10,2/5,2/5,3/5,19/10}, {1/7,1/7,1/7,2/7,2/7,3/7,4/7,2}, {1/6,1/6,1/6,1/6,1/3,1/2,2/3,13/6}, {0,1/12,1/6,1/4,1/3,5/12,1/2,7/4}, {0,1/13,2/13,3/13,4/13,6/13,7/13,23/13}, {0,1/14,1/7,3/14,5/14,3/7,4/7,25/14}, {-1/13,1/13,2/13,4/13,5/13,7/13,8/13,30/13}, {-1/24,1/8,1/8,7/24,3/8,13/24,5/8,55/24}, {1/24,1/8,1/8,5/24,3/8,11/24,5/8,53/24}, {-1/18,1/18,1/6,1/6,5/18,7/18,1/2,11/6}, {-1/16,1/16,3/16,3/16,3/16,7/16,7/16,29/16}, {0,1/10,1/5,1/5,3/10,2/5,1/2,19/10}, {0,1/8,1/8,1/4,1/4,3/8,1/2,15/8}, {-1/12,1/12,1/12,1/4,1/4,5/12,5/12,23/12}, {1/18,1/18,1/6,5/18,7/18,7/18,1/2,35/18}, {1/24,1/24,1/8,5/24,3/8,3/8,13/24,43/24}, {1/20,1/20,3/20,1/4,7/20,7/20,11/20,37/20}, {1/22,1/22,3/22,5/22,7/22,9/22,1/2,39/22}, {1/22,3/22,5/22,5/22,7/22,9/22,1/2,43/22}, {1/18,1/6,1/6,5/18,5/18,7/18,1/2,35/18}, {0,1/10,1/10,1/5,3/10,2/5,1/2,9/5}, {1/11,1/11,2/11,3/11,4/11,4/11,6/11,21/11}, {-1/14,1/14,1/14,3/14,3/14,1/2,1/2,27/14}, {0,1/11,2/11,2/11,3/11,5/11,6/11,21/11}, {-1/18,1/18,1/6,1/6,5/18,7/18,11/18,35/18}, {-1/20,1/20,3/20,3/20,1/4,9/20,11/20,37/20}, {-1/22,1/22,3/22,3/22,7/22,9/22,13/22,41/22}, {-1/24,1/8,1/8,5/24,7/24,3/8,5/8,47/24}, {1/22,3/22,3/22,5/22,7/22,9/22,13/22,43/22}, {0,1/11,1/11,2/11,3/11,5/11,6/11,20/11}, {0,1/12,1/12,1/6,1/3,5/12,7/12,11/6}, {1/26,1/26,3/26,5/26,9/26,11/26,15/26,47/26}, {1/24,1/24,1/8,5/24,7/24,11/24,13/24,43/24}, {1/26,3/26,5/26,5/26,9/26,11/26,15/26,51/26}, {0,1/9,1/9,2/9,2/9,4/9,5/9,17/9}, {0,1/10,1/10,1/5,3/10,2/5,3/5,19/10}, {-1/22,1/22,3/22,5/22,9/22,1/2,13/22,51/22}, {0,1/11,1/11,2/11,4/11,5/11,6/11,25/11}, {0,1/10,1/10,1/5,2/5,1/2,3/5,23/10}, {0,1/9,1/9,2/9,4/9,4/9,5/9,7/3}, {-1/26,1/26,3/26,5/26,11/26,11/26,15/26,59/26}, {-1/24,1/24,1/8,5/24,3/8,11/24,13/24,55/24}, {-1/24,1/24,5/24,7/24,3/8,3/8,5/8,17/8}, {1/18,1/18,1/6,5/18,5/18,7/18,11/18,35/18}, {1/9,1/9,2/9,2/9,1/3,4/9,2/3,19/9}, {0,1/11,2/11,3/11,4/11,4/11,7/11,21/11}, {1/24,1/8,5/24,7/24,3/8,3/8,5/8,47/24}, {1/10,1/10,1/5,3/10,3/10,2/5,3/5,2}, {0,1/9,2/9,1/3,1/3,4/9,2/3,19/9}, {-1/12,1/12,1/6,1/3,5/12,1/2,7/12,7/3}, {1/24,1/8,5/24,7/24,3/8,11/24,13/24,47/24}, {0,1/11,2/11,3/11,4/11,5/11,6/11,21/11}, {1/20,1/20,3/20,1/4,7/20,9/20,11/20,39/20}, {1/26,3/26,5/26,7/26,11/26,11/26,15/26,51/26}, {1/12,1/6,1/6,1/4,1/3,5/12,2/3,25/12}, {1/20,3/20,3/20,1/4,7/20,9/20,13/20,43/20}, {0,1/12,1/6,1/4,1/3,5/12,7/12,11/6}, {1/26,3/26,5/26,7/26,9/26,11/26,15/26,49/26}, {0,1/13,2/13,3/13,5/13,5/13,8/13,24/13}, {1/12,1/12,1/6,1/4,1/3,5/12,7/12,23/12}, {1/22,1/22,3/22,5/22,7/22,9/22,13/22,41/22}, {1/15,2/15,1/5,4/15,2/5,2/5,3/5,29/15}, {1/14,1/7,3/14,2/7,5/14,3/7,4/7,27/14}, {3/26,3/26,5/26,7/26,9/26,11/26,15/26,51/26}, {1/20,1/20,3/20,3/20,7/20,9/20,11/20,9/4}, {1/11,1/11,2/11,3/11,4/11,5/11,6/11,2}, {1/22,1/22,5/22,5/22,7/22,9/22,13/22,47/22}, {1/11,2/11,2/11,3/11,3/11,5/11,6/11,2}, {1/14,1/7,3/14,3/14,5/14,3/7,4/7,2}, {1/13,2/13,3/13,3/13,4/13,6/13,7/13,2}, {1/12,1/6,1/6,1/4,1/3,5/12,7/12,2}, {1/18,1/18,1/6,1/6,7/18,1/2,11/18,41/18}, {1/11,1/11,2/11,2/11,4/11,5/11,7/11,24/11}, {1/20,1/20,1/4,1/4,7/20,9/20,13/20,43/20}, {-1/22,3/22,3/22,7/22,9/22,1/2,13/22,51/22}, {0,1/13,2/13,3/13,4/13,5/13,7/13,24/13}, {0,1/15,2/15,1/5,1/3,2/5,8/15,9/5}, {0,1/12,1/6,1/4,1/3,5/12,1/2,23/12}, {1/28,3/28,5/28,1/4,9/28,11/28,15/28,53/28}, {1/26,3/26,5/26,7/26,9/26,11/26,1/2,51/26}, {1/15,2/15,1/5,4/15,1/3,2/5,8/15,29/15}, {0,1/14,1/7,3/14,2/7,3/7,1/2,25/14}, {0,1/16,1/8,3/16,5/16,7/16,9/16,29/16}, {0,1/13,2/13,3/13,4/13,6/13,7/13,25/13}, {0,1/15,2/15,1/5,1/3,2/5,3/5,28/15}, {1/30,1/10,1/6,7/30,3/10,13/30,17/30,19/10}, {1/17,2/17,3/17,4/17,6/17,7/17,10/17,33/17}, {0,1/14,1/7,3/14,2/7,3/7,4/7,13/7}, {0,1/13,2/13,3/13,4/13,5/13,8/13,25/13}, {1/28,3/28,5/28,1/4,9/28,11/28,17/28,55/28}, {0,1/13,2/13,3/13,5/13,7/13,8/13,30/13}, {0,1/16,1/8,3/16,3/8,7/16,9/16,9/4}, {0,1/13,2/13,3/13,5/13,6/13,7/13,30/13}, {0,1/12,1/6,1/4,5/12,1/2,7/12,7/3}, {0,1/15,2/15,1/5,1/3,7/15,8/15,34/15}, {0,1/15,2/15,1/5,2/5,7/15,3/5,34/15}, {1/30,1/10,1/6,7/30,11/30,13/30,17/30,59/30}, {1/16,1/8,3/16,1/4,3/8,7/16,9/16,2}, {1/30,1/10,1/6,7/30,11/30,13/30,19/30,13/6}, {0,1/14,3/14,2/7,5/14,3/7,9/14,15/7}, {1/26,3/26,5/26,7/26,9/26,11/26,17/26,55/26}, {1/15,2/15,1/5,4/15,1/3,7/15,8/15,2}, {0,1/15,1/5,4/15,1/3,2/5,3/5,32/15}, {1/12,5/36,7/36,1/4,13/36,5/12,7/12,71/36}, {1/15,2/15,1/5,4/15,1/3,2/5,3/5,2}, {3/34,5/34,7/34,9/34,11/34,15/34,19/34,67/34}, {-1/28,3/28,5/28,9/28,11/28,15/28,17/28,65/28}, {-1/4,1/4,1/4,1/4,1/4,1/4,1/4,7/4}, {0,0,0,0,0,0,1,2}, {0,0,0,1/3,1/3,1/3,1,2}, {0,0,1/4,1/4,1/4,1/4,1,2}, {0,1/5,1/5,1/5,1/5,1/5,1,2}, {1/6,1/6,1/6,1/6,1/6,1/6,5/6,13/6}, {0,1/5,1/5,1/5,1/5,1/5,4/5,11/5}, {0,0,0,0,0,1/3,1,2}, {0,0,0,0,1/4,1/4,1,2}, {0,0,0,1/5,1/5,1/5,1,2}, {0,0,1/6,1/6,1/6,1/6,1,2}, {0,1/7,1/7,1/7,1/7,1/7,1,2}, {1/8,1/8,1/8,1/8,1/8,3/8,7/8,17/8}, {1/10,1/10,1/10,1/10,3/10,3/10,9/10,21/10}, {-1/10,1/10,1/10,3/10,3/10,3/10,9/10,21/10}, {1/14,1/14,1/14,5/14,5/14,5/14,13/14,29/14}, {0,0,1/7,2/7,2/7,2/7,6/7,15/7}, {-1/12,1/12,1/4,1/4,1/4,1/4,11/12,25/12}, {1/14,1/14,3/14,3/14,3/14,3/14,13/14,29/14}, {1/14,1/14,1/14,1/14,5/14,5/14,9/14,33/14}, {1/12,1/12,1/12,1/4,1/4,1/4,11/12,25/12}, {1/14,1/14,3/14,3/14,3/14,3/14,11/14,31/14}, {1/16,3/16,3/16,3/16,3/16,3/16,15/16,33/16}, {1/9,1/9,1/9,2/9,2/9,2/9,7/9,20/9}, {1/8,1/8,1/8,1/8,1/4,1/4,3/4,9/4}, {1/7,1/7,1/7,1/7,1/7,2/7,5/7,16/7}, {0,1/9,2/9,2/9,2/9,2/9,8/9,19/9}, {-1/16,1/16,1/16,5/16,5/16,9/16,11/16,37/16}, {-1/10,1/10,1/10,3/10,2/5,3/5,7/10,23/10}, {0,0,1/9,1/9,1/3,4/9,2/3,7/3}, {0,0,2/11,2/11,3/11,4/11,8/11,25/11}, {1/16,1/16,1/16,1/16,5/16,7/16,11/16,37/16}, {1/16,1/16,3/16,3/16,3/16,5/16,13/16,35/16}, {1/10,1/10,1/10,1/5,1/5,3/10,4/5,11/5}, {1/9,1/9,1/9,1/9,2/9,1/3,7/9,20/9}, {1/14,1/14,3/14,3/14,3/14,1/2,11/14,31/14}, {1/7,1/7,1/7,2/7,2/7,4/7,6/7,15/7}, {1/6,1/6,1/6,1/6,1/3,2/3,5/6,13/6}, {-1/14,1/14,1/14,1/14,5/14,1/2,9/14,33/14}, {0,0,0,1/6,1/3,1/2,2/3,7/3}, {1/11,1/11,1/11,1/11,3/11,4/11,7/11,26/11}, {1/18,1/18,1/6,1/6,5/18,5/18,5/6,13/6}, {1/11,1/11,1/11,2/11,3/11,3/11,9/11,24/11}, {1/22,1/22,3/22,7/22,7/22,7/22,19/22,47/22}, {1/20,1/20,3/20,1/4,1/4,1/4,17/20,43/20}, {0,1/9,1/9,1/3,1/3,1/3,8/9,19/9}, {1/30,1/30,1/6,1/6,3/10,3/10,7/10,23/10}, {0,1/6,1/6,1/6,1/6,1/3,5/6,13/6}, {0,1/7,1/7,1/7,2/7,2/7,6/7,15/7}, {0,1/8,1/8,1/4,1/4,1/4,7/8,17/8}, {-1/13,1/13,1/13,4/13,5/13,7/13,9/13,30/13}, {0,0,1/9,2/9,1/3,5/9,2/3,7/3}, {1/22,1/22,3/22,3/22,7/22,1/2,15/22,51/22}, {1/26,1/26,5/26,5/26,7/26,11/26,19/26,59/26}, {1/20,1/20,3/20,1/4,1/4,9/20,3/4,9/4}, {1/10,1/10,1/5,1/5,3/10,1/2,4/5,11/5}, {1/16,3/16,3/16,3/16,5/16,9/16,13/16,35/16}, {1/8,1/8,1/8,1/8,3/8,5/8,3/4,9/4}, {1/18,1/6,1/6,5/18,5/18,1/2,5/6,13/6}, {1/11,1/11,2/11,3/11,3/11,5/11,9/11,24/11}, {-1/11,1/11,1/11,2/11,4/11,6/11,7/11,26/11}, {-1/22,1/22,3/22,5/22,9/22,9/22,13/22,53/22}, {-1/22,1/22,5/22,5/22,9/22,1/2,13/22,53/22}, {-1/12,1/12,1/12,1/4,5/12,7/12,2/3,7/3}, {-1/20,1/20,1/20,1/4,7/20,11/20,13/20,47/20}, {-1/20,1/20,1/20,3/20,7/20,9/20,13/20,47/20}, {1/16,1/16,1/16,3/16,5/16,9/16,11/16,37/16}, {-1/15,1/15,1/15,1/5,1/3,2/5,3/5,12/5}, {-1/20,1/20,3/20,3/20,7/20,11/20,13/20,47/20}, {0,1/9,1/9,1/9,1/3,5/9,2/3,7/3}, {-1/24,1/24,5/24,3/8,3/8,13/24,5/8,19/8}, {1/9,1/9,1/9,2/9,1/3,5/9,7/9,20/9}, {1/32,1/32,5/32,5/32,9/32,11/32,23/32,73/32}, {-1/14,1/14,3/14,5/14,3/7,4/7,9/14,33/14}, {0,0,1/5,3/10,2/5,1/2,3/5,12/5}, {1/19,1/19,3/19,3/19,5/19,6/19,13/19,44/19}, {1/22,3/22,3/22,5/22,9/22,13/22,17/22,49/22}, {1/10,1/10,1/5,1/5,2/5,3/5,4/5,11/5}, {1/22,3/22,3/22,5/22,7/22,1/2,17/22,49/22}, {1/24,1/8,5/24,5/24,3/8,13/24,19/24,53/24}, {1/13,1/13,2/13,3/13,5/13,7/13,10/13,29/13}, {1/13,1/13,2/13,3/13,4/13,6/13,10/13,29/13}, {-1/26,1/26,3/26,5/26,9/26,1/2,17/26,61/26}, {-1/28,1/28,5/28,1/4,11/28,13/28,17/28,67/28}, {-1/15,1/15,1/5,4/15,2/5,8/15,3/5,12/5}, {-1/16,1/16,3/16,5/16,7/16,9/16,5/8,19/8}, {1/26,3/26,3/26,5/26,11/26,15/26,19/26,59/26}, {0,1/12,1/12,1/6,1/3,1/2,2/3,7/3}, {-1/20,1/20,1/10,1/5,3/10,2/5,3/5,12/5}, {-1/32,3/32,3/32,7/32,11/32,13/32,19/32,77/32}, {-1/38,3/38,3/38,7/38,11/38,15/38,23/38,91/38}, {-1/28,1/28,5/28,9/28,11/28,15/28,17/28,67/28}, {-1/17,1/17,2/17,4/17,6/17,7/17,10/17,41/17}, {-1/17,1/17,3/17,6/17,7/17,9/17,11/17,40/17}, {1/12,1/12,1/6,1/6,5/12,7/12,3/4,9/4}, {1/28,3/28,3/28,1/4,11/28,15/28,3/4,9/4}, {1/30,1/10,1/6,7/30,11/30,1/2,23/30,67/30}, {-1/42,1/14,5/42,3/14,13/42,17/42,25/42,101/42}, {-1/8,1/8,1/8,1/8,1/8,3/8,5/8,13/8}, {-1/10,1/10,1/10,1/10,3/10,3/10,7/10,17/10}, {-1/10,1/10,1/10,3/10,3/10,3/10,7/10,19/10}, {-1/12,1/12,1/12,1/4,1/4,1/4,3/4,7/4}, {0,0,0,0,0,1/3,2/3,5/3}, {0,0,0,0,1/4,1/4,3/4,7/4}, {0,0,0,1/3,1/3,1/3,2/3,5/3}, {0,0,1/6,1/6,1/3,1/3,2/3,5/3}, {0,0,1/5,1/5,1/5,2/5,3/5,8/5}, {0,0,1/4,1/4,1/4,1/4,3/4,7/4}, {0,0,1/3,1/3,1/3,1/3,1/3,5/3}, {1/12,1/12,1/12,1/4,1/4,5/12,7/12,19/12}, {1/10,1/10,1/10,3/10,3/10,1/2,1/2,17/10}, {1/8,1/8,1/8,1/8,3/8,3/8,5/8,13/8}, {1/4,1/4,1/4,1/4,1/4,1/4,3/4,7/4}, {0,1/7,1/7,2/7,2/7,3/7,3/7,12/7}, {-1/7,1/7,1/7,1/7,2/7,3/7,4/7,13/7}, {-1/18,1/18,1/6,1/6,5/18,7/18,11/18,31/18}, {-1/12,1/12,1/4,1/4,1/4,5/12,7/12,23/12}, {-1/16,3/16,3/16,3/16,5/16,7/16,9/16,31/16}, {-1/14,1/14,1/14,1/14,1/14,5/14,9/14,23/14}, {-1/20,1/20,3/20,3/20,1/4,7/20,13/20,33/20}, {-1/16,1/16,1/16,1/16,3/16,5/16,11/16,27/16}, {-1/22,1/22,3/22,3/22,7/22,7/22,15/22,37/22}, {-1/9,1/9,1/9,2/9,1/3,1/3,2/3,17/9}, {-1/16,1/16,3/16,5/16,5/16,5/16,11/16,31/16}, {-1/22,3/22,3/22,7/22,7/22,7/22,15/22,43/22}, {-1/11,1/11,1/11,2/11,3/11,3/11,8/11,19/11}, {-1/18,1/18,1/18,1/6,1/6,5/18,13/18,31/18}, {-1/14,1/14,1/14,3/14,3/14,5/14,11/14,25/14}, {-1/10,1/10,1/10,1/10,1/10,3/10,1/2,17/10}, {-1/10,1/10,1/10,1/10,3/10,3/10,1/2,19/10}, {0,0,1/7,1/7,2/7,2/7,4/7,12/7}, {1/12,1/12,1/12,1/4,1/4,5/12,5/12,7/4}, {1/6,1/6,1/6,1/6,1/6,1/6,1/2,11/6}, {0,0,0,0,1/7,2/7,5/7,12/7}, {0,0,1/9,1/9,2/9,1/3,2/3,5/3}, {1/14,1/14,1/14,1/14,3/14,5/14,9/14,23/14}, {-1/14,1/14,1/14,1/14,3/14,5/14,9/14,25/14}, {-1/14,1/14,1/14,3/14,3/14,5/14,9/14,27/14}, {-1/16,1/16,1/16,3/16,3/16,5/16,11/16,29/16}, {0,0,1/8,1/8,1/4,3/8,5/8,7/4}, {1/14,1/14,1/14,3/14,3/14,1/2,1/2,25/14}, {1/12,1/12,1/12,1/12,1/4,5/12,7/12,7/4}, {-1/12,1/12,1/12,1/4,1/4,5/12,3/4,23/12}, {0,0,0,0,1/5,2/5,4/5,9/5}, {-1/20,1/20,1/20,3/20,1/4,1/4,3/4,7/4}, {-1/16,1/16,1/16,3/16,5/16,5/16,11/16,31/16}, {-1/18,1/18,1/18,1/6,5/18,5/18,13/18,11/6}, {0,0,1/7,1/7,2/7,2/7,5/7,13/7}, {-1/12,1/12,1/12,1/12,1/4,5/12,7/12,19/12}, {0,0,0,0,1/5,2/5,3/5,8/5}, {0,0,1/7,1/7,2/7,3/7,4/7,11/7}, {1/16,1/16,1/16,3/16,5/16,7/16,9/16,25/16}, {-1/10,1/10,1/10,3/10,3/10,3/10,1/2,17/10}, {-1/12,1/12,1/12,1/4,1/4,5/12,7/12,7/4}, {-1/14,1/14,1/14,3/14,3/14,5/14,9/14,23/14}, {-1/14,1/14,1/14,3/14,5/14,5/14,9/14,25/14}, {-1/16,1/16,1/16,3/16,5/16,5/16,11/16,27/16}, {0,0,0,1/4,1/4,1/4,1/2,7/4}, {0,0,0,1/6,1/6,1/3,2/3,5/3}, {0,0,0,1/5,1/5,2/5,3/5,9/5}, {0,0,1/8,1/4,1/4,3/8,5/8,13/8}, {0,0,1/8,1/4,3/8,3/8,5/8,7/4}, {0,0,1/7,2/7,2/7,3/7,4/7,12/7}, {1/20,1/20,3/20,3/20,7/20,7/20,13/20,33/20}, {-1/14,1/14,3/14,3/14,3/14,5/14,1/2,23/14}, {-1/18,1/18,1/6,1/6,1/6,7/18,11/18,29/18}, {0,0,1/6,1/6,1/6,1/3,1/2,5/3}, {0,0,1/8,1/8,1/8,3/8,5/8,13/8}, {-1/16,1/16,3/16,3/16,5/16,5/16,11/16,29/16}, {-1/18,1/18,1/6,1/6,5/18,5/18,13/18,31/18}, {-1/18,1/18,1/6,5/18,5/18,5/18,13/18,11/6}, {0,0,1/7,1/7,1/7,2/7,5/7,12/7}, {0,0,1/6,1/6,1/6,1/3,2/3,11/6}, {0,0,1/5,1/5,1/5,2/5,4/5,9/5}, {0,0,1/8,1/8,1/4,1/4,3/4,7/4}, {0,0,1/7,2/7,2/7,2/7,5/7,12/7}, {0,0,2/7,2/7,2/7,3/7,3/7,12/7}, {-1/14,1/14,3/14,3/14,5/14,1/2,1/2,27/14}, {0,0,1/5,1/5,2/5,2/5,2/5,8/5}, {1/18,1/18,1/6,5/18,5/18,7/18,1/2,29/18}, {1/18,1/18,1/6,5/18,7/18,7/18,1/2,31/18}, {1/16,1/16,3/16,5/16,5/16,7/16,7/16,27/16}, {1/14,1/14,3/14,3/14,5/14,5/14,1/2,23/14}, {1/18,1/18,5/18,5/18,7/18,7/18,11/18,35/18}, {-1/18,1/6,1/6,5/18,5/18,7/18,11/18,35/18}, {0,1/8,1/8,1/4,1/4,3/8,1/2,13/8}, {0,1/10,1/10,1/5,1/5,2/5,3/5,8/5}, {1/14,1/14,1/14,3/14,3/14,5/14,1/2,23/14}, {1/18,1/18,1/18,1/6,1/6,7/18,11/18,29/18}, {1/22,1/22,3/22,5/22,5/22,9/22,13/22,35/22}, {1/18,1/18,1/18,5/18,7/18,7/18,11/18,31/18}, {1/20,1/20,1/4,1/4,9/20,9/20,11/20,39/20}, {0,1/8,1/8,1/4,1/4,1/2,1/2,7/4}, {1/18,1/18,1/6,5/18,5/18,1/2,1/2,31/18}, {1/11,1/11,1/11,3/11,4/11,5/11,6/11,19/11}, {1/9,1/9,1/9,2/9,1/3,4/9,5/9,5/3}, {0,1/6,1/6,1/6,1/3,1/3,1/2,5/3}, {0,1/7,1/7,1/7,2/7,3/7,4/7,12/7}, {0,1/8,1/8,1/8,1/4,3/8,5/8,13/8}, {0,1/9,1/9,1/9,1/3,1/3,2/3,5/3}, {1/10,1/10,1/10,1/10,3/10,3/10,1/2,17/10}, {1/14,1/14,1/14,3/14,5/14,5/14,9/14,23/14}, {1/18,1/18,1/6,1/6,5/18,7/18,11/18,29/18}, {1/16,1/16,3/16,3/16,5/16,7/16,9/16,27/16}, {1/10,1/10,1/10,1/5,3/10,2/5,3/5,8/5}, {1/12,1/12,1/12,1/12,5/12,5/12,7/12,9/4}, {0,1/5,1/5,1/5,1/5,2/5,3/5,9/5}, {0,1/6,1/6,1/6,1/6,1/3,2/3,5/3}, {0,1/6,1/6,1/6,1/3,1/3,2/3,11/6}, {0,1/7,1/7,1/7,2/7,2/7,5/7,12/7}, {0,1/7,1/7,2/7,2/7,2/7,5/7,13/7}, {1/10,1/10,1/10,1/10,1/10,3/10,7/10,17/10}, {1/8,1/8,1/8,1/8,1/8,3/8,5/8,15/8}, {1/6,1/6,1/6,1/6,1/6,1/2,5/6,11/6}, {1/12,1/12,1/12,1/12,1/4,1/4,3/4,7/4}, {1/10,1/10,1/10,1/10,3/10,3/10,7/10,19/10}, {1/10,1/10,1/10,3/10,3/10,3/10,7/10,17/10}, {1/16,1/16,3/16,3/16,5/16,5/16,11/16,27/16}, {1/14,1/14,3/14,3/14,5/14,5/14,9/14,25/14}, {1/10,1/10,3/10,3/10,3/10,3/10,7/10,19/10}, {1/16,3/16,3/16,5/16,5/16,5/16,11/16,31/16}, {1/14,3/14,3/14,3/14,5/14,5/14,9/14,27/14}, {1/12,1/4,1/4,1/4,1/4,5/12,7/12,23/12}, {1/8,1/8,1/4,1/4,3/8,3/8,5/8,15/8}, {1/6,1/6,1/6,1/6,1/3,1/3,2/3,2}, {1/6,1/6,1/6,1/3,1/3,1/3,2/3,11/6}, {1/5,1/5,1/5,1/5,1/5,2/5,3/5,2}, {0,1/11,1/11,3/11,4/11,4/11,6/11,19/11}, {0,1/11,2/11,3/11,3/11,5/11,5/11,19/11}, {1/26,3/26,3/26,7/26,9/26,11/26,1/2,45/26}, {1/22,3/22,3/22,5/22,7/22,9/22,1/2,37/22}, {0,1/10,1/5,1/5,3/10,2/5,1/2,17/10}, {-1/12,1/12,1/6,1/6,1/3,5/12,7/12,11/6}, {-1/10,1/10,1/5,1/5,3/10,2/5,3/5,19/10}, {-1/16,1/16,3/16,5/16,5/16,7/16,9/16,31/16}, {-1/28,5/28,5/28,1/4,9/28,11/28,17/28,55/28}, {0,1/12,1/12,1/4,1/3,5/12,7/12,7/4}, {1/28,3/28,3/28,1/4,9/28,13/28,15/28,7/4}, {0,1/14,1/7,1/7,2/7,5/14,9/14,23/14}, {-1/13,2/13,2/13,3/13,4/13,5/13,8/13,25/13}, {-1/22,3/22,3/22,5/22,7/22,9/22,13/22,41/22}, {-1/12,1/12,1/6,1/4,1/3,1/3,2/3,23/12}, {-1/14,1/14,1/14,1/7,3/14,2/7,5/7,12/7}, {-1/26,1/26,1/26,3/26,5/26,7/26,19/26,45/26}, {-1/22,1/22,1/22,3/22,5/22,7/22,17/22,39/22}, {-1/11,1/11,1/11,3/11,4/11,6/11,7/11,25/11}, {-1/14,1/14,1/14,3/14,3/14,5/14,1/2,25/14}, {-1/20,1/20,3/20,3/20,1/4,7/20,11/20,7/4}, {-1/14,1/14,3/14,3/14,3/14,5/14,1/2,27/14}, {-1/18,1/6,1/6,1/6,5/18,7/18,1/2,35/18}, {0,1/6,1/6,1/6,1/6,1/3,1/2,11/6}, {-1/14,1/14,1/14,1/14,3/14,5/14,1/2,23/14}, {-1/16,1/16,1/16,3/16,3/16,5/16,9/16,27/16}, {-1/20,1/20,3/20,3/20,3/20,7/20,11/20,33/20}, {0,1/7,1/7,1/7,1/7,2/7,4/7,12/7}, {-1/8,1/8,1/8,1/8,1/4,3/8,1/2,15/8}, {-1/14,1/14,1/14,1/14,3/14,5/14,1/2,27/14}, {-1/16,1/16,3/16,3/16,5/16,5/16,9/16,31/16}, {0,1/11,1/11,2/11,4/11,4/11,6/11,20/11}, {0,1/9,1/9,2/9,1/3,1/3,5/9,17/9}, {-1/12,1/12,1/12,1/12,1/12,5/12,5/12,23/12}, {0,0,1/7,1/7,1/7,3/7,3/7,13/7}, {1/18,1/18,1/18,1/6,5/18,7/18,1/2,11/6}, {1/20,1/20,1/20,1/4,7/20,7/20,11/20,7/4}, {-1/22,1/22,3/22,3/22,5/22,7/22,13/22,37/22}, {-1/20,1/20,3/20,3/20,7/20,7/20,11/20,37/20}, {1/20,1/20,3/20,1/4,1/4,9/20,9/20,7/4}, {1/18,1/18,1/6,1/6,5/18,7/18,1/2,31/18}, {-1/16,1/16,3/16,3/16,5/16,7/16,7/16,31/16}, {1/20,1/20,1/4,1/4,7/20,7/20,11/20,39/20}, {1/16,1/16,3/16,5/16,5/16,5/16,9/16,31/16}, {-1/20,3/20,3/20,1/4,1/4,7/20,11/20,39/20}, {-1/22,3/22,3/22,5/22,7/22,7/22,13/22,43/22}, {1/24,1/8,5/24,5/24,3/8,3/8,13/24,47/24}, {1/20,3/20,3/20,1/4,7/20,7/20,11/20,39/20}, {0,1/11,1/11,2/11,2/11,4/11,6/11,18/11}, {1/12,1/12,1/12,1/4,1/3,5/12,1/2,7/4}, {1/18,1/18,1/6,1/6,5/18,7/18,1/2,35/18}, {1/22,1/22,5/22,5/22,9/22,9/22,1/2,43/22}, {0,1/9,1/9,2/9,2/9,4/9,4/9,16/9}, {0,1/8,1/8,1/8,1/4,3/8,1/2,7/4}, {0,1/9,1/9,1/9,2/9,1/3,5/9,5/3}, {1/10,1/10,1/10,1/5,3/10,2/5,1/2,17/10}, {1/12,1/12,1/12,1/4,1/4,1/4,7/12,7/4}, {1/14,3/14,3/14,3/14,3/14,5/14,1/2,27/14}, {1/7,1/7,1/7,2/7,2/7,2/7,4/7,13/7}, {0,0,1/11,1/11,2/11,3/11,8/11,19/11}, {1/18,1/18,1/18,1/18,1/6,5/18,13/18,31/18}, {-1/9,1/9,1/9,1/9,2/9,4/9,5/9,17/9}, {-1/22,1/22,3/22,3/22,5/22,9/22,13/22,39/22}, {-1/16,1/16,3/16,3/16,3/16,7/16,9/16,31/16}, {-1/22,3/22,3/22,5/22,5/22,9/22,13/22,43/22}, {0,1/9,1/9,1/9,2/9,4/9,5/9,16/9}, {-1/18,1/18,1/18,1/6,5/18,7/18,11/18,11/6}, {-1/20,1/20,3/20,3/20,1/4,7/20,13/20,37/20}, {0,1/8,1/8,1/8,1/4,3/8,5/8,15/8}, {-1/26,1/26,3/26,3/26,7/26,9/26,17/26,45/26}, {-1/22,1/22,3/22,3/22,5/22,7/22,15/22,39/22}, {-1/11,1/11,1/11,2/11,3/11,4/11,7/11,21/11}, {-1/22,1/22,3/22,5/22,5/22,7/22,15/22,41/22}, {-1/20,1/20,3/20,1/4,1/4,7/20,13/20,39/20}, {-1/26,3/26,3/26,7/26,7/26,9/26,17/26,51/26}, {-1/13,1/13,1/13,2/13,3/13,4/13,9/13,23/13}, {1/14,1/14,1/14,3/14,3/14,5/14,1/2,27/14}, {-1/20,1/20,1/20,3/20,1/4,7/20,13/20,39/20}, {-1/22,1/22,1/22,3/22,5/22,7/22,15/22,41/22}, {0,0,1/9,1/9,2/9,1/3,2/3,17/9}, {-1/16,1/16,1/16,3/16,3/16,7/16,9/16,29/16}, {-1/20,1/20,1/20,3/20,1/4,7/20,13/20,7/4}, {0,0,1/8,1/8,1/4,3/8,1/2,15/8}, {-1/20,3/20,3/20,3/20,1/4,9/20,11/20,39/20}, {1/22,1/22,1/22,5/22,7/22,9/22,13/22,39/22}, {1/13,1/13,1/13,3/13,4/13,6/13,7/13,23/13}, {0,1/11,1/11,1/11,3/11,4/11,7/11,19/11}, {0,1/7,1/7,1/7,1/7,3/7,4/7,13/7}, {0,1/9,1/9,1/9,2/9,1/3,2/3,16/9}, {0,1/9,1/9,2/9,2/9,1/3,2/3,17/9}, {1/14,1/14,1/14,1/14,3/14,5/14,9/14,27/14}, {1/20,3/20,3/20,1/4,1/4,7/20,13/20,39/20}, {1/18,1/6,1/6,1/6,5/18,7/18,11/18,35/18}, {0,0,1/9,1/9,2/9,1/3,7/9,16/9}, {1/14,1/14,1/14,1/14,3/14,5/14,11/14,25/14}, {0,0,1/8,1/8,1/4,3/8,3/4,15/8}, {1/12,1/12,1/12,1/12,1/4,5/12,3/4,23/12}, {0,0,1/8,1/8,3/8,1/2,5/8,9/4}, {1/14,1/14,1/14,1/14,5/14,1/2,9/14,31/14}, {0,0,2/9,2/9,1/3,4/9,2/3,19/9}, {-1/18,1/18,1/6,5/18,5/18,7/18,13/18,35/18}, {1/7,1/7,1/7,1/7,2/7,3/7,5/7,2}, {1/7,1/7,1/7,1/7,2/7,4/7,5/7,15/7}, {1/18,1/6,1/6,5/18,5/18,1/2,13/18,37/18}, {-1/18,1/18,1/18,1/6,5/18,7/18,13/18,35/18}, {-1/20,1/20,1/20,3/20,1/4,7/20,3/4,37/20}, {0,1/10,1/10,1/5,3/10,2/5,1/2,8/5}, {-1/18,1/18,1/18,1/18,1/6,7/18,11/18,29/18}, {-1/22,1/22,3/22,3/22,5/22,9/22,13/22,35/22}, {0,0,1/8,1/8,1/4,3/8,1/2,13/8}, {1/18,1/18,1/18,1/6,5/18,7/18,1/2,29/18}, {-1/18,1/18,1/6,1/6,5/18,7/18,1/2,29/18}, {0,0,1/10,1/10,1/5,2/5,3/5,8/5}, {0,1/12,1/12,1/6,1/4,5/12,7/12,19/12}, {1/22,1/22,1/22,3/22,5/22,9/22,13/22,35/22}, {1/26,1/26,3/26,5/26,7/26,11/26,15/26,41/26}, {-1/13,1/13,1/13,3/13,5/13,6/13,7/13,30/13}, {-1/18,1/18,1/18,1/6,7/18,1/2,11/18,41/18}, {-1/20,1/20,3/20,1/4,9/20,9/20,11/20,47/20}, {0,1/12,1/12,1/6,5/12,5/12,7/12,9/4}, {0,1/9,1/9,2/9,1/3,1/3,5/9,5/3}, {-1/22,1/22,3/22,5/22,7/22,9/22,13/22,39/22}, {-1/20,1/20,3/20,1/4,1/4,9/20,11/20,7/4}, {-1/20,1/20,1/20,3/20,3/20,7/20,13/20,33/20}, {-1/24,1/24,1/8,5/24,3/8,3/8,5/8,43/24}, {0,1/13,1/13,3/13,5/13,5/13,8/13,23/13}, {-1/22,1/22,1/22,3/22,5/22,7/22,15/22,37/22}, {0,0,1/9,2/9,1/3,1/3,5/9,16/9}, {0,0,1/8,1/4,1/4,3/8,1/2,7/4}, {-1/20,1/20,3/20,1/4,1/4,7/20,11/20,33/20}, {-1/24,1/24,1/8,5/24,5/24,3/8,5/8,13/8}, {0,0,1/9,2/9,2/9,1/3,5/9,5/3}, {0,0,1/11,2/11,2/11,4/11,7/11,18/11}, {0,0,1/10,1/5,3/10,2/5,3/5,9/5}, {1/28,1/28,3/28,1/4,11/28,11/28,17/28,7/4}, {-1/18,1/18,1/6,5/18,5/18,7/18,1/2,31/18}, {0,0,1/9,2/9,2/9,4/9,5/9,16/9}, {0,1/10,1/10,1/5,3/10,2/5,3/5,17/10}, {0,1/11,1/11,2/11,3/11,4/11,7/11,18/11}, {1/20,1/20,1/20,3/20,1/4,7/20,13/20,33/20}, {1/18,1/18,1/18,1/6,5/18,7/18,11/18,31/18}, {1/24,1/24,1/8,5/24,7/24,3/8,5/8,13/8}, {1/22,1/22,3/22,5/22,7/22,9/22,13/22,37/22}, {-1/20,3/20,3/20,1/4,7/20,9/20,11/20,39/20}, {-1/26,1/26,3/26,3/26,5/26,9/26,17/26,43/26}, {1/22,1/22,3/22,3/22,7/22,7/22,13/22,37/22}, {-1/28,1/28,3/28,3/28,1/4,9/28,19/28,47/28}, {1/26,1/26,3/26,3/26,7/26,9/26,17/26,43/26}, {-1/13,1/13,2/13,3/13,4/13,4/13,9/13,24/13}, {-1/24,1/24,1/8,1/8,5/24,7/24,17/24,41/24}, {-1/24,1/24,1/8,5/24,7/24,7/24,17/24,41/24}, {0,0,1/10,1/5,1/5,3/10,7/10,17/10}, {-1/20,1/20,3/20,1/4,1/4,7/20,3/4,37/20}, {-1/24,1/24,1/8,5/24,7/24,7/24,17/24,15/8}, {-1/22,1/22,3/22,5/22,7/22,7/22,15/22,39/22}, {0,0,1/9,2/9,2/9,1/3,2/3,16/9}, {1/26,1/26,3/26,7/26,9/26,11/26,15/26,45/26}, {-1/18,1/18,1/6,1/6,5/18,1/2,1/2,35/18}, {1/26,1/26,5/26,7/26,9/26,11/26,1/2,45/26}, {1/22,1/22,3/22,5/22,7/22,9/22,1/2,35/22}, {1/14,1/14,1/7,2/7,5/14,3/7,1/2,12/7}, {1/12,1/12,1/6,1/4,1/3,5/12,1/2,5/3}, {1/13,1/13,2/13,3/13,4/13,5/13,7/13,21/13}, {-1/22,1/22,3/22,5/22,7/22,7/22,15/22,43/22}, {-1/22,3/22,5/22,5/22,7/22,9/22,13/22,43/22}, {1/28,3/28,1/4,1/4,11/28,11/28,17/28,55/28}, {0,1/12,1/4,1/4,1/3,5/12,7/12,23/12}, {1/22,1/22,5/22,5/22,7/22,9/22,13/22,43/22}, {1/22,1/22,5/22,7/22,9/22,9/22,13/22,43/22}, {1/26,3/26,7/26,7/26,9/26,11/26,15/26,51/26}, {1/13,1/13,3/13,4/13,5/13,5/13,8/13,25/13}, {1/12,1/12,1/4,1/4,1/3,5/12,7/12,2}, {0,1/10,1/5,3/10,3/10,2/5,3/5,19/10}, {1/22,3/22,5/22,7/22,7/22,9/22,13/22,43/22}, {1/12,1/12,1/4,1/4,1/4,7/12,3/4,25/12}, {-1/15,2/15,2/15,4/15,1/3,1/3,2/3,29/15}, {-1/24,1/8,1/8,7/24,7/24,3/8,17/24,47/24}, {-1/28,3/28,3/28,1/4,9/28,9/28,19/28,55/28}, {1/22,3/22,3/22,5/22,7/22,7/22,15/22,43/22}, {1/12,1/6,1/6,1/4,1/3,1/3,2/3,2}, {-1/24,1/8,5/24,5/24,3/8,11/24,13/24,47/24}, {1/28,3/28,1/4,1/4,11/28,13/28,15/28,55/28}, {0,1/13,2/13,3/13,3/13,5/13,7/13,21/13}, {1/24,1/24,1/8,5/24,5/24,3/8,13/24,13/8}, {-1/26,3/26,3/26,5/26,9/26,11/26,15/26,47/26}, {0,1/13,3/13,3/13,5/13,6/13,7/13,25/13}, {1/24,1/24,5/24,5/24,3/8,11/24,13/24,47/24}, {1/30,1/10,7/30,7/30,13/30,13/30,17/30,59/30}, {1/30,1/6,7/30,7/30,11/30,13/30,17/30,59/30}, {1/24,1/8,1/8,5/24,7/24,11/24,13/24,41/24}, {1/15,1/15,2/15,4/15,1/3,7/15,8/15,26/15}, {1/11,1/11,1/11,2/11,3/11,5/11,6/11,19/11}, {0,1/11,2/11,2/11,3/11,4/11,6/11,18/11}, {1/24,1/8,1/8,5/24,7/24,3/8,13/24,13/8}, {0,1/11,1/11,1/11,2/11,4/11,7/11,18/11}, {0,1/13,2/13,2/13,3/13,5/13,8/13,21/13}, {1/28,3/28,3/28,5/28,1/4,11/28,17/28,45/28}, {1/16,1/16,1/16,3/16,5/16,5/16,9/16,27/16}, {1/20,1/20,3/20,3/20,1/4,7/20,11/20,33/20}, {0,1/12,1/12,1/12,1/4,1/3,2/3,5/3}, {1/24,1/24,1/8,1/8,5/24,3/8,5/8,13/8}, {0,1/13,2/13,2/13,4/13,5/13,8/13,22/13}, {1/24,1/24,1/8,1/8,7/24,3/8,5/8,41/24}, {0,1/11,2/11,2/11,3/11,5/11,6/11,19/11}, {1/20,1/20,3/20,3/20,1/4,9/20,11/20,7/4}, {1/11,1/11,1/11,2/11,3/11,4/11,6/11,18/11}, {1/13,1/13,1/13,2/13,3/13,5/13,8/13,21/13}, {1/15,1/15,2/15,1/5,4/15,2/5,3/5,8/5}, {1/13,1/13,2/13,3/13,4/13,6/13,7/13,22/13}, {1/22,1/22,3/22,3/22,9/22,9/22,13/22,49/22}, {1/24,1/24,5/24,5/24,3/8,3/8,5/8,17/8}, {1/26,5/26,5/26,7/26,9/26,11/26,15/26,51/26}, {1/9,1/9,1/9,1/9,1/3,4/9,5/9,20/9}, {1/9,2/9,2/9,2/9,2/9,4/9,5/9,2}, {1/13,1/13,3/13,3/13,5/13,6/13,7/13,2}, {1/6,1/6,1/6,1/6,5/18,7/18,11/18,37/18}, {1/11,2/11,2/11,3/11,3/11,4/11,7/11,2}, {1/10,1/5,1/5,1/5,3/10,2/5,3/5,2}, {0,1/8,1/8,1/4,1/4,3/8,5/8,7/4}, {0,1/11,2/11,2/11,3/11,4/11,7/11,19/11}, {1/18,1/6,1/6,5/18,5/18,7/18,11/18,11/6}, {0,1/9,1/9,2/9,2/9,1/3,2/3,5/3}, {0,1/9,2/9,2/9,1/3,1/3,2/3,17/9}, {0,1/10,1/10,1/5,3/10,3/10,7/10,17/10}, {0,1/13,2/13,2/13,4/13,4/13,9/13,22/13}, {-1/22,3/22,3/22,5/22,7/22,7/22,15/22,41/22}, {0,1/8,1/8,1/4,1/4,3/8,3/4,15/8}, {0,1/10,1/5,3/10,3/10,3/10,7/10,19/10}, {1/9,1/9,2/9,2/9,1/3,1/3,5/9,17/9}, {0,1/9,1/9,1/9,1/9,1/3,2/3,5/3}, {0,1/10,1/10,1/10,1/5,3/10,7/10,17/10}, {1/14,1/14,1/14,3/14,3/14,5/14,9/14,25/14}, {1/8,1/8,1/8,1/4,1/4,3/8,5/8,15/8}, {0,1/10,1/10,1/5,3/10,3/10,7/10,19/10}, {0,1/9,1/9,2/9,1/3,1/3,2/3,16/9}, {1/16,1/16,1/16,3/16,3/16,5/16,11/16,27/16}, {0,1/12,1/6,1/6,1/4,1/3,2/3,5/3}, {1/18,1/18,1/6,1/6,5/18,5/18,11/18,31/18}, {1/22,1/22,3/22,3/22,5/22,7/22,15/22,37/22}, {1/20,1/20,3/20,3/20,1/4,7/20,13/20,7/4}, {0,1/10,1/5,1/5,3/10,2/5,3/5,9/5}, {0,1/11,2/11,2/11,4/11,4/11,7/11,20/11}, {1/16,1/16,3/16,3/16,5/16,5/16,9/16,29/16}, {1/18,1/18,1/6,1/6,5/18,7/18,11/18,11/6}, {1/20,1/20,3/20,1/4,7/20,7/20,13/20,7/4}, {1/14,1/14,3/14,3/14,3/14,5/14,9/14,27/14}, {1/12,1/12,1/4,1/4,1/4,5/12,3/4,23/12}, {1/16,1/16,3/16,3/16,5/16,5/16,11/16,31/16}, {1/20,3/20,1/4,1/4,7/20,7/20,13/20,39/20}, {1/9,1/9,2/9,2/9,1/3,1/3,2/3,2}, {1/9,1/9,2/9,1/3,1/3,1/3,2/3,17/9}, {1/18,1/6,1/6,5/18,5/18,7/18,13/18,35/18}, {1/26,5/26,5/26,7/26,9/26,9/26,17/26,51/26}, {1/13,2/13,3/13,3/13,5/13,5/13,8/13,25/13}, {1/11,2/11,2/11,3/11,4/11,4/11,7/11,21/11}, {1/10,1/5,1/5,3/10,3/10,2/5,3/5,19/10}, {1/22,3/22,5/22,5/22,7/22,9/22,13/22,41/22}, {1/10,1/10,1/5,1/5,3/10,2/5,3/5,19/10}, {1/12,1/6,1/4,1/4,1/3,5/12,7/12,23/12}, {3/22,3/22,5/22,5/22,7/22,9/22,13/22,43/22}, {1/20,3/20,3/20,1/4,7/20,7/20,13/20,37/20}, {1/11,1/11,2/11,3/11,4/11,4/11,7/11,20/11}, {1/8,1/8,1/4,1/4,1/4,3/8,5/8,2}, {1/6,1/6,1/6,5/18,5/18,7/18,11/18,35/18}, {0,1/15,2/15,4/15,1/3,2/5,8/15,26/15}, {1/34,3/34,5/34,9/34,11/34,15/34,1/2,59/34}, {1/30,1/10,1/6,7/30,3/10,13/30,1/2,17/10}, {0,1/17,2/17,4/17,6/17,7/17,10/17,30/17}, {0,1/16,1/8,1/4,5/16,7/16,9/16,7/4}, {1/26,3/26,3/26,5/26,9/26,1/2,17/26,57/26}, {-1/13,1/13,2/13,2/13,4/13,5/13,7/13,24/13}, {-1/11,1/11,2/11,2/11,3/11,4/11,6/11,21/11}, {-1/24,1/8,1/8,5/24,7/24,3/8,13/24,15/8}, {0,1/10,1/10,1/5,1/5,2/5,1/2,19/10}, {-1/18,1/18,1/6,5/18,5/18,7/18,1/2,35/18}, {0,1/12,1/6,1/6,1/4,1/3,7/12,7/4}, {-1/22,1/22,3/22,3/22,5/22,9/22,1/2,41/22}, {0,1/11,2/11,2/11,3/11,4/11,6/11,20/11}, {-1/26,3/26,5/26,5/26,9/26,11/26,1/2,51/26}, {0,1/13,3/13,3/13,4/13,5/13,7/13,25/13}, {-1/24,1/8,5/24,5/24,7/24,3/8,13/24,47/24}, {0,1/14,3/14,3/14,5/14,3/7,1/2,27/14}, {0,1/11,2/11,3/11,3/11,4/11,6/11,21/11}, {0,1/9,1/9,2/9,2/9,1/3,5/9,16/9}, {1/24,1/8,5/24,5/24,7/24,3/8,13/24,15/8}, {1/20,3/20,3/20,1/4,1/4,7/20,11/20,37/20}, {0,1/13,2/13,2/13,3/13,4/13,8/13,22/13}, {-1/26,1/26,3/26,5/26,5/26,9/26,15/26,43/26}, {0,1/10,1/10,1/5,1/5,3/10,3/5,17/10}, {-1/20,1/20,3/20,3/20,1/4,7/20,11/20,39/20}, {-1/26,3/26,3/26,5/26,7/26,9/26,15/26,51/26}, {0,1/11,1/11,2/11,3/11,4/11,6/11,21/11}, {-1/24,1/24,1/8,1/8,7/24,3/8,13/24,15/8}, {0,1/14,1/7,3/14,5/14,5/14,4/7,13/7}, {0,1/12,1/6,1/4,1/3,1/3,7/12,23/12}, {-1/16,1/16,1/16,3/16,3/16,7/16,7/16,31/16}, {0,1/12,1/6,1/6,1/4,5/12,1/2,23/12}, {1/28,1/28,3/28,5/28,9/28,11/28,15/28,51/28}, {1/13,1/13,2/13,3/13,4/13,5/13,7/13,25/13}, {-1/24,1/24,1/8,1/8,5/24,3/8,13/24,13/8}, {0,1/13,1/13,2/13,3/13,5/13,7/13,21/13}, {-1/22,1/22,3/22,5/22,5/22,9/22,1/2,39/22}, {0,1/13,1/13,3/13,4/13,5/13,7/13,23/13}, {-1/22,3/22,3/22,5/22,7/22,9/22,1/2,43/22}, {-1/24,1/24,1/8,5/24,7/24,3/8,13/24,43/24}, {1/24,1/24,1/8,5/24,7/24,3/8,13/24,15/8}, {1/30,1/30,1/10,7/30,11/30,11/30,17/30,53/30}, {1/26,1/26,3/26,5/26,7/26,11/26,1/2,47/26}, {1/28,1/28,3/28,1/4,9/28,11/28,15/28,7/4}, {1/16,1/16,1/8,1/4,5/16,7/16,1/2,7/4}, {1/14,1/14,1/7,3/14,2/7,3/7,1/2,12/7}, {1/24,1/24,5/24,7/24,3/8,3/8,13/24,47/24}, {1/14,1/14,3/14,2/7,5/14,5/14,4/7,27/14}, {-1/14,1/7,1/7,3/14,2/7,5/14,4/7,27/14}, {-1/30,1/6,1/6,7/30,3/10,11/30,17/30,59/30}, {1/24,1/8,1/8,5/24,7/24,3/8,13/24,47/24}, {1/28,3/28,5/28,1/4,11/28,11/28,15/28,55/28}, {1/28,3/28,5/28,5/28,9/28,11/28,15/28,55/28}, {1/26,3/26,5/26,7/26,9/26,9/26,15/26,51/26}, {1/28,3/28,1/4,1/4,9/28,11/28,15/28,55/28}, {1/32,5/32,7/32,7/32,11/32,13/32,17/32,63/32}, {1/28,5/28,5/28,1/4,9/28,11/28,15/28,55/28}, {1/30,1/10,7/30,7/30,11/30,13/30,1/2,59/30}, {1/24,1/8,5/24,7/24,7/24,3/8,13/24,47/24}, {1/13,2/13,3/13,3/13,4/13,5/13,7/13,25/13}, {1/11,2/11,2/11,3/11,3/11,4/11,6/11,21/11}, {1/30,1/10,1/10,1/6,7/30,11/30,17/30,49/30}, {-1/28,3/28,3/28,5/28,9/28,11/28,15/28,51/28}, {0,1/13,1/13,2/13,4/13,5/13,7/13,24/13}, {0,1/12,1/12,1/6,1/4,5/12,1/2,11/6}, {1/22,1/22,3/22,5/22,7/22,9/22,1/2,43/22}, {1/16,1/8,3/16,1/4,3/8,3/8,9/16,31/16}, {1/30,1/10,1/10,7/30,3/10,13/30,1/2,53/30}, {1/26,3/26,3/26,5/26,7/26,11/26,1/2,45/26}, {0,1/11,1/11,2/11,3/11,4/11,6/11,19/11}, {0,1/12,1/12,1/6,1/4,1/3,7/12,5/3}, {0,1/14,1/7,1/7,2/7,5/14,4/7,12/7}, {0,1/15,2/15,2/15,4/15,1/3,3/5,5/3}, {0,1/14,1/7,1/7,3/14,5/14,4/7,23/14}, {0,1/12,1/6,1/6,1/4,5/12,1/2,7/4}, {-1/12,1/12,1/6,1/6,1/4,5/12,7/12,23/12}, {-1/14,1/14,1/7,1/7,2/7,3/7,4/7,13/7}, {0,1/15,1/5,1/5,1/3,7/15,8/15,29/15}, {-1/15,2/15,2/15,1/5,4/15,2/5,3/5,29/15}, {-1/32,5/32,5/32,7/32,9/32,13/32,19/32,63/32}, {-1/26,3/26,5/26,5/26,7/26,11/26,15/26,51/26}, {-1/30,1/10,1/10,1/6,3/10,13/30,17/30,11/6}, {-1/26,3/26,3/26,5/26,7/26,11/26,15/26,49/26}, {-1/15,1/15,2/15,1/5,4/15,1/3,2/3,28/15}, {-1/14,1/14,1/7,3/14,2/7,5/14,9/14,27/14}, {-1/28,1/28,3/28,5/28,1/4,9/28,19/28,53/28}, {-1/26,1/26,3/26,5/26,7/26,9/26,17/26,51/26}, {-1/17,2/17,2/17,4/17,5/17,6/17,11/17,33/17}, {-1/32,3/32,3/32,7/32,9/32,11/32,21/32,63/32}, {1/26,3/26,3/26,5/26,7/26,9/26,17/26,51/26}, {0,1/12,1/12,1/6,1/4,1/3,2/3,23/12}, {-1/26,1/26,3/26,5/26,7/26,9/26,17/26,47/26}, {-1/28,1/28,3/28,5/28,1/4,9/28,19/28,7/4}, {0,1/14,1/14,3/14,2/7,3/7,4/7,25/14}, {1/32,1/32,3/32,7/32,11/32,13/32,19/32,57/32}, {0,1/12,1/12,1/6,1/4,5/12,7/12,7/4}, {0,1/10,1/10,1/5,1/5,2/5,3/5,9/5}, {0,1/12,1/12,1/6,1/4,1/3,2/3,7/4}, {-1/20,1/20,3/20,1/4,1/4,9/20,11/20,39/20}, {0,1/13,2/13,2/13,3/13,5/13,8/13,23/13}, {-1/26,1/26,3/26,5/26,7/26,11/26,15/26,47/26}, {-1/28,1/28,3/28,5/28,9/28,11/28,17/28,51/28}, {0,1/12,1/6,1/6,1/4,5/12,7/12,11/6}, {1/30,1/30,1/10,7/30,3/10,13/30,17/30,53/30}, {1/32,3/32,7/32,7/32,11/32,13/32,19/32,63/32}, {1/13,2/13,2/13,3/13,4/13,5/13,8/13,25/13}, {0,1/15,1/15,1/5,1/3,2/5,3/5,9/5}, {0,1/14,3/14,3/14,2/7,3/7,4/7,27/14}, {1/15,2/15,1/5,1/5,1/3,2/5,3/5,29/15}, {1/26,3/26,5/26,5/26,7/26,11/26,15/26,49/26}, {0,1/15,2/15,2/15,4/15,2/5,3/5,26/15}, {0,1/12,1/6,1/4,1/4,5/12,7/12,23/12}, {1/24,1/8,1/8,5/24,7/24,3/8,5/8,15/8}, {0,1/11,1/11,2/11,3/11,4/11,7/11,20/11}, {0,1/11,2/11,2/11,3/11,4/11,7/11,21/11}, {0,1/15,2/15,2/15,4/15,1/3,2/3,26/15}, {-1/26,3/26,3/26,5/26,7/26,9/26,17/26,49/26}, {0,1/13,2/13,2/13,4/13,5/13,8/13,24/13}, {0,1/12,1/6,1/4,1/4,1/3,2/3,23/12}, {1/30,1/6,1/6,7/30,3/10,11/30,19/30,59/30}, {1/24,1/8,5/24,5/24,7/24,3/8,5/8,47/24}, {1/22,3/22,3/22,5/22,5/22,9/22,13/22,41/22}, {-1/26,1/26,3/26,5/26,7/26,9/26,19/26,49/26}, {0,1/11,1/11,2/11,3/11,4/11,8/11,21/11}, {-1/24,1/24,1/8,5/24,7/24,3/8,17/24,47/24}, {0,1/15,2/15,1/5,4/15,2/5,8/15,8/5}, {1/28,1/28,3/28,5/28,1/4,11/28,15/28,45/28}, {-1/15,1/15,2/15,4/15,2/5,7/15,8/15,7/3}, {-1/17,1/17,2/17,4/17,6/17,8/17,9/17,39/17}, {-1/26,1/26,5/26,7/26,11/26,1/2,15/26,61/26}, {-1/32,3/32,3/32,7/32,11/32,15/32,17/32,73/32}, {0,1/11,1/11,2/11,4/11,6/11,7/11,25/11}, {-1/28,1/28,3/28,5/28,11/28,13/28,17/28,9/4}, {-1/24,1/24,1/8,5/24,3/8,13/24,5/8,55/24}, {0,1/13,1/13,2/13,5/13,6/13,8/13,29/13}, {1/30,1/10,1/10,1/6,11/30,13/30,17/30,67/30}, {-1/28,3/28,3/28,1/4,11/28,13/28,15/28,65/28}, {1/24,1/24,1/8,5/24,7/24,3/8,13/24,41/24}, {1/26,1/26,3/26,5/26,7/26,9/26,15/26,43/26}, {0,1/14,1/7,3/14,2/7,5/14,4/7,23/14}, {0,1/13,2/13,3/13,4/13,5/13,7/13,22/13}, {0,1/14,1/7,3/14,2/7,3/7,4/7,12/7}, {0,1/14,1/14,1/7,3/14,5/14,9/14,23/14}, {0,1/16,1/8,3/16,1/4,3/8,5/8,13/8}, {1/30,1/30,1/10,1/6,7/30,11/30,19/30,49/30}, {1/26,1/26,3/26,5/26,7/26,11/26,15/26,45/26}, {-1/24,1/8,1/8,5/24,7/24,11/24,13/24,47/24}, {0,1/17,2/17,2/17,4/17,6/17,11/17,28/17}, {-1/26,1/26,5/26,7/26,9/26,11/26,17/26,55/26}, {-1/30,1/30,1/10,1/6,7/30,3/10,7/10,17/10}, {-1/28,3/28,5/28,5/28,9/28,13/28,15/28,55/28}, {1/34,3/34,7/34,7/34,13/34,15/34,19/34,67/34}, {1/18,1/9,2/9,2/9,7/18,4/9,5/9,2}, {-1/28,3/28,5/28,1/4,9/28,11/28,17/28,53/28}, {1/20,1/20,3/20,1/4,1/4,7/20,11/20,39/20}, {1/32,3/32,7/32,9/32,13/32,13/32,19/32,63/32}, {-1/26,3/26,5/26,7/26,9/26,11/26,15/26,51/26}, {1/32,5/32,7/32,9/32,11/32,13/32,19/32,63/32}, {0,1/14,3/14,2/7,5/14,3/7,4/7,27/14}, {1/32,3/32,7/32,9/32,11/32,13/32,19/32,61/32}, {1/26,1/26,5/26,7/26,9/26,11/26,15/26,51/26}, {1/15,1/15,1/5,4/15,1/3,2/5,3/5,29/15}, {1/17,2/17,4/17,5/17,6/17,7/17,10/17,33/17}, {3/32,3/32,7/32,9/32,11/32,13/32,19/32,63/32}, {1/10,1/10,1/5,1/5,3/10,1/2,7/10,21/10}, {1/18,1/9,2/9,5/18,7/18,7/18,11/18,35/18}, {0,1/10,1/5,3/10,3/10,1/2,7/10,21/10}, {-1/15,1/15,1/5,1/3,2/5,8/15,3/5,7/3}, {-1/30,1/10,1/10,7/30,3/10,11/30,7/10,59/30}, {1/24,1/8,1/8,5/24,7/24,3/8,17/24,47/24}, {1/34,5/34,7/34,9/34,13/34,15/34,19/34,67/34}, {1/30,1/10,7/30,3/10,11/30,13/30,17/30,59/30}, {1/34,3/34,5/34,7/34,9/34,13/34,19/34,55/34}, {1/16,1/16,1/8,3/16,1/4,3/8,9/16,13/8}, {1/22,3/22,3/22,5/22,7/22,1/2,15/22,47/22}, {1/26,1/26,5/26,5/26,9/26,11/26,17/26,55/26}, {1/24,1/24,1/8,1/8,3/8,11/24,5/8,53/24}, {0,1/16,3/16,1/4,3/8,3/8,5/8,17/8}, {1/13,2/13,2/13,3/13,4/13,6/13,9/13,27/13}, {1/13,2/13,2/13,3/13,4/13,5/13,9/13,2}, {-1/32,3/32,5/32,7/32,11/32,13/32,19/32,59/32}, {1/19,3/19,4/19,5/19,7/19,8/19,11/19,37/19}, {1/14,1/14,1/7,1/7,5/14,3/7,4/7,31/14}, {1/14,1/14,3/14,2/7,5/14,3/7,4/7,2}, {1/17,2/17,4/17,4/17,6/17,7/17,10/17,2}, {1/16,1/8,1/4,1/4,5/16,7/16,9/16,2}, {1/14,1/7,3/14,2/7,2/7,3/7,4/7,2}, {1/18,1/6,2/9,2/9,1/3,4/9,5/9,2}, {1/16,3/16,3/16,1/4,5/16,7/16,9/16,2}, {1/17,2/17,4/17,4/17,6/17,8/17,9/17,2}, {3/32,5/32,7/32,7/32,11/32,13/32,19/32,63/32}, {1/15,1/15,1/5,1/5,1/3,2/5,3/5,32/15}, {1/10,1/6,1/6,7/30,3/10,11/30,19/30,61/30}, {3/28,5/28,5/28,1/4,9/28,11/28,17/28,55/28}, {3/26,5/26,5/26,7/26,7/26,11/26,15/26,51/26}, {1/13,2/13,3/13,3/13,4/13,5/13,8/13,2}, {1/16,3/16,3/16,1/4,5/16,3/8,5/8,2}, {1/10,1/6,7/30,7/30,3/10,13/30,17/30,59/30}, {1/8,1/8,5/24,5/24,7/24,3/8,5/8,49/24}, {0,1/12,1/12,1/6,1/6,1/3,2/3,5/3}, {-1/28,3/28,5/28,1/4,9/28,9/28,19/28,53/28}, {1/22,1/22,3/22,5/22,7/22,7/22,13/22,39/22}, {0,1/16,1/8,1/8,1/4,5/16,11/16,27/16}, {0,1/11,2/11,3/11,3/11,4/11,8/11,21/11}, {0,1/13,2/13,3/13,4/13,5/13,8/13,23/13}, {0,1/13,1/13,2/13,3/13,4/13,9/13,22/13}, {0,1/15,2/15,2/15,1/5,1/3,2/3,5/3}, {1/30,1/10,1/6,7/30,11/30,11/30,19/30,11/6}, {0,1/14,1/7,3/14,5/14,5/14,9/14,25/14}, {1/24,1/24,1/8,5/24,7/24,3/8,5/8,43/24}, {1/28,3/28,5/28,1/4,9/28,11/28,17/28,51/28}, {1/12,1/12,1/6,1/4,1/3,1/3,7/12,11/6}, {0,1/13,2/13,3/13,4/13,4/13,9/13,25/13}, {1/11,1/11,2/11,3/11,3/11,4/11,7/11,21/11}, {1/10,1/10,1/5,1/5,3/10,2/5,7/10,2}, {1/20,1/20,3/20,3/20,1/4,7/20,13/20,39/20}, {1/18,1/18,1/6,1/6,5/18,7/18,13/18,35/18}, {1/26,3/26,5/26,7/26,9/26,9/26,17/26,49/26}, {1/13,1/13,2/13,3/13,4/13,5/13,8/13,24/13}, {1/14,1/7,3/14,2/7,5/14,5/14,9/14,27/14}, {1/8,1/8,5/24,7/24,7/24,3/8,5/8,47/24}, {1/22,1/22,5/22,5/22,7/22,1/2,15/22,47/22}, {1/20,1/20,3/20,3/20,7/20,11/20,13/20,9/4}, {1/12,1/12,1/6,1/6,1/3,1/2,2/3,13/6}, {-1/34,3/34,5/34,7/34,11/34,13/34,19/34,63/34}, {-1/30,1/10,1/6,7/30,3/10,11/30,17/30,19/10}, {0,1/14,1/7,3/14,2/7,5/14,4/7,25/14}, {1/30,1/10,1/6,7/30,3/10,11/30,17/30,11/6}, {-1/28,3/28,5/28,1/4,9/28,11/28,15/28,55/28}, {0,1/15,1/5,4/15,1/3,2/5,8/15,29/15}, {1/34,3/34,7/34,9/34,11/34,13/34,19/34,65/34}, {0,1/16,1/8,3/16,5/16,3/8,9/16,15/8}, {0,1/15,2/15,1/5,4/15,2/5,8/15,28/15}, {0,1/14,1/7,3/14,2/7,3/7,1/2,27/14}, {0,1/14,1/7,3/14,2/7,5/14,4/7,27/14}, {1/30,1/10,1/6,7/30,3/10,11/30,17/30,59/30}, {0,1/18,1/9,2/9,1/3,7/18,5/9,16/9}, {1/32,3/32,5/32,7/32,11/32,13/32,17/32,63/32}, {1/18,1/9,1/6,2/9,1/3,7/18,5/9,35/18}, {1/36,5/36,7/36,1/4,13/36,5/12,19/36,71/36}, {1/34,5/34,7/34,9/34,11/34,13/34,19/34,67/34}, {1/32,3/32,7/32,9/32,11/32,13/32,17/32,63/32}, {1/18,1/9,2/9,5/18,1/3,7/18,5/9,35/18}, {0,1/17,2/17,4/17,5/17,7/17,9/17,30/17}, {0,1/17,2/17,3/17,5/17,7/17,9/17,31/17}, {1/32,3/32,5/32,7/32,9/32,13/32,17/32,61/32}, {1/20,3/20,1/5,1/4,7/20,2/5,11/20,39/20}, {0,1/15,2/15,1/5,4/15,2/5,8/15,26/15}, {0,1/17,2/17,3/17,4/17,6/17,10/17,28/17}, {0,1/19,2/19,4/19,6/19,8/19,11/19,34/19}, {-1/36,1/12,5/36,7/36,11/36,5/12,7/12,67/36}, {-1/32,3/32,5/32,7/32,9/32,11/32,21/32,61/32}, {0,1/15,2/15,1/5,4/15,1/3,2/3,29/15}, {-1/30,1/10,1/6,7/30,3/10,13/30,17/30,59/30}, {1/36,1/12,7/36,1/4,13/36,5/12,7/12,71/36}, {0,1/15,2/15,1/5,4/15,2/5,3/5,9/5}, {1/32,3/32,5/32,7/32,9/32,13/32,19/32,59/32}, {1/34,3/34,5/34,7/34,11/34,13/34,21/34,63/34}, {0,1/16,3/16,1/4,5/16,7/16,9/16,31/16}, {1/36,1/12,7/36,1/4,11/36,5/12,7/12,23/12}, {1/20,1/10,1/5,1/4,7/20,2/5,3/5,39/20}, {-1/32,3/32,5/32,7/32,9/32,13/32,19/32,61/32}, {0,1/16,1/8,3/16,5/16,3/8,5/8,29/16}, {1/30,1/10,1/6,7/30,3/10,11/30,19/30,19/10}, {1/16,1/8,3/16,1/4,5/16,3/8,5/8,31/16}, {0,1/14,1/7,3/14,2/7,5/14,5/7,27/14}, {0,1/16,1/8,3/16,3/8,1/2,5/8,9/4}, {-1/36,1/12,5/36,1/4,13/36,17/36,19/36,83/36}, {1/20,3/20,1/5,1/4,7/20,9/20,11/20,2}, {0,1/17,3/17,4/17,6/17,7/17,11/17,36/17}, {1/32,3/32,5/32,7/32,11/32,15/32,21/32,69/32}, {0,1/15,1/5,4/15,1/3,7/15,2/3,32/15}, {1/28,3/28,5/28,1/4,9/28,13/28,19/28,59/28}, {1/19,2/19,4/19,5/19,7/19,8/19,11/19,2}, {1/38,3/38,7/38,9/38,13/38,15/38,23/38,81/38}, {1/18,1/9,2/9,5/18,1/3,4/9,5/9,2}, {3/40,1/8,9/40,11/40,13/40,17/40,23/40,79/40}, {1/19,3/19,4/19,5/19,6/19,8/19,11/19,2}, {1/14,5/42,3/14,11/42,5/14,17/42,25/42,83/42}, {3/44,7/44,9/44,1/4,15/44,19/44,25/44,87/44}, {3/34,5/34,7/34,9/34,11/34,13/34,21/34,67/34}, {0,0,0,0,1/2,1/2,1/2,3/2}, {-1/8,1/8,1/8,1/8,3/8,3/8,3/8,13/8}, {0,0,0,0,1/4,1/4,1/4,7/4}, {-1/6,1/6,1/6,1/6,1/6,1/6,1/2,3/2}, {0,0,0,0,0,0,1/2,3/2}, {0,0,1/4,1/4,1/4,1/4,1/2,3/2}, {-1/8,1/8,1/4,1/4,1/4,1/4,3/8,13/8}, {-1/12,1/12,1/12,1/12,1/3,1/3,1/2,3/2}, {-1/12,1/12,1/12,1/12,1/12,1/12,1/4,7/4}, {0,0,1/8,1/8,1/8,1/8,1/4,7/4}, {-1/12,1/12,1/12,1/12,1/12,1/12,1/2,3/2}, {0,0,0,0,1/4,1/4,1/2,3/2}, {0,0,1/8,1/8,1/8,1/8,1/2,3/2}, {-1/12,1/12,5/24,5/24,5/24,5/24,1/2,3/2}, {0,0,1/8,1/8,3/8,3/8,1/2,3/2}, {-1/18,1/18,5/36,5/36,11/36,11/36,1/2,3/2}, {-1/18,1/18,1/18,1/18,2/9,2/9,1/3,5/3}, {0,0,1/12,1/12,1/4,1/4,1/3,5/3}, {-1/18,1/18,5/36,5/36,5/36,5/36,1/3,5/3}, {-1/18,1/18,1/18,1/18,2/9,2/9,1/2,3/2}, {0,0,1/12,1/12,1/4,1/4,1/2,3/2}, {-1/12,1/12,1/6,1/6,1/3,1/3,5/12,19/12}, {-1/24,1/24,5/48,5/48,11/48,11/48,3/8,13/8}, {0,1/6,1/6,1/4,1/3,5/12,7/12,23/12}, {0,1/7,3/14,3/14,5/14,3/7,4/7,27/14}, {0,2/15,1/5,1/5,1/3,2/5,8/15,29/15}, {0,2/13,2/13,3/13,4/13,5/13,7/13,25/13}, {0,1/7,1/7,3/14,2/7,3/7,4/7,27/14}, {0,1/8,3/16,3/16,5/16,7/16,9/16,31/16}, {0,2/15,1/5,4/15,1/3,2/5,3/5,29/15}, {0,1/8,3/16,1/4,3/8,7/16,9/16,31/16}, {1/36,5/36,7/36,1/4,13/36,5/12,7/12,23/12}, {0,2/17,3/17,4/17,6/17,7/17,9/17,33/17}, {0,1/8,3/16,1/4,5/16,3/8,9/16,31/16}, {1/38,5/38,7/38,9/38,13/38,15/38,21/38,73/38}, {1/40,1/8,7/40,9/40,13/40,17/40,23/40,77/40}, {0,2/17,3/17,4/17,5/17,7/17,10/17,33/17}, {0,1/9,1/6,2/9,1/3,4/9,5/9,35/18}, {-1/8,1/8,1/8,1/8,1/8,3/8,3/8,11/8}, {0,0,0,1/3,1/3,1/3,1/3,4/3}, {0,0,1/6,1/6,1/3,1/3,1/3,4/3}, {0,0,1/5,1/5,1/5,2/5,2/5,7/5}, {1/12,1/12,1/12,1/4,1/4,5/12,5/12,17/12}, {1/8,1/8,1/8,1/8,3/8,3/8,3/8,11/8}, {1/4,1/4,1/4,1/4,1/4,1/4,1/4,5/4}, {-1/12,1/6,1/6,1/4,1/4,1/3,1/3,19/12}, {-1/16,3/16,3/16,3/16,5/16,5/16,5/16,25/16}, {-1/12,1/12,11/60,11/60,11/60,17/60,9/20,29/20}, {-1/24,1/8,1/8,5/24,5/24,7/24,11/24,35/24}, {-1/48,7/48,7/48,7/48,13/48,13/48,7/16,23/16}, {-1/16,1/16,1/16,11/48,11/48,17/48,17/48,65/48}, {-1/16,1/16,7/48,7/48,11/48,17/48,17/48,65/48}, {-1/16,1/16,13/80,13/80,13/80,31/80,31/80,111/80}, {0,1/8,1/8,1/8,1/4,3/8,3/8,11/8}, {0,0,0,1/6,1/6,1/6,1/6,5/3}, {0,0,1/10,1/10,1/10,1/5,1/5,17/10}, {1/24,1/24,1/24,1/8,1/8,5/24,5/24,41/24}, {1/16,1/16,1/16,1/16,3/16,3/16,3/16,27/16}, {-1/16,1/16,1/16,1/16,1/16,3/16,7/16,23/16}, {0,0,0,1/6,1/6,1/6,5/12,17/12}, {0,0,1/12,1/12,1/6,1/6,5/12,17/12}, {0,0,1/10,1/10,1/10,1/5,9/20,29/20}, {1/24,1/24,1/24,1/8,1/8,5/24,11/24,35/24}, {1/16,1/16,1/16,1/16,3/16,3/16,7/16,23/16}, {1/8,1/8,1/8,1/8,1/8,1/8,3/8,11/8}, {-1/16,1/16,1/16,1/16,5/16,7/16,7/16,23/16}, {1/24,1/24,1/24,1/8,3/8,11/24,11/24,35/24}, {-1/12,1/12,1/12,1/4,1/4,1/4,5/12,17/12}, {0,0,1/10,1/10,7/20,9/20,9/20,29/20}, {0,0,1/10,4/15,4/15,11/30,11/30,41/30}, {1/24,1/24,1/6,1/4,1/4,1/3,11/24,35/24}, {1/16,1/16,3/16,3/16,5/16,5/16,7/16,23/16}, {-1/48,5/48,5/48,3/16,3/16,19/48,19/48,67/48}, {1/24,1/24,17/120,9/40,9/40,49/120,49/120,169/120}, {5/48,5/48,5/48,3/16,5/16,19/48,19/48,67/48}, {1/16,1/16,1/16,11/48,17/48,17/48,17/48,65/48}, {1/16,1/16,7/48,7/48,17/48,17/48,17/48,65/48}, {1/16,1/16,13/80,13/80,23/80,31/80,31/80,111/80}, {1/16,3/16,3/16,3/16,3/16,5/16,5/16,21/16}, {1/8,1/8,1/8,7/24,7/24,7/24,7/24,31/24}, {1/8,1/8,5/24,5/24,7/24,7/24,7/24,31/24}, {-1/24,1/8,5/24,5/24,7/24,7/24,3/8,37/24}, {-1/18,1/9,7/36,1/4,1/4,11/36,7/18,14/9}, {-1/36,1/12,1/12,5/36,11/36,13/36,17/36,53/36}, {-1/18,1/18,11/90,7/30,7/30,3/10,37/90,127/90}, {-1/36,1/12,3/20,37/180,37/180,59/180,79/180,259/180}, {-1/36,1/12,1/6,2/9,2/9,5/18,17/36,53/36}, {-1/72,7/72,59/360,59/360,89/360,113/360,17/40,57/40}, {-1/72,7/72,13/72,13/72,19/72,19/72,11/24,35/24}, {1/72,1/8,1/8,13/72,19/72,23/72,31/72,103/72}, {-1/24,1/24,13/120,13/120,11/40,17/40,17/40,57/40}, {-1/24,1/24,13/120,79/360,79/360,133/360,133/360,493/360}, {-1/18,1/18,11/90,11/90,11/90,17/90,3/10,49/30}, {-1/18,1/18,1/18,1/6,1/6,1/6,5/18,29/18}, {0,0,1/15,8/45,8/45,11/45,11/45,71/45}, {1/24,1/24,1/24,11/72,17/72,17/72,17/72,113/72}, {0,0,1/15,1/15,7/30,3/10,3/10,49/30}, {1/36,1/36,17/180,3/20,3/20,49/180,49/180,289/180}, {1/24,1/24,13/120,13/120,23/120,31/120,31/120,191/120}, {1/24,1/24,1/8,1/8,5/24,5/24,7/24,13/8}, {-1/36,1/12,1/12,5/36,5/36,7/36,11/36,59/36}, {1/36,1/36,1/36,1/12,1/4,11/36,11/36,59/36}, {1/36,1/36,1/9,1/6,1/6,2/9,11/36,59/36}, {-1/72,7/72,7/72,7/72,13/72,13/72,7/24,13/8}, {5/72,5/72,5/72,1/8,5/24,19/72,19/72,115/72}, {-1/18,1/18,1/18,1/6,1/6,1/6,4/9,13/9}, {-1/18,1/18,11/90,11/90,11/90,17/90,7/15,22/15}, {-1/36,1/12,1/12,5/36,5/36,7/36,17/36,53/36}, {-1/72,7/72,7/72,7/72,13/72,13/72,11/24,35/24}, {-1/24,1/24,1/24,11/72,11/72,17/72,29/72,101/72}, {-1/24,1/24,7/72,7/72,11/72,17/72,29/72,101/72}, {-1/24,1/24,13/120,13/120,13/120,31/120,17/40,57/40}, {-1/24,1/24,1/24,1/24,5/24,7/24,11/24,35/24}, {0,0,1/15,8/45,8/45,11/45,37/90,127/90}, {1/36,1/36,1/9,1/6,1/6,2/9,17/36,53/36}, {-1/72,5/72,5/72,1/8,1/8,19/72,31/72,103/72}, {0,1/12,1/12,1/12,1/6,1/4,5/12,17/12}, {1/24,1/24,1/8,1/8,5/24,5/24,11/24,35/24}, {1/24,1/8,1/8,1/8,1/8,5/24,3/8,11/8}, {1/12,1/12,1/12,7/36,7/36,7/36,13/36,49/36}, {1/36,1/36,1/36,1/12,1/4,11/36,17/36,53/36}, {-1/18,1/9,1/9,1/6,1/3,7/18,7/18,14/9}, {-1/72,5/72,5/72,1/8,7/24,31/72,31/72,103/72}, {-1/72,7/72,7/72,5/24,7/24,7/24,29/72,101/72}, {1/24,1/24,13/120,79/360,109/360,133/360,133/360,493/360}, {0,1/12,5/36,5/36,5/18,13/36,13/36,49/36}, {1/24,1/24,7/72,7/72,17/72,17/72,29/72,101/72}, {-1/18,1/18,11/90,11/90,13/45,16/45,7/15,22/15}, {0,0,1/15,1/15,7/30,3/10,7/15,22/15}, {1/36,1/36,1/9,1/6,1/3,7/18,17/36,53/36}, {5/72,5/72,11/72,5/24,7/24,25/72,31/72,103/72}, {1/36,1/36,17/180,3/20,3/20,49/180,79/180,259/180}, {1/36,1/36,17/180,3/20,19/60,79/180,79/180,259/180}, {-1/72,11/72,11/72,5/24,7/24,25/72,25/72,109/72}, {1/36,1/9,1/9,1/6,1/4,7/18,7/18,25/18}, {0,1/12,1/12,7/36,5/18,13/36,13/36,49/36}, {0,1/12,3/20,3/20,7/30,23/60,23/60,83/60}, {1/24,1/24,1/24,11/72,17/72,17/72,29/72,101/72}, {5/72,5/72,5/72,1/8,5/24,19/72,31/72,103/72}, {1/24,1/24,13/120,13/120,23/120,31/120,17/40,57/40}, {5/72,5/72,49/360,23/120,11/40,143/360,143/360,503/360}, {1/24,1/8,1/8,17/72,17/72,23/72,23/72,95/72}, {1/24,1/8,13/72,13/72,17/72,23/72,23/72,95/72}, {1/12,1/12,5/36,5/36,7/36,7/36,13/36,49/36}, {-1/24,1/12,7/48,3/16,5/16,17/48,5/12,37/24}, {-1/96,11/96,17/96,7/32,9/32,31/96,37/96,145/96}, {-1/48,1/16,1/8,1/6,7/24,1/3,23/48,71/48}, {-1/96,7/96,59/480,33/160,43/160,51/160,193/480,673/480}, {-1/48,1/16,9/80,37/240,67/240,89/240,109/240,349/240}, {1/96,3/32,23/160,89/480,119/480,163/480,203/480,683/480}, {1/96,3/32,5/32,19/96,25/96,29/96,43/96,139/96}, {-1/96,7/96,7/96,5/32,7/32,7/32,29/96,149/96}, {-1/24,1/24,11/120,11/120,13/60,4/15,7/20,8/5}, {-1/24,1/24,11/120,7/40,7/40,9/40,37/120,187/120}, {-1/96,7/96,13/96,13/96,19/96,19/96,11/32,51/32}, {-1/48,1/16,1/16,5/48,11/48,13/48,17/48,77/48}, {1/96,3/32,3/32,13/96,19/96,23/96,31/96,151/96}, {1/32,1/32,13/160,79/480,109/480,133/480,133/480,733/480}, {-1/48,1/16,9/80,37/240,37/240,59/240,79/240,379/240}, {1/48,1/48,17/240,9/80,19/80,79/240,79/240,379/240}, {5/96,5/96,49/480,23/160,33/160,143/480,143/480,743/480}, {-1/96,7/96,59/480,59/480,89/480,113/480,51/160,251/160}, {-1/48,1/16,1/8,1/6,1/6,5/24,17/48,77/48}, {5/96,5/96,11/96,5/32,7/32,25/96,31/96,151/96}, {-1/24,1/24,11/120,11/120,13/60,4/15,19/40,59/40}, {-1/24,1/24,11/120,7/40,7/40,9/40,13/30,43/30}, {-1/48,1/16,1/16,5/48,11/48,13/48,23/48,71/48}, {-1/32,1/32,13/160,79/480,79/480,133/480,193/480,673/480}, {-1/96,5/96,5/96,3/32,7/32,31/96,43/96,139/96}, {0,1/16,9/80,9/80,7/40,23/80,33/80,113/80}, {1/48,1/12,1/12,1/8,3/16,7/24,5/12,17/12}, {-1/32,1/32,13/160,13/160,33/160,51/160,71/160,231/160}, {1/48,1/48,1/12,1/8,1/4,7/24,23/48,71/48}, {-1/48,1/16,9/80,37/240,37/240,59/240,109/240,349/240}, {-1/96,7/96,7/96,5/32,7/32,7/32,41/96,137/96}, {-1/96,7/96,59/480,59/480,89/480,113/480,71/160,231/160}, {1/96,3/32,3/32,13/96,19/96,23/96,43/96,139/96}, {0,1/16,1/16,7/48,5/24,13/48,19/48,67/48}, {0,1/16,5/48,5/48,5/24,13/48,19/48,67/48}, {5/96,5/96,11/96,5/32,7/32,25/96,43/96,139/96}, {1/32,3/32,3/32,17/96,17/96,23/96,35/96,131/96}, {1/32,3/32,13/96,13/96,17/96,23/96,35/96,131/96}, {0,1/16,9/80,47/240,31/120,89/240,89/240,329/240}, {1/32,1/32,13/160,79/480,109/480,133/480,193/480,673/480}, {1/48,1/48,1/12,1/8,1/4,7/24,17/48,77/48}, {1/48,1/48,17/240,9/80,19/80,79/240,109/240,349/240}, {5/96,5/96,49/480,23/160,33/160,143/480,203/480,683/480}, {-1/120,7/120,59/600,33/200,43/200,51/200,193/600,913/600}, {-1/60,1/20,9/100,37/300,67/300,89/300,109/300,469/300}, {1/120,3/40,23/200,89/600,119/600,163/600,203/600,923/600}, {-1/60,1/20,1/10,2/15,7/30,4/15,23/60,19/12}, {1/120,3/40,1/8,19/120,5/24,29/120,43/120,187/120}, {0,1/20,9/100,47/300,31/150,89/300,119/300,419/300}, {-1/120,7/120,59/600,33/200,43/200,51/200,253/600,853/600}, {-1/60,1/20,9/100,37/300,67/300,89/300,139/300,439/300}, {1/120,3/40,23/200,89/600,119/600,163/600,263/600,863/600}, {0,0,0,0,0,0,1,1}, {-5/24,5/24,5/24,5/24,5/24,5/24,3/8,13/8}, {-1/12,1/12,1/12,1/12,1/12,1/12,3/4,5/4}, {0,0,0,0,0,0,3/4,5/4}, {0,0,0,0,1/4,1/4,3/4,5/4}, {0,0,1/8,1/8,1/8,1/8,3/4,5/4}, {-5/36,5/36,2/9,2/9,2/9,2/9,5/12,19/12}, {-5/36,5/36,5/36,5/36,11/36,11/36,5/12,19/12}, {0,0,0,0,1/6,1/6,2/3,4/3}, {-1/18,1/18,1/18,1/18,2/9,2/9,2/3,4/3}, {0,0,1/12,1/12,1/4,1/4,2/3,4/3}, {-5/48,5/48,1/6,1/6,7/24,7/24,7/16,25/16}, {-1/10,1/10,1/10,1/10,3/10,3/10,3/10,13/10}, {-1/12,1/12,1/12,1/4,1/4,1/4,1/4,5/4}, {0,0,0,0,0,1/3,1/3,4/3}, {0,0,0,0,0,1/2,1/2,1}, {0,0,0,0,1/4,1/4,1/4,5/4}, {0,0,1/4,1/4,1/4,1/4,1/4,5/4}, {-1/8,1/8,1/8,7/24,7/24,7/24,7/24,37/24}, {-1/8,1/8,9/40,9/40,9/40,13/40,13/40,63/40}, {-9/80,9/80,9/80,9/80,17/80,27/80,27/80,107/80}, {-5/48,5/48,5/48,3/16,3/16,5/16,5/16,21/16}, {-11/120,11/120,11/120,7/40,11/40,11/40,11/40,51/40}, {-1/20,1/20,1/20,13/60,19/60,19/60,19/60,79/60}, {-1/20,1/20,2/15,2/15,19/60,19/60,19/60,79/60}, {-1/20,1/20,1/20,1/20,3/20,3/20,2/5,7/5}, {-1/24,1/24,1/24,1/8,1/8,1/8,3/8,11/8}, {0,0,0,0,0,1/6,5/12,17/12}, {0,0,0,0,1/8,1/8,3/8,11/8}, {0,0,1/8,1/8,1/8,1/8,3/8,11/8}, {-1/16,1/16,1/16,1/16,1/16,3/16,11/16,19/16}, {-1/20,1/20,1/20,1/20,3/20,3/20,13/20,23/20}, {-1/24,1/24,1/24,1/8,1/8,1/8,5/8,9/8}, {0,0,0,0,0,1/6,2/3,7/6}, {0,0,0,0,1/8,1/8,5/8,9/8}, {0,0,0,1/6,1/6,1/6,2/3,7/6}, {0,0,1/12,1/12,1/6,1/6,2/3,7/6}, {0,0,1/10,1/10,1/10,1/5,7/10,6/5}, {0,0,1/8,1/8,1/8,1/8,5/8,9/8}, {1/24,1/24,1/24,1/8,1/8,5/24,17/24,29/24}, {1/16,1/16,1/16,1/16,3/16,3/16,11/16,19/16}, {1/8,1/8,1/8,1/8,1/8,1/8,5/8,9/8}, {-1/16,1/16,1/16,1/16,1/16,17/48,17/48,65/48}, {-1/20,1/20,1/20,1/20,3/20,19/60,19/60,79/60}, {-1/24,1/24,1/24,1/8,1/8,7/24,7/24,31/24}, {0,0,0,0,1/4,5/12,5/12,17/12}, {0,0,0,1/6,1/6,1/3,1/3,4/3}, {0,0,1/12,1/12,1/6,1/3,1/3,4/3}, {0,0,1/10,1/10,1/10,11/30,11/30,41/30}, {0,0,1/8,1/8,1/8,7/24,7/24,31/24}, {1/24,1/24,1/24,1/8,1/8,3/8,3/8,11/8}, {1/16,1/16,1/16,1/16,3/16,17/48,17/48,65/48}, {1/8,1/8,1/8,1/8,1/8,7/24,7/24,31/24}, {-1/24,1/24,1/24,1/8,1/8,3/8,3/8,9/8}, {0,0,0,0,1/8,3/8,3/8,9/8}, {0,0,1/8,1/8,1/8,3/8,3/8,9/8}, {-1/24,1/24,1/24,1/8,1/4,1/4,1/4,5/4}, {0,0,0,0,1/8,7/24,7/24,31/24}, {0,0,1/8,1/8,1/4,1/4,1/4,5/4}, {1/8,1/8,1/8,1/8,1/4,1/4,1/4,5/4}, {0,0,0,1/6,5/12,5/12,5/12,17/12}, {1/16,1/16,1/16,1/16,7/16,7/16,7/16,23/16}, {0,0,1/12,1/12,5/12,5/12,5/12,17/12}, {-1/16,1/16,3/16,3/16,3/16,5/16,5/16,21/16}, {-1/20,1/20,7/40,7/40,11/40,11/40,11/40,51/40}, {0,0,1/8,7/24,7/24,7/24,7/24,31/24}, {0,0,5/24,5/24,7/24,7/24,7/24,31/24}, {0,0,1/8,7/24,7/24,7/24,5/12,17/12}, {0,0,9/40,9/40,9/40,13/40,9/20,29/20}, {1/24,1/24,1/24,7/24,7/24,3/8,3/8,11/8}, {1/80,9/80,9/80,9/80,27/80,27/80,27/80,107/80}, {3/40,7/40,7/40,7/40,11/40,11/40,11/40,51/40}, {1/8,1/8,1/8,1/8,1/8,3/8,3/8,9/8}, {-1/12,1/12,1/12,7/36,13/36,13/36,13/36,55/36}, {-1/12,1/12,3/20,47/180,47/180,59/180,59/180,269/180}, {-1/12,1/12,3/20,3/20,19/60,23/60,23/60,31/20}, {-1/18,1/9,8/45,7/30,7/30,16/45,16/45,137/90}, {-1/24,1/8,23/120,23/120,11/40,41/120,41/120,181/120}, {-1/18,1/9,1/9,5/18,5/18,1/3,1/3,3/2}, {-1/24,1/8,1/8,1/8,3/8,3/8,3/8,37/24}, {-1/18,1/18,5/36,1/4,1/4,1/4,4/9,13/9}, {-1/36,1/12,1/12,1/4,1/4,11/36,5/12,17/12}, {-5/36,5/36,37/180,37/180,37/180,49/180,23/60,31/20}, {-1/18,1/18,37/180,37/180,37/180,49/180,7/15,22/15}, {-1/9,1/6,1/6,2/9,2/9,5/18,7/18,14/9}, {-7/72,13/72,13/72,13/72,19/72,19/72,3/8,37/24}, {-1/72,7/72,7/72,7/72,25/72,25/72,11/24,35/24}, {-3/40,3/40,3/40,67/360,91/360,121/360,121/360,481/360}, {1/120,19/120,19/120,19/120,9/40,37/120,37/120,157/120}, {-1/24,1/24,1/24,1/24,5/24,7/24,5/8,31/24}, {-1/24,1/24,7/72,7/72,11/72,17/72,41/72,89/72}, {-1/24,1/24,7/72,7/72,23/72,29/72,29/72,101/72}, {-1/30,7/60,7/60,7/60,4/15,7/20,7/20,27/20}, {0,1/12,1/12,1/12,1/6,1/4,7/12,5/4}, {-11/180,11/180,11/180,7/60,11/60,11/60,31/60,71/60}, {-1/30,1/30,1/30,13/90,19/90,19/90,49/90,109/90}, {-3/40,3/40,47/360,47/360,91/360,121/360,121/360,481/360}, {0,0,0,1/9,5/18,5/18,5/18,29/18}, {1/24,1/24,1/24,1/24,7/24,7/24,7/24,13/8}, {0,0,1/12,7/36,7/36,7/36,5/18,29/18}, {1/36,1/36,1/36,7/36,7/36,1/4,1/4,19/12}, {-5/72,5/72,5/72,1/8,1/8,5/24,3/8,11/8}, {-1/24,1/24,1/24,1/24,1/24,1/8,5/8,31/24}, {-1/24,1/24,1/8,1/8,1/8,5/24,3/8,11/8}, {-3/40,3/40,3/40,3/40,17/120,9/40,47/120,167/120}, {-11/180,11/180,11/180,7/60,11/60,11/60,7/20,27/20}, {-1/30,1/30,1/30,13/90,19/90,19/90,17/45,62/45}, {-1/30,1/30,4/45,4/45,19/90,19/90,17/45,62/45}, {-1/30,1/30,7/60,7/60,11/60,11/60,7/20,27/20}, {1/120,3/40,3/40,3/40,9/40,9/40,47/120,167/120}, {-1/36,1/36,1/36,1/12,1/12,7/36,13/36,49/36}, {-1/36,1/36,1/36,1/12,1/6,1/6,1/3,4/3}, {-1/24,1/24,1/24,1/24,1/24,17/72,29/72,101/72}, {-1/30,1/30,1/30,1/30,1/10,19/90,17/45,62/45}, {0,0,0,1/9,1/9,2/9,7/18,25/18}, {0,0,1/15,1/15,1/15,11/45,37/90,127/90}, {0,0,1/12,1/12,1/12,7/36,13/36,49/36}, {1/12,1/12,1/12,1/12,1/12,7/36,13/36,49/36}, {0,0,1/12,7/36,7/36,7/36,13/36,49/36}, {0,0,1/12,7/36,7/36,7/36,4/9,13/9}, {1/36,1/36,1/36,7/36,7/36,1/4,5/12,17/12}, {0,0,1/18,1/18,1/9,1/9,11/18,23/18}, {0,0,1/18,1/18,5/18,5/18,4/9,13/9}, {0,0,1/12,1/12,1/6,1/6,1/3,4/3}, {0,0,5/36,5/36,7/36,7/36,13/36,49/36}, {0,0,3/20,3/20,3/20,13/60,7/15,22/15}, {1/36,1/36,1/36,1/12,1/12,1/4,5/12,17/12}, {1/24,1/24,1/24,1/24,7/24,7/24,11/24,35/24}, {1/20,7/60,7/60,7/60,11/60,11/60,7/20,27/20}, {1/12,1/12,1/12,1/12,1/12,1/12,7/12,5/4}, {1/12,1/12,1/12,1/12,1/6,1/6,1/3,4/3}, {-1/18,1/18,1/18,1/6,1/6,1/6,11/18,23/18}, {-1/72,7/72,7/72,7/72,13/72,13/72,5/8,31/24}, {-1/24,1/24,1/24,11/72,11/72,17/72,41/72,89/72}, {-1/24,1/24,13/120,13/120,13/120,31/120,71/120,151/120}, {1/24,1/8,1/8,1/8,1/8,5/24,13/24,29/24}, {-1/30,1/30,4/45,4/45,19/90,19/90,49/90,109/90}, {-1/30,1/30,7/60,7/60,11/60,11/60,31/60,71/60}, {1/20,7/60,7/60,7/60,11/60,11/60,31/60,71/60}, {0,0,0,1/9,1/9,1/9,11/18,23/18}, {0,0,1/15,1/15,1/15,2/15,19/30,13/10}, {0,0,1/15,1/15,1/15,11/45,26/45,56/45}, {0,0,1/12,1/12,1/12,7/36,19/36,43/36}, {1/12,1/12,1/12,1/12,1/12,7/36,19/36,43/36}, {1/12,1/12,1/12,1/12,1/6,1/6,1/2,7/6}, {0,0,0,1/9,1/9,2/9,5/9,11/9}, {1/12,1/12,1/12,7/36,7/36,7/36,19/36,43/36}, {-1/18,1/18,11/90,11/90,11/90,17/90,19/30,13/10}, {0,0,1/15,8/45,8/45,11/45,26/45,56/45}, {0,0,1/12,7/36,7/36,7/36,19/36,43/36}, {1/36,1/36,1/9,1/6,1/6,2/9,23/36,47/36}, {1/24,1/24,1/8,1/8,5/24,5/24,5/8,31/24}, {-1/36,1/12,1/12,5/36,5/36,7/36,23/36,47/36}, {-1/72,5/72,5/72,1/8,1/8,19/72,43/72,91/72}, {1/36,1/36,1/36,1/12,1/12,5/36,23/36,47/36}, {1/36,1/36,1/36,1/12,1/12,1/4,7/12,5/4}, {1/120,3/40,3/40,3/40,9/40,9/40,67/120,49/40}, {1/24,1/24,1/24,1/24,1/8,1/8,5/8,31/24}, {-1/24,1/24,1/24,1/24,1/24,17/72,41/72,89/72}, {-1/24,1/24,1/24,1/24,5/24,29/72,29/72,101/72}, {0,1/12,1/12,1/12,1/6,13/36,13/36,49/36}, {-1/30,1/30,4/45,4/45,19/90,29/90,29/90,119/90}, {1/120,3/40,3/40,3/40,9/40,121/360,121/360,481/360}, {-11/180,11/180,11/180,7/60,11/60,53/180,53/180,233/180}, {0,0,1/18,1/18,1/9,2/9,7/18,25/18}, {-1/30,1/30,1/30,1/30,1/10,19/90,49/90,109/90}, {-1/36,1/36,1/36,1/12,1/12,7/36,19/36,43/36}, {0,0,1/18,1/18,1/9,2/9,5/9,11/9}, {0,0,0,0,1/12,7/36,19/36,43/36}, {0,0,0,0,1/6,5/18,4/9,13/9}, {0,0,0,0,1/6,5/18,11/18,23/18}, {0,0,1/15,1/15,7/30,37/90,37/90,127/90}, {-1/24,1/24,1/24,11/72,11/72,25/72,25/72,97/72}, {-1/30,1/30,1/30,13/90,19/90,29/90,29/90,119/90}, {0,0,1/15,8/45,8/45,16/45,16/45,61/45}, {0,0,1/12,7/36,7/36,11/36,11/36,47/36}, {1/24,1/24,1/24,11/72,17/72,25/72,25/72,97/72}, {-1/24,1/24,7/72,7/72,11/72,25/72,25/72,97/72}, {-1/30,1/30,7/60,7/60,11/60,53/180,53/180,233/180}, {1/36,1/36,1/36,1/12,1/4,5/12,5/12,17/12}, {5/72,5/72,5/72,1/8,5/24,3/8,3/8,11/8}, {1/24,1/24,1/24,1/24,1/8,17/72,29/72,101/72}, {1/24,1/24,1/24,1/24,1/8,17/72,41/72,89/72}, {1/24,1/8,1/8,1/8,1/8,23/72,23/72,95/72}, {1/20,7/60,7/60,7/60,11/60,53/180,53/180,233/180}, {1/12,1/12,1/12,7/36,7/36,11/36,11/36,47/36}, {-1/36,1/36,1/36,1/12,1/6,1/6,1/2,7/6}, {0,0,1/12,1/12,1/6,1/6,1/2,7/6}, {-1/36,1/36,1/36,1/12,1/6,5/18,5/18,23/18}, {-1/36,1/36,1/36,1/12,1/6,1/3,1/3,7/6}, {0,0,1/12,1/12,1/6,5/18,5/18,23/18}, {0,0,1/12,1/12,1/6,1/3,1/3,7/6}, {1/12,1/12,1/12,1/12,1/6,5/18,5/18,23/18}, {1/12,1/12,1/12,1/12,1/6,1/3,1/3,7/6}, {-1/18,1/18,1/18,1/6,1/3,1/3,4/9,13/9}, {-1/24,1/24,1/24,11/72,23/72,29/72,29/72,101/72}, {0,0,0,1/9,5/18,5/18,4/9,13/9}, {0,0,1/15,8/45,31/90,37/90,37/90,127/90}, {1/24,1/24,1/24,11/72,29/72,29/72,29/72,101/72}, {1/36,1/36,1/36,1/12,1/4,11/36,23/36,47/36}, {1/36,1/36,1/36,7/36,13/36,5/12,5/12,17/12}, {0,1/12,1/12,1/12,1/3,5/12,5/12,17/12}, {5/72,5/72,5/72,1/8,3/8,31/72,31/72,103/72}, {-5/36,5/36,5/36,1/4,1/4,1/4,13/36,55/36}, {-1/72,5/72,5/72,17/72,17/72,3/8,3/8,11/8}, {-1/30,1/30,7/60,41/180,53/180,53/180,53/180,233/180}, {1/36,1/36,17/180,47/180,47/180,23/60,23/60,83/60}, {1/24,1/24,7/72,7/72,17/72,17/72,41/72,89/72}, {1/24,1/24,7/72,7/72,17/72,25/72,25/72,97/72}, {0,0,1/15,1/15,7/30,3/10,19/30,13/10}, {0,0,3/20,3/20,19/60,23/60,7/15,22/15}, {-3/40,3/40,19/120,19/120,9/40,37/120,37/120,157/120}, {-1/24,1/24,1/8,17/72,17/72,23/72,23/72,95/72}, {-1/24,1/24,13/72,13/72,17/72,23/72,23/72,95/72}, {-1/12,1/12,1/6,5/18,5/18,5/18,13/36,55/36}, {0,0,3/20,3/20,3/20,13/60,3/10,49/30}, {0,0,1/12,7/36,13/36,13/36,4/9,13/9}, {-1/12,1/12,7/30,7/30,7/30,3/10,23/60,31/20}, {0,0,3/20,47/180,47/180,59/180,37/90,127/90}, {1/36,1/36,8/45,7/30,7/30,16/45,79/180,259/180}, {1/36,1/36,1/9,5/18,5/18,1/3,5/12,17/12}, {1/24,1/24,1/8,1/8,3/8,3/8,11/24,35/24}, {1/24,1/24,1/8,17/72,23/72,23/72,29/72,101/72}, {1/24,1/24,23/120,23/120,11/40,41/120,17/40,57/40}, {5/72,5/72,5/72,17/72,23/72,3/8,3/8,11/8}, {1/36,1/36,17/180,3/20,3/20,49/180,109/180,229/180}, {1/24,1/24,1/24,11/72,17/72,17/72,41/72,89/72}, {-1/24,1/8,1/8,17/72,23/72,23/72,23/72,107/72}, {1/24,1/24,13/120,13/120,23/120,31/120,71/120,151/120}, {1/24,1/24,13/120,13/120,23/120,133/360,133/360,493/360}, {1/24,1/24,13/120,13/120,43/120,17/40,17/40,57/40}, {5/72,5/72,5/72,1/8,5/24,19/72,43/72,91/72}, {1/20,7/60,31/180,31/180,53/180,53/180,53/180,233/180}, {1/20,7/60,7/60,41/180,53/180,53/180,53/180,233/180}, {1/12,1/12,5/36,5/36,7/36,7/36,19/36,43/36}, {1/12,1/12,5/36,5/36,7/36,11/36,11/36,47/36}, {-1/12,1/8,7/40,13/60,13/60,37/120,47/120,91/60}, {-7/96,13/96,89/480,89/480,119/480,143/480,61/160,241/160}, {-1/12,1/8,3/16,11/48,11/48,13/48,5/12,37/24}, {-7/96,13/96,13/96,7/32,9/32,9/32,35/96,143/96}, {-1/32,3/32,23/160,109/480,139/480,163/480,163/480,703/480}, {-1/24,1/12,2/15,7/40,3/10,47/120,47/120,91/60}, {-1/96,11/96,79/480,33/160,43/160,173/480,173/480,713/480}, {-1/24,1/12,7/48,13/48,13/48,5/16,3/8,3/2}, {-1/32,3/32,5/32,23/96,29/96,29/96,35/96,143/96}, {-1/24,1/12,47/240,19/80,19/80,79/240,47/120,91/60}, {-1/32,3/32,33/160,33/160,43/160,51/160,61/160,241/160}, {-7/96,13/96,19/96,19/96,25/96,25/96,13/32,49/32}, {-1/32,3/32,5/32,5/32,11/32,11/32,13/32,49/32}, {-1/24,1/24,5/48,3/16,5/16,5/16,11/24,35/24}, {-1/48,1/16,1/16,3/16,5/16,17/48,7/16,23/16}, {-5/48,5/48,37/240,19/80,19/80,23/80,89/240,359/240}, {-1/24,1/24,37/240,19/80,19/80,23/80,13/30,43/30}, {-1/24,1/24,11/120,7/40,3/10,7/20,13/30,43/30}, {-1/48,1/16,9/80,19/80,19/80,79/240,33/80,113/80}, {-1/48,1/16,7/40,13/60,13/60,37/120,109/240,349/240}, {-1/48,1/16,1/8,1/4,1/4,7/24,7/16,23/16}, {-1/96,7/96,59/480,59/480,149/480,173/480,71/160,231/160}, {-1/96,7/96,13/96,13/96,31/96,31/96,15/32,47/32}, {1/96,3/32,3/32,13/96,31/96,35/96,43/96,139/96}, {-1/96,7/96,13/96,7/32,9/32,9/32,41/96,137/96}, {-1/96,7/96,89/480,89/480,119/480,143/480,71/160,231/160}, {1/96,3/32,3/32,7/32,9/32,31/96,13/32,45/32}, {-9/160,9/160,19/160,97/480,121/480,151/480,151/480,631/480}, {1/160,19/160,19/160,97/480,121/480,151/480,151/480,631/480}, {-1/32,1/32,13/160,13/160,33/160,51/160,91/160,211/160}, {-1/24,1/24,1/24,1/8,1/4,1/4,1/3,19/12}, {-1/24,1/24,37/240,37/240,37/240,49/240,7/20,8/5}, {-1/24,1/24,5/48,3/16,3/16,3/16,1/3,19/12}, {1/48,1/48,1/48,7/48,13/48,5/16,5/16,25/16}, {-1/96,7/96,7/96,7/96,25/96,25/96,11/32,51/32}, {1/32,1/32,1/32,11/96,29/96,29/96,29/96,149/96}, {0,0,1/20,2/15,31/120,37/120,37/120,187/120}, {1/48,1/48,17/240,47/240,47/240,23/80,23/80,123/80}, {1/32,1/32,3/32,17/96,23/96,23/96,29/96,149/96}, {1/48,1/48,2/15,7/40,7/40,4/15,79/240,379/240}, {1/32,1/32,23/160,23/160,33/160,41/160,51/160,251/160}, {-1/48,1/16,1/16,3/16,3/16,11/48,5/16,25/16}, {1/48,1/48,1/12,5/24,5/24,1/4,5/16,25/16}, {1/32,1/32,13/160,13/160,43/160,51/160,51/160,251/160}, {1/32,1/32,3/32,3/32,9/32,9/32,11/32,51/32}, {5/96,5/96,5/96,3/32,9/32,31/96,31/96,151/96}, {5/96,5/96,5/96,17/96,23/96,9/32,9/32,49/32}, {-1/24,1/24,1/24,1/8,1/4,1/4,11/24,35/24}, {-1/48,1/16,1/16,3/16,3/16,11/48,7/16,23/16}, {-9/160,9/160,47/480,47/480,91/480,121/480,181/480,661/480}, {-9/160,9/160,19/160,19/160,27/160,37/160,57/160,217/160}, {-1/40,7/80,7/80,7/80,1/5,21/80,31/80,111/80}, {-1/96,5/96,5/96,3/32,3/32,19/96,55/96,127/96}, {0,1/16,1/16,1/16,1/8,13/48,19/48,67/48}, {0,1/16,1/16,1/16,1/4,5/16,7/16,23/16}, {-1/32,1/32,1/32,11/96,11/96,17/96,53/96,125/96}, {-1/32,1/32,1/32,11/96,11/96,25/96,37/96,133/96}, {-1/96,5/96,5/96,17/96,17/96,9/32,13/32,45/32}, {-1/32,1/32,7/96,7/96,11/96,17/96,53/96,125/96}, {-1/32,1/32,7/96,7/96,23/96,29/96,41/96,137/96}, {-1/32,1/32,13/160,13/160,13/160,31/160,91/160,211/160}, {-1/32,1/32,3/32,17/96,17/96,23/96,35/96,131/96}, {-1/32,1/32,13/96,13/96,17/96,23/96,35/96,131/96}, {0,1/16,1/16,1/16,1/8,3/16,9/16,21/16}, {1/160,9/160,9/160,9/160,27/160,121/480,181/480,661/480}, {-1/40,1/40,7/80,41/240,53/240,53/240,83/240,323/240}, {-11/240,11/240,11/240,7/80,11/80,53/240,83/240,323/240}, {1/32,3/32,3/32,3/32,3/32,5/32,17/32,41/32}, {-1/32,1/32,7/96,7/96,11/96,25/96,37/96,133/96}, {-1/40,1/40,1/15,1/15,19/120,29/120,11/30,41/30}, {-1/40,1/40,7/80,7/80,11/80,53/240,83/240,323/240}, {1/32,3/32,3/32,3/32,3/32,23/96,35/96,131/96}, {-1/32,1/32,1/32,1/32,5/32,7/32,19/32,43/32}, {-1/32,1/32,1/32,1/32,5/32,29/96,41/96,137/96}, {0,0,1/16,7/48,13/48,13/48,11/24,35/24}, {1/32,1/32,3/32,3/32,9/32,9/32,15/32,47/32}, {-9/160,9/160,9/160,67/480,91/480,121/480,181/480,661/480}, {-1/40,1/40,1/40,13/120,19/120,29/120,11/30,41/30}, {0,0,1/20,2/15,2/15,4/15,47/120,167/120}, {0,0,1/16,7/48,7/48,11/48,17/48,65/48}, {-1/32,1/32,1/32,11/96,23/96,29/96,41/96,137/96}, {0,0,9/80,47/240,47/240,59/240,13/30,43/30}, {1/48,1/48,2/15,7/40,7/40,4/15,109/240,349/240}, {1/48,1/48,1/12,5/24,5/24,1/4,7/16,23/16}, {-1/96,7/96,7/96,7/96,25/96,25/96,15/32,47/32}, {1/32,1/32,3/32,17/96,23/96,23/96,41/96,137/96}, {1/32,1/32,23/160,23/160,33/160,41/160,71/160,231/160}, {1/160,19/160,19/160,19/160,27/160,37/160,57/160,217/160}, {3/80,7/80,7/80,7/80,11/80,53/240,83/240,323/240}, {3/80,7/80,7/80,41/240,53/240,53/240,83/240,323/240}, {3/80,7/80,31/240,31/240,53/240,53/240,83/240,323/240}, {1/16,1/16,1/16,7/48,7/48,7/48,25/48,61/48}, {1/16,1/16,1/16,7/48,7/48,11/48,17/48,65/48}, {-1/48,1/16,1/16,5/48,11/48,13/48,29/48,65/48}, {-1/24,1/24,11/120,7/40,7/40,9/40,67/120,157/120}, {-1/96,7/96,59/480,59/480,89/480,113/480,91/160,211/160}, {1/32,3/32,3/32,17/96,17/96,23/96,47/96,119/96}, {-1/32,1/32,13/160,79/480,79/480,133/480,253/480,613/480}, {0,0,1/20,2/15,2/15,11/60,67/120,157/120}, {0,0,1/20,2/15,2/15,4/15,31/60,19/15}, {1/16,1/16,1/16,7/48,7/48,11/48,23/48,59/48}, {-1/48,1/16,9/80,37/240,37/240,59/240,139/240,319/240}, {0,0,1/16,7/48,7/48,11/48,23/48,59/48}, {1/48,1/48,1/12,1/8,1/4,7/24,29/48,65/48}, {5/96,5/96,11/96,5/32,7/32,25/96,55/96,127/96}, {1/96,3/32,3/32,13/96,19/96,23/96,55/96,127/96}, {-1/32,1/32,1/32,11/96,11/96,25/96,49/96,121/96}, {-1/32,1/32,7/96,7/96,11/96,25/96,49/96,121/96}, {0,1/16,1/16,1/16,1/8,13/48,25/48,61/48}, {3/80,7/80,31/240,31/240,53/240,73/240,73/240,313/240}, {-11/240,11/240,11/240,7/80,11/80,53/240,113/240,293/240}, {-1/40,1/40,1/15,1/15,19/120,29/120,59/120,149/120}, {1/160,9/160,9/160,9/160,27/160,121/480,241/480,601/480}, {-1/32,1/32,1/32,1/32,5/32,29/96,53/96,125/96}, {1/32,3/32,3/32,3/32,3/32,23/96,47/96,119/96}, {0,0,1/16,1/16,1/8,5/24,11/24,29/24}, {1/16,1/16,1/16,1/16,1/8,5/24,11/24,29/24}, {0,0,1/20,1/20,7/40,37/120,13/30,43/30}, {0,0,1/20,1/20,7/40,37/120,67/120,157/120}, {-1/40,1/40,1/40,13/120,19/120,29/120,59/120,149/120}, {3/80,7/80,7/80,41/240,53/240,73/240,73/240,313/240}, {0,1/16,1/16,7/48,5/24,17/48,17/48,65/48}, {0,1/16,5/48,5/48,5/24,17/48,17/48,65/48}, {1/32,3/32,13/96,13/96,17/96,31/96,31/96,127/96}, {-1/40,1/40,7/80,7/80,11/80,53/240,113/240,293/240}, {-1/40,1/40,7/80,41/240,53/240,73/240,73/240,313/240}, {3/80,7/80,7/80,7/80,11/80,53/240,113/240,293/240}, {1/32,3/32,3/32,17/96,17/96,31/96,31/96,127/96}, {-1/48,1/48,1/48,1/16,1/8,5/24,11/24,29/24}, {5/96,5/96,5/96,3/32,9/32,31/96,43/96,139/96}, {1/48,1/48,1/48,1/16,3/16,11/48,29/48,65/48}, {1/48,1/48,1/48,1/16,3/16,5/16,7/16,23/16}, {1/48,1/48,1/48,1/16,3/16,5/16,9/16,21/16}, {-1/32,1/32,13/160,79/480,139/480,193/480,193/480,673/480}, {-1/24,1/12,1/12,5/24,1/3,3/8,3/8,3/2}, {-1/96,5/96,5/96,17/96,29/96,13/32,13/32,45/32}, {0,1/16,1/16,7/48,1/3,19/48,19/48,67/48}, {-1/12,1/8,1/8,1/6,7/24,1/3,5/12,37/24}, {-1/96,5/96,5/96,3/32,7/32,31/96,55/96,127/96}, {1/48,1/48,1/48,7/48,13/48,5/16,7/16,23/16}, {-1/96,11/96,11/96,5/32,11/32,37/96,37/96,145/96}, {1/48,1/12,1/12,1/8,5/16,5/12,5/12,17/12}, {1/32,1/32,1/32,11/96,29/96,29/96,41/96,137/96}, {-1/16,1/16,1/8,5/24,1/3,1/3,19/48,73/48}, {-1/96,7/96,7/96,5/32,7/32,7/32,53/96,125/96}, {-1/96,7/96,7/96,5/32,11/32,11/32,41/96,137/96}, {0,0,1/20,2/15,31/120,37/120,13/30,43/30}, {1/48,1/48,17/240,47/240,77/240,33/80,33/80,113/80}, {1/32,1/32,13/160,79/480,169/480,193/480,193/480,673/480}, {1/48,1/48,17/240,47/240,47/240,23/80,33/80,113/80}, {1/32,1/32,13/160,79/480,109/480,173/480,173/480,653/480}, {-1/40,1/40,7/80,41/240,53/240,53/240,113/240,293/240}, {0,0,1/16,7/48,13/48,13/48,1/3,19/12}, {5/96,5/96,49/480,109/480,139/480,61/160,61/160,221/160}, {1/32,1/32,13/160,79/480,109/480,133/480,253/480,613/480}, {0,1/16,5/48,5/48,5/24,13/48,25/48,61/48}, {1/32,1/32,7/96,7/96,17/96,17/96,53/96,125/96}, {1/32,1/32,7/96,7/96,17/96,25/96,37/96,133/96}, {1/32,1/32,7/96,7/96,17/96,25/96,49/96,121/96}, {-5/48,5/48,37/240,37/240,67/240,79/240,33/80,123/80}, {-1/16,1/16,7/40,7/40,3/10,7/20,33/80,123/80}, {-1/24,1/24,37/240,37/240,67/240,79/240,19/40,59/40}, {-1/24,1/24,11/120,11/120,13/60,4/15,3/5,27/20}, {0,0,1/20,1/20,7/40,9/40,3/5,27/20}, {0,0,9/80,9/80,19/80,23/80,19/40,59/40}, {0,0,9/80,9/80,19/80,23/80,7/20,8/5}, {5/96,5/96,11/96,5/32,11/32,37/96,43/96,139/96}, {-1/16,1/16,7/40,31/120,31/120,37/120,89/240,359/240}, {0,0,9/80,47/240,47/240,59/240,37/120,187/120}, {1/48,1/48,1/12,5/24,1/3,3/8,7/16,23/16}, {5/96,5/96,11/96,23/96,29/96,11/32,13/32,45/32}, {1/48,1/48,2/15,7/40,3/10,47/120,109/240,349/240}, {5/96,5/96,79/480,33/160,43/160,173/480,203/480,683/480}, {1/32,1/32,23/160,109/480,139/480,163/480,193/480,673/480}, {1/48,1/48,17/240,9/80,9/80,49/240,139/240,319/240}, {1/48,1/48,17/240,9/80,19/80,79/240,139/240,319/240}, {-1/96,11/96,11/96,23/96,29/96,11/32,11/32,47/32}, {1/48,1/12,1/12,5/24,13/48,3/8,3/8,11/8}, {-5/96,5/32,5/32,19/96,25/96,29/96,37/96,145/96}, {0,1/16,1/16,7/48,5/24,13/48,25/48,61/48}, {1/48,1/12,1/12,1/8,3/16,7/24,13/24,31/24}, {0,1/16,9/80,9/80,3/10,33/80,33/80,113/80}, {1/32,1/32,1/32,11/96,17/96,17/96,53/96,125/96}, {5/96,5/96,5/96,3/32,5/32,19/96,55/96,127/96}, {1/32,1/32,1/32,11/96,17/96,25/96,37/96,133/96}, {5/96,5/96,5/96,3/32,5/32,9/32,13/32,45/32}, {1/32,1/32,1/32,11/96,17/96,25/96,49/96,121/96}, {5/96,5/96,5/96,3/32,5/32,9/32,17/32,41/32}, {1/32,1/32,13/160,13/160,43/160,51/160,71/160,231/160}, {1/32,1/32,13/160,13/160,23/160,31/160,91/160,211/160}, {0,1/16,9/80,9/80,7/40,23/80,43/80,103/80}, {1/32,1/32,13/160,13/160,23/160,133/480,193/480,673/480}, {1/32,1/32,13/160,13/160,23/160,133/480,253/480,613/480}, {5/96,5/96,5/96,17/96,23/96,9/32,13/32,45/32}, {5/96,5/96,49/480,23/160,33/160,143/480,263/480,623/480}, {5/96,5/96,49/480,23/160,53/160,203/480,203/480,683/480}, {1/160,19/160,77/480,77/480,121/480,151/480,151/480,631/480}, {3/80,7/80,31/240,31/240,53/240,53/240,113/240,293/240}, {3/80,7/80,7/80,41/240,53/240,53/240,113/240,293/240}, {1/32,3/32,13/96,13/96,17/96,23/96,47/96,119/96}, {1/16,1/16,5/48,5/48,7/48,7/48,25/48,61/48}, {1/16,1/16,5/48,5/48,7/48,11/48,17/48,65/48}, {1/16,1/16,5/48,5/48,7/48,11/48,23/48,59/48}, {-1/15,1/10,3/20,11/60,17/60,19/60,13/30,23/15}, {-1/24,1/8,7/40,5/24,31/120,7/24,49/120,181/120}, {-1/15,1/10,7/50,13/75,41/150,26/75,31/75,227/150}, {-1/30,1/15,47/300,19/100,29/100,109/300,31/75,227/150}, {-1/120,11/120,109/600,43/200,53/200,203/600,233/600,893/600}, {-1/30,1/15,7/60,13/60,19/60,7/20,2/5,3/2}, {-1/120,11/120,17/120,29/120,7/24,13/40,3/8,59/40}, {-1/120,11/120,17/120,7/40,13/40,43/120,49/120,181/120}, {-7/120,13/120,89/600,43/200,53/200,61/200,223/600,883/600}, {-1/24,1/8,33/200,119/600,149/600,193/600,233/600,893/600}, {-1/40,3/40,33/200,139/600,169/600,193/600,223/600,883/600}, {-1/60,1/20,1/10,1/5,3/10,1/3,9/20,29/20}, {-1/60,1/20,7/50,13/75,41/150,26/75,139/300,439/300}, {1/120,3/40,1/8,19/120,37/120,41/120,11/24,35/24}, {-1/60,1/20,9/100,19/100,29/100,109/300,43/100,143/100}, {1/120,3/40,1/8,9/40,11/40,37/120,17/40,57/40}, {-1/120,7/120,59/600,33/200,63/200,71/200,253/600,853/600}, {-1/120,7/120,89/600,43/200,53/200,61/200,253/600,853/600}, {1/120,3/40,23/200,43/200,53/200,203/600,81/200,281/200}, {1/120,3/40,23/200,89/600,179/600,223/600,263/600,863/600}, {1/120,3/40,33/200,119/600,149/600,193/600,263/600,863/600}, {-1/60,1/20,9/100,19/100,19/100,79/300,33/100,153/100}, {-1/60,1/20,1/20,3/20,1/4,17/60,7/20,31/20}, {1/120,3/40,3/40,7/40,9/40,31/120,13/40,61/40}, {-1/120,7/120,59/600,59/600,149/600,173/600,71/200,311/200}, {-1/30,1/30,11/150,7/50,6/25,7/25,26/75,116/75}, {-1/30,1/30,37/300,19/100,19/100,23/100,26/75,116/75}, {-1/60,1/20,1/10,1/5,1/5,7/30,7/20,31/20}, {-1/120,7/120,13/120,7/40,9/40,9/40,41/120,37/24}, {-1/60,1/20,7/50,13/75,13/75,37/150,109/300,469/300}, {-1/120,7/120,89/600,89/600,119/600,143/600,71/200,311/200}, {1/120,3/40,3/40,13/120,31/120,7/24,43/120,187/120}, {-1/120,7/120,7/120,1/8,11/40,11/40,41/120,37/24}, {-1/30,1/30,37/300,37/300,67/300,79/300,19/50,79/50}, {-1/30,1/30,1/12,3/20,1/4,1/4,11/30,47/30}, {-1/120,7/120,13/120,13/120,31/120,31/120,3/8,63/40}, {1/40,1/40,13/200,79/600,169/600,193/600,193/600,913/600}, {1/60,1/60,17/300,47/300,77/300,33/100,33/100,153/100}, {1/24,1/24,49/600,109/600,139/600,61/200,61/200,301/200}, {1/24,1/24,49/600,23/200,53/200,203/600,203/600,923/600}, {1/40,1/40,23/200,109/600,139/600,163/600,193/600,913/600}, {1/24,1/24,79/600,33/200,43/200,173/600,203/600,923/600}, {1/24,1/24,11/120,23/120,29/120,11/40,13/40,61/40}, {-1/60,1/20,1/20,3/20,1/4,17/60,9/20,29/20}, {-1/30,1/30,11/150,7/50,6/25,7/25,67/150,217/150}, {-1/60,1/20,9/100,19/100,19/100,79/300,43/100,143/100}, {-1/40,1/40,13/200,13/200,33/200,51/200,111/200,271/200}, {-1/40,1/40,13/200,79/600,79/600,133/600,313/600,793/600}, {1/60,1/15,1/15,1/10,3/20,7/30,8/15,4/3}, {1/60,1/15,1/15,1/6,13/60,3/10,2/5,7/5}, {0,1/20,9/100,9/100,7/50,23/100,53/100,133/100}, {-9/200,9/200,19/200,97/600,121/600,151/600,211/600,811/600}, {1/40,3/40,13/120,13/120,17/120,23/120,59/120,31/24}, {-1/50,1/50,7/100,41/300,53/300,73/300,103/300,403/300}, {0,1/20,1/20,7/60,1/6,17/60,23/60,83/60}, {0,1/20,1/12,1/12,1/6,17/60,23/60,83/60}, {1/40,3/40,3/40,17/120,17/120,31/120,43/120,163/120}, {1/40,3/40,13/120,13/120,17/120,31/120,43/120,163/120}, {3/100,7/100,7/100,41/300,53/300,73/300,103/300,403/300}, {3/100,7/100,31/300,31/300,53/300,73/300,103/300,403/300}, {-1/120,1/24,1/24,3/40,7/40,31/120,67/120,163/120}, {-1/120,1/24,1/24,17/120,29/120,13/40,17/40,57/40}, {-1/40,1/40,13/200,79/600,139/600,193/600,253/600,853/600}, {0,1/20,9/100,9/100,6/25,33/100,43/100,143/100}, {1/60,1/15,1/15,1/10,1/4,1/3,13/30,43/30}, {1/60,1/60,8/75,7/50,6/25,47/150,139/300,439/300}, {1/60,1/60,1/15,1/6,4/15,3/10,9/20,29/20}, {0,1/20,1/20,7/60,4/15,19/60,5/12,17/12}, {1/24,1/24,11/120,1/8,11/40,37/120,11/24,35/24}, {1/40,1/40,23/200,109/600,139/600,163/600,253/600,853/600}, {1/24,1/24,11/120,23/120,29/120,11/40,17/40,57/40}, {1/24,1/24,79/600,33/200,43/200,173/600,263/600,863/600}, {-1/120,7/120,7/120,1/8,11/40,11/40,53/120,173/120}, {1/120,3/40,3/40,7/40,9/40,31/120,17/40,57/40}, {-1/120,7/120,59/600,59/600,149/600,173/600,91/200,291/200}, {1/120,3/40,3/40,13/120,31/120,7/24,11/24,35/24}, {0,1/20,1/20,7/60,1/6,13/60,31/60,79/60}, {0,1/20,1/12,1/12,1/6,13/60,31/60,79/60}, {1/200,19/200,19/200,97/600,121/600,151/600,211/600,811/600}, {1/200,19/200,77/600,77/600,121/600,151/600,211/600,811/600}, {1/40,3/40,3/40,17/120,17/120,23/120,59/120,31/24}, {-1/60,1/20,9/100,37/300,67/300,89/300,169/300,409/300}, {-1/120,7/120,59/600,33/200,43/200,51/200,313/600,793/600}, {1/120,3/40,23/200,89/600,119/600,163/600,323/600,803/600}, {0,1/20,1/20,7/60,1/6,17/60,29/60,77/60}, {0,1/20,1/12,1/12,1/6,17/60,29/60,77/60}, {1/40,3/40,13/120,13/120,17/120,31/120,11/24,151/120}, {3/100,7/100,7/100,41/300,53/300,73/300,133/300,373/300}, {3/100,7/100,31/300,31/300,53/300,73/300,133/300,373/300}, {1/40,3/40,3/40,17/120,17/120,31/120,11/24,151/120}, {-1/50,1/50,7/100,41/300,53/300,73/300,133/300,373/300}, {1/60,1/60,17/300,47/300,77/300,33/100,43/100,143/100}, {0,1/20,9/100,47/300,31/150,89/300,149/300,389/300}, {0,1/20,9/100,47/300,23/75,119/300,119/300,419/300}, {1/40,1/40,13/200,79/600,109/600,133/600,313/600,793/600}, {1/40,1/40,13/200,79/600,169/600,193/600,253/600,853/600}, {1/24,1/24,49/600,109/600,139/600,61/200,81/200,281/200}, {1/40,1/40,13/200,79/600,109/600,173/600,233/600,833/600}, {1/40,1/40,13/200,79/600,109/600,173/600,293/600,773/600}, {1/24,1/24,11/120,1/8,11/40,37/120,43/120,187/120}, {1/60,1/60,1/15,1/6,4/15,3/10,7/20,31/20}, {1/60,1/60,8/75,7/50,6/25,47/150,109/300,469/300}, {1/60,1/60,17/300,9/100,19/100,79/300,169/300,409/300}, {1/24,1/24,49/600,23/200,33/200,143/600,323/600,803/600}, {1/24,1/24,49/600,23/200,53/200,203/600,263/600,863/600}, {-1/72,1/24,3/40,19/120,29/120,109/360,43/120,61/40}, {-1/144,7/144,59/720,11/80,21/80,71/240,253/720,1093/720}, {1/144,1/16,23/240,89/720,179/720,223/720,263/720,1103/720}, {-1/144,7/144,89/720,43/240,53/240,61/240,253/720,1093/720}, {1/144,1/16,23/240,43/240,53/240,203/720,27/80,361/240}, {1/144,1/16,5/48,3/16,11/48,37/144,17/48,73/48}, {1/144,1/16,11/80,119/720,149/720,193/720,263/720,1103/720}, {1/144,1/16,5/48,19/144,37/144,41/144,55/144,223/144}, {-1/72,1/24,1/12,1/6,1/4,5/18,3/8,37/24}, {-1/72,1/24,7/60,13/90,41/180,13/45,139/360,559/360}, {0,1/24,3/40,47/360,23/90,119/360,149/360,509/360}, {0,1/24,3/40,47/360,31/180,89/360,179/360,479/360}, {-1/72,1/24,3/40,19/120,29/120,109/360,53/120,173/120}, {-1/144,7/144,59/720,11/80,21/80,71/240,313/720,1033/720}, {1/144,1/16,23/240,43/240,53/240,203/720,101/240,341/240}, {1/144,1/16,23/240,89/720,179/720,223/720,323/720,1043/720}, {-1/8,1/8,1/8,1/8,1/8,1/8,1/8,7/8}, {0,0,0,0,1/4,1/4,1/4,3/4}, {0,0,0,1/4,1/4,1/4,1/4,1}, {1/8,1/8,1/8,1/8,1/8,1/8,1/8,9/8}, {-1/8,1/8,1/8,5/24,5/24,5/24,5/24,29/24}, {-1/12,1/12,1/12,1/12,1/12,1/3,1/3,13/12}, {-1/16,1/16,1/16,1/16,1/16,5/16,5/16,15/16}, {-1/16,1/16,1/16,3/16,3/16,3/16,3/16,15/16}, {0,0,0,0,1/6,1/6,1/6,1}, {0,0,0,1/8,1/8,1/8,1/8,1}, {-1/12,1/12,1/12,1/12,1/12,1/12,1/3,4/3}, {-1/12,1/12,1/12,1/12,1/12,1/12,7/12,13/12}, {0,0,0,0,0,0,1/2,1}, {0,0,0,1/10,1/10,1/10,3/5,11/10}, {1/16,1/16,1/16,1/16,1/16,1/16,9/16,17/16}, {0,0,0,0,0,1/4,1/4,1}, {0,0,0,1/10,1/10,7/20,7/20,11/10}, {0,0,0,0,7/24,7/24,7/24,9/8}, {0,0,0,1/10,9/40,9/40,9/40,49/40}, {-1/24,1/24,1/24,1/8,7/24,7/24,7/24,9/8}, {0,0,1/8,1/8,7/24,7/24,7/24,9/8}, {-1/20,1/20,1/20,1/20,2/5,2/5,2/5,7/5}, {-1/24,1/24,1/24,9/40,9/40,9/40,9/40,49/40}, {0,0,0,1/10,1/10,4/15,4/15,19/15}, {0,0,0,1/10,4/15,4/15,4/15,11/10}, {0,0,1/8,9/40,9/40,9/40,9/40,49/40}, {1/8,1/8,1/8,9/40,9/40,9/40,9/40,49/40}, {0,0,1/12,1/12,1/12,1/12,7/12,13/12}, {0,0,1/12,1/12,1/12,1/4,1/4,5/4}, {0,0,1/12,1/12,1/12,1/3,1/3,13/12}, {0,0,1/12,1/12,5/24,5/24,5/24,29/24}, {0,0,1/12,1/12,1/4,1/4,1/4,13/12}, {0,0,1/12,11/60,11/60,11/60,11/60,71/60}, {0,0,1/12,5/24,5/24,5/24,5/24,13/12}, {1/16,1/16,7/48,7/48,7/48,7/48,7/48,55/48}, {1/16,1/16,1/16,1/16,1/16,5/16,5/16,17/16}, {1/16,1/16,1/16,1/16,3/16,3/16,3/16,19/16}, {1/16,1/16,1/16,3/16,3/16,3/16,3/16,17/16}, {1/8,1/8,1/8,1/8,7/24,7/24,7/24,9/8}, {-1/18,1/18,1/18,1/18,5/36,11/36,11/36,41/36}, {-1/18,1/18,5/36,5/36,5/36,11/36,11/36,41/36}, {-1/18,1/18,1/18,1/18,5/36,5/36,11/36,47/36}, {0,0,1/12,1/12,1/12,1/12,7/12,5/4}, {-1/18,1/18,1/18,1/18,1/18,1/6,1/3,4/3}, {0,0,1/12,3/20,3/20,3/20,19/60,79/60}, {1/36,5/36,5/36,5/36,5/36,5/36,11/36,47/36}, {1/12,1/12,1/12,3/20,3/20,3/20,19/60,79/60}, {-5/72,5/72,5/72,1/8,1/8,5/24,13/24,29/24}, {-1/24,1/24,1/8,1/8,1/8,5/24,13/24,29/24}, {-4/45,4/45,4/45,4/45,7/45,7/45,22/45,52/45}, {-1/12,1/12,1/12,5/36,5/36,5/36,17/36,41/36}, {0,0,0,0,0,1/9,11/18,23/18}, {0,0,0,0,1/12,1/12,7/12,5/4}, {0,0,1/18,1/18,1/18,1/6,1/2,7/6}, {1/24,1/24,1/24,1/24,1/24,11/72,35/72,83/72}, {1/24,1/24,1/24,1/24,1/8,1/8,11/24,9/8}, {-1/30,1/30,1/30,1/30,4/15,4/15,3/5,19/15}, {0,0,0,1/9,5/18,5/18,11/18,23/18}, {0,0,1/18,1/18,5/18,5/18,11/18,23/18}, {0,0,0,1/15,1/15,8/45,23/45,53/45}, {0,0,0,1/15,3/20,3/20,29/60,23/20}, {1/36,1/36,1/36,7/36,7/36,1/4,7/12,5/4}, {0,0,5/36,5/36,7/36,7/36,19/36,43/36}, {0,0,1/12,7/36,7/36,7/36,11/18,23/18}, {0,0,3/20,3/20,3/20,13/60,19/30,13/10}, {1/24,1/24,1/24,1/24,7/24,7/24,5/8,31/24}, {1/36,5/36,5/36,5/36,5/36,5/36,17/36,41/36}, {-3/40,3/40,3/40,3/40,17/120,121/360,121/360,481/360}, {-1/30,1/30,1/30,1/30,4/15,17/45,17/45,62/45}, {-5/72,5/72,5/72,1/8,1/8,23/72,23/72,95/72}, {0,0,1/18,1/18,5/18,7/18,7/18,25/18}, {1/36,1/36,1/36,7/36,7/36,13/36,13/36,49/36}, {-1/24,1/24,1/8,1/8,1/8,23/72,23/72,95/72}, {0,0,5/36,5/36,7/36,11/36,11/36,47/36}, {1/24,1/24,1/24,1/24,7/24,29/72,29/72,101/72}, {-1/12,1/12,1/12,5/36,5/36,11/36,11/36,41/36}, {0,0,0,1/15,3/20,19/60,19/60,23/20}, {-1/36,1/36,1/36,1/12,5/18,5/18,5/18,7/6}, {0,0,1/12,3/20,7/30,7/30,7/30,37/30}, {0,0,1/12,1/12,5/18,5/18,5/18,7/6}, {1/12,1/12,1/12,1/12,5/18,5/18,5/18,7/6}, {0,0,1/18,11/90,7/30,7/30,7/30,101/90}, {0,0,1/12,3/20,47/180,47/180,47/180,23/20}, {-3/40,3/40,3/40,3/40,37/120,47/120,47/120,167/120}, {-1/36,1/36,1/36,3/20,3/20,3/20,29/60,23/20}, {-1/36,1/36,1/36,3/20,3/20,47/180,47/180,227/180}, {-1/36,1/36,1/36,3/20,3/20,19/60,19/60,23/20}, {1/12,1/12,1/12,3/20,3/20,3/20,29/60,23/20}, {-1/36,1/36,1/36,3/20,7/30,7/30,7/30,37/30}, {1/12,1/12,1/12,3/20,7/30,7/30,7/30,37/30}, {-1/36,1/36,1/36,3/20,47/180,47/180,47/180,23/20}, {1/12,1/12,1/12,3/20,47/180,47/180,47/180,23/20}, {0,0,1/12,3/20,3/20,3/20,29/60,23/20}, {0,0,1/12,3/20,3/20,47/180,47/180,227/180}, {0,0,1/12,3/20,3/20,19/60,19/60,23/20}, {1/12,1/12,1/12,3/20,3/20,47/180,47/180,227/180}, {1/12,1/12,1/12,3/20,3/20,19/60,19/60,23/20}, {1/24,1/24,7/72,13/72,13/72,13/72,13/72,79/72}, {0,0,0,1/9,5/18,7/18,7/18,25/18}, {0,0,1/18,11/90,11/90,13/45,13/45,101/90}, {0,0,1/18,1/18,5/36,5/36,17/36,41/36}, {0,0,1/18,1/18,5/36,11/36,11/36,41/36}, {0,0,1/18,11/90,11/90,11/90,41/90,101/90}, {-1/30,1/30,31/180,31/180,53/180,53/180,53/180,233/180}, {-1/72,7/72,7/72,7/72,5/24,5/24,5/24,79/72}, {-1/72,7/72,7/72,13/72,13/72,13/72,13/72,79/72}, {-1/72,7/72,7/72,7/72,7/72,7/72,31/72,79/72}, {1/24,1/24,1/24,13/120,13/120,13/120,53/120,133/120}, {1/24,1/24,7/72,7/72,7/72,7/72,31/72,79/72}, {-1/72,7/72,7/72,7/72,7/72,19/72,19/72,79/72}, {1/24,1/24,1/24,1/24,1/8,7/24,7/24,9/8}, {1/24,1/24,1/24,13/120,13/120,11/40,11/40,133/120}, {1/24,1/24,1/24,13/120,79/360,79/360,79/360,133/120}, {1/24,1/24,7/72,7/72,7/72,19/72,19/72,79/72}, {1/24,1/24,7/72,7/72,5/24,5/24,5/24,79/72}, {-1/72,7/72,59/360,59/360,59/360,59/360,59/360,79/72}, {1/12,1/12,5/36,5/36,5/36,5/36,11/36,47/36}, {1/12,1/12,5/36,5/36,5/36,5/36,17/36,41/36}, {1/36,5/36,5/36,5/36,5/36,11/36,11/36,41/36}, {1/36,5/36,5/36,5/36,1/4,1/4,1/4,41/36}, {1/36,5/36,5/36,2/9,2/9,2/9,2/9,41/36}, {1/12,1/12,5/36,5/36,5/36,1/4,1/4,5/4}, {1/12,1/12,5/36,5/36,5/36,11/36,11/36,41/36}, {1/12,1/12,5/36,5/36,2/9,2/9,2/9,11/9}, {1/12,1/12,5/36,5/36,1/4,1/4,1/4,41/36}, {1/12,1/12,5/36,37/180,37/180,37/180,37/180,217/180}, {1/12,1/12,5/36,2/9,2/9,2/9,2/9,41/36}, {-1/24,1/12,2/15,31/120,31/120,7/20,7/20,59/40}, {-1/32,3/32,23/160,23/160,53/160,61/160,61/160,241/160}, {-1/15,1/15,1/15,1/15,7/60,1/5,9/20,6/5}, {-1/16,1/16,1/16,5/48,1/6,1/6,5/12,7/6}, {-1/24,1/24,1/24,11/120,37/240,37/240,97/240,277/240}, {-1/24,1/24,5/48,37/240,37/240,37/240,97/240,277/240}, {-1/16,1/16,1/16,5/48,1/6,1/4,1/4,5/4}, {-1/16,1/16,1/16,5/48,5/48,3/16,7/16,19/16}, {-1/24,1/24,1/24,11/120,11/120,7/40,17/40,47/40}, {-1/24,1/24,5/48,5/48,5/48,3/16,7/16,19/16}, {-1/16,1/16,1/16,5/48,1/6,7/24,7/24,7/6}, {-1/24,1/24,1/24,11/120,37/240,67/240,67/240,277/240}, {-1/24,1/24,1/24,1/24,5/48,3/16,7/16,19/16}, {-1/24,1/24,5/48,5/48,1/6,1/4,1/4,5/4}, {1/48,5/48,5/48,5/48,1/6,1/6,5/12,7/6}, {1/48,5/48,5/48,5/48,1/6,1/4,1/4,5/4}, {1/48,5/48,5/48,5/48,1/6,7/24,7/24,7/6}, {-1/24,1/24,5/48,37/240,37/240,19/80,19/80,99/80}, {1/48,5/48,5/48,37/240,13/60,13/60,13/60,73/60}, {1/48,5/48,5/48,37/240,19/80,19/80,19/80,277/240}, {1/48,5/48,5/48,37/240,37/240,37/240,97/240,277/240}, {-1/24,1/24,5/48,5/48,1/6,1/6,5/12,7/6}, {-1/24,1/24,5/48,5/48,1/6,7/24,7/24,7/6}, {-1/24,1/24,5/48,37/240,37/240,67/240,67/240,277/240}, {-1/24,1/24,5/48,37/240,13/60,13/60,13/60,73/60}, {-1/24,1/24,5/48,37/240,19/80,19/80,19/80,277/240}, {1/48,5/48,5/48,5/48,5/48,3/16,7/16,19/16}, {1/48,5/48,5/48,37/240,37/240,19/80,19/80,99/80}, {1/48,5/48,5/48,37/240,37/240,67/240,67/240,277/240}, {-5/48,5/48,13/60,13/60,13/60,4/15,33/80,123/80}, {-7/96,13/96,13/96,13/96,31/96,31/96,13/32,49/32}, {-1/12,1/8,1/8,1/4,1/4,7/24,3/8,3/2}, {-5/48,5/48,1/6,1/4,1/4,1/4,19/48,73/48}, {-9/160,9/160,47/480,47/480,91/480,121/480,241/480,601/480}, {-9/160,9/160,19/160,19/160,27/160,37/160,77/160,197/160}, {-1/32,1/32,7/96,7/96,23/96,29/96,53/96,125/96}, {-1/32,1/32,13/96,13/96,17/96,23/96,47/96,119/96}, {-1/40,7/80,7/80,7/80,1/5,21/80,41/80,101/80}, {0,1/16,1/16,1/16,1/4,5/16,9/16,21/16}, {-9/160,9/160,9/160,67/480,91/480,121/480,241/480,601/480}, {-1/24,1/24,5/48,37/240,37/240,37/240,67/240,307/240}, {-5/96,5/96,5/96,3/32,3/32,5/32,17/32,41/32}, {-1/32,1/32,1/32,1/32,1/32,17/96,53/96,125/96}, {-1/32,1/32,3/32,3/32,3/32,5/32,17/32,41/32}, {-1/32,1/32,3/32,3/32,3/32,23/96,35/96,131/96}, {-11/240,11/240,11/240,7/80,11/80,11/80,41/80,101/80}, {-1/40,1/40,1/40,13/120,19/120,19/120,8/15,77/60}, {-1/40,1/40,31/240,31/240,53/240,53/240,83/240,323/240}, {-1/16,1/16,1/16,5/48,1/6,1/6,7/24,31/24}, {-1/48,1/48,1/48,1/16,1/8,1/8,1/2,5/4}, {-9/160,9/160,9/160,9/160,17/160,27/160,87/160,207/160}, {-1/40,1/40,1/15,1/15,19/120,19/120,8/15,77/60}, {-1/40,1/40,7/80,7/80,11/80,11/80,41/80,101/80}, {-1/40,1/40,1/40,1/40,3/40,19/120,8/15,77/60}, {-1/15,1/15,1/15,1/15,7/60,1/5,13/40,53/40}, {-1/24,1/24,5/48,5/48,5/48,3/16,5/16,21/16}, {-5/96,5/96,5/96,3/32,3/32,23/96,35/96,131/96}, {-9/160,9/160,9/160,9/160,17/160,121/480,181/480,661/480}, {-1/16,1/16,1/16,5/48,5/48,3/16,5/16,21/16}, {-1/48,1/48,1/48,1/16,1/16,7/48,25/48,61/48}, {1/48,5/48,5/48,5/48,5/48,3/16,5/16,21/16}, {-1/24,1/24,5/48,5/48,1/6,1/6,7/24,31/24}, {0,0,1/16,1/16,1/8,1/8,1/2,5/4}, {-9/160,9/160,9/160,9/160,37/160,47/160,67/160,227/160}, {-1/40,1/40,1/40,1/40,1/5,17/60,49/120,169/120}, {0,0,1/24,1/24,5/24,5/24,7/12,4/3}, {1/48,1/48,1/48,7/48,7/48,13/48,19/48,67/48}, {0,0,1/16,7/48,7/48,7/48,25/48,61/48}, {0,0,5/48,5/48,7/48,7/48,25/48,61/48}, {1/160,9/160,9/160,9/160,27/160,27/160,87/160,207/160}, {1/48,5/48,5/48,5/48,1/6,1/6,7/24,31/24}, {1/48,5/48,5/48,37/240,37/240,37/240,67/240,307/240}, {3/80,7/80,7/80,7/80,11/80,11/80,41/80,101/80}, {-1/48,1/16,1/16,3/16,3/16,11/48,9/16,21/16}, {-1/32,1/32,3/32,17/96,17/96,23/96,47/96,119/96}, {0,0,1/20,1/20,1/20,11/60,67/120,157/120}, {0,0,1/16,1/16,1/16,7/48,25/48,61/48}, {1/16,1/16,1/16,1/16,1/16,7/48,25/48,61/48}, {0,0,0,1/12,5/24,5/24,7/12,4/3}, {1/16,1/16,1/16,1/16,1/8,1/8,1/2,5/4}, {0,0,0,1/12,5/24,7/24,13/24,31/24}, {-1/96,7/96,7/96,7/96,25/96,25/96,19/32,43/32}, {0,0,1/20,2/15,31/120,37/120,67/120,157/120}, {0,0,1/16,7/48,13/48,13/48,7/12,4/3}, {1/16,1/16,1/16,9/80,9/80,47/240,107/240,287/240}, {1/48,1/48,1/48,7/48,7/48,13/48,25/48,61/48}, {1/48,1/48,1/48,1/16,1/16,3/16,9/16,21/16}, {1/32,1/32,1/32,1/32,7/32,7/32,19/32,43/32}, {1/32,1/32,3/32,3/32,9/32,9/32,19/32,43/32}, {3/32,3/32,3/32,3/32,5/32,5/32,13/32,37/32}, {0,0,5/48,5/48,7/48,11/48,23/48,59/48}, {0,1/16,1/16,1/16,1/4,19/48,19/48,67/48}, {0,0,1/24,1/24,5/24,7/24,13/24,31/24}, {1/32,1/32,1/32,1/32,7/32,29/96,53/96,125/96}, {0,0,1/24,1/24,1/12,1/6,13/24,31/24}, {0,0,1/24,1/24,5/24,7/24,5/12,17/12}, {-1/32,1/32,13/96,13/96,17/96,31/96,31/96,127/96}, {0,0,5/48,5/48,7/48,11/48,17/48,65/48}, {1/48,1/48,1/48,7/48,13/48,19/48,19/48,67/48}, {1/48,1/48,1/48,7/48,13/48,5/16,9/16,21/16}, {1/16,1/16,5/48,5/48,5/48,3/16,7/16,19/16}, {-1/20,1/20,1/20,1/12,2/15,1/5,2/5,6/5}, {1/120,3/40,3/40,7/40,13/40,43/120,17/40,57/40}, {0,1/20,1/20,1/20,1/5,1/4,11/20,27/20}, {-1/40,1/40,7/120,7/120,11/120,5/24,61/120,157/120}, {-1/40,1/40,7/120,7/120,23/120,37/120,49/120,169/120}, {-1/40,1/40,13/120,13/120,17/120,31/120,43/120,163/120}, {1/60,1/60,1/15,1/6,4/15,3/10,11/20,27/20}, {1/120,3/40,3/40,13/120,31/120,7/24,67/120,163/120}, {1/120,3/40,3/40,7/40,9/40,31/120,21/40,53/40}, {0,0,1/12,1/12,7/60,11/60,29/60,77/60}, {-1/40,1/40,7/120,7/120,23/120,37/120,61/120,157/120}, {1/24,1/24,1/24,17/120,7/24,47/120,47/120,167/120}, {1/24,1/24,1/24,3/40,9/40,13/40,17/40,57/40}, {1/24,1/24,1/24,3/40,9/40,13/40,21/40,53/40}, {-1/24,1/8,1/8,19/120,37/120,41/120,49/120,181/120}, {1/24,1/24,1/24,17/120,23/120,7/24,59/120,31/24}, {1/24,1/24,1/24,17/120,23/120,7/24,47/120,167/120}, {1/24,1/24,1/24,3/40,1/8,9/40,21/40,53/40}, {-5/144,5/48,7/48,25/144,43/144,47/144,61/144,217/144}, {1/144,1/16,5/48,3/16,5/16,49/144,7/16,23/16}, {-1/48,1/48,13/144,13/144,17/144,31/144,67/144,187/144}, {0,1/24,5/72,5/72,5/36,17/72,35/72,95/72}, {1/72,1/18,1/18,5/36,13/72,1/4,1/2,4/3}, {1/72,1/72,1/72,7/72,13/72,19/72,37/72,97/72}, {5/144,5/144,5/144,1/16,3/16,13/48,25/48,65/48}, {-1/6,1/6,1/6,1/6,1/6,1/6,1/6,7/6}, {0,0,0,0,0,0,0,1}, {0,0,0,0,0,0,1/2,1/2}, {0,0,0,0,0,1/3,1/3,2/3}, {0,0,0,0,1/3,1/3,1/3,1}, {0,0,0,1/5,1/5,1/5,1/5,4/5}, {0,0,0,1/5,1/5,1/5,1/5,6/5}, {0,0,1/6,1/6,1/6,1/6,1/6,5/6}, {0,0,1/6,1/6,1/6,1/6,1/6,7/6}, {0,0,1/5,1/5,1/5,1/5,1/5,1}, {0,1/6,1/6,1/6,1/6,1/6,1/6,1}, {1/6,1/6,1/6,1/6,1/6,1/6,1/6,5/6}, {-1/12,1/12,1/12,1/12,1/12,1/4,1/4,5/4}, {-1/12,1/12,1/12,1/12,5/24,5/24,5/24,29/24}, {-1/12,1/12,1/12,1/12,1/4,1/4,1/4,13/12}, {-1/12,1/12,1/12,11/60,11/60,11/60,11/60,71/60}, {-1/12,1/12,1/12,5/24,5/24,5/24,5/24,13/12}, {-1/12,1/12,11/60,11/60,11/60,11/60,11/60,13/12}, {-1/12,1/12,5/24,5/24,5/24,5/24,5/24,29/24}, {-1/16,1/16,1/16,1/16,11/48,11/48,11/48,15/16}, {-7/48,7/48,7/48,7/48,7/48,13/48,13/48,61/48}, {-2/15,2/15,2/15,2/15,7/30,7/30,7/30,37/30}, {0,0,1/10,1/10,1/10,1/10,1/10,1}, {0,1/12,1/12,1/12,1/12,1/12,1/12,1}, {1/12,1/12,1/12,1/12,1/12,1/12,1/12,11/12}, {0,0,0,1/10,1/10,1/10,7/20,27/20}, {0,0,1/12,1/12,1/12,1/12,1/3,4/3}, {1/16,1/16,1/16,1/16,1/16,1/16,5/16,21/16}, {-1/16,1/16,1/16,1/16,1/16,1/16,9/16,15/16}, {0,0,0,0,0,1/6,2/3,5/6}, {0,0,0,0,1/8,1/8,5/8,7/8}, {0,0,0,1/10,1/10,1/10,3/5,9/10}, {0,0,1/12,1/12,1/12,1/12,7/12,11/12}, {1/12,1/12,1/12,1/12,1/12,1/12,7/12,11/12}, {0,0,0,0,1/8,3/8,3/8,7/8}, {0,0,0,1/10,1/10,7/20,7/20,9/10}, {0,0,1/12,1/12,1/12,1/3,1/3,11/12}, {1/12,1/12,1/12,1/12,1/12,1/3,1/3,11/12}, {0,0,0,1/10,4/15,4/15,4/15,9/10}, {0,0,1/12,1/12,1/4,1/4,1/4,11/12}, {1/12,1/12,1/12,5/24,5/24,5/24,5/24,11/12}, {0,0,1/12,5/24,5/24,5/24,5/24,11/12}, {0,0,11/60,11/60,11/60,11/60,11/60,13/12}, {-1/16,1/16,13/80,13/80,13/80,13/80,13/80,15/16}, {1/12,1/12,11/60,11/60,11/60,11/60,11/60,11/12}, {-1/16,7/48,7/48,7/48,7/48,7/48,7/48,15/16}, {-1/48,7/48,7/48,7/48,7/48,7/48,7/48,55/48}, {1/16,1/16,1/16,1/16,1/16,11/48,11/48,59/48}, {1/16,1/16,1/16,1/16,11/48,11/48,11/48,17/16}, {1/16,1/16,1/16,13/80,13/80,13/80,13/80,93/80}, {1/16,1/16,13/80,13/80,13/80,13/80,13/80,17/16}, {1/16,7/48,7/48,7/48,7/48,7/48,7/48,17/16}, {7/48,7/48,7/48,7/48,7/48,7/48,7/48,47/48}, {3/16,3/16,3/16,3/16,3/16,3/16,3/16,19/16}, {1/48,7/48,7/48,7/48,7/48,7/48,7/48,41/48}, {1/12,1/12,1/12,1/12,1/4,1/4,1/4,11/12}, {1/12,1/6,1/6,1/6,1/6,1/6,1/6,11/12}, {1/24,5/24,5/24,5/24,5/24,5/24,5/24,29/24}, {1/8,1/8,1/8,1/4,1/4,1/4,1/4,9/8}, {1/8,1/8,5/24,5/24,5/24,5/24,5/24,29/24}, {1/8,1/8,9/40,9/40,9/40,9/40,9/40,9/8}, {1/8,5/24,5/24,5/24,5/24,5/24,5/24,9/8}, {-7/72,7/72,7/72,7/72,7/72,7/24,7/24,31/24}, {-1/12,1/12,1/12,5/36,5/36,1/4,1/4,5/4}, {-1/12,1/12,1/12,5/36,2/9,2/9,2/9,11/9}, {-1/12,1/12,1/12,37/180,37/180,37/180,37/180,217/180}, {-1/18,1/18,1/18,1/18,5/36,5/36,17/36,41/36}, {-1/18,1/18,1/18,11/90,11/90,11/90,41/90,101/90}, {-4/45,4/45,4/45,4/45,7/45,4/15,4/15,19/15}, {-1/18,1/18,1/18,1/18,1/18,1/6,1/2,7/6}, {-1/18,1/18,1/18,1/18,5/36,1/4,1/4,5/4}, {-1/18,1/18,1/18,1/18,1/4,1/4,1/4,41/36}, {1/36,5/36,5/36,5/36,2/9,2/9,2/9,11/9}, {-1/18,1/18,1/18,11/90,11/90,7/30,7/30,37/30}, {-1/18,1/18,1/18,11/90,11/90,13/45,13/45,101/90}, {-1/18,1/18,1/18,11/90,37/180,37/180,37/180,217/180}, {-1/18,1/18,1/18,11/90,7/30,7/30,7/30,101/90}, {1/36,5/36,5/36,37/180,37/180,37/180,37/180,217/180}, {-1/18,1/18,5/36,5/36,5/36,5/36,17/36,41/36}, {-1/18,1/18,5/36,5/36,5/36,1/4,1/4,5/4}, {-1/18,1/18,5/36,5/36,2/9,2/9,2/9,11/9}, {-1/18,1/18,5/36,5/36,1/4,1/4,1/4,41/36}, {-1/18,1/18,5/36,37/180,37/180,37/180,37/180,217/180}, {1/36,5/36,5/36,5/36,5/36,1/4,1/4,5/4}, {-3/40,3/40,3/40,3/40,17/120,9/40,67/120,49/40}, {1/18,1/18,1/18,1/18,1/18,1/18,7/18,17/18}, {1/18,1/18,1/18,1/18,1/18,2/9,2/9,17/18}, {1/18,1/18,1/18,1/18,1/6,1/6,1/6,17/18}, {1/18,1/18,1/18,5/36,5/36,5/36,5/36,17/18}, {1/18,1/9,1/9,1/9,1/9,1/9,1/9,17/18}, {-7/72,7/72,7/72,7/72,7/72,13/72,25/72,97/72}, {-4/45,4/45,4/45,4/45,7/45,7/45,29/90,119/90}, {-1/12,1/12,1/12,5/36,5/36,5/36,11/36,47/36}, {-1/18,1/18,1/18,1/18,1/18,1/18,5/9,11/9}, {-1/18,1/18,1/18,11/90,11/90,11/90,13/45,58/45}, {-1/18,1/18,5/36,5/36,5/36,5/36,11/36,47/36}, {-1/30,1/30,1/30,1/30,1/10,1/10,3/5,19/15}, {-1/30,1/30,1/30,1/30,4/15,4/15,13/30,43/30}, {-1/36,1/36,1/36,3/20,3/20,3/20,19/60,79/60}, {-1/36,1/36,1/36,1/12,1/12,1/12,7/12,5/4}, {0,0,1/18,1/18,1/18,1/18,5/9,11/9}, {1/24,1/24,1/24,1/24,1/24,1/24,13/24,29/24}, {-7/72,7/72,7/72,7/72,7/72,13/72,37/72,85/72}, {1/72,7/72,7/72,7/72,7/72,7/72,31/72,65/72}, {0,0,0,1/15,1/15,1/15,17/30,37/30}, {0,0,0,1/15,47/180,47/180,47/180,23/20}, {-1/12,1/12,1/12,5/36,1/4,1/4,1/4,41/36}, {1/72,7/72,7/72,13/72,13/72,13/72,13/72,65/72}, {0,0,1/18,1/18,1/4,1/4,1/4,41/36}, {1/24,1/24,59/360,59/360,59/360,59/360,59/360,79/72}, {1/72,7/72,59/360,59/360,59/360,59/360,59/360,65/72}, {1/18,1/18,11/90,11/90,11/90,11/90,11/90,17/18}, {5/72,13/72,13/72,13/72,13/72,13/72,13/72,85/72}, {1/24,1/24,1/24,1/24,17/72,17/72,17/72,9/8}, {1/8,1/8,1/8,1/8,1/8,17/72,17/72,89/72}, {1/8,1/8,1/8,1/8,1/8,7/24,7/24,9/8}, {1/8,1/8,1/8,1/8,5/24,5/24,5/24,29/24}, {1/8,1/8,1/8,1/8,17/72,17/72,17/72,9/8}, {1/8,1/8,1/8,23/120,23/120,23/120,23/120,143/120}, {1/8,1/8,1/8,5/24,5/24,5/24,5/24,9/8}, {1/72,7/72,7/72,7/72,7/72,19/72,19/72,65/72}, {1/72,7/72,7/72,7/72,5/24,5/24,5/24,65/72}, {1/36,5/36,37/180,37/180,37/180,37/180,37/180,41/36}, {1/8,1/8,1/8,1/8,1/8,1/8,7/24,31/24}, {1/8,1/8,1/8,1/8,1/8,1/8,11/24,9/8}, {1/12,1/12,37/180,37/180,37/180,37/180,37/180,41/36}, {1/8,1/8,13/72,13/72,13/72,13/72,13/72,85/72}, {1/8,1/8,23/120,23/120,23/120,23/120,23/120,9/8}, {-7/96,7/96,7/96,7/96,7/96,7/32,15/32,39/32}, {-1/16,1/16,1/16,5/48,1/4,1/4,1/4,7/6}, {-1/16,1/16,1/16,37/240,37/240,19/80,19/80,99/80}, {-1/16,1/16,1/16,37/240,37/240,67/240,67/240,277/240}, {-1/16,1/16,1/16,37/240,13/60,13/60,13/60,73/60}, {-1/16,1/16,1/16,37/240,37/240,37/240,97/240,277/240}, {1/48,5/48,5/48,5/48,1/4,1/4,1/4,7/6}, {-1/16,1/16,1/16,37/240,19/80,19/80,19/80,277/240}, {-1/24,1/24,1/24,11/120,19/80,19/80,19/80,277/240}, {-1/24,1/24,5/48,5/48,1/4,1/4,1/4,7/6}, {-9/160,9/160,9/160,9/160,37/160,47/160,87/160,207/160}, {-7/96,7/96,7/96,7/96,7/96,13/96,49/96,121/96}, {-7/96,7/96,7/96,7/96,7/96,7/32,11/32,43/32}, {-1/16,1/16,1/16,5/48,5/48,5/48,23/48,59/48}, {-1/24,1/24,1/24,11/120,11/120,11/120,7/15,73/60}, {-1/24,1/24,5/48,5/48,5/48,5/48,23/48,59/48}, {-1/24,1/24,1/24,1/24,1/24,1/8,1/2,5/4}, {1/48,5/48,5/48,5/48,5/48,5/48,23/48,59/48}, {-1/15,1/15,1/15,1/15,7/60,7/60,59/120,149/120}, {-1/40,1/40,1/40,1/40,1/5,1/5,23/40,53/40}, {-1/16,1/16,1/16,37/240,37/240,37/240,67/240,307/240}, {-1/48,1/48,1/48,9/80,9/80,9/80,39/80,99/80}, {-1/24,1/24,1/24,1/24,5/48,5/48,23/48,59/48}, {0,0,1/16,9/80,9/80,9/80,39/80,99/80}, {1/16,1/16,1/16,9/80,9/80,9/80,39/80,99/80}, {3/32,3/32,3/32,3/32,3/32,17/96,41/96,113/96}, {-1/96,5/96,5/96,17/96,17/96,9/32,17/32,41/32}, {0,0,0,1/12,1/12,1/6,13/24,31/24}, {1/48,1/48,1/48,7/48,7/48,3/16,9/16,21/16}, {1/48,1/48,1/12,5/24,5/24,1/4,9/16,21/16}, {1/32,1/32,3/32,17/96,23/96,23/96,53/96,125/96}, {1/48,1/48,2/15,7/40,7/40,4/15,139/240,319/240}, {-1/40,1/40,31/240,31/240,53/240,53/240,113/240,293/240}, {0,0,1/16,9/80,9/80,47/240,107/240,287/240}, {0,0,9/80,47/240,47/240,59/240,67/120,157/120}, {1/32,1/32,23/160,23/160,33/160,41/160,91/160,211/160}, {-1/40,7/80,7/80,7/80,1/5,83/240,83/240,323/240}, {-5/96,5/96,5/96,3/32,3/32,23/96,47/96,119/96}, {-1/32,1/32,1/32,11/96,23/96,37/96,37/96,133/96}, {1/160,19/160,19/160,19/160,27/160,151/480,151/480,631/480}, {-9/160,9/160,9/160,9/160,37/160,181/480,181/480,661/480}, {-9/160,9/160,9/160,67/480,91/480,161/480,161/480,641/480}, {-9/160,9/160,47/480,47/480,91/480,161/480,161/480,641/480}, {-9/160,9/160,19/160,19/160,27/160,151/480,151/480,631/480}, {-1/40,1/40,31/240,31/240,53/240,73/240,73/240,313/240}, {-9/160,9/160,9/160,9/160,17/160,121/480,241/480,601/480}, {-1/40,1/40,1/40,1/40,1/5,17/60,8/15,77/60}, {0,0,0,0,1/8,5/24,7/12,4/3}, {-1/32,1/32,7/96,7/96,23/96,37/96,37/96,133/96}, {1/32,1/32,1/32,1/32,7/32,29/96,41/96,137/96}, {0,0,1/20,2/15,31/120,47/120,47/120,167/120}, {-1/32,1/32,3/32,3/32,3/32,23/96,47/96,119/96}, {-1/32,1/32,3/32,17/96,17/96,31/96,31/96,127/96}, {1/32,1/32,1/32,1/32,3/32,17/96,53/96,125/96}, {5/96,5/96,5/96,3/32,9/32,13/32,13/32,45/32}, {1/32,1/32,1/32,11/96,29/96,37/96,37/96,133/96}, {5/96,5/96,5/96,17/96,23/96,35/96,35/96,131/96}, {1/16,1/16,1/16,9/80,7/40,7/40,17/40,47/40}, {0,0,1/16,9/80,31/120,31/120,31/120,47/40}, {-5/48,5/48,5/48,3/16,5/16,5/16,19/48,73/48}, {-1/32,1/32,1/32,11/96,23/96,29/96,53/96,125/96}, {0,0,0,1/12,5/24,7/24,5/12,17/12}, {-1/24,1/24,1/24,1/8,1/4,1/4,7/12,4/3}, {5/96,5/96,5/96,3/32,9/32,31/96,55/96,127/96}, {-1/16,1/16,9/80,47/240,77/240,89/240,89/240,359/240}, {5/96,5/96,5/96,17/96,35/96,13/32,13/32,45/32}, {1/32,1/32,1/32,11/96,29/96,29/96,53/96,125/96}, {-1/48,1/48,1/48,9/80,9/80,47/240,107/240,287/240}, {-1/48,1/48,1/48,9/80,7/40,7/40,17/40,47/40}, {-1/48,1/48,1/48,9/80,7/40,3/10,3/10,47/40}, {-1/48,1/48,1/48,9/80,31/120,31/120,31/120,47/40}, {1/16,1/16,1/16,9/80,31/120,31/120,31/120,47/40}, {0,0,1/16,9/80,7/40,3/10,3/10,47/40}, {1/16,1/16,1/16,9/80,7/40,3/10,3/10,47/40}, {0,0,1/16,9/80,7/40,7/40,17/40,47/40}, {1/48,1/48,17/240,47/240,47/240,23/80,43/80,103/80}, {0,0,9/80,9/80,19/80,23/80,3/5,27/20}, {0,0,9/80,47/240,77/240,89/240,13/30,43/30}, {-9/160,9/160,77/480,77/480,121/480,151/480,151/480,631/480}, {1/48,1/48,2/15,31/120,31/120,7/20,33/80,113/80}, {1/32,1/32,3/32,17/96,35/96,35/96,41/96,137/96}, {1/32,1/32,23/160,23/160,53/160,61/160,71/160,231/160}, {5/96,13/96,89/480,89/480,89/480,89/480,89/480,109/96}, {5/96,13/96,13/96,13/96,13/96,13/96,37/96,109/96}, {3/32,3/32,3/32,23/160,23/160,23/160,63/160,183/160}, {5/96,13/96,13/96,13/96,13/96,25/96,25/96,109/96}, {3/32,3/32,3/32,3/32,5/32,9/32,9/32,37/32}, {5/96,13/96,13/96,13/96,7/32,7/32,7/32,109/96}, {3/32,3/32,3/32,23/160,109/480,109/480,109/480,183/160}, {5/96,13/96,13/96,19/96,19/96,19/96,19/96,109/96}, {3/32,3/32,3/32,23/160,23/160,43/160,43/160,183/160}, {1/32,1/32,13/160,13/160,43/160,193/480,193/480,673/480}, {-1/32,3/32,3/32,17/96,35/96,35/96,35/96,143/96}, {5/96,5/96,5/96,17/96,23/96,9/32,17/32,41/32}, {1/32,1/32,13/160,13/160,43/160,51/160,91/160,211/160}, {1/160,19/160,19/160,19/160,27/160,37/160,77/160,197/160}, {1/16,1/16,5/48,5/48,5/48,5/48,23/48,59/48}, {1/16,1/16,5/48,37/240,37/240,37/240,97/240,277/240}, {3/32,3/32,13/96,13/96,13/96,13/96,37/96,109/96}, {1/16,1/16,5/48,37/240,19/80,19/80,19/80,277/240}, {3/32,3/32,13/96,19/96,19/96,19/96,19/96,109/96}, {1/16,1/16,5/48,5/48,1/6,1/6,5/12,7/6}, {1/16,1/16,5/48,5/48,1/6,7/24,7/24,7/6}, {1/16,1/16,5/48,5/48,1/4,1/4,1/4,7/6}, {1/16,1/16,5/48,37/240,37/240,67/240,67/240,277/240}, {3/32,3/32,13/96,13/96,13/96,25/96,25/96,109/96}, {3/32,3/32,13/96,13/96,7/32,7/32,7/32,109/96}, {-1/15,1/10,19/100,67/300,67/300,89/300,31/75,227/150}, {-7/120,13/120,119/600,119/600,149/600,173/600,81/200,301/200}, {-7/120,13/120,89/600,89/600,179/600,203/600,81/200,301/200}, {-7/120,13/120,19/120,9/40,11/40,11/40,47/120,179/120}, {-1/15,1/10,3/20,1/4,1/4,17/60,2/5,3/2}, {-7/120,13/120,13/120,7/40,13/40,13/40,47/120,179/120}, {-1/40,3/40,23/200,109/600,199/600,223/600,223/600,883/600}, {-1/30,1/15,47/300,77/300,77/300,33/100,19/50,37/25}, {-1/40,3/40,33/200,33/200,63/200,71/200,81/200,301/200}, {-1/15,1/10,7/50,6/25,6/25,47/150,19/50,37/25}, {-1/30,1/15,8/75,31/150,23/75,19/50,19/50,37/25}, {-1/120,11/120,79/600,139/600,169/600,71/200,71/200,291/200}, {-1/120,11/120,79/600,33/200,63/200,233/600,233/600,893/600}, {-1/40,3/40,1/8,23/120,41/120,41/120,47/120,179/120}, {-7/120,13/120,19/120,19/120,37/120,37/120,17/40,61/40}, {-1/20,1/20,1/20,37/300,37/300,19/100,39/100,119/100}, {1/60,1/12,1/12,37/300,37/300,19/100,39/100,119/100}, {-1/20,1/20,1/20,37/300,13/75,13/75,28/75,88/75}, {-1/30,1/30,1/12,1/12,2/15,1/5,2/5,6/5}, {-1/20,1/20,1/20,37/300,13/75,41/150,41/150,88/75}, {-1/30,1/30,1/12,37/300,6/25,6/25,6/25,88/75}, {1/60,1/12,1/12,1/12,2/15,1/5,2/5,6/5}, {-1/30,1/30,1/12,37/300,37/300,19/100,39/100,119/100}, {-1/30,1/30,1/12,37/300,13/75,13/75,28/75,88/75}, {-1/30,1/30,1/12,37/300,13/75,41/150,41/150,88/75}, {1/60,1/12,1/12,37/300,6/25,6/25,6/25,88/75}, {1/60,1/12,1/12,37/300,13/75,13/75,28/75,88/75}, {1/60,1/12,1/12,37/300,13/75,41/150,41/150,88/75}, {-1/12,1/12,13/75,6/25,6/25,7/25,119/300,449/300}, {-1/120,7/120,13/120,7/40,13/40,13/40,53/120,173/120}, {-1/30,1/30,37/300,19/100,29/100,33/100,67/150,217/150}, {-1/60,1/20,7/50,6/25,6/25,47/150,43/100,143/100}, {-1/120,7/120,89/600,89/600,179/600,203/600,91/200,291/200}, {-9/200,9/200,77/600,77/600,121/600,151/600,271/600,751/600}, {1/24,1/24,1/24,17/120,7/24,13/40,13/40,61/40}, {1/40,1/40,23/200,23/200,53/200,61/200,71/200,311/200}, {1/40,1/40,3/40,17/120,7/24,7/24,41/120,37/24}, {1/60,1/60,8/75,31/150,31/150,7/25,33/100,153/100}, {-4/75,4/75,4/75,4/75,7/75,4/25,23/50,63/50}, {-1/20,1/20,1/20,1/12,2/15,2/15,13/30,37/30}, {1/60,1/12,1/12,1/12,1/12,3/20,9/20,5/4}, {-1/30,1/30,1/12,37/300,37/300,37/300,127/300,367/300}, {1/40,3/40,3/40,3/40,3/40,23/120,59/120,31/24}, {-1/40,1/40,1/40,11/120,23/120,29/120,13/24,161/120}, {-1/120,1/24,1/24,17/120,17/120,9/40,21/40,53/40}, {-1/40,1/40,7/120,7/120,23/120,29/120,13/24,161/120}, {-1/40,1/40,13/120,13/120,17/120,23/120,59/120,31/24}, {-1/40,1/40,3/40,17/120,17/120,23/120,59/120,31/24}, {-1/40,1/40,1/40,11/120,23/120,37/120,49/120,169/120}, {-9/200,9/200,9/200,9/200,17/200,121/600,301/600,781/600}, {-9/200,9/200,9/200,67/600,91/600,121/600,301/600,781/600}, {-9/200,9/200,47/600,47/600,91/600,121/600,301/600,781/600}, {-9/200,9/200,9/200,67/600,91/600,161/600,221/600,821/600}, {-9/200,9/200,77/600,77/600,121/600,151/600,211/600,811/600}, {-1/50,1/50,1/50,1/50,4/25,17/75,79/150,199/150}, {-1/50,1/50,1/50,13/150,19/150,29/150,37/75,97/75}, {-1/50,1/50,7/100,41/300,53/300,53/300,143/300,383/300}, {-9/200,9/200,19/200,19/200,27/200,37/200,97/200,257/200}, {-11/300,11/300,11/300,7/100,11/100,53/300,143/300,383/300}, {-9/200,9/200,9/200,9/200,37/200,47/200,107/200,267/200}, {-1/40,1/40,1/40,1/40,1/8,29/120,13/24,161/120}, {1/200,19/200,19/200,19/200,27/200,37/200,97/200,257/200}, {3/100,7/100,7/100,7/100,11/100,53/300,143/300,383/300}, {-1/20,1/20,1/20,1/12,1/12,3/20,9/20,5/4}, {-1/30,1/30,1/12,1/12,1/12,3/20,9/20,5/4}, {-1/24,1/24,1/24,3/40,3/40,23/120,59/120,31/24}, {-1/40,1/40,1/40,11/120,11/120,5/24,61/120,157/120}, {-1/40,1/40,3/40,3/40,3/40,23/120,59/120,31/24}, {-1/40,1/40,3/40,17/120,17/120,31/120,43/120,163/120}, {-9/200,9/200,47/600,47/600,91/600,161/600,221/600,821/600}, {-9/200,9/200,19/200,19/200,27/200,151/600,211/600,811/600}, {-1/50,1/50,4/75,4/75,19/150,29/150,37/75,97/75}, {-1/50,1/50,31/300,31/300,53/300,73/300,103/300,403/300}, {-1/50,1/50,7/100,7/100,11/100,53/300,143/300,383/300}, {-9/200,9/200,9/200,9/200,37/200,181/600,241/600,841/600}, {-1/30,1/30,1/12,1/12,2/15,2/15,13/30,37/30}, {-1/50,1/50,31/300,31/300,53/300,53/300,143/300,383/300}, {0,0,9/100,47/300,77/300,89/300,67/150,217/150}, {1/60,1/60,8/75,31/150,31/150,7/25,43/100,143/100}, {-1/50,7/100,7/100,7/100,4/25,21/100,51/100,131/100}, {-1/50,7/100,7/100,7/100,4/25,83/300,113/300,413/300}, {0,1/20,1/20,1/20,1/10,13/60,31/60,79/60}, {0,1/20,1/20,1/20,1/5,19/60,5/12,17/12}, {1/200,9/200,9/200,9/200,27/200,121/600,301/600,781/600}, {1/40,1/40,3/40,17/120,7/24,7/24,53/120,173/120}, {1/40,1/40,23/200,23/200,53/200,61/200,91/200,291/200}, {1/60,1/12,1/12,1/12,2/15,2/15,13/30,37/30}, {1/60,1/12,1/12,37/300,37/300,37/300,127/300,367/300}, {1/200,19/200,19/200,19/200,27/200,151/600,211/600,811/600}, {3/100,7/100,7/100,41/300,53/300,53/300,143/300,383/300}, {3/100,7/100,31/300,31/300,53/300,53/300,143/300,383/300}, {0,0,1/25,8/75,8/75,16/75,77/150,197/150}, {0,0,1/20,7/60,7/60,11/60,29/60,77/60}, {-1/30,1/30,11/150,7/50,6/25,7/25,41/75,101/75}, {-1/60,1/20,1/20,3/20,1/4,17/60,11/20,27/20}, {0,0,0,1/15,1/6,7/30,8/15,4/3}, {1/60,1/60,1/60,7/60,7/60,13/60,31/60,79/60}, {1/20,1/20,1/20,7/60,7/60,11/60,29/60,77/60}, {0,0,9/100,47/300,77/300,89/300,41/75,101/75}, {1/40,1/40,3/40,17/120,7/24,7/24,13/24,161/120}, {1/60,1/60,8/75,31/150,31/150,7/25,53/100,133/100}, {-1/60,1/20,9/100,19/100,19/100,79/300,53/100,133/100}, {1/40,1/40,23/200,109/600,139/600,163/600,313/600,793/600}, {1/24,1/24,11/120,23/120,29/120,11/40,21/40,53/40}, {1/60,1/60,8/75,7/50,6/25,47/150,169/300,409/300}, {1/24,1/24,11/120,1/8,11/40,37/120,67/120,163/120}, {1/24,1/24,79/600,33/200,43/200,173/600,323/600,803/600}, {-1/120,7/120,59/600,59/600,149/600,173/600,111/200,271/200}, {1/40,1/40,23/200,23/200,53/200,61/200,111/200,271/200}, {-1/50,7/100,7/100,7/100,4/25,83/300,143/300,383/300}, {-1/40,1/40,3/40,17/120,17/120,31/120,11/24,151/120}, {-1/40,1/40,1/40,11/120,23/120,37/120,61/120,157/120}, {1/200,19/200,19/200,97/600,121/600,191/600,191/600,791/600}, {0,1/20,1/20,7/60,4/15,23/60,23/60,83/60}, {-9/200,9/200,19/200,97/600,121/600,191/600,191/600,791/600}, {1/200,19/200,19/200,19/200,27/200,151/600,271/600,751/600}, {-9/200,9/200,9/200,67/600,91/600,161/600,281/600,761/600}, {-9/200,9/200,47/600,47/600,91/600,161/600,281/600,761/600}, {1/200,19/200,77/600,77/600,121/600,191/600,191/600,791/600}, {-9/200,9/200,19/200,19/200,27/200,151/600,271/600,751/600}, {-9/200,9/200,77/600,77/600,121/600,191/600,191/600,791/600}, {-1/50,1/50,31/300,31/300,53/300,73/300,133/300,373/300}, {1/40,1/40,1/40,1/40,7/40,29/120,13/24,161/120}, {0,0,1/30,1/30,1/6,7/30,8/15,4/3}, {-9/200,9/200,9/200,9/200,37/200,181/600,301/600,781/600}, {0,1/20,1/20,1/20,1/5,19/60,31/60,79/60}, {0,0,1/25,1/25,7/50,37/150,41/75,101/75}, {-1/40,1/40,13/120,13/120,17/120,31/120,11/24,151/120}, {-1/120,11/120,11/120,23/120,41/120,3/8,3/8,59/40}, {1/60,1/15,1/15,1/6,19/60,2/5,2/5,7/5}, {1/24,1/24,1/24,3/40,9/40,31/120,67/120,163/120}, {1/40,1/40,1/40,11/120,29/120,37/120,49/120,169/120}, {1/60,1/60,1/60,1/20,3/20,1/4,11/20,27/20}, {1/40,1/40,1/40,11/120,29/120,37/120,61/120,157/120}, {1/60,1/60,1/60,7/60,13/60,19/60,5/12,17/12}, {1/60,1/60,1/60,7/60,13/60,19/60,31/60,79/60}, {0,1/20,1/20,7/60,4/15,19/60,31/60,79/60}, {-1/120,1/24,1/24,17/120,29/120,13/40,21/40,53/40}, {-1/15,1/10,1/10,1/5,3/10,1/3,2/5,3/2}, {1/40,1/40,1/40,11/120,29/120,29/120,13/24,161/120}, {1/60,1/15,1/15,1/10,1/4,1/3,8/15,4/3}, {1/24,1/24,1/24,17/120,7/24,13/40,17/40,57/40}, {1/60,1/60,1/60,7/60,13/60,1/4,11/20,27/20}, {1/24,1/24,1/24,17/120,7/24,13/40,21/40,53/40}, {-1/12,1/12,2/15,1/5,3/10,3/10,5/12,91/60}, {-1/120,7/120,7/120,1/8,11/40,11/40,13/24,161/120}, {-9/200,9/200,19/200,97/600,121/600,151/600,271/600,751/600}, {1/40,1/40,13/200,79/600,169/600,193/600,313/600,793/600}, {1/60,1/60,17/300,47/300,77/300,33/100,53/100,133/100}, {1/24,1/24,49/600,109/600,139/600,61/200,101/200,261/200}, {-1/40,1/40,13/200,79/600,139/600,193/600,313/600,793/600}, {0,0,1/25,8/75,31/150,37/150,41/75,101/75}, {0,0,1/25,8/75,31/150,47/150,31/75,106/75}, {0,0,1/25,8/75,31/150,47/150,77/150,197/150}, {1/60,1/60,17/300,47/300,47/300,23/100,53/100,133/100}, {1/40,1/40,13/200,79/600,169/600,233/600,233/600,833/600}, {-1/12,1/12,37/300,19/100,29/100,33/100,119/300,449/300}, {1/24,1/24,49/600,109/600,199/600,81/200,81/200,281/200}, {0,0,9/100,47/300,77/300,89/300,26/75,116/75}, {-1/20,1/20,7/50,31/150,23/75,26/75,119/300,449/300}, {1/40,1/40,7/120,7/120,17/120,5/24,61/120,157/120}, {-1/12,1/12,13/75,13/75,41/150,47/150,43/100,153/100}, {1/60,1/60,8/75,31/150,23/75,19/50,43/100,143/100}, {1/24,1/24,11/120,23/120,41/120,3/8,17/40,57/40}, {1/24,1/24,79/600,33/200,63/200,233/600,263/600,863/600}, {1/40,1/40,23/200,109/600,199/600,223/600,253/600,853/600}, {1/24,1/24,79/600,139/600,169/600,71/200,81/200,281/200}, {-1/24,1/8,1/8,9/40,11/40,37/120,3/8,59/40}, {0,1/20,9/100,9/100,6/25,33/100,53/100,133/100}, {1/60,1/15,1/15,1/6,13/60,3/10,1/2,13/10}, {1/40,1/40,13/200,13/200,43/200,51/200,111/200,271/200}, {1/40,1/40,13/200,13/200,43/200,193/600,253/600,853/600}, {1/40,1/40,13/200,13/200,43/200,193/600,313/600,793/600}, {1/40,1/40,1/40,11/120,17/120,5/24,61/120,157/120}, {1/24,1/24,1/24,17/120,23/120,9/40,21/40,53/40}, {1/40,1/40,13/200,13/200,23/200,133/600,313/600,793/600}, {1/24,1/24,49/600,23/200,53/200,203/600,323/600,803/600}, {1/200,19/200,77/600,77/600,121/600,151/600,271/600,751/600}, {1/200,19/200,19/200,97/600,121/600,151/600,271/600,751/600}, {1/20,1/20,1/12,1/12,7/60,11/60,29/60,77/60}, {-1/18,1/12,19/120,29/120,29/120,109/360,2/5,89/60}, {-1/18,1/12,19/120,67/360,97/360,119/360,77/180,68/45}, {-1/18,1/12,1/8,5/24,7/24,23/72,5/12,3/2}, {-1/36,1/18,47/360,77/360,107/360,43/120,2/5,89/60}, {-1/18,1/12,7/60,1/5,17/60,31/90,2/5,89/60}, {-7/144,13/144,119/720,53/240,21/80,71/240,283/720,1063/720}, {-7/144,13/144,89/720,43/240,73/240,27/80,283/720,1063/720}, {-1/48,1/16,11/80,139/720,229/720,253/720,283/720,1063/720}, {-5/144,5/48,11/80,119/720,209/720,253/720,293/720,1073/720}, {-5/144,5/48,43/240,149/720,179/720,223/720,293/720,1073/720}, {-5/144,5/48,7/48,11/48,13/48,43/144,19/48,71/48}, {-7/144,13/144,119/720,119/720,209/720,233/720,101/240,361/240}, {-7/144,13/144,19/144,3/16,5/16,5/16,59/144,215/144}, {-1/144,11/144,109/720,43/240,73/240,263/720,293/720,1073/720}, {-1/144,11/144,79/720,139/720,229/720,91/240,91/240,117/80}, {-1/144,11/144,17/144,29/144,47/144,17/48,19/48,71/48}, {-1/144,11/144,109/720,169/720,199/720,27/80,91/240,117/80}, {-5/144,5/48,11/80,53/240,21/80,233/720,91/240,117/80}, {-1/72,1/24,7/60,1/5,17/60,31/90,53/120,173/120}, {1/144,1/16,11/80,53/240,21/80,233/720,101/240,341/240}, {1/144,1/16,23/240,43/240,73/240,263/720,101/240,341/240}, {-1/144,7/144,89/720,43/240,73/240,27/80,313/720,1033/720}, {1/144,1/16,11/80,119/720,209/720,253/720,323/720,1043/720}, {1/144,1/16,1/16,7/48,13/48,43/144,17/48,73/48}, {-1/144,7/144,89/720,89/720,179/720,203/720,91/240,371/240}, {-1/36,1/36,37/360,19/120,29/120,11/40,67/180,277/180}, {-1/144,7/144,13/144,7/48,13/48,13/48,53/144,221/144}, {1/48,1/48,23/240,109/720,199/720,223/720,253/720,1093/720}, {-1/72,1/24,7/60,1/5,1/5,47/180,43/120,61/40}, {5/144,5/144,79/720,139/720,169/720,71/240,27/80,361/240}, {5/144,5/144,49/720,109/720,199/720,27/80,27/80,361/240}, {-1/48,1/48,1/48,11/144,23/144,37/144,73/144,193/144}, {-3/80,3/80,3/80,67/720,91/720,161/720,341/720,941/720}, {-3/80,3/80,19/240,97/720,121/720,151/720,331/720,931/720}, {-3/80,3/80,77/720,77/720,121/720,151/720,331/720,931/720}, {-1/60,1/60,7/120,41/360,53/360,73/360,163/360,463/360}, {1/48,1/16,13/144,13/144,17/144,31/144,67/144,187/144}, {1/40,7/120,7/120,41/360,53/360,73/360,163/360,463/360}, {1/40,7/120,31/360,31/360,53/360,73/360,163/360,463/360}, {-1/48,1/48,13/240,79/720,139/720,193/720,373/720,973/720}, {0,1/24,1/24,7/72,2/9,19/72,37/72,97/72}, {0,1/24,1/24,1/24,1/6,19/72,37/72,97/72}, {1/240,19/240,19/240,19/240,9/80,151/720,331/720,931/720}, {1/240,19/240,19/240,97/720,121/720,151/720,331/720,931/720}, {1/240,19/240,77/720,77/720,121/720,151/720,331/720,931/720}, {-3/80,3/80,19/240,97/720,121/720,191/720,251/720,971/720}, {-3/80,3/80,77/720,77/720,121/720,191/720,251/720,971/720}, {-3/80,3/80,47/720,47/720,91/720,161/720,341/720,941/720}, {-3/80,3/80,19/240,19/240,9/80,151/720,331/720,931/720}, {-1/60,1/60,31/360,31/360,53/360,73/360,163/360,463/360}, {-1/60,7/120,7/120,7/120,2/15,83/360,173/360,473/360}, {1/240,19/240,77/720,77/720,121/720,191/720,251/720,971/720}, {0,1/24,3/40,3/40,1/5,11/40,21/40,163/120}, {-1/48,1/48,7/144,7/144,23/144,37/144,73/144,193/144}, {1/144,1/16,1/16,7/48,13/48,43/144,7/16,23/16}, {1/48,1/48,23/240,109/720,199/720,223/720,313/720,1033/720}, {-1/48,1/48,1/16,17/144,17/144,31/144,67/144,187/144}, {1/48,1/16,1/16,17/144,17/144,31/144,67/144,187/144}, {0,1/24,1/24,7/72,5/36,17/72,35/72,95/72}, {1/240,19/240,19/240,97/720,121/720,191/720,251/720,971/720}, {0,1/24,1/24,7/72,2/9,23/72,29/72,101/72}, {-1/144,5/144,5/144,17/144,29/144,13/48,25/48,65/48}, {1/72,1/18,1/18,5/36,19/72,1/3,5/12,17/12}, {5/144,5/144,11/144,23/144,41/144,5/16,7/16,23/16}, {5/144,5/144,79/720,139/720,169/720,71/240,101/240,341/240}, {1/72,1/18,1/18,1/12,5/24,5/18,19/36,49/36}, {5/144,5/144,79/720,11/80,21/80,233/720,323/720,1043/720}, {1/72,1/72,4/45,31/180,23/90,19/60,53/120,173/120}, {-1/72,1/24,3/40,19/120,29/120,109/360,21/40,163/120}, {1/144,1/16,23/240,43/240,53/240,203/720,121/240,107/80}, {1/72,1/72,4/45,31/180,23/90,19/60,21/40,163/120}, {1/144,1/16,23/240,89/720,179/720,223/720,383/720,983/720}, {5/144,5/144,11/144,23/144,41/144,5/16,25/48,65/48}, {5/144,5/144,79/720,11/80,21/80,233/720,383/720,983/720}, {-1/144,7/144,59/720,11/80,21/80,71/240,373/720,973/720}, {1/144,1/16,1/16,7/48,13/48,43/144,25/48,65/48}, {5/144,5/144,79/720,139/720,169/720,71/240,121/240,107/80}, {1/48,1/48,23/240,109/720,199/720,223/720,373/720,973/720}, {0,1/24,1/24,7/72,2/9,23/72,35/72,95/72}, {-3/80,3/80,77/720,77/720,121/720,191/720,311/720,911/720}, {-3/80,3/80,19/240,97/720,121/720,191/720,311/720,911/720}, {1/240,19/240,19/240,97/720,121/720,191/720,311/720,911/720}, {1/240,19/240,77/720,77/720,121/720,191/720,311/720,911/720}, {-5/144,5/48,5/48,3/16,5/16,49/144,19/48,71/48}, {1/48,1/48,1/48,11/144,29/144,37/144,73/144,193/144}, {5/144,5/144,5/144,17/144,35/144,47/144,59/144,203/144}, {5/144,5/144,5/144,17/144,35/144,47/144,71/144,191/144}, {5/144,5/144,5/144,17/144,35/144,13/48,25/48,65/48}, {1/72,1/18,1/18,5/36,19/72,1/3,1/2,4/3}, {-5/72,5/72,13/90,1/5,17/60,19/60,149/360,539/360}, {1/72,1/72,17/360,47/360,77/360,11/40,21/40,163/120}, {1/48,1/48,13/240,79/720,109/720,173/720,353/720,953/720}, {1/48,1/48,13/240,79/720,169/720,193/720,373/720,973/720}, {1/48,1/48,13/240,79/720,169/720,233/720,293/720,1013/720}, {0,0,1/30,4/45,31/180,47/180,23/45,121/90}, {5/144,5/144,49/720,109/720,199/720,27/80,101/240,341/240}, {5/144,5/144,49/720,109/720,199/720,27/80,121/240,107/80}, {5/144,5/144,49/720,109/720,139/720,61/240,121/240,107/80}, {0,1/24,3/40,47/360,23/90,119/360,179/360,479/360}, {1/48,1/48,13/240,79/720,169/720,233/720,353/720,953/720}, {1/72,1/72,4/45,31/180,23/90,19/60,43/120,61/40}, {5/144,5/144,11/144,23/144,41/144,5/16,17/48,73/48}, {5/144,5/144,79/720,11/80,21/80,233/720,263/720,1103/720}, {5/144,5/144,79/720,139/720,229/720,91/240,101/240,341/240}, {1/48,1/48,13/240,13/240,43/240,193/720,373/720,973/720}, {5/144,5/144,49/720,23/240,53/240,203/720,383/720,983/720}, {5/144,5/144,5/144,17/144,23/144,35/144,71/144,191/144}, {-5/168,5/56,1/8,11/56,17/56,55/168,23/56,83/56}, {-1/168,11/168,109/840,169/840,37/120,101/280,111/280,411/280}, {-5/168,5/56,33/280,53/280,83/280,293/840,111/280,411/280}, {-1/24,13/168,17/120,53/280,83/280,13/40,49/120,1243/840}, {-1/21,1/14,19/140,29/140,39/140,139/420,29/70,52/35}, {-5/168,5/56,43/280,9/40,73/280,263/840,111/280,411/280}, {-5/168,5/56,43/280,149/840,239/840,283/840,353/840,179/120}, {1/168,3/56,33/280,53/280,83/280,293/840,121/280,401/280}, {1/168,3/56,23/280,43/280,73/280,263/840,101/280,421/280}, {1/168,3/56,33/280,53/280,9/40,233/840,101/280,421/280}, {-1/168,1/24,89/840,43/280,73/280,81/280,313/840,1273/840}, {-1/84,1/28,1/10,6/35,17/70,31/105,53/140,213/140}, {1/168,3/56,5/56,9/56,15/56,7/24,3/8,85/56}, {1/168,3/56,33/280,17/120,209/840,253/840,323/840,1283/840}, {1/280,19/280,11/120,11/120,121/840,191/840,53/120,1091/840}, {1/280,19/280,19/280,97/840,121/840,191/840,53/120,1091/840}, {0,1/28,1/28,1/12,4/21,23/84,41/84,113/84}, {1/84,1/21,1/21,5/42,19/84,2/7,1/2,19/14}, {-9/280,9/280,19/280,97/840,121/840,191/840,53/120,1091/840}, {0,1/28,9/140,47/420,23/105,17/60,209/420,569/420}, {1/168,3/56,23/280,43/280,73/280,263/840,121/280,401/280}, {5/168,5/168,79/840,139/840,229/840,13/40,121/280,401/280}, {1/168,3/56,23/280,43/280,73/280,263/840,141/280,381/280}, {5/168,5/168,7/120,109/840,199/840,81/280,141/280,381/280}, {1/56,1/56,13/280,79/840,169/840,233/840,59/120,1133/840}, {5/168,5/168,79/840,139/840,229/840,13/40,101/280,421/280}, {1/192,3/64,33/320,53/320,83/320,293/960,121/320,481/320}, {-5/216,5/72,43/360,7/40,31/120,323/1080,131/360,551/360}, {1/360,19/360,107/1080,49/360,191/1080,29/120,49/120,467/360}, {-1/40,29/360,13/120,137/1080,161/1080,77/360,137/360,457/360}, {5/216,13/216,17/216,109/1080,139/1080,179/1080,359/1080,1319/1080}, {0,1/18,1/12,67/540,41/270,17/90,16/45,56/45}, {5/216,13/216,109/1080,139/1080,179/1080,239/1080,359/1080,233/216}, {5/216,13/216,17/216,109/1080,179/1080,239/1080,359/1080,1219/1080}, {0,1/18,1/12,67/540,17/90,11/45,16/45,311/270}, {13/216,17/216,109/1080,139/1080,179/1080,239/1080,359/1080,221/216}, {1/216,7/216,11/216,79/1080,109/1080,209/1080,329/1080,931/1080}, {1/216,11/216,79/1080,109/1080,149/1080,209/1080,329/1080,209/216}, {1/216,7/216,11/216,109/1080,149/1080,209/1080,329/1080,1001/1080}, {1/216,7/216,11/216,79/1080,109/1080,149/1080,209/1080,751/1080}, {-1/90,7/180,31/540,17/180,59/270,17/60,9/20,241/180}, {1/216,1/24,11/120,53/360,83/360,293/1080,181/360,167/120}, {1/108,1/27,8/135,31/270,107/540,41/135,127/270,367/270}