*************************************** SOLUTION TO GIT PROBLEM: NONSTABLE LOCI *************************************** Group: A2 RepresentationA2(14,0,0) Set of maximal non-stable states: (1) 1-PS = (1, -1/4, -3/4) yields a state with 56 characters Maximal nonstable state={(7, 3, 4), (11, 0, 3), (7, 0, 7), (10, 3, 1), (10, 2, 2), (6, 2, 6), (9, 5, 0), (9, 4, 1), (8, 6, 0), (6, 0, 8), (10, 1, 3), (8, 5, 1), (8, 4, 2), (10, 0, 4), (9, 3, 2), (7, 7, 0), (7, 6, 1), (6, 8, 0), (14, 0, 0), (9, 1, 4), (8, 3, 3), (6, 7, 1), (11, 1, 2), (7, 5, 2), (5, 9, 0), (5, 4, 5), (13, 1, 0), (9, 2, 3), (6, 1, 7), (9, 0, 5), (12, 2, 0), (8, 2, 4), (8, 1, 5), (6, 5, 3), (7, 4, 3), (5, 8, 1), (5, 7, 2), (3, 11, 0), (6, 6, 2), (4, 10, 0), (4, 9, 1), (12, 1, 1), (7, 2, 5), (7, 1, 6), (12, 0, 2), (8, 0, 6), (10, 4, 0), (6, 3, 5), (4, 7, 3), (5, 5, 4), (11, 3, 0), (11, 2, 1), (6, 4, 4), (5, 6, 3), (4, 8, 2), (13, 0, 1)} (2) 1-PS = (1, 0, -1) yields a state with 64 characters Maximal nonstable state={(7, 3, 4), (10, 3, 1), (10, 2, 2), (6, 2, 6), (3, 8, 3), (8, 6, 0), (0, 14, 0), (1, 12, 1), (8, 5, 1), (8, 4, 2), (9, 3, 2), (6, 8, 0), (14, 0, 0), (9, 1, 4), (6, 7, 1), (7, 5, 2), (5, 4, 5), (13, 1, 0), (9, 0, 5), (6, 5, 3), (7, 4, 3), (3, 11, 0), (4, 10, 0), (4, 9, 1), (12, 1, 1), (7, 2, 5), (7, 1, 6), (12, 0, 2), (8, 0, 6), (4, 7, 3), (5, 6, 3), (1, 13, 0), (2, 12, 0), (2, 11, 1), (13, 0, 1), (11, 0, 3), (7, 0, 7), (9, 5, 0), (4, 6, 4), (9, 4, 1), (2, 10, 2), (10, 1, 3), (10, 0, 4), (7, 7, 0), (7, 6, 1), (8, 3, 3), (11, 1, 2), (5, 9, 0), (9, 2, 3), (12, 2, 0), (8, 2, 4), (8, 1, 5), (5, 8, 1), (5, 7, 2), (6, 6, 2), (10, 4, 0), (5, 5, 4), (11, 3, 0), (11, 2, 1), (6, 3, 5), (6, 4, 4), (3, 10, 1), (3, 9, 2), (4, 8, 2)} (3) 1-PS = (1, 1/2, -3/2) yields a state with 67 characters Maximal nonstable state={(7, 3, 4), (10, 3, 1), (10, 2, 2), (3, 8, 3), (8, 6, 0), (0, 14, 0), (1, 12, 1), (8, 5, 1), (8, 4, 2), (9, 3, 2), (1, 10, 3), (6, 8, 0), (14, 0, 0), (9, 1, 4), (6, 7, 1), (7, 5, 2), (0, 11, 3), (13, 1, 0), (9, 0, 5), (1, 11, 2), (2, 9, 3), (6, 5, 3), (7, 4, 3), (3, 11, 0), (4, 10, 0), (4, 9, 1), (12, 1, 1), (7, 2, 5), (12, 0, 2), (4, 7, 3), (5, 6, 3), (1, 13, 0), (2, 12, 0), (2, 11, 1), (13, 0, 1), (11, 0, 3), (9, 5, 0), (4, 6, 4), (9, 4, 1), (2, 10, 2), (10, 1, 3), (10, 0, 4), (7, 7, 0), (2, 8, 4), (7, 6, 1), (0, 12, 2), (8, 3, 3), (11, 1, 2), (5, 9, 0), (9, 2, 3), (3, 7, 4), (12, 2, 0), (8, 2, 4), (0, 13, 1), (8, 1, 5), (5, 8, 1), (5, 7, 2), (6, 6, 2), (10, 4, 0), (5, 5, 4), (11, 3, 0), (11, 2, 1), (6, 3, 5), (6, 4, 4), (3, 10, 1), (3, 9, 2), (4, 8, 2)} (4) 1-PS = (1, -4/9, -5/9) yields a state with 55 characters Maximal nonstable state={(7, 3, 4), (11, 0, 3), (7, 0, 7), (10, 3, 1), (10, 2, 2), (6, 2, 6), (9, 5, 0), (9, 4, 1), (8, 6, 0), (6, 0, 8), (10, 1, 3), (5, 2, 7), (8, 5, 1), (8, 4, 2), (10, 0, 4), (9, 3, 2), (7, 7, 0), (7, 6, 1), (6, 8, 0), (14, 0, 0), (9, 1, 4), (5, 1, 8), (8, 3, 3), (6, 7, 1), (11, 1, 2), (7, 5, 2), (5, 9, 0), (5, 4, 5), (5, 0, 9), (13, 1, 0), (5, 3, 6), (9, 2, 3), (6, 1, 7), (9, 0, 5), (12, 2, 0), (8, 2, 4), (8, 1, 5), (6, 5, 3), (7, 4, 3), (5, 8, 1), (5, 7, 2), (6, 6, 2), (12, 1, 1), (7, 2, 5), (7, 1, 6), (12, 0, 2), (8, 0, 6), (10, 4, 0), (6, 3, 5), (5, 5, 4), (11, 3, 0), (11, 2, 1), (6, 4, 4), (5, 6, 3), (13, 0, 1)} (5) 1-PS = (1, 1/5, -6/5) yields a state with 65 characters Maximal nonstable state={(7, 3, 4), (10, 3, 1), (10, 2, 2), (3, 8, 3), (8, 6, 0), (0, 14, 0), (1, 12, 1), (8, 5, 1), (8, 4, 2), (9, 3, 2), (6, 8, 0), (14, 0, 0), (9, 1, 4), (6, 7, 1), (7, 5, 2), (13, 1, 0), (9, 0, 5), (1, 11, 2), (2, 9, 3), (6, 5, 3), (7, 4, 3), (3, 11, 0), (4, 10, 0), (4, 9, 1), (12, 1, 1), (7, 2, 5), (7, 1, 6), (12, 0, 2), (8, 0, 6), (4, 7, 3), (5, 6, 3), (1, 13, 0), (2, 12, 0), (2, 11, 1), (13, 0, 1), (11, 0, 3), (9, 5, 0), (4, 6, 4), (9, 4, 1), (2, 10, 2), (10, 1, 3), (10, 0, 4), (7, 7, 0), (7, 6, 1), (0, 12, 2), (8, 3, 3), (11, 1, 2), (5, 9, 0), (9, 2, 3), (12, 2, 0), (8, 2, 4), (0, 13, 1), (8, 1, 5), (5, 8, 1), (5, 7, 2), (6, 6, 2), (10, 4, 0), (5, 5, 4), (11, 3, 0), (11, 2, 1), (6, 3, 5), (6, 4, 4), (3, 10, 1), (3, 9, 2), (4, 8, 2)} (6) 1-PS = (1, -2/5, -3/5) yields a state with 54 characters Maximal nonstable state={(7, 3, 4), (11, 0, 3), (7, 0, 7), (10, 3, 1), (10, 2, 2), (6, 2, 6), (9, 5, 0), (9, 4, 1), (8, 6, 0), (6, 0, 8), (10, 1, 3), (5, 2, 7), (8, 5, 1), (8, 4, 2), (10, 0, 4), (9, 3, 2), (7, 7, 0), (7, 6, 1), (6, 8, 0), (14, 0, 0), (9, 1, 4), (8, 3, 3), (6, 7, 1), (11, 1, 2), (7, 5, 2), (5, 9, 0), (5, 4, 5), (13, 1, 0), (5, 3, 6), (9, 2, 3), (6, 1, 7), (9, 0, 5), (12, 2, 0), (8, 2, 4), (8, 1, 5), (6, 5, 3), (7, 4, 3), (5, 8, 1), (5, 7, 2), (6, 6, 2), (4, 10, 0), (12, 1, 1), (7, 2, 5), (7, 1, 6), (12, 0, 2), (8, 0, 6), (10, 4, 0), (6, 3, 5), (5, 5, 4), (11, 3, 0), (11, 2, 1), (6, 4, 4), (5, 6, 3), (13, 0, 1)} (7) 1-PS = (1, -1/6, -5/6) yields a state with 57 characters Maximal nonstable state={(7, 3, 4), (11, 0, 3), (7, 0, 7), (10, 3, 1), (10, 2, 2), (6, 2, 6), (9, 5, 0), (9, 4, 1), (8, 6, 0), (10, 1, 3), (8, 5, 1), (8, 4, 2), (10, 0, 4), (9, 3, 2), (7, 7, 0), (7, 6, 1), (6, 8, 0), (14, 0, 0), (9, 1, 4), (8, 3, 3), (6, 7, 1), (11, 1, 2), (7, 5, 2), (5, 9, 0), (5, 4, 5), (13, 1, 0), (9, 2, 3), (6, 1, 7), (9, 0, 5), (12, 2, 0), (8, 2, 4), (8, 1, 5), (6, 5, 3), (7, 4, 3), (5, 8, 1), (5, 7, 2), (3, 11, 0), (6, 6, 2), (4, 10, 0), (4, 9, 1), (12, 1, 1), (7, 2, 5), (7, 1, 6), (12, 0, 2), (8, 0, 6), (10, 4, 0), (6, 3, 5), (4, 7, 3), (5, 5, 4), (11, 3, 0), (3, 10, 1), (11, 2, 1), (6, 4, 4), (4, 8, 2), (2, 12, 0), (5, 6, 3), (13, 0, 1)} (8) 1-PS = (1, -1/3, -2/3) yields a state with 55 characters Maximal nonstable state={(7, 3, 4), (11, 0, 3), (7, 0, 7), (10, 3, 1), (10, 2, 2), (6, 2, 6), (9, 5, 0), (9, 4, 1), (8, 6, 0), (6, 0, 8), (10, 1, 3), (8, 5, 1), (8, 4, 2), (10, 0, 4), (9, 3, 2), (7, 7, 0), (7, 6, 1), (6, 8, 0), (14, 0, 0), (9, 1, 4), (8, 3, 3), (6, 7, 1), (11, 1, 2), (7, 5, 2), (5, 9, 0), (5, 4, 5), (13, 1, 0), (5, 3, 6), (9, 2, 3), (6, 1, 7), (9, 0, 5), (12, 2, 0), (8, 2, 4), (8, 1, 5), (6, 5, 3), (7, 4, 3), (5, 8, 1), (5, 7, 2), (6, 6, 2), (4, 10, 0), (4, 9, 1), (12, 1, 1), (7, 2, 5), (7, 1, 6), (12, 0, 2), (8, 0, 6), (10, 4, 0), (6, 3, 5), (5, 5, 4), (11, 3, 0), (11, 2, 1), (6, 4, 4), (5, 6, 3), (4, 8, 2), (13, 0, 1)} (9) 1-PS = (1, 2/3, -5/3) yields a state with 68 characters Maximal nonstable state={(7, 3, 4), (10, 3, 1), (10, 2, 2), (3, 8, 3), (8, 6, 0), (0, 14, 0), (1, 12, 1), (8, 5, 1), (8, 4, 2), (9, 3, 2), (1, 10, 3), (6, 8, 0), (14, 0, 0), (9, 1, 4), (6, 7, 1), (7, 5, 2), (0, 11, 3), (13, 1, 0), (9, 0, 5), (1, 11, 2), (2, 9, 3), (6, 5, 3), (7, 4, 3), (3, 11, 0), (4, 10, 0), (4, 9, 1), (12, 1, 1), (7, 2, 5), (12, 0, 2), (4, 7, 3), (5, 6, 3), (1, 13, 0), (2, 12, 0), (2, 11, 1), (13, 0, 1), (11, 0, 3), (9, 5, 0), (4, 6, 4), (9, 4, 1), (2, 10, 2), (10, 1, 3), (10, 0, 4), (7, 7, 0), (2, 8, 4), (7, 6, 1), (0, 12, 2), (8, 3, 3), (11, 1, 2), (5, 9, 0), (1, 9, 4), (9, 2, 3), (0, 10, 4), (3, 7, 4), (12, 2, 0), (8, 2, 4), (0, 13, 1), (8, 1, 5), (5, 8, 1), (5, 7, 2), (6, 6, 2), (10, 4, 0), (5, 5, 4), (11, 3, 0), (11, 2, 1), (6, 4, 4), (3, 10, 1), (3, 9, 2), (4, 8, 2)} (10) 1-PS = (1, 1/3, -4/3) yields a state with 66 characters Maximal nonstable state={(7, 3, 4), (10, 3, 1), (10, 2, 2), (3, 8, 3), (8, 6, 0), (0, 14, 0), (1, 12, 1), (8, 5, 1), (8, 4, 2), (9, 3, 2), (1, 10, 3), (6, 8, 0), (14, 0, 0), (9, 1, 4), (6, 7, 1), (7, 5, 2), (13, 1, 0), (9, 0, 5), (1, 11, 2), (2, 9, 3), (6, 5, 3), (7, 4, 3), (3, 11, 0), (4, 10, 0), (4, 9, 1), (12, 1, 1), (7, 2, 5), (12, 0, 2), (8, 0, 6), (4, 7, 3), (5, 6, 3), (1, 13, 0), (2, 12, 0), (2, 11, 1), (13, 0, 1), (11, 0, 3), (9, 5, 0), (4, 6, 4), (9, 4, 1), (2, 10, 2), (10, 1, 3), (10, 0, 4), (7, 7, 0), (7, 6, 1), (0, 12, 2), (8, 3, 3), (11, 1, 2), (5, 9, 0), (9, 2, 3), (3, 7, 4), (12, 2, 0), (8, 2, 4), (0, 13, 1), (8, 1, 5), (5, 8, 1), (5, 7, 2), (6, 6, 2), (10, 4, 0), (5, 5, 4), (11, 3, 0), (11, 2, 1), (6, 3, 5), (6, 4, 4), (3, 10, 1), (3, 9, 2), (4, 8, 2)} ************************************** SOLUTION TO GIT PROBLEM: UNSTABLE LOCI ************************************** Group: A2 RepresentationA2(14,0,0) Set of maximal unstable states: (1) 1-PS = (1, -1/5, -4/5) yields a state with 56 characters Maximal unstable state={(7, 3, 4), (11, 0, 3), (7, 0, 7), (10, 3, 1), (10, 2, 2), (6, 2, 6), (9, 5, 0), (9, 4, 1), (8, 6, 0), (10, 1, 3), (10, 0, 4), (8, 5, 1), (8, 4, 2), (9, 3, 2), (7, 7, 0), (7, 6, 1), (6, 8, 0), (14, 0, 0), (9, 1, 4), (8, 3, 3), (6, 7, 1), (11, 1, 2), (7, 5, 2), (5, 9, 0), (5, 4, 5), (13, 1, 0), (9, 2, 3), (6, 1, 7), (9, 0, 5), (12, 2, 0), (8, 2, 4), (8, 1, 5), (6, 5, 3), (7, 4, 3), (5, 8, 1), (5, 7, 2), (3, 11, 0), (6, 6, 2), (4, 10, 0), (4, 9, 1), (12, 1, 1), (7, 2, 5), (7, 1, 6), (5, 5, 4), (8, 0, 6), (6, 4, 4), (6, 3, 5), (4, 7, 3), (12, 0, 2), (5, 6, 3), (3, 10, 1), (10, 4, 0), (11, 3, 0), (4, 8, 2), (11, 2, 1), (13, 0, 1)} (2) 1-PS = (1, 2/11, -13/11) yields a state with 64 characters Maximal unstable state={(7, 3, 4), (10, 3, 1), (10, 2, 2), (3, 8, 3), (8, 6, 0), (0, 14, 0), (1, 12, 1), (8, 5, 1), (8, 4, 2), (9, 3, 2), (6, 8, 0), (14, 0, 0), (9, 1, 4), (6, 7, 1), (7, 5, 2), (13, 1, 0), (9, 0, 5), (1, 11, 2), (2, 9, 3), (6, 5, 3), (7, 4, 3), (3, 11, 0), (4, 10, 0), (4, 9, 1), (12, 1, 1), (7, 2, 5), (7, 1, 6), (12, 0, 2), (8, 0, 6), (4, 7, 3), (5, 6, 3), (1, 13, 0), (2, 12, 0), (2, 11, 1), (13, 0, 1), (11, 0, 3), (9, 5, 0), (4, 6, 4), (9, 4, 1), (2, 10, 2), (10, 1, 3), (10, 0, 4), (7, 7, 0), (7, 6, 1), (8, 3, 3), (11, 1, 2), (5, 9, 0), (9, 2, 3), (12, 2, 0), (8, 2, 4), (8, 1, 5), (0, 13, 1), (5, 8, 1), (5, 7, 2), (6, 6, 2), (10, 4, 0), (5, 5, 4), (11, 3, 0), (11, 2, 1), (6, 4, 4), (6, 3, 5), (3, 10, 1), (3, 9, 2), (4, 8, 2)} (3) 1-PS = (1, -1/2, -1/2) yields a state with 55 characters Maximal unstable state={(7, 3, 4), (11, 0, 3), (7, 0, 7), (10, 3, 1), (10, 2, 2), (6, 2, 6), (9, 5, 0), (9, 4, 1), (8, 6, 0), (6, 0, 8), (10, 1, 3), (10, 0, 4), (5, 2, 7), (8, 5, 1), (8, 4, 2), (9, 3, 2), (7, 7, 0), (7, 6, 1), (6, 8, 0), (14, 0, 0), (9, 1, 4), (5, 1, 8), (8, 3, 3), (6, 7, 1), (11, 1, 2), (7, 5, 2), (5, 9, 0), (5, 4, 5), (5, 0, 9), (13, 1, 0), (5, 3, 6), (9, 2, 3), (6, 1, 7), (9, 0, 5), (12, 2, 0), (8, 2, 4), (8, 1, 5), (6, 5, 3), (7, 4, 3), (5, 8, 1), (5, 7, 2), (6, 6, 2), (12, 1, 1), (7, 2, 5), (7, 1, 6), (5, 5, 4), (8, 0, 6), (6, 4, 4), (6, 3, 5), (12, 0, 2), (10, 4, 0), (5, 6, 3), (11, 3, 0), (11, 2, 1), (13, 0, 1)} (4) 1-PS = (1, 2/5, -7/5) yields a state with 66 characters Maximal unstable state={(7, 3, 4), (10, 3, 1), (10, 2, 2), (3, 8, 3), (8, 6, 0), (0, 14, 0), (1, 12, 1), (8, 5, 1), (8, 4, 2), (9, 3, 2), (1, 10, 3), (6, 8, 0), (14, 0, 0), (9, 1, 4), (6, 7, 1), (7, 5, 2), (0, 11, 3), (13, 1, 0), (9, 0, 5), (1, 11, 2), (2, 9, 3), (6, 5, 3), (7, 4, 3), (3, 11, 0), (4, 10, 0), (4, 9, 1), (12, 1, 1), (7, 2, 5), (12, 0, 2), (4, 7, 3), (5, 6, 3), (1, 13, 0), (2, 12, 0), (2, 11, 1), (13, 0, 1), (11, 0, 3), (9, 5, 0), (4, 6, 4), (9, 4, 1), (2, 10, 2), (10, 1, 3), (10, 0, 4), (7, 7, 0), (7, 6, 1), (0, 12, 2), (8, 3, 3), (11, 1, 2), (5, 9, 0), (9, 2, 3), (3, 7, 4), (12, 2, 0), (8, 2, 4), (8, 1, 5), (0, 13, 1), (5, 8, 1), (5, 7, 2), (6, 6, 2), (10, 4, 0), (5, 5, 4), (11, 3, 0), (11, 2, 1), (6, 4, 4), (6, 3, 5), (3, 10, 1), (3, 9, 2), (4, 8, 2)} (5) 1-PS = (1, -1/14, -13/14) yields a state with 59 characters Maximal unstable state={(7, 3, 4), (11, 2, 1), (11, 0, 3), (7, 0, 7), (10, 3, 1), (10, 2, 2), (6, 2, 6), (9, 5, 0), (9, 4, 1), (8, 6, 0), (10, 1, 3), (10, 0, 4), (8, 5, 1), (8, 4, 2), (9, 3, 2), (7, 7, 0), (7, 6, 1), (6, 8, 0), (14, 0, 0), (9, 1, 4), (8, 3, 3), (6, 7, 1), (11, 3, 0), (11, 1, 2), (5, 9, 0), (7, 5, 2), (5, 4, 5), (13, 1, 0), (9, 2, 3), (9, 0, 5), (12, 2, 0), (8, 2, 4), (8, 1, 5), (6, 5, 3), (7, 4, 3), (5, 8, 1), (5, 7, 2), (3, 11, 0), (6, 6, 2), (4, 10, 0), (4, 9, 1), (12, 1, 1), (7, 2, 5), (7, 1, 6), (5, 5, 4), (8, 0, 6), (6, 4, 4), (6, 3, 5), (4, 7, 3), (12, 0, 2), (5, 6, 3), (3, 10, 1), (3, 9, 2), (1, 13, 0), (4, 8, 2), (2, 12, 0), (2, 11, 1), (10, 4, 0), (13, 0, 1)} (6) 1-PS = (1, -4/11, -7/11) yields a state with 54 characters Maximal unstable state={(7, 3, 4), (11, 0, 3), (7, 0, 7), (10, 3, 1), (10, 2, 2), (6, 2, 6), (9, 5, 0), (9, 4, 1), (8, 6, 0), (6, 0, 8), (10, 1, 3), (10, 0, 4), (8, 5, 1), (8, 4, 2), (9, 3, 2), (7, 7, 0), (7, 6, 1), (6, 8, 0), (14, 0, 0), (9, 1, 4), (8, 3, 3), (6, 7, 1), (11, 1, 2), (7, 5, 2), (5, 9, 0), (5, 4, 5), (13, 1, 0), (5, 3, 6), (9, 2, 3), (6, 1, 7), (9, 0, 5), (12, 2, 0), (8, 2, 4), (8, 1, 5), (6, 5, 3), (7, 4, 3), (5, 8, 1), (5, 7, 2), (6, 6, 2), (4, 10, 0), (4, 9, 1), (12, 1, 1), (7, 2, 5), (7, 1, 6), (5, 5, 4), (8, 0, 6), (6, 4, 4), (6, 3, 5), (12, 0, 2), (10, 4, 0), (5, 6, 3), (11, 3, 0), (11, 2, 1), (13, 0, 1)} (7) 1-PS = (1, 8/11, -19/11) yields a state with 67 characters Maximal unstable state={(7, 3, 4), (10, 3, 1), (10, 2, 2), (3, 8, 3), (8, 6, 0), (0, 14, 0), (1, 12, 1), (8, 5, 1), (8, 4, 2), (9, 3, 2), (1, 10, 3), (6, 8, 0), (14, 0, 0), (9, 1, 4), (6, 7, 1), (7, 5, 2), (0, 11, 3), (13, 1, 0), (9, 0, 5), (1, 11, 2), (2, 9, 3), (6, 5, 3), (7, 4, 3), (3, 11, 0), (4, 10, 0), (4, 9, 1), (12, 1, 1), (12, 0, 2), (4, 7, 3), (5, 6, 3), (1, 13, 0), (2, 12, 0), (2, 11, 1), (13, 0, 1), (11, 0, 3), (9, 5, 0), (4, 6, 4), (9, 4, 1), (2, 10, 2), (10, 1, 3), (10, 0, 4), (7, 7, 0), (2, 8, 4), (7, 6, 1), (0, 12, 2), (8, 3, 3), (11, 1, 2), (5, 9, 0), (1, 9, 4), (9, 2, 3), (0, 10, 4), (3, 7, 4), (12, 2, 0), (8, 2, 4), (8, 1, 5), (0, 13, 1), (5, 8, 1), (5, 7, 2), (6, 6, 2), (10, 4, 0), (5, 5, 4), (11, 3, 0), (6, 4, 4), (11, 2, 1), (3, 10, 1), (3, 9, 2), (4, 8, 2)} (8) 1-PS = (1, 5/8, -13/8) yields a state with 67 characters Maximal unstable state={(7, 3, 4), (10, 3, 1), (10, 2, 2), (3, 8, 3), (8, 6, 0), (0, 14, 0), (1, 12, 1), (8, 5, 1), (8, 4, 2), (9, 3, 2), (1, 10, 3), (6, 8, 0), (14, 0, 0), (9, 1, 4), (6, 7, 1), (7, 5, 2), (0, 11, 3), (13, 1, 0), (9, 0, 5), (1, 11, 2), (2, 9, 3), (6, 5, 3), (7, 4, 3), (3, 11, 0), (4, 10, 0), (4, 9, 1), (12, 1, 1), (7, 2, 5), (12, 0, 2), (4, 7, 3), (5, 6, 3), (1, 13, 0), (2, 12, 0), (2, 11, 1), (13, 0, 1), (11, 0, 3), (9, 5, 0), (4, 6, 4), (9, 4, 1), (2, 10, 2), (10, 1, 3), (10, 0, 4), (7, 7, 0), (2, 8, 4), (7, 6, 1), (0, 12, 2), (8, 3, 3), (11, 1, 2), (5, 9, 0), (1, 9, 4), (9, 2, 3), (3, 7, 4), (12, 2, 0), (8, 2, 4), (8, 1, 5), (0, 13, 1), (5, 8, 1), (5, 7, 2), (6, 6, 2), (10, 4, 0), (5, 5, 4), (11, 3, 0), (6, 4, 4), (11, 2, 1), (3, 10, 1), (3, 9, 2), (4, 8, 2)} (9) 1-PS = (1, 5/17, -22/17) yields a state with 65 characters Maximal unstable state={(7, 3, 4), (10, 3, 1), (10, 2, 2), (3, 8, 3), (8, 6, 0), (0, 14, 0), (1, 12, 1), (8, 5, 1), (8, 4, 2), (9, 3, 2), (1, 10, 3), (6, 8, 0), (14, 0, 0), (9, 1, 4), (6, 7, 1), (7, 5, 2), (13, 1, 0), (9, 0, 5), (1, 11, 2), (2, 9, 3), (6, 5, 3), (7, 4, 3), (3, 11, 0), (4, 10, 0), (4, 9, 1), (12, 1, 1), (7, 2, 5), (12, 0, 2), (8, 0, 6), (4, 7, 3), (5, 6, 3), (1, 13, 0), (2, 12, 0), (2, 11, 1), (13, 0, 1), (11, 0, 3), (9, 5, 0), (4, 6, 4), (9, 4, 1), (2, 10, 2), (10, 1, 3), (10, 0, 4), (7, 7, 0), (7, 6, 1), (0, 12, 2), (8, 3, 3), (11, 1, 2), (5, 9, 0), (9, 2, 3), (12, 2, 0), (8, 2, 4), (8, 1, 5), (0, 13, 1), (5, 8, 1), (5, 7, 2), (6, 6, 2), (10, 4, 0), (5, 5, 4), (11, 3, 0), (11, 2, 1), (6, 4, 4), (6, 3, 5), (3, 10, 1), (3, 9, 2), (4, 8, 2)} (10) 1-PS = (1, -5/19, -14/19) yields a state with 55 characters Maximal unstable state={(7, 3, 4), (11, 0, 3), (7, 0, 7), (10, 3, 1), (10, 2, 2), (6, 2, 6), (9, 5, 0), (9, 4, 1), (8, 6, 0), (6, 0, 8), (10, 1, 3), (10, 0, 4), (8, 5, 1), (8, 4, 2), (9, 3, 2), (7, 7, 0), (7, 6, 1), (6, 8, 0), (14, 0, 0), (9, 1, 4), (8, 3, 3), (6, 7, 1), (11, 1, 2), (7, 5, 2), (5, 9, 0), (5, 4, 5), (13, 1, 0), (9, 2, 3), (6, 1, 7), (9, 0, 5), (12, 2, 0), (8, 2, 4), (8, 1, 5), (6, 5, 3), (7, 4, 3), (5, 8, 1), (5, 7, 2), (3, 11, 0), (6, 6, 2), (4, 10, 0), (4, 9, 1), (12, 1, 1), (7, 2, 5), (7, 1, 6), (5, 5, 4), (8, 0, 6), (6, 4, 4), (6, 3, 5), (12, 0, 2), (10, 4, 0), (5, 6, 3), (11, 3, 0), (11, 2, 1), (4, 8, 2), (13, 0, 1)} ************************************************************* SOLUTION TO GIT PROBLEM: STRICTLY POLYSTABLE LOCI ************************************************************* Group: A2 RepresentationA2(14,0,0) Set of strictly polystable states: (1) A state with 2 characters Strictly polystable state={(6, 0, 8), (4, 7, 3)} (2) A state with 2 characters Strictly polystable state={(2, 12, 0), (6, 1, 7)} (3) A state with 8 characters Strictly polystable state={(7, 0, 7), (6, 2, 6), (4, 6, 4), (3, 8, 3), (2, 10, 2), (0, 14, 0), (5, 4, 5), (1, 12, 1)} (4) A state with 2 characters Strictly polystable state={(5, 2, 7), (4, 10, 0)} (5) A state with 2 characters Strictly polystable state={(5, 3, 6), (4, 8, 2)}