*************************************** SOLUTION TO GIT PROBLEM: NONSTABLE LOCI *************************************** Group: B2 RepresentationB2(8,0) Set of maximal non-stable states: (1) 1-PS = (1, 3/4) yields a state with 74 characters Maximal nonstable state={(4, 0), (3, -1), (3, -2), (4, -3), (5, 1), (8, 0), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-2, 5), (-1, 6), (-2, 6), (3, 2), (4, 1), (-3, 4), (0, 0), (1, 4), (0, 6), (2, 3), (-1, 2), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (-1, 4), (-2, 4), (3, -3), (4, -4), (3, 3), (5, 0), (-3, 5), (0, 1), (2, -2), (2, -1), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (-1, 3), (-2, 3), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, 7), (2, 6), (6, 0), (-1, 5)} (2) 1-PS = (1, 1/6) yields a state with 74 characters Maximal nonstable state={(4, 0), (3, -1), (3, -2), (4, -3), (5, 1), (8, 0), (1, -6), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (2, -5), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-1, 6), (3, 2), (4, 1), (0, 0), (2, -3), (1, -5), (2, -6), (1, 4), (0, 6), (2, 3), (3, -5), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (1, -3), (2, -4), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (3, -3), (4, -4), (3, 3), (5, 0), (0, 1), (2, -2), (1, -4), (2, -1), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, -2), (1, 7), (2, 6), (6, 0)} (3) 1-PS = (1, 1/3) yields a state with 75 characters Maximal nonstable state={(4, 0), (3, -1), (3, -2), (4, -3), (5, 1), (8, 0), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (2, -5), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-1, 6), (-2, 6), (3, 2), (4, 1), (0, 0), (2, -3), (2, -6), (1, 4), (0, 6), (2, 3), (3, -5), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (1, -3), (2, -4), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (-1, 4), (3, -3), (4, -4), (3, 3), (5, 0), (0, 1), (2, -2), (2, -1), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (-1, 3), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, -2), (1, 7), (2, 6), (6, 0), (-1, 5)} (4) 1-PS = (1, 2/3) yields a state with 74 characters Maximal nonstable state={(4, 0), (3, -1), (3, -2), (4, -3), (5, 1), (8, 0), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-2, 5), (-1, 6), (-2, 6), (3, 2), (4, 1), (0, 0), (2, -3), (1, 4), (0, 6), (2, 3), (-1, 2), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (-1, 4), (-2, 4), (3, -3), (4, -4), (3, 3), (5, 0), (-3, 5), (0, 1), (2, -2), (2, -1), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (-1, 3), (-2, 3), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, 7), (2, 6), (6, 0), (-1, 5)} (5) 1-PS = (1, 1/7) yields a state with 74 characters Maximal nonstable state={(4, 0), (3, -1), (3, -2), (4, -3), (5, 1), (8, 0), (1, -6), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (2, -5), (1, -7), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (3, 2), (4, 1), (0, 0), (2, -3), (1, -5), (2, -6), (1, 4), (0, 6), (2, 3), (3, -5), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (1, -3), (2, -4), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (3, -3), (4, -4), (3, 3), (5, 0), (0, 1), (2, -2), (1, -4), (2, -1), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, -2), (1, 7), (2, 6), (6, 0)} (6) 1-PS = (1, 3/5) yields a state with 74 characters Maximal nonstable state={(4, 0), (3, -1), (3, -2), (4, -3), (5, 1), (8, 0), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-2, 5), (-1, 6), (-2, 6), (3, 2), (4, 1), (0, 0), (2, -3), (1, 4), (0, 6), (2, 3), (-1, 2), (3, -5), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (-1, 4), (-2, 4), (3, -3), (4, -4), (3, 3), (5, 0), (-3, 5), (0, 1), (2, -2), (2, -1), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (-1, 3), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, 7), (2, 6), (6, 0), (-1, 5)} (7) 1-PS = (1, 1) yields a state with 77 characters Maximal nonstable state={(4, 0), (3, -1), (3, -2), (4, -3), (5, 1), (8, 0), (0, 5), (2, 2), (1, 0), (-4, 4), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-2, 5), (-2, 6), (-1, 6), (3, 2), (4, 1), (-3, 4), (0, 0), (1, 4), (0, 6), (2, 3), (-1, 2), (-2, 2), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (-3, 3), (0, 2), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (-1, 4), (-2, 4), (-1, 1), (3, -3), (4, -4), (3, 3), (5, 0), (-3, 5), (0, 1), (2, -2), (2, -1), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (-1, 3), (-2, 3), (4, -1), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, 7), (2, 6), (6, 0), (-1, 5)} (8) 1-PS = (1, 2/5) yields a state with 74 characters Maximal nonstable state={(4, 0), (3, -1), (3, -2), (4, -3), (5, 1), (8, 0), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (2, -5), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-2, 5), (-1, 6), (-2, 6), (3, 2), (4, 1), (0, 0), (2, -3), (1, 4), (0, 6), (2, 3), (3, -5), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (2, -4), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (-1, 4), (3, -3), (4, -4), (3, 3), (5, 0), (0, 1), (2, -2), (2, -1), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (-1, 3), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, -2), (1, 7), (2, 6), (6, 0), (-1, 5)} (9) 1-PS = (1, 0) yields a state with 81 characters Maximal nonstable state={(4, 0), (3, -1), (3, -2), (4, -3), (5, 1), (8, 0), (1, -6), (0, -4), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (4, 2), (3, 0), (5, -3), (5, 3), (0, -1), (0, -2), (2, -5), (1, -7), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (3, 2), (4, 1), (0, 0), (2, -3), (1, -5), (2, -6), (1, 4), (0, 6), (2, 3), (3, -5), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, -7), (0, 2), (1, -3), (2, -4), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (3, -3), (4, -4), (3, 3), (5, 0), (0, -5), (0, -8), (0, 1), (2, -2), (1, -4), (2, -1), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (0, -3), (0, -6), (1, 1), (0, 3), (2, 0), (1, -1), (1, -2), (1, 7), (2, 6), (6, 0)} (10) 1-PS = (1, 1/4) yields a state with 74 characters Maximal nonstable state={(4, 0), (3, -1), (3, -2), (4, -3), (5, 1), (8, 0), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (2, -5), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-1, 6), (3, 2), (4, 1), (0, 0), (2, -3), (2, -6), (1, 4), (0, 6), (2, 3), (3, -5), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (1, -3), (2, -4), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (-1, 4), (3, -3), (4, -4), (3, 3), (5, 0), (0, 1), (2, -2), (1, -4), (2, -1), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, -2), (1, 7), (2, 6), (6, 0), (-1, 5)} (11) 1-PS = (1, 1/5) yields a state with 74 characters Maximal nonstable state={(4, 0), (3, -1), (3, -2), (4, -3), (5, 1), (8, 0), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (2, -5), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-1, 6), (3, 2), (4, 1), (0, 0), (2, -3), (1, -5), (2, -6), (1, 4), (0, 6), (2, 3), (3, -5), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (1, -3), (2, -4), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (3, -3), (4, -4), (3, 3), (5, 0), (0, 1), (2, -2), (1, -4), (2, -1), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, -2), (1, 7), (2, 6), (6, 0), (-1, 5)} (12) 1-PS = (1, 1/2) yields a state with 75 characters Maximal nonstable state={(4, 0), (3, -1), (3, -2), (4, -3), (5, 1), (8, 0), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-2, 5), (-1, 6), (-2, 6), (3, 2), (4, 1), (0, 0), (2, -3), (1, 4), (0, 6), (2, 3), (-1, 2), (3, -5), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (2, -4), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (-1, 4), (-2, 4), (3, -3), (4, -4), (3, 3), (5, 0), (0, 1), (2, -2), (2, -1), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (-1, 3), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, -2), (1, 7), (2, 6), (6, 0), (-1, 5)} ************************************** SOLUTION TO GIT PROBLEM: UNSTABLE LOCI ************************************** Group: B2 RepresentationB2(8,0) Set of maximal unstable states: (1) 1-PS = (1, 2/9) yields a state with 72 characters Maximal unstable state={(4, 0), (3, -2), (3, -1), (4, -3), (5, 1), (8, 0), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (2, -5), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-1, 6), (3, 2), (4, 1), (2, -3), (2, -6), (1, 4), (0, 6), (2, 3), (3, -5), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (1, -3), (2, -4), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (3, -3), (4, -4), (3, 3), (5, 0), (0, 1), (2, -1), (2, -2), (1, -4), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, -2), (1, 7), (2, 6), (6, 0), (-1, 5)} (2) 1-PS = (1, 2/13) yields a state with 72 characters Maximal unstable state={(4, 0), (3, -2), (3, -1), (4, -3), (5, 1), (8, 0), (1, -6), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (2, -5), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (3, 2), (4, 1), (2, -3), (1, -5), (2, -6), (1, 4), (0, 6), (2, 3), (3, -5), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (1, -3), (2, -4), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (3, -3), (4, -4), (3, 3), (5, 0), (0, 1), (2, -1), (2, -2), (1, -4), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, -2), (1, 7), (2, 6), (6, 0)} (3) 1-PS = (1, 5/9) yields a state with 72 characters Maximal unstable state={(4, 0), (3, -2), (3, -1), (4, -3), (5, 1), (8, 0), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-1, 5), (-1, 6), (-2, 6), (3, 2), (4, 1), (2, -3), (1, 4), (0, 6), (2, 3), (-1, 2), (3, -5), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (-1, 4), (-2, 4), (3, -3), (4, -4), (3, 3), (5, 0), (0, 1), (2, -1), (2, -2), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (-1, 3), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, 7), (2, 6), (6, 0), (-2, 5)} (4) 1-PS = (1, 5/11) yields a state with 72 characters Maximal unstable state={(4, 0), (3, -2), (3, -1), (4, -3), (5, 1), (8, 0), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-1, 5), (-1, 6), (-2, 6), (3, 2), (4, 1), (2, -3), (1, 4), (0, 6), (2, 3), (3, -5), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (2, -4), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (-1, 4), (3, -3), (4, -4), (3, 3), (5, 0), (0, 1), (2, -1), (2, -2), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (-1, 3), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, -2), (1, 7), (2, 6), (6, 0), (-2, 5)} (5) 1-PS = (1, 5/7) yields a state with 72 characters Maximal unstable state={(4, 0), (3, -2), (3, -1), (4, -3), (5, 1), (8, 0), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-1, 5), (-1, 6), (-2, 6), (3, 2), (4, 1), (1, 4), (0, 6), (2, 3), (-1, 2), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (-1, 4), (-2, 4), (3, -3), (4, -4), (3, 3), (5, 0), (-3, 5), (0, 1), (2, -1), (2, -2), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (-1, 3), (-2, 3), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, 7), (2, 6), (6, 0), (-2, 5)} (6) 1-PS = (1, 6/7) yields a state with 72 characters Maximal unstable state={(4, 0), (3, -2), (3, -1), (4, -3), (5, 1), (8, 0), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-1, 5), (-1, 6), (-2, 6), (3, 2), (4, 1), (-3, 4), (1, 4), (0, 6), (2, 3), (-1, 2), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (-1, 4), (-2, 4), (3, -3), (4, -4), (3, 3), (5, 0), (-3, 5), (0, 1), (2, -1), (2, -2), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (-1, 3), (-2, 3), (4, -1), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, 7), (2, 6), (6, 0), (-2, 5)} (7) 1-PS = (1, 5/8) yields a state with 72 characters Maximal unstable state={(4, 0), (3, -2), (3, -1), (4, -3), (5, 1), (8, 0), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-1, 5), (-1, 6), (-2, 6), (3, 2), (4, 1), (2, -3), (1, 4), (0, 6), (2, 3), (-1, 2), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (-1, 4), (-2, 4), (3, -3), (4, -4), (3, 3), (5, 0), (-3, 5), (0, 1), (2, -1), (2, -2), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (-1, 3), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, 7), (2, 6), (6, 0), (-2, 5)} (8) 1-PS = (1, 2/11) yields a state with 72 characters Maximal unstable state={(4, 0), (3, -2), (3, -1), (4, -3), (5, 1), (8, 0), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (2, -5), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-1, 6), (3, 2), (4, 1), (2, -3), (1, -5), (2, -6), (1, 4), (0, 6), (2, 3), (3, -5), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (1, -3), (2, -4), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (3, -3), (4, -4), (3, 3), (5, 0), (0, 1), (2, -1), (2, -2), (1, -4), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, -2), (1, 7), (2, 6), (6, 0)} (9) 1-PS = (1, 4/11) yields a state with 72 characters Maximal unstable state={(4, 0), (3, -2), (3, -1), (4, -3), (5, 1), (8, 0), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (2, -5), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-1, 6), (-2, 6), (3, 2), (4, 1), (2, -3), (1, 4), (0, 6), (2, 3), (3, -5), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (2, -4), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (-1, 4), (3, -3), (4, -4), (3, 3), (5, 0), (0, 1), (2, -1), (2, -2), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (-1, 3), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, -2), (1, 7), (2, 6), (6, 0), (-1, 5)} (10) 1-PS = (1, 1/8) yields a state with 72 characters Maximal unstable state={(4, 0), (3, -2), (3, -1), (4, -3), (5, 1), (8, 0), (1, -6), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (4, 2), (3, 0), (5, -3), (5, 3), (2, -5), (1, -7), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (3, 2), (4, 1), (2, -3), (1, -5), (2, -6), (1, 4), (0, 6), (2, 3), (3, -5), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (1, -3), (2, -4), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (3, -3), (4, -4), (3, 3), (5, 0), (0, 1), (2, -1), (2, -2), (1, -4), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, -2), (1, 7), (2, 6), (6, 0)} (11) 1-PS = (1, 3/10) yields a state with 72 characters Maximal unstable state={(4, 0), (3, -2), (3, -1), (4, -3), (5, 1), (8, 0), (0, 5), (2, 2), (1, 0), (6, 2), (7, 1), (-1, 7), (4, 2), (3, 0), (5, -3), (5, 3), (2, -5), (0, 7), (2, 4), (1, 2), (0, 4), (2, 1), (-1, 6), (3, 2), (4, 1), (2, -3), (2, -6), (1, 4), (0, 6), (2, 3), (3, -5), (3, 4), (4, 3), (3, 1), (5, -1), (5, -2), (0, 2), (1, -3), (2, -4), (1, 6), (0, 8), (2, 5), (1, 3), (7, -1), (-1, 4), (3, -3), (4, -4), (3, 3), (5, 0), (0, 1), (2, -1), (2, -2), (1, 5), (6, 1), (7, 0), (6, -1), (6, -2), (4, -1), (3, -4), (4, -2), (3, 5), (5, 2), (4, 4), (1, 1), (0, 3), (2, 0), (1, -1), (1, -2), (1, 7), (2, 6), (6, 0), (-1, 5)} ************************************************************* SOLUTION TO GIT PROBLEM: STRICTLY POLYSTABLE LOCI ************************************************************* Group: B2 RepresentationB2(8,0) Set of strictly polystable states: (1) A state with 3 characters Strictly polystable state={(1, -4), (-1, 4), (0, 0)} (2) A state with 3 characters Strictly polystable state={(1, -6), (-1, 6), (0, 0)} (3) A state with 5 characters Strictly polystable state={(-2, 4), (0, 0), (2, -4), (-1, 2), (1, -2)} (4) A state with 17 characters Strictly polystable state={(0, 1), (0, 7), (0, 4), (0, -7), (0, -1), (0, -4), (0, 2), (0, 5), (0, 8), (0, -3), (0, -6), (0, 0), (0, 3), (0, 6), (0, -5), (0, -8), (0, -2)} (5) A state with 5 characters Strictly polystable state={(1, -3), (-1, 3), (0, 0), (-2, 6), (2, -6)} (6) A state with 3 characters Strictly polystable state={(3, -4), (-3, 4), (0, 0)} (7) A state with 9 characters Strictly polystable state={(-4, 4), (2, -2), (0, 0), (-1, 1), (3, -3), (4, -4), (1, -1), (-3, 3), (-2, 2)} (8) A state with 3 characters Strictly polystable state={(-2, 5), (2, -5), (0, 0)} (9) A state with 3 characters Strictly polystable state={(0, 0), (1, -5), (-1, 5)} (10) A state with 1 characters Strictly polystable state={(0, 0)} (11) A state with 3 characters Strictly polystable state={(2, -3), (-2, 3), (0, 0)} (12) A state with 3 characters Strictly polystable state={(-1, 7), (1, -7), (0, 0)} (13) A state with 3 characters Strictly polystable state={(3, -5), (-3, 5), (0, 0)}