*************************************** SOLUTION TO GIT PROBLEM: NONSTABLE LOCI *************************************** Group: B2 RepresentationB2(3,0) Set of maximal non-stable states: (1) 1-PS = (1, 1/2) yields a state with 14 characters Maximal nonstable state={(0, 1), (2, -1), (1, 2), (2, 1), (0, 0), (1, 1), (0, 3), (2, 0), (1, -1), (1, -2), (3, 0), (0, 2), (1, 0), (-1, 2)} (2) 1-PS = (1, 1) yields a state with 14 characters Maximal nonstable state={(0, 1), (2, -1), (1, 2), (2, 1), (0, 0), (-1, 1), (1, 1), (0, 3), (2, 0), (1, -1), (3, 0), (0, 2), (1, 0), (-1, 2)} (3) 1-PS = (1, 0) yields a state with 16 characters Maximal nonstable state={(0, 1), (2, -1), (1, 2), (2, 1), (0, -2), (0, 2), (1, 0), (0, -3), (0, 0), (1, 1), (0, 3), (2, 0), (1, -1), (1, -2), (3, 0), (0, -1)} ************************************** SOLUTION TO GIT PROBLEM: UNSTABLE LOCI ************************************** Group: B2 RepresentationB2(3,0) Set of maximal unstable states: (1) 1-PS = (1, 1/3) yields a state with 12 characters Maximal unstable state={(0, 1), (2, -1), (1, 2), (2, 1), (1, 1), (0, 3), (2, 0), (1, -1), (1, -2), (3, 0), (0, 2), (1, 0)} (2) 1-PS = (1, 2/3) yields a state with 12 characters Maximal unstable state={(0, 1), (2, -1), (1, 2), (2, 1), (1, 1), (0, 3), (2, 0), (1, -1), (3, 0), (0, 2), (1, 0), (-1, 2)} ************************************************************* SOLUTION TO GIT PROBLEM: STRICTLY POLYSTABLE LOCI ************************************************************* Group: B2 RepresentationB2(3,0) Set of strictly polystable states: (1) A state with 1 characters Strictly polystable state={(0, 0)} (2) A state with 3 characters Strictly polystable state={(-1, 2), (1, -2), (0, 0)} (3) A state with 3 characters Strictly polystable state={(-1, 1), (1, -1), (0, 0)} (4) A state with 7 characters Strictly polystable state={(0, 1), (0, 2), (0, -3), (0, 0), (0, 3), (0, -2), (0, -1)}