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SOLUTION TO GIT PROBLEM: NONSTABLE LOCI
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Group: A2 RepresentationA2(9,0,0)
Set of maximal non-stable states:
(1) 1-PS = (1, 1/4, -5/4) yields a state with 31 characters
Maximal nonstable state={(5, 1, 3), (3, 5, 1), (3, 4, 2), (5, 0, 4), (4, 3, 2), (2, 7, 0), (2, 6, 1), (7, 0, 2), (5, 4, 0), (1, 8, 0), (6, 2, 1), (6, 1, 2), (8, 0, 1), (9, 0, 0), (7, 1, 1), (1, 6, 2), (3, 3, 3), (8, 1, 0), (0, 8, 1), (6, 0, 3), (2, 5, 2), (0, 9, 0), (4, 2, 3), (1, 7, 1), (5, 3, 1), (5, 2, 2), (4, 5, 0), (4, 4, 1), (7, 2, 0), (3, 6, 0), (6, 3, 0)}
(2) 1-PS = (1, 1, -2) yields a state with 34 characters
Maximal nonstable state={(7, 0, 2), (5, 4, 0), (6, 2, 1), (0, 6, 3), (8, 0, 1), (1, 6, 2), (2, 4, 3), (0, 8, 1), (6, 0, 3), (5, 3, 1), (5, 2, 2), (4, 5, 0), (4, 4, 1), (3, 6, 0), (5, 1, 3), (3, 5, 1), (3, 4, 2), (4, 3, 2), (2, 7, 0), (2, 6, 1), (1, 8, 0), (6, 1, 2), (1, 5, 3), (9, 0, 0), (3, 3, 3), (8, 1, 0), (2, 5, 2), (0, 9, 0), (4, 2, 3), (1, 7, 1), (7, 2, 0), (7, 1, 1), (6, 3, 0), (0, 7, 2)}
(3) 1-PS = (1, 0, -1) yields a state with 30 characters
Maximal nonstable state={(5, 1, 3), (3, 5, 1), (3, 4, 2), (5, 0, 4), (4, 3, 2), (2, 7, 0), (2, 6, 1), (7, 0, 2), (5, 4, 0), (1, 8, 0), (6, 2, 1), (6, 1, 2), (8, 0, 1), (9, 0, 0), (4, 1, 4), (7, 1, 1), (3, 3, 3), (8, 1, 0), (6, 0, 3), (2, 5, 2), (0, 9, 0), (4, 2, 3), (1, 7, 1), (5, 3, 1), (5, 2, 2), (4, 5, 0), (4, 4, 1), (7, 2, 0), (3, 6, 0), (6, 3, 0)}
(4) 1-PS = (1, -1/2, -1/2) yields a state with 28 characters
Maximal nonstable state={(5, 1, 3), (3, 5, 1), (3, 4, 2), (5, 0, 4), (4, 3, 2), (7, 0, 2), (5, 4, 0), (3, 0, 6), (6, 2, 1), (6, 1, 2), (8, 0, 1), (4, 0, 5), (9, 0, 0), (4, 1, 4), (7, 1, 1), (3, 2, 4), (3, 3, 3), (8, 1, 0), (6, 0, 3), (4, 2, 3), (5, 3, 1), (5, 2, 2), (4, 5, 0), (4, 4, 1), (7, 2, 0), (3, 6, 0), (3, 1, 5), (6, 3, 0)}
(5) 1-PS = (1, -1/5, -4/5) yields a state with 27 characters
Maximal nonstable state={(5, 1, 3), (3, 5, 1), (3, 4, 2), (5, 0, 4), (4, 3, 2), (2, 7, 0), (2, 6, 1), (7, 0, 2), (5, 4, 0), (6, 2, 1), (6, 1, 2), (8, 0, 1), (4, 0, 5), (9, 0, 0), (4, 1, 4), (7, 1, 1), (3, 3, 3), (8, 1, 0), (6, 0, 3), (4, 2, 3), (5, 3, 1), (5, 2, 2), (4, 5, 0), (4, 4, 1), (7, 2, 0), (3, 6, 0), (6, 3, 0)}


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SOLUTION TO GIT PROBLEM: UNSTABLE LOCI
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Group: A2 RepresentationA2(9,0,0)
Set of maximal unstable states:
(1) 1-PS = (1, 1/2, -3/2) yields a state with 30 characters
Maximal unstable state={(5, 1, 3), (3, 5, 1), (3, 4, 2), (4, 3, 2), (2, 7, 0), (2, 6, 1), (7, 0, 2), (5, 4, 0), (1, 8, 0), (6, 2, 1), (6, 1, 2), (8, 0, 1), (9, 0, 0), (7, 1, 1), (1, 6, 2), (8, 1, 0), (0, 8, 1), (6, 0, 3), (2, 5, 2), (0, 9, 0), (4, 2, 3), (5, 2, 2), (1, 7, 1), (5, 3, 1), (4, 5, 0), (4, 4, 1), (7, 2, 0), (3, 6, 0), (6, 3, 0), (0, 7, 2)}
(2) 1-PS = (1, -1/11, -10/11) yields a state with 26 characters
Maximal unstable state={(5, 1, 3), (5, 0, 4), (3, 4, 2), (3, 5, 1), (4, 3, 2), (2, 7, 0), (2, 6, 1), (7, 0, 2), (5, 4, 0), (1, 8, 0), (6, 2, 1), (6, 1, 2), (8, 0, 1), (9, 0, 0), (4, 1, 4), (7, 1, 1), (8, 1, 0), (6, 0, 3), (4, 2, 3), (5, 3, 1), (5, 2, 2), (4, 5, 0), (4, 4, 1), (7, 2, 0), (3, 6, 0), (6, 3, 0)}
(3) 1-PS = (1, -1/4, -3/4) yields a state with 25 characters
Maximal unstable state={(5, 1, 3), (5, 0, 4), (3, 4, 2), (3, 5, 1), (4, 3, 2), (2, 7, 0), (7, 0, 2), (5, 4, 0), (6, 2, 1), (6, 1, 2), (8, 0, 1), (4, 0, 5), (9, 0, 0), (4, 1, 4), (7, 1, 1), (8, 1, 0), (6, 0, 3), (4, 2, 3), (5, 3, 1), (5, 2, 2), (4, 5, 0), (4, 4, 1), (7, 2, 0), (3, 6, 0), (6, 3, 0)}
(4) 1-PS = (1, 2/11, -13/11) yields a state with 29 characters
Maximal unstable state={(5, 1, 3), (5, 0, 4), (3, 4, 2), (3, 5, 1), (4, 3, 2), (2, 7, 0), (2, 6, 1), (7, 0, 2), (5, 4, 0), (1, 8, 0), (6, 2, 1), (6, 1, 2), (8, 0, 1), (9, 0, 0), (7, 1, 1), (8, 1, 0), (0, 8, 1), (6, 0, 3), (2, 5, 2), (0, 9, 0), (4, 2, 3), (5, 2, 2), (1, 7, 1), (5, 3, 1), (4, 5, 0), (4, 4, 1), (7, 2, 0), (3, 6, 0), (6, 3, 0)}


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SOLUTION TO GIT PROBLEM: STRICTLY POLYSTABLE LOCI
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Group: A2 RepresentationA2(9,0,0)
Set of strictly polystable states:
(1) A state with 7 characters
Strictly polystable state={(1, 5, 3), (5, 1, 3), (0, 6, 3), (3, 3, 3), (2, 4, 3), (6, 0, 3), (4, 2, 3)}
(2) A state with 3 characters
Strictly polystable state={(5, 0, 4), (1, 6, 2), (3, 3, 3)}
(3) A state with 1 characters
Strictly polystable state={(3, 3, 3)}
(4) A state with 5 characters
Strictly polystable state={(4, 1, 4), (3, 3, 3), (2, 5, 2), (0, 9, 0), (1, 7, 1)}