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SOLUTION TO GIT PROBLEM: NONSTABLE LOCI
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Group: A2 RepresentationA2(13,0,0)
Set of maximal non-stable states:
(1) 1-PS = (1, 1/3, -4/3) yields a state with 58 characters
Maximal nonstable state={(8, 0, 5), (0, 12, 1), (1, 10, 2), (12, 1, 0), (7, 3, 3), (5, 6, 2), (8, 1, 4), (4, 9, 0), (4, 8, 1), (6, 5, 2), (6, 4, 3), (8, 2, 3), (3, 10, 0), (5, 7, 1), (11, 2, 0), (11, 1, 1), (6, 2, 5), (7, 1, 5), (5, 5, 3), (5, 4, 4), (3, 8, 2), (10, 3, 0), (4, 7, 2), (4, 6, 3), (2, 11, 0), (2, 10, 1), (3, 9, 1), (1, 12, 0), (11, 0, 2), (9, 3, 1), (10, 2, 1), (12, 0, 1), (8, 5, 0), (9, 4, 0), (4, 5, 4), (2, 9, 2), (6, 3, 4), (3, 7, 3), (1, 11, 1), (10, 0, 3), (0, 13, 0), (8, 3, 2), (9, 2, 2), (9, 1, 3), (7, 5, 1), (8, 4, 1), (6, 7, 0), (7, 6, 0), (0, 11, 2), (1, 9, 3), (9, 0, 4), (7, 4, 2), (10, 1, 2), (6, 6, 1), (5, 8, 0), (13, 0, 0), (7, 2, 4), (2, 8, 3)}
(2) 1-PS = (1, -1/7, -6/7) yields a state with 50 characters
Maximal nonstable state={(8, 0, 5), (12, 1, 0), (7, 3, 3), (5, 6, 2), (8, 1, 4), (6, 5, 2), (4, 9, 0), (4, 8, 1), (6, 4, 3), (8, 2, 3), (7, 2, 4), (3, 10, 0), (5, 7, 1), (7, 0, 6), (11, 2, 0), (11, 1, 1), (6, 2, 5), (7, 1, 5), (5, 5, 3), (5, 4, 4), (3, 8, 2), (10, 3, 0), (4, 7, 2), (4, 6, 3), (2, 11, 0), (3, 9, 1), (11, 0, 2), (6, 1, 6), (9, 3, 1), (10, 2, 1), (5, 3, 5), (12, 0, 1), (8, 5, 0), (9, 4, 0), (6, 3, 4), (10, 0, 3), (8, 3, 2), (9, 2, 2), (9, 1, 3), (7, 5, 1), (8, 4, 1), (6, 7, 0), (7, 6, 0), (9, 0, 4), (7, 4, 2), (10, 1, 2), (6, 6, 1), (5, 8, 0), (13, 0, 0), (6, 0, 7)}
(3) 1-PS = (1, 4/5, -9/5) yields a state with 60 characters
Maximal nonstable state={(0, 12, 1), (1, 10, 2), (12, 1, 0), (7, 3, 3), (5, 6, 2), (8, 1, 4), (4, 9, 0), (4, 8, 1), (6, 5, 2), (6, 4, 3), (8, 2, 3), (3, 10, 0), (5, 7, 1), (11, 2, 0), (11, 1, 1), (5, 5, 3), (5, 4, 4), (3, 8, 2), (10, 3, 0), (4, 7, 2), (4, 6, 3), (2, 11, 0), (2, 10, 1), (3, 9, 1), (1, 12, 0), (11, 0, 2), (9, 3, 1), (10, 2, 1), (12, 0, 1), (8, 5, 0), (9, 4, 0), (4, 5, 4), (2, 9, 2), (6, 3, 4), (3, 7, 3), (1, 11, 1), (10, 0, 3), (0, 13, 0), (8, 3, 2), (9, 2, 2), (9, 1, 3), (7, 5, 1), (8, 4, 1), (6, 7, 0), (7, 6, 0), (2, 7, 4), (0, 11, 2), (1, 9, 3), (9, 0, 4), (7, 4, 2), (1, 8, 4), (10, 1, 2), (6, 6, 1), (0, 10, 3), (5, 8, 0), (13, 0, 0), (0, 9, 4), (3, 6, 4), (7, 2, 4), (2, 8, 3)}
(4) 1-PS = (1, -1/4, -3/4) yields a state with 49 characters
Maximal nonstable state={(8, 0, 5), (12, 1, 0), (7, 3, 3), (5, 6, 2), (8, 1, 4), (6, 5, 2), (4, 9, 0), (4, 8, 1), (6, 4, 3), (8, 2, 3), (7, 2, 4), (3, 10, 0), (5, 7, 1), (7, 0, 6), (11, 2, 0), (11, 1, 1), (6, 2, 5), (7, 1, 5), (5, 5, 3), (5, 4, 4), (10, 3, 0), (4, 7, 2), (4, 6, 3), (3, 9, 1), (11, 0, 2), (6, 1, 6), (9, 3, 1), (10, 2, 1), (5, 3, 5), (12, 0, 1), (8, 5, 0), (9, 4, 0), (6, 3, 4), (10, 0, 3), (8, 3, 2), (9, 2, 2), (9, 1, 3), (7, 5, 1), (8, 4, 1), (6, 7, 0), (7, 6, 0), (9, 0, 4), (7, 4, 2), (10, 1, 2), (6, 6, 1), (5, 8, 0), (13, 0, 0), (6, 0, 7), (5, 2, 6)}
(5) 1-PS = (1, 0, -1) yields a state with 56 characters
Maximal nonstable state={(8, 0, 5), (12, 1, 0), (7, 3, 3), (5, 6, 2), (8, 1, 4), (6, 5, 2), (4, 9, 0), (4, 8, 1), (6, 4, 3), (8, 2, 3), (7, 2, 4), (3, 10, 0), (5, 7, 1), (7, 0, 6), (11, 2, 0), (11, 1, 1), (6, 2, 5), (7, 1, 5), (5, 5, 3), (5, 4, 4), (3, 8, 2), (10, 3, 0), (4, 7, 2), (4, 6, 3), (2, 11, 0), (2, 10, 1), (3, 9, 1), (1, 12, 0), (11, 0, 2), (6, 1, 6), (9, 3, 1), (10, 2, 1), (5, 3, 5), (12, 0, 1), (8, 5, 0), (9, 4, 0), (4, 5, 4), (2, 9, 2), (6, 3, 4), (3, 7, 3), (1, 11, 1), (10, 0, 3), (0, 13, 0), (8, 3, 2), (9, 2, 2), (9, 1, 3), (7, 5, 1), (8, 4, 1), (6, 7, 0), (7, 6, 0), (9, 0, 4), (7, 4, 2), (10, 1, 2), (6, 6, 1), (5, 8, 0), (13, 0, 0)}
(6) 1-PS = (1, -1/3, -2/3) yields a state with 48 characters
Maximal nonstable state={(8, 0, 5), (12, 1, 0), (7, 3, 3), (5, 6, 2), (8, 1, 4), (6, 5, 2), (4, 9, 0), (4, 8, 1), (6, 4, 3), (8, 2, 3), (7, 2, 4), (5, 7, 1), (7, 0, 6), (11, 2, 0), (11, 1, 1), (6, 2, 5), (7, 1, 5), (5, 5, 3), (5, 4, 4), (10, 3, 0), (4, 7, 2), (4, 6, 3), (11, 0, 2), (6, 1, 6), (9, 3, 1), (10, 2, 1), (5, 3, 5), (12, 0, 1), (8, 5, 0), (9, 4, 0), (6, 3, 4), (10, 0, 3), (8, 3, 2), (9, 2, 2), (9, 1, 3), (7, 5, 1), (5, 1, 7), (8, 4, 1), (6, 7, 0), (7, 6, 0), (9, 0, 4), (7, 4, 2), (10, 1, 2), (6, 6, 1), (5, 8, 0), (13, 0, 0), (6, 0, 7), (5, 2, 6)}
(7) 1-PS = (1, 1/2, -3/2) yields a state with 59 characters
Maximal nonstable state={(8, 0, 5), (0, 12, 1), (1, 10, 2), (12, 1, 0), (7, 3, 3), (5, 6, 2), (8, 1, 4), (4, 9, 0), (4, 8, 1), (6, 5, 2), (6, 4, 3), (8, 2, 3), (3, 10, 0), (5, 7, 1), (11, 2, 0), (11, 1, 1), (7, 1, 5), (5, 5, 3), (5, 4, 4), (3, 8, 2), (10, 3, 0), (4, 7, 2), (4, 6, 3), (2, 11, 0), (2, 10, 1), (3, 9, 1), (1, 12, 0), (11, 0, 2), (9, 3, 1), (10, 2, 1), (12, 0, 1), (8, 5, 0), (9, 4, 0), (4, 5, 4), (2, 9, 2), (6, 3, 4), (3, 7, 3), (1, 11, 1), (10, 0, 3), (0, 13, 0), (8, 3, 2), (9, 2, 2), (9, 1, 3), (7, 5, 1), (8, 4, 1), (6, 7, 0), (7, 6, 0), (0, 11, 2), (1, 9, 3), (9, 0, 4), (7, 4, 2), (10, 1, 2), (6, 6, 1), (0, 10, 3), (5, 8, 0), (13, 0, 0), (3, 6, 4), (7, 2, 4), (2, 8, 3)}
(8) 1-PS = (1, 1/8, -9/8) yields a state with 56 characters
Maximal nonstable state={(8, 0, 5), (0, 12, 1), (1, 10, 2), (12, 1, 0), (7, 3, 3), (5, 6, 2), (8, 1, 4), (4, 9, 0), (4, 8, 1), (6, 5, 2), (6, 4, 3), (8, 2, 3), (3, 10, 0), (5, 7, 1), (7, 0, 6), (11, 2, 0), (11, 1, 1), (6, 2, 5), (7, 1, 5), (5, 5, 3), (5, 4, 4), (3, 8, 2), (10, 3, 0), (4, 7, 2), (4, 6, 3), (2, 11, 0), (2, 10, 1), (3, 9, 1), (1, 12, 0), (11, 0, 2), (9, 3, 1), (10, 2, 1), (12, 0, 1), (8, 5, 0), (9, 4, 0), (4, 5, 4), (2, 9, 2), (6, 3, 4), (3, 7, 3), (1, 11, 1), (10, 0, 3), (0, 13, 0), (8, 3, 2), (9, 2, 2), (9, 1, 3), (7, 5, 1), (8, 4, 1), (6, 7, 0), (7, 6, 0), (9, 0, 4), (7, 4, 2), (10, 1, 2), (6, 6, 1), (5, 8, 0), (13, 0, 0), (7, 2, 4)}
(9) 1-PS = (1, -2/5, -3/5) yields a state with 48 characters
Maximal nonstable state={(8, 0, 5), (12, 1, 0), (7, 3, 3), (5, 6, 2), (8, 1, 4), (6, 5, 2), (4, 9, 0), (4, 8, 1), (6, 4, 3), (8, 2, 3), (7, 2, 4), (5, 7, 1), (7, 0, 6), (11, 2, 0), (11, 1, 1), (6, 2, 5), (7, 1, 5), (5, 5, 3), (5, 4, 4), (10, 3, 0), (4, 7, 2), (11, 0, 2), (6, 1, 6), (9, 3, 1), (10, 2, 1), (5, 3, 5), (12, 0, 1), (8, 5, 0), (9, 4, 0), (6, 3, 4), (10, 0, 3), (8, 3, 2), (9, 2, 2), (9, 1, 3), (7, 5, 1), (5, 1, 7), (8, 4, 1), (6, 7, 0), (7, 6, 0), (5, 0, 8), (9, 0, 4), (7, 4, 2), (10, 1, 2), (6, 6, 1), (5, 8, 0), (13, 0, 0), (6, 0, 7), (5, 2, 6)}


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SOLUTION TO GIT PROBLEM: UNSTABLE LOCI
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Group: A2 RepresentationA2(13,0,0)
Set of maximal unstable states:
(1) 1-PS = (1, 1, -2) yields a state with 60 characters
Maximal unstable state={(0, 12, 1), (1, 10, 2), (7, 2, 4), (5, 6, 2), (8, 1, 4), (7, 3, 3), (4, 9, 0), (4, 8, 1), (12, 1, 0), (5, 7, 1), (6, 5, 2), (3, 10, 0), (6, 4, 3), (8, 2, 3), (11, 2, 0), (11, 1, 1), (5, 5, 3), (5, 4, 4), (3, 8, 2), (10, 3, 0), (4, 7, 2), (4, 6, 3), (2, 11, 0), (2, 10, 1), (3, 9, 1), (1, 12, 0), (11, 0, 2), (9, 3, 1), (10, 2, 1), (12, 0, 1), (8, 5, 0), (9, 4, 0), (4, 5, 4), (2, 9, 2), (6, 3, 4), (3, 7, 3), (1, 11, 1), (10, 0, 3), (0, 13, 0), (8, 3, 2), (9, 2, 2), (9, 1, 3), (7, 5, 1), (8, 4, 1), (6, 7, 0), (7, 6, 0), (2, 7, 4), (0, 11, 2), (1, 9, 3), (9, 0, 4), (7, 4, 2), (1, 8, 4), (10, 1, 2), (6, 6, 1), (5, 8, 0), (0, 10, 3), (13, 0, 0), (0, 9, 4), (3, 6, 4), (2, 8, 3)}
(2) 1-PS = (1, 4/7, -11/7) yields a state with 58 characters
Maximal unstable state={(8, 0, 5), (0, 12, 1), (1, 10, 2), (7, 2, 4), (5, 6, 2), (8, 1, 4), (7, 3, 3), (4, 9, 0), (4, 8, 1), (12, 1, 0), (5, 7, 1), (6, 5, 2), (3, 10, 0), (6, 4, 3), (8, 2, 3), (11, 2, 0), (11, 1, 1), (5, 5, 3), (5, 4, 4), (3, 8, 2), (10, 3, 0), (4, 7, 2), (4, 6, 3), (2, 11, 0), (2, 10, 1), (3, 9, 1), (1, 12, 0), (11, 0, 2), (9, 3, 1), (10, 2, 1), (12, 0, 1), (8, 5, 0), (9, 4, 0), (4, 5, 4), (2, 9, 2), (6, 3, 4), (3, 7, 3), (1, 11, 1), (10, 0, 3), (0, 13, 0), (8, 3, 2), (9, 2, 2), (9, 1, 3), (7, 5, 1), (8, 4, 1), (6, 7, 0), (7, 6, 0), (0, 11, 2), (1, 9, 3), (9, 0, 4), (7, 4, 2), (10, 1, 2), (6, 6, 1), (5, 8, 0), (0, 10, 3), (13, 0, 0), (3, 6, 4), (2, 8, 3)}
(3) 1-PS = (1, 4/13, -17/13) yields a state with 57 characters
Maximal unstable state={(8, 0, 5), (0, 12, 1), (1, 10, 2), (7, 2, 4), (5, 6, 2), (8, 1, 4), (7, 3, 3), (4, 9, 0), (4, 8, 1), (12, 1, 0), (5, 7, 1), (6, 5, 2), (3, 10, 0), (6, 4, 3), (8, 2, 3), (11, 2, 0), (11, 1, 1), (6, 2, 5), (7, 1, 5), (5, 5, 3), (5, 4, 4), (3, 8, 2), (10, 3, 0), (4, 7, 2), (4, 6, 3), (2, 11, 0), (2, 10, 1), (3, 9, 1), (1, 12, 0), (11, 0, 2), (9, 3, 1), (10, 2, 1), (12, 0, 1), (8, 5, 0), (9, 4, 0), (4, 5, 4), (2, 9, 2), (6, 3, 4), (3, 7, 3), (1, 11, 1), (10, 0, 3), (0, 13, 0), (8, 3, 2), (9, 2, 2), (9, 1, 3), (7, 5, 1), (8, 4, 1), (6, 7, 0), (7, 6, 0), (0, 11, 2), (9, 0, 4), (7, 4, 2), (10, 1, 2), (6, 6, 1), (5, 8, 0), (13, 0, 0), (2, 8, 3)}
(4) 1-PS = (1, -1/17, -16/17) yields a state with 51 characters
Maximal unstable state={(8, 0, 5), (7, 3, 3), (7, 2, 4), (5, 6, 2), (8, 1, 4), (12, 1, 0), (4, 9, 0), (4, 8, 1), (6, 5, 2), (5, 7, 1), (6, 4, 3), (3, 10, 0), (8, 2, 3), (7, 0, 6), (11, 2, 0), (11, 1, 1), (6, 2, 5), (7, 1, 5), (5, 5, 3), (5, 4, 4), (3, 8, 2), (10, 3, 0), (4, 7, 2), (4, 6, 3), (2, 11, 0), (2, 10, 1), (3, 9, 1), (1, 12, 0), (11, 0, 2), (6, 1, 6), (9, 3, 1), (10, 2, 1), (5, 3, 5), (12, 0, 1), (8, 5, 0), (9, 4, 0), (6, 3, 4), (10, 0, 3), (8, 3, 2), (9, 2, 2), (9, 1, 3), (7, 5, 1), (8, 4, 1), (6, 7, 0), (7, 6, 0), (9, 0, 4), (7, 4, 2), (10, 1, 2), (6, 6, 1), (5, 8, 0), (13, 0, 0)}
(5) 1-PS = (1, -2/7, -5/7) yields a state with 48 characters
Maximal unstable state={(8, 0, 5), (7, 3, 3), (7, 2, 4), (5, 6, 2), (8, 1, 4), (12, 1, 0), (4, 9, 0), (4, 8, 1), (6, 5, 2), (5, 7, 1), (6, 4, 3), (3, 10, 0), (8, 2, 3), (7, 0, 6), (11, 2, 0), (11, 1, 1), (6, 2, 5), (7, 1, 5), (5, 5, 3), (5, 4, 4), (10, 3, 0), (4, 7, 2), (4, 6, 3), (11, 0, 2), (6, 1, 6), (9, 3, 1), (10, 2, 1), (5, 3, 5), (12, 0, 1), (8, 5, 0), (9, 4, 0), (6, 3, 4), (10, 0, 3), (8, 3, 2), (9, 2, 2), (9, 1, 3), (7, 5, 1), (8, 4, 1), (6, 7, 0), (7, 6, 0), (9, 0, 4), (7, 4, 2), (10, 1, 2), (6, 6, 1), (5, 8, 0), (13, 0, 0), (6, 0, 7), (5, 2, 6)}
(6) 1-PS = (1, -2/13, -11/13) yields a state with 50 characters
Maximal unstable state={(8, 0, 5), (7, 3, 3), (7, 2, 4), (5, 6, 2), (8, 1, 4), (12, 1, 0), (4, 9, 0), (4, 8, 1), (6, 5, 2), (5, 7, 1), (6, 4, 3), (3, 10, 0), (8, 2, 3), (7, 0, 6), (11, 2, 0), (11, 1, 1), (6, 2, 5), (7, 1, 5), (5, 5, 3), (5, 4, 4), (3, 8, 2), (10, 3, 0), (4, 7, 2), (4, 6, 3), (2, 11, 0), (3, 9, 1), (11, 0, 2), (6, 1, 6), (9, 3, 1), (10, 2, 1), (5, 3, 5), (12, 0, 1), (8, 5, 0), (9, 4, 0), (6, 3, 4), (10, 0, 3), (8, 3, 2), (9, 2, 2), (9, 1, 3), (7, 5, 1), (8, 4, 1), (6, 7, 0), (7, 6, 0), (9, 0, 4), (7, 4, 2), (10, 1, 2), (6, 6, 1), (5, 8, 0), (13, 0, 0), (6, 0, 7)}
(7) 1-PS = (1, 1/7, -8/7) yields a state with 56 characters
Maximal unstable state={(8, 0, 5), (0, 12, 1), (1, 10, 2), (7, 2, 4), (5, 6, 2), (8, 1, 4), (7, 3, 3), (4, 9, 0), (4, 8, 1), (12, 1, 0), (5, 7, 1), (6, 5, 2), (3, 10, 0), (6, 4, 3), (8, 2, 3), (7, 0, 6), (11, 2, 0), (11, 1, 1), (6, 2, 5), (7, 1, 5), (5, 5, 3), (5, 4, 4), (3, 8, 2), (10, 3, 0), (4, 7, 2), (2, 11, 0), (2, 10, 1), (4, 6, 3), (3, 9, 1), (1, 12, 0), (11, 0, 2), (9, 3, 1), (10, 2, 1), (12, 0, 1), (8, 5, 0), (9, 4, 0), (4, 5, 4), (2, 9, 2), (6, 3, 4), (3, 7, 3), (1, 11, 1), (10, 0, 3), (0, 13, 0), (8, 3, 2), (9, 2, 2), (9, 1, 3), (7, 5, 1), (8, 4, 1), (6, 7, 0), (7, 6, 0), (9, 0, 4), (7, 4, 2), (10, 1, 2), (6, 6, 1), (5, 8, 0), (13, 0, 0)}
(8) 1-PS = (1, 5/11, -16/11) yields a state with 58 characters
Maximal unstable state={(8, 0, 5), (0, 12, 1), (1, 10, 2), (7, 2, 4), (5, 6, 2), (8, 1, 4), (7, 3, 3), (4, 9, 0), (4, 8, 1), (12, 1, 0), (5, 7, 1), (6, 5, 2), (3, 10, 0), (6, 4, 3), (8, 2, 3), (11, 2, 0), (11, 1, 1), (7, 1, 5), (5, 5, 3), (5, 4, 4), (3, 8, 2), (10, 3, 0), (4, 7, 2), (4, 6, 3), (2, 11, 0), (2, 10, 1), (3, 9, 1), (1, 12, 0), (11, 0, 2), (9, 3, 1), (10, 2, 1), (12, 0, 1), (8, 5, 0), (9, 4, 0), (4, 5, 4), (2, 9, 2), (6, 3, 4), (3, 7, 3), (1, 11, 1), (10, 0, 3), (0, 13, 0), (8, 3, 2), (9, 2, 2), (9, 1, 3), (7, 5, 1), (8, 4, 1), (6, 7, 0), (7, 6, 0), (0, 11, 2), (1, 9, 3), (9, 0, 4), (7, 4, 2), (10, 1, 2), (6, 6, 1), (5, 8, 0), (0, 10, 3), (13, 0, 0), (2, 8, 3)}
(9) 1-PS = (1, -5/13, -8/13) yields a state with 48 characters
Maximal unstable state={(8, 0, 5), (7, 3, 3), (7, 2, 4), (5, 6, 2), (8, 1, 4), (12, 1, 0), (4, 9, 0), (4, 8, 1), (6, 5, 2), (5, 7, 1), (6, 4, 3), (8, 2, 3), (7, 0, 6), (11, 2, 0), (11, 1, 1), (6, 2, 5), (7, 1, 5), (5, 5, 3), (5, 4, 4), (10, 3, 0), (4, 7, 2), (11, 0, 2), (6, 1, 6), (9, 3, 1), (10, 2, 1), (5, 3, 5), (12, 0, 1), (8, 5, 0), (9, 4, 0), (6, 3, 4), (10, 0, 3), (8, 3, 2), (9, 2, 2), (9, 1, 3), (7, 5, 1), (5, 1, 7), (8, 4, 1), (6, 7, 0), (7, 6, 0), (5, 0, 8), (9, 0, 4), (7, 4, 2), (10, 1, 2), (6, 6, 1), (5, 8, 0), (13, 0, 0), (6, 0, 7), (5, 2, 6)}


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SOLUTION TO GIT PROBLEM: STRICTLY POLYSTABLE LOCI
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Group: A2 RepresentationA2(13,0,0)
Set of strictly polystable states:
(1) A state with 2 characters
Strictly polystable state={(4, 6, 3), (5, 1, 7)}
(2) A state with 2 characters
Strictly polystable state={(1, 9, 3), (6, 2, 5)}
(3) A state with 7 characters
Strictly polystable state={(4, 5, 4), (2, 9, 2), (3, 7, 3), (1, 11, 1), (6, 1, 6), (0, 13, 0), (5, 3, 5)}