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SOLUTION TO GIT PROBLEM: NONSTABLE LOCI
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Group: A2 RepresentationA2(15,0,0)
Set of maximal non-stable states:
(1) 1-PS = (1, -2/7, -5/7) yields a state with 63 characters
Maximal nonstable state={(10, 0, 5), (14, 1, 0), (9, 2, 4), (7, 6, 2), (8, 4, 3), (6, 8, 1), (5, 10, 0), (13, 2, 0), (7, 0, 8), (10, 2, 3), (6, 2, 7), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (12, 3, 0), (7, 5, 3), (7, 4, 4), (6, 7, 2), (6, 6, 3), (4, 10, 1), (5, 9, 1), (5, 8, 2), (4, 11, 0), (13, 0, 2), (8, 1, 6), (8, 0, 7), (11, 4, 0), (11, 3, 1), (7, 3, 5), (5, 7, 3), (5, 6, 4), (7, 2, 6), (12, 2, 1), (4, 9, 2), (14, 0, 1), (10, 5, 0), (6, 5, 4), (9, 3, 3), (8, 3, 4), (11, 2, 2), (6, 3, 6), (11, 1, 3), (9, 5, 1), (7, 1, 7), (5, 5, 5), (12, 0, 3), (10, 4, 1), (10, 3, 2), (12, 1, 2), (8, 7, 0), (6, 4, 5), (9, 6, 0), (15, 0, 0), (10, 1, 4), (11, 0, 4), (6, 1, 8), (9, 4, 2), (7, 7, 1), (8, 6, 1), (8, 5, 2), (6, 9, 0), (7, 8, 0)}
(2) 1-PS = (1, 1, -2) yields a state with 81 characters
Maximal nonstable state={(10, 0, 5), (7, 6, 2), (8, 4, 3), (5, 10, 0), (0, 12, 3), (1, 10, 4), (13, 2, 0), (1, 9, 5), (2, 10, 3), (12, 3, 0), (7, 5, 3), (7, 4, 4), (0, 14, 1), (4, 10, 1), (5, 9, 1), (0, 10, 5), (5, 8, 2), (13, 0, 2), (5, 7, 3), (5, 6, 4), (10, 5, 0), (6, 5, 4), (2, 12, 1), (3, 11, 1), (3, 10, 2), (9, 5, 1), (10, 4, 1), (5, 5, 5), (10, 3, 2), (12, 1, 2), (2, 11, 2), (3, 9, 3), (15, 0, 0), (10, 1, 4), (0, 15, 0), (11, 0, 4), (7, 7, 1), (8, 6, 1), (3, 7, 5), (8, 5, 2), (0, 13, 2), (1, 11, 3), (14, 1, 0), (9, 2, 4), (6, 8, 1), (2, 8, 5), (10, 2, 3), (0, 11, 4), (3, 8, 4), (4, 6, 5), (13, 1, 1), (8, 2, 5), (9, 1, 5), (1, 12, 2), (6, 7, 2), (6, 6, 3), (3, 12, 0), (4, 11, 0), (11, 4, 0), (11, 3, 1), (12, 2, 1), (7, 3, 5), (14, 0, 1), (4, 9, 2), (4, 8, 3), (1, 14, 0), (2, 13, 0), (8, 3, 4), (11, 2, 2), (11, 1, 3), (12, 0, 3), (8, 7, 0), (9, 6, 0), (4, 7, 4), (6, 4, 5), (1, 13, 1), (9, 4, 2), (9, 3, 3), (6, 9, 0), (7, 8, 0), (2, 9, 4)}
(3) 1-PS = (1, 0, -1) yields a state with 72 characters
Maximal nonstable state={(10, 0, 5), (7, 6, 2), (8, 4, 3), (5, 10, 0), (13, 2, 0), (12, 3, 0), (7, 5, 3), (7, 4, 4), (4, 10, 1), (5, 9, 1), (5, 8, 2), (13, 0, 2), (8, 1, 6), (8, 0, 7), (5, 7, 3), (5, 6, 4), (10, 5, 0), (6, 5, 4), (2, 12, 1), (3, 11, 1), (3, 10, 2), (9, 5, 1), (10, 4, 1), (5, 5, 5), (10, 3, 2), (12, 1, 2), (2, 11, 2), (3, 9, 3), (15, 0, 0), (10, 1, 4), (0, 15, 0), (11, 0, 4), (7, 7, 1), (8, 6, 1), (8, 5, 2), (14, 1, 0), (9, 2, 4), (6, 8, 1), (10, 2, 3), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (6, 7, 2), (6, 6, 3), (3, 12, 0), (4, 11, 0), (11, 4, 0), (11, 3, 1), (12, 2, 1), (7, 3, 5), (7, 2, 6), (14, 0, 1), (4, 9, 2), (4, 8, 3), (1, 14, 0), (2, 13, 0), (8, 3, 4), (11, 2, 2), (6, 3, 6), (11, 1, 3), (12, 0, 3), (7, 1, 7), (8, 7, 0), (9, 6, 0), (4, 7, 4), (6, 4, 5), (1, 13, 1), (9, 4, 2), (9, 3, 3), (6, 9, 0), (7, 8, 0)}
(4) 1-PS = (1, -1/8, -7/8) yields a state with 66 characters
Maximal nonstable state={(10, 0, 5), (7, 6, 2), (8, 4, 3), (5, 10, 0), (13, 2, 0), (7, 0, 8), (12, 3, 0), (7, 5, 3), (7, 4, 4), (4, 10, 1), (5, 9, 1), (5, 8, 2), (13, 0, 2), (8, 1, 6), (8, 0, 7), (5, 7, 3), (5, 6, 4), (10, 5, 0), (6, 5, 4), (3, 11, 1), (3, 10, 2), (9, 5, 1), (10, 4, 1), (5, 5, 5), (10, 3, 2), (12, 1, 2), (15, 0, 0), (10, 1, 4), (11, 0, 4), (7, 7, 1), (8, 6, 1), (8, 5, 2), (14, 1, 0), (9, 2, 4), (6, 8, 1), (10, 2, 3), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (6, 7, 2), (6, 6, 3), (3, 12, 0), (4, 11, 0), (11, 4, 0), (11, 3, 1), (12, 2, 1), (7, 3, 5), (7, 2, 6), (14, 0, 1), (4, 9, 2), (4, 8, 3), (2, 13, 0), (8, 3, 4), (11, 2, 2), (6, 3, 6), (11, 1, 3), (12, 0, 3), (7, 1, 7), (8, 7, 0), (9, 6, 0), (6, 4, 5), (9, 4, 2), (9, 3, 3), (6, 9, 0), (7, 8, 0)}
(5) 1-PS = (1, -1/2, -1/2) yields a state with 66 characters
Maximal nonstable state={(10, 0, 5), (6, 0, 9), (7, 6, 2), (8, 4, 3), (5, 10, 0), (13, 2, 0), (7, 0, 8), (5, 1, 9), (5, 4, 6), (5, 0, 10), (12, 3, 0), (7, 5, 3), (7, 4, 4), (5, 9, 1), (5, 8, 2), (13, 0, 2), (8, 1, 6), (8, 0, 7), (5, 7, 3), (5, 6, 4), (10, 5, 0), (6, 5, 4), (9, 5, 1), (10, 4, 1), (5, 5, 5), (10, 3, 2), (12, 1, 2), (15, 0, 0), (10, 1, 4), (11, 0, 4), (6, 1, 8), (7, 7, 1), (8, 6, 1), (8, 5, 2), (14, 1, 0), (9, 2, 4), (5, 2, 8), (6, 8, 1), (10, 2, 3), (6, 2, 7), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (6, 7, 2), (6, 6, 3), (11, 4, 0), (11, 3, 1), (12, 2, 1), (7, 3, 5), (7, 2, 6), (14, 0, 1), (8, 3, 4), (11, 2, 2), (6, 3, 6), (11, 1, 3), (12, 0, 3), (7, 1, 7), (8, 7, 0), (9, 6, 0), (6, 4, 5), (9, 4, 2), (9, 3, 3), (5, 3, 7), (6, 9, 0), (7, 8, 0)}
(6) 1-PS = (1, 1/4, -5/4) yields a state with 75 characters
Maximal nonstable state={(10, 0, 5), (7, 6, 2), (8, 4, 3), (5, 10, 0), (13, 2, 0), (2, 10, 3), (12, 3, 0), (7, 5, 3), (7, 4, 4), (0, 14, 1), (4, 10, 1), (5, 9, 1), (5, 8, 2), (13, 0, 2), (8, 1, 6), (5, 7, 3), (5, 6, 4), (10, 5, 0), (6, 5, 4), (2, 12, 1), (3, 11, 1), (3, 10, 2), (9, 5, 1), (10, 4, 1), (5, 5, 5), (10, 3, 2), (12, 1, 2), (2, 11, 2), (3, 9, 3), (15, 0, 0), (10, 1, 4), (0, 15, 0), (11, 0, 4), (7, 7, 1), (8, 6, 1), (8, 5, 2), (0, 13, 2), (1, 11, 3), (14, 1, 0), (9, 2, 4), (6, 8, 1), (10, 2, 3), (3, 8, 4), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (1, 12, 2), (6, 7, 2), (6, 6, 3), (3, 12, 0), (4, 11, 0), (11, 4, 0), (11, 3, 1), (12, 2, 1), (7, 3, 5), (7, 2, 6), (14, 0, 1), (4, 9, 2), (4, 8, 3), (1, 14, 0), (2, 13, 0), (8, 3, 4), (11, 2, 2), (11, 1, 3), (12, 0, 3), (8, 7, 0), (9, 6, 0), (4, 7, 4), (6, 4, 5), (1, 13, 1), (9, 4, 2), (9, 3, 3), (6, 9, 0), (7, 8, 0)}
(7) 1-PS = (1, 1/2, -3/2) yields a state with 76 characters
Maximal nonstable state={(10, 0, 5), (7, 6, 2), (8, 4, 3), (5, 10, 0), (0, 12, 3), (1, 10, 4), (13, 2, 0), (2, 10, 3), (12, 3, 0), (7, 5, 3), (7, 4, 4), (0, 14, 1), (4, 10, 1), (5, 9, 1), (5, 8, 2), (13, 0, 2), (5, 7, 3), (5, 6, 4), (10, 5, 0), (6, 5, 4), (2, 12, 1), (3, 11, 1), (3, 10, 2), (9, 5, 1), (10, 4, 1), (5, 5, 5), (10, 3, 2), (12, 1, 2), (2, 11, 2), (3, 9, 3), (15, 0, 0), (10, 1, 4), (0, 15, 0), (11, 0, 4), (7, 7, 1), (8, 6, 1), (8, 5, 2), (0, 13, 2), (1, 11, 3), (14, 1, 0), (9, 2, 4), (6, 8, 1), (10, 2, 3), (3, 8, 4), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (1, 12, 2), (6, 7, 2), (6, 6, 3), (3, 12, 0), (4, 11, 0), (11, 4, 0), (11, 3, 1), (12, 2, 1), (7, 3, 5), (14, 0, 1), (4, 9, 2), (4, 8, 3), (1, 14, 0), (2, 13, 0), (8, 3, 4), (11, 2, 2), (11, 1, 3), (12, 0, 3), (8, 7, 0), (9, 6, 0), (4, 7, 4), (6, 4, 5), (1, 13, 1), (9, 4, 2), (9, 3, 3), (6, 9, 0), (7, 8, 0), (2, 9, 4)}
(8) 1-PS = (1, -1/3, -2/3) yields a state with 63 characters
Maximal nonstable state={(10, 0, 5), (6, 0, 9), (14, 1, 0), (9, 2, 4), (7, 6, 2), (8, 4, 3), (6, 8, 1), (5, 10, 0), (13, 2, 0), (7, 0, 8), (10, 2, 3), (6, 2, 7), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (12, 3, 0), (7, 5, 3), (7, 4, 4), (6, 7, 2), (6, 6, 3), (4, 10, 1), (5, 9, 1), (5, 8, 2), (4, 11, 0), (13, 0, 2), (8, 1, 6), (8, 0, 7), (11, 4, 0), (11, 3, 1), (7, 3, 5), (5, 7, 3), (5, 6, 4), (7, 2, 6), (12, 2, 1), (14, 0, 1), (10, 5, 0), (6, 5, 4), (9, 3, 3), (8, 3, 4), (11, 2, 2), (6, 3, 6), (11, 1, 3), (9, 5, 1), (7, 1, 7), (5, 5, 5), (12, 0, 3), (10, 4, 1), (10, 3, 2), (12, 1, 2), (8, 7, 0), (6, 4, 5), (9, 6, 0), (15, 0, 0), (10, 1, 4), (11, 0, 4), (6, 1, 8), (9, 4, 2), (7, 7, 1), (8, 6, 1), (8, 5, 2), (6, 9, 0), (7, 8, 0)}
(9) 1-PS = (1, 2/5, -7/5) yields a state with 76 characters
Maximal nonstable state={(10, 0, 5), (7, 6, 2), (8, 4, 3), (5, 10, 0), (0, 12, 3), (13, 2, 0), (2, 10, 3), (12, 3, 0), (7, 5, 3), (7, 4, 4), (0, 14, 1), (4, 10, 1), (5, 9, 1), (5, 8, 2), (13, 0, 2), (8, 1, 6), (5, 7, 3), (5, 6, 4), (10, 5, 0), (6, 5, 4), (2, 12, 1), (3, 11, 1), (3, 10, 2), (9, 5, 1), (10, 4, 1), (5, 5, 5), (10, 3, 2), (12, 1, 2), (2, 11, 2), (3, 9, 3), (15, 0, 0), (10, 1, 4), (0, 15, 0), (11, 0, 4), (7, 7, 1), (8, 6, 1), (8, 5, 2), (0, 13, 2), (1, 11, 3), (14, 1, 0), (9, 2, 4), (6, 8, 1), (10, 2, 3), (3, 8, 4), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (1, 12, 2), (6, 7, 2), (6, 6, 3), (3, 12, 0), (4, 11, 0), (11, 4, 0), (11, 3, 1), (12, 2, 1), (7, 3, 5), (14, 0, 1), (4, 9, 2), (4, 8, 3), (1, 14, 0), (2, 13, 0), (8, 3, 4), (11, 2, 2), (11, 1, 3), (12, 0, 3), (8, 7, 0), (9, 6, 0), (4, 7, 4), (6, 4, 5), (1, 13, 1), (9, 4, 2), (9, 3, 3), (6, 9, 0), (7, 8, 0), (2, 9, 4)}
(10) 1-PS = (1, -1/5, -4/5) yields a state with 65 characters
Maximal nonstable state={(10, 0, 5), (7, 6, 2), (8, 4, 3), (5, 10, 0), (13, 2, 0), (7, 0, 8), (12, 3, 0), (7, 5, 3), (7, 4, 4), (4, 10, 1), (5, 9, 1), (5, 8, 2), (13, 0, 2), (8, 1, 6), (8, 0, 7), (5, 7, 3), (5, 6, 4), (10, 5, 0), (6, 5, 4), (3, 11, 1), (9, 5, 1), (10, 4, 1), (5, 5, 5), (10, 3, 2), (12, 1, 2), (15, 0, 0), (10, 1, 4), (11, 0, 4), (7, 7, 1), (8, 6, 1), (8, 5, 2), (14, 1, 0), (9, 2, 4), (6, 8, 1), (10, 2, 3), (6, 2, 7), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (6, 7, 2), (6, 6, 3), (3, 12, 0), (4, 11, 0), (11, 4, 0), (11, 3, 1), (12, 2, 1), (7, 3, 5), (7, 2, 6), (14, 0, 1), (4, 9, 2), (4, 8, 3), (8, 3, 4), (11, 2, 2), (6, 3, 6), (11, 1, 3), (12, 0, 3), (7, 1, 7), (8, 7, 0), (9, 6, 0), (6, 4, 5), (9, 4, 2), (9, 3, 3), (6, 9, 0), (7, 8, 0)}
(11) 1-PS = (1, 1/7, -8/7) yields a state with 73 characters
Maximal nonstable state={(10, 0, 5), (7, 6, 2), (8, 4, 3), (5, 10, 0), (13, 2, 0), (2, 10, 3), (12, 3, 0), (7, 5, 3), (7, 4, 4), (0, 14, 1), (4, 10, 1), (5, 9, 1), (5, 8, 2), (13, 0, 2), (8, 1, 6), (8, 0, 7), (5, 7, 3), (5, 6, 4), (10, 5, 0), (6, 5, 4), (2, 12, 1), (3, 11, 1), (3, 10, 2), (9, 5, 1), (10, 4, 1), (5, 5, 5), (10, 3, 2), (12, 1, 2), (2, 11, 2), (3, 9, 3), (15, 0, 0), (10, 1, 4), (0, 15, 0), (11, 0, 4), (7, 7, 1), (8, 6, 1), (8, 5, 2), (14, 1, 0), (9, 2, 4), (6, 8, 1), (10, 2, 3), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (1, 12, 2), (6, 7, 2), (6, 6, 3), (3, 12, 0), (4, 11, 0), (11, 4, 0), (11, 3, 1), (12, 2, 1), (7, 3, 5), (7, 2, 6), (14, 0, 1), (4, 9, 2), (4, 8, 3), (1, 14, 0), (2, 13, 0), (8, 3, 4), (11, 2, 2), (11, 1, 3), (12, 0, 3), (8, 7, 0), (9, 6, 0), (4, 7, 4), (6, 4, 5), (1, 13, 1), (9, 4, 2), (9, 3, 3), (6, 9, 0), (7, 8, 0)}


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SOLUTION TO GIT PROBLEM: UNSTABLE LOCI
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Group: A2 RepresentationA2(15,0,0)
Set of maximal unstable states:
(1) 1-PS = (1, 7/10, -17/10) yields a state with 75 characters
Maximal unstable state={(10, 0, 5), (7, 6, 2), (8, 4, 3), (5, 10, 0), (0, 12, 3), (1, 10, 4), (13, 2, 0), (2, 10, 3), (12, 3, 0), (7, 4, 4), (7, 5, 3), (0, 14, 1), (4, 10, 1), (5, 9, 1), (5, 8, 2), (13, 0, 2), (5, 7, 3), (5, 6, 4), (10, 5, 0), (6, 5, 4), (2, 12, 1), (3, 11, 1), (3, 10, 2), (9, 5, 1), (10, 4, 1), (10, 3, 2), (12, 1, 2), (2, 11, 2), (3, 9, 3), (15, 0, 0), (10, 1, 4), (0, 15, 0), (11, 0, 4), (7, 7, 1), (8, 6, 1), (8, 5, 2), (0, 13, 2), (1, 11, 3), (14, 1, 0), (9, 2, 4), (6, 8, 1), (10, 2, 3), (0, 11, 4), (3, 8, 4), (13, 1, 1), (8, 2, 5), (9, 1, 5), (1, 12, 2), (6, 7, 2), (6, 6, 3), (3, 12, 0), (4, 11, 0), (11, 4, 0), (11, 3, 1), (12, 2, 1), (7, 3, 5), (14, 0, 1), (4, 9, 2), (4, 8, 3), (1, 14, 0), (2, 13, 0), (8, 3, 4), (11, 2, 2), (11, 1, 3), (12, 0, 3), (8, 7, 0), (9, 6, 0), (4, 7, 4), (6, 4, 5), (1, 13, 1), (9, 4, 2), (9, 3, 3), (6, 9, 0), (7, 8, 0), (2, 9, 4)}
(2) 1-PS = (1, 2/17, -19/17) yields a state with 71 characters
Maximal unstable state={(10, 0, 5), (7, 6, 2), (8, 4, 3), (5, 10, 0), (13, 2, 0), (7, 5, 3), (7, 4, 4), (12, 3, 0), (0, 14, 1), (4, 10, 1), (5, 9, 1), (5, 8, 2), (13, 0, 2), (8, 1, 6), (8, 0, 7), (5, 7, 3), (5, 6, 4), (10, 5, 0), (6, 5, 4), (2, 12, 1), (3, 11, 1), (3, 10, 2), (9, 5, 1), (10, 4, 1), (10, 3, 2), (12, 1, 2), (2, 11, 2), (3, 9, 3), (15, 0, 0), (10, 1, 4), (0, 15, 0), (11, 0, 4), (7, 7, 1), (8, 6, 1), (8, 5, 2), (14, 1, 0), (9, 2, 4), (6, 8, 1), (10, 2, 3), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (1, 12, 2), (6, 7, 2), (6, 6, 3), (3, 12, 0), (4, 11, 0), (11, 4, 0), (11, 3, 1), (12, 2, 1), (7, 3, 5), (7, 2, 6), (14, 0, 1), (4, 9, 2), (4, 8, 3), (1, 14, 0), (2, 13, 0), (8, 3, 4), (11, 2, 2), (11, 1, 3), (12, 0, 3), (8, 7, 0), (9, 6, 0), (4, 7, 4), (6, 4, 5), (1, 13, 1), (9, 4, 2), (9, 3, 3), (6, 9, 0), (7, 8, 0)}
(3) 1-PS = (1, 1/5, -6/5) yields a state with 72 characters
Maximal unstable state={(10, 0, 5), (7, 6, 2), (8, 4, 3), (5, 10, 0), (13, 2, 0), (2, 10, 3), (7, 5, 3), (7, 4, 4), (12, 3, 0), (0, 14, 1), (4, 10, 1), (5, 9, 1), (5, 8, 2), (13, 0, 2), (8, 1, 6), (5, 7, 3), (5, 6, 4), (10, 5, 0), (6, 5, 4), (2, 12, 1), (3, 11, 1), (3, 10, 2), (9, 5, 1), (10, 4, 1), (10, 3, 2), (12, 1, 2), (2, 11, 2), (3, 9, 3), (15, 0, 0), (10, 1, 4), (0, 15, 0), (11, 0, 4), (7, 7, 1), (8, 6, 1), (8, 5, 2), (0, 13, 2), (14, 1, 0), (9, 2, 4), (6, 8, 1), (10, 2, 3), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (1, 12, 2), (6, 7, 2), (6, 6, 3), (3, 12, 0), (4, 11, 0), (11, 4, 0), (11, 3, 1), (12, 2, 1), (7, 3, 5), (7, 2, 6), (14, 0, 1), (4, 9, 2), (4, 8, 3), (1, 14, 0), (2, 13, 0), (8, 3, 4), (11, 2, 2), (11, 1, 3), (12, 0, 3), (8, 7, 0), (9, 6, 0), (4, 7, 4), (6, 4, 5), (1, 13, 1), (9, 4, 2), (9, 3, 3), (6, 9, 0), (7, 8, 0)}
(4) 1-PS = (1, -5/16, -11/16) yields a state with 61 characters
Maximal unstable state={(11, 3, 1), (10, 0, 5), (14, 1, 0), (9, 2, 4), (7, 6, 2), (8, 4, 3), (6, 8, 1), (5, 10, 0), (13, 2, 0), (7, 0, 8), (10, 2, 3), (6, 2, 7), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (7, 4, 4), (12, 3, 0), (7, 5, 3), (6, 7, 2), (6, 6, 3), (4, 10, 1), (5, 9, 1), (5, 8, 2), (4, 11, 0), (13, 0, 2), (8, 1, 6), (8, 0, 7), (11, 4, 0), (12, 2, 1), (7, 3, 5), (5, 7, 3), (5, 6, 4), (7, 2, 6), (6, 5, 4), (14, 0, 1), (10, 5, 0), (9, 3, 3), (8, 3, 4), (11, 2, 2), (6, 3, 6), (11, 1, 3), (9, 5, 1), (7, 1, 7), (12, 0, 3), (10, 4, 1), (10, 3, 2), (12, 1, 2), (8, 7, 0), (9, 6, 0), (6, 4, 5), (15, 0, 0), (10, 1, 4), (11, 0, 4), (6, 1, 8), (9, 4, 2), (7, 7, 1), (8, 6, 1), (8, 5, 2), (6, 9, 0), (7, 8, 0)}
(5) 1-PS = (1, 5/14, -19/14) yields a state with 74 characters
Maximal unstable state={(10, 0, 5), (7, 6, 2), (8, 4, 3), (5, 10, 0), (0, 12, 3), (13, 2, 0), (2, 10, 3), (7, 5, 3), (7, 4, 4), (12, 3, 0), (0, 14, 1), (4, 10, 1), (5, 9, 1), (5, 8, 2), (13, 0, 2), (8, 1, 6), (5, 7, 3), (5, 6, 4), (10, 5, 0), (6, 5, 4), (2, 12, 1), (3, 11, 1), (3, 10, 2), (9, 5, 1), (10, 4, 1), (10, 3, 2), (12, 1, 2), (2, 11, 2), (3, 9, 3), (15, 0, 0), (10, 1, 4), (0, 15, 0), (11, 0, 4), (7, 7, 1), (8, 6, 1), (8, 5, 2), (0, 13, 2), (1, 11, 3), (14, 1, 0), (9, 2, 4), (6, 8, 1), (10, 2, 3), (3, 8, 4), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (1, 12, 2), (6, 7, 2), (6, 6, 3), (3, 12, 0), (4, 11, 0), (11, 4, 0), (11, 3, 1), (12, 2, 1), (7, 3, 5), (14, 0, 1), (4, 9, 2), (4, 8, 3), (1, 14, 0), (2, 13, 0), (8, 3, 4), (11, 2, 2), (11, 1, 3), (12, 0, 3), (8, 7, 0), (9, 6, 0), (4, 7, 4), (6, 4, 5), (1, 13, 1), (9, 4, 2), (9, 3, 3), (6, 9, 0), (7, 8, 0)}
(6) 1-PS = (1, -7/20, -13/20) yields a state with 61 characters
Maximal unstable state={(11, 3, 1), (10, 0, 5), (6, 0, 9), (9, 2, 4), (14, 1, 0), (7, 6, 2), (8, 4, 3), (6, 8, 1), (5, 10, 0), (13, 2, 0), (7, 0, 8), (10, 2, 3), (6, 2, 7), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (7, 4, 4), (12, 3, 0), (7, 5, 3), (6, 7, 2), (6, 6, 3), (5, 9, 1), (5, 8, 2), (4, 11, 0), (13, 0, 2), (8, 1, 6), (8, 0, 7), (11, 4, 0), (12, 2, 1), (7, 3, 5), (5, 7, 3), (5, 6, 4), (7, 2, 6), (6, 5, 4), (14, 0, 1), (10, 5, 0), (9, 3, 3), (8, 3, 4), (11, 2, 2), (6, 3, 6), (11, 1, 3), (9, 5, 1), (7, 1, 7), (12, 0, 3), (10, 4, 1), (10, 3, 2), (12, 1, 2), (8, 7, 0), (9, 6, 0), (6, 4, 5), (15, 0, 0), (10, 1, 4), (11, 0, 4), (6, 1, 8), (9, 4, 2), (7, 7, 1), (8, 6, 1), (8, 5, 2), (6, 9, 0), (7, 8, 0)}
(7) 1-PS = (1, -4/17, -13/17) yields a state with 62 characters
Maximal unstable state={(11, 3, 1), (10, 0, 5), (14, 1, 0), (9, 2, 4), (7, 6, 2), (8, 4, 3), (6, 8, 1), (5, 10, 0), (13, 2, 0), (7, 0, 8), (10, 2, 3), (6, 2, 7), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (7, 4, 4), (12, 3, 0), (7, 5, 3), (6, 7, 2), (6, 6, 3), (4, 10, 1), (5, 9, 1), (5, 8, 2), (3, 12, 0), (4, 11, 0), (13, 0, 2), (8, 1, 6), (8, 0, 7), (11, 4, 0), (12, 2, 1), (7, 3, 5), (5, 7, 3), (5, 6, 4), (7, 2, 6), (6, 5, 4), (4, 9, 2), (14, 0, 1), (10, 5, 0), (8, 3, 4), (11, 2, 2), (6, 3, 6), (11, 1, 3), (9, 5, 1), (7, 1, 7), (12, 0, 3), (10, 4, 1), (10, 3, 2), (12, 1, 2), (8, 7, 0), (9, 6, 0), (6, 4, 5), (15, 0, 0), (10, 1, 4), (11, 0, 4), (9, 4, 2), (9, 3, 3), (7, 7, 1), (8, 6, 1), (8, 5, 2), (6, 9, 0), (7, 8, 0)}
(8) 1-PS = (1, -1/17, -16/17) yields a state with 66 characters
Maximal unstable state={(10, 0, 5), (7, 6, 2), (8, 4, 3), (5, 10, 0), (13, 2, 0), (12, 3, 0), (7, 4, 4), (7, 5, 3), (4, 10, 1), (5, 9, 1), (5, 8, 2), (13, 0, 2), (8, 1, 6), (8, 0, 7), (5, 7, 3), (5, 6, 4), (10, 5, 0), (6, 5, 4), (2, 12, 1), (3, 11, 1), (3, 10, 2), (9, 5, 1), (10, 4, 1), (10, 3, 2), (12, 1, 2), (15, 0, 0), (10, 1, 4), (11, 0, 4), (7, 7, 1), (8, 6, 1), (8, 5, 2), (14, 1, 0), (9, 2, 4), (6, 8, 1), (10, 2, 3), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (6, 7, 2), (6, 6, 3), (3, 12, 0), (4, 11, 0), (11, 4, 0), (11, 3, 1), (12, 2, 1), (7, 3, 5), (7, 2, 6), (14, 0, 1), (4, 9, 2), (4, 8, 3), (1, 14, 0), (2, 13, 0), (8, 3, 4), (11, 2, 2), (6, 3, 6), (11, 1, 3), (12, 0, 3), (7, 1, 7), (8, 7, 0), (9, 6, 0), (6, 4, 5), (9, 4, 2), (9, 3, 3), (6, 9, 0), (7, 8, 0)}
(9) 1-PS = (1, -1/7, -6/7) yields a state with 64 characters
Maximal unstable state={(10, 0, 5), (7, 6, 2), (8, 4, 3), (5, 10, 0), (13, 2, 0), (7, 0, 8), (12, 3, 0), (7, 4, 4), (7, 5, 3), (4, 10, 1), (5, 9, 1), (5, 8, 2), (13, 0, 2), (8, 1, 6), (8, 0, 7), (5, 7, 3), (5, 6, 4), (10, 5, 0), (6, 5, 4), (3, 11, 1), (9, 5, 1), (10, 4, 1), (10, 3, 2), (12, 1, 2), (15, 0, 0), (10, 1, 4), (11, 0, 4), (7, 7, 1), (8, 6, 1), (8, 5, 2), (14, 1, 0), (9, 2, 4), (6, 8, 1), (10, 2, 3), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (6, 7, 2), (6, 6, 3), (3, 12, 0), (4, 11, 0), (11, 4, 0), (11, 3, 1), (12, 2, 1), (7, 3, 5), (7, 2, 6), (14, 0, 1), (4, 9, 2), (4, 8, 3), (2, 13, 0), (8, 3, 4), (11, 2, 2), (6, 3, 6), (11, 1, 3), (12, 0, 3), (7, 1, 7), (8, 7, 0), (9, 6, 0), (6, 4, 5), (9, 4, 2), (9, 3, 3), (6, 9, 0), (7, 8, 0)}
(10) 1-PS = (1, 5/11, -16/11) yields a state with 74 characters
Maximal unstable state={(10, 0, 5), (7, 6, 2), (8, 4, 3), (5, 10, 0), (0, 12, 3), (13, 2, 0), (2, 10, 3), (7, 5, 3), (7, 4, 4), (12, 3, 0), (0, 14, 1), (4, 10, 1), (5, 9, 1), (5, 8, 2), (13, 0, 2), (5, 7, 3), (5, 6, 4), (10, 5, 0), (6, 5, 4), (2, 12, 1), (3, 11, 1), (3, 10, 2), (9, 5, 1), (10, 4, 1), (10, 3, 2), (12, 1, 2), (2, 11, 2), (3, 9, 3), (15, 0, 0), (10, 1, 4), (0, 15, 0), (11, 0, 4), (7, 7, 1), (8, 6, 1), (8, 5, 2), (0, 13, 2), (1, 11, 3), (14, 1, 0), (9, 2, 4), (6, 8, 1), (10, 2, 3), (3, 8, 4), (13, 1, 1), (8, 2, 5), (9, 1, 5), (9, 0, 6), (1, 12, 2), (6, 7, 2), (6, 6, 3), (3, 12, 0), (4, 11, 0), (11, 4, 0), (11, 3, 1), (12, 2, 1), (7, 3, 5), (14, 0, 1), (4, 9, 2), (4, 8, 3), (1, 14, 0), (2, 13, 0), (8, 3, 4), (11, 2, 2), (11, 1, 3), (12, 0, 3), (8, 7, 0), (9, 6, 0), (4, 7, 4), (6, 4, 5), (1, 13, 1), (9, 4, 2), (9, 3, 3), (6, 9, 0), (7, 8, 0), (2, 9, 4)}


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SOLUTION TO GIT PROBLEM: STRICTLY POLYSTABLE LOCI
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Group: A2 RepresentationA2(15,0,0)
Set of strictly polystable states:
(1) A state with 3 characters
Strictly polystable state={(5, 5, 5), (8, 1, 6), (2, 9, 4)}
(2) A state with 1 characters
Strictly polystable state={(5, 5, 5)}
(3) A state with 11 characters
Strictly polystable state={(1, 9, 5), (7, 3, 5), (10, 0, 5), (5, 5, 5), (4, 6, 5), (8, 2, 5), (9, 1, 5), (6, 4, 5), (2, 8, 5), (0, 10, 5), (3, 7, 5)}
(4) A state with 4 characters
Strictly polystable state={(5, 5, 5), (6, 2, 7), (3, 11, 1), (4, 8, 3)}
(5) A state with 8 characters
Strictly polystable state={(6, 3, 6), (7, 1, 7), (5, 5, 5), (4, 7, 4), (2, 11, 2), (3, 9, 3), (1, 13, 1), (0, 15, 0)}
(6) A state with 3 characters
Strictly polystable state={(1, 10, 4), (9, 0, 6), (5, 5, 5)}
(7) A state with 3 characters
Strictly polystable state={(2, 10, 3), (8, 0, 7), (5, 5, 5)}