***************************************
SOLUTION TO GIT PROBLEM: NONSTABLE LOCI
***************************************
Group: A3 RepresentationA3(6,0,0,0)
Set of maximal non-stable states:
(1) 1-PS = (1, -1/5, -1/5, -3/5) yields a state with 40 characters
Maximal nonstable state={(2, 1, 1, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (3, 0, 1, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (2, 0, 2, 2), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (4, 1, 1, 0), (2, 1, 0, 3), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (2, 0, 3, 1), (2, 0, 1, 3), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (1, 1, 4, 0), (4, 1, 0, 1), (3, 0, 0, 3), (1, 0, 5, 0)}
(2) 1-PS = (1, 1/4, -1/2, -3/4) yields a state with 42 characters
Maximal nonstable state={(2, 1, 1, 2), (1, 3, 0, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (3, 0, 1, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (4, 1, 1, 0), (0, 6, 0, 0), (2, 1, 0, 3), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 4, 0, 1), (0, 5, 0, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 4, 2, 0), (0, 5, 1, 0), (4, 1, 0, 1), (3, 0, 0, 3)}
(3) 1-PS = (1, 1/3, -1/3, -1) yields a state with 46 characters
Maximal nonstable state={(2, 1, 1, 2), (1, 3, 0, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (3, 0, 1, 2), (0, 3, 3, 0), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 2, 2, 1), (1, 4, 0, 1), (0, 5, 0, 1), (2, 0, 3, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 4, 2, 0), (1, 1, 4, 0), (0, 5, 1, 0), (4, 1, 0, 1), (3, 0, 0, 3)}
(4) 1-PS = (1, 1/3, 1/3, -5/3) yields a state with 52 characters
Maximal nonstable state={(6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (0, 3, 3, 0), (3, 0, 1, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (0, 2, 4, 0), (1, 5, 0, 0), (1, 0, 4, 1), (0, 0, 5, 1), (2, 0, 4, 0), (0, 1, 5, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (0, 3, 2, 1), (0, 0, 6, 0), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 2, 2, 1), (1, 4, 0, 1), (0, 2, 3, 1), (0, 5, 0, 1), (2, 0, 3, 1), (1, 2, 3, 0), (5, 0, 0, 1), (0, 1, 4, 1), (3, 3, 0, 0), (2, 4, 0, 0), (1, 1, 3, 1), (2, 3, 1, 0), (0, 4, 2, 0), (1, 1, 4, 0), (0, 5, 1, 0), (4, 1, 0, 1), (1, 0, 5, 0)}
(5) 1-PS = (1, 3/5, -1/5, -7/5) yields a state with 47 characters
Maximal nonstable state={(1, 3, 0, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (0, 3, 3, 0), (3, 0, 1, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (0, 2, 4, 0), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (0, 3, 2, 1), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 2, 2, 1), (1, 4, 0, 1), (0, 5, 0, 1), (2, 0, 3, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 4, 2, 0), (1, 1, 4, 0), (0, 5, 1, 0), (4, 1, 0, 1), (1, 0, 5, 0)}
(6) 1-PS = (1, 0, 0, -1) yields a state with 50 characters
Maximal nonstable state={(2, 1, 1, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (0, 3, 3, 0), (3, 0, 1, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (0, 2, 4, 0), (2, 0, 2, 2), (1, 5, 0, 0), (1, 0, 4, 1), (2, 0, 4, 0), (0, 1, 5, 0), (4, 2, 0, 0), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (0, 0, 6, 0), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 2, 2, 1), (1, 4, 0, 1), (2, 0, 3, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (1, 1, 3, 1), (2, 3, 1, 0), (0, 4, 2, 0), (1, 1, 4, 0), (0, 5, 1, 0), (4, 1, 0, 1), (3, 0, 0, 3), (1, 0, 5, 0)}
(7) 1-PS = (1, 0, -1/2, -1/2) yields a state with 42 characters
Maximal nonstable state={(2, 1, 1, 2), (1, 3, 0, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (3, 0, 1, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (2, 0, 2, 2), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (4, 1, 1, 0), (0, 6, 0, 0), (2, 1, 0, 3), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 4, 0, 1), (2, 0, 3, 1), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (2, 0, 0, 4), (4, 1, 0, 1), (3, 0, 0, 3), (2, 0, 1, 3)}
(8) 1-PS = (1, 1/2, -1/2, -1) yields a state with 45 characters
Maximal nonstable state={(2, 1, 1, 2), (1, 3, 0, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (3, 0, 1, 2), (0, 3, 3, 0), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (0, 4, 0, 2), (1, 3, 1, 1), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 2, 2, 1), (1, 4, 0, 1), (0, 5, 0, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 4, 2, 0), (0, 5, 1, 0), (4, 1, 0, 1), (3, 0, 0, 3)}
(9) 1-PS = (1, 0, -1/3, -2/3) yields a state with 40 characters
Maximal nonstable state={(2, 1, 1, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (3, 0, 1, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (2, 0, 2, 2), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (4, 1, 1, 0), (0, 6, 0, 0), (2, 1, 0, 3), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 4, 0, 1), (2, 0, 3, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (4, 1, 0, 1), (3, 0, 0, 3)}
(10) 1-PS = (1, 1/2, 0, -3/2) yields a state with 49 characters
Maximal nonstable state={(6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (0, 3, 3, 0), (3, 0, 1, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (0, 2, 4, 0), (1, 5, 0, 0), (2, 0, 4, 0), (0, 1, 5, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (0, 3, 2, 1), (0, 0, 6, 0), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 2, 2, 1), (1, 4, 0, 1), (0, 5, 0, 1), (2, 0, 3, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (1, 1, 3, 1), (2, 3, 1, 0), (0, 4, 2, 0), (1, 1, 4, 0), (0, 5, 1, 0), (4, 1, 0, 1), (1, 0, 5, 0)}
(11) 1-PS = (1, 1, -1, -1) yields a state with 50 characters
Maximal nonstable state={(2, 1, 1, 2), (1, 3, 0, 2), (0, 3, 1, 2), (6, 0, 0, 0), (2, 2, 2, 0), (0, 3, 0, 3), (2, 1, 3, 0), (3, 1, 0, 2), (3, 0, 1, 2), (0, 3, 3, 0), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (1, 5, 0, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (0, 4, 0, 2), (1, 2, 1, 2), (1, 3, 1, 1), (0, 3, 2, 1), (4, 1, 1, 0), (0, 6, 0, 0), (2, 1, 0, 3), (1, 2, 0, 3), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 2, 2, 1), (1, 4, 0, 1), (0, 5, 0, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 4, 2, 0), (0, 5, 1, 0), (4, 1, 0, 1), (3, 0, 0, 3)}
(12) 1-PS = (1, 1, 0, -2) yields a state with 51 characters
Maximal nonstable state={(1, 3, 0, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (0, 3, 3, 0), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (0, 2, 4, 0), (1, 5, 0, 0), (2, 0, 4, 0), (0, 1, 5, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (0, 4, 0, 2), (1, 3, 1, 1), (0, 3, 2, 1), (0, 0, 6, 0), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 2, 2, 1), (1, 4, 0, 1), (0, 2, 3, 1), (0, 5, 0, 1), (2, 0, 3, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (1, 1, 3, 1), (2, 3, 1, 0), (0, 4, 2, 0), (1, 1, 4, 0), (0, 5, 1, 0), (4, 1, 0, 1), (1, 0, 5, 0)}
(13) 1-PS = (1, 1/7, -3/7, -5/7) yields a state with 42 characters
Maximal nonstable state={(2, 1, 1, 2), (1, 3, 0, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (3, 0, 1, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (4, 1, 1, 0), (0, 6, 0, 0), (2, 1, 0, 3), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 4, 0, 1), (0, 5, 0, 1), (2, 0, 3, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 5, 1, 0), (4, 1, 0, 1), (3, 0, 0, 3)}
(14) 1-PS = (1, 2/3, -1/3, -4/3) yields a state with 46 characters
Maximal nonstable state={(1, 3, 0, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (0, 3, 3, 0), (3, 0, 1, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (0, 2, 4, 0), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (0, 4, 0, 2), (1, 3, 1, 1), (0, 3, 2, 1), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 2, 2, 1), (1, 4, 0, 1), (0, 5, 0, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 4, 2, 0), (1, 1, 4, 0), (0, 5, 1, 0), (4, 1, 0, 1)}
(15) 1-PS = (1, 1/5, -1/5, -1) yields a state with 45 characters
Maximal nonstable state={(2, 1, 1, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (0, 3, 3, 0), (3, 0, 1, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 2, 2, 1), (1, 4, 0, 1), (0, 5, 0, 1), (2, 0, 3, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 4, 2, 0), (1, 1, 4, 0), (0, 5, 1, 0), (4, 1, 0, 1), (3, 0, 0, 3), (1, 0, 5, 0)}


**************************************
SOLUTION TO GIT PROBLEM: UNSTABLE LOCI
**************************************
Group: A3 RepresentationA3(6,0,0,0)
Set of maximal unstable states:
(1) 1-PS = (1, 11/19, -13/19, -17/19) yields a state with 42 characters
Maximal unstable state={(2, 1, 1, 2), (1, 3, 0, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (3, 0, 1, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (1, 5, 0, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (0, 4, 0, 2), (1, 3, 1, 1), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 4, 0, 1), (0, 5, 0, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 4, 2, 0), (0, 5, 1, 0), (4, 1, 0, 1), (3, 0, 0, 3)}
(2) 1-PS = (1, -1/31, -5/31, -25/31) yields a state with 39 characters
Maximal unstable state={(2, 1, 1, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 0, 1, 2), (3, 1, 0, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (2, 0, 2, 2), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (4, 1, 1, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 4, 0, 1), (2, 0, 3, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (1, 1, 4, 0), (4, 1, 0, 1), (3, 0, 0, 3), (1, 0, 5, 0)}
(3) 1-PS = (1, 5/9, -7/9, -7/9) yields a state with 42 characters
Maximal unstable state={(2, 1, 1, 2), (1, 3, 0, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (3, 0, 1, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (1, 5, 0, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (0, 4, 0, 2), (1, 3, 1, 1), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (2, 1, 0, 3), (4, 0, 2, 0), (3, 2, 0, 1), (1, 4, 0, 1), (0, 5, 0, 1), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 4, 2, 0), (0, 5, 1, 0), (4, 1, 0, 1), (3, 0, 0, 3)}
(4) 1-PS = (1, 7/15, 1/5, -5/3) yields a state with 48 characters
Maximal unstable state={(6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (0, 3, 3, 0), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (0, 2, 4, 0), (1, 5, 0, 0), (1, 0, 4, 1), (2, 0, 4, 0), (0, 1, 5, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (0, 3, 2, 1), (0, 0, 6, 0), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 2, 2, 1), (1, 4, 0, 1), (0, 5, 0, 1), (2, 0, 3, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (1, 1, 3, 1), (2, 3, 1, 0), (0, 4, 2, 0), (1, 1, 4, 0), (0, 5, 1, 0), (4, 1, 0, 1), (1, 0, 5, 0)}
(5) 1-PS = (1, 1/9, -5/27, -25/27) yields a state with 42 characters
Maximal unstable state={(2, 1, 1, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 0, 1, 2), (3, 1, 0, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 4, 0, 1), (2, 0, 3, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 4, 2, 0), (1, 1, 4, 0), (0, 5, 1, 0), (4, 1, 0, 1), (3, 0, 0, 3), (1, 0, 5, 0)}
(6) 1-PS = (1, 7/11, -1/11, -17/11) yields a state with 46 characters
Maximal unstable state={(6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (0, 3, 3, 0), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (0, 2, 4, 0), (1, 5, 0, 0), (2, 0, 4, 0), (0, 1, 5, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (0, 3, 2, 1), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 2, 2, 1), (1, 4, 0, 1), (0, 5, 0, 1), (2, 0, 3, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 4, 2, 0), (1, 1, 4, 0), (0, 5, 1, 0), (4, 1, 0, 1), (1, 0, 5, 0)}
(7) 1-PS = (1, 7/15, -1/15, -7/5) yields a state with 46 characters
Maximal unstable state={(6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 0, 1, 2), (0, 3, 3, 0), (3, 1, 0, 2), (3, 2, 1, 0), (5, 0, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (0, 2, 4, 0), (1, 5, 0, 0), (2, 0, 4, 0), (0, 1, 5, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 2, 2, 1), (1, 4, 0, 1), (0, 5, 0, 1), (2, 0, 3, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 4, 2, 0), (1, 1, 4, 0), (0, 5, 1, 0), (4, 1, 0, 1), (1, 0, 5, 0)}
(8) 1-PS = (1, 7/19, -9/19, -17/19) yields a state with 42 characters
Maximal unstable state={(2, 1, 1, 2), (1, 3, 0, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (3, 0, 1, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 4, 0, 1), (0, 5, 0, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 4, 2, 0), (0, 5, 1, 0), (4, 1, 0, 1), (3, 0, 0, 3)}
(9) 1-PS = (1, 3/19, -9/19, -13/19) yields a state with 40 characters
Maximal unstable state={(2, 1, 1, 2), (1, 3, 0, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (3, 0, 1, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (2, 1, 0, 3), (4, 0, 2, 0), (3, 2, 0, 1), (1, 4, 0, 1), (0, 5, 0, 1), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 5, 1, 0), (4, 1, 0, 1), (3, 0, 0, 3)}
(10) 1-PS = (1, 1/5, -7/25, -23/25) yields a state with 42 characters
Maximal unstable state={(2, 1, 1, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 0, 1, 2), (3, 1, 0, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 4, 0, 1), (0, 5, 0, 1), (2, 0, 3, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 4, 2, 0), (1, 1, 4, 0), (0, 5, 1, 0), (4, 1, 0, 1), (3, 0, 0, 3)}
(11) 1-PS = (1, -1/15, -1/3, -3/5) yields a state with 37 characters
Maximal unstable state={(2, 3, 1, 0), (2, 1, 1, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 0, 1, 2), (3, 1, 0, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (2, 0, 2, 2), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (4, 1, 1, 0), (3, 1, 1, 1), (2, 1, 0, 3), (4, 0, 2, 0), (3, 2, 0, 1), (1, 4, 0, 1), (2, 0, 3, 1), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (5, 1, 0, 0), (4, 1, 0, 1), (3, 0, 0, 3)}
(12) 1-PS = (1, 11/19, -5/19, -25/19) yields a state with 44 characters
Maximal unstable state={(1, 3, 0, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 0, 1, 2), (3, 1, 0, 2), (0, 3, 3, 0), (3, 2, 1, 0), (5, 0, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (0, 2, 4, 0), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 2, 2, 1), (1, 4, 0, 1), (0, 5, 0, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 4, 2, 0), (1, 1, 4, 0), (0, 5, 1, 0), (4, 1, 0, 1)}
(13) 1-PS = (1, 3/31, -13/31, -21/31) yields a state with 39 characters
Maximal unstable state={(2, 1, 1, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 0, 1, 2), (3, 1, 0, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (2, 1, 0, 3), (4, 0, 2, 0), (3, 2, 0, 1), (1, 4, 0, 1), (2, 0, 3, 1), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 5, 1, 0), (4, 1, 0, 1), (3, 0, 0, 3)}
(14) 1-PS = (1, 15/23, -9/23, -29/23) yields a state with 44 characters
Maximal unstable state={(1, 3, 0, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 0, 1, 2), (3, 1, 0, 2), (0, 3, 3, 0), (3, 2, 1, 0), (5, 0, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (0, 4, 0, 2), (1, 3, 1, 1), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 2, 2, 1), (1, 4, 0, 1), (0, 5, 0, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 4, 2, 0), (1, 1, 4, 0), (0, 5, 1, 0), (4, 1, 0, 1)}
(15) 1-PS = (1, 3/7, 3/7, -13/7) yields a state with 50 characters
Maximal unstable state={(6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (5, 0, 1, 0), (0, 3, 3, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (0, 2, 4, 0), (1, 5, 0, 0), (1, 0, 4, 1), (0, 0, 5, 1), (2, 0, 4, 0), (0, 1, 5, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (0, 3, 2, 1), (0, 0, 6, 0), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 2, 2, 1), (1, 4, 0, 1), (0, 2, 3, 1), (0, 5, 0, 1), (2, 0, 3, 1), (1, 2, 3, 0), (5, 0, 0, 1), (0, 1, 4, 1), (3, 3, 0, 0), (2, 4, 0, 0), (1, 1, 3, 1), (2, 3, 1, 0), (0, 4, 2, 0), (1, 1, 4, 0), (0, 5, 1, 0), (4, 1, 0, 1), (1, 0, 5, 0)}
(16) 1-PS = (1, 1, -1/7, -13/7) yields a state with 47 characters
Maximal unstable state={(1, 3, 0, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 1, 0, 2), (0, 3, 3, 0), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (0, 2, 4, 0), (1, 5, 0, 0), (2, 0, 4, 0), (0, 1, 5, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (0, 4, 0, 2), (1, 3, 1, 1), (0, 3, 2, 1), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 2, 2, 1), (1, 4, 0, 1), (0, 5, 0, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (0, 4, 2, 0), (1, 1, 4, 0), (0, 5, 1, 0), (4, 1, 0, 1), (1, 0, 5, 0)}
(17) 1-PS = (1, -1/11, -5/11, -5/11) yields a state with 38 characters
Maximal unstable state={(2, 1, 1, 2), (6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 0, 1, 2), (3, 1, 0, 2), (5, 0, 1, 0), (3, 2, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (2, 2, 0, 2), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (2, 0, 2, 2), (1, 5, 0, 0), (2, 0, 4, 0), (4, 2, 0, 0), (2, 3, 0, 1), (1, 4, 1, 0), (4, 1, 1, 0), (3, 1, 1, 1), (2, 1, 0, 3), (4, 0, 2, 0), (3, 2, 0, 1), (1, 4, 0, 1), (2, 0, 3, 1), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (2, 3, 1, 0), (2, 0, 0, 4), (4, 1, 0, 1), (3, 0, 0, 3), (2, 0, 1, 3)}
(18) 1-PS = (1, 7/19, 3/19, -29/19) yields a state with 48 characters
Maximal unstable state={(6, 0, 0, 0), (2, 2, 2, 0), (2, 1, 3, 0), (3, 0, 1, 2), (0, 3, 3, 0), (3, 1, 0, 2), (3, 2, 1, 0), (5, 0, 1, 0), (4, 0, 0, 2), (3, 1, 2, 0), (3, 0, 2, 1), (5, 1, 0, 0), (2, 1, 2, 1), (4, 0, 1, 1), (2, 2, 1, 1), (3, 0, 3, 0), (0, 2, 4, 0), (1, 5, 0, 0), (1, 0, 4, 1), (2, 0, 4, 0), (0, 1, 5, 0), (4, 2, 0, 0), (0, 4, 1, 1), (2, 3, 0, 1), (1, 4, 1, 0), (1, 3, 2, 0), (1, 3, 1, 1), (0, 0, 6, 0), (4, 1, 1, 0), (0, 6, 0, 0), (3, 1, 1, 1), (4, 0, 2, 0), (3, 2, 0, 1), (1, 2, 2, 1), (1, 4, 0, 1), (0, 5, 0, 1), (2, 0, 3, 1), (1, 2, 3, 0), (5, 0, 0, 1), (3, 3, 0, 0), (2, 4, 0, 0), (1, 1, 3, 1), (2, 3, 1, 0), (0, 4, 2, 0), (1, 1, 4, 0), (0, 5, 1, 0), (4, 1, 0, 1), (1, 0, 5, 0)}


*************************************************************
SOLUTION TO GIT PROBLEM: STRICTLY POLYSTABLE LOCI
*************************************************************
Group: A3 RepresentationA3(6,0,0,0)
Set of strictly polystable states:
(1) A state with 2 characters
Strictly polystable state={(1, 2, 3, 0), (2, 1, 0, 3)}
(2) A state with 16 characters
Strictly polystable state={(2, 1, 1, 2), (1, 3, 1, 1), (0, 0, 6, 0), (0, 3, 3, 0), (0, 6, 0, 0), (2, 2, 0, 2), (1, 2, 2, 1), (1, 4, 0, 1), (0, 2, 4, 0), (2, 0, 2, 2), (1, 0, 4, 1), (0, 1, 5, 0), (1, 1, 3, 1), (0, 4, 2, 0), (0, 5, 1, 0), (3, 0, 0, 3)}
(3) A state with 3 characters
Strictly polystable state={(1, 3, 1, 1), (0, 6, 0, 0), (2, 0, 2, 2)}
(4) A state with 5 characters
Strictly polystable state={(0, 6, 0, 0), (2, 1, 0, 3), (1, 3, 1, 1), (1, 2, 3, 0), (2, 0, 2, 2)}
(5) A state with 5 characters
Strictly polystable state={(1, 3, 0, 2), (2, 0, 3, 1), (0, 3, 2, 1), (3, 0, 1, 2), (1, 0, 5, 0)}
(6) A state with 8 characters
Strictly polystable state={(0, 2, 3, 1), (0, 5, 0, 1), (0, 3, 2, 1), (3, 1, 0, 2), (3, 0, 1, 2), (0, 1, 4, 1), (0, 0, 5, 1), (0, 4, 1, 1)}
(7) A state with 4 characters
Strictly polystable state={(0, 3, 2, 1), (0, 2, 4, 0), (0, 4, 0, 2), (3, 0, 1, 2)}
(8) A state with 9 characters
Strictly polystable state={(1, 3, 2, 0), (1, 3, 0, 2), (2, 0, 3, 1), (1, 3, 1, 1), (2, 0, 2, 2), (0, 6, 0, 0), (2, 0, 4, 0), (2, 0, 0, 4), (2, 0, 1, 3)}
(9) A state with 8 characters
Strictly polystable state={(2, 1, 1, 2), (1, 3, 0, 2), (2, 0, 3, 1), (0, 3, 3, 0), (1, 1, 4, 0), (0, 4, 1, 1), (3, 0, 0, 3), (1, 2, 2, 1)}
(10) A state with 6 characters
Strictly polystable state={(1, 2, 2, 1), (2, 1, 1, 2), (2, 0, 4, 0), (0, 4, 0, 2), (3, 0, 0, 3), (0, 3, 3, 0)}
(11) A state with 6 characters
Strictly polystable state={(2, 1, 1, 2), (0, 5, 0, 1), (1, 0, 5, 0), (0, 3, 3, 0), (3, 0, 0, 3), (1, 2, 2, 1)}
(12) A state with 16 characters
Strictly polystable state={(2, 1, 1, 2), (0, 3, 1, 2), (1, 2, 1, 2), (0, 3, 2, 1), (0, 3, 0, 3), (2, 1, 3, 0), (3, 0, 1, 2), (0, 3, 3, 0), (2, 1, 0, 3), (1, 2, 0, 3), (3, 0, 2, 1), (1, 2, 2, 1), (2, 1, 2, 1), (3, 0, 3, 0), (1, 2, 3, 0), (3, 0, 0, 3)}
(13) A state with 4 characters
Strictly polystable state={(2, 1, 1, 2), (3, 0, 0, 3), (1, 2, 2, 1), (0, 3, 3, 0)}