***************************************
SOLUTION TO GIT PROBLEM: NONSTABLE LOCI
***************************************
Group: A5 Representation A5(3,0,0,0,0,0)
Set of maximal non-stable states:
(1) 1-PS = (1, 1/2, 0, 0, -1/2, -1) yields a state with 33 characters
Maximal nonstable state={(1, 0, 0, 0, 2, 0), (1, 1, 1, 0, 0, 0), (2, 0, 1, 0, 0, 0), (0, 2, 0, 1, 0, 0), (1, 0, 1, 1, 0, 0), (1, 2, 0, 0, 0, 0), (0, 0, 3, 0, 0, 0), (0, 1, 0, 2, 0, 0), (1, 1, 0, 0, 0, 1), (0, 2, 0, 0, 1, 0), (0, 0, 1, 2, 0, 0), (0, 3, 0, 0, 0, 0), (1, 0, 2, 0, 0, 0), (2, 0, 0, 1, 0, 0), (2, 1, 0, 0, 0, 0), (1, 0, 1, 0, 1, 0), (1, 0, 1, 0, 0, 1), (0, 1, 1, 1, 0, 0), (0, 1, 0, 1, 1, 0), (0, 1, 2, 0, 0, 0), (0, 1, 1, 0, 1, 0), (2, 0, 0, 0, 1, 0), (1, 0, 0, 2, 0, 0), (0, 0, 2, 1, 0, 0), (0, 2, 1, 0, 0, 0), (1, 0, 0, 1, 1, 0), (0, 0, 0, 3, 0, 0), (1, 0, 0, 1, 0, 1), (3, 0, 0, 0, 0, 0), (1, 1, 0, 1, 0, 0), (0, 2, 0, 0, 0, 1), (1, 1, 0, 0, 1, 0), (2, 0, 0, 0, 0, 1)}
(2) 1-PS = (1, 1, 0, 0, 0, -2) yields a state with 38 characters
Maximal nonstable state={(0, 0, 0, 1, 2, 0), (1, 0, 0, 0, 2, 0), (1, 1, 1, 0, 0, 0), (2, 0, 1, 0, 0, 0), (0, 2, 0, 1, 0, 0), (1, 0, 1, 1, 0, 0), (1, 2, 0, 0, 0, 0), (0, 0, 0, 0, 3, 0), (0, 0, 3, 0, 0, 0), (0, 1, 0, 2, 0, 0), (1, 1, 0, 0, 0, 1), (0, 0, 1, 1, 1, 0), (0, 2, 0, 0, 1, 0), (0, 0, 1, 2, 0, 0), (0, 3, 0, 0, 0, 0), (1, 0, 2, 0, 0, 0), (2, 0, 0, 1, 0, 0), (2, 1, 0, 0, 0, 0), (1, 0, 1, 0, 1, 0), (0, 0, 1, 0, 2, 0), (0, 1, 1, 1, 0, 0), (0, 1, 0, 1, 1, 0), (0, 1, 2, 0, 0, 0), (0, 1, 1, 0, 1, 0), (0, 1, 0, 0, 2, 0), (2, 0, 0, 0, 1, 0), (1, 0, 0, 2, 0, 0), (0, 0, 2, 0, 1, 0), (0, 0, 2, 1, 0, 0), (0, 2, 1, 0, 0, 0), (1, 0, 0, 1, 1, 0), (0, 0, 0, 3, 0, 0), (0, 0, 0, 2, 1, 0), (3, 0, 0, 0, 0, 0), (1, 1, 0, 1, 0, 0), (0, 2, 0, 0, 0, 1), (1, 1, 0, 0, 1, 0), (2, 0, 0, 0, 0, 1)}
(3) 1-PS = (1, 0, 0, 0, -1/2, -1/2) yields a state with 31 characters
Maximal nonstable state={(1, 0, 0, 0, 2, 0), (1, 1, 1, 0, 0, 0), (0, 1, 2, 0, 0, 0), (2, 0, 1, 0, 0, 0), (0, 2, 0, 1, 0, 0), (1, 0, 1, 1, 0, 0), (1, 2, 0, 0, 0, 0), (1, 0, 0, 0, 1, 1), (2, 0, 0, 0, 1, 0), (0, 0, 3, 0, 0, 0), (1, 0, 0, 2, 0, 0), (0, 1, 0, 2, 0, 0), (1, 1, 0, 0, 0, 1), (0, 0, 1, 2, 0, 0), (0, 0, 2, 1, 0, 0), (0, 3, 0, 0, 0, 0), (0, 2, 1, 0, 0, 0), (1, 0, 0, 1, 1, 0), (0, 0, 0, 3, 0, 0), (1, 0, 2, 0, 0, 0), (1, 0, 0, 1, 0, 1), (2, 0, 0, 1, 0, 0), (3, 0, 0, 0, 0, 0), (2, 1, 0, 0, 0, 0), (1, 1, 0, 1, 0, 0), (1, 0, 0, 0, 0, 2), (1, 0, 1, 0, 1, 0), (1, 0, 1, 0, 0, 1), (1, 1, 0, 0, 1, 0), (0, 1, 1, 1, 0, 0), (2, 0, 0, 0, 0, 1)}
(4) 1-PS = (1, 1/4, 1/4, -1/2, -1/2, -1/2) yields a state with 34 characters
Maximal nonstable state={(1, 0, 0, 0, 2, 0), (1, 1, 1, 0, 0, 0), (2, 0, 1, 0, 0, 0), (0, 2, 0, 1, 0, 0), (1, 0, 1, 1, 0, 0), (1, 2, 0, 0, 0, 0), (1, 0, 0, 0, 1, 1), (0, 0, 3, 0, 0, 0), (1, 1, 0, 0, 0, 1), (0, 2, 0, 0, 1, 0), (0, 3, 0, 0, 0, 0), (1, 0, 2, 0, 0, 0), (2, 0, 0, 1, 0, 0), (2, 1, 0, 0, 0, 0), (1, 0, 0, 0, 0, 2), (1, 0, 1, 0, 1, 0), (1, 0, 1, 0, 0, 1), (0, 1, 1, 1, 0, 0), (0, 0, 2, 0, 0, 1), (0, 1, 2, 0, 0, 0), (0, 1, 1, 0, 1, 0), (2, 0, 0, 0, 1, 0), (1, 0, 0, 2, 0, 0), (0, 0, 2, 0, 1, 0), (0, 0, 2, 1, 0, 0), (0, 2, 1, 0, 0, 0), (1, 0, 0, 1, 1, 0), (1, 0, 0, 1, 0, 1), (0, 1, 1, 0, 0, 1), (3, 0, 0, 0, 0, 0), (1, 1, 0, 1, 0, 0), (0, 2, 0, 0, 0, 1), (1, 1, 0, 0, 1, 0), (2, 0, 0, 0, 0, 1)}
(5) 1-PS = (1, 1, -1/2, -1/2, -1/2, -1/2) yields a state with 36 characters
Maximal nonstable state={(1, 0, 0, 0, 2, 0), (1, 1, 1, 0, 0, 0), (2, 0, 1, 0, 0, 0), (0, 2, 0, 1, 0, 0), (1, 0, 1, 1, 0, 0), (1, 2, 0, 0, 0, 0), (1, 0, 0, 0, 1, 1), (0, 1, 0, 0, 1, 1), (0, 1, 0, 2, 0, 0), (1, 1, 0, 0, 0, 1), (0, 2, 0, 0, 1, 0), (0, 3, 0, 0, 0, 0), (1, 0, 2, 0, 0, 0), (2, 0, 0, 1, 0, 0), (2, 1, 0, 0, 0, 0), (1, 0, 0, 0, 0, 2), (0, 1, 0, 0, 0, 2), (1, 0, 1, 0, 1, 0), (1, 0, 1, 0, 0, 1), (0, 1, 1, 1, 0, 0), (0, 1, 0, 1, 1, 0), (0, 1, 2, 0, 0, 0), (0, 1, 1, 0, 1, 0), (0, 1, 0, 0, 2, 0), (2, 0, 0, 0, 1, 0), (1, 0, 0, 2, 0, 0), (0, 2, 1, 0, 0, 0), (1, 0, 0, 1, 1, 0), (1, 0, 0, 1, 0, 1), (0, 1, 1, 0, 0, 1), (3, 0, 0, 0, 0, 0), (0, 1, 0, 1, 0, 1), (1, 1, 0, 1, 0, 0), (0, 2, 0, 0, 0, 1), (1, 1, 0, 0, 1, 0), (2, 0, 0, 0, 0, 1)}
(6) 1-PS = (1, 1, 1, -1/2, -1/2, -2) yields a state with 37 characters
Maximal nonstable state={(1, 0, 0, 0, 2, 0), (1, 1, 1, 0, 0, 0), (2, 0, 1, 0, 0, 0), (0, 2, 0, 1, 0, 0), (1, 0, 1, 1, 0, 0), (1, 2, 0, 0, 0, 0), (0, 0, 3, 0, 0, 0), (0, 1, 0, 2, 0, 0), (1, 1, 0, 0, 0, 1), (0, 0, 1, 1, 1, 0), (0, 2, 0, 0, 1, 0), (0, 0, 1, 2, 0, 0), (0, 3, 0, 0, 0, 0), (1, 0, 2, 0, 0, 0), (2, 0, 0, 1, 0, 0), (2, 1, 0, 0, 0, 0), (1, 0, 1, 0, 1, 0), (0, 0, 1, 0, 2, 0), (1, 0, 1, 0, 0, 1), (0, 1, 1, 1, 0, 0), (0, 0, 2, 0, 0, 1), (0, 1, 0, 1, 1, 0), (0, 1, 2, 0, 0, 0), (0, 1, 1, 0, 1, 0), (0, 1, 0, 0, 2, 0), (2, 0, 0, 0, 1, 0), (1, 0, 0, 2, 0, 0), (0, 0, 2, 0, 1, 0), (0, 0, 2, 1, 0, 0), (0, 2, 1, 0, 0, 0), (1, 0, 0, 1, 1, 0), (0, 1, 1, 0, 0, 1), (3, 0, 0, 0, 0, 0), (1, 1, 0, 1, 0, 0), (0, 2, 0, 0, 0, 1), (1, 1, 0, 0, 1, 0), (2, 0, 0, 0, 0, 1)}
(7) 1-PS = (1, 1, 1, 1, -2, -2) yields a state with 40 characters
Maximal nonstable state={(1, 1, 1, 0, 0, 0), (2, 0, 1, 0, 0, 0), (0, 2, 0, 1, 0, 0), (1, 0, 1, 1, 0, 0), (1, 2, 0, 0, 0, 0), (0, 0, 3, 0, 0, 0), (0, 1, 0, 2, 0, 0), (1, 1, 0, 0, 0, 1), (0, 0, 1, 1, 1, 0), (0, 2, 0, 0, 1, 0), (0, 0, 1, 2, 0, 0), (0, 0, 0, 2, 0, 1), (0, 3, 0, 0, 0, 0), (1, 0, 2, 0, 0, 0), (2, 0, 0, 1, 0, 0), (2, 1, 0, 0, 0, 0), (1, 0, 1, 0, 1, 0), (0, 1, 1, 1, 0, 0), (0, 0, 1, 1, 0, 1), (1, 0, 1, 0, 0, 1), (0, 0, 2, 0, 0, 1), (0, 1, 0, 1, 1, 0), (0, 1, 2, 0, 0, 0), (0, 1, 1, 0, 1, 0), (2, 0, 0, 0, 1, 0), (1, 0, 0, 2, 0, 0), (0, 0, 2, 0, 1, 0), (0, 0, 2, 1, 0, 0), (0, 2, 1, 0, 0, 0), (1, 0, 0, 1, 1, 0), (0, 0, 0, 3, 0, 0), (1, 0, 0, 1, 0, 1), (0, 1, 1, 0, 0, 1), (0, 0, 0, 2, 1, 0), (3, 0, 0, 0, 0, 0), (0, 1, 0, 1, 0, 1), (1, 1, 0, 1, 0, 0), (0, 2, 0, 0, 0, 1), (1, 1, 0, 0, 1, 0), (2, 0, 0, 0, 0, 1)}
(8) 1-PS = (1, 0, 0, 0, 0, -1) yields a state with 40 characters
Maximal nonstable state={(0, 0, 0, 1, 2, 0), (1, 0, 0, 0, 2, 0), (1, 1, 1, 0, 0, 0), (2, 0, 1, 0, 0, 0), (0, 2, 0, 1, 0, 0), (1, 0, 1, 1, 0, 0), (1, 2, 0, 0, 0, 0), (1, 0, 0, 0, 1, 1), (0, 0, 0, 0, 3, 0), (0, 0, 3, 0, 0, 0), (0, 1, 0, 2, 0, 0), (1, 1, 0, 0, 0, 1), (0, 0, 1, 1, 1, 0), (0, 2, 0, 0, 1, 0), (0, 0, 1, 2, 0, 0), (0, 3, 0, 0, 0, 0), (1, 0, 2, 0, 0, 0), (2, 0, 0, 1, 0, 0), (2, 1, 0, 0, 0, 0), (1, 0, 1, 0, 1, 0), (0, 0, 1, 0, 2, 0), (0, 1, 1, 1, 0, 0), (1, 0, 1, 0, 0, 1), (0, 1, 0, 1, 1, 0), (0, 1, 2, 0, 0, 0), (0, 1, 1, 0, 1, 0), (0, 1, 0, 0, 2, 0), (2, 0, 0, 0, 1, 0), (1, 0, 0, 2, 0, 0), (0, 0, 2, 0, 1, 0), (0, 0, 2, 1, 0, 0), (0, 2, 1, 0, 0, 0), (1, 0, 0, 1, 1, 0), (0, 0, 0, 3, 0, 0), (1, 0, 0, 1, 0, 1), (0, 0, 0, 2, 1, 0), (3, 0, 0, 0, 0, 0), (1, 1, 0, 1, 0, 0), (1, 1, 0, 0, 1, 0), (2, 0, 0, 0, 0, 1)}


**************************************
SOLUTION TO GIT PROBLEM: UNSTABLE LOCI
**************************************
Group: A5 Representation A5(3,0,0,0,0,0)
Set of maximal unstable states:
(1) 1-PS = (1, 1, 7/25, 1/25, -11/25, -47/25) yields a state with 33 characters
Maximal unstable state={(1, 0, 0, 0, 2, 0), (1, 1, 1, 0, 0, 0), (2, 0, 1, 0, 0, 0), (1, 0, 1, 1, 0, 0), (0, 2, 0, 1, 0, 0), (1, 2, 0, 0, 0, 0), (0, 0, 3, 0, 0, 0), (0, 1, 0, 2, 0, 0), (1, 1, 0, 0, 0, 1), (0, 2, 0, 0, 1, 0), (0, 0, 1, 2, 0, 0), (0, 3, 0, 0, 0, 0), (1, 0, 2, 0, 0, 0), (2, 0, 0, 1, 0, 0), (2, 1, 0, 0, 0, 0), (1, 0, 1, 0, 1, 0), (0, 1, 1, 1, 0, 0), (0, 1, 0, 1, 1, 0), (0, 1, 2, 0, 0, 0), (0, 1, 1, 0, 1, 0), (0, 1, 0, 0, 2, 0), (2, 0, 0, 0, 1, 0), (1, 0, 0, 2, 0, 0), (0, 0, 2, 0, 1, 0), (0, 0, 2, 1, 0, 0), (0, 2, 1, 0, 0, 0), (1, 0, 0, 1, 1, 0), (0, 0, 0, 3, 0, 0), (3, 0, 0, 0, 0, 0), (1, 1, 0, 1, 0, 0), (0, 2, 0, 0, 0, 1), (1, 1, 0, 0, 1, 0), (2, 0, 0, 0, 0, 1)}
(2) 1-PS = (1, 7/13, 1/13, 1/13, -11/13, -11/13) yields a state with 30 characters
Maximal unstable state={(1, 1, 1, 0, 0, 0), (0, 1, 2, 0, 0, 0), (0, 2, 0, 0, 0, 1), (2, 0, 1, 0, 0, 0), (1, 0, 1, 1, 0, 0), (0, 2, 0, 1, 0, 0), (1, 2, 0, 0, 0, 0), (2, 0, 0, 0, 1, 0), (0, 0, 3, 0, 0, 0), (1, 0, 0, 2, 0, 0), (0, 1, 0, 2, 0, 0), (1, 1, 0, 0, 0, 1), (0, 2, 0, 0, 1, 0), (0, 0, 1, 2, 0, 0), (0, 0, 2, 1, 0, 0), (0, 3, 0, 0, 0, 0), (0, 2, 1, 0, 0, 0), (1, 0, 0, 1, 1, 0), (0, 0, 0, 3, 0, 0), (1, 0, 2, 0, 0, 0), (1, 0, 0, 1, 0, 1), (2, 0, 0, 1, 0, 0), (3, 0, 0, 0, 0, 0), (2, 1, 0, 0, 0, 0), (1, 1, 0, 1, 0, 0), (1, 0, 1, 0, 1, 0), (1, 0, 1, 0, 0, 1), (1, 1, 0, 0, 1, 0), (0, 1, 1, 1, 0, 0), (2, 0, 0, 0, 0, 1)}
(3) 1-PS = (1, 1, 1, 1/7, -11/7, -11/7) yields a state with 32 characters
Maximal unstable state={(1, 1, 1, 0, 0, 0), (2, 0, 1, 0, 0, 0), (1, 0, 1, 1, 0, 0), (0, 2, 0, 1, 0, 0), (1, 2, 0, 0, 0, 0), (0, 0, 3, 0, 0, 0), (0, 1, 0, 2, 0, 0), (1, 1, 0, 0, 0, 1), (0, 2, 0, 0, 1, 0), (0, 0, 1, 2, 0, 0), (0, 3, 0, 0, 0, 0), (1, 0, 2, 0, 0, 0), (2, 0, 0, 1, 0, 0), (2, 1, 0, 0, 0, 0), (1, 0, 1, 0, 1, 0), (0, 1, 1, 1, 0, 0), (1, 0, 1, 0, 0, 1), (0, 0, 2, 0, 0, 1), (0, 1, 2, 0, 0, 0), (0, 1, 1, 0, 1, 0), (2, 0, 0, 0, 1, 0), (1, 0, 0, 2, 0, 0), (0, 0, 2, 0, 1, 0), (0, 0, 2, 1, 0, 0), (0, 2, 1, 0, 0, 0), (0, 0, 0, 3, 0, 0), (0, 1, 1, 0, 0, 1), (3, 0, 0, 0, 0, 0), (1, 1, 0, 1, 0, 0), (0, 2, 0, 0, 0, 1), (1, 1, 0, 0, 1, 0), (2, 0, 0, 0, 0, 1)}
(4) 1-PS = (1, 19/25, 13/25, 1/25, -23/25, -7/5) yields a state with 31 characters
Maximal unstable state={(1, 1, 1, 0, 0, 0), (0, 1, 2, 0, 0, 0), (0, 2, 0, 0, 0, 1), (2, 0, 1, 0, 0, 0), (1, 0, 1, 1, 0, 0), (0, 2, 0, 1, 0, 0), (1, 2, 0, 0, 0, 0), (0, 1, 1, 0, 1, 0), (2, 0, 0, 0, 1, 0), (0, 0, 3, 0, 0, 0), (1, 0, 0, 2, 0, 0), (0, 1, 0, 2, 0, 0), (1, 1, 0, 0, 0, 1), (0, 2, 0, 0, 1, 0), (0, 0, 1, 2, 0, 0), (0, 0, 2, 0, 1, 0), (0, 0, 2, 1, 0, 0), (0, 3, 0, 0, 0, 0), (0, 2, 1, 0, 0, 0), (1, 0, 0, 1, 1, 0), (0, 0, 0, 3, 0, 0), (1, 0, 2, 0, 0, 0), (2, 0, 0, 1, 0, 0), (3, 0, 0, 0, 0, 0), (2, 1, 0, 0, 0, 0), (1, 1, 0, 1, 0, 0), (1, 0, 1, 0, 1, 0), (1, 0, 1, 0, 0, 1), (1, 1, 0, 0, 1, 0), (0, 1, 1, 1, 0, 0), (2, 0, 0, 0, 0, 1)}
(5) 1-PS = (1, 7/11, 3/11, -3/11, -5/11, -13/11) yields a state with 30 characters
Maximal unstable state={(1, 0, 0, 0, 2, 0), (1, 1, 1, 0, 0, 0), (0, 1, 2, 0, 0, 0), (0, 2, 0, 0, 0, 1), (2, 0, 1, 0, 0, 0), (1, 0, 1, 1, 0, 0), (0, 2, 0, 1, 0, 0), (1, 2, 0, 0, 0, 0), (0, 1, 1, 0, 1, 0), (2, 0, 0, 0, 1, 0), (0, 0, 3, 0, 0, 0), (1, 0, 0, 2, 0, 0), (0, 1, 0, 2, 0, 0), (1, 1, 0, 0, 0, 1), (0, 2, 0, 0, 1, 0), (0, 0, 2, 0, 1, 0), (0, 0, 2, 1, 0, 0), (0, 3, 0, 0, 0, 0), (0, 2, 1, 0, 0, 0), (1, 0, 0, 1, 1, 0), (1, 0, 2, 0, 0, 0), (2, 0, 0, 1, 0, 0), (3, 0, 0, 0, 0, 0), (2, 1, 0, 0, 0, 0), (1, 1, 0, 1, 0, 0), (1, 0, 1, 0, 1, 0), (1, 0, 1, 0, 0, 1), (1, 1, 0, 0, 1, 0), (0, 1, 1, 1, 0, 0), (2, 0, 0, 0, 0, 1)}
(6) 1-PS = (1, 1/7, 1/7, 1/7, 1/7, -11/7) yields a state with 36 characters
Maximal unstable state={(0, 0, 0, 1, 2, 0), (1, 0, 0, 0, 2, 0), (1, 1, 1, 0, 0, 0), (2, 0, 1, 0, 0, 0), (1, 0, 1, 1, 0, 0), (0, 2, 0, 1, 0, 0), (1, 2, 0, 0, 0, 0), (0, 0, 0, 0, 3, 0), (0, 0, 3, 0, 0, 0), (0, 1, 0, 2, 0, 0), (0, 0, 1, 1, 1, 0), (0, 2, 0, 0, 1, 0), (0, 0, 1, 2, 0, 0), (0, 3, 0, 0, 0, 0), (1, 0, 2, 0, 0, 0), (2, 0, 0, 1, 0, 0), (2, 1, 0, 0, 0, 0), (1, 0, 1, 0, 1, 0), (0, 0, 1, 0, 2, 0), (0, 1, 1, 1, 0, 0), (0, 1, 0, 1, 1, 0), (0, 1, 2, 0, 0, 0), (0, 1, 1, 0, 1, 0), (0, 1, 0, 0, 2, 0), (2, 0, 0, 0, 1, 0), (1, 0, 0, 2, 0, 0), (0, 0, 2, 0, 1, 0), (0, 0, 2, 1, 0, 0), (0, 2, 1, 0, 0, 0), (1, 0, 0, 1, 1, 0), (0, 0, 0, 3, 0, 0), (0, 0, 0, 2, 1, 0), (3, 0, 0, 0, 0, 0), (1, 1, 0, 1, 0, 0), (1, 1, 0, 0, 1, 0), (2, 0, 0, 0, 0, 1)}
(7) 1-PS = (1, 7/25, 1/25, -11/25, -11/25, -11/25) yields a state with 28 characters
Maximal unstable state={(1, 0, 0, 0, 2, 0), (1, 1, 1, 0, 0, 0), (0, 1, 2, 0, 0, 0), (2, 0, 1, 0, 0, 0), (1, 0, 1, 1, 0, 0), (0, 2, 0, 1, 0, 0), (1, 2, 0, 0, 0, 0), (1, 0, 0, 0, 1, 1), (2, 0, 0, 0, 1, 0), (0, 0, 3, 0, 0, 0), (1, 0, 0, 2, 0, 0), (1, 1, 0, 0, 0, 1), (0, 2, 0, 0, 1, 0), (0, 3, 0, 0, 0, 0), (0, 2, 1, 0, 0, 0), (1, 0, 0, 1, 1, 0), (1, 0, 2, 0, 0, 0), (1, 0, 0, 1, 0, 1), (2, 0, 0, 1, 0, 0), (3, 0, 0, 0, 0, 0), (2, 1, 0, 0, 0, 0), (1, 1, 0, 1, 0, 0), (1, 0, 0, 0, 0, 2), (1, 0, 1, 0, 1, 0), (0, 2, 0, 0, 0, 1), (1, 1, 0, 0, 1, 0), (1, 0, 1, 0, 0, 1), (2, 0, 0, 0, 0, 1)}
(8) 1-PS = (1, 25/61, 1/61, -11/61, -29/61, -47/61) yields a state with 28 characters
Maximal unstable state={(1, 0, 0, 0, 2, 0), (1, 1, 1, 0, 0, 0), (0, 1, 2, 0, 0, 0), (0, 2, 0, 0, 0, 1), (2, 0, 1, 0, 0, 0), (1, 0, 1, 1, 0, 0), (0, 2, 0, 1, 0, 0), (1, 2, 0, 0, 0, 0), (2, 0, 0, 0, 1, 0), (0, 0, 3, 0, 0, 0), (1, 0, 0, 2, 0, 0), (0, 1, 0, 2, 0, 0), (1, 1, 0, 0, 0, 1), (0, 2, 0, 0, 1, 0), (0, 3, 0, 0, 0, 0), (0, 2, 1, 0, 0, 0), (1, 0, 0, 1, 1, 0), (1, 0, 2, 0, 0, 0), (1, 0, 0, 1, 0, 1), (2, 0, 0, 1, 0, 0), (3, 0, 0, 0, 0, 0), (2, 1, 0, 0, 0, 0), (1, 1, 0, 1, 0, 0), (1, 0, 1, 0, 1, 0), (1, 0, 1, 0, 0, 1), (1, 1, 0, 0, 1, 0), (0, 1, 1, 1, 0, 0), (2, 0, 0, 0, 0, 1)}
(9) 1-PS = (1, 7/25, 7/25, 1/25, -11/25, -29/25) yields a state with 31 characters
Maximal unstable state={(1, 0, 0, 0, 2, 0), (1, 1, 1, 0, 0, 0), (0, 1, 2, 0, 0, 0), (2, 0, 1, 0, 0, 0), (1, 0, 1, 1, 0, 0), (0, 2, 0, 1, 0, 0), (1, 2, 0, 0, 0, 0), (0, 1, 1, 0, 1, 0), (2, 0, 0, 0, 1, 0), (0, 0, 3, 0, 0, 0), (1, 0, 0, 2, 0, 0), (0, 1, 0, 2, 0, 0), (1, 1, 0, 0, 0, 1), (0, 2, 0, 0, 1, 0), (0, 0, 1, 2, 0, 0), (0, 0, 2, 0, 1, 0), (0, 0, 2, 1, 0, 0), (0, 3, 0, 0, 0, 0), (0, 2, 1, 0, 0, 0), (1, 0, 0, 1, 1, 0), (0, 0, 0, 3, 0, 0), (1, 0, 2, 0, 0, 0), (2, 0, 0, 1, 0, 0), (3, 0, 0, 0, 0, 0), (2, 1, 0, 0, 0, 0), (1, 1, 0, 1, 0, 0), (1, 0, 1, 0, 1, 0), (1, 0, 1, 0, 0, 1), (1, 1, 0, 0, 1, 0), (0, 1, 1, 1, 0, 0), (2, 0, 0, 0, 0, 1)}
(10) 1-PS = (1, 7/25, 1/25, 1/25, -11/25, -23/25) yields a state with 30 characters
Maximal unstable state={(1, 0, 0, 0, 2, 0), (1, 1, 1, 0, 0, 0), (0, 1, 2, 0, 0, 0), (2, 0, 1, 0, 0, 0), (1, 0, 1, 1, 0, 0), (0, 2, 0, 1, 0, 0), (1, 2, 0, 0, 0, 0), (2, 0, 0, 0, 1, 0), (0, 0, 3, 0, 0, 0), (1, 0, 0, 2, 0, 0), (0, 1, 0, 2, 0, 0), (1, 1, 0, 0, 0, 1), (0, 2, 0, 0, 1, 0), (0, 0, 1, 2, 0, 0), (0, 0, 2, 1, 0, 0), (0, 3, 0, 0, 0, 0), (0, 2, 1, 0, 0, 0), (1, 0, 0, 1, 1, 0), (0, 0, 0, 3, 0, 0), (1, 0, 2, 0, 0, 0), (1, 0, 0, 1, 0, 1), (2, 0, 0, 1, 0, 0), (3, 0, 0, 0, 0, 0), (2, 1, 0, 0, 0, 0), (1, 1, 0, 1, 0, 0), (1, 0, 1, 0, 1, 0), (1, 0, 1, 0, 0, 1), (1, 1, 0, 0, 1, 0), (0, 1, 1, 1, 0, 0), (2, 0, 0, 0, 0, 1)}


*************************************************************
SOLUTION TO GIT PROBLEM: STRICTLY POLYSTABLE LOCI
*************************************************************
Group: A5 Representation A5(3,0,0,0,0,0)
Set of strictly polystable states:
(1) A state with 10 characters
Strictly polystable state={(1, 0, 0, 0, 2, 0), (0, 1, 0, 1, 1, 0), (0, 0, 1, 2, 0, 0), (0, 0, 2, 1, 0, 0), (0, 0, 0, 3, 0, 0), (1, 0, 0, 1, 0, 1), (0, 1, 1, 0, 1, 0), (0, 2, 0, 0, 0, 1), (1, 0, 1, 0, 0, 1), (0, 0, 3, 0, 0, 0)}
(2) A state with 24 characters
Strictly polystable state={(0, 0, 0, 1, 2, 0), (0, 1, 0, 1, 1, 0), (0, 1, 2, 0, 0, 0), (0, 2, 0, 1, 0, 0), (0, 1, 1, 0, 1, 0), (1, 0, 0, 0, 1, 1), (0, 0, 0, 0, 3, 0), (0, 1, 0, 0, 2, 0), (0, 0, 3, 0, 0, 0), (0, 1, 0, 2, 0, 0), (1, 1, 0, 0, 0, 1), (0, 0, 1, 1, 1, 0), (0, 2, 0, 0, 1, 0), (0, 0, 1, 2, 0, 0), (0, 0, 2, 0, 1, 0), (0, 0, 2, 1, 0, 0), (0, 3, 0, 0, 0, 0), (0, 2, 1, 0, 0, 0), (0, 0, 0, 3, 0, 0), (1, 0, 0, 1, 0, 1), (0, 0, 0, 2, 1, 0), (1, 0, 1, 0, 0, 1), (0, 0, 1, 0, 2, 0), (0, 1, 1, 1, 0, 0)}
(3) A state with 5 characters
Strictly polystable state={(0, 0, 2, 0, 0, 1), (1, 1, 0, 0, 0, 1), (0, 0, 1, 1, 1, 0), (0, 1, 0, 0, 2, 0), (1, 0, 0, 2, 0, 0)}
(4) A state with 6 characters
Strictly polystable state={(1, 0, 0, 1, 0, 1), (0, 1, 1, 0, 1, 0), (0, 2, 0, 0, 1, 0), (0, 0, 2, 0, 1, 0), (1, 0, 0, 0, 0, 2), (1, 0, 0, 2, 0, 0)}
(5) A state with 13 characters
Strictly polystable state={(0, 1, 0, 2, 0, 0), (1, 0, 0, 0, 2, 0), (0, 0, 1, 2, 0, 0), (0, 1, 2, 0, 0, 0), (0, 0, 2, 1, 0, 0), (0, 3, 0, 0, 0, 0), (0, 2, 1, 0, 0, 0), (0, 0, 0, 3, 0, 0), (0, 2, 0, 1, 0, 0), (1, 0, 0, 0, 1, 1), (1, 0, 0, 0, 0, 2), (0, 1, 1, 1, 0, 0), (0, 0, 3, 0, 0, 0)}
(6) A state with 20 characters
Strictly polystable state={(1, 0, 0, 0, 2, 0), (0, 1, 0, 1, 1, 0), (0, 1, 0, 0, 0, 2), (0, 1, 2, 0, 0, 0), (1, 0, 1, 1, 0, 0), (0, 1, 1, 0, 1, 0), (1, 0, 0, 0, 1, 1), (0, 1, 1, 1, 0, 0), (0, 1, 0, 0, 2, 0), (1, 0, 0, 2, 0, 0), (0, 1, 0, 0, 1, 1), (0, 1, 0, 2, 0, 0), (1, 0, 0, 1, 1, 0), (1, 0, 2, 0, 0, 0), (1, 0, 0, 1, 0, 1), (0, 1, 1, 0, 0, 1), (0, 1, 0, 1, 0, 1), (1, 0, 0, 0, 0, 2), (1, 0, 1, 0, 1, 0), (1, 0, 1, 0, 0, 1)}
(7) A state with 8 characters
Strictly polystable state={(0, 2, 0, 0, 1, 0), (0, 0, 2, 0, 1, 0), (0, 0, 2, 1, 0, 0), (0, 2, 0, 1, 0, 0), (1, 0, 0, 1, 0, 1), (0, 1, 1, 0, 1, 0), (1, 0, 0, 0, 1, 1), (0, 1, 1, 1, 0, 0)}
(8) A state with 4 characters
Strictly polystable state={(1, 0, 0, 1, 1, 0), (0, 1, 1, 0, 0, 1), (1, 0, 0, 0, 2, 0), (1, 0, 0, 2, 0, 0)}
(9) A state with 15 characters
Strictly polystable state={(0, 0, 2, 0, 0, 1), (1, 0, 0, 0, 2, 0), (0, 2, 0, 0, 1, 0), (0, 0, 2, 0, 1, 0), (0, 0, 2, 1, 0, 0), (1, 0, 0, 1, 1, 0), (0, 2, 0, 1, 0, 0), (1, 0, 0, 1, 0, 1), (0, 1, 1, 0, 1, 0), (0, 1, 1, 0, 0, 1), (1, 0, 0, 0, 1, 1), (1, 0, 0, 0, 0, 2), (0, 2, 0, 0, 0, 1), (0, 1, 1, 1, 0, 0), (1, 0, 0, 2, 0, 0)}
(10) A state with 8 characters
Strictly polystable state={(0, 1, 0, 1, 1, 0), (1, 0, 0, 1, 1, 0), (1, 0, 0, 1, 0, 1), (0, 1, 1, 0, 1, 0), (0, 1, 1, 0, 0, 1), (0, 1, 0, 1, 0, 1), (1, 0, 1, 0, 1, 0), (1, 0, 1, 0, 0, 1)}
(11) A state with 4 characters
Strictly polystable state={(1, 0, 0, 1, 1, 0), (0, 1, 1, 0, 0, 1), (0, 0, 1, 1, 1, 0), (1, 1, 0, 0, 0, 1)}
(12) A state with 9 characters
Strictly polystable state={(1, 0, 0, 0, 2, 0), (0, 1, 0, 1, 1, 0), (1, 0, 2, 0, 0, 0), (1, 0, 0, 0, 1, 1), (0, 1, 0, 1, 0, 1), (0, 1, 1, 1, 0, 0), (1, 0, 0, 0, 0, 2), (1, 0, 1, 0, 1, 0), (1, 0, 1, 0, 0, 1)}
(13) A state with 2 characters
Strictly polystable state={(0, 1, 0, 1, 1, 0), (1, 0, 1, 0, 0, 1)}
(14) A state with 11 characters
Strictly polystable state={(0, 2, 0, 0, 1, 0), (0, 0, 2, 0, 1, 0), (0, 1, 2, 0, 0, 0), (0, 2, 1, 0, 0, 0), (0, 3, 0, 0, 0, 0), (1, 0, 0, 1, 0, 1), (0, 1, 1, 0, 1, 0), (0, 0, 0, 0, 3, 0), (0, 1, 0, 0, 2, 0), (0, 0, 1, 0, 2, 0), (0, 0, 3, 0, 0, 0)}