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SOLUTION TO GIT PROBLEM: NONSTABLE LOCI
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Group: B4 Representation B4(1,1,1,0)
Set of maximal non-stable states:
(1) 1-PS = (1, 1, 1, 0) yields a state with 43 characters
Maximal nonstable state={(1, 1, -1, 0), (0, 1, 1, 0), (1, 0, -1, 0), (0, 0, 1, -1), (1, -1, 0, -1), (0, 1, -1, -1), (1, 0, 0, 0), (1, -1, 0, 1), (0, 0, 1, 1), (0, 1, -1, 1), (1, -1, 1, 0), (0, 1, 0, -1), (0, 1, 0, 1), (1, 1, 0, 0), (0, -1, 1, -1), (0, 0, 0, 1), (0, 0, 1, 0), (0, -1, 1, 1), (-1, 0, 1, -1), (1, -1, 0, 0), (0, 0, 0, -1), (1, 0, 1, -1), (-1, 0, 1, 1), (0, 1, 0, 0), (1, 0, 1, 1), (0, 1, -1, 0), (-1, 1, 1, 0), (-1, 1, 0, -1), (-1, 1, 0, 1), (0, 1, 1, -1), (0, 1, 1, 1), (1, 0, -1, -1), (0, -1, 1, 0), (1, 1, 1, 0), (1, 0, -1, 1), (1, 0, 0, -1), (-1, 0, 1, 0), (0, 0, 0, 0), (1, 0, 1, 0), (1, 0, 0, 1), (1, 1, 0, -1), (1, 1, 0, 1), (-1, 1, 0, 0)}
(2) 1-PS = (1, 1, 1/2, 1/2) yields a state with 37 characters
Maximal nonstable state={(1, 1, -1, 0), (0, 1, 1, 0), (1, 0, -1, 0), (0, 0, 1, -1), (0, 1, -1, -1), (1, 0, 0, 0), (1, -1, 0, 1), (0, 0, 1, 1), (0, 1, -1, 1), (1, -1, 1, 0), (0, 1, 0, -1), (0, 1, 0, 1), (1, 1, 0, 0), (0, 0, -1, 1), (0, 0, 0, 1), (0, 0, 1, 0), (0, -1, 1, 1), (1, -1, 0, 0), (1, 0, 1, -1), (1, 0, 1, 1), (-1, 0, 1, 1), (0, 1, 0, 0), (0, 1, -1, 0), (-1, 1, 1, 0), (-1, 1, 0, 1), (0, 1, 1, -1), (0, 1, 1, 1), (1, 0, -1, -1), (1, 1, 1, 0), (1, 0, -1, 1), (1, 0, 0, -1), (0, 0, 0, 0), (1, 0, 1, 0), (1, 0, 0, 1), (1, 1, 0, -1), (1, 1, 0, 1), (-1, 1, 0, 0)}
(3) 1-PS = (1, 1/2, 1/2, 0) yields a state with 38 characters
Maximal nonstable state={(1, 1, -1, 0), (0, 1, 1, 0), (1, 0, -1, 0), (0, 0, 1, -1), (1, -1, 0, -1), (0, 1, -1, -1), (1, 0, 0, 0), (1, -1, 0, 1), (0, 0, 1, 1), (0, 1, -1, 1), (1, -1, 1, 0), (0, 1, 0, -1), (0, 1, 0, 1), (1, 1, 0, 0), (1, -1, -1, 0), (0, -1, 1, -1), (0, 0, 0, 1), (0, 0, 1, 0), (0, -1, 1, 1), (1, -1, 0, 0), (0, 0, 0, -1), (1, 0, 1, -1), (1, 0, 1, 1), (0, 1, 0, 0), (0, 1, -1, 0), (-1, 1, 1, 0), (0, 1, 1, -1), (0, 1, 1, 1), (1, 0, -1, -1), (0, -1, 1, 0), (1, 1, 1, 0), (1, 0, -1, 1), (1, 0, 0, -1), (0, 0, 0, 0), (1, 0, 1, 0), (1, 0, 0, 1), (1, 1, 0, -1), (1, 1, 0, 1)}
(4) 1-PS = (1, 1/2, 1/2, 1/2) yields a state with 39 characters
Maximal nonstable state={(0, -1, 0, 1), (1, 1, -1, 0), (0, 1, 1, 0), (1, 0, -1, 0), (0, 0, 1, -1), (1, -1, 0, -1), (1, 0, 0, 0), (1, -1, 0, 1), (0, 0, 1, 1), (0, 1, -1, 1), (1, -1, 1, 0), (0, 1, 0, -1), (0, 1, 0, 1), (1, 1, 0, 0), (1, -1, -1, 0), (0, 0, -1, 1), (0, 0, 0, 1), (0, 0, 1, 0), (0, -1, 1, 1), (1, -1, 0, 0), (1, 0, 1, -1), (1, 0, 1, 1), (-1, 0, 1, 1), (0, 1, 0, 0), (0, 1, -1, 0), (-1, 1, 1, 0), (-1, 1, 0, 1), (0, 1, 1, -1), (0, 1, 1, 1), (1, 0, -1, -1), (0, -1, 1, 0), (1, 1, 1, 0), (1, 0, -1, 1), (1, 0, 0, -1), (0, 0, 0, 0), (1, 0, 1, 0), (1, 0, 0, 1), (1, 1, 0, -1), (1, 1, 0, 1)}
(5) 1-PS = (1, 1, 1, 1) yields a state with 39 characters
Maximal nonstable state={(0, -1, 0, 1), (1, 1, -1, 0), (0, 1, 1, 0), (1, 0, -1, 0), (0, 0, 1, -1), (1, 0, 0, 0), (1, -1, 0, 1), (0, 0, 1, 1), (0, 1, -1, 1), (1, -1, 1, 0), (0, 1, 0, -1), (0, 1, 0, 1), (1, 1, 0, 0), (0, 0, -1, 1), (0, 0, 0, 1), (0, 0, 1, 0), (0, -1, 1, 1), (1, -1, 0, 0), (1, 0, 1, -1), (1, 0, 1, 1), (-1, 0, 1, 1), (0, 1, 0, 0), (0, 1, -1, 0), (-1, 1, 1, 0), (-1, 1, 0, 1), (0, 1, 1, -1), (0, 1, 1, 1), (0, -1, 1, 0), (1, 1, 1, 0), (1, 0, -1, 1), (1, 0, 0, -1), (-1, 0, 1, 0), (0, 0, 0, 0), (1, 0, 1, 0), (1, 0, 0, 1), (-1, 0, 0, 1), (1, 1, 0, -1), (1, 1, 0, 1), (-1, 1, 0, 0)}
(6) 1-PS = (1, 0, 0, 0) yields a state with 46 characters
Maximal nonstable state={(0, -1, 0, 1), (1, 1, -1, 0), (0, 1, 1, 0), (0, -1, -1, 0), (1, 0, -1, 0), (1, -1, 0, -1), (0, 0, 1, -1), (0, 1, -1, -1), (1, 0, 0, 0), (1, -1, 0, 1), (0, 0, 1, 1), (0, 1, -1, 1), (1, -1, 1, 0), (0, 1, 0, -1), (0, 1, 0, 1), (0, -1, 0, 0), (1, 1, 0, 0), (1, -1, -1, 0), (0, 0, -1, 1), (0, 0, -1, -1), (0, -1, 1, -1), (0, 0, 0, 1), (0, 0, 1, 0), (0, -1, 1, 1), (1, -1, 0, 0), (0, 0, 0, -1), (1, 0, 1, -1), (1, 0, 1, 1), (0, 1, 0, 0), (0, 1, -1, 0), (0, 1, 1, -1), (0, -1, -1, -1), (0, 1, 1, 1), (0, 0, -1, 0), (0, -1, -1, 1), (1, 0, -1, -1), (0, -1, 1, 0), (1, 1, 1, 0), (1, 0, -1, 1), (1, 0, 0, -1), (0, 0, 0, 0), (1, 0, 1, 0), (1, 0, 0, 1), (1, 1, 0, -1), (1, 1, 0, 1), (0, -1, 0, -1)}
(7) 1-PS = (1, 1, 0, 0) yields a state with 42 characters
Maximal nonstable state={(1, 1, -1, 0), (0, 1, 1, 0), (1, 0, -1, 0), (0, 0, 1, -1), (1, -1, 0, -1), (0, 1, -1, -1), (1, 0, 0, 0), (1, -1, 0, 1), (0, 0, 1, 1), (0, 1, -1, 1), (1, -1, 1, 0), (0, 1, 0, -1), (0, 1, 0, 1), (1, 1, 0, 0), (1, -1, -1, 0), (0, 0, -1, 1), (0, 0, -1, -1), (0, 0, 0, 1), (0, 0, 1, 0), (1, -1, 0, 0), (0, 0, 0, -1), (1, 0, 1, -1), (1, 0, 1, 1), (0, 1, 0, 0), (0, 1, -1, 0), (-1, 1, 1, 0), (-1, 1, 0, -1), (-1, 1, 0, 1), (0, 1, 1, -1), (0, 1, 1, 1), (0, 0, -1, 0), (1, 0, -1, -1), (1, 1, 1, 0), (1, 0, -1, 1), (1, 0, 0, -1), (0, 0, 0, 0), (1, 0, 1, 0), (1, 0, 0, 1), (1, 1, 0, -1), (-1, 1, -1, 0), (1, 1, 0, 1), (-1, 1, 0, 0)}
(8) 1-PS = (1, 2/3, 1/3, 1/3) yields a state with 37 characters
Maximal nonstable state={(1, 1, -1, 0), (0, 1, 1, 0), (1, 0, -1, 0), (0, 0, 1, -1), (1, -1, 0, -1), (0, 1, -1, -1), (1, 0, 0, 0), (1, -1, 0, 1), (0, 0, 1, 1), (0, 1, -1, 1), (1, -1, 1, 0), (0, 1, 0, -1), (0, 1, 0, 1), (1, 1, 0, 0), (1, -1, -1, 0), (0, 0, -1, 1), (0, 0, 0, 1), (0, 0, 1, 0), (0, -1, 1, 1), (1, -1, 0, 0), (1, 0, 1, -1), (1, 0, 1, 1), (0, 1, 0, 0), (0, 1, -1, 0), (-1, 1, 1, 0), (-1, 1, 0, 1), (0, 1, 1, -1), (0, 1, 1, 1), (1, 0, -1, -1), (1, 1, 1, 0), (1, 0, -1, 1), (1, 0, 0, -1), (0, 0, 0, 0), (1, 0, 1, 0), (1, 0, 0, 1), (1, 1, 0, -1), (1, 1, 0, 1)}



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SOLUTION TO GIT PROBLEM: UNSTABLE LOCI
**************************************
Group: B4 Representation B4(1,1,1,0)
Set of maximal unstable states:
(1) 1-PS = (1, 4/9, 2/9, 1/9) yields a state with 32 characters
Maximal unstable state={(1, 1, -1, 0), (0, 1, 1, 0), (1, 0, -1, 0), (1, -1, 0, -1), (0, 0, 1, -1), (0, 1, -1, -1), (1, 0, 0, 0), (0, 0, 1, 1), (1, -1, 0, 1), (0, 1, -1, 1), (1, -1, 1, 0), (0, 1, 0, -1), (0, 1, 0, 1), (1, 1, 0, 0), (1, -1, -1, 0), (0, 0, 0, 1), (1, -1, 0, 0), (1, 0, 1, -1), (0, 0, 1, 0), (1, 0, 1, 1), (0, 1, 0, 0), (0, 1, -1, 0), (0, 1, 1, -1), (0, 1, 1, 1), (1, 0, -1, -1), (1, 1, 1, 0), (1, 0, 1, 0), (1, 0, -1, 1), (1, 0, 0, -1), (1, 0, 0, 1), (1, 1, 0, -1), (1, 1, 0, 1)}
(2) 1-PS = (1, 6/7, 3/7, 2/7) yields a state with 32 characters
Maximal unstable state={(1, 1, -1, 0), (0, 1, 1, 0), (1, 0, -1, 0), (0, 0, 1, -1), (0, 1, -1, -1), (1, 0, 0, 0), (0, 0, 1, 1), (1, -1, 0, 1), (0, 1, -1, 1), (1, -1, 1, 0), (0, 1, 0, -1), (0, 1, 0, 1), (1, 1, 0, 0), (0, 0, 0, 1), (1, -1, 0, 0), (1, 0, 1, -1), (0, 0, 1, 0), (1, 0, 1, 1), (0, 1, 0, 0), (0, 1, -1, 0), (-1, 1, 1, 0), (-1, 1, 0, 1), (0, 1, 1, -1), (0, 1, 1, 1), (1, 0, -1, -1), (1, 1, 1, 0), (1, 0, 1, 0), (1, 0, -1, 1), (1, 0, 0, -1), (1, 0, 0, 1), (1, 1, 0, -1), (1, 1, 0, 1)}
(3) 1-PS = (1, 5/8, 1/2, 1/4) yields a state with 32 characters
Maximal unstable state={(1, 1, -1, 0), (0, 1, 1, 0), (1, 0, -1, 0), (1, -1, 0, -1), (0, 0, 1, -1), (1, 0, 0, 0), (0, 0, 1, 1), (1, -1, 0, 1), (0, 1, -1, 1), (1, -1, 1, 0), (0, 1, 0, -1), (0, 1, 0, 1), (1, 1, 0, 0), (0, 0, 0, 1), (1, -1, 0, 0), (1, 0, 1, -1), (0, 0, 1, 0), (0, -1, 1, 1), (1, 0, 1, 1), (0, 1, 0, 0), (0, 1, -1, 0), (-1, 1, 1, 0), (0, 1, 1, -1), (0, 1, 1, 1), (1, 0, -1, -1), (1, 1, 1, 0), (1, 0, 1, 0), (1, 0, -1, 1), (1, 0, 0, -1), (1, 0, 0, 1), (1, 1, 0, -1), (1, 1, 0, 1)}
(4) 1-PS = (1, 3/4, 1/2, 1/8) yields a state with 32 characters
Maximal unstable state={(1, 1, -1, 0), (0, 1, 1, 0), (1, 0, -1, 0), (1, -1, 0, -1), (0, 0, 1, -1), (0, 1, -1, -1), (1, 0, 0, 0), (0, 0, 1, 1), (1, -1, 0, 1), (0, 1, -1, 1), (1, -1, 1, 0), (0, 1, 0, -1), (0, 1, 0, 1), (1, 1, 0, 0), (0, 0, 0, 1), (1, -1, 0, 0), (1, 0, 1, -1), (0, 0, 1, 0), (1, 0, 1, 1), (0, 1, 0, 0), (0, 1, -1, 0), (-1, 1, 1, 0), (0, 1, 1, -1), (0, 1, 1, 1), (1, 0, -1, -1), (1, 1, 1, 0), (1, 0, 1, 0), (1, 0, -1, 1), (1, 0, 0, -1), (1, 0, 0, 1), (1, 1, 0, -1), (1, 1, 0, 1)}
(5) 1-PS = (1, 5/6, 2/3, 1/2) yields a state with 32 characters
Maximal unstable state={(1, 1, -1, 0), (0, 1, 1, 0), (1, 0, -1, 0), (0, 0, 1, -1), (1, 0, 0, 0), (0, 0, 1, 1), (1, -1, 0, 1), (0, 1, -1, 1), (1, -1, 1, 0), (0, 1, 0, -1), (0, 1, 0, 1), (1, 1, 0, 0), (0, 0, 0, 1), (1, -1, 0, 0), (1, 0, 1, -1), (0, 0, 1, 0), (0, -1, 1, 1), (1, 0, 1, 1), (-1, 0, 1, 1), (0, 1, 0, 0), (0, 1, -1, 0), (-1, 1, 1, 0), (-1, 1, 0, 1), (0, 1, 1, -1), (0, 1, 1, 1), (1, 1, 1, 0), (1, 0, 1, 0), (1, 0, -1, 1), (1, 0, 0, -1), (1, 0, 0, 1), (1, 1, 0, -1), (1, 1, 0, 1)}
(6) 1-PS = (1, 3/4, 1/2, 3/8) yields a state with 32 characters
Maximal unstable state={(1, 1, -1, 0), (0, 1, 1, 0), (1, 0, -1, 0), (0, 0, 1, -1), (1, 0, 0, 0), (0, 0, 1, 1), (1, -1, 0, 1), (0, 1, -1, 1), (1, -1, 1, 0), (0, 1, 0, -1), (0, 1, 0, 1), (1, 1, 0, 0), (0, 0, 0, 1), (1, -1, 0, 0), (1, 0, 1, -1), (0, 0, 1, 0), (0, -1, 1, 1), (1, 0, 1, 1), (0, 1, 0, 0), (0, 1, -1, 0), (-1, 1, 1, 0), (-1, 1, 0, 1), (0, 1, 1, -1), (0, 1, 1, 1), (1, 0, -1, -1), (1, 1, 1, 0), (1, 0, 1, 0), (1, 0, -1, 1), (1, 0, 0, -1), (1, 0, 0, 1), (1, 1, 0, -1), (1, 1, 0, 1)}
(7) 1-PS = (1, 1/2, 3/8, 1/4) yields a state with 32 characters
Maximal unstable state={(1, 1, -1, 0), (0, 1, 1, 0), (1, 0, -1, 0), (1, -1, 0, -1), (0, 0, 1, -1), (1, 0, 0, 0), (0, 0, 1, 1), (1, -1, 0, 1), (0, 1, -1, 1), (1, -1, 1, 0), (0, 1, 0, -1), (0, 1, 0, 1), (1, 1, 0, 0), (1, -1, -1, 0), (0, 0, 0, 1), (1, -1, 0, 0), (1, 0, 1, -1), (0, 0, 1, 0), (0, -1, 1, 1), (1, 0, 1, 1), (0, 1, 0, 0), (0, 1, -1, 0), (0, 1, 1, -1), (0, 1, 1, 1), (1, 0, -1, -1), (1, 1, 1, 0), (1, 0, 1, 0), (1, 0, -1, 1), (1, 0, 0, -1), (1, 0, 0, 1), (1, 1, 0, -1), (1, 1, 0, 1)}