further simplified function definitions
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@@ -1,34 +1,34 @@
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_rot01(x::Tuple{Int64, Int64, Int64}) = ( x[1], x[2], x[3])
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_rot02(x::Tuple{Int64, Int64, Int64}) = ( x[2], x[3], x[1])
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_rot03(x::Tuple{Int64, Int64, Int64}) = ( x[3], x[1], x[2])
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_rot01(x) = ( x[1], x[2], x[3])
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_rot02(x) = ( x[2], x[3], x[1])
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_rot03(x) = ( x[3], x[1], x[2])
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_rot04(x::Tuple{Int64, Int64, Int64}) = ( x[1], -x[2], -x[3])
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_rot05(x::Tuple{Int64, Int64, Int64}) = ( x[2], -x[3], -x[1])
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_rot06(x::Tuple{Int64, Int64, Int64}) = ( x[3], -x[1], -x[2])
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_rot04(x) = ( x[1], -x[2], -x[3])
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_rot05(x) = ( x[2], -x[3], -x[1])
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_rot06(x) = ( x[3], -x[1], -x[2])
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_rot07(x::Tuple{Int64, Int64, Int64}) = (-x[1], x[2], -x[3])
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_rot08(x::Tuple{Int64, Int64, Int64}) = (-x[2], x[3], -x[1])
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_rot09(x::Tuple{Int64, Int64, Int64}) = (-x[3], x[1], -x[2])
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_rot07(x) = (-x[1], x[2], -x[3])
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_rot08(x) = (-x[2], x[3], -x[1])
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_rot09(x) = (-x[3], x[1], -x[2])
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_rot10(x::Tuple{Int64, Int64, Int64}) = (-x[1], -x[2], x[3])
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_rot11(x::Tuple{Int64, Int64, Int64}) = (-x[2], -x[3], x[1])
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_rot12(x::Tuple{Int64, Int64, Int64}) = (-x[3], -x[1], x[2])
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_rot10(x) = (-x[1], -x[2], x[3])
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_rot11(x) = (-x[2], -x[3], x[1])
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_rot12(x) = (-x[3], -x[1], x[2])
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_rot13(x::Tuple{Int64, Int64, Int64}) = (-x[3], x[2], x[1])
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_rot14(x::Tuple{Int64, Int64, Int64}) = (-x[2], x[1], x[3])
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_rot15(x::Tuple{Int64, Int64, Int64}) = (-x[1], x[3], x[2])
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_rot13(x) = (-x[3], x[2], x[1])
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_rot14(x) = (-x[2], x[1], x[3])
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_rot15(x) = (-x[1], x[3], x[2])
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_rot16(x::Tuple{Int64, Int64, Int64}) = ( x[3], -x[2], x[1])
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_rot17(x::Tuple{Int64, Int64, Int64}) = ( x[2], -x[1], x[3])
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_rot18(x::Tuple{Int64, Int64, Int64}) = ( x[1], -x[3], x[2])
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_rot16(x) = ( x[3], -x[2], x[1])
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_rot17(x) = ( x[2], -x[1], x[3])
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_rot18(x) = ( x[1], -x[3], x[2])
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_rot19(x::Tuple{Int64, Int64, Int64}) = ( x[3], x[2], -x[1])
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_rot20(x::Tuple{Int64, Int64, Int64}) = ( x[2], x[1], -x[3])
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_rot21(x::Tuple{Int64, Int64, Int64}) = ( x[1], x[3], -x[2])
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_rot19(x) = ( x[3], x[2], -x[1])
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_rot20(x) = ( x[2], x[1], -x[3])
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_rot21(x) = ( x[1], x[3], -x[2])
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_rot22(x::Tuple{Int64, Int64, Int64}) = (-x[3], -x[2], -x[1])
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_rot23(x::Tuple{Int64, Int64, Int64}) = (-x[2], -x[1], -x[3])
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_rot24(x::Tuple{Int64, Int64, Int64}) = (-x[1], -x[3], -x[2])
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_rot22(x) = (-x[3], -x[2], -x[1])
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_rot23(x) = (-x[2], -x[1], -x[3])
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_rot24(x) = (-x[1], -x[3], -x[2])
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const global Rotations = (;
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_rot01,
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