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LittleGroupIrepData.wl
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LittleGroupIrepData.wl
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BeginPackage["LittleGroupIrepData`"]
LGIrep::usage="LGIrep[sgno] gives the irep information of space group sgno in the BC Tab. 5.7.";
DLGIrep::usage="DLGIrep[sgno] gives the irep information of double space group sgno in the BC Tab. 6.13.";
LGIrep=<||>;
LGIrep[1]=<|
"\[CapitalGamma]"->{{1, 1}, {{"E", {0, 0, 0}}}, {{1, 1}}, "a"},
"B"->{{1, 1}, {{"E", {0, 0, 0}}}, {{1, 1}}, "a"},
"F"->{{1, 1}, {{"E", {0, 0, 0}}}, {{1, 1}}, "a"},
"G"->{{1, 1}, {{"E", {0, 0, 0}}}, {{1, 1}}, "a"}
|>;
LGIrep[2]=<|
"\[CapitalGamma]"->{{2, 1}, {{"I", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "a"},
"B"->{{2, 1}, {{"I", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "a"},
"F"->{{2, 1}, {{"I", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "a"},
"G"->{{2, 1}, {{"I", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "a"}
|>;
LGIrep[3]=<|
"\[CapitalGamma]"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"B"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"Y"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"Z"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"C"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"D"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"A"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"E"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"\[CapitalLambda]"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"},
"V"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"},
"W"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"},
"U"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"}
|>;
LGIrep[4]=<|
"\[CapitalGamma]"->{{2, 1}, {{"C2z", {0, 0, 1/2}}}, {{1, 1}, {2, 1}}, "b"},
"B"->{{2, 1}, {{"C2z", {0, 0, 1/2}}}, {{1, 1}, {2, 1}}, "b"},
"Y"->{{2, 1}, {{"C2z", {0, 0, 1/2}}}, {{1, 1}, {2, 1}}, "b"},
"Z"->{{4, 1}, {{"C2z", {0, 0, 1/2}}}, {{2, 3}, {4, 3}}, "a"},
"C"->{{4, 1}, {{"C2z", {0, 0, 1/2}}}, {{2, 3}, {4, 3}}, "a"},
"D"->{{4, 1}, {{"C2z", {0, 0, 1/2}}}, {{2, 3}, {4, 3}}, "a"},
"A"->{{2, 1}, {{"C2z", {0, 0, 1/2}}}, {{1, 1}, {2, 1}}, "b"},
"E"->{{4, 1}, {{"C2z", {0, 0, 1/2}}}, {{2, 3}, {4, 3}}, "a"},
"\[CapitalLambda]"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"},
"V"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"},
"W"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"},
"U"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"}
|>;
LGIrep[5]=<|
"\[CapitalGamma]"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"A"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"Z"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"M"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"L"->{{1, 1}, {{"E", {0, 0, 0}}}, {{1, 1}}, "a"},
"V"->{{1, 1}, {{"E", {0, 0, 0}}}, {{1, 1}}, "a"},
"\[CapitalLambda]"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"},
"U"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"}
|>;
LGIrep[6]=<|
"\[CapitalGamma]"->{{2, 1}, {{"\[Sigma]z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"B"->{{2, 1}, {{"\[Sigma]z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"Y"->{{2, 1}, {{"\[Sigma]z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"Z"->{{2, 1}, {{"\[Sigma]z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{2, 1}, {{"\[Sigma]z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"A"->{{2, 1}, {{"\[Sigma]z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"E"->{{2, 1}, {{"\[Sigma]z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalLambda]"->{{1, 1}, {{"E", 0}}, {{1, 1}}, "a"},
"V"->{{1, 1}, {{"E", 0}}, {{1, 1}}, "a"},
"W"->{{1, 1}, {{"E", 0}}, {{1, 1}}, "a"},
"U"->{{1, 1}, {{"E", 0}}, {{1, 1}}, "a"}
|>;
LGIrep[7]=<|
"\[CapitalGamma]"->{{2, 1}, {{"\[Sigma]z", {1/2, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"B"->{{4, 1}, {{"\[Sigma]z", {1/2, 0, 0}}}, {{2, 3}, {4, 3}}, "a"},
"Y"->{{2, 1}, {{"\[Sigma]z", {1/2, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"Z"->{{2, 1}, {{"\[Sigma]z", {1/2, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]z", {1/2, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{4, 1}, {{"\[Sigma]z", {1/2, 0, 0}}}, {{2, 3}, {4, 3}}, "a"},
"A"->{{4, 1}, {{"\[Sigma]z", {1/2, 0, 0}}}, {{2, 3}, {4, 3}}, "a"},
"E"->{{4, 1}, {{"\[Sigma]z", {1/2, 0, 0}}}, {{2, 3}, {4, 3}}, "a"},
"\[CapitalLambda]"->{{1, 1}, {{"E", 0}}, {{1, 1}}, "a"},
"V"->{{1, 1}, {{"E", 0}}, {{1, 2}}, "a"},
"W"->{{1, 1}, {{"E", 0}}, {{1, 1}}, "a"},
"U"->{{1, 1}, {{"E", 0}}, {{1, 2}}, "a"}
|>;
LGIrep[8]=<|
"\[CapitalGamma]"->{{2, 1}, {{"\[Sigma]z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"A"->{{2, 1}, {{"\[Sigma]z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"Z"->{{2, 1}, {{"\[Sigma]z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"M"->{{2, 1}, {{"\[Sigma]z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"L"->{{1, 1}, {{"E", {0, 0, 0}}}, {{1, 1}}, "a"},
"V"->{{1, 1}, {{"E", {0, 0, 0}}}, {{1, 1}}, "a"},
"\[CapitalLambda]"->{{1, 1}, {{"E", 0}}, {{1, 1}}, "a"},
"U"->{{1, 1}, {{"E", 0}}, {{1, 1}}, "a"}
|>;
LGIrep[9]=<|
"\[CapitalGamma]"->{{2, 1}, {{"\[Sigma]z", {1/2, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"A"->{{4, 1}, {{"\[Sigma]z", {1/2, 0, 0}}}, {{2, 3}, {4, 3}}, "a"},
"Z"->{{2, 1}, {{"\[Sigma]z", {1/2, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"M"->{{4, 1}, {{"\[Sigma]z", {1/2, 0, 0}}}, {{2, 3}, {4, 3}}, "a"},
"L"->{{1, 1}, {{"E", {0, 0, 0}}}, {{1, 1}}, "a"},
"V"->{{1, 1}, {{"E", {0, 0, 0}}}, {{1, 1}}, "a"},
"\[CapitalLambda]"->{{1, 1}, {{"E", 0}}, {{1, 1}}, "a"},
"U"->{{1, 1}, {{"E", 0}}, {{1, 2}}, "a"}
|>;
LGIrep[10]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"B"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"Y"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"Z"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"C"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"D"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"A"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"E"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"\[CapitalLambda]"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"V"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"W"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"U"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"}
|>;
LGIrep[11]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"I", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"B"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"I", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"Y"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"I", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"Z"->{{8, 4}, {{"C2z", {0, 0, 1/2}}, {"I", {0, 0, 1/2}}}, {{5, 1}}, "a"},
"C"->{{8, 4}, {{"C2z", {0, 0, 1/2}}, {"I", {0, 0, 1/2}}}, {{5, 1}}, "a"},
"D"->{{8, 4}, {{"C2z", {0, 0, 1/2}}, {"I", {0, 0, 1/2}}}, {{5, 1}}, "a"},
"A"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"I", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"E"->{{8, 4}, {{"C2z", {0, 0, 1/2}}, {"I", {0, 0, 1/2}}}, {{5, 1}}, "a"},
"\[CapitalLambda]"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"V"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"W"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"U"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"}
|>;
LGIrep[12]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"A"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"Z"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"M"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"L"->{{2, 1}, {{"I", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "a"},
"V"->{{2, 1}, {{"I", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "a"},
"\[CapitalLambda]"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"U"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"}
|>;
LGIrep[13]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"I", {1/2, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"B"->{{8, 4}, {{"\[Sigma]z", {1/2, 0, 0}}, {"I", {1/2, 0, 0}}}, {{5, 1}}, "a"},
"Y"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"I", {1/2, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"Z"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"I", {1/2, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"C"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"I", {1/2, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"D"->{{8, 4}, {{"\[Sigma]z", {1/2, 0, 0}}, {"I", {1/2, 0, 0}}}, {{5, 1}}, "a"},
"A"->{{8, 4}, {{"\[Sigma]z", {1/2, 0, 0}}, {"I", {1/2, 0, 0}}}, {{5, 1}}, "a"},
"E"->{{8, 4}, {{"\[Sigma]z", {1/2, 0, 0}}, {"I", {1/2, 0, 0}}}, {{5, 1}}, "a"},
"\[CapitalLambda]"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"V"->{{2, 1}, {{"C2z", 0}}, {{1, 3}, {2, 3}}, "b"},
"W"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"U"->{{2, 1}, {{"C2z", 0}}, {{1, 3}, {2, 3}}, "b"}
|>;
LGIrep[14]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"I", {1/2, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"B"->{{8, 4}, {{"\[Sigma]z", {1/2, 0, 0}}, {"I", {1/2, 0, 1/2}}}, {{5, 1}}, "a"},
"Y"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"I", {1/2, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"Z"->{{8, 4}, {{"C2z", {0, 0, 1/2}}, {"I", {1/2, 0, 1/2}}}, {{5, 1}}, "a"},
"C"->{{8, 4}, {{"C2z", {0, 0, 1/2}}, {"I", {1/2, 0, 1/2}}}, {{5, 1}}, "a"},
"D"->{{8, 2}, {{"C2z", {0, 0, 1/2}}, {"I", {1/2, 0, 1/2}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "a"},
"A"->{{8, 4}, {{"\[Sigma]z", {1/2, 0, 0}}, {"I", {1/2, 0, 1/2}}}, {{5, 1}}, "a"},
"E"->{{8, 2}, {{"C2z", {0, 0, 1/2}}, {"I", {1/2, 0, 1/2}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "a"},
"\[CapitalLambda]"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"V"->{{2, 1}, {{"C2z", 0}}, {{1, 3}, {2, 3}}, "b"},
"W"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"U"->{{2, 1}, {{"C2z", 0}}, {{1, 3}, {2, 3}}, "b"}
|>;
LGIrep[15]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"I", {1/2, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"A"->{{8, 4}, {{"\[Sigma]z", {1/2, 0, 0}}, {"I", {1/2, 0, 0}}}, {{5, 1}}, "a"},
"Z"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"I", {1/2, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "a"},
"M"->{{8, 4}, {{"\[Sigma]z", {1/2, 0, 0}}, {"I", {1/2, 0, 0}}}, {{5, 1}}, "a"},
"L"->{{2, 1}, {{"I", {1/2, 0, 0}}}, {{1, 1}, {2, 1}}, "a"},
"V"->{{2, 1}, {{"I", {1/2, 0, 0}}}, {{1, 1}, {2, 1}}, "a"},
"\[CapitalLambda]"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"U"->{{2, 1}, {{"C2z", 0}}, {{1, 3}, {2, 3}}, "b"}
|>;
LGIrep[16]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"Y"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"X"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"Z"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"U"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"T"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"S"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"R"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"\[CapitalDelta]"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"D"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"P"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"B"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"\[CapitalSigma]"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"C"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"E"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"A"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"\[CapitalLambda]"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"H"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"Q"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"G"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"}
|>;
LGIrep[17]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"Y"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"X"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"Z"->{{8, 4}, {{"C2z", {0, 0, 1/2}}, {"C2y", {0, 0, 0}}}, {{5, 1}}, "a"},
"U"->{{8, 4}, {{"C2z", {0, 0, 1/2}}, {"C2y", {0, 0, 0}}}, {{5, 1}}, "a"},
"T"->{{8, 4}, {{"C2z", {0, 0, 1/2}}, {"C2y", {0, 0, 0}}}, {{5, 1}}, "a"},
"S"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"R"->{{8, 4}, {{"C2z", {0, 0, 1/2}}, {"C2y", {0, 0, 0}}}, {{5, 1}}, "a"},
"\[CapitalDelta]"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"D"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"P"->{{2, 1}, {{"C2y", 0}}, {{1, 3}, {2, 3}}, "b"},
"B"->{{2, 1}, {{"C2y", 0}}, {{1, 3}, {2, 3}}, "b"},
"\[CapitalSigma]"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"C"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"E"->{{4, 1}, {{"C2x", 0}}, {{2, 3}, {4, 3}}, "a"},
"A"->{{4, 1}, {{"C2x", 0}}, {{2, 3}, {4, 3}}, "a"},
"\[CapitalLambda]"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"H"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"Q"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"G"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"}
|>;
LGIrep[18]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {1/2, 1/2, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"Y"->{{8, 4}, {{"C2y", {1/2, 1/2, 0}}, {"C2z", {0, 0, 0}}}, {{5, 1}}, "a"},
"X"->{{8, 4}, {{"C2x", {1/2, 1/2, 0}}, {"C2z", {0, 0, 0}}}, {{5, 1}}, "a"},
"Z"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {1/2, 1/2, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"U"->{{8, 4}, {{"C2x", {1/2, 1/2, 0}}, {"C2z", {0, 0, 0}}}, {{5, 1}}, "a"},
"T"->{{8, 4}, {{"C2y", {1/2, 1/2, 0}}, {"C2z", {0, 0, 0}}}, {{5, 1}}, "a"},
"S"->{{8, 2}, {{"C2y", {1/2, 1/2, 0}}, {"C2z", {0, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"R"->{{8, 2}, {{"C2y", {1/2, 1/2, 0}}, {"C2z", {0, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"\[CapitalDelta]"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"D"->{{4, 1}, {{"C2y", 0}}, {{2, 3}, {4, 3}}, "a"},
"P"->{{4, 1}, {{"C2y", 0}}, {{2, 3}, {4, 3}}, "a"},
"B"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"\[CapitalSigma]"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"C"->{{4, 1}, {{"C2x", 0}}, {{2, 3}, {4, 3}}, "a"},
"E"->{{4, 1}, {{"C2x", 0}}, {{2, 3}, {4, 3}}, "a"},
"A"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"\[CapitalLambda]"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"H"->{{2, 1}, {{"C2z", 0}}, {{1, 3}, {2, 3}}, "b"},
"Q"->{{2, 1}, {{"C2z", 0}}, {{1, 2}, {2, 2}}, "b"},
"G"->{{2, 1}, {{"C2z", 0}}, {{1, 3}, {2, 3}}, "b"}
|>;
LGIrep[19]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {1/2, 0, 1/2}}, {"C2y", {1/2, 1/2, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"Y"->{{8, 4}, {{"C2y", {1/2, 1/2, 0}}, {"C2z", {1/2, 0, 1/2}}}, {{5, 1}}, "a"},
"X"->{{8, 4}, {{"C2x", {0, 1/2, 1/2}}, {"C2z", {1/2, 0, 1/2}}}, {{5, 1}}, "a"},
"Z"->{{8, 4}, {{"C2z", {1/2, 0, 1/2}}, {"C2x", {0, 1/2, 1/2}}}, {{5, 1}}, "a"},
"U"->{{8, 2}, {{"C2z", {1/2, 0, 1/2}}, {"C2y", {1/2, 1/2, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"T"->{{8, 2}, {{"C2z", {1/2, 0, 1/2}}, {"C2x", {0, 1/2, 1/2}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"S"->{{8, 2}, {{"C2x", {0, 1/2, 1/2}}, {"C2z", {1/2, 0, 1/2}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"R"->{{8, 5}, {{"C2z", {1/2, 0, 1/2}}, {"C2y", {1/2, 1/2, 0}}}, {{5, 2}}, "a"},
"\[CapitalDelta]"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"D"->{{4, 1}, {{"C2y", 0}}, {{2, 3}, {4, 3}}, "a"},
"P"->{{4, 1}, {{"C2y", 0}}, {{2, 2}, {4, 2}}, "a"},
"B"->{{2, 1}, {{"C2y", 0}}, {{1, 3}, {2, 3}}, "b"},
"\[CapitalSigma]"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"C"->{{2, 1}, {{"C2x", 0}}, {{1, 3}, {2, 3}}, "b"},
"E"->{{4, 1}, {{"C2x", 0}}, {{2, 2}, {4, 2}}, "a"},
"A"->{{4, 1}, {{"C2x", 0}}, {{2, 3}, {4, 3}}, "a"},
"\[CapitalLambda]"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"H"->{{4, 1}, {{"C2z", 0}}, {{2, 3}, {4, 3}}, "a"},
"Q"->{{4, 1}, {{"C2z", 0}}, {{2, 2}, {4, 2}}, "a"},
"G"->{{2, 1}, {{"C2z", 0}}, {{1, 3}, {2, 3}}, "b"}
|>;
LGIrep[20]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"C2y", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"Y"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"C2y", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"Z"->{{8, 4}, {{"C2z", {0, 0, 1/2}}, {"C2x", {0, 0, 0}}}, {{5, 1}}, "a"},
"T"->{{8, 4}, {{"C2z", {0, 0, 1/2}}, {"C2x", {0, 0, 0}}}, {{5, 1}}, "a"},
"S"->{{2, 1}, {{"C2z", {0, 0, 1/2}}}, {{1, 1}, {2, 1}}, "b"},
"R"->{{4, 1}, {{"C2z", {0, 0, 1/2}}}, {{2, 3}, {4, 3}}, "a"},
"\[CapitalLambda]"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"H"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"D"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"},
"A"->{{2, 1}, {{"C2x", 0}}, {{1, 3}, {2, 3}}, "b"},
"\[CapitalSigma]"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"\[CapitalDelta]"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"B"->{{4, 1}, {{"C2y", 0}}, {{2, 3}, {4, 3}}, "a"},
"G"->{{4, 1}, {{"C2y", 0}}, {{2, 3}, {4, 3}}, "a"},
"F"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"E"->{{2, 1}, {{"C2x", 0}}, {{1, 3}, {2, 3}}, "b"},
"C"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"}
|>;
LGIrep[21]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"Y"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"Z"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2x", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"T"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2x", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"S"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"R"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"\[CapitalLambda]"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"H"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"D"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"},
"A"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"\[CapitalSigma]"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"\[CapitalDelta]"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"B"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"G"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"F"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"E"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"C"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"}
|>;
LGIrep[22]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"Y"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"X"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"Z"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"L"->{{1, 1}, {{"E", {0, 0, 0}}}, {{1, 1}}, "a"},
"\[CapitalLambda]"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"G"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"H"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"Q"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"\[CapitalSigma]"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"C"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"A"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"U"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"\[CapitalDelta]"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"D"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"B"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"R"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"}
|>;
LGIrep[23]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"X"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"R"->{{2, 1}, {{"C2y", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"S"->{{2, 1}, {{"C2x", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"T"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"W"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "b"},
"\[CapitalLambda]"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"G"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"P"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"},
"\[CapitalSigma]"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"F"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"D"->{{2, 1}, {{"C2x", 0}}, {{1, "x"}, {2, "x"}}, "b"},
"\[CapitalDelta]"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"U"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"Q"->{{2, 1}, {{"C2y", 0}}, {{1, "x"}, {2, "x"}}, "b"}
|>;
LGIrep[24]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {1/2, 0, 1/2}}, {"C2y", {1/2, 1/2, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"X"->{{4, 2}, {{"C2z", {1/2, 0, 1/2}}, {"C2y", {1/2, 1/2, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "b"},
"R"->{{2, 1}, {{"C2y", {1/2, 1/2, 0}}}, {{1, 1}, {2, 1}}, "b"},
"S"->{{2, 1}, {{"C2x", {0, 1/2, 1/2}}}, {{1, 1}, {2, 1}}, "b"},
"T"->{{2, 1}, {{"C2z", {1/2, 0, 1/2}}}, {{1, 1}, {2, 1}}, "b"},
"W"->{{16, 7}, {{"E", {1, 0, 0}}, {"C2z", {1/2, 0, 1/2}}, {"C2y", {1/2, 1/2, 0}}}, {{9, "x"}}, "f"},
"\[CapitalLambda]"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"G"->{{2, 1}, {{"C2z", 0}}, {{1, 1}, {2, 1}}, "b"},
"P"->{{4, 1}, {{"C2z", 0}}, {{2, "x"}, {4, "x"}}, "a"},
"\[CapitalSigma]"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"F"->{{2, 1}, {{"C2x", 0}}, {{1, 1}, {2, 1}}, "b"},
"D"->{{4, 1}, {{"C2x", 0}}, {{2, "x"}, {4, "x"}}, "a"},
"\[CapitalDelta]"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"U"->{{2, 1}, {{"C2y", 0}}, {{1, 1}, {2, 1}}, "b"},
"Q"->{{4, 1}, {{"C2y", 0}}, {{2, "x"}, {4, "x"}}, "a"}
|>;
LGIrep[25]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"X"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Z"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"U"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"T"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"S"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"R"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"\[CapitalDelta]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"P"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"B"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"E"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"A"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"H"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"Q"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"G"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"}
|>;
LGIrep[26]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"\[Sigma]y", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"\[Sigma]y", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"X"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"\[Sigma]y", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Z"->{{8, 2}, {{"C2z", {0, 0, 1/2}}, {"\[Sigma]x", {0, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "c"},
"U"->{{8, 2}, {{"C2z", {0, 0, 1/2}}, {"\[Sigma]x", {0, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "c"},
"T"->{{8, 2}, {{"C2z", {0, 0, 1/2}}, {"\[Sigma]x", {0, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "c"},
"S"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"\[Sigma]y", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"R"->{{8, 2}, {{"C2z", {0, 0, 1/2}}, {"\[Sigma]x", {0, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "c"},
"\[CapitalDelta]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"P"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 2}, {2, 2}}, "c"},
"B"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 2}, {2, 2}}, "c"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"E"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"A"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"H"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"Q"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"G"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"}
|>;
LGIrep[27]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"X"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Z"->{{8, 2}, {{"\[Sigma]y", {0, 0, 1/2}}, {"C2z", {0, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"U"->{{8, 2}, {{"\[Sigma]y", {0, 0, 1/2}}, {"C2z", {0, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"T"->{{8, 2}, {{"\[Sigma]y", {0, 0, 1/2}}, {"C2z", {0, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"S"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"R"->{{8, 2}, {{"\[Sigma]y", {0, 0, 1/2}}, {"C2z", {0, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"\[CapitalDelta]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"P"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 3}, {2, 3}}, "c"},
"B"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 3}, {2, 3}}, "c"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"E"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"A"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"H"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"Q"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"G"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"}
|>;
LGIrep[28]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {1/2, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{8, 4}, {{"\[Sigma]x", {1/2, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{5, 1}}, "a"},
"X"->{{4, 2}, {{"C2z", {1/2, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Z"->{{4, 2}, {{"C2z", {1/2, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"U"->{{4, 2}, {{"C2z", {1/2, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"T"->{{8, 4}, {{"\[Sigma]x", {1/2, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{5, 1}}, "a"},
"S"->{{8, 4}, {{"\[Sigma]x", {1/2, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{5, 1}}, "a"},
"R"->{{8, 4}, {{"\[Sigma]x", {1/2, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{5, 1}}, "a"},
"\[CapitalDelta]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"P"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"B"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"E"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"A"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"H"->{{8, 4}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{5, "x"}}, "a"},
"Q"->{{8, 4}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{5, "x"}}, "a"},
"G"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"}
|>;
LGIrep[29]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {1/2, 0, 1/2}}, {"\[Sigma]y", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{8, 4}, {{"\[Sigma]x", {1/2, 0, 0}}, {"C2z", {1/2, 0, 1/2}}}, {{5, 1}}, "a"},
"X"->{{4, 2}, {{"C2z", {1/2, 0, 1/2}}, {"\[Sigma]y", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Z"->{{8, 2}, {{"C2z", {1/2, 0, 1/2}}, {"\[Sigma]x", {1/2, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "c"},
"U"->{{8, 2}, {{"C2z", {1/2, 0, 1/2}}, {"\[Sigma]x", {1/2, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "c"},
"T"->{{8, 5}, {{"C2z", {1/2, 0, 1/2}}, {"\[Sigma]y", {0, 0, 1/2}}}, {{5, 2}}, "a"},
"S"->{{8, 4}, {{"\[Sigma]x", {1/2, 0, 0}}, {"C2z", {1/2, 0, 1/2}}}, {{5, 1}}, "a"},
"R"->{{8, 5}, {{"C2z", {1/2, 0, 1/2}}, {"\[Sigma]y", {0, 0, 1/2}}}, {{5, 2}}, "a"},
"\[CapitalDelta]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"P"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 2}, {2, 2}}, "c"},
"B"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 2}, {2, 2}}, "c"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"E"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 2}, {2, 2}}, "c"},
"A"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"H"->{{8, 4}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{5, "x"}}, "a"},
"Q"->{{8, 4}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{5, "x"}}, "a"},
"G"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"}
|>;
LGIrep[30]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {1/2, 0, 0}}, {"\[Sigma]y", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{8, 4}, {{"\[Sigma]x", {1/2, 0, 1/2}}, {"\[Sigma]y", {0, 0, 1/2}}}, {{5, 1}}, "a"},
"X"->{{4, 2}, {{"C2z", {1/2, 0, 0}}, {"\[Sigma]y", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Z"->{{8, 2}, {{"\[Sigma]x", {1/2, 0, 1/2}}, {"C2z", {1/2, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"U"->{{8, 2}, {{"\[Sigma]x", {1/2, 0, 1/2}}, {"C2z", {1/2, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"T"->{{8, 4}, {{"\[Sigma]y", {0, 0, 1/2}}, {"C2z", {1/2, 0, 0}}}, {{5, 1}}, "a"},
"S"->{{8, 4}, {{"\[Sigma]x", {1/2, 0, 1/2}}, {"\[Sigma]y", {0, 0, 1/2}}}, {{5, 1}}, "a"},
"R"->{{8, 4}, {{"\[Sigma]y", {0, 0, 1/2}}, {"C2z", {1/2, 0, 0}}}, {{5, 1}}, "a"},
"\[CapitalDelta]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"P"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 3}, {2, 3}}, "c"},
"B"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 3}, {2, 3}}, "c"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"E"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"A"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"H"->{{8, 4}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{5, "x"}}, "a"},
"Q"->{{8, 4}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{5, "x"}}, "a"},
"G"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"}
|>;
LGIrep[31]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {1/2, 0, 1/2}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{8, 4}, {{"\[Sigma]x", {1/2, 0, 1/2}}, {"\[Sigma]y", {0, 0, 0}}}, {{5, 1}}, "a"},
"X"->{{4, 2}, {{"C2z", {1/2, 0, 1/2}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Z"->{{8, 2}, {{"C2z", {1/2, 0, 1/2}}, {"\[Sigma]y", {0, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "c"},
"U"->{{8, 2}, {{"C2z", {1/2, 0, 1/2}}, {"\[Sigma]y", {0, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "c"},
"T"->{{8, 4}, {{"C2z", {1/2, 0, 1/2}}, {"\[Sigma]y", {0, 0, 0}}}, {{5, 1}}, "a"},
"S"->{{8, 4}, {{"\[Sigma]x", {1/2, 0, 1/2}}, {"\[Sigma]y", {0, 0, 0}}}, {{5, 1}}, "a"},
"R"->{{8, 4}, {{"C2z", {1/2, 0, 1/2}}, {"\[Sigma]y", {0, 0, 0}}}, {{5, 1}}, "a"},
"\[CapitalDelta]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"P"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 3}, {2, 3}}, "c"},
"B"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 3}, {2, 3}}, "c"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"E"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"A"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 2}, {2, 2}}, "c"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"H"->{{8, 4}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{5, "x"}}, "a"},
"Q"->{{8, 4}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{5, "x"}}, "a"},
"G"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"}
|>;
LGIrep[32]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {1/2, 1/2, 0}}, {"\[Sigma]y", {0, 1/2, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{8, 4}, {{"\[Sigma]x", {1/2, 0, 0}}, {"C2z", {1/2, 1/2, 0}}}, {{5, 1}}, "a"},
"X"->{{8, 4}, {{"\[Sigma]y", {0, 1/2, 0}}, {"C2z", {1/2, 1/2, 0}}}, {{5, 1}}, "a"},
"Z"->{{4, 2}, {{"C2z", {1/2, 1/2, 0}}, {"\[Sigma]y", {0, 1/2, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"U"->{{8, 4}, {{"\[Sigma]y", {0, 1/2, 0}}, {"C2z", {1/2, 1/2, 0}}}, {{5, 1}}, "a"},
"T"->{{8, 4}, {{"\[Sigma]x", {1/2, 0, 0}}, {"C2z", {1/2, 1/2, 0}}}, {{5, 1}}, "a"},
"S"->{{8, 2}, {{"\[Sigma]x", {1/2, 0, 0}}, {"C2z", {1/2, 1/2, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"R"->{{8, 2}, {{"\[Sigma]x", {1/2, 0, 0}}, {"C2z", {1/2, 1/2, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"\[CapitalDelta]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 3}, {2, 3}}, "c"},
"P"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 3}, {2, 3}}, "c"},
"B"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"E"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"A"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"H"->{{8, 4}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{5, "x"}}, "a"},
"Q"->{{8, 3}, {{"C2z", 0}, {"\[Sigma]y", 0}, {"E", 1}}, {{5, "x"}, {6, "x"}, {7, "x"}, {8, "x"}}, "a"},
"G"->{{8, 4}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{5, "x"}}, "a"}
|>;
LGIrep[33]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {1/2, 1/2, 1/2}}, {"\[Sigma]y", {0, 1/2, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{8, 4}, {{"\[Sigma]x", {1/2, 0, 0}}, {"C2z", {1/2, 1/2, 1/2}}}, {{5, 1}}, "a"},
"X"->{{8, 4}, {{"\[Sigma]y", {0, 1/2, 1/2}}, {"C2z", {1/2, 1/2, 1/2}}}, {{5, 1}}, "a"},
"Z"->{{8, 2}, {{"C2z", {1/2, 1/2, 1/2}}, {"\[Sigma]x", {1/2, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "c"},
"U"->{{8, 4}, {{"C2z", {1/2, 1/2, 1/2}}, {"\[Sigma]y", {0, 1/2, 1/2}}}, {{5, 1}}, "a"},
"T"->{{8, 5}, {{"C2z", {1/2, 1/2, 1/2}}, {"\[Sigma]y", {0, 1/2, 1/2}}}, {{5, 2}}, "a"},
"S"->{{8, 2}, {{"\[Sigma]y", {0, 1/2, 1/2}}, {"C2z", {1/2, 1/2, 1/2}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"R"->{{8, 2}, {{"C2z", {1/2, 1/2, 1/2}}, {"\[Sigma]y", {0, 1/2, 1/2}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "c"},
"\[CapitalDelta]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 3}, {2, 3}}, "c"},
"P"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 3}, {2, 3}}, "c"},
"B"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 2}, {2, 2}}, "c"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"E"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 2}, {2, 2}}, "c"},
"A"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"H"->{{8, 4}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{5, "x"}}, "a"},
"Q"->{{8, 3}, {{"C2z", 0}, {"\[Sigma]y", 0}, {"E", 1}}, {{5, "x"}, {6, "x"}, {7, "x"}, {8, "x"}}, "a"},
"G"->{{8, 4}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{5, "x"}}, "a"}
|>;
LGIrep[34]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {1/2, 1/2, 0}}, {"\[Sigma]y", {0, 1/2, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{8, 4}, {{"\[Sigma]x", {1/2, 0, 1/2}}, {"C2z", {1/2, 1/2, 0}}}, {{5, 1}}, "a"},
"X"->{{8, 4}, {{"\[Sigma]y", {0, 1/2, 1/2}}, {"C2z", {1/2, 1/2, 0}}}, {{5, 1}}, "a"},
"Z"->{{8, 2}, {{"\[Sigma]y", {0, 1/2, 1/2}}, {"C2z", {1/2, 1/2, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"U"->{{8, 4}, {{"\[Sigma]x", {1/2, 0, 1/2}}, {"C2z", {1/2, 1/2, 0}}}, {{5, 1}}, "a"},
"T"->{{8, 4}, {{"\[Sigma]y", {0, 1/2, 1/2}}, {"C2z", {1/2, 1/2, 0}}}, {{5, 1}}, "a"},
"S"->{{8, 2}, {{"\[Sigma]y", {0, 1/2, 1/2}}, {"C2z", {1/2, 1/2, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"R"->{{4, 2}, {{"C2z", {1/2, 1/2, 0}}, {"\[Sigma]y", {0, 1/2, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"\[CapitalDelta]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 3}, {2, 3}}, "c"},
"P"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"B"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 3}, {2, 3}}, "c"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"E"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"A"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"H"->{{8, 4}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{5, "x"}}, "a"},
"Q"->{{8, 3}, {{"C2z", 0}, {"\[Sigma]y", 0}, {"E", 1}}, {{5, "x"}, {6, "x"}, {7, "x"}, {8, "x"}}, "a"},
"G"->{{8, 4}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{5, "x"}}, "a"}
|>;
LGIrep[35]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Z"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"T"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"S"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"R"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"H"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"D"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"},
"A"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalDelta]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"B"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"G"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"F"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"E"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"}
|>;
LGIrep[36]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Z"->{{8, 2}, {{"C2z", {0, 0, 1/2}}, {"\[Sigma]y", {0, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "c"},
"T"->{{8, 2}, {{"C2z", {0, 0, 1/2}}, {"\[Sigma]y", {0, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "c"},
"S"->{{2, 1}, {{"C2z", {0, 0, 1/2}}}, {{1, 1}, {2, 1}}, "b"},
"R"->{{4, 1}, {{"C2z", {0, 0, 1/2}}}, {{2, 3}, {4, 3}}, "a"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"H"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"D"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"},
"A"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 2}, {2, 2}}, "c"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalDelta]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"B"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 3}, {2, 3}}, "c"},
"G"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 3}, {2, 3}}, "c"},
"F"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"E"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 2}, {2, 2}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"}
|>;
LGIrep[37]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Z"->{{8, 2}, {{"\[Sigma]x", {0, 0, 1/2}}, {"C2z", {0, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"T"->{{8, 2}, {{"\[Sigma]x", {0, 0, 1/2}}, {"C2z", {0, 0, 0}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"S"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"R"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"H"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"D"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"},
"A"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalDelta]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"B"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 3}, {2, 3}}, "c"},
"G"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 3}, {2, 3}}, "c"},
"F"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"E"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"}
|>;
LGIrep[38]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2y", {0, 0, 0}}, {"\[Sigma]x", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{4, 2}, {{"C2y", {0, 0, 0}}, {"\[Sigma]x", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Z"->{{4, 2}, {{"C2y", {0, 0, 0}}, {"\[Sigma]x", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"T"->{{4, 2}, {{"C2y", {0, 0, 0}}, {"\[Sigma]x", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"S"->{{2, 1}, {{"\[Sigma]z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"R"->{{2, 1}, {{"\[Sigma]z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalLambda]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"H"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{1, 1}, {{"E", 0}}, {{1, 1}}, "a"},
"A"->{{2, 1}, {{"\[Sigma]z", 0}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]z", 0}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalDelta]"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"B"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"G"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"F"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"E"->{{2, 1}, {{"\[Sigma]z", 0}}, {{1, 1}, {2, 1}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]z", 0}}, {{1, 1}, {2, 1}}, "c"}
|>;
LGIrep[39]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2y", {0, 0, 0}}, {"\[Sigma]x", {1/2, 1/2, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{4, 2}, {{"C2y", {0, 0, 0}}, {"\[Sigma]x", {1/2, 1/2, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Z"->{{4, 2}, {{"C2y", {0, 0, 0}}, {"\[Sigma]x", {1/2, 1/2, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"T"->{{4, 2}, {{"C2y", {0, 0, 0}}, {"\[Sigma]x", {1/2, 1/2, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"S"->{{4, 1}, {{"\[Sigma]z", {1/2, 1/2, 0}}}, {{2, 3}, {4, 3}}, "a"},
"R"->{{4, 1}, {{"\[Sigma]z", {1/2, 1/2, 0}}}, {{2, 3}, {4, 3}}, "a"},
"\[CapitalLambda]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"H"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{1, 1}, {{"E", 0}}, {{1, 2}}, "a"},
"A"->{{2, 1}, {{"\[Sigma]z", 0}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]z", 0}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalDelta]"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"B"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"G"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"F"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"E"->{{2, 1}, {{"\[Sigma]z", 0}}, {{1, 1}, {2, 1}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]z", 0}}, {{1, 1}, {2, 1}}, "c"}
|>;
LGIrep[40]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2y", {0, 0, 0}}, {"\[Sigma]x", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{4, 2}, {{"C2y", {0, 0, 0}}, {"\[Sigma]x", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Z"->{{8, 4}, {{"\[Sigma]x", {0, 0, 1/2}}, {"C2y", {0, 0, 0}}}, {{5, 1}}, "a"},
"T"->{{8, 4}, {{"\[Sigma]x", {0, 0, 1/2}}, {"C2y", {0, 0, 0}}}, {{5, 1}}, "a"},
"S"->{{2, 1}, {{"\[Sigma]z", {0, 0, 1/2}}}, {{1, 1}, {2, 1}}, "c"},
"R"->{{2, 1}, {{"\[Sigma]z", {0, 0, 1/2}}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalLambda]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"H"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{1, 1}, {{"E", 0}}, {{1, 1}}, "a"},
"A"->{{4, 1}, {{"\[Sigma]z", 0}}, {{2, 3}, {4, 3}}, "a"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]z", 0}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalDelta]"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"B"->{{8, 4}, {{"\[Sigma]z", 0}, {"C2y", 0}}, {{5, "x"}}, "a"},
"G"->{{8, 4}, {{"\[Sigma]z", 0}, {"C2y", 0}}, {{5, "x"}}, "a"},
"F"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"E"->{{4, 1}, {{"\[Sigma]z", 0}}, {{2, 3}, {4, 3}}, "a"},
"C"->{{2, 1}, {{"\[Sigma]z", 0}}, {{1, 1}, {2, 1}}, "c"}
|>;
LGIrep[41]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2y", {0, 0, 0}}, {"\[Sigma]x", {1/2, 1/2, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{4, 2}, {{"C2y", {0, 0, 0}}, {"\[Sigma]x", {1/2, 1/2, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Z"->{{8, 4}, {{"\[Sigma]x", {1/2, 1/2, 1/2}}, {"C2y", {0, 0, 0}}}, {{5, 1}}, "a"},
"T"->{{8, 4}, {{"\[Sigma]x", {1/2, 1/2, 1/2}}, {"C2y", {0, 0, 0}}}, {{5, 1}}, "a"},
"S"->{{4, 1}, {{"\[Sigma]z", {1/2, 1/2, 1/2}}}, {{2, 3}, {4, 3}}, "a"},
"R"->{{4, 1}, {{"\[Sigma]z", {1/2, 1/2, 1/2}}}, {{2, 3}, {4, 3}}, "a"},
"\[CapitalLambda]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"H"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{1, 1}, {{"E", 0}}, {{1, 2}}, "a"},
"A"->{{4, 1}, {{"\[Sigma]z", 0}}, {{2, 3}, {4, 3}}, "a"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]z", 0}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalDelta]"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"B"->{{8, 4}, {{"\[Sigma]z", 0}, {"C2y", 0}}, {{5, "x"}}, "a"},
"G"->{{8, 4}, {{"\[Sigma]z", 0}, {"C2y", 0}}, {{5, "x"}}, "a"},
"F"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"E"->{{4, 1}, {{"\[Sigma]z", 0}}, {{2, 3}, {4, 3}}, "a"},
"C"->{{2, 1}, {{"\[Sigma]z", 0}}, {{1, 1}, {2, 1}}, "c"}
|>;
LGIrep[42]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"X"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Z"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"L"->{{1, 1}, {{"E", {0, 0, 0}}}, {{1, 1}}, "a"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"G"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"H"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"Q"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"A"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"U"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalDelta]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"B"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"R"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"}
|>;
LGIrep[43]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 1/2}}, {"\[Sigma]y", {1/2, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Y"->{{8, 4}, {{"\[Sigma]x", {0, 1/2, 0}}, {"C2z", {0, 0, 1/2}}}, {{5, 1}}, "a"},
"X"->{{8, 4}, {{"\[Sigma]y", {1/2, 0, 0}}, {"C2z", {0, 0, 1/2}}}, {{5, 1}}, "a"},
"Z"->{{8, 2}, {{"\[Sigma]x", {0, 1/2, 0}}, {"C2z", {0, 0, 1/2}}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"L"->{{1, 1}, {{"E", {0, 0, 0}}}, {{1, 1}}, "a"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"G"->{{8, 4}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{5, "x"}}, "a"},
"H"->{{8, 4}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{5, "x"}}, "a"},
"Q"->{{8, 3}, {{"C2z", 0}, {"\[Sigma]y", 0}, {"E", 1}}, {{5, "x"}, {6, "x"}, {7, "x"}, {8, "x"}}, "a"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"C"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"A"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 3}, {2, 3}}, "c"},
"U"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"\[CapitalDelta]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 3}, {2, 3}}, "c"},
"B"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 3}, {2, 3}}, "c"},
"R"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"}
|>;
LGIrep[44]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"X"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"R"->{{2, 1}, {{"\[Sigma]y", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"S"->{{2, 1}, {{"\[Sigma]x", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "c"},
"T"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"W"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"G"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"P"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"F"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{1, 1}, {{"E", 0}}, {{1, 1}}, "a"},
"\[CapitalDelta]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"U"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"Q"->{{1, 1}, {{"E", 0}}, {{1, 1}}, "a"}
|>;
LGIrep[45]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {1/2, 1/2, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"X"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {1/2, 1/2, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"R"->{{4, 1}, {{"\[Sigma]y", {1/2, 1/2, 0}}}, {{2, 3}, {4, 3}}, "a"},
"S"->{{4, 1}, {{"\[Sigma]x", {1/2, 1/2, 0}}}, {{2, 3}, {4, 3}}, "a"},
"T"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"W"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 2}, {2, 2}}, "b"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"G"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"P"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"F"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{1, 1}, {{"E", 0}}, {{1, 2}}, "a"},
"\[CapitalDelta]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"U"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"Q"->{{1, 1}, {{"E", 0}}, {{1, 2}}, "a"}
|>;
LGIrep[46]=<|
"\[CapitalGamma]"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 1/2, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"X"->{{4, 2}, {{"C2z", {0, 0, 0}}, {"\[Sigma]y", {0, 1/2, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"R"->{{2, 1}, {{"\[Sigma]y", {0, 1/2, 1/2}}}, {{1, 1}, {2, 1}}, "c"},
"S"->{{4, 1}, {{"\[Sigma]x", {0, 1/2, 1/2}}}, {{2, 3}, {4, 3}}, "a"},
"T"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 1}, {2, 1}}, "b"},
"W"->{{2, 1}, {{"C2z", {0, 0, 0}}}, {{1, 3}, {2, 3}}, "b"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"G"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, "x"}, {2, "x"}, {3, "x"}, {4, "x"}}, "c"},
"P"->{{2, 1}, {{"C2z", 0}}, {{1, "x"}, {2, "x"}}, "b"},
"\[CapitalSigma]"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"F"->{{2, 1}, {{"\[Sigma]y", 0}}, {{1, 1}, {2, 1}}, "c"},
"D"->{{1, 1}, {{"E", 0}}, {{1, 2}}, "a"},
"\[CapitalDelta]"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"U"->{{2, 1}, {{"\[Sigma]x", 0}}, {{1, 1}, {2, 1}}, "c"},
"Q"->{{1, 1}, {{"E", 0}}, {{1, 1}}, "a"}
|>;
LGIrep[47]=<|
"\[CapitalGamma]"->{{8, 3}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"Y"->{{8, 3}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"X"->{{8, 3}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"Z"->{{8, 3}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"U"->{{8, 3}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"T"->{{8, 3}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"S"->{{8, 3}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"R"->{{8, 3}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"\[CapitalDelta]"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"D"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"P"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"B"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"\[CapitalSigma]"->{{4, 2}, {{"C2x", 0}, {"\[Sigma]z", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"C"->{{4, 2}, {{"C2x", 0}, {"\[Sigma]z", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"E"->{{4, 2}, {{"C2x", 0}, {"\[Sigma]z", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"A"->{{4, 2}, {{"C2x", 0}, {"\[Sigma]z", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"H"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Q"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"G"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"}
|>;
LGIrep[48]=<|
"\[CapitalGamma]"->{{8, 3}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}, {"I", {1/2, 1/2, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"Y"->{{16, 9}, {{"\[Sigma]z", {1/2, 1/2, 1/2}}, {"I", {1/2, 1/2, 1/2}}, {"C2y", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"X"->{{16, 9}, {{"\[Sigma]y", {1/2, 1/2, 1/2}}, {"I", {1/2, 1/2, 1/2}}, {"C2x", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"Z"->{{16, 9}, {{"\[Sigma]x", {1/2, 1/2, 1/2}}, {"I", {1/2, 1/2, 1/2}}, {"C2z", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"U"->{{16, 9}, {{"\[Sigma]z", {1/2, 1/2, 1/2}}, {"I", {1/2, 1/2, 1/2}}, {"C2y", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"T"->{{16, 9}, {{"\[Sigma]y", {1/2, 1/2, 1/2}}, {"I", {1/2, 1/2, 1/2}}, {"C2x", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"S"->{{16, 9}, {{"\[Sigma]x", {1/2, 1/2, 1/2}}, {"I", {1/2, 1/2, 1/2}}, {"C2z", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"R"->{{8, 3}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}, {"I", {1/2, 1/2, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"\[CapitalDelta]"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"D"->{{8, 4}, {{"\[Sigma]x", 0}, {"C2y", 0}}, {{5, 1}}, "a"},
"P"->{{8, 2}, {{"\[Sigma]z", 0}, {"C2y", 0}}, {{2, 1}, {4, 1}, {6, 1}, {8, 1}}, "d"},
"B"->{{8, 4}, {{"\[Sigma]z", 0}, {"C2y", 0}}, {{5, 1}}, "a"},
"\[CapitalSigma]"->{{4, 2}, {{"C2x", 0}, {"\[Sigma]y", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"C"->{{8, 4}, {{"\[Sigma]y", 0}, {"C2x", 0}}, {{5, 1}}, "a"},
"E"->{{8, 2}, {{"\[Sigma]z", 0}, {"C2x", 0}}, {{2, 1}, {4, 1}, {6, 1}, {8, 1}}, "d"},
"A"->{{8, 4}, {{"\[Sigma]z", 0}, {"C2x", 0}}, {{5, 1}}, "a"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"H"->{{8, 4}, {{"\[Sigma]y", 0}, {"C2z", 0}}, {{5, 1}}, "a"},
"Q"->{{8, 2}, {{"\[Sigma]x", 0}, {"C2z", 0}}, {{2, 1}, {4, 1}, {6, 1}, {8, 1}}, "d"},
"G"->{{8, 4}, {{"\[Sigma]x", 0}, {"C2z", 0}}, {{5, 1}}, "a"}
|>;
LGIrep[49]=<|
"\[CapitalGamma]"->{{8, 3}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}, {"I", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"Y"->{{8, 3}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}, {"I", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"X"->{{8, 3}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}, {"I", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"Z"->{{16, 9}, {{"\[Sigma]x", {0, 0, 1/2}}, {"I", {0, 0, 1/2}}, {"C2z", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"U"->{{16, 9}, {{"\[Sigma]x", {0, 0, 1/2}}, {"I", {0, 0, 1/2}}, {"C2z", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"T"->{{16, 9}, {{"\[Sigma]x", {0, 0, 1/2}}, {"I", {0, 0, 1/2}}, {"C2z", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"S"->{{8, 3}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}, {"I", {0, 0, 1/2}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"R"->{{16, 9}, {{"\[Sigma]x", {0, 0, 1/2}}, {"I", {0, 0, 1/2}}, {"C2z", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"\[CapitalDelta]"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"D"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"P"->{{8, 4}, {{"\[Sigma]z", 0}, {"C2y", 0}}, {{5, 1}}, "a"},
"B"->{{8, 4}, {{"\[Sigma]z", 0}, {"C2y", 0}}, {{5, 1}}, "a"},
"\[CapitalSigma]"->{{4, 2}, {{"C2x", 0}, {"\[Sigma]z", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"C"->{{4, 2}, {{"C2x", 0}, {"\[Sigma]z", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"E"->{{8, 4}, {{"\[Sigma]z", 0}, {"C2x", 0}}, {{5, 1}}, "a"},
"A"->{{8, 4}, {{"\[Sigma]z", 0}, {"C2x", 0}}, {{5, 1}}, "a"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"H"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Q"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"G"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"}
|>;
LGIrep[50]=<|
"\[CapitalGamma]"->{{8, 3}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}, {"I", {1/2, 1/2, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"Y"->{{16, 9}, {{"\[Sigma]z", {1/2, 1/2, 0}}, {"I", {1/2, 1/2, 0}}, {"C2y", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"X"->{{16, 9}, {{"\[Sigma]z", {1/2, 1/2, 0}}, {"I", {1/2, 1/2, 0}}, {"C2x", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"Z"->{{8, 3}, {{"C2z", {0, 0, 0}}, {"C2y", {0, 0, 0}}, {"I", {1/2, 1/2, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"U"->{{16, 9}, {{"\[Sigma]z", {1/2, 1/2, 0}}, {"I", {1/2, 1/2, 0}}, {"C2x", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"T"->{{16, 9}, {{"\[Sigma]z", {1/2, 1/2, 0}}, {"I", {1/2, 1/2, 0}}, {"C2y", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"S"->{{16, 9}, {{"\[Sigma]x", {1/2, 1/2, 0}}, {"I", {1/2, 1/2, 0}}, {"C2z", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"R"->{{16, 9}, {{"\[Sigma]x", {1/2, 1/2, 0}}, {"I", {1/2, 1/2, 0}}, {"C2z", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"\[CapitalDelta]"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"D"->{{8, 4}, {{"\[Sigma]x", 0}, {"C2y", 0}}, {{5, 1}}, "a"},
"P"->{{8, 4}, {{"\[Sigma]x", 0}, {"C2y", 0}}, {{5, 1}}, "a"},
"B"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"\[CapitalSigma]"->{{4, 2}, {{"C2x", 0}, {"\[Sigma]z", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"C"->{{8, 4}, {{"\[Sigma]y", 0}, {"C2x", 0}}, {{5, 1}}, "a"},
"E"->{{8, 4}, {{"\[Sigma]y", 0}, {"C2x", 0}}, {{5, 1}}, "a"},
"A"->{{4, 2}, {{"C2x", 0}, {"\[Sigma]z", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"H"->{{8, 4}, {{"\[Sigma]y", 0}, {"C2z", 0}}, {{5, 1}}, "a"},
"Q"->{{8, 2}, {{"\[Sigma]y", 0}, {"C2z", 0}}, {{2, 1}, {4, 1}, {6, 1}, {8, 1}}, "d"},
"G"->{{8, 4}, {{"\[Sigma]x", 0}, {"C2z", 0}}, {{5, 1}}, "a"}
|>;
LGIrep[51]=<|
"\[CapitalGamma]"->{{8, 3}, {{"C2z", {0, 0, 1/2}}, {"C2y", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"Y"->{{8, 3}, {{"C2z", {0, 0, 1/2}}, {"C2y", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"X"->{{8, 3}, {{"C2z", {0, 0, 1/2}}, {"C2y", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"Z"->{{16, 9}, {{"C2z", {0, 0, 1/2}}, {"I", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "b"},
"U"->{{16, 9}, {{"C2z", {0, 0, 1/2}}, {"I", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "b"},
"T"->{{16, 9}, {{"C2z", {0, 0, 1/2}}, {"I", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "b"},
"S"->{{8, 3}, {{"C2z", {0, 0, 1/2}}, {"C2y", {0, 0, 0}}, {"I", {0, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"R"->{{16, 9}, {{"C2z", {0, 0, 1/2}}, {"I", {0, 0, 0}}, {"\[Sigma]y", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"\[CapitalDelta]"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"D"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"P"->{{8, 4}, {{"\[Sigma]z", 0}, {"C2y", 0}}, {{5, 1}}, "a"},
"B"->{{8, 4}, {{"\[Sigma]z", 0}, {"C2y", 0}}, {{5, 1}}, "a"},
"\[CapitalSigma]"->{{4, 2}, {{"C2x", 0}, {"\[Sigma]z", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"C"->{{4, 2}, {{"C2x", 0}, {"\[Sigma]z", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"E"->{{8, 2}, {{"C2x", 0}, {"\[Sigma]y", 0}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "c"},
"A"->{{8, 2}, {{"C2x", 0}, {"\[Sigma]y", 0}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "c"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"H"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"Q"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"G"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"}
|>;
LGIrep[52]=<|
"\[CapitalGamma]"->{{8, 3}, {{"C2z", {0, 0, 1/2}}, {"C2y", {0, 0, 0}}, {"I", {1/2, 1/2, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"Y"->{{16, 9}, {{"\[Sigma]z", {1/2, 1/2, 1/2}}, {"I", {1/2, 1/2, 0}}, {"C2y", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"X"->{{16, 9}, {{"\[Sigma]y", {1/2, 1/2, 0}}, {"I", {1/2, 1/2, 0}}, {"C2x", {0, 0, 1/2}}}, {{5, 1}, {10, 1}}, "a"},
"Z"->{{16, 9}, {{"\[Sigma]x", {1/2, 1/2, 1/2}}, {"I", {1/2, 1/2, 0}}, {"\[Sigma]y", {1/2, 1/2, 0}}}, {{5, 1}, {10, 1}}, "b"},
"U"->{{16, 7}, {{"\[Sigma]z", {1/2, 1/2, 1/2}}, {"C2y", {0, 0, 0}}, {"I", {1/2, 1/2, 0}}}, {{9, 3}, {10, 3}}, "a"},
"T"->{{16, 9}, {{"\[Sigma]z", {1/2, 1/2, 1/2}}, {"\[Sigma]y", {1/2, 1/2, 0}}, {"I", {1/2, 1/2, 0}}}, {{5, 1}, {10, 1}}, "c"},
"S"->{{16, 9}, {{"\[Sigma]x", {1/2, 1/2, 1/2}}, {"I", {1/2, 1/2, 0}}, {"C2z", {0, 0, 1/2}}}, {{5, 1}, {10, 1}}, "a"},
"R"->{{16, 9}, {{"\[Sigma]y", {1/2, 1/2, 0}}, {"I", {1/2, 1/2, 0}}, {"\[Sigma]x", {1/2, 1/2, 1/2}}}, {{5, 1}, {10, 1}}, "b"},
"\[CapitalDelta]"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"D"->{{8, 4}, {{"\[Sigma]x", 0}, {"C2y", 0}}, {{5, 1}}, "a"},
"P"->{{8, 2}, {{"\[Sigma]z", 0}, {"C2y", 0}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "d"},
"B"->{{8, 4}, {{"\[Sigma]z", 0}, {"C2y", 0}}, {{5, 1}}, "a"},
"\[CapitalSigma]"->{{4, 2}, {{"C2x", 0}, {"\[Sigma]z", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"C"->{{8, 4}, {{"\[Sigma]y", 0}, {"C2x", 0}}, {{5, 1}}, "a"},
"E"->{{8, 5}, {{"\[Sigma]y", 0}, {"\[Sigma]z", 0}}, {{5, 1}}, "a"},
"A"->{{8, 2}, {{"C2x", 0}, {"\[Sigma]y", 0}}, {{2, 3}, {4, 3}, {6, 3}, {8, 3}}, "c"},
"\[CapitalLambda]"->{{4, 2}, {{"C2z", 0}, {"\[Sigma]y", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"H"->{{8, 4}, {{"\[Sigma]y", 0}, {"C2z", 0}}, {{5, 1}}, "a"},
"Q"->{{8, 2}, {{"\[Sigma]y", 0}, {"C2z", 0}}, {{2, 1}, {4, 1}, {6, 1}, {8, 1}}, "d"},
"G"->{{8, 4}, {{"\[Sigma]x", 0}, {"C2z", 0}}, {{5, 1}}, "a"}
|>;
LGIrep[53]=<|
"\[CapitalGamma]"->{{8, 3}, {{"C2z", {0, 0, 1/2}}, {"C2y", {0, 0, 0}}, {"I", {1/2, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"Y"->{{16, 9}, {{"\[Sigma]z", {1/2, 0, 1/2}}, {"I", {1/2, 0, 0}}, {"C2y", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"X"->{{8, 3}, {{"C2z", {0, 0, 1/2}}, {"C2y", {0, 0, 0}}, {"I", {1/2, 0, 0}}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}}, "b"},
"Z"->{{16, 9}, {{"C2z", {0, 0, 1/2}}, {"I", {1/2, 0, 0}}, {"\[Sigma]y", {1/2, 0, 0}}}, {{5, 1}, {10, 1}}, "b"},
"U"->{{16, 9}, {{"C2z", {0, 0, 1/2}}, {"I", {1/2, 0, 0}}, {"\[Sigma]y", {1/2, 0, 0}}}, {{5, 1}, {10, 1}}, "b"},
"T"->{{16, 9}, {{"C2z", {0, 0, 1/2}}, {"\[Sigma]y", {1/2, 0, 0}}, {"I", {1/2, 0, 0}}}, {{5, 1}, {10, 1}}, "c"},
"S"->{{16, 9}, {{"\[Sigma]z", {1/2, 0, 1/2}}, {"I", {1/2, 0, 0}}, {"C2y", {0, 0, 0}}}, {{5, 1}, {10, 1}}, "a"},
"R"->{{16, 9}, {{"C2z", {0, 0, 1/2}}, {"\[Sigma]y", {1/2, 0, 0}}, {"I", {1/2, 0, 0}}}, {{5, 1}, {10, 1}}, "c"},
"\[CapitalDelta]"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"D"->{{4, 2}, {{"C2y", 0}, {"\[Sigma]x", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"P"->{{8, 4}, {{"\[Sigma]z", 0}, {"C2y", 0}}, {{5, 1}}, "a"},
"B"->{{8, 4}, {{"\[Sigma]z", 0}, {"C2y", 0}}, {{5, 1}}, "a"},
"\[CapitalSigma]"->{{4, 2}, {{"C2x", 0}, {"\[Sigma]z", 0}}, {{1, 1}, {2, 1}, {3, 1}, {4, 1}}, "c"},
"C"->{{8, 4}, {{"\[Sigma]y", 0}, {"C2x", 0}}, {{5, 1}}, "a"},