/usr/share/pari/galdata/NAM8 is in pari-galdata 0.20080411-2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 | ["C(8)=8", "4[x]2", "E(8)=2[x]2[x]2", "D_8(8)=[4]2", "Q_8(8)", "D(8)", "1/2[2^3]4", "2D_8(8)=[D(4)]2", "E(8):2=D(4)[x]2", "[2^2]4", "1/2[2^3]E(4)=Q_8:2", "2A_4(8)=[2]A(4)=SL(2,3)", "E(8):3=A(4)[x]2", "S(4)[1/2]2=1/2(S_4[x]2)", "[1/4.cD(4)^2]2", "1/2[2^4]4", "[4^2]2", "E(8):E_4=[2^2]D(4)", "E(8):4=[1/4.eD(4)^2]2", "[2^3]4", "1/2[2^4]E(4)=[1/4.dD(4)^2]2", "E(8):D_4=[2^3]2^2", "2S_4(8)=GL(2,3)", "E(8):D_6=S(4)[x]2", "E(8):7=F_56(8)", "1/2[2^4]eD(4)", "[2^4]4", "1/2[2^4]dD(4)", "E(8):D_8=[2^3]D(4)", "1/2[2^4]cD(4)", "[2^4]E(4)", "[2^3]A(4)", "E(8):A_4=[1/3.A(4)^2]2=E(4):6", "1/2[E(4)^2:S_3]2=E(4)^2:D_6", "[2^4]D(4)", "E(8):F_21", "L(8)=PSL(2,7)", "[2^4]A(4)", "[2^3]S(4)", "1/2[2^4]S(4)", "E(8):S_4=[E(4)^2:S_3]2=E(4)^2:D_12", "[A(4)^2]2", "L(8):2=PGL(2,7)", "[2^4]S(4)", "[1/2.S(4)^2]2", "1/2[S(4)^2]2", "[S(4)^2]2", "E(8):L_7=AL(8)", "A8", "S8"]
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