/usr/share/pari/galdata/NAM10 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(10)=5[x]2", "D(10)=5:2", "D_10(10)=[D(5)]2", "1/2[F(5)]2", "F(5)[x]2", "[5^2]2", "A_5(10)", "[2^4]5", "[1/2.D(5)^2]2", "1/2[D(5)^2]2", "A(5)[x]2", "1/2[S(5)]2=S_5(10a)", "S_5(10d)", "[2^5]5", "[2^4]D(5)", "1/2[2^5]D(5)", "[5^2:4]2", "[5^2:4]2_2", "[5^2:4_2]2", "[5^2:4_2]2_2", "[D(5)^2]2", "S(5)[x]2", "[2^5]D(5)", "[2^4]F(5)", "1/2[2^5]F(5)", "L(10)=PSL(2,9)", "[1/2.F(5)^2]2", "1/2[F(5)^2]2", "[2^5]F(5)", "L(10):2=PGL(2,9)", "M(10)=L(10)'2", "S_6(10)=L(10):2", "[F(5)^2]2", "[2^4]A(5)", "L(10).2^2=P|L(2,9)", "[2^5]A(5)", "[2^4]S(5)", "1/2[2^5]S(5)", "[2^5]S(5)", "[A(5)^2]2", "[1/2.S(5)^2]2=[A(5):2]2", "1/2[S(5)^2]2", "[S(5)^2]2", "A10", "S10"]
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