Galois group command for Magma online calculator? I need to test if a family of 7th deg and 13 deg equations are solvable. I'm new to Magma, so my apologies, but what would I type in,
http://magma.maths.usyd.edu.au/calc/
to determine the Galois group of $x^5+5x-12=0$ (for example)?

For x^10 - 1280/512*x^8 + 1120/512*x^6 - 400/512*x^4 + 50/512*x^2 - 
  1/512, the web page can return the generator of Galois group:
R < x > := PolynomialRing (RationalField ());
f := x^10 - 1280/512*x^8 + 1120/512*x^6 - 400/512*x^4 + 50/512*x^2 - 
  1/512;
G := GaloisGroup (f);
G;
IsSolvable (G);

