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)?

GaloisGroup(FldFin, FldFin) is available. Make an extension of F_7 using your polynomial then call GaloisGroup.
GaloisGroup is also available for polynomials over char p function fields. Coerce your polynomial to be over a function field over F_7 and compute the GaloisGroup of that polynomial.
