trac #15817 better code for Molien series
trac #15817 taking care of lost fixed points
Trac 16908: upgrade Maxima to 5.34.1
Merge branch 'u/vbraun/buggy_to_poly_solve' of ssh://trac.sagemath.org/sage into ticket/16908-maxima-5.34.1

Conflicts:
	src/sage/symbolic/expression.pyx
	src/sage/symbolic/relation.py
Merge branch 'develop' into ticket/16908-maxima-5.34.1
Trac 16908: correct precision in doctests
Avoid SAGE_ROOT in module_list.py
Trac #15817: Bug in computation of moliens series

Using a new algorithm from the hells, I try to check my results with the
current implementation of Moliens series... And I fall on this

{{{
sage: G = PermutationGroup([[(1,2,3,4)]])
sage: S4 = SymmetricGroup(4)
sage: secondary_enumeration_polynomial(G)
q^5 + 2*q^4 + q^3 + q^2 + 1
sage: G.molien_series() / S4.molien_series()
x^5 + 2*x^4 + x^3 + x^2 + 1
sage: G = PermutationGroup([[(1,2)],[(3,4)]])
sage: secondary_enumeration_polynomial(G)
q^4 + q^3 + 2*q^2 + q + 1
sage: G.molien_series() / S4.molien_series()
-x^5 - x^3 + x^2 + 1
}}}

`secondary_enumeration_polynomial` is my new function (which I hope,
compute the degree of secondary invariants polynomial associated to the
symmetric polynomial as primary invariants)... The quotient of the two
series MUST BE a polynomial with positive coefficients since the theory
says that for any subgroup `G` of `S_n`, the ring of invariant under the
action of `G` is a free module over the ring of symmetric polynomials.

URL: http://trac.sagemath.org/15817
Reported by: nborie
Ticket author(s): Frédéric Chapoton
Reviewer(s): Nicolas Borie
Trac #16975: avoid SAGE_ROOT in module_list.py for discrete Gaussians

The discrete Gaussian module relies on {{{SAGE_ROOT}}} in
{{{nodule_list.py}}} but it shouldn't. See comment in #16968.

In this case the use of SAGE_ROOT to add an include directory was
masking the fact that one header was forgotten in depend. While that
trick work with plain sage it fails straight away in sage-on-gentoo. If
the author had used SAGE_SRC instead the mistake could have gone
undiscovered for a while. The usage of both SAGE_ROOT and SAGE_SRC are
discouraged in module_list.py.

URL: http://trac.sagemath.org/16975
Reported by: malb
Ticket author(s): Martin Albrecht
Reviewer(s): François Bissey
Trac #16908: Upgrade Maxima to 5.34.1

Tarball:
​http://pub.math.leidenuniv.nl/~bruinpj/sage/maxima-5.34.1.tar.bz2

This appears to fix #14965.

URL: http://trac.sagemath.org/16908
Reported by: pbruin
Ticket author(s): Peter Bruin
Reviewer(s): Jeroen Demeyer