Fix some escape sequences in padics

[tscrim]

Some latex stuff like QQ_p not being in r""" strings. Some other documentation cleanup.

CC: @roed314

Component: documentation

Author: Travis Scrimshaw

Branch/Commit: 94fac34

Reviewer: Matthias Koeppe

Issue created by migration from https://trac.sagemath.org/ticket/32140

[tscrim]

Commit: 149aa32

[tscrim]

New commits:

149aa32

Some cleanup of padic documentation.

[tscrim]

Branch: public/documentation/fix_escape_seq-32140

[sagetrac-git]

Changed commit from 149aa32 to 8e2b0a0

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

8e2b0a0

Merge branch 'develop' into public/documentation/fix_escape_seq-32140

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

0be7871

Some last little details.

[sagetrac-git]

Changed commit from 8e2b0a0 to 0be7871

[mkoeppe]

comment:4

Setting it to "critical" as these deprecation warnings have been quite annoying.

sage -t --random-seed=0 src/sage/rings/padics/padic_ext_element.pyx
**********************************************************************
File "src/sage/rings/padics/padic_ext_element.pyx", line 449, in sage.rings.padics.padic_ext_element.pAdicExtElement.residue
Failed example:
    a.residue(2)
Expected:
    Traceback (most recent call last):
    ...
    NotImplementedError: reduction modulo p^n with n>1
Got:
    <BLANKLINE>
    Traceback (most recent call last):
      File "/Users/mkoeppe/s/sage/sage-rebasing/worktree-gcc11/src/sage/doctest/forker.py", line 718, in _run
        self.compile_and_execute(example, compiler, test.globs)
      File "/Users/mkoeppe/s/sage/sage-rebasing/worktree-gcc11/src/sage/doctest/forker.py", line 1137, in compile_and_execute
        exec(compiled, globs)
      File "<doctest sage.rings.padics.padic_ext_element.pAdicExtElement.residue[4]>", line 1, in <module>
        a.residue(Integer(2))
      File "sage/rings/padics/padic_template_element.pxi", line 742, in sage.rings.padics.qadic_flint_CA.pAdicTemplateElement.residue
        raise NotImplementedError("reduction modulo p^n with n>1.")
    NotImplementedError: reduction modulo p^n with n>1.
**********************************************************************
File "src/sage/rings/padics/padic_ext_element.pyx", line 471, in sage.rings.padics.padic_ext_element.pAdicExtElement.residue
Failed example:
    (a/3).residue(0)
Expected:
    Traceback (most recent call last):
    ...
    ValueError: element must have non-negative valuation in order to compute residue
Got:
    <BLANKLINE>
    Traceback (most recent call last):
      File "/Users/mkoeppe/s/sage/sage-rebasing/worktree-gcc11/src/sage/doctest/forker.py", line 718, in _run
        self.compile_and_execute(example, compiler, test.globs)
      File "/Users/mkoeppe/s/sage/sage-rebasing/worktree-gcc11/src/sage/doctest/forker.py", line 1137, in compile_and_execute
        exec(compiled, globs)
      File "<doctest sage.rings.padics.padic_ext_element.pAdicExtElement.residue[13]>", line 1, in <module>
        (a/Integer(3)).residue(Integer(0))
      File "sage/rings/padics/padic_template_element.pxi", line 725, in sage.rings.padics.qadic_flint_CR.pAdicTemplateElement.residue
        raise ValueError("element must have non-negative valuation in order to compute residue.")
    ValueError: element must have non-negative valuation in order to compute residue.
**********************************************************************

[mkoeppe]

Reviewer: Matthias Koeppe

[sagetrac-git]

Changed commit from 0be7871 to 93659db