DirichletGroup does not work for rings with unhashable elements

[saraedum]

The following fails because p-adics are not hashable:

sage: K.<a> = Qq(9)
sage: DirichletGroup(2,base_ring=K,zeta=K(-1),zeta_order=2)
TypeError: unhashable type: 'sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement'

Depends on #16317

Component: modular forms

Keywords: sd59, hash

Author: Julian Rueth

Branch/Commit: u/saraedum/ticket/16258 @ 6ce4fc8

Issue created by migration from https://trac.sagemath.org/ticket/16258

[saraedum]

Branch: u/saraedum/ticket/16258

[sagetrac-git]

Commit: 6ce4fc8

[sagetrac-git]

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

78879f0	Merge branch 'develop' into ticket/16258
7a0f094	Introduced _cache_key for sage objects
fa16bc7	Merge branch 'u/saraedum/ticket/16251' of git://trac.sagemath.org/sage into ticket/16316
798aaf8	Implemented _cache_key() for polynomials
877302e	Enable caching for non-hashable objects
ba9befa	Enabled caching for unhashable objects in factories
f661642	Merge branch 'u/saraedum/ticket/16317' of git://trac.sagemath.org/sage into ticket/16258
6ce4fc8	fixed doctest

[saraedum]

Dependencies: #16317

[saraedum]

Author: Julian Rueth

[saraedum]

Changed keywords from none to sd59, hash

[jdemeyer]

comment:7

What's the relation between #16342 and #16258? In any case, needs rebasing.

[saraedum]

comment:8

Oops, it seems I fixed the same bug twice.