Presently hadamard_matrix() only returns matrices obtained by just two of several constructions Sage knows.

Signature:      hadamard_matrix(n, existence=False, check=True)
Docstring:     
   This function is available as hadamard_matrix(...) and
   matrix.hadamard(...).

   Tries to construct a Hadamard matrix using a combination of Paley
   and Sylvester constructions.

It should use all Sage has (these from skew_hadamard_matrix())

CC: @dcoudert

Component: combinatorics

Author: Matteo Cati

Branch/Commit: 1f2bd70

Reviewer: Dima Pasechnik

Issue created by migration from https://trac.sagemath.org/ticket/32267