The H-representation consists of equations and inequalities and the
equations seem to be in some canonical form. Is there a method that
returns the non-free variables (or indices), i.e. that are the variables
completely determined by the equations meaning once a value for the
other variables is fixed, then one can compute them and no further
restrictions apply.

E.g. for

sage: polytopes.simplex(2).Hrepresentation()
(An equation (1, 1, 1) x - 1 == 0,
 An inequality (0, -1, -1) x + 1 >= 0,
 An inequality (0, 1, 0) x + 0 >= 0,
 An inequality (0, 0, 1) x + 0 >= 0)

I simply want to get the list of indices [0], as the first component is
only determined by (1, 1, 1) x - 1 and does not appear in any of the
inequalities.

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