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As it usually happens, figured it out myself soon after posting a question. Posting as answer for completeness.

The field can be accessed via g.base(). If a specific symbol for generator is needed, the grop constructor can be called as g = SU(3, q, var='x'), then set x = g.base().gens()[0] or simply as f = g.base() and x = f('x').

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No.2 Revision

As it usually happens, figured it out myself soon after posting a question. Posting as answer for completeness.

The field can be accessed via g.base(). g.base(). If a specific symbol for generator is needed, the grop group constructor can be called as g = SU(3, q, var='x'), var='x'), then set x = g.base().gens()[0] g.base().gens()[0] or simply as f = g.base() g.base() and x = f('x').f('x').