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Taking a look back at Ashcroft and Mermin's Solid State Physics:
The high field Hall coefficient indicates carriers with positive charge for
Be, Mg, In, and Al.
The low field Hall coefficient indicates carriers with negative charge for
Al (there is a graph in my First Edition - p. 15)
The high field Hall coefficient indicates an effective density of carriers a
third of the free electron value.
So Al appears to be predominantly an electron conductor in low magnetic
fields and a hole conductor in high magnetic fields. (pages 299-303)
More complicated than I initially thought!