For an n-gon, all harmonic moments are rational functions of the first 2n-2 of them; adding anti-harmonic moments, the whole moment field is generated by the symmetric functions plus one area-like moment.
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Algebraic relations between moments of plane polygons
For an n-gon, all harmonic moments are rational functions of the first 2n-2 of them; adding anti-harmonic moments, the whole moment field is generated by the symmetric functions plus one area-like moment.