Might mean (unverified): New, transformed version of something.
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We found one dictionary that defines the word newform:

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  1. newform: Wiktionary

Definitions from Wiktionary (newform)

verb:  (obsolete, transitive) To form or shape anew; reform.
noun:  (mathematics, number theory) A cusp form that is "new" at a given level N, where the levels are the nested subgroups Γ₀(N) of the modular group, with N ordered by divisibility.

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