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Weight Half Forms

Modular forms of weight 1/2 are constructed directly as q-expansions following the explicit description given by Serre and Stark (see [SS77]).

WeightOneHalfData(M) : ModFrm -> List
For a space M of modular forms of weight 1/2, this returns the basis of the space as described by Serre and Stark. A list of tuples is returned; each tuple contains a character ψand an integer t, and the corresponding modular form is the theta series defined as the sum over all integers n of ψ(n) q(t n2).
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Version: V2.19 of Wed Apr 24 15:09:57 EST 2013