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IDENTITIES BETWEEN HECKE EIGENFORMS

https://cst.temple.edu/sites/cst/files/theses1/bao.pdf

53028q3 + 262144q4 5556930q5 + O(q6): The eigenbasis that spans the old subspace is given by = g3 (z)E8(z) = q + 456q2 + 50652q3 316352q4 2377410q5 + O(q6) = g4 (2z)E8(2z) = q2 + 456q4 + O(q6):