The TQ equation of the 8 vertex model for complex elliptic roots of unity

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We extend our studies of the TQ equation introduced by Baxter in his 1972 solution of the 8 vertex model with parameter $η$ given by $2Lη=2m_1K+im_2K'$ from $m_2=0$ to the more general case of complex $η.$ We find that there are several different cases depending on the parity of $m_1$ and $m_2$.
30 pages, LATEX

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