if you take the series definition of a Jacobian theta function, and translate the q^((n-R)^2 * exp(2 *(n +R) * I z) in opposite directions real R. even moreso: change it to q^((n-sqrt(2)*R)^2 * exp(2 *(n +sqrt(3)*R) * I z)
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preliminary experiments suggest that this does not affect the lattice of roots, but the quasi-double-periodicity is no longer the case (because the frequencies are irrational multiples of one another)pic.twitter.com/XTW2SauB6j
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Replying to @graveolens
Does it ever go periodic? What's in the extreme regions?
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Replying to @pegasusepsilon
It is not clear: I only used 80 terms or so. I need to try again in arb. Moire effects.
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Replying to @graveolens @pegasusepsilon
Oh, eek, this is something different. I'm a lottle sleep depped: this is a Jacobian theta function where the index in the q term and z term is offset by irrational multiples of a scalar pm the index
4:22 AM - 11 Mar 2020
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