How many lines and circles are needed to construct the 65537-gon (known lower bounds)

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Johann Gustav Hermes went into exile for 10 years trying to find and write down a procedure for the construction of a regular 65537-agon only using a compass and a straightedge (and a pencil). He published a method for this in 1894, the paper being over 200 pages long.
My question is approximately how many circles and lines would be needed for such a construction (and if anyone knows, in his construction). Specifically I'm looking for lower bounds.