Linear map and spin I. n-focal tensor and Partition function

Hyperelliptic theta functions are set in context to ambiguity of using epipolar geometry on twisted cubic curves. Complex multiplication on elliptic curves with ambiguous correlations is set in context to onedimensional complex maps. Chaotic continued fractions are set in context to ternary continued fractions and to the elliptic addition theorem, Poncelet closure and scattering amplitudes in quantum statistics.