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Hecke Tree

z maps to {pz, (z+1)/p,...(z+p-1)/p } (the 1-sphere).

hecke_tree.mov

CM Points:

Points of the form z = (-b +sqrt(D) ) / 2a for negative D

cm_points.mov

CM Points with multiple orbits

Multiple orbits with respect to multiplication of an ideal (P) which is a factor for some prime p.

cm_points_multiple_orbits.mov