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We prove there are exactly 16 arithmetic lattices of hyperbolic 3-space whichare generated by two elements of finite orders p and q with p,q at least six.We also verify a conjecture of H.M. Hilden, M.T. Lozano, and J.M. Montesinosconcerning the orders of the singular sets of arithmetic orbifold Dehnsurgeries on two bridge knot and link complements.

The (p, q)-arithmetic hyperbolic lattices; p, q greater than or equal to 6