These tables of bounds for discriminants of number fields were compiled on Nov. 29, 1976, and were widely circulated, but never published in their entirety. (See the paper "Bounds for discriminants and related estimates for class numbers, regulators, and zeros of zeta functions: A survey of recent results," Sem. Theorie des Nombres, Bordeaux, 2 (1990), pp. 119-141, available through the complete publications list.) While great care was taken in the preparation of the original tables to ensure bounds were rigorous, the tables presented here were obtained by applying optical character recognition to the original ones and correcting the output by hand. Thus there is a possibility that some mistakes may have slipped in.