New knot tables based on the notion of knot families are given. Using the methods of experimental mathematics, particular results obtained for knots with $n\leq19$ crossings belonging to the families $p,pq,p1q,p11q,p111q,pqr,pq1r$ are extended, extrapolated and generalized to whole families. As the result, general formulas for Alexander polynomials, signatures, unknotting numbers, and data about symmetry properties of all knots belonging to the families mentioned, are derived and estimated.