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Gaussian quadrature rules have hitherto been computed up to the case n = 16 with 15 place accuracy [1].1 In the work in the Numerical Analysis Section of the National Bureau of Standards, frequ ent use has been made of the rule n = 16 and even of halving and quartering the interval for increased accuracy . For this reason, it is felt that the constants for rules of higher order will prove to be of use in working with electronic digital computers. For further evidence of the practical utility of high-order rules, the reader may consult Hartree [2], H enrici [3], and Reiz [4]. Exact values of these quantities are also interesting in view of certain unse ttled theoretical conjectures that have been made about distribution of the weigh ts and abscissas [7] .

Abscissas and weights for Gaussian quadratures of high order