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The paper develops a construction for finding fully symmetric integration formulas of arbitrary degree 2 k + 1 in n -space such that the number of evaluation points is O ((2 n ) k )/ k !), n → ∞. Formulas of degrees 3, 5, 7, 9, are relatively simple and are presented in detail. The method has been tested by obtaining some special formulas of degrees 7, 9 and 11 but these are not presented here

Construction of fully symmetric numerical integration formulas of fully symmetric numerical integration formulas