Geodesic
The construction of quadrature formulae
Izvestiya. Mathematics , Tome 59 (1995) no. 4, pp. 665-670

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A method for effectively constructing quadrature formulae that are exact on Fourier polynomials is proposed. This method is based on the arithmetic of cyclotomic fields, and depends only slightly on the degree of the polynomial. 
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     author = {S. M. Voronin},
     title = {The construction of quadrature formulae},
     journal = {Izvestiya. Mathematics },
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     number = {4},
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S. M. Voronin. The construction of quadrature formulae. Izvestiya. Mathematics , Tome 59 (1995) no. 4, pp. 665-670. http://geodesic.mathdoc.fr/item/IM2_1995_59_4_a0/