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Perfect Quadratic Forms Connected With a Lattice and Cubature Formulas

Kh. M. ShadimetovV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, University Street 4b, Tashkent 100174, UzbekistanOtabek GulomovV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, University Street 4b, Tashkent 100174, Uzbekistan
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In the present work, a new improved Voronoi algorithm is proposed for calculating the Voronoi neighborhood of a perfect form in many variables, and using this algorithm, all non-equivalent adjacent perfect forms in five variables are calculated.

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