Classification of quintic eutactic forms |
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Authors: | Christian Batut |
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Institution: | A2X, Mathématiques, Université Bordeaux I, 351, cours de la Libération, 33405 Talence cedex, France |
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Abstract: | From the classical Voronoi algorithm, we derive an algorithm to classify quadratic positive definite forms by their minimal vectors; we define some new invariants for a class, for which several conjectures are proposed. Applying the algorithm to dimension 5 we obtain the table of the 136 classes in this dimension, we enumerate the 118 eutactic quintic forms, and we verify the Ash formula. |
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Keywords: | Quadratic form minimal vectors eutactic form |
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