File:Discriminant49CubicFieldFundamentalDomain.svg

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English: A fundamental domain of the maximal order of the field K obtained by adjoining to Q a root of f(x) = x3  x2  2x + 1. This field is a Galois extension of degree 3. Its discriminant is 49=72. Accordingly, the volume of the fundamental domain is 7. A basis for its lattice is (approximately) {(1,1,1),(1.2469796037,0.4450418679,1.8019377358),(1.8019377358,1.2469796037,0.4450418679)}. Computed using PARI/GP. Plotted using Mathematica.
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Author RobHar
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