File:Discriminant49CubicFieldFundamentalDomain.png
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Summary
| Description |
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. |
| Date | |
| Source | Own work |
| Author | RobHar |
| Other versions | File:Discriminant49CubicFieldFundamentalDomain.svg (svg version without shading) |
This diagram was created with Mathematica.
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 03:41, 13 June 2010 | 802 × 670 (10 KB) | RobHar | bigger numbers, remove zeroes, fewer ticks | |
| 02:46, 13 June 2010 | 940 × 782 (11 KB) | RobHar | {{Information |Description={{en|1=A fundamental domain of the maximal order of the field ''K'' obtained by adjoining to '''Q''' a root of ''f''(''x'') = ''x''<sup>3</sup> − ''x''<sup>2</sup> − 2''x'' + 1 |
File usage
The following pages on the English Wikipedia use this file (pages on other projects are not listed):
Global file usage
The following other wikis use this file:
- Usage on fr.wikipedia.org
- Discriminant d'un corps de nombres
- Usage on pt.wikipedia.org
- Discriminante de um corpo de números algébricos
- Usage on ru.wikipedia.org
- Дискриминант алгебраического числового поля