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File:Discriminant49CubicFieldFundamentalDomainOfUnits.png

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761:"}},"text\/plain":{"en":{"":"inception"}}},"{\"value\":{\"time\":\"+2010-06-13T00:00:00Z\",\"timezone\":0,\"before\":0,\"after\":0,\"precision\":11,\"calendarmodel\":\"http:\\\/\\\/www.wikidata.org\\\/entity\\\/Q1985727\"},\"type\":\"time\"}":{"text\/html":{"en":{"P571":"13 June 2010"}},"text\/plain":{"en":{"P571":"13 June 2010"}}}}": --> 497: 409: 324: 38: 291: 329: 86: 656:"}},"text\/plain":{"en":{"P275":"GNU Free Documentation License, version 1.2 or later"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":14946043,\"id\":\"Q14946043\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P275":" 517:"}},"text\/plain":{"en":{"P2699":"https:\/\/commons.wikimedia.org\/wiki\/user:RobHar"}}},"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":4174,\"id\":\"P4174\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":" 509:"}},"text\/plain":{"en":{"P2093":"RobHar","P4174":"RobHar"}}},"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":2699,\"id\":\"P2699\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":" 854:{{Information |Description={{en|1=A fundamental domain in logarithmic space of the group of units of the number field ''K'' obtained by adjoining to '''Q''' a root of ''f''(''x'') = ''x''<sup>3</sup> + ''x''<sup>2</sup> −&nb 652:"}},"text\/plain":{"en":{"":"copyright license"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":50829104,\"id\":\"Q50829104\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P275":" 608:"}},"text\/plain":{"en":{"":"copyright status"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":50423863,\"id\":\"Q50423863\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P6216":" 717:"}},"text\/plain":{"en":{"":"source of file"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":66458942,\"id\":\"Q66458942\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P7482":" 501:"}},"text\/plain":{"en":{"":"creator"}}},"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":2093,\"id\":\"P2093\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":" 837: 713: 52: 48: 42: 97: 65: 718: 657: 653: 609: 514: 714: 605: 518: 510: 502: 758: 649: 498: 426: 660:"}},"text\/plain":{"en":{"P275":"Creative Commons Attribution-ShareAlike 3.0 Unported"}}}}": --> 243: = (−0.809587, 0.220724, 0.588863). The area of the fundamental domain is approximately 0.910114, so the regulator of 896: 424:; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled 744: 700: 683: 635: 168: − 1. This field is a Galois extension of degree 3. Its discriminant is 49 = 7. If α denotes the root of 377: 728: 619: 583: 568: 555: 721:"}},"text\/plain":{"en":{"P7482":"original creation by uploader"}}}}": --> 416: 836: 831: 768: 667: 528: 487: 56: 37: 339: 590: 421: 868: 376:– If you remix, transform, or build upon the material, you must distribute your contributions under the 521:"}},"text\/plain":{"en":{"":"Wikimedia username"}}}}": --> 612:"}},"text\/plain":{"en":{"P6216":"copyrighted"}}}}": --> 864:
The following pages on the English Knowledge use this file (pages on other projects are not listed):
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Permission is granted to copy, distribute and/or modify this document under the terms of the
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A fundamental domain in logarithmic space of the group of units of the number field
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192: = 2 − α. The fundamental domain is spanned by 236: = (0.588863, −0.809587, 0.220724) and 251:(1993). Computed using PARI/GP. Plotted using Mathematica. 260: 80: 471:
Add a one-line explanation of what this file represents
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Creative Commons Attribution-ShareAlike 3.0 Unported
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Creative Commons Attribution-ShareAlike 3.0 Unported
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is approximately 0.525455. See Table B.4 of Cohen's
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Discriminant49CubicFieldFundamentalDomainOfUnits.png
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Commons is a freely licensed media file repository.
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File:Discriminant49CubicFieldFundamentalDomainOfUnits.png
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