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In both cases, no such examples were known.<\/p>","DOI":"10.1090\/s0025-5718-2011-02468-3","type":"journal-article","created":{"date-parts":[[2011,2,4]],"date-time":"2011-02-04T13:50:02Z","timestamp":1296827402000},"page":"2289-2298","source":"Crossref","is-referenced-by-count":1,"title":["Some generalized Euclidean and 2-stage Euclidean number fields that are not norm-Euclidean"],"prefix":"10.1090","volume":"80","author":[{"given":"Jean-Paul","family":"Cerri","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"14","published-online":{"date-parts":[[2011,2,4]]},"reference":[{"key":"1","unstructured":"Pari\/GP, version 2.1.3, Bordeaux, 2000, http:\/\/pari.math.u-bordeaux.fr"},{"key":"2","isbn-type":"print","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1023\/A:1008244007194","article-title":"The Euclidean algorithm in cubic number fields","author":"Cavallar, Stefania","year":"1998","ISBN":"https:\/\/id.crossref.org\/isbn\/3110153645"},{"key":"3","unstructured":"J.-P. 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