{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T10:09:12Z","timestamp":1776766152756,"version":"3.51.2"},"reference-count":5,"publisher":"American Mathematical Society (AMS)","issue":"221","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>\n                    Using a new regulator bound we determine unit groups and class groups of the 289040 quintic algebraic number fields with absolute discriminant less than\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"2 times 10 Superscript 7\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:mn>2<\/mml:mn>\n                            <mml:mo>\n                              \u00d7\n                              \n                            <\/mml:mo>\n                            <mml:msup>\n                              <mml:mn>10<\/mml:mn>\n                              <mml:mn>7<\/mml:mn>\n                            <\/mml:msup>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">2 \\times 10^7<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    (totally real fields), respectively\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"5 times 10 Superscript 6\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:mn>5<\/mml:mn>\n                            <mml:mo>\n                              \u00d7\n                              \n                            <\/mml:mo>\n                            <mml:msup>\n                              <mml:mn>10<\/mml:mn>\n                              <mml:mn>6<\/mml:mn>\n                            <\/mml:msup>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">5 \\times 10^6<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    (other signatures). We list significant data.\n                  <\/p>","DOI":"10.1090\/s0025-5718-98-00927-2","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T18:14:28Z","timestamp":1027707268000},"page":"361-367","source":"Crossref","is-referenced-by-count":2,"title":["Tables of unit groups and class groups of quintic fields and a regulator bound"],"prefix":"10.1090","volume":"67","author":[{"given":"M.","family":"Pohst","sequence":"first","affiliation":[]},{"given":"K.","family":"Wildanger","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[1998]]},"reference":[{"key":"1","series-title":"Graduate Texts in Mathematics","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-02945-9","volume-title":"A course in computational algebraic number theory","volume":"138","author":"Cohen, Henri","year":"1993","ISBN":"https:\/\/id.crossref.org\/isbn\/3540556400"},{"key":"2","unstructured":"M. Daberkow, C. Fieker, J. Kl\u00fcners, M. Pohst, K. Roegner, M. Sch\u00f6rnig and K. Wildanger, KANT V4, to appear in J. Symbolic Comp."},{"key":"3","series-title":"DMV Seminar","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8589-8","volume-title":"Computational algebraic number theory","volume":"21","author":"Pohst, Michael E.","year":"1993","ISBN":"https:\/\/id.crossref.org\/isbn\/3764329130"},{"key":"4","series-title":"Encyclopedia of Mathematics and its Applications","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511661952","volume-title":"Algorithmic algebraic number theory","volume":"30","author":"Pohst, M.","year":"1989","ISBN":"https:\/\/id.crossref.org\/isbn\/0521330602"},{"issue":"207","key":"5","doi-asserted-by":"publisher","first-page":"361","DOI":"10.2307\/2153581","article-title":"A table of quintic number fields","volume":"63","author":"Schwarz, A.","year":"1994","journal-title":"Math. Comp.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-5718","issn-type":"print"}],"container-title":["Mathematics of Computation"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.ams.org\/mcom\/1998-67-221\/S0025-5718-98-00927-2\/S0025-5718-98-00927-2.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/www.ams.org\/mcom\/1998-67-221\/S0025-5718-98-00927-2\/S0025-5718-98-00927-2.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T21:41:32Z","timestamp":1776721292000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ams.org\/mcom\/1998-67-221\/S0025-5718-98-00927-2\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998]]},"references-count":5,"journal-issue":{"issue":"221","published-print":{"date-parts":[[1998,1]]}},"alternative-id":["S0025-5718-98-00927-2"],"URL":"https:\/\/doi.org\/10.1090\/s0025-5718-98-00927-2","archive":["CLOCKSS","Portico"],"relation":{},"ISSN":["1088-6842","0025-5718"],"issn-type":[{"value":"1088-6842","type":"electronic"},{"value":"0025-5718","type":"print"}],"subject":[],"published":{"date-parts":[[1998]]}}}