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The newspaces attached to one of these families are used to give a more memory efficient version of our algorithm.<\/p>","DOI":"10.1090\/mcom\/2992","type":"journal-article","created":{"date-parts":[[2015,7,7]],"date-time":"2015-07-07T08:54:06Z","timestamp":1436259246000},"page":"931-960","source":"Crossref","is-referenced-by-count":4,"title":["Computing genus 1 Jacobi forms"],"prefix":"10.1090","volume":"85","author":[{"given":"Martin","family":"Raum","sequence":"first","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2015,7,7]]},"reference":[{"key":"1","isbn-type":"print","first-page":"12","article-title":"On the injectivity of the Kudla-Millson lift and surjectivity of the Borcherds lift","author":"Bruinier, Jan Hendrik","year":"2010","ISBN":"https:\/\/id.crossref.org\/isbn\/9780521106641"},{"issue":"4","key":"2","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1007\/s229-001-8027-1","article-title":"Eisenstein series attached to lattices and modular forms on orthogonal groups","volume":"106","author":"Bruinier, Jan Hendrik","year":"2001","journal-title":"Manuscripta Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-2611","issn-type":"print"},{"issue":"3","key":"3","doi-asserted-by":"publisher","first-page":"491","DOI":"10.1007\/s002220050232","article-title":"Automorphic forms with singularities on Grassmannians","volume":"132","author":"Borcherds, Richard E.","year":"1998","journal-title":"Invent. 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