{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,8]],"date-time":"2025-09-08T06:38:55Z","timestamp":1757313535248},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2020,9,19]],"date-time":"2020-09-19T00:00:00Z","timestamp":1600473600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,9,19]],"date-time":"2020-09-19T00:00:00Z","timestamp":1600473600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["AAECC"],"published-print":{"date-parts":[[2022,8]]},"DOI":"10.1007\/s00200-020-00460-w","type":"journal-article","created":{"date-parts":[[2020,9,19]],"date-time":"2020-09-19T11:02:59Z","timestamp":1600513379000},"page":"437-455","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["InfoMod: a visual and computational approach to Gauss\u2019 binary quadratic forms"],"prefix":"10.1007","volume":"33","author":[{"given":"Ayberk","family":"Zeytin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,9,19]]},"reference":[{"key":"460_CR1","unstructured":"Biehl, I., Buchmann, J.: An analysis of the reduction algorithms for binary quadratic forms. In: Voronoi\u2019s Impact on Modern Science, pp. 71\u201398 (1997)"},{"key":"460_CR2","unstructured":"Buchmann, J., Vollmer, U.: Binary quadratic forms: an algorithmic approach. In: Algorithms and Computation in Mathematics, vol. 20. Springer, Berlin (2007)"},{"key":"460_CR3","doi-asserted-by":"crossref","unstructured":"Buell, D.A.: Binary Quadratic Forms. Classical Theory and Modern Computations. Springer, New York (1989)","DOI":"10.1007\/978-1-4612-4542-1"},{"issue":"3\u20134","key":"460_CR4","doi-asserted-by":"publisher","first-page":"433","DOI":"10.1006\/jsco.1996.0143","volume":"24","author":"H Cohen","year":"1997","unstructured":"Cohen, H., Diaz y Diaz, F., Olivier, M.: Subexponential algorithms for class group and unit computations. J. Symb. Comput. 24(3\u20134), 433\u2013441 (1997)","journal-title":"J. Symb. Comput."},{"key":"460_CR5","unstructured":"Conway, J.H.: The sensual (quadratic) form, volume\u00a026 of Carus Mathematical Monographs. Mathematical Association of America, Washington (1997) (With the assistance of Francis Y. C. Fung)"},{"key":"460_CR6","unstructured":"Cox, D.A.: Primes of the form $$x^2 + ny^2$$. Pure and Applied Mathematics (Hoboken), 2nd edn. Wiley, Hoboken, NJ, (2013) (Fermat, class field theory, and complex multiplication)"},{"issue":"3","key":"460_CR7","first-page":"156","volume":"21","author":"S Crawford","year":"2006","unstructured":"Crawford, S., Boese, E.: Actionscript: a gentle introduction to programming. J. Comput. Sci. Coll. 21(3), 156\u2013168 (2006)","journal-title":"J. Comput. Sci. Coll."},{"key":"460_CR8","doi-asserted-by":"publisher","DOI":"10.1515\/9781400839049","volume-title":"A Primer on Mapping Class Groups","author":"B Farb","year":"2011","unstructured":"Farb, B., Margalit, D.: A Primer on Mapping Class Groups. Princeton University Press, Princeton (2011)"},{"key":"460_CR9","unstructured":"Gauss, C.F.: Disquisitiones Arithmeticae (translated into English by Arthur A. Clarke). S. J. Yale University Press, New Haven (1966)"},{"key":"460_CR10","doi-asserted-by":"crossref","unstructured":"Jacobson Jr., M.J., Williams, H.C.: Modular arithmetic on elements of small norm in quadratic fields. Des Codes Cryptogr 27, 93\u2013110 (2002) (Special issue in honour of Ronald C. Mullin, Part II)","DOI":"10.1023\/A:1016550519087"},{"key":"460_CR11","volume-title":"Solving the Pell Equation. CMS Books in Mathematics\/Ouvrages de Math\u00e9matiques de la SMC","author":"MJ Jacobson Jr","year":"2009","unstructured":"Jacobson Jr., M.J., Williams, H.C.: Solving the Pell Equation. CMS Books in Mathematics\/Ouvrages de Math\u00e9matiques de la SMC. Springer, New York (2009)"},{"key":"460_CR12","unstructured":"Jacobson\u00a0Jr., M.J.: Subexponential Class Group Computation in Quadratic Orders. Ph.D. thesis, Technische Universit\u00e4t, Darmstadt (1999)"},{"issue":"2","key":"460_CR13","first-page":"485","volume":"260","author":"JC Lagarias","year":"1980","unstructured":"Lagarias, J.C.: On the computational complexity of determining the solvability or unsolvability of the equation $$X^{2}-DY^{2}=-1$$. Trans. Am. Math. Soc. 260(2), 485\u2013508 (1980)","journal-title":"Trans. Am. Math. Soc."},{"issue":"2","key":"460_CR14","doi-asserted-by":"publisher","first-page":"142","DOI":"10.1016\/0196-6774(80)90021-8","volume":"1","author":"JC Lagarias","year":"1980","unstructured":"Lagarias, J.C.: Worst-case complexity bounds for algorithms in the theory of integral quadratic forms. J. Algorithms 1(2), 142\u2013186 (1980)","journal-title":"J. Algorithms"},{"key":"460_CR15","unstructured":"Lagrange, J.L.: \u00dcber die L\u00f6sung der unbestimmten Probleme zweiten Grades (1768). Aus dem Franz\u00f6sischen \u00fcbersetzt und herausgegeben von E. Netto. Leipzig: Wilhelm Engelmann. 131 S. $$8^\\circ$$ (Ostwalds Klassiker Nr. 146) (1904)"},{"key":"460_CR16","doi-asserted-by":"crossref","unstructured":"Sawilla, R.E., Silvester, A.K., Williams, H.C.: A new look at an old equation. In: Algorithmic number theory. 8th international symposium, ANTS-VIII Banff, Canada, May 17\u201322, 2008 Proceedings, pp. 37\u201359. Berlin: Springer (2008)","DOI":"10.1007\/978-3-540-79456-1_2"},{"key":"460_CR17","doi-asserted-by":"crossref","unstructured":"Sch\u00f6nhage, A.: Fast reduction and composition of binary quadratic forms. In: Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation, pp. 128\u2013133. ACM (1991)","DOI":"10.1145\/120694.120711"},{"key":"460_CR18","doi-asserted-by":"crossref","unstructured":"Serre, J.-P.: A Course in Arithmetic. Springer, New York (1973). Translated from the French, p. 7. Graduate Texts in Mathematics, No. 7","DOI":"10.1007\/978-1-4684-9884-4"},{"key":"460_CR19","doi-asserted-by":"crossref","unstructured":"Shanks, D.: Class number, a theory of factorization, and genera. In: 1969 Number Theory Institute (Proceedings of Symposium of Pure Mathematics, Vol. XX, State University of New York, Stony Brook, NY, 1969), pp. 415\u2013440 (1971)","DOI":"10.1090\/pspum\/020\/0316385"},{"key":"460_CR20","doi-asserted-by":"crossref","unstructured":"Uluda\u011f, A.M., Zeytin, A.: A panorama of the fundamental group of the modular orbifold. In: Handbook of Teichm\u00fcller Theory, number\u00a0VI in IRMA Lectures in Mathematics and Theoretical Physics, pp. 501\u2013519. European Mathematical Society (2016)","DOI":"10.4171\/161-1\/16"},{"issue":"2","key":"460_CR21","doi-asserted-by":"publisher","first-page":"445","DOI":"10.5802\/jtnb.987","volume":"29","author":"AM Uluda\u011f","year":"2017","unstructured":"Uluda\u011f, A.M., Zeytin, A., Durmu\u015f, M.: Binary quadratic forms as dessins. J. Th\u00e9or. Nombres Bordx. 29(2), 445\u2013469 (2017)","journal-title":"J. Th\u00e9or. Nombres Bordx."},{"key":"460_CR22","doi-asserted-by":"crossref","unstructured":"Zagier, D.B.: Zetafunktionen und quadratische K\u00f6rper. Eine Einf\u00fchrung in die h\u00f6here Zahlentheorie (1981)","DOI":"10.1007\/978-3-642-61829-1"},{"key":"460_CR23","doi-asserted-by":"publisher","first-page":"203","DOI":"10.5486\/PMD.2016.7470","volume":"89","author":"A Zeytin","year":"2016","unstructured":"Zeytin, A.: On reduction theory of binary quadratic forms. Publ. Math. Debrecen 89, 203\u2013221 (2016)","journal-title":"Publ. Math. Debrecen"}],"container-title":["Applicable Algebra in Engineering, Communication and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-020-00460-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00200-020-00460-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-020-00460-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,13]],"date-time":"2022-07-13T21:31:51Z","timestamp":1657747911000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00200-020-00460-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,19]]},"references-count":23,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2022,8]]}},"alternative-id":["460"],"URL":"https:\/\/doi.org\/10.1007\/s00200-020-00460-w","relation":{},"ISSN":["0938-1279","1432-0622"],"issn-type":[{"value":"0938-1279","type":"print"},{"value":"1432-0622","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,9,19]]},"assertion":[{"value":"8 April 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 August 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 September 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 September 2020","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}