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In this way, we can visualize the distributions of their traces of Frobenius. This leads to new observations on fluctuations with respect to the limiting symmetry imposed by the theory of Katz and Sarnak.<\/jats:p>","DOI":"10.1112\/s146115701400031x","type":"journal-article","created":{"date-parts":[[2014,8,5]],"date-time":"2014-08-05T10:34:15Z","timestamp":1407234855000},"page":"128-147","source":"Crossref","is-referenced-by-count":19,"title":["Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields"],"prefix":"10.1112","volume":"17","author":[{"given":"Reynald","family":"Lercier","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Christophe","family":"Ritzenthaler","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Florent","family":"Rovetta","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jeroen","family":"Sijsling","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2014,8,1]]},"reference":[{"key":"S146115701400031X_r39","unstructured":"39. 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