An almost Belyi covering is an algebraic covering of the projective line, such that all ramified points except one simple ramified point lie above a set of 3 points of the projective line. In general, there are 1-dimensional families of these coverings with a fixed ramification pattern. (That is, Hurwitz spaces for these coverings are curves.) In this paper, three almost Belyi coverings of degrees 11, 12, and 20 are explicitly constructed. We demonstrate how these coverings can be used for computation of several algebraic solutions of the sixth Painlev\u00e9 equation.<\/p>","DOI":"10.1090\/s0025-5718-09-02233-9","type":"journal-article","created":{"date-parts":[[2009,6,30]],"date-time":"2009-06-30T14:39:02Z","timestamp":1246372742000},"page":"2371-2395","source":"Crossref","is-referenced-by-count":9,"title":["Computation of highly ramified coverings"],"prefix":"10.1090","volume":"78","author":[{"given":"Raimundas","family":"Vid\u016bnas","sequence":"first","affiliation":[]},{"given":"Alexander","family":"Kitaev","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2009,2,11]]},"reference":[{"issue":"4","key":"1","doi-asserted-by":"publisher","first-page":"455","DOI":"10.1023\/B:RAMA.0000012428.77217.bc","article-title":"Some examples of \ud835\udc45\ud835\udc46\u00b2\u2083(3)-transformations of ranks 5 and 6 as the higher order transformations for the hypergeometric function","volume":"7","author":"Andreev, F. 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