Geodesic
Recognition and tabulation of $3$-manifolds up to complexity~$13$
Čebyševskij sbornik, Tome 21 (2020) no. 2, pp. 290-300

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We describe in breaf the complete table of closed irreducible orientable $3$-manifolds of complexity $\le 13$, and method of its creation and verification. Also we formulate a conjectures concerning the growth of the number of some kinds of manifolds. The appendix contains a short explanation of used terminology.
Keywords: three-dimensional manifolds, complexity of manifold, special spines, tabulation of three-dimensional manifolds. 
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     author = {S. V. Matveev and V. V. Tarkaev},
     title = {Recognition and tabulation of $3$-manifolds up to complexity~$13$},
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S. V. Matveev; V. V. Tarkaev. Recognition and tabulation of $3$-manifolds up to complexity~$13$. Čebyševskij sbornik, Tome 21 (2020) no. 2, pp. 290-300. http://geodesic.mathdoc.fr/item/CHEB_2020_21_2_a20/