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Number of signatures of Fuchsian groups of positive orbit genus leading to automorphism groups of Riemann surfaces of genus n.
5

%I #8 Sep 14 2021 04:16:55

%S 2,7,9,14,12,26,18,33,38,42,39,64,47,76,83,87,80,126,102,147,142,150,

%T 162,219,188,236,254,266,265,354,302,373,401,417,446,530,468,562,615,

%U 645,644,777,716,849,897,895,946

%N Number of signatures of Fuchsian groups of positive orbit genus leading to automorphism groups of Riemann surfaces of genus n.

%C This includes signatures leading to subgroups of the full automorphism group.

%D Thomas Breuer, Characters and automorphism groups of compact Riemann surfaces, Cambridge University Press, 2000, p. 91.

%H Thomas Breuer, <a href="http://www.math.rwth-aachen.de/~Thomas.Breuer/genus/doc/errata.pdf">Errata et Addenda for Characters and Automorphism Groups of Compact Riemann Surfaces</a>.

%H Jen Paulhus, <a href="https://paulhus.math.grinnell.edu/monodromy.html">Branching data for curves up to genus 48</a>.

%Y Cf. A179982, A346293, A347368, A347369, A347371, A347372, A347373.

%K nonn,hard

%O 2,1

%A _Eric M. Schmidt_, Aug 29 2021