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Number of signatures of Fuchsian groups of orbit genus 0 leading to automorphism groups of Riemann surfaces of genus n.
5

%I #8 Sep 14 2021 04:17:12

%S 18,34,47,51,63,72,74,102,130,103,128,158,136,178,200,194,197,272,235,

%T 289,299,241,337,418,354,402,477,423,471,567,503,577,618,596,704,816,

%U 672,763,903,875,891,1028,954,1097,1187,1055,1221

%N Number of signatures of Fuchsian groups of orbit genus 0 leading to automorphism groups of Riemann surfaces of genus n.

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

%C Breuer's book erroneously gives a(33) = 576. (See errata.)

%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, A347370, A347371, A347372, A347373.

%K nonn,hard

%O 2,1

%A _Eric M. Schmidt_, Aug 29 2021