A347369 Number of signatures of Fuchsian groups of orbit genus 0 leading to automorphism groups of Riemann surfaces of genus n.

18, 34, 47, 51, 63, 72, 74, 102, 130, 103, 128, 158, 136, 178, 200, 194, 197, 272, 235, 289, 299, 241, 337, 418, 354, 402, 477, 423, 471, 567, 503, 577, 618, 596, 704, 816, 672, 763, 903, 875, 891, 1028, 954, 1097, 1187, 1055, 1221

Offset

2,1

Comments

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

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

References

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

Links

Table of n, a(n) for n=2..48.

Thomas Breuer, Errata et Addenda for Characters and Automorphism Groups of Compact Riemann Surfaces.

Jen Paulhus, Branching data for curves up to genus 48.

Crossrefs

Cf. A179982, A346293, A347368, A347370, A347371, A347372, A347373.

Sequence in context: A214465 A296860 A190150 * A357439 A044063 A044444

Adjacent sequences: A347366 A347367 A347368 * A347370 A347371 A347372

Keyword

nonn,hard

Author

Eric M. Schmidt, Aug 29 2021

Status

approved