• L-functions
• SpecialValues

"Relative degree" is over some base number field; multiply by the absolute degree of the number field to get the degree in the sense of the Selberg class. Avoid motives if possible.

The Selberg class parameters should include indication of which values are critical (based on the gamma factors).

Relative degree 1

Survey, including:

• \zeta(2m)

• Class Number Formula

• Stark's conjecture

• relationship with K-theory

• Artin L-functions

Relative degree 2

• Kohnen-Zagier formula. Link to Tornaria data.

• Birch-Swinnerton-Dyer conjecture (Tim)

• Weight 4 modular forms (William)

Higher relative degree

• Which values are special/critical? (explain normalization)

• Symmetric powers

• Symmetric powers (Mark)

• Beilinson conjectures
• Bloch-Kato (map out cases where we can describe everything)

$p$-adic analogues

• Analogues of Stark's conjecture (Dasgupta?)
• Mazur-Tate-Teitelbaum for elliptic curves

Function fields

• Ulmer's theorem

What we want to compute (or have computed, or know how to compute)

• Hecke characters

• BSD (p-adic regulators)

• K2 for curves (de Jeu, Dokchitser, Zagier)
• Dedekind zeta functions (see PARI)
• BSD components for genus 2 curves (Flynn-Leprevost-Schaefer-Stein-Stoll-Wetherell) and higher genus (Dokchitser)

Should separate algebraic/transcendental parts when reasonable, and further separate into constituents (e.g., torsion order, Tamagawa numbers). Maybe also want to pick out instances of extra vanishing for central values.