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Introduction
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L-functions
Degree:
1
2
3
4
$\zeta$ zeros
Modular Forms
GL(2)
Classical
Maass
Hilbert
Bianchi
Varieties
Curves
Elliptic:
$/\Q$
/NumberFields
Genus 2:
$/\Q$
Higher genus:
Families
Abelian Varieties:
$/\F_{q}$
Fields
Number fields:
Global
Local
Representations
Dirichlet Characters
Artin
Groups
Galois groups
Sato-Tate groups
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Completeness of the data
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Sato-Tate group labels
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Include irrational
$\mathrm{ST}^0$
Components
$\mathrm{P}[a_1=0]$
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SO(1)
U(1)
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U(1)_2
SU(2)_2
U(1)xU(1)
U(1)xSU(2)
SU(2)xSU(2)
USp(4)
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