LMFDB - Group of Dirichlet characters

Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$

$K$ is the global number field defined by $ x^{14} - 2 x^{13} - 49 x^{12} + 130 x^{11} + 690 x^{10} - 2164 x^{9} - 3225 x^{8} + 13320 x^{7} + \cdots + 7 $ x^14 - 2*x^13 - 49*x^12 + 130*x^11 + 690*x^10 - 2164*x^9 - 3225*x^8 + 13320*x^7 + 86*x^6 - 26074*x^5 + 20214*x^4 - 1996*x^3 - 1359*x^2 + 78*x + 7

$\times$	$\chi_{ 344 } ( 1, ·)$	$\chi_{ 344 } ( 133, ·)$	$\chi_{ 344 } ( 97, ·)$	$\chi_{ 344 } ( 145, ·)$	$\chi_{ 344 } ( 41, ·)$	$\chi_{ 344 } ( 193, ·)$	$\chi_{ 344 } ( 269, ·)$	$\chi_{ 344 } ( 173, ·)$	$\chi_{ 344 } ( 305, ·)$	$\chi_{ 344 } ( 213, ·)$	$\chi_{ 344 } ( 121, ·)$	$\chi_{ 344 } ( 293, ·)$	$\chi_{ 344 } ( 317, ·)$	$\chi_{ 344 } ( 21, ·)$
$\chi_{ 344 }(1, ·)$	$\chi_{ 344 } ( 1, ·)$	$\chi_{ 344 } ( 133, ·)$	$\chi_{ 344 } ( 97, ·)$	$\chi_{ 344 } ( 145, ·)$	$\chi_{ 344 } ( 41, ·)$	$\chi_{ 344 } ( 193, ·)$	$\chi_{ 344 } ( 269, ·)$	$\chi_{ 344 } ( 173, ·)$	$\chi_{ 344 } ( 305, ·)$	$\chi_{ 344 } ( 213, ·)$	$\chi_{ 344 } ( 121, ·)$	$\chi_{ 344 } ( 293, ·)$	$\chi_{ 344 } ( 317, ·)$	$\chi_{ 344 } ( 21, ·)$
$\chi_{ 344 }(133, ·)$	$\chi_{ 344 } ( 133, ·)$	$\chi_{ 344 } ( 145, ·)$	$\chi_{ 344 } ( 173, ·)$	$\chi_{ 344 } ( 21, ·)$	$\chi_{ 344 } ( 293, ·)$	$\chi_{ 344 } ( 213, ·)$	$\chi_{ 344 } ( 1, ·)$	$\chi_{ 344 } ( 305, ·)$	$\chi_{ 344 } ( 317, ·)$	$\chi_{ 344 } ( 121, ·)$	$\chi_{ 344 } ( 269, ·)$	$\chi_{ 344 } ( 97, ·)$	$\chi_{ 344 } ( 193, ·)$	$\chi_{ 344 } ( 41, ·)$
$\chi_{ 344 }(97, ·)$	$\chi_{ 344 } ( 97, ·)$	$\chi_{ 344 } ( 173, ·)$	$\chi_{ 344 } ( 121, ·)$	$\chi_{ 344 } ( 305, ·)$	$\chi_{ 344 } ( 193, ·)$	$\chi_{ 344 } ( 145, ·)$	$\chi_{ 344 } ( 293, ·)$	$\chi_{ 344 } ( 269, ·)$	$\chi_{ 344 } ( 1, ·)$	$\chi_{ 344 } ( 21, ·)$	$\chi_{ 344 } ( 41, ·)$	$\chi_{ 344 } ( 213, ·)$	$\chi_{ 344 } ( 133, ·)$	$\chi_{ 344 } ( 317, ·)$
$\chi_{ 344 }(145, ·)$	$\chi_{ 344 } ( 145, ·)$	$\chi_{ 344 } ( 21, ·)$	$\chi_{ 344 } ( 305, ·)$	$\chi_{ 344 } ( 41, ·)$	$\chi_{ 344 } ( 97, ·)$	$\chi_{ 344 } ( 121, ·)$	$\chi_{ 344 } ( 133, ·)$	$\chi_{ 344 } ( 317, ·)$	$\chi_{ 344 } ( 193, ·)$	$\chi_{ 344 } ( 269, ·)$	$\chi_{ 344 } ( 1, ·)$	$\chi_{ 344 } ( 173, ·)$	$\chi_{ 344 } ( 213, ·)$	$\chi_{ 344 } ( 293, ·)$
$\chi_{ 344 }(41, ·)$	$\chi_{ 344 } ( 41, ·)$	$\chi_{ 344 } ( 293, ·)$	$\chi_{ 344 } ( 193, ·)$	$\chi_{ 344 } ( 97, ·)$	$\chi_{ 344 } ( 305, ·)$	$\chi_{ 344 } ( 1, ·)$	$\chi_{ 344 } ( 21, ·)$	$\chi_{ 344 } ( 213, ·)$	$\chi_{ 344 } ( 121, ·)$	$\chi_{ 344 } ( 133, ·)$	$\chi_{ 344 } ( 145, ·)$	$\chi_{ 344 } ( 317, ·)$	$\chi_{ 344 } ( 269, ·)$	$\chi_{ 344 } ( 173, ·)$
$\chi_{ 344 }(193, ·)$	$\chi_{ 344 } ( 193, ·)$	$\chi_{ 344 } ( 213, ·)$	$\chi_{ 344 } ( 145, ·)$	$\chi_{ 344 } ( 121, ·)$	$\chi_{ 344 } ( 1, ·)$	$\chi_{ 344 } ( 97, ·)$	$\chi_{ 344 } ( 317, ·)$	$\chi_{ 344 } ( 21, ·)$	$\chi_{ 344 } ( 41, ·)$	$\chi_{ 344 } ( 173, ·)$	$\chi_{ 344 } ( 305, ·)$	$\chi_{ 344 } ( 133, ·)$	$\chi_{ 344 } ( 293, ·)$	$\chi_{ 344 } ( 269, ·)$
$\chi_{ 344 }(269, ·)$	$\chi_{ 344 } ( 269, ·)$	$\chi_{ 344 } ( 1, ·)$	$\chi_{ 344 } ( 293, ·)$	$\chi_{ 344 } ( 133, ·)$	$\chi_{ 344 } ( 21, ·)$	$\chi_{ 344 } ( 317, ·)$	$\chi_{ 344 } ( 121, ·)$	$\chi_{ 344 } ( 97, ·)$	$\chi_{ 344 } ( 173, ·)$	$\chi_{ 344 } ( 193, ·)$	$\chi_{ 344 } ( 213, ·)$	$\chi_{ 344 } ( 41, ·)$	$\chi_{ 344 } ( 305, ·)$	$\chi_{ 344 } ( 145, ·)$
$\chi_{ 344 }(173, ·)$	$\chi_{ 344 } ( 173, ·)$	$\chi_{ 344 } ( 305, ·)$	$\chi_{ 344 } ( 269, ·)$	$\chi_{ 344 } ( 317, ·)$	$\chi_{ 344 } ( 213, ·)$	$\chi_{ 344 } ( 21, ·)$	$\chi_{ 344 } ( 97, ·)$	$\chi_{ 344 } ( 1, ·)$	$\chi_{ 344 } ( 133, ·)$	$\chi_{ 344 } ( 41, ·)$	$\chi_{ 344 } ( 293, ·)$	$\chi_{ 344 } ( 121, ·)$	$\chi_{ 344 } ( 145, ·)$	$\chi_{ 344 } ( 193, ·)$
$\chi_{ 344 }(305, ·)$	$\chi_{ 344 } ( 305, ·)$	$\chi_{ 344 } ( 317, ·)$	$\chi_{ 344 } ( 1, ·)$	$\chi_{ 344 } ( 193, ·)$	$\chi_{ 344 } ( 121, ·)$	$\chi_{ 344 } ( 41, ·)$	$\chi_{ 344 } ( 173, ·)$	$\chi_{ 344 } ( 133, ·)$	$\chi_{ 344 } ( 145, ·)$	$\chi_{ 344 } ( 293, ·)$	$\chi_{ 344 } ( 97, ·)$	$\chi_{ 344 } ( 269, ·)$	$\chi_{ 344 } ( 21, ·)$	$\chi_{ 344 } ( 213, ·)$
$\chi_{ 344 }(213, ·)$	$\chi_{ 344 } ( 213, ·)$	$\chi_{ 344 } ( 121, ·)$	$\chi_{ 344 } ( 21, ·)$	$\chi_{ 344 } ( 269, ·)$	$\chi_{ 344 } ( 133, ·)$	$\chi_{ 344 } ( 173, ·)$	$\chi_{ 344 } ( 193, ·)$	$\chi_{ 344 } ( 41, ·)$	$\chi_{ 344 } ( 293, ·)$	$\chi_{ 344 } ( 305, ·)$	$\chi_{ 344 } ( 317, ·)$	$\chi_{ 344 } ( 145, ·)$	$\chi_{ 344 } ( 97, ·)$	$\chi_{ 344 } ( 1, ·)$
$\chi_{ 344 }(121, ·)$	$\chi_{ 344 } ( 121, ·)$	$\chi_{ 344 } ( 269, ·)$	$\chi_{ 344 } ( 41, ·)$	$\chi_{ 344 } ( 1, ·)$	$\chi_{ 344 } ( 145, ·)$	$\chi_{ 344 } ( 305, ·)$	$\chi_{ 344 } ( 213, ·)$	$\chi_{ 344 } ( 293, ·)$	$\chi_{ 344 } ( 97, ·)$	$\chi_{ 344 } ( 317, ·)$	$\chi_{ 344 } ( 193, ·)$	$\chi_{ 344 } ( 21, ·)$	$\chi_{ 344 } ( 173, ·)$	$\chi_{ 344 } ( 133, ·)$
$\chi_{ 344 }(293, ·)$	$\chi_{ 344 } ( 293, ·)$	$\chi_{ 344 } ( 97, ·)$	$\chi_{ 344 } ( 213, ·)$	$\chi_{ 344 } ( 173, ·)$	$\chi_{ 344 } ( 317, ·)$	$\chi_{ 344 } ( 133, ·)$	$\chi_{ 344 } ( 41, ·)$	$\chi_{ 344 } ( 121, ·)$	$\chi_{ 344 } ( 269, ·)$	$\chi_{ 344 } ( 145, ·)$	$\chi_{ 344 } ( 21, ·)$	$\chi_{ 344 } ( 193, ·)$	$\chi_{ 344 } ( 1, ·)$	$\chi_{ 344 } ( 305, ·)$
$\chi_{ 344 }(317, ·)$	$\chi_{ 344 } ( 317, ·)$	$\chi_{ 344 } ( 193, ·)$	$\chi_{ 344 } ( 133, ·)$	$\chi_{ 344 } ( 213, ·)$	$\chi_{ 344 } ( 269, ·)$	$\chi_{ 344 } ( 293, ·)$	$\chi_{ 344 } ( 305, ·)$	$\chi_{ 344 } ( 145, ·)$	$\chi_{ 344 } ( 21, ·)$	$\chi_{ 344 } ( 97, ·)$	$\chi_{ 344 } ( 173, ·)$	$\chi_{ 344 } ( 1, ·)$	$\chi_{ 344 } ( 41, ·)$	$\chi_{ 344 } ( 121, ·)$
$\chi_{ 344 }(21, ·)$	$\chi_{ 344 } ( 21, ·)$	$\chi_{ 344 } ( 41, ·)$	$\chi_{ 344 } ( 317, ·)$	$\chi_{ 344 } ( 293, ·)$	$\chi_{ 344 } ( 173, ·)$	$\chi_{ 344 } ( 269, ·)$	$\chi_{ 344 } ( 145, ·)$	$\chi_{ 344 } ( 193, ·)$	$\chi_{ 344 } ( 213, ·)$	$\chi_{ 344 } ( 1, ·)$	$\chi_{ 344 } ( 133, ·)$	$\chi_{ 344 } ( 305, ·)$	$\chi_{ 344 } ( 121, ·)$	$\chi_{ 344 } ( 97, ·)$

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

$\times$	\(\chi_{ 344 } ( 1, ·)\)	\(\chi_{ 344 } ( 133, ·)\)	\(\chi_{ 344 } ( 97, ·)\)	\(\chi_{ 344 } ( 145, ·)\)	\(\chi_{ 344 } ( 41, ·)\)	\(\chi_{ 344 } ( 193, ·)\)	\(\chi_{ 344 } ( 269, ·)\)	\(\chi_{ 344 } ( 173, ·)\)	\(\chi_{ 344 } ( 305, ·)\)	\(\chi_{ 344 } ( 213, ·)\)	\(\chi_{ 344 } ( 121, ·)\)	\(\chi_{ 344 } ( 293, ·)\)	\(\chi_{ 344 } ( 317, ·)\)	\(\chi_{ 344 } ( 21, ·)\)
\(\chi_{ 344 }(1, ·)\)	\(\chi_{ 344 } ( 1, ·)\)	\(\chi_{ 344 } ( 133, ·)\)	\(\chi_{ 344 } ( 97, ·)\)	\(\chi_{ 344 } ( 145, ·)\)	\(\chi_{ 344 } ( 41, ·)\)	\(\chi_{ 344 } ( 193, ·)\)	\(\chi_{ 344 } ( 269, ·)\)	\(\chi_{ 344 } ( 173, ·)\)	\(\chi_{ 344 } ( 305, ·)\)	\(\chi_{ 344 } ( 213, ·)\)	\(\chi_{ 344 } ( 121, ·)\)	\(\chi_{ 344 } ( 293, ·)\)	\(\chi_{ 344 } ( 317, ·)\)	\(\chi_{ 344 } ( 21, ·)\)
\(\chi_{ 344 }(133, ·)\)	\(\chi_{ 344 } ( 133, ·)\)	\(\chi_{ 344 } ( 145, ·)\)	\(\chi_{ 344 } ( 173, ·)\)	\(\chi_{ 344 } ( 21, ·)\)	\(\chi_{ 344 } ( 293, ·)\)	\(\chi_{ 344 } ( 213, ·)\)	\(\chi_{ 344 } ( 1, ·)\)	\(\chi_{ 344 } ( 305, ·)\)	\(\chi_{ 344 } ( 317, ·)\)	\(\chi_{ 344 } ( 121, ·)\)	\(\chi_{ 344 } ( 269, ·)\)	\(\chi_{ 344 } ( 97, ·)\)	\(\chi_{ 344 } ( 193, ·)\)	\(\chi_{ 344 } ( 41, ·)\)
\(\chi_{ 344 }(97, ·)\)	\(\chi_{ 344 } ( 97, ·)\)	\(\chi_{ 344 } ( 173, ·)\)	\(\chi_{ 344 } ( 121, ·)\)	\(\chi_{ 344 } ( 305, ·)\)	\(\chi_{ 344 } ( 193, ·)\)	\(\chi_{ 344 } ( 145, ·)\)	\(\chi_{ 344 } ( 293, ·)\)	\(\chi_{ 344 } ( 269, ·)\)	\(\chi_{ 344 } ( 1, ·)\)	\(\chi_{ 344 } ( 21, ·)\)	\(\chi_{ 344 } ( 41, ·)\)	\(\chi_{ 344 } ( 213, ·)\)	\(\chi_{ 344 } ( 133, ·)\)	\(\chi_{ 344 } ( 317, ·)\)
\(\chi_{ 344 }(145, ·)\)	\(\chi_{ 344 } ( 145, ·)\)	\(\chi_{ 344 } ( 21, ·)\)	\(\chi_{ 344 } ( 305, ·)\)	\(\chi_{ 344 } ( 41, ·)\)	\(\chi_{ 344 } ( 97, ·)\)	\(\chi_{ 344 } ( 121, ·)\)	\(\chi_{ 344 } ( 133, ·)\)	\(\chi_{ 344 } ( 317, ·)\)	\(\chi_{ 344 } ( 193, ·)\)	\(\chi_{ 344 } ( 269, ·)\)	\(\chi_{ 344 } ( 1, ·)\)	\(\chi_{ 344 } ( 173, ·)\)	\(\chi_{ 344 } ( 213, ·)\)	\(\chi_{ 344 } ( 293, ·)\)
\(\chi_{ 344 }(41, ·)\)	\(\chi_{ 344 } ( 41, ·)\)	\(\chi_{ 344 } ( 293, ·)\)	\(\chi_{ 344 } ( 193, ·)\)	\(\chi_{ 344 } ( 97, ·)\)	\(\chi_{ 344 } ( 305, ·)\)	\(\chi_{ 344 } ( 1, ·)\)	\(\chi_{ 344 } ( 21, ·)\)	\(\chi_{ 344 } ( 213, ·)\)	\(\chi_{ 344 } ( 121, ·)\)	\(\chi_{ 344 } ( 133, ·)\)	\(\chi_{ 344 } ( 145, ·)\)	\(\chi_{ 344 } ( 317, ·)\)	\(\chi_{ 344 } ( 269, ·)\)	\(\chi_{ 344 } ( 173, ·)\)
\(\chi_{ 344 }(193, ·)\)	\(\chi_{ 344 } ( 193, ·)\)	\(\chi_{ 344 } ( 213, ·)\)	\(\chi_{ 344 } ( 145, ·)\)	\(\chi_{ 344 } ( 121, ·)\)	\(\chi_{ 344 } ( 1, ·)\)	\(\chi_{ 344 } ( 97, ·)\)	\(\chi_{ 344 } ( 317, ·)\)	\(\chi_{ 344 } ( 21, ·)\)	\(\chi_{ 344 } ( 41, ·)\)	\(\chi_{ 344 } ( 173, ·)\)	\(\chi_{ 344 } ( 305, ·)\)	\(\chi_{ 344 } ( 133, ·)\)	\(\chi_{ 344 } ( 293, ·)\)	\(\chi_{ 344 } ( 269, ·)\)
\(\chi_{ 344 }(269, ·)\)	\(\chi_{ 344 } ( 269, ·)\)	\(\chi_{ 344 } ( 1, ·)\)	\(\chi_{ 344 } ( 293, ·)\)	\(\chi_{ 344 } ( 133, ·)\)	\(\chi_{ 344 } ( 21, ·)\)	\(\chi_{ 344 } ( 317, ·)\)	\(\chi_{ 344 } ( 121, ·)\)	\(\chi_{ 344 } ( 97, ·)\)	\(\chi_{ 344 } ( 173, ·)\)	\(\chi_{ 344 } ( 193, ·)\)	\(\chi_{ 344 } ( 213, ·)\)	\(\chi_{ 344 } ( 41, ·)\)	\(\chi_{ 344 } ( 305, ·)\)	\(\chi_{ 344 } ( 145, ·)\)
\(\chi_{ 344 }(173, ·)\)	\(\chi_{ 344 } ( 173, ·)\)	\(\chi_{ 344 } ( 305, ·)\)	\(\chi_{ 344 } ( 269, ·)\)	\(\chi_{ 344 } ( 317, ·)\)	\(\chi_{ 344 } ( 213, ·)\)	\(\chi_{ 344 } ( 21, ·)\)	\(\chi_{ 344 } ( 97, ·)\)	\(\chi_{ 344 } ( 1, ·)\)	\(\chi_{ 344 } ( 133, ·)\)	\(\chi_{ 344 } ( 41, ·)\)	\(\chi_{ 344 } ( 293, ·)\)	\(\chi_{ 344 } ( 121, ·)\)	\(\chi_{ 344 } ( 145, ·)\)	\(\chi_{ 344 } ( 193, ·)\)
\(\chi_{ 344 }(305, ·)\)	\(\chi_{ 344 } ( 305, ·)\)	\(\chi_{ 344 } ( 317, ·)\)	\(\chi_{ 344 } ( 1, ·)\)	\(\chi_{ 344 } ( 193, ·)\)	\(\chi_{ 344 } ( 121, ·)\)	\(\chi_{ 344 } ( 41, ·)\)	\(\chi_{ 344 } ( 173, ·)\)	\(\chi_{ 344 } ( 133, ·)\)	\(\chi_{ 344 } ( 145, ·)\)	\(\chi_{ 344 } ( 293, ·)\)	\(\chi_{ 344 } ( 97, ·)\)	\(\chi_{ 344 } ( 269, ·)\)	\(\chi_{ 344 } ( 21, ·)\)	\(\chi_{ 344 } ( 213, ·)\)
\(\chi_{ 344 }(213, ·)\)	\(\chi_{ 344 } ( 213, ·)\)	\(\chi_{ 344 } ( 121, ·)\)	\(\chi_{ 344 } ( 21, ·)\)	\(\chi_{ 344 } ( 269, ·)\)	\(\chi_{ 344 } ( 133, ·)\)	\(\chi_{ 344 } ( 173, ·)\)	\(\chi_{ 344 } ( 193, ·)\)	\(\chi_{ 344 } ( 41, ·)\)	\(\chi_{ 344 } ( 293, ·)\)	\(\chi_{ 344 } ( 305, ·)\)	\(\chi_{ 344 } ( 317, ·)\)	\(\chi_{ 344 } ( 145, ·)\)	\(\chi_{ 344 } ( 97, ·)\)	\(\chi_{ 344 } ( 1, ·)\)
\(\chi_{ 344 }(121, ·)\)	\(\chi_{ 344 } ( 121, ·)\)	\(\chi_{ 344 } ( 269, ·)\)	\(\chi_{ 344 } ( 41, ·)\)	\(\chi_{ 344 } ( 1, ·)\)	\(\chi_{ 344 } ( 145, ·)\)	\(\chi_{ 344 } ( 305, ·)\)	\(\chi_{ 344 } ( 213, ·)\)	\(\chi_{ 344 } ( 293, ·)\)	\(\chi_{ 344 } ( 97, ·)\)	\(\chi_{ 344 } ( 317, ·)\)	\(\chi_{ 344 } ( 193, ·)\)	\(\chi_{ 344 } ( 21, ·)\)	\(\chi_{ 344 } ( 173, ·)\)	\(\chi_{ 344 } ( 133, ·)\)
\(\chi_{ 344 }(293, ·)\)	\(\chi_{ 344 } ( 293, ·)\)	\(\chi_{ 344 } ( 97, ·)\)	\(\chi_{ 344 } ( 213, ·)\)	\(\chi_{ 344 } ( 173, ·)\)	\(\chi_{ 344 } ( 317, ·)\)	\(\chi_{ 344 } ( 133, ·)\)	\(\chi_{ 344 } ( 41, ·)\)	\(\chi_{ 344 } ( 121, ·)\)	\(\chi_{ 344 } ( 269, ·)\)	\(\chi_{ 344 } ( 145, ·)\)	\(\chi_{ 344 } ( 21, ·)\)	\(\chi_{ 344 } ( 193, ·)\)	\(\chi_{ 344 } ( 1, ·)\)	\(\chi_{ 344 } ( 305, ·)\)
\(\chi_{ 344 }(317, ·)\)	\(\chi_{ 344 } ( 317, ·)\)	\(\chi_{ 344 } ( 193, ·)\)	\(\chi_{ 344 } ( 133, ·)\)	\(\chi_{ 344 } ( 213, ·)\)	\(\chi_{ 344 } ( 269, ·)\)	\(\chi_{ 344 } ( 293, ·)\)	\(\chi_{ 344 } ( 305, ·)\)	\(\chi_{ 344 } ( 145, ·)\)	\(\chi_{ 344 } ( 21, ·)\)	\(\chi_{ 344 } ( 97, ·)\)	\(\chi_{ 344 } ( 173, ·)\)	\(\chi_{ 344 } ( 1, ·)\)	\(\chi_{ 344 } ( 41, ·)\)	\(\chi_{ 344 } ( 121, ·)\)
\(\chi_{ 344 }(21, ·)\)	\(\chi_{ 344 } ( 21, ·)\)	\(\chi_{ 344 } ( 41, ·)\)	\(\chi_{ 344 } ( 317, ·)\)	\(\chi_{ 344 } ( 293, ·)\)	\(\chi_{ 344 } ( 173, ·)\)	\(\chi_{ 344 } ( 269, ·)\)	\(\chi_{ 344 } ( 145, ·)\)	\(\chi_{ 344 } ( 193, ·)\)	\(\chi_{ 344 } ( 213, ·)\)	\(\chi_{ 344 } ( 1, ·)\)	\(\chi_{ 344 } ( 133, ·)\)	\(\chi_{ 344 } ( 305, ·)\)	\(\chi_{ 344 } ( 121, ·)\)	\(\chi_{ 344 } ( 97, ·)\)

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.