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} + 21 x^{12} - 42 x^{11} + 350 x^{10} - 553 x^{9} + 2184 x^{8} - 2696 x^{7} + 8869 x^{6} + \cdots + 9409 $ x^14 + 21*x^12 - 42*x^11 + 350*x^10 - 553*x^9 + 2184*x^8 - 2696*x^7 + 8869*x^6 - 8701*x^5 + 18151*x^4 - 8246*x^3 + 17920*x^2 - 8148*x + 9409

$\times$	$\chi_{ 147 } ( 1, ·)$	$\chi_{ 147 } ( 64, ·)$	$\chi_{ 147 } ( 134, ·)$	$\chi_{ 147 } ( 71, ·)$	$\chi_{ 147 } ( 8, ·)$	$\chi_{ 147 } ( 106, ·)$	$\chi_{ 147 } ( 43, ·)$	$\chi_{ 147 } ( 113, ·)$	$\chi_{ 147 } ( 50, ·)$	$\chi_{ 147 } ( 85, ·)$	$\chi_{ 147 } ( 22, ·)$	$\chi_{ 147 } ( 92, ·)$	$\chi_{ 147 } ( 29, ·)$	$\chi_{ 147 } ( 127, ·)$
$\chi_{ 147 }(1, ·)$	$\chi_{ 147 } ( 1, ·)$	$\chi_{ 147 } ( 64, ·)$	$\chi_{ 147 } ( 134, ·)$	$\chi_{ 147 } ( 71, ·)$	$\chi_{ 147 } ( 8, ·)$	$\chi_{ 147 } ( 106, ·)$	$\chi_{ 147 } ( 43, ·)$	$\chi_{ 147 } ( 113, ·)$	$\chi_{ 147 } ( 50, ·)$	$\chi_{ 147 } ( 85, ·)$	$\chi_{ 147 } ( 22, ·)$	$\chi_{ 147 } ( 92, ·)$	$\chi_{ 147 } ( 29, ·)$	$\chi_{ 147 } ( 127, ·)$
$\chi_{ 147 }(64, ·)$	$\chi_{ 147 } ( 64, ·)$	$\chi_{ 147 } ( 127, ·)$	$\chi_{ 147 } ( 50, ·)$	$\chi_{ 147 } ( 134, ·)$	$\chi_{ 147 } ( 71, ·)$	$\chi_{ 147 } ( 22, ·)$	$\chi_{ 147 } ( 106, ·)$	$\chi_{ 147 } ( 29, ·)$	$\chi_{ 147 } ( 113, ·)$	$\chi_{ 147 } ( 1, ·)$	$\chi_{ 147 } ( 85, ·)$	$\chi_{ 147 } ( 8, ·)$	$\chi_{ 147 } ( 92, ·)$	$\chi_{ 147 } ( 43, ·)$
$\chi_{ 147 }(134, ·)$	$\chi_{ 147 } ( 134, ·)$	$\chi_{ 147 } ( 50, ·)$	$\chi_{ 147 } ( 22, ·)$	$\chi_{ 147 } ( 106, ·)$	$\chi_{ 147 } ( 43, ·)$	$\chi_{ 147 } ( 92, ·)$	$\chi_{ 147 } ( 29, ·)$	$\chi_{ 147 } ( 1, ·)$	$\chi_{ 147 } ( 85, ·)$	$\chi_{ 147 } ( 71, ·)$	$\chi_{ 147 } ( 8, ·)$	$\chi_{ 147 } ( 127, ·)$	$\chi_{ 147 } ( 64, ·)$	$\chi_{ 147 } ( 113, ·)$
$\chi_{ 147 }(71, ·)$	$\chi_{ 147 } ( 71, ·)$	$\chi_{ 147 } ( 134, ·)$	$\chi_{ 147 } ( 106, ·)$	$\chi_{ 147 } ( 43, ·)$	$\chi_{ 147 } ( 127, ·)$	$\chi_{ 147 } ( 29, ·)$	$\chi_{ 147 } ( 113, ·)$	$\chi_{ 147 } ( 85, ·)$	$\chi_{ 147 } ( 22, ·)$	$\chi_{ 147 } ( 8, ·)$	$\chi_{ 147 } ( 92, ·)$	$\chi_{ 147 } ( 64, ·)$	$\chi_{ 147 } ( 1, ·)$	$\chi_{ 147 } ( 50, ·)$
$\chi_{ 147 }(8, ·)$	$\chi_{ 147 } ( 8, ·)$	$\chi_{ 147 } ( 71, ·)$	$\chi_{ 147 } ( 43, ·)$	$\chi_{ 147 } ( 127, ·)$	$\chi_{ 147 } ( 64, ·)$	$\chi_{ 147 } ( 113, ·)$	$\chi_{ 147 } ( 50, ·)$	$\chi_{ 147 } ( 22, ·)$	$\chi_{ 147 } ( 106, ·)$	$\chi_{ 147 } ( 92, ·)$	$\chi_{ 147 } ( 29, ·)$	$\chi_{ 147 } ( 1, ·)$	$\chi_{ 147 } ( 85, ·)$	$\chi_{ 147 } ( 134, ·)$
$\chi_{ 147 }(106, ·)$	$\chi_{ 147 } ( 106, ·)$	$\chi_{ 147 } ( 22, ·)$	$\chi_{ 147 } ( 92, ·)$	$\chi_{ 147 } ( 29, ·)$	$\chi_{ 147 } ( 113, ·)$	$\chi_{ 147 } ( 64, ·)$	$\chi_{ 147 } ( 1, ·)$	$\chi_{ 147 } ( 71, ·)$	$\chi_{ 147 } ( 8, ·)$	$\chi_{ 147 } ( 43, ·)$	$\chi_{ 147 } ( 127, ·)$	$\chi_{ 147 } ( 50, ·)$	$\chi_{ 147 } ( 134, ·)$	$\chi_{ 147 } ( 85, ·)$
$\chi_{ 147 }(43, ·)$	$\chi_{ 147 } ( 43, ·)$	$\chi_{ 147 } ( 106, ·)$	$\chi_{ 147 } ( 29, ·)$	$\chi_{ 147 } ( 113, ·)$	$\chi_{ 147 } ( 50, ·)$	$\chi_{ 147 } ( 1, ·)$	$\chi_{ 147 } ( 85, ·)$	$\chi_{ 147 } ( 8, ·)$	$\chi_{ 147 } ( 92, ·)$	$\chi_{ 147 } ( 127, ·)$	$\chi_{ 147 } ( 64, ·)$	$\chi_{ 147 } ( 134, ·)$	$\chi_{ 147 } ( 71, ·)$	$\chi_{ 147 } ( 22, ·)$
$\chi_{ 147 }(113, ·)$	$\chi_{ 147 } ( 113, ·)$	$\chi_{ 147 } ( 29, ·)$	$\chi_{ 147 } ( 1, ·)$	$\chi_{ 147 } ( 85, ·)$	$\chi_{ 147 } ( 22, ·)$	$\chi_{ 147 } ( 71, ·)$	$\chi_{ 147 } ( 8, ·)$	$\chi_{ 147 } ( 127, ·)$	$\chi_{ 147 } ( 64, ·)$	$\chi_{ 147 } ( 50, ·)$	$\chi_{ 147 } ( 134, ·)$	$\chi_{ 147 } ( 106, ·)$	$\chi_{ 147 } ( 43, ·)$	$\chi_{ 147 } ( 92, ·)$
$\chi_{ 147 }(50, ·)$	$\chi_{ 147 } ( 50, ·)$	$\chi_{ 147 } ( 113, ·)$	$\chi_{ 147 } ( 85, ·)$	$\chi_{ 147 } ( 22, ·)$	$\chi_{ 147 } ( 106, ·)$	$\chi_{ 147 } ( 8, ·)$	$\chi_{ 147 } ( 92, ·)$	$\chi_{ 147 } ( 64, ·)$	$\chi_{ 147 } ( 1, ·)$	$\chi_{ 147 } ( 134, ·)$	$\chi_{ 147 } ( 71, ·)$	$\chi_{ 147 } ( 43, ·)$	$\chi_{ 147 } ( 127, ·)$	$\chi_{ 147 } ( 29, ·)$
$\chi_{ 147 }(85, ·)$	$\chi_{ 147 } ( 85, ·)$	$\chi_{ 147 } ( 1, ·)$	$\chi_{ 147 } ( 71, ·)$	$\chi_{ 147 } ( 8, ·)$	$\chi_{ 147 } ( 92, ·)$	$\chi_{ 147 } ( 43, ·)$	$\chi_{ 147 } ( 127, ·)$	$\chi_{ 147 } ( 50, ·)$	$\chi_{ 147 } ( 134, ·)$	$\chi_{ 147 } ( 22, ·)$	$\chi_{ 147 } ( 106, ·)$	$\chi_{ 147 } ( 29, ·)$	$\chi_{ 147 } ( 113, ·)$	$\chi_{ 147 } ( 64, ·)$
$\chi_{ 147 }(22, ·)$	$\chi_{ 147 } ( 22, ·)$	$\chi_{ 147 } ( 85, ·)$	$\chi_{ 147 } ( 8, ·)$	$\chi_{ 147 } ( 92, ·)$	$\chi_{ 147 } ( 29, ·)$	$\chi_{ 147 } ( 127, ·)$	$\chi_{ 147 } ( 64, ·)$	$\chi_{ 147 } ( 134, ·)$	$\chi_{ 147 } ( 71, ·)$	$\chi_{ 147 } ( 106, ·)$	$\chi_{ 147 } ( 43, ·)$	$\chi_{ 147 } ( 113, ·)$	$\chi_{ 147 } ( 50, ·)$	$\chi_{ 147 } ( 1, ·)$
$\chi_{ 147 }(92, ·)$	$\chi_{ 147 } ( 92, ·)$	$\chi_{ 147 } ( 8, ·)$	$\chi_{ 147 } ( 127, ·)$	$\chi_{ 147 } ( 64, ·)$	$\chi_{ 147 } ( 1, ·)$	$\chi_{ 147 } ( 50, ·)$	$\chi_{ 147 } ( 134, ·)$	$\chi_{ 147 } ( 106, ·)$	$\chi_{ 147 } ( 43, ·)$	$\chi_{ 147 } ( 29, ·)$	$\chi_{ 147 } ( 113, ·)$	$\chi_{ 147 } ( 85, ·)$	$\chi_{ 147 } ( 22, ·)$	$\chi_{ 147 } ( 71, ·)$
$\chi_{ 147 }(29, ·)$	$\chi_{ 147 } ( 29, ·)$	$\chi_{ 147 } ( 92, ·)$	$\chi_{ 147 } ( 64, ·)$	$\chi_{ 147 } ( 1, ·)$	$\chi_{ 147 } ( 85, ·)$	$\chi_{ 147 } ( 134, ·)$	$\chi_{ 147 } ( 71, ·)$	$\chi_{ 147 } ( 43, ·)$	$\chi_{ 147 } ( 127, ·)$	$\chi_{ 147 } ( 113, ·)$	$\chi_{ 147 } ( 50, ·)$	$\chi_{ 147 } ( 22, ·)$	$\chi_{ 147 } ( 106, ·)$	$\chi_{ 147 } ( 8, ·)$
$\chi_{ 147 }(127, ·)$	$\chi_{ 147 } ( 127, ·)$	$\chi_{ 147 } ( 43, ·)$	$\chi_{ 147 } ( 113, ·)$	$\chi_{ 147 } ( 50, ·)$	$\chi_{ 147 } ( 134, ·)$	$\chi_{ 147 } ( 85, ·)$	$\chi_{ 147 } ( 22, ·)$	$\chi_{ 147 } ( 92, ·)$	$\chi_{ 147 } ( 29, ·)$	$\chi_{ 147 } ( 64, ·)$	$\chi_{ 147 } ( 1, ·)$	$\chi_{ 147 } ( 71, ·)$	$\chi_{ 147 } ( 8, ·)$	$\chi_{ 147 } ( 106, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 147 } ( 1, ·)\)	\(\chi_{ 147 } ( 64, ·)\)	\(\chi_{ 147 } ( 134, ·)\)	\(\chi_{ 147 } ( 71, ·)\)	\(\chi_{ 147 } ( 8, ·)\)	\(\chi_{ 147 } ( 106, ·)\)	\(\chi_{ 147 } ( 43, ·)\)	\(\chi_{ 147 } ( 113, ·)\)	\(\chi_{ 147 } ( 50, ·)\)	\(\chi_{ 147 } ( 85, ·)\)	\(\chi_{ 147 } ( 22, ·)\)	\(\chi_{ 147 } ( 92, ·)\)	\(\chi_{ 147 } ( 29, ·)\)	\(\chi_{ 147 } ( 127, ·)\)
\(\chi_{ 147 }(1, ·)\)	\(\chi_{ 147 } ( 1, ·)\)	\(\chi_{ 147 } ( 64, ·)\)	\(\chi_{ 147 } ( 134, ·)\)	\(\chi_{ 147 } ( 71, ·)\)	\(\chi_{ 147 } ( 8, ·)\)	\(\chi_{ 147 } ( 106, ·)\)	\(\chi_{ 147 } ( 43, ·)\)	\(\chi_{ 147 } ( 113, ·)\)	\(\chi_{ 147 } ( 50, ·)\)	\(\chi_{ 147 } ( 85, ·)\)	\(\chi_{ 147 } ( 22, ·)\)	\(\chi_{ 147 } ( 92, ·)\)	\(\chi_{ 147 } ( 29, ·)\)	\(\chi_{ 147 } ( 127, ·)\)
\(\chi_{ 147 }(64, ·)\)	\(\chi_{ 147 } ( 64, ·)\)	\(\chi_{ 147 } ( 127, ·)\)	\(\chi_{ 147 } ( 50, ·)\)	\(\chi_{ 147 } ( 134, ·)\)	\(\chi_{ 147 } ( 71, ·)\)	\(\chi_{ 147 } ( 22, ·)\)	\(\chi_{ 147 } ( 106, ·)\)	\(\chi_{ 147 } ( 29, ·)\)	\(\chi_{ 147 } ( 113, ·)\)	\(\chi_{ 147 } ( 1, ·)\)	\(\chi_{ 147 } ( 85, ·)\)	\(\chi_{ 147 } ( 8, ·)\)	\(\chi_{ 147 } ( 92, ·)\)	\(\chi_{ 147 } ( 43, ·)\)
\(\chi_{ 147 }(134, ·)\)	\(\chi_{ 147 } ( 134, ·)\)	\(\chi_{ 147 } ( 50, ·)\)	\(\chi_{ 147 } ( 22, ·)\)	\(\chi_{ 147 } ( 106, ·)\)	\(\chi_{ 147 } ( 43, ·)\)	\(\chi_{ 147 } ( 92, ·)\)	\(\chi_{ 147 } ( 29, ·)\)	\(\chi_{ 147 } ( 1, ·)\)	\(\chi_{ 147 } ( 85, ·)\)	\(\chi_{ 147 } ( 71, ·)\)	\(\chi_{ 147 } ( 8, ·)\)	\(\chi_{ 147 } ( 127, ·)\)	\(\chi_{ 147 } ( 64, ·)\)	\(\chi_{ 147 } ( 113, ·)\)
\(\chi_{ 147 }(71, ·)\)	\(\chi_{ 147 } ( 71, ·)\)	\(\chi_{ 147 } ( 134, ·)\)	\(\chi_{ 147 } ( 106, ·)\)	\(\chi_{ 147 } ( 43, ·)\)	\(\chi_{ 147 } ( 127, ·)\)	\(\chi_{ 147 } ( 29, ·)\)	\(\chi_{ 147 } ( 113, ·)\)	\(\chi_{ 147 } ( 85, ·)\)	\(\chi_{ 147 } ( 22, ·)\)	\(\chi_{ 147 } ( 8, ·)\)	\(\chi_{ 147 } ( 92, ·)\)	\(\chi_{ 147 } ( 64, ·)\)	\(\chi_{ 147 } ( 1, ·)\)	\(\chi_{ 147 } ( 50, ·)\)
\(\chi_{ 147 }(8, ·)\)	\(\chi_{ 147 } ( 8, ·)\)	\(\chi_{ 147 } ( 71, ·)\)	\(\chi_{ 147 } ( 43, ·)\)	\(\chi_{ 147 } ( 127, ·)\)	\(\chi_{ 147 } ( 64, ·)\)	\(\chi_{ 147 } ( 113, ·)\)	\(\chi_{ 147 } ( 50, ·)\)	\(\chi_{ 147 } ( 22, ·)\)	\(\chi_{ 147 } ( 106, ·)\)	\(\chi_{ 147 } ( 92, ·)\)	\(\chi_{ 147 } ( 29, ·)\)	\(\chi_{ 147 } ( 1, ·)\)	\(\chi_{ 147 } ( 85, ·)\)	\(\chi_{ 147 } ( 134, ·)\)
\(\chi_{ 147 }(106, ·)\)	\(\chi_{ 147 } ( 106, ·)\)	\(\chi_{ 147 } ( 22, ·)\)	\(\chi_{ 147 } ( 92, ·)\)	\(\chi_{ 147 } ( 29, ·)\)	\(\chi_{ 147 } ( 113, ·)\)	\(\chi_{ 147 } ( 64, ·)\)	\(\chi_{ 147 } ( 1, ·)\)	\(\chi_{ 147 } ( 71, ·)\)	\(\chi_{ 147 } ( 8, ·)\)	\(\chi_{ 147 } ( 43, ·)\)	\(\chi_{ 147 } ( 127, ·)\)	\(\chi_{ 147 } ( 50, ·)\)	\(\chi_{ 147 } ( 134, ·)\)	\(\chi_{ 147 } ( 85, ·)\)
\(\chi_{ 147 }(43, ·)\)	\(\chi_{ 147 } ( 43, ·)\)	\(\chi_{ 147 } ( 106, ·)\)	\(\chi_{ 147 } ( 29, ·)\)	\(\chi_{ 147 } ( 113, ·)\)	\(\chi_{ 147 } ( 50, ·)\)	\(\chi_{ 147 } ( 1, ·)\)	\(\chi_{ 147 } ( 85, ·)\)	\(\chi_{ 147 } ( 8, ·)\)	\(\chi_{ 147 } ( 92, ·)\)	\(\chi_{ 147 } ( 127, ·)\)	\(\chi_{ 147 } ( 64, ·)\)	\(\chi_{ 147 } ( 134, ·)\)	\(\chi_{ 147 } ( 71, ·)\)	\(\chi_{ 147 } ( 22, ·)\)
\(\chi_{ 147 }(113, ·)\)	\(\chi_{ 147 } ( 113, ·)\)	\(\chi_{ 147 } ( 29, ·)\)	\(\chi_{ 147 } ( 1, ·)\)	\(\chi_{ 147 } ( 85, ·)\)	\(\chi_{ 147 } ( 22, ·)\)	\(\chi_{ 147 } ( 71, ·)\)	\(\chi_{ 147 } ( 8, ·)\)	\(\chi_{ 147 } ( 127, ·)\)	\(\chi_{ 147 } ( 64, ·)\)	\(\chi_{ 147 } ( 50, ·)\)	\(\chi_{ 147 } ( 134, ·)\)	\(\chi_{ 147 } ( 106, ·)\)	\(\chi_{ 147 } ( 43, ·)\)	\(\chi_{ 147 } ( 92, ·)\)
\(\chi_{ 147 }(50, ·)\)	\(\chi_{ 147 } ( 50, ·)\)	\(\chi_{ 147 } ( 113, ·)\)	\(\chi_{ 147 } ( 85, ·)\)	\(\chi_{ 147 } ( 22, ·)\)	\(\chi_{ 147 } ( 106, ·)\)	\(\chi_{ 147 } ( 8, ·)\)	\(\chi_{ 147 } ( 92, ·)\)	\(\chi_{ 147 } ( 64, ·)\)	\(\chi_{ 147 } ( 1, ·)\)	\(\chi_{ 147 } ( 134, ·)\)	\(\chi_{ 147 } ( 71, ·)\)	\(\chi_{ 147 } ( 43, ·)\)	\(\chi_{ 147 } ( 127, ·)\)	\(\chi_{ 147 } ( 29, ·)\)
\(\chi_{ 147 }(85, ·)\)	\(\chi_{ 147 } ( 85, ·)\)	\(\chi_{ 147 } ( 1, ·)\)	\(\chi_{ 147 } ( 71, ·)\)	\(\chi_{ 147 } ( 8, ·)\)	\(\chi_{ 147 } ( 92, ·)\)	\(\chi_{ 147 } ( 43, ·)\)	\(\chi_{ 147 } ( 127, ·)\)	\(\chi_{ 147 } ( 50, ·)\)	\(\chi_{ 147 } ( 134, ·)\)	\(\chi_{ 147 } ( 22, ·)\)	\(\chi_{ 147 } ( 106, ·)\)	\(\chi_{ 147 } ( 29, ·)\)	\(\chi_{ 147 } ( 113, ·)\)	\(\chi_{ 147 } ( 64, ·)\)
\(\chi_{ 147 }(22, ·)\)	\(\chi_{ 147 } ( 22, ·)\)	\(\chi_{ 147 } ( 85, ·)\)	\(\chi_{ 147 } ( 8, ·)\)	\(\chi_{ 147 } ( 92, ·)\)	\(\chi_{ 147 } ( 29, ·)\)	\(\chi_{ 147 } ( 127, ·)\)	\(\chi_{ 147 } ( 64, ·)\)	\(\chi_{ 147 } ( 134, ·)\)	\(\chi_{ 147 } ( 71, ·)\)	\(\chi_{ 147 } ( 106, ·)\)	\(\chi_{ 147 } ( 43, ·)\)	\(\chi_{ 147 } ( 113, ·)\)	\(\chi_{ 147 } ( 50, ·)\)	\(\chi_{ 147 } ( 1, ·)\)
\(\chi_{ 147 }(92, ·)\)	\(\chi_{ 147 } ( 92, ·)\)	\(\chi_{ 147 } ( 8, ·)\)	\(\chi_{ 147 } ( 127, ·)\)	\(\chi_{ 147 } ( 64, ·)\)	\(\chi_{ 147 } ( 1, ·)\)	\(\chi_{ 147 } ( 50, ·)\)	\(\chi_{ 147 } ( 134, ·)\)	\(\chi_{ 147 } ( 106, ·)\)	\(\chi_{ 147 } ( 43, ·)\)	\(\chi_{ 147 } ( 29, ·)\)	\(\chi_{ 147 } ( 113, ·)\)	\(\chi_{ 147 } ( 85, ·)\)	\(\chi_{ 147 } ( 22, ·)\)	\(\chi_{ 147 } ( 71, ·)\)
\(\chi_{ 147 }(29, ·)\)	\(\chi_{ 147 } ( 29, ·)\)	\(\chi_{ 147 } ( 92, ·)\)	\(\chi_{ 147 } ( 64, ·)\)	\(\chi_{ 147 } ( 1, ·)\)	\(\chi_{ 147 } ( 85, ·)\)	\(\chi_{ 147 } ( 134, ·)\)	\(\chi_{ 147 } ( 71, ·)\)	\(\chi_{ 147 } ( 43, ·)\)	\(\chi_{ 147 } ( 127, ·)\)	\(\chi_{ 147 } ( 113, ·)\)	\(\chi_{ 147 } ( 50, ·)\)	\(\chi_{ 147 } ( 22, ·)\)	\(\chi_{ 147 } ( 106, ·)\)	\(\chi_{ 147 } ( 8, ·)\)
\(\chi_{ 147 }(127, ·)\)	\(\chi_{ 147 } ( 127, ·)\)	\(\chi_{ 147 } ( 43, ·)\)	\(\chi_{ 147 } ( 113, ·)\)	\(\chi_{ 147 } ( 50, ·)\)	\(\chi_{ 147 } ( 134, ·)\)	\(\chi_{ 147 } ( 85, ·)\)	\(\chi_{ 147 } ( 22, ·)\)	\(\chi_{ 147 } ( 92, ·)\)	\(\chi_{ 147 } ( 29, ·)\)	\(\chi_{ 147 } ( 64, ·)\)	\(\chi_{ 147 } ( 1, ·)\)	\(\chi_{ 147 } ( 71, ·)\)	\(\chi_{ 147 } ( 8, ·)\)	\(\chi_{ 147 } ( 106, ·)\)

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.