LMFDB - Modular curve search results

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Results (1-50 of 84 matches)

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Label	RSZB label	RZB label	CP label	SZ label	Name	Level	Index	Genus	Rank	$\Q$-gonality	Cusps	$\Q$-cusps	CM points	Conductor	Simple	Squarefree	Contains -1	Decomposition	Models	$j$-points	Local obstruction	$\operatorname{GL}_2(\mathbb{Z}/N\mathbb{Z})$-generators
16.24.0-8.g.1.1	16.24.0.44	X42a	4E0			$16$	$24$	$0$	$0$	$1$	$4$	$0$		$?$	?	?		not computed		$41$		$\begin{bmatrix}3&0\\2&7\end{bmatrix}$, $\begin{bmatrix}5&11\\8&11\end{bmatrix}$, $\begin{bmatrix}7&9\\12&13\end{bmatrix}$
16.24.0-8.g.1.2	16.24.0.43	X42c	4E0			$16$	$24$	$0$	$0$	$1$	$4$	$0$		$?$	?	?		not computed		$41$		$\begin{bmatrix}5&1\\2&9\end{bmatrix}$, $\begin{bmatrix}11&0\\8&11\end{bmatrix}$, $\begin{bmatrix}13&3\\8&3\end{bmatrix}$
16.24.0-8.h.1.1	16.24.0.30	X37a	4E0			$16$	$24$	$0$	$0$	$1$	$4$	$0$		$?$	?	?		not computed		$41$		$\begin{bmatrix}1&7\\8&13\end{bmatrix}$, $\begin{bmatrix}7&4\\8&15\end{bmatrix}$, $\begin{bmatrix}7&15\\10&15\end{bmatrix}$
16.24.0-8.h.1.2	16.24.0.29	X37c	4E0			$16$	$24$	$0$	$0$	$1$	$4$	$0$		$?$	?	?		not computed		$41$		$\begin{bmatrix}1&10\\2&11\end{bmatrix}$, $\begin{bmatrix}7&15\\12&15\end{bmatrix}$, $\begin{bmatrix}13&5\\6&5\end{bmatrix}$
16.24.0-8.i.1.1	16.24.0.24	X40b	4E0			$16$	$24$	$0$	$0$	$1$	$4$	$0$	✓	$?$	?	?		not computed		$34$		$\begin{bmatrix}1&15\\2&11\end{bmatrix}$, $\begin{bmatrix}9&10\\0&7\end{bmatrix}$, $\begin{bmatrix}15&12\\4&7\end{bmatrix}$
16.24.0-8.i.1.2	16.24.0.25	X40d	4E0			$16$	$24$	$0$	$0$	$1$	$4$	$0$	✓	$?$	?	?		not computed		$34$		$\begin{bmatrix}1&5\\6&11\end{bmatrix}$, $\begin{bmatrix}3&8\\4&13\end{bmatrix}$, $\begin{bmatrix}7&12\\12&7\end{bmatrix}$
16.24.0-8.i.1.3	16.24.0.26	X40c	4E0			$16$	$24$	$0$	$0$	$1$	$4$	$0$	✓	$?$	?	?		not computed		$34$		$\begin{bmatrix}1&5\\10&5\end{bmatrix}$, $\begin{bmatrix}3&1\\10&5\end{bmatrix}$, $\begin{bmatrix}9&13\\6&11\end{bmatrix}$
16.24.0-8.i.1.4	16.24.0.23	X40a	4E0			$16$	$24$	$0$	$0$	$1$	$4$	$0$	✓	$?$	?	?		not computed		$34$		$\begin{bmatrix}3&10\\0&5\end{bmatrix}$, $\begin{bmatrix}5&15\\6&9\end{bmatrix}$, $\begin{bmatrix}13&0\\4&5\end{bmatrix}$
16.24.0-8.n.1.1	16.24.0.10	X36g	8C0			$16$	$24$	$0$	$0$	$1$	$4$	$4$		$?$	?	?		not computed		$5200$		$\begin{bmatrix}1&4\\0&11\end{bmatrix}$, $\begin{bmatrix}7&4\\8&3\end{bmatrix}$, $\begin{bmatrix}9&11\\8&11\end{bmatrix}$, $\begin{bmatrix}11&6\\8&11\end{bmatrix}$, $\begin{bmatrix}13&2\\0&13\end{bmatrix}$
16.24.0-8.n.1.2	16.24.0.8	X36t	8C0			$16$	$24$	$0$	$0$	$1$	$4$	$4$		$?$	?	?		not computed		$5200$		$\begin{bmatrix}3&15\\8&1\end{bmatrix}$, $\begin{bmatrix}11&0\\8&9\end{bmatrix}$, $\begin{bmatrix}11&15\\0&15\end{bmatrix}$, $\begin{bmatrix}13&0\\8&1\end{bmatrix}$, $\begin{bmatrix}13&4\\8&5\end{bmatrix}$
16.24.0-8.n.1.3	16.24.0.11	X36j	8C0			$16$	$24$	$0$	$0$	$1$	$4$	$4$		$?$	?	?		not computed		$5200$		$\begin{bmatrix}3&9\\0&15\end{bmatrix}$, $\begin{bmatrix}5&12\\0&15\end{bmatrix}$, $\begin{bmatrix}5&15\\0&7\end{bmatrix}$, $\begin{bmatrix}13&0\\0&13\end{bmatrix}$, $\begin{bmatrix}15&9\\8&13\end{bmatrix}$
16.24.0-8.n.1.4	16.24.0.9	X36p	8C0			$16$	$24$	$0$	$0$	$1$	$4$	$4$		$?$	?	?		not computed		$5200$		$\begin{bmatrix}1&9\\0&15\end{bmatrix}$, $\begin{bmatrix}1&15\\8&3\end{bmatrix}$, $\begin{bmatrix}11&4\\0&11\end{bmatrix}$, $\begin{bmatrix}11&9\\8&7\end{bmatrix}$, $\begin{bmatrix}15&9\\8&9\end{bmatrix}$
16.24.0-8.n.1.5	16.24.0.3	X36b	8C0			$16$	$24$	$0$	$0$	$1$	$4$	$4$		$?$	?	?		not computed		$5200$		$\begin{bmatrix}5&15\\8&11\end{bmatrix}$, $\begin{bmatrix}7&5\\0&15\end{bmatrix}$, $\begin{bmatrix}9&0\\8&15\end{bmatrix}$, $\begin{bmatrix}11&1\\0&13\end{bmatrix}$, $\begin{bmatrix}13&9\\0&1\end{bmatrix}$
16.24.0-8.n.1.6	16.24.0.14	X36r	8C0			$16$	$24$	$0$	$0$	$1$	$4$	$4$		$?$	?	?		not computed		$5200$		$\begin{bmatrix}3&1\\0&9\end{bmatrix}$, $\begin{bmatrix}3&12\\8&15\end{bmatrix}$, $\begin{bmatrix}3&13\\8&11\end{bmatrix}$, $\begin{bmatrix}11&9\\0&7\end{bmatrix}$, $\begin{bmatrix}15&6\\0&3\end{bmatrix}$
16.24.0-8.n.1.7	16.24.0.12	X36d	8C0			$16$	$24$	$0$	$0$	$1$	$4$	$4$		$?$	?	?		not computed		$5200$		$\begin{bmatrix}5&11\\0&11\end{bmatrix}$, $\begin{bmatrix}9&15\\0&5\end{bmatrix}$, $\begin{bmatrix}11&7\\0&3\end{bmatrix}$, $\begin{bmatrix}11&15\\8&5\end{bmatrix}$, $\begin{bmatrix}13&7\\8&7\end{bmatrix}$
16.24.0-8.n.1.8	16.24.0.4	X36m	8C0			$16$	$24$	$0$	$0$	$1$	$4$	$4$		$?$	?	?		not computed		$5200$		$\begin{bmatrix}1&1\\0&1\end{bmatrix}$, $\begin{bmatrix}1&4\\0&5\end{bmatrix}$, $\begin{bmatrix}3&6\\8&3\end{bmatrix}$, $\begin{bmatrix}7&7\\8&7\end{bmatrix}$, $\begin{bmatrix}15&0\\0&5\end{bmatrix}$
16.24.0-8.o.1.1	16.24.0.20	X32a	8C0			$16$	$24$	$0$	$0$	$1$	$4$	$2$	✓	$?$	?	?		not computed		$1492$		$\begin{bmatrix}7&3\\4&7\end{bmatrix}$, $\begin{bmatrix}9&3\\4&13\end{bmatrix}$, $\begin{bmatrix}11&3\\12&7\end{bmatrix}$, $\begin{bmatrix}11&15\\4&13\end{bmatrix}$
16.24.0-8.o.1.2	16.24.0.18	X32h	8C0			$16$	$24$	$0$	$0$	$1$	$4$	$2$	✓	$?$	?	?		not computed		$1492$		$\begin{bmatrix}3&12\\0&5\end{bmatrix}$, $\begin{bmatrix}5&11\\12&5\end{bmatrix}$, $\begin{bmatrix}7&0\\0&5\end{bmatrix}$, $\begin{bmatrix}15&6\\0&15\end{bmatrix}$
16.24.0-8.o.1.3	16.24.0.19	X32b	8C0			$16$	$24$	$0$	$0$	$1$	$4$	$2$	✓	$?$	?	?		not computed		$1492$		$\begin{bmatrix}1&12\\0&15\end{bmatrix}$, $\begin{bmatrix}5&1\\4&7\end{bmatrix}$, $\begin{bmatrix}7&7\\4&9\end{bmatrix}$, $\begin{bmatrix}7&12\\8&15\end{bmatrix}$
16.24.0-8.o.1.4	16.24.0.16	X32g	8C0			$16$	$24$	$0$	$0$	$1$	$4$	$2$	✓	$?$	?	?		not computed		$1492$		$\begin{bmatrix}3&8\\8&1\end{bmatrix}$, $\begin{bmatrix}3&12\\8&3\end{bmatrix}$, $\begin{bmatrix}11&7\\4&9\end{bmatrix}$, $\begin{bmatrix}11&11\\4&15\end{bmatrix}$
16.24.0.a.1	16.24.0.41	X108	8G0	8G0-16a		$16$	$24$	$0$	$0$	$1$	$6$	$0$		$?$	?	?	✓	not computed	$1$	$8$		$\begin{bmatrix}3&11\\0&5\end{bmatrix}$, $\begin{bmatrix}3&14\\14&11\end{bmatrix}$, $\begin{bmatrix}15&12\\0&15\end{bmatrix}$
16.24.0.b.1	16.24.0.42		8G0			$16$	$24$	$0$	$0$	$2$	$6$	$0$		$?$	?	?	✓	not computed	$1$	$0$	✓	$\begin{bmatrix}5&12\\2&9\end{bmatrix}$, $\begin{bmatrix}13&14\\12&5\end{bmatrix}$, $\begin{bmatrix}15&15\\4&5\end{bmatrix}$
16.24.0.c.1	16.24.0.28	X123	4G0	4G0-16a		$16$	$24$	$0$	$0$	$1$	$6$	$0$		$?$	?	?	✓	not computed	$1$	$8$		$\begin{bmatrix}1&12\\14&7\end{bmatrix}$, $\begin{bmatrix}7&3\\4&15\end{bmatrix}$, $\begin{bmatrix}11&7\\2&3\end{bmatrix}$
16.24.0.d.1	16.24.0.27		4G0			$16$	$24$	$0$	$0$	$2$	$6$	$0$		$?$	?	?	✓	not computed	$1$	$0$	✓	$\begin{bmatrix}1&4\\14&15\end{bmatrix}$, $\begin{bmatrix}1&11\\8&13\end{bmatrix}$, $\begin{bmatrix}9&13\\2&13\end{bmatrix}$
16.24.0.e.1	16.24.0.1	X120	16D0	16D0-16a		$16$	$24$	$0$	$0$	$1$	$6$	$4$		$?$	?	?	✓	not computed	$1$	$224$		$\begin{bmatrix}3&0\\8&15\end{bmatrix}$, $\begin{bmatrix}9&4\\0&15\end{bmatrix}$, $\begin{bmatrix}11&12\\8&11\end{bmatrix}$, $\begin{bmatrix}11&13\\8&15\end{bmatrix}$, $\begin{bmatrix}13&7\\8&7\end{bmatrix}$
16.24.0.e.2	16.24.0.13	X122	16D0	16D0-16c		$16$	$24$	$0$	$0$	$1$	$6$	$4$		$?$	?	?	✓	not computed	$1$	$219$		$\begin{bmatrix}3&11\\0&1\end{bmatrix}$, $\begin{bmatrix}5&13\\0&15\end{bmatrix}$, $\begin{bmatrix}7&9\\8&15\end{bmatrix}$, $\begin{bmatrix}13&1\\0&13\end{bmatrix}$, $\begin{bmatrix}13&1\\8&9\end{bmatrix}$
16.24.0.f.1	16.24.0.7	X119	16D0	16D0-16b		$16$	$24$	$0$	$0$	$1$	$6$	$2$		$?$	?	?	✓	not computed	$1$	$89$		$\begin{bmatrix}3&0\\8&5\end{bmatrix}$, $\begin{bmatrix}3&5\\0&5\end{bmatrix}$, $\begin{bmatrix}9&14\\0&15\end{bmatrix}$, $\begin{bmatrix}15&1\\8&5\end{bmatrix}$, $\begin{bmatrix}15&9\\8&1\end{bmatrix}$
16.24.0.f.2	16.24.0.6	X121	16D0	16D0-16d		$16$	$24$	$0$	$0$	$1$	$6$	$2$		$?$	?	?	✓	not computed	$1$	$89$		$\begin{bmatrix}5&4\\0&9\end{bmatrix}$, $\begin{bmatrix}7&14\\8&9\end{bmatrix}$, $\begin{bmatrix}11&10\\0&7\end{bmatrix}$, $\begin{bmatrix}13&6\\0&3\end{bmatrix}$, $\begin{bmatrix}15&13\\0&13\end{bmatrix}$
16.24.0.g.1	16.24.0.2	X118	16C0	16C0-16d	$X_0(16)$	$16$	$24$	$0$	$0$	$1$	$6$	$4$		$?$	?	?	✓	not computed	$1$	$245$		$\begin{bmatrix}3&10\\0&5\end{bmatrix}$, $\begin{bmatrix}7&6\\0&1\end{bmatrix}$, $\begin{bmatrix}7&15\\0&7\end{bmatrix}$, $\begin{bmatrix}7&15\\0&13\end{bmatrix}$, $\begin{bmatrix}13&14\\0&1\end{bmatrix}$
16.24.0.h.1	16.24.0.5	X117	16C0	16C0-16c		$16$	$24$	$0$	$0$	$1$	$6$	$2$		$?$	?	?	✓	not computed	$1$	$99$		$\begin{bmatrix}3&15\\0&5\end{bmatrix}$, $\begin{bmatrix}5&1\\0&5\end{bmatrix}$, $\begin{bmatrix}11&5\\8&9\end{bmatrix}$, $\begin{bmatrix}11&14\\0&13\end{bmatrix}$, $\begin{bmatrix}13&6\\0&11\end{bmatrix}$
16.24.0.i.1	16.24.0.15	X115	16C0	16C0-16b		$16$	$24$	$0$	$0$	$1$	$6$	$2$		$?$	?	?	✓	not computed	$1$	$83$		$\begin{bmatrix}5&1\\12&11\end{bmatrix}$, $\begin{bmatrix}7&2\\8&1\end{bmatrix}$, $\begin{bmatrix}7&3\\4&3\end{bmatrix}$, $\begin{bmatrix}9&14\\0&11\end{bmatrix}$
16.24.0.j.1	16.24.0.17	X116	16C0	16C0-16a		$16$	$24$	$0$	$0$	$1$	$6$	$2$	✓	$?$	?	?	✓	not computed	$1$	$82$		$\begin{bmatrix}3&5\\12&5\end{bmatrix}$, $\begin{bmatrix}9&15\\4&13\end{bmatrix}$, $\begin{bmatrix}11&7\\4&1\end{bmatrix}$, $\begin{bmatrix}13&11\\4&11\end{bmatrix}$
16.24.0.k.1	16.24.0.33	X105	8K0	8K0-16b		$16$	$24$	$0$	$0$	$1$	$5$	$1$	✓	$?$	?	?	✓	not computed	$1$	$23$		$\begin{bmatrix}5&11\\4&3\end{bmatrix}$, $\begin{bmatrix}5&12\\10&11\end{bmatrix}$, $\begin{bmatrix}9&12\\12&1\end{bmatrix}$, $\begin{bmatrix}15&10\\12&3\end{bmatrix}$
16.24.0.k.2	16.24.0.34	X107	8K0	8K0-16d		$16$	$24$	$0$	$0$	$1$	$5$	$1$	✓	$?$	?	?	✓	not computed	$1$	$17$		$\begin{bmatrix}3&4\\14&13\end{bmatrix}$, $\begin{bmatrix}5&10\\0&9\end{bmatrix}$, $\begin{bmatrix}7&5\\0&5\end{bmatrix}$, $\begin{bmatrix}9&10\\12&5\end{bmatrix}$
16.24.0.l.1	16.24.0.32	X124	8K0	8K0-16c		$16$	$24$	$0$	$0$	$1$	$5$	$1$	✓	$?$	?	?	✓	not computed	$1$	$11$		$\begin{bmatrix}7&2\\8&11\end{bmatrix}$, $\begin{bmatrix}7&7\\4&13\end{bmatrix}$, $\begin{bmatrix}9&6\\10&15\end{bmatrix}$, $\begin{bmatrix}9&9\\10&11\end{bmatrix}$
16.24.0.l.2	16.24.0.31	X106	8K0	8K0-16a		$16$	$24$	$0$	$0$	$1$	$5$	$1$	✓	$?$	?	?	✓	not computed	$1$	$18$		$\begin{bmatrix}1&7\\2&11\end{bmatrix}$, $\begin{bmatrix}3&8\\4&3\end{bmatrix}$, $\begin{bmatrix}9&4\\14&15\end{bmatrix}$, $\begin{bmatrix}11&15\\6&1\end{bmatrix}$
16.24.0.m.1	16.24.0.38	X111	16E0	16E0-16a		$16$	$24$	$0$	$0$	$1$	$5$	$1$	✓	$?$	?	?	✓	not computed	$1$	$9$		$\begin{bmatrix}7&7\\12&1\end{bmatrix}$, $\begin{bmatrix}7&11\\6&9\end{bmatrix}$, $\begin{bmatrix}9&5\\0&15\end{bmatrix}$, $\begin{bmatrix}11&14\\10&9\end{bmatrix}$
16.24.0.m.2	16.24.0.37	X109	16E0	16E0-16d		$16$	$24$	$0$	$0$	$1$	$5$	$1$	✓	$?$	?	?	✓	not computed	$1$	$11$		$\begin{bmatrix}1&10\\8&9\end{bmatrix}$, $\begin{bmatrix}5&1\\12&11\end{bmatrix}$, $\begin{bmatrix}5&9\\14&3\end{bmatrix}$, $\begin{bmatrix}15&1\\14&13\end{bmatrix}$
16.24.0.n.1	16.24.0.35	X110	16E0	16E0-16b		$16$	$24$	$0$	$0$	$1$	$5$	$1$	✓	$?$	?	?	✓	not computed	$1$	$25$		$\begin{bmatrix}3&6\\4&7\end{bmatrix}$, $\begin{bmatrix}7&5\\14&5\end{bmatrix}$, $\begin{bmatrix}9&11\\14&11\end{bmatrix}$, $\begin{bmatrix}15&3\\8&1\end{bmatrix}$
16.24.0.n.2	16.24.0.36	X112	16E0	16E0-16c		$16$	$24$	$0$	$0$	$1$	$5$	$1$	✓	$?$	?	?	✓	not computed	$1$	$12$		$\begin{bmatrix}5&9\\8&11\end{bmatrix}$, $\begin{bmatrix}15&4\\6&13\end{bmatrix}$, $\begin{bmatrix}15&7\\2&1\end{bmatrix}$, $\begin{bmatrix}15&14\\14&9\end{bmatrix}$
16.24.0.o.1	16.24.0.22	X104	16B0	16B0-16d		$16$	$24$	$0$	$0$	$1$	$2$	$2$		$?$	?	?	✓	not computed	$1$	$5$		$\begin{bmatrix}1&14\\8&3\end{bmatrix}$, $\begin{bmatrix}11&1\\6&5\end{bmatrix}$, $\begin{bmatrix}11&5\\6&9\end{bmatrix}$, $\begin{bmatrix}15&9\\14&7\end{bmatrix}$
16.24.0.o.2	16.24.0.21	X103	16B0	16B0-16b		$16$	$24$	$0$	$0$	$1$	$2$	$2$		$?$	?	?	✓	not computed	$1$	$4$		$\begin{bmatrix}1&11\\10&15\end{bmatrix}$, $\begin{bmatrix}3&13\\14&5\end{bmatrix}$, $\begin{bmatrix}5&5\\6&13\end{bmatrix}$, $\begin{bmatrix}7&5\\6&11\end{bmatrix}$
16.24.0.p.1	16.24.0.39	X113	16B0	16B0-16a		$16$	$24$	$0$	$0$	$1$	$2$	$2$	✓	$?$	?	?	✓	not computed	$1$	$4$		$\begin{bmatrix}3&5\\10&5\end{bmatrix}$, $\begin{bmatrix}3&10\\4&3\end{bmatrix}$, $\begin{bmatrix}9&12\\14&7\end{bmatrix}$, $\begin{bmatrix}11&14\\0&7\end{bmatrix}$
16.24.0.p.2	16.24.0.40	X114	16B0	16B0-16c		$16$	$24$	$0$	$0$	$1$	$2$	$2$	✓	$?$	?	?	✓	not computed	$1$	$4$		$\begin{bmatrix}3&0\\10&5\end{bmatrix}$, $\begin{bmatrix}9&5\\8&7\end{bmatrix}$, $\begin{bmatrix}9&11\\14&7\end{bmatrix}$, $\begin{bmatrix}13&5\\12&3\end{bmatrix}$
16.24.1-8.b.1.1	16.24.1.24		8A1			$16$	$24$	$1$	$0$	$2$	$2$	$2$	✓	$2^{5}$	✓	✓		$1$		$2$		$\begin{bmatrix}3&2\\4&5\end{bmatrix}$, $\begin{bmatrix}5&3\\2&9\end{bmatrix}$, $\begin{bmatrix}9&12\\8&13\end{bmatrix}$, $\begin{bmatrix}15&10\\12&13\end{bmatrix}$
16.24.1-8.b.1.2	16.24.1.22		8A1			$16$	$24$	$1$	$0$	$2$	$2$	$2$	✓	$2^{5}$	✓	✓		$1$		$2$		$\begin{bmatrix}5&13\\6&1\end{bmatrix}$, $\begin{bmatrix}9&3\\6&7\end{bmatrix}$, $\begin{bmatrix}13&9\\10&7\end{bmatrix}$, $\begin{bmatrix}15&1\\10&1\end{bmatrix}$
16.24.1-8.b.1.3	16.24.1.23		8A1			$16$	$24$	$1$	$0$	$2$	$2$	$2$	✓	$2^{5}$	✓	✓		$1$		$2$		$\begin{bmatrix}3&15\\10&15\end{bmatrix}$, $\begin{bmatrix}9&12\\0&5\end{bmatrix}$, $\begin{bmatrix}13&9\\2&15\end{bmatrix}$, $\begin{bmatrix}15&13\\6&11\end{bmatrix}$
16.24.1-8.b.1.4	16.24.1.21		8A1			$16$	$24$	$1$	$0$	$2$	$2$	$2$	✓	$2^{5}$	✓	✓		$1$		$2$		$\begin{bmatrix}5&10\\12&11\end{bmatrix}$, $\begin{bmatrix}7&1\\14&3\end{bmatrix}$, $\begin{bmatrix}9&0\\0&13\end{bmatrix}$, $\begin{bmatrix}13&4\\8&3\end{bmatrix}$
16.24.1-8.c.1.1	16.24.1.25		8A1			$16$	$24$	$1$	$0$	$2$	$2$	$2$	✓	$2^{6}$	✓	✓		$1$		$2$		$\begin{bmatrix}7&3\\2&13\end{bmatrix}$, $\begin{bmatrix}7&12\\12&11\end{bmatrix}$, $\begin{bmatrix}11&10\\10&13\end{bmatrix}$, $\begin{bmatrix}13&7\\6&7\end{bmatrix}$
16.24.1-8.c.1.2	16.24.1.29		8A1			$16$	$24$	$1$	$0$	$2$	$2$	$2$	✓	$2^{6}$	✓	✓		$1$		$2$		$\begin{bmatrix}1&7\\8&15\end{bmatrix}$, $\begin{bmatrix}3&3\\14&1\end{bmatrix}$, $\begin{bmatrix}5&6\\8&9\end{bmatrix}$, $\begin{bmatrix}13&5\\6&15\end{bmatrix}$

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