LMFDB - Modular curve search results

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Level	Index	Genus	Rank	Genus-rank difference

$\Q$-gonality	Cusps	$\Q$-cusps	Elliptic points of order 2	Elliptic points of order 3

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Minimally covered by	Contains $-I$	Points	Obstructions	Family

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Results (1-50 of 389528 matches)

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Label	RSZB label	CP label	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
24.2.0.a.1	24.2.0.2	2A0	$24$	$2$	$0$	$0$	$1$	$1$	$1$	✓	$?$	?	?	✓	not computed	$1$	$6469$		$\begin{bmatrix}9&13\\22&17\end{bmatrix}$, $\begin{bmatrix}16&3\\5&2\end{bmatrix}$, $\begin{bmatrix}21&19\\14&19\end{bmatrix}$
24.2.0.b.1	24.2.0.1	2A0	$24$	$2$	$0$	$0$	$1$	$1$	$1$	✓	$?$	?	?	✓	not computed	$1$	$5364$		$\begin{bmatrix}5&19\\8&11\end{bmatrix}$, $\begin{bmatrix}17&0\\15&1\end{bmatrix}$, $\begin{bmatrix}20&19\\17&6\end{bmatrix}$
24.4.0-2.a.1.1	24.4.0.1	2A0	$24$	$4$	$0$	$0$	$1$	$1$	$1$	✓	$?$	?	?		not computed		$32741$		$\begin{bmatrix}7&0\\16&5\end{bmatrix}$, $\begin{bmatrix}15&17\\13&0\end{bmatrix}$, $\begin{bmatrix}18&1\\13&21\end{bmatrix}$
24.4.0-4.a.1.1	24.4.0.2	2A0	$24$	$4$	$0$	$0$	$1$	$1$	$1$	✓	$?$	?	?		not computed		$13526$		$\begin{bmatrix}9&8\\2&1\end{bmatrix}$, $\begin{bmatrix}9&10\\17&13\end{bmatrix}$, $\begin{bmatrix}22&3\\23&19\end{bmatrix}$
24.6.0.a.1	24.6.0.6	2C0	$24$	$6$	$0$	$0$	$1$	$3$	$1$	✓	$?$	?	?	✓	not computed	$1$	$6066$		$\begin{bmatrix}5&0\\14&1\end{bmatrix}$, $\begin{bmatrix}9&22\\2&21\end{bmatrix}$, $\begin{bmatrix}11&7\\10&1\end{bmatrix}$, $\begin{bmatrix}13&5\\12&11\end{bmatrix}$
24.6.0.b.1	24.6.0.5	2C0	$24$	$6$	$0$	$0$	$1$	$3$	$1$	✓	$?$	?	?	✓	not computed	$1$	$3654$		$\begin{bmatrix}11&22\\6&23\end{bmatrix}$, $\begin{bmatrix}13&21\\16&11\end{bmatrix}$, $\begin{bmatrix}15&8\\20&21\end{bmatrix}$, $\begin{bmatrix}17&8\\4&5\end{bmatrix}$
24.6.0.c.1	24.6.0.3	4B0	$24$	$6$	$0$	$0$	$1$	$3$	$1$	✓	$?$	?	?	✓	not computed	$1$	$3654$		$\begin{bmatrix}3&14\\14&7\end{bmatrix}$, $\begin{bmatrix}9&7\\4&1\end{bmatrix}$, $\begin{bmatrix}11&2\\12&1\end{bmatrix}$, $\begin{bmatrix}23&15\\0&23\end{bmatrix}$
24.6.0.d.1	24.6.0.2	4B0	$24$	$6$	$0$	$0$	$1$	$3$	$1$	✓	$?$	?	?	✓	not computed	$1$	$6066$		$\begin{bmatrix}5&0\\22&7\end{bmatrix}$, $\begin{bmatrix}11&12\\2&19\end{bmatrix}$, $\begin{bmatrix}13&23\\10&13\end{bmatrix}$, $\begin{bmatrix}17&16\\16&21\end{bmatrix}$
24.6.0.e.1	24.6.0.10	3C0	$24$	$6$	$0$	$0$	$1 \le \gamma \le 2$	$2$	$0$		$?$	?	?	✓	not computed	$1$	$0$	?	$\begin{bmatrix}3&2\\4&9\end{bmatrix}$, $\begin{bmatrix}5&15\\15&22\end{bmatrix}$, $\begin{bmatrix}12&5\\1&12\end{bmatrix}$, $\begin{bmatrix}13&11\\5&14\end{bmatrix}$
24.6.0.f.1	24.6.0.7	3C0	$24$	$6$	$0$	$0$	$2$	$2$	$0$		$?$	?	?	✓	not computed	$1$	$0$	✓	$\begin{bmatrix}8&17\\7&17\end{bmatrix}$, $\begin{bmatrix}11&4\\10&1\end{bmatrix}$, $\begin{bmatrix}11&18\\15&1\end{bmatrix}$, $\begin{bmatrix}13&8\\19&13\end{bmatrix}$
24.6.0.g.1	24.6.0.14	3C0	$24$	$6$	$0$	$0$	$2$	$2$	$0$		$?$	?	?	✓	not computed	$1$	$0$	✓	$\begin{bmatrix}3&17\\2&15\end{bmatrix}$, $\begin{bmatrix}7&20\\5&23\end{bmatrix}$, $\begin{bmatrix}9&19\\11&12\end{bmatrix}$, $\begin{bmatrix}21&7\\2&3\end{bmatrix}$
24.6.0.h.1	24.6.0.11	3C0	$24$	$6$	$0$	$0$	$1 \le \gamma \le 2$	$2$	$0$		$?$	?	?	✓	not computed	$1$	$0$	?	$\begin{bmatrix}11&2\\10&11\end{bmatrix}$, $\begin{bmatrix}15&4\\1&3\end{bmatrix}$, $\begin{bmatrix}18&7\\5&21\end{bmatrix}$, $\begin{bmatrix}19&23\\11&8\end{bmatrix}$
24.6.0.i.1	24.6.0.1	4C0	$24$	$6$	$0$	$0$	$1$	$2$	$2$		$?$	?	?	✓	not computed	$1$	$1419$		$\begin{bmatrix}11&17\\4&9\end{bmatrix}$, $\begin{bmatrix}13&22\\8&19\end{bmatrix}$, $\begin{bmatrix}23&20\\22&23\end{bmatrix}$, $\begin{bmatrix}23&22\\12&19\end{bmatrix}$
24.6.0.j.1	24.6.0.4	4C0	$24$	$6$	$0$	$0$	$1$	$2$	$2$		$?$	?	?	✓	not computed	$1$	$1275$		$\begin{bmatrix}5&1\\8&5\end{bmatrix}$, $\begin{bmatrix}11&11\\8&7\end{bmatrix}$, $\begin{bmatrix}11&17\\8&21\end{bmatrix}$, $\begin{bmatrix}21&14\\10&19\end{bmatrix}$
24.6.0.k.1	24.6.0.12	6B0	$24$	$6$	$0$	$0$	$1$	$1$	$1$	✓	$?$	?	?	✓	not computed	$1$	$9$		$\begin{bmatrix}1&5\\23&14\end{bmatrix}$, $\begin{bmatrix}8&21\\9&16\end{bmatrix}$, $\begin{bmatrix}13&10\\10&5\end{bmatrix}$, $\begin{bmatrix}19&15\\0&7\end{bmatrix}$
24.6.0.l.1	24.6.0.13	6B0	$24$	$6$	$0$	$0$	$1$	$1$	$1$	✓	$?$	?	?	✓	not computed	$1$	$19$		$\begin{bmatrix}16&1\\23&22\end{bmatrix}$, $\begin{bmatrix}20&13\\19&22\end{bmatrix}$, $\begin{bmatrix}20&23\\11&4\end{bmatrix}$, $\begin{bmatrix}22&11\\5&5\end{bmatrix}$
24.6.0.m.1	24.6.0.8	6B0	$24$	$6$	$0$	$0$	$1$	$1$	$1$	✓	$?$	?	?	✓	not computed	$1$	$20$		$\begin{bmatrix}5&9\\18&7\end{bmatrix}$, $\begin{bmatrix}10&7\\7&20\end{bmatrix}$, $\begin{bmatrix}13&2\\14&5\end{bmatrix}$, $\begin{bmatrix}19&6\\21&23\end{bmatrix}$
24.6.0.n.1	24.6.0.9	6B0	$24$	$6$	$0$	$0$	$1$	$1$	$1$	✓	$?$	?	?	✓	not computed	$1$	$11$		$\begin{bmatrix}1&18\\18&7\end{bmatrix}$, $\begin{bmatrix}4&5\\17&23\end{bmatrix}$, $\begin{bmatrix}11&19\\23&8\end{bmatrix}$, $\begin{bmatrix}19&13\\2&13\end{bmatrix}$
24.6.1.a.1	24.6.1.1	6A1	$24$	$6$	$1$	$0$	$2$	$1$	$1$	✓	$2^{6}\cdot3^{2}$	✓	✓	✓	$1$	$1$	$1$		$\begin{bmatrix}1&21\\0&5\end{bmatrix}$, $\begin{bmatrix}5&19\\16&19\end{bmatrix}$, $\begin{bmatrix}9&5\\20&3\end{bmatrix}$, $\begin{bmatrix}23&2\\7&5\end{bmatrix}$
24.6.1.b.1	24.6.1.2	6A1	$24$	$6$	$1$	$1$	$2$	$1$	$1$	✓	$2^{6}\cdot3^{2}$	✓	✓	✓	$1$	$1$	$5$		$\begin{bmatrix}8&7\\11&8\end{bmatrix}$, $\begin{bmatrix}9&11\\23&6\end{bmatrix}$, $\begin{bmatrix}16&11\\19&1\end{bmatrix}$, $\begin{bmatrix}21&5\\20&3\end{bmatrix}$
24.6.1.c.1	24.6.1.4	6A1	$24$	$6$	$1$	$0$	$2$	$1$	$1$	✓	$2^{6}\cdot3^{2}$	✓	✓	✓	$1$	$1$	$1$		$\begin{bmatrix}4&19\\5&7\end{bmatrix}$, $\begin{bmatrix}13&1\\20&1\end{bmatrix}$, $\begin{bmatrix}20&11\\17&22\end{bmatrix}$, $\begin{bmatrix}23&7\\8&5\end{bmatrix}$
24.6.1.d.1	24.6.1.3	6A1	$24$	$6$	$1$	$1$	$2$	$1$	$1$	✓	$2^{6}\cdot3^{2}$	✓	✓	✓	$1$	$1$	$9$		$\begin{bmatrix}4&1\\17&13\end{bmatrix}$, $\begin{bmatrix}5&22\\23&5\end{bmatrix}$, $\begin{bmatrix}7&18\\21&5\end{bmatrix}$, $\begin{bmatrix}13&6\\15&1\end{bmatrix}$
24.8.0-3.a.1.1	24.8.0.1	3B0	$24$	$8$	$0$	$0$	$1$	$2$	$2$	✓	$?$	?	?		not computed		$78279$		$\begin{bmatrix}7&0\\6&11\end{bmatrix}$, $\begin{bmatrix}7&16\\9&1\end{bmatrix}$, $\begin{bmatrix}16&13\\3&4\end{bmatrix}$, $\begin{bmatrix}17&21\\12&13\end{bmatrix}$
24.8.0-3.a.1.2	24.8.0.2	3B0	$24$	$8$	$0$	$0$	$1$	$2$	$2$	✓	$?$	?	?		not computed		$78279$		$\begin{bmatrix}1&14\\3&17\end{bmatrix}$, $\begin{bmatrix}4&7\\21&23\end{bmatrix}$, $\begin{bmatrix}8&11\\9&4\end{bmatrix}$, $\begin{bmatrix}10&17\\3&1\end{bmatrix}$
24.8.0-3.a.1.3	24.8.0.7	3B0	$24$	$8$	$0$	$0$	$1$	$2$	$2$	✓	$?$	?	?		not computed		$78279$		$\begin{bmatrix}1&16\\3&23\end{bmatrix}$, $\begin{bmatrix}13&17\\3&2\end{bmatrix}$, $\begin{bmatrix}17&10\\18&13\end{bmatrix}$, $\begin{bmatrix}23&9\\12&23\end{bmatrix}$
24.8.0-3.a.1.4	24.8.0.8	3B0	$24$	$8$	$0$	$0$	$1$	$2$	$2$	✓	$?$	?	?		not computed		$78279$		$\begin{bmatrix}5&17\\9&14\end{bmatrix}$, $\begin{bmatrix}7&3\\15&8\end{bmatrix}$, $\begin{bmatrix}13&15\\3&14\end{bmatrix}$, $\begin{bmatrix}23&8\\9&1\end{bmatrix}$
24.8.0-3.a.1.5	24.8.0.4	3B0	$24$	$8$	$0$	$0$	$1$	$2$	$2$	✓	$?$	?	?		not computed		$78279$		$\begin{bmatrix}11&21\\15&2\end{bmatrix}$, $\begin{bmatrix}19&4\\3&23\end{bmatrix}$, $\begin{bmatrix}19&16\\3&7\end{bmatrix}$, $\begin{bmatrix}23&7\\21&8\end{bmatrix}$
24.8.0-3.a.1.6	24.8.0.3	3B0	$24$	$8$	$0$	$0$	$1$	$2$	$2$	✓	$?$	?	?		not computed		$78279$		$\begin{bmatrix}5&16\\12&17\end{bmatrix}$, $\begin{bmatrix}7&5\\12&1\end{bmatrix}$, $\begin{bmatrix}7&13\\18&17\end{bmatrix}$, $\begin{bmatrix}11&21\\9&8\end{bmatrix}$
24.8.0-3.a.1.7	24.8.0.5	3B0	$24$	$8$	$0$	$0$	$1$	$2$	$2$	✓	$?$	?	?		not computed		$78279$		$\begin{bmatrix}4&15\\15&4\end{bmatrix}$, $\begin{bmatrix}13&16\\6&11\end{bmatrix}$, $\begin{bmatrix}17&10\\18&7\end{bmatrix}$, $\begin{bmatrix}23&13\\9&20\end{bmatrix}$
24.8.0-3.a.1.8	24.8.0.6	3B0	$24$	$8$	$0$	$0$	$1$	$2$	$2$	✓	$?$	?	?		not computed		$78279$		$\begin{bmatrix}11&13\\15&14\end{bmatrix}$, $\begin{bmatrix}13&23\\18&17\end{bmatrix}$, $\begin{bmatrix}16&19\\21&11\end{bmatrix}$, $\begin{bmatrix}19&4\\15&19\end{bmatrix}$
24.8.0.a.1	24.8.0.9	6C0	$24$	$8$	$0$	$0$	$1$	$2$	$2$		$?$	?	?	✓	not computed	$1$	$311$		$\begin{bmatrix}2&13\\15&19\end{bmatrix}$, $\begin{bmatrix}5&16\\18&5\end{bmatrix}$, $\begin{bmatrix}8&19\\21&1\end{bmatrix}$, $\begin{bmatrix}16&13\\15&20\end{bmatrix}$
24.8.0.b.1	24.8.0.10	6C0	$24$	$8$	$0$	$0$	$1$	$2$	$2$		$?$	?	?	✓	not computed	$1$	$224$		$\begin{bmatrix}5&20\\6&13\end{bmatrix}$, $\begin{bmatrix}7&22\\21&7\end{bmatrix}$, $\begin{bmatrix}10&7\\9&14\end{bmatrix}$, $\begin{bmatrix}17&12\\0&7\end{bmatrix}$
24.8.0.c.1	24.8.0.12	6C0	$24$	$8$	$0$	$0$	$1$	$2$	$2$		$?$	?	?	✓	not computed	$1$	$151$		$\begin{bmatrix}11&15\\15&14\end{bmatrix}$, $\begin{bmatrix}13&8\\3&1\end{bmatrix}$, $\begin{bmatrix}17&13\\0&23\end{bmatrix}$, $\begin{bmatrix}20&13\\9&13\end{bmatrix}$
24.8.0.d.1	24.8.0.11	6C0	$24$	$8$	$0$	$0$	$1$	$2$	$2$		$?$	?	?	✓	not computed	$1$	$224$		$\begin{bmatrix}5&6\\15&7\end{bmatrix}$, $\begin{bmatrix}8&13\\9&20\end{bmatrix}$, $\begin{bmatrix}13&13\\0&11\end{bmatrix}$, $\begin{bmatrix}16&15\\9&2\end{bmatrix}$
24.8.0.e.1	24.8.0.14	4D0	$24$	$8$	$0$	$0$	$2$	$2$	$0$		$?$	?	?	✓	not computed	$1$	$0$	✓	$\begin{bmatrix}2&11\\23&22\end{bmatrix}$, $\begin{bmatrix}7&11\\10&1\end{bmatrix}$, $\begin{bmatrix}14&9\\1&13\end{bmatrix}$
24.8.0.f.1	24.8.0.13	4D0	$24$	$8$	$0$	$0$	$1 \le \gamma \le 2$	$2$	$0$		$?$	?	?	✓	not computed		$12$	?	$\begin{bmatrix}7&11\\3&16\end{bmatrix}$, $\begin{bmatrix}14&11\\7&14\end{bmatrix}$, $\begin{bmatrix}14&17\\17&9\end{bmatrix}$
24.12.0-2.a.1.1	24.12.0.1	2C0	$24$	$12$	$0$	$0$	$1$	$3$	$3$	✓	$?$	?	?		not computed		$31721$		$\begin{bmatrix}1&4\\18&13\end{bmatrix}$, $\begin{bmatrix}1&22\\20&13\end{bmatrix}$, $\begin{bmatrix}17&14\\8&7\end{bmatrix}$, $\begin{bmatrix}23&4\\14&15\end{bmatrix}$, $\begin{bmatrix}23&8\\14&1\end{bmatrix}$
24.12.0-2.a.1.2	24.12.0.2	2C0	$24$	$12$	$0$	$0$	$1$	$3$	$3$	✓	$?$	?	?		not computed		$31721$		$\begin{bmatrix}3&8\\14&1\end{bmatrix}$, $\begin{bmatrix}11&2\\0&5\end{bmatrix}$, $\begin{bmatrix}15&4\\14&1\end{bmatrix}$, $\begin{bmatrix}19&18\\14&13\end{bmatrix}$, $\begin{bmatrix}21&2\\14&19\end{bmatrix}$
24.12.0-4.a.1.1	24.12.0.41	2C0	$24$	$12$	$0$	$0$	$1$	$3$	$1$	✓	$?$	?	?		not computed		$11630$		$\begin{bmatrix}3&4\\16&3\end{bmatrix}$, $\begin{bmatrix}7&10\\22&15\end{bmatrix}$, $\begin{bmatrix}13&16\\22&5\end{bmatrix}$, $\begin{bmatrix}15&23\\4&21\end{bmatrix}$
24.12.0-4.a.1.2	24.12.0.42	2C0	$24$	$12$	$0$	$0$	$1$	$3$	$1$	✓	$?$	?	?		not computed		$11630$		$\begin{bmatrix}3&10\\4&7\end{bmatrix}$, $\begin{bmatrix}7&6\\2&11\end{bmatrix}$, $\begin{bmatrix}7&11\\18&19\end{bmatrix}$, $\begin{bmatrix}13&10\\6&1\end{bmatrix}$
24.12.0-4.b.1.1	24.12.0.25	4B0	$24$	$12$	$0$	$0$	$1$	$3$	$1$	✓	$?$	?	?		not computed		$11630$		$\begin{bmatrix}1&9\\22&13\end{bmatrix}$, $\begin{bmatrix}17&10\\22&19\end{bmatrix}$, $\begin{bmatrix}17&12\\0&5\end{bmatrix}$, $\begin{bmatrix}23&19\\0&7\end{bmatrix}$
24.12.0-4.b.1.2	24.12.0.27	4B0	$24$	$12$	$0$	$0$	$1$	$3$	$1$	✓	$?$	?	?		not computed		$11630$		$\begin{bmatrix}1&22\\20&21\end{bmatrix}$, $\begin{bmatrix}17&1\\12&1\end{bmatrix}$, $\begin{bmatrix}19&9\\8&19\end{bmatrix}$, $\begin{bmatrix}23&14\\2&21\end{bmatrix}$
24.12.0-4.b.1.3	24.12.0.28	4B0	$24$	$12$	$0$	$0$	$1$	$3$	$1$	✓	$?$	?	?		not computed		$11630$		$\begin{bmatrix}5&1\\20&21\end{bmatrix}$, $\begin{bmatrix}11&6\\2&17\end{bmatrix}$, $\begin{bmatrix}11&14\\6&1\end{bmatrix}$, $\begin{bmatrix}13&13\\8&13\end{bmatrix}$
24.12.0-4.b.1.4	24.12.0.26	4B0	$24$	$12$	$0$	$0$	$1$	$3$	$1$	✓	$?$	?	?		not computed		$11630$		$\begin{bmatrix}9&4\\2&15\end{bmatrix}$, $\begin{bmatrix}17&20\\2&3\end{bmatrix}$, $\begin{bmatrix}19&19\\18&7\end{bmatrix}$, $\begin{bmatrix}23&14\\8&15\end{bmatrix}$
24.12.0-4.c.1.1	24.12.0.10	4B0	$24$	$12$	$0$	$0$	$1$	$3$	$3$	✓	$?$	?	?		not computed		$95099$		$\begin{bmatrix}7&17\\12&23\end{bmatrix}$, $\begin{bmatrix}11&18\\8&1\end{bmatrix}$, $\begin{bmatrix}11&23\\16&23\end{bmatrix}$, $\begin{bmatrix}19&13\\16&17\end{bmatrix}$, $\begin{bmatrix}21&10\\8&7\end{bmatrix}$
24.12.0-4.c.1.2	24.12.0.9	4B0	$24$	$12$	$0$	$0$	$1$	$3$	$3$	✓	$?$	?	?		not computed		$95099$		$\begin{bmatrix}1&9\\12&5\end{bmatrix}$, $\begin{bmatrix}9&11\\16&11\end{bmatrix}$, $\begin{bmatrix}13&0\\0&19\end{bmatrix}$, $\begin{bmatrix}15&17\\20&1\end{bmatrix}$, $\begin{bmatrix}19&6\\12&7\end{bmatrix}$
24.12.0-4.c.1.3	24.12.0.17	4B0	$24$	$12$	$0$	$0$	$1$	$3$	$3$	✓	$?$	?	?		not computed		$95099$		$\begin{bmatrix}5&1\\4&3\end{bmatrix}$, $\begin{bmatrix}5&14\\4&23\end{bmatrix}$, $\begin{bmatrix}7&13\\16&9\end{bmatrix}$, $\begin{bmatrix}17&12\\8&11\end{bmatrix}$, $\begin{bmatrix}19&23\\20&23\end{bmatrix}$
24.12.0-4.c.1.4	24.12.0.16	4B0	$24$	$12$	$0$	$0$	$1$	$3$	$3$	✓	$?$	?	?		not computed		$95099$		$\begin{bmatrix}5&13\\12&17\end{bmatrix}$, $\begin{bmatrix}5&20\\16&17\end{bmatrix}$, $\begin{bmatrix}11&1\\16&15\end{bmatrix}$, $\begin{bmatrix}15&10\\16&15\end{bmatrix}$, $\begin{bmatrix}15&20\\20&1\end{bmatrix}$
24.12.0-4.c.1.5	24.12.0.18	4B0	$24$	$12$	$0$	$0$	$1$	$3$	$3$	✓	$?$	?	?		not computed		$95099$		$\begin{bmatrix}1&18\\20&5\end{bmatrix}$, $\begin{bmatrix}3&4\\16&17\end{bmatrix}$, $\begin{bmatrix}11&1\\0&23\end{bmatrix}$, $\begin{bmatrix}11&5\\16&21\end{bmatrix}$, $\begin{bmatrix}21&20\\16&3\end{bmatrix}$
24.12.0-4.c.1.6	24.12.0.15	4B0	$24$	$12$	$0$	$0$	$1$	$3$	$3$	✓	$?$	?	?		not computed		$95099$		$\begin{bmatrix}1&13\\8&13\end{bmatrix}$, $\begin{bmatrix}1&21\\4&23\end{bmatrix}$, $\begin{bmatrix}7&2\\0&5\end{bmatrix}$, $\begin{bmatrix}11&20\\8&3\end{bmatrix}$, $\begin{bmatrix}23&13\\16&15\end{bmatrix}$

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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.