LMFDB - p-adic field search results

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Degree	Residue characteristic	Galois group	Galois unramified degree	Assoc. Inertia

Ramification index	Discriminant exponent	Inertia subgroup	Galois tame degree	Indices

Residue field degree	Top slope	Wild	Visible	Wild inertia subgroup

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Results (1-50 of 590 matches)

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Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Ind. of Insep.	Assoc. Inertia
2.14.0.1	$14$	x¹⁴ + x⁷ + x⁵ + x³ + 1	$2$	$1$	$14$	$0$	$C_{14}$ (as 14T1)	$14$	$1$	$[\ ]$	$[\ ]^{14}$	$[0]$	$[]$
2.14.12.1	$14$	x¹⁴ + 7x¹³ + 28x¹² + 77x¹¹ + 161x¹⁰ + 266x⁹ + 357x⁸ + 397x⁷ + 371x⁶ + 224x⁵ + 21x⁴ + 7x³ + 70x² + 35x + 7	$2$	$7$	$2$	$12$	$(C_7:C_3) \times C_2$ (as 14T5)	$6$	$7$	$[\ ]$	$[\ ]_{7}^{6}$	$[0]$	$[3]$
2.14.14.1	$14$	x¹⁴ + 14x¹³ + 86x¹² + 312x¹¹ + 644x¹⁰ - 520x⁹ - 11432x⁸ - 52608x⁷ - 119376x⁶ - 50400x⁵ + 566816x⁴ + 1929856x³ + 3246784x² + 2999424x + 1331328	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.10	$14$	x¹⁴ - 12x¹³ + 74x¹² - 304x¹¹ + 1116x¹⁰ - 912x⁹ + 6104x⁸ - 1536x⁷ + 12208x⁶ - 3648x⁵ + 8928x⁴ - 4864x³ + 2368x² - 768x + 128	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.11	$14$	x¹⁴ + 78x¹² + 32x¹¹ + 1220x¹⁰ + 2944x⁹ + 16664x⁸ + 33152x⁷ + 97520x⁶ + 211712x⁵ + 308000x⁴ + 480256x³ + 827328x² + 903168x + 382592	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$14$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2]^{14}$	$[1, 0]$	$[1]$
2.14.14.12	$14$	x¹⁴ + 2x¹³ + 66x¹² + 496x¹¹ + 3092x¹⁰ + 16296x⁹ + 66568x⁸ + 234688x⁷ + 669424x⁶ + 1649632x⁵ + 3193312x⁴ + 5403648x³ + 6433984x² + 6444416x + 3453824	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.13	$14$	x¹⁴ + 110x¹² + 608x¹¹ + 3212x¹⁰ + 8992x⁹ + 26568x⁸ + 49792x⁷ + 109936x⁶ + 183168x⁵ + 302112x⁴ + 136704x³ - 176320x² - 190464x + 117632	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.14	$14$	x¹⁴ + 2x¹² + 56x¹¹ + 12x¹⁰ + 192x⁹ + 1336x⁸ + 768x⁷ + 1712x⁶ - 512x⁵ + 18528x⁴ + 39552x³ - 204224x² - 195584x + 259712	$2$	$2$	$7$	$14$	$C_2\times F_8$ (as 14T9)	$7$	$1$	$[2]$	$[2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.15	$14$	x¹⁴ + 14x¹³ + 126x¹² + 784x¹¹ + 4300x¹⁰ + 19592x⁹ + 80680x⁸ + 276608x⁷ + 822832x⁶ + 1982880x⁵ + 3998112x⁴ + 6222080x³ + 7679040x² + 6275456x + 3453824	$2$	$2$	$7$	$14$	$C_{14}$ (as 14T1)	$7$	$1$	$[2]$	$[2]^{7}$	$[1, 0]$	$[1]$
2.14.14.16	$14$	x¹⁴ + 2x¹³ + 42x¹² + 216x¹¹ + 1444x¹⁰ + 6120x⁹ + 31016x⁸ + 117248x⁷ + 421168x⁶ + 1164128x⁵ + 2968544x⁴ + 5580928x³ + 9331904x² + 10179456x + 11438976	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$14$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2]^{14}$	$[1, 0]$	$[1]$
2.14.14.17	$14$	x¹⁴ - 12x¹³ + 90x¹² + 112x¹¹ - 1924x¹⁰ - 544x⁹ + 37720x⁸ + 38592x⁷ + 6064x⁶ + 319936x⁵ + 553440x⁴ - 259584x³ - 1264320x² - 1064448x - 301952	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$14$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2]^{14}$	$[1, 0]$	$[1]$
2.14.14.18	$14$	x¹⁴ + 2x¹³ + 18x¹² + 152x¹¹ + 740x¹⁰ + 2504x⁹ + 9768x⁸ + 30336x⁷ + 78256x⁶ + 170976x⁵ + 351072x⁴ + 558208x³ + 627904x² + 397184x + 190336	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.19	$14$	x¹⁴ + 14x¹³ + 98x¹² + 400x¹¹ + 956x¹⁰ + 1160x⁹ + 152x⁸ - 320x⁷ + 5296x⁶ + 6432x⁵ - 11936x⁴ + 21504x³ + 2368x² - 13440x + 16512	$2$	$2$	$7$	$14$	$C_2^3:F_8$ (as 14T21)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.2	$14$	x¹⁴ + 14x¹³ + 102x¹² + 576x¹¹ + 3140x¹⁰ + 14392x⁹ + 49912x⁸ + 153536x⁷ + 453296x⁶ + 957216x⁵ + 952608x⁴ + 59648x³ + 31936x² + 608384x - 370048	$2$	$2$	$7$	$14$	$C_2\times F_8$ (as 14T9)	$14$	$1$	$[2]$	$[2, 2, 2]^{14}$	$[1, 0]$	$[1]$
2.14.14.20	$14$	x¹⁴ + 14x¹³ + 126x¹² + 1168x¹¹ + 9868x¹⁰ + 64520x⁹ + 317384x⁸ + 1190080x⁷ + 3447536x⁶ + 7751584x⁵ + 13448736x⁴ + 17658368x³ + 16807744x² + 10589568x + 3453824	$2$	$2$	$7$	$14$	$C_2^3:F_8$ (as 14T21)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.21	$14$	x¹⁴ + 14x¹³ + 150x¹² + 920x¹¹ + 4732x¹⁰ + 18168x⁹ + 62696x⁸ + 168768x⁷ + 416560x⁶ + 837152x⁵ + 1445152x⁴ + 1942400x³ + 2164544x² + 1809536x + 827264	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$14$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2]^{14}$	$[1, 0]$	$[1]$
2.14.14.22	$14$	x¹⁴ + 38x¹² - 8x¹¹ + 388x¹⁰ - 80x⁹ + 1624x⁸ + 3712x⁷ + 28336x⁶ + 66048x⁵ + 221984x⁴ + 196736x³ + 431808x² + 91392x + 204928	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.23	$14$	x¹⁴ - 12x¹³ + 142x¹² - 640x¹¹ + 2548x¹⁰ - 3904x⁹ + 12280x⁸ - 34048x⁷ + 159536x⁶ - 121792x⁵ - 109152x⁴ - 121344x³ + 389056x² - 197120x + 9856	$2$	$2$	$7$	$14$	$F_8$ (as 14T6)	$7$	$1$	$[2]$	$[2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.24	$14$	x¹⁴ + 54x¹² + 64x¹¹ + 1396x¹⁰ + 192x⁹ + 12440x⁸ - 2496x⁷ + 52592x⁶ + 38144x⁵ + 19360x⁴ + 147712x³ - 46912x² - 86016x + 382592	$2$	$2$	$7$	$14$	$C_2\times F_8$ (as 14T9)	$7$	$1$	$[2]$	$[2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.25	$14$	x¹⁴ + 14x¹³ + 114x¹² + 1200x¹¹ + 11164x¹⁰ + 66232x⁹ + 256408x⁸ + 687104x⁷ + 1311088x⁶ + 1763360x⁵ + 1573600x⁴ + 803584x³ + 184384x² + 90240x + 130688	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$14$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2]^{14}$	$[1, 0]$	$[1]$
2.14.14.26	$14$	x¹⁴ + 54x¹² + 472x¹¹ + 100x¹⁰ - 320x⁹ + 18968x⁸ - 22912x⁷ + 7600x⁶ + 72576x⁵ - 237792x⁴ - 117632x³ + 112320x² - 91648x + 62592	$2$	$2$	$7$	$14$	$C_2\times F_8$ (as 14T9)	$14$	$1$	$[2]$	$[2, 2, 2]^{14}$	$[1, 0]$	$[1]$
2.14.14.27	$14$	x¹⁴ + 70x¹² + 464x¹¹ + 3436x¹⁰ + 18112x⁹ + 84008x⁸ + 302144x⁷ + 956912x⁶ + 2396160x⁵ + 4775072x⁴ + 7114240x³ + 6744896x² + 2924544x + 1574272	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.28	$14$	x¹⁴ + 14x¹³ + 162x¹² + 1224x¹¹ + 6876x¹⁰ + 30936x⁹ + 112792x⁸ + 325440x⁷ + 782704x⁶ + 1551008x⁵ + 2508512x⁴ + 3324544x³ + 3534912x² + 2744448x + 1389184	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$14$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2]^{14}$	$[1, 0]$	$[1]$
2.14.14.29	$14$	x¹⁴ + 42x¹² + 336x¹¹ + 1572x¹⁰ + 1104x⁹ + 9160x⁸ + 21760x⁷ + 63088x⁶ + 116224x⁵ + 493152x⁴ + 727296x³ + 1236928x² + 742144x + 194432	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$14$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2]^{14}$	$[1, 0]$	$[1]$
2.14.14.3	$14$	x¹⁴ + 2x¹³ + 30x¹² + 904x¹¹ + 7764x¹⁰ + 37432x⁹ + 112280x⁸ + 199872x⁷ + 219312x⁶ + 231392x⁵ + 682912x⁴ + 1931904x³ + 3165120x² + 2978944x + 1331328	$2$	$2$	$7$	$14$	$F_8$ (as 14T6)	$7$	$1$	$[2]$	$[2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.30	$14$	x¹⁴ + 14x¹³ + 190x¹² + 1848x¹¹ + 11548x¹⁰ + 54664x⁹ + 205352x⁸ + 564736x⁷ + 1424048x⁶ + 2409760x⁵ + 3832224x⁴ + 3554944x³ + 2750784x² + 604032x + 998272	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.31	$14$	x¹⁴ - 12x¹³ + 50x¹² + 120x¹¹ - 820x¹⁰ - 144x⁹ + 8472x⁸ + 9920x⁷ - 30672x⁶ - 59456x⁵ + 106336x⁴ + 342912x³ + 180800x² - 207616x - 301952	$2$	$2$	$7$	$14$	$C_2^3:F_8$ (as 14T21)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.32	$14$	x¹⁴ + 54x¹² + 120x¹¹ + 820x¹⁰ + 2720x⁹ + 6776x⁸ + 25024x⁷ + 26992x⁶ + 10880x⁵ - 106848x⁴ - 260736x³ + 163520x² - 376832x + 67712	$2$	$2$	$7$	$14$	$C_2^3:F_8$ (as 14T21)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.33	$14$	x¹⁴ + 54x¹² + 48x¹¹ + 1212x¹⁰ + 2016x⁹ + 14888x⁸ + 30400x⁷ + 110384x⁶ + 189824x⁵ + 486944x⁴ + 467456x³ + 1346880x² + 270336x + 1659776	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.34	$14$	x¹⁴ + 14x¹³ + 98x¹² + 680x¹¹ + 4124x¹⁰ + 16872x⁹ + 59992x⁸ + 168192x⁷ + 397680x⁶ + 807456x⁵ + 1341920x⁴ + 1886592x³ + 2248768x² + 1722752x + 1571456	$2$	$2$	$7$	$14$	$C_2^3:F_8$ (as 14T21)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.35	$14$	x¹⁴ + 14x¹² + 48x¹¹ - 124x¹⁰ + 640x⁹ + 5272x⁸ - 9472x⁷ - 36944x⁶ + 63744x⁵ + 138912x⁴ - 23808x³ + 110272x² - 181248x + 62592	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.36	$14$	x¹⁴ + 14x¹³ + 178x¹² + 1408x¹¹ + 9124x¹⁰ + 39752x⁹ + 139912x⁸ + 354816x⁷ + 759216x⁶ + 1347488x⁵ + 2155616x⁴ + 3190784x³ + 3149504x² + 1996160x + 1327488	$2$	$2$	$7$	$14$	$C_2^3:F_8$ (as 14T21)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.37	$14$	x¹⁴ + 78x¹² + 80x¹¹ + 532x¹⁰ + 192x⁹ - 1160x⁸ + 640x⁷ + 496x⁶ - 13824x⁵ - 11744x⁴ + 30464x³ + 65216x² + 35840x + 119936	$2$	$2$	$7$	$14$	$C_2^3:F_8$ (as 14T21)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.38	$14$	x¹⁴ + 14x¹³ + 98x¹² + 448x¹¹ + 1948x¹⁰ + 8392x⁹ + 30520x⁸ + 84992x⁷ + 178608x⁶ + 284064x⁵ + 325984x⁴ + 242688x³ + 97600x² + 11648x - 5504	$2$	$2$	$7$	$14$	$C_{14}$ (as 14T1)	$7$	$1$	$[2]$	$[2]^{7}$	$[1, 0]$	$[1]$
2.14.14.39	$14$	x¹⁴ + 2x + 2	$2$	$14$	$1$	$14$	$C_2\times F_8:C_3$ (as 14T18)	$6$	$7$	$[8/7]$	$[8/7, 8/7, 8/7]_{7}^{6}$	$[1, 0]$	$[1, 3]$
2.14.14.4	$14$	x¹⁴ + 2x¹³ + 38x¹² + 240x¹¹ + 884x¹⁰ + 4840x⁹ + 13432x⁸ + 46528x⁷ + 102384x⁶ + 227552x⁵ + 361632x⁴ + 465408x³ + 432832x² + 199040x + 22656	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.40	$14$	x¹⁴ + 2x² + 2x + 2	$2$	$14$	$1$	$14$	$F_8:C_3$ (as 14T11)	$3$	$7$	$[8/7]$	$[8/7, 8/7, 8/7]_{7}^{3}$	$[1, 0]$	$[1, 3]$
2.14.14.5	$14$	x¹⁴ + 2x¹³ + 70x¹² + 808x¹¹ + 7772x¹⁰ + 51528x⁹ + 259720x⁸ + 1006080x⁷ + 3047152x⁶ + 7154528x⁵ + 12862880x⁴ + 17283456x³ + 16442432x² + 9668992x + 2866048	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.6	$14$	x¹⁴ - 12x¹³ + 130x¹² - 136x¹¹ + 3012x¹⁰ + 8480x⁹ + 51432x⁸ + 193984x⁷ + 470000x⁶ + 1112768x⁵ + 2842336x⁴ + 5511552x³ + 6262208x² + 3639808x + 686464	$2$	$2$	$7$	$14$	$C_2\times F_8$ (as 14T9)	$7$	$1$	$[2]$	$[2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.7	$14$	x¹⁴ + 2x¹³ + 42x¹² + 704x¹¹ + 3660x¹⁰ + 11000x⁹ + 40152x⁸ + 158272x⁷ + 362736x⁶ + 302048x⁵ - 214176x⁴ - 417536x³ - 79552x² + 172160x + 89728	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.8	$14$	x¹⁴ + 78x¹² + 192x¹¹ + 2268x¹⁰ + 6096x⁹ + 22024x⁸ + 23936x⁷ - 49104x⁶ - 507904x⁵ - 1496672x⁴ - 3429888x³ - 3524800x² - 2472192x + 1761664	$2$	$2$	$7$	$14$	$C_2\times F_8$ (as 14T9)	$7$	$1$	$[2]$	$[2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.14.9	$14$	x¹⁴ + 14x¹³ + 162x¹² + 1560x¹¹ + 9596x¹⁰ + 36936x⁹ + 91768x⁸ + 146816x⁷ + 150832x⁶ + 89120x⁵ + 59488x⁴ + 95872x³ + 61760x² + 257920x + 457344	$2$	$2$	$7$	$14$	$C_2 \wr C_7$ (as 14T29)	$7$	$1$	$[2]$	$[2, 2, 2, 2, 2, 2, 2]^{7}$	$[1, 0]$	$[1]$
2.14.16.1	$14$	x¹⁴ + 2x⁶ + 2x³ + 2	$2$	$14$	$1$	$16$	$C_2\times F_8:C_3$ (as 14T18)	$6$	$7$	$[10/7]$	$[10/7, 10/7, 10/7]_{7}^{6}$	$[3, 0]$	$[1, 3]$
2.14.16.2	$14$	x¹⁴ + 2x⁶ + 2x⁴ + 2x³ + 2	$2$	$14$	$1$	$16$	14T44	$6$	$7$	$[10/7]$	$[8/7, 8/7, 8/7, 10/7, 10/7, 10/7]_{7}^{6}$	$[3, 0]$	$[1, 3]$
2.14.16.3	$14$	x¹⁴ + 2x⁴ + 2x³ + 2	$2$	$14$	$1$	$16$	$C_2^3:F_8.C_3$ (as 14T35)	$3$	$7$	$[10/7]$	$[8/7, 8/7, 8/7, 10/7, 10/7, 10/7]_{7}^{3}$	$[3, 0]$	$[1, 3]$
2.14.16.4	$14$	x¹⁴ + 2x³ + 2	$2$	$14$	$1$	$16$	$F_8:C_3$ (as 14T11)	$3$	$7$	$[10/7]$	$[10/7, 10/7, 10/7]_{7}^{3}$	$[3, 0]$	$[1, 3]$
2.14.18.1	$14$	x¹⁴ + 2x¹⁰ + 2x⁵ + 2	$2$	$14$	$1$	$18$	$F_8:C_3$ (as 14T11)	$3$	$7$	$[12/7]$	$[12/7, 12/7, 12/7]_{7}^{3}$	$[5, 0]$	$[1, 3]$
2.14.18.2	$14$	x¹⁴ + 2x¹⁰ + 2x⁹ + 2x⁷ + 2x⁵ + 2	$2$	$14$	$1$	$18$	$F_8:C_3$ (as 14T11)	$3$	$7$	$[12/7]$	$[12/7, 12/7, 12/7]_{7}^{3}$	$[5, 0]$	$[1, 3]$
2.14.18.3	$14$	x¹⁴ + 2x¹⁰ + 2x⁹ + 2x⁵ + 2	$2$	$14$	$1$	$18$	$C_2^3:F_8.C_3$ (as 14T35)	$3$	$7$	$[12/7]$	$[8/7, 8/7, 8/7, 12/7, 12/7, 12/7]_{7}^{3}$	$[5, 0]$	$[1, 3]$
2.14.18.4	$14$	x¹⁴ + 2x¹⁰ + 2x⁹ + 2x⁷ + 2x⁶ + 2x⁵ + 2	$2$	$14$	$1$	$18$	14T44	$6$	$7$	$[12/7]$	$[8/7, 8/7, 8/7, 12/7, 12/7, 12/7]_{7}^{6}$	$[5, 0]$	$[1, 3]$

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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.