LMFDB - Global number field search results

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Results (displaying matches 1-50 of 266) Next

Label	Polynomial	Discriminant	Galois group	Class group
16.0.11007531417600000000.1	x¹⁶ - 7x¹² + 48x⁸ - 7x⁴ + 1	$ 2^{32}\cdot 3^{8}\cdot 5^{8} $	$C_2^4$ (as 16T3)	$[2]$
16.0.162447943996702457856.1	x¹⁶ - x¹² - 15x⁸ - 16x⁴ + 256	$ 2^{32}\cdot 3^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[4]$
16.0.968265199641600000000.1	x¹⁶ + 9x¹⁴ + 44x¹² + 261x¹⁰ + 1029x⁸ + 1044x⁶ + 704x⁴ + 576x² + 256	$ 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[2, 2]$ (GRH)
16.0.6040479020157644046336.1	x¹⁶ - 7x¹² - 32x⁸ - 567x⁴ + 6561	$ 2^{32}\cdot 3^{8}\cdot 11^{8} $	$C_2^4$ (as 16T3)	$[4]$ (GRH)
16.0.9671731157401600000000.1	x¹⁶ + 7x¹² + 753x⁸ + 112x⁴ + 256	$ 2^{32}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[4]$ (GRH)
16.0.22986704741655040229376.1	x¹⁶ - 31x¹² + 880x⁸ - 2511x⁴ + 6561	$ 2^{32}\cdot 3^{8}\cdot 13^{8} $	$C_2^4$ (as 16T3)	$[12]$ (GRH)
16.0.36004060626969600000000.1	x¹⁶ - 28x¹⁴ + 308x¹² - 1710x¹⁰ + 5156x⁸ - 7740x⁶ + 9473x⁴ + 368x² + 256	$ 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 11^{8} $	$C_2^4$ (as 16T3)	$[2, 4]$ (GRH)
16.0.137011437068313600000000.1	x¹⁶ - 4x¹⁴ + 56x¹² - 294x¹⁰ + 1544x⁸ - 12936x⁶ + 63833x⁴ - 109540x² + 59536	$ 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 13^{8} $	$C_2^4$ (as 16T3)	$[4, 4]$ (GRH)
16.0.196571825135013064605696.1	x¹⁶ - 49x¹² + 2145x⁸ - 12544x⁴ + 65536	$ 2^{32}\cdot 3^{8}\cdot 17^{8} $	$C_2^4$ (as 16T3)	$[4, 4]$ (GRH)
16.0.247875891108249600000000.1	x¹⁶ - 2x¹⁵ - 23x¹⁴ + 18x¹³ + 258x¹² - 130x¹¹ - 975x¹⁰ + 766x⁹ - 1053x⁸ + 1020x⁷ + 11476x⁶ - 11176x⁵ - 9104x⁴ + 6000x³ + 14880x² - 14400x + 3600	$ 2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[2, 4]$ (GRH)
16.0.247875891108249600000000.2	x¹⁶ - 4x¹⁵ - 10x¹⁴ + 24x¹³ + 261x¹² - 608x¹¹ - 466x¹⁰ + 64x⁹ + 6713x⁸ - 9704x⁷ + 6186x⁶ - 11232x⁵ + 15880x⁴ - 10608x³ + 6552x² - 4320x + 1296	$ 2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[2, 2]$ (GRH)
16.0.359634524805529600000000.1	x¹⁶ - 8x¹⁵ + 52x¹⁴ - 224x¹³ + 840x¹² - 2492x¹¹ + 6314x¹⁰ - 13112x⁹ + 22557x⁸ - 31532x⁷ + 34622x⁶ - 28952x⁵ + 19586x⁴ - 11256x³ + 12652x² - 9048x + 14436	$ 2^{32}\cdot 5^{8}\cdot 11^{8} $	$C_2^4$ (as 16T3)	$[12]$ (GRH)
16.0.478584585616890104119296.1	x¹⁶ - 31x¹² + 336x⁸ - 19375x⁴ + 390625	$ 2^{32}\cdot 3^{8}\cdot 19^{8} $	$C_2^4$ (as 16T3)	$[12]$ (GRH)
16.0.531343986448422341246976.1	x¹⁶ + 20x¹⁴ + 92x¹² - 222x¹⁰ - 868x⁸ + 5004x⁶ - 799x⁴ - 41752x² + 71824	$ 2^{16}\cdot 3^{8}\cdot 7^{8}\cdot 11^{8} $	$C_2^4$ (as 16T3)	$[2, 12]$ (GRH)
16.0.1171659381002265600000000.1	x¹⁶ + 28x¹⁴ + 392x¹² + 3498x¹⁰ + 21368x⁸ + 89784x⁶ + 270713x⁴ + 429916x² + 364816	$ 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 17^{8} $	$C_2^4$ (as 16T3)	$[2, 12]$ (GRH)
16.0.1368569050405273600000000.1	x¹⁶ + 28x¹⁴ - 12x¹³ + 344x¹² - 96x¹¹ + 2102x¹⁰ + 468x⁹ + 5861x⁸ + 7896x⁷ + 8258x⁶ + 25200x⁵ + 21946x⁴ + 32952x³ + 43108x² + 36264x + 29124	$ 2^{32}\cdot 5^{8}\cdot 13^{8} $	$C_2^4$ (as 16T3)	$[2, 24]$ (GRH)
16.0.2021999793722499352559616.1	x¹⁶ + 32x¹⁴ + 428x¹² + 2610x¹⁰ + 5324x⁸ - 4644x⁶ + 401x⁴ + 13100x² + 10000	$ 2^{16}\cdot 3^{8}\cdot 7^{8}\cdot 13^{8} $	$C_2^4$ (as 16T3)	$[2, 4]$ (GRH)
16.0.2206747214908975780724736.1	x¹⁶ - 49x¹² + 1105x⁸ - 63504x⁴ + 1679616	$ 2^{32}\cdot 3^{8}\cdot 23^{8} $	$C_2^4$ (as 16T3)	$[4, 12]$ (GRH)
16.0.2852586422067225600000000.1	x¹⁶ - 44x¹⁴ + 788x¹² - 7446x¹⁰ + 40268x⁸ - 124812x⁶ + 226937x⁴ - 166712x² + 59536	$ 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 19^{8} $	$C_2^4$ (as 16T3)	$[4, 8]$ (GRH)
16.0.3167056956579818375390625.1	x¹⁶ - 2x¹⁵ - 18x¹⁴ + 36x¹³ + 272x¹² - 458x¹¹ - 1374x¹⁰ - 736x⁹ + 11490x⁸ - 7916x⁷ + 4680x⁶ - 15094x⁵ + 1565x⁴ + 10890x³ - 2640x² + 968x + 1936	$ 3^{8}\cdot 5^{8}\cdot 7^{8}\cdot 11^{8} $	$C_2^4$ (as 16T3)	$[2, 12]$ (GRH)
16.0.5307446958677611119640576.1	x¹⁶ - 8x¹⁵ + 52x¹⁴ - 224x¹³ + 828x¹² - 2420x¹¹ + 6182x¹⁰ - 13112x⁹ + 24453x⁸ - 38324x⁷ + 50138x⁶ - 52520x⁵ + 67400x⁴ - 75132x³ + 37318x² - 4632x + 5769	$ 2^{32}\cdot 7^{8}\cdot 11^{8} $	$C_2^4$ (as 16T3)	$[4, 4]$ (GRH)
16.0.9217039520504217600000000.1	x¹⁶ - 4x¹⁵ - 14x¹⁴ + 32x¹³ + 383x¹² - 880x¹¹ - 1206x¹⁰ + 632x⁹ + 14222x⁸ - 22724x⁷ + 16428x⁶ - 26060x⁵ + 32489x⁴ - 17792x³ + 11176x² - 10148x + 3481	$ 2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 11^{8} $	$C_2^4$ (as 16T3)	$[4, 4]$ (GRH)
16.0.9217039520504217600000000.2	x¹⁶ - 8x¹⁵ + 64x¹⁴ - 308x¹³ + 1364x¹² - 4544x¹¹ + 12774x¹⁰ - 28604x⁹ + 50171x⁸ - 68176x⁷ + 60630x⁶ - 24820x⁵ - 5062x⁴ + 9920x³ + 2902x² - 6304x + 17191	$ 2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 11^{8} $	$C_2^4$ (as 16T3)	$[2, 12]$ (GRH)
16.0.11703378935126425600000000.1	x¹⁶ + 36x¹⁴ - 12x¹³ + 564x¹² - 120x¹¹ + 4590x¹⁰ + 900x⁹ + 19573x⁸ + 18072x⁷ + 48258x⁶ + 83100x⁵ + 110460x⁴ + 160680x³ + 209970x² + 175032x + 168121	$ 2^{32}\cdot 5^{8}\cdot 17^{8} $	$C_2^4$ (as 16T3)	$[4, 12]$ (GRH)
16.0.12052057944074269250390625.1	x¹⁶ - 28x¹⁴ + 392x¹² - 1818x¹⁰ - 2632x⁸ + 31416x⁶ - 9127x⁴ - 105196x² + 132496	$ 3^{8}\cdot 5^{8}\cdot 7^{8}\cdot 13^{8} $	$C_2^4$ (as 16T3)	$[2, 20]$ (GRH)
16.0.13153238385373209600000000.1	x¹⁶ - 52x¹⁴ + 1112x¹² - 12702x¹⁰ + 84248x⁸ - 327816x⁶ + 743633x⁴ - 790564x² + 364816	$ 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 23^{8} $	$C_2^4$ (as 16T3)	$[2, 12]$ (GRH)
16.0.14096583954457373039394816.1	x¹⁶ - 127x¹² + 13728x⁸ - 304927x⁴ + 5764801	$ 2^{32}\cdot 3^{8}\cdot 29^{8} $	$C_2^4$ (as 16T3)	$[3, 3, 6]$ (GRH)
16.0.17291220918428778836852736.1	x¹⁶ + 40x¹⁴ + 668x¹² + 5394x¹⁰ + 19172x⁸ + 20988x⁶ + 32129x⁴ + 79084x² + 71824	$ 2^{16}\cdot 3^{8}\cdot 7^{8}\cdot 17^{8} $	$C_2^4$ (as 16T3)	$[2, 20]$ (GRH)
16.0.20197192269684151435657216.1	x¹⁶ + 28x¹⁴ - 12x¹³ + 332x¹² - 96x¹¹ + 2186x¹⁰ + 504x⁹ + 7133x⁸ + 11064x⁷ + 13478x⁶ + 25992x⁵ + 65776x⁴ + 21360x³ + 40090x² + 65676x + 22689	$ 2^{32}\cdot 7^{8}\cdot 13^{8} $	$C_2^4$ (as 16T3)	$[3, 12]$ (GRH)
16.0.24033855719478439440285696.1	x¹⁶ - 97x¹² + 5313x⁸ - 397312x⁴ + 16777216	$ 2^{32}\cdot 3^{8}\cdot 31^{8} $	$C_2^4$ (as 16T3)	$[3, 24]$ (GRH)
16.0.28493690558847385600000000.1	x¹⁶ - 8x¹⁵ + 68x¹⁴ - 336x¹³ + 1624x¹² - 5740x¹¹ + 19026x¹⁰ - 49568x⁹ + 118149x⁸ - 226316x⁷ + 393078x⁶ - 544768x⁵ + 716170x⁴ - 714504x³ + 801260x² - 508136x + 556804	$ 2^{32}\cdot 5^{8}\cdot 19^{8} $	$C_2^4$ (as 16T3)	$[24]$ (GRH)
16.0.31634849063620633600000000.1	x¹⁶ - 40x¹⁴ + 588x¹² - 3926x¹⁰ + 12244x⁸ - 11204x⁶ + 21321x⁴ - 5764x² + 1936	$ 2^{16}\cdot 5^{8}\cdot 7^{8}\cdot 11^{8} $	$C_2^4$ (as 16T3)	$[4, 4]$ (GRH)
16.0.35074927889488281600000000.1	x¹⁶ - 4x¹⁵ + 34x¹⁴ - 64x¹³ + 539x¹² - 1000x¹¹ + 4842x¹⁰ - 4648x⁹ + 19562x⁸ - 22604x⁷ + 45816x⁶ - 21740x⁵ + 19433x⁴ + 3616x³ + 4684x² - 68x + 1	$ 2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 13^{8} $	$C_2^4$ (as 16T3)	$[4, 8, 8]$ (GRH)
16.0.35074927889488281600000000.2	x¹⁶ - 44x¹⁴ + 722x¹² - 5280x¹⁰ + 21761x⁸ - 48180x⁶ + 53372x⁴ - 8624x² + 38416	$ 2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 13^{8} $	$C_2^4$ (as 16T3)	$[2, 12]$ (GRH)
16.0.42098158229810084367630336.1	x¹⁶ - 32x¹⁴ + 524x¹² - 4686x¹⁰ + 26732x⁸ - 98244x⁶ + 292049x⁴ - 672308x² + 1449616	$ 2^{16}\cdot 3^{8}\cdot 7^{8}\cdot 19^{8} $	$C_2^4$ (as 16T3)	$[4, 8]$ (GRH)
16.0.63456228123711897600000000.1	x¹⁶ + 10x¹⁴ + 53x¹² + 810x¹⁰ + 3788x⁸ - 10410x⁶ + 23213x⁴ - 20570x² + 14641	$ 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[2, 2, 2, 4]$ (GRH)
16.16.63456228123711897600000000.1	x¹⁶ - 44x¹⁴ - 36x¹³ + 644x¹² + 816x¹¹ - 3894x¹⁰ - 5844x⁹ + 10061x⁸ + 15576x⁷ - 13122x⁶ - 17952x⁵ + 9374x⁴ + 8568x³ - 3164x² - 1176x + 196	$ 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	Trivial (GRH)
16.0.63456228123711897600000000.2	x¹⁶ + 12x¹⁴ + 102x¹² - 68x¹⁰ + 2163x⁸ - 7284x⁶ + 29938x⁴ - 48336x² + 62001	$ 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[2, 2, 2, 8]$ (GRH)
16.0.63456228123711897600000000.3	x¹⁶ + 161x¹² + 576x⁸ + 161x⁴ + 1	$ 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[2, 2, 2, 16]$ (GRH)
16.0.63456228123711897600000000.4	x¹⁶ + 17x¹² + 208x⁸ + 1377x⁴ + 6561	$ 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[2, 2, 2, 8]$ (GRH)
16.0.63456228123711897600000000.5	x¹⁶ + 17x¹² + 2176x⁸ + 3825x⁴ + 50625	$ 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[2, 2, 2, 8]$ (GRH)
16.0.63456228123711897600000000.6	x¹⁶ + 44x¹⁴ - 12x¹³ + 840x¹² - 144x¹¹ + 8542x¹⁰ + 1452x⁹ + 48381x⁸ + 34392x⁷ + 164762x⁶ + 204360x⁵ + 422866x⁴ + 517656x³ + 817764x² + 628056x + 736164	$ 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[2, 2, 2, 8]$ (GRH)
16.0.63456228123711897600000000.7	x¹⁶ + 6x¹⁴ - 20x¹³ + 119x¹² + 280x¹¹ + 104x¹⁰ - 140x⁹ - 6396x⁸ - 480x⁷ - 11434x⁶ - 62260x⁵ + 465079x⁴ - 481080x³ - 40716x² - 171900x + 365481	$ 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[2, 2, 2, 4]$ (GRH)
16.0.63456228123711897600000000.8	x¹⁶ - 12x¹⁴ + 102x¹² - 212x¹⁰ - 3297x⁸ + 10644x⁶ + 51358x⁴ + 15576x² + 1521	$ 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[2, 2, 2, 8]$ (GRH)
16.0.63456228123711897600000000.9	x¹⁶ - 12x¹⁴ + 134x¹² + 24x¹⁰ - 1101x⁸ - 1272x⁶ + 11246x⁴ - 16020x² + 7225	$ 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[2, 2, 2, 8]$ (GRH)
16.0.63456228123711897600000000.10	x¹⁶ - 127x¹² + 9568x⁸ - 833247x⁴ + 43046721	$ 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[2, 2, 2, 8]$ (GRH)
16.0.63456228123711897600000000.11	x¹⁶ - 20x¹⁴ + 182x¹² - 468x¹⁰ + 1859x⁸ + 2652x⁶ + 17954x⁴ + 19168x² + 28561	$ 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[2, 2, 4, 8]$ (GRH)
16.0.63456228123711897600000000.12	x¹⁶ - 28x¹⁴ - 12x¹³ + 360x¹² + 72x¹¹ - 2630x¹⁰ + 840x⁹ + 13881x⁸ - 16152x⁷ - 37930x⁶ + 48084x⁵ + 76402x⁴ - 60288x³ + 51360x² + 169920x + 67104	$ 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[2, 2, 4, 8]$ (GRH)
16.0.63456228123711897600000000.13	x¹⁶ - 4x¹⁴ + 78x¹² - 76x¹⁰ - 8837x⁸ + 7668x⁶ + 183402x⁴ + 648x² + 81	$ 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[2, 2, 2, 4]$ (GRH)
16.0.63456228123711897600000000.14	x¹⁶ - 4x¹⁵ + 30x¹⁴ - 56x¹³ + 383x¹² - 660x¹¹ + 2958x¹⁰ - 2628x⁹ + 10176x⁸ - 7192x⁷ + 25000x⁶ - 8448x⁵ + 18363x⁴ - 11064x³ + 9876x² - 3100x + 961	$ 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2^4$ (as 16T3)	$[2, 2, 4, 8]$ (GRH)

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Results (displaying matches 1-50 of 266) Next

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

Label	Polynomial	Discriminant	Galois group	Class group
16.0.11007531417600000000.1	x¹⁶ - 7x¹² + 48x⁸ - 7x⁴ + 1	\( 2^{32}\cdot 3^{8}\cdot 5^{8} \)	$C_2^4$ (as 16T3)	$[2]$
16.0.162447943996702457856.1	x¹⁶ - x¹² - 15x⁸ - 16x⁴ + 256	\( 2^{32}\cdot 3^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[4]$
16.0.968265199641600000000.1	x¹⁶ + 9x¹⁴ + 44x¹² + 261x¹⁰ + 1029x⁸ + 1044x⁶ + 704x⁴ + 576x² + 256	\( 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[2, 2]$ (GRH)
16.0.6040479020157644046336.1	x¹⁶ - 7x¹² - 32x⁸ - 567x⁴ + 6561	\( 2^{32}\cdot 3^{8}\cdot 11^{8} \)	$C_2^4$ (as 16T3)	$[4]$ (GRH)
16.0.9671731157401600000000.1	x¹⁶ + 7x¹² + 753x⁸ + 112x⁴ + 256	\( 2^{32}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[4]$ (GRH)
16.0.22986704741655040229376.1	x¹⁶ - 31x¹² + 880x⁸ - 2511x⁴ + 6561	\( 2^{32}\cdot 3^{8}\cdot 13^{8} \)	$C_2^4$ (as 16T3)	$[12]$ (GRH)
16.0.36004060626969600000000.1	x¹⁶ - 28x¹⁴ + 308x¹² - 1710x¹⁰ + 5156x⁸ - 7740x⁶ + 9473x⁴ + 368x² + 256	\( 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 11^{8} \)	$C_2^4$ (as 16T3)	$[2, 4]$ (GRH)
16.0.137011437068313600000000.1	x¹⁶ - 4x¹⁴ + 56x¹² - 294x¹⁰ + 1544x⁸ - 12936x⁶ + 63833x⁴ - 109540x² + 59536	\( 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 13^{8} \)	$C_2^4$ (as 16T3)	$[4, 4]$ (GRH)
16.0.196571825135013064605696.1	x¹⁶ - 49x¹² + 2145x⁸ - 12544x⁴ + 65536	\( 2^{32}\cdot 3^{8}\cdot 17^{8} \)	$C_2^4$ (as 16T3)	$[4, 4]$ (GRH)
16.0.247875891108249600000000.1	x¹⁶ - 2x¹⁵ - 23x¹⁴ + 18x¹³ + 258x¹² - 130x¹¹ - 975x¹⁰ + 766x⁹ - 1053x⁸ + 1020x⁷ + 11476x⁶ - 11176x⁵ - 9104x⁴ + 6000x³ + 14880x² - 14400x + 3600	\( 2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[2, 4]$ (GRH)
16.0.247875891108249600000000.2	x¹⁶ - 4x¹⁵ - 10x¹⁴ + 24x¹³ + 261x¹² - 608x¹¹ - 466x¹⁰ + 64x⁹ + 6713x⁸ - 9704x⁷ + 6186x⁶ - 11232x⁵ + 15880x⁴ - 10608x³ + 6552x² - 4320x + 1296	\( 2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[2, 2]$ (GRH)
16.0.359634524805529600000000.1	x¹⁶ - 8x¹⁵ + 52x¹⁴ - 224x¹³ + 840x¹² - 2492x¹¹ + 6314x¹⁰ - 13112x⁹ + 22557x⁸ - 31532x⁷ + 34622x⁶ - 28952x⁵ + 19586x⁴ - 11256x³ + 12652x² - 9048x + 14436	\( 2^{32}\cdot 5^{8}\cdot 11^{8} \)	$C_2^4$ (as 16T3)	$[12]$ (GRH)
16.0.478584585616890104119296.1	x¹⁶ - 31x¹² + 336x⁸ - 19375x⁴ + 390625	\( 2^{32}\cdot 3^{8}\cdot 19^{8} \)	$C_2^4$ (as 16T3)	$[12]$ (GRH)
16.0.531343986448422341246976.1	x¹⁶ + 20x¹⁴ + 92x¹² - 222x¹⁰ - 868x⁸ + 5004x⁶ - 799x⁴ - 41752x² + 71824	\( 2^{16}\cdot 3^{8}\cdot 7^{8}\cdot 11^{8} \)	$C_2^4$ (as 16T3)	$[2, 12]$ (GRH)
16.0.1171659381002265600000000.1	x¹⁶ + 28x¹⁴ + 392x¹² + 3498x¹⁰ + 21368x⁸ + 89784x⁶ + 270713x⁴ + 429916x² + 364816	\( 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 17^{8} \)	$C_2^4$ (as 16T3)	$[2, 12]$ (GRH)
16.0.1368569050405273600000000.1	x¹⁶ + 28x¹⁴ - 12x¹³ + 344x¹² - 96x¹¹ + 2102x¹⁰ + 468x⁹ + 5861x⁸ + 7896x⁷ + 8258x⁶ + 25200x⁵ + 21946x⁴ + 32952x³ + 43108x² + 36264x + 29124	\( 2^{32}\cdot 5^{8}\cdot 13^{8} \)	$C_2^4$ (as 16T3)	$[2, 24]$ (GRH)
16.0.2021999793722499352559616.1	x¹⁶ + 32x¹⁴ + 428x¹² + 2610x¹⁰ + 5324x⁸ - 4644x⁶ + 401x⁴ + 13100x² + 10000	\( 2^{16}\cdot 3^{8}\cdot 7^{8}\cdot 13^{8} \)	$C_2^4$ (as 16T3)	$[2, 4]$ (GRH)
16.0.2206747214908975780724736.1	x¹⁶ - 49x¹² + 1105x⁸ - 63504x⁴ + 1679616	\( 2^{32}\cdot 3^{8}\cdot 23^{8} \)	$C_2^4$ (as 16T3)	$[4, 12]$ (GRH)
16.0.2852586422067225600000000.1	x¹⁶ - 44x¹⁴ + 788x¹² - 7446x¹⁰ + 40268x⁸ - 124812x⁶ + 226937x⁴ - 166712x² + 59536	\( 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 19^{8} \)	$C_2^4$ (as 16T3)	$[4, 8]$ (GRH)
16.0.3167056956579818375390625.1	x¹⁶ - 2x¹⁵ - 18x¹⁴ + 36x¹³ + 272x¹² - 458x¹¹ - 1374x¹⁰ - 736x⁹ + 11490x⁸ - 7916x⁷ + 4680x⁶ - 15094x⁵ + 1565x⁴ + 10890x³ - 2640x² + 968x + 1936	\( 3^{8}\cdot 5^{8}\cdot 7^{8}\cdot 11^{8} \)	$C_2^4$ (as 16T3)	$[2, 12]$ (GRH)
16.0.5307446958677611119640576.1	x¹⁶ - 8x¹⁵ + 52x¹⁴ - 224x¹³ + 828x¹² - 2420x¹¹ + 6182x¹⁰ - 13112x⁹ + 24453x⁸ - 38324x⁷ + 50138x⁶ - 52520x⁵ + 67400x⁴ - 75132x³ + 37318x² - 4632x + 5769	\( 2^{32}\cdot 7^{8}\cdot 11^{8} \)	$C_2^4$ (as 16T3)	$[4, 4]$ (GRH)
16.0.9217039520504217600000000.1	x¹⁶ - 4x¹⁵ - 14x¹⁴ + 32x¹³ + 383x¹² - 880x¹¹ - 1206x¹⁰ + 632x⁹ + 14222x⁸ - 22724x⁷ + 16428x⁶ - 26060x⁵ + 32489x⁴ - 17792x³ + 11176x² - 10148x + 3481	\( 2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 11^{8} \)	$C_2^4$ (as 16T3)	$[4, 4]$ (GRH)
16.0.9217039520504217600000000.2	x¹⁶ - 8x¹⁵ + 64x¹⁴ - 308x¹³ + 1364x¹² - 4544x¹¹ + 12774x¹⁰ - 28604x⁹ + 50171x⁸ - 68176x⁷ + 60630x⁶ - 24820x⁵ - 5062x⁴ + 9920x³ + 2902x² - 6304x + 17191	\( 2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 11^{8} \)	$C_2^4$ (as 16T3)	$[2, 12]$ (GRH)
16.0.11703378935126425600000000.1	x¹⁶ + 36x¹⁴ - 12x¹³ + 564x¹² - 120x¹¹ + 4590x¹⁰ + 900x⁹ + 19573x⁸ + 18072x⁷ + 48258x⁶ + 83100x⁵ + 110460x⁴ + 160680x³ + 209970x² + 175032x + 168121	\( 2^{32}\cdot 5^{8}\cdot 17^{8} \)	$C_2^4$ (as 16T3)	$[4, 12]$ (GRH)
16.0.12052057944074269250390625.1	x¹⁶ - 28x¹⁴ + 392x¹² - 1818x¹⁰ - 2632x⁸ + 31416x⁶ - 9127x⁴ - 105196x² + 132496	\( 3^{8}\cdot 5^{8}\cdot 7^{8}\cdot 13^{8} \)	$C_2^4$ (as 16T3)	$[2, 20]$ (GRH)
16.0.13153238385373209600000000.1	x¹⁶ - 52x¹⁴ + 1112x¹² - 12702x¹⁰ + 84248x⁸ - 327816x⁶ + 743633x⁴ - 790564x² + 364816	\( 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 23^{8} \)	$C_2^4$ (as 16T3)	$[2, 12]$ (GRH)
16.0.14096583954457373039394816.1	x¹⁶ - 127x¹² + 13728x⁸ - 304927x⁴ + 5764801	\( 2^{32}\cdot 3^{8}\cdot 29^{8} \)	$C_2^4$ (as 16T3)	$[3, 3, 6]$ (GRH)
16.0.17291220918428778836852736.1	x¹⁶ + 40x¹⁴ + 668x¹² + 5394x¹⁰ + 19172x⁸ + 20988x⁶ + 32129x⁴ + 79084x² + 71824	\( 2^{16}\cdot 3^{8}\cdot 7^{8}\cdot 17^{8} \)	$C_2^4$ (as 16T3)	$[2, 20]$ (GRH)
16.0.20197192269684151435657216.1	x¹⁶ + 28x¹⁴ - 12x¹³ + 332x¹² - 96x¹¹ + 2186x¹⁰ + 504x⁹ + 7133x⁸ + 11064x⁷ + 13478x⁶ + 25992x⁵ + 65776x⁴ + 21360x³ + 40090x² + 65676x + 22689	\( 2^{32}\cdot 7^{8}\cdot 13^{8} \)	$C_2^4$ (as 16T3)	$[3, 12]$ (GRH)
16.0.24033855719478439440285696.1	x¹⁶ - 97x¹² + 5313x⁸ - 397312x⁴ + 16777216	\( 2^{32}\cdot 3^{8}\cdot 31^{8} \)	$C_2^4$ (as 16T3)	$[3, 24]$ (GRH)
16.0.28493690558847385600000000.1	x¹⁶ - 8x¹⁵ + 68x¹⁴ - 336x¹³ + 1624x¹² - 5740x¹¹ + 19026x¹⁰ - 49568x⁹ + 118149x⁸ - 226316x⁷ + 393078x⁶ - 544768x⁵ + 716170x⁴ - 714504x³ + 801260x² - 508136x + 556804	\( 2^{32}\cdot 5^{8}\cdot 19^{8} \)	$C_2^4$ (as 16T3)	$[24]$ (GRH)
16.0.31634849063620633600000000.1	x¹⁶ - 40x¹⁴ + 588x¹² - 3926x¹⁰ + 12244x⁸ - 11204x⁶ + 21321x⁴ - 5764x² + 1936	\( 2^{16}\cdot 5^{8}\cdot 7^{8}\cdot 11^{8} \)	$C_2^4$ (as 16T3)	$[4, 4]$ (GRH)
16.0.35074927889488281600000000.1	x¹⁶ - 4x¹⁵ + 34x¹⁴ - 64x¹³ + 539x¹² - 1000x¹¹ + 4842x¹⁰ - 4648x⁹ + 19562x⁸ - 22604x⁷ + 45816x⁶ - 21740x⁵ + 19433x⁴ + 3616x³ + 4684x² - 68x + 1	\( 2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 13^{8} \)	$C_2^4$ (as 16T3)	$[4, 8, 8]$ (GRH)
16.0.35074927889488281600000000.2	x¹⁶ - 44x¹⁴ + 722x¹² - 5280x¹⁰ + 21761x⁸ - 48180x⁶ + 53372x⁴ - 8624x² + 38416	\( 2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 13^{8} \)	$C_2^4$ (as 16T3)	$[2, 12]$ (GRH)
16.0.42098158229810084367630336.1	x¹⁶ - 32x¹⁴ + 524x¹² - 4686x¹⁰ + 26732x⁸ - 98244x⁶ + 292049x⁴ - 672308x² + 1449616	\( 2^{16}\cdot 3^{8}\cdot 7^{8}\cdot 19^{8} \)	$C_2^4$ (as 16T3)	$[4, 8]$ (GRH)
16.0.63456228123711897600000000.1	x¹⁶ + 10x¹⁴ + 53x¹² + 810x¹⁰ + 3788x⁸ - 10410x⁶ + 23213x⁴ - 20570x² + 14641	\( 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[2, 2, 2, 4]$ (GRH)
16.16.63456228123711897600000000.1	x¹⁶ - 44x¹⁴ - 36x¹³ + 644x¹² + 816x¹¹ - 3894x¹⁰ - 5844x⁹ + 10061x⁸ + 15576x⁷ - 13122x⁶ - 17952x⁵ + 9374x⁴ + 8568x³ - 3164x² - 1176x + 196	\( 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	Trivial (GRH)
16.0.63456228123711897600000000.2	x¹⁶ + 12x¹⁴ + 102x¹² - 68x¹⁰ + 2163x⁸ - 7284x⁶ + 29938x⁴ - 48336x² + 62001	\( 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[2, 2, 2, 8]$ (GRH)
16.0.63456228123711897600000000.3	x¹⁶ + 161x¹² + 576x⁸ + 161x⁴ + 1	\( 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[2, 2, 2, 16]$ (GRH)
16.0.63456228123711897600000000.4	x¹⁶ + 17x¹² + 208x⁸ + 1377x⁴ + 6561	\( 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[2, 2, 2, 8]$ (GRH)
16.0.63456228123711897600000000.5	x¹⁶ + 17x¹² + 2176x⁸ + 3825x⁴ + 50625	\( 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[2, 2, 2, 8]$ (GRH)
16.0.63456228123711897600000000.6	x¹⁶ + 44x¹⁴ - 12x¹³ + 840x¹² - 144x¹¹ + 8542x¹⁰ + 1452x⁹ + 48381x⁸ + 34392x⁷ + 164762x⁶ + 204360x⁵ + 422866x⁴ + 517656x³ + 817764x² + 628056x + 736164	\( 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[2, 2, 2, 8]$ (GRH)
16.0.63456228123711897600000000.7	x¹⁶ + 6x¹⁴ - 20x¹³ + 119x¹² + 280x¹¹ + 104x¹⁰ - 140x⁹ - 6396x⁸ - 480x⁷ - 11434x⁶ - 62260x⁵ + 465079x⁴ - 481080x³ - 40716x² - 171900x + 365481	\( 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[2, 2, 2, 4]$ (GRH)
16.0.63456228123711897600000000.8	x¹⁶ - 12x¹⁴ + 102x¹² - 212x¹⁰ - 3297x⁸ + 10644x⁶ + 51358x⁴ + 15576x² + 1521	\( 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[2, 2, 2, 8]$ (GRH)
16.0.63456228123711897600000000.9	x¹⁶ - 12x¹⁴ + 134x¹² + 24x¹⁰ - 1101x⁸ - 1272x⁶ + 11246x⁴ - 16020x² + 7225	\( 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[2, 2, 2, 8]$ (GRH)
16.0.63456228123711897600000000.10	x¹⁶ - 127x¹² + 9568x⁸ - 833247x⁴ + 43046721	\( 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[2, 2, 2, 8]$ (GRH)
16.0.63456228123711897600000000.11	x¹⁶ - 20x¹⁴ + 182x¹² - 468x¹⁰ + 1859x⁸ + 2652x⁶ + 17954x⁴ + 19168x² + 28561	\( 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[2, 2, 4, 8]$ (GRH)
16.0.63456228123711897600000000.12	x¹⁶ - 28x¹⁴ - 12x¹³ + 360x¹² + 72x¹¹ - 2630x¹⁰ + 840x⁹ + 13881x⁸ - 16152x⁷ - 37930x⁶ + 48084x⁵ + 76402x⁴ - 60288x³ + 51360x² + 169920x + 67104	\( 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[2, 2, 4, 8]$ (GRH)
16.0.63456228123711897600000000.13	x¹⁶ - 4x¹⁴ + 78x¹² - 76x¹⁰ - 8837x⁸ + 7668x⁶ + 183402x⁴ + 648x² + 81	\( 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[2, 2, 2, 4]$ (GRH)
16.0.63456228123711897600000000.14	x¹⁶ - 4x¹⁵ + 30x¹⁴ - 56x¹³ + 383x¹² - 660x¹¹ + 2958x¹⁰ - 2628x⁹ + 10176x⁸ - 7192x⁷ + 25000x⁶ - 8448x⁵ + 18363x⁴ - 11064x³ + 9876x² - 3100x + 961	\( 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2^4$ (as 16T3)	$[2, 2, 4, 8]$ (GRH)