LMFDB - Global number field search results

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Results (displaying all 28 matches)

Label	Polynomial	Discriminant	Galois group	Class group
16.0.84934656000000000000.5	x¹⁶ + 12x¹⁴ + 70x¹² + 252x¹⁰ + 584x⁸ + 858x⁶ + 765x⁴ + 378x² + 81	$ 2^{32}\cdot 3^{4}\cdot 5^{12} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial (GRH)
16.0.84934656000000000000.6	x¹⁶ - 12x¹⁴ + 70x¹² - 252x¹⁰ + 584x⁸ - 858x⁶ + 765x⁴ - 378x² + 81	$ 2^{32}\cdot 3^{4}\cdot 5^{12} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial (GRH)
16.4.726450732562500000000.1	x¹⁶ - 4x¹⁵ + 3x¹⁴ + 17x¹³ - 40x¹² - 11x¹¹ + 123x¹⁰ - 64x⁹ - 205x⁸ + 203x⁷ + 213x⁶ - 246x⁵ - 154x⁴ + 135x³ + 95x² - 5	$ 2^{8}\cdot 3^{8}\cdot 5^{12}\cdot 11^{6} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial
16.4.726450732562500000000.2	x¹⁶ - 2x¹⁵ + 2x¹⁴ + 16x¹³ - 53x¹² + 43x¹¹ + 86x¹⁰ - 206x⁹ + 123x⁸ + 62x⁷ - 74x⁶ - 98x⁵ + 231x⁴ - 220x³ + 110x² - 15x - 5	$ 2^{8}\cdot 3^{8}\cdot 5^{12}\cdot 11^{6} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial
16.4.21743271936000000000000.4	x¹⁶ - 2x¹⁴ - 12x¹⁰ - x⁸ - 48x⁶ + 162x² + 81	$ 2^{40}\cdot 3^{4}\cdot 5^{12} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial (GRH)
16.4.21743271936000000000000.5	x¹⁶ + 2x¹⁴ + 12x¹⁰ - x⁸ + 48x⁶ - 162x² + 81	$ 2^{40}\cdot 3^{4}\cdot 5^{12} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial (GRH)
16.0.22850732699536000000000000.3	x¹⁶ - 2x¹⁵ - 12x¹⁴ + 40x¹³ + 55x¹² - 518x¹¹ + 974x¹⁰ + 420x⁹ - 4046x⁸ + 2060x⁷ + 16641x⁶ - 44736x⁵ + 55945x⁴ - 40390x³ + 17302x² - 4254x + 521	$ 2^{16}\cdot 5^{12}\cdot 7^{4}\cdot 29^{6} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[4]$ (GRH)
16.0.22850732699536000000000000.4	x¹⁶ - 6x¹⁵ + 22x¹⁴ - 60x¹³ + 30x¹² + 446x¹¹ - 1369x¹⁰ + 530x⁹ + 4909x⁸ - 10030x⁷ + 1639x⁶ + 20588x⁵ - 31805x⁴ + 7550x³ + 38363x² - 53248x + 22961	$ 2^{16}\cdot 5^{12}\cdot 7^{4}\cdot 29^{6} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[4]$ (GRH)
16.0.30400667142400000000000000.1	x¹⁶ - 30x¹⁴ + 440x¹² - 4055x¹⁰ + 25535x⁸ - 112750x⁶ + 344400x⁴ - 672400x² + 672400	$ 2^{20}\cdot 5^{14}\cdot 41^{6} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2]$ (GRH)
16.8.214314879732757562500000000.1	x¹⁶ - 2x¹⁴ - 39x¹³ + 7x¹² + 81x¹¹ + 431x¹⁰ - 222x⁹ - 235x⁸ - 2112x⁷ - 892x⁶ + 3633x⁵ + 3712x⁴ - 1134x³ - 4417x² + 588x + 931	$ 2^{8}\cdot 5^{12}\cdot 7^{8}\cdot 29^{6} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2]$ (GRH)
16.8.214314879732757562500000000.2	x¹⁶ - 9x¹⁴ - 23x¹³ - 43x¹² + 234x¹¹ + 497x¹⁰ - 95x⁹ - 2568x⁸ - 6587x⁷ + 4443x⁶ + 14737x⁵ - 6699x⁴ - 2524x³ + 8173x² - 6897x + 1331	$ 2^{8}\cdot 5^{12}\cdot 7^{8}\cdot 29^{6} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2]$ (GRH)
16.0.475549784866816000000000000.5	x¹⁶ - 4x¹⁴ + 48x¹² - 320x¹⁰ + 636x⁸ + 3520x⁶ + 4432x⁴ + 352x² + 1936	$ 2^{40}\cdot 5^{12}\cdot 11^{6} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2]$ (GRH)
16.0.475549784866816000000000000.6	x¹⁶ - 12x¹⁴ + 92x¹² - 440x¹⁰ + 1336x⁸ + 560x⁶ + 6448x⁴ + 5984x² + 1936	$ 2^{40}\cdot 5^{12}\cdot 11^{6} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2]$ (GRH)
16.0.743046538854400000000000000.1	x¹⁶ - 10x¹⁴ + 30x¹² + 80x¹⁰ - 640x⁸ - 200x⁶ + 11600x⁴ - 39600x² + 48400	$ 2^{36}\cdot 5^{14}\cdot 11^{6} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[4]$ (GRH)
16.8.7608796557869056000000000000.1	x¹⁶ - 12x¹⁴ - 50x¹² + 468x¹⁰ + 1319x⁸ - 708x⁶ - 3050x⁴ - 1408x² + 121	$ 2^{44}\cdot 5^{12}\cdot 11^{6} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial (GRH)
16.8.7608796557869056000000000000.2	x¹⁶ - 4x¹⁴ - 110x¹² + 284x¹⁰ + 1999x⁸ + 364x⁶ - 1270x⁴ - 264x² + 121	$ 2^{44}\cdot 5^{12}\cdot 11^{6} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial (GRH)
16.0.7782570788454400000000000000.1	x¹⁶ - 6x¹⁵ + 28x¹⁴ - 52x¹³ + x¹² + 294x¹¹ - 720x¹⁰ - 836x⁹ + 5059x⁸ - 2922x⁷ - 10480x⁶ + 12112x⁵ + 12186x⁴ - 25724x³ + 15572x² - 4368x + 556	$ 2^{28}\cdot 5^{14}\cdot 41^{6} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2, 4]$ (GRH)
16.0.11888744621670400000000000000.1	x¹⁶ + 80x¹² + 1870x⁸ + 12800x⁴ + 3025	$ 2^{40}\cdot 5^{14}\cdot 11^{6} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[8]$ (GRH)
16.0.11888744621670400000000000000.2	x¹⁶ + 320x¹² + 29920x⁸ + 819200x⁴ + 774400	$ 2^{40}\cdot 5^{14}\cdot 11^{6} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[8]$ (GRH)
16.0.11888744621670400000000000000.3	x¹⁶ + 20x¹² + 60x⁸ + 1600x⁴ + 48400	$ 2^{40}\cdot 5^{14}\cdot 11^{6} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 4]$ (GRH)
16.8.190219913946726400000000000000.1	x¹⁶ - 80x¹² + 1870x⁸ - 12800x⁴ + 3025	$ 2^{44}\cdot 5^{14}\cdot 11^{6} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial (GRH)
16.8.190219913946726400000000000000.2	x¹⁶ - 20x¹⁴ - 310x¹² + 4280x¹⁰ + 35695x⁸ + 35600x⁶ - 20050x⁴ - 7700x² + 3025	$ 2^{44}\cdot 5^{14}\cdot 11^{6} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial (GRH)
16.0.251031461538713539216000000000000.1	x¹⁶ - 353x¹⁴ + 58663x¹² - 5556741x¹⁰ + 326243180x⁸ - 12205119771x⁶ + 284960720083x⁴ - 3798046039983x² + 22182790639321	$ 2^{16}\cdot 5^{12}\cdot 13^{4}\cdot 29^{6}\cdot 31^{4} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2]$ (GRH)
16.0.251031461538713539216000000000000.2	x¹⁶ - 388x¹⁴ + 63603x¹² - 5751166x¹⁰ + 320691855x⁸ - 11485492746x⁶ + 261694006743x⁴ - 3522825312448x² + 22182790639321	$ 2^{16}\cdot 5^{12}\cdot 13^{4}\cdot 29^{6}\cdot 31^{4} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2]$ (GRH)
16.8.135369534360064007243398352896000000000000.1	x¹⁶ - 4x¹⁵ + 12x¹⁴ + 1018x¹³ - 319433x¹² + 1135436x¹¹ - 25846438x¹⁰ - 158581856x⁹ + 17617749905x⁸ - 11772785364x⁷ + 624071995234x⁶ + 21890648688x⁵ - 137019728017313x⁴ + 161198981765422x³ - 3913108136820788x² + 23399467424640620x + 168216722677285441	$ 2^{24}\cdot 5^{12}\cdot 13^{4}\cdot 29^{6}\cdot 1181^{4} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2, 2]$ (GRH)
16.0.1861644105089180838863336343231454234279936.1	x¹⁶ + 3192x¹⁴ - 3680x¹³ + 3820332x¹² - 8222112x¹¹ + 2278069768x¹⁰ - 6381521824x⁹ + 749980009966x⁸ - 2278581253952x⁷ + 140107567212424x⁶ - 406917584361472x⁵ + 14342083431686636x⁴ - 34925731551753120x³ + 706802171767051960x² - 1124404063609193536x + 11373046199801545201	$ 2^{62}\cdot 7^{6}\cdot 193^{4}\cdot 223^{4} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2, 2, 2, 2, 2, 2, 2, 75774660]$ (GRH)
16.16.1861644105089180838863336343231454234279936.1	x¹⁶ - 3208x¹⁴ - 2160x¹³ + 3852332x¹² + 3042144x¹¹ - 2294565432x¹⁰ - 1556101712x⁹ + 748277249166x⁸ + 359826968384x⁷ - 137166478126136x⁶ - 33098698794736x⁵ + 13659966875592876x⁴ - 448750962282272x³ - 650460101056359304x² + 186964374704677232x + 10037906408750643793	$ 2^{62}\cdot 7^{6}\cdot 193^{4}\cdot 223^{4} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2]$ (GRH)
16.0.29786305681426893421813381491703267748478976.1	x¹⁶ + 3464x¹⁴ - 3216x¹³ + 4898708x¹² - 7958096x¹¹ + 3643957168x¹⁰ - 7631842416x⁹ + 1528170097824x⁸ - 3619337419376x⁷ + 358605823359368x⁶ - 892387439161696x⁵ + 43925474650991112x⁴ - 109475242669266480x³ + 2467664760780016224x² - 5494406389961891840x + 55151228745540959074	$ 2^{66}\cdot 7^{6}\cdot 193^{4}\cdot 223^{4} $	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2, 2, 2, 2, 2, 2, 6, 106594380]$ (GRH)

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Results (displaying all 28 matches)

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
16.0.84934656000000000000.5	x¹⁶ + 12x¹⁴ + 70x¹² + 252x¹⁰ + 584x⁸ + 858x⁶ + 765x⁴ + 378x² + 81	\( 2^{32}\cdot 3^{4}\cdot 5^{12} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial (GRH)
16.0.84934656000000000000.6	x¹⁶ - 12x¹⁴ + 70x¹² - 252x¹⁰ + 584x⁸ - 858x⁶ + 765x⁴ - 378x² + 81	\( 2^{32}\cdot 3^{4}\cdot 5^{12} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial (GRH)
16.4.726450732562500000000.1	x¹⁶ - 4x¹⁵ + 3x¹⁴ + 17x¹³ - 40x¹² - 11x¹¹ + 123x¹⁰ - 64x⁹ - 205x⁸ + 203x⁷ + 213x⁶ - 246x⁵ - 154x⁴ + 135x³ + 95x² - 5	\( 2^{8}\cdot 3^{8}\cdot 5^{12}\cdot 11^{6} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial
16.4.726450732562500000000.2	x¹⁶ - 2x¹⁵ + 2x¹⁴ + 16x¹³ - 53x¹² + 43x¹¹ + 86x¹⁰ - 206x⁹ + 123x⁸ + 62x⁷ - 74x⁶ - 98x⁵ + 231x⁴ - 220x³ + 110x² - 15x - 5	\( 2^{8}\cdot 3^{8}\cdot 5^{12}\cdot 11^{6} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial
16.4.21743271936000000000000.4	x¹⁶ - 2x¹⁴ - 12x¹⁰ - x⁸ - 48x⁶ + 162x² + 81	\( 2^{40}\cdot 3^{4}\cdot 5^{12} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial (GRH)
16.4.21743271936000000000000.5	x¹⁶ + 2x¹⁴ + 12x¹⁰ - x⁸ + 48x⁶ - 162x² + 81	\( 2^{40}\cdot 3^{4}\cdot 5^{12} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial (GRH)
16.0.22850732699536000000000000.3	x¹⁶ - 2x¹⁵ - 12x¹⁴ + 40x¹³ + 55x¹² - 518x¹¹ + 974x¹⁰ + 420x⁹ - 4046x⁸ + 2060x⁷ + 16641x⁶ - 44736x⁵ + 55945x⁴ - 40390x³ + 17302x² - 4254x + 521	\( 2^{16}\cdot 5^{12}\cdot 7^{4}\cdot 29^{6} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[4]$ (GRH)
16.0.22850732699536000000000000.4	x¹⁶ - 6x¹⁵ + 22x¹⁴ - 60x¹³ + 30x¹² + 446x¹¹ - 1369x¹⁰ + 530x⁹ + 4909x⁸ - 10030x⁷ + 1639x⁶ + 20588x⁵ - 31805x⁴ + 7550x³ + 38363x² - 53248x + 22961	\( 2^{16}\cdot 5^{12}\cdot 7^{4}\cdot 29^{6} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[4]$ (GRH)
16.0.30400667142400000000000000.1	x¹⁶ - 30x¹⁴ + 440x¹² - 4055x¹⁰ + 25535x⁸ - 112750x⁶ + 344400x⁴ - 672400x² + 672400	\( 2^{20}\cdot 5^{14}\cdot 41^{6} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2]$ (GRH)
16.8.214314879732757562500000000.1	x¹⁶ - 2x¹⁴ - 39x¹³ + 7x¹² + 81x¹¹ + 431x¹⁰ - 222x⁹ - 235x⁸ - 2112x⁷ - 892x⁶ + 3633x⁵ + 3712x⁴ - 1134x³ - 4417x² + 588x + 931	\( 2^{8}\cdot 5^{12}\cdot 7^{8}\cdot 29^{6} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2]$ (GRH)
16.8.214314879732757562500000000.2	x¹⁶ - 9x¹⁴ - 23x¹³ - 43x¹² + 234x¹¹ + 497x¹⁰ - 95x⁹ - 2568x⁸ - 6587x⁷ + 4443x⁶ + 14737x⁵ - 6699x⁴ - 2524x³ + 8173x² - 6897x + 1331	\( 2^{8}\cdot 5^{12}\cdot 7^{8}\cdot 29^{6} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2]$ (GRH)
16.0.475549784866816000000000000.5	x¹⁶ - 4x¹⁴ + 48x¹² - 320x¹⁰ + 636x⁸ + 3520x⁶ + 4432x⁴ + 352x² + 1936	\( 2^{40}\cdot 5^{12}\cdot 11^{6} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2]$ (GRH)
16.0.475549784866816000000000000.6	x¹⁶ - 12x¹⁴ + 92x¹² - 440x¹⁰ + 1336x⁸ + 560x⁶ + 6448x⁴ + 5984x² + 1936	\( 2^{40}\cdot 5^{12}\cdot 11^{6} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2]$ (GRH)
16.0.743046538854400000000000000.1	x¹⁶ - 10x¹⁴ + 30x¹² + 80x¹⁰ - 640x⁸ - 200x⁶ + 11600x⁴ - 39600x² + 48400	\( 2^{36}\cdot 5^{14}\cdot 11^{6} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[4]$ (GRH)
16.8.7608796557869056000000000000.1	x¹⁶ - 12x¹⁴ - 50x¹² + 468x¹⁰ + 1319x⁸ - 708x⁶ - 3050x⁴ - 1408x² + 121	\( 2^{44}\cdot 5^{12}\cdot 11^{6} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial (GRH)
16.8.7608796557869056000000000000.2	x¹⁶ - 4x¹⁴ - 110x¹² + 284x¹⁰ + 1999x⁸ + 364x⁶ - 1270x⁴ - 264x² + 121	\( 2^{44}\cdot 5^{12}\cdot 11^{6} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial (GRH)
16.0.7782570788454400000000000000.1	x¹⁶ - 6x¹⁵ + 28x¹⁴ - 52x¹³ + x¹² + 294x¹¹ - 720x¹⁰ - 836x⁹ + 5059x⁸ - 2922x⁷ - 10480x⁶ + 12112x⁵ + 12186x⁴ - 25724x³ + 15572x² - 4368x + 556	\( 2^{28}\cdot 5^{14}\cdot 41^{6} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2, 4]$ (GRH)
16.0.11888744621670400000000000000.1	x¹⁶ + 80x¹² + 1870x⁸ + 12800x⁴ + 3025	\( 2^{40}\cdot 5^{14}\cdot 11^{6} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[8]$ (GRH)
16.0.11888744621670400000000000000.2	x¹⁶ + 320x¹² + 29920x⁸ + 819200x⁴ + 774400	\( 2^{40}\cdot 5^{14}\cdot 11^{6} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[8]$ (GRH)
16.0.11888744621670400000000000000.3	x¹⁶ + 20x¹² + 60x⁸ + 1600x⁴ + 48400	\( 2^{40}\cdot 5^{14}\cdot 11^{6} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 4]$ (GRH)
16.8.190219913946726400000000000000.1	x¹⁶ - 80x¹² + 1870x⁸ - 12800x⁴ + 3025	\( 2^{44}\cdot 5^{14}\cdot 11^{6} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial (GRH)
16.8.190219913946726400000000000000.2	x¹⁶ - 20x¹⁴ - 310x¹² + 4280x¹⁰ + 35695x⁸ + 35600x⁶ - 20050x⁴ - 7700x² + 3025	\( 2^{44}\cdot 5^{14}\cdot 11^{6} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	Trivial (GRH)
16.0.251031461538713539216000000000000.1	x¹⁶ - 353x¹⁴ + 58663x¹² - 5556741x¹⁰ + 326243180x⁸ - 12205119771x⁶ + 284960720083x⁴ - 3798046039983x² + 22182790639321	\( 2^{16}\cdot 5^{12}\cdot 13^{4}\cdot 29^{6}\cdot 31^{4} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2]$ (GRH)
16.0.251031461538713539216000000000000.2	x¹⁶ - 388x¹⁴ + 63603x¹² - 5751166x¹⁰ + 320691855x⁸ - 11485492746x⁶ + 261694006743x⁴ - 3522825312448x² + 22182790639321	\( 2^{16}\cdot 5^{12}\cdot 13^{4}\cdot 29^{6}\cdot 31^{4} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2]$ (GRH)
16.8.135369534360064007243398352896000000000000.1	x¹⁶ - 4x¹⁵ + 12x¹⁴ + 1018x¹³ - 319433x¹² + 1135436x¹¹ - 25846438x¹⁰ - 158581856x⁹ + 17617749905x⁸ - 11772785364x⁷ + 624071995234x⁶ + 21890648688x⁵ - 137019728017313x⁴ + 161198981765422x³ - 3913108136820788x² + 23399467424640620x + 168216722677285441	\( 2^{24}\cdot 5^{12}\cdot 13^{4}\cdot 29^{6}\cdot 1181^{4} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2, 2]$ (GRH)
16.0.1861644105089180838863336343231454234279936.1	x¹⁶ + 3192x¹⁴ - 3680x¹³ + 3820332x¹² - 8222112x¹¹ + 2278069768x¹⁰ - 6381521824x⁹ + 749980009966x⁸ - 2278581253952x⁷ + 140107567212424x⁶ - 406917584361472x⁵ + 14342083431686636x⁴ - 34925731551753120x³ + 706802171767051960x² - 1124404063609193536x + 11373046199801545201	\( 2^{62}\cdot 7^{6}\cdot 193^{4}\cdot 223^{4} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2, 2, 2, 2, 2, 2, 2, 75774660]$ (GRH)
16.16.1861644105089180838863336343231454234279936.1	x¹⁶ - 3208x¹⁴ - 2160x¹³ + 3852332x¹² + 3042144x¹¹ - 2294565432x¹⁰ - 1556101712x⁹ + 748277249166x⁸ + 359826968384x⁷ - 137166478126136x⁶ - 33098698794736x⁵ + 13659966875592876x⁴ - 448750962282272x³ - 650460101056359304x² + 186964374704677232x + 10037906408750643793	\( 2^{62}\cdot 7^{6}\cdot 193^{4}\cdot 223^{4} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2]$ (GRH)
16.0.29786305681426893421813381491703267748478976.1	x¹⁶ + 3464x¹⁴ - 3216x¹³ + 4898708x¹² - 7958096x¹¹ + 3643957168x¹⁰ - 7631842416x⁹ + 1528170097824x⁸ - 3619337419376x⁷ + 358605823359368x⁶ - 892387439161696x⁵ + 43925474650991112x⁴ - 109475242669266480x³ + 2467664760780016224x² - 5494406389961891840x + 55151228745540959074	\( 2^{66}\cdot 7^{6}\cdot 193^{4}\cdot 223^{4} \)	$(C_2^2\times C_4).C_2^4$ (as 16T471)	$[2, 2, 2, 2, 2, 2, 2, 6, 106594380]$ (GRH)