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Results (displaying all 28 matches)

Label	Polynomial	Discriminant	Galois group	Class group
16.4.3673508889600000000.1	x¹⁶ - 3x¹⁴ + 4x¹² - 7x¹⁰ + 4x⁸ - 17x⁶ - 8x⁴ + 1	$ 2^{16}\cdot 3^{4}\cdot 5^{8}\cdot 11^{6} $	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial
16.0.3673508889600000000.2	x¹⁶ + 3x¹⁴ + 4x¹² + 7x¹⁰ + 4x⁸ + 17x⁶ - 8x⁴ + 1	$ 2^{16}\cdot 3^{4}\cdot 5^{8}\cdot 11^{6} $	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial
16.0.9479736937452404736.1	x¹⁶ + 6x¹⁴ + 3x¹² + 24x¹⁰ + 59x⁸ + 54x⁶ + 57x⁴ + 36x² + 16	$ 2^{24}\cdot 3^{4}\cdot 17^{8} $	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial
16.0.10044752324575775625.1	x¹⁶ - 3x¹⁵ + 3x¹⁴ - 12x¹³ + 33x¹² - 18x¹¹ + 45x¹⁰ - 105x⁹ + 15x⁸ - 63x⁷ + 144x⁶ + 45x⁵ + 81x⁴ - 45x³ - 9x² - 18x + 9	$ 3^{14}\cdot 5^{4}\cdot 7^{6}\cdot 13^{4} $	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial
16.0.10044752324575775625.2	x¹⁶ + 6x¹⁴ - 15x¹³ + 15x¹² - 54x¹¹ + 99x¹⁰ - 84x⁹ + 159x⁸ - 234x⁷ + 135x⁶ - 117x⁵ + 162x⁴ - 63x³ - 9x² - 9x + 9	$ 3^{14}\cdot 5^{4}\cdot 7^{6}\cdot 13^{4} $	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2]$
16.4.93572113180734849024.1	x¹⁶ + 2x¹⁴ - 6x¹² - 11x¹⁰ + 16x⁸ + 25x⁶ - 15x⁴ - 22x² + 1	$ 2^{16}\cdot 3^{6}\cdot 7^{4}\cdot 13^{8} $	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.0.8334464799024100000000.1	x¹⁶ + 13x¹⁴ + 89x¹² + 364x¹⁰ + 936x⁸ + 1456x⁶ + 1424x⁴ + 832x² + 256	$ 2^{8}\cdot 5^{8}\cdot 11^{6}\cdot 19^{6} $	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.4.8334464799024100000000.3	x¹⁶ - 4x¹⁵ - 2x¹⁴ + 23x¹³ - 21x¹² + 84x¹¹ - 77x¹⁰ - 498x⁹ + 629x⁸ + 919x⁷ - 636x⁶ - 1695x⁵ + 212x⁴ + 1689x³ + 583x² - 1867x + 661	$ 2^{8}\cdot 5^{8}\cdot 11^{6}\cdot 19^{6} $	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.0.11171113175617115295744.1	x¹⁶ - 4x¹⁵ + 21x¹⁴ - 66x¹³ + 190x¹² - 436x¹¹ + 851x¹⁰ - 1408x⁹ + 1919x⁸ - 2106x⁷ + 1982x⁶ - 1796x⁵ + 1196x⁴ - 184x³ - 264x² + 80x + 32	$ 2^{12}\cdot 3^{4}\cdot 13^{6}\cdot 17^{8} $	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2]$
16.0.11171113175617115295744.2	x¹⁶ - 4x¹⁵ + 21x¹⁴ - 46x¹³ + 125x¹² - 206x¹¹ + 376x¹⁰ - 490x⁹ + 565x⁸ - 590x⁷ + 547x⁶ - 288x⁵ + 285x⁴ - 224x³ + 64x² + 88x + 32	$ 2^{12}\cdot 3^{4}\cdot 13^{6}\cdot 17^{8} $	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.0.15860140010594477604864.1	x¹⁶ - 6x¹⁵ + 11x¹⁴ - 6x¹³ + 10x¹² - 24x¹¹ - 7x¹⁰ - 18x⁹ + 259x⁸ - 546x⁷ + 710x⁶ - 864x⁵ + 964x⁴ - 1128x³ + 1736x² - 1824x + 736	$ 2^{16}\cdot 3^{14}\cdot 11^{6}\cdot 13^{4} $	$C_2^2.C_2^5.C_2$ (as 16T511)	$[4]$
16.4.15860140010594477604864.1	x¹⁶ - 6x¹⁵ + 7x¹⁴ + 18x¹³ - 38x¹² + 36x¹¹ - 167x¹⁰ + 294x⁹ + 43x⁸ - 426x⁷ + 154x⁶ + 276x⁵ - 128x⁴ - 168x³ - 8x² + 48x + 16	$ 2^{16}\cdot 3^{14}\cdot 11^{6}\cdot 13^{4} $	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.0.17983880206872670633984.1	x¹⁶ - 8x¹⁵ + 40x¹⁴ - 136x¹³ + 346x¹² - 600x¹¹ + 740x¹⁰ - 348x⁹ - 262x⁸ + 1196x⁷ - 768x⁶ + 464x⁵ + 1187x⁴ - 1060x³ + 1712x² - 728x + 676	$ 2^{30}\cdot 7^{4}\cdot 17^{8} $	$C_2^2.C_2^5.C_2$ (as 16T511)	$[6]$
16.8.17983880206872670633984.1	x¹⁶ - 8x¹⁵ + 8x¹⁴ + 84x¹³ - 224x¹² - 112x¹¹ + 910x¹⁰ - 568x⁹ - 956x⁸ + 852x⁷ + 580x⁶ - 452x⁵ - 277x⁴ + 80x³ + 42x² + 40x + 4	$ 2^{30}\cdot 7^{4}\cdot 17^{8} $	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.0.47554978486681600000000.1	x¹⁶ + 12x¹⁴ + 34x¹² + 68x¹⁰ + 1444x⁸ + 8888x⁶ + 21032x⁴ + 19360x² + 1936	$ 2^{36}\cdot 5^{8}\cdot 11^{6} $	$C_2^2.C_2^5.C_2$ (as 16T511)	$[5]$ (GRH)
16.8.47554978486681600000000.1	x¹⁶ - 12x¹⁴ + 34x¹² - 68x¹⁰ + 1444x⁸ - 8888x⁶ + 21032x⁴ - 19360x² + 1936	$ 2^{36}\cdot 5^{8}\cdot 11^{6} $	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.0.213926531690333338599424.1	x¹⁶ - 6x¹⁵ + 29x¹⁴ - 96x¹³ + 267x¹² - 620x¹¹ + 1320x¹⁰ - 2516x⁹ + 3928x⁸ - 4920x⁷ + 5046x⁶ - 4040x⁵ + 2767x⁴ - 2042x³ + 1339x² - 544x + 103	$ 2^{30}\cdot 13^{4}\cdot 17^{8} $	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2]$ (GRH)
16.0.213926531690333338599424.2	x¹⁶ - 18x¹² + 264x⁸ + 1056x⁴ + 1024	$ 2^{30}\cdot 13^{4}\cdot 17^{8} $	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2]$ (GRH)
16.8.292946839147199189745664.1	x¹⁶ - 20x¹⁴ - 12x¹³ + 144x¹² + 120x¹¹ - 450x¹⁰ - 300x⁹ + 661x⁸ - 168x⁷ - 454x⁶ + 776x⁵ - 638x⁴ - 344x³ + 340x² - 72x + 4	$ 2^{32}\cdot 17^{6}\cdot 41^{4} $	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.8.292946839147199189745664.2	x¹⁶ - 20x¹⁴ - 4x¹³ + 156x¹² + 8x¹¹ - 574x¹⁰ + 260x⁹ + 1005x⁸ - 1288x⁷ - 546x⁶ + 1872x⁵ - 1002x⁴ - 104x³ + 308x² - 72x - 28	$ 2^{32}\cdot 17^{6}\cdot 41^{4} $	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.0.936758026692429703922265625.3	x¹⁶ - 6x¹⁵ + 15x¹⁴ - 30x¹³ + 147x¹² - 432x¹¹ + 1142x¹⁰ - 1930x⁹ + 6639x⁸ - 10096x⁷ + 28250x⁶ - 27887x⁵ + 94594x⁴ - 60735x³ + 212671x² - 37721x + 361429	$ 5^{8}\cdot 13^{4}\cdot 29^{6}\cdot 109^{4} $	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2, 2, 128]$ (GRH)
16.0.936758026692429703922265625.4	x¹⁶ - 2x¹⁵ + 10x¹³ + 82x¹² - 244x¹¹ + 737x¹⁰ - 1330x⁹ + 6309x⁸ - 11322x⁷ + 29204x⁶ - 37990x⁵ + 108829x⁴ - 109115x³ + 246120x² - 143475x + 336775	$ 5^{8}\cdot 13^{4}\cdot 29^{6}\cdot 109^{4} $	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2, 372]$ (GRH)
16.16.8376328060044065776266015625.1	x¹⁶ - 38x¹⁴ + 549x¹² - 3763x¹⁰ + 12400x⁸ - 17354x⁶ + 7989x⁴ - 1130x² + 25	$ 5^{8}\cdot 13^{4}\cdot 29^{4}\cdot 101^{6} $	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.16.8376328060044065776266015625.2	x¹⁶ - 8x¹⁵ - 8x¹⁴ + 196x¹³ - 213x¹² - 1634x¹¹ + 3082x¹⁰ + 5193x⁹ - 13996x⁸ - 2872x⁷ + 23253x⁶ - 9694x⁵ - 9153x⁴ + 6571x³ + 94x² - 812x + 139	$ 5^{8}\cdot 13^{4}\cdot 29^{4}\cdot 101^{6} $	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.8.33634732739038648729600000000.1	x¹⁶ - 4x¹⁵ - 2x¹⁴ - 8x¹³ + 23x¹² + 60x¹¹ - 130x¹⁰ + 1556x⁹ - 1083x⁸ - 160x⁷ - 6310x⁶ + 12564x⁵ - 18547x⁴ - 24820x³ + 58120x² - 9868x - 2621	$ 2^{36}\cdot 5^{8}\cdot 11^{6}\cdot 29^{4} $	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2]$ (GRH)
16.8.33634732739038648729600000000.2	x¹⁶ - 4x¹⁵ - 2x¹⁴ + 52x¹³ - 127x¹² + 140x¹¹ - 280x¹⁰ - 584x⁹ + 4497x⁸ - 6400x⁷ - 4530x⁶ - 5156x⁵ + 513x⁴ + 57500x³ - 11290x² - 25368x - 2411	$ 2^{36}\cdot 5^{8}\cdot 11^{6}\cdot 29^{4} $	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2, 2]$ (GRH)
16.0.424457658822351133081600000000.3	x¹⁶ + 11x¹⁴ + 328x¹² + 219x¹⁰ + 21398x⁸ - 28047x⁶ + 188752x⁴ - 62647x² + 167281	$ 2^{24}\cdot 5^{8}\cdot 19^{4}\cdot 89^{6} $	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2, 2, 264]$ (GRH)
16.0.6791322541157618129305600000000.1	x¹⁶ - 16x¹⁴ + 531x¹² - 7236x¹⁰ + 53849x⁸ - 150054x⁶ + 911628x⁴ - 4184960x² + 15241216	$ 2^{28}\cdot 5^{8}\cdot 19^{4}\cdot 89^{6} $	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2, 2, 264]$ (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
16.4.3673508889600000000.1	x¹⁶ - 3x¹⁴ + 4x¹² - 7x¹⁰ + 4x⁸ - 17x⁶ - 8x⁴ + 1	\( 2^{16}\cdot 3^{4}\cdot 5^{8}\cdot 11^{6} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial
16.0.3673508889600000000.2	x¹⁶ + 3x¹⁴ + 4x¹² + 7x¹⁰ + 4x⁸ + 17x⁶ - 8x⁴ + 1	\( 2^{16}\cdot 3^{4}\cdot 5^{8}\cdot 11^{6} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial
16.0.9479736937452404736.1	x¹⁶ + 6x¹⁴ + 3x¹² + 24x¹⁰ + 59x⁸ + 54x⁶ + 57x⁴ + 36x² + 16	\( 2^{24}\cdot 3^{4}\cdot 17^{8} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial
16.0.10044752324575775625.1	x¹⁶ - 3x¹⁵ + 3x¹⁴ - 12x¹³ + 33x¹² - 18x¹¹ + 45x¹⁰ - 105x⁹ + 15x⁸ - 63x⁷ + 144x⁶ + 45x⁵ + 81x⁴ - 45x³ - 9x² - 18x + 9	\( 3^{14}\cdot 5^{4}\cdot 7^{6}\cdot 13^{4} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial
16.0.10044752324575775625.2	x¹⁶ + 6x¹⁴ - 15x¹³ + 15x¹² - 54x¹¹ + 99x¹⁰ - 84x⁹ + 159x⁸ - 234x⁷ + 135x⁶ - 117x⁵ + 162x⁴ - 63x³ - 9x² - 9x + 9	\( 3^{14}\cdot 5^{4}\cdot 7^{6}\cdot 13^{4} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2]$
16.4.93572113180734849024.1	x¹⁶ + 2x¹⁴ - 6x¹² - 11x¹⁰ + 16x⁸ + 25x⁶ - 15x⁴ - 22x² + 1	\( 2^{16}\cdot 3^{6}\cdot 7^{4}\cdot 13^{8} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.0.8334464799024100000000.1	x¹⁶ + 13x¹⁴ + 89x¹² + 364x¹⁰ + 936x⁸ + 1456x⁶ + 1424x⁴ + 832x² + 256	\( 2^{8}\cdot 5^{8}\cdot 11^{6}\cdot 19^{6} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.4.8334464799024100000000.3	x¹⁶ - 4x¹⁵ - 2x¹⁴ + 23x¹³ - 21x¹² + 84x¹¹ - 77x¹⁰ - 498x⁹ + 629x⁸ + 919x⁷ - 636x⁶ - 1695x⁵ + 212x⁴ + 1689x³ + 583x² - 1867x + 661	\( 2^{8}\cdot 5^{8}\cdot 11^{6}\cdot 19^{6} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.0.11171113175617115295744.1	x¹⁶ - 4x¹⁵ + 21x¹⁴ - 66x¹³ + 190x¹² - 436x¹¹ + 851x¹⁰ - 1408x⁹ + 1919x⁸ - 2106x⁷ + 1982x⁶ - 1796x⁵ + 1196x⁴ - 184x³ - 264x² + 80x + 32	\( 2^{12}\cdot 3^{4}\cdot 13^{6}\cdot 17^{8} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2]$
16.0.11171113175617115295744.2	x¹⁶ - 4x¹⁵ + 21x¹⁴ - 46x¹³ + 125x¹² - 206x¹¹ + 376x¹⁰ - 490x⁹ + 565x⁸ - 590x⁷ + 547x⁶ - 288x⁵ + 285x⁴ - 224x³ + 64x² + 88x + 32	\( 2^{12}\cdot 3^{4}\cdot 13^{6}\cdot 17^{8} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.0.15860140010594477604864.1	x¹⁶ - 6x¹⁵ + 11x¹⁴ - 6x¹³ + 10x¹² - 24x¹¹ - 7x¹⁰ - 18x⁹ + 259x⁸ - 546x⁷ + 710x⁶ - 864x⁵ + 964x⁴ - 1128x³ + 1736x² - 1824x + 736	\( 2^{16}\cdot 3^{14}\cdot 11^{6}\cdot 13^{4} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	$[4]$
16.4.15860140010594477604864.1	x¹⁶ - 6x¹⁵ + 7x¹⁴ + 18x¹³ - 38x¹² + 36x¹¹ - 167x¹⁰ + 294x⁹ + 43x⁸ - 426x⁷ + 154x⁶ + 276x⁵ - 128x⁴ - 168x³ - 8x² + 48x + 16	\( 2^{16}\cdot 3^{14}\cdot 11^{6}\cdot 13^{4} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.0.17983880206872670633984.1	x¹⁶ - 8x¹⁵ + 40x¹⁴ - 136x¹³ + 346x¹² - 600x¹¹ + 740x¹⁰ - 348x⁹ - 262x⁸ + 1196x⁷ - 768x⁶ + 464x⁵ + 1187x⁴ - 1060x³ + 1712x² - 728x + 676	\( 2^{30}\cdot 7^{4}\cdot 17^{8} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	$[6]$
16.8.17983880206872670633984.1	x¹⁶ - 8x¹⁵ + 8x¹⁴ + 84x¹³ - 224x¹² - 112x¹¹ + 910x¹⁰ - 568x⁹ - 956x⁸ + 852x⁷ + 580x⁶ - 452x⁵ - 277x⁴ + 80x³ + 42x² + 40x + 4	\( 2^{30}\cdot 7^{4}\cdot 17^{8} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.0.47554978486681600000000.1	x¹⁶ + 12x¹⁴ + 34x¹² + 68x¹⁰ + 1444x⁸ + 8888x⁶ + 21032x⁴ + 19360x² + 1936	\( 2^{36}\cdot 5^{8}\cdot 11^{6} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	$[5]$ (GRH)
16.8.47554978486681600000000.1	x¹⁶ - 12x¹⁴ + 34x¹² - 68x¹⁰ + 1444x⁸ - 8888x⁶ + 21032x⁴ - 19360x² + 1936	\( 2^{36}\cdot 5^{8}\cdot 11^{6} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.0.213926531690333338599424.1	x¹⁶ - 6x¹⁵ + 29x¹⁴ - 96x¹³ + 267x¹² - 620x¹¹ + 1320x¹⁰ - 2516x⁹ + 3928x⁸ - 4920x⁷ + 5046x⁶ - 4040x⁵ + 2767x⁴ - 2042x³ + 1339x² - 544x + 103	\( 2^{30}\cdot 13^{4}\cdot 17^{8} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2]$ (GRH)
16.0.213926531690333338599424.2	x¹⁶ - 18x¹² + 264x⁸ + 1056x⁴ + 1024	\( 2^{30}\cdot 13^{4}\cdot 17^{8} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2]$ (GRH)
16.8.292946839147199189745664.1	x¹⁶ - 20x¹⁴ - 12x¹³ + 144x¹² + 120x¹¹ - 450x¹⁰ - 300x⁹ + 661x⁸ - 168x⁷ - 454x⁶ + 776x⁵ - 638x⁴ - 344x³ + 340x² - 72x + 4	\( 2^{32}\cdot 17^{6}\cdot 41^{4} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.8.292946839147199189745664.2	x¹⁶ - 20x¹⁴ - 4x¹³ + 156x¹² + 8x¹¹ - 574x¹⁰ + 260x⁹ + 1005x⁸ - 1288x⁷ - 546x⁶ + 1872x⁵ - 1002x⁴ - 104x³ + 308x² - 72x - 28	\( 2^{32}\cdot 17^{6}\cdot 41^{4} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.0.936758026692429703922265625.3	x¹⁶ - 6x¹⁵ + 15x¹⁴ - 30x¹³ + 147x¹² - 432x¹¹ + 1142x¹⁰ - 1930x⁹ + 6639x⁸ - 10096x⁷ + 28250x⁶ - 27887x⁵ + 94594x⁴ - 60735x³ + 212671x² - 37721x + 361429	\( 5^{8}\cdot 13^{4}\cdot 29^{6}\cdot 109^{4} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2, 2, 128]$ (GRH)
16.0.936758026692429703922265625.4	x¹⁶ - 2x¹⁵ + 10x¹³ + 82x¹² - 244x¹¹ + 737x¹⁰ - 1330x⁹ + 6309x⁸ - 11322x⁷ + 29204x⁶ - 37990x⁵ + 108829x⁴ - 109115x³ + 246120x² - 143475x + 336775	\( 5^{8}\cdot 13^{4}\cdot 29^{6}\cdot 109^{4} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2, 372]$ (GRH)
16.16.8376328060044065776266015625.1	x¹⁶ - 38x¹⁴ + 549x¹² - 3763x¹⁰ + 12400x⁸ - 17354x⁶ + 7989x⁴ - 1130x² + 25	\( 5^{8}\cdot 13^{4}\cdot 29^{4}\cdot 101^{6} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.16.8376328060044065776266015625.2	x¹⁶ - 8x¹⁵ - 8x¹⁴ + 196x¹³ - 213x¹² - 1634x¹¹ + 3082x¹⁰ + 5193x⁹ - 13996x⁸ - 2872x⁷ + 23253x⁶ - 9694x⁵ - 9153x⁴ + 6571x³ + 94x² - 812x + 139	\( 5^{8}\cdot 13^{4}\cdot 29^{4}\cdot 101^{6} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	Trivial (GRH)
16.8.33634732739038648729600000000.1	x¹⁶ - 4x¹⁵ - 2x¹⁴ - 8x¹³ + 23x¹² + 60x¹¹ - 130x¹⁰ + 1556x⁹ - 1083x⁸ - 160x⁷ - 6310x⁶ + 12564x⁵ - 18547x⁴ - 24820x³ + 58120x² - 9868x - 2621	\( 2^{36}\cdot 5^{8}\cdot 11^{6}\cdot 29^{4} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2]$ (GRH)
16.8.33634732739038648729600000000.2	x¹⁶ - 4x¹⁵ - 2x¹⁴ + 52x¹³ - 127x¹² + 140x¹¹ - 280x¹⁰ - 584x⁹ + 4497x⁸ - 6400x⁷ - 4530x⁶ - 5156x⁵ + 513x⁴ + 57500x³ - 11290x² - 25368x - 2411	\( 2^{36}\cdot 5^{8}\cdot 11^{6}\cdot 29^{4} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2, 2]$ (GRH)
16.0.424457658822351133081600000000.3	x¹⁶ + 11x¹⁴ + 328x¹² + 219x¹⁰ + 21398x⁸ - 28047x⁶ + 188752x⁴ - 62647x² + 167281	\( 2^{24}\cdot 5^{8}\cdot 19^{4}\cdot 89^{6} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2, 2, 264]$ (GRH)
16.0.6791322541157618129305600000000.1	x¹⁶ - 16x¹⁴ + 531x¹² - 7236x¹⁰ + 53849x⁸ - 150054x⁶ + 911628x⁴ - 4184960x² + 15241216	\( 2^{28}\cdot 5^{8}\cdot 19^{4}\cdot 89^{6} \)	$C_2^2.C_2^5.C_2$ (as 16T511)	$[2, 2, 264]$ (GRH)