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Results (displaying all 30 matches)

Label	Polynomial	Discriminant	Galois group	Class group
16.0.17612050268160000.1	x¹⁶ - 8x¹⁵ + 32x¹⁴ - 84x¹³ + 170x¹² - 292x¹¹ + 432x¹⁰ - 532x⁹ + 522x⁸ - 392x⁷ + 210x⁶ - 64x⁵ - 5x⁴ + 16x³ - 6x² + 1	$ 2^{32}\cdot 3^{8}\cdot 5^{4} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.42998169600000000.3	x¹⁶ + 3x¹⁴ + 11x¹² + 17x¹⁰ + 30x⁸ + 23x⁶ + 21x⁴ + 2x² + 1	$ 2^{24}\cdot 3^{8}\cdot 5^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial (GRH)
16.0.135895449600000000.1	x¹⁶ - 8x¹⁵ + 32x¹⁴ - 76x¹³ + 123x¹² - 152x¹¹ + 168x¹⁰ - 184x⁹ + 193x⁸ - 184x⁷ + 168x⁶ - 152x⁵ + 123x⁴ - 76x³ + 32x² - 8x + 1	$ 2^{32}\cdot 3^{4}\cdot 5^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.403275801600000000.3	x¹⁶ + x¹⁴ - 8x¹³ - 3x¹² - 6x¹¹ + 28x¹⁰ + 22x⁹ + 23x⁸ - 50x⁷ - 62x⁶ - 68x⁵ + 16x⁴ + 60x³ + 80x² + 50x + 25	$ 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{4} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.687970713600000000.3	x¹⁶ + 4x¹⁴ - 5x¹² - 4x¹⁰ + 45x⁸ - 62x⁶ + 88x⁴ - 64x² + 16	$ 2^{28}\cdot 3^{8}\cdot 5^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.1426576071720960000.2	x¹⁶ - 4x¹⁴ + 19x¹² - 52x¹⁰ + 73x⁸ - 52x⁶ + 19x⁴ - 4x² + 1	$ 2^{32}\cdot 3^{12}\cdot 5^{4} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.1549224319426560000.2	x¹⁶ - 10x¹⁴ + 31x¹² - 20x¹⁰ + 45x⁸ + 20x⁶ + 31x⁴ + 10x² + 1	$ 2^{16}\cdot 3^{8}\cdot 5^{4}\cdot 7^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.3782285936100000000.1	x¹⁶ - 8x¹⁵ + 40x¹⁴ - 140x¹³ + 378x¹² - 812x¹¹ + 1409x¹⁰ - 1985x⁹ + 2243x⁸ - 1990x⁷ + 1331x⁶ - 619x⁵ + 168x⁴ - 10x³ - 5x² - x + 1	$ 2^{8}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.8.11007531417600000000.1	x¹⁶ - 4x¹⁵ + 2x¹⁴ + 8x¹³ - 19x¹² + 8x¹¹ - 4x¹⁰ + 76x⁹ + 48x⁸ - 120x⁷ + 8x⁶ + 68x⁵ - 8x⁴ - 12x³ - 4x² + 1	$ 2^{32}\cdot 3^{8}\cdot 5^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial (GRH)
16.0.11007531417600000000.4	x¹⁶ - 6x¹⁴ + 39x¹² - 102x¹⁰ + 128x⁸ - 96x⁶ + 51x⁴ - 12x² + 1	$ 2^{32}\cdot 3^{8}\cdot 5^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.11007531417600000000.13	x¹⁶ - 8x¹⁵ + 32x¹⁴ - 80x¹³ + 137x¹² - 168x¹¹ + 128x¹⁰ + 108x⁹ - 704x⁸ + 1368x⁷ - 1114x⁶ - 488x⁵ + 2144x⁴ - 2324x³ + 1312x² - 392x + 49	$ 2^{32}\cdot 3^{8}\cdot 5^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[2]$
16.0.11953891353600000000.3	x¹⁶ - 4x¹⁵ + 34x¹³ - 85x¹² + 48x¹¹ + 222x¹⁰ - 774x⁹ + 1476x⁸ - 2032x⁷ + 2184x⁶ - 1890x⁵ + 1316x⁴ - 714x³ + 282x² - 72x + 9	$ 2^{16}\cdot 3^{4}\cdot 5^{8}\cdot 7^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.34789235097600000000.2	x¹⁶ - 12x¹⁴ - 16x¹³ + 58x¹² + 192x¹¹ + 200x¹⁰ - 126x⁸ + 112x⁶ + 24x⁵ - 44x⁴ + 32x² - 16x + 4	$ 2^{40}\cdot 3^{4}\cdot 5^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.47917406617600000000.3	x¹⁶ + 18x¹⁴ + 121x¹² + 380x¹⁰ + 578x⁸ + 422x⁶ + 140x⁴ + 20x² + 1	$ 2^{32}\cdot 5^{8}\cdot 13^{4} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.55725627801600000000.2	x¹⁶ - 6x¹⁴ + 22x¹² - 72x¹⁰ + 153x⁸ - 186x⁶ + 148x⁴ - 72x² + 16	$ 2^{28}\cdot 3^{12}\cdot 5^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[2]$
16.0.55725627801600000000.5	x¹⁶ + 6x¹⁴ + 22x¹² + 72x¹⁰ + 153x⁸ + 186x⁶ + 148x⁴ + 72x² + 16	$ 2^{28}\cdot 3^{12}\cdot 5^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[2]$
16.0.72138957898383360000.1	x¹⁶ - 4x¹⁵ + 46x¹² - 48x¹¹ - 56x¹⁰ - 8x⁹ + 222x⁸ + 600x⁷ + 1456x⁶ + 1680x⁵ + 1116x⁴ + 496x³ + 152x² + 32x + 4	$ 2^{44}\cdot 3^{8}\cdot 5^{4} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.8.891610044825600000000.1	x¹⁶ - 8x¹⁴ + 19x¹² - 20x¹⁰ + 25x⁸ - 20x⁶ + 19x⁴ - 8x² + 1	$ 2^{32}\cdot 3^{12}\cdot 5^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial (GRH)
16.0.891610044825600000000.4	x¹⁶ + 8x¹⁴ + 19x¹² + 20x¹⁰ + 25x⁸ + 20x⁶ + 19x⁴ + 8x² + 1	$ 2^{32}\cdot 3^{12}\cdot 5^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[4]$
16.0.891610044825600000000.15	x¹⁶ - 12x¹⁴ + 115x¹² - 624x¹⁰ + 2109x⁸ - 4320x⁶ + 5275x⁴ - 3000x² + 625	$ 2^{32}\cdot 3^{12}\cdot 5^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[4]$
16.8.968265199641600000000.1	x¹⁶ - 13x¹⁴ + 51x¹² - 83x¹⁰ + 104x⁸ - 83x⁶ + 51x⁴ - 13x² + 1	$ 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial (GRH)
16.0.968265199641600000000.8	x¹⁶ - x¹⁴ - 2x¹³ + 3x¹² + 2x¹¹ + 4x¹⁰ - 56x⁹ + 153x⁸ - 436x⁷ + 1118x⁶ - 1798x⁵ + 2098x⁴ - 1870x³ + 1184x² - 460x + 85	$ 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[4]$
16.8.2817928042905600000000.2	x¹⁶ - 12x¹⁴ - 16x¹³ + 16x¹² + 104x¹¹ - 16x¹⁰ - 244x⁹ + 143x⁸ + 176x⁷ - 248x⁶ + 44x⁵ + 96x⁴ - 32x³ - 16x² + 4x + 1	$ 2^{40}\cdot 3^{8}\cdot 5^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial (GRH)
16.0.2817928042905600000000.14	x¹⁶ - 8x¹⁵ + 48x¹⁴ - 196x¹³ + 634x¹² - 1620x¹¹ + 3420x¹⁰ - 5968x⁹ + 8799x⁸ - 10916x⁷ + 11496x⁶ - 10116x⁵ + 7394x⁴ - 4312x³ + 1928x² - 584x + 94	$ 2^{40}\cdot 3^{8}\cdot 5^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[4]$ (GRH)
16.0.2817928042905600000000.18	x¹⁶ - 4x¹⁵ + 32x¹⁴ - 100x¹³ + 404x¹² - 928x¹¹ + 2420x¹⁰ - 4040x⁹ + 7335x⁸ - 8520x⁷ + 10940x⁶ - 7456x⁵ + 6844x⁴ - 300x³ + 1088x² + 2052x + 481	$ 2^{40}\cdot 3^{8}\cdot 5^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[4]$ (GRH)
16.0.2817928042905600000000.19	x¹⁶ - 24x¹⁴ + 246x¹² - 1356x¹⁰ + 4253x⁸ - 6828x⁶ + 2304x⁴ + 4872x² + 1156	$ 2^{40}\cdot 3^{8}\cdot 5^{8} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[4]$
16.16.314386104818073600000000.1	x¹⁶ - 8x¹⁵ + 140x¹³ - 226x¹² - 828x¹¹ + 2032x¹⁰ + 1720x⁹ - 6664x⁸ - 208x⁷ + 8646x⁶ - 1052x⁵ - 5357x⁴ + 276x³ + 1424x² + 104x - 71	$ 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 13^{4} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial (GRH)
16.0.2140755717626265600000000.1	x¹⁶ - 4x¹⁵ + 14x¹⁴ - 44x¹³ + 107x¹² - 200x¹¹ + 396x¹⁰ - 552x⁹ + 580x⁸ - 1032x⁷ + 948x⁶ - 236x⁵ + 2156x⁴ + 832x³ + 1670x² + 596x + 409	$ 2^{32}\cdot 3^{12}\cdot 5^{8}\cdot 7^{4} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[2, 2, 4]$ (GRH)
16.16.2140755717626265600000000.1	x¹⁶ - 30x¹⁴ + 343x¹² - 1920x¹⁰ + 5793x⁸ - 9780x⁶ + 9163x⁴ - 4410x² + 841	$ 2^{32}\cdot 3^{12}\cdot 5^{8}\cdot 7^{4} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial (GRH)
16.0.6765845231016345600000000.1	x¹⁶ - 4x¹⁵ + 16x¹⁴ - 44x¹³ + 98x¹² - 156x¹¹ + 460x¹⁰ - 828x⁹ + 18x⁸ - 2324x⁷ + 2952x⁶ + 3708x⁵ + 10494x⁴ + 6292x³ + 7220x² + 2412x + 2521	$ 2^{40}\cdot 3^{8}\cdot 5^{8}\cdot 7^{4} $	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[2, 2, 10]$ (GRH)

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Results (displaying all 30 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
16.0.17612050268160000.1	x¹⁶ - 8x¹⁵ + 32x¹⁴ - 84x¹³ + 170x¹² - 292x¹¹ + 432x¹⁰ - 532x⁹ + 522x⁸ - 392x⁷ + 210x⁶ - 64x⁵ - 5x⁴ + 16x³ - 6x² + 1	\( 2^{32}\cdot 3^{8}\cdot 5^{4} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.42998169600000000.3	x¹⁶ + 3x¹⁴ + 11x¹² + 17x¹⁰ + 30x⁸ + 23x⁶ + 21x⁴ + 2x² + 1	\( 2^{24}\cdot 3^{8}\cdot 5^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial (GRH)
16.0.135895449600000000.1	x¹⁶ - 8x¹⁵ + 32x¹⁴ - 76x¹³ + 123x¹² - 152x¹¹ + 168x¹⁰ - 184x⁹ + 193x⁸ - 184x⁷ + 168x⁶ - 152x⁵ + 123x⁴ - 76x³ + 32x² - 8x + 1	\( 2^{32}\cdot 3^{4}\cdot 5^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.403275801600000000.3	x¹⁶ + x¹⁴ - 8x¹³ - 3x¹² - 6x¹¹ + 28x¹⁰ + 22x⁹ + 23x⁸ - 50x⁷ - 62x⁶ - 68x⁵ + 16x⁴ + 60x³ + 80x² + 50x + 25	\( 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{4} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.687970713600000000.3	x¹⁶ + 4x¹⁴ - 5x¹² - 4x¹⁰ + 45x⁸ - 62x⁶ + 88x⁴ - 64x² + 16	\( 2^{28}\cdot 3^{8}\cdot 5^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.1426576071720960000.2	x¹⁶ - 4x¹⁴ + 19x¹² - 52x¹⁰ + 73x⁸ - 52x⁶ + 19x⁴ - 4x² + 1	\( 2^{32}\cdot 3^{12}\cdot 5^{4} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.1549224319426560000.2	x¹⁶ - 10x¹⁴ + 31x¹² - 20x¹⁰ + 45x⁸ + 20x⁶ + 31x⁴ + 10x² + 1	\( 2^{16}\cdot 3^{8}\cdot 5^{4}\cdot 7^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.3782285936100000000.1	x¹⁶ - 8x¹⁵ + 40x¹⁴ - 140x¹³ + 378x¹² - 812x¹¹ + 1409x¹⁰ - 1985x⁹ + 2243x⁸ - 1990x⁷ + 1331x⁶ - 619x⁵ + 168x⁴ - 10x³ - 5x² - x + 1	\( 2^{8}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.8.11007531417600000000.1	x¹⁶ - 4x¹⁵ + 2x¹⁴ + 8x¹³ - 19x¹² + 8x¹¹ - 4x¹⁰ + 76x⁹ + 48x⁸ - 120x⁷ + 8x⁶ + 68x⁵ - 8x⁴ - 12x³ - 4x² + 1	\( 2^{32}\cdot 3^{8}\cdot 5^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial (GRH)
16.0.11007531417600000000.4	x¹⁶ - 6x¹⁴ + 39x¹² - 102x¹⁰ + 128x⁸ - 96x⁶ + 51x⁴ - 12x² + 1	\( 2^{32}\cdot 3^{8}\cdot 5^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.11007531417600000000.13	x¹⁶ - 8x¹⁵ + 32x¹⁴ - 80x¹³ + 137x¹² - 168x¹¹ + 128x¹⁰ + 108x⁹ - 704x⁸ + 1368x⁷ - 1114x⁶ - 488x⁵ + 2144x⁴ - 2324x³ + 1312x² - 392x + 49	\( 2^{32}\cdot 3^{8}\cdot 5^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[2]$
16.0.11953891353600000000.3	x¹⁶ - 4x¹⁵ + 34x¹³ - 85x¹² + 48x¹¹ + 222x¹⁰ - 774x⁹ + 1476x⁸ - 2032x⁷ + 2184x⁶ - 1890x⁵ + 1316x⁴ - 714x³ + 282x² - 72x + 9	\( 2^{16}\cdot 3^{4}\cdot 5^{8}\cdot 7^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.34789235097600000000.2	x¹⁶ - 12x¹⁴ - 16x¹³ + 58x¹² + 192x¹¹ + 200x¹⁰ - 126x⁸ + 112x⁶ + 24x⁵ - 44x⁴ + 32x² - 16x + 4	\( 2^{40}\cdot 3^{4}\cdot 5^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.47917406617600000000.3	x¹⁶ + 18x¹⁴ + 121x¹² + 380x¹⁰ + 578x⁸ + 422x⁶ + 140x⁴ + 20x² + 1	\( 2^{32}\cdot 5^{8}\cdot 13^{4} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.0.55725627801600000000.2	x¹⁶ - 6x¹⁴ + 22x¹² - 72x¹⁰ + 153x⁸ - 186x⁶ + 148x⁴ - 72x² + 16	\( 2^{28}\cdot 3^{12}\cdot 5^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[2]$
16.0.55725627801600000000.5	x¹⁶ + 6x¹⁴ + 22x¹² + 72x¹⁰ + 153x⁸ + 186x⁶ + 148x⁴ + 72x² + 16	\( 2^{28}\cdot 3^{12}\cdot 5^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[2]$
16.0.72138957898383360000.1	x¹⁶ - 4x¹⁵ + 46x¹² - 48x¹¹ - 56x¹⁰ - 8x⁹ + 222x⁸ + 600x⁷ + 1456x⁶ + 1680x⁵ + 1116x⁴ + 496x³ + 152x² + 32x + 4	\( 2^{44}\cdot 3^{8}\cdot 5^{4} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial
16.8.891610044825600000000.1	x¹⁶ - 8x¹⁴ + 19x¹² - 20x¹⁰ + 25x⁸ - 20x⁶ + 19x⁴ - 8x² + 1	\( 2^{32}\cdot 3^{12}\cdot 5^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial (GRH)
16.0.891610044825600000000.4	x¹⁶ + 8x¹⁴ + 19x¹² + 20x¹⁰ + 25x⁸ + 20x⁶ + 19x⁴ + 8x² + 1	\( 2^{32}\cdot 3^{12}\cdot 5^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[4]$
16.0.891610044825600000000.15	x¹⁶ - 12x¹⁴ + 115x¹² - 624x¹⁰ + 2109x⁸ - 4320x⁶ + 5275x⁴ - 3000x² + 625	\( 2^{32}\cdot 3^{12}\cdot 5^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[4]$
16.8.968265199641600000000.1	x¹⁶ - 13x¹⁴ + 51x¹² - 83x¹⁰ + 104x⁸ - 83x⁶ + 51x⁴ - 13x² + 1	\( 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial (GRH)
16.0.968265199641600000000.8	x¹⁶ - x¹⁴ - 2x¹³ + 3x¹² + 2x¹¹ + 4x¹⁰ - 56x⁹ + 153x⁸ - 436x⁷ + 1118x⁶ - 1798x⁵ + 2098x⁴ - 1870x³ + 1184x² - 460x + 85	\( 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[4]$
16.8.2817928042905600000000.2	x¹⁶ - 12x¹⁴ - 16x¹³ + 16x¹² + 104x¹¹ - 16x¹⁰ - 244x⁹ + 143x⁸ + 176x⁷ - 248x⁶ + 44x⁵ + 96x⁴ - 32x³ - 16x² + 4x + 1	\( 2^{40}\cdot 3^{8}\cdot 5^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial (GRH)
16.0.2817928042905600000000.14	x¹⁶ - 8x¹⁵ + 48x¹⁴ - 196x¹³ + 634x¹² - 1620x¹¹ + 3420x¹⁰ - 5968x⁹ + 8799x⁸ - 10916x⁷ + 11496x⁶ - 10116x⁵ + 7394x⁴ - 4312x³ + 1928x² - 584x + 94	\( 2^{40}\cdot 3^{8}\cdot 5^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[4]$ (GRH)
16.0.2817928042905600000000.18	x¹⁶ - 4x¹⁵ + 32x¹⁴ - 100x¹³ + 404x¹² - 928x¹¹ + 2420x¹⁰ - 4040x⁹ + 7335x⁸ - 8520x⁷ + 10940x⁶ - 7456x⁵ + 6844x⁴ - 300x³ + 1088x² + 2052x + 481	\( 2^{40}\cdot 3^{8}\cdot 5^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[4]$ (GRH)
16.0.2817928042905600000000.19	x¹⁶ - 24x¹⁴ + 246x¹² - 1356x¹⁰ + 4253x⁸ - 6828x⁶ + 2304x⁴ + 4872x² + 1156	\( 2^{40}\cdot 3^{8}\cdot 5^{8} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[4]$
16.16.314386104818073600000000.1	x¹⁶ - 8x¹⁵ + 140x¹³ - 226x¹² - 828x¹¹ + 2032x¹⁰ + 1720x⁹ - 6664x⁸ - 208x⁷ + 8646x⁶ - 1052x⁵ - 5357x⁴ + 276x³ + 1424x² + 104x - 71	\( 2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 13^{4} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial (GRH)
16.0.2140755717626265600000000.1	x¹⁶ - 4x¹⁵ + 14x¹⁴ - 44x¹³ + 107x¹² - 200x¹¹ + 396x¹⁰ - 552x⁹ + 580x⁸ - 1032x⁷ + 948x⁶ - 236x⁵ + 2156x⁴ + 832x³ + 1670x² + 596x + 409	\( 2^{32}\cdot 3^{12}\cdot 5^{8}\cdot 7^{4} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[2, 2, 4]$ (GRH)
16.16.2140755717626265600000000.1	x¹⁶ - 30x¹⁴ + 343x¹² - 1920x¹⁰ + 5793x⁸ - 9780x⁶ + 9163x⁴ - 4410x² + 841	\( 2^{32}\cdot 3^{12}\cdot 5^{8}\cdot 7^{4} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	Trivial (GRH)
16.0.6765845231016345600000000.1	x¹⁶ - 4x¹⁵ + 16x¹⁴ - 44x¹³ + 98x¹² - 156x¹¹ + 460x¹⁰ - 828x⁹ + 18x⁸ - 2324x⁷ + 2952x⁶ + 3708x⁵ + 10494x⁴ + 6292x³ + 7220x² + 2412x + 2521	\( 2^{40}\cdot 3^{8}\cdot 5^{8}\cdot 7^{4} \)	$C_2 \times (C_4\times C_2):C_2$ (as 16T18)	$[2, 2, 10]$ (GRH)