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Results (displaying all 32 matches)

Label	Polynomial	Discriminant	Galois group	Class group
16.0.23452051025390625.1	x¹⁶ - 2x¹⁵ + 3x¹⁴ - 5x¹² + 12x¹¹ - 11x¹⁰ + 5x⁹ + 9x⁸ - 15x⁷ + 16x⁶ - 6x⁵ + 5x³ + 2x² + x + 1	$ 3^{8}\cdot 5^{12}\cdot 11^{4} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial
16.0.104976000000000000.4	x¹⁶ - 2x¹⁴ - 2x¹⁰ + 9x⁸ - 8x⁶ + 5x⁴ - 3x² + 1	$ 2^{16}\cdot 3^{8}\cdot 5^{12} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial
16.0.234256000000000000.1	x¹⁶ - 3x¹⁴ + 7x¹⁰ - x⁸ - 17x⁶ + 20x⁴ - 7x² + 1	$ 2^{16}\cdot 5^{12}\cdot 11^{4} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial
16.0.675821419082285056.2	x¹⁶ - 8x¹⁴ + 20x¹² - 8x¹⁰ - 25x⁸ + 8x⁶ + 20x⁴ + 8x² + 1	$ 2^{48}\cdot 7^{4} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial
16.0.1048576000000000000.4	x¹⁶ - 6x¹⁴ + 15x¹² - 14x¹⁰ + 9x⁸ - 14x⁶ + 15x⁴ - 6x² + 1	$ 2^{32}\cdot 5^{12} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)
16.0.1048576000000000000.8	x¹⁶ + 6x¹⁴ + 15x¹² + 14x¹⁰ + 9x⁸ + 14x⁶ + 15x⁴ + 6x² + 1	$ 2^{32}\cdot 5^{12} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)
16.0.1132927402587890625.1	x¹⁶ - 3x¹⁵ + 4x¹⁴ - 9x¹³ + 12x¹² + 12x¹¹ + 8x¹⁰ - 54x⁹ - 19x⁸ + 54x⁷ + 8x⁶ - 12x⁵ + 12x⁴ + 9x³ + 4x² + 3x + 1	$ 3^{8}\cdot 5^{12}\cdot 29^{4} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial
16.0.4526322734619140625.1	x¹⁶ - 3x¹⁵ + 7x¹⁴ - 6x¹³ + 3x¹² + 6x¹¹ + 14x¹⁰ - 48x⁹ + 113x⁸ - 96x⁷ + 56x⁶ + 48x⁵ + 48x⁴ - 192x³ + 448x² - 384x + 256	$ 3^{8}\cdot 5^{12}\cdot 41^{4} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial
16.8.16777216000000000000.1	x¹⁶ - 8x¹⁵ + 22x¹⁴ - 12x¹³ - 38x¹² + 20x¹¹ + 58x¹⁰ + 24x⁹ - 90x⁸ - 24x⁷ + 58x⁶ - 20x⁵ - 38x⁴ + 12x³ + 22x² + 8x + 1	$ 2^{36}\cdot 5^{12} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)
16.0.16777216000000000000.2	x¹⁶ - 8x¹⁵ + 26x¹⁴ - 40x¹³ + 38x¹² - 56x¹¹ + 102x¹⁰ - 76x⁹ + 27x⁸ - 28x⁷ + 138x⁶ - 220x⁵ + 200x⁴ - 112x³ + 40x² - 8x + 1	$ 2^{36}\cdot 5^{12} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2]$
16.8.26873856000000000000.3	x¹⁶ - 8x¹⁵ + 20x¹⁴ - 86x¹² + 152x¹¹ - 102x¹⁰ + 70x⁹ - 124x⁸ + 32x⁷ + 118x⁶ - 24x⁵ - 61x⁴ - 26x³ + 24x² + 14x + 1	$ 2^{24}\cdot 3^{8}\cdot 5^{12} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)
16.0.26873856000000000000.7	x¹⁶ - 6x¹⁵ + 22x¹⁴ - 50x¹³ + 60x¹² - 44x¹¹ - 14x¹⁰ - 20x⁹ + 134x⁸ + 340x⁷ + 404x⁶ + 338x⁵ + 185x⁴ + 70x³ + 18x² + 2x + 1	$ 2^{24}\cdot 3^{8}\cdot 5^{12} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2]$ (GRH)
16.0.26873856000000000000.9	x¹⁶ - 2x¹⁵ + 8x¹⁴ + 25x¹² - 28x¹¹ + 4x¹⁰ - 70x⁹ + 24x⁸ - 50x⁷ + 36x⁶ - 16x⁵ + 65x⁴ + 40x³ + 32x² + 6x + 1	$ 2^{24}\cdot 3^{8}\cdot 5^{12} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2]$ (GRH)
16.0.29548117155177824256.2	x¹⁶ - 4x¹⁴ + 18x¹² + 16x¹⁰ - 13x⁸ + 16x⁶ + 18x⁴ - 4x² + 1	$ 2^{52}\cdot 3^{8} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial
16.0.29548117155177824256.4	x¹⁶ + 4x¹⁴ + 18x¹² - 16x¹⁰ - 13x⁸ - 16x⁶ + 18x⁴ + 4x² + 1	$ 2^{52}\cdot 3^{8} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial
16.8.118192468620711297024.2	x¹⁶ - 8x¹⁴ + 36x¹² - 184x¹⁰ + 608x⁸ - 1120x⁶ + 1032x⁴ - 368x² + 4	$ 2^{54}\cdot 3^{8} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)
16.0.118192468620711297024.10	x¹⁶ + 8x¹⁴ + 36x¹² + 184x¹⁰ + 608x⁸ + 1120x⁶ + 1032x⁴ + 368x² + 4	$ 2^{54}\cdot 3^{8} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2]$
16.8.343361479062744140625.1	x¹⁶ - x¹⁵ - 11x¹⁴ + 3x¹³ + 44x¹² + 41x¹¹ - 104x¹⁰ - 193x⁹ + 91x⁸ + 320x⁷ + 145x⁶ - 110x⁵ - 255x⁴ - 175x³ + 50x² + 100x + 25	$ 3^{8}\cdot 5^{12}\cdot 11^{8} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)
16.0.343361479062744140625.6	x¹⁶ - x¹⁵ + 7x¹⁴ - 10x¹³ + 45x¹² - 34x¹¹ + 26x¹⁰ + 200x⁹ - 271x⁸ + 400x⁷ + 104x⁶ - 272x⁵ + 720x⁴ - 320x³ + 448x² - 128x + 256	$ 3^{8}\cdot 5^{12}\cdot 11^{8} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[4]$ (GRH)
16.0.343361479062744140625.7	x¹⁶ - x¹⁵ + 9x¹⁴ - 17x¹³ + 24x¹² - 19x¹¹ - 134x¹⁰ + 207x⁹ - 379x⁸ - 130x⁷ + 1805x⁶ - 2800x⁵ + 5175x⁴ - 2625x³ + 3000x² + 625	$ 3^{8}\cdot 5^{12}\cdot 11^{8} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[4]$ (GRH)
16.0.1622647227216566419456.2	x¹⁶ + 8x¹⁴ + 12x¹² - 8x¹⁰ - 25x⁸ - 8x⁶ + 12x⁴ + 8x² + 1	$ 2^{48}\cdot 7^{8} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[4]$
16.8.1622647227216566419456.2	x¹⁶ - 8x¹⁴ + 12x¹² + 8x¹⁰ - 25x⁸ + 8x⁶ + 12x⁴ - 8x² + 1	$ 2^{48}\cdot 7^{8} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)
16.0.1622647227216566419456.15	x¹⁶ - 8x¹⁴ + 32x¹² - 120x¹⁰ + 743x⁸ - 2856x⁶ + 6272x⁴ - 5488x² + 2401	$ 2^{48}\cdot 7^{8} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[4]$
16.0.2897022976000000000000.1	x¹⁶ + 2x¹⁴ + 60x¹² + 472x¹⁰ + 1664x⁸ + 1888x⁶ + 960x⁴ + 128x² + 256	$ 2^{24}\cdot 5^{12}\cdot 29^{4} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[6]$
16.8.3429742096000000000000.1	x¹⁶ - 4x¹⁴ - 10x¹² + 54x¹⁰ - x⁸ - 186x⁶ + 155x⁴ - 29x² + 1	$ 2^{16}\cdot 5^{12}\cdot 11^{8} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)
16.0.3429742096000000000000.2	x¹⁶ + 13x¹⁴ + 50x¹² + 68x¹⁰ + 49x⁸ + 272x⁶ + 800x⁴ + 832x² + 256	$ 2^{16}\cdot 5^{12}\cdot 11^{8} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[4]$ (GRH)
16.0.3429742096000000000000.7	x¹⁶ + 9x¹⁴ - 329x¹⁰ - 1141x⁸ + 1771x⁶ + 16940x⁴ + 25289x² + 14641	$ 2^{16}\cdot 5^{12}\cdot 11^{8} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[4]$ (GRH)
16.0.11574317056000000000000.2	x¹⁶ - 6x¹⁵ - 3x¹⁴ + 72x¹³ - 48x¹² - 366x¹¹ + 432x¹⁰ + 876x⁹ - 855x⁸ - 4176x⁷ + 8024x⁶ - 5328x⁵ + 5272x⁴ - 672x³ + 992x² + 16	$ 2^{24}\cdot 5^{12}\cdot 41^{4} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2]$
16.0.74247530256000000000000.1	x¹⁶ + 24x¹² + 90x¹⁰ + 206x⁸ + 840x⁶ + 2049x⁴ + 2250x² + 961	$ 2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2, 8]$
16.16.74247530256000000000000.1	x¹⁶ - 22x¹⁴ + 165x¹² - 517x¹⁰ + 774x⁸ - 583x⁶ + 215x⁴ - 33x² + 1	$ 2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)
16.0.154243018307350441230336.1	x¹⁶ + 8x¹⁴ + 100x¹² + 448x¹⁰ + 945x⁸ + 896x⁶ + 400x⁴ + 64x² + 16	$ 2^{48}\cdot 3^{8}\cdot 17^{4} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2, 12]$
16.16.154243018307350441230336.1	x¹⁶ - 24x¹⁴ + 212x¹² - 872x¹⁰ + 1815x⁸ - 1928x⁶ + 996x⁴ - 200x² + 1	$ 2^{48}\cdot 3^{8}\cdot 17^{4} $	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)

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Results (displaying all 32 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
16.0.23452051025390625.1	x¹⁶ - 2x¹⁵ + 3x¹⁴ - 5x¹² + 12x¹¹ - 11x¹⁰ + 5x⁹ + 9x⁸ - 15x⁷ + 16x⁶ - 6x⁵ + 5x³ + 2x² + x + 1	\( 3^{8}\cdot 5^{12}\cdot 11^{4} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial
16.0.104976000000000000.4	x¹⁶ - 2x¹⁴ - 2x¹⁰ + 9x⁸ - 8x⁶ + 5x⁴ - 3x² + 1	\( 2^{16}\cdot 3^{8}\cdot 5^{12} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial
16.0.234256000000000000.1	x¹⁶ - 3x¹⁴ + 7x¹⁰ - x⁸ - 17x⁶ + 20x⁴ - 7x² + 1	\( 2^{16}\cdot 5^{12}\cdot 11^{4} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial
16.0.675821419082285056.2	x¹⁶ - 8x¹⁴ + 20x¹² - 8x¹⁰ - 25x⁸ + 8x⁶ + 20x⁴ + 8x² + 1	\( 2^{48}\cdot 7^{4} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial
16.0.1048576000000000000.4	x¹⁶ - 6x¹⁴ + 15x¹² - 14x¹⁰ + 9x⁸ - 14x⁶ + 15x⁴ - 6x² + 1	\( 2^{32}\cdot 5^{12} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)
16.0.1048576000000000000.8	x¹⁶ + 6x¹⁴ + 15x¹² + 14x¹⁰ + 9x⁸ + 14x⁶ + 15x⁴ + 6x² + 1	\( 2^{32}\cdot 5^{12} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)
16.0.1132927402587890625.1	x¹⁶ - 3x¹⁵ + 4x¹⁴ - 9x¹³ + 12x¹² + 12x¹¹ + 8x¹⁰ - 54x⁹ - 19x⁸ + 54x⁷ + 8x⁶ - 12x⁵ + 12x⁴ + 9x³ + 4x² + 3x + 1	\( 3^{8}\cdot 5^{12}\cdot 29^{4} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial
16.0.4526322734619140625.1	x¹⁶ - 3x¹⁵ + 7x¹⁴ - 6x¹³ + 3x¹² + 6x¹¹ + 14x¹⁰ - 48x⁹ + 113x⁸ - 96x⁷ + 56x⁶ + 48x⁵ + 48x⁴ - 192x³ + 448x² - 384x + 256	\( 3^{8}\cdot 5^{12}\cdot 41^{4} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial
16.8.16777216000000000000.1	x¹⁶ - 8x¹⁵ + 22x¹⁴ - 12x¹³ - 38x¹² + 20x¹¹ + 58x¹⁰ + 24x⁹ - 90x⁸ - 24x⁷ + 58x⁶ - 20x⁵ - 38x⁴ + 12x³ + 22x² + 8x + 1	\( 2^{36}\cdot 5^{12} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)
16.0.16777216000000000000.2	x¹⁶ - 8x¹⁵ + 26x¹⁴ - 40x¹³ + 38x¹² - 56x¹¹ + 102x¹⁰ - 76x⁹ + 27x⁸ - 28x⁷ + 138x⁶ - 220x⁵ + 200x⁴ - 112x³ + 40x² - 8x + 1	\( 2^{36}\cdot 5^{12} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2]$
16.8.26873856000000000000.3	x¹⁶ - 8x¹⁵ + 20x¹⁴ - 86x¹² + 152x¹¹ - 102x¹⁰ + 70x⁹ - 124x⁸ + 32x⁷ + 118x⁶ - 24x⁵ - 61x⁴ - 26x³ + 24x² + 14x + 1	\( 2^{24}\cdot 3^{8}\cdot 5^{12} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)
16.0.26873856000000000000.7	x¹⁶ - 6x¹⁵ + 22x¹⁴ - 50x¹³ + 60x¹² - 44x¹¹ - 14x¹⁰ - 20x⁹ + 134x⁸ + 340x⁷ + 404x⁶ + 338x⁵ + 185x⁴ + 70x³ + 18x² + 2x + 1	\( 2^{24}\cdot 3^{8}\cdot 5^{12} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2]$ (GRH)
16.0.26873856000000000000.9	x¹⁶ - 2x¹⁵ + 8x¹⁴ + 25x¹² - 28x¹¹ + 4x¹⁰ - 70x⁹ + 24x⁸ - 50x⁷ + 36x⁶ - 16x⁵ + 65x⁴ + 40x³ + 32x² + 6x + 1	\( 2^{24}\cdot 3^{8}\cdot 5^{12} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2]$ (GRH)
16.0.29548117155177824256.2	x¹⁶ - 4x¹⁴ + 18x¹² + 16x¹⁰ - 13x⁸ + 16x⁶ + 18x⁴ - 4x² + 1	\( 2^{52}\cdot 3^{8} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial
16.0.29548117155177824256.4	x¹⁶ + 4x¹⁴ + 18x¹² - 16x¹⁰ - 13x⁸ - 16x⁶ + 18x⁴ + 4x² + 1	\( 2^{52}\cdot 3^{8} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial
16.8.118192468620711297024.2	x¹⁶ - 8x¹⁴ + 36x¹² - 184x¹⁰ + 608x⁸ - 1120x⁶ + 1032x⁴ - 368x² + 4	\( 2^{54}\cdot 3^{8} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)
16.0.118192468620711297024.10	x¹⁶ + 8x¹⁴ + 36x¹² + 184x¹⁰ + 608x⁸ + 1120x⁶ + 1032x⁴ + 368x² + 4	\( 2^{54}\cdot 3^{8} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2]$
16.8.343361479062744140625.1	x¹⁶ - x¹⁵ - 11x¹⁴ + 3x¹³ + 44x¹² + 41x¹¹ - 104x¹⁰ - 193x⁹ + 91x⁸ + 320x⁷ + 145x⁶ - 110x⁵ - 255x⁴ - 175x³ + 50x² + 100x + 25	\( 3^{8}\cdot 5^{12}\cdot 11^{8} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)
16.0.343361479062744140625.6	x¹⁶ - x¹⁵ + 7x¹⁴ - 10x¹³ + 45x¹² - 34x¹¹ + 26x¹⁰ + 200x⁹ - 271x⁸ + 400x⁷ + 104x⁶ - 272x⁵ + 720x⁴ - 320x³ + 448x² - 128x + 256	\( 3^{8}\cdot 5^{12}\cdot 11^{8} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[4]$ (GRH)
16.0.343361479062744140625.7	x¹⁶ - x¹⁵ + 9x¹⁴ - 17x¹³ + 24x¹² - 19x¹¹ - 134x¹⁰ + 207x⁹ - 379x⁸ - 130x⁷ + 1805x⁶ - 2800x⁵ + 5175x⁴ - 2625x³ + 3000x² + 625	\( 3^{8}\cdot 5^{12}\cdot 11^{8} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[4]$ (GRH)
16.0.1622647227216566419456.2	x¹⁶ + 8x¹⁴ + 12x¹² - 8x¹⁰ - 25x⁸ - 8x⁶ + 12x⁴ + 8x² + 1	\( 2^{48}\cdot 7^{8} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[4]$
16.8.1622647227216566419456.2	x¹⁶ - 8x¹⁴ + 12x¹² + 8x¹⁰ - 25x⁸ + 8x⁶ + 12x⁴ - 8x² + 1	\( 2^{48}\cdot 7^{8} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)
16.0.1622647227216566419456.15	x¹⁶ - 8x¹⁴ + 32x¹² - 120x¹⁰ + 743x⁸ - 2856x⁶ + 6272x⁴ - 5488x² + 2401	\( 2^{48}\cdot 7^{8} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[4]$
16.0.2897022976000000000000.1	x¹⁶ + 2x¹⁴ + 60x¹² + 472x¹⁰ + 1664x⁸ + 1888x⁶ + 960x⁴ + 128x² + 256	\( 2^{24}\cdot 5^{12}\cdot 29^{4} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[6]$
16.8.3429742096000000000000.1	x¹⁶ - 4x¹⁴ - 10x¹² + 54x¹⁰ - x⁸ - 186x⁶ + 155x⁴ - 29x² + 1	\( 2^{16}\cdot 5^{12}\cdot 11^{8} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)
16.0.3429742096000000000000.2	x¹⁶ + 13x¹⁴ + 50x¹² + 68x¹⁰ + 49x⁸ + 272x⁶ + 800x⁴ + 832x² + 256	\( 2^{16}\cdot 5^{12}\cdot 11^{8} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[4]$ (GRH)
16.0.3429742096000000000000.7	x¹⁶ + 9x¹⁴ - 329x¹⁰ - 1141x⁸ + 1771x⁶ + 16940x⁴ + 25289x² + 14641	\( 2^{16}\cdot 5^{12}\cdot 11^{8} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[4]$ (GRH)
16.0.11574317056000000000000.2	x¹⁶ - 6x¹⁵ - 3x¹⁴ + 72x¹³ - 48x¹² - 366x¹¹ + 432x¹⁰ + 876x⁹ - 855x⁸ - 4176x⁷ + 8024x⁶ - 5328x⁵ + 5272x⁴ - 672x³ + 992x² + 16	\( 2^{24}\cdot 5^{12}\cdot 41^{4} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2]$
16.0.74247530256000000000000.1	x¹⁶ + 24x¹² + 90x¹⁰ + 206x⁸ + 840x⁶ + 2049x⁴ + 2250x² + 961	\( 2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2, 8]$
16.16.74247530256000000000000.1	x¹⁶ - 22x¹⁴ + 165x¹² - 517x¹⁰ + 774x⁸ - 583x⁶ + 215x⁴ - 33x² + 1	\( 2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)
16.0.154243018307350441230336.1	x¹⁶ + 8x¹⁴ + 100x¹² + 448x¹⁰ + 945x⁸ + 896x⁶ + 400x⁴ + 64x² + 16	\( 2^{48}\cdot 3^{8}\cdot 17^{4} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2, 12]$
16.16.154243018307350441230336.1	x¹⁶ - 24x¹⁴ + 212x¹² - 872x¹⁰ + 1815x⁸ - 1928x⁶ + 996x⁴ - 200x² + 1	\( 2^{48}\cdot 3^{8}\cdot 17^{4} \)	$C_2 \times (C_2^2:C_4)$ (as 16T21)	Trivial (GRH)