LMFDB - Global number field search results

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Results (displaying all 36 matches)

Label	Polynomial	Discriminant	Galois group	Class group
16.0.5455162516701184.1	x¹⁶ - 4x¹³ + 3x¹² + 8x¹⁰ - 8x⁹ + x⁸ - 8x⁷ + 8x⁶ + 3x⁴ - 4x³ + 1	$ 2^{32}\cdot 7^{4}\cdot 23^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.13545904672265625.1	x¹⁶ - 4x¹⁵ + 11x¹⁴ - 25x¹³ + 41x¹² - 63x¹¹ + 81x¹⁰ - 88x⁹ + 101x⁸ - 88x⁷ + 81x⁶ - 63x⁵ + 41x⁴ - 25x³ + 11x² - 4x + 1	$ 3^{8}\cdot 5^{8}\cdot 11^{4}\cdot 19^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.32280635141015625.1	x¹⁶ - 3x¹⁴ - x¹² + 15x⁸ - x⁴ - 3x² + 1	$ 3^{10}\cdot 5^{8}\cdot 7^{2}\cdot 13^{4} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.47683688992866304.1	x¹⁶ - 4x¹⁵ + 10x¹⁴ - 16x¹³ + 18x¹² - 8x¹¹ - 10x¹⁰ + 28x⁹ - 34x⁸ + 28x⁷ - 10x⁶ - 8x⁵ + 18x⁴ - 16x³ + 10x² - 4x + 1	$ 2^{36}\cdot 7^{4}\cdot 17^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.81339259033747456.1	x¹⁶ + 3x¹⁴ + 5x¹² + 7x¹⁰ + 9x⁸ - 4x⁴ + 4x² + 4	$ 2^{24}\cdot 7^{8}\cdot 29^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.281236451406905344.1	x¹⁶ - 4x¹⁵ + 8x¹⁴ - 4x¹³ - 4x¹² + 12x¹¹ - 8x¹⁰ - 4x⁹ + 10x⁸ - 4x⁷ - 8x⁶ + 12x⁵ - 4x⁴ - 4x³ + 8x² - 4x + 1	$ 2^{36}\cdot 7^{2}\cdot 17^{4} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.315214873600000000.1	x¹⁶ - 4x¹⁴ + 6x¹² - 3x¹⁰ + x⁸ - 3x⁶ + 6x⁴ - 4x² + 1	$ 2^{16}\cdot 5^{8}\cdot 11^{4}\cdot 29^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.603008258692612096.1	x¹⁶ - 4x¹⁵ + 8x¹⁴ - 8x¹³ + 4x¹² - 8x¹¹ + 32x¹⁰ - 64x⁹ + 80x⁸ - 80x⁷ + 96x⁶ - 136x⁵ + 161x⁴ - 132x³ + 72x² - 24x + 4	$ 2^{32}\cdot 17^{4}\cdot 41^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.775594895133966336.1	x¹⁶ - x¹⁴ + 4x¹² - 12x¹¹ + 17x¹⁰ - 18x⁹ + 19x⁸ - 18x⁷ + 17x⁶ - 12x⁵ + 4x⁴ - x² + 1	$ 2^{16}\cdot 3^{14}\cdot 11^{4}\cdot 13^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.4.1612290457600000000.3	x¹⁶ + 2x¹⁴ - x¹² - 10x¹⁰ - 15x⁸ - 10x⁶ - x⁴ + 2x² + 1	$ 2^{32}\cdot 5^{8}\cdot 31^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.4.1612290457600000000.4	x¹⁶ - 2x¹⁴ - 8x¹³ + 3x¹² + 8x¹¹ + 24x¹⁰ - 36x⁹ + 12x⁸ - 32x⁷ + 56x⁶ - 32x⁵ + 26x⁴ - 40x³ + 26x² - 4x - 1	$ 2^{32}\cdot 5^{8}\cdot 31^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.2841420831114919936.1	x¹⁶ - 8x¹⁵ + 32x¹⁴ - 84x¹³ + 160x¹² - 228x¹¹ + 230x¹⁰ - 120x⁹ - 71x⁸ + 220x⁷ - 214x⁶ + 68x⁵ + 98x⁴ - 168x³ + 136x² - 64x + 16	$ 2^{32}\cdot 17^{4}\cdot 89^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.3375196136846393344.1	x¹⁶ - 4x¹⁵ + 2x¹⁴ + 12x¹³ - 14x¹² - 24x¹¹ + 68x¹⁰ - 84x⁹ + 135x⁸ - 256x⁷ + 316x⁶ - 244x⁵ + 178x⁴ - 148x³ + 70x² - 8x + 1	$ 2^{32}\cdot 17^{4}\cdot 97^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.3507463262499241984.1	x¹⁶ - 4x¹⁵ + 8x¹⁴ - 10x¹² + 20x¹¹ - 4x⁹ + 27x⁸ - 4x⁷ + 20x⁵ - 10x⁴ + 8x² - 4x + 1	$ 2^{32}\cdot 17^{2}\cdot 41^{4} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.9648132139081793536.1	x¹⁶ - 4x¹⁵ + 8x¹⁴ - 4x¹³ - 12x¹² + 28x¹¹ - 8x¹⁰ - 60x⁹ + 106x⁸ - 84x⁷ + 24x⁶ + 12x⁵ + 84x⁴ - 36x³ + 8x² + 4x + 1	$ 2^{36}\cdot 17^{4}\cdot 41^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.8.13289232793600000000.1	x¹⁶ - 6x¹⁴ + 19x¹² - 76x¹⁰ + 201x⁸ - 264x⁶ + 159x⁴ - 34x² + 1	$ 2^{32}\cdot 5^{8}\cdot 89^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.0.13289232793600000000.2	x¹⁶ + 4x¹⁴ + 11x¹² + 18x¹⁰ + 21x⁸ + 18x⁶ + 11x⁴ + 4x² + 1	$ 2^{32}\cdot 5^{8}\cdot 89^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.13289232793600000000.3	x¹⁶ + 10x¹⁴ - 8x¹³ + 37x¹² - 56x¹¹ + 106x¹⁰ - 156x⁹ + 229x⁸ - 256x⁷ + 286x⁶ - 244x⁵ + 198x⁴ - 112x³ + 56x² - 16x + 4	$ 2^{32}\cdot 5^{8}\cdot 89^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.8.22575421849600000000.1	x¹⁶ - 4x¹⁴ + 4x¹² - 20x¹⁰ - 42x⁸ + 84x⁶ + 100x⁴ - 60x² + 1	$ 2^{36}\cdot 5^{8}\cdot 29^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.0.29580588602332545024.3	x¹⁶ - 2x¹⁵ - 4x¹⁴ + 8x¹³ + 11x¹² - 16x¹¹ - 24x¹⁰ + 10x⁹ + 57x⁸ + 20x⁷ - 96x⁶ - 128x⁵ + 176x⁴ + 256x³ - 256x² - 256x + 256	$ 2^{24}\cdot 3^{8}\cdot 13^{4}\cdot 97^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.56119412199987871744.1	x¹⁶ - 8x¹⁵ + 26x¹⁴ - 36x¹³ + 4x¹² - 8x¹¹ + 232x¹⁰ - 540x⁹ + 507x⁸ - 316x⁷ + 520x⁶ - 848x⁵ + 748x⁴ - 372x³ + 106x² - 16x + 1	$ 2^{36}\cdot 17^{2}\cdot 41^{4} $	$C_2\times D_4^2.C_2$ (as 16T509)	$[2]$
16.0.102930383934669717504.1	x¹⁶ - 4x¹⁵ + 5x¹⁴ - 2x¹³ + 5x¹² - 8x¹¹ - 12x¹⁰ + 32x⁹ - 36x⁸ + 64x⁷ - 48x⁶ - 64x⁵ + 80x⁴ - 64x³ + 320x² - 512x + 256	$ 2^{20}\cdot 3^{8}\cdot 13^{2}\cdot 97^{4} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.4.907426457190400000000.1	x¹⁶ - 6x¹⁵ + 13x¹⁴ - 10x¹³ - 13x¹² + 16x¹¹ + 52x¹⁰ - 248x⁹ + 536x⁸ - 796x⁷ + 820x⁶ - 532x⁵ + 171x⁴ + 26x³ - 45x² + 10x + 1	$ 2^{24}\cdot 5^{8}\cdot 7^{2}\cdot 41^{4} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.4.907426457190400000000.2	x¹⁶ - 2x¹⁵ - x¹⁴ + 2x¹³ - 6x¹² - 8x¹¹ + 15x¹⁰ - 36x⁹ - 17x⁸ + 36x⁷ + 15x⁶ + 8x⁵ - 6x⁴ - 2x³ - x² + 2x + 1	$ 2^{24}\cdot 5^{8}\cdot 7^{2}\cdot 41^{4} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.0.920117582233600000000.1	x¹⁶ - 2x¹⁴ + 27x¹² + 24x¹⁰ + 81x⁸ + 8x⁶ + 91x⁴ + 10x² + 1	$ 2^{24}\cdot 5^{8}\cdot 17^{4}\cdot 41^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.12.1186620610969600000000.1	x¹⁶ - 10x¹⁴ + 31x¹² - 42x¹⁰ + 61x⁸ - 76x⁶ + 47x⁴ - 12x² + 1	$ 2^{32}\cdot 5^{8}\cdot 29^{4} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.12.1186620610969600000000.2	x¹⁶ - 8x¹⁴ + 37x¹² - 110x¹⁰ + 190x⁸ - 176x⁶ + 80x⁴ - 16x² + 1	$ 2^{32}\cdot 5^{8}\cdot 29^{4} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.8.5351964206694400000000.1	x¹⁶ - 4x¹⁵ - 2x¹⁴ + 16x¹³ - 27x¹² + 36x¹¹ + 86x¹⁰ - 72x⁹ - 338x⁸ + 12x⁷ + 728x⁶ - 392x⁵ - 64x⁴ + 100x³ - 50x² + 12x - 1	$ 2^{24}\cdot 5^{8}\cdot 17^{2}\cdot 41^{4} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.8.22144661853849186729984.1	x¹⁶ - 10x¹⁴ - 4x¹³ + 43x¹² - 24x¹¹ - 116x¹⁰ + 244x⁹ + 20x⁸ - 480x⁷ + 374x⁶ + 172x⁵ - 357x⁴ + 152x³ - 12x + 1	$ 2^{32}\cdot 3^{8}\cdot 17^{4}\cdot 97^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.0.82402249434726400000000.1	x¹⁶ - 2x¹⁵ + 11x¹⁴ + 2x¹³ + 34x¹² + 14x¹¹ + 185x¹⁰ - 50x⁹ + 95x⁸ - 260x⁷ + 140x⁶ - 52x⁵ + 106x⁴ - 64x³ - 16x² + 16x + 4	$ 2^{28}\cdot 5^{8}\cdot 17^{4}\cdot 97^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.0.143581093927321600000000.1	x¹⁶ + 6x¹⁴ + 27x¹² + 50x¹⁰ + 21x⁸ - 30x⁶ + 267x⁴ + 136x² + 121	$ 2^{32}\cdot 5^{8}\cdot 11^{2}\cdot 29^{4} $	$C_2\times D_4^2.C_2$ (as 16T509)	$[6]$ (GRH)
16.16.143581093927321600000000.1	x¹⁶ - 18x¹⁴ + 117x¹² - 358x¹⁰ + 558x⁸ - 444x⁶ + 168x⁴ - 26x² + 1	$ 2^{32}\cdot 5^{8}\cdot 11^{2}\cdot 29^{4} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.8.143581093927321600000000.1	x¹⁶ + 2x¹⁴ - 13x¹² - 78x¹⁰ + 193x⁸ - 164x⁶ + 143x⁴ - 36x² + 1	$ 2^{32}\cdot 5^{8}\cdot 11^{2}\cdot 29^{4} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.8.143581093927321600000000.2	x¹⁶ - 10x¹⁴ + 17x¹² - 18x¹⁰ + 94x⁸ - 158x⁶ + 104x⁴ - 72x² + 1	$ 2^{32}\cdot 5^{8}\cdot 11^{2}\cdot 29^{4} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.0.330526751299993600000000.1	x¹⁶ + 12x¹⁴ + 64x¹² + 192x¹⁰ + 300x⁸ - 144x⁶ + 1584x⁴ + 320x² + 400	$ 2^{36}\cdot 5^{8}\cdot 11^{4}\cdot 29^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	$[6]$ (GRH)
16.16.330526751299993600000000.1	x¹⁶ - 24x¹⁴ + 214x¹² - 884x¹⁰ + 1751x⁸ - 1556x⁶ + 574x⁴ - 76x² + 1	$ 2^{36}\cdot 5^{8}\cdot 11^{4}\cdot 29^{2} $	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)

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Results (displaying all 36 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
16.0.5455162516701184.1	x¹⁶ - 4x¹³ + 3x¹² + 8x¹⁰ - 8x⁹ + x⁸ - 8x⁷ + 8x⁶ + 3x⁴ - 4x³ + 1	\( 2^{32}\cdot 7^{4}\cdot 23^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.13545904672265625.1	x¹⁶ - 4x¹⁵ + 11x¹⁴ - 25x¹³ + 41x¹² - 63x¹¹ + 81x¹⁰ - 88x⁹ + 101x⁸ - 88x⁷ + 81x⁶ - 63x⁵ + 41x⁴ - 25x³ + 11x² - 4x + 1	\( 3^{8}\cdot 5^{8}\cdot 11^{4}\cdot 19^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.32280635141015625.1	x¹⁶ - 3x¹⁴ - x¹² + 15x⁸ - x⁴ - 3x² + 1	\( 3^{10}\cdot 5^{8}\cdot 7^{2}\cdot 13^{4} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.47683688992866304.1	x¹⁶ - 4x¹⁵ + 10x¹⁴ - 16x¹³ + 18x¹² - 8x¹¹ - 10x¹⁰ + 28x⁹ - 34x⁸ + 28x⁷ - 10x⁶ - 8x⁵ + 18x⁴ - 16x³ + 10x² - 4x + 1	\( 2^{36}\cdot 7^{4}\cdot 17^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.81339259033747456.1	x¹⁶ + 3x¹⁴ + 5x¹² + 7x¹⁰ + 9x⁸ - 4x⁴ + 4x² + 4	\( 2^{24}\cdot 7^{8}\cdot 29^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.281236451406905344.1	x¹⁶ - 4x¹⁵ + 8x¹⁴ - 4x¹³ - 4x¹² + 12x¹¹ - 8x¹⁰ - 4x⁹ + 10x⁸ - 4x⁷ - 8x⁶ + 12x⁵ - 4x⁴ - 4x³ + 8x² - 4x + 1	\( 2^{36}\cdot 7^{2}\cdot 17^{4} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.315214873600000000.1	x¹⁶ - 4x¹⁴ + 6x¹² - 3x¹⁰ + x⁸ - 3x⁶ + 6x⁴ - 4x² + 1	\( 2^{16}\cdot 5^{8}\cdot 11^{4}\cdot 29^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.603008258692612096.1	x¹⁶ - 4x¹⁵ + 8x¹⁴ - 8x¹³ + 4x¹² - 8x¹¹ + 32x¹⁰ - 64x⁹ + 80x⁸ - 80x⁷ + 96x⁶ - 136x⁵ + 161x⁴ - 132x³ + 72x² - 24x + 4	\( 2^{32}\cdot 17^{4}\cdot 41^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.775594895133966336.1	x¹⁶ - x¹⁴ + 4x¹² - 12x¹¹ + 17x¹⁰ - 18x⁹ + 19x⁸ - 18x⁷ + 17x⁶ - 12x⁵ + 4x⁴ - x² + 1	\( 2^{16}\cdot 3^{14}\cdot 11^{4}\cdot 13^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.4.1612290457600000000.3	x¹⁶ + 2x¹⁴ - x¹² - 10x¹⁰ - 15x⁸ - 10x⁶ - x⁴ + 2x² + 1	\( 2^{32}\cdot 5^{8}\cdot 31^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.4.1612290457600000000.4	x¹⁶ - 2x¹⁴ - 8x¹³ + 3x¹² + 8x¹¹ + 24x¹⁰ - 36x⁹ + 12x⁸ - 32x⁷ + 56x⁶ - 32x⁵ + 26x⁴ - 40x³ + 26x² - 4x - 1	\( 2^{32}\cdot 5^{8}\cdot 31^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.2841420831114919936.1	x¹⁶ - 8x¹⁵ + 32x¹⁴ - 84x¹³ + 160x¹² - 228x¹¹ + 230x¹⁰ - 120x⁹ - 71x⁸ + 220x⁷ - 214x⁶ + 68x⁵ + 98x⁴ - 168x³ + 136x² - 64x + 16	\( 2^{32}\cdot 17^{4}\cdot 89^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.3375196136846393344.1	x¹⁶ - 4x¹⁵ + 2x¹⁴ + 12x¹³ - 14x¹² - 24x¹¹ + 68x¹⁰ - 84x⁹ + 135x⁸ - 256x⁷ + 316x⁶ - 244x⁵ + 178x⁴ - 148x³ + 70x² - 8x + 1	\( 2^{32}\cdot 17^{4}\cdot 97^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.3507463262499241984.1	x¹⁶ - 4x¹⁵ + 8x¹⁴ - 10x¹² + 20x¹¹ - 4x⁹ + 27x⁸ - 4x⁷ + 20x⁵ - 10x⁴ + 8x² - 4x + 1	\( 2^{32}\cdot 17^{2}\cdot 41^{4} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.9648132139081793536.1	x¹⁶ - 4x¹⁵ + 8x¹⁴ - 4x¹³ - 12x¹² + 28x¹¹ - 8x¹⁰ - 60x⁹ + 106x⁸ - 84x⁷ + 24x⁶ + 12x⁵ + 84x⁴ - 36x³ + 8x² + 4x + 1	\( 2^{36}\cdot 17^{4}\cdot 41^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.8.13289232793600000000.1	x¹⁶ - 6x¹⁴ + 19x¹² - 76x¹⁰ + 201x⁸ - 264x⁶ + 159x⁴ - 34x² + 1	\( 2^{32}\cdot 5^{8}\cdot 89^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.0.13289232793600000000.2	x¹⁶ + 4x¹⁴ + 11x¹² + 18x¹⁰ + 21x⁸ + 18x⁶ + 11x⁴ + 4x² + 1	\( 2^{32}\cdot 5^{8}\cdot 89^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.13289232793600000000.3	x¹⁶ + 10x¹⁴ - 8x¹³ + 37x¹² - 56x¹¹ + 106x¹⁰ - 156x⁹ + 229x⁸ - 256x⁷ + 286x⁶ - 244x⁵ + 198x⁴ - 112x³ + 56x² - 16x + 4	\( 2^{32}\cdot 5^{8}\cdot 89^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.8.22575421849600000000.1	x¹⁶ - 4x¹⁴ + 4x¹² - 20x¹⁰ - 42x⁸ + 84x⁶ + 100x⁴ - 60x² + 1	\( 2^{36}\cdot 5^{8}\cdot 29^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.0.29580588602332545024.3	x¹⁶ - 2x¹⁵ - 4x¹⁴ + 8x¹³ + 11x¹² - 16x¹¹ - 24x¹⁰ + 10x⁹ + 57x⁸ + 20x⁷ - 96x⁶ - 128x⁵ + 176x⁴ + 256x³ - 256x² - 256x + 256	\( 2^{24}\cdot 3^{8}\cdot 13^{4}\cdot 97^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.0.56119412199987871744.1	x¹⁶ - 8x¹⁵ + 26x¹⁴ - 36x¹³ + 4x¹² - 8x¹¹ + 232x¹⁰ - 540x⁹ + 507x⁸ - 316x⁷ + 520x⁶ - 848x⁵ + 748x⁴ - 372x³ + 106x² - 16x + 1	\( 2^{36}\cdot 17^{2}\cdot 41^{4} \)	$C_2\times D_4^2.C_2$ (as 16T509)	$[2]$
16.0.102930383934669717504.1	x¹⁶ - 4x¹⁵ + 5x¹⁴ - 2x¹³ + 5x¹² - 8x¹¹ - 12x¹⁰ + 32x⁹ - 36x⁸ + 64x⁷ - 48x⁶ - 64x⁵ + 80x⁴ - 64x³ + 320x² - 512x + 256	\( 2^{20}\cdot 3^{8}\cdot 13^{2}\cdot 97^{4} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.4.907426457190400000000.1	x¹⁶ - 6x¹⁵ + 13x¹⁴ - 10x¹³ - 13x¹² + 16x¹¹ + 52x¹⁰ - 248x⁹ + 536x⁸ - 796x⁷ + 820x⁶ - 532x⁵ + 171x⁴ + 26x³ - 45x² + 10x + 1	\( 2^{24}\cdot 5^{8}\cdot 7^{2}\cdot 41^{4} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.4.907426457190400000000.2	x¹⁶ - 2x¹⁵ - x¹⁴ + 2x¹³ - 6x¹² - 8x¹¹ + 15x¹⁰ - 36x⁹ - 17x⁸ + 36x⁷ + 15x⁶ + 8x⁵ - 6x⁴ - 2x³ - x² + 2x + 1	\( 2^{24}\cdot 5^{8}\cdot 7^{2}\cdot 41^{4} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.0.920117582233600000000.1	x¹⁶ - 2x¹⁴ + 27x¹² + 24x¹⁰ + 81x⁸ + 8x⁶ + 91x⁴ + 10x² + 1	\( 2^{24}\cdot 5^{8}\cdot 17^{4}\cdot 41^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial
16.12.1186620610969600000000.1	x¹⁶ - 10x¹⁴ + 31x¹² - 42x¹⁰ + 61x⁸ - 76x⁶ + 47x⁴ - 12x² + 1	\( 2^{32}\cdot 5^{8}\cdot 29^{4} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.12.1186620610969600000000.2	x¹⁶ - 8x¹⁴ + 37x¹² - 110x¹⁰ + 190x⁸ - 176x⁶ + 80x⁴ - 16x² + 1	\( 2^{32}\cdot 5^{8}\cdot 29^{4} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.8.5351964206694400000000.1	x¹⁶ - 4x¹⁵ - 2x¹⁴ + 16x¹³ - 27x¹² + 36x¹¹ + 86x¹⁰ - 72x⁹ - 338x⁸ + 12x⁷ + 728x⁶ - 392x⁵ - 64x⁴ + 100x³ - 50x² + 12x - 1	\( 2^{24}\cdot 5^{8}\cdot 17^{2}\cdot 41^{4} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.8.22144661853849186729984.1	x¹⁶ - 10x¹⁴ - 4x¹³ + 43x¹² - 24x¹¹ - 116x¹⁰ + 244x⁹ + 20x⁸ - 480x⁷ + 374x⁶ + 172x⁵ - 357x⁴ + 152x³ - 12x + 1	\( 2^{32}\cdot 3^{8}\cdot 17^{4}\cdot 97^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.0.82402249434726400000000.1	x¹⁶ - 2x¹⁵ + 11x¹⁴ + 2x¹³ + 34x¹² + 14x¹¹ + 185x¹⁰ - 50x⁹ + 95x⁸ - 260x⁷ + 140x⁶ - 52x⁵ + 106x⁴ - 64x³ - 16x² + 16x + 4	\( 2^{28}\cdot 5^{8}\cdot 17^{4}\cdot 97^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.0.143581093927321600000000.1	x¹⁶ + 6x¹⁴ + 27x¹² + 50x¹⁰ + 21x⁸ - 30x⁶ + 267x⁴ + 136x² + 121	\( 2^{32}\cdot 5^{8}\cdot 11^{2}\cdot 29^{4} \)	$C_2\times D_4^2.C_2$ (as 16T509)	$[6]$ (GRH)
16.16.143581093927321600000000.1	x¹⁶ - 18x¹⁴ + 117x¹² - 358x¹⁰ + 558x⁸ - 444x⁶ + 168x⁴ - 26x² + 1	\( 2^{32}\cdot 5^{8}\cdot 11^{2}\cdot 29^{4} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.8.143581093927321600000000.1	x¹⁶ + 2x¹⁴ - 13x¹² - 78x¹⁰ + 193x⁸ - 164x⁶ + 143x⁴ - 36x² + 1	\( 2^{32}\cdot 5^{8}\cdot 11^{2}\cdot 29^{4} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.8.143581093927321600000000.2	x¹⁶ - 10x¹⁴ + 17x¹² - 18x¹⁰ + 94x⁸ - 158x⁶ + 104x⁴ - 72x² + 1	\( 2^{32}\cdot 5^{8}\cdot 11^{2}\cdot 29^{4} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)
16.0.330526751299993600000000.1	x¹⁶ + 12x¹⁴ + 64x¹² + 192x¹⁰ + 300x⁸ - 144x⁶ + 1584x⁴ + 320x² + 400	\( 2^{36}\cdot 5^{8}\cdot 11^{4}\cdot 29^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	$[6]$ (GRH)
16.16.330526751299993600000000.1	x¹⁶ - 24x¹⁴ + 214x¹² - 884x¹⁰ + 1751x⁸ - 1556x⁶ + 574x⁴ - 76x² + 1	\( 2^{36}\cdot 5^{8}\cdot 11^{4}\cdot 29^{2} \)	$C_2\times D_4^2.C_2$ (as 16T509)	Trivial (GRH)