LMFDB - Global number field search results

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Results (displaying all 32 matches)

Label	Polynomial	Discriminant	Galois group	Class group
16.0.89906337980948736.1	x¹⁶ + x¹⁴ - 3x¹² - 10x¹⁰ + 14x⁸ + 2x⁶ + 9x⁴ + x² + 1	$ 2^{8}\cdot 3^{8}\cdot 13^{4}\cdot 37^{4} $	$C_2^4.C_2^4$ (as 16T573)	Trivial
16.4.270233625600000000.1	x¹⁶ - 8x¹⁵ + 34x¹⁴ - 98x¹³ + 206x¹² - 326x¹¹ + 380x¹⁰ - 294x⁹ + 53x⁸ + 254x⁷ - 476x⁶ + 506x⁵ - 367x⁴ + 184x³ - 61x² + 12x - 1	$ 2^{16}\cdot 3^{4}\cdot 5^{8}\cdot 19^{4} $	$C_2^4.C_2^4$ (as 16T573)	Trivial
16.0.293901241753534464.1	x¹⁶ - 3x¹⁵ + 2x¹⁴ + 3x¹³ - 3x¹² - 15x¹¹ + 58x¹⁰ - 105x⁹ + 128x⁸ - 105x⁷ + 58x⁶ - 15x⁵ - 3x⁴ + 3x³ + 2x² - 3x + 1	$ 2^{18}\cdot 3^{4}\cdot 7^{12} $	$C_2^4.C_2^4$ (as 16T573)	Trivial
16.0.1142908099133440000.1	x¹⁶ - x¹⁵ + 4x¹⁴ + 7x¹³ - x¹² - 3x¹¹ + 8x¹⁰ - 3x⁹ + 8x⁸ - 3x⁷ + 8x⁶ - 3x⁵ - x⁴ + 7x³ + 4x² - x + 1	$ 2^{18}\cdot 5^{4}\cdot 17^{8} $	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.0.2706398756904960000.1	x¹⁶ - x¹⁴ - 10x¹³ + 10x¹¹ + 68x¹⁰ + 56x⁹ + 57x⁸ - 60x⁷ - 66x⁶ - 74x⁵ + 38x⁴ + 20x³ + 15x² - 2x + 1	$ 2^{16}\cdot 3^{4}\cdot 5^{4}\cdot 13^{8} $	$C_2^4.C_2^4$ (as 16T573)	Trivial
16.0.2706398756904960000.2	x¹⁶ + 2x¹⁴ + x¹² + 36x¹⁰ + 86x⁸ + 102x⁶ + 64x⁴ + 16x² + 1	$ 2^{16}\cdot 3^{4}\cdot 5^{4}\cdot 13^{8} $	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.0.6052387225600000000.4	x¹⁶ + 4x¹⁴ + 11x¹² + 8x¹⁰ + 16x⁸ + 8x⁶ + 11x⁴ + 4x² + 1	$ 2^{24}\cdot 5^{8}\cdot 31^{4} $	$C_2^4.C_2^4$ (as 16T573)	Trivial
16.8.7772051865600000000.1	x¹⁶ - 4x¹⁵ + 4x¹⁴ + 12x¹³ - 53x¹² + 72x¹¹ - 174x⁹ + 253x⁸ - 62x⁷ - 226x⁶ + 274x⁵ - 57x⁴ - 90x³ + 62x² - 14x + 1	$ 2^{24}\cdot 3^{4}\cdot 5^{8}\cdot 11^{4} $	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.4.9712139840437890625.1	x¹⁶ - 3x¹⁵ + 3x¹⁴ + 5x¹¹ - 40x¹⁰ + 30x⁹ + 21x⁸ + 22x⁷ - 40x⁶ + 17x⁵ + 14x⁴ + 2x³ - 11x² - 3x + 1	$ 5^{8}\cdot 7^{4}\cdot 11^{4}\cdot 29^{4} $	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.0.18518907289600000000.4	x¹⁶ + 3x¹⁴ + 5x¹² + 9x¹⁰ + 28x⁸ + 9x⁶ + 5x⁴ + 3x² + 1	$ 2^{24}\cdot 5^{8}\cdot 41^{4} $	$C_2^4.C_2^4$ (as 16T573)	Trivial
16.0.18518907289600000000.5	x¹⁶ - 3x¹⁴ + 5x¹² - 9x¹⁰ + 28x⁸ - 9x⁶ + 5x⁴ - 3x² + 1	$ 2^{24}\cdot 5^{8}\cdot 41^{4} $	$C_2^4.C_2^4$ (as 16T573)	Trivial
16.0.71142234243727360000.1	x¹⁶ - 2x¹⁵ - x¹⁴ + 10x¹³ + 2x¹² - 16x¹¹ + 9x¹⁰ + 28x⁹ - 5x⁸ - 28x⁷ + 9x⁶ + 16x⁵ + 2x⁴ - 10x³ - x² + 2x + 1	$ 2^{24}\cdot 5^{4}\cdot 7^{4}\cdot 41^{4} $	$C_2^4.C_2^4$ (as 16T573)	Trivial
16.8.71142234243727360000.1	x¹⁶ - 2x¹⁵ - 7x¹⁴ + 10x¹³ + 10x¹² - 20x¹¹ + 7x¹⁰ + 12x⁹ - 21x⁸ + 12x⁷ + 7x⁶ - 20x⁵ + 10x⁴ + 10x³ - 7x² - 2x + 1	$ 2^{24}\cdot 5^{4}\cdot 7^{4}\cdot 41^{4} $	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.8.73146118344540160000.1	x¹⁶ - 10x¹⁴ + 34x¹² - 56x¹⁰ + 97x⁸ - 222x⁶ + 296x⁴ - 160x² + 16	$ 2^{24}\cdot 5^{4}\cdot 17^{8} $	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.0.278644230169600000000.1	x¹⁶ - 8x¹⁵ + 42x¹⁴ - 154x¹³ + 446x¹² - 1038x¹¹ + 2008x¹⁰ - 3242x⁹ + 4392x⁸ - 4958x⁷ + 4604x⁶ - 3444x⁵ + 2025x⁴ - 904x³ + 328x² - 98x + 29	$ 2^{16}\cdot 5^{8}\cdot 17^{4}\cdot 19^{4} $	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.8.411187550617600000000.3	x¹⁶ - 4x¹⁴ - x¹² + 21x¹⁰ + 20x⁸ - 189x⁶ + 209x⁴ - 29x² + 1	$ 2^{24}\cdot 5^{8}\cdot 89^{4} $	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.0.1013656882862280933376.1	x¹⁶ - 6x¹⁴ + 15x¹² - 14x¹⁰ + 45x⁸ + 28x⁶ + 60x⁴ + 48x² + 16	$ 2^{32}\cdot 17^{4}\cdot 41^{4} $	$C_2^4.C_2^4$ (as 16T573)	Trivial
16.0.1013656882862280933376.2	x¹⁶ - 2x¹⁴ + 15x¹² - 10x¹⁰ - 19x⁸ + 20x⁶ + 60x⁴ + 16x² + 16	$ 2^{32}\cdot 17^{4}\cdot 41^{4} $	$C_2^4.C_2^4$ (as 16T573)	$[2]$
16.8.4437639495672100000000.1	x¹⁶ - 6x¹⁴ - 36x¹² + 176x¹⁰ + 129x⁸ - 376x⁶ - 21x⁴ + 51x² + 1	$ 2^{8}\cdot 5^{8}\cdot 29^{4}\cdot 89^{4} $	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.8.4437639495672100000000.2	x¹⁶ - 9x¹⁴ - 16x¹² + 219x¹⁰ - 251x⁸ - 219x⁶ - 16x⁴ + 9x² + 1	$ 2^{8}\cdot 5^{8}\cdot 29^{4}\cdot 89^{4} $	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.0.148944926387169034240000.1	x¹⁶ - 16x¹⁴ + 122x¹² - 389x¹⁰ + 317x⁸ + 836x⁶ - 1324x⁴ - 380x² + 1444	$ 2^{18}\cdot 5^{4}\cdot 17^{8}\cdot 19^{4} $	$C_2^4.C_2^4$ (as 16T573)	$[2]$ (GRH)
16.0.271135321627033600000000.1	x¹⁶ - 2x¹⁵ - x¹⁴ + 4x¹³ - 9x¹² + 22x¹¹ + 48x¹⁰ - 180x⁹ + 186x⁸ + 84x⁷ - 380x⁶ + 112x⁵ + 420x⁴ + 24x³ + 344x² - 64x + 16	$ 2^{24}\cdot 5^{8}\cdot 11^{4}\cdot 41^{4} $	$C_2^4.C_2^4$ (as 16T573)	$[2, 4]$ (GRH)
16.0.283671324272641600000000.1	x¹⁶ + 6x¹⁴ + 9x¹² - 74x¹⁰ + 1140x⁸ - 74x⁶ + 9x⁴ + 6x² + 1	$ 2^{12}\cdot 5^{8}\cdot 41^{4}\cdot 89^{4} $	$C_2^4.C_2^4$ (as 16T573)	$[5]$ (GRH)
16.0.2623144875606314844160000.1	x¹⁶ - 2x¹⁵ + 17x¹⁴ - 4x¹³ + 129x¹² - 56x¹¹ + 471x¹⁰ - 358x⁹ + 1337x⁸ - 928x⁷ + 3496x⁶ - 576x⁵ + 6976x⁴ + 1536x³ + 9728x² + 4096x + 4096	$ 2^{24}\cdot 5^{4}\cdot 41^{4}\cdot 97^{4} $	$C_2^4.C_2^4$ (as 16T573)	$[6]$ (GRH)
16.0.2623144875606314844160000.2	x¹⁶ - 2x¹⁵ + 23x¹⁴ - 16x¹³ + 129x¹² + 76x¹¹ + 225x¹⁰ + 922x⁹ + 169x⁸ + 2488x⁷ + 2328x⁶ + 1344x⁵ + 9024x⁴ - 1536x³ + 10752x² + 4096	$ 2^{24}\cdot 5^{4}\cdot 41^{4}\cdot 97^{4} $	$C_2^4.C_2^4$ (as 16T573)	$[3, 3]$ (GRH)
16.16.4662377463396916264960000.1	x¹⁶ - 22x¹⁴ + 167x¹² - 536x¹⁰ + 770x⁸ - 518x⁶ + 168x⁴ - 24x² + 1	$ 2^{40}\cdot 5^{4}\cdot 7^{4}\cdot 41^{4} $	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.0.4662377463396916264960000.3	x¹⁶ + 22x¹⁴ + 167x¹² + 536x¹⁰ + 770x⁸ + 518x⁶ + 168x⁴ + 24x² + 1	$ 2^{40}\cdot 5^{4}\cdot 7^{4}\cdot 41^{4} $	$C_2^4.C_2^4$ (as 16T573)	$[4, 12]$ (GRH)
16.0.9532475288778818191360000.1	x¹⁶ - 8x¹⁵ + 40x¹⁴ - 140x¹³ + 413x¹² - 1022x¹¹ + 2229x¹⁰ - 4160x⁹ + 6943x⁸ - 10050x⁷ + 12839x⁶ - 13758x⁵ + 12665x⁴ - 9314x³ + 2734x² + 588x + 134	$ 2^{24}\cdot 5^{4}\cdot 17^{8}\cdot 19^{4} $	$C_2^4.C_2^4$ (as 16T573)	$[2, 6]$ (GRH)
16.0.38129901155115272765440000.1	x¹⁶ + 16x¹⁴ + 122x¹² + 389x¹⁰ + 317x⁸ - 836x⁶ - 1324x⁴ + 380x² + 1444	$ 2^{26}\cdot 5^{4}\cdot 17^{8}\cdot 19^{4} $	$C_2^4.C_2^4$ (as 16T573)	$[2, 6]$ (GRH)
16.16.38129901155115272765440000.1	x¹⁶ - 29x¹⁴ + 329x¹² - 1873x¹⁰ + 5705x⁸ - 8944x⁶ + 5844x⁴ - 348x² + 4	$ 2^{26}\cdot 5^{4}\cdot 17^{8}\cdot 19^{4} $	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.8.53586372784036249600000000.1	x¹⁶ - 2x¹⁵ - 5x¹⁴ + 46x¹³ - 338x¹² + 1132x¹¹ - 2560x¹⁰ + 2270x⁹ + 6018x⁸ - 31290x⁷ + 89417x⁶ - 158654x⁵ + 144336x⁴ - 30432x³ - 39260x² + 18906x - 109	$ 2^{24}\cdot 5^{8}\cdot 19^{4}\cdot 89^{4} $	$C_2^4.C_2^4$ (as 16T573)	$[2]$ (GRH)
16.8.53586372784036249600000000.2	x¹⁶ - 2x¹⁵ - 41x¹⁴ + 80x¹³ + 632x¹² - 1120x¹¹ - 5162x¹⁰ + 8438x⁹ + 24054x⁸ - 40078x⁷ - 60417x⁶ + 106560x⁵ + 89052x⁴ - 107440x³ - 111076x² - 6438x + 15101	$ 2^{24}\cdot 5^{8}\cdot 19^{4}\cdot 89^{4} $	$C_2^4.C_2^4$ (as 16T573)	$[2]$ (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
16.0.89906337980948736.1	x¹⁶ + x¹⁴ - 3x¹² - 10x¹⁰ + 14x⁸ + 2x⁶ + 9x⁴ + x² + 1	\( 2^{8}\cdot 3^{8}\cdot 13^{4}\cdot 37^{4} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial
16.4.270233625600000000.1	x¹⁶ - 8x¹⁵ + 34x¹⁴ - 98x¹³ + 206x¹² - 326x¹¹ + 380x¹⁰ - 294x⁹ + 53x⁸ + 254x⁷ - 476x⁶ + 506x⁵ - 367x⁴ + 184x³ - 61x² + 12x - 1	\( 2^{16}\cdot 3^{4}\cdot 5^{8}\cdot 19^{4} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial
16.0.293901241753534464.1	x¹⁶ - 3x¹⁵ + 2x¹⁴ + 3x¹³ - 3x¹² - 15x¹¹ + 58x¹⁰ - 105x⁹ + 128x⁸ - 105x⁷ + 58x⁶ - 15x⁵ - 3x⁴ + 3x³ + 2x² - 3x + 1	\( 2^{18}\cdot 3^{4}\cdot 7^{12} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial
16.0.1142908099133440000.1	x¹⁶ - x¹⁵ + 4x¹⁴ + 7x¹³ - x¹² - 3x¹¹ + 8x¹⁰ - 3x⁹ + 8x⁸ - 3x⁷ + 8x⁶ - 3x⁵ - x⁴ + 7x³ + 4x² - x + 1	\( 2^{18}\cdot 5^{4}\cdot 17^{8} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.0.2706398756904960000.1	x¹⁶ - x¹⁴ - 10x¹³ + 10x¹¹ + 68x¹⁰ + 56x⁹ + 57x⁸ - 60x⁷ - 66x⁶ - 74x⁵ + 38x⁴ + 20x³ + 15x² - 2x + 1	\( 2^{16}\cdot 3^{4}\cdot 5^{4}\cdot 13^{8} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial
16.0.2706398756904960000.2	x¹⁶ + 2x¹⁴ + x¹² + 36x¹⁰ + 86x⁸ + 102x⁶ + 64x⁴ + 16x² + 1	\( 2^{16}\cdot 3^{4}\cdot 5^{4}\cdot 13^{8} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.0.6052387225600000000.4	x¹⁶ + 4x¹⁴ + 11x¹² + 8x¹⁰ + 16x⁸ + 8x⁶ + 11x⁴ + 4x² + 1	\( 2^{24}\cdot 5^{8}\cdot 31^{4} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial
16.8.7772051865600000000.1	x¹⁶ - 4x¹⁵ + 4x¹⁴ + 12x¹³ - 53x¹² + 72x¹¹ - 174x⁹ + 253x⁸ - 62x⁷ - 226x⁶ + 274x⁵ - 57x⁴ - 90x³ + 62x² - 14x + 1	\( 2^{24}\cdot 3^{4}\cdot 5^{8}\cdot 11^{4} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.4.9712139840437890625.1	x¹⁶ - 3x¹⁵ + 3x¹⁴ + 5x¹¹ - 40x¹⁰ + 30x⁹ + 21x⁸ + 22x⁷ - 40x⁶ + 17x⁵ + 14x⁴ + 2x³ - 11x² - 3x + 1	\( 5^{8}\cdot 7^{4}\cdot 11^{4}\cdot 29^{4} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.0.18518907289600000000.4	x¹⁶ + 3x¹⁴ + 5x¹² + 9x¹⁰ + 28x⁸ + 9x⁶ + 5x⁴ + 3x² + 1	\( 2^{24}\cdot 5^{8}\cdot 41^{4} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial
16.0.18518907289600000000.5	x¹⁶ - 3x¹⁴ + 5x¹² - 9x¹⁰ + 28x⁸ - 9x⁶ + 5x⁴ - 3x² + 1	\( 2^{24}\cdot 5^{8}\cdot 41^{4} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial
16.0.71142234243727360000.1	x¹⁶ - 2x¹⁵ - x¹⁴ + 10x¹³ + 2x¹² - 16x¹¹ + 9x¹⁰ + 28x⁹ - 5x⁸ - 28x⁷ + 9x⁶ + 16x⁵ + 2x⁴ - 10x³ - x² + 2x + 1	\( 2^{24}\cdot 5^{4}\cdot 7^{4}\cdot 41^{4} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial
16.8.71142234243727360000.1	x¹⁶ - 2x¹⁵ - 7x¹⁴ + 10x¹³ + 10x¹² - 20x¹¹ + 7x¹⁰ + 12x⁹ - 21x⁸ + 12x⁷ + 7x⁶ - 20x⁵ + 10x⁴ + 10x³ - 7x² - 2x + 1	\( 2^{24}\cdot 5^{4}\cdot 7^{4}\cdot 41^{4} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.8.73146118344540160000.1	x¹⁶ - 10x¹⁴ + 34x¹² - 56x¹⁰ + 97x⁸ - 222x⁶ + 296x⁴ - 160x² + 16	\( 2^{24}\cdot 5^{4}\cdot 17^{8} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.0.278644230169600000000.1	x¹⁶ - 8x¹⁵ + 42x¹⁴ - 154x¹³ + 446x¹² - 1038x¹¹ + 2008x¹⁰ - 3242x⁹ + 4392x⁸ - 4958x⁷ + 4604x⁶ - 3444x⁵ + 2025x⁴ - 904x³ + 328x² - 98x + 29	\( 2^{16}\cdot 5^{8}\cdot 17^{4}\cdot 19^{4} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.8.411187550617600000000.3	x¹⁶ - 4x¹⁴ - x¹² + 21x¹⁰ + 20x⁸ - 189x⁶ + 209x⁴ - 29x² + 1	\( 2^{24}\cdot 5^{8}\cdot 89^{4} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.0.1013656882862280933376.1	x¹⁶ - 6x¹⁴ + 15x¹² - 14x¹⁰ + 45x⁸ + 28x⁶ + 60x⁴ + 48x² + 16	\( 2^{32}\cdot 17^{4}\cdot 41^{4} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial
16.0.1013656882862280933376.2	x¹⁶ - 2x¹⁴ + 15x¹² - 10x¹⁰ - 19x⁸ + 20x⁶ + 60x⁴ + 16x² + 16	\( 2^{32}\cdot 17^{4}\cdot 41^{4} \)	$C_2^4.C_2^4$ (as 16T573)	$[2]$
16.8.4437639495672100000000.1	x¹⁶ - 6x¹⁴ - 36x¹² + 176x¹⁰ + 129x⁸ - 376x⁶ - 21x⁴ + 51x² + 1	\( 2^{8}\cdot 5^{8}\cdot 29^{4}\cdot 89^{4} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.8.4437639495672100000000.2	x¹⁶ - 9x¹⁴ - 16x¹² + 219x¹⁰ - 251x⁸ - 219x⁶ - 16x⁴ + 9x² + 1	\( 2^{8}\cdot 5^{8}\cdot 29^{4}\cdot 89^{4} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.0.148944926387169034240000.1	x¹⁶ - 16x¹⁴ + 122x¹² - 389x¹⁰ + 317x⁸ + 836x⁶ - 1324x⁴ - 380x² + 1444	\( 2^{18}\cdot 5^{4}\cdot 17^{8}\cdot 19^{4} \)	$C_2^4.C_2^4$ (as 16T573)	$[2]$ (GRH)
16.0.271135321627033600000000.1	x¹⁶ - 2x¹⁵ - x¹⁴ + 4x¹³ - 9x¹² + 22x¹¹ + 48x¹⁰ - 180x⁹ + 186x⁸ + 84x⁷ - 380x⁶ + 112x⁵ + 420x⁴ + 24x³ + 344x² - 64x + 16	\( 2^{24}\cdot 5^{8}\cdot 11^{4}\cdot 41^{4} \)	$C_2^4.C_2^4$ (as 16T573)	$[2, 4]$ (GRH)
16.0.283671324272641600000000.1	x¹⁶ + 6x¹⁴ + 9x¹² - 74x¹⁰ + 1140x⁸ - 74x⁶ + 9x⁴ + 6x² + 1	\( 2^{12}\cdot 5^{8}\cdot 41^{4}\cdot 89^{4} \)	$C_2^4.C_2^4$ (as 16T573)	$[5]$ (GRH)
16.0.2623144875606314844160000.1	x¹⁶ - 2x¹⁵ + 17x¹⁴ - 4x¹³ + 129x¹² - 56x¹¹ + 471x¹⁰ - 358x⁹ + 1337x⁸ - 928x⁷ + 3496x⁶ - 576x⁵ + 6976x⁴ + 1536x³ + 9728x² + 4096x + 4096	\( 2^{24}\cdot 5^{4}\cdot 41^{4}\cdot 97^{4} \)	$C_2^4.C_2^4$ (as 16T573)	$[6]$ (GRH)
16.0.2623144875606314844160000.2	x¹⁶ - 2x¹⁵ + 23x¹⁴ - 16x¹³ + 129x¹² + 76x¹¹ + 225x¹⁰ + 922x⁹ + 169x⁸ + 2488x⁷ + 2328x⁶ + 1344x⁵ + 9024x⁴ - 1536x³ + 10752x² + 4096	\( 2^{24}\cdot 5^{4}\cdot 41^{4}\cdot 97^{4} \)	$C_2^4.C_2^4$ (as 16T573)	$[3, 3]$ (GRH)
16.16.4662377463396916264960000.1	x¹⁶ - 22x¹⁴ + 167x¹² - 536x¹⁰ + 770x⁸ - 518x⁶ + 168x⁴ - 24x² + 1	\( 2^{40}\cdot 5^{4}\cdot 7^{4}\cdot 41^{4} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.0.4662377463396916264960000.3	x¹⁶ + 22x¹⁴ + 167x¹² + 536x¹⁰ + 770x⁸ + 518x⁶ + 168x⁴ + 24x² + 1	\( 2^{40}\cdot 5^{4}\cdot 7^{4}\cdot 41^{4} \)	$C_2^4.C_2^4$ (as 16T573)	$[4, 12]$ (GRH)
16.0.9532475288778818191360000.1	x¹⁶ - 8x¹⁵ + 40x¹⁴ - 140x¹³ + 413x¹² - 1022x¹¹ + 2229x¹⁰ - 4160x⁹ + 6943x⁸ - 10050x⁷ + 12839x⁶ - 13758x⁵ + 12665x⁴ - 9314x³ + 2734x² + 588x + 134	\( 2^{24}\cdot 5^{4}\cdot 17^{8}\cdot 19^{4} \)	$C_2^4.C_2^4$ (as 16T573)	$[2, 6]$ (GRH)
16.0.38129901155115272765440000.1	x¹⁶ + 16x¹⁴ + 122x¹² + 389x¹⁰ + 317x⁸ - 836x⁶ - 1324x⁴ + 380x² + 1444	\( 2^{26}\cdot 5^{4}\cdot 17^{8}\cdot 19^{4} \)	$C_2^4.C_2^4$ (as 16T573)	$[2, 6]$ (GRH)
16.16.38129901155115272765440000.1	x¹⁶ - 29x¹⁴ + 329x¹² - 1873x¹⁰ + 5705x⁸ - 8944x⁶ + 5844x⁴ - 348x² + 4	\( 2^{26}\cdot 5^{4}\cdot 17^{8}\cdot 19^{4} \)	$C_2^4.C_2^4$ (as 16T573)	Trivial (GRH)
16.8.53586372784036249600000000.1	x¹⁶ - 2x¹⁵ - 5x¹⁴ + 46x¹³ - 338x¹² + 1132x¹¹ - 2560x¹⁰ + 2270x⁹ + 6018x⁸ - 31290x⁷ + 89417x⁶ - 158654x⁵ + 144336x⁴ - 30432x³ - 39260x² + 18906x - 109	\( 2^{24}\cdot 5^{8}\cdot 19^{4}\cdot 89^{4} \)	$C_2^4.C_2^4$ (as 16T573)	$[2]$ (GRH)
16.8.53586372784036249600000000.2	x¹⁶ - 2x¹⁵ - 41x¹⁴ + 80x¹³ + 632x¹² - 1120x¹¹ - 5162x¹⁰ + 8438x⁹ + 24054x⁸ - 40078x⁷ - 60417x⁶ + 106560x⁵ + 89052x⁴ - 107440x³ - 111076x² - 6438x + 15101	\( 2^{24}\cdot 5^{8}\cdot 19^{4}\cdot 89^{4} \)	$C_2^4.C_2^4$ (as 16T573)	$[2]$ (GRH)