LMFDB - Global number field search results

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Results (displaying all 46 matches)

Label	Polynomial	Discriminant	Galois group	Class group
16.0.27998475858157401.1	x¹⁶ - 5x¹⁵ + 6x¹⁴ + 9x¹³ - 20x¹² - 9x¹¹ + 31x¹⁰ + 2x⁹ - 12x⁸ - 30x⁷ + 31x⁶ + 15x⁵ - 27x⁴ + 5x³ + 8x² - 5x + 1	$ 3^{8}\cdot 79^{4}\cdot 331^{2} $	16T1868	Trivial
16.0.32681998468583424.1	x¹⁶ - 4x¹⁴ + 9x¹² - 10x¹⁰ + 3x⁸ + 5x⁶ - 4x⁴ + 1	$ 2^{12}\cdot 3^{8}\cdot 43^{2}\cdot 811^{2} $	16T1868	Trivial
16.0.95579905600000000.1	x¹⁶ - 2x¹⁴ + 2x¹² - x¹⁰ + 6x⁸ - 12x⁶ + 11x⁴ - 5x² + 1	$ 2^{12}\cdot 5^{8}\cdot 59^{2}\cdot 131^{2} $	16T1868	Trivial
16.0.95579905600000000.2	x¹⁶ + 3x¹⁴ + 5x¹² + 5x¹⁰ + 3x⁸ + 5x⁶ + 5x⁴ + x² + 1	$ 2^{12}\cdot 5^{8}\cdot 59^{2}\cdot 131^{2} $	16T1868	Trivial
16.0.95579905600000000.3	x¹⁶ - x¹⁴ + x¹² + x⁸ - 3x⁶ + 2x⁴ - x² + 1	$ 2^{12}\cdot 5^{8}\cdot 59^{2}\cdot 131^{2} $	16T1868	Trivial
16.0.98370049600000000.1	x¹⁶ - 2x¹⁰ + 2x⁸ + 5x⁶ + 6x⁴ + 3x² + 1	$ 2^{12}\cdot 5^{8}\cdot 7841^{2} $	16T1868	Trivial
16.0.337785448547265625.1	x¹⁶ - 6x¹⁵ + 13x¹⁴ - 13x¹³ + 13x¹² - 23x¹¹ + 19x¹⁰ - x⁹ - x⁸ + 5x⁷ - 6x⁶ - 10x⁵ + 3x⁴ - 2x³ + 11x² + 5x + 1	$ 5^{8}\cdot 79^{4}\cdot 149^{2} $	16T1868	Trivial
16.0.337785448547265625.2	x¹⁶ + 6x¹⁴ - 3x¹³ + 13x¹² - 2x¹¹ + 14x¹⁰ + 5x⁹ + 11x⁸ + 5x⁷ + 14x⁶ - 2x⁵ + 13x⁴ - 3x³ + 6x² + 1	$ 5^{8}\cdot 79^{4}\cdot 149^{2} $	16T1868	Trivial
16.4.2171968537600000000.1	x¹⁶ + 3x¹⁴ - x¹² - 10x¹⁰ - 4x⁸ + 9x⁶ + 3x⁴ - 3x² + 1	$ 2^{16}\cdot 5^{8}\cdot 61^{2}\cdot 151^{2} $	16T1868	Trivial
16.4.2171968537600000000.2	x¹⁶ + 3x¹⁴ + 3x¹² - 2x¹⁰ - 7x⁸ - 7x⁶ - 3x⁴ + 1	$ 2^{16}\cdot 5^{8}\cdot 61^{2}\cdot 151^{2} $	16T1868	Trivial
16.0.18153053209600000000.1	x¹⁶ + 2x¹⁴ + 12x¹⁰ + 15x⁸ + 9x⁶ + 12x⁴ + 7x² + 1	$ 2^{16}\cdot 5^{8}\cdot 31^{2}\cdot 859^{2} $	16T1868	Trivial
16.4.18153053209600000000.1	x¹⁶ + 2x¹⁴ + x¹² - 4x¹⁰ - 6x⁸ + 23x⁶ - 21x⁴ + 4x² + 1	$ 2^{16}\cdot 5^{8}\cdot 31^{2}\cdot 859^{2} $	16T1868	Trivial
16.8.18153053209600000000.1	x¹⁶ - 5x¹⁴ + 8x¹² - x¹⁰ - 17x⁸ + 11x⁶ + 7x⁴ - 6x² + 1	$ 2^{16}\cdot 5^{8}\cdot 31^{2}\cdot 859^{2} $	16T1868	Trivial
16.0.18153053209600000000.2	x¹⁶ + 5x¹⁴ + 8x¹² + x¹⁰ - 17x⁸ - 11x⁶ + 7x⁴ + 6x² + 1	$ 2^{16}\cdot 5^{8}\cdot 31^{2}\cdot 859^{2} $	16T1868	Trivial
16.4.18153053209600000000.2	x¹⁶ - x¹⁴ + x¹⁰ - 5x⁸ + 8x⁶ - 12x⁴ + 6x² + 1	$ 2^{16}\cdot 5^{8}\cdot 31^{2}\cdot 859^{2} $	16T1868	Trivial
16.8.18153053209600000000.2	x¹⁶ - 2x¹⁴ - 12x¹⁰ + 15x⁸ - 9x⁶ + 12x⁴ - 7x² + 1	$ 2^{16}\cdot 5^{8}\cdot 31^{2}\cdot 859^{2} $	16T1868	Trivial
16.8.52950353794125390625.1	x¹⁶ - x¹⁵ - 10x¹⁴ + 18x¹³ + 13x¹² - 62x¹¹ + 58x¹⁰ + 15x⁹ - 63x⁸ + 15x⁷ + 58x⁶ - 62x⁵ + 13x⁴ + 18x³ - 10x² - x + 1	$ 5^{8}\cdot 11^{2}\cdot 439^{2}\cdot 2411^{2} $	16T1868	Trivial
16.8.52950353794125390625.2	x¹⁶ - 5x¹⁵ + 6x¹⁴ + 8x¹³ - 26x¹² + 8x¹¹ + 48x¹⁰ - 54x⁹ - 25x⁸ + 105x⁷ - 41x⁶ - 114x⁵ + 64x⁴ + 65x³ - 38x² - 4x + 1	$ 5^{8}\cdot 11^{2}\cdot 439^{2}\cdot 2411^{2} $	16T1868	Trivial
16.0.98585041000000000000.1	x¹⁶ + 7x¹⁴ + 15x¹² + 12x¹⁰ + 4x⁸ + 3x⁶ + 10x⁴ + 8x² + 1	$ 2^{12}\cdot 5^{12}\cdot 9929^{2} $	16T1868	$[2]$
16.4.98585041000000000000.1	x¹⁶ - 2x¹⁴ - 9x¹² + 34x¹⁰ - 36x⁸ + 7x⁶ + 4x⁴ + x² + 1	$ 2^{12}\cdot 5^{12}\cdot 9929^{2} $	16T1868	Trivial
16.8.98585041000000000000.1	x¹⁶ + x¹⁴ - 11x¹² - 13x¹⁰ + 49x⁸ - 11x⁶ + 6x⁴ - 7x² + 1	$ 2^{12}\cdot 5^{12}\cdot 9929^{2} $	16T1868	Trivial
16.4.98585041000000000000.2	x¹⁶ - 3x¹⁴ - 2x¹² + 9x¹⁰ - 15x⁸ + 34x⁶ - 37x⁴ - 13x² + 1	$ 2^{12}\cdot 5^{12}\cdot 9929^{2} $	16T1868	Trivial
16.0.367725112345600000000.1	x¹⁶ + 8x¹⁴ + 26x¹² + 55x¹⁰ + 103x⁸ + 147x⁶ + 115x⁴ + 35x² + 1	$ 2^{16}\cdot 5^{8}\cdot 119851^{2} $	16T1868	Trivial
16.12.367725112345600000000.1	x¹⁶ - 8x¹⁴ + 26x¹² - 55x¹⁰ + 103x⁸ - 147x⁶ + 115x⁴ - 35x² + 1	$ 2^{16}\cdot 5^{8}\cdot 119851^{2} $	16T1868	Trivial (GRH)
16.4.367725112345600000000.1	x¹⁶ + 4x¹⁴ - x¹² - 15x¹⁰ - 12x⁸ - 9x⁶ + 10x⁴ + 20x² + 1	$ 2^{16}\cdot 5^{8}\cdot 119851^{2} $	16T1868	Trivial
16.8.367725112345600000000.1	x¹⁶ - 4x¹⁴ - x¹² + 15x¹⁰ - 12x⁸ + 9x⁶ + 10x⁴ - 20x² + 1	$ 2^{16}\cdot 5^{8}\cdot 119851^{2} $	16T1868	Trivial
16.4.367725112345600000000.2	x¹⁶ + 3x¹⁴ - 2x¹² - 17x¹⁰ - 17x⁸ + 13x⁶ + 27x⁴ + 10x² + 1	$ 2^{16}\cdot 5^{8}\cdot 119851^{2} $	16T1868	Trivial
16.8.367725112345600000000.2	x¹⁶ - x¹⁴ - 7x¹² + 5x¹⁰ + 15x⁸ - 2x⁶ - 20x⁴ + 7x² + 1	$ 2^{16}\cdot 5^{8}\cdot 119851^{2} $	16T1868	Trivial
16.4.367725112345600000000.3	x¹⁶ - 3x¹² + 3x¹⁰ + 3x⁸ - 7x⁶ - 2x⁴ + 3x² + 1	$ 2^{16}\cdot 5^{8}\cdot 119851^{2} $	16T1868	Trivial
16.8.367725112345600000000.3	x¹⁶ - 7x¹² + x¹⁰ + 8x⁸ + 4x⁶ - 3x⁴ - 4x² + 1	$ 2^{16}\cdot 5^{8}\cdot 119851^{2} $	16T1868	Trivial
16.0.466359573529600000000.1	x¹⁶ + 8x¹⁴ + 21x¹² + 17x¹⁰ - 5x⁸ - 2x⁶ + 11x⁴ + 7x² + 1	$ 2^{16}\cdot 5^{8}\cdot 71^{2}\cdot 1901^{2} $	16T1868	Trivial
16.12.466359573529600000000.1	x¹⁶ - 8x¹⁴ + 21x¹² - 17x¹⁰ - 5x⁸ + 2x⁶ + 11x⁴ - 7x² + 1	$ 2^{16}\cdot 5^{8}\cdot 71^{2}\cdot 1901^{2} $	16T1868	Trivial (GRH)
16.4.466359573529600000000.1	x¹⁶ + x¹⁴ - 11x¹² - 29x¹⁰ - 20x⁸ + 16x⁶ + 29x⁴ + 11x² + 1	$ 2^{16}\cdot 5^{8}\cdot 71^{2}\cdot 1901^{2} $	16T1868	Trivial
16.8.466359573529600000000.1	x¹⁶ - x¹⁴ - 11x¹² + 29x¹⁰ - 20x⁸ - 16x⁶ + 29x⁴ - 11x² + 1	$ 2^{16}\cdot 5^{8}\cdot 71^{2}\cdot 1901^{2} $	16T1868	Trivial
16.0.1577360656000000000000.1	x¹⁶ + 4x¹⁴ + 5x¹² + 6x¹⁰ + 19x⁸ + 41x⁶ + 40x⁴ + 14x² + 1	$ 2^{16}\cdot 5^{12}\cdot 9929^{2} $	16T1868	$[2]$
16.8.1577360656000000000000.1	x¹⁶ - 5x¹⁴ + 13x¹² - 40x¹⁰ + 89x⁸ - 95x⁶ + 52x⁴ - 20x² + 1	$ 2^{16}\cdot 5^{12}\cdot 9929^{2} $	16T1868	Trivial
16.12.28678961869849600000000.1	x¹⁶ - 2x¹⁴ - 12x¹² + 29x¹⁰ + 18x⁸ - 87x⁶ + 67x⁴ - 16x² + 1	$ 2^{16}\cdot 5^{8}\cdot 439^{2}\cdot 2411^{2} $	16T1868	Trivial (GRH)
16.4.28678961869849600000000.1	x¹⁶ + 6x¹⁴ + 3x¹² - 43x¹⁰ - 94x⁸ - 49x⁶ + 24x⁴ + 20x² + 1	$ 2^{16}\cdot 5^{8}\cdot 439^{2}\cdot 2411^{2} $	16T1868	Trivial
16.12.28678961869849600000000.2	x¹⁶ - 6x¹⁴ + 3x¹² + 43x¹⁰ - 94x⁸ + 49x⁶ + 24x⁴ - 20x² + 1	$ 2^{16}\cdot 5^{8}\cdot 439^{2}\cdot 2411^{2} $	16T1868	Trivial (GRH)
16.4.28678961869849600000000.2	x¹⁶ + 5x¹⁴ - 6x¹² - 64x¹⁰ - 89x⁸ + 7x⁶ + 73x⁴ + 31x² + 1	$ 2^{16}\cdot 5^{8}\cdot 439^{2}\cdot 2411^{2} $	16T1868	Trivial
16.0.69876989027353600000000.1	x¹⁶ + 15x¹⁴ + 87x¹² + 251x¹⁰ + 384x⁸ + 306x⁶ + 117x⁴ + 19x² + 1	$ 2^{16}\cdot 5^{8}\cdot 1652141^{2} $	16T1868	$[12]$
16.16.69876989027353600000000.1	x¹⁶ - 15x¹⁴ + 87x¹² - 251x¹⁰ + 384x⁸ - 306x⁶ + 117x⁴ - 19x² + 1	$ 2^{16}\cdot 5^{8}\cdot 1652141^{2} $	16T1868	Trivial (GRH)
16.0.113799786888217600000000.1	x¹⁶ + 16x¹⁴ + 96x¹² + 282x¹⁰ + 441x⁸ + 367x⁶ + 151x⁴ + 26x² + 1	$ 2^{16}\cdot 5^{8}\cdot 2108389^{2} $	16T1868	$[12]$
16.16.113799786888217600000000.1	x¹⁶ - 16x¹⁴ + 96x¹² - 282x¹⁰ + 441x⁸ - 367x⁶ + 151x⁴ - 26x² + 1	$ 2^{16}\cdot 5^{8}\cdot 2108389^{2} $	16T1868	Trivial (GRH)
16.8.103904411484402647065600000000.1	x¹⁶ + 10x¹⁴ - 932x¹² + 2709x¹⁰ + 158873x⁸ - 957329x⁶ - 2576433x⁴ + 4105599x² + 1585081	$ 2^{16}\cdot 5^{8}\cdot 31^{2}\cdot 41^{2}\cdot 1259^{4} $	16T1868	Trivial (GRH)
16.8.103904411484402647065600000000.2	x¹⁶ - 10x¹⁴ - 932x¹² - 2709x¹⁰ + 158873x⁸ + 957329x⁶ - 2576433x⁴ - 4105599x² + 1585081	$ 2^{16}\cdot 5^{8}\cdot 31^{2}\cdot 41^{2}\cdot 1259^{4} $	16T1868	Trivial (GRH)

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Results (displaying all 46 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
16.0.27998475858157401.1	x¹⁶ - 5x¹⁵ + 6x¹⁴ + 9x¹³ - 20x¹² - 9x¹¹ + 31x¹⁰ + 2x⁹ - 12x⁸ - 30x⁷ + 31x⁶ + 15x⁵ - 27x⁴ + 5x³ + 8x² - 5x + 1	\( 3^{8}\cdot 79^{4}\cdot 331^{2} \)	16T1868	Trivial
16.0.32681998468583424.1	x¹⁶ - 4x¹⁴ + 9x¹² - 10x¹⁰ + 3x⁸ + 5x⁶ - 4x⁴ + 1	\( 2^{12}\cdot 3^{8}\cdot 43^{2}\cdot 811^{2} \)	16T1868	Trivial
16.0.95579905600000000.1	x¹⁶ - 2x¹⁴ + 2x¹² - x¹⁰ + 6x⁸ - 12x⁶ + 11x⁴ - 5x² + 1	\( 2^{12}\cdot 5^{8}\cdot 59^{2}\cdot 131^{2} \)	16T1868	Trivial
16.0.95579905600000000.2	x¹⁶ + 3x¹⁴ + 5x¹² + 5x¹⁰ + 3x⁸ + 5x⁶ + 5x⁴ + x² + 1	\( 2^{12}\cdot 5^{8}\cdot 59^{2}\cdot 131^{2} \)	16T1868	Trivial
16.0.95579905600000000.3	x¹⁶ - x¹⁴ + x¹² + x⁸ - 3x⁶ + 2x⁴ - x² + 1	\( 2^{12}\cdot 5^{8}\cdot 59^{2}\cdot 131^{2} \)	16T1868	Trivial
16.0.98370049600000000.1	x¹⁶ - 2x¹⁰ + 2x⁸ + 5x⁶ + 6x⁴ + 3x² + 1	\( 2^{12}\cdot 5^{8}\cdot 7841^{2} \)	16T1868	Trivial
16.0.337785448547265625.1	x¹⁶ - 6x¹⁵ + 13x¹⁴ - 13x¹³ + 13x¹² - 23x¹¹ + 19x¹⁰ - x⁹ - x⁸ + 5x⁷ - 6x⁶ - 10x⁵ + 3x⁴ - 2x³ + 11x² + 5x + 1	\( 5^{8}\cdot 79^{4}\cdot 149^{2} \)	16T1868	Trivial
16.0.337785448547265625.2	x¹⁶ + 6x¹⁴ - 3x¹³ + 13x¹² - 2x¹¹ + 14x¹⁰ + 5x⁹ + 11x⁸ + 5x⁷ + 14x⁶ - 2x⁵ + 13x⁴ - 3x³ + 6x² + 1	\( 5^{8}\cdot 79^{4}\cdot 149^{2} \)	16T1868	Trivial
16.4.2171968537600000000.1	x¹⁶ + 3x¹⁴ - x¹² - 10x¹⁰ - 4x⁸ + 9x⁶ + 3x⁴ - 3x² + 1	\( 2^{16}\cdot 5^{8}\cdot 61^{2}\cdot 151^{2} \)	16T1868	Trivial
16.4.2171968537600000000.2	x¹⁶ + 3x¹⁴ + 3x¹² - 2x¹⁰ - 7x⁸ - 7x⁶ - 3x⁴ + 1	\( 2^{16}\cdot 5^{8}\cdot 61^{2}\cdot 151^{2} \)	16T1868	Trivial
16.0.18153053209600000000.1	x¹⁶ + 2x¹⁴ + 12x¹⁰ + 15x⁸ + 9x⁶ + 12x⁴ + 7x² + 1	\( 2^{16}\cdot 5^{8}\cdot 31^{2}\cdot 859^{2} \)	16T1868	Trivial
16.4.18153053209600000000.1	x¹⁶ + 2x¹⁴ + x¹² - 4x¹⁰ - 6x⁸ + 23x⁶ - 21x⁴ + 4x² + 1	\( 2^{16}\cdot 5^{8}\cdot 31^{2}\cdot 859^{2} \)	16T1868	Trivial
16.8.18153053209600000000.1	x¹⁶ - 5x¹⁴ + 8x¹² - x¹⁰ - 17x⁸ + 11x⁶ + 7x⁴ - 6x² + 1	\( 2^{16}\cdot 5^{8}\cdot 31^{2}\cdot 859^{2} \)	16T1868	Trivial
16.0.18153053209600000000.2	x¹⁶ + 5x¹⁴ + 8x¹² + x¹⁰ - 17x⁸ - 11x⁶ + 7x⁴ + 6x² + 1	\( 2^{16}\cdot 5^{8}\cdot 31^{2}\cdot 859^{2} \)	16T1868	Trivial
16.4.18153053209600000000.2	x¹⁶ - x¹⁴ + x¹⁰ - 5x⁸ + 8x⁶ - 12x⁴ + 6x² + 1	\( 2^{16}\cdot 5^{8}\cdot 31^{2}\cdot 859^{2} \)	16T1868	Trivial
16.8.18153053209600000000.2	x¹⁶ - 2x¹⁴ - 12x¹⁰ + 15x⁸ - 9x⁶ + 12x⁴ - 7x² + 1	\( 2^{16}\cdot 5^{8}\cdot 31^{2}\cdot 859^{2} \)	16T1868	Trivial
16.8.52950353794125390625.1	x¹⁶ - x¹⁵ - 10x¹⁴ + 18x¹³ + 13x¹² - 62x¹¹ + 58x¹⁰ + 15x⁹ - 63x⁸ + 15x⁷ + 58x⁶ - 62x⁵ + 13x⁴ + 18x³ - 10x² - x + 1	\( 5^{8}\cdot 11^{2}\cdot 439^{2}\cdot 2411^{2} \)	16T1868	Trivial
16.8.52950353794125390625.2	x¹⁶ - 5x¹⁵ + 6x¹⁴ + 8x¹³ - 26x¹² + 8x¹¹ + 48x¹⁰ - 54x⁹ - 25x⁸ + 105x⁷ - 41x⁶ - 114x⁵ + 64x⁴ + 65x³ - 38x² - 4x + 1	\( 5^{8}\cdot 11^{2}\cdot 439^{2}\cdot 2411^{2} \)	16T1868	Trivial
16.0.98585041000000000000.1	x¹⁶ + 7x¹⁴ + 15x¹² + 12x¹⁰ + 4x⁸ + 3x⁶ + 10x⁴ + 8x² + 1	\( 2^{12}\cdot 5^{12}\cdot 9929^{2} \)	16T1868	$[2]$
16.4.98585041000000000000.1	x¹⁶ - 2x¹⁴ - 9x¹² + 34x¹⁰ - 36x⁸ + 7x⁶ + 4x⁴ + x² + 1	\( 2^{12}\cdot 5^{12}\cdot 9929^{2} \)	16T1868	Trivial
16.8.98585041000000000000.1	x¹⁶ + x¹⁴ - 11x¹² - 13x¹⁰ + 49x⁸ - 11x⁶ + 6x⁴ - 7x² + 1	\( 2^{12}\cdot 5^{12}\cdot 9929^{2} \)	16T1868	Trivial
16.4.98585041000000000000.2	x¹⁶ - 3x¹⁴ - 2x¹² + 9x¹⁰ - 15x⁸ + 34x⁶ - 37x⁴ - 13x² + 1	\( 2^{12}\cdot 5^{12}\cdot 9929^{2} \)	16T1868	Trivial
16.0.367725112345600000000.1	x¹⁶ + 8x¹⁴ + 26x¹² + 55x¹⁰ + 103x⁸ + 147x⁶ + 115x⁴ + 35x² + 1	\( 2^{16}\cdot 5^{8}\cdot 119851^{2} \)	16T1868	Trivial
16.12.367725112345600000000.1	x¹⁶ - 8x¹⁴ + 26x¹² - 55x¹⁰ + 103x⁸ - 147x⁶ + 115x⁴ - 35x² + 1	\( 2^{16}\cdot 5^{8}\cdot 119851^{2} \)	16T1868	Trivial (GRH)
16.4.367725112345600000000.1	x¹⁶ + 4x¹⁴ - x¹² - 15x¹⁰ - 12x⁸ - 9x⁶ + 10x⁴ + 20x² + 1	\( 2^{16}\cdot 5^{8}\cdot 119851^{2} \)	16T1868	Trivial
16.8.367725112345600000000.1	x¹⁶ - 4x¹⁴ - x¹² + 15x¹⁰ - 12x⁸ + 9x⁶ + 10x⁴ - 20x² + 1	\( 2^{16}\cdot 5^{8}\cdot 119851^{2} \)	16T1868	Trivial
16.4.367725112345600000000.2	x¹⁶ + 3x¹⁴ - 2x¹² - 17x¹⁰ - 17x⁸ + 13x⁶ + 27x⁴ + 10x² + 1	\( 2^{16}\cdot 5^{8}\cdot 119851^{2} \)	16T1868	Trivial
16.8.367725112345600000000.2	x¹⁶ - x¹⁴ - 7x¹² + 5x¹⁰ + 15x⁸ - 2x⁶ - 20x⁴ + 7x² + 1	\( 2^{16}\cdot 5^{8}\cdot 119851^{2} \)	16T1868	Trivial
16.4.367725112345600000000.3	x¹⁶ - 3x¹² + 3x¹⁰ + 3x⁸ - 7x⁶ - 2x⁴ + 3x² + 1	\( 2^{16}\cdot 5^{8}\cdot 119851^{2} \)	16T1868	Trivial
16.8.367725112345600000000.3	x¹⁶ - 7x¹² + x¹⁰ + 8x⁸ + 4x⁶ - 3x⁴ - 4x² + 1	\( 2^{16}\cdot 5^{8}\cdot 119851^{2} \)	16T1868	Trivial
16.0.466359573529600000000.1	x¹⁶ + 8x¹⁴ + 21x¹² + 17x¹⁰ - 5x⁸ - 2x⁶ + 11x⁴ + 7x² + 1	\( 2^{16}\cdot 5^{8}\cdot 71^{2}\cdot 1901^{2} \)	16T1868	Trivial
16.12.466359573529600000000.1	x¹⁶ - 8x¹⁴ + 21x¹² - 17x¹⁰ - 5x⁸ + 2x⁶ + 11x⁴ - 7x² + 1	\( 2^{16}\cdot 5^{8}\cdot 71^{2}\cdot 1901^{2} \)	16T1868	Trivial (GRH)
16.4.466359573529600000000.1	x¹⁶ + x¹⁴ - 11x¹² - 29x¹⁰ - 20x⁸ + 16x⁶ + 29x⁴ + 11x² + 1	\( 2^{16}\cdot 5^{8}\cdot 71^{2}\cdot 1901^{2} \)	16T1868	Trivial
16.8.466359573529600000000.1	x¹⁶ - x¹⁴ - 11x¹² + 29x¹⁰ - 20x⁸ - 16x⁶ + 29x⁴ - 11x² + 1	\( 2^{16}\cdot 5^{8}\cdot 71^{2}\cdot 1901^{2} \)	16T1868	Trivial
16.0.1577360656000000000000.1	x¹⁶ + 4x¹⁴ + 5x¹² + 6x¹⁰ + 19x⁸ + 41x⁶ + 40x⁴ + 14x² + 1	\( 2^{16}\cdot 5^{12}\cdot 9929^{2} \)	16T1868	$[2]$
16.8.1577360656000000000000.1	x¹⁶ - 5x¹⁴ + 13x¹² - 40x¹⁰ + 89x⁸ - 95x⁶ + 52x⁴ - 20x² + 1	\( 2^{16}\cdot 5^{12}\cdot 9929^{2} \)	16T1868	Trivial
16.12.28678961869849600000000.1	x¹⁶ - 2x¹⁴ - 12x¹² + 29x¹⁰ + 18x⁸ - 87x⁶ + 67x⁴ - 16x² + 1	\( 2^{16}\cdot 5^{8}\cdot 439^{2}\cdot 2411^{2} \)	16T1868	Trivial (GRH)
16.4.28678961869849600000000.1	x¹⁶ + 6x¹⁴ + 3x¹² - 43x¹⁰ - 94x⁸ - 49x⁶ + 24x⁴ + 20x² + 1	\( 2^{16}\cdot 5^{8}\cdot 439^{2}\cdot 2411^{2} \)	16T1868	Trivial
16.12.28678961869849600000000.2	x¹⁶ - 6x¹⁴ + 3x¹² + 43x¹⁰ - 94x⁸ + 49x⁶ + 24x⁴ - 20x² + 1	\( 2^{16}\cdot 5^{8}\cdot 439^{2}\cdot 2411^{2} \)	16T1868	Trivial (GRH)
16.4.28678961869849600000000.2	x¹⁶ + 5x¹⁴ - 6x¹² - 64x¹⁰ - 89x⁸ + 7x⁶ + 73x⁴ + 31x² + 1	\( 2^{16}\cdot 5^{8}\cdot 439^{2}\cdot 2411^{2} \)	16T1868	Trivial
16.0.69876989027353600000000.1	x¹⁶ + 15x¹⁴ + 87x¹² + 251x¹⁰ + 384x⁸ + 306x⁶ + 117x⁴ + 19x² + 1	\( 2^{16}\cdot 5^{8}\cdot 1652141^{2} \)	16T1868	$[12]$
16.16.69876989027353600000000.1	x¹⁶ - 15x¹⁴ + 87x¹² - 251x¹⁰ + 384x⁸ - 306x⁶ + 117x⁴ - 19x² + 1	\( 2^{16}\cdot 5^{8}\cdot 1652141^{2} \)	16T1868	Trivial (GRH)
16.0.113799786888217600000000.1	x¹⁶ + 16x¹⁴ + 96x¹² + 282x¹⁰ + 441x⁸ + 367x⁶ + 151x⁴ + 26x² + 1	\( 2^{16}\cdot 5^{8}\cdot 2108389^{2} \)	16T1868	$[12]$
16.16.113799786888217600000000.1	x¹⁶ - 16x¹⁴ + 96x¹² - 282x¹⁰ + 441x⁸ - 367x⁶ + 151x⁴ - 26x² + 1	\( 2^{16}\cdot 5^{8}\cdot 2108389^{2} \)	16T1868	Trivial (GRH)
16.8.103904411484402647065600000000.1	x¹⁶ + 10x¹⁴ - 932x¹² + 2709x¹⁰ + 158873x⁸ - 957329x⁶ - 2576433x⁴ + 4105599x² + 1585081	\( 2^{16}\cdot 5^{8}\cdot 31^{2}\cdot 41^{2}\cdot 1259^{4} \)	16T1868	Trivial (GRH)
16.8.103904411484402647065600000000.2	x¹⁶ - 10x¹⁴ - 932x¹² - 2709x¹⁰ + 158873x⁸ + 957329x⁶ - 2576433x⁴ - 4105599x² + 1585081	\( 2^{16}\cdot 5^{8}\cdot 31^{2}\cdot 41^{2}\cdot 1259^{4} \)	16T1868	Trivial (GRH)