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Results (displaying all 41 matches)

Label	Polynomial	Discriminant	Galois group	Class group
16.0.253100755517440000.1	x¹⁶ - 2x¹⁴ - x¹² + 21x⁸ - x⁴ - 2x² + 1	$ 2^{24}\cdot 5^{4}\cdot 17^{6} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.0.253100755517440000.2	x¹⁶ - 6x¹⁴ + 13x¹² - 16x¹⁰ + 26x⁸ - 42x⁶ + 32x⁴ - 8x² + 1	$ 2^{24}\cdot 5^{4}\cdot 17^{6} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.0.269062009266015625.1	x¹⁶ - 2x¹⁵ + 6x¹⁴ - 11x¹³ + 20x¹² - 34x¹¹ + 56x¹⁰ - 74x⁹ + 72x⁸ - 59x⁷ + 39x⁶ - 14x⁵ + 2x⁴ - 2x² + 1	$ 5^{8}\cdot 11^{4}\cdot 19^{6} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.4.269062009266015625.1	x¹⁶ - 5x¹⁵ + 12x¹⁴ - 15x¹³ + 7x¹² + 7x¹¹ - 9x¹⁰ - 7x⁹ + 17x⁸ + 7x⁷ - 21x⁶ - 2x⁵ + 10x⁴ + 3x³ - 6x² - x + 1	$ 5^{8}\cdot 11^{4}\cdot 19^{6} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.0.468135157405057024.1	x¹⁶ - 3x¹² + 7x⁸ - 5x⁴ + 16	$ 2^{26}\cdot 17^{8} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.4.1204374553600000000.3	x¹⁶ + x¹⁴ + 3x¹² - 6x¹⁰ + 8x⁸ - 17x⁶ + 17x⁴ - 7x² + 1	$ 2^{16}\cdot 5^{8}\cdot 19^{6} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.4.1872540629620228096.1	x¹⁶ - 8x¹⁴ + 31x¹² - 74x¹⁰ + 121x⁸ - 140x⁶ + 104x⁴ - 40x² + 4	$ 2^{28}\cdot 17^{8} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.0.1872540629620228096.3	x¹⁶ + 8x¹⁴ + 31x¹² + 74x¹⁰ + 121x⁸ + 140x⁶ + 104x⁴ + 40x² + 4	$ 2^{28}\cdot 17^{8} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.0.2844673747342852096.1	x¹⁶ + x¹⁴ - 7x¹² - 14x¹⁰ + 42x⁸ - 14x⁶ - 7x⁴ + x² + 1	$ 2^{22}\cdot 7^{14} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.0.7490162518480912384.1	x¹⁶ - 2x¹⁵ - 3x¹⁴ + 10x¹³ - 26x¹¹ + 15x¹⁰ + 30x⁹ - 41x⁸ - 36x⁷ + 52x⁶ + 76x⁵ + 52x⁴ + 40x³ + 30x² + 12x + 2	$ 2^{30}\cdot 17^{8} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.4.7490162518480912384.1	x¹⁶ - 2x¹⁵ - 2x¹⁴ + 7x¹² - 8x¹¹ - 4x¹⁰ - 14x⁹ + 30x⁸ + 14x⁷ - 28x⁶ - 24x⁵ + 63x⁴ - 60x³ + 34x² - 10x + 1	$ 2^{30}\cdot 17^{8} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.0.11378694989371408384.1	x¹⁶ - x¹⁴ - 7x¹² + 14x¹⁰ + 42x⁸ + 14x⁶ - 7x⁴ - x² + 1	$ 2^{24}\cdot 7^{14} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.4.29960650073923649536.1	x¹⁶ - 8x¹⁴ + 9x¹² + 20x¹⁰ - 60x⁸ + 20x⁶ + 9x⁴ - 8x² + 1	$ 2^{32}\cdot 17^{8} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.0.29960650073923649536.6	x¹⁶ + 3x¹² + 7x⁸ + 5x⁴ + 16	$ 2^{32}\cdot 17^{8} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.0.33115249535031967744.1	x¹⁶ - 8x¹⁴ - 8x¹³ + 24x¹² + 40x¹¹ - 20x¹⁰ - 64x⁹ + 32x⁸ + 72x⁷ - 24x⁶ - 32x⁵ + 20x⁴ + 16x³ + 12x² + 1	$ 2^{48}\cdot 7^{6} $	$(C_2\times D_8):C_2$ (as 16T126)	$[2]$
16.4.33115249535031967744.1	x¹⁶ - 8x¹⁴ + 20x¹² - 24x¹¹ - 28x¹⁰ + 48x⁹ + 2x⁸ - 48x⁷ + 32x⁶ + 40x⁵ - 16x⁴ + 16x² + 8x - 2	$ 2^{48}\cdot 7^{6} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.0.33115249535031967744.2	x¹⁶ - 24x¹¹ - 12x¹⁰ + 24x⁹ + 16x⁸ + 64x⁷ + 48x⁶ - 40x⁵ + 4x⁴ + 40x³ + 28x² + 8x + 1	$ 2^{48}\cdot 7^{6} $	$(C_2\times D_8):C_2$ (as 16T126)	$[2]$
16.4.33115249535031967744.2	x¹⁶ - 8x¹⁴ + 24x¹² - 8x¹¹ - 12x¹⁰ - 24x⁹ + 72x⁷ - 40x⁶ + 8x⁵ - 12x⁴ - 16x³ + 4x² + 8x + 1	$ 2^{48}\cdot 7^{6} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.0.45514779957485633536.1	x¹⁶ - 8x¹⁵ + 38x¹⁴ - 126x¹³ + 322x¹² - 658x¹¹ + 1106x¹⁰ - 1548x⁹ + 1842x⁸ - 1886x⁷ + 1666x⁶ - 1246x⁵ + 763x⁴ - 364x³ + 122x² - 24x + 2	$ 2^{26}\cdot 7^{14} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.0.45514779957485633536.2	x¹⁶ + 4x¹⁴ + 7x¹² + 7x⁸ - 28x⁶ + 49x⁴ - 24x² + 16	$ 2^{26}\cdot 7^{14} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.4.119842600295694598144.1	x¹⁶ - 4x¹⁴ - 4x¹³ + 2x¹² - 12x¹¹ - 34x¹⁰ - 36x⁹ + 111x⁸ - 144x⁷ + 58x⁶ - 16x⁵ - 20x⁴ + 52x³ - 44x² + 16x - 2	$ 2^{34}\cdot 17^{8} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.0.182059119829942534144.1	x¹⁶ - 6x¹⁵ + 19x¹⁴ - 42x¹³ + 63x¹² - 56x¹¹ - 14x¹⁰ + 120x⁹ - 139x⁸ + 82x⁷ + 35x⁶ + 42x⁵ + 7x⁴ - 28x³ + 124x² - 16x + 4	$ 2^{28}\cdot 7^{14} $	$(C_2\times D_8):C_2$ (as 16T126)	$[2]$
16.0.182059119829942534144.4	x¹⁶ + 3x¹⁴ + 7x¹² - 35x¹⁰ + 84x⁸ - 84x⁶ + 84x⁴ - 60x² + 16	$ 2^{28}\cdot 7^{14} $	$(C_2\times D_8):C_2$ (as 16T126)	$[2]$
16.0.728236479319770136576.1	x¹⁶ - 6x¹⁴ + 28x¹² + 14x¹⁰ + 182x⁸ + 14x⁶ + 28x⁴ - 6x² + 1	$ 2^{30}\cdot 7^{14} $	$(C_2\times D_8):C_2$ (as 16T126)	$[2]$ (GRH)
16.4.1622647227216566419456.3	x¹⁶ - 8x¹⁴ - 24x¹³ - 32x¹² + 16x¹¹ + 164x¹⁰ + 400x⁹ + 560x⁸ + 536x⁷ + 248x⁶ - 56x⁵ - 140x⁴ - 40x³ + 12x² + 8x + 1	$ 2^{48}\cdot 7^{8} $	$(C_2\times D_8):C_2$ (as 16T126)	$[2]$
16.0.1622647227216566419456.4	x¹⁶ + 8x¹⁴ - 16x¹³ + 32x¹² - 48x¹¹ + 76x¹⁰ - 8x⁹ + 272x⁸ + 152x⁷ + 312x⁶ + 160x⁵ + 212x⁴ + 40x³ + 52x² + 1	$ 2^{48}\cdot 7^{8} $	$(C_2\times D_8):C_2$ (as 16T126)	$[2, 2]$
16.4.1622647227216566419456.4	x¹⁶ - 8x¹⁴ - 16x¹³ + 36x¹² + 96x¹¹ + 12x¹⁰ - 192x⁹ - 254x⁸ - 120x⁷ + 104x⁶ + 400x⁵ + 192x⁴ - 336x³ - 216x² + 168x + 14	$ 2^{48}\cdot 7^{8} $	$(C_2\times D_8):C_2$ (as 16T126)	$[2]$ (GRH)
16.0.1622647227216566419456.14	x¹⁶ - 8x¹³ + 16x¹² - 32x¹¹ + 124x¹⁰ - 248x⁹ + 360x⁸ - 520x⁷ + 792x⁶ - 1072x⁵ + 1324x⁴ - 1256x³ + 1044x² - 616x + 329	$ 2^{48}\cdot 7^{8} $	$(C_2\times D_8):C_2$ (as 16T126)	$[2, 2]$
16.0.2912945917279080546304.2	x¹⁶ - 4x¹⁴ + 7x¹² + 7x⁸ + 28x⁶ + 49x⁴ + 24x² + 16	$ 2^{32}\cdot 7^{14} $	$(C_2\times D_8):C_2$ (as 16T126)	$[2, 2]$
16.0.6070983017558297265625.1	x¹⁶ - 5x¹⁵ + 18x¹⁴ - 35x¹³ + 53x¹² - 43x¹¹ + 37x¹⁰ - 7x⁹ + 77x⁸ + 247x⁷ + 235x⁶ + 424x⁵ + 284x⁴ + 225x³ + 160x² + 25x + 25	$ 5^{8}\cdot 11^{4}\cdot 101^{6} $	$(C_2\times D_8):C_2$ (as 16T126)	$[2]$ (GRH)
16.0.6070983017558297265625.2	x¹⁶ - 4x¹⁵ + 3x¹⁴ + 11x¹³ - 7x¹² - 61x¹¹ + 143x¹⁰ - 156x⁹ + 181x⁸ - 390x⁷ + 875x⁶ - 1125x⁵ + 475x⁴ + 125x³ + 625x² - 1250x + 625	$ 5^{8}\cdot 11^{4}\cdot 101^{6} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.8.111503231120842197827584.2	x¹⁶ - 9x¹⁴ + 14x¹² + 5x¹⁰ - 6x⁸ + 5x⁶ + 14x⁴ - 9x² + 1	$ 2^{22}\cdot 113^{8} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.0.293278528764541359765625.1	x¹⁶ - 4x¹⁵ + x¹⁴ + 20x¹³ - 25x¹² - 38x¹¹ + 79x¹⁰ - 239x⁹ + 468x⁸ + 687x⁷ - 525x⁶ - 311x⁵ + 3649x⁴ - 3362x³ + 2858x² - 867x + 619	$ 5^{8}\cdot 29^{4}\cdot 101^{6} $	$(C_2\times D_8):C_2$ (as 16T126)	$[6]$ (GRH)
16.0.293278528764541359765625.2	x¹⁶ + 4x¹⁴ + 38x¹² - 39x¹⁰ + 193x⁸ - 1193x⁶ + 3357x⁴ - 4583x² + 3481	$ 5^{8}\cdot 29^{4}\cdot 101^{6} $	$(C_2\times D_8):C_2$ (as 16T126)	$[6]$ (GRH)
16.8.446012924483368791310336.1	x¹⁶ - 4x¹⁵ - 8x¹⁴ + 42x¹³ - 31x¹² - 90x¹¹ + 362x¹⁰ - 98x⁹ - 631x⁸ + 324x⁷ + 244x⁶ + 40x⁵ - 82x⁴ - 104x³ - 4x² + 32x + 8	$ 2^{24}\cdot 113^{8} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.0.578334114838183066455625.1	x¹⁶ + 27x¹⁴ + 258x¹² + 1135x¹⁰ + 2396x⁸ + 2254x⁶ + 824x⁴ + 59x² + 1	$ 5^{4}\cdot 13^{6}\cdot 61^{8} $	$(C_2\times D_8):C_2$ (as 16T126)	$[3]$ (GRH)
16.0.578334114838183066455625.2	x¹⁶ - 5x¹⁵ + 10x¹⁴ - 8x¹³ - 16x¹² + 35x¹¹ + 34x¹⁰ - 179x⁹ + 732x⁸ - 1266x⁷ + 1501x⁶ - 1788x⁵ + 1217x⁴ - 564x³ + 558x² + 304x + 47	$ 5^{4}\cdot 13^{6}\cdot 61^{8} $	$(C_2\times D_8):C_2$ (as 16T126)	$[2]$ (GRH)
16.0.2917334596740186766311424.1	x¹⁶ - 2x¹⁵ + 13x¹⁴ - 2x¹³ + 112x¹² + 14x¹¹ + 717x¹⁰ + 278x⁹ + 1607x⁸ + 532x⁷ + 1526x⁶ + 464x⁵ + 528x⁴ + 32x³ + 88x² + 16	$ 2^{24}\cdot 17^{4}\cdot 113^{6} $	$(C_2\times D_8):C_2$ (as 16T126)	$[28]$ (GRH)
16.0.2917334596740186766311424.2	x¹⁶ - 2x¹⁵ + 19x¹⁴ - 38x¹³ + 168x¹² - 170x¹¹ + 499x¹⁰ + 46x⁹ + 879x⁸ - 256x⁷ + 1002x⁶ + 328x⁵ + 560x⁴ + 176x³ + 168x² + 32x + 16	$ 2^{24}\cdot 17^{4}\cdot 113^{6} $	$(C_2\times D_8):C_2$ (as 16T126)	$[2, 16]$ (GRH)
16.16.115475024204800508391015625.1	x¹⁶ - 44x¹⁴ + 674x¹² - 4981x¹⁰ + 19969x⁸ - 44829x⁶ + 54594x⁴ - 32076x² + 6561	$ 5^{8}\cdot 29^{6}\cdot 89^{6} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.16.115475024204800508391015625.2	x¹⁶ - 4x¹⁵ - 43x¹⁴ + 83x¹³ + 787x¹² + 56x¹¹ - 5588x¹⁰ - 6656x⁹ + 13315x⁸ + 32571x⁷ + 8499x⁶ - 37717x⁵ - 48548x⁴ - 25668x³ - 6413x² - 675x - 19	$ 5^{8}\cdot 29^{6}\cdot 89^{6} $	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)

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Results (displaying all 41 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
16.0.253100755517440000.1	x¹⁶ - 2x¹⁴ - x¹² + 21x⁸ - x⁴ - 2x² + 1	\( 2^{24}\cdot 5^{4}\cdot 17^{6} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.0.253100755517440000.2	x¹⁶ - 6x¹⁴ + 13x¹² - 16x¹⁰ + 26x⁸ - 42x⁶ + 32x⁴ - 8x² + 1	\( 2^{24}\cdot 5^{4}\cdot 17^{6} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.0.269062009266015625.1	x¹⁶ - 2x¹⁵ + 6x¹⁴ - 11x¹³ + 20x¹² - 34x¹¹ + 56x¹⁰ - 74x⁹ + 72x⁸ - 59x⁷ + 39x⁶ - 14x⁵ + 2x⁴ - 2x² + 1	\( 5^{8}\cdot 11^{4}\cdot 19^{6} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.4.269062009266015625.1	x¹⁶ - 5x¹⁵ + 12x¹⁴ - 15x¹³ + 7x¹² + 7x¹¹ - 9x¹⁰ - 7x⁹ + 17x⁸ + 7x⁷ - 21x⁶ - 2x⁵ + 10x⁴ + 3x³ - 6x² - x + 1	\( 5^{8}\cdot 11^{4}\cdot 19^{6} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.0.468135157405057024.1	x¹⁶ - 3x¹² + 7x⁸ - 5x⁴ + 16	\( 2^{26}\cdot 17^{8} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.4.1204374553600000000.3	x¹⁶ + x¹⁴ + 3x¹² - 6x¹⁰ + 8x⁸ - 17x⁶ + 17x⁴ - 7x² + 1	\( 2^{16}\cdot 5^{8}\cdot 19^{6} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.4.1872540629620228096.1	x¹⁶ - 8x¹⁴ + 31x¹² - 74x¹⁰ + 121x⁸ - 140x⁶ + 104x⁴ - 40x² + 4	\( 2^{28}\cdot 17^{8} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.0.1872540629620228096.3	x¹⁶ + 8x¹⁴ + 31x¹² + 74x¹⁰ + 121x⁸ + 140x⁶ + 104x⁴ + 40x² + 4	\( 2^{28}\cdot 17^{8} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.0.2844673747342852096.1	x¹⁶ + x¹⁴ - 7x¹² - 14x¹⁰ + 42x⁸ - 14x⁶ - 7x⁴ + x² + 1	\( 2^{22}\cdot 7^{14} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.0.7490162518480912384.1	x¹⁶ - 2x¹⁵ - 3x¹⁴ + 10x¹³ - 26x¹¹ + 15x¹⁰ + 30x⁹ - 41x⁸ - 36x⁷ + 52x⁶ + 76x⁵ + 52x⁴ + 40x³ + 30x² + 12x + 2	\( 2^{30}\cdot 17^{8} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.4.7490162518480912384.1	x¹⁶ - 2x¹⁵ - 2x¹⁴ + 7x¹² - 8x¹¹ - 4x¹⁰ - 14x⁹ + 30x⁸ + 14x⁷ - 28x⁶ - 24x⁵ + 63x⁴ - 60x³ + 34x² - 10x + 1	\( 2^{30}\cdot 17^{8} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.0.11378694989371408384.1	x¹⁶ - x¹⁴ - 7x¹² + 14x¹⁰ + 42x⁸ + 14x⁶ - 7x⁴ - x² + 1	\( 2^{24}\cdot 7^{14} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.4.29960650073923649536.1	x¹⁶ - 8x¹⁴ + 9x¹² + 20x¹⁰ - 60x⁸ + 20x⁶ + 9x⁴ - 8x² + 1	\( 2^{32}\cdot 17^{8} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.0.29960650073923649536.6	x¹⁶ + 3x¹² + 7x⁸ + 5x⁴ + 16	\( 2^{32}\cdot 17^{8} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.0.33115249535031967744.1	x¹⁶ - 8x¹⁴ - 8x¹³ + 24x¹² + 40x¹¹ - 20x¹⁰ - 64x⁹ + 32x⁸ + 72x⁷ - 24x⁶ - 32x⁵ + 20x⁴ + 16x³ + 12x² + 1	\( 2^{48}\cdot 7^{6} \)	$(C_2\times D_8):C_2$ (as 16T126)	$[2]$
16.4.33115249535031967744.1	x¹⁶ - 8x¹⁴ + 20x¹² - 24x¹¹ - 28x¹⁰ + 48x⁹ + 2x⁸ - 48x⁷ + 32x⁶ + 40x⁵ - 16x⁴ + 16x² + 8x - 2	\( 2^{48}\cdot 7^{6} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.0.33115249535031967744.2	x¹⁶ - 24x¹¹ - 12x¹⁰ + 24x⁹ + 16x⁸ + 64x⁷ + 48x⁶ - 40x⁵ + 4x⁴ + 40x³ + 28x² + 8x + 1	\( 2^{48}\cdot 7^{6} \)	$(C_2\times D_8):C_2$ (as 16T126)	$[2]$
16.4.33115249535031967744.2	x¹⁶ - 8x¹⁴ + 24x¹² - 8x¹¹ - 12x¹⁰ - 24x⁹ + 72x⁷ - 40x⁶ + 8x⁵ - 12x⁴ - 16x³ + 4x² + 8x + 1	\( 2^{48}\cdot 7^{6} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial
16.0.45514779957485633536.1	x¹⁶ - 8x¹⁵ + 38x¹⁴ - 126x¹³ + 322x¹² - 658x¹¹ + 1106x¹⁰ - 1548x⁹ + 1842x⁸ - 1886x⁷ + 1666x⁶ - 1246x⁵ + 763x⁴ - 364x³ + 122x² - 24x + 2	\( 2^{26}\cdot 7^{14} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.0.45514779957485633536.2	x¹⁶ + 4x¹⁴ + 7x¹² + 7x⁸ - 28x⁶ + 49x⁴ - 24x² + 16	\( 2^{26}\cdot 7^{14} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.4.119842600295694598144.1	x¹⁶ - 4x¹⁴ - 4x¹³ + 2x¹² - 12x¹¹ - 34x¹⁰ - 36x⁹ + 111x⁸ - 144x⁷ + 58x⁶ - 16x⁵ - 20x⁴ + 52x³ - 44x² + 16x - 2	\( 2^{34}\cdot 17^{8} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.0.182059119829942534144.1	x¹⁶ - 6x¹⁵ + 19x¹⁴ - 42x¹³ + 63x¹² - 56x¹¹ - 14x¹⁰ + 120x⁹ - 139x⁸ + 82x⁷ + 35x⁶ + 42x⁵ + 7x⁴ - 28x³ + 124x² - 16x + 4	\( 2^{28}\cdot 7^{14} \)	$(C_2\times D_8):C_2$ (as 16T126)	$[2]$
16.0.182059119829942534144.4	x¹⁶ + 3x¹⁴ + 7x¹² - 35x¹⁰ + 84x⁸ - 84x⁶ + 84x⁴ - 60x² + 16	\( 2^{28}\cdot 7^{14} \)	$(C_2\times D_8):C_2$ (as 16T126)	$[2]$
16.0.728236479319770136576.1	x¹⁶ - 6x¹⁴ + 28x¹² + 14x¹⁰ + 182x⁸ + 14x⁶ + 28x⁴ - 6x² + 1	\( 2^{30}\cdot 7^{14} \)	$(C_2\times D_8):C_2$ (as 16T126)	$[2]$ (GRH)
16.4.1622647227216566419456.3	x¹⁶ - 8x¹⁴ - 24x¹³ - 32x¹² + 16x¹¹ + 164x¹⁰ + 400x⁹ + 560x⁸ + 536x⁷ + 248x⁶ - 56x⁵ - 140x⁴ - 40x³ + 12x² + 8x + 1	\( 2^{48}\cdot 7^{8} \)	$(C_2\times D_8):C_2$ (as 16T126)	$[2]$
16.0.1622647227216566419456.4	x¹⁶ + 8x¹⁴ - 16x¹³ + 32x¹² - 48x¹¹ + 76x¹⁰ - 8x⁹ + 272x⁸ + 152x⁷ + 312x⁶ + 160x⁵ + 212x⁴ + 40x³ + 52x² + 1	\( 2^{48}\cdot 7^{8} \)	$(C_2\times D_8):C_2$ (as 16T126)	$[2, 2]$
16.4.1622647227216566419456.4	x¹⁶ - 8x¹⁴ - 16x¹³ + 36x¹² + 96x¹¹ + 12x¹⁰ - 192x⁹ - 254x⁸ - 120x⁷ + 104x⁶ + 400x⁵ + 192x⁴ - 336x³ - 216x² + 168x + 14	\( 2^{48}\cdot 7^{8} \)	$(C_2\times D_8):C_2$ (as 16T126)	$[2]$ (GRH)
16.0.1622647227216566419456.14	x¹⁶ - 8x¹³ + 16x¹² - 32x¹¹ + 124x¹⁰ - 248x⁹ + 360x⁸ - 520x⁷ + 792x⁶ - 1072x⁵ + 1324x⁴ - 1256x³ + 1044x² - 616x + 329	\( 2^{48}\cdot 7^{8} \)	$(C_2\times D_8):C_2$ (as 16T126)	$[2, 2]$
16.0.2912945917279080546304.2	x¹⁶ - 4x¹⁴ + 7x¹² + 7x⁸ + 28x⁶ + 49x⁴ + 24x² + 16	\( 2^{32}\cdot 7^{14} \)	$(C_2\times D_8):C_2$ (as 16T126)	$[2, 2]$
16.0.6070983017558297265625.1	x¹⁶ - 5x¹⁵ + 18x¹⁴ - 35x¹³ + 53x¹² - 43x¹¹ + 37x¹⁰ - 7x⁹ + 77x⁸ + 247x⁷ + 235x⁶ + 424x⁵ + 284x⁴ + 225x³ + 160x² + 25x + 25	\( 5^{8}\cdot 11^{4}\cdot 101^{6} \)	$(C_2\times D_8):C_2$ (as 16T126)	$[2]$ (GRH)
16.0.6070983017558297265625.2	x¹⁶ - 4x¹⁵ + 3x¹⁴ + 11x¹³ - 7x¹² - 61x¹¹ + 143x¹⁰ - 156x⁹ + 181x⁸ - 390x⁷ + 875x⁶ - 1125x⁵ + 475x⁴ + 125x³ + 625x² - 1250x + 625	\( 5^{8}\cdot 11^{4}\cdot 101^{6} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.8.111503231120842197827584.2	x¹⁶ - 9x¹⁴ + 14x¹² + 5x¹⁰ - 6x⁸ + 5x⁶ + 14x⁴ - 9x² + 1	\( 2^{22}\cdot 113^{8} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.0.293278528764541359765625.1	x¹⁶ - 4x¹⁵ + x¹⁴ + 20x¹³ - 25x¹² - 38x¹¹ + 79x¹⁰ - 239x⁹ + 468x⁸ + 687x⁷ - 525x⁶ - 311x⁵ + 3649x⁴ - 3362x³ + 2858x² - 867x + 619	\( 5^{8}\cdot 29^{4}\cdot 101^{6} \)	$(C_2\times D_8):C_2$ (as 16T126)	$[6]$ (GRH)
16.0.293278528764541359765625.2	x¹⁶ + 4x¹⁴ + 38x¹² - 39x¹⁰ + 193x⁸ - 1193x⁶ + 3357x⁴ - 4583x² + 3481	\( 5^{8}\cdot 29^{4}\cdot 101^{6} \)	$(C_2\times D_8):C_2$ (as 16T126)	$[6]$ (GRH)
16.8.446012924483368791310336.1	x¹⁶ - 4x¹⁵ - 8x¹⁴ + 42x¹³ - 31x¹² - 90x¹¹ + 362x¹⁰ - 98x⁹ - 631x⁸ + 324x⁷ + 244x⁶ + 40x⁵ - 82x⁴ - 104x³ - 4x² + 32x + 8	\( 2^{24}\cdot 113^{8} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.0.578334114838183066455625.1	x¹⁶ + 27x¹⁴ + 258x¹² + 1135x¹⁰ + 2396x⁸ + 2254x⁶ + 824x⁴ + 59x² + 1	\( 5^{4}\cdot 13^{6}\cdot 61^{8} \)	$(C_2\times D_8):C_2$ (as 16T126)	$[3]$ (GRH)
16.0.578334114838183066455625.2	x¹⁶ - 5x¹⁵ + 10x¹⁴ - 8x¹³ - 16x¹² + 35x¹¹ + 34x¹⁰ - 179x⁹ + 732x⁸ - 1266x⁷ + 1501x⁶ - 1788x⁵ + 1217x⁴ - 564x³ + 558x² + 304x + 47	\( 5^{4}\cdot 13^{6}\cdot 61^{8} \)	$(C_2\times D_8):C_2$ (as 16T126)	$[2]$ (GRH)
16.0.2917334596740186766311424.1	x¹⁶ - 2x¹⁵ + 13x¹⁴ - 2x¹³ + 112x¹² + 14x¹¹ + 717x¹⁰ + 278x⁹ + 1607x⁸ + 532x⁷ + 1526x⁶ + 464x⁵ + 528x⁴ + 32x³ + 88x² + 16	\( 2^{24}\cdot 17^{4}\cdot 113^{6} \)	$(C_2\times D_8):C_2$ (as 16T126)	$[28]$ (GRH)
16.0.2917334596740186766311424.2	x¹⁶ - 2x¹⁵ + 19x¹⁴ - 38x¹³ + 168x¹² - 170x¹¹ + 499x¹⁰ + 46x⁹ + 879x⁸ - 256x⁷ + 1002x⁶ + 328x⁵ + 560x⁴ + 176x³ + 168x² + 32x + 16	\( 2^{24}\cdot 17^{4}\cdot 113^{6} \)	$(C_2\times D_8):C_2$ (as 16T126)	$[2, 16]$ (GRH)
16.16.115475024204800508391015625.1	x¹⁶ - 44x¹⁴ + 674x¹² - 4981x¹⁰ + 19969x⁸ - 44829x⁶ + 54594x⁴ - 32076x² + 6561	\( 5^{8}\cdot 29^{6}\cdot 89^{6} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)
16.16.115475024204800508391015625.2	x¹⁶ - 4x¹⁵ - 43x¹⁴ + 83x¹³ + 787x¹² + 56x¹¹ - 5588x¹⁰ - 6656x⁹ + 13315x⁸ + 32571x⁷ + 8499x⁶ - 37717x⁵ - 48548x⁴ - 25668x³ - 6413x² - 675x - 19	\( 5^{8}\cdot 29^{6}\cdot 89^{6} \)	$(C_2\times D_8):C_2$ (as 16T126)	Trivial (GRH)