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Results (displaying all 35 matches)

Label	Polynomial	Discriminant	Galois group	Class group
16.0.17233040296355625.1	x¹⁶ - x¹⁵ + 7x¹³ - 4x¹² - 6x¹¹ + 13x¹⁰ + 2x⁹ - 15x⁸ + 2x⁷ + 13x⁶ - 6x⁵ - 4x⁴ + 7x³ - x + 1	$ 3^{14}\cdot 5^{4}\cdot 7^{8} $	$C_8:C_2^2$ (as 16T35)	Trivial
16.0.26843545600000000.1	x¹⁶ + 6x¹² + 7x⁸ + 14x⁴ + 1	$ 2^{36}\cdot 5^{8} $	$C_8:C_2^2$ (as 16T35)	Trivial
16.0.285727024783360000.1	x¹⁶ - 2x¹⁵ + 2x¹⁴ - 2x¹³ - 5x¹² - 2x¹¹ - 9x¹⁰ + 32x⁹ + 48x⁸ - 14x⁷ - 17x⁶ + 6x⁵ - 13x⁴ - 10x³ + 5x² + 4x + 1	$ 2^{16}\cdot 5^{4}\cdot 17^{8} $	$C_8:C_2^2$ (as 16T35)	Trivial
16.0.328683126924509184.2	x¹⁶ + 6x¹² + 87x⁸ + 54x⁴ + 9	$ 2^{36}\cdot 3^{14} $	$C_8:C_2^2$ (as 16T35)	Trivial
16.0.1807015246179139584.1	x¹⁶ - 3x¹⁴ + 9x¹² - 12x¹⁰ + 21x⁸ - 18x⁶ + 36x⁴ - 18x² + 9	$ 2^{16}\cdot 3^{14}\cdot 7^{8} $	$C_8:C_2^2$ (as 16T35)	Trivial
16.0.1872540629620228096.4	x¹⁶ + 6x¹² + x⁸ + 44x⁴ + 16	$ 2^{28}\cdot 17^{8} $	$C_8:C_2^2$ (as 16T35)	Trivial
16.0.3600290211480797184.1	x¹⁶ + 4x¹⁴ - 14x¹⁰ - 14x⁸ + 49x⁴ + 46x² + 9	$ 2^{16}\cdot 3^{4}\cdot 7^{14} $	$C_8:C_2^2$ (as 16T35)	Trivial
16.0.5258930030792146944.5	x¹⁶ - 6x¹⁴ + 24x¹² - 60x¹⁰ + 111x⁸ - 108x⁶ + 72x⁴ + 18x² + 9	$ 2^{40}\cdot 3^{14} $	$C_8:C_2^2$ (as 16T35)	Trivial
16.0.6338465731314712576.10	x¹⁶ - 8x¹⁴ + 14x¹² + 12x¹⁰ + 45x⁸ + 92x⁶ + 56x⁴ + 8x² + 4	$ 2^{40}\cdot 7^{8} $	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.16777216000000000000.4	x¹⁶ - 8x¹⁵ + 42x¹⁴ - 144x¹³ + 398x¹² - 820x¹¹ + 1426x¹⁰ - 1812x⁹ + 1963x⁸ - 1204x⁷ + 634x⁶ + 328x⁵ - 32x⁴ + 32x³ + 28x² + 8x + 1	$ 2^{36}\cdot 5^{12} $	$C_8:C_2^2$ (as 16T35)	$[2]$ (GRH)
16.0.20882706457600000000.1	x¹⁶ - 2x¹⁵ - 7x¹⁴ + 2x¹³ + 34x¹² + 44x¹¹ - 49x¹⁰ - 170x⁹ - 89x⁸ + 182x⁷ + 495x⁶ + 678x⁵ + 632x⁴ + 466x³ + 239x² + 80x + 25	$ 2^{16}\cdot 5^{8}\cdot 13^{8} $	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.31345665638400000000.1	x¹⁶ - 6x¹⁵ + 23x¹⁴ - 54x¹³ + 94x¹² - 108x¹¹ + 89x¹⁰ - 36x⁹ + 19x⁸ - 36x⁷ + 89x⁶ - 108x⁵ + 94x⁴ - 54x³ + 23x² - 6x + 1	$ 2^{24}\cdot 3^{14}\cdot 5^{8} $	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.56056588304600006656.2	x¹⁶ + 20x¹² + 134x⁸ + 340x⁴ + 81	$ 2^{36}\cdot 13^{8} $	$C_8:C_2^2$ (as 16T35)	Trivial (GRH)
16.0.109951162777600000000.4	x¹⁶ + 3x⁸ + 1	$ 2^{48}\cdot 5^{8} $	$C_8:C_2^2$ (as 16T35)	Trivial (GRH)
16.0.162447943996702457856.17	x¹⁶ - 4x¹⁴ + 20x¹² - 16x¹⁰ + 92x⁸ - 160x⁶ + 208x⁴ - 192x² + 144	$ 2^{32}\cdot 3^{8}\cdot 7^{8} $	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.182059119829942534144.3	x¹⁶ - 8x¹⁵ + 32x¹⁴ - 84x¹³ + 175x¹² - 280x¹¹ + 336x¹⁰ - 232x⁹ + 8x⁸ + 136x⁷ - 224x⁵ + 252x⁴ - 112x³ + 32x² - 32x + 16	$ 2^{28}\cdot 7^{14} $	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.242955289244629794816.1	x¹⁶ - 3x¹⁴ - 8x¹² + 21x¹⁰ + 33x⁸ - 48x⁶ - 56x⁴ + 48x² + 16	$ 2^{16}\cdot 3^{12}\cdot 17^{8} $	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.671846400000000000000.2	x¹⁶ - 8x¹⁴ - 10x¹³ + 33x¹² + 60x¹¹ - 31x¹⁰ - 240x⁹ - 60x⁸ + 380x⁷ + 469x⁶ - 300x⁵ - 627x⁴ - 180x³ + 387x² + 270x + 81	$ 2^{24}\cdot 3^{8}\cdot 5^{14} $	$C_8:C_2^2$ (as 16T35)	$[4]$
16.0.671846400000000000000.3	x¹⁶ - 8x¹⁴ + 33x¹² - 86x¹⁰ + 180x⁸ - 296x⁶ + 368x⁴ - 288x² + 256	$ 2^{24}\cdot 3^{8}\cdot 5^{14} $	$C_8:C_2^2$ (as 16T35)	$[4]$
16.0.891610044825600000000.12	x¹⁶ - 4x¹⁵ + 2x¹⁴ + 28x¹³ - 106x¹² + 136x¹¹ + 102x¹⁰ - 588x⁹ + 1150x⁸ - 1908x⁷ + 3030x⁶ - 4196x⁵ + 4622x⁴ - 3632x³ + 1970x² - 676x + 169	$ 2^{32}\cdot 3^{12}\cdot 5^{8} $	$C_8:C_2^2$ (as 16T35)	$[4]$
16.0.1622647227216566419456.6	x¹⁶ + 8x¹² + 13x⁸ - 12x⁴ + 4	$ 2^{48}\cdot 7^{8} $	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.1891079497931380752384.3	x¹⁶ - 8x¹⁴ + 8x¹² + 40x¹⁰ + 14x⁸ + 40x⁶ + 88x⁴ + 24x² + 9	$ 2^{58}\cdot 3^{8} $	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.1891079497931380752384.7	x¹⁶ - 16x¹⁴ + 104x¹² - 352x¹⁰ + 670x⁸ - 752x⁶ + 536x⁴ - 224x² + 121	$ 2^{58}\cdot 3^{8} $	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.1911245314971754561536.4	x¹⁶ - 4x¹⁵ + 6x¹⁴ - 14x¹³ + 9x¹² + 48x¹¹ - 23x¹⁰ + 34x⁹ - 60x⁸ - 64x⁷ + 193x⁶ + 72x⁵ - 42x⁴ + 56x³ + 12x² - 32x + 64	$ 2^{24}\cdot 3^{12}\cdot 11^{8} $	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.1913187600000000000000.1	x¹⁶ - 8x¹⁵ + 32x¹⁴ - 84x¹³ + 146x¹² - 148x¹¹ + 40x¹⁰ + 108x⁹ - 101x⁸ - 156x⁷ + 520x⁶ - 716x⁵ + 626x⁴ - 372x³ + 128x² - 16x + 1	$ 2^{16}\cdot 3^{14}\cdot 5^{14} $	$C_8:C_2^2$ (as 16T35)	$[8]$
16.0.1913187600000000000000.4	x¹⁶ - 4x¹⁵ + 8x¹⁴ - 18x¹³ + 41x¹² - 74x¹¹ + 130x¹⁰ - 324x⁹ + 664x⁸ - 648x⁷ + 520x⁶ - 592x⁵ + 656x⁴ - 576x³ + 512x² - 512x + 256	$ 2^{16}\cdot 3^{14}\cdot 5^{14} $	$C_8:C_2^2$ (as 16T35)	$[8]$
16.0.2599167103947239325696.2	x¹⁶ - 4x¹⁴ + 2x¹² - 16x¹⁰ + 119x⁸ - 304x⁶ + 442x⁴ + 60x² + 9	$ 2^{36}\cdot 3^{8}\cdot 7^{8} $	$C_8:C_2^2$ (as 16T35)	$[2]$ (GRH)
16.0.2727455511590988742656.1	x¹⁶ - 6x¹⁵ + 23x¹⁴ - 42x¹³ + 27x¹² + 102x¹¹ - 193x¹⁰ - 156x⁹ + 1408x⁸ - 2820x⁷ + 3249x⁶ - 2136x⁵ + 795x⁴ - 108x³ + 9x² - 18x + 9	$ 2^{16}\cdot 3^{12}\cdot 23^{8} $	$C_8:C_2^2$ (as 16T35)	$[6]$
16.0.3525688174246906640625.3	x¹⁶ - 7x¹⁵ + 26x¹⁴ - 64x¹³ + 112x¹² - 125x¹¹ + 116x¹⁰ - 221x⁹ + 724x⁸ - 1662x⁷ + 2781x⁶ - 3018x⁵ + 3021x⁴ - 1494x³ + 1260x² + 90x + 99	$ 3^{12}\cdot 5^{8}\cdot 19^{8} $	$C_8:C_2^2$ (as 16T35)	$[4]$
16.8.17201207834745791053824.1	x¹⁶ - 4x¹⁵ - 6x¹⁴ + 22x¹³ + 29x¹² - 24x¹¹ - 152x¹⁰ + 14x⁹ + 276x⁸ + 14x⁷ - 152x⁶ - 24x⁵ + 29x⁴ + 22x³ - 6x² - 4x + 1	$ 2^{24}\cdot 3^{14}\cdot 11^{8} $	$C_8:C_2^2$ (as 16T35)	Trivial (GRH)
16.8.22986704741655040229376.1	x¹⁶ - 8x¹⁵ + 12x¹⁴ + 56x¹³ - 236x¹² + 324x¹¹ - 34x¹⁰ - 512x⁹ + 963x⁸ - 1220x⁷ + 1094x⁶ - 504x⁵ + 62x⁴ - 36x³ - 14x² + 52x + 13	$ 2^{32}\cdot 3^{8}\cdot 13^{8} $	$C_8:C_2^2$ (as 16T35)	Trivial
16.0.275219325355932656861184.1	x¹⁶ + 30x¹⁴ + 354x¹² + 2100x¹⁰ + 6567x⁸ + 10188x⁶ + 6426x⁴ + 1386x² + 9	$ 2^{28}\cdot 3^{14}\cdot 11^{8} $	$C_8:C_2^2$ (as 16T35)	$[2, 2, 2]$
16.16.275219325355932656861184.1	x¹⁶ - 2x¹⁵ - 28x¹⁴ + 54x¹³ + 284x¹² - 478x¹¹ - 1424x¹⁰ + 1722x⁹ + 4078x⁸ - 2262x⁷ - 6500x⁶ - 686x⁵ + 4148x⁴ + 2838x³ + 704x² + 62x + 1	$ 2^{28}\cdot 3^{14}\cdot 11^{8} $	$C_8:C_2^2$ (as 16T35)	Trivial (GRH)
16.0.5884596413863690298720256.1	x¹⁶ + 18x¹⁴ + 120x¹² + 372x¹⁰ + 551x⁸ + 372x⁶ + 120x⁴ + 18x² + 1	$ 2^{40}\cdot 3^{8}\cdot 13^{8} $	$C_8:C_2^2$ (as 16T35)	$[6, 6]$ (GRH)
16.16.5884596413863690298720256.1	x¹⁶ - 18x¹⁴ + 120x¹² - 372x¹⁰ + 551x⁸ - 372x⁶ + 120x⁴ - 18x² + 1	$ 2^{40}\cdot 3^{8}\cdot 13^{8} $	$C_8:C_2^2$ (as 16T35)	Trivial (GRH)

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Results (displaying all 35 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
16.0.17233040296355625.1	x¹⁶ - x¹⁵ + 7x¹³ - 4x¹² - 6x¹¹ + 13x¹⁰ + 2x⁹ - 15x⁸ + 2x⁷ + 13x⁶ - 6x⁵ - 4x⁴ + 7x³ - x + 1	\( 3^{14}\cdot 5^{4}\cdot 7^{8} \)	$C_8:C_2^2$ (as 16T35)	Trivial
16.0.26843545600000000.1	x¹⁶ + 6x¹² + 7x⁸ + 14x⁴ + 1	\( 2^{36}\cdot 5^{8} \)	$C_8:C_2^2$ (as 16T35)	Trivial
16.0.285727024783360000.1	x¹⁶ - 2x¹⁵ + 2x¹⁴ - 2x¹³ - 5x¹² - 2x¹¹ - 9x¹⁰ + 32x⁹ + 48x⁸ - 14x⁷ - 17x⁶ + 6x⁵ - 13x⁴ - 10x³ + 5x² + 4x + 1	\( 2^{16}\cdot 5^{4}\cdot 17^{8} \)	$C_8:C_2^2$ (as 16T35)	Trivial
16.0.328683126924509184.2	x¹⁶ + 6x¹² + 87x⁸ + 54x⁴ + 9	\( 2^{36}\cdot 3^{14} \)	$C_8:C_2^2$ (as 16T35)	Trivial
16.0.1807015246179139584.1	x¹⁶ - 3x¹⁴ + 9x¹² - 12x¹⁰ + 21x⁸ - 18x⁶ + 36x⁴ - 18x² + 9	\( 2^{16}\cdot 3^{14}\cdot 7^{8} \)	$C_8:C_2^2$ (as 16T35)	Trivial
16.0.1872540629620228096.4	x¹⁶ + 6x¹² + x⁸ + 44x⁴ + 16	\( 2^{28}\cdot 17^{8} \)	$C_8:C_2^2$ (as 16T35)	Trivial
16.0.3600290211480797184.1	x¹⁶ + 4x¹⁴ - 14x¹⁰ - 14x⁸ + 49x⁴ + 46x² + 9	\( 2^{16}\cdot 3^{4}\cdot 7^{14} \)	$C_8:C_2^2$ (as 16T35)	Trivial
16.0.5258930030792146944.5	x¹⁶ - 6x¹⁴ + 24x¹² - 60x¹⁰ + 111x⁸ - 108x⁶ + 72x⁴ + 18x² + 9	\( 2^{40}\cdot 3^{14} \)	$C_8:C_2^2$ (as 16T35)	Trivial
16.0.6338465731314712576.10	x¹⁶ - 8x¹⁴ + 14x¹² + 12x¹⁰ + 45x⁸ + 92x⁶ + 56x⁴ + 8x² + 4	\( 2^{40}\cdot 7^{8} \)	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.16777216000000000000.4	x¹⁶ - 8x¹⁵ + 42x¹⁴ - 144x¹³ + 398x¹² - 820x¹¹ + 1426x¹⁰ - 1812x⁹ + 1963x⁸ - 1204x⁷ + 634x⁶ + 328x⁵ - 32x⁴ + 32x³ + 28x² + 8x + 1	\( 2^{36}\cdot 5^{12} \)	$C_8:C_2^2$ (as 16T35)	$[2]$ (GRH)
16.0.20882706457600000000.1	x¹⁶ - 2x¹⁵ - 7x¹⁴ + 2x¹³ + 34x¹² + 44x¹¹ - 49x¹⁰ - 170x⁹ - 89x⁸ + 182x⁷ + 495x⁶ + 678x⁵ + 632x⁴ + 466x³ + 239x² + 80x + 25	\( 2^{16}\cdot 5^{8}\cdot 13^{8} \)	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.31345665638400000000.1	x¹⁶ - 6x¹⁵ + 23x¹⁴ - 54x¹³ + 94x¹² - 108x¹¹ + 89x¹⁰ - 36x⁹ + 19x⁸ - 36x⁷ + 89x⁶ - 108x⁵ + 94x⁴ - 54x³ + 23x² - 6x + 1	\( 2^{24}\cdot 3^{14}\cdot 5^{8} \)	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.56056588304600006656.2	x¹⁶ + 20x¹² + 134x⁸ + 340x⁴ + 81	\( 2^{36}\cdot 13^{8} \)	$C_8:C_2^2$ (as 16T35)	Trivial (GRH)
16.0.109951162777600000000.4	x¹⁶ + 3x⁸ + 1	\( 2^{48}\cdot 5^{8} \)	$C_8:C_2^2$ (as 16T35)	Trivial (GRH)
16.0.162447943996702457856.17	x¹⁶ - 4x¹⁴ + 20x¹² - 16x¹⁰ + 92x⁸ - 160x⁶ + 208x⁴ - 192x² + 144	\( 2^{32}\cdot 3^{8}\cdot 7^{8} \)	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.182059119829942534144.3	x¹⁶ - 8x¹⁵ + 32x¹⁴ - 84x¹³ + 175x¹² - 280x¹¹ + 336x¹⁰ - 232x⁹ + 8x⁸ + 136x⁷ - 224x⁵ + 252x⁴ - 112x³ + 32x² - 32x + 16	\( 2^{28}\cdot 7^{14} \)	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.242955289244629794816.1	x¹⁶ - 3x¹⁴ - 8x¹² + 21x¹⁰ + 33x⁸ - 48x⁶ - 56x⁴ + 48x² + 16	\( 2^{16}\cdot 3^{12}\cdot 17^{8} \)	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.671846400000000000000.2	x¹⁶ - 8x¹⁴ - 10x¹³ + 33x¹² + 60x¹¹ - 31x¹⁰ - 240x⁹ - 60x⁸ + 380x⁷ + 469x⁶ - 300x⁵ - 627x⁴ - 180x³ + 387x² + 270x + 81	\( 2^{24}\cdot 3^{8}\cdot 5^{14} \)	$C_8:C_2^2$ (as 16T35)	$[4]$
16.0.671846400000000000000.3	x¹⁶ - 8x¹⁴ + 33x¹² - 86x¹⁰ + 180x⁸ - 296x⁶ + 368x⁴ - 288x² + 256	\( 2^{24}\cdot 3^{8}\cdot 5^{14} \)	$C_8:C_2^2$ (as 16T35)	$[4]$
16.0.891610044825600000000.12	x¹⁶ - 4x¹⁵ + 2x¹⁴ + 28x¹³ - 106x¹² + 136x¹¹ + 102x¹⁰ - 588x⁹ + 1150x⁸ - 1908x⁷ + 3030x⁶ - 4196x⁵ + 4622x⁴ - 3632x³ + 1970x² - 676x + 169	\( 2^{32}\cdot 3^{12}\cdot 5^{8} \)	$C_8:C_2^2$ (as 16T35)	$[4]$
16.0.1622647227216566419456.6	x¹⁶ + 8x¹² + 13x⁸ - 12x⁴ + 4	\( 2^{48}\cdot 7^{8} \)	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.1891079497931380752384.3	x¹⁶ - 8x¹⁴ + 8x¹² + 40x¹⁰ + 14x⁸ + 40x⁶ + 88x⁴ + 24x² + 9	\( 2^{58}\cdot 3^{8} \)	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.1891079497931380752384.7	x¹⁶ - 16x¹⁴ + 104x¹² - 352x¹⁰ + 670x⁸ - 752x⁶ + 536x⁴ - 224x² + 121	\( 2^{58}\cdot 3^{8} \)	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.1911245314971754561536.4	x¹⁶ - 4x¹⁵ + 6x¹⁴ - 14x¹³ + 9x¹² + 48x¹¹ - 23x¹⁰ + 34x⁹ - 60x⁸ - 64x⁷ + 193x⁶ + 72x⁵ - 42x⁴ + 56x³ + 12x² - 32x + 64	\( 2^{24}\cdot 3^{12}\cdot 11^{8} \)	$C_8:C_2^2$ (as 16T35)	$[2]$
16.0.1913187600000000000000.1	x¹⁶ - 8x¹⁵ + 32x¹⁴ - 84x¹³ + 146x¹² - 148x¹¹ + 40x¹⁰ + 108x⁹ - 101x⁸ - 156x⁷ + 520x⁶ - 716x⁵ + 626x⁴ - 372x³ + 128x² - 16x + 1	\( 2^{16}\cdot 3^{14}\cdot 5^{14} \)	$C_8:C_2^2$ (as 16T35)	$[8]$
16.0.1913187600000000000000.4	x¹⁶ - 4x¹⁵ + 8x¹⁴ - 18x¹³ + 41x¹² - 74x¹¹ + 130x¹⁰ - 324x⁹ + 664x⁸ - 648x⁷ + 520x⁶ - 592x⁵ + 656x⁴ - 576x³ + 512x² - 512x + 256	\( 2^{16}\cdot 3^{14}\cdot 5^{14} \)	$C_8:C_2^2$ (as 16T35)	$[8]$
16.0.2599167103947239325696.2	x¹⁶ - 4x¹⁴ + 2x¹² - 16x¹⁰ + 119x⁸ - 304x⁶ + 442x⁴ + 60x² + 9	\( 2^{36}\cdot 3^{8}\cdot 7^{8} \)	$C_8:C_2^2$ (as 16T35)	$[2]$ (GRH)
16.0.2727455511590988742656.1	x¹⁶ - 6x¹⁵ + 23x¹⁴ - 42x¹³ + 27x¹² + 102x¹¹ - 193x¹⁰ - 156x⁹ + 1408x⁸ - 2820x⁷ + 3249x⁶ - 2136x⁵ + 795x⁴ - 108x³ + 9x² - 18x + 9	\( 2^{16}\cdot 3^{12}\cdot 23^{8} \)	$C_8:C_2^2$ (as 16T35)	$[6]$
16.0.3525688174246906640625.3	x¹⁶ - 7x¹⁵ + 26x¹⁴ - 64x¹³ + 112x¹² - 125x¹¹ + 116x¹⁰ - 221x⁹ + 724x⁸ - 1662x⁷ + 2781x⁶ - 3018x⁵ + 3021x⁴ - 1494x³ + 1260x² + 90x + 99	\( 3^{12}\cdot 5^{8}\cdot 19^{8} \)	$C_8:C_2^2$ (as 16T35)	$[4]$
16.8.17201207834745791053824.1	x¹⁶ - 4x¹⁵ - 6x¹⁴ + 22x¹³ + 29x¹² - 24x¹¹ - 152x¹⁰ + 14x⁹ + 276x⁸ + 14x⁷ - 152x⁶ - 24x⁵ + 29x⁴ + 22x³ - 6x² - 4x + 1	\( 2^{24}\cdot 3^{14}\cdot 11^{8} \)	$C_8:C_2^2$ (as 16T35)	Trivial (GRH)
16.8.22986704741655040229376.1	x¹⁶ - 8x¹⁵ + 12x¹⁴ + 56x¹³ - 236x¹² + 324x¹¹ - 34x¹⁰ - 512x⁹ + 963x⁸ - 1220x⁷ + 1094x⁶ - 504x⁵ + 62x⁴ - 36x³ - 14x² + 52x + 13	\( 2^{32}\cdot 3^{8}\cdot 13^{8} \)	$C_8:C_2^2$ (as 16T35)	Trivial
16.0.275219325355932656861184.1	x¹⁶ + 30x¹⁴ + 354x¹² + 2100x¹⁰ + 6567x⁸ + 10188x⁶ + 6426x⁴ + 1386x² + 9	\( 2^{28}\cdot 3^{14}\cdot 11^{8} \)	$C_8:C_2^2$ (as 16T35)	$[2, 2, 2]$
16.16.275219325355932656861184.1	x¹⁶ - 2x¹⁵ - 28x¹⁴ + 54x¹³ + 284x¹² - 478x¹¹ - 1424x¹⁰ + 1722x⁹ + 4078x⁸ - 2262x⁷ - 6500x⁶ - 686x⁵ + 4148x⁴ + 2838x³ + 704x² + 62x + 1	\( 2^{28}\cdot 3^{14}\cdot 11^{8} \)	$C_8:C_2^2$ (as 16T35)	Trivial (GRH)
16.0.5884596413863690298720256.1	x¹⁶ + 18x¹⁴ + 120x¹² + 372x¹⁰ + 551x⁸ + 372x⁶ + 120x⁴ + 18x² + 1	\( 2^{40}\cdot 3^{8}\cdot 13^{8} \)	$C_8:C_2^2$ (as 16T35)	$[6, 6]$ (GRH)
16.16.5884596413863690298720256.1	x¹⁶ - 18x¹⁴ + 120x¹² - 372x¹⁰ + 551x⁸ - 372x⁶ + 120x⁴ - 18x² + 1	\( 2^{40}\cdot 3^{8}\cdot 13^{8} \)	$C_8:C_2^2$ (as 16T35)	Trivial (GRH)