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Results (displaying all 28 matches)

Label	Polynomial	Discriminant	Galois group	Class group
16.0.6288261618073600000000.4	x¹⁶ - 4x¹⁵ + 12x¹⁴ - 44x¹³ + 70x¹² - 64x¹¹ + 52x¹⁰ - 244x⁹ + 1455x⁸ - 2536x⁷ + 3884x⁶ - 4308x⁵ + 4554x⁴ - 956x³ + 1208x² - 48x + 89	$ 2^{40}\cdot 5^{8}\cdot 11^{4} $	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial (GRH)
16.0.6288261618073600000000.5	x¹⁶ - 4x¹⁵ + 8x¹⁴ - 20x¹³ + 46x¹² + 16x¹¹ - 456x¹⁰ + 1364x⁹ - 1197x⁸ - 3256x⁷ + 9944x⁶ - 7652x⁵ - 4598x⁴ + 8284x³ + 8x² - 3656x + 1249	$ 2^{40}\cdot 5^{8}\cdot 11^{4} $	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial (GRH)
16.0.7638368632008213528576.3	x¹⁶ - 20x¹⁴ - 16x¹³ + 134x¹² + 192x¹¹ - 292x¹⁰ - 584x⁹ + 484x⁸ + 1888x⁷ + 1852x⁶ + 864x⁵ + 270x⁴ + 128x³ + 76x² + 24x + 3	$ 2^{40}\cdot 3^{10}\cdot 7^{6} $	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial
16.0.7638368632008213528576.4	x¹⁶ - 8x¹⁴ - 16x¹³ + 16x¹² + 56x¹¹ + 96x¹⁰ - 68x⁹ - 111x⁸ + 144x⁷ + 620x⁶ + 1028x⁵ + 980x⁴ + 568x³ + 212x² + 52x + 7	$ 2^{40}\cdot 3^{10}\cdot 7^{6} $	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial
16.4.28754676988519032815616.1	x¹⁶ - 4x¹⁵ + 18x¹⁴ - 32x¹³ + 86x¹² - 80x¹¹ + 132x¹⁰ - 32x⁹ - 122x⁸ + 252x⁷ - 720x⁶ + 624x⁵ - 920x⁴ + 672x³ - 224x² + 40x - 2	$ 2^{38}\cdot 3^{10}\cdot 11^{6} $	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial (GRH)
16.4.50529860740710400000000.3	x¹⁶ - 6x¹⁴ + 3x¹² + 22x¹⁰ - 34x⁸ - 14x⁶ + 77x⁴ + 98x² + 49	$ 2^{40}\cdot 5^{8}\cdot 7^{6} $	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial (GRH)
16.8.64698023224167823835136.4	x¹⁶ - 4x¹⁵ - 2x¹⁴ + 24x¹³ + 48x¹² - 328x¹¹ + 222x¹⁰ + 972x⁹ - 1718x⁸ + 188x⁷ + 1654x⁶ - 1400x⁵ + 120x⁴ + 168x³ - 34x² - 4x + 1	$ 2^{36}\cdot 3^{12}\cdot 11^{6} $	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial (GRH)
16.8.78345218527771024687104.1	x¹⁶ - 10x¹⁴ - 24x¹³ + 18x¹² + 140x¹¹ + 136x¹⁰ - 32x⁹ + 10x⁸ + 4x⁷ - 524x⁶ - 752x⁵ - 164x⁴ + 240x³ + 104x² - 8x - 2	$ 2^{38}\cdot 3^{10}\cdot 13^{6} $	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial (GRH)
16.4.2475963176294809600000000.1	x¹⁶ - 2x¹⁴ - 67x¹² + 154x¹⁰ - 42x⁸ - 6762x⁶ - 13573x⁴ - 7546x² + 2401	$ 2^{40}\cdot 5^{8}\cdot 7^{8} $	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2]$ (GRH)
16.4.2475963176294809600000000.2	x¹⁶ + 2x¹⁴ - 67x¹² - 154x¹⁰ - 42x⁸ + 6762x⁶ - 13573x⁴ + 7546x² + 2401	$ 2^{40}\cdot 5^{8}\cdot 7^{8} $	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial (GRH)
16.0.6504492482542510154973184.1	x¹⁶ - 4x¹⁵ + 2x¹⁴ + 4x¹³ + 296x¹² - 1864x¹¹ + 5248x¹⁰ - 8112x⁹ + 12608x⁸ - 31988x⁷ + 70802x⁶ - 81008x⁵ + 118945x⁴ - 211004x³ + 272884x² + 158848x + 31688	$ 2^{32}\cdot 17^{6}\cdot 89^{4} $	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2]$ (GRH)
16.0.6504492482542510154973184.2	x¹⁶ - 4x¹⁵ + 30x¹⁴ - 108x¹³ + 377x¹² - 1448x¹¹ + 4186x¹⁰ - 15124x⁹ + 39301x⁸ - 102396x⁷ + 224334x⁶ - 383132x⁵ + 716343x⁴ - 709592x³ + 1267074x² - 494628x + 1187794	$ 2^{32}\cdot 17^{6}\cdot 89^{4} $	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2]$ (GRH)
16.0.9177836710508849627398144.1	x¹⁶ - 4x¹⁵ + 44x¹³ - 228x¹² + 380x¹¹ + 950x¹⁰ - 3616x⁹ + 869x⁸ - 988x⁷ + 35626x⁶ - 28944x⁵ - 113236x⁴ - 132104x³ + 1265966x² - 1918932x + 932249	$ 2^{32}\cdot 17^{6}\cdot 97^{4} $	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2]$ (GRH)
16.0.9177836710508849627398144.2	x¹⁶ - 4x¹⁵ - 26x¹⁴ + 184x¹³ + 396x¹² - 2848x¹¹ + 2946x¹⁰ + 17832x⁹ - 47271x⁸ - 15272x⁷ + 220534x⁶ - 233928x⁵ - 214944x⁴ + 709236x³ - 220724x² - 560472x + 738433	$ 2^{32}\cdot 17^{6}\cdot 97^{4} $	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2]$ (GRH)
16.0.9177836710508849627398144.3	x¹⁶ - 4x¹⁵ - 40x¹³ + 132x¹² + 584x¹¹ - 1202x¹⁰ - 3900x⁹ + 8925x⁸ + 5144x⁷ - 40238x⁶ + 15732x⁵ + 140344x⁴ - 72900x³ - 138942x² + 161516x + 162641	$ 2^{32}\cdot 17^{6}\cdot 97^{4} $	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2]$ (GRH)
16.0.104071879720680162479570944.3	x¹⁶ - 4x¹⁵ + 66x¹⁴ - 324x¹³ + 2798x¹² - 13200x¹¹ + 73000x¹⁰ - 289244x⁹ + 1145051x⁸ - 3647616x⁷ + 10775414x⁶ - 26323352x⁵ + 57244536x⁴ - 100180644x³ + 143123840x² - 135856912x + 77313634	$ 2^{36}\cdot 17^{6}\cdot 89^{4} $	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2, 2]$ (GRH)
16.0.104071879720680162479570944.4	x¹⁶ - 4x¹⁵ + 70x¹⁴ - 256x¹³ + 2272x¹² - 7772x¹¹ + 44064x¹⁰ - 129312x⁹ + 533146x⁸ - 1285200x⁷ + 3829968x⁶ - 6791264x⁵ + 14169936x⁴ - 15726656x³ + 21996912x² - 10335520x + 8602768	$ 2^{36}\cdot 17^{6}\cdot 89^{4} $	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2, 2]$ (GRH)
16.0.1283608060359000468473511936.3	x¹⁶ + 76x¹² + 1312x⁸ + 5304x⁴ + 6084	$ 2^{52}\cdot 3^{10}\cdot 13^{6} $	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 6]$ (GRH)
16.8.60215786657648562405359222784.3	x¹⁶ + 8x¹⁴ - 84x¹³ - 36x¹² - 136x¹¹ - 1490x¹⁰ + 3132x⁹ - 427x⁸ + 110184x⁷ - 58966x⁶ - 500820x⁵ + 1813396x⁴ - 2043696x³ - 8480970x² + 6366400x + 11840473	$ 2^{32}\cdot 3^{8}\cdot 17^{6}\cdot 97^{4} $	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial (GRH)
16.8.60215786657648562405359222784.4	x¹⁶ - 8x¹⁵ + 8x¹⁴ + 48x¹³ - 296x¹² + 1932x¹¹ - 3358x¹⁰ - 1816x⁹ + 18137x⁸ - 134932x⁷ + 148310x⁶ - 18480x⁵ + 371076x⁴ + 1685116x³ + 364190x² + 4480320x + 4071673	$ 2^{32}\cdot 3^{8}\cdot 17^{6}\cdot 97^{4} $	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial (GRH)
16.8.4877478719269533554834097045504.5	x¹⁶ - 4x¹⁵ + 28x¹⁴ + 248x¹³ - 1540x¹² + 1496x¹¹ + 9172x¹⁰ - 151076x⁹ + 203518x⁸ + 1537644x⁷ - 1696040x⁶ - 4482264x⁵ - 11490419x⁴ + 33646688x³ + 91050580x² - 247607232x + 123926857	$ 2^{32}\cdot 3^{12}\cdot 17^{6}\cdot 97^{4} $	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2]$ (GRH)
16.8.4877478719269533554834097045504.6	x¹⁶ - 4x¹⁵ + 26x¹⁴ - 120x¹³ - 1788x¹² - 3032x¹¹ - 26294x¹⁰ - 19168x⁹ + 444742x⁸ + 862764x⁷ + 1268508x⁶ - 236200x⁵ - 15979773x⁴ - 18086136x³ + 6854770x² + 37596416x + 26863609	$ 2^{32}\cdot 3^{12}\cdot 17^{6}\cdot 97^{4} $	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2]$ (GRH)
16.0.78039659508312536877345552728064.1	x¹⁶ - 8x¹⁵ + 166x¹⁴ - 968x¹³ + 10922x¹² - 48692x¹¹ + 381910x¹⁰ - 1294564x⁹ + 7667398x⁸ - 18508272x⁷ + 86507434x⁶ - 122570424x⁵ + 495625354x⁴ - 153572468x³ + 1237648906x² + 1155456948x + 1587808969	$ 2^{36}\cdot 3^{12}\cdot 17^{6}\cdot 97^{4} $	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2, 2, 2, 2, 5634]$ (GRH)
16.16.78039659508312536877345552728064.1	x¹⁶ - 4x¹⁵ - 150x¹⁴ + 540x¹³ + 8852x¹² - 28560x¹¹ - 269044x¹⁰ + 776384x⁹ + 4565499x⁸ - 11767196x⁷ - 43341016x⁶ + 99037596x⁵ + 213981992x⁴ - 423594144x³ - 435859146x² + 699011236x + 81973873	$ 2^{36}\cdot 3^{12}\cdot 17^{6}\cdot 97^{4} $	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2]$ (GRH)
16.0.78039659508312536877345552728064.2	x¹⁶ + 174x¹⁴ - 164x¹³ + 11648x¹² - 15708x¹¹ + 401124x¹⁰ - 506040x⁹ + 7714170x⁸ - 7237928x⁷ + 83714568x⁶ - 33396192x⁵ + 466924080x⁴ + 125673152x³ + 1316168472x² + 808621280x + 1171252804	$ 2^{36}\cdot 3^{12}\cdot 17^{6}\cdot 97^{4} $	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2, 2, 2, 2, 5926]$ (GRH)
16.16.78039659508312536877345552728064.2	x¹⁶ - 4x¹⁵ - 182x¹⁴ + 700x¹³ + 12152x¹² - 39964x¹¹ - 412012x¹⁰ + 1023064x⁹ + 7944082x⁸ - 12354512x⁷ - 88327192x⁶ + 55571216x⁵ + 523812272x⁴ + 109031296x³ - 1243401272x² - 1176794176x - 275536412	$ 2^{36}\cdot 3^{12}\cdot 17^{6}\cdot 97^{4} $	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2]$ (GRH)
16.0.45892197269607041217434019101147136.5	x¹⁶ - 8x¹⁵ - 52x¹⁴ + 144x¹³ + 3933x¹² - 1672x¹¹ - 21320x¹⁰ + 90376x⁹ + 1383262x⁸ - 1038000x⁷ - 1572804x⁶ + 4311208x⁵ + 112548612x⁴ - 16484472x³ - 541516688x² + 991021888x + 4376380753	$ 2^{32}\cdot 3^{12}\cdot 17^{6}\cdot 97^{6} $	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2, 2, 40]$ (GRH)
16.0.45892197269607041217434019101147136.6	x¹⁶ - 4x¹⁴ - 216x¹³ + 1031x¹² + 2844x¹¹ + 32918x¹⁰ - 112260x⁹ + 238438x⁸ - 27168x⁷ + 17814694x⁶ + 11516316x⁵ + 128950970x⁴ - 129903372x³ + 1191614404x² + 114227100x + 6079069441	$ 2^{32}\cdot 3^{12}\cdot 17^{6}\cdot 97^{6} $	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2, 2, 40]$ (GRH)

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Results (displaying all 28 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
16.0.6288261618073600000000.4	x¹⁶ - 4x¹⁵ + 12x¹⁴ - 44x¹³ + 70x¹² - 64x¹¹ + 52x¹⁰ - 244x⁹ + 1455x⁸ - 2536x⁷ + 3884x⁶ - 4308x⁵ + 4554x⁴ - 956x³ + 1208x² - 48x + 89	\( 2^{40}\cdot 5^{8}\cdot 11^{4} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial (GRH)
16.0.6288261618073600000000.5	x¹⁶ - 4x¹⁵ + 8x¹⁴ - 20x¹³ + 46x¹² + 16x¹¹ - 456x¹⁰ + 1364x⁹ - 1197x⁸ - 3256x⁷ + 9944x⁶ - 7652x⁵ - 4598x⁴ + 8284x³ + 8x² - 3656x + 1249	\( 2^{40}\cdot 5^{8}\cdot 11^{4} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial (GRH)
16.0.7638368632008213528576.3	x¹⁶ - 20x¹⁴ - 16x¹³ + 134x¹² + 192x¹¹ - 292x¹⁰ - 584x⁹ + 484x⁸ + 1888x⁷ + 1852x⁶ + 864x⁵ + 270x⁴ + 128x³ + 76x² + 24x + 3	\( 2^{40}\cdot 3^{10}\cdot 7^{6} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial
16.0.7638368632008213528576.4	x¹⁶ - 8x¹⁴ - 16x¹³ + 16x¹² + 56x¹¹ + 96x¹⁰ - 68x⁹ - 111x⁸ + 144x⁷ + 620x⁶ + 1028x⁵ + 980x⁴ + 568x³ + 212x² + 52x + 7	\( 2^{40}\cdot 3^{10}\cdot 7^{6} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial
16.4.28754676988519032815616.1	x¹⁶ - 4x¹⁵ + 18x¹⁴ - 32x¹³ + 86x¹² - 80x¹¹ + 132x¹⁰ - 32x⁹ - 122x⁸ + 252x⁷ - 720x⁶ + 624x⁵ - 920x⁴ + 672x³ - 224x² + 40x - 2	\( 2^{38}\cdot 3^{10}\cdot 11^{6} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial (GRH)
16.4.50529860740710400000000.3	x¹⁶ - 6x¹⁴ + 3x¹² + 22x¹⁰ - 34x⁸ - 14x⁶ + 77x⁴ + 98x² + 49	\( 2^{40}\cdot 5^{8}\cdot 7^{6} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial (GRH)
16.8.64698023224167823835136.4	x¹⁶ - 4x¹⁵ - 2x¹⁴ + 24x¹³ + 48x¹² - 328x¹¹ + 222x¹⁰ + 972x⁹ - 1718x⁸ + 188x⁷ + 1654x⁶ - 1400x⁵ + 120x⁴ + 168x³ - 34x² - 4x + 1	\( 2^{36}\cdot 3^{12}\cdot 11^{6} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial (GRH)
16.8.78345218527771024687104.1	x¹⁶ - 10x¹⁴ - 24x¹³ + 18x¹² + 140x¹¹ + 136x¹⁰ - 32x⁹ + 10x⁸ + 4x⁷ - 524x⁶ - 752x⁵ - 164x⁴ + 240x³ + 104x² - 8x - 2	\( 2^{38}\cdot 3^{10}\cdot 13^{6} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial (GRH)
16.4.2475963176294809600000000.1	x¹⁶ - 2x¹⁴ - 67x¹² + 154x¹⁰ - 42x⁸ - 6762x⁶ - 13573x⁴ - 7546x² + 2401	\( 2^{40}\cdot 5^{8}\cdot 7^{8} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2]$ (GRH)
16.4.2475963176294809600000000.2	x¹⁶ + 2x¹⁴ - 67x¹² - 154x¹⁰ - 42x⁸ + 6762x⁶ - 13573x⁴ + 7546x² + 2401	\( 2^{40}\cdot 5^{8}\cdot 7^{8} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial (GRH)
16.0.6504492482542510154973184.1	x¹⁶ - 4x¹⁵ + 2x¹⁴ + 4x¹³ + 296x¹² - 1864x¹¹ + 5248x¹⁰ - 8112x⁹ + 12608x⁸ - 31988x⁷ + 70802x⁶ - 81008x⁵ + 118945x⁴ - 211004x³ + 272884x² + 158848x + 31688	\( 2^{32}\cdot 17^{6}\cdot 89^{4} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2]$ (GRH)
16.0.6504492482542510154973184.2	x¹⁶ - 4x¹⁵ + 30x¹⁴ - 108x¹³ + 377x¹² - 1448x¹¹ + 4186x¹⁰ - 15124x⁹ + 39301x⁸ - 102396x⁷ + 224334x⁶ - 383132x⁵ + 716343x⁴ - 709592x³ + 1267074x² - 494628x + 1187794	\( 2^{32}\cdot 17^{6}\cdot 89^{4} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2]$ (GRH)
16.0.9177836710508849627398144.1	x¹⁶ - 4x¹⁵ + 44x¹³ - 228x¹² + 380x¹¹ + 950x¹⁰ - 3616x⁹ + 869x⁸ - 988x⁷ + 35626x⁶ - 28944x⁵ - 113236x⁴ - 132104x³ + 1265966x² - 1918932x + 932249	\( 2^{32}\cdot 17^{6}\cdot 97^{4} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2]$ (GRH)
16.0.9177836710508849627398144.2	x¹⁶ - 4x¹⁵ - 26x¹⁴ + 184x¹³ + 396x¹² - 2848x¹¹ + 2946x¹⁰ + 17832x⁹ - 47271x⁸ - 15272x⁷ + 220534x⁶ - 233928x⁵ - 214944x⁴ + 709236x³ - 220724x² - 560472x + 738433	\( 2^{32}\cdot 17^{6}\cdot 97^{4} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2]$ (GRH)
16.0.9177836710508849627398144.3	x¹⁶ - 4x¹⁵ - 40x¹³ + 132x¹² + 584x¹¹ - 1202x¹⁰ - 3900x⁹ + 8925x⁸ + 5144x⁷ - 40238x⁶ + 15732x⁵ + 140344x⁴ - 72900x³ - 138942x² + 161516x + 162641	\( 2^{32}\cdot 17^{6}\cdot 97^{4} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2]$ (GRH)
16.0.104071879720680162479570944.3	x¹⁶ - 4x¹⁵ + 66x¹⁴ - 324x¹³ + 2798x¹² - 13200x¹¹ + 73000x¹⁰ - 289244x⁹ + 1145051x⁸ - 3647616x⁷ + 10775414x⁶ - 26323352x⁵ + 57244536x⁴ - 100180644x³ + 143123840x² - 135856912x + 77313634	\( 2^{36}\cdot 17^{6}\cdot 89^{4} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2, 2]$ (GRH)
16.0.104071879720680162479570944.4	x¹⁶ - 4x¹⁵ + 70x¹⁴ - 256x¹³ + 2272x¹² - 7772x¹¹ + 44064x¹⁰ - 129312x⁹ + 533146x⁸ - 1285200x⁷ + 3829968x⁶ - 6791264x⁵ + 14169936x⁴ - 15726656x³ + 21996912x² - 10335520x + 8602768	\( 2^{36}\cdot 17^{6}\cdot 89^{4} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2, 2]$ (GRH)
16.0.1283608060359000468473511936.3	x¹⁶ + 76x¹² + 1312x⁸ + 5304x⁴ + 6084	\( 2^{52}\cdot 3^{10}\cdot 13^{6} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 6]$ (GRH)
16.8.60215786657648562405359222784.3	x¹⁶ + 8x¹⁴ - 84x¹³ - 36x¹² - 136x¹¹ - 1490x¹⁰ + 3132x⁹ - 427x⁸ + 110184x⁷ - 58966x⁶ - 500820x⁵ + 1813396x⁴ - 2043696x³ - 8480970x² + 6366400x + 11840473	\( 2^{32}\cdot 3^{8}\cdot 17^{6}\cdot 97^{4} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial (GRH)
16.8.60215786657648562405359222784.4	x¹⁶ - 8x¹⁵ + 8x¹⁴ + 48x¹³ - 296x¹² + 1932x¹¹ - 3358x¹⁰ - 1816x⁹ + 18137x⁸ - 134932x⁷ + 148310x⁶ - 18480x⁵ + 371076x⁴ + 1685116x³ + 364190x² + 4480320x + 4071673	\( 2^{32}\cdot 3^{8}\cdot 17^{6}\cdot 97^{4} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	Trivial (GRH)
16.8.4877478719269533554834097045504.5	x¹⁶ - 4x¹⁵ + 28x¹⁴ + 248x¹³ - 1540x¹² + 1496x¹¹ + 9172x¹⁰ - 151076x⁹ + 203518x⁸ + 1537644x⁷ - 1696040x⁶ - 4482264x⁵ - 11490419x⁴ + 33646688x³ + 91050580x² - 247607232x + 123926857	\( 2^{32}\cdot 3^{12}\cdot 17^{6}\cdot 97^{4} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2]$ (GRH)
16.8.4877478719269533554834097045504.6	x¹⁶ - 4x¹⁵ + 26x¹⁴ - 120x¹³ - 1788x¹² - 3032x¹¹ - 26294x¹⁰ - 19168x⁹ + 444742x⁸ + 862764x⁷ + 1268508x⁶ - 236200x⁵ - 15979773x⁴ - 18086136x³ + 6854770x² + 37596416x + 26863609	\( 2^{32}\cdot 3^{12}\cdot 17^{6}\cdot 97^{4} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2]$ (GRH)
16.0.78039659508312536877345552728064.1	x¹⁶ - 8x¹⁵ + 166x¹⁴ - 968x¹³ + 10922x¹² - 48692x¹¹ + 381910x¹⁰ - 1294564x⁹ + 7667398x⁸ - 18508272x⁷ + 86507434x⁶ - 122570424x⁵ + 495625354x⁴ - 153572468x³ + 1237648906x² + 1155456948x + 1587808969	\( 2^{36}\cdot 3^{12}\cdot 17^{6}\cdot 97^{4} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2, 2, 2, 2, 5634]$ (GRH)
16.16.78039659508312536877345552728064.1	x¹⁶ - 4x¹⁵ - 150x¹⁴ + 540x¹³ + 8852x¹² - 28560x¹¹ - 269044x¹⁰ + 776384x⁹ + 4565499x⁸ - 11767196x⁷ - 43341016x⁶ + 99037596x⁵ + 213981992x⁴ - 423594144x³ - 435859146x² + 699011236x + 81973873	\( 2^{36}\cdot 3^{12}\cdot 17^{6}\cdot 97^{4} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2]$ (GRH)
16.0.78039659508312536877345552728064.2	x¹⁶ + 174x¹⁴ - 164x¹³ + 11648x¹² - 15708x¹¹ + 401124x¹⁰ - 506040x⁹ + 7714170x⁸ - 7237928x⁷ + 83714568x⁶ - 33396192x⁵ + 466924080x⁴ + 125673152x³ + 1316168472x² + 808621280x + 1171252804	\( 2^{36}\cdot 3^{12}\cdot 17^{6}\cdot 97^{4} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2, 2, 2, 2, 5926]$ (GRH)
16.16.78039659508312536877345552728064.2	x¹⁶ - 4x¹⁵ - 182x¹⁴ + 700x¹³ + 12152x¹² - 39964x¹¹ - 412012x¹⁰ + 1023064x⁹ + 7944082x⁸ - 12354512x⁷ - 88327192x⁶ + 55571216x⁵ + 523812272x⁴ + 109031296x³ - 1243401272x² - 1176794176x - 275536412	\( 2^{36}\cdot 3^{12}\cdot 17^{6}\cdot 97^{4} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2]$ (GRH)
16.0.45892197269607041217434019101147136.5	x¹⁶ - 8x¹⁵ - 52x¹⁴ + 144x¹³ + 3933x¹² - 1672x¹¹ - 21320x¹⁰ + 90376x⁹ + 1383262x⁸ - 1038000x⁷ - 1572804x⁶ + 4311208x⁵ + 112548612x⁴ - 16484472x³ - 541516688x² + 991021888x + 4376380753	\( 2^{32}\cdot 3^{12}\cdot 17^{6}\cdot 97^{6} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2, 2, 40]$ (GRH)
16.0.45892197269607041217434019101147136.6	x¹⁶ - 4x¹⁴ - 216x¹³ + 1031x¹² + 2844x¹¹ + 32918x¹⁰ - 112260x⁹ + 238438x⁸ - 27168x⁷ + 17814694x⁶ + 11516316x⁵ + 128950970x⁴ - 129903372x³ + 1191614404x² + 114227100x + 6079069441	\( 2^{32}\cdot 3^{12}\cdot 17^{6}\cdot 97^{6} \)	$C_2^3.C_2^4.C_2$ (as 16T657)	$[2, 2, 2, 40]$ (GRH)