LMFDB - Global number field search results

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Results (displaying matches 1-50 of at least 1000) Next

Label	Polynomial	Discriminant	Galois group	Class group
4.0.3276636255692800.4	x⁴ + 340340x² + 5306751450	$ 2^{11}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} $	$C_4$ (as 4T1)	$[2, 2, 2, 2, 4, 19720]$ (GRH)
4.0.3276636255692800.8	x⁴ + 340340x² + 28892313450	$ 2^{11}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} $	$C_4$ (as 4T1)	$[2, 2, 2, 2, 20, 4040]$ (GRH)
4.0.10274701018982400.10	x⁴ + 32032x² + 90596506	$ 2^{11}\cdot 3^{2}\cdot 5^{2}\cdot 7^{3}\cdot 11^{3}\cdot 13^{2}\cdot 17^{2} $	$D_{4}$ (as 4T3)	$[2, 2, 2, 2, 4, 8, 2088]$ (GRH)
4.0.22936453789849600.1	x⁴ + 12376x² + 3094	$ 2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 3136]$ (GRH)
4.0.22936453789849600.4	x⁴ + 24752x² + 10052406	$ 2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 8, 3184]$ (GRH)
4.0.22936453789849600.6	x⁴ + 12376x² + 24507574	$ 2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[4, 4, 4, 4, 4624]$ (GRH)
4.0.22936453789849600.11	x⁴ + 24752x² + 46809126	$ 2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 8, 3328]$ (GRH)
4.0.22936453789849600.12	x⁴ + 49504x² + 59779174	$ 2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 16, 1296]$ (GRH)
4.0.22936453789849600.14	x⁴ + 24752x² + 132574806	$ 2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 9904]$ (GRH)
4.0.22936453789849600.16	x⁴ + 24752x² + 152484696	$ 2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 11600]$ (GRH)
4.0.24574771917696000.3	x⁴ + 46410x² + 13157235	$ 2^{10}\cdot 3\cdot 5^{3}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 12, 3312]$ (GRH)
4.0.24574771917696000.9	x⁴ + 46410x² + 527751315	$ 2^{10}\cdot 3\cdot 5^{3}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 9516]$ (GRH)
4.0.29489726301235200.2	x⁴ + 1021020x² + 589639050	$ 2^{11}\cdot 3^{2}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} $	$C_4$ (as 4T1)	$[2, 2, 2, 2, 4, 4, 4, 1768]$ (GRH)
4.0.29489726301235200.4	x⁴ + 1021020x² + 47760763050	$ 2^{11}\cdot 3^{2}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} $	$C_4$ (as 4T1)	$[2, 2, 2, 2, 4, 8, 8, 520]$ (GRH)
4.0.29489726301235200.7	x⁴ + 1021020x² + 212859697050	$ 2^{11}\cdot 3^{2}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} $	$C_4$ (as 4T1)	$[2, 2, 2, 2, 2, 2, 4, 5128]$ (GRH)
4.0.29489726301235200.8	x⁴ + 1021020x² + 260030821050	$ 2^{11}\cdot 3^{2}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} $	$C_4$ (as 4T1)	$[2, 2, 2, 2, 2, 2, 100, 200]$ (GRH)
4.0.39697708482432000.2	x⁴ + 30940x² + 402220	$ 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 1248]$ (GRH)
4.0.39697708482432000.4	x⁴ + 77350x² + 2513875	$ 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 2504]$ (GRH)
4.0.39697708482432000.5	x⁴ + 92820x² + 3619980	$ 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 992]$ (GRH)
4.0.39697708482432000.8	x⁴ + 30940x² + 212774380	$ 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 1384]$ (GRH)
4.0.39697708482432000.10	x⁴ + 77350x² + 374165155	$ 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 1440]$ (GRH)
4.0.39697708482432000.14	x⁴ + 77350x² + 692723395	$ 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 2856]$ (GRH)
4.0.39697708482432000.16	x⁴ + 77350x² + 1329839875	$ 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 1072]$ (GRH)
4.0.39697708482432000.18	x⁴ + 92820x² + 1914969420	$ 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 2072]$ (GRH)
4.0.47703969016704000.4	x⁴ + 7150x² + 17875	$ 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 2256]$ (GRH)
4.0.47703969016704000.5	x⁴ + 8580x² + 25740	$ 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} $	$D_{4}$ (as 4T3)	$[2, 2, 2, 4, 4, 4, 2532]$ (GRH)
4.0.47703969016704000.12	x⁴ + 24310x² + 206635	$ 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 2496]$ (GRH)
4.0.47703969016704000.15	x⁴ + 37180x² + 483340	$ 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 12, 1152]$ (GRH)
4.0.47703969016704000.16	x⁴ + 7150x² + 8186035	$ 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 12, 840]$ (GRH)
4.0.47703969016704000.17	x⁴ + 7150x² + 12270115	$ 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 2760]$ (GRH)
4.0.47703969016704000.23	x⁴ + 15730x² + 57263635	$ 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} $	$D_{4}$ (as 4T3)	$[2, 2, 2, 4, 4, 4, 1968]$ (GRH)
4.0.47703969016704000.26	x⁴ + 21450x² + 110431035	$ 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} $	$D_{4}$ (as 4T3)	$[2, 2, 2, 4, 4, 12, 876]$ (GRH)
4.0.47703969016704000.28	x⁴ + 37180x² + 180182860	$ 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 2460]$ (GRH)
4.0.47703969016704000.31	x⁴ + 37180x² + 245528140	$ 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 2712]$ (GRH)
4.0.74206174025984000.11	x⁴ + 3543790250	$ 2^{11}\cdot 5^{3}\cdot 7^{3}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} $	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 4, 5064]$ (GRH)
4.0.80588540063170621.4	x⁴ - x³ + 53993x² + 25835471x + 5004230521	$ 61^{3}\cdot 73^{3}\cdot 97^{3} $	$C_4$ (as 4T1)	$[2, 2, 2, 8, 8, 1968]$ (GRH)
4.0.95788380689240149.4	x⁴ - x³ + 57194x² - 5347604x + 7299499035	$ 53^{3}\cdot 89^{3}\cdot 97^{3} $	$C_4$ (as 4T1)	$[2, 2, 24, 25008]$ (GRH)
4.0.124764226659072000.1	x⁴ + 48620x² + 53409070	$ 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 1072]$ (GRH)
4.0.124764226659072000.2	x⁴ + 243100x² + 114086830	$ 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 4, 6984]$ (GRH)
4.0.124764226659072000.4	x⁴ + 97240x² + 213636280	$ 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 4, 9560]$ (GRH)
4.0.124764226659072000.5	x⁴ + 48620x² + 265781230	$ 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 4, 5592]$ (GRH)
4.0.124764226659072000.7	x⁴ + 48620x² + 531246430	$ 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 4, 4808]$ (GRH)
4.0.124764226659072000.9	x⁴ + 48620x² + 584339470	$ 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 3032]$ (GRH)
4.0.124764226659072000.10	x⁴ + 97240x² + 1063124920	$ 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 2680]$ (GRH)
4.0.124764226659072000.11	x⁴ + 243100x² + 1335226750	$ 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 4088]$ (GRH)
4.0.124764226659072000.12	x⁴ + 97240x² + 2124985720	$ 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 2256]$ (GRH)
4.0.124764226659072000.13	x⁴ + 97240x² + 2337357880	$ 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 4, 9752]$ (GRH)
4.0.124764226659072000.16	x⁴ + 145860x² + 4781217870	$ 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 1104]$ (GRH)
4.0.124764226659072000.18	x⁴ + 243100x² + 13281160750	$ 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 4, 7944]$ (GRH)
4.0.124764226659072000.20	x⁴ + 243100x² + 14608486750	$ 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} $	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 1928]$ (GRH)

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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
4.0.3276636255692800.4	x⁴ + 340340x² + 5306751450	\( 2^{11}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} \)	$C_4$ (as 4T1)	$[2, 2, 2, 2, 4, 19720]$ (GRH)
4.0.3276636255692800.8	x⁴ + 340340x² + 28892313450	\( 2^{11}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} \)	$C_4$ (as 4T1)	$[2, 2, 2, 2, 20, 4040]$ (GRH)
4.0.10274701018982400.10	x⁴ + 32032x² + 90596506	\( 2^{11}\cdot 3^{2}\cdot 5^{2}\cdot 7^{3}\cdot 11^{3}\cdot 13^{2}\cdot 17^{2} \)	$D_{4}$ (as 4T3)	$[2, 2, 2, 2, 4, 8, 2088]$ (GRH)
4.0.22936453789849600.1	x⁴ + 12376x² + 3094	\( 2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 3136]$ (GRH)
4.0.22936453789849600.4	x⁴ + 24752x² + 10052406	\( 2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 8, 3184]$ (GRH)
4.0.22936453789849600.6	x⁴ + 12376x² + 24507574	\( 2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[4, 4, 4, 4, 4624]$ (GRH)
4.0.22936453789849600.11	x⁴ + 24752x² + 46809126	\( 2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 8, 3328]$ (GRH)
4.0.22936453789849600.12	x⁴ + 49504x² + 59779174	\( 2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 16, 1296]$ (GRH)
4.0.22936453789849600.14	x⁴ + 24752x² + 132574806	\( 2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 9904]$ (GRH)
4.0.22936453789849600.16	x⁴ + 24752x² + 152484696	\( 2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 11600]$ (GRH)
4.0.24574771917696000.3	x⁴ + 46410x² + 13157235	\( 2^{10}\cdot 3\cdot 5^{3}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 12, 3312]$ (GRH)
4.0.24574771917696000.9	x⁴ + 46410x² + 527751315	\( 2^{10}\cdot 3\cdot 5^{3}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 9516]$ (GRH)
4.0.29489726301235200.2	x⁴ + 1021020x² + 589639050	\( 2^{11}\cdot 3^{2}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} \)	$C_4$ (as 4T1)	$[2, 2, 2, 2, 4, 4, 4, 1768]$ (GRH)
4.0.29489726301235200.4	x⁴ + 1021020x² + 47760763050	\( 2^{11}\cdot 3^{2}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} \)	$C_4$ (as 4T1)	$[2, 2, 2, 2, 4, 8, 8, 520]$ (GRH)
4.0.29489726301235200.7	x⁴ + 1021020x² + 212859697050	\( 2^{11}\cdot 3^{2}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} \)	$C_4$ (as 4T1)	$[2, 2, 2, 2, 2, 2, 4, 5128]$ (GRH)
4.0.29489726301235200.8	x⁴ + 1021020x² + 260030821050	\( 2^{11}\cdot 3^{2}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3} \)	$C_4$ (as 4T1)	$[2, 2, 2, 2, 2, 2, 100, 200]$ (GRH)
4.0.39697708482432000.2	x⁴ + 30940x² + 402220	\( 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 1248]$ (GRH)
4.0.39697708482432000.4	x⁴ + 77350x² + 2513875	\( 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 2504]$ (GRH)
4.0.39697708482432000.5	x⁴ + 92820x² + 3619980	\( 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 992]$ (GRH)
4.0.39697708482432000.8	x⁴ + 30940x² + 212774380	\( 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 1384]$ (GRH)
4.0.39697708482432000.10	x⁴ + 77350x² + 374165155	\( 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 1440]$ (GRH)
4.0.39697708482432000.14	x⁴ + 77350x² + 692723395	\( 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 2856]$ (GRH)
4.0.39697708482432000.16	x⁴ + 77350x² + 1329839875	\( 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 1072]$ (GRH)
4.0.39697708482432000.18	x⁴ + 92820x² + 1914969420	\( 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 2072]$ (GRH)
4.0.47703969016704000.4	x⁴ + 7150x² + 17875	\( 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 2256]$ (GRH)
4.0.47703969016704000.5	x⁴ + 8580x² + 25740	\( 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} \)	$D_{4}$ (as 4T3)	$[2, 2, 2, 4, 4, 4, 2532]$ (GRH)
4.0.47703969016704000.12	x⁴ + 24310x² + 206635	\( 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 2496]$ (GRH)
4.0.47703969016704000.15	x⁴ + 37180x² + 483340	\( 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 12, 1152]$ (GRH)
4.0.47703969016704000.16	x⁴ + 7150x² + 8186035	\( 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 12, 840]$ (GRH)
4.0.47703969016704000.17	x⁴ + 7150x² + 12270115	\( 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 2760]$ (GRH)
4.0.47703969016704000.23	x⁴ + 15730x² + 57263635	\( 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} \)	$D_{4}$ (as 4T3)	$[2, 2, 2, 4, 4, 4, 1968]$ (GRH)
4.0.47703969016704000.26	x⁴ + 21450x² + 110431035	\( 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} \)	$D_{4}$ (as 4T3)	$[2, 2, 2, 4, 4, 12, 876]$ (GRH)
4.0.47703969016704000.28	x⁴ + 37180x² + 180182860	\( 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 2460]$ (GRH)
4.0.47703969016704000.31	x⁴ + 37180x² + 245528140	\( 2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 2712]$ (GRH)
4.0.74206174025984000.11	x⁴ + 3543790250	\( 2^{11}\cdot 5^{3}\cdot 7^{3}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2} \)	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 4, 5064]$ (GRH)
4.0.80588540063170621.4	x⁴ - x³ + 53993x² + 25835471x + 5004230521	\( 61^{3}\cdot 73^{3}\cdot 97^{3} \)	$C_4$ (as 4T1)	$[2, 2, 2, 8, 8, 1968]$ (GRH)
4.0.95788380689240149.4	x⁴ - x³ + 57194x² - 5347604x + 7299499035	\( 53^{3}\cdot 89^{3}\cdot 97^{3} \)	$C_4$ (as 4T1)	$[2, 2, 24, 25008]$ (GRH)
4.0.124764226659072000.1	x⁴ + 48620x² + 53409070	\( 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 1072]$ (GRH)
4.0.124764226659072000.2	x⁴ + 243100x² + 114086830	\( 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 4, 6984]$ (GRH)
4.0.124764226659072000.4	x⁴ + 97240x² + 213636280	\( 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 4, 9560]$ (GRH)
4.0.124764226659072000.5	x⁴ + 48620x² + 265781230	\( 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 4, 5592]$ (GRH)
4.0.124764226659072000.7	x⁴ + 48620x² + 531246430	\( 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 4, 4808]$ (GRH)
4.0.124764226659072000.9	x⁴ + 48620x² + 584339470	\( 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 3032]$ (GRH)
4.0.124764226659072000.10	x⁴ + 97240x² + 1063124920	\( 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 2680]$ (GRH)
4.0.124764226659072000.11	x⁴ + 243100x² + 1335226750	\( 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 4088]$ (GRH)
4.0.124764226659072000.12	x⁴ + 97240x² + 2124985720	\( 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 2256]$ (GRH)
4.0.124764226659072000.13	x⁴ + 97240x² + 2337357880	\( 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 4, 9752]$ (GRH)
4.0.124764226659072000.16	x⁴ + 145860x² + 4781217870	\( 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 1104]$ (GRH)
4.0.124764226659072000.18	x⁴ + 243100x² + 13281160750	\( 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 2, 4, 4, 4, 7944]$ (GRH)
4.0.124764226659072000.20	x⁴ + 243100x² + 14608486750	\( 2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3} \)	$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 8, 1928]$ (GRH)