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
3.1.148897681264332.64	x³ - 98630532	$ -\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 6, 618]$ (GRH)
3.1.308494392426675.6	x³ - 2247829675	$ -\,3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 1284]$ (GRH)
3.1.516648048216300.41	x³ - 9142433300	$ -\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 873]$ (GRH)
3.1.2540267624594700.52	x³ - 21930999090	$ -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 6, 294]$ (GRH)
3.1.3047169100704300.21	x³ - 25825655570	$ -\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 651]$ (GRH)
3.1.3047169100704300.38	x³ - 584290850	$ -\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 6, 666]$ (GRH)
3.1.5972451437380428.16	x³ - 26339831518	$ -\,2^{2}\cdot 3^{3}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 6, 234]$ (GRH)
3.1.5972451437380428.31	x³ - 4446984542	$ -\,2^{2}\cdot 3^{3}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 2322]$ (GRH)
3.1.11105798127360300.54	x³ - 30320349150	$ -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 6, 264]$ (GRH)
3.1.11105798127360300.73	x³ - 42448488810	$ -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 2565]$ (GRH)
3.1.11105798127360300.87	x³ - 5171698350	$ -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 525]$ (GRH)
3.1.13438015734105963.62	x³ - 95952243387	$ -\,3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 6, 6, 396]$ (GRH)
3.1.37327821483627675.33	x³ - 57520778315	$ -\,3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 444]$ (GRH)
3.1.37327821483627675.43	x³ - 9183989815	$ -\,3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 918]$ (GRH)
3.1.53752062936423852.8	x³ - 11288499222	$ -\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 2124]$ (GRH)
3.1.53752062936423852.64	x³ - 253478118894	$ -\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 450]$ (GRH)
3.1.149311285934510700.42	x³ - 9667357700	$ -\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 6, 84]$ (GRH)
3.1.335950393352649075.93	x³ - 557732175	$ -\,3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 522]$ (GRH)
3.1.335950393352649075.110	x³ - 73955286405	$ -\,3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 6, 600]$ (GRH)
3.1.1343801573410596300.6	x³ - 292028566830	$ -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 174]$ (GRH)
3.1.1343801573410596300.11	x³ - 261687936510	$ -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 666]$ (GRH)
3.1.1343801573410596300.77	x³ - 42387645300	$ -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 162]$ (GRH)
3.1.1343801573410596300.118	x³ - 4238764530	$ -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 168]$ (GRH)
3.1.1343801573410596300.122	x³ - 2900207310	$ -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} $	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 264]$ (GRH)
4.0.318059997625.2	x⁴ - x³ + 11691x² + 9x + 34142796	$ 5^{3}\cdot 17^{2}\cdot 19^{2}\cdot 29^{3} $	$C_4$ (as 4T1)	$[2, 2, 2, 13192]$
4.0.1373656048625.1	x⁴ - x³ + 1301x² - 11311x + 834106	$ 5^{3}\cdot 7\cdot 83\cdot 89\cdot 461^{2} $	$D_{4}$ (as 4T3)	$[2, 2, 30176]$
4.0.1470055574225.1	x⁴ - x³ + 343x² - 8527x + 182904	$ 5^{2}\cdot 7\cdot 29^{2}\cdot 47\cdot 461^{2} $	$D_{4}$ (as 4T3)	$[2, 73952]$
4.0.1706927328793.2	x⁴ - x³ + 12285x² - 74187x + 32180814	$ 17^{3}\cdot 41^{3}\cdot 71^{2} $	$C_4$ (as 4T1)	$[2, 2, 58812]$
4.0.1918133542217.1	x⁴ - 2x³ + 1751x² - 1750x + 745976	$ 401^{2}\cdot 2099\cdot 5683 $	$D_{4}$ (as 4T3)	$[5, 20750]$
4.0.2113257976393.1	x⁴ - x³ + 13679x² + 137701x + 17966196	$ 17^{3}\cdot 41^{3}\cdot 79^{2} $	$C_4$ (as 4T1)	$[2, 2, 38028]$
4.0.2134683011825.1	x⁴ - x³ - 503x² - 3559x + 259086	$ 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 67^{2}\cdot 2297 $	$D_{4}$ (as 4T3)	$[2, 2, 26096]$
4.0.2195420073025.1	x⁴ + 1647x² + 1048576	$ 5^{2}\cdot 401^{2}\cdot 739^{2} $	$C_2^2$ (as 4T2)	$[2, 90, 720]$
4.0.2258721005225.1	x⁴ - x³ + 403x² + 5273x + 225204	$ 5^{2}\cdot 41\cdot 461^{2}\cdot 10369 $	$D_{4}$ (as 4T3)	$[2, 87264]$
4.0.2444555695025.1	x⁴ - x³ - 287x² + 7273x + 242854	$ 5^{2}\cdot 17^{2}\cdot 61^{2}\cdot 79\cdot 1151 $	$D_{4}$ (as 4T3)	$[4, 25760]$
4.0.2667398888225.1	x⁴ - x³ + 433x² + 2953x + 249334	$ 5^{2}\cdot 89\cdot 461^{2}\cdot 5641 $	$D_{4}$ (as 4T3)	$[4, 32736]$
4.0.2676487143193.1	x⁴ - x³ + 47861x² - 95735x + 502488786	$ 43^{2}\cdot 61^{2}\cdot 73^{3} $	$C_4$ (as 4T1)	$[2, 2, 30292]$
4.0.2872012728585.1	x⁴ + 1531x² + 582660	$ 3\cdot 5\cdot 7^{2}\cdot 11^{2}\cdot 13\cdot 83\cdot 173^{2} $	$D_{4}$ (as 4T3)	$[2, 2, 26260]$
4.0.3112244760937.1	x⁴ - x³ + 15563x² - 219215x + 5781636	$ 13^{3}\cdot 61^{3}\cdot 79^{2} $	$C_4$ (as 4T1)	$[2, 2, 2, 21320]$
4.0.3129592943529.1	x⁴ - x³ + 226x² + 5664x + 235680	$ 3^{2}\cdot 13^{2}\cdot 79^{2}\cdot 439\cdot 751 $	$D_{4}$ (as 4T3)	$[16, 7920]$
4.0.3296499325657.4	x⁴ - x³ + 53117x² - 106247x + 618861882	$ 41^{2}\cdot 71^{2}\cdot 73^{3} $	$C_4$ (as 4T1)	$[2, 2, 4, 7556]$
4.0.3468687365897.1	x⁴ - x³ + 103x² - 5903x + 243400	$ 13^{2}\cdot 277^{2}\cdot 267497 $	$D_{4}$ (as 4T3)	$[5, 26600]$
4.0.3517510775833.1	x⁴ - x³ + 54869x² - 109751x + 660343986	$ 31^{2}\cdot 73^{3}\cdot 97^{2} $	$C_4$ (as 4T1)	$[2, 2, 27514]$
4.0.3517558883225.1	x⁴ - x³ - 275x² - 3103x + 259314	$ 5^{2}\cdot 17^{2}\cdot 61^{2}\cdot 130841 $	$D_{4}$ (as 4T3)	$[2, 2, 28020]$
4.0.3637089707025.1	x⁴ - x³ + 1394x² - 7900x + 949480	$ 3\cdot 5^{2}\cdot 173\cdot 461^{2}\cdot 1319 $	$D_{4}$ (as 4T3)	$[8, 16672]$
4.0.3641893267257.1	x⁴ - x³ + 232x² - 3636x + 253920	$ 3^{2}\cdot 7^{2}\cdot 17\cdot 149^{2}\cdot 21881 $	$D_{4}$ (as 4T3)	$[2, 58440]$
4.0.3668421791097.1	x⁴ - x³ + 295x² + 945x + 260904	$ 3^{2}\cdot 7\cdot 151\cdot 409\cdot 971^{2} $	$D_{4}$ (as 4T3)	$[2, 50820]$
4.0.3681619771617.1	x⁴ - 2x³ + 1689x² - 1688x + 691564	$ 3^{2}\cdot 577^{2}\cdot 709\cdot 1733 $	$D_{4}$ (as 4T3)	$[2, 2, 30730]$
4.0.3707906289945.1	x⁴ - x³ + 848x² - 22480x + 634240	$ 3\cdot 5\cdot 11\cdot 13^{2}\cdot 277^{2}\cdot 1733 $	$D_{4}$ (as 4T3)	$[2, 4, 19320]$
4.0.3709261838625.1	x⁴ - x³ + 1406x² + 5924x + 961336	$ 3\cdot 5^{3}\cdot 7\cdot 61\cdot 109\cdot 461^{2} $	$D_{4}$ (as 4T3)	$[2, 2, 2, 13024]$
4.0.3738806623225.1	x⁴ - x³ + 84x² + 14480x + 989120	$ 5^{2}\cdot 157\cdot 397\cdot 1549^{2} $	$D_{4}$ (as 4T3)	$[3, 33528]$

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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
3.1.148897681264332.64	x³ - 98630532	\( -\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 6, 618]$ (GRH)
3.1.308494392426675.6	x³ - 2247829675	\( -\,3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 1284]$ (GRH)
3.1.516648048216300.41	x³ - 9142433300	\( -\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 873]$ (GRH)
3.1.2540267624594700.52	x³ - 21930999090	\( -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 6, 294]$ (GRH)
3.1.3047169100704300.21	x³ - 25825655570	\( -\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 651]$ (GRH)
3.1.3047169100704300.38	x³ - 584290850	\( -\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 6, 666]$ (GRH)
3.1.5972451437380428.16	x³ - 26339831518	\( -\,2^{2}\cdot 3^{3}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 6, 234]$ (GRH)
3.1.5972451437380428.31	x³ - 4446984542	\( -\,2^{2}\cdot 3^{3}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 2322]$ (GRH)
3.1.11105798127360300.54	x³ - 30320349150	\( -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 6, 264]$ (GRH)
3.1.11105798127360300.73	x³ - 42448488810	\( -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 2565]$ (GRH)
3.1.11105798127360300.87	x³ - 5171698350	\( -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 525]$ (GRH)
3.1.13438015734105963.62	x³ - 95952243387	\( -\,3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 6, 6, 396]$ (GRH)
3.1.37327821483627675.33	x³ - 57520778315	\( -\,3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 444]$ (GRH)
3.1.37327821483627675.43	x³ - 9183989815	\( -\,3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 918]$ (GRH)
3.1.53752062936423852.8	x³ - 11288499222	\( -\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 2124]$ (GRH)
3.1.53752062936423852.64	x³ - 253478118894	\( -\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 450]$ (GRH)
3.1.149311285934510700.42	x³ - 9667357700	\( -\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 6, 84]$ (GRH)
3.1.335950393352649075.93	x³ - 557732175	\( -\,3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 522]$ (GRH)
3.1.335950393352649075.110	x³ - 73955286405	\( -\,3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 6, 600]$ (GRH)
3.1.1343801573410596300.6	x³ - 292028566830	\( -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 174]$ (GRH)
3.1.1343801573410596300.11	x³ - 261687936510	\( -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 666]$ (GRH)
3.1.1343801573410596300.77	x³ - 42387645300	\( -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 162]$ (GRH)
3.1.1343801573410596300.118	x³ - 4238764530	\( -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 168]$ (GRH)
3.1.1343801573410596300.122	x³ - 2900207310	\( -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2} \)	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 264]$ (GRH)
4.0.318059997625.2	x⁴ - x³ + 11691x² + 9x + 34142796	\( 5^{3}\cdot 17^{2}\cdot 19^{2}\cdot 29^{3} \)	$C_4$ (as 4T1)	$[2, 2, 2, 13192]$
4.0.1373656048625.1	x⁴ - x³ + 1301x² - 11311x + 834106	\( 5^{3}\cdot 7\cdot 83\cdot 89\cdot 461^{2} \)	$D_{4}$ (as 4T3)	$[2, 2, 30176]$
4.0.1470055574225.1	x⁴ - x³ + 343x² - 8527x + 182904	\( 5^{2}\cdot 7\cdot 29^{2}\cdot 47\cdot 461^{2} \)	$D_{4}$ (as 4T3)	$[2, 73952]$
4.0.1706927328793.2	x⁴ - x³ + 12285x² - 74187x + 32180814	\( 17^{3}\cdot 41^{3}\cdot 71^{2} \)	$C_4$ (as 4T1)	$[2, 2, 58812]$
4.0.1918133542217.1	x⁴ - 2x³ + 1751x² - 1750x + 745976	\( 401^{2}\cdot 2099\cdot 5683 \)	$D_{4}$ (as 4T3)	$[5, 20750]$
4.0.2113257976393.1	x⁴ - x³ + 13679x² + 137701x + 17966196	\( 17^{3}\cdot 41^{3}\cdot 79^{2} \)	$C_4$ (as 4T1)	$[2, 2, 38028]$
4.0.2134683011825.1	x⁴ - x³ - 503x² - 3559x + 259086	\( 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 67^{2}\cdot 2297 \)	$D_{4}$ (as 4T3)	$[2, 2, 26096]$
4.0.2195420073025.1	x⁴ + 1647x² + 1048576	\( 5^{2}\cdot 401^{2}\cdot 739^{2} \)	$C_2^2$ (as 4T2)	$[2, 90, 720]$
4.0.2258721005225.1	x⁴ - x³ + 403x² + 5273x + 225204	\( 5^{2}\cdot 41\cdot 461^{2}\cdot 10369 \)	$D_{4}$ (as 4T3)	$[2, 87264]$
4.0.2444555695025.1	x⁴ - x³ - 287x² + 7273x + 242854	\( 5^{2}\cdot 17^{2}\cdot 61^{2}\cdot 79\cdot 1151 \)	$D_{4}$ (as 4T3)	$[4, 25760]$
4.0.2667398888225.1	x⁴ - x³ + 433x² + 2953x + 249334	\( 5^{2}\cdot 89\cdot 461^{2}\cdot 5641 \)	$D_{4}$ (as 4T3)	$[4, 32736]$
4.0.2676487143193.1	x⁴ - x³ + 47861x² - 95735x + 502488786	\( 43^{2}\cdot 61^{2}\cdot 73^{3} \)	$C_4$ (as 4T1)	$[2, 2, 30292]$
4.0.2872012728585.1	x⁴ + 1531x² + 582660	\( 3\cdot 5\cdot 7^{2}\cdot 11^{2}\cdot 13\cdot 83\cdot 173^{2} \)	$D_{4}$ (as 4T3)	$[2, 2, 26260]$
4.0.3112244760937.1	x⁴ - x³ + 15563x² - 219215x + 5781636	\( 13^{3}\cdot 61^{3}\cdot 79^{2} \)	$C_4$ (as 4T1)	$[2, 2, 2, 21320]$
4.0.3129592943529.1	x⁴ - x³ + 226x² + 5664x + 235680	\( 3^{2}\cdot 13^{2}\cdot 79^{2}\cdot 439\cdot 751 \)	$D_{4}$ (as 4T3)	$[16, 7920]$
4.0.3296499325657.4	x⁴ - x³ + 53117x² - 106247x + 618861882	\( 41^{2}\cdot 71^{2}\cdot 73^{3} \)	$C_4$ (as 4T1)	$[2, 2, 4, 7556]$
4.0.3468687365897.1	x⁴ - x³ + 103x² - 5903x + 243400	\( 13^{2}\cdot 277^{2}\cdot 267497 \)	$D_{4}$ (as 4T3)	$[5, 26600]$
4.0.3517510775833.1	x⁴ - x³ + 54869x² - 109751x + 660343986	\( 31^{2}\cdot 73^{3}\cdot 97^{2} \)	$C_4$ (as 4T1)	$[2, 2, 27514]$
4.0.3517558883225.1	x⁴ - x³ - 275x² - 3103x + 259314	\( 5^{2}\cdot 17^{2}\cdot 61^{2}\cdot 130841 \)	$D_{4}$ (as 4T3)	$[2, 2, 28020]$
4.0.3637089707025.1	x⁴ - x³ + 1394x² - 7900x + 949480	\( 3\cdot 5^{2}\cdot 173\cdot 461^{2}\cdot 1319 \)	$D_{4}$ (as 4T3)	$[8, 16672]$
4.0.3641893267257.1	x⁴ - x³ + 232x² - 3636x + 253920	\( 3^{2}\cdot 7^{2}\cdot 17\cdot 149^{2}\cdot 21881 \)	$D_{4}$ (as 4T3)	$[2, 58440]$
4.0.3668421791097.1	x⁴ - x³ + 295x² + 945x + 260904	\( 3^{2}\cdot 7\cdot 151\cdot 409\cdot 971^{2} \)	$D_{4}$ (as 4T3)	$[2, 50820]$
4.0.3681619771617.1	x⁴ - 2x³ + 1689x² - 1688x + 691564	\( 3^{2}\cdot 577^{2}\cdot 709\cdot 1733 \)	$D_{4}$ (as 4T3)	$[2, 2, 30730]$
4.0.3707906289945.1	x⁴ - x³ + 848x² - 22480x + 634240	\( 3\cdot 5\cdot 11\cdot 13^{2}\cdot 277^{2}\cdot 1733 \)	$D_{4}$ (as 4T3)	$[2, 4, 19320]$
4.0.3709261838625.1	x⁴ - x³ + 1406x² + 5924x + 961336	\( 3\cdot 5^{3}\cdot 7\cdot 61\cdot 109\cdot 461^{2} \)	$D_{4}$ (as 4T3)	$[2, 2, 2, 13024]$
4.0.3738806623225.1	x⁴ - x³ + 84x² + 14480x + 989120	\( 5^{2}\cdot 157\cdot 397\cdot 1549^{2} \)	$D_{4}$ (as 4T3)	$[3, 33528]$