Number field search results

Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)

Results (1-50 of 7691 matches)

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Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Narrow class group	Unit group torsion	Unit group rank	Regulator
3.1.104...075.15	$x^{3} - 8461534964025$	$3$	[1,1]	$-\,3^{5}\cdot 5^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 29^{2}\cdot 31^{2}$	$8$	$2188001.397800666$	$2627651.7365955696$				$S_3$ (as 3T2)	$[3, 3, 3, 3, 6, 43596]$	$[3, 3, 3, 3, 6, 43596]$	$2$	$1$	$26.723720885416103$
3.1.167...052.32	$x^{3} - 3672223248694$	$3$	[1,1]	$-\,2^{2}\cdot 3^{3}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$	$9$	$2556179.7454755562$	$3069810.7204139843$				$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 31800]$	$[3, 3, 3, 3, 3, 3, 31800]$	$2$	$1$	$32.631476972782096$
3.1.205...347.109	$x^{3} - 115976283423$	$3$	[1,1]	$-\,3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 29^{2}\cdot 31^{2}$	$8$	$2738207.0580063453$	$3288414.0468835807$				$S_3$ (as 3T2)	$[3, 3, 3, 3, 6, 54648]$	$[3, 3, 3, 3, 6, 54648]$	$2$	$1$	$36.483626709466776$
3.1.285...012.16	$x^{3} - 11662335372226$	$3$	[1,1]	$-\,2^{2}\cdot 3^{3}\cdot 7^{2}\cdot 11^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$	$9$	$3056763.00554025$	$3670979.6565681547$				$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 44613]$	$[3, 3, 3, 3, 3, 3, 44613]$	$2$	$1$	$22.54314164575125$
3.1.418...300.84	$x^{3} - 8534409427830$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 29^{2}\cdot 31^{2}$	$9$	$3473235.720576668$	$4171137.130877874$				$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 36666]$	$[3, 3, 3, 3, 3, 3, 36666]$	$2$	$1$	$49.28858322426113$
3.1.143...700.20	$x^{3} - 66818917315150$	$3$	[1,1]	$-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 31^{2}$	$10$	$5235265.05656849$	$6287223.276574687$				$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 6, 15852]$	$[3, 3, 3, 3, 3, 3, 6, 15852]$	$2$	$1$	$26.212433966116137$
3.1.183...700.8	$x^{3} - 112925974669950$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$	$9$	$5679250.5155285755$	$6820421.821800631$				$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 6, 14292]$	$[3, 3, 3, 3, 3, 6, 14292]$	$2$	$1$	$141.04807480412737$
3.1.183...700.67	$x^{3} - 35124132589650$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$	$9$	$5679250.5155285755$	$6820421.821800631$				$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 109359]$	$[3, 3, 3, 3, 3, 3, 109359]$	$2$	$1$	$33.64735696997361$
3.1.417...300.37	$x^{3} - 81313514792510$	$3$	[1,1]	$-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$	$10$	$7474314.917830976$	$8976180.999446508$				$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 6, 18876]$	$[3, 3, 3, 3, 3, 3, 6, 18876]$	$2$	$1$	$39.692444276089226$
3.1.752...075.81	$x^{3} - 72228165984975$	$3$	[1,1]	$-\,3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$	$9$	$9094156.950613776$	$10921509.15816279$				$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 9, 31347]$	$[3, 3, 3, 3, 3, 9, 31347]$	$2$	$1$	$86.71412780666098$
3.1.939...675.123	$x^{3} - 33511298365545$	$3$	[1,1]	$-\,3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$	$9$	$9794123.249256352$	$11762124.553580422$				$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 3, 5202]$	$[3, 3, 3, 3, 3, 3, 3, 5202]$	$2$	$1$	$607.1867195984295$
3.1.939...675.137	$x^{3} - 24462480957915$	$3$	[1,1]	$-\,3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$	$9$	$9794123.249256352$	$11762124.553580422$				$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 19938]$	$[3, 3, 3, 3, 3, 3, 19938]$	$2$	$1$	$495.0114533497007$
3.1.113...300.263	$x^{3} - 49104971615700$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}$	$10$	$10416225.668362768$	$12509230.338589707$				$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 3, 5328]$	$[3, 3, 3, 3, 3, 3, 3, 5328]$	$2$	$1$	$512.525698142464$
3.1.129...300.178	$x^{3} - 94761373646940$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 31^{2}$	$10$	$10889790.153557029$	$13077951.429518394$				$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 3, 26124]$	$[3, 3, 3, 3, 3, 3, 3, 26124]$	$2$	$1$	$90.34865994402743$
3.1.300...300.295	$x^{3} - 45157777725060$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$	$10$	$14436074.310168222$	$17336815.12674794$				$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 6, 3402]$	$[3, 3, 3, 3, 3, 3, 6, 3402]$	$2$	$1$	$550.4197956653317$
3.1.375...700.472	$x^{3} - 1297744347900$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$	$10$	$15547201.548975734$	$18671208.88973455$				$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 3, 6804]$	$[3, 3, 3, 3, 3, 3, 3, 6804]$	$2$	$1$	$705.8579037591172$
3.1.221...700.49	$x^{3} - 2944371252601350$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$	$10$	$28090069.661919598$	$33734402.73046753$			?	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 3, 6204]$	$[3, 3, 3, 3, 3, 3, 3, 6204]$	$2$	$1$	$1628.6676537016247$
3.1.434...252.75	$x^{3} - 3873906091057002$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$	$10$	$35153737.60065828$	$42217422.597190715$			?	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 3, 14592]$	$[3, 3, 3, 3, 3, 3, 3, 14592]$	$2$	$1$	$1219.998117133981$
3.1.434...252.487	$x^{3} - 2486950077612$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$	$10$	$35153737.60065828$	$42217422.597190715$			?	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 3, 4824]$	$[3, 3, 3, 3, 3, 3, 3, 4824]$	$2$	$1$	$3020.10099833806$
3.1.120...700.77	$x^{3} - 5108609951094650$	$3$	[1,1]	$-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$	$11$	$49416350.99973589$	$59345922.10553144$			?	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 6, 6, 6, 300]$	$[3, 3, 3, 3, 3, 6, 6, 6, 300]$	$2$	$1$	$3644.291011195316$
3.1.271...075.12	$x^{3} - 27527428671567825$	$3$	[1,1]	$-\,3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$	$10$	$64753738.307882026$	$77765157.31973152$			?	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 3, 30522]$	$[3, 3, 3, 3, 3, 3, 3, 30522]$	$2$	$1$	$1970.1939501406016$
3.1.108...300.361	$x^{3} - 12621271643880900$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$	$11$	$102790152.30880542$	$123444492.53581434$			?	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 3, 3, 6228]$	$[3, 3, 3, 3, 3, 3, 3, 3, 6228]$	$2$	$1$	$3737.8335717051505$
3.1.108...300.837	$x^{3} - 317086134895530$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$	$11$	$102790152.30880542$	$123444492.53581434$			?	$S_3$ (as 3T2)	$[3, 3, 3, 3, 3, 3, 3, 6, 1494]$	$[3, 3, 3, 3, 3, 3, 3, 6, 1494]$	$2$	$1$	$8831.129143898663$
4.0.340...000.51	$x^{4} + 65063988990$	$4$	[0,2]	$2^{11}\cdot 3^{3}\cdot 5^{3}\cdot 7^{3}\cdot 11^{3}\cdot 13^{3}\cdot 17^{3}$	$7$	$76394.6915106$	$90849.1106928496$				$D_{4}$ (as 4T3)	$[2, 4, 4, 4, 4, 29372]$	$[2, 4, 4, 4, 4, 29372]$	$2$	$1$	$17.302048772$
6.0.422...831.2	$x^{6} - x^{5} + 8787 x^{4} - 6059 x^{3} + 28507372 x^{2} - 7597780 x + 33662728000$	$6$	[0,3]	$-\,7^{4}\cdot 97^{5}\cdot 127^{3}$	$3$	$1866.1376100312793$	$1866.1376100312793$	✓	✓		$C_6$ (as 6T1)	$[6, 12, 258804]$	$[6, 12, 258804]$	$2$	$2$	$234.24453549640506$
6.0.129...943.4	$x^{6} + 5634 x^{4} - 68860 x^{3} + 9693297 x^{2} - 26400924 x + 5179359988$	$6$	[0,3]	$-\,3^{9}\cdot 13^{3}\cdot 313^{5}$	$3$	$2250.473169211498$	$2250.473169211498$	✓	✓		$C_6$ (as 6T1)	$[2, 2, 4, 4, 8, 29640]$	$[2, 2, 4, 4, 8, 29640]$	$2$	$2$	$204.75036004382392$
6.0.368...979.1	$x^{6} + 8289 x^{4} - 80434 x^{3} + 20366073 x^{2} - 348477849 x + 1635326065$	$6$	[0,3]	$-\,3^{9}\cdot 19^{3}\cdot 307^{5}$	$3$	$2677.157953159265$	$2677.157953159265$	✓	✓		$C_6$ (as 6T1)	$[2, 4, 84, 15540]$	$[2, 4, 84, 15540]$	$2$	$2$	$62.77478718477308$
6.0.545...875.1	$x^{6} - x^{5} + 18448 x^{4} + 56564 x^{3} + 46801426 x^{2} - 156198868 x + 36344311899$	$6$	[0,3]	$-\,5^{3}\cdot 13^{3}\cdot 31^{5}\cdot 37^{5}$	$4$	$2858.201612524296$	$2858.201612524296$	✓	✓		$C_6$ (as 6T1)	$[2, 2, 2, 2, 2, 2, 192612]$	$[2, 2, 2, 2, 2, 2, 192612]$	$2$	$2$	$134.21668891097292$
6.0.666...375.1	$x^{6} - 3 x^{5} - 10029 x^{4} - 263493 x^{3} + 27354072 x^{2} + 1540417020 x + 22520129696$	$6$	[0,3]	$-\,3^{8}\cdot 5^{3}\cdot 7^{5}\cdot 13^{5}\cdot 19^{4}$	$5$	$2955.8580186$	$2955.8580185953074$	✓	✓		$C_6$ (as 6T1)	$[3, 3, 3, 3, 3, 18, 8190]$	$[3, 3, 3, 3, 3, 18, 8190]$	$2$	$2$	$212.1071224368399$
6.0.256...599.2	$x^{6} - x^{5} + 9426 x^{4} - 450554 x^{3} + 18140045 x^{2} - 286457253 x + 3979358720$	$6$	[0,3]	$-\,7^{3}\cdot 5953^{5}$	$2$	$3699.6637599813266$	$3699.6637599813266$	✓	✓		$C_6$ (as 6T1)	$[10, 1260, 1260]$	$[10, 1260, 1260]$	$2$	$2$	$985.7080819651864$
6.0.275...000.2	$x^{6} - 2 x^{5} + 11503 x^{4} - 14034 x^{3} + 47821578 x^{2} - 47766312 x + 71212551201$	$6$	[0,3]	$-\,2^{9}\cdot 3^{3}\cdot 5^{3}\cdot 7^{3}\cdot 19^{5}\cdot 37^{4}$	$6$	$3743.1347345138042$	$3743.1347345138042$	✓	✓	?	$C_6$ (as 6T1)	$[2, 2, 2, 2, 6, 6, 12, 1596]$	$[2, 2, 2, 2, 6, 6, 12, 1596]$	$2$	$2$	$101.51169478532704$
6.0.323...368.1	$x^{6} + 17862 x^{4} + 94525704 x^{2} + 125057506392$	$6$	[0,3]	$-\,2^{9}\cdot 3^{3}\cdot 13^{5}\cdot 229^{5}$	$4$	$3845.2210967302112$	$3845.2210967302112$	✓	✓	?	$C_6$ (as 6T1)	$[2, 2, 6, 12, 40932]$	$[2, 2, 6, 12, 40932]$	$2$	$2$	$127.5651102959707$
6.0.376...671.2	$x^{6} - x^{5} + 26090 x^{4} - 737300 x^{3} + 20392840 x^{2} - 213000608 x + 2189201152$	$6$	[0,3]	$-\,59^{3}\cdot 1789^{5}$	$2$	$3943.9792644256017$	$3943.9792644256017$	✓	✓		$C_6$ (as 6T1)	$[16, 16, 58608]$	$[16, 16, 58608]$	$2$	$2$	$1150.9939351515975$
6.0.403...947.1	$x^{6} + x^{4} - 73727 x^{2} + 452984832$	$6$	[0,3]	$-\,3^{3}\cdot 13^{4}\cdot 47^{4}\cdot 181^{4}$	$4$	$3990.62100434$	$3990.621004341223$		✓		$S_3$ (as 6T2)	$[3, 3, 3, 702, 702]$	$[3, 3, 3, 702, 702]$	$6$	$2$	$234.49044222876648$
6.0.474...464.1	$x^{6} - 2 x^{5} - 891 x^{4} + 8430 x^{3} + 246277 x^{2} - 4679524 x + 22110817$	$6$	[0,3]	$-\,2^{4}\cdot 13^{5}\cdot 41^{3}\cdot 103^{5}$	$4$	$4099.482841299328$	$4099.482841299328$			?	$S_3\times C_3$ (as 6T5)	$[2, 6, 78, 16068]$	$[2, 6, 78, 16068]$	$2$	$2$	$92.92970024485224$
6.0.493...000.1	$x^{6} + 68085500$	$6$	[0,3]	$-\,2^{4}\cdot 3^{6}\cdot 5^{3}\cdot 7^{3}\cdot 397^{5}$	$5$	$4125.728985965734$	$4954.740406287066$			?	$D_{6}$ (as 6T3)	$[2, 2, 6, 18, 36, 648]$	$[2, 2, 6, 18, 36, 648]$	$2$	$2$	$224.93967420555603$
6.0.553...239.2	$x^{6} - x^{5} + 30402 x^{4} + 160 x^{3} + 281875392 x^{2} - 2304 x + 647138308608$	$6$	[0,3]	$-\,7^{5}\cdot 13^{5}\cdot 19^{5}\cdot 71^{3}$	$4$	$4205.248540434408$	$4205.248540434408$	✓	✓		$C_6$ (as 6T1)	$[2, 2, 6, 6, 238518]$	$[2, 2, 6, 6, 238518]$	$2$	$2$	$502.9776178215754$
6.0.644...392.1	$x^{6} - 2 x^{5} - 751 x^{4} + 6606 x^{3} + 178424 x^{2} - 3144948 x + 13758471$	$6$	[0,3]	$-\,2^{9}\cdot 19^{3}\cdot 1129^{5}$	$3$	$4313.53585409569$	$4313.53585409569$			?	$S_3\times C_3$ (as 6T5)	$[2, 2, 2, 2, 2, 337230]$	$[2, 2, 2, 2, 2, 337230]$	$2$	$2$	$88.80985872261941$
6.0.645...000.2	$x^{6} - 2 x^{5} + 146403 x^{4} - 195104 x^{3} + 7153206168 x^{2} - 4783197112 x + 116641043008316$	$6$	[0,3]	$-\,2^{9}\cdot 5^{3}\cdot 7^{4}\cdot 19^{5}\cdot 257^{3}$	$5$	$4315.421803217437$	$4315.421803217437$	✓	✓		$C_6$ (as 6T1)	$[2, 2, 2, 2, 6, 6, 32976]$	$[2, 2, 2, 2, 6, 6, 32976]$	$2$	$2$	$129.8828824455616$
6.0.660...904.1	$x^{6} + 11028 x^{4} + 30404196 x^{2} + 27018600$	$6$	[0,3]	$-\,2^{9}\cdot 3^{9}\cdot 919^{5}$	$3$	$4331.681022112491$	$4331.681022112491$	✓	✓		$C_6$ (as 6T1)	$[3, 6, 1180530]$	$[3, 6, 1180530]$	$2$	$2$	$102.39432384791388$
6.0.748...239.2	$x^{6} - x^{5} + 27256 x^{4} + 441536 x^{3} + 171676160 x^{2} + 1359142912 x + 260917166080$	$6$	[0,3]	$-\,13^{5}\cdot 47^{3}\cdot 181^{5}$	$3$	$4423.17241304812$	$4423.17241304812$	✓	✓		$C_6$ (as 6T1)	$[6, 2130534]$	$[6, 2130534]$	$2$	$2$	$2292.9148109898774$
6.0.772...267.1	$x^{6} + x^{4} - 86711 x^{2} + 626580912$	$6$	[0,3]	$-\,3^{3}\cdot 7^{4}\cdot 17^{4}\cdot 1093^{4}$	$4$	$4446.3677172$	$4446.367717198339$		✓		$S_3$ (as 6T2)	$[6, 6, 372, 1116]$	$[6, 6, 372, 1116]$	$6$	$2$	$372.72492160726574$
6.0.851...000.3	$x^{6} + 61620 x^{4} + 949256100 x^{2} + 833102400000$	$6$	[0,3]	$-\,2^{9}\cdot 3^{9}\cdot 5^{3}\cdot 13^{3}\cdot 79^{5}$	$5$	$4518.970053143276$	$4518.970053143276$	✓	✓		$C_6$ (as 6T1)	$[2, 2, 2, 4, 4, 4, 4, 6096]$	$[2, 2, 2, 4, 4, 4, 4, 6096]$	$2$	$2$	$279.7861132285274$
6.0.873...623.2	$x^{6} - x^{5} + 34800 x^{4} + 140350 x^{3} + 358489985 x^{2} + 716682003 x + 914631226334$	$6$	[0,3]	$-\,79^{3}\cdot 1777^{5}$	$2$	$4538.228952515954$	$4538.228952515954$	✓	✓		$C_6$ (as 6T1)	$[2, 8, 6103224]$	$[2, 8, 6103224]$	$2$	$2$	$311.76316367558695$
6.0.903...667.1	$x^{6} + x^{4} - 90179 x^{2} + 677702700$	$6$	[0,3]	$-\,3^{3}\cdot 17^{4}\cdot 73^{4}\cdot 109^{4}$	$4$	$4564.14549492$	$4564.145494916412$		✓		$S_3$ (as 6T2)	$[3, 3, 3, 1143, 1143]$	$[3, 3, 3, 1143, 1143]$	$6$	$2$	$374.47543530924696$
6.0.104...000.2	$x^{6} + 60060 x^{4} + 901800900 x^{2} + 2325523200000$	$6$	[0,3]	$-\,2^{9}\cdot 3^{9}\cdot 5^{3}\cdot 7^{5}\cdot 11^{3}\cdot 13^{5}$	$6$	$4676.734482538123$	$4676.734482538123$	✓	✓		$C_6$ (as 6T1)	$[2, 2, 2, 2, 2, 2, 2, 6, 15288]$	$[2, 2, 2, 2, 2, 2, 2, 6, 15288]$	$2$	$2$	$465.90471699987006$
6.0.109...187.1	$x^{6} - 3 x^{5} + 6 x^{4} + 94607 x^{3} - 141915 x^{2} - 141924 x + 2238046864$	$6$	[0,3]	$-\,3^{11}\cdot 13^{4}\cdot 1213^{4}$	$3$	$4712.57638273$	$4712.57638273069$		✓		$S_3$ (as 6T2)	$[3, 3, 735, 2205]$	$[3, 3, 735, 2205]$	$6$	$2$	$421.8654471094777$
6.0.122...375.1	$x^{6} + 27003375$	$6$	[0,3]	$-\,3^{11}\cdot 5^{3}\cdot 7^{5}\cdot 127^{5}$	$4$	$4804.248205889854$	$4804.248205889854$				$D_{6}$ (as 6T3)	$[2, 2, 12, 48, 5472]$	$[2, 2, 12, 48, 5472]$	$2$	$2$	$170.4673236388706$
6.0.129...000.2	$x^{6} - 2 x^{5} + 62627 x^{4} - 82934 x^{3} + 1314242662 x^{2} - 911803664 x + 9241132914001$	$6$	[0,3]	$-\,2^{9}\cdot 5^{3}\cdot 7^{3}\cdot 13^{5}\cdot 19^{4}\cdot 23^{3}$	$6$	$4844.304804751016$	$4844.304804751016$	✓	✓	?	$C_6$ (as 6T1)	$[2, 2, 2, 2, 6, 106974]$	$[2, 2, 2, 2, 6, 106974]$	$2$	$2$	$30.23059520490968$
6.0.134...056.2	$x^{6} + 18780 x^{4} - 13772 x^{3} + 143132709 x^{2} + 297433884 x + 421681500746$	$6$	[0,3]	$-\,2^{9}\cdot 3^{8}\cdot 11^{3}\cdot 313^{5}$	$4$	$4875.546359585969$	$4875.546359585969$	✓	✓		$C_6$ (as 6T1)	$[2, 2, 2, 4, 24, 22248]$	$[2, 2, 2, 4, 24, 22248]$	$2$	$2$	$204.75036004382392$

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