Number field search results

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

Results (1-50 of 5992 matches)

 

Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
3.1.54893107083.1	$x^{3} - 135269$	$3$	[1,1]	$-\,3\cdot 17^{2}\cdot 73^{2}\cdot 109^{2}$	$4$	$3800.48717399$	$4564.145494916412$				$S_3$ (as 3T2)	$[3, 3, 1143]$	$2$	$1$	$11.172517402227768$
3.1.197841895251.2	$x^{3} - x^{2} - 21856 x - 6280196$	$3$	[1,1]	$-\,3\cdot 7^{2}\cdot 11\cdot 13\cdot 19^{2}\cdot 29^{2}\cdot 31$	$7$	$5826.924906770241$	$28362.374394790466$				$S_3$ (as 3T2)	$[3, 3459]$	$2$	$1$	$16.577362534582825$
3.1.257262282732.1	$x^{3} - 585676$	$3$	[1,1]	$-\,2^{2}\cdot 3\cdot 7^{2}\cdot 13^{2}\cdot 1609^{2}$	$5$	$6360.02329419$	$7637.987009769459$				$S_3$ (as 3T2)	$[3, 3, 1287]$	$2$	$1$	$12.149518188011045$
3.1.284653405575.4	$x^{3} + 55545 x - 1766170$	$3$	[1,1]	$-\,3^{4}\cdot 5^{2}\cdot 7^{2}\cdot 11\cdot 17\cdot 23^{2}\cdot 29$	$7$	$6578.17558254652$	$27572.664013024834$				$S_3$ (as 3T2)	$[3, 3, 3, 468]$	$2$	$1$	$36.113867851515785$
3.1.392652134523.1	$x^{3} - 2291267$	$3$	[1,1]	$-\,3^{3}\cdot 11^{2}\cdot 19^{2}\cdot 577^{2}$	$4$	$7322.66760624$	$8794.0621388051$				$S_3$ (as 3T2)	$[3, 3, 3, 387]$	$2$	$1$	$14.445208224876936$
3.1.495241833996.13	$x^{3} + 81396 x - 81396$	$3$	[1,1]	$-\,2^{2}\cdot 3^{4}\cdot 7^{2}\cdot 13\cdot 17^{2}\cdot 19^{2}\cdot 23$	$7$	$7911.74791143$	$20458.995451738523$				$S_3$ (as 3T2)	$[3, 3, 3, 429]$	$2$	$1$	$11.3071182665$
3.1.551294352180.1	$x^{3} + 111693 x - 7049586$	$3$	[1,1]	$-\,2^{2}\cdot 3^{3}\cdot 5\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 31^{2}$	$9$	$8199.634884496525$	$163881.82392762176$				$S_3$ (as 3T2)	$[3, 3900]$	$2$	$1$	$43.87481214140972$
3.1.752686221700.4	$x^{3} - x^{2} + 28712 x + 45366252$	$3$	[1,1]	$-\,2^{2}\cdot 5^{2}\cdot 7^{2}\cdot 17\cdot 19\cdot 23^{2}\cdot 29\cdot 31$	$8$	$9096.437125939192$	$93262.77987244898$				$S_3$ (as 3T2)	$[3, 3, 1545]$	$2$	$1$	$23.03421152982088$
3.1.757366825644.24	$x^{3} + 5742 x - 1914$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 11^{2}\cdot 13\cdot 19\cdot 29^{2}\cdot 31$	$7$	$9115.253673387248$	$48599.53079142843$			✓	$S_3$ (as 3T2)	$[3, 6, 630]$	$2$	$1$	$10.85284548699128$
3.1.875247340968.6	$x^{3} + 6783 x - 874174$	$3$	[1,1]	$-\,2^{3}\cdot 3^{4}\cdot 7^{2}\cdot 11\cdot 13\cdot 17^{2}\cdot 23\cdot 29$	$8$	$9565.55705990994$	$91439.8650429645$				$S_3$ (as 3T2)	$[3, 3, 2211]$	$2$	$1$	$17.063311392051872$
3.1.927190073355.1	$x^{3} - x^{2} + 118725 x - 21813000$	$3$	[1,1]	$-\,3\cdot 5\cdot 7^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23\cdot 29\cdot 31$	$8$	$9751.159444338688$	$80226.78504447702$				$S_3$ (as 3T2)	$[3, 3, 1158]$	$2$	$1$	$53.1928796277041$
3.1.962324930700.1	$x^{3} - 81934860$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 29^{2}\cdot 31^{2}$	$6$	$9872.80544967385$	$11856.616915776358$			✓	$S_3$ (as 3T2)	$[3, 3, 3, 405]$	$2$	$1$	$15.444228019736544$
3.1.971194238028.1	$x^{3} - 82311572$	$3$	[1,1]	$-\,2^{2}\cdot 3^{3}\cdot 7^{2}\cdot 19^{2}\cdot 23^{2}\cdot 31^{2}$	$6$	$9903.043780706565$	$11892.931244976393$				$S_3$ (as 3T2)	$[3, 3, 6, 240]$	$2$	$1$	$13.2515952904896$
3.1.976650374700.12	$x^{3} - 29289260$	$3$	[1,1]	$-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}$	$7$	$9921.55414964$	$11915.161031086984$				$S_3$ (as 3T2)	$[3, 3, 3, 3, 129]$	$2$	$1$	$15.3338333391$
3.1.1075761762075.8	$x^{3} + 9240 x - 491645$	$3$	[1,1]	$-\,3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13\cdot 23\cdot 29\cdot 31$	$8$	$10246.417187855794$	$98854.71541928724$				$S_3$ (as 3T2)	$[3, 9, 432]$	$2$	$1$	$19.66658827612145$
3.1.1164413166147.10	$x^{3} - 6437739$	$3$	[1,1]	$-\,3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 29^{2}\cdot 31^{2}$	$5$	$10520.483570334038$	$12634.437505936121$				$S_3$ (as 3T2)	$[3, 3, 1260]$	$2$	$1$	$18.717591463639$
3.1.1168285253292.1	$x^{3} - 1248084$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 37^{2}\cdot 937^{2}$	$4$	$10532.1321156$	$12648.426674372764$				$S_3$ (as 3T2)	$[3, 3, 1404]$	$2$	$1$	$12.653916945005129$
3.1.1212366355308.1	$x^{3} - 1271412$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 35317^{2}$	$3$	$10662.9643828$	$12805.547979034525$				$S_3$ (as 3T2)	$[6, 2700]$	$2$	$1$	$12.666262643617374$
3.1.1248870711816.6	$x^{3} + 6783 x - 2355962$	$3$	[1,1]	$-\,2^{3}\cdot 3^{4}\cdot 7^{2}\cdot 13\cdot 17^{2}\cdot 19^{2}\cdot 29$	$7$	$10768.928502583354$	$40933.390296730955$				$S_3$ (as 3T2)	$[3, 3, 1221]$	$2$	$1$	$39.02485416658759$
3.1.1262941106700.9	$x^{3} - x^{2} + 216277 x - 96123$	$3$	[1,1]	$-\,2^{2}\cdot 3\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 23^{2}\cdot 31^{2}$	$7$	$10809.220254606422$	$12981.192060393814$				$S_3$ (as 3T2)	$[3, 3, 3, 6, 108]$	$2$	$1$	$16.678763057177914$
3.1.1269693929700.2	$x^{3} - 243675 x - 62266230$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7\cdot 19^{2}\cdot 23\cdot 29\cdot 31$	$8$	$10828.451302091331$	$118720.98286858741$				$S_3$ (as 3T2)	$[3, 4764]$	$2$	$1$	$35.42249262430733$
3.1.1341117996300.24	$x^{3} - 63517950$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}$	$6$	$11027.8029358$	$13243.696080020223$				$S_3$ (as 3T2)	$[3, 3, 3, 444]$	$2$	$1$	$23.0573491467$
3.1.1411549389432.2	$x^{3} + 47709 x - 74888994$	$3$	[1,1]	$-\,2^{3}\cdot 3^{5}\cdot 7\cdot 13\cdot 19^{2}\cdot 23\cdot 31^{2}$	$7$	$11217.567534111868$	$68138.95014152979$				$S_3$ (as 3T2)	$[3, 3, 1461]$	$2$	$1$	$33.0601169657823$
3.1.1461096783300.3	$x^{3} - x^{2} + 138192 x - 146838$	$3$	[1,1]	$-\,2^{2}\cdot 3\cdot 5^{2}\cdot 7^{2}\cdot 11\cdot 19\cdot 23^{2}\cdot 29\cdot 31$	$9$	$11347.31196618155$	$129939.40253163187$				$S_3$ (as 3T2)	$[3, 6, 1020]$	$2$	$1$	$40.17403525937762$
3.1.1491069233368.3	$x^{3} - x^{2} + 43390 x - 23493094$	$3$	[1,1]	$-\,2^{3}\cdot 11\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 31^{2}$	$6$	$11424.37902063538$	$24094.229814290797$				$S_3$ (as 3T2)	$[3, 3, 3, 480]$	$2$	$1$	$42.87115727795437$
3.1.1537134688908.25	$x^{3} - 63468132$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23^{2}$	$6$	$11540.8370169$	$13859.817667298468$				$S_3$ (as 3T2)	$[3, 3, 6, 186]$	$2$	$1$	$17.4701485837$
3.1.1601443055628.1	$x^{3} - 120066206$	$3$	[1,1]	$-\,2^{2}\cdot 3^{3}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 29^{2}$	$6$	$11699.586163140262$	$14050.465383580959$			✓	$S_3$ (as 3T2)	$[3, 3, 3, 648]$	$2$	$1$	$15.69888201346454$
3.1.1609355435787.3	$x^{3} - 235290 x - 45795277$	$3$	[1,1]	$-\,3^{4}\cdot 11^{2}\cdot 17\cdot 19\cdot 23^{2}\cdot 31^{2}$	$6$	$11718.822882499937$	$30696.185508269587$				$S_3$ (as 3T2)	$[3, 3, 1758]$	$2$	$1$	$17.402925978597654$
3.1.1628958602700.16	$x^{3} + 7410 x - 7410$	$3$	[1,1]	$-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 11\cdot 13^{2}\cdot 19^{2}\cdot 29\cdot 31$	$8$	$11766.212363489967$	$65465.97210795379$			✓	$S_3$ (as 3T2)	$[3, 3, 3, 897]$	$2$	$1$	$8.910990440066636$
3.1.1635247380627.1	$x^{3} - 246099$	$3$	[1,1]	$-\,3^{5}\cdot 7^{2}\cdot 11719^{2}$	$3$	$11781.3345154$	$14148.640000794072$			✓	$S_3$ (as 3T2)	$[3, 3, 2646]$	$2$	$1$	$11.571496264493511$
3.1.1742439528963.1	$x^{3} - 254037$	$3$	[1,1]	$-\,3^{5}\cdot 7^{2}\cdot 12097^{2}$	$3$	$12033.3321637$	$14451.273289346573$			✓	$S_3$ (as 3T2)	$[3, 3, 3186]$	$2$	$1$	$11.592660384391131$
3.1.1800427929300.4	$x^{3} - 12675 x - 1169870$	$3$	[1,1]	$-\,2^{2}\cdot 3^{4}\cdot 5^{2}\cdot 7\cdot 11\cdot 13^{2}\cdot 19\cdot 29\cdot 31$	$9$	$12165.367897151064$	$160436.27942505793$				$S_3$ (as 3T2)	$[3, 6, 924]$	$2$	$1$	$35.335078711472875$
3.1.1922694537764.1	$x^{3} - 95914 x - 93036580$	$3$	[1,1]	$-\,2^{2}\cdot 7^{2}\cdot 11\cdot 13^{2}\cdot 17^{2}\cdot 19\cdot 31^{2}$	$7$	$12434.741580540518$	$38165.51646557836$				$S_3$ (as 3T2)	$[3, 6, 648]$	$2$	$1$	$46.28527948161316$
3.1.2110227909075.8	$x^{3} - 52278655$	$3$	[1,1]	$-\,3^{3}\cdot 5^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2}$	$6$	$12826.5479052$	$15403.875386727925$			✓	$S_3$ (as 3T2)	$[3, 3, 3, 570]$	$2$	$1$	$17.91626856$
3.1.2132098742700.13	$x^{3} - 28663020$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 17^{2}\cdot 19^{2}\cdot 29^{2}$	$6$	$12870.708015232936$	$15456.908894773216$			✓	$S_3$ (as 3T2)	$[3, 3, 3, 567]$	$2$	$1$	$19.137819281524358$
3.1.2164879392588.1	$x^{3} - 283162$	$3$	[1,1]	$-\,2^{2}\cdot 3^{3}\cdot 11^{2}\cdot 61^{2}\cdot 211^{2}$	$5$	$12936.3344614$	$15535.72211916995$			✓	$S_3$ (as 3T2)	$[3, 3, 6, 300]$	$2$	$1$	$11.66501978974344$
3.1.2300141660652.1	$x^{3} - 291874$	$3$	[1,1]	$-\,2^{2}\cdot 3^{3}\cdot 11^{2}\cdot 13267^{2}$	$4$	$13200.3322166$	$15852.766779561805$			✓	$S_3$ (as 3T2)	$[3, 6, 912]$	$2$	$1$	$11.685221895819124$
3.1.2360892456300.8	$x^{3} - x^{2} - 295703 x + 118412757$	$3$	[1,1]	$-\,2^{2}\cdot 3\cdot 5^{2}\cdot 7^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}$	$7$	$13315.538505825254$	$15991.122269714602$				$S_3$ (as 3T2)	$[3, 3, 3, 390]$	$2$	$1$	$43.7264542175689$
3.1.2576716335180.7	$x^{3} + 257868 x - 75555324$	$3$	[1,1]	$-\,2^{2}\cdot 3^{4}\cdot 5\cdot 13^{2}\cdot 19^{2}\cdot 29^{2}\cdot 31$	$7$	$13709.51855105392$	$31774.409374195035$				$S_3$ (as 3T2)	$[3, 3, 6, 240]$	$2$	$1$	$23.16443584902583$
3.1.2628591272748.5	$x^{3} - 11856684$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}$	$6$	$13800.9088401$	$16574.021441144487$				$S_3$ (as 3T2)	$[3, 3, 3, 546]$	$2$	$1$	$19.1247068686$
3.1.2830346831907.1	$x^{3} - 323771$	$3$	[1,1]	$-\,3^{3}\cdot 7^{2}\cdot 23^{2}\cdot 2011^{2}$	$4$	$14145.3344121$	$16987.65483879205$			✓	$S_3$ (as 3T2)	$[3, 6, 1740]$	$2$	$1$	$11.754364664378173$
3.1.2929724446572.22	$x^{3} - 10211586$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 23^{2}\cdot 31^{2}$	$6$	$14308.988182088233$	$17184.19269904645$				$S_3$ (as 3T2)	$[3, 3, 3, 714]$	$2$	$1$	$17.94679337474246$
3.1.2956070822796.11	$x^{3} + 120156 x - 40272286$	$3$	[1,1]	$-\,2^{2}\cdot 3^{4}\cdot 7\cdot 13\cdot 17^{2}\cdot 19^{2}\cdot 31^{2}$	$7$	$14351.752788111315$	$30437.70080200773$				$S_3$ (as 3T2)	$[3, 3, 3, 567]$	$2$	$1$	$15.62837229977958$
3.1.2999274043923.1	$x^{3} - 333293$	$3$	[1,1]	$-\,3^{3}\cdot 23^{2}\cdot 43^{2}\cdot 337^{2}$	$4$	$14421.332265$	$17319.1108598592$			✓	$S_3$ (as 3T2)	$[3, 6, 1596]$	$2$	$1$	$11.773688411029228$
3.1.3057089042700.8	$x^{3} - 2355430$	$3$	[1,1]	$-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 19^{2}\cdot 23^{2}$	$7$	$14513.4066139$	$17429.68634812931$				$S_3$ (as 3T2)	$[3, 3, 3, 6, 126]$	$2$	$1$	$16.7693751342$
3.1.3190796049420.15	$x^{3} - 40698 x - 12440022$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 5\cdot 7\cdot 17^{2}\cdot 19^{2}\cdot 29\cdot 31$	$8$	$14721.984242614257$	$99340.08189584146$				$S_3$ (as 3T2)	$[3, 3, 1401]$	$2$	$1$	$36.289314781650226$
3.1.3287330083620.16	$x^{3} + 488070 x - 56941500$	$3$	[1,1]	$-\,2^{2}\cdot 3^{5}\cdot 5\cdot 11^{2}\cdot 17^{2}\cdot 23\cdot 29^{2}$	$7$	$14868.977515185286$	$49612.8625745597$				$S_3$ (as 3T2)	$[3, 3, 1263]$	$2$	$1$	$69.06113161035387$
3.1.3316105089675.6	$x^{3} - 29788675$	$3$	[1,1]	$-\,3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 17^{2}\cdot 19^{2}\cdot 31^{2}$	$6$	$14912.235778590926$	$17908.655030807637$				$S_3$ (as 3T2)	$[3, 3, 3, 585]$	$2$	$1$	$22.212241968763333$
3.1.3418220414700.7	$x^{3} - 211706950$	$3$	[1,1]	$-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2}$	$7$	$15063.7588473$	$18090.62468358773$				$S_3$ (as 3T2)	$[3, 3, 3, 3, 285]$	$2$	$1$	$13.8807672586$
3.1.3597749781236.4	$x^{3} - x^{2} + 58704 x - 10338368$	$3$	[1,1]	$-\,2^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29\cdot 31^{2}$	$6$	$15322.994715896959$	$33839.19190575191$				$S_3$ (as 3T2)	$[3, 3, 1260]$	$2$	$1$	$29.437192645804092$