Number field search results

Results (1-20 of 982 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
9.9.62523502209.1	$x^{9} - 15 x^{7} - 4 x^{6} + 54 x^{5} + 12 x^{4} - 38 x^{3} - 9 x^{2} + 6 x + 1$	$9$	[9,0]	$3^{12}\cdot 7^{6}$	$2$	$15.8328962637$	$15.83289626371223$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$212.533159721$
9.9.567869252041.1	$x^{9} - 20 x^{7} - 8 x^{6} + 103 x^{5} + 46 x^{4} - 157 x^{3} - 32 x^{2} + 60 x + 8$	$9$	[9,0]	$7^{6}\cdot 13^{6}$	$2$	$20.2314772451$	$20.23147724512629$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$801.706351203$
9.9.2565164201769.1	$x^{9} - 3 x^{8} - 18 x^{7} + 38 x^{6} + 93 x^{5} - 147 x^{4} - 161 x^{3} + 201 x^{2} + 57 x - 53$	$9$	[9,0]	$3^{12}\cdot 13^{6}$	$2$	$23.9216192981$	$23.921619298064325$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$1564.12943924$
9.9.5534900853769.1	$x^{9} - 26 x^{7} - 14 x^{6} + 181 x^{5} + 154 x^{4} - 295 x^{3} - 224 x^{2} + 84 x + 56$	$9$	[9,0]	$7^{6}\cdot 19^{6}$	$2$	$26.0556009339$	$26.05560093389125$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$3257.67673381$
9.9.25002110044521.1	$x^{9} - 3 x^{8} - 24 x^{7} + 74 x^{6} + 117 x^{5} - 429 x^{4} + 119 x^{3} + 243 x^{2} - 69 x - 37$	$9$	[9,0]	$3^{12}\cdot 19^{6}$	$2$	$30.8080402914$	$30.80804029142189$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$5752.41829063$
9.9.104413920565969.1	$x^{9} - 38 x^{7} - 13 x^{6} + 409 x^{5} + 257 x^{4} - 1333 x^{3} - 832 x^{2} + 1143 x + 433$	$9$	[9,0]	$7^{6}\cdot 31^{6}$	$2$	$36.1110255532$	$36.111025553161305$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$11715.0303114$
9.9.227081481823729.1	$x^{9} - 32 x^{7} - 22 x^{6} + 259 x^{5} + 140 x^{4} - 787 x^{3} - 88 x^{2} + 804 x - 248$	$9$	[9,0]	$13^{6}\cdot 19^{6}$	$2$	$39.366907718$	$39.36690771803849$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$18193.7672504$
9.9.301855146292441.1	$x^{9} - 44 x^{7} - 46 x^{6} + 559 x^{5} + 1004 x^{4} - 1711 x^{3} - 4600 x^{2} - 2172 x + 232$	$9$	[9,0]	$7^{6}\cdot 37^{6}$	$2$	$40.6318418457$	$40.63184184569579$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$22957.4189176$
9.9.471655843734321.1	$x^{9} - 3 x^{8} - 36 x^{7} + 101 x^{6} + 327 x^{5} - 921 x^{4} - 575 x^{3} + 1632 x^{2} + 480 x - 449$	$9$	[9,0]	$3^{12}\cdot 31^{6}$	$2$	$42.6975348997$	$42.697534899657064$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$18035.7055684$
9.9.743702041351801.1	$x^{9} - 50 x^{7} - 39 x^{6} + 733 x^{5} + 999 x^{4} - 3097 x^{3} - 5616 x^{2} + 279 x + 2619$	$9$	[9,0]	$7^{6}\cdot 43^{6}$	$2$	$44.9135789935$	$44.91357899353824$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$32308.7458793$
9.9.1363532208525369.2	$x^{9} - 3 x^{8} - 42 x^{7} + 56 x^{6} + 585 x^{5} - 51 x^{4} - 2707 x^{3} - 1683 x^{2} + 1659 x + 593$	$9$	[9,0]	$3^{12}\cdot 37^{6}$	$2$	$48.0429303424$	$48.042930342421805$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$34338.3115782$
9.9.3359431500123609.1	$x^{9} - 3 x^{8} - 48 x^{7} + 77 x^{6} + 735 x^{5} - 333 x^{4} - 3903 x^{3} - 1452 x^{2} + 4476 x + 2971$	$9$	[9,0]	$3^{12}\cdot 43^{6}$	$2$	$53.1056395427$	$53.10563954274681$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$42373.025775$
9.9.4283810754983929.1	$x^{9} - 44 x^{7} - 21 x^{6} + 511 x^{5} + 213 x^{4} - 1993 x^{3} - 756 x^{2} + 2277 x + 1269$	$9$	[9,0]	$13^{6}\cdot 31^{6}$	$2$	$54.5594559174$	$54.55945591743934$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$74460.175203$
9.9.6061320523197289.1	$x^{9} - 68 x^{7} - 6 x^{6} + 1399 x^{5} + 272 x^{4} - 9467 x^{3} - 1944 x^{2} + 15100 x - 8$	$9$	[9,0]	$7^{6}\cdot 61^{6}$	$2$	$56.7046381411$	$56.7046381411338$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$74017.2665745$
9.9.10642338203800681.1	$x^{9} - 74 x^{7} - 38 x^{6} + 1669 x^{5} + 1562 x^{4} - 12043 x^{3} - 15200 x^{2} + 12932 x + 11864$	$9$	[9,0]	$7^{6}\cdot 67^{6}$	$2$	$60.3645399508$	$60.36453995082216$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$92528.8908249$
9.9.12384271322498881.1	$x^{9} - 50 x^{7} - 38 x^{6} + 673 x^{5} + 946 x^{4} - 1387 x^{3} - 2432 x^{2} - 540 x + 248$	$9$	[9,0]	$13^{6}\cdot 37^{6}$	$2$	$61.3898705469$	$61.389870546906536$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$155680.401764$
9.9.17804320388674561.1	$x^{9} - 80 x^{7} - 56 x^{6} + 1963 x^{5} + 2646 x^{4} - 14757 x^{3} - 27104 x^{2} + 5964 x + 11816$	$9$	[9,0]	$7^{6}\cdot 73^{6}$	$2$	$63.9166395164$	$63.91663951635618$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$243340.981466$
9.9.27380039270784201.1	$x^{9} - 3 x^{8} - 66 x^{7} + 164 x^{6} + 1281 x^{5} - 2619 x^{4} - 7815 x^{3} + 10197 x^{2} + 14175 x - 1467$	$9$	[9,0]	$3^{12}\cdot 61^{6}$	$2$	$67.0473416059$	$67.04734160593588$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$606374.408851$
9.9.28598996054590129.1	$x^{9} - 86 x^{7} - 150 x^{6} + 2281 x^{5} + 7494 x^{4} - 12883 x^{3} - 86400 x^{2} - 124308 x - 54216$	$9$	[9,0]	$7^{6}\cdot 79^{6}$	$2$	$67.3726175579$	$67.3726175578538$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$191730.33974$
9.9.30512012057180641.1	$x^{9} - 56 x^{7} - 31 x^{6} + 859 x^{5} + 971 x^{4} - 3037 x^{3} - 3100 x^{2} + 2157 x + 967$	$9$	[9,0]	$13^{6}\cdot 43^{6}$	$2$	$67.8590650821$	$67.85906508207313$		✓		$C_3^2$ (as 9T2)	trivial	$2$	$8$	$150675.24695$