| 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 |
| 9.1.922368160000.1 |
$x^{9} - x^{8} + 2 x^{7} + 7 x^{5} - 7 x^{4} + 7 x^{3} + 3 x^{2} - 3 x - 1$ |
$9$ |
[1,4] |
$2^{8}\cdot 5^{4}\cdot 7^{8}$ |
$3$ |
$21.3517664999$ |
$25.218151858142814$ |
|
|
? |
$(C_9:C_3):C_2$ (as 9T10) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$343.38765977$ |
| 9.1.1912622616576.2 |
$x^{9} - 4 x^{8} + 11 x^{7} - 14 x^{6} + 21 x^{5} - 28 x^{4} + 49 x^{3} - 30 x^{2} + 22 x - 36$ |
$9$ |
[1,4] |
$2^{12}\cdot 3^{4}\cdot 7^{8}$ |
$3$ |
$23.1539705373$ |
$27.625101262591276$ |
|
|
? |
$(C_9:C_3):C_2$ (as 9T10) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$694.702680433$ |
| 9.5.3432985113908.1 |
$x^{9} - 3 x^{8} + 4 x^{7} + 7 x^{6} - 49 x^{5} + 63 x^{4} - 35 x^{3} - 12 x^{2} + 29 x + 1$ |
$9$ |
[5,2] |
$2^{2}\cdot 7^{8}\cdot 53^{3}$ |
$3$ |
$24.7088444617$ |
$65.16626893378104$ |
|
|
? |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) |
$[3]$ |
$[6]$ |
$2$ |
$6$ |
$952.604609895$ |
| 9.1.3825245233152.1 |
$x^{9} - 3 x^{8} + 11 x^{7} - 7 x^{6} + 7 x^{5} + 7 x^{4} + 21 x^{3} - 5 x^{2} + 8 x + 8$ |
$9$ |
[1,4] |
$2^{13}\cdot 3^{4}\cdot 7^{8}$ |
$3$ |
$25.0076713728$ |
$57.71262870782426$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$1704.95863809$ |
| 9.3.8116839808000.1 |
$x^{9} - 4 x^{8} + 4 x^{7} + 14 x^{5} + 28 x^{4} - 16 x^{2} - 27 x - 8$ |
$9$ |
[3,3] |
$-\,2^{10}\cdot 5^{3}\cdot 7^{8}\cdot 11$ |
$4$ |
$27.1879417355$ |
$105.37872268127877$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$2363.25660702$ |
| 9.1.8606801774592.1 |
$x^{9} - 4 x^{8} + 11 x^{7} - 14 x^{6} + 28 x^{5} - 56 x^{4} + 140 x^{3} - 184 x^{2} + 176 x - 64$ |
$9$ |
[1,4] |
$2^{11}\cdot 3^{6}\cdot 7^{8}$ |
$3$ |
$27.3655791993$ |
$83.7824548461312$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$2447.12922794$ |
| 9.1.8606801774592.2 |
$x^{9} - 3 x^{8} + 11 x^{7} - 21 x^{6} + 70 x^{5} - 98 x^{4} + 63 x^{3} + 37 x^{2} - 13 x + 1$ |
$9$ |
[1,4] |
$2^{11}\cdot 3^{6}\cdot 7^{8}$ |
$3$ |
$27.3655791993$ |
$72.39824639808542$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
$[6]$ |
$[6]$ |
$2$ |
$4$ |
$878.858893457$ |
| 9.1.8606801774592.3 |
$x^{9} - 3 x^{8} + 11 x^{7} - 14 x^{6} + 28 x^{5} + 14 x^{3} + 86 x^{2} - 62 x + 92$ |
$9$ |
[1,4] |
$2^{11}\cdot 3^{6}\cdot 7^{8}$ |
$3$ |
$27.3655791993$ |
$72.39824639808542$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$1989.18184491$ |
| 9.1.10146049760000.1 |
$x^{9} - 3 x^{8} + 4 x^{7} + 7 x^{6} + 56 x^{4} - 56 x^{3} + 100 x^{2} - 20 x + 50$ |
$9$ |
[1,4] |
$2^{8}\cdot 5^{4}\cdot 7^{8}\cdot 11$ |
$4$ |
$27.8704582671$ |
$105.37872268127877$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$937.636552064$ |
| 9.1.15300980932608.1 |
$x^{9} + 7 x^{7} + 7 x^{5} - 56 x^{4} + 21 x^{3} + 56 x^{2} - 140 x - 112$ |
$9$ |
[1,4] |
$2^{15}\cdot 3^{4}\cdot 7^{8}$ |
$3$ |
$29.1721748686$ |
$65.7039339482884$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$6005.92217899$ |
| 9.3.18447363200000.1 |
$x^{9} - x^{8} - 5 x^{7} + 14 x^{6} + 7 x^{5} - 49 x^{4} - 21 x^{3} + 150 x^{2} - 66 x - 148$ |
$9$ |
[3,3] |
$-\,2^{10}\cdot 5^{5}\cdot 7^{8}$ |
$3$ |
$29.7846636316$ |
$86.24486619412892$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$4231.45723015$ |
| 9.1.28130389908481.1 |
$x^{9} - 3 x^{8} + 11 x^{7} - 21 x^{6} + 35 x^{5} - 14 x^{4} - 35 x^{3} + 114 x^{2} - 104 x + 57$ |
$9$ |
[1,4] |
$7^{8}\cdot 47^{4}$ |
$2$ |
$31.2142469044$ |
$38.658694757839754$ |
|
|
? |
$(C_9:C_3):C_2$ (as 9T10) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$1280.30572947$ |
| 9.1.29515781120000.1 |
$x^{9} - 3 x^{8} + 11 x^{7} - 35 x^{6} + 35 x^{5} - 77 x^{4} + 21 x^{3} + 23 x^{2} - 20 x - 20$ |
$9$ |
[1,4] |
$2^{13}\cdot 5^{4}\cdot 7^{8}$ |
$3$ |
$31.381427696$ |
$89.8672766571514$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$4486.08036359$ |
| 9.1.30601961865216.1 |
$x^{9} - 3 x^{8} + 4 x^{7} - 28 x^{6} + 42 x^{5} - 70 x^{4} + 112 x^{3} - 264 x^{2} + 64 x - 384$ |
$9$ |
[1,4] |
$2^{16}\cdot 3^{4}\cdot 7^{8}$ |
$3$ |
$31.5076915715$ |
$86.47124001808942$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$13302.0739741$ |
| 9.1.31129925400000.1 |
$x^{9} - 7 x^{6} + 21 x^{3} - 35$ |
$9$ |
[1,4] |
$2^{6}\cdot 3^{3}\cdot 5^{5}\cdot 7^{8}$ |
$4$ |
$31.5676322716$ |
$74.69024507010538$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$3094.47437601$ |
| 9.1.31129925400000.2 |
$x^{9} - 3 x^{8} - 3 x^{7} + 14 x^{6} - 28 x^{4} + 49 x^{3} - 61 x^{2} + 43 x - 20$ |
$9$ |
[1,4] |
$2^{6}\cdot 3^{3}\cdot 5^{5}\cdot 7^{8}$ |
$4$ |
$31.5676322716$ |
$74.69024507010538$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$2931.53274143$ |
| 9.1.34427207098368.1 |
$x^{9} - 3 x^{8} + 11 x^{7} - 21 x^{6} + 28 x^{5} - 12 x^{2} + 36 x + 36$ |
$9$ |
[1,4] |
$2^{13}\cdot 3^{6}\cdot 7^{8}$ |
$3$ |
$31.9227428208$ |
$72.39824639808542$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$3100.94530457$ |
| 9.1.34427207098368.2 |
$x^{9} - 4 x^{8} + 11 x^{7} + 28 x^{5} - 14 x^{4} + 42 x^{3} + 68 x^{2} + 8 x + 76$ |
$9$ |
[1,4] |
$2^{13}\cdot 3^{6}\cdot 7^{8}$ |
$3$ |
$31.9227428208$ |
$94.04262587897598$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$10026.7129457$ |
| 9.5.45487052759281.1 |
$x^{9} - 7 x^{7} - 7 x^{6} - 7 x^{5} + 84 x^{4} + 35 x^{3} - 280 x^{2} + 28 x + 280$ |
$9$ |
[5,2] |
$7^{8}\cdot 53^{4}$ |
$2$ |
$32.9263119703$ |
$41.05217698639053$ |
|
|
? |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[3]$ |
$[6]$ |
$2$ |
$6$ |
$1696.63643085$ |
| 9.1.46118408000000.1 |
$x^{9} - 2 x^{8} + x^{7} - 14 x^{6} + 35 x^{5} - 126 x^{4} + 196 x^{3} - 358 x^{2} + 541 x - 974$ |
$9$ |
[1,4] |
$2^{9}\cdot 5^{6}\cdot 7^{8}$ |
$3$ |
$32.9767807151$ |
$98.62357770196564$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$2834.91943751$ |
| 9.3.48480033672063.1 |
$x^{9} - x^{8} + 2 x^{7} - 70 x^{5} - 154 x^{4} - 126 x^{3} - 46 x^{2} - 10 x - 1$ |
$9$ |
[3,3] |
$-\,3^{4}\cdot 7^{8}\cdot 47^{3}$ |
$3$ |
$33.1602733126$ |
$167.26645770941894$ |
|
|
? |
$C_3 \wr S_3 $ (as 9T20) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$1734.9589615$ |
| 9.3.48480033672063.2 |
$x^{9} - x^{8} - 12 x^{7} - 28 x^{6} - 42 x^{5} - 56 x^{4} - 56 x^{3} - 32 x^{2} - 10 x - 1$ |
$9$ |
[3,3] |
$-\,3^{4}\cdot 7^{8}\cdot 47^{3}$ |
$3$ |
$33.1602733126$ |
$167.26645770941894$ |
|
|
? |
$C_3 \wr S_3 $ (as 9T20) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$907.386230669$ |
| 9.3.48480033672063.3 |
$x^{9} - x^{8} - 12 x^{7} - 21 x^{6} + 63 x^{5} + 147 x^{4} - 154 x^{3} - 620 x^{2} - 87 x + 1413$ |
$9$ |
[3,3] |
$-\,3^{4}\cdot 7^{8}\cdot 47^{3}$ |
$3$ |
$33.1602733126$ |
$167.26645770941894$ |
|
|
|
$C_3 \wr S_3 $ (as 9T20) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$8426.7535085$ |
| 9.3.51640810647552.1 |
$x^{9} - 7 x^{7} - 14 x^{6} + 49 x^{5} - 49 x^{3} + 98 x^{2} - 98 x - 196$ |
$9$ |
[3,3] |
$-\,2^{12}\cdot 3^{7}\cdot 7^{8}$ |
$3$ |
$33.3938040583$ |
$82.87530378777383$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$12443.2688292$ |
| 9.3.58095911978496.4 |
$x^{9} - 7 x^{7} - 14 x^{6} + 21 x^{5} + 28 x^{4} + 56 x^{3} + 210 x^{2} - 511 x - 112$ |
$9$ |
[3,3] |
$-\,2^{9}\cdot 3^{9}\cdot 7^{8}$ |
$3$ |
$33.833701093$ |
$105.79181762145451$ |
|
|
|
$C_3 \wr S_3 $ (as 9T20) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$7816.08262002$ |
| 9.3.58095911978496.7 |
$x^{9} - 7 x^{7} - 7 x^{6} + 21 x^{5} + 14 x^{4} - 49 x^{3} - 21 x^{2} + 14 x - 14$ |
$9$ |
[3,3] |
$-\,2^{9}\cdot 3^{9}\cdot 7^{8}$ |
$3$ |
$33.833701093$ |
$105.79181762145451$ |
|
|
|
$C_3 \wr S_3 $ (as 9T20) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$7424.28978044$ |
| 9.3.58095911978496.10 |
$x^{9} - 7 x^{7} - 7 x^{6} + 21 x^{5} + 70 x^{4} - 56 x^{3} - 105 x^{2} - 91 x + 63$ |
$9$ |
[3,3] |
$-\,2^{9}\cdot 3^{9}\cdot 7^{8}$ |
$3$ |
$33.833701093$ |
$105.79181762145451$ |
|
|
|
$C_3 \wr S_3 $ (as 9T20) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$3782.50181358$ |
| 9.1.58368610125000.1 |
$x^{9} - 4 x^{8} + 4 x^{7} - 35 x^{6} + 147 x^{5} - 161 x^{4} + 105 x^{3} - 282 x^{2} + 288 x - 288$ |
$9$ |
[1,4] |
$2^{3}\cdot 3^{4}\cdot 5^{6}\cdot 7^{8}$ |
$4$ |
$33.8513102805$ |
$106.307571014481$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$8198.0637406$ |
| 9.1.59031562240000.2 |
$x^{9} - 4 x^{8} + 11 x^{7} - 28 x^{6} + 7 x^{5} + 56 x^{4} - 77 x^{3} + 152 x^{2} - 90 x + 160$ |
$9$ |
[1,4] |
$2^{14}\cdot 5^{4}\cdot 7^{8}$ |
$3$ |
$33.8938166034$ |
$84.82341398734437$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$11574.8421187$ |
| 9.1.61203923730432.1 |
$x^{9} - 4 x^{8} - 3 x^{7} + 42 x^{6} - 14 x^{5} - 84 x^{4} + 84 x^{3} + 40 x^{2} - 104 x + 48$ |
$9$ |
[1,4] |
$2^{17}\cdot 3^{4}\cdot 7^{8}$ |
$3$ |
$34.0301891318$ |
$78.13558573497339$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$19369.658468$ |
| 9.1.68854414196736.1 |
$x^{9} - 2 x^{8} + 8 x^{7} - 28 x^{6} + 35 x^{5} - 182 x^{4} + 322 x^{3} - 8 x^{2} + 590 x - 1212$ |
$9$ |
[1,4] |
$2^{14}\cdot 3^{6}\cdot 7^{8}$ |
$3$ |
$34.4784692757$ |
$83.7824548461312$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$15705.4899639$ |
| 9.1.77461215971328.1 |
$x^{9} - 21 x^{6} + 126 x^{3} - 14$ |
$9$ |
[1,4] |
$2^{11}\cdot 3^{8}\cdot 7^{8}$ |
$3$ |
$34.9326546201$ |
$72.39824639808542$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$6562.92125339$ |
| 9.1.77461215971328.2 |
$x^{9} - 4 x^{8} - 3 x^{7} + 28 x^{6} - 7 x^{5} - 126 x^{4} + 196 x^{3} + 68 x^{2} - 384 x + 384$ |
$9$ |
[1,4] |
$2^{11}\cdot 3^{8}\cdot 7^{8}$ |
$3$ |
$34.9326546201$ |
$72.39824639808542$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$7130.74422875$ |
| 9.1.114915635370816.1 |
$x^{9} - 3 x^{8} - 10 x^{7} + 42 x^{6} - 280 x^{4} + 574 x^{3} + 282 x^{2} - 1021 x + 631$ |
$9$ |
[1,4] |
$2^{6}\cdot 3\cdot 7^{8}\cdot 47^{3}$ |
$4$ |
$36.4976033439$ |
$106.29050682256965$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$2701.76899104$ |
| 9.1.154922431942656.2 |
$x^{9} - 2 x^{8} + 8 x^{7} - 14 x^{6} + 28 x^{5} - 28 x^{4} + 28 x^{3} - 8 x^{2} + 2 x + 48$ |
$9$ |
[1,4] |
$2^{12}\cdot 3^{8}\cdot 7^{8}$ |
$3$ |
$37.7293538278$ |
$74.32897400114904$ |
|
|
? |
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ (as 9T32) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$8756.88296219$ |
| 9.1.159385218048000.1 |
$x^{9} - 3 x^{8} - 10 x^{7} + 14 x^{6} + 84 x^{5} - 28 x^{4} - 56 x^{3} - 152 x^{2} - 160 x - 160$ |
$9$ |
[1,4] |
$2^{13}\cdot 3^{3}\cdot 5^{3}\cdot 7^{8}$ |
$4$ |
$37.8485967334$ |
$87.35824058258169$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
$[9]$ |
$[9]$ |
$2$ |
$4$ |
$7483.01487166$ |
| 9.1.159385218048000.2 |
$x^{9} - 3 x^{8} + 11 x^{7} - 21 x^{6} + 42 x^{5} - 14 x^{4} + 14 x^{3} + 58 x^{2} + 36 x + 148$ |
$9$ |
[1,4] |
$2^{13}\cdot 3^{3}\cdot 5^{3}\cdot 7^{8}$ |
$4$ |
$37.8485967334$ |
$87.35824058258169$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
$[9]$ |
$[9]$ |
$2$ |
$4$ |
$3466.26933836$ |
| 9.1.159385218048000.3 |
$x^{9} - 4 x^{8} - 3 x^{7} + 56 x^{6} - 70 x^{5} - 196 x^{4} + 462 x^{3} + 152 x^{2} - 972 x + 608$ |
$9$ |
[1,4] |
$2^{13}\cdot 3^{3}\cdot 5^{3}\cdot 7^{8}$ |
$4$ |
$37.8485967334$ |
$87.35824058258169$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
$[9]$ |
$[9]$ |
$2$ |
$4$ |
$6509.20238259$ |
| 9.1.182401906640625.1 |
$x^{9} - 4 x^{8} + 11 x^{7} + 21 x^{6} - 84 x^{5} - 21 x^{4} + 189 x^{3} - 16 x^{2} - 6 x - 1$ |
$9$ |
[1,4] |
$3^{4}\cdot 5^{8}\cdot 7^{8}$ |
$3$ |
$38.420129051$ |
$40.83810257798925$ |
|
|
? |
$(C_9:C_3):C_2$ (as 9T10) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$5899.02329086$ |
| 9.1.192326305566976.1 |
$x^{9} - 3 x^{8} - 3 x^{7} + 7 x^{6} + 14 x^{5} - 28 x^{3} - 12 x^{2} + 8 x + 36$ |
$9$ |
[1,4] |
$2^{8}\cdot 7^{8}\cdot 19^{4}$ |
$3$ |
$38.6469664303$ |
$55.179367735662375$ |
|
|
? |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[9]$ |
$[9]$ |
$2$ |
$4$ |
$4932.76168468$ |
| 9.1.192326305566976.2 |
$x^{9} - 4 x^{8} - 10 x^{7} + 42 x^{6} + 84 x^{5} - 266 x^{4} - 266 x^{3} + 684 x^{2} + 190 x - 722$ |
$9$ |
[1,4] |
$2^{8}\cdot 7^{8}\cdot 19^{4}$ |
$3$ |
$38.6469664303$ |
$95.02670637309777$ |
|
|
? |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[9]$ |
$[9]$ |
$2$ |
$4$ |
$1281.26155136$ |
| 9.5.222604746800072.1 |
$x^{9} - 2 x^{8} - 20 x^{7} + 21 x^{6} + 154 x^{5} - 112 x^{4} - 504 x^{3} + 384 x^{2} + 576 x - 512$ |
$9$ |
[5,2] |
$2^{3}\cdot 7^{8}\cdot 13^{6}$ |
$3$ |
$39.2799106491$ |
$88.18041792914867$ |
|
|
|
$S_3 \wr C_3 $ (as 9T28) |
$[9]$ |
$[9]$ |
$2$ |
$6$ |
$6878.05172042$ |
| 9.3.229773870618075.1 |
$x^{9} - 3 x^{8} - 3 x^{7} + 14 x^{6} - 21 x^{5} + 84 x^{4} - 147 x^{3} - 180 x^{2} + 225 x + 393$ |
$9$ |
[3,3] |
$-\,3^{13}\cdot 5^{2}\cdot 7^{8}$ |
$3$ |
$39.4184979272$ |
$85.6761895030179$ |
|
|
? |
$(C_3^3:C_3):C_2$ (as 9T22) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$6684.68696439$ |
| 9.3.232383647913984.1 |
$x^{9} - 3 x^{8} + 18 x^{7} - 49 x^{6} + 105 x^{5} - 189 x^{4} + 126 x^{3} + 135 x^{2} - 384 x + 246$ |
$9$ |
[3,3] |
$-\,2^{11}\cdot 3^{9}\cdot 7^{8}$ |
$3$ |
$39.4679948414$ |
$104.795937657486$ |
|
|
? |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$12040.1561403$ |
| 9.5.260949389829184.1 |
$x^{9} - 3 x^{8} + 18 x^{7} - 28 x^{6} + 28 x^{5} + 14 x^{4} - 70 x^{3} + 16 x^{2} + 15 x + 1$ |
$9$ |
[5,2] |
$2^{6}\cdot 7^{8}\cdot 29^{4}$ |
$3$ |
$39.979705189$ |
$111.86221638703684$ |
|
|
? |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[3]$ |
$[3]$ |
$2$ |
$6$ |
$7689.70545092$ |
| 9.1.262658745562500.1 |
$x^{9} - 7 x^{6} - 7 x^{3} - 14$ |
$9$ |
[1,4] |
$2^{2}\cdot 3^{6}\cdot 5^{6}\cdot 7^{8}$ |
$4$ |
$40.0087194976$ |
$94.29884823382486$ |
|
|
? |
$(C_3^3:C_3):C_2$ (as 9T21) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$2764.78209461$ |
| 9.1.309844863885312.1 |
$x^{9} - 2 x^{8} - 13 x^{7} + 42 x^{6} + 49 x^{5} - 280 x^{4} + 21 x^{3} + 706 x^{2} - 208 x - 694$ |
$9$ |
[1,4] |
$2^{13}\cdot 3^{8}\cdot 7^{8}$ |
$3$ |
$40.7499560438$ |
$72.39824639808542$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$14404.9568571$ |
| 9.1.368947264000000.5 |
$x^{9} - 3 x^{8} + 18 x^{7} - 28 x^{6} + 42 x^{5} + 42 x^{4} - 56 x^{3} - 124 x^{2} + 64 x + 64$ |
$9$ |
[1,4] |
$2^{12}\cdot 5^{6}\cdot 7^{8}$ |
$3$ |
$41.5481401808$ |
$86.24486619412892$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$30107.4596023$ |
| 9.1.446426189440000.1 |
$x^{9} - 3 x^{8} + 4 x^{7} + 28 x^{6} - 42 x^{5} + 126 x^{3} - 194 x^{2} + 120 x - 20$ |
$9$ |
[1,4] |
$2^{10}\cdot 5^{4}\cdot 7^{8}\cdot 11^{2}$ |
$4$ |
$42.437516718$ |
$105.37872268127877$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$13255.0672117$ |
| 9.3.464767295827968.1 |
$x^{9} - 2 x^{8} + 8 x^{7} + 14 x^{6} - 70 x^{5} + 28 x^{4} + 91 x^{3} - 134 x^{2} + 86 x - 36$ |
$9$ |
[3,3] |
$-\,2^{12}\cdot 3^{9}\cdot 7^{8}$ |
$3$ |
$42.627792203$ |
$82.87530378777383$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
$[3]$ |
$[6]$ |
$2$ |
$5$ |
$40707.8251304$ |
