| 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 |
| 9.1.56234858819328.3 |
$x^{9} - 9 x^{6} + 54 x^{5} - 90 x^{4} - 48 x^{3} + 270 x^{2} - 252 x + 76$ |
$9$ |
[1,4] |
$2^{8}\cdot 3^{22}\cdot 7$ |
$3$ |
$33.7115251536$ |
$109.74643307820273$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$19512.1723531$ |
| 9.1.514147280633856.10 |
$x^{9} - 9 x^{7} - 18 x^{6} + 27 x^{5} + 108 x^{4} + 33 x^{3} - 162 x^{2} - 180 x + 328$ |
$9$ |
[1,4] |
$2^{14}\cdot 3^{22}$ |
$2$ |
$43.1087353613$ |
$98.65722338828127$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
trivial |
$2$ |
$4$ |
$72044.8322711$ |
| 9.1.3691950281939241.12 |
$x^{9} + 9 x^{7} - 9 x^{6} + 63 x^{4} - 147 x^{3} + 378 x^{2} - 567 x + 427$ |
$9$ |
[1,4] |
$3^{22}\cdot 7^{6}$ |
$2$ |
$53.6654893413$ |
$74.22407040173468$ |
|
|
? |
$(C_9:C_3):C_2$ (as 9T10) |
trivial |
$2$ |
$4$ |
$23588.5249508$ |
| 9.3.4016775629952000.6 |
$x^{9} + 9 x^{7} - 36 x^{6} - 81 x^{5} - 378 x^{4} + 441 x^{3} + 1134 x^{2} + 3240 x - 900$ |
$9$ |
[3,3] |
$-\,2^{10}\cdot 3^{22}\cdot 5^{3}$ |
$3$ |
$54.1706659735$ |
$82.63323022548818$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
$[2]$ |
$2$ |
$5$ |
$73483.4568235$ |
| 9.3.4016775629952000.12 |
$x^{9} - 108 x^{5} - 288 x^{4} - 300 x^{3} - 432 x^{2} - 576 x - 256$ |
$9$ |
[3,3] |
$-\,2^{10}\cdot 3^{22}\cdot 5^{3}$ |
$3$ |
$54.1706659735$ |
$82.63323022548818$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$5$ |
$63592.1144326$ |
| 9.3.4016775629952000.22 |
$x^{9} - 9 x^{7} - 36 x^{6} + 27 x^{5} + 216 x^{4} + 213 x^{3} - 324 x^{2} - 720 x + 832$ |
$9$ |
[3,3] |
$-\,2^{10}\cdot 3^{22}\cdot 5^{3}$ |
$3$ |
$54.1706659735$ |
$82.63323022548818$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$5$ |
$215088.754448$ |
| 9.5.5020969537440000.1 |
$x^{9} - 9 x^{7} - 18 x^{6} + 27 x^{5} + 108 x^{4} + 33 x^{3} - 162 x^{2} - 180 x - 50$ |
$9$ |
[5,2] |
$2^{8}\cdot 3^{22}\cdot 5^{4}$ |
$3$ |
$55.5305473288$ |
$73.61783888368296$ |
|
|
? |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
trivial |
$2$ |
$6$ |
$234755.501477$ |
| 9.5.5020969537440000.8 |
$x^{9} - 9 x^{7} + 27 x^{5} - 39 x^{3} + 36 x - 14$ |
$9$ |
[5,2] |
$2^{8}\cdot 3^{22}\cdot 5^{4}$ |
$3$ |
$55.5305473288$ |
$110.0843456508555$ |
|
|
✓ |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
trivial |
$2$ |
$6$ |
$237674.044075$ |
| 9.5.5020969537440000.10 |
$x^{9} - 18 x^{7} - 18 x^{6} - 162 x^{4} + 90 x^{3} + 1296 x^{2} + 1296 x + 90$ |
$9$ |
[5,2] |
$2^{8}\cdot 3^{22}\cdot 5^{4}$ |
$3$ |
$55.5305473288$ |
$90.80423878057753$ |
|
|
? |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
trivial |
$2$ |
$6$ |
$182283.930976$ |
| 9.1.19288556575029504.4 |
$x^{9} + 18 x^{7} - 36 x^{6} + 108 x^{5} - 324 x^{4} + 438 x^{3} - 216 x^{2} - 261 x + 428$ |
$9$ |
[1,4] |
$2^{8}\cdot 3^{22}\cdot 7^{4}$ |
$3$ |
$64.4878276852$ |
$115.6054485880716$ |
|
|
? |
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ (as 9T32) |
trivial |
$2$ |
$4$ |
$248974.180822$ |
| 9.1.31381059609000000.2 |
$x^{9} - 15 x^{6} - 162 x^{4} - 645 x^{3} - 540 x^{2} + 270 x - 1205$ |
$9$ |
[1,4] |
$2^{6}\cdot 3^{22}\cdot 5^{6}$ |
$3$ |
$68.0711467738$ |
$138.69758434941596$ |
|
|
|
$A_9$ (as 9T33) |
trivial |
$2$ |
$4$ |
$655389.004239$ |
| 9.1.32134205039616000.13 |
$x^{9} + 18 x^{7} - 9 x^{6} + 108 x^{5} - 108 x^{4} + 456 x^{3} - 324 x^{2} + 1440 x - 1760$ |
$9$ |
[1,4] |
$2^{13}\cdot 3^{22}\cdot 5^{3}$ |
$3$ |
$68.2507623469$ |
$220.60425796757903$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$881346.802929$ |
| 9.5.32134205039616000.14 |
$x^{9} + 9 x^{7} - 18 x^{6} - 81 x^{5} - 180 x^{4} - 759 x^{3} + 702 x^{2} + 2484 x + 1192$ |
$9$ |
[5,2] |
$2^{13}\cdot 3^{22}\cdot 5^{3}$ |
$3$ |
$68.2507623469$ |
$196.5360506396169$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$6$ |
$644832.906467$ |
| 9.1.32134205039616000.20 |
$x^{9} - 36 x^{6} + 54 x^{5} + 72 x^{4} + 276 x^{3} - 216 x^{2} - 576 x - 896$ |
$9$ |
[1,4] |
$2^{13}\cdot 3^{22}\cdot 5^{3}$ |
$3$ |
$68.2507623469$ |
$220.60425796757903$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$496267.807663$ |
| 9.1.32134205039616000.29 |
$x^{9} - 18 x^{7} + 162 x^{5} - 72 x^{4} + 1464 x^{3} + 3456 x^{2} + 1728 x + 256$ |
$9$ |
[1,4] |
$2^{13}\cdot 3^{22}\cdot 5^{3}$ |
$3$ |
$68.2507623469$ |
$220.60425796757903$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$525468.53872$ |
| 9.3.40167756299520000.4 |
$x^{9} - 18 x^{7} - 36 x^{6} + 81 x^{5} + 216 x^{4} - 288 x^{3} - 324 x^{2} - 1440$ |
$9$ |
[3,3] |
$-\,2^{11}\cdot 3^{22}\cdot 5^{4}$ |
$3$ |
$69.9641054917$ |
$116.86103488758374$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$5$ |
$559022.15057$ |
| 9.3.40167756299520000.8 |
$x^{9} - 18 x^{7} - 18 x^{6} + 81 x^{5} + 54 x^{4} - 693 x^{3} - 1620 x^{2} - 1296 x - 396$ |
$9$ |
[3,3] |
$-\,2^{11}\cdot 3^{22}\cdot 5^{4}$ |
$3$ |
$69.9641054917$ |
$174.74800609139888$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$5$ |
$411501.543412$ |
| 9.3.40167756299520000.14 |
$x^{9} + 9 x^{7} - 18 x^{6} + 108 x^{4} - 612 x^{3} + 1296 x^{2} - 1620 x + 792$ |
$9$ |
[3,3] |
$-\,2^{11}\cdot 3^{22}\cdot 5^{4}$ |
$3$ |
$69.9641054917$ |
$116.86103488758374$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$5$ |
$963758.728091$ |
| 9.3.160671025198080000.6 |
$x^{9} - 36 x^{7} - 54 x^{6} + 432 x^{5} + 1296 x^{4} - 768 x^{3} - 7776 x^{2} - 11520 x - 5440$ |
$9$ |
[3,3] |
$-\,2^{13}\cdot 3^{22}\cdot 5^{4}$ |
$3$ |
$81.6151607841$ |
$116.86103488758374$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$5$ |
$1116976.13898$ |
| 9.3.160671025198080000.23 |
$x^{9} - 18 x^{7} - 180 x^{6} - 36 x^{4} - 714 x^{3} + 432 x^{2} - 1296 x + 32$ |
$9$ |
[3,3] |
$-\,2^{13}\cdot 3^{22}\cdot 5^{4}$ |
$3$ |
$81.6151607841$ |
$293.8899437899832$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$5$ |
$1278940.1446$ |
| 9.3.160671025198080000.35 |
$x^{9} + 36 x^{7} - 36 x^{6} + 162 x^{5} - 864 x^{4} - 18 x^{3} - 5184 x^{2} - 2592 x + 2880$ |
$9$ |
[3,3] |
$-\,2^{13}\cdot 3^{22}\cdot 5^{4}$ |
$3$ |
$81.6151607841$ |
$293.8899437899832$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$5$ |
$923521.718381$ |
| 9.3.160671025198080000.46 |
$x^{9} - 18 x^{7} - 36 x^{6} + 1080 x^{4} - 396 x^{3} - 1296 x^{2} - 15552 x + 27072$ |
$9$ |
[3,3] |
$-\,2^{13}\cdot 3^{22}\cdot 5^{4}$ |
$3$ |
$81.6151607841$ |
$293.8899437899832$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$5$ |
$1161306.78414$ |
| 9.3.257073640316928000.5 |
$x^{9} - 18 x^{7} + 486 x^{5} - 504 x^{4} - 3180 x^{3} + 4752 x^{2} - 2160 x + 256$ |
$9$ |
[3,3] |
$-\,2^{16}\cdot 3^{22}\cdot 5^{3}$ |
$3$ |
$85.9905721522$ |
$220.60425796757903$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$5$ |
$4309646.10645$ |
| 9.1.308616905200472064.2 |
$x^{9} - 18 x^{7} - 66 x^{6} - 18 x^{5} + 1800 x^{4} + 8136 x^{3} + 21204 x^{2} + 28386 x + 28888$ |
$9$ |
[1,4] |
$2^{12}\cdot 3^{22}\cdot 7^{4}$ |
$3$ |
$87.754391047$ |
$163.49079327747643$ |
|
|
? |
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ (as 9T32) |
trivial |
$2$ |
$4$ |
$582934.642149$ |
| 9.1.321342050396160000.8 |
$x^{9} + 27 x^{7} - 54 x^{6} + 216 x^{5} - 612 x^{4} + 1104 x^{3} - 1728 x^{2} + 2988 x - 6952$ |
$9$ |
[1,4] |
$2^{14}\cdot 3^{22}\cdot 5^{4}$ |
$3$ |
$88.1492492461$ |
$174.74800609139888$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[2]$ |
$2$ |
$4$ |
$892788.582445$ |
| 9.3.401677562995200000.3 |
$x^{9} - 18 x^{7} - 108 x^{6} - 324 x^{5} - 36 x^{4} + 1842 x^{3} + 5940 x^{2} + 14904 x - 11056$ |
$9$ |
[3,3] |
$-\,2^{12}\cdot 3^{22}\cdot 5^{5}$ |
$3$ |
$90.3621170109$ |
$247.13100021211253$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$5$ |
$1956781.59102$ |
| 9.7.401677562995200000.3 |
$x^{9} + 9 x^{7} - 36 x^{6} - 243 x^{5} + 324 x^{4} + 711 x^{3} - 324 x^{2} - 648 x - 144$ |
$9$ |
[7,1] |
$-\,2^{12}\cdot 3^{22}\cdot 5^{5}$ |
$3$ |
$90.3621170109$ |
$247.13100021211253$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
$[2]$ |
$2$ |
$7$ |
$3023076.75114$ |
| 9.7.401677562995200000.7 |
$x^{9} - 54 x^{7} + 810 x^{5} - 3510 x^{3} - 4860 x^{2} + 9720 x + 10800$ |
$9$ |
[7,1] |
$-\,2^{12}\cdot 3^{22}\cdot 5^{5}$ |
$3$ |
$90.3621170109$ |
$282.6016721635652$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$7$ |
$5169691.74729$ |
| 9.1.784526490225000000.5 |
$x^{9} - 15 x^{6} + 165 x^{3} - 540 x^{2} + 270 x - 395$ |
$9$ |
[1,4] |
$2^{6}\cdot 3^{22}\cdot 5^{8}$ |
$3$ |
$97.3396397765$ |
$97.33963977650902$ |
|
|
? |
$A_9$ (as 9T33) |
trivial |
$2$ |
$4$ |
$791075.476308$ |
| 9.5.803355125990400000.7 |
$x^{9} - 72 x^{7} - 180 x^{6} + 486 x^{5} + 540 x^{4} - 2070 x^{3} + 3240 x^{2} - 7200$ |
$9$ |
[5,2] |
$2^{13}\cdot 3^{22}\cdot 5^{5}$ |
$3$ |
$97.5964845046$ |
$237.6387330670474$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$6$ |
$4750268.234$ |
| 9.5.803355125990400000.28 |
$x^{9} - 9 x^{7} - 306 x^{6} + 27 x^{5} + 1836 x^{4} + 465 x^{3} - 2754 x^{2} - 1476 x + 1832$ |
$9$ |
[5,2] |
$2^{13}\cdot 3^{22}\cdot 5^{5}$ |
$3$ |
$97.5964845046$ |
$293.8899437899832$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$6$ |
$3819373.50956$ |
| 9.5.803355125990400000.37 |
$x^{9} - 72 x^{7} - 180 x^{6} + 1296 x^{5} + 6480 x^{4} + 6300 x^{3} - 6480 x^{2} + 14400$ |
$9$ |
[5,2] |
$2^{13}\cdot 3^{22}\cdot 5^{5}$ |
$3$ |
$97.5964845046$ |
$336.0719192485781$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$6$ |
$4371888.78812$ |
| 9.1.1285368201584640000.7 |
$x^{9} - 18 x^{7} - 36 x^{6} - 405 x^{5} - 1836 x^{4} - 1800 x^{3} - 12960 x^{2} - 94608 x - 163008$ |
$9$ |
[1,4] |
$2^{16}\cdot 3^{22}\cdot 5^{4}$ |
$3$ |
$102.828659062$ |
$262.3441531749407$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[2]$ |
$2$ |
$4$ |
$3695334.77015$ |
| 9.1.128...000.31 |
$x^{9} - 54 x^{6} + 135 x^{5} + 360 x^{4} + 1914 x^{3} - 6750 x^{2} - 5760 x - 2200$ |
$9$ |
[1,4] |
$2^{16}\cdot 3^{22}\cdot 5^{4}$ |
$3$ |
$102.828659062$ |
$247.61990726405807$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
trivial |
$2$ |
$4$ |
$3947241.25308$ |
| 9.1.128...000.35 |
$x^{9} - 9 x^{7} - 18 x^{6} + 27 x^{5} + 108 x^{4} + 249 x^{3} - 162 x^{2} - 828 x - 968$ |
$9$ |
[1,4] |
$2^{16}\cdot 3^{22}\cdot 5^{4}$ |
$3$ |
$102.828659062$ |
$220.60425796757903$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
trivial |
$2$ |
$4$ |
$14265232.2326$ |
| 9.1.128...000.37 |
$x^{9} - 9 x^{7} + 27 x^{5} - 39 x^{3} + 36 x - 176$ |
$9$ |
[1,4] |
$2^{16}\cdot 3^{22}\cdot 5^{4}$ |
$3$ |
$102.828659062$ |
$392.29600971066077$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
trivial |
$2$ |
$4$ |
$7110699.94754$ |
| 9.1.128...000.43 |
$x^{9} - 72 x^{6} + 378 x^{5} - 1152 x^{4} + 2544 x^{3} + 864 x^{2} - 2304 x + 18176$ |
$9$ |
[1,4] |
$2^{16}\cdot 3^{22}\cdot 5^{4}$ |
$3$ |
$102.828659062$ |
$370.2781265334209$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
trivial |
$2$ |
$4$ |
$3087194.34047$ |
| 9.3.1606710251980800000.1 |
$x^{9} - 54 x^{7} - 72 x^{6} + 945 x^{5} + 1440 x^{4} - 1290 x^{3} + 2160 x^{2} - 73800 x - 188320$ |
$9$ |
[3,3] |
$-\,2^{14}\cdot 3^{22}\cdot 5^{5}$ |
$3$ |
$105.410033571$ |
$224.3010958402078$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$5$ |
$12556335.4443$ |
| 9.3.160...000.17 |
$x^{9} - 27 x^{7} - 18 x^{6} + 216 x^{5} + 288 x^{4} - 984 x^{3} - 2160 x^{2} - 1440 x - 320$ |
$9$ |
[3,3] |
$-\,2^{14}\cdot 3^{22}\cdot 5^{5}$ |
$3$ |
$105.410033571$ |
$224.3010958402078$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$5$ |
$10503470.1551$ |
| 9.5.2008387814976000000.1 |
$x^{9} - 18 x^{7} - 72 x^{6} + 720 x^{4} + 1500 x^{3} + 4320 x^{2} - 2560$ |
$9$ |
[5,2] |
$2^{12}\cdot 3^{22}\cdot 5^{6}$ |
$3$ |
$108.056209997$ |
$251.76946747483663$ |
|
|
? |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
trivial |
$2$ |
$6$ |
$5970589.69784$ |
| 9.3.2570736403169280000.9 |
$x^{9} - 18 x^{7} - 36 x^{6} + 81 x^{5} + 324 x^{4} + 36 x^{3} + 2592 x^{2} - 7776 x - 2304$ |
$9$ |
[3,3] |
$-\,2^{17}\cdot 3^{22}\cdot 5^{4}$ |
$3$ |
$111.061094658$ |
$220.60425796757903$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$5$ |
$10449652.5832$ |
| 9.1.321...000.18 |
$x^{9} - 36 x^{7} - 36 x^{6} + 432 x^{5} + 864 x^{4} - 1344 x^{3} - 5184 x^{2} - 4608 x + 29696$ |
$9$ |
[1,4] |
$2^{15}\cdot 3^{22}\cdot 5^{5}$ |
$3$ |
$113.849133335$ |
$349.49601218279776$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$5456601.98284$ |
| 9.7.4016775629952000000.6 |
$x^{9} - 54 x^{7} - 72 x^{6} + 864 x^{5} + 2304 x^{4} - 4854 x^{3} - 10800 x^{2} + 11520 x - 2560$ |
$9$ |
[7,1] |
$-\,2^{13}\cdot 3^{22}\cdot 5^{6}$ |
$3$ |
$116.707161955$ |
$271.7469814711136$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$7$ |
$9648751.26972$ |
| 9.7.401...000.11 |
$x^{9} - 27 x^{7} - 54 x^{6} - 405 x^{5} + 4860 x^{4} - 4725 x^{3} - 12150 x^{2} + 14580 x + 1080$ |
$9$ |
[7,1] |
$-\,2^{13}\cdot 3^{22}\cdot 5^{6}$ |
$3$ |
$116.707161955$ |
$336.0719192485781$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$7$ |
$10975460.5602$ |
| 9.3.401...000.71 |
$x^{9} - 27 x^{7} - 234 x^{6} + 135 x^{5} + 1800 x^{4} + 2715 x^{3} + 1890 x^{2} + 4500 x + 2920$ |
$9$ |
[3,3] |
$-\,2^{13}\cdot 3^{22}\cdot 5^{6}$ |
$3$ |
$116.707161955$ |
$199.82955876151453$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$5$ |
$5064590.87864$ |
| 9.3.401...000.89 |
$x^{9} + 9 x^{7} - 171 x^{6} - 243 x^{5} + 2394 x^{4} - 1191 x^{3} - 1269 x^{2} - 12744 x + 19112$ |
$9$ |
[3,3] |
$-\,2^{13}\cdot 3^{22}\cdot 5^{6}$ |
$3$ |
$116.707161955$ |
$288.47547119016366$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$5$ |
$3559295.68658$ |
| 9.3.401...000.91 |
$x^{9} - 63 x^{7} - 162 x^{6} + 675 x^{5} + 3240 x^{4} + 7035 x^{3} + 20250 x^{2} + 38700 x + 23800$ |
$9$ |
[3,3] |
$-\,2^{13}\cdot 3^{22}\cdot 5^{6}$ |
$3$ |
$116.707161955$ |
$199.82955876151453$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$5$ |
$8401691.95984$ |
| 9.3.401...000.98 |
$x^{9} - 27 x^{7} - 54 x^{6} + 135 x^{5} + 360 x^{4} - 165 x^{3} + 4590 x^{2} + 26100 x + 34520$ |
$9$ |
[3,3] |
$-\,2^{13}\cdot 3^{22}\cdot 5^{6}$ |
$3$ |
$116.707161955$ |
$199.82955876151453$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$5$ |
$3920375.07769$ |
| 9.3.401...000.110 |
$x^{9} - 90 x^{6} - 675 x^{5} + 7200 x^{4} - 49350 x^{3} + 128250 x^{2} - 360000 x + 373000$ |
$9$ |
[3,3] |
$-\,2^{13}\cdot 3^{22}\cdot 5^{6}$ |
$3$ |
$116.707161955$ |
$305.6291153538865$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$5$ |
$8879071.51647$ |
| 9.1.4937870483207553024.1 |
$x^{9} - 108 x^{6} - 486 x^{5} - 2268 x^{4} + 6696 x^{3} - 34020 x^{2} + 143613 x - 153684$ |
$9$ |
[1,4] |
$2^{16}\cdot 3^{22}\cdot 7^{4}$ |
$3$ |
$119.415297808$ |
$231.2108971761432$ |
|
|
? |
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ (as 9T32) |
trivial |
$2$ |
$4$ |
$4353497.48479$ |
