| 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 |
| 9.1.122854810293.2 |
$x^{9} - 4 x^{6} - 9 x^{5} - 9 x^{4} - 22 x^{3} - 63 x^{2} - 60 x - 25$ |
$9$ |
[1,4] |
$3^{12}\cdot 19\cdot 23^{3}$ |
$3$ |
$17.0669016205$ |
$173.4366645351507$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$96.1003964109$ |
| 9.1.413826729408.1 |
$x^{9} - 9 x^{7} - 20 x^{6} + 18 x^{5} + 126 x^{4} + 113 x^{3} - 180 x^{2} - 492 x - 344$ |
$9$ |
[1,4] |
$2^{6}\cdot 3^{12}\cdot 23^{3}$ |
$3$ |
$19.5324902146$ |
$79.57819934878806$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$4$ |
$137.834045364$ |
| 9.1.413826729408.5 |
$x^{9} - 2 x^{6} - 9 x^{5} - 36 x^{4} - 31 x^{3} - 18 x^{2} - 24 x - 56$ |
$9$ |
[1,4] |
$2^{6}\cdot 3^{12}\cdot 23^{3}$ |
$3$ |
$19.5324902146$ |
$133.83404512948272$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$212.623535$ |
| 9.3.437664515463.4 |
$x^{9} + 6 x^{7} - 8 x^{6} - 9 x^{5} + 3 x^{4} - 36 x^{3} - 18 x^{2} + 45 x + 29$ |
$9$ |
[3,3] |
$-\,3^{12}\cdot 7^{7}$ |
$2$ |
$19.6544162061$ |
$41.99025972869091$ |
|
|
? |
$(C_3^3:C_3):C_2$ (as 9T22) |
trivial |
$2$ |
$5$ |
$209.553815143$ |
| 9.1.724324322304.1 |
$x^{9} + 6 x^{7} - 10 x^{6} + 18 x^{5} - 48 x^{4} + 90 x^{3} - 144 x^{2} + 144 x - 56$ |
$9$ |
[1,4] |
$2^{10}\cdot 3^{12}\cdot 11^{3}$ |
$3$ |
$20.7859721457$ |
$69.33776910290672$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$4$ |
$631.456838006$ |
| 9.1.743594904405.2 |
$x^{9} - 9 x^{7} - 9 x^{6} + 27 x^{5} + 54 x^{4} - 3 x^{3} - 81 x^{2} - 72 x - 43$ |
$9$ |
[1,4] |
$3^{12}\cdot 5\cdot 23^{4}$ |
$3$ |
$20.8467029629$ |
$194.84132462663933$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$219.097446943$ |
| 9.1.743594904405.3 |
$x^{9} - 6 x^{7} - x^{6} + 12 x^{4} + 238 x^{3} + 612 x^{2} + 618 x + 223$ |
$9$ |
[1,4] |
$3^{12}\cdot 5\cdot 23^{4}$ |
$3$ |
$20.8467029629$ |
$194.84132462663933$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$218.79617401$ |
| 9.1.1215484220268.1 |
$x^{9} + 3 x^{7} - 3 x^{6} + 9 x^{5} + 24 x^{4} + 53 x^{3} - 42 x - 20$ |
$9$ |
[1,4] |
$2^{2}\cdot 3^{12}\cdot 83^{3}$ |
$3$ |
$22.016583414$ |
$151.1712611235037$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$990.277337179$ |
| 9.1.1215484220268.3 |
$x^{9} + 6 x^{7} - 11 x^{6} + 18 x^{5} + 3 x^{4} + 12 x^{3} + 36 x^{2} - 63 x + 38$ |
$9$ |
[1,4] |
$2^{2}\cdot 3^{12}\cdot 83^{3}$ |
$3$ |
$22.016583414$ |
$151.1712611235037$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$1159.25668361$ |
| 9.1.1267567564032.2 |
$x^{9} - 9 x^{7} + 27 x^{5} - 21 x^{3} - 18 x - 34$ |
$9$ |
[1,4] |
$2^{8}\cdot 3^{12}\cdot 7\cdot 11^{3}$ |
$4$ |
$22.1194624563$ |
$163.43580951054722$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$826.697305032$ |
| 9.1.1746349138224.1 |
$x^{9} - 3 x^{7} - 11 x^{6} - 9 x^{5} + 57 x^{4} + 102 x^{3} + 9 x^{2} - 126 x - 124$ |
$9$ |
[1,4] |
$2^{4}\cdot 3^{12}\cdot 59^{3}$ |
$3$ |
$22.9211702012$ |
$180.24830672403283$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$950.17792021$ |
| 9.1.1746349138224.3 |
$x^{9} - 2 x^{6} + 18 x^{5} + 18 x^{4} - 31 x^{3} + 36 x^{2} + 12 x + 16$ |
$9$ |
[1,4] |
$2^{4}\cdot 3^{12}\cdot 59^{3}$ |
$3$ |
$22.9211702012$ |
$180.24830672403283$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$1007.79818948$ |
| 9.1.2217852627921.3 |
$x^{9} + 12 x^{7} - 15 x^{6} + 63 x^{5} - 114 x^{4} + 206 x^{3} - 243 x^{2} + 282 x - 97$ |
$9$ |
[1,4] |
$3^{12}\cdot 7^{3}\cdot 23^{3}$ |
$3$ |
$23.5380400954$ |
$105.27206262960769$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$4$ |
$301.213683703$ |
| 9.5.2563463590569.1 |
$x^{9} + 3 x^{7} - 12 x^{6} - 18 x^{5} - 24 x^{4} + 14 x^{3} + 135 x^{2} + 48 x - 43$ |
$9$ |
[5,2] |
$3^{12}\cdot 7^{6}\cdot 41$ |
$3$ |
$23.9198566487$ |
$194.39756288392405$ |
|
|
|
$S_3 \wr C_3 $ (as 9T28) |
trivial |
$2$ |
$6$ |
$1032.03163521$ |
| 9.5.2563463590569.4 |
$x^{9} - 9 x^{7} + 27 x^{5} - 48 x^{3} + 63 x - 7$ |
$9$ |
[5,2] |
$3^{12}\cdot 7^{6}\cdot 41$ |
$3$ |
$23.9198566487$ |
$194.39756288392405$ |
|
|
? |
$S_3 \wr C_3 $ (as 9T28) |
trivial |
$2$ |
$6$ |
$654.299031737$ |
| 9.1.2897297289216.1 |
$x^{9} + 9 x^{7} - 2 x^{6} - 9 x^{5} - 108 x^{4} - 193 x^{3} - 450 x^{2} - 348 x - 344$ |
$9$ |
[1,4] |
$2^{12}\cdot 3^{12}\cdot 11^{3}$ |
$3$ |
$24.2474401237$ |
$138.67553820581344$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$1633.79401441$ |
| 9.1.2897297289216.5 |
$x^{9} + 6 x^{7} - 8 x^{6} + 18 x^{5} - 24 x^{4} + 78 x^{3} + 36 x^{2} + 72 x - 16$ |
$9$ |
[1,4] |
$2^{12}\cdot 3^{12}\cdot 11^{3}$ |
$3$ |
$24.2474401237$ |
$138.67553820581344$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$1098.06926077$ |
| 9.3.4001504141376.5 |
$x^{9} + 3 x^{7} - 18 x^{5} - 42 x^{4} - 55 x^{3} + 84 x + 56$ |
$9$ |
[3,3] |
$-\,2^{6}\cdot 3^{12}\cdot 7^{6}$ |
$3$ |
$25.1331561847$ |
$60.71959739511856$ |
|
|
? |
$(C_3^3:C_3):C_2$ (as 9T22) |
trivial |
$2$ |
$5$ |
$567.172095404$ |
| 9.1.6985396552896.7 |
$x^{9} + 6 x^{7} - 8 x^{6} + 45 x^{5} + 12 x^{4} + 252 x^{3} + 252 x^{2} + 144 x - 16$ |
$9$ |
[1,4] |
$2^{6}\cdot 3^{12}\cdot 59^{3}$ |
$3$ |
$26.7382106608$ |
$202.32188356975402$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$1187.84642973$ |
| 9.1.6985396552896.13 |
$x^{9} + 3 x^{7} - 6 x^{6} - 18 x^{5} + 84 x^{4} - 172 x^{3} + 432 x^{2} - 672 x + 416$ |
$9$ |
[1,4] |
$2^{6}\cdot 3^{12}\cdot 59^{3}$ |
$3$ |
$26.7382106608$ |
$127.45479998195638$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$4$ |
$3276.40608972$ |
| 9.5.8614105911360.4 |
$x^{9} - 12 x^{7} - 11 x^{6} + 18 x^{5} + 66 x^{4} + 57 x^{3} - 180 x^{2} - 72 x + 137$ |
$9$ |
[5,2] |
$2^{6}\cdot 3^{12}\cdot 5\cdot 37^{3}$ |
$4$ |
$27.3681586396$ |
$179.13181333718447$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$6$ |
$3905.86954177$ |
| 9.3.9518014776384.6 |
$x^{9} - 6 x^{7} + 9 x^{5} - 24 x^{4} + 17 x^{3} + 162 x^{2} - 276 x + 56$ |
$9$ |
[3,3] |
$-\,2^{6}\cdot 3^{12}\cdot 23^{4}$ |
$3$ |
$27.6732845222$ |
$133.83404512948272$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$5$ |
$884.530528983$ |
| 9.1.9564781584384.2 |
$x^{9} - 9 x^{7} - 18 x^{6} + 27 x^{5} + 108 x^{4} + 15 x^{3} - 162 x^{2} - 126 x - 52$ |
$9$ |
[1,4] |
$2^{13}\cdot 3^{12}\cdot 13^{3}$ |
$3$ |
$27.6883597208$ |
$119.65527845021471$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$4$ |
$8161.67272412$ |
| 9.5.12825821008845.3 |
$x^{9} - 9 x^{7} - 9 x^{6} + 27 x^{5} + 54 x^{4} - 39 x^{3} - 81 x^{2} + 36 x + 25$ |
$9$ |
[5,2] |
$3^{12}\cdot 5\cdot 13^{6}$ |
$3$ |
$28.605787512$ |
$102.56852212999695$ |
|
|
? |
$S_3 \wr C_3 $ (as 9T28) |
trivial |
$2$ |
$6$ |
$2592.47905281$ |
| 9.1.13272386098176.1 |
$x^{9} - 18 x^{7} - 22 x^{6} + 126 x^{5} + 252 x^{4} - 346 x^{3} - 1440 x^{2} - 1392 x - 448$ |
$9$ |
[1,4] |
$2^{10}\cdot 3^{12}\cdot 29^{3}$ |
$3$ |
$28.7147768238$ |
$112.58292317660072$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$4$ |
$5214.52130619$ |
| 9.1.13272386098176.3 |
$x^{9} - 3 x^{7} - 10 x^{6} - 36 x^{5} - 66 x^{4} - 102 x^{3} - 36 x^{2} + 54 x - 56$ |
$9$ |
[1,4] |
$2^{10}\cdot 3^{12}\cdot 29^{3}$ |
$3$ |
$28.7147768238$ |
$112.58292317660072$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$4$ |
$4527.11051443$ |
| 9.1.13272386098176.7 |
$x^{9} + 3 x^{7} - 10 x^{6} - 42 x^{4} + 76 x^{3} + 72 x^{2} + 150 x + 16$ |
$9$ |
[1,4] |
$2^{10}\cdot 3^{12}\cdot 29^{3}$ |
$3$ |
$28.7147768238$ |
$112.58292317660072$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$4$ |
$4956.65301294$ |
| 9.3.13943243204352.1 |
$x^{9} - 9 x^{7} - 18 x^{6} + 27 x^{5} + 108 x^{4} + 69 x^{3} - 162 x^{2} - 288 x - 106$ |
$9$ |
[3,3] |
$-\,2^{8}\cdot 3^{12}\cdot 7\cdot 11^{4}$ |
$4$ |
$28.8725317074$ |
$163.43580951054722$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$5$ |
$5295.57705246$ |
| 9.1.18589872610125.3 |
$x^{9} + 12 x^{7} - 17 x^{6} + 81 x^{5} + 6 x^{4} + 337 x^{3} - 180 x^{2} - 1371 x - 1069$ |
$9$ |
[1,4] |
$3^{12}\cdot 5^{3}\cdot 23^{4}$ |
$3$ |
$29.8101420808$ |
$88.9711316354598$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$4$ |
$1842.26706588$ |
| 9.1.20254551489792.1 |
$x^{9} + 3 x^{7} - 18 x^{6} + 36 x^{5} - 42 x^{4} + 143 x^{3} - 54 x^{2} + 129 x - 70$ |
$9$ |
[1,4] |
$2^{8}\cdot 3^{12}\cdot 53^{3}$ |
$3$ |
$30.095565939$ |
$120.80033112799401$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$4$ |
$12445.630547$ |
| 9.3.22635135072000.2 |
$x^{9} - 12 x^{7} - 10 x^{6} + 72 x^{5} - 156 x^{4} - 264 x^{3} + 1152 x^{2} + 288 x - 1892$ |
$9$ |
[3,3] |
$-\,2^{8}\cdot 3^{12}\cdot 5^{3}\cdot 11^{3}$ |
$4$ |
$30.4694621321$ |
$113.9367316796979$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$5$ |
$3101.71052994$ |
| 9.1.23332385664000.3 |
$x^{9} - 9 x^{7} - 2 x^{6} + 45 x^{5} + 54 x^{4} - 7 x^{3} - 72 x^{2} - 60 x - 20$ |
$9$ |
[1,4] |
$2^{10}\cdot 3^{12}\cdot 5^{3}\cdot 7^{3}$ |
$4$ |
$30.5723479713$ |
$123.68229749346443$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$4$ |
$5988.81081552$ |
| 9.3.24056199802944.8 |
$x^{9} - 12 x^{7} - x^{6} + 45 x^{5} + 6 x^{4} - 108 x^{3} - 63 x^{2} - 18 x - 2$ |
$9$ |
[3,3] |
$-\,2^{6}\cdot 3^{12}\cdot 29^{4}$ |
$3$ |
$30.6763018472$ |
$89.35712534209549$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$5$ |
$7875.71771489$ |
| 9.3.27565138916352.1 |
$x^{9} - 22 x^{6} - 36 x^{5} + 36 x^{4} + 194 x^{3} + 72 x^{2} - 168 x - 232$ |
$9$ |
[3,3] |
$-\,2^{10}\cdot 3^{12}\cdot 37^{3}$ |
$3$ |
$31.1439256517$ |
$127.16698767376562$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$5$ |
$7960.64395103$ |
| 9.3.27565138916352.5 |
$x^{9} + 9 x^{7} - 14 x^{6} - 9 x^{5} - 18 x^{4} + 5 x^{3} + 36 x^{2} + 12 x - 20$ |
$9$ |
[3,3] |
$-\,2^{10}\cdot 3^{12}\cdot 37^{3}$ |
$3$ |
$31.1439256517$ |
$127.16698767376562$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$5$ |
$8905.62727354$ |
| 9.3.27565138916352.6 |
$x^{9} + 3 x^{7} - 12 x^{6} - 45 x^{5} - 60 x^{4} + 5 x^{3} + 48 x - 16$ |
$9$ |
[3,3] |
$-\,2^{10}\cdot 3^{12}\cdot 37^{3}$ |
$3$ |
$31.1439256517$ |
$127.16698767376562$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$5$ |
$4252.25763519$ |
| 9.3.29165482080000.2 |
$x^{9} - 6 x^{7} - 2 x^{6} + 42 x^{4} - 122 x^{3} + 144 x^{2} - 120 x + 38$ |
$9$ |
[3,3] |
$-\,2^{8}\cdot 3^{12}\cdot 5^{4}\cdot 7^{3}$ |
$4$ |
$31.3398254473$ |
$90.89006935501826$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$5$ |
$6010.74275771$ |
| 9.1.29861100085248.9 |
$x^{9} - 15 x^{7} - 10 x^{6} + 54 x^{5} + 84 x^{4} + 106 x^{3} + 180 x^{2} + 204 x + 88$ |
$9$ |
[1,4] |
$2^{13}\cdot 3^{12}\cdot 19^{3}$ |
$3$ |
$31.4220111306$ |
$144.65617792624155$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$4$ |
$11142.1663104$ |
| 9.3.31870270181376.1 |
$x^{9} - 3 x^{7} - 8 x^{6} - 9 x^{5} + 48 x^{4} - 27 x^{3} + 144 x^{2} - 288 x + 128$ |
$9$ |
[3,3] |
$-\,2^{12}\cdot 3^{12}\cdot 11^{4}$ |
$3$ |
$31.6501807031$ |
$138.67553820581344$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$5$ |
$7453.52358257$ |
| 9.5.32012033131008.2 |
$x^{9} - 24 x^{7} - 6 x^{6} + 171 x^{5} - 30 x^{4} - 535 x^{3} + 540 x^{2} + 1164 x - 344$ |
$9$ |
[5,2] |
$2^{9}\cdot 3^{12}\cdot 7^{6}$ |
$3$ |
$31.6657925274$ |
$144.41635448475137$ |
|
|
? |
$S_3 \wr C_3 $ (as 9T28) |
trivial |
$2$ |
$6$ |
$2724.11992649$ |
| 9.5.34456423645440.7 |
$x^{9} - 2 x^{6} - 36 x^{5} - 54 x^{4} + 32 x^{3} + 90 x^{2} + 30 x - 2$ |
$9$ |
[5,2] |
$2^{8}\cdot 3^{12}\cdot 5\cdot 37^{3}$ |
$4$ |
$31.9257518128$ |
$208.962462169754$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$6$ |
$6236.44535574$ |
| 9.5.34456423645440.9 |
$x^{9} + 6 x^{7} - 20 x^{6} - 36 x^{5} + 102 x^{4} - 168 x^{3} + 468 x^{2} - 576 x + 218$ |
$9$ |
[5,2] |
$2^{8}\cdot 3^{12}\cdot 5\cdot 37^{3}$ |
$4$ |
$31.9257518128$ |
$208.962462169754$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$6$ |
$6480.91753881$ |
| 9.1.35460056351232.2 |
$x^{9} + 12 x^{7} - 19 x^{6} + 27 x^{5} - 42 x^{4} + 52 x^{3} - 117 x^{2} + 24 x - 2$ |
$9$ |
[1,4] |
$2^{9}\cdot 3^{12}\cdot 19^{4}$ |
$3$ |
$32.0277627226$ |
$102.28736435217317$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$4$ |
$6034.40899218$ |
| 9.1.37437359650677.1 |
$x^{9} + 9 x^{7} - 16 x^{6} + 99 x^{5} - 234 x^{4} + 608 x^{3} - 1386 x^{2} + 1461 x - 538$ |
$9$ |
[1,4] |
$3^{12}\cdot 7^{3}\cdot 59^{3}$ |
$3$ |
$32.221445791$ |
$168.60685207686814$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$4$ |
$8439.87025563$ |
| 9.1.38343918811968.3 |
$x^{9} - 9 x^{7} - 9 x^{6} + 27 x^{5} + 54 x^{4} + 24 x^{3} - 81 x^{2} - 153 x - 151$ |
$9$ |
[1,4] |
$2^{6}\cdot 3^{12}\cdot 7\cdot 11^{5}$ |
$4$ |
$32.3072216099$ |
$210.46524630152317$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$1641.08159999$ |
| 9.1.38343918811968.4 |
$x^{9} + 3 x^{7} - x^{6} + 27 x^{5} - 42 x^{4} - 32 x^{3} - 117 x^{2} + 87 x - 47$ |
$9$ |
[1,4] |
$2^{6}\cdot 3^{12}\cdot 7\cdot 11^{5}$ |
$4$ |
$32.3072216099$ |
$210.46524630152317$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$1890.60590522$ |
| 9.1.40831674912000.2 |
$x^{9} - 9 x^{7} - 18 x^{6} + 27 x^{5} + 108 x^{4} - 111 x^{3} - 162 x^{2} + 252 x - 200$ |
$9$ |
[1,4] |
$2^{8}\cdot 3^{12}\cdot 5^{3}\cdot 7^{4}$ |
$4$ |
$32.5336673413$ |
$179.22986928850992$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
trivial |
$2$ |
$4$ |
$5007.12725461$ |
| 9.1.41666436925632.1 |
$x^{9} - 9 x^{7} - 32 x^{6} + 18 x^{5} - 220 x^{3} - 504 x^{2} - 240 x - 128$ |
$9$ |
[1,4] |
$2^{6}\cdot 3^{12}\cdot 107^{3}$ |
$3$ |
$32.6069063366$ |
$171.64141208024532$ |
|
|
|
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$4$ |
$6311.69737045$ |
| 9.1.44350586515773.3 |
$x^{9} - 9 x^{7} - 4 x^{6} + 18 x^{5} + 45 x^{4} + 14 x^{3} + 180 x^{2} - 1095 x + 1037$ |
$9$ |
[1,4] |
$3^{12}\cdot 19^{3}\cdot 23^{3}$ |
$3$ |
$32.8338758675$ |
$173.4366645351507$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$4$ |
$1690.31779579$ |
| 9.1.63740540362752.8 |
$x^{9} + 3 x^{7} - 18 x^{6} + 9 x^{5} - 60 x^{4} + 17 x^{3} - 270 x^{2} - 132 x - 88$ |
$9$ |
[1,4] |
$2^{13}\cdot 3^{12}\cdot 11^{4}$ |
$3$ |
$34.1840859061$ |
$98.05841345002483$ |
|
|
? |
$((C_3^3:C_3):C_2):C_2$ (as 9T24) |
trivial |
$2$ |
$4$ |
$5502.06148205$ |
