| 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 |
| 9.5.16607195993.1 |
$x^{9} - 2 x^{8} - 3 x^{7} + 4 x^{6} + 11 x^{5} - 14 x^{4} - x^{3} + 7 x^{2} - 5 x + 1$ |
$9$ |
[5,2] |
$19^{6}\cdot 353$ |
$2$ |
$13.6643343144$ |
$133.77955695089622$ |
|
|
✓ |
$S_3 \wr C_3 $ (as 9T28) |
trivial |
trivial |
$2$ |
$6$ |
$57.3540745725$ |
| 9.3.24087491072.1 |
$x^{9} - 7 x^{7} - x^{6} + 29 x^{5} + 30 x^{4} - 18 x^{3} - 35 x^{2} - 5 x + 7$ |
$9$ |
[3,3] |
$-\,2^{9}\cdot 19^{6}$ |
$2$ |
$14.2407347178$ |
$20.13944017607579$ |
|
|
? |
$S_3\times C_3$ (as 9T4) |
trivial |
trivial |
$2$ |
$5$ |
$56.715041346$ |
| 9.3.71462693239.1 |
$x^{9} - x^{8} + 2 x^{7} + 6 x^{6} - 6 x^{5} + x^{4} + 14 x^{3} - 2 x^{2} - 7 x - 1$ |
$9$ |
[3,3] |
$-\,7^{2}\cdot 19^{6}\cdot 31$ |
$3$ |
$16.0697388822$ |
$145.07144633184035$ |
|
|
? |
$S_3 \wr C_3 $ (as 9T28) |
trivial |
trivial |
$2$ |
$5$ |
$86.0194742737$ |
| 9.3.81295282368.1 |
$x^{9} - x^{8} - 5 x^{7} + 8 x^{6} + 12 x^{5} - 15 x^{4} - 17 x^{3} + 17 x^{2} + 24 x + 7$ |
$9$ |
[3,3] |
$-\,2^{6}\cdot 3^{3}\cdot 19^{6}$ |
$3$ |
$16.3015718559$ |
$19.577160069200072$ |
|
|
✓ |
$C_3^2 : S_3 $ (as 9T13) |
trivial |
trivial |
$2$ |
$5$ |
$114.39529191$ |
| 9.3.158779848375.1 |
$x^{9} - 2 x^{8} - x^{7} - 6 x^{6} - 6 x^{5} + 20 x^{4} - x^{3} - 6 x^{2} + 16 x - 8$ |
$9$ |
[3,3] |
$-\,3^{3}\cdot 5^{3}\cdot 19^{6}$ |
$3$ |
$17.5603359542$ |
$27.57706419990631$ |
|
|
|
$S_3\times C_3$ (as 9T4) |
trivial |
trivial |
$2$ |
$5$ |
$190.03256306$ |
| 9.1.171482236245.1 |
$x^{9} - 4 x^{8} + 10 x^{7} - 15 x^{6} + 13 x^{5} - 22 x^{4} - 19 x^{2} - 8 x - 20$ |
$9$ |
[1,4] |
$3^{6}\cdot 5\cdot 19^{6}$ |
$3$ |
$17.7111422399$ |
$59.14012455104298$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$130.132436916$ |
| 9.3.182302788875.1 |
$x^{9} - 2 x^{8} + 5 x^{7} - 5 x^{6} + 16 x^{4} - 12 x^{3} + 6 x^{2} - 9 x + 1$ |
$9$ |
[3,3] |
$-\,5^{3}\cdot 19^{6}\cdot 31$ |
$3$ |
$17.831967213$ |
$88.64785871912602$ |
|
|
? |
$S_3 \wr C_3 $ (as 9T28) |
trivial |
trivial |
$2$ |
$5$ |
$108.394191249$ |
| 9.1.243885847104.1 |
$x^{9} - 2 x^{8} + 8 x^{7} - 9 x^{6} + 18 x^{5} - 6 x^{4} + 3 x^{3} + 10 x^{2} - 6 x + 1$ |
$9$ |
[1,4] |
$2^{6}\cdot 3^{4}\cdot 19^{6}$ |
$3$ |
$18.4180206432$ |
$19.577160069200072$ |
|
|
? |
$C_3^2 : C_6$ (as 9T11) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$154.062206808$ |
| 9.7.264962401792.1 |
$x^{9} - 2 x^{8} - 4 x^{7} + 7 x^{6} + x^{5} + x^{4} + x^{3} - 8 x^{2} + x + 1$ |
$9$ |
[7,1] |
$-\,2^{9}\cdot 11\cdot 19^{6}$ |
$3$ |
$18.5884293296$ |
$112.33529586088903$ |
|
|
? |
$S_3 \wr C_3 $ (as 9T28) |
trivial |
trivial |
$2$ |
$7$ |
$395.731027672$ |
| 9.5.278935028449.1 |
$x^{9} - 2 x^{8} - 3 x^{7} + 5 x^{6} - 3 x^{5} + 11 x^{4} - 7 x^{3} - 18 x^{2} + 12 x + 11$ |
$9$ |
[5,2] |
$7^{2}\cdot 11^{2}\cdot 19^{6}$ |
$3$ |
$18.6948748329$ |
$93.17796274551786$ |
|
|
? |
$((C_3 \times (C_3^2 : C_2)) : C_2) : C_3$ (as 9T25) |
trivial |
trivial |
$2$ |
$6$ |
$348.58054135$ |
| 9.9.376367048000.1 |
$x^{9} - 4 x^{8} - 7 x^{7} + 45 x^{6} - 15 x^{5} - 132 x^{4} + 120 x^{3} + 99 x^{2} - 121 x + 7$ |
$9$ |
[9,0] |
$2^{6}\cdot 5^{3}\cdot 19^{6}$ |
$3$ |
$19.3276505956$ |
$25.274004971349576$ |
|
|
✓ |
$S_3\times C_3$ (as 9T4) |
trivial |
trivial |
$2$ |
$8$ |
$653.846068459$ |
| 9.1.476339545125.1 |
$x^{9} - 10 x^{6} + 27 x^{3} + 27$ |
$9$ |
[1,4] |
$3^{4}\cdot 5^{3}\cdot 19^{6}$ |
$3$ |
$19.8402112977$ |
$27.57706419990631$ |
|
|
? |
$S_3^2$ (as 9T8) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$185.219829496$ |
| 9.3.569066976576.1 |
$x^{9} - 3 x^{8} + x^{7} + 11 x^{6} - 23 x^{5} + 15 x^{4} + 12 x^{3} - 22 x^{2} + 9 x + 7$ |
$9$ |
[3,3] |
$-\,2^{6}\cdot 3^{3}\cdot 7\cdot 19^{6}$ |
$4$ |
$20.2362140655$ |
$109.75253002244784$ |
|
|
? |
$S_3 \wr C_3 $ (as 9T28) |
trivial |
trivial |
$2$ |
$5$ |
$360.164354618$ |
| 9.1.650362258944.1 |
$x^{9} - 6 x^{6} - 7 x^{3} - 8$ |
$9$ |
[1,4] |
$2^{9}\cdot 3^{3}\cdot 19^{6}$ |
$3$ |
$20.5386935276$ |
$34.88253362095716$ |
|
|
|
$S_3^2$ (as 9T8) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$324.728402191$ |
| 9.1.975543388416.1 |
$x^{9} - x^{8} + 4 x^{7} + 5 x^{6} + 6 x^{5} + 17 x^{4} - 9 x^{3} - 20 x^{2} + 12 x + 12$ |
$9$ |
[1,4] |
$2^{8}\cdot 3^{4}\cdot 19^{6}$ |
$3$ |
$21.4851559318$ |
$57.840450524538284$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$490.961379494$ |
| 9.5.1032751179712.1 |
$x^{9} - 4 x^{8} + 23 x^{6} - 37 x^{5} + 15 x^{4} + x^{3} - 10 x^{2} + 11 x + 1$ |
$9$ |
[5,2] |
$2^{6}\cdot 7^{3}\cdot 19^{6}$ |
$3$ |
$21.6216289977$ |
$72.07435474130278$ |
|
|
? |
$S_3 \wr C_3 $ (as 9T28) |
trivial |
trivial |
$2$ |
$6$ |
$824.435914341$ |
| 9.1.1036514850192.1 |
$x^{9} - 4 x^{7} - 10 x^{6} - x^{5} + 14 x^{4} + 38 x^{3} + 54 x^{2} + 59 x + 8$ |
$9$ |
[1,4] |
$2^{4}\cdot 3^{4}\cdot 17\cdot 19^{6}$ |
$4$ |
$21.6303699634$ |
$101.69918775706253$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$457.824571516$ |
| 9.3.1180287062528.1 |
$x^{9} - x^{8} - 2 x^{7} - x^{6} + 3 x^{5} + x^{4} - x^{3} + 8 x^{2} - 8 x - 7$ |
$9$ |
[3,3] |
$-\,2^{9}\cdot 7^{2}\cdot 19^{6}$ |
$3$ |
$21.9448168573$ |
$89.61256551149627$ |
|
|
? |
$S_3 \wr C_3 $ (as 9T28) |
trivial |
trivial |
$2$ |
$5$ |
$572.550634428$ |
| 9.3.1220699474307.1 |
$x^{9} - 2 x^{8} - 7 x^{7} + x^{6} + 14 x^{5} + 18 x^{4} + 26 x^{3} + 24 x^{2} + 6 x + 7$ |
$9$ |
[3,3] |
$-\,3^{3}\cdot 19^{6}\cdot 31^{2}$ |
$3$ |
$22.0270596873$ |
$68.66633609922461$ |
|
|
? |
$S_3 \wr C_3 $ (as 9T28) |
trivial |
trivial |
$2$ |
$5$ |
$449.840819072$ |
| 9.1.1234672100964.1 |
$x^{9} - x^{6} + 13 x^{3} - 12$ |
$9$ |
[1,4] |
$2^{2}\cdot 3^{8}\cdot 19^{6}$ |
$3$ |
$22.0549327163$ |
$84.70545209292948$ |
|
|
? |
$(C_3^3:C_3):C_2$ (as 9T21) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$185.141538621$ |
| 9.3.1401543840871.1 |
$x^{9} + 13 x^{7} - 2 x^{6} + 50 x^{5} + 8 x^{4} - 146 x^{3} + 49 x^{2} - 294 x - 343$ |
$9$ |
[3,3] |
$-\,19^{6}\cdot 31^{3}$ |
$2$ |
$22.3677842592$ |
$39.64452763115264$ |
|
|
|
$S_3\times C_3$ (as 9T4) |
trivial |
trivial |
$2$ |
$5$ |
$419.248295936$ |
| 9.3.1401543840871.2 |
$x^{9} - x^{8} - 2 x^{7} - 9 x^{6} + 2 x^{5} + 2 x^{4} + x^{3} - 20 x^{2} - 12 x + 7$ |
$9$ |
[3,3] |
$-\,19^{6}\cdot 31^{3}$ |
$2$ |
$22.3677842592$ |
$124.5385520736989$ |
|
|
? |
$S_3 \wr C_3 $ (as 9T28) |
trivial |
trivial |
$2$ |
$5$ |
$517.368413395$ |
| 9.1.2194972623936.2 |
$x^{9} - 3 x^{8} + 7 x^{7} - 4 x^{6} + 12 x^{5} - 6 x^{4} + 3 x^{3} + 9 x^{2} + 9 x + 18$ |
$9$ |
[1,4] |
$2^{6}\cdot 3^{6}\cdot 19^{6}$ |
$3$ |
$23.5109350045$ |
$74.80699787493549$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$1145.75691096$ |
| 9.9.2215343490409.1 |
$x^{9} - 2 x^{8} - 12 x^{7} + 24 x^{6} + 24 x^{5} - 70 x^{4} + 32 x^{3} + 8 x^{2} - 7 x + 1$ |
$9$ |
[9,0] |
$7^{2}\cdot 19^{6}\cdot 31^{2}$ |
$3$ |
$23.5350797796$ |
$257.12376764520553$ |
|
|
? |
$C_3 \wr C_3 $ (as 9T17) |
trivial |
trivial |
$2$ |
$8$ |
$2001.89818368$ |
| 9.1.2778012227169.2 |
$x^{9} - 10 x^{6} + 46 x^{3} + 27$ |
$9$ |
[1,4] |
$3^{10}\cdot 19^{6}$ |
$2$ |
$24.1344345495$ |
$36.99851410251981$ |
|
|
? |
$C_3^2 : C_6$ (as 9T11) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$768.851190328$ |
| 9.3.3010936384000.1 |
$x^{9} - 3 x^{8} + 10 x^{7} - 12 x^{6} + 11 x^{5} + 7 x^{4} - 37 x^{3} + 7 x^{2} + 7 x + 1$ |
$9$ |
[3,3] |
$-\,2^{9}\cdot 5^{3}\cdot 19^{6}$ |
$3$ |
$24.3513138304$ |
$45.0331572624958$ |
|
|
? |
$S_3\times C_3$ (as 9T4) |
trivial |
trivial |
$2$ |
$5$ |
$313.900302618$ |
| 9.9.3155884743361.1 |
$x^{9} - 2 x^{8} - 16 x^{7} - 2 x^{6} + 50 x^{5} + 36 x^{4} - 30 x^{3} - 36 x^{2} - 11 x - 1$ |
$9$ |
[9,0] |
$7^{2}\cdot 19^{6}\cdot 37^{2}$ |
$3$ |
$24.4788627389$ |
$289.3136404101604$ |
|
|
? |
$C_3 \wr C_3 $ (as 9T17) |
trivial |
trivial |
$2$ |
$8$ |
$2075.02819722$ |
| 9.9.4007556327104.1 |
$x^{9} - 19 x^{7} - 13 x^{6} + 76 x^{5} + 76 x^{4} - 64 x^{3} - 76 x^{2} + 8$ |
$9$ |
[9,0] |
$2^{6}\cdot 11^{3}\cdot 19^{6}$ |
$3$ |
$25.1373770524$ |
$47.23117379794351$ |
|
|
? |
$S_3\times C_3$ (as 9T4) |
trivial |
$[2]$ |
$2$ |
$8$ |
$2558.45118544$ |
| 9.1.4149870117129.1 |
$x^{9} - 3 x^{8} + x^{7} - x^{6} - 18 x^{5} + 76 x^{4} - x^{3} - 138 x^{2} + 64 x - 8$ |
$9$ |
[1,4] |
$3^{6}\cdot 11^{2}\cdot 19^{6}$ |
$3$ |
$25.2350304908$ |
$87.7189804444188$ |
|
|
? |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$447.986291616$ |
| 9.3.4630020378615.1 |
$x^{9} - 9 x^{7} - 2 x^{6} + 27 x^{5} + 12 x^{4} - 13 x^{3} - 18 x^{2} - 42 x - 1$ |
$9$ |
[3,3] |
$-\,3^{9}\cdot 5\cdot 19^{6}$ |
$3$ |
$25.5438872852$ |
$73.97306293888384$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$727.133690024$ |
| 9.1.4938688403856.1 |
$x^{9} - 4 x^{8} + 13 x^{7} - 30 x^{6} + 24 x^{5} + 15 x^{4} - 27 x^{3} + 27 x^{2} - 45 x + 27$ |
$9$ |
[1,4] |
$2^{4}\cdot 3^{8}\cdot 19^{6}$ |
$3$ |
$25.7277194795$ |
$51.306673774406136$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$614.491589389$ |
| 9.1.4938688403856.3 |
$x^{9} - x^{8} - x^{7} + 9 x^{6} - x^{5} - 2 x^{4} + 68 x^{3} - 43 x^{2} + 66 x + 45$ |
$9$ |
[1,4] |
$2^{4}\cdot 3^{8}\cdot 19^{6}$ |
$3$ |
$25.7277194795$ |
$106.72218213274358$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$790.081026375$ |
| 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 |
trivial |
$2$ |
$8$ |
$3257.67673381$ |
| 9.1.6097146177600.1 |
$x^{9} - 3 x^{8} - 2 x^{7} + 11 x^{6} + 12 x^{5} - 13 x^{4} - 29 x^{3} + 40 x - 18$ |
$9$ |
[1,4] |
$2^{6}\cdot 3^{4}\cdot 5^{2}\cdot 19^{6}$ |
$4$ |
$26.3372012927$ |
$91.45378227391092$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$1559.07164084$ |
| 9.3.6240683160531.1 |
$x^{9} - 2 x^{8} - 7 x^{7} - x^{6} + 4 x^{5} + 24 x^{4} + 208 x^{3} + 16 x^{2} + 381 x - 103$ |
$9$ |
[3,3] |
$-\,3^{3}\cdot 17^{3}\cdot 19^{6}$ |
$3$ |
$26.4053822819$ |
$50.849593878531266$ |
|
|
? |
$S_3\times C_3$ (as 9T4) |
trivial |
trivial |
$2$ |
$5$ |
$856.582672097$ |
| 9.5.6296479575397.1 |
$x^{9} - x^{8} - 3 x^{7} + 13 x^{6} - 21 x^{5} - 20 x^{4} + 17 x^{3} + 3 x^{2} + 91 x - 31$ |
$9$ |
[5,2] |
$11\cdot 19^{6}\cdot 23^{3}$ |
$3$ |
$26.4315101889$ |
$113.25637609161963$ |
|
|
? |
$S_3 \wr C_3 $ (as 9T28) |
trivial |
trivial |
$2$ |
$6$ |
$1708.39181343$ |
| 9.3.6584917871808.2 |
$x^{9} - x^{8} + 5 x^{7} - 18 x^{6} + 28 x^{5} - 38 x^{4} + 3 x^{3} + 101 x^{2} - 151 x + 58$ |
$9$ |
[3,3] |
$-\,2^{6}\cdot 3^{7}\cdot 19^{6}$ |
$3$ |
$26.5633823586$ |
$79.51498155343414$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$3336.15708196$ |
| 9.3.6615027235648.2 |
$x^{9} - 3 x^{8} + 16 x^{7} - 30 x^{6} + 69 x^{5} - 79 x^{4} + 59 x^{3} - 15 x^{2} - 25 x - 1$ |
$9$ |
[3,3] |
$-\,2^{6}\cdot 13^{3}\cdot 19^{6}$ |
$3$ |
$26.5768506077$ |
$51.34569922532248$ |
|
|
? |
$C_3^2 : S_3 $ (as 9T13) |
trivial |
trivial |
$2$ |
$5$ |
$741.18348259$ |
| 9.1.7408032605784.1 |
$x^{9} + 3 x^{7} - 4 x^{6} + 3 x^{5} - 27 x^{4} - 19 x^{3} - 42 x^{2} + 18 x - 8$ |
$9$ |
[1,4] |
$2^{3}\cdot 3^{9}\cdot 19^{6}$ |
$3$ |
$26.9133021554$ |
$93.56934575434475$ |
|
|
? |
$S_3\wr S_3$ (as 9T31) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$1816.00907717$ |
| 9.1.7716700631025.1 |
$x^{9} - x^{8} + 9 x^{7} - 9 x^{6} + 30 x^{5} - 54 x^{4} + 5 x^{3} - 116 x^{2} + 60 x + 144$ |
$9$ |
[1,4] |
$3^{8}\cdot 5^{2}\cdot 19^{6}$ |
$3$ |
$27.0356521633$ |
$90.6628546750822$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$3705.3519823$ |
| 9.3.8262009437696.1 |
$x^{9} - 3 x^{8} + 6 x^{7} - 27 x^{5} - 39 x^{4} - 41 x^{3} - 117 x^{2} - 275 x - 121$ |
$9$ |
[3,3] |
$-\,2^{9}\cdot 7^{3}\cdot 19^{6}$ |
$3$ |
$27.2415455073$ |
$53.28395024995941$ |
|
|
? |
$S_3\times C_3$ (as 9T4) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$1012.66331456$ |
| 9.3.8334036681507.1 |
$x^{9} - 4 x^{7} - 8 x^{6} + 18 x^{5} + 15 x^{4} - 12 x^{3} + 9 x^{2} - 39 x + 12$ |
$9$ |
[3,3] |
$-\,3^{11}\cdot 19^{6}$ |
$2$ |
$27.2678314505$ |
$76.9600106616092$ |
|
|
|
$C_3 \wr S_3 $ (as 9T20) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$2167.00437232$ |
| 9.3.8334036681507.2 |
$x^{9} - 4 x^{8} + 18 x^{7} - 42 x^{6} + 78 x^{5} - 90 x^{4} + 75 x^{3} - 138 x^{2} + 27$ |
$9$ |
[3,3] |
$-\,3^{11}\cdot 19^{6}$ |
$2$ |
$27.2678314505$ |
$76.9600106616092$ |
|
|
|
$C_3 \wr S_3 $ (as 9T20) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$1764.05549761$ |
| 9.3.8334036681507.3 |
$x^{9} - 4 x^{8} + 18 x^{7} - 50 x^{6} + 93 x^{5} - 81 x^{4} + 132 x^{3} - 252 x^{2} + 144$ |
$9$ |
[3,3] |
$-\,3^{11}\cdot 19^{6}$ |
$2$ |
$27.2678314505$ |
$76.9600106616092$ |
|
|
|
$C_3 \wr S_3 $ (as 9T20) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$752.856972402$ |
| 9.3.9662235993899.1 |
$x^{9} - 23 x^{7} - 10 x^{6} + 151 x^{5} + 185 x^{4} - 76 x^{3} - 250 x^{2} - 150 x - 125$ |
$9$ |
[3,3] |
$-\,19^{6}\cdot 59^{3}$ |
$2$ |
$27.7195646079$ |
$54.69257946209248$ |
|
|
? |
$S_3\times C_3$ (as 9T4) |
trivial |
trivial |
$2$ |
$5$ |
$885.824812943$ |
| 9.1.9911673254961.1 |
$x^{9} - 2 x^{8} + x^{7} - 5 x^{6} + 3 x^{5} + 14 x^{4} - 10 x^{3} + 23 x^{2} - 21 x + 8$ |
$9$ |
[1,4] |
$3^{6}\cdot 17^{2}\cdot 19^{6}$ |
$3$ |
$27.7981779515$ |
$105.77141763549201$ |
|
|
|
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$2460.807489$ |
| 9.3.10161910296000.1 |
$x^{9} - 3 x^{8} + 4 x^{7} - 5 x^{6} - 20 x^{5} - 29 x^{4} + 21 x^{3} + 28 x^{2} + 30 x + 18$ |
$9$ |
[3,3] |
$-\,2^{6}\cdot 3^{3}\cdot 5^{3}\cdot 19^{6}$ |
$4$ |
$27.8752957666$ |
$43.77586072112585$ |
|
|
? |
$S_3^2$ (as 9T8) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$2111.8821709$ |
| 9.3.10288934174700.1 |
$x^{9} - x^{8} + 3 x^{7} - 7 x^{6} - 11 x^{5} - 3 x^{4} + x^{3} - x^{2} + 102 x + 12$ |
$9$ |
[3,3] |
$-\,2^{2}\cdot 3^{7}\cdot 5^{2}\cdot 19^{6}$ |
$4$ |
$27.9137980457$ |
$93.87909592585596$ |
|
|
? |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$2350.5482695$ |
| 9.3.12861167718375.3 |
$x^{9} - 9 x^{7} - 10 x^{6} + 27 x^{5} + 60 x^{4} - 90 x^{2} - 81 x + 27$ |
$9$ |
[3,3] |
$-\,3^{7}\cdot 5^{3}\cdot 19^{6}$ |
$3$ |
$28.6145362189$ |
$82.73119259971894$ |
|
|
? |
$C_3 \wr S_3 $ (as 9T20) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$1027.28217567$ |
| 9.3.12861167718375.4 |
$x^{9} - 2 x^{8} - 5 x^{7} - 30 x^{6} - 12 x^{5} - 15 x^{4} + 27 x^{3} - 18 x^{2} + 27$ |
$9$ |
[3,3] |
$-\,3^{7}\cdot 5^{3}\cdot 19^{6}$ |
$3$ |
$28.6145362189$ |
$82.73119259971894$ |
|
|
|
$C_3 \wr S_3 $ (as 9T20) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$1789.4904409$ |
