| 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 |
| 9.3.187570506627.1 |
$x^{9} - 3 x^{8} - 3 x^{7} + 12 x^{6} - 21 x^{5} + 36 x^{4} - 48 x^{3} + 45 x^{2} - 24 x + 7$ |
$9$ |
[3,3] |
$-\,3^{13}\cdot 7^{6}$ |
$2$ |
$17.8884964471$ |
$23.409140290996383$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$325.228524613$ |
| 9.3.204128387072.1 |
$x^{9} - 2 x^{8} - 8 x^{7} + 16 x^{6} + 28 x^{5} - 32 x^{4} - 24 x^{3} + 24 x^{2} + x - 2$ |
$9$ |
[3,3] |
$-\,2^{24}\cdot 23^{3}$ |
$2$ |
$18.0574297419$ |
$38.36665218650175$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$650.386720676$ |
| 9.1.293534171136.1 |
$x^{9} - 2 x^{8} + 4 x^{7} - 8 x^{6} + 10 x^{5} - 20 x^{4} + 16 x^{3} - 32 x^{2} + 22 x - 12$ |
$9$ |
[1,4] |
$2^{27}\cdot 3^{7}$ |
$2$ |
$18.8011448865$ |
$32.263749133641326$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$4$ |
$796.833061033$ |
| 9.3.330225942528.1 |
$x^{9} - 3 x^{8} + 12 x^{5} + 12 x^{4} - 12 x + 4$ |
$9$ |
[3,3] |
$-\,2^{24}\cdot 3^{9}$ |
$2$ |
$19.0488126236$ |
$26.705335006209527$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$873.598032212$ |
| 9.3.417942208512.2 |
$x^{9} - 6 x^{7} - 12 x^{6} + 12 x^{5} + 60 x^{4} + 6 x^{3} - 48 x^{2} + 9 x + 8$ |
$9$ |
[3,3] |
$-\,2^{18}\cdot 3^{13}$ |
$2$ |
$19.5539786666$ |
$25.87494436115978$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$1028.11649304$ |
| 9.1.419853238272.1 |
$x^{9} - 3 x^{8} + 6 x^{7} - 18 x^{6} + 12 x^{5} - 24 x^{4} + 24 x^{3} - 12 x^{2} + 6 x - 2$ |
$9$ |
[1,4] |
$2^{18}\cdot 3^{6}\cdot 13^{3}$ |
$3$ |
$19.563892986$ |
$39.09580027952751$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$4$ |
$751.540509396$ |
| 9.1.587068342272.1 |
$x^{9} - x^{8} - 4 x^{7} - 4 x^{6} - 4 x^{5} - 4 x^{4} + 8 x^{3} + 8 x^{2} - 22 x - 26$ |
$9$ |
[1,4] |
$2^{28}\cdot 3^{7}$ |
$2$ |
$20.306359637$ |
$32.263749133641326$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$4$ |
$1053.25458908$ |
| 9.3.592815428352.1 |
$x^{9} + 3 x^{7} - 6 x^{6} - 24 x^{4} - 18 x^{3} - 48 x^{2} - 27 x + 16$ |
$9$ |
[3,3] |
$-\,2^{8}\cdot 3^{9}\cdot 7^{6}$ |
$3$ |
$20.3283517286$ |
$28.73171626922152$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$619.735519073$ |
| 9.1.736586891264.1 |
$x^{9} - 2 x^{8} + 8 x^{7} - 16 x^{6} + 28 x^{5} - 40 x^{4} + 40 x^{3} - 32 x^{2} + 18 x - 4$ |
$9$ |
[1,4] |
$2^{31}\cdot 7^{3}$ |
$2$ |
$20.8247809963$ |
$42.33202097703345$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$4$ |
$1103.79064185$ |
| 9.3.806215680000.1 |
$x^{9} - 6 x^{7} - 12 x^{6} - 12 x^{5} + 48 x^{4} + 84 x^{3} + 60 x^{2} + 30 x + 8$ |
$9$ |
[3,3] |
$-\,2^{16}\cdot 3^{9}\cdot 5^{4}$ |
$3$ |
$21.0348309805$ |
$29.857472217894635$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$1461.68516613$ |
| 9.3.832706445312.1 |
$x^{9} - 2 x^{8} - 2 x^{7} - 4 x^{6} - 8 x^{4} + 18 x^{3} - 7 x + 2$ |
$9$ |
[3,3] |
$-\,2^{18}\cdot 3^{3}\cdot 7^{6}$ |
$3$ |
$21.1105283516$ |
$35.45697226154603$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$1154.20628306$ |
| 9.3.909193450176.1 |
$x^{9} - 2 x^{8} - x^{7} + 7 x^{6} - 11 x^{5} - 4 x^{4} + 32 x^{3} - 37 x^{2} + 19 x - 3$ |
$9$ |
[3,3] |
$-\,2^{6}\cdot 3^{6}\cdot 11^{7}$ |
$3$ |
$21.3176628195$ |
$29.49485084764002$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$587.238860725$ |
| 9.3.926004075723.1 |
$x^{9} - 9 x^{7} - 15 x^{6} - 3 x^{5} + 42 x^{4} + 138 x^{3} + 210 x^{2} + 153 x + 35$ |
$9$ |
[3,3] |
$-\,3^{9}\cdot 19^{6}$ |
$2$ |
$21.3611020767$ |
$30.378983925697288$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$541.252773397$ |
| 9.3.940369969152.4 |
$x^{9} - 3 x^{8} + 18 x^{5} + 18 x^{4} - 27 x + 9$ |
$9$ |
[3,3] |
$-\,2^{16}\cdot 3^{15}$ |
$2$ |
$21.3976720937$ |
$27.77466766779908$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$1611.6682207$ |
| 9.3.1053894094848.1 |
$x^{9} - 4 x^{8} + 5 x^{7} + 14 x^{6} - 46 x^{5} + 26 x^{4} + 26 x^{3} - 28 x^{2} + 11 x - 2$ |
$9$ |
[3,3] |
$-\,2^{12}\cdot 3^{7}\cdot 7^{6}$ |
$3$ |
$21.6703701792$ |
$31.830951537759706$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$1170.83942056$ |
| 9.3.1146617856000.1 |
$x^{9} - 2 x^{8} - 2 x^{7} + 4 x^{6} + 13 x^{5} - 14 x^{4} - 38 x^{3} + 16 x^{2} + 43 x + 6$ |
$9$ |
[3,3] |
$-\,2^{22}\cdot 3^{7}\cdot 5^{3}$ |
$3$ |
$21.8743628151$ |
$39.3367601846657$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$1512.78592318$ |
| 9.1.1303974703125.1 |
$x^{9} - 4 x^{7} - 4 x^{6} + 12 x^{5} + 2 x^{4} - 15 x^{3} + 2 x^{2} + 37 x - 21$ |
$9$ |
[1,4] |
$3^{4}\cdot 5^{6}\cdot 101^{3}$ |
$3$ |
$22.1891680072$ |
$58.20346197531708$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$4$ |
$976.938231413$ |
| 9.3.1318823395328.1 |
$x^{9} - 2 x^{8} - 16 x^{6} + 50 x^{5} - 68 x^{4} + 48 x^{3} - 16 x^{2} - x + 2$ |
$9$ |
[3,3] |
$-\,2^{28}\cdot 17^{3}$ |
$2$ |
$22.2171017874$ |
$50.86958504102349$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$1938.29907506$ |
| 9.3.1391050107747.2 |
$x^{9} - 3 x^{8} - 2 x^{7} + 4 x^{6} + 7 x^{5} + 2 x^{4} - 4 x^{3} + 37 x^{2} + 53 x + 17$ |
$9$ |
[3,3] |
$-\,3^{3}\cdot 61^{6}$ |
$2$ |
$22.3491138686$ |
$37.80576266511387$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$677.465916008$ |
| 9.3.1565515579392.1 |
$x^{9} - x^{8} - 8 x^{7} + 8 x^{6} + 28 x^{5} - 28 x^{4} - 56 x^{3} + 56 x^{2} + 34 x - 18$ |
$9$ |
[3,3] |
$-\,2^{31}\cdot 3^{6}$ |
$2$ |
$22.6444581275$ |
$36.47211291127644$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$2050.88326837$ |
| 9.1.1743862431744.1 |
$x^{9} - 4 x^{8} + 2 x^{7} + 8 x^{6} - 4 x^{5} + 8 x^{4} + 2 x^{3} - 4 x^{2} + 17 x + 4$ |
$9$ |
[1,4] |
$2^{16}\cdot 3^{7}\cdot 23^{3}$ |
$3$ |
$22.9175414037$ |
$50.165484059042775$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$4$ |
$2133.54677467$ |
| 9.3.1940970550347.1 |
$x^{9} - x^{8} - 12 x^{7} + 3 x^{6} + 33 x^{5} - 21 x^{4} - 69 x^{3} + 15 x^{2} + 18 x + 3$ |
$9$ |
[3,3] |
$-\,3^{7}\cdot 31^{6}$ |
$2$ |
$23.191852404$ |
$34.355982136412706$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$1728.76981926$ |
| 9.3.1941429671875.1 |
$x^{9} - 2 x^{8} + 6 x^{7} - 8 x^{6} - 6 x^{5} - 14 x^{4} + 15 x^{3} + 10 x^{2} + 25 x + 25$ |
$9$ |
[3,3] |
$-\,5^{6}\cdot 499^{3}$ |
$2$ |
$23.1924618792$ |
$74.69263420084992$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$1758.69563001$ |
| 9.1.2209699390625.1 |
$x^{9} - 2 x^{8} + 3 x^{7} - 9 x^{6} + 10 x^{5} + 11 x^{4} + 13 x^{3} + 63 x^{2} - 19 x + 70$ |
$9$ |
[1,4] |
$5^{6}\cdot 521^{3}$ |
$2$ |
$23.5284098838$ |
$76.32140644266818$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$4$ |
$1456.5316654$ |
| 9.1.2474069078125.1 |
$x^{9} + 5 x^{7} - 5 x^{6} + 5 x^{5} - 19 x^{4} - 5 x^{3} - 20 x^{2} - 5 x - 5$ |
$9$ |
[1,4] |
$5^{6}\cdot 541^{3}$ |
$2$ |
$23.8257048738$ |
$77.7725136480552$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$4$ |
$1388.21664667$ |
| 9.1.2641807540224.1 |
$x^{9} - 3 x^{8} + 24 x^{6} - 18 x^{5} - 18 x^{4} + 24 x^{3} + 48 x^{2} - 3 x + 1$ |
$9$ |
[1,4] |
$2^{27}\cdot 3^{9}$ |
$2$ |
$24.0$ |
$41.18525674272197$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$689.945765083$ |
| 9.3.2727580350528.1 |
$x^{9} - 4 x^{8} + 3 x^{7} - 3 x^{6} + 15 x^{5} - 24 x^{3} - 9 x^{2} - 27 x - 21$ |
$9$ |
[3,3] |
$-\,2^{6}\cdot 3^{7}\cdot 11^{7}$ |
$3$ |
$24.0853555317$ |
$42.63140962969876$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$1545.46616071$ |
| 9.3.3097158156288.1 |
$x^{9} - 6 x^{7} - 12 x^{6} + 24 x^{5} + 72 x^{4} + 90 x^{3} - 48 x^{2} - 75 x - 16$ |
$9$ |
[3,3] |
$-\,2^{16}\cdot 3^{9}\cdot 7^{4}$ |
$3$ |
$24.427826141$ |
$35.32783755254898$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$3041.05581217$ |
| 9.3.3596615680000.1 |
$x^{9} - x^{8} - 4 x^{7} + 20 x^{6} - 20 x^{5} - 44 x^{4} - 12 x^{3} + 12 x^{2} + x - 1$ |
$9$ |
[3,3] |
$-\,2^{24}\cdot 5^{4}\cdot 7^{3}$ |
$3$ |
$24.837011422$ |
$47.32863826479693$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$3090.75325951$ |
| 9.3.3881196000000.1 |
$x^{9} - x^{8} - 6 x^{6} + 14 x^{5} + 12 x^{4} - 17 x^{3} - 5 x^{2} - 57 x - 47$ |
$9$ |
[3,3] |
$-\,2^{8}\cdot 3^{6}\cdot 5^{6}\cdot 11^{3}$ |
$4$ |
$25.0480518029$ |
$50.55857007963037$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$2799.61363355$ |
| 9.1.3967389600768.1 |
$x^{9} - 3 x^{8} + 3 x^{7} + 3 x^{6} - 30 x^{4} + 87 x^{3} - 117 x^{2} + 81 x - 41$ |
$9$ |
[1,4] |
$2^{10}\cdot 3^{7}\cdot 11^{6}$ |
$3$ |
$25.1092576046$ |
$44.67562174530962$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$4$ |
$4305.87909056$ |
| 9.1.4121204000000.1 |
$x^{9} - 2 x^{8} + 3 x^{7} - 7 x^{5} - 2 x^{4} + 49 x^{3} - 26 x^{2} - 35 x + 54$ |
$9$ |
[1,4] |
$2^{8}\cdot 5^{6}\cdot 101^{3}$ |
$3$ |
$25.2156022811$ |
$67.20756887843493$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$4$ |
$1867.40915674$ |
| 9.3.4194304000000.1 |
$x^{9} - 3 x^{8} + 4 x^{7} - 12 x^{6} + 16 x^{5} - 8 x^{4} + 24 x^{3} + 8 x^{2} - 54 x + 2$ |
$9$ |
[3,3] |
$-\,2^{28}\cdot 5^{6}$ |
$2$ |
$25.2649106788$ |
$41.253541508849835$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$3765.73574772$ |
| 9.3.4696546738176.1 |
$x^{9} - 2 x^{8} - 4 x^{7} + 16 x^{6} - 10 x^{5} - 20 x^{4} + 44 x^{3} - 32 x^{2} + 11 x + 2$ |
$9$ |
[3,3] |
$-\,2^{31}\cdot 3^{7}$ |
$2$ |
$25.5844099534$ |
$41.84090605784331$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$5371.90323422$ |
| 9.3.5150750736384.1 |
$x^{9} - 3 x^{8} + 6 x^{7} - 6 x^{6} + 12 x^{4} - 18 x^{3} + 6 x^{2} + 9 x - 3$ |
$9$ |
[3,3] |
$-\,2^{16}\cdot 3^{10}\cdot 11^{3}$ |
$3$ |
$25.8481853519$ |
$49.27778358780951$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$4386.58130161$ |
| 9.3.5150750736384.2 |
$x^{9} - 3 x^{8} + 6 x^{7} + 6 x^{6} - 36 x^{5} + 48 x^{4} - 12 x^{3} - 12 x^{2} + 18 x + 6$ |
$9$ |
[3,3] |
$-\,2^{16}\cdot 3^{10}\cdot 11^{3}$ |
$3$ |
$25.8481853519$ |
$49.27778358780951$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$4269.45463854$ |
| 9.3.5308416000000.1 |
$x^{9} - 2 x^{8} - 6 x^{7} + 12 x^{6} + 21 x^{5} - 14 x^{4} - 82 x^{3} + 64 x^{2} + 7 x + 6$ |
$9$ |
[3,3] |
$-\,2^{22}\cdot 3^{4}\cdot 5^{6}$ |
$3$ |
$25.934924879$ |
$46.331687411530766$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$3743.44430797$ |
| 9.3.6004750155776.1 |
$x^{9} - 2 x^{8} - 8 x^{7} + 16 x^{6} - 10 x^{5} - 4 x^{4} + 76 x^{3} + 80 x^{2} + 30 x + 4$ |
$9$ |
[3,3] |
$-\,2^{24}\cdot 71^{3}$ |
$2$ |
$26.2925538058$ |
$67.40919818541087$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$4058.72437967$ |
| 9.1.6051948658688.1 |
$x^{9} - 2 x^{8} + 16 x^{7} - 16 x^{6} + 26 x^{5} - 20 x^{4} + 16 x^{3} - 32 x^{2} + x - 18$ |
$9$ |
[1,4] |
$2^{22}\cdot 113^{3}$ |
$2$ |
$26.3154367133$ |
$71.51081206042281$ |
|
|
|
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$4$ |
$5603.29025826$ |
| 9.3.6305990921875.1 |
$x^{9} - x^{8} + 2 x^{7} - 9 x^{6} + 3 x^{5} + x^{4} + 5 x^{3} + 60 x^{2} - 55 x - 30$ |
$9$ |
[3,3] |
$-\,5^{6}\cdot 739^{3}$ |
$2$ |
$26.4359435415$ |
$90.89703612803733$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$3472.46681684$ |
| 9.1.6975449726976.1 |
$x^{9} - 24 x^{6} - 24 x^{5} - 48 x^{4} + 24 x^{3} + 48 x^{2} + 24 x - 32$ |
$9$ |
[1,4] |
$2^{18}\cdot 3^{7}\cdot 23^{3}$ |
$3$ |
$26.7339775631$ |
$59.65715057056925$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$4$ |
$4697.22872473$ |
| 9.3.7348698545643.1 |
$x^{9} - 4 x^{8} - 3 x^{7} + 33 x^{6} - 36 x^{5} - 24 x^{4} + 18 x^{3} + 33 x^{2} + 15 x + 3$ |
$9$ |
[3,3] |
$-\,3^{7}\cdot 7^{6}\cdot 13^{4}$ |
$3$ |
$26.8892653523$ |
$40.57666075681575$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$3251.14351385$ |
| 9.1.7504828453125.1 |
$x^{9} - 3 x^{8} + 7 x^{7} - 10 x^{6} + 51 x^{5} + 10 x^{4} + 33 x^{3} + 21 x^{2} + 11 x + 5$ |
$9$ |
[1,4] |
$3^{4}\cdot 5^{6}\cdot 181^{3}$ |
$3$ |
$26.9521502373$ |
$77.91613798765907$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$4$ |
$2977.28379164$ |
| 9.1.8502028075008.1 |
$x^{9} - 6 x^{7} - 12 x^{6} + 12 x^{5} + 60 x^{4} + 18 x^{3} - 96 x^{2} - 39 x - 4$ |
$9$ |
[1,4] |
$2^{16}\cdot 3^{10}\cdot 13^{3}$ |
$3$ |
$27.3283628258$ |
$53.57059863501353$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$4$ |
$4390.10398205$ |
| 9.1.8502028075008.2 |
$x^{9} - 24 x^{5} - 24 x^{4} + 24 x^{3} + 48 x^{2} + 120 x + 32$ |
$9$ |
[1,4] |
$2^{16}\cdot 3^{10}\cdot 13^{3}$ |
$3$ |
$27.3283628258$ |
$53.57059863501353$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$4$ |
$3539.02788299$ |
| 9.3.8951102171875.1 |
$x^{9} - x^{8} - 13 x^{7} + 12 x^{6} + 55 x^{5} - 47 x^{4} - 73 x^{3} + 56 x^{2} - 29 x - 25$ |
$9$ |
[3,3] |
$-\,5^{6}\cdot 17^{4}\cdot 19^{3}$ |
$3$ |
$27.4851043715$ |
$60.09367507202535$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$4011.15978192$ |
| 9.3.8957952000000.1 |
$x^{9} - 2 x^{8} + 2 x^{7} + 4 x^{6} - 28 x^{5} - 8 x^{4} + 38 x^{3} + 16 x^{2} - 7 x + 2$ |
$9$ |
[3,3] |
$-\,2^{18}\cdot 3^{7}\cdot 5^{6}$ |
$3$ |
$27.4874405734$ |
$41.59355981611844$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$7533.88956111$ |
| 9.3.9009299354112.1 |
$x^{9} - 3 x^{8} + x^{7} + 6 x^{6} - 15 x^{5} + 6 x^{4} + 67 x^{3} - 18 x^{2} - 134 x - 63$ |
$9$ |
[3,3] |
$-\,2^{9}\cdot 3^{6}\cdot 17^{6}$ |
$3$ |
$27.5049027072$ |
$53.97872542813032$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$2130.24067175$ |
| 9.3.9812134526976.1 |
$x^{9} - 3 x^{8} + 10 x^{7} - 26 x^{6} + 48 x^{5} - 76 x^{4} + 90 x^{3} - 102 x^{2} + 17 x + 13$ |
$9$ |
[3,3] |
$-\,2^{16}\cdot 3^{6}\cdot 59^{3}$ |
$3$ |
$27.7670202563$ |
$70.0369037510587$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$6480.94542754$ |
| 9.3.9903746546875.1 |
$x^{9} - 3 x^{8} - 5 x^{7} + 14 x^{6} + 21 x^{5} - 22 x^{4} - 43 x^{3} - x^{2} + 25 x + 8$ |
$9$ |
[3,3] |
$-\,5^{6}\cdot 859^{3}$ |
$2$ |
$27.7957069436$ |
$97.9995508324482$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$4247.0671176$ |
