| 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 |
Unit signature rank |
Max $p$ |
| 9.3.1951707231.1 |
$x^{9} - 3 x - 1$ |
$9$ |
(3, 3) |
$-\,3^{9}\cdot 229\cdot 433$ |
$3$ |
$10.7713043368$ |
$1051.1621940417288$ |
|
|
? |
$S_9$ (as 9T34) |
trivial |
trivial |
$2$ |
$5$ |
$15.2653163691$ |
$3$ |
$433$ |
| 9.3.36889110963.1 |
$x^{9} + 3 x^{7} - 3 x^{6} + 6 x^{3} + 3 x^{2} - 9 x - 5$ |
$9$ |
(3, 3) |
$-\,3^{9}\cdot 37^{4}$ |
$2$ |
$14.9313748586$ |
$37.066011779110724$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$142.686446524$ |
$3$ |
$37$ |
| 9.3.222742590768.1 |
$x^{9} - 3 x^{8} + 6 x^{7} - 3 x^{6} - 18 x^{4} + 6 x^{3} + 12 x^{2} + 12 x - 4$ |
$9$ |
(3, 3) |
$-\,2^{4}\cdot 3^{9}\cdot 29^{4}$ |
$3$ |
$18.2333735548$ |
$50.01804417193153$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$265.444738661$ |
$3$ |
$29$ |
| 9.3.295095094272.1 |
$x^{9} - 3 x^{8} + 6 x^{6} - 12 x^{3} + 6 x^{2} + 6 x - 6$ |
$9$ |
(3, 3) |
$-\,2^{10}\cdot 3^{9}\cdot 11^{4}$ |
$3$ |
$18.8122274553$ |
$41.60477340562107$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$735.99013851$ |
$3$ |
$11$ |
| 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 |
$2$ |
$5$ |
$873.598032212$ |
$3$ |
$3$ |
| 9.3.352519065792.1 |
$x^{9} - 9 x^{7} - 15 x^{6} - 3 x^{5} + 18 x^{4} + 18 x^{3} - 9 x^{2} - 15 x - 1$ |
$9$ |
(3, 3) |
$-\,2^{6}\cdot 3^{9}\cdot 23^{4}$ |
$3$ |
$19.1875838218$ |
$42.85616095945858$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$295.526928595$ |
$3$ |
$23$ |
| 9.3.420849623808.1 |
$x^{9} - 3 x^{8} + 3 x^{7} + 9 x^{6} - 12 x^{5} - 6 x^{4} + 18 x^{3} + 12 x^{2} - 21 x - 13$ |
$9$ |
(3, 3) |
$-\,2^{8}\cdot 3^{9}\cdot 17^{4}$ |
$3$ |
$19.5690462816$ |
$44.14050728194871$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$544.928390283$ |
$3$ |
$17$ |
| 9.3.475099770627.2 |
$x^{9} - 3 x^{8} - 3 x^{5} + 6 x^{3} + 33 x^{2} + 27 x - 7$ |
$9$ |
(3, 3) |
$-\,3^{9}\cdot 17^{6}$ |
$2$ |
$19.8344670554$ |
$35.39012890556844$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$749.899873552$ |
$3$ |
$17$ |
| 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 |
$2$ |
$5$ |
$619.735519073$ |
$3$ |
$7$ |
| 9.3.691917306003.2 |
$x^{9} - 3 x^{8} + 6 x^{7} - 9 x^{6} + 15 x^{5} - 60 x^{4} + 93 x^{3} - 18 x^{2} - 36 x + 8$ |
$9$ |
(3, 3) |
$-\,3^{9}\cdot 7^{4}\cdot 11^{4}$ |
$3$ |
$20.6805258271$ |
$60.418303551680566$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$413.094289774$ |
$3$ |
$11$ |
| 9.3.753322597299.1 |
$x^{9} - 12 x^{6} + 3 x^{5} + 9 x^{4} + 18 x^{3} - 33 x^{2} + 15 x - 2$ |
$9$ |
(3, 3) |
$-\,3^{9}\cdot 337^{3}$ |
$2$ |
$20.8768300116$ |
$61.28059787982163$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$812.854163351$ |
$3$ |
$337$ |
| 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 |
$2$ |
$5$ |
$1461.68516613$ |
$3$ |
$5$ |
| 9.3.806215680000.2 |
$x^{9} - 3 x^{8} + 6 x^{7} - 6 x^{6} - 6 x^{5} + 30 x^{4} - 36 x^{3} + 48 x^{2} - 63 x + 17$ |
$9$ |
(3, 3) |
$-\,2^{16}\cdot 3^{9}\cdot 5^{4}$ |
$3$ |
$21.0348309805$ |
$41.365080188069065$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$1207.82026252$ |
$3$ |
$5$ |
| 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 |
$2$ |
$5$ |
$541.252773397$ |
$3$ |
$19$ |
| 9.3.1259712000000.1 |
$x^{9} - 6 x^{7} - 18 x^{6} + 12 x^{5} + 72 x^{4} + 90 x^{3} - 72 x^{2} - 126 x - 36$ |
$9$ |
(3, 3) |
$-\,2^{12}\cdot 3^{9}\cdot 5^{6}$ |
$3$ |
$22.1041889918$ |
$38.248452922401285$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$2308.82153996$ |
$3$ |
$5$ |
| 9.3.1349760957363.1 |
$x^{9} + 3 x^{7} - 9 x^{6} - 12 x^{5} - 36 x^{4} + 18 x^{3} + 33 x^{2} + 87 x + 21$ |
$9$ |
(3, 3) |
$-\,3^{9}\cdot 7^{4}\cdot 13^{4}$ |
$3$ |
$22.2744155707$ |
$67.53604718770032$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$1014.21738182$ |
$3$ |
$13$ |
| 9.3.1520097304752.1 |
$x^{9} - 3 x^{8} + 3 x^{7} + 3 x^{6} + 9 x^{5} - 30 x^{4} - 48 x^{3} + 171 x^{2} - 48 x - 33$ |
$9$ |
(3, 3) |
$-\,2^{4}\cdot 3^{9}\cdot 13^{6}$ |
$3$ |
$22.570504439$ |
$44.92424986304957$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$825.344942039$ |
$3$ |
$13$ |
| 9.3.1631363571648.1 |
$x^{9} - 3 x^{8} - 6 x^{7} + 21 x^{6} - 18 x^{5} + 9 x^{4} + 3 x^{3} - 30 x^{2} + 36 x - 14$ |
$9$ |
(3, 3) |
$-\,2^{6}\cdot 3^{9}\cdot 109^{3}$ |
$3$ |
$22.7483595806$ |
$55.32328452469898$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$1502.50720494$ |
$3$ |
$109$ |
| 9.1.2211639885801.1 |
$x^{9} - 3 x - 3$ |
$9$ |
(1, 4) |
$3^{9}\cdot 47\cdot 107\cdot 22343$ |
$4$ |
$23.5307047639$ |
$35385.03291687282$ |
|
|
✓ |
$S_9$ (as 9T34) |
trivial |
trivial |
$2$ |
$4$ |
$382.048537897$ |
$1$ |
$22343$ |
| 9.3.2371261713408.3 |
$x^{9} - 3 x^{8} + 60 x^{2} - 12 x + 84$ |
$9$ |
(3, 3) |
$-\,2^{10}\cdot 3^{9}\cdot 7^{6}$ |
$3$ |
$23.7136126182$ |
$42.57255719365756$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$3237.54497309$ |
$3$ |
$7$ |
| 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) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$689.945765083$ |
$1$ |
$3$ |
| 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 |
$2$ |
$5$ |
$3041.05581217$ |
$3$ |
$7$ |
| 9.3.3097158156288.3 |
$x^{9} - 3 x^{8} + 12 x^{6} - 24 x^{5} - 24 x^{4} + 48 x^{3} - 48 x + 16$ |
$9$ |
(3, 3) |
$-\,2^{16}\cdot 3^{9}\cdot 7^{4}$ |
$3$ |
$24.427826141$ |
$51.7669479735351$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$3009.50054904$ |
$3$ |
$7$ |
| 9.3.3097158156288.4 |
$x^{9} + 6 x^{7} + 12 x^{5} - 36 x^{4} + 18 x^{3} - 96 x^{2} + 3 x + 100$ |
$9$ |
(3, 3) |
$-\,2^{16}\cdot 3^{9}\cdot 7^{4}$ |
$3$ |
$24.427826141$ |
$51.7669479735351$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$3334.23801389$ |
$3$ |
$7$ |
| 9.3.4502793796875.4 |
$x^{9} - 3 x^{8} + 12 x^{7} - 39 x^{6} + 99 x^{5} - 183 x^{4} + 249 x^{3} - 216 x^{2} + 87 x - 12$ |
$9$ |
(3, 3) |
$-\,3^{9}\cdot 5^{6}\cdot 11^{4}$ |
$3$ |
$25.4649279081$ |
$63.13131521661651$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$2881.80433826$ |
$3$ |
$11$ |
| 9.1.6298560000000.1 |
$x^{9} - 6 x^{7} - 18 x^{6} - 18 x^{5} - 12 x^{4} - 30 x^{3} - 48 x^{2} - 24 x - 4$ |
$9$ |
(1, 4) |
$2^{12}\cdot 3^{9}\cdot 5^{7}$ |
$3$ |
$26.4324804081$ |
$112.98632206950721$ |
|
|
? |
$S_9$ (as 9T34) |
trivial |
trivial |
$2$ |
$4$ |
$4651.64145016$ |
$1$ |
$5$ |
| 9.3.6733593980928.2 |
$x^{9} - 3 x^{8} - 3 x^{7} + 9 x^{6} + 6 x^{5} + 18 x^{3} - 51 x - 17$ |
$9$ |
(3, 3) |
$-\,2^{12}\cdot 3^{9}\cdot 17^{4}$ |
$3$ |
$26.6293624929$ |
$62.42410404816022$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$2027.71579132$ |
$3$ |
$17$ |
| 9.1.6763042799793.1 |
$x^{9} + 6 x - 1$ |
$9$ |
(1, 4) |
$3^{9}\cdot 7\cdot 83\cdot 591391$ |
$4$ |
$26.6422775568$ |
$61877.60062174313$ |
|
|
? |
$S_9$ (as 9T34) |
trivial |
trivial |
$2$ |
$4$ |
$1573.62739768$ |
$1$ |
$591391$ |
| 9.3.9210530414592.6 |
$x^{9} - 12 x^{6} - 18 x^{5} - 12 x^{4} + 18 x^{3} + 48 x^{2} + 51 x - 12$ |
$9$ |
(3, 3) |
$-\,2^{14}\cdot 3^{9}\cdot 13^{4}$ |
$3$ |
$27.572495291$ |
$65.76961056080769$ |
|
|
|
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$9609.62172837$ |
$3$ |
$13$ |
| 9.3.9485046853632.1 |
$x^{9} - 3 x^{8} - 6 x^{7} + 36 x^{6} - 48 x^{5} + 18 x^{4} - 12 x^{3} + 18 x^{2} + 3 x + 1$ |
$9$ |
(3, 3) |
$-\,2^{12}\cdot 3^{9}\cdot 7^{6}$ |
$3$ |
$27.6626177524$ |
$36.604759953417876$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$1723.45698381$ |
$3$ |
$7$ |
| 9.3.11814720750000.1 |
$x^{9} - 3 x^{8} - 3 x^{7} + 18 x^{6} - 33 x^{5} - 3 x^{4} + 63 x^{3} + 60 x^{2} + 24 x + 4$ |
$9$ |
(3, 3) |
$-\,2^{4}\cdot 3^{9}\cdot 5^{6}\cdot 7^{4}$ |
$4$ |
$28.3459812613$ |
$56.69873942364241$ |
|
|
|
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$12550.3374793$ |
$3$ |
$7$ |
| 9.3.12388632625152.1 |
$x^{9} - 3 x^{8} - 6 x^{7} + 54 x^{6} - 132 x^{5} + 132 x^{4} - 30 x^{3} + 6 x^{2} - 51 x + 25$ |
$9$ |
(3, 3) |
$-\,2^{18}\cdot 3^{9}\cdot 7^{4}$ |
$3$ |
$28.4957685672$ |
$42.012115775151564$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$6351.61117991$ |
$3$ |
$7$ |
| 9.1.15694761885696.1 |
$x^{9} - 3 x^{8} + 24 x^{6} - 18 x^{5} + 6 x^{4} + 72 x^{2} + 69 x + 17$ |
$9$ |
(1, 4) |
$2^{16}\cdot 3^{9}\cdot 23^{3}$ |
$3$ |
$29.2546542781$ |
$64.03714373170317$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
$[3]$ |
$[3]$ |
$2$ |
$4$ |
$1566.48086123$ |
$1$ |
$23$ |
| 9.3.15931284879375.2 |
$x^{9} - 12 x^{7} - 3 x^{6} + 33 x^{5} - 9 x^{4} - 9 x^{3} - 36 x^{2} - 21 x - 3$ |
$9$ |
(3, 3) |
$-\,3^{9}\cdot 5^{4}\cdot 109^{3}$ |
$3$ |
$29.3033151577$ |
$77.93029038402531$ |
|
|
|
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$2655.50436074$ |
$3$ |
$109$ |
| 9.3.15931284879375.3 |
$x^{9} - 3 x^{8} + 9 x^{7} - 15 x^{6} + 12 x^{5} - 117 x^{4} + 45 x^{3} + 27 x^{2} - 36 x + 9$ |
$9$ |
(3, 3) |
$-\,3^{9}\cdot 5^{4}\cdot 109^{3}$ |
$3$ |
$29.3033151577$ |
$77.93029038402531$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$4727.06733508$ |
$3$ |
$109$ |
| 9.3.20155392000000.1 |
$x^{9} - 3 x^{8} + 30 x^{5} + 30 x^{4} - 75 x + 25$ |
$9$ |
(3, 3) |
$-\,2^{16}\cdot 3^{9}\cdot 5^{6}$ |
$3$ |
$30.0791593421$ |
$44.64733469137519$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$8064.01060286$ |
$3$ |
$5$ |
| 9.3.20155392000000.4 |
$x^{9} - 6 x^{7} + 30 x^{5} - 24 x^{4} - 90 x^{3} + 84 x^{2} + 90 x - 80$ |
$9$ |
(3, 3) |
$-\,2^{16}\cdot 3^{9}\cdot 5^{6}$ |
$3$ |
$30.0791593421$ |
$54.09148086264874$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$11886.0223531$ |
$3$ |
$5$ |
| 9.3.21793521976875.3 |
$x^{9} - 3 x^{8} - 9 x^{7} + 21 x^{6} + 18 x^{5} + 21 x^{4} - 108 x^{3} - 15 x^{2} + 57 x + 137$ |
$9$ |
(3, 3) |
$-\,3^{9}\cdot 5^{4}\cdot 11^{6}$ |
$3$ |
$30.3414533857$ |
$48.27806291613016$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$6031.79310064$ |
$3$ |
$11$ |
| 9.3.21793521976875.4 |
$x^{9} - 3 x^{8} + 12 x^{7} - 39 x^{6} + 90 x^{5} - 177 x^{4} + 186 x^{3} - 78 x^{2} - 153 x - 22$ |
$9$ |
(3, 3) |
$-\,3^{9}\cdot 5^{4}\cdot 11^{6}$ |
$3$ |
$30.3414533857$ |
$71.9971464569118$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$2506.26564044$ |
$3$ |
$11$ |
| 9.3.22486646520000.2 |
$x^{9} - 3 x^{8} + 3 x^{7} + 6 x^{5} - 45 x^{4} + 27 x^{3} + 165 x^{2} - 288 x + 139$ |
$9$ |
(3, 3) |
$-\,2^{6}\cdot 3^{9}\cdot 5^{4}\cdot 13^{4}$ |
$4$ |
$30.447187949$ |
$65.51015256558586$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$3012.12680984$ |
$3$ |
$13$ |
| 9.3.23258232421875.1 |
$x^{9} - 3 x^{8} + 3 x^{7} + 9 x^{6} - 45 x^{5} + 72 x^{4} - 6 x^{3} - 99 x^{2} + 123 x - 50$ |
$9$ |
(3, 3) |
$-\,3^{9}\cdot 5^{10}\cdot 11^{2}$ |
$3$ |
$30.5615368306$ |
$180.1990070125196$ |
|
|
? |
$S_9$ (as 9T34) |
trivial |
$[2]$ |
$2$ |
$5$ |
$5928.74750671$ |
$2$ |
$11$ |
| 9.1.25059763224576.1 |
$x^{9} - 3 x - 4$ |
$9$ |
(1, 4) |
$2^{16}\cdot 3^{9}\cdot 19427$ |
$3$ |
$30.8159256872$ |
$2059.0700065234196$ |
|
|
✓ |
$S_9$ (as 9T34) |
trivial |
trivial |
$2$ |
$4$ |
$5009.18673601$ |
$1$ |
$19427$ |
| 9.3.29047955989248.1 |
$x^{9} - 42 x^{4} - 21 x^{3} + 30 x^{2} + 42 x - 14$ |
$9$ |
(3, 3) |
$-\,2^{8}\cdot 3^{9}\cdot 7^{8}$ |
$3$ |
$31.3257682651$ |
$93.52541680566361$ |
|
|
? |
$S_9$ (as 9T34) |
trivial |
trivial |
$2$ |
$5$ |
$11769.0171982$ |
$3$ |
$7$ |
| 9.3.33903947994147.1 |
$x^{9} - 3 x^{8} + 21 x^{6} - 42 x^{5} - 42 x^{4} + 147 x^{3} - 147 x + 49$ |
$9$ |
(3, 3) |
$-\,3^{9}\cdot 7^{6}\cdot 11^{4}$ |
$3$ |
$31.8684647092$ |
$47.64616122397882$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$4362.00825879$ |
$3$ |
$11$ |
| 9.3.35706506406912.5 |
$x^{9} - 3 x^{8} + 6 x^{7} - 36 x^{6} - 24 x^{5} - 90 x^{4} - 108 x^{3} - 126 x^{2} - 90 x - 18$ |
$9$ |
(3, 3) |
$-\,2^{10}\cdot 3^{9}\cdot 11^{6}$ |
$3$ |
$32.052419475$ |
$62.04525996403078$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$8797.0885725$ |
$3$ |
$11$ |
| 9.3.36182582296875.2 |
$x^{9} - 3 x^{8} + 3 x^{7} - 6 x^{6} - 30 x^{5} + 75 x^{4} - 165 x^{3} + 225 x^{2} - 225 x - 50$ |
$9$ |
(3, 3) |
$-\,3^{9}\cdot 5^{6}\cdot 7^{6}$ |
$3$ |
$32.099624417$ |
$42.00602401025146$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$8942.9970772$ |
$3$ |
$7$ |
| 9.3.36842121658368.1 |
$x^{9} - 3 x^{8} + 18 x^{7} - 54 x^{6} + 108 x^{5} - 264 x^{4} + 54 x^{3} - 126 x^{2} + 33 x + 5$ |
$9$ |
(3, 3) |
$-\,2^{16}\cdot 3^{9}\cdot 13^{4}$ |
$3$ |
$32.1641164505$ |
$48.14372734666594$ |
|
|
? |
$(C_3^2:C_8):C_2$ (as 9T19) |
trivial |
trivial |
$2$ |
$5$ |
$10244.7844896$ |
$3$ |
$13$ |
| 9.3.40079816296875.4 |
$x^{9} - 3 x^{8} - 9 x^{6} - 9 x^{5} - 12 x^{4} - 30 x^{3} - 36 x^{2} - 21 x - 4$ |
$9$ |
(3, 3) |
$-\,3^{9}\cdot 5^{6}\cdot 19^{4}$ |
$3$ |
$32.4665537242$ |
$79.47635614961014$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$6624.4354641$ |
$3$ |
$19$ |
| 9.3.47258883000000.17 |
$x^{9} - 9 x^{7} - 9 x^{6} + 57 x^{5} - 18 x^{4} - 90 x^{3} + 117 x^{2} - 63 x + 9$ |
$9$ |
(3, 3) |
$-\,2^{6}\cdot 3^{9}\cdot 5^{6}\cdot 7^{4}$ |
$4$ |
$33.0664102966$ |
$74.14270115097837$ |
|
|
? |
$((C_3^2:Q_8):C_3):C_2$ (as 9T26) |
trivial |
trivial |
$2$ |
$5$ |
$6932.54046365$ |
$3$ |
$7$ |
| 9.1.48616417935360.1 |
$x^{9} + 6 x - 4$ |
$9$ |
(1, 4) |
$2^{14}\cdot 3^{9}\cdot 5\cdot 11\cdot 2741$ |
$5$ |
$33.170625558$ |
$4359.5975344962335$ |
|
|
? |
$S_9$ (as 9T34) |
trivial |
trivial |
$2$ |
$4$ |
$9838.86072428$ |
$1$ |
$2741$ |
