| 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 $p$ |
| 9.9.31381059609.1 |
$x^{9} - 9 x^{7} + 27 x^{5} - 30 x^{3} + 9 x - 1$ |
$9$ |
(9, 0) |
$3^{22}$ |
$1$ |
$14.665484$ |
$14.665483999969616$ |
|
✓ |
✓ |
$C_9$ (as 9T1) |
trivial |
trivial |
$2$ |
$8$ |
$159.898566189$ |
$9$ |
$3$ |
| 9.5.2620977479603289.6 |
$x^{9} - 18 x^{7} - 45 x^{6} - 81 x^{5} + 126 x^{4} + 690 x^{3} + 5049 x^{2} + 11016 x + 6749$ |
$9$ |
(5, 2) |
$3^{22}\cdot 17^{4}$ |
$2$ |
$51.6609737308$ |
$155.47855710502645$ |
|
|
? |
$((C_3 \times (C_3^2 : C_2)) : C_2) : C_3$ (as 9T25) |
$[3]$ |
$[3]$ |
$2$ |
$6$ |
$11186.8470209$ |
$5$ |
$17$ |
| 9.1.8226356490141696.3 |
$x^{9} - 24 x^{6} - 54 x^{5} + 264 x^{3} + 648 x^{2} + 945 x + 784$ |
$9$ |
(1, 4) |
$2^{18}\cdot 3^{22}$ |
$2$ |
$58.6619359999$ |
$69.76119167088973$ |
|
|
? |
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ (as 9T32) |
$[9]$ |
$[9]$ |
$2$ |
$4$ |
$12484.2722401$ |
$1$ |
$3$ |
| 9.1.47091202575755625.2 |
$x^{9} - 9 x^{7} + 27 x^{5} - 30 x^{3} + 9 x - 82$ |
$9$ |
(1, 4) |
$3^{22}\cdot 5^{4}\cdot 7^{4}$ |
$3$ |
$71.2112918775$ |
$86.76217340159114$ |
|
|
? |
$(C_9:C_3):C_2$ (as 9T10) |
$[9]$ |
$[9]$ |
$2$ |
$4$ |
$25461.3709313$ |
$1$ |
$7$ |
| 9.1.117619223996254464.4 |
$x^{9} + 18 x^{7} + 108 x^{5} + 240 x^{3} + 144 x - 190$ |
$9$ |
(1, 4) |
$2^{8}\cdot 3^{22}\cdot 11^{4}$ |
$3$ |
$78.8351343715$ |
$90.06892127419562$ |
|
|
? |
$(C_9:C_3):C_2$ (as 9T10) |
$[9]$ |
$[9]$ |
$2$ |
$4$ |
$36607.0551451$ |
$1$ |
$11$ |
| 9.1.153129560333904729.1 |
$x^{9} - 36 x^{6} - 189 x^{5} - 126 x^{4} + 1599 x^{3} + 3456 x^{2} + 1908 x - 1432$ |
$9$ |
(1, 4) |
$3^{22}\cdot 47^{4}$ |
$2$ |
$81.18036580549796$ |
$100.54149285149961$ |
|
|
|
$D_{9}$ (as 9T3) |
$[9]$ |
$[9]$ |
$2$ |
$4$ |
$20909.930704758128$ |
$1$ |
$47$ |
| 9.1.3557981525886697536.1 |
$x^{9} - 84 x^{6} + 396 x^{5} + 1188 x^{4} - 7416 x^{3} + 3564 x^{2} + 38016 x - 58560$ |
$9$ |
(1, 4) |
$2^{6}\cdot 3^{22}\cdot 11^{6}$ |
$3$ |
$115.14493907$ |
$131.39653146428563$ |
|
|
|
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ (as 9T32) |
$[9]$ |
$[9]$ |
$2$ |
$4$ |
$709842.879718$ |
$1$ |
$11$ |
| 9.1.502...000.8 |
$x^{9} - 3240 x^{3} + 29160 x - 19440$ |
$9$ |
(1, 4) |
$2^{12}\cdot 3^{22}\cdot 5^{8}$ |
$3$ |
$154.517046579$ |
$186.81049803341764$ |
|
|
? |
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ (as 9T32) |
$[9]$ |
$[9]$ |
$2$ |
$4$ |
$782901.193738$ |
$1$ |
$5$ |
| 9.1.502...000.16 |
$x^{9} + 45 x^{7} + 675 x^{5} + 3750 x^{3} + 5625 x - 350$ |
$9$ |
(1, 4) |
$2^{12}\cdot 3^{22}\cdot 5^{8}$ |
$3$ |
$154.517046579$ |
$173.43952060226852$ |
|
|
? |
$(C_9:C_3):C_2$ (as 9T10) |
$[9]$ |
$[9]$ |
$2$ |
$4$ |
$1172047.55693$ |
$1$ |
$5$ |
| 9.1.227...304.1 |
$x^{9} + 72 x^{7} - 84 x^{6} + 1728 x^{5} - 4032 x^{4} + 16176 x^{3} - 48384 x^{2} - 39780 x - 21952$ |
$9$ |
(1, 4) |
$2^{12}\cdot 3^{22}\cdot 11^{6}$ |
$3$ |
$182.781197408$ |
$220.98174457017942$ |
|
|
? |
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ (as 9T32) |
$[9]$ |
$[9]$ |
$2$ |
$4$ |
$2530899.90424$ |
$1$ |
$11$ |
| 9.1.740...664.2 |
$x^{9} + 6048 x^{3} + 27216 x - 60480$ |
$9$ |
(1, 4) |
$2^{12}\cdot 3^{22}\cdot 7^{8}$ |
$3$ |
$208.385734836$ |
$251.93752902642356$ |
|
|
? |
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ (as 9T32) |
$[3, 9]$ |
$[3, 9]$ |
$2$ |
$4$ |
$1636334.62852$ |
$1$ |
$7$ |
| 9.9.161...849.1 |
$x^{9} - 549 x^{7} + 100467 x^{5} - 6809430 x^{3} + 124612569 x - 204509881$ |
$9$ |
(9, 0) |
$3^{22}\cdot 61^{6}$ |
$2$ |
$227.256487783$ |
$227.25648778266307$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$[3]$ |
$2$ |
$8$ |
$22542041.8789$ |
$9$ |
$61$ |
| 9.9.161...849.2 |
$x^{9} - 549 x^{7} + 100467 x^{5} - 6809430 x^{3} + 124612569 x - 163199339$ |
$9$ |
(9, 0) |
$3^{22}\cdot 61^{6}$ |
$2$ |
$227.256487783$ |
$227.25648778266307$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$[3]$ |
$2$ |
$8$ |
$20727937.8195$ |
$9$ |
$61$ |
| 9.9.283...921.1 |
$x^{9} - 603 x^{7} + 121203 x^{5} - 9022890 x^{3} + 181360089 x - 302868341$ |
$9$ |
(9, 0) |
$3^{22}\cdot 67^{6}$ |
$2$ |
$241.924360785$ |
$241.92436078502766$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$[3]$ |
$2$ |
$8$ |
$33313604.8377$ |
$9$ |
$67$ |
| 9.9.283...921.2 |
$x^{9} - 603 x^{7} + 121203 x^{5} - 9022890 x^{3} + 181360089 x - 38196901$ |
$9$ |
(9, 0) |
$3^{22}\cdot 67^{6}$ |
$2$ |
$241.924360785$ |
$241.92436078502766$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$[3]$ |
$2$ |
$8$ |
$39147780.0798$ |
$9$ |
$67$ |
| 9.9.474...001.2 |
$x^{9} - 657 x^{7} + 143883 x^{5} - 11670510 x^{3} + 255584169 x - 357506623$ |
$9$ |
(9, 0) |
$3^{22}\cdot 73^{6}$ |
$2$ |
$256.160192244$ |
$256.16019224397155$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3, 3]$ |
$[3, 3]$ |
$2$ |
$8$ |
$6746787.86797$ |
$9$ |
$73$ |
| 9.9.474...001.3 |
$x^{9} - 657 x^{7} + 143883 x^{5} - 11670510 x^{3} + 255584169 x - 105423607$ |
$9$ |
(9, 0) |
$3^{22}\cdot 73^{6}$ |
$2$ |
$256.160192244$ |
$256.16019224397155$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3, 3]$ |
$[3, 3]$ |
$2$ |
$8$ |
$14122790.3992$ |
$9$ |
$73$ |
| 9.9.178...969.3 |
$x^{9} - 819 x^{7} + 223587 x^{5} - 22607130 x^{3} + 617174649 x - 935181611$ |
$9$ |
(9, 0) |
$3^{22}\cdot 7^{6}\cdot 13^{6}$ |
$3$ |
$296.704405834$ |
$296.70440583414893$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3, 3]$ |
$[3, 3]$ |
$2$ |
$8$ |
$20888585.7217$ |
$9$ |
$13$ |
| 9.9.178...969.4 |
$x^{9} - 819 x^{7} + 223587 x^{5} - 22607130 x^{3} + 617174649 x - 324789101$ |
$9$ |
(9, 0) |
$3^{22}\cdot 7^{6}\cdot 13^{6}$ |
$3$ |
$296.704405834$ |
$296.70440583414893$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3, 3]$ |
$[3, 3]$ |
$2$ |
$8$ |
$14988576.9022$ |
$9$ |
$13$ |
| 9.9.374...161.1 |
$x^{9} - 927 x^{7} + 286443 x^{5} - 32781810 x^{3} + 1012957929 x - 1968001327$ |
$9$ |
(9, 0) |
$3^{22}\cdot 103^{6}$ |
$2$ |
$322.246258474$ |
$322.24625847373744$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$[3]$ |
$2$ |
$8$ |
$38477220.6901$ |
$9$ |
$103$ |
| 9.9.374...161.2 |
$x^{9} - 927 x^{7} + 286443 x^{5} - 32781810 x^{3} + 1012957929 x - 20761813$ |
$9$ |
(9, 0) |
$3^{22}\cdot 103^{6}$ |
$2$ |
$322.246258474$ |
$322.24625847373744$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$[3]$ |
$2$ |
$8$ |
$123953638.979$ |
$9$ |
$103$ |
| 9.9.173...321.3 |
$x^{9} - 1197 x^{7} + 477603 x^{5} - 70579110 x^{3} + 2816106489 x - 7154369117$ |
$9$ |
(9, 0) |
$3^{22}\cdot 7^{6}\cdot 19^{6}$ |
$3$ |
$382.117998606$ |
$382.11799860557556$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3, 3]$ |
$[3, 3]$ |
$2$ |
$8$ |
$36518016.2328$ |
$9$ |
$19$ |
| 9.9.173...321.5 |
$x^{9} - 1197 x^{7} + 477603 x^{5} - 70579110 x^{3} + 2816106489 x - 2754937927$ |
$9$ |
(9, 0) |
$3^{22}\cdot 7^{6}\cdot 19^{6}$ |
$3$ |
$382.117998606$ |
$382.11799860557556$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3, 3]$ |
$[3, 3]$ |
$2$ |
$8$ |
$61900198.1351$ |
$9$ |
$19$ |
| 9.9.371...209.1 |
$x^{9} - 1359 x^{7} + 615627 x^{5} - 103288530 x^{3} + 4678970409 x - 12769905259$ |
$9$ |
(9, 0) |
$3^{22}\cdot 151^{6}$ |
$2$ |
$415.860526071$ |
$415.8605260709227$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[57]$ |
$[57]$ |
$2$ |
$8$ |
$8710235.69063$ |
$9$ |
$151$ |
| 9.9.371...209.2 |
$x^{9} - 1359 x^{7} + 615627 x^{5} - 103288530 x^{3} + 4678970409 x - 6751626911$ |
$9$ |
(9, 0) |
$3^{22}\cdot 151^{6}$ |
$2$ |
$415.860526071$ |
$415.8605260709227$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$[3]$ |
$2$ |
$8$ |
$408932962.035$ |
$9$ |
$151$ |
| 9.9.162...641.1 |
$x^{9} - 1737 x^{7} + 1005723 x^{5} - 215671710 x^{3} + 12487392009 x - 36743270327$ |
$9$ |
(9, 0) |
$3^{22}\cdot 193^{6}$ |
$2$ |
$489.780255116$ |
$489.7802551159028$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$[3]$ |
$2$ |
$8$ |
$683832637.298$ |
$9$ |
$193$ |
| 9.9.162...641.2 |
$x^{9} - 1737 x^{7} + 1005723 x^{5} - 215671710 x^{3} + 12487392009 x - 28475854777$ |
$9$ |
(9, 0) |
$3^{22}\cdot 193^{6}$ |
$2$ |
$489.780255116$ |
$489.7802551159028$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$[3]$ |
$2$ |
$8$ |
$486456215.083$ |
$9$ |
$193$ |
| 9.9.253...329.9 |
$x^{9} - 657 x^{7} - 1971 x^{6} + 126144 x^{5} + 772632 x^{4} - 4949400 x^{3} - 55534896 x^{2} - 165395808 x - 161090560$ |
$9$ |
(9, 0) |
$3^{22}\cdot 73^{8}$ |
$2$ |
$664.6352746993293$ |
$664.6352746993293$ |
|
|
|
$C_9:C_3$ (as 9T6) |
$[3, 9]$ |
$[3, 9]$ |
$2$ |
$8$ |
$3775184677.6132364$ |
$9$ |
$73$ |
| 9.9.253...329.10 |
$x^{9} - 657 x^{7} - 3942 x^{6} + 72927 x^{5} + 480924 x^{4} - 2568432 x^{3} - 15953274 x^{2} + 27429093 x + 158599727$ |
$9$ |
(9, 0) |
$3^{22}\cdot 73^{8}$ |
$2$ |
$664.6352746993293$ |
$664.6352746993293$ |
|
|
? |
$C_9:C_3$ (as 9T6) |
$[3, 9]$ |
$[3, 9]$ |
$2$ |
$8$ |
$281385343.1865685$ |
$9$ |
$73$ |
| 9.9.147...289.2 |
$x^{9} - 819 x^{7} + 223587 x^{5} - 22607130 x^{3} + 617174649 x - 1308322288$ |
$9$ |
(9, 0) |
$3^{22}\cdot 7^{8}\cdot 13^{8}$ |
$3$ |
$808.47487326$ |
$808.4748732595972$ |
|
|
|
$C_9:C_3$ (as 9T6) |
$[3, 9]$ |
$[6, 18]$ |
$2$ |
$8$ |
$9718050898.45$ |
$7$ |
$13$ |
| 9.9.147...289.8 |
$x^{9} - 819 x^{7} + 223587 x^{5} - 22607130 x^{3} + 617174649 x - 1275721811$ |
$9$ |
(9, 0) |
$3^{22}\cdot 7^{8}\cdot 13^{8}$ |
$3$ |
$808.47487326$ |
$808.4748732595972$ |
|
|
? |
$C_9:C_3$ (as 9T6) |
$[3, 9]$ |
$[3, 9]$ |
$2$ |
$8$ |
$629858099.887$ |
$9$ |
$13$ |
| 12.4.666334875701477376.1 |
$x^{12} - 12 x^{10} - 8 x^{9} + 81 x^{8} - 216 x^{6} + 567 x^{4} - 216 x^{3} - 972 x^{2} + 1296 x - 513$ |
$12$ |
(4, 4) |
$2^{18}\cdot 3^{26}$ |
$2$ |
$30.5708639322$ |
$57.40493167745777$ |
|
|
? |
$C_2^6:C_9$ (as 12T166) |
trivial |
trivial |
$2$ |
$7$ |
$38901.5219395$ |
$4$ |
$3$ |
| 12.8.666334875701477376.1 |
$x^{12} - 12 x^{10} - 4 x^{9} + 18 x^{8} + 108 x^{7} - 132 x^{6} + 72 x^{5} - 288 x^{4} + 280 x^{3} - 48 x + 8$ |
$12$ |
(8, 2) |
$2^{18}\cdot 3^{26}$ |
$2$ |
$30.5708639322$ |
$57.40493167745777$ |
|
|
? |
$C_2^6:C_9$ (as 12T166) |
trivial |
trivial |
$2$ |
$9$ |
$85452.9921479$ |
$8$ |
$3$ |
| 18.6.258...864.1 |
$x^{18} - 54 x^{14} - 42 x^{12} + 603 x^{10} + 1539 x^{8} + 1368 x^{6} + 450 x^{4} + 27 x^{2} - 1$ |
$18$ |
(6, 6) |
$2^{18}\cdot 3^{44}$ |
$2$ |
$29.3309679999$ |
$41.48025274304532$ |
|
|
? |
$C_2^2 : C_9$ (as 18T7) |
trivial |
trivial |
$2$ |
$11$ |
$2459714.37439$ |
$6$ |
$3$ |
| 18.10.258...864.1 |
$x^{18} - 18 x^{14} + 9 x^{12} + 81 x^{10} - 54 x^{8} - 90 x^{6} + 81 x^{4} - 9$ |
$18$ |
(10, 4) |
$2^{18}\cdot 3^{44}$ |
$2$ |
$29.330967999939233$ |
|
|
|
? |
$C_2^8:C_9$ (as 18T368) |
trivial |
trivial |
$2$ |
$13$ |
$6765640.006566327$ |
$10$ |
$3$ |
| 18.2.258...864.2 |
$x^{18} + 9 x^{16} + 9 x^{14} - 96 x^{12} - 333 x^{10} - 450 x^{8} - 306 x^{6} - 108 x^{4} - 18 x^{2} - 1$ |
$18$ |
(2, 8) |
$2^{18}\cdot 3^{44}$ |
$2$ |
$29.3309679999$ |
|
|
|
✓ |
$C_2^8:C_9$ (as 18T368) |
trivial |
trivial |
$2$ |
$9$ |
$1164023.95238$ |
$2$ |
$3$ |
| 18.0.352...591.1 |
$x^{18} + 9 x^{16} - 9 x^{15} + 162 x^{14} - 99 x^{13} + 1473 x^{12} - 1404 x^{11} + 6264 x^{10} - 5939 x^{9} + 12636 x^{8} - 11961 x^{7} + 14742 x^{6} - 10530 x^{5} + 7452 x^{4} - 3267 x^{3} + 1215 x^{2} - 243 x + 27$ |
$18$ |
(0, 9) |
$-\,3^{44}\cdot 71^{3}$ |
$2$ |
$29.8427924526$ |
$123.5735646798655$ |
✓ |
|
? |
$C_2^2:C_{18}$ (as 18T26) |
$[21]$ |
$[21]$ |
$2$ |
$8$ |
$40934.0329443$ |
$0$ |
$71$ |
| 18.6.419...741.1 |
$x^{18} - 9 x^{17} + 45 x^{16} - 156 x^{15} + 405 x^{14} - 819 x^{13} + 1302 x^{12} - 1611 x^{11} + 1485 x^{10} - 880 x^{9} + 99 x^{8} + 423 x^{7} - 474 x^{6} + 225 x^{5} - 63 x^{3} + 27 x^{2} - 3$ |
$18$ |
(6, 6) |
$3^{44}\cdot 426061$ |
$2$ |
$30.1331707674$ |
$9572.65245309844$ |
|
|
✓ |
$C_2\wr C_9$ (as 18T460) |
trivial |
trivial |
$2$ |
$11$ |
$3592184.17767$ |
$6$ |
$426061$ |
| 18.0.132...368.2 |
$x^{18} + 36 x^{16} + 540 x^{14} + 4368 x^{12} + 20592 x^{10} + 57024 x^{8} + 88704 x^{6} + 69120 x^{4} + 20736 x^{2} + 512$ |
$18$ |
(0, 9) |
$-\,2^{27}\cdot 3^{44}$ |
$2$ |
$41.480252743$ |
$41.48025274304532$ |
✓ |
✓ |
? |
$C_{18}$ (as 18T1) |
$[333]$ |
$[333]$ |
$2$ |
$8$ |
$40934.0329443$ |
$0$ |
$3$ |
| 18.0.232...771.2 |
$x^{18} - 9 x^{17} + 45 x^{16} - 156 x^{15} + 504 x^{14} - 1512 x^{13} + 4272 x^{12} - 10422 x^{11} + 24552 x^{10} - 51962 x^{9} + 108099 x^{8} - 193914 x^{7} + 351249 x^{6} - 518733 x^{5} + 814050 x^{4} - 933768 x^{3} + 1272483 x^{2} - 860841 x + 992091$ |
$18$ |
(0, 9) |
$-\,3^{44}\cdot 11^{9}$ |
$2$ |
$48.6399077969$ |
$48.6399077968597$ |
✓ |
✓ |
? |
$C_{18}$ (as 18T1) |
$[1791]$ |
$[1791]$ |
$2$ |
$8$ |
$40934.0329443$ |
$0$ |
$11$ |
| 18.18.104...613.1 |
$x^{18} - 9 x^{17} - 9 x^{16} + 276 x^{15} - 360 x^{14} - 3024 x^{13} + 6864 x^{12} + 13338 x^{11} - 44460 x^{10} - 12218 x^{9} + 118251 x^{8} - 56754 x^{7} - 104295 x^{6} + 107991 x^{5} - 10584 x^{4} - 23004 x^{3} + 8559 x^{2} - 297 x - 159$ |
$18$ |
(18, 0) |
$3^{44}\cdot 13^{9}$ |
$2$ |
$52.8771545414$ |
$52.87715454138718$ |
|
✓ |
? |
$C_{18}$ (as 18T1) |
trivial |
trivial |
$2$ |
$17$ |
$9384873349.02$ |
$18$ |
$13$ |
| 18.18.126...401.1 |
$x^{18} - 72 x^{16} - 48 x^{15} + 1917 x^{14} + 1944 x^{13} - 24780 x^{12} - 30708 x^{11} + 164547 x^{10} + 240556 x^{9} - 512883 x^{8} - 957456 x^{7} + 410361 x^{6} + 1650123 x^{5} + 829629 x^{4} - 421407 x^{3} - 566379 x^{2} - 206577 x - 26241$ |
$18$ |
(18, 0) |
$3^{44}\cdot 71^{6}$ |
$2$ |
$60.727096451$ |
$123.5735646798655$ |
|
|
? |
$C_2^2 : C_9$ (as 18T7) |
trivial |
$[2]$ |
$2$ |
$17$ |
$25129615009.6$ |
$17$ |
$71$ |
| 18.0.504...000.2 |
$x^{18} + 27 x^{16} + 495 x^{14} + 6219 x^{12} + 59292 x^{10} - 2 x^{9} + 430038 x^{8} + 378 x^{7} + 2361801 x^{6} - 8244 x^{5} + 9427185 x^{4} + 39510 x^{3} + 24883956 x^{2} - 34668 x + 33385281$ |
$18$ |
(0, 9) |
$-\,2^{18}\cdot 3^{44}\cdot 5^{9}$ |
$3$ |
$65.5860382937$ |
$65.58603829373517$ |
✓ |
✓ |
? |
$C_{18}$ (as 18T1) |
$[24966]$ |
$[24966]$ |
$2$ |
$8$ |
$40934.0329443$ |
$0$ |
$5$ |
| 18.0.177...903.2 |
$x^{18} - 9 x^{17} + 72 x^{16} - 372 x^{15} + 1908 x^{14} - 7560 x^{13} + 30192 x^{12} - 97146 x^{11} + 320526 x^{10} - 855266 x^{9} + 2391597 x^{8} - 5261490 x^{7} + 12570585 x^{6} - 22062519 x^{5} + 44899785 x^{4} - 57927960 x^{3} + 99243441 x^{2} - 73205505 x + 103239849$ |
$18$ |
(0, 9) |
$-\,3^{44}\cdot 23^{9}$ |
$2$ |
$70.3331904717$ |
$70.3331904716926$ |
✓ |
✓ |
? |
$C_{18}$ (as 18T1) |
$[37449]$ |
$[37449]$ |
$2$ |
$8$ |
$40934.0329443$ |
$0$ |
$23$ |
| 18.18.104...448.1 |
$x^{18} - 81 x^{16} + 2655 x^{14} - 45297 x^{12} + 431892 x^{10} - 2 x^{9} - 2308842 x^{8} - 486 x^{7} + 6651561 x^{6} - 9756 x^{5} - 9569043 x^{4} - 30474 x^{3} + 6097788 x^{2} - 11988 x - 1330671$ |
$18$ |
(18, 0) |
$2^{18}\cdot 3^{44}\cdot 7^{9}$ |
$3$ |
$77.6024470406$ |
$77.60244704063278$ |
|
✓ |
? |
$C_{18}$ (as 18T1) |
trivial |
$[2]$ |
$2$ |
$17$ |
$298785930435$ |
$17$ |
$7$ |
| 18.0.776...875.2 |
$x^{18} - 9 x^{17} + 99 x^{16} - 588 x^{15} + 3960 x^{14} - 18144 x^{13} + 92400 x^{12} - 342630 x^{11} + 1416780 x^{10} - 4312778 x^{9} + 14929371 x^{8} - 36981954 x^{7} + 108462921 x^{6} - 210931569 x^{5} + 524296044 x^{4} - 733296564 x^{3} + 1530279351 x^{2} - 1193424489 x + 2049933909$ |
$18$ |
(0, 9) |
$-\,3^{44}\cdot 5^{9}\cdot 7^{9}$ |
$3$ |
$86.7621734016$ |
$86.76217340159114$ |
✓ |
✓ |
? |
$C_{18}$ (as 18T1) |
$[9, 27558]$ |
$[9, 27558]$ |
$2$ |
$8$ |
$40934.0329443$ |
$0$ |
$7$ |
| 18.18.127...837.1 |
$x^{18} - 9 x^{17} - 63 x^{16} + 708 x^{15} + 1368 x^{14} - 22680 x^{13} - 8688 x^{12} + 381834 x^{11} - 96624 x^{10} - 3649226 x^{9} + 1779507 x^{8} + 20069910 x^{7} - 9652575 x^{6} - 61945029 x^{5} + 18310590 x^{4} + 100083600 x^{3} + 1512891 x^{2} - 66689865 x - 25152441$ |
$18$ |
(18, 0) |
$3^{44}\cdot 37^{9}$ |
$2$ |
$89.2066565637$ |
$89.20665656370325$ |
|
✓ |
? |
$C_{18}$ (as 18T1) |
trivial |
$[2, 2]$ |
$2$ |
$17$ |
$1126658671410$ |
$16$ |
$37$ |
| 18.18.258...000.1 |
$x^{18} - 108 x^{16} + 4815 x^{14} - 114876 x^{12} + 1593027 x^{10} - 2 x^{9} - 13103172 x^{8} - 702 x^{7} + 62909706 x^{6} - 21474 x^{5} - 167889240 x^{4} - 110340 x^{3} + 225045081 x^{2} - 79218 x - 116212809$ |
$18$ |
(18, 0) |
$2^{27}\cdot 3^{44}\cdot 5^{9}$ |
$3$ |
$92.7526648573$ |
$92.75266485732145$ |
|
✓ |
? |
$C_{18}$ (as 18T1) |
$[2]$ |
$[2]$ |
$2$ |
$17$ |
$768809051429$ |
$18$ |
$5$ |
| 18.0.110...727.1 |
$x^{18} - 9 x^{17} + 126 x^{16} - 804 x^{15} + 6660 x^{14} - 33264 x^{13} + 204504 x^{12} - 828522 x^{11} + 4088970 x^{10} - 13554338 x^{9} + 55596501 x^{8} - 148974714 x^{7} + 515548185 x^{6} - 1074264939 x^{5} + 3146390811 x^{4} - 4653356364 x^{3} + 11461225869 x^{2} - 9291550797 x + 18936946911$ |
$18$ |
(0, 9) |
$-\,3^{44}\cdot 47^{9}$ |
$2$ |
$100.541492851$ |
$100.54149285149961$ |
✓ |
✓ |
? |
$C_{18}$ (as 18T1) |
$[9, 139365]$ |
$[9, 139365]$ |
$2$ |
$8$ |
$40934.03294431194$ |
$0$ |
$47$ |
| 18.0.533...376.1 |
$x^{18} + 108 x^{16} + 5679 x^{14} + 187740 x^{12} + 4265379 x^{10} - 2 x^{9} + 68738148 x^{8} + 1026 x^{7} + 783654186 x^{6} - 54738 x^{5} + 6087814200 x^{4} + 592092 x^{3} + 29249550873 x^{2} - 1092690 x + 66331746447$ |
$18$ |
(0, 9) |
$-\,2^{27}\cdot 3^{44}\cdot 7^{9}$ |
$3$ |
$109.746433078$ |
$109.74643307820273$ |
✓ |
✓ |
? |
$C_{18}$ (as 18T1) |
$[9, 185364]$ |
$[9, 185364]$ |
$2$ |
$8$ |
$40934.03294431194$ |
$0$ |
$7$ |
