| 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 |
| 9.5.74310349154112.1 |
$x^{9} - 18 x^{7} - 36 x^{6} + 144 x^{4} + 420 x^{3} + 216 x^{2} - 432 x - 296$ |
$9$ |
[5,2] |
$2^{6}\cdot 3^{22}\cdot 37$ |
$3$ |
$34.7718422118$ |
$141.6067404717884$ |
|
|
? |
$S_3 \wr C_3 $ (as 9T28) |
$[3]$ |
$2$ |
$6$ |
$1539.48699795$ |
| 9.1.128536820158464.9 |
$x^{9} - 24 x^{6} + 18 x^{5} + 144 x^{3} - 216 x^{2} + 81 x + 24$ |
$9$ |
[1,4] |
$2^{12}\cdot 3^{22}$ |
$2$ |
$36.9547039969$ |
$44.67809093666845$ |
|
|
? |
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ (as 9T32) |
$[9]$ |
$2$ |
$4$ |
$1721.48302112$ |
| 9.9.3691950281939241.2 |
$x^{9} - 63 x^{7} + 1323 x^{5} - 10290 x^{3} + 21609 x - 5831$ |
$9$ |
[9,0] |
$3^{22}\cdot 7^{6}$ |
$2$ |
$53.6654893413$ |
$53.665489341339345$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$2$ |
$8$ |
$40597.2195867$ |
| 9.3.21527406891774000.1 |
$x^{9} + 9 x^{7} - 63 x^{6} + 162 x^{5} - 108 x^{4} - 1062 x^{3} + 648 x^{2} - 2592 x - 6228$ |
$9$ |
[3,3] |
$-\,2^{4}\cdot 3^{22}\cdot 5^{3}\cdot 7^{3}$ |
$4$ |
$65.2795057706$ |
$137.72636532873312$ |
|
|
? |
$C_3 \wr S_3 $ (as 9T20) |
$[9]$ |
$2$ |
$5$ |
$8944.57824334$ |
| 9.3.21527406891774000.4 |
$x^{9} + 9 x^{7} - 45 x^{6} + 162 x^{5} - 270 x^{4} - 1656 x^{3} + 3240 x^{2} - 1944 x - 1548$ |
$9$ |
[3,3] |
$-\,2^{4}\cdot 3^{22}\cdot 5^{3}\cdot 7^{3}$ |
$4$ |
$65.2795057706$ |
$137.72636532873312$ |
|
|
? |
$C_3 \wr S_3 $ (as 9T20) |
$[9]$ |
$2$ |
$5$ |
$19970.2386785$ |
| 9.3.21527406891774000.5 |
$x^{9} + 9 x^{7} - 18 x^{6} + 162 x^{5} + 162 x^{4} - 2088 x^{3} - 2592 x^{2} - 1620 x - 576$ |
$9$ |
[3,3] |
$-\,2^{4}\cdot 3^{22}\cdot 5^{3}\cdot 7^{3}$ |
$4$ |
$65.2795057706$ |
$137.72636532873312$ |
|
|
|
$C_3 \wr S_3 $ (as 9T20) |
$[9]$ |
$2$ |
$5$ |
$93651.8888379$ |
| 9.1.47091202575755625.1 |
$x^{9} + 9 x^{7} - 63 x^{6} - 81 x^{5} - 1296 x^{4} - 1359 x^{3} - 6885 x^{2} - 5265 x - 1125$ |
$9$ |
[1,4] |
$3^{22}\cdot 5^{4}\cdot 7^{4}$ |
$3$ |
$71.2112918775$ |
$86.76217340159114$ |
|
|
? |
$(C_9:C_3):C_2$ (as 9T10) |
$[9]$ |
$2$ |
$4$ |
$24173.5233815$ |
| 9.1.117619223996254464.6 |
$x^{9} + 18 x^{7} + 108 x^{5} + 240 x^{3} + 144 x - 80$ |
$9$ |
[1,4] |
$2^{8}\cdot 3^{22}\cdot 11^{4}$ |
$3$ |
$78.8351343715$ |
$90.06892127419562$ |
|
|
? |
$(C_9:C_3):C_2$ (as 9T10) |
$[9]$ |
$2$ |
$4$ |
$38155.7604755$ |
| 9.9.151470380950257681.2 |
$x^{9} - 117 x^{7} + 4563 x^{5} - 65910 x^{3} + 257049 x - 41743$ |
$9$ |
[9,0] |
$3^{22}\cdot 13^{6}$ |
$2$ |
$81.0821585694$ |
$81.0821585694425$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$2$ |
$8$ |
$214694.556945$ |
| 9.7.251048476872000000.3 |
$x^{9} - 45 x^{7} - 180 x^{6} + 4500 x^{4} + 10275 x^{3} - 33750 x^{2} - 54000 x + 107000$ |
$9$ |
[7,1] |
$-\,2^{9}\cdot 3^{22}\cdot 5^{6}$ |
$3$ |
$85.7642707108$ |
$203.98296188454924$ |
|
|
? |
$S_3 \wr C_3 $ (as 9T28) |
$[3]$ |
$2$ |
$7$ |
$208427.516954$ |
| 9.9.891166893611747769.4 |
$x^{9} - 189 x^{7} - 234 x^{6} + 9855 x^{5} + 13140 x^{4} - 180894 x^{3} - 287766 x^{2} + 1103103 x + 2115613$ |
$9$ |
[9,0] |
$3^{22}\cdot 73^{4}$ |
$2$ |
$98.7278987263$ |
$256.16019224397155$ |
|
|
? |
$C_9:C_3$ (as 9T6) |
$[3]$ |
$2$ |
$8$ |
$361023.493457$ |
| 9.9.1476349596018920529.1 |
$x^{9} - 171 x^{7} + 9747 x^{5} - 205770 x^{3} + 1172889 x - 1118017$ |
$9$ |
[9,0] |
$3^{22}\cdot 19^{6}$ |
$2$ |
$104.423633576$ |
$104.4236335758831$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$2$ |
$8$ |
$784138.972462$ |
| 9.9.278...729.1 |
$x^{9} - 279 x^{7} + 25947 x^{5} - 893730 x^{3} + 8311689 x - 8609599$ |
$9$ |
[9,0] |
$3^{22}\cdot 31^{6}$ |
$2$ |
$144.722991037$ |
$144.7229910367496$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$2$ |
$8$ |
$3358979.96303$ |
| 9.1.502...000.12 |
$x^{9} + 45 x^{7} + 675 x^{5} + 3750 x^{3} + 5625 x - 6290$ |
$9$ |
[1,4] |
$2^{12}\cdot 3^{22}\cdot 5^{8}$ |
$3$ |
$154.517046579$ |
$173.43952060226852$ |
|
|
? |
$(C_9:C_3):C_2$ (as 9T10) |
$[9]$ |
$2$ |
$4$ |
$1923214.44953$ |
| 9.9.805...081.2 |
$x^{9} - 333 x^{7} + 36963 x^{5} - 1519590 x^{3} + 16867449 x - 21932749$ |
$9$ |
[9,0] |
$3^{22}\cdot 37^{6}$ |
$2$ |
$162.841170893$ |
$162.84117089348263$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$2$ |
$8$ |
$2734333.08957$ |
| 9.1.128...000.2 |
$x^{9} + 54 x^{7} - 132 x^{6} + 162 x^{5} - 972 x^{4} + 21540 x^{3} - 79488 x^{2} + 121014 x - 67904$ |
$9$ |
[1,4] |
$2^{18}\cdot 3^{22}\cdot 5^{6}$ |
$3$ |
$171.528541422$ |
$203.98296188454924$ |
|
|
? |
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ (as 9T32) |
$[9]$ |
$2$ |
$4$ |
$1429023.50486$ |
| 9.3.160...000.9 |
$x^{9} - 90 x^{7} + 675 x^{5} - 1620 x^{4} - 7860 x^{3} - 8100 x^{2} - 18000 x - 4400$ |
$9$ |
[3,3] |
$-\,2^{16}\cdot 3^{22}\cdot 5^{7}$ |
$3$ |
$175.834533626$ |
$475.2774661340948$ |
|
|
|
$S_3\wr S_3$ (as 9T31) |
$[9]$ |
$2$ |
$5$ |
$9357834.7125$ |
| 9.9.198...841.1 |
$x^{9} - 387 x^{7} + 49923 x^{5} - 2385210 x^{3} + 30769209 x - 35698643$ |
$9$ |
[9,0] |
$3^{22}\cdot 43^{6}$ |
$2$ |
$180.001187741$ |
$180.00118774087656$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$2$ |
$8$ |
$4865245.74368$ |
| 9.1.163...696.1 |
$x^{9} + 702 x^{3} + 3159 x - 702$ |
$9$ |
[1,4] |
$2^{6}\cdot 3^{22}\cdot 13^{8}$ |
$3$ |
$227.590920799$ |
$259.7131739127838$ |
|
|
|
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ (as 9T32) |
$[3, 9]$ |
$2$ |
$4$ |
$3032688.24316$ |
| 9.9.762...289.1 |
$x^{9} - 711 x^{7} + 168507 x^{5} - 14791170 x^{3} + 350550729 x - 683845093$ |
$9$ |
[9,0] |
$3^{22}\cdot 79^{6}$ |
$2$ |
$270.010795251$ |
$270.0107952512594$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$2$ |
$8$ |
$49316037.5228$ |
| 9.9.178...969.2 |
$x^{9} - 819 x^{7} + 223587 x^{5} - 22607130 x^{3} + 617174649 x - 1016567279$ |
$9$ |
[9,0] |
$3^{22}\cdot 7^{6}\cdot 13^{6}$ |
$3$ |
$296.704405834$ |
$296.70440583414893$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3, 3]$ |
$2$ |
$8$ |
$24786188.8419$ |
| 9.9.261...761.2 |
$x^{9} - 873 x^{7} + 254043 x^{5} - 27380190 x^{3} + 796763529 x - 477327979$ |
$9$ |
[9,0] |
$3^{22}\cdot 97^{6}$ |
$2$ |
$309.607084633$ |
$309.60708463304076$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$2$ |
$8$ |
$50418139.3733$ |
| 9.1.397...064.1 |
$x^{9} - 24 x^{6} + 4212 x^{4} + 19380 x^{3} + 70200 x^{2} + 282906 x + 167968$ |
$9$ |
[1,4] |
$2^{18}\cdot 3^{22}\cdot 13^{6}$ |
$3$ |
$324.328634278$ |
$415.4282307558202$ |
|
|
? |
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ (as 9T32) |
$[3, 9]$ |
$2$ |
$4$ |
$8347531.13211$ |
| 9.9.526...169.2 |
$x^{9} - 981 x^{7} + 320787 x^{5} - 38850870 x^{3} + 1270423449 x - 2865899177$ |
$9$ |
[9,0] |
$3^{22}\cdot 109^{6}$ |
$2$ |
$334.642219781$ |
$334.642219781113$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$2$ |
$8$ |
$67539556.8747$ |
| 9.9.131...601.3 |
$x^{9} - 1143 x^{7} + 435483 x^{5} - 61451490 x^{3} + 2341301769 x - 4643684261$ |
$9$ |
[9,0] |
$3^{22}\cdot 127^{6}$ |
$2$ |
$370.537540419$ |
$370.53754041935434$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$2$ |
$8$ |
$96925908.8857$ |
| 9.9.173...321.6 |
$x^{9} - 1197 x^{7} + 477603 x^{5} - 70579110 x^{3} + 2816106489 x - 2119725937$ |
$9$ |
[9,0] |
$3^{22}\cdot 7^{6}\cdot 19^{6}$ |
$3$ |
$382.117998606$ |
$382.11799860557556$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3, 3]$ |
$2$ |
$8$ |
$89548749.0147$ |
| 9.9.226...049.1 |
$x^{9} - 1251 x^{7} + 521667 x^{5} - 80568570 x^{3} + 3359709369 x - 8172338617$ |
$9$ |
[9,0] |
$3^{22}\cdot 139^{6}$ |
$2$ |
$393.525549419$ |
$393.5255494187643$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$2$ |
$8$ |
$426399271.249$ |
| 9.9.469...441.2 |
$x^{9} - 1413 x^{7} + 665523 x^{5} - 116096790 x^{3} + 5468158809 x - 4732879139$ |
$9$ |
[9,0] |
$3^{22}\cdot 157^{6}$ |
$2$ |
$426.80500345$ |
$426.80500345029895$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$2$ |
$8$ |
$299546202.596$ |
| 9.9.588...481.4 |
$x^{9} - 1467 x^{7} + 717363 x^{5} - 129922410 x^{3} + 6353205849 x - 1641353113$ |
$9$ |
[9,0] |
$3^{22}\cdot 163^{6}$ |
$2$ |
$437.610905885$ |
$437.6109058848977$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[57]$ |
$2$ |
$8$ |
$12944238.1335$ |
| 9.9.110...329.1 |
$x^{9} - 1629 x^{7} + 884547 x^{5} - 177892230 x^{3} + 9659548089 x - 27863852959$ |
$9$ |
[9,0] |
$3^{22}\cdot 181^{6}$ |
$2$ |
$469.262068175$ |
$469.26206817515623$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$2$ |
$8$ |
$396011927.606$ |
| 9.9.194...809.2 |
$x^{9} - 1791 x^{7} + 1069227 x^{5} - 236417970 x^{3} + 14114152809 x - 6800956937$ |
$9$ |
[9,0] |
$3^{22}\cdot 199^{6}$ |
$2$ |
$499.879259761$ |
$499.8792597608661$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3]$ |
$2$ |
$8$ |
$405155978.397$ |
| 9.9.253...329.3 |
$x^{9} - 657 x^{7} - 3942 x^{6} + 72927 x^{5} + 406026 x^{4} - 3167616 x^{3} - 8987760 x^{2} + 61133193 x - 48590333$ |
$9$ |
[9,0] |
$3^{22}\cdot 73^{8}$ |
$2$ |
$664.635274699$ |
$664.6352746993293$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3, 9]$ |
$2$ |
$8$ |
$446775756.064079$ |
| 9.9.253...329.4 |
$x^{9} - 657 x^{7} + 72927 x^{5} - 145854 x^{4} - 2284608 x^{3} + 8881326 x^{2} - 3827025 x - 6085207$ |
$9$ |
[9,0] |
$3^{22}\cdot 73^{8}$ |
$2$ |
$664.635274699$ |
$664.6352746993293$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3, 9]$ |
$2$ |
$8$ |
$200215974.43286481$ |
| 9.9.253...329.5 |
$x^{9} - 657 x^{7} - 3942 x^{6} + 72927 x^{5} + 551880 x^{4} - 1886466 x^{3} - 17869086 x^{2} - 5364405 x + 54057887$ |
$9$ |
[9,0] |
$3^{22}\cdot 73^{8}$ |
$2$ |
$664.635274699$ |
$664.6352746993293$ |
|
✓ |
? |
$C_9$ (as 9T1) |
$[3, 9]$ |
$2$ |
$8$ |
$290669412.2221364$ |
| 9.9.253...329.8 |
$x^{9} - 657 x^{7} + 143883 x^{5} - 11670510 x^{3} + 255584169 x - 458061130$ |
$9$ |
[9,0] |
$3^{22}\cdot 73^{8}$ |
$2$ |
$664.6352746993293$ |
$664.6352746993293$ |
|
|
|
$C_9:C_3$ (as 9T6) |
$[3, 9]$ |
$2$ |
$8$ |
$3741814985.9651537$ |
| 9.9.147...289.5 |
$x^{9} - 819 x^{7} + 223587 x^{5} - 22607130 x^{3} + 617174649 x - 1302924259$ |
$9$ |
[9,0] |
$3^{22}\cdot 7^{8}\cdot 13^{8}$ |
$3$ |
$808.47487326$ |
$808.4748732595972$ |
|
|
? |
$C_9:C_3$ (as 9T6) |
$[3, 9]$ |
$2$ |
$8$ |
$1102928823.35$ |
| 9.9.147...289.9 |
$x^{9} - 819 x^{7} + 223587 x^{5} - 22607130 x^{3} + 617174649 x - 1243026512$ |
$9$ |
[9,0] |
$3^{22}\cdot 7^{8}\cdot 13^{8}$ |
$3$ |
$808.47487326$ |
$808.4748732595972$ |
|
|
|
$C_9:C_3$ (as 9T6) |
$[3, 9]$ |
$2$ |
$8$ |
$17546076512.4$ |
| 18.18.427...848.1 |
$x^{18} - 72 x^{16} + 2160 x^{14} - 34944 x^{12} + 329472 x^{10} - 1728 x^{9} - 1824768 x^{8} + 62208 x^{7} + 5677056 x^{6} - 746496 x^{5} - 8847360 x^{4} + 3317760 x^{3} + 5308416 x^{2} - 3981312 x + 733184$ |
$18$ |
[18,0] |
$2^{12}\cdot 3^{44}\cdot 13^{9}$ |
$3$ |
$83.9372507441$ |
$83.93725074408307$ |
|
|
? |
$C_9\times S_3$ (as 18T16) |
$[3]$ |
$2$ |
$17$ |
$241280047092$ |
| 18.18.504...917.2 |
$x^{18} - 117 x^{16} + 5616 x^{14} - 143481 x^{12} + 2114190 x^{10} - 18928 x^{9} - 18151614 x^{8} + 853281 x^{7} + 87020973 x^{6} - 13346775 x^{5} - 208209690 x^{4} + 81860220 x^{3} + 187388721 x^{2} - 145746783 x + 28295163$ |
$18$ |
[18,0] |
$3^{44}\cdot 13^{15}$ |
$2$ |
$124.331887661$ |
$124.33188766113486$ |
|
✓ |
? |
$C_{18}$ (as 18T1) |
$[3]$ |
$2$ |
$17$ |
$6142952678072.052$ |
| 18.18.122...752.2 |
$x^{18} - 126 x^{16} + 6615 x^{14} - 187278 x^{12} + 3090087 x^{10} - 29950074 x^{8} + 163061514 x^{6} - 444713220 x^{4} + 466948881 x^{2} - 54059887$ |
$18$ |
[18,0] |
$2^{18}\cdot 3^{44}\cdot 7^{15}$ |
$3$ |
$148.448140803$ |
$148.44814080346936$ |
|
✓ |
? |
$C_{18}$ (as 18T1) |
$[3]$ |
$2$ |
$17$ |
$58951439744759.19$ |
| 18.0.182...968.1 |
$x^{18} - 108 x^{16} + 5247 x^{14} - 143388 x^{12} + 2370627 x^{10} - 11662 x^{9} - 23508324 x^{8} + 1574370 x^{7} + 135435594 x^{6} - 52164126 x^{5} - 366226488 x^{4} + 539274204 x^{3} + 798965721 x^{2} - 1323415422 x + 4642192563$ |
$18$ |
[0,9] |
$-\,2^{27}\cdot 3^{44}\cdot 7^{12}$ |
$3$ |
$151.788925716$ |
$151.78892571582176$ |
✓ |
✓ |
|
$C_{18}$ (as 18T1) |
$[3, 425907]$ |
$2$ |
$8$ |
$10392888.21418944$ |
| 18.0.913...875.1 |
$x^{18} + 126 x^{16} + 7560 x^{14} + 262248 x^{12} + 5658912 x^{10} - 455651 x^{9} + 74680704 x^{8} - 23120748 x^{7} + 581442624 x^{6} + 62345052 x^{5} + 2240421120 x^{4} + 7443621360 x^{3} + 4032758016 x^{2} + 29517548256 x + 54655356609$ |
$18$ |
[0,9] |
$-\,3^{44}\cdot 5^{9}\cdot 7^{15}$ |
$3$ |
$165.970066985$ |
$165.97006698500886$ |
✓ |
✓ |
|
$C_{18}$ (as 18T1) |
$[3, 9, 38574]$ |
$2$ |
$8$ |
$10392888.21418944$ |
| 18.0.321...971.2 |
$x^{18} - 9 x^{17} - 63 x^{16} + 708 x^{15} + 1962 x^{14} - 26838 x^{13} - 31584 x^{12} + 573264 x^{11} + 303732 x^{10} - 7493220 x^{9} - 1045647 x^{8} + 54785232 x^{7} + 11183151 x^{6} - 192082149 x^{5} - 80910036 x^{4} - 253878960 x^{3} + 2034382203 x^{2} + 187118487 x + 9800651699$ |
$18$ |
[0,9] |
$-\,3^{44}\cdot 7^{12}\cdot 11^{9}$ |
$3$ |
$177.988292336$ |
$177.98829233603956$ |
✓ |
✓ |
? |
$C_{18}$ (as 18T1) |
$[3, 277677]$ |
$2$ |
$8$ |
$10392888.21418944$ |
| 18.18.144...213.1 |
$x^{18} - 9 x^{17} - 117 x^{16} + 1140 x^{15} + 4986 x^{14} - 55566 x^{13} - 92820 x^{12} + 1333800 x^{11} + 657540 x^{10} - 16970004 x^{9} + 658701 x^{8} + 116979840 x^{7} - 31572429 x^{6} - 423568593 x^{5} + 157061538 x^{4} + 730986108 x^{3} - 317010105 x^{2} - 451758969 x + 250762121$ |
$18$ |
[18,0] |
$3^{44}\cdot 7^{12}\cdot 13^{9}$ |
$3$ |
$193.493673543$ |
$193.4936735430652$ |
|
✓ |
|
$C_{18}$ (as 18T1) |
$[3]$ |
$2$ |
$17$ |
$753247107887002.5$ |
| 18.0.627...024.2 |
$x^{18} + 252 x^{16} + 26460 x^{14} + 1498224 x^{12} + 49441392 x^{10} + 958402368 x^{8} + 10435936896 x^{6} + 56923292160 x^{4} + 119538913536 x^{2} + 27678662144$ |
$18$ |
[0,9] |
$-\,2^{27}\cdot 3^{44}\cdot 7^{15}$ |
$3$ |
$209.937374033$ |
$209.9373740333372$ |
✓ |
✓ |
? |
$C_{18}$ (as 18T1) |
$[3, 9, 213228]$ |
$2$ |
$8$ |
$10392888.21418944$ |
| 18.0.307...008.1 |
$x^{18} - 216 x^{16} + 20151 x^{14} - 1038600 x^{12} + 31811859 x^{10} - 83486 x^{9} - 580300056 x^{8} + 15778854 x^{7} + 6024891594 x^{6} - 833273766 x^{5} - 31134339360 x^{4} + 14545097892 x^{3} + 74969385273 x^{2} - 62653320990 x + 334789624707$ |
$18$ |
[0,9] |
$-\,2^{27}\cdot 3^{44}\cdot 13^{12}$ |
$3$ |
$229.334976631$ |
$229.3349766307829$ |
✓ |
✓ |
? |
$C_{18}$ (as 18T1) |
$[3, 934911]$ |
$2$ |
$8$ |
$54961806.57802202$ |
| 18.0.697...000.1 |
$x^{18} - 81 x^{16} + 3735 x^{14} - 95193 x^{12} + 1676052 x^{10} - 11662 x^{9} - 15545754 x^{8} + 2833866 x^{7} + 129779769 x^{6} - 129308256 x^{5} + 167351805 x^{4} + 1656762030 x^{3} + 7379910756 x^{2} - 4689103608 x + 65738770341$ |
$18$ |
[0,9] |
$-\,2^{18}\cdot 3^{44}\cdot 5^{9}\cdot 7^{12}$ |
$4$ |
$239.999364426$ |
$239.9993644260504$ |
✓ |
✓ |
? |
$C_{18}$ (as 18T1) |
$[3, 3, 923742]$ |
$2$ |
$8$ |
$10392888.21418944$ |
| 18.0.292...248.2 |
$x^{18} - 324 x^{16} + 44775 x^{14} - 3393108 x^{12} + 151870707 x^{10} - 2236034 x^{9} - 4032329868 x^{8} + 543356262 x^{7} + 60647896506 x^{6} - 38980780722 x^{5} - 456682273992 x^{4} + 951034452948 x^{3} + 1449222098553 x^{2} - 5840898697746 x + 6529918591491$ |
$18$ |
[0,9] |
$-\,2^{27}\cdot 3^{44}\cdot 19^{12}$ |
$3$ |
$295.354637671$ |
$295.3546376705848$ |
✓ |
✓ |
|
$C_{18}$ (as 18T1) |
$[3, 3, 3, 111, 6327]$ |
$2$ |
$8$ |
$200739576.95029396$ |
| 18.18.328...333.2 |
$x^{18} - 333 x^{16} + 39960 x^{14} - 2147961 x^{12} + 54976302 x^{10} - 14845436 x^{9} - 713903382 x^{8} + 439970589 x^{7} + 4664989341 x^{6} - 4344963687 x^{5} - 13662633690 x^{4} + 15837166980 x^{3} + 12296370321 x^{2} - 15028897059 x - 873916209$ |
$18$ |
[18,0] |
$3^{44}\cdot 37^{15}$ |
$2$ |
$297.256370314$ |
$297.25637031384787$ |
|
✓ |
? |
$C_{18}$ (as 18T1) |
$[3]$ |
$2$ |
$17$ |
$18783533201005800$ |
| 18.18.391...336.1 |
$x^{18} - 342 x^{16} + 48735 x^{14} - 3745014 x^{12} + 167723127 x^{10} - 4412408418 x^{8} + 65205591066 x^{6} - 482690739060 x^{4} + 1375668606321 x^{2} - 1132751510659$ |
$18$ |
[18,0] |
$2^{18}\cdot 3^{44}\cdot 19^{15}$ |
$3$ |
$341.157086522$ |
$341.1570865222663$ |
|
✓ |
|
$C_{18}$ (as 18T1) |
$[3]$ |
$2$ |
$17$ |
$222183985349289660$ |
