| 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 |
| 18.0.184...848.1 |
$x^{18} + 45 x^{12} + 27 x^{6} + 27$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{37}$ |
$2$ |
$15.1857382405$ |
$15.185738240499598$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
trivial |
$6$ |
$8$ |
$10112.8188708$ |
| 18.0.104...000.1 |
$x^{18} + 49 x^{12} + 67 x^{6} + 27$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{21}\cdot 5^{12}$ |
$3$ |
$16.7227666831$ |
$16.722766683053592$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3]$ |
$6$ |
$8$ |
$15260.1251967$ |
| 18.0.593...088.4 |
$x^{18} + 37 x^{12} - 29 x^{6} + 27$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{21}\cdot 7^{12}$ |
$3$ |
$20.9279563564$ |
$20.927956356407396$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3]$ |
$6$ |
$8$ |
$143402.377454$ |
| 18.0.272...616.4 |
$x^{18} + 3 x^{16} - 12 x^{15} + 18 x^{14} - 24 x^{13} + 155 x^{12} - 198 x^{11} + 198 x^{10} - 382 x^{9} + 1305 x^{8} - 1326 x^{7} + 1667 x^{6} - 2772 x^{5} + 5418 x^{4} - 4584 x^{3} + 3528 x^{2} - 2340 x + 676$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{24}\cdot 11^{9}$ |
$3$ |
$22.7795258084$ |
$22.779525808351707$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3]$ |
$2$ |
$8$ |
$59552.7806315$ |
| 18.0.508...536.1 |
$x^{18} - 9 x^{17} + 39 x^{16} - 108 x^{15} + 240 x^{14} - 504 x^{13} + 988 x^{12} - 1638 x^{11} + 2775 x^{10} - 5295 x^{9} + 8883 x^{8} - 11094 x^{7} + 10882 x^{6} - 9186 x^{5} + 6900 x^{4} - 4230 x^{3} + 1815 x^{2} - 459 x + 51$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{21}\cdot 17^{9}$ |
$3$ |
$23.5804771242$ |
$23.58047712423637$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[6]$ |
$2$ |
$8$ |
$88275.1610738$ |
| 18.0.182...584.4 |
$x^{18} - 8 x^{17} + 33 x^{16} - 114 x^{15} + 383 x^{14} - 1156 x^{13} + 3191 x^{12} - 8326 x^{11} + 19412 x^{10} - 39456 x^{9} + 73892 x^{8} - 130472 x^{7} + 201816 x^{6} - 249352 x^{5} + 231552 x^{4} - 154816 x^{3} + 70784 x^{2} - 20064 x + 2736$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 7^{12}\cdot 19^{9}$ |
$3$ |
$25.3199099973$ |
$25.319909997284967$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3]$ |
$2$ |
$8$ |
$229812.209675$ |
| 18.0.456...875.1 |
$x^{18} - 3 x^{17} + 12 x^{16} - 35 x^{15} + 109 x^{14} - 232 x^{13} + 465 x^{12} - 905 x^{11} + 1933 x^{10} - 4064 x^{9} + 7485 x^{8} - 11437 x^{7} + 14084 x^{6} - 13785 x^{5} + 11517 x^{4} - 8290 x^{3} + 5868 x^{2} - 3024 x + 1728$ |
$18$ |
[0,9] |
$-\,5^{12}\cdot 83^{9}$ |
$2$ |
$26.6390693882$ |
$26.63906938822806$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 3]$ |
$2$ |
$8$ |
$226753.492401$ |
| 18.0.992...472.1 |
$x^{18} - 2 x^{16} + 15 x^{14} - 108 x^{12} + 103 x^{10} + 610 x^{8} + 1929 x^{6} - 576 x^{4} + 400 x^{2} + 1228$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 307^{9}$ |
$2$ |
$27.8135133458$ |
$27.813513345772268$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 3]$ |
$2$ |
$8$ |
$161496.647601$ |
| 18.0.109...875.2 |
$x^{18} + 126 x^{12} - 783 x^{6} + 1728$ |
$18$ |
[0,9] |
$-\,3^{37}\cdot 5^{12}$ |
$2$ |
$27.9723690041$ |
$27.972369004054183$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[2, 2]$ |
$6$ |
$8$ |
$3247944.75037$ |
| 18.0.119...739.1 |
$x^{18} - 8 x^{17} + 32 x^{16} - 80 x^{15} + 215 x^{14} - 426 x^{13} + 1103 x^{12} - 1508 x^{11} + 3243 x^{10} - 3606 x^{9} + 7335 x^{8} - 6028 x^{7} + 7654 x^{6} - 7690 x^{5} + 3739 x^{4} - 2416 x^{3} + 3272 x^{2} + 1888 x + 944$ |
$18$ |
[0,9] |
$-\,7^{12}\cdot 59^{9}$ |
$2$ |
$28.1076604947$ |
$28.107660494694265$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 3]$ |
$2$ |
$8$ |
$361929.852547$ |
| 18.0.134...848.1 |
$x^{18} - 35 x^{12} + 907 x^{6} + 27$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{21}\cdot 11^{12}$ |
$3$ |
$28.2871971762$ |
$28.28719717616423$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[2, 6]$ |
$6$ |
$8$ |
$707198.261609$ |
| 18.0.242...064.1 |
$x^{18} - 2 x^{17} - 4 x^{16} + 22 x^{15} + 44 x^{14} - 74 x^{13} + 223 x^{12} + 312 x^{11} - 1620 x^{10} - 576 x^{9} + 5508 x^{8} - 2916 x^{7} - 3861 x^{6} + 7614 x^{5} + 2916 x^{4} - 486 x^{3} + 2916 x^{2} + 1458 x + 729$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{9}\cdot 113^{9}$ |
$3$ |
$29.2271529888$ |
$29.22715298876584$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 6]$ |
$2$ |
$8$ |
$1281109.48365$ |
| 18.0.272...000.2 |
$x^{18} - 3 x^{17} + 5 x^{16} - 22 x^{15} + 69 x^{14} - 125 x^{13} + 204 x^{12} - 417 x^{11} + 873 x^{10} - 1568 x^{9} + 1977 x^{8} - 1405 x^{7} + 2837 x^{6} - 7788 x^{5} + 7654 x^{4} - 1164 x^{3} - 48 x^{2} - 144 x + 36$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{9}\cdot 5^{12}\cdot 7^{12}$ |
$4$ |
$29.418870015$ |
$29.418870015005623$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3]$ |
$6$ |
$8$ |
$25716902.8477$ |
| 18.0.373...104.2 |
$x^{18} + 18 x^{16} + 99 x^{14} + 36 x^{12} - 813 x^{10} - 1026 x^{8} + 3469 x^{6} + 12240 x^{4} + 17820 x^{2} + 6156$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{24}\cdot 19^{9}$ |
$3$ |
$29.9381622151$ |
$29.938162215130085$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3]$ |
$2$ |
$8$ |
$699865.028477$ |
| 18.0.502...000.1 |
$x^{18} - 2 x^{17} - 6 x^{16} + 22 x^{15} + 24 x^{14} - 200 x^{13} + 553 x^{12} - 586 x^{11} + 462 x^{10} - 1000 x^{9} + 5130 x^{8} - 10366 x^{7} + 5855 x^{6} + 100 x^{5} + 6984 x^{4} - 27518 x^{3} + 32286 x^{2} - 14018 x + 8471$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 5^{12}\cdot 43^{9}$ |
$3$ |
$30.4369334315$ |
$30.436933431502425$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 3]$ |
$2$ |
$8$ |
$400345.116$ |
| 18.0.998...728.1 |
$x^{18} - 95 x^{12} + 3667 x^{6} + 27$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{21}\cdot 13^{12}$ |
$3$ |
$31.6196478715$ |
$31.619647871494593$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3]$ |
$6$ |
$8$ |
$6280321.20776$ |
| 18.0.278...375.2 |
$x^{18} + 21 x^{16} - 35 x^{15} + 189 x^{14} - 336 x^{13} + 1132 x^{12} - 1764 x^{11} + 4200 x^{10} - 6552 x^{9} + 10080 x^{8} - 12180 x^{7} + 13756 x^{6} - 11844 x^{5} + 10143 x^{4} - 5684 x^{3} + 3087 x^{2} - 1029 x + 343$ |
$18$ |
[0,9] |
$-\,3^{24}\cdot 5^{12}\cdot 7^{9}$ |
$3$ |
$33.4726962003$ |
$33.472696200252074$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 3]$ |
$2$ |
$8$ |
$1284239.07252$ |
| 18.0.477...399.1 |
$x^{18} + 9 x^{16} + 81 x^{14} - 72 x^{13} + 399 x^{12} - 972 x^{11} + 2241 x^{10} - 2056 x^{9} + 7209 x^{8} - 9792 x^{7} + 11457 x^{6} - 5994 x^{5} + 13860 x^{4} - 6792 x^{3} + 1296 x^{2} + 6048 x + 3136$ |
$18$ |
[0,9] |
$-\,3^{37}\cdot 13^{9}$ |
$2$ |
$34.4922020897$ |
$34.49220208970384$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[4]$ |
$2$ |
$8$ |
$2302656.90616$ |
| 18.0.555...000.1 |
$x^{18} + 9 x^{12} + 4887 x^{6} + 27$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{33}\cdot 5^{12}$ |
$3$ |
$34.7847564541$ |
$34.78475645409113$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[2, 6]$ |
$6$ |
$8$ |
$3270633.26683$ |
| 18.0.555...000.2 |
$x^{18} + 3 x^{16} + 42 x^{14} + 295 x^{12} - 102 x^{10} - 2481 x^{8} + 1405 x^{6} + 6696 x^{4} - 9324 x^{2} + 3468$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{33}\cdot 5^{12}$ |
$3$ |
$34.7847564541$ |
$34.78475645409113$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 3]$ |
$6$ |
$8$ |
$5038492.40867$ |
| 18.0.555...000.3 |
$x^{18} - 39 x^{12} + 927 x^{6} + 19683$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{33}\cdot 5^{12}$ |
$3$ |
$34.7847564541$ |
$34.78475645409113$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3]$ |
$6$ |
$8$ |
$17989121.6832$ |
| 18.0.562...696.1 |
$x^{18} - 6 x^{17} + 53 x^{16} - 224 x^{15} + 1059 x^{14} - 3090 x^{13} + 9543 x^{12} - 18332 x^{11} + 38972 x^{10} - 39464 x^{9} + 60140 x^{8} + 22376 x^{7} + 29584 x^{6} + 113584 x^{5} + 243424 x^{4} - 171840 x^{3} + 703168 x^{2} - 494560 x + 271568$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 11^{9}\cdot 17^{12}$ |
$3$ |
$34.8082578374$ |
$34.80825783744108$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3]$ |
$2$ |
$8$ |
$3932278.1508$ |
| 18.0.623...963.1 |
$x^{18} - 90 x^{12} + 8937 x^{6} + 1728$ |
$18$ |
[0,9] |
$-\,3^{37}\cdot 7^{12}$ |
$2$ |
$35.0064393528$ |
$35.00643935284956$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[2, 6]$ |
$6$ |
$8$ |
$10060033.1251$ |
| 18.0.925...000.4 |
$x^{18} - 6 x^{16} + 54 x^{14} - 996 x^{12} + 3321 x^{10} + 5274 x^{8} - 256 x^{6} - 13920 x^{4} - 38400 x^{2} + 51200$ |
$18$ |
[0,9] |
$-\,2^{27}\cdot 3^{24}\cdot 5^{12}$ |
$3$ |
$35.7838174265$ |
$35.783817426546634$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3]$ |
$2$ |
$8$ |
$366199805.276$ |
| 18.0.140...968.1 |
$x^{18} + 24 x^{14} + 205 x^{12} - 312 x^{10} + 5412 x^{8} - 6005 x^{6} + 33456 x^{4} - 3612 x^{2} + 123$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{21}\cdot 41^{9}$ |
$3$ |
$36.6201446954$ |
$36.620144695373874$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[2, 2, 6]$ |
$2$ |
$8$ |
$1315359.70248$ |
| 18.0.179...632.1 |
$x^{18} - 9 x^{17} + 47 x^{16} - 172 x^{15} + 548 x^{14} - 1540 x^{13} + 3670 x^{12} - 7174 x^{11} + 12609 x^{10} - 20783 x^{9} + 28227 x^{8} - 27838 x^{7} + 33492 x^{6} - 52450 x^{5} + 33052 x^{4} + 11642 x^{3} - 27707 x^{2} + 14385 x + 11025$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 547^{9}$ |
$2$ |
$37.1261852145$ |
$37.126185214548926$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 3]$ |
$2$ |
$8$ |
$2377204.5255$ |
| 18.0.194...584.4 |
$x^{18} - 6 x^{17} + 21 x^{16} - 56 x^{15} + 207 x^{14} - 702 x^{13} + 1563 x^{12} - 1116 x^{11} - 3756 x^{10} + 12472 x^{9} - 8532 x^{8} - 18192 x^{7} + 49264 x^{6} - 36096 x^{5} - 192 x^{4} - 5376 x^{3} + 63744 x^{2} - 73728 x + 24576$ |
$18$ |
[0,9] |
$-\,2^{27}\cdot 3^{21}\cdot 7^{12}$ |
$3$ |
$37.2893789824$ |
$37.289378982440624$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[6]$ |
$2$ |
$8$ |
$674206540.477$ |
| 18.0.249...368.1 |
$x^{18} + 6 x^{16} + 24 x^{14} - 132 x^{13} + 13 x^{12} - 120 x^{11} - 348 x^{10} + 864 x^{9} + 2532 x^{8} + 1536 x^{7} + 4219 x^{6} - 2976 x^{5} - 5622 x^{4} + 7200 x^{3} + 16140 x^{2} + 10440 x + 2523$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{21}\cdot 17^{12}$ |
$3$ |
$37.8118049143$ |
$37.81180491429508$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 3]$ |
$6$ |
$8$ |
$11699771.704$ |
| 18.0.272...000.1 |
$x^{18} - 3 x^{17} - x^{16} + 60 x^{15} - 45 x^{14} - 23 x^{13} + 564 x^{12} - 1907 x^{11} + 4705 x^{10} - 7980 x^{9} + 11689 x^{8} - 15497 x^{7} + 18411 x^{6} - 17490 x^{5} + 12020 x^{4} - 5480 x^{3} + 1300 x^{2} - 100 x + 100$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 5^{12}\cdot 67^{9}$ |
$3$ |
$37.9930420251$ |
$37.99304202510457$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[2, 6]$ |
$2$ |
$8$ |
$2265666.46003$ |
| 18.0.353...875.1 |
$x^{18} - 9 x^{17} + 39 x^{16} - 108 x^{15} + 216 x^{14} - 336 x^{13} + 358 x^{12} - 42 x^{11} - 654 x^{10} + 1224 x^{9} - 1044 x^{8} + 192 x^{7} + 1849 x^{6} - 4557 x^{5} + 5559 x^{4} - 3996 x^{3} + 1740 x^{2} - 432 x + 48$ |
$18$ |
[0,9] |
$-\,3^{21}\cdot 5^{12}\cdot 7^{12}$ |
$3$ |
$38.5496252096$ |
$38.54962520958807$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3]$ |
$6$ |
$8$ |
$161495309.756$ |
| 18.0.617...000.1 |
$x^{18} - 3 x^{17} + 5 x^{16} + 14 x^{15} - 81 x^{14} + 169 x^{13} - 258 x^{12} - 27 x^{11} + 1341 x^{10} - 4988 x^{9} + 10815 x^{8} - 11791 x^{7} + 6239 x^{6} + 9090 x^{5} - 16910 x^{4} + 16140 x^{3} + 2700 x^{2} - 5400 x + 8100$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{9}\cdot 5^{12}\cdot 11^{12}$ |
$4$ |
$39.7639101803$ |
$39.76391018034719$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3]$ |
$6$ |
$8$ |
$430259533.331$ |
| 18.0.641...375.1 |
$x^{18} - 9 x^{17} + 60 x^{16} - 276 x^{15} + 1059 x^{14} - 3297 x^{13} + 8326 x^{12} - 17001 x^{11} + 28578 x^{10} - 40029 x^{9} + 55638 x^{8} - 80625 x^{7} + 148498 x^{6} - 237165 x^{5} + 364521 x^{4} - 394488 x^{3} + 378474 x^{2} - 212265 x + 118815$ |
$18$ |
[0,9] |
$-\,3^{21}\cdot 5^{9}\cdot 11^{12}$ |
$3$ |
$39.8463234609$ |
$39.84632346086567$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 6]$ |
$2$ |
$8$ |
$13204003.8996$ |
| 18.0.911...000.4 |
$x^{18} + 9 x^{16} - 4 x^{15} + 72 x^{14} + 162 x^{13} + 371 x^{12} + 198 x^{11} - 972 x^{10} + 2976 x^{9} + 10161 x^{8} + 40986 x^{7} + 67349 x^{6} + 63342 x^{5} + 188904 x^{4} + 273560 x^{3} + 182700 x^{2} + 147000 x + 122500$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{24}\cdot 5^{9}\cdot 7^{9}$ |
$4$ |
$40.6333247268$ |
$40.63332472677574$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 18]$ |
$2$ |
$8$ |
$5817988.03207$ |
| 18.0.948...568.4 |
$x^{18} + 6 x^{16} + 24 x^{14} - 156 x^{13} + 181 x^{12} - 168 x^{11} - 12 x^{10} + 864 x^{9} + 1956 x^{8} - 1968 x^{7} - 773 x^{6} + 384 x^{5} + 810 x^{4} + 14112 x^{3} + 32844 x^{2} + 27720 x + 9075$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{21}\cdot 19^{12}$ |
$3$ |
$40.7221339612$ |
$40.722133961240765$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[6, 18]$ |
$6$ |
$8$ |
$2038760.66718$ |
| 18.0.232...344.2 |
$x^{18} - 21 x^{16} - 6 x^{15} + 240 x^{14} - 216 x^{13} - 846 x^{12} + 2148 x^{11} + 2037 x^{10} - 12424 x^{9} + 2787 x^{8} + 32706 x^{7} - 12422 x^{6} - 2592 x^{5} + 218880 x^{4} + 247136 x^{3} + 7968 x^{2} - 96768 x + 25088$ |
$18$ |
[0,9] |
$-\,2^{18}\cdot 3^{24}\cdot 11^{12}$ |
$3$ |
$42.8009549384$ |
$42.80095493836984$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[2, 6]$ |
$4$ |
$8$ |
$1166308755.75$ |
| 18.0.315...808.1 |
$x^{18} - 9 x^{17} + 39 x^{16} - 108 x^{15} + 195 x^{14} - 189 x^{13} - 524 x^{12} + 3339 x^{11} - 8067 x^{10} + 10800 x^{9} - 13371 x^{8} + 23229 x^{7} + 48007 x^{6} - 214326 x^{5} + 311760 x^{4} - 243648 x^{3} + 86328 x^{2} - 3456 x + 48$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{33}\cdot 7^{12}$ |
$3$ |
$43.5319034665$ |
$43.531903466499294$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[2, 6]$ |
$6$ |
$8$ |
$36111792.2397$ |
| 18.0.315...808.2 |
$x^{18} - 9 x^{17} + 45 x^{16} - 138 x^{15} + 279 x^{14} - 369 x^{13} + 318 x^{12} - 315 x^{11} + 1413 x^{10} - 5320 x^{9} + 12681 x^{8} - 22095 x^{7} + 29967 x^{6} - 25938 x^{5} + 5652 x^{4} + 8688 x^{3} - 2448 x^{2} - 396 x + 484$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{33}\cdot 7^{12}$ |
$3$ |
$43.5319034665$ |
$43.531903466499294$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[2, 6]$ |
$6$ |
$8$ |
$31677601.476$ |
| 18.0.315...808.6 |
$x^{18} - 87 x^{12} + 8991 x^{6} + 19683$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{33}\cdot 7^{12}$ |
$3$ |
$43.5319034665$ |
$43.531903466499294$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 3, 3]$ |
$6$ |
$8$ |
$30334220.019$ |
| 18.0.326...000.1 |
$x^{18} + 20 x^{16} + 156 x^{14} + 1645 x^{12} + 5776 x^{10} + 32200 x^{8} + 36851 x^{6} + 291260 x^{4} + 564716 x^{2} + 471875$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 5^{9}\cdot 151^{9}$ |
$3$ |
$43.6174367122$ |
$43.617436712182645$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 12]$ |
$2$ |
$8$ |
$7146431.9696$ |
| 18.0.450...000.1 |
$x^{18} - 171 x^{12} + 9747 x^{6} + 27$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{37}\cdot 5^{12}$ |
$3$ |
$44.4033679831$ |
$44.40336798307826$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 6, 6]$ |
$6$ |
$8$ |
$16809351.5152$ |
| 18.0.450...000.2 |
$x^{18} - 9 x^{17} + 45 x^{16} - 126 x^{15} + 189 x^{14} - 27 x^{13} - 216 x^{12} - 729 x^{11} + 3807 x^{10} - 5414 x^{9} - 423 x^{8} + 17991 x^{7} - 36621 x^{6} + 11718 x^{5} + 99414 x^{4} - 188676 x^{3} + 121500 x^{2} + 11016 x + 1156$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{37}\cdot 5^{12}$ |
$3$ |
$44.4033679831$ |
$44.40336798307826$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 6, 6]$ |
$6$ |
$8$ |
$2396291.4248$ |
| 18.0.450...000.3 |
$x^{18} - 9 x^{17} + 45 x^{16} - 150 x^{15} + 369 x^{14} - 711 x^{13} + 1200 x^{12} - 1989 x^{11} + 2601 x^{10} - 1364 x^{9} - 3177 x^{8} + 9243 x^{7} - 10983 x^{6} + 5760 x^{5} + 3600 x^{4} - 9228 x^{3} + 9036 x^{2} - 4788 x + 1444$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{37}\cdot 5^{12}$ |
$3$ |
$44.4033679831$ |
$44.40336798307826$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 3, 3]$ |
$6$ |
$8$ |
$13593134.6098$ |
| 18.0.450...000.4 |
$x^{18} - 9 x^{17} + 45 x^{16} - 132 x^{15} + 234 x^{14} - 198 x^{13} - 42 x^{12} + 36 x^{11} + 1791 x^{10} - 7439 x^{9} + 17235 x^{8} - 30852 x^{7} + 45834 x^{6} - 41490 x^{5} - 1530 x^{4} + 32460 x^{3} - 9675 x^{2} - 2925 x + 4225$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{37}\cdot 5^{12}$ |
$3$ |
$44.4033679831$ |
$44.40336798307826$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 3, 3]$ |
$6$ |
$8$ |
$20331620.6317$ |
| 18.0.450...000.5 |
$x^{18} - 9 x^{17} + 45 x^{16} - 126 x^{15} + 189 x^{14} - 27 x^{13} - 516 x^{12} + 1071 x^{11} + 1557 x^{10} - 14664 x^{9} + 43227 x^{8} - 82809 x^{7} + 123129 x^{6} - 113832 x^{5} + 17064 x^{4} + 45324 x^{3} + 13500 x^{2} + 8316 x + 4356$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{37}\cdot 5^{12}$ |
$3$ |
$44.4033679831$ |
$44.40336798307826$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 3, 3]$ |
$6$ |
$8$ |
$8347574.07937$ |
| 18.0.450...000.6 |
$x^{18} + 504 x^{12} - 12528 x^{6} + 110592$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{37}\cdot 5^{12}$ |
$3$ |
$44.4033679831$ |
$44.40336798307826$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 3, 3]$ |
$6$ |
$8$ |
$6356272.17472$ |
| 18.0.450...000.7 |
$x^{18} - 9 x^{17} + 45 x^{16} - 114 x^{15} + 99 x^{14} + 315 x^{13} - 834 x^{12} - 639 x^{11} + 6543 x^{10} - 11714 x^{9} + 5733 x^{8} - 10035 x^{7} + 74517 x^{6} - 126324 x^{5} - 58824 x^{4} + 291912 x^{3} - 119808 x^{2} - 178992 x + 204304$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{37}\cdot 5^{12}$ |
$3$ |
$44.4033679831$ |
$44.40336798307826$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 3, 3, 3]$ |
$6$ |
$8$ |
$2421999.57121$ |
| 18.0.458...000.3 |
$x^{18} + 664 x^{12} - 368 x^{6} + 110592$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{9}\cdot 5^{12}\cdot 13^{12}$ |
$4$ |
$44.4484064669$ |
$44.448406466929114$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 9]$ |
$6$ |
$8$ |
$172375406.96$ |
| 18.0.519...867.3 |
$x^{18} - 3 x^{16} - 36 x^{15} + 171 x^{14} - 312 x^{13} + 616 x^{12} - 2430 x^{11} + 7284 x^{10} - 19902 x^{9} + 51336 x^{8} - 111702 x^{7} + 202515 x^{6} - 314298 x^{5} + 421431 x^{4} - 437878 x^{3} + 392661 x^{2} - 281418 x + 110764$ |
$18$ |
[0,9] |
$-\,3^{24}\cdot 107^{9}$ |
$2$ |
$44.7562366782$ |
$44.75623667824389$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[6, 6]$ |
$2$ |
$8$ |
$9603674.43615$ |
| 18.0.581...368.1 |
$x^{18} - 24 x^{16} + 180 x^{14} + 101 x^{12} - 6168 x^{10} + 14616 x^{8} + 39119 x^{6} + 35820 x^{4} - 19368 x^{2} + 2107$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{24}\cdot 43^{9}$ |
$3$ |
$45.0383596406$ |
$45.03835964061842$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[3, 3]$ |
$2$ |
$8$ |
$11837492.6514$ |
| 18.0.887...000.1 |
$x^{18} + 30 x^{16} + 351 x^{14} + 1540 x^{12} - 1209 x^{10} - 13950 x^{8} + 35161 x^{6} - 26640 x^{4} + 1296 x^{2} + 7020$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{21}\cdot 5^{9}\cdot 13^{9}$ |
$4$ |
$46.1089047106$ |
$46.10890471062616$ |
|
✓ |
|
$C_3^2 : C_2$ (as 18T4) |
$[6, 6]$ |
$2$ |
$8$ |
$45058308.3492$ |
