| 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 |
| 22.0.394...623.1 |
$x^{22} - x^{21} + x^{20} - x^{19} + x^{18} - x^{17} + x^{16} - x^{15} + x^{14} - x^{13} + x^{12} - x^{11} + x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1$ |
$22$ |
[0,11] |
$-\,23^{21}$ |
$1$ |
$19.944865695$ |
$19.944865695037844$ |
✓ |
✓ |
✓ |
$C_{22}$ (as 22T1) |
$[3]$ |
$46$ |
$10$ |
$1038656.82438$ |
| 22.0.304...547.1 |
$x^{22} - x^{21} + 11 x^{20} - 8 x^{19} + 73 x^{18} - 46 x^{17} + 301 x^{16} - 145 x^{15} + 883 x^{14} - 355 x^{13} + 1776 x^{12} - 498 x^{11} + 2527 x^{10} - 574 x^{9} + 2324 x^{8} - 251 x^{7} + 1358 x^{6} - 161 x^{5} + 400 x^{4} + 20 x^{3} + 51 x^{2} - 6 x + 1$ |
$22$ |
[0,11] |
$-\,3^{11}\cdot 23^{20}$ |
$2$ |
$29.9567726697$ |
$29.956772669723485$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[23]$ |
$6$ |
$10$ |
$1038656.82438$ |
| 22.22.699...581.1 |
$x^{22} - x^{21} - 22 x^{20} + 22 x^{19} + 208 x^{18} - 208 x^{17} - 1103 x^{16} + 1103 x^{15} + 3589 x^{14} - 3589 x^{13} - 7359 x^{12} + 7359 x^{11} + 9385 x^{10} - 9385 x^{9} - 7060 x^{8} + 7060 x^{7} + 2807 x^{6} - 2807 x^{5} - 482 x^{4} + 482 x^{3} + 24 x^{2} - 24 x + 1$ |
$22$ |
[22,0] |
$3^{11}\cdot 23^{21}$ |
$2$ |
$34.5455207339$ |
$34.54552073394309$ |
|
✓ |
✓ |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$5503144493.95$ |
| 22.0.719...104.1 |
$x^{22} + 21 x^{20} + 190 x^{18} + 969 x^{16} + 3060 x^{14} + 6188 x^{12} + 8008 x^{10} + 6435 x^{8} + 3003 x^{6} + 715 x^{4} + 66 x^{2} + 1$ |
$22$ |
[0,11] |
$-\,2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
$34.59110152983455$ |
✓ |
✓ |
✓ |
$C_{22}$ (as 22T1) |
$[67]$ |
$4$ |
$10$ |
$1038656.82438$ |
| 22.22.837...125.1 |
$x^{22} - x^{21} - 31 x^{20} + 26 x^{19} + 379 x^{18} - 254 x^{17} - 2365 x^{16} + 1195 x^{15} + 8247 x^{14} - 2967 x^{13} - 16780 x^{12} + 4100 x^{11} + 20269 x^{10} - 3174 x^{9} - 14356 x^{8} + 1331 x^{7} + 5656 x^{6} - 301 x^{5} - 1100 x^{4} + 50 x^{3} + 81 x^{2} - 6 x - 1$ |
$22$ |
[22,0] |
$5^{11}\cdot 23^{20}$ |
$2$ |
$38.6740272187$ |
$38.67402721865352$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$17322043684.4$ |
| 22.22.165...392.1 |
$x^{22} - 23 x^{20} + 230 x^{18} - 1311 x^{16} + 4692 x^{14} - 10948 x^{12} + 16744 x^{10} - 16445 x^{8} + 9867 x^{6} - 3289 x^{4} + 506 x^{2} - 23$ |
$22$ |
[22,0] |
$2^{22}\cdot 23^{21}$ |
$2$ |
$39.8897313901$ |
$39.88973139007569$ |
|
✓ |
✓ |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$22759041914.1$ |
| 22.0.192...875.1 |
$x^{22} - x^{21} + 24 x^{20} - 24 x^{19} + 254 x^{18} - 254 x^{17} + 1565 x^{16} - 1565 x^{15} + 6257 x^{14} - 6257 x^{13} + 17205 x^{12} - 17205 x^{11} + 33949 x^{10} - 33949 x^{9} + 50394 x^{8} - 50394 x^{7} + 60261 x^{6} - 60261 x^{5} + 63550 x^{4} - 63550 x^{3} + 64056 x^{2} - 64056 x + 64079$ |
$22$ |
[0,11] |
$-\,5^{11}\cdot 23^{21}$ |
$2$ |
$44.5980754962$ |
$44.59807549620821$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[662]$ |
$2$ |
$10$ |
$1038656.82438$ |
| 22.0.339...343.1 |
$x^{22} - x^{21} + 32 x^{20} - 25 x^{19} + 490 x^{18} - 308 x^{17} + 4520 x^{16} - 2231 x^{15} + 27309 x^{14} - 10383 x^{13} + 110504 x^{12} - 30697 x^{11} + 297670 x^{10} - 57864 x^{9} + 513224 x^{8} - 60352 x^{7} + 528640 x^{6} - 39424 x^{5} + 280960 x^{4} + 1280 x^{3} + 59904 x^{2} - 6144 x + 2048$ |
$22$ |
[0,11] |
$-\,7^{11}\cdot 23^{20}$ |
$2$ |
$45.7597261119$ |
$45.75972611186407$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[737]$ |
$2$ |
$10$ |
$1038656.82438$ |
| 22.0.147...992.1 |
$x^{22} + 42 x^{20} + 760 x^{18} + 7752 x^{16} + 48960 x^{14} + 198016 x^{12} + 512512 x^{10} + 823680 x^{8} + 768768 x^{6} + 366080 x^{4} + 67584 x^{2} + 2048$ |
$22$ |
[0,11] |
$-\,2^{33}\cdot 23^{20}$ |
$2$ |
$48.9192049209$ |
$48.91920492091674$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[1541]$ |
$2$ |
$10$ |
$1038656.82438$ |
| 22.22.147...992.1 |
$x^{22} - 42 x^{20} + 760 x^{18} - 7752 x^{16} + 48960 x^{14} - 198016 x^{12} + 512512 x^{10} - 823680 x^{8} + 768768 x^{6} - 366080 x^{4} + 67584 x^{2} - 2048$ |
$22$ |
[22,0] |
$2^{33}\cdot 23^{20}$ |
$2$ |
$48.9192049209$ |
$48.91920492091674$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$354187150112$ |
| 22.22.780...889.1 |
$x^{22} - x^{21} - 45 x^{20} + 45 x^{19} + 875 x^{18} - 875 x^{17} - 9613 x^{16} + 9613 x^{15} + 65459 x^{14} - 65459 x^{13} - 284877 x^{12} + 284877 x^{11} + 786739 x^{10} - 786739 x^{9} - 1318221 x^{8} + 1318221 x^{7} + 1207731 x^{6} - 1207731 x^{5} - 476237 x^{4} + 476237 x^{3} + 41907 x^{2} - 41907 x - 5197$ |
$22$ |
[22,0] |
$7^{11}\cdot 23^{21}$ |
$2$ |
$52.7691545617$ |
$52.76915456165355$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$482091917601$ |
| 22.0.222...267.1 |
$x^{22} - x^{21} + 2 x^{20} + 40 x^{19} - 33 x^{18} + 59 x^{17} + 535 x^{16} - 361 x^{15} + 574 x^{14} + 2902 x^{13} - 1439 x^{12} + 2088 x^{11} + 6412 x^{10} - 3927 x^{9} + 3984 x^{8} + 2341 x^{7} - 9804 x^{6} + 3508 x^{5} + 355 x^{4} - 5700 x^{3} + 5006 x^{2} + 186 x + 1073$ |
$22$ |
[0,11] |
$-\,67^{21}$ |
$1$ |
$55.344109327$ |
$55.34410932695854$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[67]$ |
$2$ |
$10$ |
$338444542.043$ |
| 22.0.339...816.1 |
$x^{22} + 46 x^{20} + 920 x^{18} + 10488 x^{16} + 75072 x^{14} + 350336 x^{12} + 1071616 x^{10} + 2104960 x^{8} + 2525952 x^{6} + 1683968 x^{4} + 518144 x^{2} + 47104$ |
$22$ |
[0,11] |
$-\,2^{33}\cdot 23^{21}$ |
$2$ |
$56.4125991313$ |
$56.412599131264805$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[9596]$ |
$2$ |
$10$ |
$1038656.82438$ |
| 22.22.339...816.1 |
$x^{22} - 46 x^{20} + 920 x^{18} - 10488 x^{16} + 75072 x^{14} - 350336 x^{12} + 1071616 x^{10} - 2104960 x^{8} + 2525952 x^{6} - 1683968 x^{4} + 518144 x^{2} - 47104$ |
$22$ |
[22,0] |
$2^{33}\cdot 23^{21}$ |
$2$ |
$56.4125991313$ |
$56.412599131264805$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$1101074591220$ |
| 22.0.489...811.1 |
$x^{22} - 9 x^{21} + 48 x^{20} - 183 x^{19} + 655 x^{18} - 2122 x^{17} + 6491 x^{16} - 17468 x^{15} + 45646 x^{14} - 108112 x^{13} + 251537 x^{12} - 521318 x^{11} + 1081334 x^{10} - 1963079 x^{9} + 3653567 x^{8} - 5688311 x^{7} + 9483883 x^{6} - 12150619 x^{5} + 18112705 x^{4} - 17363285 x^{3} + 23145134 x^{2} - 12720749 x + 15354571$ |
$22$ |
[0,11] |
$-\,11^{11}\cdot 23^{20}$ |
$2$ |
$57.3628524298$ |
$57.36285242977494$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[15499]$ |
$2$ |
$10$ |
$1038656.82438$ |
| 22.22.127...288.1 |
$x^{22} - 2 x^{21} - 52 x^{20} + 98 x^{19} + 1099 x^{18} - 1928 x^{17} - 12143 x^{16} + 19510 x^{15} + 75178 x^{14} - 108194 x^{13} - 259836 x^{12} + 324714 x^{11} + 471886 x^{10} - 489902 x^{9} - 393631 x^{8} + 319292 x^{7} + 115208 x^{6} - 68812 x^{5} - 6974 x^{4} + 3640 x^{3} + 132 x^{2} - 48 x + 1$ |
$22$ |
[22,0] |
$2^{22}\cdot 3^{11}\cdot 23^{20}$ |
$3$ |
$59.9135453394$ |
$59.91354533944697$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$3259721489230$ |
| 22.22.307...437.1 |
$x^{22} - 9 x^{21} - 18 x^{20} + 357 x^{19} - 275 x^{18} - 5542 x^{17} + 10055 x^{16} + 41692 x^{15} - 107702 x^{14} - 145468 x^{13} + 550877 x^{12} + 109894 x^{11} - 1389694 x^{10} + 606757 x^{9} + 1491233 x^{8} - 1379831 x^{7} - 284987 x^{6} + 767825 x^{5} - 255689 x^{4} - 39833 x^{3} + 37580 x^{2} - 6581 x + 277$ |
$22$ |
[22,0] |
$13^{11}\cdot 23^{20}$ |
$2$ |
$62.3599951203$ |
$62.359995120299665$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$3411497799150$ |
| 22.22.112...653.1 |
$x^{22} - x^{21} - 68 x^{20} + 68 x^{19} + 2002 x^{18} - 2002 x^{17} - 33395 x^{16} + 33395 x^{15} + 346657 x^{14} - 346657 x^{13} - 2313707 x^{12} + 2313707 x^{11} + 9892669 x^{10} - 9892669 x^{9} - 26072546 x^{8} + 26072546 x^{7} + 38664841 x^{6} - 38664841 x^{5} - 26072546 x^{4} + 26072546 x^{3} + 3806248 x^{2} - 3806248 x - 268133$ |
$22$ |
[22,0] |
$11^{11}\cdot 23^{21}$ |
$2$ |
$66.1496360045$ |
$66.14963600447149$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$7739860067820$ |
| 22.0.148...375.1 |
$x^{22} - 9 x^{21} + 59 x^{20} - 273 x^{19} + 1195 x^{18} - 4387 x^{17} + 15557 x^{16} - 47572 x^{15} + 143444 x^{14} - 378050 x^{13} + 996721 x^{12} - 2278940 x^{11} + 5312470 x^{10} - 10499975 x^{9} + 21744445 x^{8} - 36444035 x^{7} + 67020055 x^{6} - 91292990 x^{5} + 148564990 x^{4} - 149610555 x^{3} + 214516775 x^{2} - 122653854 x + 155003209$ |
$22$ |
[0,11] |
$-\,3^{11}\cdot 5^{11}\cdot 23^{20}$ |
$3$ |
$66.985380076$ |
$66.98538007600956$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[91498]$ |
$2$ |
$10$ |
$1038656.82438$ |
| 22.0.293...624.1 |
$x^{22} + 69 x^{20} + 2070 x^{18} + 35397 x^{16} + 380052 x^{14} + 2660364 x^{12} + 12206376 x^{10} + 35965215 x^{8} + 64737387 x^{6} + 64737387 x^{4} + 29878794 x^{2} + 4074381$ |
$22$ |
[0,11] |
$-\,2^{22}\cdot 3^{11}\cdot 23^{21}$ |
$3$ |
$69.0910414679$ |
$69.09104146788619$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[2, 56764]$ |
$2$ |
$10$ |
$1038656.82438$ |
| 22.22.588...233.1 |
$x^{22} - 9 x^{21} - 29 x^{20} + 447 x^{19} - 45 x^{18} - 8947 x^{17} + 11069 x^{16} + 91788 x^{15} - 171900 x^{14} - 503122 x^{13} + 1217089 x^{12} + 1345876 x^{11} - 4447882 x^{10} - 974567 x^{9} + 8093877 x^{8} - 2261923 x^{7} - 6210705 x^{6} + 3693202 x^{5} + 1151278 x^{4} - 1207355 x^{3} + 143967 x^{2} + 43730 x - 6439$ |
$22$ |
[22,0] |
$17^{11}\cdot 23^{20}$ |
$2$ |
$71.311382657$ |
$71.31138265698625$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$22589470687200$ |
| 22.0.707...051.1 |
$x^{22} - x^{21} + 70 x^{20} - 70 x^{19} + 2140 x^{18} - 2140 x^{17} + 37537 x^{16} - 37537 x^{15} + 417589 x^{14} - 417589 x^{13} + 3077953 x^{12} - 3077953 x^{11} + 15284329 x^{10} - 15284329 x^{9} + 51249544 x^{8} - 51249544 x^{7} + 115986931 x^{6} - 115986931 x^{5} + 180724318 x^{4} - 180724318 x^{3} + 210603112 x^{2} - 210603112 x + 214677493$ |
$22$ |
[0,11] |
$-\,13^{11}\cdot 23^{21}$ |
$2$ |
$71.9122359457$ |
$71.91223594570167$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[138344]$ |
$2$ |
$10$ |
$1038656.82438$ |
| 22.22.865...889.1 |
$x^{22} - x^{21} - 42 x^{20} + 37 x^{19} + 703 x^{18} - 539 x^{17} - 6079 x^{16} + 3987 x^{15} + 29502 x^{14} - 16237 x^{13} - 81976 x^{12} + 36419 x^{11} + 128582 x^{10} - 41490 x^{9} - 109384 x^{8} + 20339 x^{7} + 45984 x^{6} - 3224 x^{5} - 7518 x^{4} + 419 x^{3} + 376 x^{2} - 39 x + 1$ |
$22$ |
[22,0] |
$89^{21}$ |
$1$ |
$72.5740517358$ |
$72.57405173576788$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$15755205659500$ |
| 22.0.199...019.1 |
$x^{22} - 9 x^{21} + 70 x^{20} - 363 x^{19} + 1845 x^{18} - 7462 x^{17} + 30023 x^{16} - 100740 x^{15} + 341082 x^{14} - 977548 x^{13} + 2866861 x^{12} - 7075946 x^{11} + 18221714 x^{10} - 38558891 x^{9} + 87678393 x^{8} - 156007735 x^{7} + 313286973 x^{6} - 448933295 x^{5} + 793158991 x^{4} - 832219241 x^{3} + 1285528692 x^{2} - 758821285 x + 1019110541$ |
$22$ |
[0,11] |
$-\,19^{11}\cdot 23^{20}$ |
$2$ |
$75.3895579572$ |
$75.38955795715201$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[408991]$ |
$2$ |
$10$ |
$1038656.82438$ |
| 22.22.341...625.1 |
$x^{22} - x^{21} - 91 x^{20} + 91 x^{19} + 3589 x^{18} - 3589 x^{17} - 80315 x^{16} + 80315 x^{15} + 1120837 x^{14} - 1120837 x^{13} - 10089915 x^{12} + 10089915 x^{11} + 58493509 x^{10} - 58493509 x^{9} - 210941371 x^{8} + 210941371 x^{7} + 435702341 x^{6} - 435702341 x^{5} - 426489275 x^{4} + 426489275 x^{3} + 104090181 x^{2} - 104090181 x + 7621189$ |
$22$ |
[22,0] |
$3^{11}\cdot 5^{11}\cdot 23^{21}$ |
$3$ |
$77.2461326792$ |
$77.24613267922518$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
$[2]$ |
$2$ |
$21$ |
$25638523812500$ |
| 22.0.351...000.1 |
$x^{22} - 2 x^{21} + 36 x^{20} - 62 x^{19} + 779 x^{18} - 1208 x^{17} + 11785 x^{16} - 16330 x^{15} + 135402 x^{14} - 166994 x^{13} + 1216660 x^{12} - 1317110 x^{11} + 8641614 x^{10} - 8043038 x^{9} + 48218481 x^{8} - 37307012 x^{7} + 206484136 x^{6} - 125495212 x^{5} + 645715650 x^{4} - 276536200 x^{3} + 1328901156 x^{2} - 304156912 x + 1368706081$ |
$22$ |
[0,11] |
$-\,2^{22}\cdot 5^{11}\cdot 23^{20}$ |
$3$ |
$77.3480544373$ |
$77.34805443730704$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[374638]$ |
$2$ |
$10$ |
$1038656.82438$ |
| 22.0.588...347.1 |
$x^{22} - x^{21} + 31 x^{20} - 96 x^{19} + 743 x^{18} - 2148 x^{17} + 9669 x^{16} - 25959 x^{15} + 87182 x^{14} - 197946 x^{13} + 491216 x^{12} - 903191 x^{11} + 1776770 x^{10} - 2627379 x^{9} + 3793565 x^{8} - 3601844 x^{7} + 3006023 x^{6} - 1017019 x^{5} + 371579 x^{4} + 110469 x^{3} + 58034 x^{2} + 7047 x + 841$ |
$22$ |
[0,11] |
$-\,3^{11}\cdot 67^{20}$ |
$2$ |
$79.1823943179$ |
$79.18239431794107$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[23, 253]$ |
$6$ |
$10$ |
$338444542.043$ |
| 22.22.601...421.1 |
$x^{22} - 9 x^{21} - 40 x^{20} + 537 x^{19} + 295 x^{18} - 13162 x^{17} + 9563 x^{16} + 170660 x^{15} - 231298 x^{14} - 1254848 x^{13} + 2189761 x^{12} + 5193994 x^{11} - 10720346 x^{10} - 11165111 x^{9} + 27735943 x^{8} + 9739465 x^{7} - 35394797 x^{6} + 189445 x^{5} + 19032841 x^{4} - 2534661 x^{3} - 3171418 x^{2} + 176355 x + 33811$ |
$22$ |
[22,0] |
$3^{11}\cdot 7^{11}\cdot 23^{20}$ |
$3$ |
$79.2581705662$ |
$79.2581705661848$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$60706240430800$ |
| 22.0.135...359.1 |
$x^{22} - x^{21} + 93 x^{20} - 93 x^{19} + 3773 x^{18} - 3773 x^{17} + 87677 x^{16} - 87677 x^{15} + 1288829 x^{14} - 1288829 x^{13} + 12499581 x^{12} - 12499581 x^{11} + 81083005 x^{10} - 81083005 x^{9} + 350517885 x^{8} - 350517885 x^{7} + 997161597 x^{6} - 997161597 x^{5} + 1859353213 x^{4} - 1859353213 x^{3} + 2389932669 x^{2} - 2389932669 x + 2486401661$ |
$22$ |
[0,11] |
$-\,17^{11}\cdot 23^{21}$ |
$2$ |
$82.2347879494$ |
$82.23478794939922$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[23, 28658]$ |
$2$ |
$10$ |
$1038656.82438$ |
| 22.0.261...824.1 |
$x^{22} - 2 x^{21} + 47 x^{20} - 82 x^{19} + 1234 x^{18} - 1928 x^{17} + 22201 x^{16} - 30962 x^{15} + 297640 x^{14} - 368132 x^{13} + 3078660 x^{12} - 3330816 x^{11} + 24869896 x^{10} - 23035280 x^{9} + 156123875 x^{8} - 119632870 x^{7} + 744424991 x^{6} - 445564762 x^{5} + 2565595585 x^{4} - 1074775766 x^{3} + 5757368622 x^{2} - 1278298632 x + 6391493137$ |
$22$ |
[0,11] |
$-\,2^{33}\cdot 3^{11}\cdot 23^{20}$ |
$3$ |
$84.7305483889$ |
$84.73054838890124$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[495926]$ |
$2$ |
$10$ |
$1038656.82438$ |
| 22.22.261...824.1 |
$x^{22} - 2 x^{21} - 85 x^{20} + 158 x^{19} + 3034 x^{18} - 5168 x^{17} - 59231 x^{16} + 90766 x^{15} + 691144 x^{14} - 929756 x^{13} - 4958124 x^{12} + 5663424 x^{11} + 21755176 x^{10} - 20144336 x^{9} - 56643133 x^{8} + 39793946 x^{7} + 82921103 x^{6} - 40082434 x^{5} - 62983979 x^{4} + 17930170 x^{3} + 21937542 x^{2} - 2672256 x - 2672279$ |
$22$ |
[22,0] |
$2^{33}\cdot 3^{11}\cdot 23^{20}$ |
$3$ |
$84.7305483889$ |
$84.73054838890124$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$152044041063000$ |
| 22.22.459...437.1 |
$x^{22} - x^{21} - 114 x^{20} + 114 x^{19} + 5636 x^{18} - 5636 x^{17} - 158239 x^{16} + 158239 x^{15} + 2774261 x^{14} - 2774261 x^{13} - 31438239 x^{12} + 31438239 x^{11} + 230186761 x^{10} - 230186761 x^{9} - 1054578864 x^{8} + 1054578864 x^{7} + 2799718011 x^{6} - 2799718011 x^{5} - 3624110114 x^{4} + 3624110114 x^{3} + 1317296136 x^{2} - 1317296136 x + 194249261$ |
$22$ |
[22,0] |
$19^{11}\cdot 23^{21}$ |
$2$ |
$86.9376540072$ |
$86.93765400716107$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$205240201072000$ |
| 22.0.497...411.1 |
$x^{22} - 11 x^{19} + 33 x^{18} + 462 x^{17} + 583 x^{16} + 1023 x^{15} + 5214 x^{14} + 8239 x^{13} + 31647 x^{12} - 7140 x^{11} + 18271 x^{10} + 320529 x^{9} - 276177 x^{8} - 359084 x^{7} + 861894 x^{6} - 236907 x^{5} - 210870 x^{4} - 339471 x^{3} + 277992 x^{2} - 96228 x + 177147$ |
$22$ |
[0,11] |
$-\,11^{41}$ |
$1$ |
$87.252378947$ |
$87.25237894697881$ |
✓ |
✓ |
|
$C_{22}$ (as 22T1) |
$[23651]$ |
$2$ |
$10$ |
$285114946276$ |
| 22.22.808...000.1 |
$x^{22} - 115 x^{20} + 5750 x^{18} - 163875 x^{16} + 2932500 x^{14} - 34212500 x^{12} + 261625000 x^{10} - 1284765625 x^{8} + 3854296875 x^{6} - 6423828125 x^{4} + 4941406250 x^{2} - 1123046875$ |
$22$ |
[22,0] |
$2^{22}\cdot 5^{11}\cdot 23^{21}$ |
$3$ |
$89.1961509924$ |
$89.19615099241642$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
$[2]$ |
$2$ |
$21$ |
$118027318878000$ |
| 22.0.138...683.1 |
$x^{22} - x^{21} + 116 x^{20} - 116 x^{19} + 5866 x^{18} - 5866 x^{17} + 169741 x^{16} - 169741 x^{15} + 3102241 x^{14} - 3102241 x^{13} + 37314741 x^{12} - 37314741 x^{11} + 298939741 x^{10} - 298939741 x^{9} + 1583705366 x^{8} - 1583705366 x^{7} + 5438002241 x^{6} - 5438002241 x^{5} + 11861830366 x^{4} - 11861830366 x^{3} + 16803236616 x^{2} - 16803236616 x + 17926283491$ |
$22$ |
[0,11] |
$-\,3^{11}\cdot 7^{11}\cdot 23^{21}$ |
$3$ |
$91.3988567732$ |
$91.39885677323893$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[2, 1433434]$ |
$2$ |
$10$ |
$1038656.82438$ |
| 22.0.139...704.1 |
$x^{22} + 61 x^{20} + 1466 x^{18} + 18767 x^{16} + 142812 x^{14} + 672568 x^{12} + 1953909 x^{10} + 3334358 x^{8} + 2944762 x^{6} + 969293 x^{4} + 57019 x^{2} + 841$ |
$22$ |
[0,11] |
$-\,2^{22}\cdot 67^{20}$ |
$2$ |
$91.4319533491$ |
$91.43195334908474$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[36961]$ |
$4$ |
$10$ |
$338444542.043$ |
| 22.22.142...272.1 |
$x^{22} - 2 x^{21} - 96 x^{20} + 178 x^{19} + 3899 x^{18} - 6608 x^{17} - 87467 x^{16} + 133046 x^{15} + 1188426 x^{14} - 1584074 x^{13} - 10109060 x^{12} + 11435962 x^{11} + 53939118 x^{10} - 49578134 x^{9} - 176910567 x^{8} + 124307164 x^{7} + 342485752 x^{6} - 168333340 x^{5} - 366604062 x^{4} + 109236440 x^{3} + 193879860 x^{2} - 25736464 x - 38604719$ |
$22$ |
[22,0] |
$2^{22}\cdot 7^{11}\cdot 23^{20}$ |
$3$ |
$91.5194522237$ |
$91.51945222372814$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$393171463879000$ |
| 22.22.209...629.1 |
$x^{22} - 9 x^{21} - 62 x^{20} + 717 x^{19} + 1305 x^{18} - 24022 x^{17} - 4969 x^{16} + 440652 x^{15} - 232734 x^{14} - 4834612 x^{13} + 4332757 x^{12} + 32637502 x^{11} - 34619686 x^{10} - 135174899 x^{9} + 145940517 x^{8} + 335982569 x^{7} - 323131047 x^{6} - 485055359 x^{5} + 334596715 x^{4} + 386471695 x^{3} - 104865816 x^{2} - 138936109 x - 24468919$ |
$22$ |
[22,0] |
$23^{20}\cdot 29^{11}$ |
$2$ |
$93.1393912992$ |
$93.13939129924077$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$269532187377000$ |
| 22.22.394...249.1 |
$x^{22} - x^{21} - 65 x^{20} - 27 x^{19} + 1709 x^{18} + 2739 x^{17} - 21240 x^{16} - 58584 x^{15} + 107774 x^{14} + 530058 x^{13} + 63350 x^{12} - 2109350 x^{11} - 2370346 x^{10} + 3053082 x^{9} + 7232279 x^{8} + 1113268 x^{7} - 7233811 x^{6} - 5207551 x^{5} + 1572041 x^{4} + 2696745 x^{3} + 394142 x^{2} - 391563 x - 116981$ |
$22$ |
[22,0] |
$3^{11}\cdot 67^{21}$ |
$2$ |
$95.8588092539$ |
$95.85880925393877$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$649525406371000$ |
| 22.0.436...031.1 |
$x^{22} - 9 x^{21} + 103 x^{20} - 633 x^{19} + 4455 x^{18} - 21547 x^{17} + 115721 x^{16} - 463428 x^{15} + 2047836 x^{14} - 6940762 x^{13} + 26133577 x^{12} - 75415028 x^{11} + 246269894 x^{10} - 601120919 x^{9} + 1716577617 x^{8} - 3469345651 x^{7} + 8681282523 x^{6} - 13884271574 x^{5} + 30359360950 x^{4} - 34852602875 x^{3} + 66136100859 x^{2} - 41797446694 x + 68117781041$ |
$22$ |
[0,11] |
$-\,23^{20}\cdot 31^{11}$ |
$2$ |
$96.2975511844$ |
$96.29755118442394$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[3128667]$ |
$2$ |
$10$ |
$1038656.82438$ |
| 22.0.600...952.1 |
$x^{22} + 138 x^{20} + 8280 x^{18} + 283176 x^{16} + 6080832 x^{14} + 85131648 x^{12} + 781208064 x^{10} + 4603547520 x^{8} + 16572771072 x^{6} + 33145542144 x^{4} + 30595885056 x^{2} + 8344332288$ |
$22$ |
[0,11] |
$-\,2^{33}\cdot 3^{11}\cdot 23^{21}$ |
$3$ |
$97.7094878824$ |
$97.70948788236656$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[2, 3189916]$ |
$2$ |
$10$ |
$1038656.82438$ |
| 22.22.600...952.1 |
$x^{22} - 138 x^{20} + 8280 x^{18} - 283176 x^{16} + 6080832 x^{14} - 85131648 x^{12} + 781208064 x^{10} - 4603547520 x^{8} + 16572771072 x^{6} - 33145542144 x^{4} + 30595885056 x^{2} - 8344332288$ |
$22$ |
[22,0] |
$2^{33}\cdot 3^{11}\cdot 23^{21}$ |
$3$ |
$97.7094878824$ |
$97.70948788236656$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
$[2]$ |
$2$ |
$21$ |
$226492733704000$ |
| 22.22.867...217.1 |
$x^{22} - 9 x^{21} - 73 x^{20} + 807 x^{19} + 1975 x^{18} - 30667 x^{17} - 19975 x^{16} + 644732 x^{15} - 103492 x^{14} - 8223098 x^{13} + 4607977 x^{12} + 65804524 x^{11} - 48200954 x^{10} - 331663703 x^{9} + 247797313 x^{8} + 1036117069 x^{7} - 652601717 x^{6} - 1936994870 x^{5} + 759946006 x^{4} + 2008563717 x^{3} - 128681365 x^{2} - 908178246 x - 257391023$ |
$22$ |
[22,0] |
$3^{11}\cdot 11^{11}\cdot 23^{20}$ |
$3$ |
$99.3553748754$ |
$99.35537487544602$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$498239383130000$ |
| 22.22.162...125.1 |
$x^{22} - 9 x^{21} - 36 x^{20} + 429 x^{19} + 561 x^{18} - 8496 x^{17} - 6139 x^{16} + 89196 x^{15} + 57905 x^{14} - 526311 x^{13} - 390451 x^{12} + 1730819 x^{11} + 1575659 x^{10} - 2917939 x^{9} - 3465949 x^{8} + 1790924 x^{7} + 3593930 x^{6} + 695789 x^{5} - 1086909 x^{4} - 737116 x^{3} - 188316 x^{2} - 20940 x - 841$ |
$22$ |
[22,0] |
$5^{11}\cdot 67^{20}$ |
$2$ |
$102.224031502$ |
$102.22403150207153$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$1590137231203360.8$ |
| 22.0.165...875.1 |
$x^{22} - 9 x^{21} + 114 x^{20} - 723 x^{19} + 5545 x^{18} - 27862 x^{17} + 161687 x^{16} - 673652 x^{15} + 3199234 x^{14} - 11272660 x^{13} + 45446261 x^{12} - 136089890 x^{11} + 474573050 x^{10} - 1198919315 x^{9} + 3649189205 x^{8} - 7608385175 x^{7} + 20266939465 x^{6} - 33305104255 x^{5} + 77468338075 x^{4} - 90946009745 x^{3} + 183517941560 x^{2} - 117944870669 x + 204320499769$ |
$22$ |
[0,11] |
$-\,5^{11}\cdot 7^{11}\cdot 23^{20}$ |
$3$ |
$102.321858218$ |
$102.3218582179002$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[6263182]$ |
$2$ |
$10$ |
$1038656.8243805699$ |
| 22.0.172...547.1 |
$x^{22} - x^{21} + 41 x^{20} + 2 x^{19} + 1137 x^{18} + 120 x^{17} + 15187 x^{16} + 4521 x^{15} + 143572 x^{14} + 41908 x^{13} + 810728 x^{12} + 310631 x^{11} + 3278352 x^{10} + 1130011 x^{9} + 7018057 x^{8} + 3087160 x^{7} + 10139143 x^{6} + 2471155 x^{5} + 430399 x^{4} + 38213 x^{3} + 2468 x^{2} + 57 x + 1$ |
$22$ |
[0,11] |
$-\,3^{11}\cdot 89^{20}$ |
$2$ |
$102.502241053$ |
$102.50224105312361$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
$[26687]$ |
$6$ |
$10$ |
$866679281.3791491$ |
| 22.22.305...013.1 |
$x^{22} - 9 x^{21} - 84 x^{20} + 897 x^{19} + 2755 x^{18} - 38122 x^{17} - 41461 x^{16} + 903508 x^{15} + 173110 x^{14} - 13126552 x^{13} + 3288569 x^{12} + 121271266 x^{11} - 53972002 x^{10} - 717482927 x^{9} + 340654907 x^{8} + 2680513897 x^{7} - 1010896265 x^{6} - 6090097243 x^{5} + 1071244813 x^{4} + 7718191075 x^{3} + 746605202 x^{2} - 4228140005 x - 1647782009$ |
$22$ |
[22,0] |
$23^{20}\cdot 37^{11}$ |
$2$ |
$105.204728134$ |
$105.20472813370952$ |
|
✓ |
? |
$C_{22}$ (as 22T1) |
trivial |
$2$ |
$21$ |
$1888088815265438.8$ |
| 22.0.327...256.1 |
$x^{22} + 161 x^{20} + 11270 x^{18} + 449673 x^{16} + 11265492 x^{14} + 184003036 x^{12} + 1969914856 x^{10} + 13543164635 x^{8} + 56881291467 x^{6} + 132723013423 x^{4} + 142932475994 x^{2} + 45478515089$ |
$22$ |
[0,11] |
$-\,2^{22}\cdot 7^{11}\cdot 23^{21}$ |
$3$ |
$105.538309123$ |
$105.5383091233071$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
not computed |
$2$ |
$10$ |
|
| 22.0.481...467.1 |
$x^{22} - x^{21} + 162 x^{20} - 162 x^{19} + 11432 x^{18} - 11432 x^{17} + 461105 x^{16} - 461105 x^{15} + 11726597 x^{14} - 11726597 x^{13} + 195729633 x^{12} - 195729633 x^{11} + 2165644489 x^{10} - 2165644489 x^{9} + 15708809124 x^{8} - 15708809124 x^{7} + 72590100591 x^{6} - 72590100591 x^{5} + 205313114014 x^{4} - 205313114014 x^{3} + 348245590008 x^{2} - 348245590008 x + 393724105097$ |
$22$ |
[0,11] |
$-\,23^{21}\cdot 29^{11}$ |
$2$ |
$107.406388824$ |
$107.40638882394205$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
not computed |
$2$ |
$10$ |
|
| 22.0.544...239.1 |
$x^{22} - 9 x^{21} + 125 x^{20} - 813 x^{19} + 6745 x^{18} - 34987 x^{17} + 218003 x^{16} - 939340 x^{15} + 4767272 x^{14} - 17367998 x^{13} + 74585461 x^{12} - 230625416 x^{11} + 854744494 x^{10} - 2225080031 x^{9} + 7186857343 x^{8} - 15398214635 x^{7} + 43486274233 x^{6} - 73186706990 x^{5} + 180412985566 x^{4} - 216014851131 x^{3} + 461997703697 x^{2} - 301326000030 x + 553445530681$ |
$22$ |
[0,11] |
$-\,3^{11}\cdot 13^{11}\cdot 23^{20}$ |
$3$ |
$108.010679908$ |
$108.01067990810628$ |
✓ |
✓ |
? |
$C_{22}$ (as 22T1) |
not computed |
$2$ |
$10$ |
|
