| 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 |
| 33.11.163...327.1 |
$x^{33} - 3 x^{32} - 3 x^{31} + 28 x^{30} - 58 x^{29} + 22 x^{28} + 191 x^{27} - 526 x^{26} + 330 x^{25} + 728 x^{24} - 1012 x^{23} + 413 x^{22} - 2524 x^{21} + 3437 x^{20} + 6311 x^{19} - 13555 x^{18} - 573 x^{17} + 14501 x^{16} - 6805 x^{15} - 2479 x^{14} + 5007 x^{13} - 7594 x^{12} - 344 x^{11} + 8602 x^{10} - 626 x^{9} - 5041 x^{8} + 15 x^{7} + 1789 x^{6} + 121 x^{5} - 352 x^{4} - 33 x^{3} + 32 x^{2} + 2 x - 1$ |
$33$ |
[11,11] |
$-\,23^{31}$ |
$1$ |
$19.01949039124947$ |
$19.944865695037844$ |
|
|
? |
$S_3\times C_{11}$ (as 33T2) |
trivial |
trivial |
$2$ |
$21$ |
$255776199.8931762$ |
| 33.1.109...536.1 |
$x^{33} - 6 x^{22} + 14 x^{11} + 2$ |
$33$ |
[1,16] |
$2^{32}\cdot 11^{34}$ |
$2$ |
$23.16636602444746$ |
$26.212317260824566$ |
|
|
? |
$C_{33}:C_{10}$ (as 33T9) |
trivial |
trivial |
$2$ |
$16$ |
$3079675685.026646$ |
| 33.1.127...537.1 |
$x^{33} - x - 1$ |
$33$ |
[1,16] |
$461\cdot 37057\cdot 74\!\cdots\!81$ |
$3$ |
$32.9886175927$ |
$1.1298165269212083e+25$ |
|
|
✓ |
$S_{33}$ (as 33T162) |
trivial |
trivial |
$2$ |
$16$ |
$477092908754.3794$ |
| 33.1.130...489.1 |
$x^{33} + x - 1$ |
$33$ |
[1,16] |
$17\cdot 43\cdot 1579\cdot 2609\cdot 13153817\cdot 216865282965193\cdot 15199633537674804809$ |
$7$ |
$33.0112581443$ |
$1.1426790526000376e+25$ |
|
|
✓ |
$S_{33}$ (as 33T162) |
trivial |
trivial |
$2$ |
$16$ |
$794597544869.8735$ |
| 33.1.628...104.1 |
$x^{33} - 16 x^{32} + 108 x^{31} - 396 x^{30} + 980 x^{29} - 3000 x^{28} + 12404 x^{27} - 35920 x^{26} + 52252 x^{25} - 12200 x^{24} - 56484 x^{23} + 54996 x^{22} - 56164 x^{21} + 101320 x^{20} + 90972 x^{19} - 226860 x^{18} - 92456 x^{17} - 106536 x^{16} + 299784 x^{15} + 681744 x^{14} - 308904 x^{13} - 863008 x^{12} - 67040 x^{11} + 431272 x^{10} + 192632 x^{9} - 9696 x^{8} - 1416 x^{7} - 2888 x^{6} - 6600 x^{5} + 2800 x^{4} + 696 x^{3} - 632 x^{2} + 68 x - 16$ |
$33$ |
[1,16] |
$2^{62}\cdot 157^{16}$ |
$2$ |
$42.68252725847884$ |
|
|
|
? |
$\PSL(2,32)$ (as 33T40) |
$[31]$ |
$[31]$ |
$2$ |
$16$ |
$10574216789545.229$ |
| 33.1.527...744.1 |
$x^{33} - 7 x^{32} + 20 x^{31} + 4 x^{30} - 132 x^{29} + 132 x^{28} + 1056 x^{27} - 2464 x^{26} - 1276 x^{25} + 14608 x^{24} - 17512 x^{23} - 12100 x^{22} + 90024 x^{21} - 102608 x^{20} - 104060 x^{19} + 482064 x^{18} - 177386 x^{17} - 703978 x^{16} + 1731268 x^{15} + 196988 x^{14} - 4514752 x^{13} + 3205048 x^{12} + 7176752 x^{11} - 9604496 x^{10} - 5377240 x^{9} + 16445836 x^{8} + 468512 x^{7} - 17393508 x^{6} + 995588 x^{5} + 9545932 x^{4} - 292820 x^{3} - 2225432 x^{2} + 102487 x + 219615$ |
$33$ |
[1,16] |
$2^{78}\cdot 11^{30}$ |
$2$ |
$45.524592514964674$ |
|
|
|
? |
$\SL(2,32).C_5$ (as 33T55) |
trivial |
trivial |
$2$ |
$16$ |
$928667794007647.0$ |
| 33.1.446...536.1 |
$x^{33} - 14 x^{32} + 76 x^{31} - 188 x^{30} + 228 x^{29} - 880 x^{28} + 5448 x^{27} - 14948 x^{26} + 15852 x^{25} + 1400 x^{24} + 14256 x^{23} - 138368 x^{22} + 316292 x^{21} - 394608 x^{20} + 353808 x^{19} - 282096 x^{18} + 245952 x^{17} - 409616 x^{16} + 844992 x^{15} - 1199136 x^{14} + 1108328 x^{13} - 604376 x^{12} - 21912 x^{11} + 214984 x^{10} + 359152 x^{9} - 1111344 x^{8} + 1340952 x^{7} - 1072256 x^{6} + 569976 x^{5} - 157192 x^{4} + 55256 x^{3} - 31512 x^{2} - 6646 x + 8500$ |
$33$ |
[1,16] |
$2^{88}\cdot 11^{28}$ |
$2$ |
$48.56826279671521$ |
|
|
|
? |
$\SL(2,32).C_5$ (as 33T55) |
trivial |
trivial |
$2$ |
$16$ |
$2362016157473147.0$ |
| 33.1.630...000.1 |
$x^{33} - 4 x^{32} + 24 x^{31} - 74 x^{30} + 240 x^{29} - 668 x^{28} + 1792 x^{27} - 5102 x^{26} + 12292 x^{25} - 27680 x^{24} + 54944 x^{23} - 73486 x^{22} + 120356 x^{21} - 57876 x^{20} + 125400 x^{19} - 233210 x^{18} + 651690 x^{17} - 2523680 x^{16} + 3996360 x^{15} - 8899870 x^{14} + 10217048 x^{13} - 12847532 x^{12} + 9641072 x^{11} + 1365718 x^{10} - 4283380 x^{9} + 28706168 x^{8} - 12963392 x^{7} + 36824342 x^{6} - 2706412 x^{5} + 18089820 x^{4} + 5173176 x^{3} + 709106 x^{2} + 225989 x + 162476$ |
$33$ |
[1,16] |
$2^{36}\cdot 5^{30}\cdot 11^{24}$ |
$3$ |
$52.6259724300927$ |
|
|
|
? |
$\SL(2,32).C_5$ (as 33T55) |
trivial |
trivial |
$2$ |
$16$ |
$6238906050834925.0$ |
| 33.1.125...305.1 |
$x^{33} + 2 x - 1$ |
$33$ |
[1,16] |
$5\cdot 25\!\cdots\!61$ |
$2$ |
$57.6194845298$ |
$1.1204554252572212e+29$ |
|
|
✓ |
$S_{33}$ (as 33T162) |
trivial |
trivial |
$2$ |
$16$ |
$12254017574219786$ |
| 33.33.271...161.1 |
$x^{33} - x^{32} - 32 x^{31} + 31 x^{30} + 465 x^{29} - 435 x^{28} - 4060 x^{27} + 3654 x^{26} + 23751 x^{25} - 20475 x^{24} - 98280 x^{23} + 80730 x^{22} + 296010 x^{21} - 230230 x^{20} - 657800 x^{19} + 480700 x^{18} + 1081575 x^{17} - 735471 x^{16} - 1307504 x^{15} + 817190 x^{14} + 1144066 x^{13} - 646646 x^{12} - 705432 x^{11} + 352716 x^{10} + 293930 x^{9} - 125970 x^{8} - 77520 x^{7} + 27132 x^{6} + 11628 x^{5} - 3060 x^{4} - 816 x^{3} + 136 x^{2} + 17 x - 1$ |
$33$ |
[33,0] |
$67^{32}$ |
$1$ |
$58.9846766001$ |
$58.98467660010086$ |
|
✓ |
✓ |
$C_{33}$ (as 33T1) |
trivial |
trivial |
$2$ |
$32$ |
$3985748844865106400$ |
| 33.1.364...136.1 |
$x^{33} - 11 x^{32} + 44 x^{31} - 44 x^{30} - 286 x^{29} + 1540 x^{28} - 4378 x^{27} + 9218 x^{26} - 16830 x^{25} + 26928 x^{24} + 11484 x^{23} - 428258 x^{22} + 2189990 x^{21} - 6571510 x^{20} + 12914550 x^{19} - 15234208 x^{18} + 3679544 x^{17} + 21998592 x^{16} - 39431216 x^{15} + 27941452 x^{14} - 26464614 x^{13} + 120234884 x^{12} - 287235918 x^{11} + 218845242 x^{10} + 556241686 x^{9} - 1927977172 x^{8} + 3047053944 x^{7} - 3422603646 x^{6} + 3078272054 x^{5} - 2057595122 x^{4} + 883545498 x^{3} - 217909252 x^{2} + 32575279 x - 3852017$ |
$33$ |
[1,16] |
$2^{32}\cdot 7^{16}\cdot 11^{34}$ |
$3$ |
$59.51170845072199$ |
|
|
|
? |
$\SL(2,32).C_5$ (as 33T55) |
trivial |
trivial |
$2$ |
$16$ |
$53643301774805490$ |
| 33.1.364...136.2 |
$x^{33} - 11 x^{32} + 66 x^{31} - 286 x^{30} + 1056 x^{29} - 3476 x^{28} + 9526 x^{27} - 22088 x^{26} + 47564 x^{25} - 98758 x^{24} + 198484 x^{23} - 435378 x^{22} + 1157904 x^{21} - 2991582 x^{20} + 6597866 x^{19} - 13219470 x^{18} + 22580690 x^{17} - 28917306 x^{16} + 27872900 x^{15} - 15987224 x^{14} - 14604612 x^{13} + 42415318 x^{12} - 30377688 x^{11} - 1791482 x^{10} + 32007690 x^{9} - 56460426 x^{8} - 14108446 x^{7} + 148734608 x^{6} - 102198712 x^{5} - 70950440 x^{4} + 109190444 x^{3} - 73456152 x^{2} + 35134121 x + 7047225$ |
$33$ |
[1,16] |
$2^{32}\cdot 7^{16}\cdot 11^{34}$ |
$3$ |
$59.51170845072199$ |
|
|
|
? |
$\SL(2,32).C_5$ (as 33T55) |
trivial |
trivial |
$2$ |
$16$ |
$99395055916892690$ |
| 33.1.135...753.1 |
$x^{33} - 3$ |
$33$ |
[1,16] |
$3^{65}\cdot 11^{27}$ |
$2$ |
$61.9202712528$ |
$76.6067108653538$ |
|
|
? |
$S_3\times F_{11}$ (as 33T11) |
trivial |
trivial |
$2$ |
$16$ |
$62662652284763790$ |
| 33.33.277...001.1 |
$x^{33} - x^{32} - 52 x^{31} + 47 x^{30} + 1159 x^{29} - 945 x^{28} - 14589 x^{27} + 10741 x^{26} + 115099 x^{25} - 76770 x^{24} - 597580 x^{23} + 362822 x^{22} + 2088771 x^{21} - 1160546 x^{20} - 4956062 x^{19} + 2531215 x^{18} + 7980244 x^{17} - 3753538 x^{16} - 8674935 x^{15} + 3750773 x^{14} + 6304834 x^{13} - 2497276 x^{12} - 3006793 x^{11} + 1087323 x^{10} + 908614 x^{9} - 298518 x^{8} - 163557 x^{7} + 48112 x^{6} + 15777 x^{5} - 3955 x^{4} - 691 x^{3} + 126 x^{2} + 12 x - 1$ |
$33$ |
[33,0] |
$7^{22}\cdot 23^{30}$ |
$2$ |
$63.2897076721$ |
$63.289707672053964$ |
|
✓ |
? |
$C_{33}$ (as 33T1) |
trivial |
trivial |
$2$ |
$32$ |
$15716532070591353000$ |
| 33.1.327...896.1 |
$x^{33} - 13 x^{32} + 42 x^{31} + 220 x^{30} - 2086 x^{29} + 4574 x^{28} + 12368 x^{27} - 88724 x^{26} + 141530 x^{25} + 294230 x^{24} - 1619960 x^{23} + 2168644 x^{22} + 2285584 x^{21} - 9746688 x^{20} - 2601692 x^{19} + 64316304 x^{18} - 146733770 x^{17} + 157696622 x^{16} - 183563592 x^{15} + 765925156 x^{14} - 2422708608 x^{13} + 4338203680 x^{12} - 4146557240 x^{11} + 439792560 x^{10} + 4558700656 x^{9} - 6595813156 x^{8} + 4174849936 x^{7} - 130623668 x^{6} - 2071442644 x^{5} + 1875462272 x^{4} - 865375236 x^{3} + 227016248 x^{2} - 32241754 x + 2250206$ |
$33$ |
[1,16] |
$2^{62}\cdot 23^{30}$ |
$2$ |
$63.60714509267182$ |
|
|
|
? |
$\PSL(2,32)$ (as 33T40) |
$[341]$ |
$[341]$ |
$2$ |
$16$ |
$500152032889968.75$ |
| 33.1.529...264.1 |
$x^{33} - 4 x - 4$ |
$33$ |
[1,16] |
$2^{32}\cdot 677\cdot 4266637\cdot 48046836047629\cdot 888172284811267871458394629$ |
$5$ |
$64.5374805481$ |
$2.1743330241735594e+25$ |
|
|
? |
$S_{33}$ (as 33T162) |
trivial |
trivial |
$2$ |
$16$ |
$80551974751644370$ |
| 33.1.541...056.1 |
$x^{33} - 2 x - 2$ |
$33$ |
[1,16] |
$2^{32}\cdot 17881556731651\cdot 70\!\cdots\!11$ |
$3$ |
$64.5833312616$ |
$2.199962336114909e+25$ |
|
|
✓ |
$S_{33}$ (as 33T162) |
trivial |
trivial |
$2$ |
$16$ |
$88168911953428100$ |
| 33.1.554...872.1 |
$x^{33} - x - 2$ |
$33$ |
[1,16] |
$2^{32}\cdot 31\cdot 491\cdot 35603\cdot 23\!\cdots\!39$ |
$5$ |
$64.6281634182$ |
|
|
|
✓ |
$S_{33}$ (as 33T162) |
trivial |
trivial |
$2$ |
$16$ |
$133008702440587730$ |
| 33.1.554...392.1 |
$x^{33} - x - 4$ |
$33$ |
[1,16] |
$2^{32}\cdot 1621\cdot 3527\cdot 195457\cdot 11716761181\cdot 14330054499223\cdot 688121128326241$ |
$7$ |
$64.6281634182$ |
|
|
|
? |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$16$ |
|
| 33.1.554...848.1 |
$x^{33} - 2$ |
$33$ |
[1,16] |
$2^{32}\cdot 3^{33}\cdot 11^{33}$ |
$3$ |
$64.6281634182$ |
$94.4380214379661$ |
|
|
✓ |
$S_3\times F_{11}$ (as 33T11) |
trivial |
trivial |
$2$ |
$16$ |
$95573511152749460$ |
| 33.1.567...640.1 |
$x^{33} + 2 x - 2$ |
$33$ |
[1,16] |
$2^{32}\cdot 5\cdot 53\cdot 3229\cdot 6433737122028757573993\cdot 23983104676408544038373$ |
$6$ |
$64.6720219514$ |
$2.2503454492475218e+25$ |
|
|
✓ |
$S_{33}$ (as 33T162) |
trivial |
trivial |
$2$ |
$16$ |
$96056886306925100$ |
| 33.1.579...432.1 |
$x^{33} + 4 x - 4$ |
$33$ |
[1,16] |
$2^{32}\cdot 7\cdot 127\cdot 361279\cdot 459803\cdot 149099734067\cdot 6129135169246811499255607$ |
$7$ |
$64.7149488714$ |
$2.275118638942036e+25$ |
|
|
? |
$S_{33}$ (as 33T162) |
trivial |
trivial |
$2$ |
$16$ |
$84037986779048380$ |
| 33.33.700...569.1 |
$x^{33} - 63 x^{31} - 4 x^{30} + 1710 x^{29} + 204 x^{28} - 26254 x^{27} - 4392 x^{26} + 251754 x^{25} + 52248 x^{24} - 1572192 x^{23} - 377544 x^{22} + 6479940 x^{21} + 1717920 x^{20} - 17548167 x^{19} - 4953616 x^{18} + 30725595 x^{17} + 8949468 x^{16} - 34072421 x^{15} - 9933084 x^{14} + 23552382 x^{13} + 6584132 x^{12} - 10086444 x^{11} - 2580438 x^{10} + 2636960 x^{9} + 587106 x^{8} - 404862 x^{7} - 74061 x^{6} + 33768 x^{5} + 4755 x^{4} - 1326 x^{3} - 135 x^{2} + 18 x + 1$ |
$33$ |
[33,0] |
$3^{44}\cdot 23^{30}$ |
$2$ |
$74.8335019768$ |
$74.83350197679573$ |
|
✓ |
? |
$C_{33}$ (as 33T1) |
trivial |
trivial |
$2$ |
$32$ |
$176588774716401650000$ |
| 33.1.174...153.1 |
$x^{33} - x - 3$ |
$33$ |
[1,16] |
$32159\cdot 1547725797949519945333\cdot 35\!\cdots\!99$ |
$3$ |
$76.9368579483$ |
$1.3219601370097703e+31$ |
|
|
? |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$16$ |
|
| 33.3.812...935.1 |
$x^{33} - 3 x - 1$ |
$33$ |
[3,15] |
$-\,3^{33}\cdot 5\cdot 40739\cdot 11781157\cdot 3137660461139\cdot 194099782564469344251877$ |
$6$ |
$86.4292267677$ |
|
|
|
✓ |
$S_{33}$ (as 33T162) |
trivial |
trivial |
$2$ |
$17$ |
$10925780584629996000$ |
| 33.1.812...961.1 |
$x^{33} + 3 x - 1$ |
$33$ |
[1,16] |
$3^{34}\cdot 647\cdot 52009\cdot 14\!\cdots\!03$ |
$4$ |
$86.4292267677$ |
|
|
|
✓ |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$16$ |
|
| 33.1.812...296.1 |
$x^{33} + 3 x - 2$ |
$33$ |
[1,16] |
$2^{32}\cdot 3^{34}\cdot 5273\cdot 13873073\cdot 79403245997\cdot 19528960698348533$ |
$6$ |
$86.4294055199$ |
|
|
|
✓ |
$S_{33}$ (as 33T162) |
trivial |
trivial |
$2$ |
$16$ |
$22262502678802630000$ |
| 33.33.228...681.1 |
$x^{33} - 8 x^{32} - 48 x^{31} + 488 x^{30} + 889 x^{29} - 13082 x^{28} - 6681 x^{27} + 203003 x^{26} - 17780 x^{25} - 2022483 x^{24} + 832653 x^{23} + 13572345 x^{22} - 8326527 x^{21} - 62657637 x^{20} + 47704277 x^{19} + 199663335 x^{18} - 178099102 x^{17} - 433344046 x^{16} + 447058648 x^{15} + 617907878 x^{14} - 750473359 x^{13} - 533823452 x^{12} + 817138243 x^{11} + 221279551 x^{10} - 544192951 x^{9} + 11597098 x^{8} + 199867737 x^{7} - 43176794 x^{6} - 33036600 x^{5} + 11713378 x^{4} + 1505253 x^{3} - 925381 x^{2} + 72350 x + 1013$ |
$33$ |
[33,0] |
$13^{22}\cdot 23^{30}$ |
$2$ |
$95.6232054578$ |
$95.623205457779$ |
|
✓ |
? |
$C_{33}$ (as 33T1) |
trivial |
trivial |
$2$ |
$32$ |
$22765796489209540000000$ |
| 33.1.231...985.1 |
$x^{33} - 3 x - 3$ |
$33$ |
[1,16] |
$3^{33}\cdot 5\cdot 7\cdot 29264269\cdot 40\!\cdots\!33$ |
$5$ |
$95.6582185472$ |
|
|
|
✓ |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$16$ |
|
| 33.1.239...641.1 |
$x^{33} - 2 x - 3$ |
$33$ |
[1,16] |
$131009\cdot 18\!\cdots\!49$ |
$2$ |
$95.7584205303$ |
$4.8912523786029305e+32$ |
|
|
✓ |
$S_{33}$ (as 33T162) |
trivial |
trivial |
$2$ |
$16$ |
$91796156039521290000$ |
| 33.1.239...409.1 |
$x^{33} + x - 3$ |
$33$ |
[1,16] |
$7\cdot 17\cdot 59\cdot 34\!\cdots\!29$ |
$4$ |
$95.7584206826$ |
$4.89125250693615e+32$ |
|
|
✓ |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$16$ |
|
| 33.1.247...881.1 |
$x^{33} + 3 x - 3$ |
$33$ |
[1,16] |
$3^{33}\cdot 251\cdot 6097463\cdot 19738007\cdot 14\!\cdots\!17$ |
$5$ |
$95.8553759516$ |
|
|
|
✓ |
$S_{33}$ (as 33T162) |
trivial |
trivial |
$2$ |
$16$ |
$64586856090532960000$ |
| 33.1.238...848.1 |
$x^{33} + 2 x - 4$ |
$33$ |
[1,16] |
$2^{62}\cdot 7\cdot 13\cdot 131\cdot 331\cdot 373\cdot 16487\cdot 339517\cdot 72016601\cdot 8704317240727202644261$ |
$10$ |
$110.083854703$ |
|
|
|
? |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$16$ |
|
| 33.1.486...440.1 |
$x^{33} - 3 x - 4$ |
$33$ |
[1,16] |
$2^{64}\cdot 3^{33}\cdot 5\cdot 7\cdot 211\cdot 47701\cdot 56203340663\cdot 23939822997841$ |
$8$ |
$112.489395024$ |
|
|
|
? |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$16$ |
|
| 33.3.107...016.1 |
$x^{33} - 4 x - 2$ |
$33$ |
[3,15] |
$-\,2^{32}\cdot 131\cdot 1332938071\cdot 25239878589041\cdot 56\!\cdots\!31$ |
$5$ |
$115.238969006$ |
$3.103254921899214e+29$ |
|
|
✓ |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$17$ |
|
| 33.3.107...351.1 |
$x^{33} - 4 x - 1$ |
$33$ |
[3,15] |
$-\,157\cdot 862680509293\cdot 8877052066229\cdot 395644289235529\cdot 226702188673068757097323811$ |
$5$ |
$115.238969024$ |
$1.0384593717069655e+34$ |
|
|
✓ |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$17$ |
|
| 33.1.107...712.1 |
$x^{33} + 4 x - 2$ |
$33$ |
[1,16] |
$2^{32}\cdot 717559\cdot 45863269\cdot 561933804328655053279\cdot 1357723639278128039889733$ |
$5$ |
$115.238969042$ |
$3.1032549378564737e+29$ |
|
|
✓ |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$16$ |
|
| 33.1.108...297.1 |
$x^{33} + 4 x - 3$ |
$33$ |
[1,16] |
$7\cdot 383\cdot 9151\cdot 44\!\cdots\!87$ |
$4$ |
$115.246707935$ |
$1.0396106491348992e+34$ |
|
|
✓ |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$16$ |
|
| 33.3.177...432.1 |
$x^{33} - 5 x - 2$ |
$33$ |
[3,15] |
$-\,2^{32}\cdot 28938953909\cdot 14\!\cdots\!63$ |
$3$ |
$116.983287009$ |
|
|
|
? |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$17$ |
|
| 33.1.595...304.1 |
$x^{33} - 2 x - 4$ |
$33$ |
[1,16] |
$2^{62}\cdot 41\cdot 5227\cdot 495043\cdot 2489722643\cdot 103976867383\cdot 4701030158746705429$ |
$7$ |
$121.362760665$ |
|
|
|
? |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$16$ |
|
| 33.33.964...489.1 |
$x^{33} - 8 x^{32} - 70 x^{31} + 734 x^{30} + 1439 x^{29} - 27994 x^{28} + 11289 x^{27} + 571079 x^{26} - 1005928 x^{25} - 6614661 x^{24} + 19440415 x^{23} + 40980613 x^{22} - 194665653 x^{21} - 82258867 x^{20} + 1125872365 x^{19} - 536982871 x^{18} - 3781576926 x^{17} + 4155619240 x^{16} + 6998281772 x^{15} - 12201861484 x^{14} - 5994133153 x^{13} + 18812121252 x^{12} + 75160599 x^{11} - 16337602363 x^{10} + 3902636199 x^{9} + 8090155706 x^{8} - 3031301627 x^{7} - 2187750082 x^{6} + 1012187926 x^{5} + 277584302 x^{4} - 153651191 x^{3} - 8485173 x^{2} + 8057502 x - 470213$ |
$33$ |
[33,0] |
$19^{22}\cdot 23^{30}$ |
$2$ |
$123.150675121$ |
$123.1506751207494$ |
|
✓ |
? |
$C_{33}$ (as 33T1) |
trivial |
trivial |
$2$ |
$32$ |
$859641744829651100000000$ |
| 33.1.102...432.1 |
$x^{33} + 5 x - 4$ |
$33$ |
[1,16] |
$2^{64}\cdot 163\cdot 181\cdot 50551\cdot 28444257707\cdot 13\!\cdots\!87$ |
$6$ |
$123.361773147$ |
|
|
|
? |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$16$ |
|
| 33.1.238...984.1 |
$x^{33} + x - 4$ |
$33$ |
[1,16] |
$2^{64}\cdot 7\cdot 17\cdot 19\cdot 157\cdot 33211\cdot 277757\cdot 4264681\cdot 80479969\cdot 114878428009485623479$ |
$10$ |
$126.569682025$ |
|
|
|
✓ |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$16$ |
|
| 33.1.425...712.1 |
$x^{33} + 5 x - 2$ |
$33$ |
[1,16] |
$2^{30}\cdot 41\cdot 179\cdot 1579\cdot 2236133\cdot 39308148498265324319\cdot 38891111153367554795380843499$ |
$7$ |
$138.122724111$ |
$1.2309605779465077e+31$ |
|
|
|
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$16$ |
|
| 33.3.170...487.1 |
$x^{33} - 5 x - 1$ |
$33$ |
[3,15] |
$-\,40857347\cdot 123238837\cdot 33\!\cdots\!33$ |
$3$ |
$144.04871128$ |
$4.124817371235595e+35$ |
|
|
✓ |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$17$ |
|
| 33.1.170...513.1 |
$x^{33} + 5 x - 1$ |
$33$ |
[1,16] |
$59\cdot 107\cdot 113\cdot 167\cdot 9170594383\cdot 510233763264227\cdot 1295992890923813\cdot 235510051675084013415407$ |
$8$ |
$144.04871128$ |
$4.124817371235595e+35$ |
|
|
✓ |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$16$ |
|
| 33.1.170...433.1 |
$x^{33} + 5 x - 3$ |
$33$ |
[1,16] |
$1297\cdot 12431057\cdot 17435333\cdot 170510057517160450557111079\cdot 3549619313840451585263090411$ |
$5$ |
$144.048717417$ |
$4.124820271284315e+35$ |
|
|
✓ |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$16$ |
|
| 33.1.334...897.1 |
$x^{33} + 3 x - 5$ |
$33$ |
[1,16] |
$3^{33}\cdot 37\cdot 643\cdot 390353972345549\cdot 2624049677604259\cdot 2465544740666077701019$ |
$6$ |
$147.023445198$ |
|
|
|
? |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$16$ |
|
| 33.1.283...625.1 |
$x^{33} - 5 x - 5$ |
$33$ |
[1,16] |
$5^{32}\cdot 20333\cdot 35554829\cdot 26184343821271\cdot 6434496458277638628370639$ |
$5$ |
$156.86868509$ |
$5.255538877915379e+25$ |
|
|
✓ |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$16$ |
|
| 33.1.300...177.1 |
$x^{33} - 3 x - 5$ |
$33$ |
[1,16] |
$3^{33}\cdot 79\cdot 263\cdot 465137788789\cdot 55\!\cdots\!83$ |
$5$ |
$157.145892898$ |
|
|
|
✓ |
$S_{33}$ (as 33T162) |
not computed |
not computed |
$2$ |
$16$ |
|
