| 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 |
| 23.1.205...983.1 |
$x^{23} - x - 1$ |
$23$ |
[1,11] |
$-\,29\cdot 53264767\cdot 13296646221023838475181$ |
$3$ |
$22.9835192023$ |
$4532001778737922.0$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$2560615.38998$ |
| 23.3.121...973.1 |
$x^{23} - 3 x^{21} - 6 x^{20} + x^{19} + 17 x^{18} + 18 x^{17} - 10 x^{16} - 43 x^{15} - 25 x^{14} + 33 x^{13} + 60 x^{12} + 11 x^{11} - 54 x^{10} - 47 x^{9} + 12 x^{8} + 44 x^{7} + 15 x^{6} - 17 x^{5} - 16 x^{4} + 6 x^{2} + x - 1$ |
$23$ |
[3,10] |
$7\cdot 41\cdot 599\cdot 7069315563547560848845133621$ |
$4$ |
$27.445087043$ |
$3.4861257098334132e+16$ |
|
|
? |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$12$ |
$53774282.4892$ |
| 23.7.484...792.1 |
$x^{23} - 3 x^{21} - 6 x^{20} + x^{19} + 17 x^{18} + 18 x^{17} - 10 x^{16} - 43 x^{15} - 25 x^{14} + 33 x^{13} + 60 x^{12} + 11 x^{11} - 54 x^{10} - 48 x^{9} + 12 x^{8} + 44 x^{7} + 17 x^{6} - 17 x^{5} - 16 x^{4} + 6 x^{2} + x - 1$ |
$23$ |
[7,8] |
$2^{3}\cdot 3^{2}\cdot 4231\cdot 4210631\cdot 3775042239237949162501$ |
$5$ |
$29.1452075964$ |
$4.017553168705311e+16$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$14$ |
$179256140.602$ |
| 23.3.961...453.1 |
$x^{23} - x^{22} - x^{21} - x^{20} + x^{19} + 8 x^{18} - 3 x^{17} - 9 x^{16} - 6 x^{15} + 5 x^{14} + 23 x^{13} - x^{12} - 23 x^{11} - 13 x^{10} + 12 x^{9} + 27 x^{8} - 3 x^{7} - 20 x^{6} - 6 x^{5} + 9 x^{4} + 7 x^{3} - 4 x^{2} - 2 x + 1$ |
$23$ |
[3,10] |
$19\cdot 28201\cdot 55057\cdot 3258654194756619414566191$ |
$4$ |
$33.1890102516$ |
$3.1005194813504915e+17$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$12$ |
$177401273.772$ |
| 23.1.100...339.1 |
$x^{23} - 3 x^{21} - 6 x^{20} + x^{19} + 17 x^{18} + 18 x^{17} - 10 x^{16} - 43 x^{15} - 25 x^{14} + 33 x^{13} + 60 x^{12} + 11 x^{11} - 54 x^{10} - 47 x^{9} + 12 x^{8} + 46 x^{7} + 17 x^{6} - 17 x^{5} - 16 x^{4} + 6 x^{2} + x - 1$ |
$23$ |
[1,11] |
$-\,167\cdot 30727\cdot 499717\cdot 39149185505838967853863$ |
$4$ |
$33.2515830019$ |
$3.168412684878976e+17$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$139979317.774$ |
| 23.1.459...108.1 |
$x^{23} - 2 x^{22} - x^{21} + 5 x^{20} - x^{19} - 4 x^{18} + 6 x^{15} + 6 x^{14} - 17 x^{13} - 10 x^{12} + 31 x^{11} + 5 x^{10} - 32 x^{9} + 25 x^{7} - 17 x^{5} + 2 x^{4} + 9 x^{3} - 3 x^{2} - 2 x + 1$ |
$23$ |
[1,11] |
$-\,2^{2}\cdot 1021\cdot 425123\cdot 264472629367076822658099919$ |
$4$ |
$35.5239226707$ |
|
|
|
? |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$583250036.6$ |
| 23.5.137...908.1 |
$x^{23} - 3 x^{21} - 6 x^{20} + x^{19} + 17 x^{18} + 18 x^{17} - 10 x^{16} - 43 x^{15} - 25 x^{14} + 33 x^{13} + 60 x^{12} + 11 x^{11} - 54 x^{10} - 47 x^{9} + 12 x^{8} + 43 x^{7} + 17 x^{6} - 17 x^{5} - 16 x^{4} + 6 x^{2} + x - 1$ |
$23$ |
[5,9] |
$-\,2^{2}\cdot 641\cdot 31357146703\cdot 17127956171402395614949$ |
$4$ |
$37.2613971261$ |
$9.314010408753599e+17$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$13$ |
$3910844212.61$ |
| 23.1.167...576.1 |
$x^{23} - 4 x - 4$ |
$23$ |
[1,11] |
$-\,2^{22}\cdot 8623\cdot 10045730659\cdot 4597557191821267$ |
$4$ |
$37.5755650454$ |
$1224687438025823.0$ |
|
|
? |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$1131394806.61$ |
| 23.5.250...508.1 |
$x^{23} - 3 x^{21} - 6 x^{20} + x^{19} + 17 x^{18} + 18 x^{17} - 10 x^{16} - 43 x^{15} - 25 x^{14} + 33 x^{13} + 60 x^{12} + 10 x^{11} - 54 x^{10} - 47 x^{9} + 12 x^{8} + 44 x^{7} + 17 x^{6} - 17 x^{5} - 16 x^{4} + 6 x^{2} + x - 1$ |
$23$ |
[5,9] |
$-\,2^{2}\cdot 1307\cdot 1787\cdot 28687\cdot 512717\cdot 18216368638827725857$ |
$6$ |
$38.2421954608$ |
$1.2557380744871542e+18$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$13$ |
$3444212420.75$ |
| 23.1.286...639.1 |
$x^{23} + 2 x - 1$ |
$23$ |
[1,11] |
$-\,127\cdot 5892521806212607\cdot 3827252586261454951$ |
$3$ |
$38.4668488198$ |
$1.6923727437974505e+18$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$1296440588.69$ |
| 23.1.103...168.1 |
$x^{23} + 4 x - 4$ |
$23$ |
[1,11] |
$-\,2^{22}\cdot 127\cdot 121259\cdot 78283735681\cdot 2050329605299$ |
$5$ |
$40.6796380099$ |
$3051042090149834.0$ |
|
|
? |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$3908153739.94$ |
| 23.1.761...080.1 |
$x^{23} - 8 x - 8$ |
$23$ |
[1,11] |
$-\,2^{22}\cdot 3\cdot 5\cdot 557\cdot 2100359171059\cdot 1034221960670111$ |
$6$ |
$44.363145749$ |
$8267393774442177.0$ |
|
|
? |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$16501892392.2$ |
| 23.1.847...296.1 |
$x^{23} - 2 x - 2$ |
$23$ |
[1,11] |
$-\,2^{22}\cdot 3\cdot 5519\cdot 1219883568588480577372817507$ |
$4$ |
$44.5699078639$ |
$8721511346792999.0$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$12211948562.3$ |
| 23.1.875...784.1 |
$x^{23} - x - 2$ |
$23$ |
[1,11] |
$-\,2^{23}\cdot 7\cdot 24177221\cdot 78687506363\cdot 783971054543$ |
$5$ |
$44.6343866189$ |
|
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$17404788077.7$ |
| 23.1.875...047.1 |
$x^{23} - x - 4$ |
$23$ |
[1,11] |
$-\,7901\cdot 159683\cdot 69415968602603755097356934209$ |
$3$ |
$44.6343866265$ |
$9.358366868937871e+18$ |
|
|
? |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$10664511959.7$ |
| 23.1.904...440.1 |
$x^{23} + 2 x - 2$ |
$23$ |
[1,11] |
$-\,2^{22}\cdot 5\cdot 9629\cdot 78977\cdot 5671055267529396512759$ |
$5$ |
$44.6968791201$ |
$9011551868163896.0$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$11760180370.2$ |
| 23.1.990...656.1 |
$x^{23} + 8 x - 8$ |
$23$ |
[1,11] |
$-\,2^{22}\cdot 19\cdot 2617\cdot 310741\cdot 1528181322635255601073$ |
$5$ |
$44.8735986096$ |
$9429900711203802.0$ |
|
|
? |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$13784529892.7$ |
| 23.1.332...679.1 |
$x^{23} - 9 x - 9$ |
$23$ |
[1,11] |
$-\,3^{22}\cdot 103\cdot 409\cdot 136973\cdot 1835872831815206461$ |
$5$ |
$47.299523925$ |
$294371594383291.06$ |
|
|
? |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$12917754140.4$ |
| 23.7.437...528.1 |
$x^{23} - 3 x^{22} + 4 x^{20} + 5 x^{19} - 5 x^{18} - 14 x^{17} + 4 x^{16} + 15 x^{15} + 10 x^{14} - 22 x^{13} - 13 x^{12} + 16 x^{11} + 18 x^{10} - 3 x^{9} - 23 x^{8} + x^{7} + 13 x^{6} + 4 x^{5} - 7 x^{4} - 4 x^{3} + 5 x^{2} + x - 1$ |
$23$ |
[7,8] |
$2^{4}\cdot 17\cdot 241\cdot 1709\cdot 3877\cdot 111868093\cdot 346250347\cdot 25983511363$ |
$8$ |
$47.8659710754$ |
|
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$14$ |
$78508567076.1$ |
| 23.1.140...512.1 |
$x^{23} - 4 x - 8$ |
$23$ |
[1,11] |
$-\,2^{26}\cdot 25811015603927\cdot 808975051375354229$ |
$3$ |
$50.3526826419$ |
|
|
|
? |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$61444013102.3$ |
| 23.15.902...637.1 |
$x^{23} - 6 x^{22} - 5 x^{21} + 86 x^{20} - 45 x^{19} - 531 x^{18} + 490 x^{17} + 1869 x^{16} - 1929 x^{15} - 4166 x^{14} + 4062 x^{13} + 6124 x^{12} - 4949 x^{11} - 5930 x^{10} + 3501 x^{9} + 3657 x^{8} - 1386 x^{7} - 1348 x^{6} + 286 x^{5} + 273 x^{4} - 28 x^{3} - 27 x^{2} + x + 1$ |
$23$ |
[15,4] |
$90\!\cdots\!37$ |
$1$ |
$54.5998428171$ |
$9.499505821039636e+19$ |
|
|
? |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$18$ |
$1818525117070$ |
| 23.9.955...636.1 |
$x^{23} - x^{22} - 4 x^{21} - 3 x^{20} + 10 x^{19} + 17 x^{18} - 2 x^{17} - 26 x^{16} - 21 x^{15} + 15 x^{14} + 19 x^{13} - 7 x^{12} - 18 x^{11} + 15 x^{10} + 35 x^{9} - 33 x^{7} - 24 x^{6} + 12 x^{5} + 16 x^{4} + 3 x^{3} - 5 x^{2} - 2 x + 1$ |
$23$ |
[9,7] |
$-\,2^{2}\cdot 19\cdot 432841815513398891\cdot 290448827022730856621$ |
$4$ |
$54.7356280457$ |
$9.774762512599196e+19$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$15$ |
$973481536934$ |
| 23.15.124...500.1 |
$x^{23} - 2 x^{22} - 20 x^{21} + 36 x^{20} + 175 x^{19} - 273 x^{18} - 876 x^{17} + 1134 x^{16} + 2749 x^{15} - 2812 x^{14} - 5571 x^{13} + 4267 x^{12} + 7255 x^{11} - 3939 x^{10} - 5887 x^{9} + 2181 x^{8} + 2825 x^{7} - 734 x^{6} - 749 x^{5} + 154 x^{4} + 99 x^{3} - 19 x^{2} - 5 x + 1$ |
$23$ |
[15,4] |
$2^{2}\cdot 5^{4}\cdot 7499\cdot 275729\cdot 49942556731\cdot 48034096151655703$ |
$6$ |
$55.3596471245$ |
$1.3024561044692664e+19$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$18$ |
$2323935089500$ |
| 23.1.224...224.1 |
$x^{23} + 4 x - 8$ |
$23$ |
[1,11] |
$-\,2^{30}\cdot 3\cdot 929\cdot 623071\cdot 16280269\cdot 738591239095427$ |
$6$ |
$56.8035733437$ |
|
|
|
? |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$402011657995$ |
| 23.1.285...320.1 |
$x^{23} + 8 x - 4$ |
$23$ |
[1,11] |
$-\,2^{22}\cdot 5\cdot 24986142523\cdot 54552257894632015274417$ |
$4$ |
$57.4067141285$ |
$1.6020745037248333e+17$ |
|
|
? |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$281108277991$ |
| 23.9.300...043.1 |
$x^{23} - 2 x^{22} - 4 x^{21} + 6 x^{20} + 10 x^{19} - 7 x^{18} - 14 x^{17} + 11 x^{16} + 12 x^{15} - 31 x^{14} - 36 x^{13} + 41 x^{12} + 89 x^{11} + 5 x^{10} - 105 x^{9} - 65 x^{8} + 56 x^{7} + 68 x^{6} - 7 x^{5} - 34 x^{4} - 4 x^{3} + 9 x^{2} + x - 1$ |
$23$ |
[9,7] |
$-\,508621\cdot 158113511\cdot 1092887040821\cdot 341802543194293$ |
$4$ |
$57.5308249537$ |
$1.7332328753273392e+20$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$15$ |
$394956948058$ |
| 23.3.321...401.1 |
$x^{23} - 3 x - 1$ |
$23$ |
[3,10] |
$259028266789\cdot 124091112112198565028075828709$ |
$2$ |
$57.7002549387$ |
$1.7928498457579284e+20$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$12$ |
$208932361073$ |
| 23.1.321...535.1 |
$x^{23} + 3 x - 1$ |
$23$ |
[1,11] |
$-\,5\cdot 22723592653\cdot 282905139402414328282680249319$ |
$3$ |
$57.7002549419$ |
$1.7928498469225808e+20$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$185847611513$ |
| 23.1.322...336.1 |
$x^{23} + 3 x - 2$ |
$23$ |
[1,11] |
$-\,2^{23}\cdot 17\cdot 43\cdot 67\cdot 971821\cdot 15873405731\cdot 5085469520371$ |
$7$ |
$57.7070814215$ |
|
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$407641553662$ |
| 23.13.425...343.1 |
$x^{23} - 7 x^{22} + 2 x^{21} + 88 x^{20} - 150 x^{19} - 422 x^{18} + 1148 x^{17} + 862 x^{16} - 4167 x^{15} - 105 x^{14} + 8563 x^{13} - 2935 x^{12} - 10393 x^{11} + 5920 x^{10} + 7285 x^{9} - 5405 x^{8} - 2661 x^{7} + 2503 x^{6} + 356 x^{5} - 537 x^{4} + 19 x^{3} + 39 x^{2} - 2 x - 1$ |
$23$ |
[13,5] |
$-\,13\cdot 1289\cdot 4057217\cdot 26391289\cdot 32505503\cdot 7288751994309941$ |
$6$ |
$64.5556967352$ |
$6.519999859779894e+20$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$17$ |
$4090939159600$ |
| 23.1.623...335.1 |
$x^{23} - 3 x - 3$ |
$23$ |
[1,11] |
$-\,3^{22}\cdot 5\cdot 203008301\cdot 19561943299801571525063$ |
$4$ |
$65.6379381689$ |
$1.274455719527393e+16$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$933328504105$ |
| 23.1.655...231.1 |
$x^{23} - 2 x - 3$ |
$23$ |
[1,11] |
$-\,587\cdot 75967200927041\cdot 14694056584644694851886093$ |
$3$ |
$65.7816262406$ |
$8.094741174753032e+20$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$951514783980$ |
| 23.1.655...719.1 |
$x^{23} - x - 3$ |
$23$ |
[1,11] |
$-\,41\cdot 263\cdot 455033\cdot 13\!\cdots\!21$ |
$4$ |
$65.781638742$ |
$8.094758865875517e+20$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$1198293682960$ |
| 23.1.655...887.1 |
$x^{23} + x - 3$ |
$23$ |
[1,11] |
$-\,859\cdot 1733\cdot 44\!\cdots\!21$ |
$3$ |
$65.781638742$ |
$8.094758865879735e+20$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$813269772507$ |
| 23.1.687...271.1 |
$x^{23} + 3 x - 3$ |
$23$ |
[1,11] |
$-\,3^{22}\cdot 7\cdot 467399\cdot 10931299891\cdot 612464196024013$ |
$5$ |
$65.9187485478$ |
$1.3385852001185396e+16$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$993709440615$ |
| 23.17.696...863.1 |
$x^{23} - 3 x^{22} - 18 x^{21} + 55 x^{20} + 141 x^{19} - 429 x^{18} - 638 x^{17} + 1858 x^{16} + 1864 x^{15} - 4889 x^{14} - 3693 x^{13} + 8033 x^{12} + 4990 x^{11} - 8160 x^{10} - 4433 x^{9} + 4919 x^{8} + 2383 x^{7} - 1652 x^{6} - 677 x^{5} + 297 x^{4} + 89 x^{3} - 27 x^{2} - 4 x + 1$ |
$23$ |
[17,3] |
$-\,17\cdot 40\!\cdots\!39$ |
$2$ |
$65.9575950422$ |
$8.347286835027352e+20$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$19$ |
$36539551739300$ |
| 23.1.751...207.1 |
$x^{23} + 9 x - 9$ |
$23$ |
[1,11] |
$-\,3^{22}\cdot 151\cdot 158631250967721112920032141873$ |
$3$ |
$66.175479984$ |
$1.3997797308565002e+16$ |
|
|
? |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$640542907885$ |
| 23.11.110...432.1 |
$x^{23} - 7 x^{22} + 2 x^{21} + 88 x^{20} - 150 x^{19} - 422 x^{18} + 1148 x^{17} + 862 x^{16} - 4167 x^{15} - 105 x^{14} + 8563 x^{13} - 2935 x^{12} - 10393 x^{11} + 5920 x^{10} + 7285 x^{9} - 5405 x^{8} - 2661 x^{7} + 2503 x^{6} + 354 x^{5} - 537 x^{4} + 18 x^{3} + 39 x^{2} - 2 x - 1$ |
$23$ |
[11,6] |
$2^{10}\cdot 22483\cdot 2527336563667297\cdot 19007452217635529293$ |
$4$ |
$67.2959220635$ |
|
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$16$ |
$11886760766000$ |
| 23.17.114...047.1 |
$x^{23} - 3 x^{22} - 18 x^{21} + 55 x^{20} + 141 x^{19} - 429 x^{18} - 638 x^{17} + 1858 x^{16} + 1864 x^{15} - 4889 x^{14} - 3693 x^{13} + 8033 x^{12} + 4990 x^{11} - 8160 x^{10} - 4433 x^{9} + 4919 x^{8} + 2383 x^{7} - 1652 x^{6} - 677 x^{5} + 298 x^{4} + 89 x^{3} - 28 x^{2} - 4 x + 1$ |
$23$ |
[17,3] |
$-\,1223\cdot 879051344165227\cdot 1061634057189152640819707$ |
$3$ |
$67.3881112897$ |
$1.0683357727863816e+21$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$19$ |
$50170522197400$ |
| 23.11.148...953.1 |
$x^{23} - 7 x^{22} + 2 x^{21} + 88 x^{20} - 150 x^{19} - 422 x^{18} + 1148 x^{17} + 862 x^{16} - 4167 x^{15} - 105 x^{14} + 8563 x^{13} - 2935 x^{12} - 10393 x^{11} + 5920 x^{10} + 7285 x^{9} - 5405 x^{8} - 2661 x^{7} + 2503 x^{6} + 354 x^{5} - 537 x^{4} + 21 x^{3} + 39 x^{2} - 2 x - 1$ |
$23$ |
[11,6] |
$53\cdot 317\cdot 438479\cdot 20\!\cdots\!07$ |
$4$ |
$68.1694891784$ |
$1.219791088446639e+21$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$16$ |
$5355593277510$ |
| 23.1.222...471.1 |
$x^{23} + 7 x - 4$ |
$23$ |
[1,11] |
$-\,3\cdot 661\cdot 102898348801\cdot 10918926580157025647925153137$ |
$4$ |
$69.3766818568$ |
$1.4926415711036585e+21$ |
|
|
? |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$3129530905130$ |
| 23.13.291...844.1 |
$x^{23} - 7 x^{22} + 2 x^{21} + 88 x^{20} - 150 x^{19} - 422 x^{18} + 1148 x^{17} + 862 x^{16} - 4167 x^{15} - 105 x^{14} + 8563 x^{13} - 2935 x^{12} - 10393 x^{11} + 5920 x^{10} + 7285 x^{9} - 5405 x^{8} - 2661 x^{7} + 2503 x^{6} + 354 x^{5} - 537 x^{4} + 19 x^{3} + 39 x^{2} - 3 x - 1$ |
$23$ |
[13,5] |
$-\,2^{2}\cdot 773\cdot 2479717146827\cdot 380221505923121334124604891$ |
$4$ |
$70.19244352$ |
|
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$17$ |
$21282525078200$ |
| 23.1.367...128.1 |
$x^{23} - 2 x - 4$ |
$23$ |
[1,11] |
$-\,2^{42}\cdot 3\cdot 3739\cdot 360193\cdot 400051\cdot 516740936139647$ |
$6$ |
$70.901395652$ |
|
|
|
? |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$4422799153190$ |
| 23.19.211...793.1 |
$x^{23} - 2 x^{22} - 21 x^{21} + 41 x^{20} + 186 x^{19} - 354 x^{18} - 905 x^{17} + 1679 x^{16} + 2640 x^{15} - 4790 x^{14} - 4721 x^{13} + 8478 x^{12} + 5041 x^{11} - 9294 x^{10} - 2890 x^{9} + 6142 x^{8} + 560 x^{7} - 2310 x^{6} + 194 x^{5} + 432 x^{4} - 99 x^{3} - 26 x^{2} + 11 x - 1$ |
$23$ |
[19,2] |
$3^{2}\cdot 31\cdot 61\cdot 12200617224119\cdot 101917126957405185189830413$ |
$5$ |
$76.5103398382$ |
$2.65595601828885e+21$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$20$ |
$288525695460000$ |
| 23.3.240...408.1 |
$x^{23} - 4 x - 2$ |
$23$ |
[3,10] |
$2^{22}\cdot 877\cdot 19001\cdot 19571\cdot 263933\cdot 66547926528717936307$ |
$6$ |
$76.9336610607$ |
$4.644622058793635e+18$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$12$ |
$7510521361460$ |
| 23.3.240...209.1 |
$x^{23} - 4 x - 1$ |
$23$ |
[3,10] |
$79\cdot 30\!\cdots\!71$ |
$2$ |
$76.9336732537$ |
$4.901617177763348e+21$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$12$ |
$9167004154390$ |
| 23.1.240...343.1 |
$x^{23} + 4 x - 1$ |
$23$ |
[1,11] |
$-\,3\cdot 307\cdot 34500939701\cdot 12135377781337\cdot 62306724912060059$ |
$5$ |
$76.9336732537$ |
$4.901617177767607e+21$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
$[2]$ |
$2$ |
$11$ |
$2707199797350$ |
| 23.1.240...144.1 |
$x^{23} + 4 x - 2$ |
$23$ |
[1,11] |
$-\,2^{22}\cdot 3\cdot 13\cdot 449\cdot 32\!\cdots\!01$ |
$5$ |
$76.9336854467$ |
$4.64463898940054e+18$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$7581209599410$ |
| 23.1.246...079.1 |
$x^{23} + 4 x - 3$ |
$23$ |
[1,11] |
$-\,114089\cdot 350671093\cdot 18936502114367\cdot 32577747177637381$ |
$4$ |
$77.0237298985$ |
$4.968007867177008e+21$ |
|
|
✓ |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$11$ |
$6125748579000$ |
| 23.3.480...184.1 |
$x^{23} - 8 x - 4$ |
$23$ |
[3,10] |
$2^{22}\cdot 3\cdot 2377\cdot 111863\cdot 115741\cdot 198173\cdot 4489367\cdot 139474352947$ |
$8$ |
$79.2874946137$ |
$6.568493493524864e+18$ |
|
|
? |
$S_{23}$ (as 23T7) |
trivial |
$2$ |
$12$ |
$13271946732000$ |
