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 |
10.2.33811054741.1 |
$x^{10} - 3 x^{9} + 6 x^{8} - 8 x^{7} + 6 x^{6} - 3 x^{5} - 6 x^{3} + 5 x^{2} - x - 1$ |
$10$ |
[2,4] |
$17^{5}\cdot 23813$ |
$2$ |
$11.2955107151$ |
$636.2554518430471$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$26.4704390055$ |
10.2.45287758872.1 |
$x^{10} - x^{9} - 2 x^{8} + 2 x^{7} + 5 x^{6} - 2 x^{5} - 6 x^{4} + 6 x^{3} + x^{2} - 3 x + 1$ |
$10$ |
[2,4] |
$2^{3}\cdot 3^{2}\cdot 17^{5}\cdot 443$ |
$4$ |
$11.6304918943$ |
$425.1399769487692$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$32.2821809082$ |
10.2.54653135644.1 |
$x^{10} - x^{9} + x^{8} - 2 x^{7} + 2 x^{6} + 8 x^{5} - 7 x^{4} - 4 x^{3} + 2 x^{2} - x - 1$ |
$10$ |
[2,4] |
$2^{2}\cdot 17^{5}\cdot 9623$ |
$3$ |
$11.8511776534$ |
$808.9276852722992$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$35.3901627333$ |
10.2.61549381093.1 |
$x^{10} + 4 x^{8} - 2 x^{7} + 3 x^{6} - 6 x^{5} - x^{4} - 3 x^{3} - 2 x^{2} + x + 1$ |
$10$ |
[2,4] |
$17^{5}\cdot 67\cdot 647$ |
$3$ |
$11.992849095$ |
$858.4480182282442$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$25.9643258543$ |
10.4.74200306963.1 |
$x^{10} - x^{9} - 5 x^{8} + 2 x^{7} + 10 x^{6} + 3 x^{5} - 6 x^{4} - 3 x^{3} - 5 x^{2} - 8 x - 1$ |
$10$ |
[4,3] |
$-\,17^{5}\cdot 52259$ |
$2$ |
$12.2191380153$ |
$942.5513248624713$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$38.5619056974$ |
10.4.84065473399.1 |
$x^{10} - 2 x^{9} - x^{8} + 5 x^{7} + 3 x^{6} - 6 x^{5} - 9 x^{4} - 3 x^{3} + 5 x^{2} + 5 x + 1$ |
$10$ |
[4,3] |
$-\,17^{5}\cdot 59207$ |
$2$ |
$12.3726226108$ |
$1003.2542050746661$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$33.947229591$ |
10.4.87497267768.1 |
$x^{10} - 2 x^{9} + 3 x^{8} - 5 x^{7} + 4 x^{6} - x^{5} - 4 x^{4} + 2 x^{3} - 3 x^{2} + 1$ |
$10$ |
[4,3] |
$-\,2^{3}\cdot 17^{5}\cdot 7703$ |
$3$ |
$12.4222266575$ |
$1023.5272346156696$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$61.7548758594$ |
10.4.102324834419.1 |
$x^{10} - x^{9} - x^{8} + 2 x^{7} + 9 x^{5} - 9 x^{4} - 2 x^{3} + 3 x^{2} - 3 x + 2$ |
$10$ |
[4,3] |
$-\,17^{5}\cdot 19\cdot 3793$ |
$3$ |
$12.618220289$ |
$1106.8599730769922$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$65.3106180928$ |
10.2.104497215629.1 |
$x^{10} - 3 x^{9} + 5 x^{8} - 5 x^{7} + 4 x^{6} - 5 x^{4} + 7 x^{3} - 3 x^{2} + 1$ |
$10$ |
[2,4] |
$17^{5}\cdot 73597$ |
$2$ |
$12.6447565381$ |
$1118.5477191429966$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$49.8962374371$ |
10.2.104900455017.1 |
$x^{10} - x^{9} + x^{8} + x^{7} - 6 x^{6} - 5 x^{5} - 2 x^{4} + 6 x^{2} + 2 x + 1$ |
$10$ |
[2,4] |
$3^{2}\cdot 17^{5}\cdot 8209$ |
$3$ |
$12.6496275113$ |
$647.0386387226037$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$62.0781131855$ |
10.2.105269617837.1 |
$x^{10} - x^{9} - x^{8} + x^{7} - 2 x^{5} + 2 x^{2} + x + 1$ |
$10$ |
[2,4] |
$17^{5}\cdot 151\cdot 491$ |
$3$ |
$12.6540720997$ |
$1122.674039959952$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$50.5758162441$ |
10.2.106597184132.1 |
$x^{10} - 2 x^{9} + 4 x^{8} - 2 x^{7} - 2 x^{6} + 11 x^{5} - 13 x^{4} + 12 x^{3} - 3 x^{2} + x + 1$ |
$10$ |
[2,4] |
$2^{2}\cdot 17^{5}\cdot 137^{2}$ |
$3$ |
$12.6699404381$ |
$173.93681068717723$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$55.782999832$ |
10.2.110158185488.1 |
$x^{10} - 3 x^{9} + 10 x^{7} - 9 x^{6} - 10 x^{5} + 16 x^{4} + 2 x^{3} - 12 x^{2} + 2 x + 4$ |
$10$ |
[2,4] |
$2^{4}\cdot 13\cdot 17^{5}\cdot 373$ |
$4$ |
$12.7116427054$ |
$499.8901153796735$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$86.852997931$ |
10.2.6928449225617.1 |
$x^{10} - 2 x^{9} + 2 x^{8} + 3 x^{7} - 8 x^{6} + 69 x^{5} + 328 x^{4} + 416 x^{3} + 576 x^{2} - 1024$ |
$10$ |
[2,4] |
$17^{5}\cdot 47^{4}$ |
$2$ |
$19.2337339268$ |
$28.26658805020514$ |
|
|
? |
$D_{10}$ (as 10T3) |
trivial |
$2$ |
$5$ |
$236.662606941$ |
10.0.21287041369088.1 |
$x^{10} - 4 x^{9} + 13 x^{8} - 32 x^{7} + 77 x^{6} - 94 x^{5} + 204 x^{4} - 116 x^{3} + 227 x^{2} - 60 x + 81$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 11^{4}\cdot 17^{5}$ |
$3$ |
$21.5184770063$ |
$56.152436381271485$ |
|
|
|
$D_5\times C_5$ (as 10T6) |
$[4]$ |
$2$ |
$4$ |
$454.311256216$ |
10.2.159806156244017.1 |
$x^{10} - x^{9} - 18 x^{8} + 16 x^{7} + 152 x^{6} - 88 x^{5} - 787 x^{4} + 87 x^{3} + 2246 x^{2} - 330 x - 2367$ |
$10$ |
[2,4] |
$17^{5}\cdot 103^{4}$ |
$2$ |
$26.3244526905$ |
$41.84495190581536$ |
|
|
|
$D_{10}$ (as 10T3) |
trivial |
$2$ |
$5$ |
$1443.95891588$ |
10.10.304358957700017.1 |
$x^{10} - 3 x^{9} - 26 x^{8} + 68 x^{7} + 210 x^{6} - 464 x^{5} - 526 x^{4} + 987 x^{3} + 166 x^{2} - 389 x + 43$ |
$10$ |
[10,0] |
$11^{8}\cdot 17^{5}$ |
$2$ |
$28.0762181906$ |
$28.076218190635743$ |
|
✓ |
? |
$C_{10}$ (as 10T1) |
trivial |
$2$ |
$9$ |
$6521.45238479$ |
10.0.325637113603999.1 |
$x^{10} - 4 x^{9} + 14 x^{8} + 6 x^{7} + 71 x^{6} + 92 x^{5} + 343 x^{4} + 2064 x^{3} + 7651 x^{2} - 24218 x + 86141$ |
$10$ |
[0,5] |
$-\,17^{5}\cdot 47^{5}$ |
$2$ |
$28.2665880502$ |
$28.26658805020514$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[16]$ |
$2$ |
$4$ |
$112.980946837$ |
10.2.369368189536337.1 |
$x^{10} - 3 x^{9} - 22 x^{8} + 60 x^{7} + 168 x^{6} - 378 x^{5} - 426 x^{4} + 729 x^{3} + 302 x^{2} - 147 x - 509$ |
$10$ |
[2,4] |
$17^{5}\cdot 127^{4}$ |
$2$ |
$28.6250299056$ |
$46.46504062195577$ |
|
|
|
$D_{10}$ (as 10T3) |
trivial |
$2$ |
$5$ |
$2397.804043512655$ |
10.0.1342738182652928.1 |
$x^{10} - 2 x^{9} + 24 x^{8} - 64 x^{7} + 153 x^{6} - 204 x^{5} + 312 x^{4} - 354 x^{3} + 446 x^{2} - 312 x + 189$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 17^{5}\cdot 31^{4}$ |
$3$ |
$32.5686032686$ |
$128.63045664831438$ |
|
|
|
$D_5\times C_5$ (as 10T6) |
$[4]$ |
$2$ |
$4$ |
$5882.15601532$ |
10.2.1457661659547617.1 |
$x^{10} - 3 x^{9} - 18 x^{8} + 44 x^{7} + 146 x^{6} - 342 x^{5} - 469 x^{4} + 1113 x^{3} + 752 x^{2} - 2280 x - 376$ |
$10$ |
[2,4] |
$17^{5}\cdot 179^{4}$ |
$2$ |
$32.8371663514$ |
$55.163393659201205$ |
|
|
|
$D_{10}$ (as 10T3) |
trivial |
$2$ |
$5$ |
$28492.070413966056$ |
10.2.3049119689998336.5 |
$x^{10} - 3 x^{9} + 2 x^{8} + 12 x^{7} - 18 x^{6} + 14 x^{5} + 32 x^{4} - 52 x^{3} + 33 x^{2} + 53 x - 42$ |
$10$ |
[2,4] |
$2^{31}\cdot 17^{5}$ |
$2$ |
$35.3522815422$ |
$60.49447246802112$ |
|
|
|
$\PGL(2,9)$ (as 10T30) |
$[2]$ |
$2$ |
$5$ |
$27550.419446919223$ |
10.4.3090719637245952.1 |
$x^{10} - 4 x^{9} - 6 x^{8} + 30 x^{7} - 9 x^{6} + 6 x^{5} - 114 x^{4} + 96 x^{3} + 36 x^{2} + 8 x - 8$ |
$10$ |
[4,3] |
$-\,2^{12}\cdot 3^{12}\cdot 17^{5}$ |
$3$ |
$35.4002200103$ |
$56.82293951194324$ |
|
|
? |
$(A_6 : C_2) : C_2$ (as 10T35) |
$[2]$ |
$2$ |
$6$ |
$35412.7260964$ |
10.2.3090719637245952.1 |
$x^{10} - 2 x^{9} - 3 x^{8} + 18 x^{7} - 3 x^{6} - 72 x^{5} + 72 x^{4} + 72 x^{3} - 234 x^{2} - 36 x - 36$ |
$10$ |
[2,4] |
$2^{12}\cdot 3^{12}\cdot 17^{5}$ |
$3$ |
$35.4002200103$ |
$53.63371297638887$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[4]$ |
$2$ |
$5$ |
$12160.927328$ |
10.0.7094732007031808.1 |
$x^{10} - 4 x^{9} + 93 x^{8} - 282 x^{7} + 3306 x^{6} - 7312 x^{5} + 56335 x^{4} - 83126 x^{3} + 459661 x^{2} - 342380 x + 1419025$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 17^{5}\cdot 47^{4}$ |
$3$ |
$38.4674678536$ |
$56.53317610041028$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[4]$ |
$2$ |
$4$ |
$1164.4637415198004$ |
10.2.14703046783759697.1 |
$x^{10} - 3 x^{9} - 20 x^{8} + 62 x^{7} + 141 x^{6} - 321 x^{5} - 349 x^{4} - 108 x^{3} + 705 x^{2} + 728 x - 1277$ |
$10$ |
[2,4] |
$11^{4}\cdot 17^{5}\cdot 29^{4}$ |
$3$ |
$41.3752598128$ |
$73.64102117705865$ |
|
|
|
$D_{10}$ (as 10T3) |
trivial |
$2$ |
$5$ |
$13581.283995974407$ |
10.0.15785983437159375.1 |
$x^{10} - 2 x^{9} - 4 x^{8} - 8 x^{7} + 86 x^{6} + 108 x^{5} + 20 x^{4} - 152 x^{3} + 257 x^{2} + 54 x + 664$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 5^{5}\cdot 11^{4}\cdot 17^{5}$ |
$4$ |
$41.6703515406$ |
$108.73872547681796$ |
|
|
|
$D_5\times C_5$ (as 10T6) |
$[2, 6]$ |
$2$ |
$4$ |
$15158.4643242$ |
10.0.16460034093133751.1 |
$x^{10} - 4 x^{9} + 50 x^{8} - 154 x^{7} + 1139 x^{6} - 2304 x^{5} + 11951 x^{4} - 12904 x^{3} + 63139 x^{2} - 47198 x + 177309$ |
$10$ |
[0,5] |
$-\,17^{5}\cdot 103^{5}$ |
$2$ |
$41.8449519058$ |
$41.84495190581536$ |
|
|
|
$D_{10}$ (as 10T3) |
$[48]$ |
$2$ |
$4$ |
$689.335115585$ |
10.0.18174169600000000.1 |
$x^{10} + 20 x^{8} - 10 x^{7} + 44 x^{6} - 78 x^{5} + 315 x^{4} - 520 x^{3} + 640 x^{2} - 412 x + 155$ |
$10$ |
[0,5] |
$-\,2^{15}\cdot 5^{8}\cdot 17^{5}$ |
$3$ |
$42.2615535327$ |
$153.15157277952014$ |
|
|
|
$D_5\times C_5$ (as 10T6) |
$[4]$ |
$2$ |
$4$ |
$7657.28864463$ |
10.2.19882838144847872.1 |
$x^{10} - 3 x^{9} - 20 x^{8} + 46 x^{7} + 165 x^{6} - 379 x^{5} - 466 x^{4} + 1320 x^{3} + 340 x^{2} - 2500 x + 472$ |
$10$ |
[2,4] |
$2^{12}\cdot 17^{5}\cdot 43^{4}$ |
$3$ |
$42.6430085764$ |
$76.47221717722064$ |
|
|
|
$D_{10}$ (as 10T3) |
trivial |
$2$ |
$5$ |
$589640.9532270654$ |
10.4.24725757097967616.1 |
$x^{10} - 12 x^{8} - 12 x^{7} - 27 x^{6} + 36 x^{5} + 6 x^{4} - 528 x^{3} + 660 x^{2} - 464 x + 120$ |
$10$ |
[4,3] |
$-\,2^{15}\cdot 3^{12}\cdot 17^{5}$ |
$3$ |
$43.5827830969$ |
$90.20079395718408$ |
|
|
? |
$(A_6 : C_2) : C_2$ (as 10T35) |
$[2]$ |
$2$ |
$6$ |
$156817.68029$ |
10.2.28078226806640625.2 |
$x^{10} - 5 x^{9} - 10 x^{8} + 60 x^{7} + 80 x^{6} - 502 x^{5} + 10 x^{4} + 1575 x^{3} - 410 x^{2} - 3485 x + 863$ |
$10$ |
[2,4] |
$3^{4}\cdot 5^{12}\cdot 17^{5}$ |
$3$ |
$44.1404714878$ |
$57.86901546263599$ |
|
|
? |
$D_{10}$ (as 10T3) |
trivial |
$2$ |
$5$ |
$16113.34717589745$ |
10.0.42967621844893696.1 |
$x^{10} - 2 x^{9} + 7 x^{8} - 94 x^{7} + 284 x^{6} - 152 x^{5} - 199 x^{4} + 30 x^{3} + 325 x^{2} + 102 x + 59$ |
$10$ |
[0,5] |
$-\,2^{15}\cdot 17^{5}\cdot 31^{4}$ |
$3$ |
$46.0589604499$ |
$181.91093632629065$ |
|
|
? |
$D_5\times C_5$ (as 10T6) |
$[4]$ |
$2$ |
$4$ |
$1985.13298107$ |
10.0.46909760071114799.2 |
$x^{10} - 2 x^{9} - 59 x^{8} + 102 x^{7} + 1236 x^{6} - 2400 x^{5} - 10137 x^{4} + 30798 x^{3} + 28355 x^{2} - 213106 x + 283337$ |
$10$ |
[0,5] |
$-\,17^{5}\cdot 127^{5}$ |
$2$ |
$46.465040622$ |
$46.46504062195577$ |
|
|
|
$D_{10}$ (as 10T3) |
$[60]$ |
$2$ |
$4$ |
$1144.6935984834076$ |
10.2.54683903946609857.1 |
$x^{10} - 3 x^{9} - 20 x^{8} + 46 x^{7} + 175 x^{6} - 385 x^{5} - 272 x^{4} + 1538 x^{3} - 891 x^{2} - 751 x - 766$ |
$10$ |
[2,4] |
$17^{5}\cdot 443^{4}$ |
$2$ |
$47.1830434944$ |
$86.78133439859057$ |
|
|
|
$D_{10}$ (as 10T3) |
trivial |
$2$ |
$5$ |
$191045.3421309618$ |
10.2.60854149000360625.1 |
$x^{10} - x^{9} - 18 x^{8} + 28 x^{7} + 142 x^{6} - 6 x^{5} - 819 x^{4} - 679 x^{3} + 2306 x^{2} + 3960 x - 1573$ |
$10$ |
[2,4] |
$5^{4}\cdot 7^{4}\cdot 13^{4}\cdot 17^{5}$ |
$4$ |
$47.6901863394$ |
$87.94884877018005$ |
|
|
? |
$D_{10}$ (as 10T3) |
trivial |
$2$ |
$5$ |
$23623.67177194063$ |
10.2.106231022663940737.1 |
$x^{10} - 3 x^{9} - 12 x^{8} + 22 x^{7} + 135 x^{6} - 361 x^{5} - 400 x^{4} + 1930 x^{3} + 781 x^{2} - 5295 x - 1494$ |
$10$ |
[2,4] |
$17^{5}\cdot 523^{4}$ |
$2$ |
$50.4225884222$ |
$94.29209935090002$ |
|
|
|
$D_{10}$ (as 10T3) |
trivial |
$2$ |
$5$ |
$411280.08400501346$ |
10.2.159062705158782976.1 |
$x^{10} + 14 x^{8} - 130 x^{7} - 151 x^{6} + 1468 x^{5} - 11625 x^{4} - 1906 x^{3} + 16250 x^{2} - 120296 x - 160649$ |
$10$ |
[2,4] |
$2^{15}\cdot 17^{5}\cdot 43^{4}$ |
$3$ |
$52.4997017771$ |
$76.47221717722064$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$46087.56214379965$ |
10.0.163641503993873408.1 |
$x^{10} - 4 x^{9} + 95 x^{8} - 290 x^{7} + 3389 x^{6} - 7466 x^{5} + 56570 x^{4} - 81158 x^{3} + 439411 x^{2} - 303856 x + 1247733$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 17^{5}\cdot 103^{4}$ |
$3$ |
$52.648905381$ |
$83.68990381163071$ |
|
|
|
$D_{10}$ (as 10T3) |
$[4]$ |
$2$ |
$4$ |
$18521.84211007535$ |
10.10.216...625.1 |
$x^{10} - 5 x^{9} - 30 x^{8} + 140 x^{7} + 230 x^{6} - 1128 x^{5} - 300 x^{4} + 2485 x^{3} - 90 x^{2} - 1345 x + 43$ |
$10$ |
[10,0] |
$5^{16}\cdot 17^{5}$ |
$2$ |
$54.1472578309$ |
$54.147257830891874$ |
|
✓ |
? |
$C_{10}$ (as 10T1) |
trivial |
$2$ |
$9$ |
$202045.615075$ |
10.0.227031424225017856.1 |
$x^{10} - 4 x^{9} + 178 x^{8} - 554 x^{7} + 12384 x^{6} - 28494 x^{5} + 421325 x^{4} - 645996 x^{3} + 7006242 x^{2} - 5417424 x + 45432025$ |
$10$ |
[0,5] |
$-\,2^{15}\cdot 17^{5}\cdot 47^{4}$ |
$3$ |
$54.4012147487$ |
$79.94998436522674$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[4]$ |
$2$ |
$4$ |
$9974.892309512701$ |
10.2.227031424225017856.1 |
$x^{10} - 4 x^{9} - 162 x^{8} + 534 x^{7} + 10752 x^{6} - 26998 x^{5} - 365843 x^{4} + 613636 x^{3} + 6375610 x^{2} - 5259392 x - 45438959$ |
$10$ |
[2,4] |
$2^{15}\cdot 17^{5}\cdot 47^{4}$ |
$3$ |
$54.4012147487$ |
$79.94998436522674$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$29718.856936331882$ |
10.0.260921437059023443.1 |
$x^{10} - 2 x^{9} + 25 x^{8} + 62 x^{7} + 180 x^{6} + 1598 x^{5} + 2625 x^{4} + 13502 x^{3} + 45477 x^{2} - 177128 x + 1104268$ |
$10$ |
[0,5] |
$-\,17^{5}\cdot 179^{5}$ |
$2$ |
$55.1633936592$ |
$55.163393659201205$ |
|
|
|
$D_{10}$ (as 10T3) |
$[12]$ |
$2$ |
$4$ |
$13601.899912816334$ |
10.0.311663572684817408.1 |
$x^{10} - x^{8} - 22 x^{7} + 29 x^{6} + 154 x^{5} - 261 x^{4} - 528 x^{3} + 1840 x^{2} - 1848 x + 637$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 11^{8}\cdot 17^{5}$ |
$3$ |
$56.1524363813$ |
$56.152436381271485$ |
|
|
? |
$D_5\times C_5$ (as 10T6) |
$[5, 20]$ |
$2$ |
$4$ |
$535.300635925$ |
10.0.311663572684817408.3 |
$x^{10} - 2 x^{9} + 78 x^{8} - 122 x^{7} + 2702 x^{6} - 3194 x^{5} + 51055 x^{4} - 41284 x^{3} + 522906 x^{2} - 220904 x + 2319481$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 11^{8}\cdot 17^{5}$ |
$3$ |
$56.1524363813$ |
$56.152436381271485$ |
✓ |
✓ |
? |
$C_{10}$ (as 10T1) |
$[5, 220]$ |
$2$ |
$4$ |
$26.1711060094$ |
10.2.333452404330494976.1 |
$x^{10} - 34 x^{8} + 2601 x^{6} - 39304 x^{4} + 1336336 x^{2} - 66733279$ |
$10$ |
[2,4] |
$2^{10}\cdot 17^{5}\cdot 47^{5}$ |
$3$ |
$56.5331761004$ |
$56.53317610041028$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[8]$ |
$2$ |
$5$ |
$7851.838394446358$ |
10.0.378233026085209088.2 |
$x^{10} - 2 x^{9} + 82 x^{8} - 130 x^{7} + 2830 x^{6} - 3310 x^{5} + 50515 x^{4} - 38308 x^{3} + 471774 x^{2} - 175820 x + 1900941$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 17^{5}\cdot 127^{4}$ |
$3$ |
$57.2500598112$ |
$92.93008124391154$ |
|
|
|
$D_{10}$ (as 10T3) |
$[4]$ |
$2$ |
$4$ |
$32025.611580889792$ |
10.0.421173402099609375.2 |
$x^{10} - 5 x^{9} + 30 x^{8} - 30 x^{7} + 125 x^{6} + 339 x^{5} + 255 x^{4} + 2530 x^{3} + 6025 x^{2} - 2370 x + 53809$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 5^{13}\cdot 17^{5}$ |
$3$ |
$57.8690154626$ |
$57.86901546263599$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2, 6]$ |
$2$ |
$4$ |
$7692.390632292783$ |
10.2.791103937004688125.1 |
$x^{10} - 5 x^{9} + 8 x^{8} + 99 x^{7} - 173 x^{6} - 282 x^{5} + 3161 x^{4} + 2757 x^{3} + 755 x^{2} + 3731 x - 8827$ |
$10$ |
[2,4] |
$5^{4}\cdot 7^{4}\cdot 13^{5}\cdot 17^{5}$ |
$4$ |
$61.6344258327$ |
$87.94884877018005$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$333065.12050596706$ |
10.10.813...441.1 |
$x^{10} - x^{9} - 142 x^{8} + 142 x^{7} + 7294 x^{6} - 7294 x^{5} - 161875 x^{4} + 161875 x^{3} + 1408980 x^{2} - 1408980 x - 2675243$ |
$10$ |
[10,0] |
$3^{5}\cdot 11^{9}\cdot 17^{5}$ |
$3$ |
$61.8071196104$ |
$61.807119610446264$ |
|
✓ |
? |
$C_{10}$ (as 10T1) |
$[2]$ |
$2$ |
$9$ |
$229963.255287$ |