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 |
10.0.5051514699891.1 |
$x^{10} - 3 x^{9} + 4 x^{8} + 2 x^{7} - 2 x^{6} - 12 x^{5} + 19 x^{4} + 22 x^{3} + 2 x^{2} - 15 x + 25$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 11^{4}\cdot 17^{5}$ |
$3$ |
$18.6355477382$ |
$48.62943639057064$ |
|
|
? |
$D_5\times C_5$ (as 10T6) |
$[2]$ |
$2$ |
$4$ |
$138.692708269$ |
10.0.134775488671875.1 |
$x^{10} - 3 x^{9} + 8 x^{8} - 15 x^{7} + 18 x^{6} - 5 x^{5} + 35 x^{4} - 35 x^{3} + 25 x^{2} - 35 x + 25$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 5^{8}\cdot 17^{5}$ |
$3$ |
$25.8798104731$ |
$93.78580165363648$ |
|
|
|
$D_5\times C_5$ (as 10T6) |
$[2]$ |
$2$ |
$4$ |
$1103.79982329$ |
10.0.974958898291011.1 |
$x^{10} - 2 x^{9} + 9 x^{8} + 22 x^{7} + 79 x^{6} + 198 x^{5} + 426 x^{4} + 702 x^{3} + 711 x^{2} + 378 x + 81$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 17^{5}\cdot 41^{4}$ |
$3$ |
$31.5426829541$ |
$139.31958541603515$ |
|
|
|
$D_5\times C_5$ (as 10T6) |
$[2]$ |
$2$ |
$4$ |
$13029.064093$ |
10.0.1683613161824931.1 |
$x^{10} - x^{9} + 65 x^{8} - 52 x^{7} + 1664 x^{6} - 990 x^{5} + 21008 x^{4} - 7909 x^{3} + 130379 x^{2} - 25923 x + 316525$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 17^{5}\cdot 47^{4}$ |
$3$ |
$33.3138043805$ |
$48.95916665957459$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$4$ |
$2036.932549397621$ |
10.0.3347948534700187.1 |
$x^{10} - x^{9} + 45 x^{8} - 45 x^{7} + 749 x^{6} - 749 x^{5} + 5677 x^{4} - 5677 x^{3} + 19757 x^{2} - 19757 x + 31021$ |
$10$ |
[0,5] |
$-\,11^{9}\cdot 17^{5}$ |
$2$ |
$35.6843571449$ |
$35.68435714492655$ |
✓ |
✓ |
? |
$C_{10}$ (as 10T1) |
$[82]$ |
$2$ |
$4$ |
$26.1711060094$ |
10.2.21651403830053125.1 |
$x^{10} - x^{9} - 105 x^{8} + 84 x^{7} + 4452 x^{6} - 2690 x^{5} - 95340 x^{4} + 38467 x^{3} + 1030325 x^{2} - 218023 x - 4481861$ |
$10$ |
[2,4] |
$5^{5}\cdot 17^{5}\cdot 47^{4}$ |
$3$ |
$43.0079365215$ |
$63.20601237224193$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$5473.950579344926$ |
10.0.38832895967296131.1 |
$x^{10} - x^{9} + 67 x^{8} - 52 x^{7} + 1716 x^{6} - 1040 x^{5} + 21109 x^{4} - 9161 x^{3} + 123541 x^{2} - 34296 x + 268035$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 17^{5}\cdot 103^{4}$ |
$3$ |
$45.5952895414$ |
$72.47758274114831$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$4$ |
$12938.201392799338$ |
10.0.66522004278400000.1 |
$x^{10} - 4 x^{9} + 28 x^{8} - 16 x^{7} + 29 x^{6} - 188 x^{5} + 567 x^{4} - 574 x^{3} + 1405 x^{2} - 1088 x + 1369$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 5^{5}\cdot 11^{4}\cdot 17^{5}$ |
$4$ |
$48.1167773584$ |
$125.56066485075533$ |
|
|
? |
$D_5\times C_5$ (as 10T6) |
$[2, 2]$ |
$2$ |
$4$ |
$5433.55122813$ |
10.0.73959226721104131.1 |
$x^{10} - 5 x^{9} + 27 x^{8} - 67 x^{7} + 172 x^{6} - 308 x^{5} + 466 x^{4} - 375 x^{3} + 237 x^{2} - 148 x + 43$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 11^{8}\cdot 17^{5}$ |
$3$ |
$48.6294363906$ |
$48.62943639057064$ |
|
|
? |
$D_5\times C_5$ (as 10T6) |
$[10]$ |
$2$ |
$4$ |
$2636.97697204$ |
10.0.73959226721104131.3 |
$x^{10} - 3 x^{9} + 59 x^{8} - 136 x^{7} + 1570 x^{6} - 2640 x^{5} + 22900 x^{4} - 25193 x^{3} + 182899 x^{2} - 98649 x + 644071$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 11^{8}\cdot 17^{5}$ |
$3$ |
$48.6294363906$ |
$48.62943639057064$ |
✓ |
✓ |
? |
$C_{10}$ (as 10T1) |
$[710]$ |
$2$ |
$4$ |
$26.1711060094$ |
10.2.79129818605771757.1 |
$x^{10} - 4 x^{9} - 20 x^{8} - 28 x^{7} + 1737 x^{6} - 928 x^{5} - 17932 x^{4} - 67262 x^{3} + 378251 x^{2} - 1679797 x - 14311907$ |
$10$ |
[2,4] |
$3^{5}\cdot 17^{5}\cdot 47^{5}$ |
$3$ |
$48.9591666596$ |
$48.95916665957459$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$7926.526542718642$ |
10.0.84234680419921875.2 |
$x^{10} + 35 x^{8} + 615 x^{6} - 531 x^{5} + 8750 x^{4} - 13500 x^{3} + 62500 x^{2} - 56250 x + 84375$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 5^{12}\cdot 17^{5}$ |
$3$ |
$49.2662031403$ |
$57.86901546263599$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$4$ |
$86305.74237547872$ |
10.0.89756470057329891.2 |
$x^{10} - 3 x^{9} + 63 x^{8} - 144 x^{7} + 1664 x^{6} - 2826 x^{5} + 22626 x^{4} - 26199 x^{3} + 161683 x^{2} - 96333 x + 506193$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 17^{5}\cdot 127^{4}$ |
$3$ |
$49.5800061647$ |
$80.47981113297918$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$4$ |
$18848.03411238202$ |
10.0.116446446134944919.1 |
$x^{10} - x^{9} + 150 x^{8} - 120 x^{7} + 8940 x^{6} - 5342 x^{5} + 264720 x^{4} - 103925 x^{3} + 3892292 x^{2} - 765661 x + 22707871$ |
$10$ |
[0,5] |
$-\,7^{5}\cdot 17^{5}\cdot 47^{4}$ |
$3$ |
$50.8876767535$ |
$74.78636239315294$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[10]$ |
$2$ |
$4$ |
$2232.4026982970654$ |
10.0.133799511432265591.1 |
$x^{10} - 4 x^{9} + 31 x^{8} - 73 x^{7} + 242 x^{6} - 529 x^{5} + 1966 x^{4} - 4911 x^{3} + 16327 x^{2} - 15540 x + 8125$ |
$10$ |
[0,5] |
$-\,11^{4}\cdot 17^{5}\cdot 23^{5}$ |
$3$ |
$51.5994951803$ |
$134.6488122540569$ |
|
|
? |
$D_5\times C_5$ (as 10T6) |
$[14]$ |
$2$ |
$4$ |
$10536.5347088$ |
10.10.138...000.1 |
$x^{10} - 2 x^{9} - 28 x^{8} + 54 x^{7} + 222 x^{6} - 320 x^{5} - 781 x^{4} + 496 x^{3} + 1192 x^{2} + 186 x - 179$ |
$10$ |
[10,0] |
$2^{10}\cdot 3^{5}\cdot 5^{8}\cdot 17^{5}$ |
$4$ |
$51.7596209462$ |
$187.57160330727297$ |
|
|
? |
$D_5\times C_5$ (as 10T6) |
$[2]$ |
$2$ |
$9$ |
$142715.404658$ |
10.2.140391134033203125.2 |
$x^{10} - 5 x^{9} + 25 x^{8} + 55 x^{7} - 365 x^{6} + 1438 x^{5} + 1560 x^{4} - 14370 x^{3} + 2475 x^{2} + 41670 x + 11151$ |
$10$ |
[2,4] |
$3^{4}\cdot 5^{13}\cdot 17^{5}$ |
$3$ |
$51.8482339664$ |
$57.86901546263599$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$190679.39415760926$ |
10.0.161733514621356667.1 |
$x^{10} - 2 x^{9} + 8 x^{8} - 79 x^{7} + 11 x^{6} + 836 x^{5} + 282 x^{4} - 5382 x^{3} + 8209 x^{2} - 26290 x + 41459$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 17^{5}\cdot 29^{4}$ |
$3$ |
$52.5871945467$ |
$73.64102117705865$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$4$ |
$31464.47059570473$ |
10.2.304270745001803125.1 |
$x^{10} - 2 x^{9} - 45 x^{8} + 124 x^{7} + 783 x^{6} - 2595 x^{5} - 6156 x^{4} + 26030 x^{3} + 15555 x^{2} - 129279 x + 112769$ |
$10$ |
[2,4] |
$5^{5}\cdot 7^{4}\cdot 13^{4}\cdot 17^{5}$ |
$4$ |
$56.0177962737$ |
$87.94884877018005$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$46420.31547136679$ |
10.0.354211783270070931.1 |
$x^{10} - 3 x^{9} + 67 x^{8} - 160 x^{7} + 1778 x^{6} - 2926 x^{5} + 22821 x^{4} - 20511 x^{3} + 142175 x^{2} - 49642 x + 362812$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 17^{5}\cdot 179^{4}$ |
$3$ |
$56.8756404973$ |
$95.54580053565934$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$4$ |
$53335.70075979619$ |
10.10.357...016.1 |
$x^{10} - 4 x^{9} - 28 x^{8} + 90 x^{7} + 306 x^{6} - 650 x^{5} - 1403 x^{4} + 1806 x^{3} + 2092 x^{2} - 2006 x - 251$ |
$10$ |
[10,0] |
$2^{10}\cdot 7^{5}\cdot 11^{4}\cdot 17^{5}$ |
$4$ |
$56.9325387516$ |
$148.56538217522004$ |
|
|
? |
$D_5\times C_5$ (as 10T6) |
$[2]$ |
$2$ |
$9$ |
$108985.793504$ |
10.0.425979043002524375.1 |
$x^{10} - 2 x^{9} + 14 x^{8} - 111 x^{7} + 441 x^{6} - 1336 x^{5} + 5364 x^{4} - 6422 x^{3} + 9136 x^{2} - 7895 x + 14975$ |
$10$ |
[0,5] |
$-\,5^{4}\cdot 7^{5}\cdot 13^{4}\cdot 17^{5}$ |
$4$ |
$57.934708128$ |
$87.94884877018005$ |
|
|
|
$D_{10}$ (as 10T3) |
$[10]$ |
$2$ |
$4$ |
$10003.777081326925$ |
10.2.426388356729031213.1 |
$x^{10} - 3 x^{9} - 14 x^{8} + 73 x^{7} - 380 x^{6} + 1903 x^{5} - 6389 x^{4} + 19528 x^{3} - 55515 x^{2} + 107998 x - 93621$ |
$10$ |
[2,4] |
$11^{4}\cdot 17^{5}\cdot 29^{5}$ |
$3$ |
$57.9402725388$ |
$73.64102117705865$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$148185.4279549506$ |
10.2.499394238262553125.1 |
$x^{10} - x^{9} - 103 x^{8} + 84 x^{7} + 4368 x^{6} - 2604 x^{5} - 95511 x^{4} + 34767 x^{3} + 1072787 x^{2} - 180224 x - 4908329$ |
$10$ |
[2,4] |
$5^{5}\cdot 17^{5}\cdot 103^{4}$ |
$3$ |
$58.8632656865$ |
$93.56815697661251$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$86583.9172639606$ |
10.0.595146407909049887.1 |
$x^{10} - 24 x^{7} - 134 x^{6} - 56 x^{5} + 671 x^{4} + 2662 x^{3} + 418 x^{2} - 1518 x + 13959$ |
$10$ |
[0,5] |
$-\,11^{4}\cdot 17^{5}\cdot 31^{5}$ |
$3$ |
$59.9049047091$ |
$156.32176708486168$ |
|
|
|
$D_5\times C_5$ (as 10T6) |
$[18]$ |
$2$ |
$4$ |
$16721.9460662$ |
10.10.951...125.1 |
$x^{10} - 3 x^{9} - 111 x^{8} + 272 x^{7} + 4630 x^{6} - 8692 x^{5} - 89844 x^{4} + 115023 x^{3} + 806969 x^{2} - 527525 x - 2697619$ |
$10$ |
[10,0] |
$5^{5}\cdot 11^{8}\cdot 17^{5}$ |
$3$ |
$62.7803324254$ |
$62.780332425377665$ |
|
✓ |
? |
$C_{10}$ (as 10T1) |
$[2]$ |
$2$ |
$9$ |
$169475.990818$ |
10.0.101...875.1 |
$x^{10} - 4 x^{9} + 48 x^{8} + 40 x^{7} + 3607 x^{6} - 622 x^{5} + 71794 x^{4} + 289296 x^{3} + 3507339 x^{2} - 13770605 x + 215932795$ |
$10$ |
[0,5] |
$-\,5^{5}\cdot 17^{5}\cdot 47^{5}$ |
$3$ |
$63.2060123722$ |
$63.20601237224193$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2, 14]$ |
$2$ |
$4$ |
$2477.6319988018627$ |
10.10.108...125.1 |
$x^{10} - 90 x^{8} - 20 x^{7} + 2175 x^{6} + 1341 x^{5} - 15150 x^{4} - 4345 x^{3} + 34365 x^{2} - 8575 x - 2401$ |
$10$ |
[10,0] |
$5^{17}\cdot 17^{5}$ |
$2$ |
$63.6023947644$ |
$63.602394764436674$ |
|
✓ |
|
$C_{10}$ (as 10T1) |
$[2]$ |
$2$ |
$9$ |
$826651.221866$ |
10.0.111...467.1 |
$x^{10} - x^{9} + 235 x^{8} - 188 x^{7} + 21996 x^{6} - 13162 x^{5} + 1025164 x^{4} - 405709 x^{3} + 23786185 x^{2} - 4695959 x + 219691631$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 17^{5}\cdot 47^{4}$ |
$3$ |
$63.7910787527$ |
$93.74966666607408$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$4$ |
$25409.356590500804$ |
10.2.172...344.1 |
$x^{10} - 4 x^{9} - 247 x^{8} + 806 x^{7} + 24794 x^{6} - 61304 x^{5} - 1264905 x^{4} + 2087434 x^{3} + 32784277 x^{2} - 26779284 x - 345033155$ |
$10$ |
[2,4] |
$2^{10}\cdot 3^{5}\cdot 17^{5}\cdot 47^{4}$ |
$4$ |
$66.627608761$ |
$97.91833331914918$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$96135.98763860835$ |
10.10.240...737.1 |
$x^{10} - 2 x^{9} - 42 x^{8} + 84 x^{7} + 253 x^{6} - 541 x^{5} + 119 x^{4} + 166 x^{3} - 32 x^{2} - 6 x + 1$ |
$10$ |
[10,0] |
$11^{4}\cdot 17^{5}\cdot 41^{5}$ |
$3$ |
$68.8927408359$ |
$179.77551319191275$ |
|
|
? |
$D_5\times C_5$ (as 10T6) |
$[6]$ |
$2$ |
$9$ |
$80502.0237982$ |
10.10.342...488.1 |
$x^{10} - 187 x^{8} + 12716 x^{6} - 378301 x^{4} + 4593655 x^{2} - 15618427$ |
$10$ |
[10,0] |
$2^{10}\cdot 11^{9}\cdot 17^{5}$ |
$3$ |
$71.3687142899$ |
$71.3687142898531$ |
|
✓ |
? |
$C_{10}$ (as 10T1) |
$[2]$ |
$2$ |
$9$ |
$556257.313338$ |
10.2.395...625.2 |
$x^{10} - x^{9} - 61 x^{8} + 163 x^{7} + 1441 x^{6} - 7040 x^{5} - 5179 x^{4} + 77155 x^{3} - 133895 x^{2} + 130300 x - 186125$ |
$10$ |
[2,4] |
$5^{5}\cdot 7^{4}\cdot 13^{5}\cdot 17^{5}$ |
$4$ |
$72.3969641294$ |
$87.94884877018005$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2, 2]$ |
$2$ |
$5$ |
$109545.21455449503$ |
10.2.399...493.1 |
$x^{10} - 4 x^{9} - 120 x^{8} + 424 x^{7} + 8109 x^{6} - 19780 x^{5} - 279242 x^{4} + 383604 x^{3} + 5139441 x^{2} - 4481631 x - 31925763$ |
$10$ |
[2,4] |
$3^{5}\cdot 17^{5}\cdot 103^{5}$ |
$3$ |
$72.4775827411$ |
$72.47758274114831$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$136155.85010495863$ |
10.2.416...125.2 |
$x^{10} - 5 x^{9} - 65 x^{8} + 250 x^{7} + 2180 x^{6} - 6828 x^{5} - 25125 x^{4} + 29505 x^{3} + 156905 x^{2} + 232750 x + 155036$ |
$10$ |
[2,4] |
$5^{13}\cdot 7^{4}\cdot 17^{5}$ |
$3$ |
$72.765360002$ |
$88.39638125003313$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$755141.1140280436$ |
10.0.511...719.1 |
$x^{10} - 2 x^{9} - 7 x^{8} - 151 x^{7} + 82 x^{6} + 606 x^{5} + 10415 x^{4} + 29484 x^{3} + 80336 x^{2} + 113712 x + 93776$ |
$10$ |
[0,5] |
$-\,7^{5}\cdot 11^{8}\cdot 17^{5}$ |
$3$ |
$74.2826910876$ |
$74.28269108761002$ |
|
|
|
$D_5\times C_5$ (as 10T6) |
$[50]$ |
$2$ |
$4$ |
$45344.403693$ |
10.0.511...719.2 |
$x^{10} - 2 x^{9} - 7 x^{8} + 190 x^{7} - 556 x^{6} + 540 x^{5} + 8963 x^{4} - 39002 x^{3} + 117923 x^{2} - 171210 x + 250317$ |
$10$ |
[0,5] |
$-\,7^{5}\cdot 11^{8}\cdot 17^{5}$ |
$3$ |
$74.2826910876$ |
$74.28269108761002$ |
|
|
|
$D_5\times C_5$ (as 10T6) |
$[50]$ |
$2$ |
$4$ |
$45472.92481$ |
10.0.511...719.3 |
$x^{10} - 3 x^{9} + 144 x^{8} - 340 x^{7} + 8710 x^{6} - 15220 x^{5} + 275214 x^{4} - 317253 x^{3} + 4538792 x^{2} - 2590985 x + 31306529$ |
$10$ |
[0,5] |
$-\,7^{5}\cdot 11^{8}\cdot 17^{5}$ |
$3$ |
$74.2826910876$ |
$74.28269108761002$ |
✓ |
✓ |
? |
$C_{10}$ (as 10T1) |
$[3550]$ |
$2$ |
$4$ |
$26.1711060094$ |
10.2.547...193.1 |
$x^{10} - 4 x^{9} - 54 x^{8} - 62 x^{7} + 8605 x^{6} - 3682 x^{5} - 218855 x^{4} - 832500 x^{3} + 11929683 x^{2} - 50868362 x - 1049419229$ |
$10$ |
[2,4] |
$7^{5}\cdot 17^{5}\cdot 47^{5}$ |
$3$ |
$74.7863623932$ |
$74.78636239315294$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$119873.93699981837$ |
10.0.553...875.1 |
$x^{10} - x^{9} + 55 x^{8} + 111 x^{7} + 1199 x^{6} + 4208 x^{5} + 36189 x^{4} + 6203 x^{3} + 654186 x^{2} - 180985 x + 3639923$ |
$10$ |
[0,5] |
$-\,5^{4}\cdot 7^{5}\cdot 13^{5}\cdot 17^{5}$ |
$4$ |
$74.8743660978$ |
$87.94884877018005$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2, 6]$ |
$2$ |
$4$ |
$21010.869086088678$ |
10.0.582...375.2 |
$x^{10} + 30 x^{8} - 115 x^{7} - 90 x^{6} - 1144 x^{5} + 17175 x^{4} - 69860 x^{3} + 148330 x^{2} - 172725 x + 97510$ |
$10$ |
[0,5] |
$-\,5^{12}\cdot 7^{5}\cdot 17^{5}$ |
$3$ |
$75.2553683645$ |
$88.39638125003313$ |
|
|
|
$D_{10}$ (as 10T3) |
$[10]$ |
$2$ |
$4$ |
$341793.6937148357$ |
10.2.113...157.1 |
$x^{10} - 22 x^{8} - 37 x^{7} - 1682 x^{6} + 7576 x^{5} - 253478 x^{4} + 501803 x^{3} - 6708562 x^{2} + 652131 x - 33398759$ |
$10$ |
[2,4] |
$3^{5}\cdot 17^{5}\cdot 127^{5}$ |
$3$ |
$80.479811133$ |
$80.47981113297918$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$285562.225063167$ |
10.0.375...047.2 |
$x^{10} - x^{9} + 126 x^{8} + 140 x^{7} + 3959 x^{6} + 9931 x^{5} + 51875 x^{4} + 157846 x^{3} + 299399 x^{2} + 677020 x + 795857$ |
$10$ |
[0,5] |
$-\,17^{5}\cdot 31^{9}$ |
$2$ |
$90.6671543129$ |
$90.66715431291931$ |
✓ |
✓ |
? |
$C_{10}$ (as 10T1) |
$[738]$ |
$2$ |
$4$ |
$485.913224212$ |
10.0.514...875.2 |
$x^{10} - 4 x^{9} + 220 x^{8} - 732 x^{7} + 24803 x^{6} - 55922 x^{5} + 1373600 x^{4} - 1712802 x^{3} + 40038469 x^{2} - 32715163 x + 467780839$ |
$10$ |
[0,5] |
$-\,5^{5}\cdot 17^{5}\cdot 103^{5}$ |
$3$ |
$93.5681569766$ |
$93.56815697661251$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2, 10]$ |
$2$ |
$4$ |
$39189.81015361561$ |
10.2.524...949.1 |
$x^{10} - 4 x^{9} - 88 x^{8} - 96 x^{7} + 20675 x^{6} - 8170 x^{5} - 838250 x^{4} - 3207468 x^{3} + 74044555 x^{2} - 312018197 x - 10214621953$ |
$10$ |
[2,4] |
$11^{5}\cdot 17^{5}\cdot 47^{5}$ |
$3$ |
$93.7496666661$ |
$93.74966666607408$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[6]$ |
$2$ |
$5$ |
$168211.75558763996$ |
10.0.526...875.2 |
$x^{10} + 70 x^{8} - 50 x^{7} + 1645 x^{6} - 1800 x^{5} + 16600 x^{4} - 12250 x^{3} + 32090 x^{2} - 10500 x + 35101$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 5^{16}\cdot 17^{5}$ |
$3$ |
$93.7858016536$ |
$93.78580165363648$ |
|
|
? |
$D_5\times C_5$ (as 10T6) |
$[5, 10]$ |
$2$ |
$4$ |
$12750.4172436$ |
10.0.526...875.3 |
$x^{10} - 5 x^{9} + 55 x^{8} - 180 x^{7} + 1520 x^{6} - 4194 x^{5} + 28450 x^{4} - 60765 x^{3} + 300685 x^{2} - 343045 x + 1254193$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 5^{16}\cdot 17^{5}$ |
$3$ |
$93.7858016536$ |
$93.78580165363648$ |
✓ |
✓ |
? |
$C_{10}$ (as 10T1) |
$[5, 310]$ |
$2$ |
$4$ |
$257.113789169$ |
10.2.634...649.1 |
$x^{10} - 2 x^{9} - 77 x^{8} - 176 x^{7} + 3580 x^{6} + 13838 x^{5} - 60003 x^{4} - 452978 x^{3} - 299793 x^{2} - 14107370 x - 232834364$ |
$10$ |
[2,4] |
$3^{5}\cdot 17^{5}\cdot 179^{5}$ |
$3$ |
$95.5458005357$ |
$95.54580053565934$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$3589496.716665954$ |
10.10.757...144.1 |
$x^{10} - 2 x^{9} - 262 x^{8} + 422 x^{7} + 26638 x^{6} - 32162 x^{5} - 1311529 x^{4} + 1046444 x^{3} + 31235106 x^{2} - 12245208 x - 287762399$ |
$10$ |
[10,0] |
$2^{10}\cdot 3^{5}\cdot 11^{8}\cdot 17^{5}$ |
$4$ |
$97.2588727811$ |
$97.25887278114128$ |
|
✓ |
? |
$C_{10}$ (as 10T1) |
$[2]$ |
$2$ |
$9$ |
$958270.006874$ |
10.0.810...168.1 |
$x^{10} + 102 x^{8} + 23409 x^{6} + 1061208 x^{4} + 108243216 x^{2} + 16216186797$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 3^{5}\cdot 17^{5}\cdot 47^{5}$ |
$4$ |
$97.9183333191$ |
$97.91833331914918$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2, 2, 8]$ |
$2$ |
$4$ |
$20876.11785903589$ |