| 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 |
| 10.0.875489472034463.1 |
$x^{10} - x^{9} + 34 x^{8} - 34 x^{7} + 430 x^{6} - 430 x^{5} + 2509 x^{4} - 2509 x^{3} + 6964 x^{2} - 6964 x + 9637$ |
$10$ |
[0,5] |
$-\,11^{9}\cdot 13^{5}$ |
$2$ |
$31.2050650894$ |
$31.205065089432022$ |
✓ |
✓ |
? |
$C_{10}$ (as 10T1) |
$[50]$ |
$2$ |
$4$ |
$26.1711060094$ |
| 10.0.875489472034463.2 |
$x^{10} - 2 x^{9} + 15 x^{8} - 30 x^{7} + 49 x^{6} - 98 x^{5} + 97 x^{4} + 114 x^{3} + 80 x^{2} + 16 x + 1$ |
$10$ |
[0,5] |
$-\,11^{9}\cdot 13^{5}$ |
$2$ |
$31.2050650894$ |
$31.205065089432022$ |
|
|
|
$D_5\times C_5$ (as 10T6) |
$[50]$ |
$2$ |
$4$ |
$200.17550123$ |
| 10.0.875489472034463.3 |
$x^{10} - 2 x^{9} + 4 x^{8} - 8 x^{7} + 38 x^{6} + 12 x^{5} + 20 x^{4} - 216 x^{3} + 113 x^{2} + 214 x + 848$ |
$10$ |
[0,5] |
$-\,11^{9}\cdot 13^{5}$ |
$2$ |
$31.2050650894$ |
$31.205065089432022$ |
|
|
|
$D_5\times C_5$ (as 10T6) |
$[50]$ |
$2$ |
$4$ |
$1381.16668413$ |
| 10.0.2437625566796875.1 |
$x^{10} - 3 x^{9} + 11 x^{8} - 30 x^{7} + 41 x^{6} - 78 x^{5} + 253 x^{4} - 556 x^{3} + 725 x^{2} - 546 x + 217$ |
$10$ |
[0,5] |
$-\,5^{8}\cdot 7^{5}\cdot 13^{5}$ |
$3$ |
$34.5697866786$ |
$125.27739181161667$ |
|
|
? |
$D_5\times C_5$ (as 10T6) |
$[2]$ |
$2$ |
$4$ |
$3619.26768439$ |
| 10.0.4128039054871875.1 |
$x^{10} - 3 x^{9} + x^{8} - 13 x^{7} + 60 x^{6} - 274 x^{5} + 899 x^{4} - 1952 x^{3} + 3554 x^{2} - 3173 x + 2911$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 5^{5}\cdot 11^{4}\cdot 13^{5}$ |
$4$ |
$36.4396653369$ |
$95.0892569667159$ |
|
|
? |
$D_5\times C_5$ (as 10T6) |
$[2, 2]$ |
$2$ |
$4$ |
$705.53569787$ |
| 10.0.4752550400000000.1 |
$x^{10} - 4 x^{9} + 8 x^{8} - 46 x^{7} + 151 x^{6} - 280 x^{5} + 445 x^{4} + 360 x^{3} + 355 x^{2} - 30 x + 25$ |
$10$ |
[0,5] |
$-\,2^{15}\cdot 5^{8}\cdot 13^{5}$ |
$3$ |
$36.9566564815$ |
$133.9271652764882$ |
|
|
|
$D_5\times C_5$ (as 10T6) |
$[6]$ |
$2$ |
$4$ |
$1847.29389953$ |
| 10.0.5763067906748971.1 |
$x^{10} - 2 x^{9} + 16 x^{8} - 51 x^{7} + 126 x^{6} - 391 x^{5} + 744 x^{4} - 1023 x^{3} + 1396 x^{2} - 1242 x + 659$ |
$10$ |
[0,5] |
$-\,7^{5}\cdot 13^{5}\cdot 31^{4}$ |
$3$ |
$37.6760507907$ |
$148.8024395137927$ |
|
|
? |
$D_5\times C_5$ (as 10T6) |
$[2]$ |
$2$ |
$4$ |
$1253.48290793$ |
| 10.0.11236045050773504.1 |
$x^{10} - 2 x^{9} + 15 x^{8} - 22 x^{7} + 115 x^{6} - 184 x^{5} + 206 x^{4} + 6 x^{3} + 965 x^{2} + 2650 x + 1875$ |
$10$ |
[0,5] |
$-\,2^{15}\cdot 13^{5}\cdot 31^{4}$ |
$3$ |
$40.2773924988$ |
$159.0764991362186$ |
|
|
|
$D_5\times C_5$ (as 10T6) |
$[6]$ |
$2$ |
$4$ |
$31845.4192374$ |
| 10.0.17395522601600000.1 |
$x^{10} - 2 x^{9} + 24 x^{8} - 58 x^{7} - 8 x^{6} + 358 x^{5} - 385 x^{4} - 814 x^{3} + 2684 x^{2} - 1848 x + 649$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 5^{5}\cdot 11^{4}\cdot 13^{5}$ |
$4$ |
$42.0769011829$ |
$109.79961621354983$ |
|
|
? |
$D_5\times C_5$ (as 10T6) |
$[2, 4]$ |
$2$ |
$4$ |
$671.585525769$ |
| 10.0.17633656983699211.1 |
$x^{10} - 3 x^{9} + 8 x^{8} - 24 x^{7} + 95 x^{6} - 102 x^{5} + 409 x^{4} - 348 x^{3} + 936 x^{2} + 162 x + 729$ |
$10$ |
[0,5] |
$-\,7^{5}\cdot 13^{5}\cdot 41^{4}$ |
$3$ |
$42.1341501758$ |
$186.10060351837788$ |
|
|
|
$D_5\times C_5$ (as 10T6) |
$[22]$ |
$2$ |
$4$ |
$511.811618213$ |
| 10.10.22201584766474113.1 |
$x^{10} - 2 x^{9} - 29 x^{8} + 39 x^{7} + 285 x^{6} - 193 x^{5} - 1094 x^{4} + 282 x^{3} + 1581 x^{2} - 30 x - 584$ |
$10$ |
[10,0] |
$3^{5}\cdot 7^{5}\cdot 11^{4}\cdot 13^{5}$ |
$4$ |
$43.1159934805$ |
$112.51112614615043$ |
|
|
|
$D_5\times C_5$ (as 10T6) |
$[2]$ |
$2$ |
$9$ |
$723946.020848$ |
| 10.0.22802034202148864.1 |
$x^{10} - 2 x^{9} - 3 x^{8} - 32 x^{7} - 73 x^{6} + 46 x^{5} + 1703 x^{4} + 5380 x^{3} + 9396 x^{2} + 11968 x + 10144$ |
$10$ |
[0,5] |
$-\,2^{15}\cdot 13^{5}\cdot 37^{4}$ |
$3$ |
$43.2312068233$ |
$62.03224967708329$ |
|
|
|
$D_{10}$ (as 10T3) |
$[6]$ |
$2$ |
$4$ |
$46109.38534700439$ |
| 10.2.45193413827290625.1 |
$x^{10} - x^{9} - 84 x^{8} + 64 x^{7} + 2726 x^{6} - 1696 x^{5} - 42592 x^{4} + 21309 x^{3} + 319250 x^{2} - 108735 x - 912591$ |
$10$ |
[2,4] |
$5^{5}\cdot 13^{5}\cdot 79^{4}$ |
$3$ |
$46.2921673898$ |
$71.65891430938652$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$17099.218958712336$ |
| 10.2.55065444934540625.1 |
$x^{10} - 4 x^{9} - 27 x^{8} + 117 x^{7} + 329 x^{6} - 1800 x^{5} - 1005 x^{4} + 7775 x^{3} + 16825 x^{2} - 7125 x - 129125$ |
$10$ |
[2,4] |
$5^{5}\cdot 13^{5}\cdot 83^{4}$ |
$3$ |
$47.2158611788$ |
$73.45066371381542$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$45712.67509969046$ |
| 10.10.93557295476829184.1 |
$x^{10} - 34 x^{8} - 70 x^{7} + 150 x^{6} + 440 x^{5} - 143 x^{4} - 858 x^{3} - 110 x^{2} + 528 x + 121$ |
$10$ |
[10,0] |
$2^{10}\cdot 7^{5}\cdot 11^{4}\cdot 13^{5}$ |
$4$ |
$49.7860608847$ |
$129.91665793461578$ |
|
|
? |
$D_5\times C_5$ (as 10T6) |
$[2]$ |
$2$ |
$9$ |
$238926.109666$ |
| 10.2.105459408184938496.1 |
$x^{10} - 3 x^{9} - 7 x^{8} + 59 x^{7} - 373 x^{6} + 689 x^{5} + 611 x^{4} - 15395 x^{3} + 12332 x^{2} + 32026 x - 82612$ |
$10$ |
[2,4] |
$2^{12}\cdot 13^{5}\cdot 37^{5}$ |
$3$ |
$50.3858434516$ |
$62.03224967708329$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$667301.4326472359$ |
| 10.2.130591732059790625.1 |
$x^{10} - x^{9} - 78 x^{8} + 64 x^{7} + 2528 x^{6} - 1504 x^{5} - 42691 x^{4} + 14967 x^{3} + 373202 x^{2} - 59874 x - 1331199$ |
$10$ |
[2,4] |
$5^{5}\cdot 13^{5}\cdot 103^{4}$ |
$3$ |
$51.474432611$ |
$81.82297965730655$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$22767.345121437476$ |
| 10.0.155630951026599763.1 |
$x^{10} + 9 x^{8} - 4 x^{7} + 184 x^{6} + 482 x^{5} + 2101 x^{4} + 3333 x^{3} + 6138 x^{2} + 4466 x + 2453$ |
$10$ |
[0,5] |
$-\,11^{4}\cdot 13^{5}\cdot 31^{5}$ |
$3$ |
$52.3853195122$ |
$136.69941977563911$ |
|
|
? |
$D_5\times C_5$ (as 10T6) |
$[2]$ |
$2$ |
$4$ |
$6139.55198472$ |
| 10.10.212...509.1 |
$x^{10} - x^{9} - 109 x^{8} + 109 x^{7} + 4291 x^{6} - 4291 x^{5} - 72709 x^{4} + 72709 x^{3} + 477291 x^{2} - 477291 x - 622709$ |
$10$ |
[10,0] |
$3^{5}\cdot 11^{9}\cdot 13^{5}$ |
$3$ |
$54.0487581884$ |
$54.04875818839011$ |
|
✓ |
? |
$C_{10}$ (as 10T1) |
$[2]$ |
$2$ |
$9$ |
$73083.1587815$ |
| 10.0.243061025982487531.1 |
$x^{10} - x^{9} + 111 x^{8} - 92 x^{7} + 5066 x^{6} - 2944 x^{5} + 118634 x^{4} - 37815 x^{3} + 1422989 x^{2} - 163023 x + 6985377$ |
$10$ |
[0,5] |
$-\,7^{5}\cdot 13^{5}\cdot 79^{4}$ |
$3$ |
$54.7736311221$ |
$84.78797084492588$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$4$ |
$21241.92867482954$ |
| 10.10.248...625.1 |
$x^{10} - 3 x^{9} - 86 x^{8} + 212 x^{7} + 2730 x^{6} - 5192 x^{5} - 39334 x^{4} + 51483 x^{3} + 254674 x^{2} - 171845 x - 598289$ |
$10$ |
[10,0] |
$5^{5}\cdot 11^{8}\cdot 13^{5}$ |
$3$ |
$54.8998081068$ |
$54.89980810677491$ |
|
✓ |
? |
$C_{10}$ (as 10T1) |
$[2]$ |
$2$ |
$9$ |
$79045.7488421$ |
| 10.2.265575023740040625.1 |
$x^{10} - 3 x^{9} - 15 x^{8} + 114 x^{7} - 85 x^{6} - 1089 x^{5} + 4512 x^{4} - 1845 x^{3} - 24161 x^{2} + 56565 x - 38385$ |
$10$ |
[2,4] |
$3^{4}\cdot 5^{5}\cdot 13^{5}\cdot 41^{4}$ |
$4$ |
$55.2609978721$ |
$89.41476388158725$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$58736.004100525606$ |
| 10.10.283...625.1 |
$x^{10} - 70 x^{8} - 15 x^{7} + 1340 x^{6} + 781 x^{5} - 7625 x^{4} - 2510 x^{3} + 14305 x^{2} - 1855 x - 2401$ |
$10$ |
[10,0] |
$5^{17}\cdot 13^{5}$ |
$2$ |
$55.6186807684$ |
$55.61868076836507$ |
|
✓ |
|
$C_{10}$ (as 10T1) |
$[2]$ |
$2$ |
$9$ |
$407772.824658$ |
| 10.2.301843388096290625.1 |
$x^{10} - 3 x^{9} - 82 x^{8} + 204 x^{7} + 2592 x^{6} - 4914 x^{5} - 38970 x^{4} + 48969 x^{3} + 281714 x^{2} - 168195 x - 822065$ |
$10$ |
[2,4] |
$5^{5}\cdot 13^{5}\cdot 127^{4}$ |
$3$ |
$55.9729461496$ |
$90.85703054799887$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$52470.94398762371$ |
| 10.2.341705497399540625.1 |
$x^{10} - 3 x^{9} - 74 x^{8} + 184 x^{7} + 2346 x^{6} - 4462 x^{5} - 39505 x^{4} + 49509 x^{3} + 353668 x^{2} - 228304 x - 1339256$ |
$10$ |
[2,4] |
$5^{5}\cdot 13^{5}\cdot 131^{4}$ |
$3$ |
$56.6715637762$ |
$92.27675763701279$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$192627.27278571954$ |
| 10.2.364832547234381824.1 |
$x^{10} - 2 x^{9} + 11 x^{8} - 156 x^{7} + 573 x^{6} - 2082 x^{5} - 5725 x^{4} - 41012 x^{3} - 91476 x^{2} - 117344 x - 126376$ |
$10$ |
[2,4] |
$2^{19}\cdot 13^{5}\cdot 37^{4}$ |
$3$ |
$57.0439193956$ |
$87.72684879784524$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$188563.4261392154$ |
| 10.0.473887290973650944.1 |
$x^{10} - 2 x^{9} + 133 x^{8} - 214 x^{7} + 6979 x^{6} - 8176 x^{5} + 179230 x^{4} - 130534 x^{3} + 2263833 x^{2} - 735650 x + 11477259$ |
$10$ |
[0,5] |
$-\,2^{15}\cdot 13^{5}\cdot 79^{4}$ |
$3$ |
$58.555474711$ |
$90.64215354899729$ |
|
|
|
$D_{10}$ (as 10T3) |
$[6]$ |
$2$ |
$4$ |
$22657.173792080663$ |
| 10.2.473887290973650944.1 |
$x^{10} - 2 x^{9} - 127 x^{8} + 202 x^{7} + 6563 x^{6} - 8072 x^{5} - 171094 x^{4} + 149434 x^{3} + 2264041 x^{2} - 1086858 x - 12391209$ |
$10$ |
[2,4] |
$2^{15}\cdot 13^{5}\cdot 79^{4}$ |
$3$ |
$58.555474711$ |
$90.64215354899729$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$40599.39747664933$ |
| 10.2.577403039876808704.1 |
$x^{10} - 4 x^{9} + 96 x^{7} - 205 x^{6} - 384 x^{5} + 3252 x^{4} - 1840 x^{3} - 8420 x^{2} + 18912 x - 12704$ |
$10$ |
[2,4] |
$2^{15}\cdot 13^{5}\cdot 83^{4}$ |
$3$ |
$59.7238652046$ |
$92.90855719469548$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$1231501.350787124$ |
| 10.0.702353677033248331.1 |
$x^{10} - x^{9} + 117 x^{8} - 92 x^{7} + 5336 x^{6} - 3220 x^{5} + 118769 x^{4} - 50241 x^{3} + 1286231 x^{2} - 308616 x + 5377815$ |
$10$ |
[0,5] |
$-\,7^{5}\cdot 13^{5}\cdot 103^{4}$ |
$3$ |
$60.9053700233$ |
$96.81425514871248$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$4$ |
$48590.90553592982$ |
| 10.0.796725071220121875.1 |
$x^{10} - 3 x^{9} + 29 x^{8} + 44 x^{7} + 550 x^{6} + 461 x^{5} + 6685 x^{4} + 22920 x^{3} + 58383 x^{2} + 86796 x + 67779$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 5^{5}\cdot 13^{5}\cdot 41^{4}$ |
$4$ |
$61.6780803453$ |
$89.41476388158725$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2, 2]$ |
$2$ |
$4$ |
$20083.517091449194$ |
| 10.10.896...112.1 |
$x^{10} - 143 x^{8} + 7436 x^{6} - 169169 x^{4} + 1570855 x^{2} - 4084223$ |
$10$ |
[10,0] |
$2^{10}\cdot 11^{9}\cdot 13^{5}$ |
$3$ |
$62.4101301789$ |
$62.410130178864044$ |
|
✓ |
? |
$C_{10}$ (as 10T1) |
$[2]$ |
$2$ |
$9$ |
$206051.535636$ |
| 10.0.914086385913374375.1 |
$x^{10} - 2 x^{9} - 73 x^{8} - 41 x^{7} + 2009 x^{6} + 4034 x^{5} + 5427 x^{4} - 7447 x^{3} + 35511 x^{2} + 57141 x + 32815$ |
$10$ |
[0,5] |
$-\,5^{4}\cdot 13^{5}\cdot 83^{5}$ |
$3$ |
$62.5314823552$ |
$73.45066371381542$ |
|
|
|
$D_{10}$ (as 10T3) |
$[34]$ |
$2$ |
$4$ |
$16464.30091056949$ |
| 10.2.108...625.1 |
$x^{10} - 5 x^{9} - 50 x^{8} + 200 x^{7} + 1320 x^{6} - 4348 x^{5} - 11585 x^{4} + 19205 x^{3} + 54070 x^{2} + 62400 x + 55136$ |
$10$ |
[2,4] |
$5^{13}\cdot 7^{4}\cdot 13^{5}$ |
$3$ |
$63.6314614243$ |
$77.30039298100994$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$1048999.598681219$ |
| 10.0.133...331.1 |
$x^{10} - 3 x^{9} + 109 x^{8} - 256 x^{7} + 5070 x^{6} - 8780 x^{5} + 124700 x^{4} - 142113 x^{3} + 1619869 x^{2} - 911909 x + 8914201$ |
$10$ |
[0,5] |
$-\,7^{5}\cdot 11^{8}\cdot 13^{5}$ |
$3$ |
$64.9583289673$ |
$64.95832896730789$ |
✓ |
✓ |
? |
$C_{10}$ (as 10T1) |
$[2222]$ |
$2$ |
$4$ |
$26.1711060094$ |
| 10.0.152...875.1 |
$x^{10} + 20 x^{8} - 90 x^{7} - 70 x^{6} - 564 x^{5} + 9425 x^{4} - 34490 x^{3} + 63540 x^{2} - 64960 x + 34048$ |
$10$ |
[0,5] |
$-\,5^{12}\cdot 7^{5}\cdot 13^{5}$ |
$3$ |
$65.8089105713$ |
$77.30039298100994$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$4$ |
$377817.42175642605$ |
| 10.2.185...000.1 |
$x^{10} - 5 x^{9} - 45 x^{8} + 115 x^{7} + 915 x^{6} + 79 x^{5} - 7215 x^{4} - 7355 x^{3} + 34460 x^{2} + 42270 x - 46836$ |
$10$ |
[2,4] |
$2^{12}\cdot 5^{13}\cdot 13^{5}$ |
$3$ |
$67.1225854725$ |
$82.63759611369268$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$4807889.595625918$ |
| 10.4.190...000.1 |
$x^{10} - 5 x^{6} - 72 x^{5} - 400 x^{2} + 180 x + 646$ |
$10$ |
[4,3] |
$-\,2^{19}\cdot 5^{10}\cdot 13^{5}$ |
$3$ |
$67.2819658537$ |
$137.54601208523096$ |
|
|
? |
$(A_6 : C_2) : C_2$ (as 10T35) |
$[2]$ |
$2$ |
$6$ |
$800583.55027$ |
| 10.2.217...125.1 |
$x^{10} - 3 x^{9} + 11 x^{8} + 48 x^{7} + 146 x^{6} - 3412 x^{5} + 1699 x^{4} + 38918 x^{3} + 160285 x^{2} - 132719 x - 133337$ |
$10$ |
[2,4] |
$3^{4}\cdot 5^{4}\cdot 13^{5}\cdot 41^{5}$ |
$4$ |
$68.2024707721$ |
$89.41476388158725$ |
|
|
? |
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$63009.60953500672$ |
| 10.0.260...144.1 |
$x^{10} - 2 x^{9} + 123 x^{8} - 194 x^{7} + 6464 x^{6} - 7676 x^{5} + 180115 x^{4} - 145054 x^{3} + 2652783 x^{2} - 1100690 x + 16510339$ |
$10$ |
[0,5] |
$-\,2^{15}\cdot 11^{8}\cdot 13^{5}$ |
$3$ |
$69.4433746894$ |
$69.44337468943408$ |
✓ |
✓ |
? |
$C_{10}$ (as 10T1) |
$[1986]$ |
$2$ |
$4$ |
$26.1711060094$ |
| 10.10.260...144.1 |
$x^{10} - 2 x^{9} - 137 x^{8} + 222 x^{7} + 7088 x^{6} - 8612 x^{5} - 172029 x^{4} + 136994 x^{3} + 1949431 x^{2} - 748858 x - 8237449$ |
$10$ |
[10,0] |
$2^{15}\cdot 11^{8}\cdot 13^{5}$ |
$3$ |
$69.4433746894$ |
$69.44337468943408$ |
|
✓ |
? |
$C_{10}$ (as 10T1) |
$[2]$ |
$2$ |
$9$ |
$446577.490088$ |
| 10.0.297...000.1 |
$x^{10} + 20 x^{8} - 100 x^{7} - 530 x^{6} - 1252 x^{5} + 6600 x^{4} + 28980 x^{3} + 74385 x^{2} + 79380 x + 49572$ |
$10$ |
[0,5] |
$-\,2^{15}\cdot 5^{12}\cdot 13^{5}$ |
$3$ |
$70.3526846727$ |
$82.63759611369268$ |
|
|
|
$D_{10}$ (as 10T3) |
$[6]$ |
$2$ |
$4$ |
$1731654.0953805922$ |
| 10.0.357...375.1 |
$x^{10} - 2 x^{9} - 29 x^{8} - 102 x^{7} + 1755 x^{6} - 6012 x^{5} - 10020 x^{4} + 6642 x^{3} + 1252445 x^{2} - 15125686 x + 95002049$ |
$10$ |
[0,5] |
$-\,5^{5}\cdot 13^{5}\cdot 79^{5}$ |
$3$ |
$71.6589143094$ |
$71.65891430938652$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2, 28]$ |
$2$ |
$4$ |
$6158.61324365725$ |
| 10.0.388...087.1 |
$x^{10} - 2 x^{9} - 7 x^{8} + 28 x^{7} - 292 x^{6} - 238 x^{5} + 8601 x^{4} + 12710 x^{3} + 4771 x^{2} + 45816 x + 62001$ |
$10$ |
[0,5] |
$-\,11^{4}\cdot 13^{5}\cdot 59^{5}$ |
$3$ |
$72.2694510759$ |
$188.58703395487285$ |
|
|
|
$D_5\times C_5$ (as 10T6) |
$[22]$ |
$2$ |
$4$ |
$51118.7166694$ |
| 10.0.599...304.2 |
$x^{10} - 2 x^{9} + 29 x^{8} - 56 x^{7} + 725 x^{6} - 2394 x^{5} + 8711 x^{4} - 28028 x^{3} + 96982 x^{2} - 311800 x + 641208$ |
$10$ |
[0,5] |
$-\,2^{12}\cdot 13^{5}\cdot 83^{5}$ |
$3$ |
$75.4651982234$ |
$92.90855719469548$ |
|
|
|
$D_{10}$ (as 10T3) |
$[34]$ |
$2$ |
$4$ |
$532555.324311615$ |
| 10.0.653...375.1 |
$x^{10} - 4 x^{9} + 14 x^{8} + 19 x^{7} + 550 x^{6} - 2573 x^{5} + 10117 x^{4} - 27232 x^{3} + 108813 x^{2} - 387795 x + 635545$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 5^{4}\cdot 13^{5}\cdot 41^{5}$ |
$4$ |
$76.1223581552$ |
$89.41476388158725$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2, 18]$ |
$2$ |
$4$ |
$21154.90383545822$ |
| 10.0.674...744.1 |
$x^{10} - 4 x^{9} + 60 x^{8} + 64 x^{7} - 1376 x^{6} + 6280 x^{5} + 30912 x^{4} - 60880 x^{3} - 118908 x^{2} + 1076960 x + 3774928$ |
$10$ |
[0,5] |
$-\,2^{18}\cdot 13^{5}\cdot 37^{5}$ |
$3$ |
$76.3706576372$ |
$87.72684879784524$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2, 8]$ |
$2$ |
$4$ |
$81543.11523628827$ |
| 10.0.981...603.2 |
$x^{10} - x^{9} + 95 x^{8} + 109 x^{7} + 2223 x^{6} + 5777 x^{5} + 22921 x^{4} + 69651 x^{3} + 113058 x^{2} + 224482 x + 274933$ |
$10$ |
[0,5] |
$-\,13^{5}\cdot 31^{9}$ |
$2$ |
$79.28612642$ |
$79.28612641997611$ |
✓ |
✓ |
? |
$C_{10}$ (as 10T1) |
$[262]$ |
$2$ |
$4$ |
$485.913224212$ |
| 10.0.134...375.1 |
$x^{10} - 4 x^{9} + 170 x^{8} - 562 x^{7} + 14663 x^{6} - 32772 x^{5} + 618395 x^{4} - 762592 x^{3} + 13693339 x^{2} - 11108798 x + 124054449$ |
$10$ |
[0,5] |
$-\,5^{5}\cdot 13^{5}\cdot 103^{5}$ |
$3$ |
$81.8229796573$ |
$81.82297965730655$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2, 46]$ |
$2$ |
$4$ |
$8200.098117134065$ |
| 10.2.192...949.1 |
$x^{10} - 2 x^{9} + 49 x^{8} + 132 x^{7} + 1989 x^{6} - 10224 x^{5} + 59283 x^{4} - 167454 x^{3} - 1481923 x^{2} - 54049753 x - 461012137$ |
$10$ |
[2,4] |
$7^{5}\cdot 13^{5}\cdot 79^{5}$ |
$3$ |
$84.7879708449$ |
$84.78797084492588$ |
|
|
|
$D_{10}$ (as 10T3) |
$[2]$ |
$2$ |
$5$ |
$580392.9442850124$ |
