| 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 |
Unit signature rank |
Max $p$ |
| 10.6.710850152817581.1 |
$x^{10} - 29 x^{4} + 58 x^{2} - 29$ |
$10$ |
(6, 2) |
$7^{2}\cdot 29^{9}$ |
$2$ |
$30.5617209585$ |
$54.79074657171743$ |
|
|
? |
$S_5\times C_2$ (as 10T22) |
trivial |
trivial |
$2$ |
$7$ |
$6772.79593425$ |
$6$ |
$29$ |
| 10.2.1175078824045389.1 |
$x^{10} - x^{9} - x^{8} + 8 x^{7} - 71 x^{6} + 157 x^{5} - 349 x^{4} + 532 x^{3} - 932 x^{2} + 1008 x - 720$ |
$10$ |
(2, 4) |
$3^{4}\cdot 29^{9}$ |
$2$ |
$32.1371011717$ |
$35.868963364005324$ |
|
|
|
$D_{10}$ (as 10T3) |
trivial |
trivial |
$2$ |
$5$ |
$17717.8402795$ |
$2$ |
$29$ |
| 10.6.59421269917159424.1 |
$x^{10} - 3 x^{9} - 9 x^{8} + 42 x^{7} - 67 x^{6} + 335 x^{5} - 903 x^{4} - 402 x^{3} + 4322 x^{2} - 5396 x + 2084$ |
$10$ |
(6, 2) |
$2^{12}\cdot 29^{9}$ |
$2$ |
$47.5766865864$ |
$82.8358226150452$ |
|
|
|
$S_5\times C_2$ (as 10T22) |
trivial |
trivial |
$2$ |
$7$ |
$150803.86046$ |
$6$ |
$29$ |
| 10.2.59421269917159424.1 |
$x^{10} - 3 x^{9} - 9 x^{8} + 42 x^{7} + 107 x^{6} - 303 x^{5} - 555 x^{4} + 4 x^{3} - 260 x^{2} - 60 x - 4$ |
$10$ |
(2, 4) |
$2^{12}\cdot 29^{9}$ |
$2$ |
$47.5766865864$ |
$58.57377189626443$ |
|
|
|
$D_{10}$ (as 10T3) |
trivial |
trivial |
$2$ |
$5$ |
$90501.394769$ |
$2$ |
$29$ |
| 10.2.59421269917159424.2 |
$x^{10} - 5 x^{9} + 33 x^{8} - 102 x^{7} + 343 x^{6} - 693 x^{5} + 1311 x^{4} - 1576 x^{3} + 2253 x^{2} - 1565 x - 1321$ |
$10$ |
(2, 4) |
$2^{12}\cdot 29^{9}$ |
$2$ |
$47.5766865864$ |
$58.57377189626443$ |
|
|
|
$A_5\times C_2$ (as 10T11) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$18206.8597358$ |
$2$ |
$29$ |
| 10.2.212399124232698029.1 |
$x^{10} - x^{9} - x^{8} - 50 x^{7} + 45 x^{6} + 157 x^{5} - 407 x^{4} + 590 x^{3} + 4027 x^{2} + 5503 x + 2557$ |
$10$ |
(2, 4) |
$11^{4}\cdot 29^{9}$ |
$2$ |
$54.0399915165$ |
$68.68383570363534$ |
|
|
|
$D_{10}$ (as 10T3) |
trivial |
trivial |
$2$ |
$5$ |
$227282.798004$ |
$2$ |
$29$ |
| 10.2.226674155872953125.1 |
$x^{10} - 29 x^{8} + 290 x^{6} - 1015 x^{4} + 1450 x^{2} - 725$ |
$10$ |
(2, 4) |
$5^{6}\cdot 29^{9}$ |
$2$ |
$54.39264782476865$ |
$69.24456659819765$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
trivial |
trivial |
$2$ |
$5$ |
$168048.3002145645$ |
$2$ |
$29$ |
| 10.4.237685079668637696.1 |
$x^{10} - 2 x^{9} - 4 x^{8} + 64 x^{7} - 121 x^{6} - 22 x^{5} + 52 x^{4} + 4 x^{3} + 20 x^{2} + 128 x + 16$ |
$10$ |
(4, 3) |
$-\,2^{14}\cdot 29^{9}$ |
$2$ |
$54.651261618$ |
$82.8358226150452$ |
|
|
|
$C_2 \wr S_5$ (as 10T39) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$898190.318029$ |
$4$ |
$29$ |
| 10.0.237685079668637696.1 |
$x^{10} + 29 x^{8} + 58 x^{6} + 58 x^{4} - 87 x^{2} + 29$ |
$10$ |
(0, 5) |
$-\,2^{14}\cdot 29^{9}$ |
$2$ |
$54.651261618$ |
$69.65634629158409$ |
|
|
? |
$C_2 \wr A_5$ (as 10T36) |
$[6]$ |
$[6]$ |
$2$ |
$4$ |
$15960.8081914$ |
$0$ |
$29$ |
| 10.2.237685079668637696.1 |
$x^{10} - 29 x^{8} + 58 x^{6} - 58 x^{4} - 87 x^{2} - 29$ |
$10$ |
(2, 4) |
$2^{14}\cdot 29^{9}$ |
$2$ |
$54.651261618$ |
$69.65634629158409$ |
|
|
? |
$C_2 \wr A_5$ (as 10T36) |
$[6]$ |
$[6]$ |
$2$ |
$5$ |
$51247.2343338$ |
$2$ |
$29$ |
| 10.0.243821602416430283.1 |
$x^{10} - 4 x^{9} + 13 x^{8} - 68 x^{7} + 210 x^{6} - 414 x^{5} + 921 x^{4} - 1373 x^{3} + 3206 x^{2} - 2266 x + 3131$ |
$10$ |
(0, 5) |
$-\,7^{5}\cdot 29^{9}$ |
$2$ |
$54.7907465717$ |
$54.79074657171743$ |
|
|
? |
$S_5\times C_2$ (as 10T22) |
$[4]$ |
$[4]$ |
$2$ |
$4$ |
$18090.8734968$ |
$0$ |
$29$ |
| 10.2.414338596216794509.1 |
$x^{10} + 116 x^{6} - 261 x^{4} + 1798 x^{2} - 2349$ |
$10$ |
(2, 4) |
$13^{4}\cdot 29^{9}$ |
$2$ |
$57.7744126515$ |
$74.66720147094625$ |
|
|
|
$A_5\times C_2$ (as 10T11) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$67106.5711717$ |
$2$ |
$29$ |
| 10.2.734424265028368125.1 |
$x^{10} - 4 x^{9} - 16 x^{8} + 193 x^{7} - 863 x^{6} + 2022 x^{5} - 2936 x^{4} + 4340 x^{3} - 4885 x^{2} + 2200 x - 1625$ |
$10$ |
(2, 4) |
$3^{4}\cdot 5^{4}\cdot 29^{9}$ |
$3$ |
$61.1779192244$ |
$80.20544036436544$ |
|
|
|
$D_{10}$ (as 10T3) |
trivial |
trivial |
$2$ |
$5$ |
$389187.71899687947$ |
$2$ |
$29$ |
| 10.4.950740318674550784.1 |
$x^{10} + 116 x^{4} - 493 x^{2} + 464$ |
$10$ |
(4, 3) |
$-\,2^{16}\cdot 29^{9}$ |
$2$ |
$62.7778143191$ |
$139.31269258316817$ |
|
|
|
$C_2 \wr S_5$ (as 10T39) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$682289.913107$ |
$4$ |
$29$ |
| 10.0.950740318674550784.1 |
$x^{10} + 29 x^{8} + 290 x^{6} + 290 x^{4} + 145 x^{2} + 261$ |
$10$ |
(0, 5) |
$-\,2^{16}\cdot 29^{9}$ |
$2$ |
$62.7778143191$ |
$69.65634629158409$ |
|
|
|
$A_5\times C_2$ (as 10T11) |
$[6, 6]$ |
$[6, 6]$ |
$2$ |
$4$ |
$25440.5620174$ |
$0$ |
$29$ |
| 10.0.950740318674550784.2 |
$x^{10} - x^{9} - x^{8} + 95 x^{7} + 132 x^{6} - 568 x^{5} - 233 x^{4} + 3171 x^{3} + 2113 x^{2} - 2849 x + 3340$ |
$10$ |
(0, 5) |
$-\,2^{16}\cdot 29^{9}$ |
$2$ |
$62.7778143191$ |
$139.31269258316817$ |
|
|
|
$C_2\times (C_2^4 : D_5)$ (as 10T23) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$491519.121441$ |
$0$ |
$29$ |
| 10.4.950740318674550784.2 |
$x^{10} - 29 x^{8} + 116 x^{6} - 1421 x^{2} + 3509$ |
$10$ |
(4, 3) |
$-\,2^{16}\cdot 29^{9}$ |
$2$ |
$62.7778143191$ |
$139.31269258316817$ |
|
|
|
$C_2 \wr S_5$ (as 10T39) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$355528.016079$ |
$4$ |
$29$ |
| 10.2.950740318674550784.1 |
$x^{10} + 29 x^{8} + 319 x^{6} + 1595 x^{4} + 3016 x^{2} - 464$ |
$10$ |
(2, 4) |
$2^{16}\cdot 29^{9}$ |
$2$ |
$62.7778143191$ |
$82.8358226150452$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$298403.475256$ |
$2$ |
$29$ |
| 10.0.120...336.1 |
$x^{10} - 29 x^{8} + 319 x^{6} + 377 x^{4} + 812 x^{2} + 464$ |
$10$ |
(0, 5) |
$-\,2^{10}\cdot 3^{4}\cdot 29^{9}$ |
$3$ |
$64.2742023434$ |
$71.73792672801065$ |
|
|
|
$D_{10}$ (as 10T3) |
$[6]$ |
$[6]$ |
$2$ |
$4$ |
$461031.18532335287$ |
$0$ |
$29$ |
| 10.2.189...949.1 |
$x^{10} - 5 x^{9} - 25 x^{8} + 130 x^{7} + 169 x^{6} - 983 x^{5} - 777 x^{4} + 3354 x^{3} - 1024 x^{2} - 840 x - 1872$ |
$10$ |
(2, 4) |
$19^{4}\cdot 29^{9}$ |
$2$ |
$67.2449443466$ |
$90.26824492101079$ |
|
|
|
$D_{10}$ (as 10T3) |
trivial |
trivial |
$2$ |
$5$ |
$620533.26616$ |
$2$ |
$29$ |
| 10.2.367...625.1 |
$x^{10} - 2 x^{9} - 4 x^{8} + 35 x^{7} - 63 x^{6} + 36 x^{5} + 342 x^{4} - 1620 x^{3} + 1296 x^{2} + 3753 x - 8829$ |
$10$ |
(2, 4) |
$3^{4}\cdot 5^{5}\cdot 29^{9}$ |
$3$ |
$71.8607428197$ |
$80.20544036436544$ |
|
|
|
$D_{10}$ (as 10T3) |
$[4]$ |
$[4]$ |
$2$ |
$5$ |
$488858.86332898587$ |
$2$ |
$29$ |
| 10.2.367...625.2 |
$x^{10} - 3 x^{9} + 49 x^{8} - 45 x^{7} + 658 x^{6} - 2304 x^{5} + 2519 x^{4} - 18933 x^{3} + 27203 x^{2} - 37035 x + 35666$ |
$10$ |
(2, 4) |
$3^{4}\cdot 5^{5}\cdot 29^{9}$ |
$3$ |
$71.8607428197$ |
$80.20544036436544$ |
|
|
|
$D_{10}$ (as 10T3) |
$[4]$ |
$[4]$ |
$2$ |
$5$ |
$4413618.925746647$ |
$2$ |
$29$ |
| 10.4.380...136.1 |
$x^{10} + 29 x^{8} - 551 x^{6} + 725 x^{4} - 696 x^{2} + 116$ |
$10$ |
(4, 3) |
$-\,2^{18}\cdot 29^{9}$ |
$2$ |
$72.1127720386$ |
$139.31269258316817$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$527123.387679$ |
$4$ |
$29$ |
| 10.0.380...136.1 |
$x^{10} - 2 x^{9} - 4 x^{8} - 52 x^{7} + 198 x^{6} + 36 x^{5} + 458 x^{4} - 3940 x^{3} + 3645 x^{2} + 1926 x + 1118$ |
$10$ |
(0, 5) |
$-\,2^{18}\cdot 29^{9}$ |
$2$ |
$72.1127720386$ |
$82.8358226150452$ |
|
|
|
$S_5\times C_2$ (as 10T22) |
$[2, 12]$ |
$[2, 12]$ |
$2$ |
$4$ |
$54992.4779338$ |
$0$ |
$29$ |
| 10.0.380...136.2 |
$x^{10} - 4 x^{9} + 13 x^{8} + 48 x^{7} - 225 x^{6} + 456 x^{5} + 689 x^{4} - 6680 x^{3} + 14980 x^{2} - 18796 x + 20038$ |
$10$ |
(0, 5) |
$-\,2^{18}\cdot 29^{9}$ |
$2$ |
$72.1127720386$ |
$82.8358226150452$ |
|
|
|
$D_{10}$ (as 10T3) |
$[6]$ |
$[6]$ |
$2$ |
$4$ |
$239463.501718$ |
$0$ |
$29$ |
| 10.4.380...136.2 |
$x^{10} - 2 x^{9} + 25 x^{8} - 52 x^{7} - 179 x^{6} + 674 x^{5} - 3225 x^{4} + 4064 x^{3} + 3152 x^{2} + 1288 x + 886$ |
$10$ |
(4, 3) |
$-\,2^{18}\cdot 29^{9}$ |
$2$ |
$72.1127720386$ |
$139.31269258316817$ |
|
|
|
$C_2 \wr S_5$ (as 10T39) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$2194029.18658$ |
$4$ |
$29$ |
| 10.0.380...136.3 |
$x^{10} - 3 x^{9} + 20 x^{8} - 16 x^{7} + 49 x^{6} + 741 x^{5} + 344 x^{4} - 460 x^{3} + 9484 x^{2} + 29868 x + 26096$ |
$10$ |
(0, 5) |
$-\,2^{18}\cdot 29^{9}$ |
$2$ |
$72.1127720386$ |
$139.31269258316817$ |
|
|
|
$C_2\times (C_2^4 : D_5)$ (as 10T23) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$1055681.45187$ |
$0$ |
$29$ |
| 10.2.380...136.1 |
$x^{10} - 2 x^{9} - 4 x^{8} - 110 x^{7} + 807 x^{6} - 2052 x^{5} + 2256 x^{4} - 808 x^{3} + 20 x^{2} - 336 x + 16$ |
$10$ |
(2, 4) |
$2^{18}\cdot 29^{9}$ |
$2$ |
$72.1127720386$ |
$139.31269258316817$ |
|
|
|
$C_2\times (C_2^4 : D_5)$ (as 10T23) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$961788.836438$ |
$2$ |
$29$ |
| 10.2.380...136.2 |
$x^{10} - 2 x^{9} - 33 x^{8} + 64 x^{7} + 140 x^{6} + 152 x^{5} - 1456 x^{4} + 584 x^{3} + 107 x^{2} + 11554 x - 26983$ |
$10$ |
(2, 4) |
$2^{18}\cdot 29^{9}$ |
$2$ |
$72.1127720386$ |
$139.31269258316817$ |
|
|
|
$C_2 \wr S_5$ (as 10T39) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$5$ |
$779004.530791$ |
$2$ |
$29$ |
| 10.2.380...136.3 |
$x^{10} - 3 x^{9} + 20 x^{8} - 74 x^{7} + 194 x^{6} - 506 x^{5} + 1272 x^{4} - 1504 x^{3} - 1362 x^{2} + 2550 x + 1156$ |
$10$ |
(2, 4) |
$2^{18}\cdot 29^{9}$ |
$2$ |
$72.1127720386$ |
$112.18087226150547$ |
|
|
|
$C_2 \wr A_5$ (as 10T36) |
$[6]$ |
$[6]$ |
$2$ |
$5$ |
$244794.502738$ |
$2$ |
$29$ |
| 10.2.380...136.4 |
$x^{10} - 29 x^{8} + 174 x^{6} - 638 x^{4} + 1305 x^{2} - 2349$ |
$10$ |
(2, 4) |
$2^{18}\cdot 29^{9}$ |
$2$ |
$72.1127720386$ |
$112.18087226150547$ |
|
|
|
$C_2 \wr A_5$ (as 10T36) |
$[6]$ |
$[6]$ |
$2$ |
$5$ |
$588978.94952$ |
$2$ |
$29$ |
| 10.2.380...136.5 |
$x^{10} - 4 x^{9} + 13 x^{8} - 10 x^{7} - 283 x^{6} - 124 x^{5} - 935 x^{4} - 4998 x^{3} - 1840 x^{2} - 7892 x - 1132$ |
$10$ |
(2, 4) |
$2^{18}\cdot 29^{9}$ |
$2$ |
$72.1127720386$ |
$139.31269258316817$ |
|
|
|
$C_2 \wr S_5$ (as 10T39) |
$[2, 2]$ |
$[2, 4]$ |
$2$ |
$5$ |
$903270.501335$ |
$1$ |
$29$ |
| 10.2.405...829.1 |
$x^{10} + 58 x^{8} + 899 x^{6} + 261 x^{4} + 435 x^{2} - 29$ |
$10$ |
(2, 4) |
$23^{4}\cdot 29^{9}$ |
$2$ |
$72.5854097033$ |
$99.31666233919361$ |
|
|
? |
$A_5\times C_2$ (as 10T11) |
$[3]$ |
$[3]$ |
$2$ |
$5$ |
$138668.162124$ |
$2$ |
$29$ |
| 10.2.538...617.1 |
$x^{10} - 29 x^{8} - 58 x^{7} + 87 x^{6} + 87 x^{5} - 1189 x^{4} - 3306 x^{3} - 3654 x^{2} - 1885 x - 377$ |
$10$ |
(2, 4) |
$13^{5}\cdot 29^{9}$ |
$2$ |
$74.6672014709$ |
$74.66720147094625$ |
|
|
|
$A_5\times C_2$ (as 10T11) |
$[3, 6]$ |
$[3, 12]$ |
$2$ |
$5$ |
$24636.2953245$ |
$1$ |
$29$ |
| 10.2.770...229.1 |
$x^{10} - 5 x^{9} - 25 x^{8} + 130 x^{7} + 198 x^{6} - 1070 x^{5} - 313 x^{4} + 2571 x^{3} - 2503 x^{2} + 1016 x - 161$ |
$10$ |
(2, 4) |
$3^{12}\cdot 29^{9}$ |
$2$ |
$77.393360355$ |
$155.19599099732656$ |
|
|
? |
$A_5\times C_2$ (as 10T11) |
trivial |
trivial |
$2$ |
$5$ |
$1067177.99364$ |
$2$ |
$29$ |
| 10.2.770...229.2 |
$x^{10} - 4 x^{9} - 16 x^{8} + 193 x^{7} - 515 x^{6} - 936 x^{5} + 8838 x^{4} - 23094 x^{3} + 26667 x^{2} - 7254 x - 2205$ |
$10$ |
(2, 4) |
$3^{12}\cdot 29^{9}$ |
$2$ |
$77.393360355$ |
$155.19599099732656$ |
|
|
? |
$A_5\times C_2$ (as 10T11) |
trivial |
trivial |
$2$ |
$5$ |
$834360.058937$ |
$2$ |
$29$ |
| 10.2.133...749.1 |
$x^{10} - 5 x^{9} - 25 x^{8} + 130 x^{7} + 82 x^{6} - 722 x^{5} - 429 x^{4} + 2223 x^{3} - 1285 x^{2} + 30 x - 32409$ |
$10$ |
(2, 4) |
$29^{9}\cdot 31^{4}$ |
$2$ |
$81.7905023586$ |
$115.30258528043946$ |
|
|
|
$D_{10}$ (as 10T3) |
trivial |
trivial |
$2$ |
$5$ |
$1889951.16077$ |
$2$ |
$31$ |
| 10.0.152...544.1 |
$x^{10} - 2 x^{9} + 25 x^{8} - 52 x^{7} + 314 x^{6} - 892 x^{5} + 1618 x^{4} - 2200 x^{3} + 1760 x^{2} - 800 x + 248$ |
$10$ |
(0, 5) |
$-\,2^{20}\cdot 29^{9}$ |
$2$ |
$82.835822615$ |
$165.6716452300904$ |
|
|
|
$C_2\times (C_2^4 : D_5)$ (as 10T23) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$2265262.68324$ |
$0$ |
$29$ |
| 10.4.152...544.1 |
$x^{10} + 493 x^{6} + 1682 x^{4} - 7424 x^{2} + 1856$ |
$10$ |
(4, 3) |
$-\,2^{20}\cdot 29^{9}$ |
$2$ |
$82.835822615$ |
$165.6716452300904$ |
|
|
|
$C_2 \wr S_5$ (as 10T39) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$3266070.10613$ |
$4$ |
$29$ |
| 10.0.152...544.2 |
$x^{10} + 29 x^{6} + 986 x^{4} - 696 x^{2} + 464$ |
$10$ |
(0, 5) |
$-\,2^{20}\cdot 29^{9}$ |
$2$ |
$82.835822615$ |
$165.6716452300904$ |
|
|
? |
$C_2\times (C_2^4 : D_5)$ (as 10T23) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$4$ |
$406502.429725$ |
$0$ |
$29$ |
| 10.4.152...544.2 |
$x^{10} - 435 x^{6} + 1682 x^{4} + 7424 x^{2} + 7424$ |
$10$ |
(4, 3) |
$-\,2^{20}\cdot 29^{9}$ |
$2$ |
$82.835822615$ |
$165.6716452300904$ |
|
|
|
$C_2 \wr S_5$ (as 10T39) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$4994708.63315$ |
$4$ |
$29$ |
| 10.4.152...544.3 |
$x^{10} - 261 x^{6} - 638 x^{4} - 23490 x^{2} + 19604$ |
$10$ |
(4, 3) |
$-\,2^{20}\cdot 29^{9}$ |
$2$ |
$82.835822615$ |
$165.6716452300904$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$2220467.79445$ |
$4$ |
$29$ |
| 10.0.152...544.3 |
$x^{10} + 29 x^{8} + 174 x^{6} + 638 x^{4} + 1305 x^{2} + 2349$ |
$10$ |
(0, 5) |
$-\,2^{20}\cdot 29^{9}$ |
$2$ |
$82.835822615$ |
|
|
|
? |
$C_2 \wr A_5$ (as 10T36) |
$[2, 12]$ |
$[2, 12]$ |
$2$ |
$4$ |
$42511.3907526$ |
$0$ |
$29$ |
| 10.0.152...544.4 |
$x^{10} - 29 x^{6} + 2610 x^{4} + 32422 x^{2} + 5684$ |
$10$ |
(0, 5) |
$-\,2^{20}\cdot 29^{9}$ |
$2$ |
$82.835822615$ |
$165.6716452300904$ |
|
|
? |
$C_2\times (C_2^4 : D_5)$ (as 10T23) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$712331.878453$ |
$0$ |
$29$ |
| 10.0.152...544.5 |
$x^{10} + 29 x^{8} + 290 x^{6} + 1450 x^{4} + 7801 x^{2} + 21141$ |
$10$ |
(0, 5) |
$-\,2^{20}\cdot 29^{9}$ |
$2$ |
$82.835822615$ |
$114.63731349756412$ |
|
|
? |
$C_2 \wr A_5$ (as 10T36) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
$4$ |
$221447.54183$ |
$0$ |
$29$ |
| 10.0.152...544.6 |
$x^{10} + 174 x^{6} - 348 x^{5} + 1566 x^{4} + 4640 x^{3} + 17081 x^{2} - 13804 x + 190762$ |
$10$ |
(0, 5) |
$-\,2^{20}\cdot 29^{9}$ |
$2$ |
$82.835822615$ |
$165.6716452300904$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$962965.663279$ |
$0$ |
$29$ |
| 10.6.152...544.1 |
$x^{10} - 29 x^{8} + 58 x^{6} + 406 x^{4} + 2001 x^{2} - 10469$ |
$10$ |
(6, 2) |
$2^{20}\cdot 29^{9}$ |
$2$ |
$82.835822615$ |
$165.6716452300904$ |
|
|
|
$C_2 \wr S_5$ (as 10T39) |
$[2]$ |
$[2]$ |
$2$ |
$7$ |
$9043663.70055$ |
$6$ |
$29$ |
| 10.2.152...544.1 |
$x^{10} + 319 x^{6} - 290 x^{4} - 638 x^{2} - 116$ |
$10$ |
(2, 4) |
$2^{20}\cdot 29^{9}$ |
$2$ |
$82.835822615$ |
$165.6716452300904$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$694173.996955$ |
$2$ |
$29$ |
| 10.2.152...544.2 |
$x^{10} - 4 x^{9} - 16 x^{8} + 106 x^{7} + 268 x^{6} - 1400 x^{5} - 3835 x^{4} - 4708 x^{3} - 18196 x^{2} - 115888 x - 218342$ |
$10$ |
(2, 4) |
$2^{20}\cdot 29^{9}$ |
$2$ |
$82.835822615$ |
$165.6716452300904$ |
|
|
? |
$C_2\times (C_2^4 : D_5)$ (as 10T23) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$886304.293119$ |
$2$ |
$29$ |
| 10.6.152...544.2 |
$x^{10} - 4 x^{9} - 45 x^{8} + 164 x^{7} + 558 x^{6} - 1400 x^{5} - 558 x^{4} - 5056 x^{3} - 16572 x^{2} + 18672 x + 21140$ |
$10$ |
(6, 2) |
$2^{20}\cdot 29^{9}$ |
$2$ |
$82.835822615$ |
$139.31269258316817$ |
|
|
|
$S_5\times C_2$ (as 10T22) |
trivial |
trivial |
$2$ |
$7$ |
$4450347.48699$ |
$6$ |
$29$ |
