| 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 |
| 10.4.15364358559.1 |
$x^{10} - x^{9} - 4 x^{8} + 6 x^{7} + 3 x^{6} - 10 x^{5} + 5 x^{4} + 5 x^{3} - 5 x^{2} + 1$ |
$10$ |
[4,3] |
$-\,3^{5}\cdot 11\cdot 5747983$ |
$3$ |
$10.4388208271$ |
$13772.561090806605$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$6$ |
$13.36953005685482$ |
| 10.4.17748440064.1 |
$x^{10} - 2 x^{9} + 3 x^{8} - 5 x^{6} + 10 x^{5} - 10 x^{4} + 6 x^{3} - x^{2} - 2 x + 1$ |
$10$ |
[4,3] |
$-\,2^{10}\cdot 3^{5}\cdot 71327$ |
$3$ |
$10.5904891307$ |
$925.1616075043322$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$14.4167037225$ |
| 10.4.21009134592.1 |
$x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} - x^{6} + 2 x^{5} - 3 x^{4} + 2 x^{3} + x^{2} + 1$ |
$10$ |
[4,3] |
$-\,2^{10}\cdot 3^{5}\cdot 84431$ |
$3$ |
$10.7706227922$ |
$1006.5644539720246$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$15.4345453407$ |
| 10.6.21876271101.1 |
$x^{10} - x^{9} - 2 x^{8} + 6 x^{7} - 4 x^{6} - 6 x^{5} + 13 x^{4} - 8 x^{2} + x + 1$ |
$10$ |
[6,2] |
$3^{5}\cdot 547\cdot 164581$ |
$3$ |
$10.8142730195$ |
$16434.032402304674$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$7$ |
$20.37833177072092$ |
| 10.6.28176493221.1 |
$x^{10} - 2 x^{9} + 3 x^{7} - 8 x^{6} + x^{5} + 14 x^{4} - 3 x^{3} - 7 x^{2} + x + 1$ |
$10$ |
[6,2] |
$3^{5}\cdot 5167\cdot 22441$ |
$3$ |
$11.0914594069$ |
$18650.950136655236$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$7$ |
$23.670774969905967$ |
| 10.2.28259601408.1 |
$x^{10} - 2 x^{9} + 2 x^{8} - 4 x^{6} + 4 x^{5} - 5 x^{4} + 6 x^{3} - 2 x + 1$ |
$10$ |
[2,4] |
$2^{10}\cdot 3^{5}\cdot 337^{2}$ |
$3$ |
$11.0947265624$ |
$63.592452382338585$ |
|
|
? |
$D_5^2 : C_2$ (as 10T21) |
trivial |
$2$ |
$5$ |
$15.0881850067$ |
| 10.4.29728207872.1 |
$x^{10} - 5 x^{8} - 2 x^{7} + 8 x^{6} + 4 x^{5} - 3 x^{4} - x^{2} - 2 x + 1$ |
$10$ |
[4,3] |
$-\,2^{10}\cdot 3^{5}\cdot 11\cdot 10861$ |
$4$ |
$11.1510784946$ |
$1197.3520785466571$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$18.9439200061$ |
| 10.6.29782453248.1 |
$x^{10} - 5 x^{8} - 4 x^{7} + 5 x^{6} + 14 x^{5} + 6 x^{4} - 12 x^{3} - 7 x^{2} + 2 x + 1$ |
$10$ |
[6,2] |
$2^{10}\cdot 3^{5}\cdot 119689$ |
$3$ |
$11.1531115749$ |
$1198.4439911818993$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$7$ |
$24.701090855$ |
| 10.6.32746352193.1 |
$x^{10} - 3 x^{9} - x^{8} + 7 x^{7} + x^{6} - 3 x^{5} - 8 x^{4} + 5 x^{3} - 5 x^{2} + 6 x + 1$ |
$10$ |
[6,2] |
$3^{5}\cdot 1087\cdot 123973$ |
$3$ |
$11.2594270858$ |
$20106.61465786819$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$7$ |
$26.659239141867367$ |
| 10.6.33284660373.1 |
$x^{10} - x^{9} - 4 x^{7} + 3 x^{6} + 10 x^{5} - 8 x^{4} - 10 x^{3} + 4 x^{2} + 5 x + 1$ |
$10$ |
[6,2] |
$3^{5}\cdot 136973911$ |
$2$ |
$11.2778006343$ |
$20271.20452760516$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$7$ |
$26.0601616558599$ |
| 10.4.33341248512.1 |
$x^{10} - 2 x^{9} - 2 x^{8} + 10 x^{7} - 3 x^{6} - 14 x^{5} + 11 x^{4} + 8 x^{3} - 7 x^{2} - 2 x + 1$ |
$10$ |
[4,3] |
$-\,2^{10}\cdot 3^{5}\cdot 11\cdot 13\cdot 937$ |
$5$ |
$11.279716538$ |
$1268.026813596621$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$20.4396763871$ |
| 10.2.34112130048.1 |
$x^{10} - 4 x^{9} + 9 x^{8} - 12 x^{7} + 7 x^{6} - 4 x^{5} + 2 x^{4} - x^{2} + 2 x + 1$ |
$10$ |
[2,4] |
$2^{10}\cdot 3^{5}\cdot 137089$ |
$3$ |
$11.3055288835$ |
$1282.6020427240867$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$15.9146048657$ |
| 10.2.35071377408.1 |
$x^{10} - 2 x^{9} + 5 x^{8} - 4 x^{7} + 8 x^{6} - 2 x^{5} + 6 x^{4} + 4 x^{3} + x^{2} + 4 x + 1$ |
$10$ |
[2,4] |
$2^{14}\cdot 3^{5}\cdot 23\cdot 383$ |
$4$ |
$11.3369252281$ |
$429.008528924325$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$27.5997625638$ |
| 10.2.35310256128.1 |
$x^{10} - 2 x^{9} + 2 x^{7} - 8 x^{6} + 16 x^{5} - 11 x^{4} + 6 x^{3} - 3 x^{2} + 2 x + 1$ |
$10$ |
[2,4] |
$2^{14}\cdot 3^{5}\cdot 7^{2}\cdot 181$ |
$4$ |
$11.3446234864$ |
$246.60900226877362$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$27.5740933803$ |
| 10.6.36720664821.1 |
$x^{10} - 2 x^{8} - 5 x^{7} + 7 x^{5} + 8 x^{4} - x^{3} - 7 x^{2} - x + 1$ |
$10$ |
[6,2] |
$3^{5}\cdot 677\cdot 223211$ |
$3$ |
$11.3891432002$ |
$21291.81864003167$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$7$ |
$28.22228560142762$ |
| 10.6.38875034781.1 |
$x^{10} - 3 x^{9} - x^{8} + 11 x^{7} - 8 x^{6} - 12 x^{5} + 16 x^{4} + 4 x^{3} - 8 x^{2} + 1$ |
$10$ |
[6,2] |
$3^{5}\cdot 11\cdot 211\cdot 68927$ |
$4$ |
$11.4542611111$ |
$21907.50330366288$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$7$ |
$29.010440453555443$ |
| 10.6.39053878893.1 |
$x^{10} - 2 x^{9} + x^{8} + x^{7} - 2 x^{6} - 7 x^{5} + 6 x^{4} + 10 x^{3} - 6 x^{2} - 2 x + 1$ |
$10$ |
[6,2] |
$3^{5}\cdot 251^{2}\cdot 2551$ |
$3$ |
$11.4595197523$ |
$1385.9664498103841$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$7$ |
$30.179315578492822$ |
| 10.6.41242234833.1 |
$x^{10} - x^{9} - 4 x^{8} + 5 x^{7} - x^{6} - 14 x^{5} + 6 x^{4} + 7 x^{3} - 8 x^{2} - 3 x + 1$ |
$10$ |
[6,2] |
$3^{5}\cdot 73\cdot 89\cdot 151\cdot 173$ |
$5$ |
$11.5221684211$ |
$22564.649188498366$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$7$ |
$31.14929550612835$ |
| 10.6.42451304661.1 |
$x^{10} - x^{9} - 5 x^{8} + 5 x^{7} + 7 x^{6} - 11 x^{5} - 3 x^{4} + 11 x^{3} - 4 x + 1$ |
$10$ |
[6,2] |
$3^{5}\cdot 199\cdot 877873$ |
$3$ |
$11.5555096399$ |
$22893.015987414154$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$7$ |
$30.438941333271536$ |
| 10.6.42717735936.1 |
$x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} - x^{6} - 4 x^{5} + 14 x^{3} - 2 x^{2} - 6 x + 1$ |
$10$ |
[6,2] |
$2^{10}\cdot 3^{5}\cdot 171673$ |
$3$ |
$11.5627416635$ |
$1435.2964850510853$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$7$ |
$30.8560972205$ |
| 10.6.44771003073.1 |
$x^{10} - 5 x^{8} - 2 x^{7} + 6 x^{6} + 7 x^{5} + 2 x^{4} - 7 x^{3} - 4 x^{2} + 2 x + 1$ |
$10$ |
[6,2] |
$3^{5}\cdot 23\cdot 8010557$ |
$3$ |
$11.6171522867$ |
$23510.177221790567$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$7$ |
$32.32955844069163$ |
| 10.4.46443746304.1 |
$x^{10} - 4 x^{9} + 8 x^{8} - 12 x^{7} + 11 x^{6} - 4 x^{5} - 8 x^{4} + 18 x^{3} - 3 x^{2} - 4 x + 1$ |
$10$ |
[4,3] |
$-\,2^{10}\cdot 3^{5}\cdot 186647$ |
$3$ |
$11.6598435834$ |
$1496.5841105664592$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$40.7312890417$ |
| 10.2.47693131776.1 |
$x^{10} - 2 x^{8} - 4 x^{7} - 2 x^{6} - 6 x^{5} - 5 x^{4} + 4 x^{3} + 11 x^{2} + 6 x + 1$ |
$10$ |
[2,4] |
$2^{12}\cdot 3^{5}\cdot 47917$ |
$3$ |
$11.690836428$ |
$1072.3842594891069$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$32.8250351446$ |
| 10.6.47925838053.1 |
$x^{10} - 2 x^{9} + 6 x^{7} - 8 x^{6} - 2 x^{5} + 14 x^{4} - 3 x^{3} - 7 x^{2} + x + 1$ |
$10$ |
[6,2] |
$3^{5}\cdot 317\cdot 677\cdot 919$ |
$4$ |
$11.6965281827$ |
$24324.411873671273$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$7$ |
$32.588135851917215$ |
| 10.6.48488290713.1 |
$x^{10} - 3 x^{9} - x^{8} + 9 x^{7} - 3 x^{6} - 5 x^{5} + 2 x^{4} - 5 x^{3} + x^{2} + 4 x + 1$ |
$10$ |
[6,2] |
$3^{5}\cdot 199540291$ |
$2$ |
$11.7101831471$ |
$24466.72992044503$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$7$ |
$33.603876903186865$ |
| 10.4.49873895424.1 |
$x^{10} - 3 x^{8} - 4 x^{7} + 2 x^{6} + 10 x^{5} + 4 x^{4} - 4 x^{3} - 7 x^{2} - 2 x + 1$ |
$10$ |
[4,3] |
$-\,2^{14}\cdot 3^{5}\cdot 12527$ |
$3$ |
$11.7432235668$ |
$511.5948453159523$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$42.0294425445$ |
| 10.6.50914032381.1 |
$x^{10} - x^{9} - x^{8} - 4 x^{7} - x^{6} + 4 x^{5} + 6 x^{4} + 4 x^{3} - 5 x^{2} - 3 x + 1$ |
$10$ |
[6,2] |
$3^{5}\cdot 29\cdot 7224923$ |
$3$ |
$11.7674876028$ |
$25071.26444757025$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$7$ |
$33.81809019447549$ |
| 10.6.51565443453.1 |
$x^{10} - x^{9} - x^{8} - x^{7} - 4 x^{6} + 3 x^{5} + 2 x^{4} + 5 x^{3} + 2 x^{2} - 6 x + 1$ |
$10$ |
[6,2] |
$3^{5}\cdot 59\cdot 151\cdot 23819$ |
$4$ |
$11.7824573314$ |
$25231.139748334794$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$7$ |
$35.46315989657917$ |
| 10.2.51591174237.1 |
$x^{10} - 2 x^{9} - 8 x^{8} + 18 x^{7} + 14 x^{6} - 45 x^{5} + 10 x^{4} + 21 x^{3} - 5 x^{2} - 10 x + 1$ |
$10$ |
[2,4] |
$3^{5}\cdot 31\cdot 2617^{2}$ |
$3$ |
$11.7830451355$ |
$493.3365990882898$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
trivial |
$2$ |
$5$ |
$23.2246512041$ |
| 10.4.53269705728.1 |
$x^{10} - 6 x^{8} - 2 x^{7} + 14 x^{6} + 8 x^{5} - 17 x^{4} - 8 x^{3} + 11 x^{2} + 2 x - 2$ |
$10$ |
[4,3] |
$-\,2^{10}\cdot 3^{5}\cdot 97\cdot 2207$ |
$4$ |
$11.8208315827$ |
$1602.793810819096$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$44.9236385264$ |
| 10.2.53501060925.1 |
$x^{10} - x^{9} + 4 x^{8} - 13 x^{7} + 17 x^{6} - 40 x^{5} + 39 x^{4} - 51 x^{3} + 29 x^{2} - 9 x + 1$ |
$10$ |
[2,4] |
$3^{5}\cdot 5^{2}\cdot 13^{2}\cdot 31\cdot 41^{2}$ |
$5$ |
$11.8259554717$ |
$497.8403358507625$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
trivial |
$2$ |
$5$ |
$23.0018841333$ |
| 10.4.54173712384.1 |
$x^{10} + x^{8} - 4 x^{7} - 6 x^{6} - 4 x^{5} + 2 x^{4} + 4 x^{3} + 5 x^{2} + 4 x + 1$ |
$10$ |
[4,3] |
$-\,2^{14}\cdot 3^{5}\cdot 11\cdot 1237$ |
$4$ |
$11.8407404042$ |
$533.1922320837848$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$44.7888345763$ |
| 10.4.54523072512.1 |
$x^{10} - 5 x^{8} - 2 x^{7} + 11 x^{6} + 10 x^{5} - 12 x^{4} - 12 x^{3} + 2 x^{2} + 4 x + 1$ |
$10$ |
[4,3] |
$-\,2^{12}\cdot 3^{5}\cdot 54779$ |
$3$ |
$11.8483542939$ |
$1146.6019361574442$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$45.3860373056$ |
| 10.4.55288230912.1 |
$x^{10} - 2 x^{9} - 3 x^{8} + 12 x^{7} - 8 x^{6} - 8 x^{5} + 5 x^{4} + 6 x^{3} - x^{2} - 2 x + 1$ |
$10$ |
[4,3] |
$-\,2^{10}\cdot 3^{5}\cdot 83\cdot 2677$ |
$4$ |
$11.8648777928$ |
$1632.878440056087$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$28.263854194$ |
| 10.2.56140480512.1 |
$x^{10} - 2 x^{9} + 2 x^{8} - 8 x^{7} + 11 x^{6} - 4 x^{4} - 2 x^{3} + 2 x^{2} - 2$ |
$10$ |
[2,4] |
$2^{14}\cdot 3^{5}\cdot 59\cdot 239$ |
$4$ |
$11.8830414645$ |
$652.9835536900011$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$57.8713242232$ |
| 10.4.57342587904.1 |
$x^{10} - 2 x^{9} + x^{8} - 4 x^{6} + 6 x^{5} - 5 x^{4} + 4 x^{2} - 4 x + 1$ |
$10$ |
[4,3] |
$-\,2^{10}\cdot 3^{5}\cdot 7^{2}\cdot 4703$ |
$4$ |
$11.9082441135$ |
$628.5316221161828$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$47.0889499435$ |
| 10.4.57850205184.1 |
$x^{10} - 2 x^{9} - 2 x^{8} + 6 x^{7} - 3 x^{6} - 4 x^{5} + 10 x^{4} - 6 x^{3} - 3 x^{2} + 6 x - 2$ |
$10$ |
[4,3] |
$-\,2^{10}\cdot 3^{5}\cdot 232487$ |
$3$ |
$11.9187439617$ |
$1670.2826108177023$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$46.1034066022$ |
| 10.4.60077749248.1 |
$x^{10} - 2 x^{9} - 4 x^{8} + 14 x^{7} - 7 x^{6} - 14 x^{5} + 18 x^{4} - 2 x^{3} - 8 x^{2} + 4 x + 1$ |
$10$ |
[4,3] |
$-\,2^{10}\cdot 3^{5}\cdot 11\cdot 47\cdot 467$ |
$5$ |
$11.9638611866$ |
$1702.1363047652794$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$29.5982824704$ |
| 10.4.60256161792.1 |
$x^{10} - 3 x^{8} - 6 x^{7} - 5 x^{6} - 8 x^{5} - 6 x^{4} - 2 x^{2} + 2 x + 1$ |
$10$ |
[4,3] |
$-\,2^{12}\cdot 3^{5}\cdot 60539$ |
$3$ |
$11.9674093485$ |
$1205.3779490267773$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$48.8639203293$ |
| 10.6.64454230521.1 |
$x^{10} - x^{9} - 2 x^{8} - 4 x^{7} + 3 x^{6} + 8 x^{5} + 5 x^{4} - 2 x^{3} - 7 x^{2} - x + 1$ |
$10$ |
[6,2] |
$3^{5}\cdot 53\cdot 5004599$ |
$3$ |
$12.0482825216$ |
$28208.708602132072$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$7$ |
$44.6388491171307$ |
| 10.4.64688075739.1 |
$x^{10} - 4 x^{9} + 3 x^{8} + 7 x^{7} - 17 x^{6} + 14 x^{5} - 2 x^{4} - 6 x^{3} + 6 x^{2} - 2 x + 1$ |
$10$ |
[4,3] |
$-\,3^{5}\cdot 7^{5}\cdot 47\cdot 337$ |
$4$ |
$12.0526466168$ |
$576.7313065891257$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$27.0387194141$ |
| 10.6.66838497921.1 |
$x^{10} - x^{9} - 3 x^{7} - 2 x^{6} + 5 x^{5} + 5 x^{4} - 4 x^{2} - x + 1$ |
$10$ |
[6,2] |
$3^{5}\cdot 13\cdot 21158119$ |
$3$ |
$12.0921261184$ |
$28725.71393368666$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$7$ |
$39.942189115330535$ |
| 10.6.67455310653.1 |
$x^{10} - 2 x^{9} + x^{8} + x^{7} - 5 x^{6} + 5 x^{5} - 3 x^{4} + x^{3} + 6 x^{2} - 5 x + 1$ |
$10$ |
[6,2] |
$3^{5}\cdot 31\cdot 8954641$ |
$3$ |
$12.1032391499$ |
$28857.955800783948$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$7$ |
$38.911569377699365$ |
| 10.4.67912971264.1 |
$x^{10} - 4 x^{9} + 5 x^{8} + 2 x^{7} - 16 x^{6} + 22 x^{5} - 9 x^{4} - 8 x^{3} + 13 x^{2} - 6 x + 1$ |
$10$ |
[4,3] |
$-\,2^{10}\cdot 3^{5}\cdot 272927$ |
$3$ |
$12.1114258093$ |
$1809.7303666568675$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$31.4784070137$ |
| 10.6.68785376256.1 |
$x^{10} - 4 x^{9} + 5 x^{8} - 9 x^{6} + 14 x^{5} - 7 x^{4} - 4 x^{3} + 10 x^{2} - 6 x + 1$ |
$10$ |
[6,2] |
$2^{10}\cdot 3^{5}\cdot 491\cdot 563$ |
$4$ |
$12.126894845$ |
$1821.3171058330288$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$7$ |
$40.7484282077$ |
| 10.6.69811068321.1 |
$x^{10} - 5 x^{8} - 4 x^{7} + 3 x^{6} + 11 x^{5} + 8 x^{4} - 5 x^{3} - 7 x^{2} - 2 x + 1$ |
$10$ |
[6,2] |
$3^{5}\cdot 16567\cdot 17341$ |
$3$ |
$12.144857639$ |
$29357.538060947823$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$7$ |
$47.55767000327481$ |
| 10.6.70606826496.1 |
$x^{10} - 2 x^{9} - 2 x^{8} + 6 x^{7} - 10 x^{6} + 12 x^{5} - 5 x^{4} + 4 x^{2} - 4 x + 1$ |
$10$ |
[6,2] |
$2^{10}\cdot 3^{5}\cdot 37\cdot 7669$ |
$4$ |
$12.1586307443$ |
$1845.2739633994731$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$7$ |
$40.998865546$ |
| 10.2.70845705216.1 |
$x^{10} + x^{8} - 4 x^{7} + x^{6} + 7 x^{4} - 2 x^{3} - 4 x^{2} + 1$ |
$10$ |
[2,4] |
$2^{10}\cdot 3^{5}\cdot 11^{2}\cdot 13\cdot 181$ |
$5$ |
$12.1627380324$ |
$557.31140307731$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$25.3293440869$ |
| 10.2.71127134208.1 |
$x^{10} - 4 x^{9} + 5 x^{8} + 2 x^{7} - 13 x^{6} + 10 x^{5} - 2 x^{3} + 10 x^{2} - 6 x + 1$ |
$10$ |
[2,4] |
$2^{12}\cdot 3^{5}\cdot 13\cdot 23\cdot 239$ |
$5$ |
$12.1675609692$ |
$1309.604520456462$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$41.0614747741$ |
| 10.2.72470080512.1 |
$x^{10} - 2 x^{9} - 5 x^{8} + 10 x^{7} + 11 x^{6} - 20 x^{5} - 12 x^{4} + 18 x^{3} + 5 x^{2} - 6 x - 2$ |
$10$ |
[2,4] |
$2^{10}\cdot 3^{5}\cdot 227\cdot 1283$ |
$4$ |
$12.1903415638$ |
$1869.463024507305$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$68.9985023268$ |
