| 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 |
| 10.4.48216435432192.1 |
$x^{10} - 4 x^{9} - x^{8} + 24 x^{7} - 42 x^{6} + 22 x^{5} + 88 x^{4} - 224 x^{3} + 141 x^{2} + 18 x - 27$ |
$10$ |
[4,3] |
$-\,2^{8}\cdot 3^{3}\cdot 17^{8}$ |
$3$ |
$23.3517541688$ |
$29.090002662313246$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
$2$ |
$6$ |
$1675.34418202$ |
| 10.2.353343041658973.1 |
$x^{10} - 3 x^{9} + 2 x^{8} + 18 x^{7} - 23 x^{6} + 23 x^{4} + 86 x^{3} - 70 x^{2} - 37 x + 67$ |
$10$ |
[2,4] |
$17^{8}\cdot 37^{3}$ |
$2$ |
$28.4983459583$ |
$58.675932343182495$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
$2$ |
$5$ |
$1785.87668948$ |
| 10.0.433947918889728.1 |
$x^{10} - 3 x^{9} + 11 x^{8} + 10 x^{7} + 35 x^{6} + 7 x^{5} + 317 x^{4} + 224 x^{3} - 149 x^{2} - 63 x + 27$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 3^{5}\cdot 17^{8}$ |
$3$ |
$29.0900026623$ |
$29.090002662313246$ |
|
|
? |
$S_5$ (as 10T12) |
$[3]$ |
$6$ |
$4$ |
$3644.07208949$ |
| 10.2.480776178591161.1 |
$x^{10} - 5 x^{9} + 5 x^{8} + 10 x^{7} - 15 x^{6} - 11 x^{5} + 32 x^{4} + 27 x^{3} - 5 x^{2} - 5 x - 1$ |
$10$ |
[2,4] |
$17^{8}\cdot 41^{3}$ |
$2$ |
$29.3896418799$ |
$61.76622589969527$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
$2$ |
$5$ |
$3043.04171687$ |
| 10.2.1225054618758656.1 |
$x^{10} - 2 x^{9} - 7 x^{8} + 7 x^{7} - 29 x^{6} + 57 x^{5} - 80 x^{4} + 41 x^{3} - 92 x^{2} - 2 x - 16$ |
$10$ |
[2,4] |
$2^{9}\cdot 7^{3}\cdot 17^{8}$ |
$3$ |
$32.271231976$ |
$72.18602882626527$ |
|
|
|
$S_5$ (as 10T13) |
trivial |
$2$ |
$5$ |
$40419.8139605$ |
| 10.4.1235734503400827.1 |
$x^{10} - 13 x^{8} + 54 x^{6} - 35 x^{4} - 82 x^{2} + 27$ |
$10$ |
[4,3] |
$-\,3^{11}\cdot 17^{8}$ |
$2$ |
$32.299255899$ |
$72.29053476419037$ |
|
|
? |
$(C_2^4:A_5) : C_2$ (as 10T38) |
trivial |
$2$ |
$6$ |
$58632.0349232$ |
| 10.2.2713688232425497.1 |
$x^{10} - x^{9} - 6 x^{8} + 20 x^{7} + 12 x^{6} - 122 x^{5} + 173 x^{4} + 201 x^{3} - 738 x^{2} + 594 x + 81$ |
$10$ |
[2,4] |
$17^{8}\cdot 73^{3}$ |
$2$ |
$34.9426626302$ |
$82.4177145175468$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
$2$ |
$5$ |
$8317.05771743$ |
| 10.2.3571587809792000.1 |
$x^{10} - 2 x^{9} + 4 x^{8} - 14 x^{7} + 8 x^{6} - 28 x^{5} + 97 x^{4} + 96 x^{3} + 124 x^{2} - 8 x - 28$ |
$10$ |
[2,4] |
$2^{12}\cdot 5^{3}\cdot 17^{8}$ |
$3$ |
$35.9158486858$ |
$61.00832939447344$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
$2$ |
$5$ |
$52201.1199767$ |
| 10.2.5431938610217408.1 |
$x^{10} - 3 x^{9} + 6 x^{8} - 29 x^{7} + 25 x^{6} - 35 x^{5} + 29 x^{4} - 10 x^{3} + 16 x^{2} + 5 x + 6$ |
$10$ |
[2,4] |
$2^{6}\cdot 17^{8}\cdot 23^{3}$ |
$3$ |
$37.4537653522$ |
$92.52371256959222$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
$2$ |
$5$ |
$26137.421371$ |
| 10.2.5720993071300125.1 |
$x^{10} - 4 x^{9} + 5 x^{8} - 19 x^{7} + 117 x^{6} - 385 x^{5} + 669 x^{4} - 664 x^{3} + 460 x^{2} - 256 x + 80$ |
$10$ |
[2,4] |
$3^{8}\cdot 5^{3}\cdot 17^{8}$ |
$3$ |
$37.648453583$ |
$51.94468811661205$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
$2$ |
$5$ |
$18446.9410707$ |
| 10.4.7811062540015104.1 |
$x^{10} - 2 x^{9} - x^{8} - 23 x^{7} + 41 x^{6} + 34 x^{5} + 46 x^{4} - 231 x^{3} + 189 x^{2} + 189 x - 162$ |
$10$ |
[4,3] |
$-\,2^{9}\cdot 3^{7}\cdot 17^{8}$ |
$3$ |
$38.8392657909$ |
$62.193510567250584$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
$2$ |
$6$ |
$90384.2241762$ |
| 10.4.9800436950069248.1 |
$x^{10} - 2 x^{9} - 4 x^{8} - 8 x^{7} + 33 x^{6} + 42 x^{5} - 22 x^{4} - 336 x^{3} + 384 x^{2} + 8 x - 88$ |
$10$ |
[4,3] |
$-\,2^{12}\cdot 7^{3}\cdot 17^{8}$ |
$3$ |
$39.730546959$ |
$72.18602882626527$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
$2$ |
$6$ |
$58879.9594373$ |
| 10.2.10065299484346577.1 |
$x^{10} - 2 x^{9} - 9 x^{8} + 34 x^{7} - 72 x^{6} + 154 x^{5} - 271 x^{4} + 408 x^{3} - 423 x^{2} + 270 x - 81$ |
$10$ |
[2,4] |
$17^{8}\cdot 113^{3}$ |
$2$ |
$39.8366371735$ |
$102.54119134182329$ |
|
|
|
$S_5$ (as 10T13) |
trivial |
$2$ |
$5$ |
$54020.544863$ |
| 10.4.11121610530607443.1 |
$x^{10} - 2 x^{9} - 6 x^{8} - 32 x^{7} - 59 x^{6} - 30 x^{5} - 30 x^{4} + 60 x^{3} - 63 x^{2} + 36 x + 9$ |
$10$ |
[4,3] |
$-\,3^{13}\cdot 17^{8}$ |
$2$ |
$40.2361823999$ |
$50.12345730758789$ |
|
|
? |
$S_{6}$ (as 10T32) |
trivial |
$2$ |
$6$ |
$73521.4365846$ |
| 10.0.11121610530607443.1 |
$x^{10} - 2 x^{9} + 16 x^{8} + 28 x^{7} + 160 x^{6} - 119 x^{5} - 362 x^{4} - 1472 x^{3} + 274 x^{2} + 1260 x + 3969$ |
$10$ |
[0,5] |
$-\,3^{13}\cdot 17^{8}$ |
$2$ |
$40.2361823999$ |
$72.29053476419037$ |
|
|
? |
$S_5$ (as 10T12) |
$[2]$ |
$6$ |
$4$ |
$44834.2922683$ |
| 10.2.15622125080030208.1 |
$x^{10} - 2 x^{9} - 3 x^{8} + 4 x^{7} + 19 x^{6} - 54 x^{5} - 129 x^{4} + 1188 x^{3} - 2736 x^{2} + 2592 x - 864$ |
$10$ |
[2,4] |
$2^{10}\cdot 3^{7}\cdot 17^{8}$ |
$3$ |
$41.626894379$ |
$62.193510567250584$ |
|
|
|
$S_5$ (as 10T13) |
trivial |
$2$ |
$5$ |
$134188.555726$ |
| 10.2.18081163287072000.1 |
$x^{10} - 4 x^{9} - x^{8} + 24 x^{7} + 26 x^{6} - 80 x^{5} - 150 x^{4} - 224 x^{3} + 209 x^{2} + 52 x + 7$ |
$10$ |
[2,4] |
$2^{8}\cdot 3^{4}\cdot 5^{3}\cdot 17^{8}$ |
$4$ |
$42.2398762155$ |
$65.04722341858228$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
$2$ |
$5$ |
$34762.4549767$ |
| 10.6.27772666808942592.1 |
$x^{10} - 16 x^{8} - 20 x^{6} - 276 x^{4} + 360 x^{2} - 108$ |
$10$ |
[6,2] |
$2^{14}\cdot 3^{5}\cdot 17^{8}$ |
$3$ |
$44.0921989551$ |
$44.092198955099775$ |
|
|
? |
$S_5\times C_2$ (as 10T22) |
trivial |
$2$ |
$7$ |
$95493.6341622$ |
| 10.4.35149781430067968.1 |
$x^{10} - 5 x^{9} + 3 x^{8} - 16 x^{7} + 71 x^{6} + 9 x^{5} + 91 x^{4} + 106 x^{3} - 231 x^{2} - 199 x + 185$ |
$10$ |
[4,3] |
$-\,2^{8}\cdot 3^{9}\cdot 17^{8}$ |
$3$ |
$45.1431918767$ |
$69.50732846729755$ |
|
|
|
$S_5$ (as 10T13) |
trivial |
$2$ |
$6$ |
$242443.795044$ |
| 10.4.100094494775466987.1 |
$x^{10} - 3 x^{9} + 18 x^{8} - 51 x^{7} + 18 x^{6} - 351 x^{5} - 144 x^{4} - 765 x^{3} + 2412 x^{2} + 2111 x + 399$ |
$10$ |
[4,3] |
$-\,3^{15}\cdot 17^{8}$ |
$2$ |
$50.1234573076$ |
$72.29053476419037$ |
|
|
|
$S_5$ (as 10T13) |
trivial |
$2$ |
$6$ |
$377358.616259$ |
| 10.2.139515148820000000.1 |
$x^{10} - 3 x^{9} + 11 x^{8} - 24 x^{7} - 135 x^{6} - 95 x^{5} + 487 x^{4} + 1176 x^{3} + 1381 x^{2} + 1025 x + 639$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{7}\cdot 17^{8}$ |
$3$ |
$51.8157915196$ |
$64.21820131246795$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
$2$ |
$5$ |
$139482.280503$ |
| 10.2.139515148820000000.2 |
$x^{10} - 5 x^{9} + 5 x^{8} + 10 x^{7} - 15 x^{6} + 125 x^{5} - 325 x^{4} + 2050 x^{3} - 2725 x^{2} + 2375 x + 3875$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{7}\cdot 17^{8}$ |
$3$ |
$51.8157915196$ |
$56.157871256287294$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$98606.5113418$ |
| 10.2.340613156298828125.1 |
$x^{10} - 5 x^{9} + 5 x^{8} + 10 x^{7} - 15 x^{6} + 23 x^{5} - 70 x^{4} + 520 x^{3} - 685 x^{2} + 590 x + 101$ |
$10$ |
[2,4] |
$5^{11}\cdot 17^{8}$ |
$2$ |
$56.6534212789$ |
$61.40088658501388$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$71066.8899155$ |
| 10.2.340613156298828125.2 |
$x^{10} - 5 x^{9} + 5 x^{8} + 10 x^{7} - 15 x^{6} + 40 x^{5} - 155 x^{4} + 350 x^{3} - 430 x^{2} + 1525 x - 2670$ |
$10$ |
[2,4] |
$5^{11}\cdot 17^{8}$ |
$2$ |
$56.6534212789$ |
$61.40088658501388$ |
|
|
|
$S_5$ (as 10T13) |
$[4]$ |
$2$ |
$5$ |
$223645.416754$ |
| 10.0.214...875.1 |
$x^{10} - 51 x^{5} + 2601$ |
$10$ |
[0,5] |
$-\,3^{9}\cdot 5^{6}\cdot 17^{8}$ |
$3$ |
$68.1004950446$ |
$86.69534308532275$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
trivial |
$6$ |
$4$ |
$590699.6240160516$ |
| 10.2.223...000.1 |
$x^{10} - 2 x^{9} - 6 x^{8} - 168 x^{7} + 451 x^{6} + 1330 x^{5} + 3710 x^{4} - 15580 x^{3} - 15380 x^{2} + 59400 x - 40400$ |
$10$ |
[2,4] |
$2^{12}\cdot 5^{7}\cdot 17^{8}$ |
$3$ |
$68.371346813$ |
$91.22873100436863$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$655690.911089$ |
| 10.10.248...589.1 |
$x^{10} - 2 x^{9} - 39 x^{8} + 65 x^{7} + 398 x^{6} - 698 x^{5} - 1068 x^{4} + 1909 x^{3} + 618 x^{2} - 1001 x - 219$ |
$10$ |
[10,0] |
$17^{8}\cdot 709^{3}$ |
$2$ |
$69.1119278573$ |
$256.851587748292$ |
|
|
|
$S_5$ (as 10T13) |
trivial |
$2$ |
$9$ |
$4640299.7234$ |
| 10.2.357...125.1 |
$x^{10} - x^{8} - 51 x^{7} - 71 x^{6} - 102 x^{5} + 259 x^{4} + 510 x^{3} - 1000 x^{2} - 2000$ |
$10$ |
[2,4] |
$3^{8}\cdot 5^{7}\cdot 17^{8}$ |
$3$ |
$71.6696269498$ |
$77.67542606609224$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$395850.373683$ |
| 10.10.432...357.1 |
$x^{10} - 2 x^{9} - 39 x^{8} + 82 x^{7} + 466 x^{6} - 987 x^{5} - 1969 x^{4} + 4204 x^{3} + 2097 x^{2} - 5285 x + 1175$ |
$10$ |
[10,0] |
$17^{8}\cdot 853^{3}$ |
$2$ |
$73.0539741228$ |
$281.7303616024283$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
$2$ |
$9$ |
$1613621.44232$ |
| 10.0.678...000.1 |
$x^{10} - 68 x^{5} + 4624$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 3^{5}\cdot 5^{6}\cdot 17^{8}$ |
$4$ |
$76.4057008227$ |
$97.26828626080145$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[5]$ |
$6$ |
$4$ |
$239065.57194024837$ |
| 10.0.892...000.1 |
$x^{10} + x^{8} - 54 x^{6} + 506 x^{4} + 6021 x^{2} + 4805$ |
$10$ |
[0,5] |
$-\,2^{14}\cdot 5^{7}\cdot 17^{8}$ |
$3$ |
$78.5380536131$ |
$85.11941580311276$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[2]$ |
$2$ |
$4$ |
$789248.6537566647$ |
| 10.10.113...000.1 |
$x^{10} - 69 x^{8} + 1646 x^{6} - 16554 x^{4} + 65521 x^{2} - 55125$ |
$10$ |
[10,0] |
$2^{8}\cdot 3^{4}\cdot 5^{7}\cdot 17^{8}$ |
$4$ |
$80.4101067286$ |
$97.26828626080145$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$9$ |
$4841752.74267$ |
| 10.0.165...875.1 |
$x^{10} - 17 x^{5} + 289$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 5^{10}\cdot 17^{8}$ |
$3$ |
$83.5390955126$ |
$106.34945519501834$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[2]$ |
$6$ |
$4$ |
$815053.923754202$ |
| 10.10.194...592.1 |
$x^{10} - 2 x^{9} - 57 x^{8} + 104 x^{7} + 944 x^{6} - 1832 x^{5} - 4824 x^{4} + 9920 x^{3} + 3439 x^{2} - 8158 x + 2321$ |
$10$ |
[10,0] |
$2^{21}\cdot 11^{3}\cdot 17^{8}$ |
$3$ |
$84.9063034599$ |
$215.22264666523284$ |
|
|
|
$S_5$ (as 10T13) |
trivial |
$2$ |
$9$ |
$19387973.2539$ |
| 10.10.527...000.1 |
$x^{10} - 4 x^{9} - 54 x^{8} + 214 x^{7} + 758 x^{6} - 2616 x^{5} - 4092 x^{4} + 9480 x^{3} + 5616 x^{2} - 9720 x + 1368$ |
$10$ |
[10,0] |
$2^{10}\cdot 3^{10}\cdot 5^{3}\cdot 17^{8}$ |
$4$ |
$93.799686914$ |
$174.45654396238618$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
$2$ |
$9$ |
$57392708.2211$ |
| 10.2.871...000.1 |
$x^{10} - 5 x^{9} + 5 x^{8} + 10 x^{7} - 15 x^{6} + 57 x^{5} - 155 x^{4} + 1030 x^{3} - 1365 x^{2} + 1185 x + 781$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{11}\cdot 17^{8}$ |
$3$ |
$98.6393356139$ |
$106.90515280693053$ |
|
|
? |
$F_5$ (as 10T4) |
$[2, 2]$ |
$2$ |
$5$ |
$681583.2467888098$ |
| 10.2.871...000.2 |
$x^{10} - 5 x^{9} + 5 x^{8} + 10 x^{7} - 15 x^{6} + 261 x^{5} - 665 x^{4} + 4090 x^{3} - 5445 x^{2} + 4755 x + 16999$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{11}\cdot 17^{8}$ |
$3$ |
$98.6393356139$ |
$106.90515280693053$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$1003267.5074243046$ |
| 10.2.871...000.3 |
$x^{10} - 5 x^{9} + 5 x^{8} + 10 x^{7} - 15 x^{6} + 533 x^{5} - 1345 x^{4} + 8170 x^{3} - 10885 x^{2} + 9515 x + 70991$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{11}\cdot 17^{8}$ |
$3$ |
$98.6393356139$ |
$106.90515280693053$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$819741.0748297786$ |
| 10.0.101...728.1 |
$x^{10} - 2 x^{9} + 3 x^{8} - 9 x^{7} + 13 x^{6} - 13 x^{5} + 39 x^{4} - 81 x^{3} + 81 x^{2} - 162 x + 243$ |
$10$ |
[0,5] |
$-\,2^{4}\cdot 13\cdot 17^{8}\cdot 71\cdot 991^{2}$ |
$5$ |
$100.11658709$ |
$18451.29321970751$ |
✓ |
|
? |
$C_2 \wr S_5$ (as 10T39) |
$[2, 16]$ |
$2$ |
$4$ |
$16395.5181569$ |
| 10.2.120...269.1 |
$x^{10} - 2 x^{9} - 39 x^{8} + 65 x^{7} + 296 x^{6} - 239 x^{5} - 541 x^{4} - 437 x^{3} - 6641 x^{2} + 1192 x - 100$ |
$10$ |
[2,4] |
$17^{8}\cdot 29^{7}$ |
$2$ |
$101.86798968$ |
$120.54734107095096$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$2420067.84418$ |
| 10.2.120...269.2 |
$x^{10} - 5 x^{9} + 11 x^{8} + 88 x^{7} - 315 x^{6} + 429 x^{5} + 226 x^{4} - 1162 x^{3} + 951 x^{2} + 34983 x - 28566$ |
$10$ |
[2,4] |
$17^{8}\cdot 29^{7}$ |
$2$ |
$101.86798968$ |
$159.59678386119668$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
$2$ |
$5$ |
$5897036.03285$ |
| 10.2.120...269.3 |
$x^{10} - 33 x^{8} - 54 x^{6} - 1653 x^{4} - 116 x^{2} - 11600$ |
$10$ |
[2,4] |
$17^{8}\cdot 29^{7}$ |
$2$ |
$101.86798968$ |
$159.59678386119668$ |
|
|
|
$S_5$ (as 10T12) |
trivial |
$2$ |
$5$ |
$10412845.2451$ |
| 10.2.120...269.4 |
$x^{10} - 4 x^{9} + 49 x^{8} + 85 x^{7} + 174 x^{6} + 2905 x^{5} - 2163 x^{4} + 20094 x^{3} - 8107 x^{2} + 41782 x + 13276$ |
$10$ |
[2,4] |
$17^{8}\cdot 29^{7}$ |
$2$ |
$101.86798968$ |
$120.54734107095096$ |
|
|
|
$S_5$ (as 10T12) |
$[3]$ |
$2$ |
$5$ |
$398971.287755$ |
| 10.2.120...269.5 |
$x^{10} - 5 x^{9} - 31 x^{8} + 154 x^{7} + 445 x^{6} - 1402 x^{5} - 2952 x^{4} + 5308 x^{3} + 6722 x^{2} - 5775 x - 5969$ |
$10$ |
[2,4] |
$17^{8}\cdot 29^{7}$ |
$2$ |
$101.86798968$ |
$120.54734107095096$ |
|
|
? |
$S_5$ (as 10T13) |
$[4]$ |
$2$ |
$5$ |
$726046.151869$ |
| 10.2.212...125.1 |
$x^{10} - 5 x^{9} - 25 x^{8} + 45 x^{7} + 455 x^{6} + 216 x^{5} - 2165 x^{4} - 6125 x^{3} - 4515 x^{2} - 1635 x + 1094$ |
$10$ |
[2,4] |
$5^{15}\cdot 17^{8}$ |
$2$ |
$107.848508559$ |
$116.88603958820862$ |
|
|
? |
$S_5$ (as 10T13) |
$[4]$ |
$2$ |
$5$ |
$889801.40853$ |
| 10.10.285...184.1 |
$x^{10} - 5 x^{9} - 43 x^{8} + 100 x^{7} + 627 x^{6} - 59 x^{5} - 1995 x^{4} - 290 x^{3} + 2341 x^{2} + 241 x - 913$ |
$10$ |
[10,0] |
$2^{8}\cdot 3^{8}\cdot 17^{8}\cdot 29^{3}$ |
$4$ |
$111.070707123$ |
$217.8106626865211$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
$2$ |
$9$ |
$21793327.8255$ |
| 10.0.348...000.1 |
$x^{10} + 25 x^{8} + 250 x^{6} - 34 x^{5} + 1250 x^{4} + 1700 x^{3} + 3125 x^{2} - 4250 x + 3414$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 5^{11}\cdot 17^{8}$ |
$3$ |
$113.306842558$ |
$122.80177317002776$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[10]$ |
$2$ |
$4$ |
$612237.2187796907$ |
| 10.0.549...000.1 |
$x^{10} - 2448 x^{5} + 1997568$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 3^{9}\cdot 5^{6}\cdot 17^{8}$ |
$4$ |
$118.569848644$ |
$150.9453595161569$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[5]$ |
$6$ |
$4$ |
$1906634.832123621$ |
| 10.2.915...000.1 |
$x^{10} - x^{8} - 734 x^{6} - 69866 x^{4} - 74899 x^{2} - 3587045$ |
$10$ |
[2,4] |
$2^{8}\cdot 3^{8}\cdot 5^{7}\cdot 17^{8}$ |
$4$ |
$124.784068225$ |
$135.2407718322061$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$15053603.630539674$ |
| 10.2.915...000.2 |
$x^{10} - 5 x^{9} + 11 x^{8} + 88 x^{7} - 621 x^{6} + 1789 x^{5} - 879 x^{4} - 7520 x^{3} + 11185 x^{2} + 8905 x - 18145$ |
$10$ |
[2,4] |
$2^{8}\cdot 3^{8}\cdot 5^{7}\cdot 17^{8}$ |
$4$ |
$124.78406822481524$ |
$135.2407718322061$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$4631557.226017164$ |
