| 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 |
| 14.0.280155320935227.1 |
$x^{14} - x^{13} + 2 x^{12} - x^{11} + 3 x^{10} - 4 x^{9} + 3 x^{8} - 4 x^{7} + 2 x^{6} - 4 x^{5} + 2 x^{4} + 5 x^{2} + 2 x + 1$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 71^{6}$ |
$2$ |
$10.763587918$ |
$14.594519519326424$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$6$ |
$6$ |
$64.9438034848$ |
| 14.2.493856488203125.1 |
$x^{14} - 2 x^{13} + 6 x^{11} - 3 x^{10} - 8 x^{9} + 13 x^{8} + 4 x^{7} - 16 x^{6} + 7 x^{5} + 13 x^{4} - 11 x^{3} - 4 x^{2} + 6 x - 1$ |
$14$ |
[2,6] |
$5^{7}\cdot 43^{6}$ |
$2$ |
$11.2083816827$ |
$14.66287829861518$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$7$ |
$39.9535247267$ |
| 14.0.2098795051761664.1 |
$x^{14} + 3 x^{12} + x^{10} - 3 x^{8} + x^{6} + 7 x^{4} + 6 x^{2} + 1$ |
$14$ |
[0,7] |
$-\,2^{14}\cdot 71^{6}$ |
$2$ |
$12.4287207638$ |
$16.852299546352718$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$4$ |
$6$ |
$104.988217999$ |
| 14.0.3911915096945863.1 |
$x^{14} - 5 x^{12} - 6 x^{11} + 8 x^{10} + 21 x^{9} + 14 x^{8} - 6 x^{7} - 13 x^{6} + x^{5} + 10 x^{4} + x^{3} - 2 x + 1$ |
$14$ |
[0,7] |
$-\,7^{7}\cdot 41^{6}$ |
$2$ |
$12.9939772319$ |
$16.941074346097416$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$6$ |
$90.8322177609$ |
| 14.0.4247165798546875.1 |
$x^{14} - 2 x^{13} + 3 x^{12} - 7 x^{11} + 4 x^{10} + 9 x^{9} - 25 x^{7} + 13 x^{6} + 15 x^{5} + x^{4} - 16 x^{3} + x^{2} + 3 x + 1$ |
$14$ |
[0,7] |
$-\,5^{6}\cdot 43^{7}$ |
$2$ |
$13.0705180468$ |
$14.66287829861518$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$6$ |
$83.0268971918$ |
| 14.2.10007834681328125.1 |
$x^{14} - x^{13} - 4 x^{12} + 3 x^{11} - 3 x^{10} - 16 x^{9} + 31 x^{8} + 56 x^{7} + 8 x^{6} - 18 x^{5} - 14 x^{4} - 2 x^{3} + 7 x^{2} + 2 x - 1$ |
$14$ |
[2,6] |
$5^{7}\cdot 71^{6}$ |
$2$ |
$13.8957322506$ |
$18.841443681416774$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$7$ |
$177.468687534$ |
| 14.0.17391946147446784.1 |
$x^{14} - 2 x^{13} + 8 x^{12} - 18 x^{11} + 33 x^{10} - 66 x^{9} + 99 x^{8} - 136 x^{7} + 188 x^{6} - 192 x^{5} + 181 x^{4} - 150 x^{3} + 86 x^{2} - 28 x + 4$ |
$14$ |
[0,7] |
$-\,2^{14}\cdot 101^{6}$ |
$2$ |
$14.4552254712$ |
$20.09975124224178$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$4$ |
$6$ |
$1052.31961458$ |
| 14.2.19891027786401117.1 |
$x^{14} - 4 x^{13} + 4 x^{12} + 4 x^{11} - 23 x^{10} + 60 x^{9} - 28 x^{8} - 144 x^{7} + 179 x^{6} + 44 x^{5} - 101 x^{4} + 3 x^{3} - 35 x^{2} + 40 x - 11$ |
$14$ |
[2,6] |
$3^{7}\cdot 71^{7}$ |
$2$ |
$14.5945195193$ |
$14.594519519326424$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
$[2]$ |
$2$ |
$7$ |
$278.626564509$ |
| 14.2.22912645567825769.1 |
$x^{14} - x^{13} + 3 x^{12} + x^{11} - x^{10} + 2 x^{8} - 6 x^{7} - 8 x^{6} + 7 x^{5} - 5 x^{4} - 6 x^{3} + 9 x^{2} + 8 x + 1$ |
$14$ |
[2,6] |
$7^{6}\cdot 41^{7}$ |
$2$ |
$14.7426923454$ |
$16.941074346097416$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$7$ |
$377.782741588$ |
| 14.0.23931305644896387.1 |
$x^{14} - 2 x^{13} - 3 x^{12} + 7 x^{11} + 9 x^{10} - 34 x^{9} + 60 x^{8} - 118 x^{7} + 174 x^{6} - 164 x^{5} + 135 x^{4} - 113 x^{3} + 58 x^{2} - 12 x + 3$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 149^{6}$ |
$2$ |
$14.7885696461$ |
$21.142374511865974$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$6$ |
$6$ |
$1043.56930973$ |
| 14.0.25924504643832987.1 |
$x^{14} - x^{13} - x^{11} - 2 x^{10} + 5 x^{9} + 2 x^{8} + 4 x^{6} - 2 x^{5} - 8 x^{4} - 9 x^{3} + 10 x^{2} + 3 x + 1$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 151^{6}$ |
$2$ |
$14.8733189241$ |
$21.283796653792763$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$6$ |
$6$ |
$1247.28398728$ |
| 14.2.60744850248635297.1 |
$x^{14} - 5 x^{12} - 5 x^{11} + 7 x^{10} + 15 x^{9} + 6 x^{8} - 8 x^{7} - 3 x^{6} + 4 x^{5} - 12 x^{3} - 12 x^{2} - 8 x + 1$ |
$14$ |
[2,6] |
$17^{7}\cdot 23^{6}$ |
$2$ |
$15.8060046255$ |
$19.77371993328519$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$7$ |
$723.839652503$ |
| 14.0.82184209159918343.1 |
$x^{14} - x^{13} + 7 x^{12} - 8 x^{11} + 23 x^{10} - 25 x^{9} + 47 x^{8} - 36 x^{7} + 61 x^{6} - 21 x^{5} + 78 x^{4} + 20 x^{3} + 62 x^{2} + 8 x + 27$ |
$14$ |
[0,7] |
$-\,17^{6}\cdot 23^{7}$ |
$2$ |
$16.1509908104$ |
$19.77371993328519$ |
|
|
|
$D_{14}$ (as 14T3) |
$[3]$ |
$[3]$ |
$2$ |
$6$ |
$345.555600672$ |
| 14.0.105496092121152103.1 |
$x^{14} - x^{13} + 5 x^{12} - 3 x^{11} + 9 x^{10} - 25 x^{9} + 16 x^{8} - 85 x^{7} + 14 x^{6} - 108 x^{5} + 136 x^{4} + 16 x^{3} + 352 x^{2} + 128 x + 128$ |
$14$ |
[0,7] |
$-\,7^{7}\cdot 71^{6}$ |
$2$ |
$16.4416521279$ |
$22.293496809607955$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$6$ |
$451.410051802$ |
| 14.2.117244558738203125.1 |
$x^{14} - 3 x^{12} - 6 x^{11} + 16 x^{10} + x^{9} - 3 x^{8} - 34 x^{7} + 37 x^{6} - 10 x^{5} + 14 x^{4} - 7 x^{3} - 20 x^{2} + 16 x - 1$ |
$14$ |
[2,6] |
$5^{7}\cdot 107^{6}$ |
$2$ |
$16.56612396543349$ |
$23.130067012440755$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$7$ |
$1181.3184922748676$ |
| 14.0.124630242720721927.1 |
$x^{14} - 2 x^{13} + x^{12} + 11 x^{11} - 13 x^{10} - 4 x^{9} + 39 x^{8} - 30 x^{7} - 21 x^{6} + 71 x^{5} - 28 x^{4} - 13 x^{3} + 56 x^{2} - 16 x + 11$ |
$14$ |
[0,7] |
$-\,7^{7}\cdot 73^{6}$ |
$2$ |
$16.6385685399$ |
$22.60530911091463$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$6$ |
$865.787181833$ |
| 14.2.149014448675078144.1 |
$x^{14} - 8 x^{12} + 22 x^{10} - 8 x^{8} - 55 x^{6} + 48 x^{4} + 64 x^{2} - 71$ |
$14$ |
[2,6] |
$2^{14}\cdot 71^{7}$ |
$2$ |
$16.8522995464$ |
$16.852299546352718$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
$[2]$ |
$2$ |
$7$ |
$928.928900558$ |
| 14.0.179282355594870784.1 |
$x^{14} + 4 x^{12} - 6 x^{10} + 32 x^{8} - 31 x^{6} + 44 x^{4} + 4 x^{2} + 16$ |
$14$ |
[0,7] |
$-\,2^{14}\cdot 149^{6}$ |
$2$ |
$17.07636933222585$ |
$24.413111231467404$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$4$ |
$6$ |
$3833.906432940705$ |
| 14.2.189704977082482688.1 |
$x^{14} - 6 x^{13} + 13 x^{12} - 12 x^{11} + 8 x^{10} + 4 x^{7} - 8 x^{4} - 12 x^{3} - 13 x^{2} - 6 x - 1$ |
$14$ |
[2,6] |
$2^{21}\cdot 67^{6}$ |
$2$ |
$17.145433902940812$ |
$23.15167380558045$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$7$ |
$3386.8513405699355$ |
| 14.0.194214487464361984.1 |
$x^{14} - x^{12} + 7 x^{10} - 10 x^{8} + 17 x^{6} - 17 x^{4} + 11 x^{2} + 1$ |
$14$ |
[0,7] |
$-\,2^{14}\cdot 151^{6}$ |
$2$ |
$17.174229369164284$ |
$24.576411454889016$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$4$ |
$6$ |
$1920.6363511525826$ |
| 14.2.268645766625492992.1 |
$x^{14} - 6 x^{12} + 4 x^{10} + 24 x^{8} + 16 x^{6} - 224 x^{4} + 384 x^{2} - 128$ |
$14$ |
[2,6] |
$2^{21}\cdot 71^{6}$ |
$2$ |
$17.57686546713123$ |
$23.83275057562597$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$7$ |
$1244.2071873296873$ |
| 14.0.268953971293258443.1 |
$x^{14} - x^{12} - 8 x^{11} + 2 x^{10} + 4 x^{9} + 27 x^{8} - 5 x^{7} - 4 x^{6} - 41 x^{5} + 9 x^{4} - 2 x^{3} + 25 x^{2} - 5 x + 1$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 223^{6}$ |
$2$ |
$17.57830506562684$ |
$25.865034312755125$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$6$ |
$6$ |
$3671.548317122743$ |
| 14.2.439146640223031296.1 |
$x^{14} - 5 x^{13} + 5 x^{12} + 10 x^{11} - 24 x^{10} + 2 x^{9} + 52 x^{8} - 10 x^{7} - 52 x^{6} + 2 x^{5} + 24 x^{4} + 10 x^{3} - 5 x^{2} - 5 x - 1$ |
$14$ |
[2,6] |
$2^{12}\cdot 101^{7}$ |
$2$ |
$18.2048203459$ |
$20.09975124224178$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$7$ |
$3155.08881948$ |
| 14.0.439234614592946176.1 |
$x^{14} - 2 x^{13} - 4 x^{12} + 16 x^{11} - 8 x^{10} - 50 x^{9} + 110 x^{8} - 22 x^{7} - 224 x^{6} + 392 x^{5} - 168 x^{4} - 326 x^{3} + 589 x^{2} - 384 x + 100$ |
$14$ |
[0,7] |
$-\,2^{14}\cdot 173^{6}$ |
$2$ |
$18.205080820031615$ |
$26.30589287593181$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$4$ |
$6$ |
$9131.336360552632$ |
| 14.0.546878830022345187.1 |
$x^{14} - 4 x^{12} - 4 x^{11} + 14 x^{10} + 8 x^{9} - 10 x^{8} + 2 x^{7} + 16 x^{6} + 4 x^{5} + 10 x^{4} + 8 x^{3} + 9 x^{2} + 6 x + 4$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 251^{6}$ |
$2$ |
$18.4923550097907$ |
$27.440845468024488$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$6$ |
$6$ |
$13542.715634868888$ |
| 14.0.710556262374296875.1 |
$x^{14} - 4 x^{13} + 20 x^{12} - 52 x^{11} + 151 x^{10} - 284 x^{9} + 582 x^{8} - 776 x^{7} + 1257 x^{6} - 1312 x^{5} + 2111 x^{4} - 2209 x^{3} + 2979 x^{2} - 2242 x + 1589$ |
$14$ |
[0,7] |
$-\,5^{7}\cdot 71^{7}$ |
$2$ |
$18.8414436814$ |
$18.841443681416774$ |
|
|
? |
$D_{14}$ (as 14T3) |
$[4]$ |
$[4]$ |
$2$ |
$6$ |
$368.795358492$ |
| 14.0.828633454351173747.1 |
$x^{14} - 6 x^{13} + 16 x^{12} - 24 x^{11} + 15 x^{10} + 21 x^{9} - 35 x^{8} - 54 x^{7} + 178 x^{6} - 147 x^{5} - 48 x^{4} + 180 x^{3} + 9 x^{2} - 324 x + 243$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 269^{6}$ |
$2$ |
$19.04947596384648$ |
$28.407745422683583$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$6$ |
$6$ |
$8487.111935118279$ |
| 14.2.926086842843828125.1 |
$x^{14} - x^{13} + 2 x^{12} + x^{11} + 22 x^{10} + x^{9} + 56 x^{8} + 58 x^{7} + 48 x^{6} + 8 x^{5} + 26 x^{4} + 15 x^{3} + 12 x^{2} + 3 x - 1$ |
$14$ |
[2,6] |
$5^{7}\cdot 151^{6}$ |
$2$ |
$19.201372165312335$ |
$27.477263328068172$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$7$ |
$2906.7041823567447$ |
| 14.0.987932783847085443.1 |
$x^{14} - x^{13} - 3 x^{12} + 13 x^{11} - 7 x^{10} - 9 x^{9} + 65 x^{8} - 53 x^{7} + 30 x^{6} + 23 x^{5} - 38 x^{4} - 36 x^{3} + 78 x^{2} - 45 x + 9$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 277^{6}$ |
$2$ |
$19.29024178920106$ |
$28.827070610799147$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$6$ |
$6$ |
$39319.83146600654$ |
| 14.2.118...221.1 |
$x^{14} - 2 x^{13} + 7 x^{12} - 10 x^{11} + 15 x^{10} - 3 x^{9} - 18 x^{8} + 55 x^{7} - 81 x^{6} + 72 x^{5} - 42 x^{4} - 10 x^{3} + 10 x^{2} - 2 x - 17$ |
$14$ |
[2,6] |
$3^{6}\cdot 149^{7}$ |
$2$ |
$19.5467101006$ |
$21.142374511865974$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$7$ |
$4290.26214182$ |
| 14.2.129...953.1 |
$x^{14} - 7 x^{13} + 21 x^{12} - 35 x^{11} + 35 x^{10} - 21 x^{9} + 16 x^{8} - 37 x^{7} + 70 x^{6} - 84 x^{5} + 77 x^{4} - 56 x^{3} + 36 x^{2} - 16 x + 1$ |
$14$ |
[2,6] |
$7^{6}\cdot 73^{7}$ |
$2$ |
$19.6718998326$ |
$22.60530911091463$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$7$ |
$6637.72229207$ |
| 14.0.158...512.1 |
$x^{14} - 3 x^{13} + 9 x^{11} - 9 x^{10} + 16 x^{9} - 19 x^{8} - 27 x^{7} + 58 x^{6} - 37 x^{5} + 43 x^{4} - 42 x^{3} + 22 x^{2} - 12 x + 4$ |
$14$ |
[0,7] |
$-\,2^{18}\cdot 67^{7}$ |
$2$ |
$19.956113586785936$ |
$23.15167380558045$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$6$ |
$3842.696661721992$ |
| 14.0.201...776.1 |
$x^{14} - 2 x^{12} - x^{10} + 8 x^{8} + 11 x^{6} + 2 x^{4} + 25 x^{2} + 1$ |
$14$ |
[0,7] |
$-\,2^{14}\cdot 223^{6}$ |
$2$ |
$20.297678323074038$ |
$29.866369046136157$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$4$ |
$6$ |
$9758.436389926499$ |
| 14.0.229...251.1 |
$x^{14} - 3 x^{13} + 3 x^{12} + 12 x^{11} - 37 x^{10} + 33 x^{9} + 54 x^{8} - 189 x^{7} + 284 x^{6} - 267 x^{5} + 213 x^{4} - 111 x^{3} + 58 x^{2} - 15 x + 9$ |
$14$ |
[0,7] |
$-\,19^{7}\cdot 37^{6}$ |
$2$ |
$20.486287048667165$ |
$26.514147167125703$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$6$ |
$5448.076581222814$ |
| 14.0.250...875.1 |
$x^{14} - 2 x^{13} + x^{12} - 5 x^{11} + 23 x^{10} - 29 x^{9} + 28 x^{8} - 16 x^{7} + 42 x^{6} - 59 x^{5} - 66 x^{4} + 205 x^{3} - 61 x^{2} - 104 x + 69$ |
$14$ |
[0,7] |
$-\,5^{6}\cdot 107^{7}$ |
$2$ |
$20.618186426441365$ |
$23.130067012440755$ |
|
|
|
$D_{14}$ (as 14T3) |
$[3]$ |
$[3]$ |
$2$ |
$6$ |
$2454.8825086094844$ |
| 14.2.334...125.1 |
$x^{14} + 9 x^{12} + 31 x^{10} - 22 x^{8} + 29 x^{6} - 51 x^{4} + 19 x^{2} - 5$ |
$14$ |
[2,6] |
$5^{7}\cdot 11^{6}\cdot 17^{6}$ |
$3$ |
$21.044150786822364$ |
$30.577769702841312$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$7$ |
$7000.7899877760865$ |
| 14.0.356...963.1 |
$x^{14} - 7 x^{10} - 7 x^{9} + 14 x^{8} + x^{7} + 49 x^{6} - 49 x^{5} - 63 x^{3} + 56 x^{2} + 7 x + 1$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 7^{18}$ |
$2$ |
$21.1404997819$ |
$24.2929018749972$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$6$ |
$6$ |
$19677.9819798$ |
| 14.2.391...037.1 |
$x^{14} - 2 x^{13} - 5 x^{12} - 2 x^{11} + 11 x^{10} + 64 x^{9} + 61 x^{8} - 118 x^{7} - 331 x^{6} - 409 x^{5} - 431 x^{4} - 385 x^{3} - 185 x^{2} - 39 x - 3$ |
$14$ |
[2,6] |
$3^{7}\cdot 151^{7}$ |
$2$ |
$21.2837966538$ |
$21.283796653792763$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
$[2]$ |
$2$ |
$7$ |
$6241.28591538$ |
| 14.2.446...173.1 |
$x^{14} - 7 x^{13} + 22 x^{12} - 41 x^{11} + 61 x^{10} - 96 x^{9} + 156 x^{8} - 213 x^{7} + 230 x^{6} - 197 x^{5} + 119 x^{4} - 40 x^{3} - 13 x^{2} + 18 x - 9$ |
$14$ |
[2,6] |
$19^{6}\cdot 37^{7}$ |
$2$ |
$21.48513661791844$ |
$26.514147167125703$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$7$ |
$13575.407460757579$ |
| 14.0.517...875.1 |
$x^{14} - 3 x^{13} + 7 x^{12} - 12 x^{11} + 21 x^{10} - 66 x^{9} + 103 x^{8} - 108 x^{7} + 40 x^{6} + 12 x^{5} + 321 x^{4} - 450 x^{3} + 495 x^{2} - 405 x + 243$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 5^{6}\cdot 73^{6}$ |
$3$ |
$21.711315615786983$ |
$33.090784215548595$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$6$ |
$6$ |
$13792.855727335002$ |
| 14.0.607...016.1 |
$x^{14} + 2 x^{10} + 40 x^{8} - 39 x^{6} + 24 x^{4} - 12 x^{2} + 16$ |
$14$ |
[0,7] |
$-\,2^{26}\cdot 67^{6}$ |
$2$ |
$21.961358076509992$ |
$32.7414110874898$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$4$ |
$6$ |
$69853.03931934701$ |
| 14.2.667...704.1 |
$x^{14} - 2 x^{13} - 7 x^{12} + 20 x^{11} - 5 x^{10} + 10 x^{9} - 47 x^{8} - 150 x^{7} + 527 x^{6} - 388 x^{5} - 283 x^{4} + 534 x^{3} - 126 x^{2} - 156 x + 76$ |
$14$ |
[2,6] |
$2^{12}\cdot 149^{7}$ |
$2$ |
$22.111532560646992$ |
$24.413111231467404$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$7$ |
$15761.735680795422$ |
| 14.0.734...875.1 |
$x^{14} - 4 x^{13} + 8 x^{12} - 6 x^{11} - 5 x^{10} - 14 x^{9} + 94 x^{8} - 218 x^{7} + 267 x^{6} - 185 x^{5} + 263 x^{4} - 396 x^{3} + 282 x^{2} - 67 x + 5$ |
$14$ |
[0,7] |
$-\,5^{6}\cdot 11^{7}\cdot 17^{6}$ |
$3$ |
$22.263332263991117$ |
$30.577769702841312$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$6$ |
$14682.852228116772$ |
| 14.2.749...313.1 |
$x^{14} - 4 x^{13} - 4 x^{12} + 32 x^{11} - 44 x^{10} + 76 x^{9} + 222 x^{8} - 1472 x^{7} + 483 x^{6} + 4460 x^{5} - 2122 x^{4} - 5110 x^{3} + 564 x^{2} + 2882 x - 1573$ |
$14$ |
[2,6] |
$7^{7}\cdot 71^{7}$ |
$2$ |
$22.2934968096$ |
$22.293496809607955$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
$[2]$ |
$2$ |
$7$ |
$6632.36500949$ |
| 14.2.861...125.1 |
$x^{14} - 2 x^{13} + 4 x^{12} - 7 x^{11} + 10 x^{10} + 28 x^{8} + 34 x^{7} + 143 x^{6} + 195 x^{5} + 434 x^{4} + 470 x^{3} + 470 x^{2} + 400 x + 125$ |
$14$ |
[2,6] |
$3^{6}\cdot 5^{7}\cdot 73^{6}$ |
$3$ |
$22.5181381879287$ |
$33.090784215548595$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$7$ |
$24382.325157601048$ |
| 14.2.113...625.1 |
$x^{14} - 3 x^{13} + 11 x^{12} - 21 x^{11} + 32 x^{10} - 28 x^{9} + 53 x^{8} - 131 x^{7} + 297 x^{6} - 501 x^{5} + 657 x^{4} - 542 x^{3} + 232 x^{2} - 41 x + 1$ |
$14$ |
[2,6] |
$5^{6}\cdot 11^{6}\cdot 17^{7}$ |
$3$ |
$22.966466642417625$ |
$30.577769702841312$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$7$ |
$8427.850414595947$ |
| 14.0.121...032.1 |
$x^{14} + 2 x^{12} + 14 x^{10} - 12 x^{8} + x^{6} + 26 x^{4} - 32 x^{2} + 32$ |
$14$ |
[0,7] |
$-\,2^{27}\cdot 67^{6}$ |
$2$ |
$23.07604279273337$ |
$32.7414110874898$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$6$ |
$56682.220607657284$ |
| 14.0.140...147.1 |
$x^{14} - x^{13} + 2 x^{12} + 3 x^{11} - 2 x^{10} + 16 x^{8} - 14 x^{7} - 6 x^{6} + x^{5} + 14 x^{4} - 73 x^{3} + 116 x^{2} + 63 x + 49$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 431^{6}$ |
$2$ |
$23.31429645993165$ |
$35.958309192730404$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$6$ |
$6$ |
$17802.71246487653$ |
| 14.2.151...472.1 |
$x^{14} - 2 x^{13} + 5 x^{12} - 18 x^{11} + 9 x^{10} - 36 x^{9} + 60 x^{8} + 16 x^{7} + 149 x^{6} + 38 x^{5} - 57 x^{4} + 106 x^{3} - 79 x^{2} + 56 x + 8$ |
$14$ |
[2,6] |
$2^{21}\cdot 139^{6}$ |
$2$ |
$23.441203649151642$ |
$33.34666400106613$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
trivial |
$2$ |
$7$ |
$31410.51916115807$ |
| 14.0.152...083.1 |
$x^{14} + 9 x^{12} + 39 x^{10} + 95 x^{8} + 234 x^{6} - 375 x^{4} + 103 x^{2} + 27$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 19^{6}\cdot 23^{6}$ |
$3$ |
$23.452844762657847$ |
$36.207733980463345$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
trivial |
$6$ |
$6$ |
$45963.04815797436$ |
