| 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 |
| 14.2.827...125.1 |
$x^{14} - 5$ |
$14$ |
[2,6] |
$5^{13}\cdot 7^{14}$ |
$2$ |
$31.1990676264$ |
$39.33222591614386$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
trivial |
trivial |
$2$ |
$7$ |
$112266.433572$ |
| 14.2.141...000.1 |
$x^{14} - 80$ |
$14$ |
[2,6] |
$2^{12}\cdot 5^{13}\cdot 7^{10}$ |
$3$ |
$32.4123666618$ |
$40.86181495167991$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
trivial |
trivial |
$2$ |
$7$ |
$124900.81966136963$ |
| 14.0.361...000.1 |
$x^{14} + 80$ |
$14$ |
[0,7] |
$-\,2^{20}\cdot 5^{13}\cdot 7^{10}$ |
$3$ |
$48.1645917568$ |
$60.720423661967125$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$3617350.9447090914$ |
| 14.2.171...125.1 |
$x^{14} - 5 x - 5$ |
$14$ |
[2,6] |
$5^{13}\cdot 11\cdot 887\cdot 1109\cdot 129654793$ |
$5$ |
$53.8238486826$ |
$166940530.4363459$ |
|
|
? |
$S_{14}$ (as 14T63) |
$[2]$ |
$[2]$ |
$2$ |
$7$ |
$5774585.27649$ |
| 14.2.339...000.1 |
$x^{14} - 1280$ |
$14$ |
[2,6] |
$2^{12}\cdot 5^{13}\cdot 7^{14}$ |
$3$ |
$56.5154677045$ |
$71.24825556085122$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2]$ |
$[2]$ |
$2$ |
$7$ |
$3209037.9147104514$ |
| 14.0.117...875.1 |
$x^{14} - 5 x + 5$ |
$14$ |
[0,7] |
$-\,5^{13}\cdot 83\cdot 7309\cdot 15820784233$ |
$4$ |
$61.74854416$ |
$436642099.33258444$ |
|
|
✓ |
$S_{14}$ (as 14T63) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$3940447.28813$ |
| 14.0.135...000.1 |
$x^{14} + 5$ |
$14$ |
[0,7] |
$-\,2^{14}\cdot 5^{13}\cdot 7^{14}$ |
$3$ |
$62.3981352529$ |
$78.66445183228772$ |
|
|
✓ |
$F_7 \times C_2$ (as 14T7) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$15760094.5604$ |
| 14.2.216...000.1 |
$x^{14} - 7 x^{13} - 11 x^{12} + 127 x^{11} + 11 x^{10} - 671 x^{9} + 237 x^{8} + 2561 x^{7} - 5092 x^{6} + 2974 x^{5} - 6066 x^{4} - 7708 x^{3} - 4724 x^{2} - 1712 x - 356$ |
$14$ |
[2,6] |
$2^{12}\cdot 3^{7}\cdot 5^{13}\cdot 7^{11}$ |
$4$ |
$64.5112587914$ |
$70.77473958578722$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2]$ |
$[2, 2]$ |
$2$ |
$7$ |
$33008527.197610967$ |
| 14.0.323...000.1 |
$x^{14} + 10 x^{12} + 380 x^{10} + 720 x^{8} + 1600 x^{6} + 13760 x^{4} - 5760 x^{2} + 54880$ |
$14$ |
[0,7] |
$-\,2^{27}\cdot 5^{13}\cdot 7^{11}$ |
$3$ |
$78.272107431$ |
$85.8716466557941$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$6$ |
$22812737.29446636$ |
| 14.2.323...000.1 |
$x^{14} - 10 x^{12} + 380 x^{10} - 720 x^{8} + 1600 x^{6} - 13760 x^{4} - 5760 x^{2} - 54880$ |
$14$ |
[2,6] |
$2^{27}\cdot 5^{13}\cdot 7^{11}$ |
$3$ |
$78.272107431$ |
$85.8716466557941$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2]$ |
$[2, 2]$ |
$2$ |
$7$ |
$148340748.8484734$ |
| 14.2.750...000.1 |
$x^{14} - 25920$ |
$14$ |
[2,6] |
$2^{12}\cdot 3^{12}\cdot 5^{13}\cdot 7^{10}$ |
$4$ |
$83.1135473353$ |
$104.78008059808623$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
trivial |
trivial |
$2$ |
$7$ |
$116830335.09922236$ |
| 14.2.750...000.2 |
$x^{14} - 184320$ |
$14$ |
[2,6] |
$2^{12}\cdot 3^{12}\cdot 5^{13}\cdot 7^{10}$ |
$4$ |
$83.1135473353$ |
$104.78008059808623$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
trivial |
trivial |
$2$ |
$7$ |
$93850785.57387021$ |
| 14.2.750...000.3 |
$x^{14} - 870 x^{7} - 900$ |
$14$ |
[2,6] |
$2^{12}\cdot 3^{12}\cdot 5^{13}\cdot 7^{10}$ |
$4$ |
$83.1135473353$ |
$104.78008059808623$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
trivial |
trivial |
$2$ |
$7$ |
$145796753.1376601$ |
| 14.0.868...000.1 |
$x^{14} + 1280$ |
$14$ |
[0,7] |
$-\,2^{20}\cdot 5^{13}\cdot 7^{14}$ |
$3$ |
$83.9816622568$ |
$105.87450087439474$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2, 2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$6$ |
$24508512.9090127$ |
| 14.0.553...000.1 |
$x^{14} - 2 x^{13} + 24 x^{12} + 272 x^{11} + 446 x^{10} - 816 x^{9} + 1392 x^{8} - 2444 x^{7} - 32192 x^{6} - 50916 x^{5} - 130756 x^{4} - 229648 x^{3} + 2106736 x^{2} - 391632 x + 1463604$ |
$14$ |
[0,7] |
$-\,2^{20}\cdot 3^{7}\cdot 5^{13}\cdot 7^{11}$ |
$4$ |
$95.8633621491$ |
$105.17085883963452$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2, 2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$6$ |
$101197239.1899543$ |
| 14.2.157...000.1 |
$x^{14} - 15 x^{12} + 225 x^{10} + 2925 x^{8} + 2115 x^{6} + 61515 x^{4} + 580875 x^{2} - 655305$ |
$14$ |
[2,6] |
$2^{12}\cdot 3^{13}\cdot 5^{13}\cdot 7^{11}$ |
$4$ |
$103.303742146$ |
$113.33363486654488$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2]$ |
$[2, 2]$ |
$2$ |
$7$ |
$898897850.3833008$ |
| 14.0.275...000.1 |
$x^{14} - 1940 x^{7} + 1310720$ |
$14$ |
[0,7] |
$-\,2^{12}\cdot 5^{13}\cdot 7^{10}\cdot 11^{7}$ |
$4$ |
$107.499658784$ |
$135.52330844765655$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[4]$ |
$[4]$ |
$2$ |
$6$ |
$637840049.7415897$ |
| 14.2.519...000.1 |
$x^{14} - 105 x^{12} + 4095 x^{10} - 74025 x^{8} - 12700 x^{7} + 612675 x^{6} + 384300 x^{5} - 1677375 x^{4} - 2499000 x^{3} - 3378375 x^{2} - 535500 x - 2808875$ |
$14$ |
[2,6] |
$2^{12}\cdot 3^{7}\cdot 5^{13}\cdot 7^{15}$ |
$4$ |
$112.4843489786252$ |
$123.40559858204611$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$7$ |
$852263579.840993$ |
| 14.2.180...000.1 |
$x^{14} - 7 x^{13} + 14 x^{12} + 7 x^{11} - 49 x^{10} + 14 x^{9} + 77 x^{8} + 91 x^{7} - 497 x^{6} + 3794 x^{5} - 8351 x^{4} + 14707 x^{3} - 13874 x^{2} + 7553 x + 1859$ |
$14$ |
[2,6] |
$2^{12}\cdot 3^{12}\cdot 5^{13}\cdot 7^{14}$ |
$4$ |
$144.92002541$ |
$182.6986385447404$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[7]$ |
$[7]$ |
$2$ |
$7$ |
$623409483.7698517$ |
| 14.2.180...000.2 |
$x^{14} - 180$ |
$14$ |
[2,6] |
$2^{12}\cdot 3^{12}\cdot 5^{13}\cdot 7^{14}$ |
$4$ |
$144.92002541$ |
$182.6986385447404$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
trivial |
trivial |
$2$ |
$7$ |
$4515936390.780555$ |
| 14.2.180...000.3 |
$x^{14} - 103680$ |
$14$ |
[2,6] |
$2^{12}\cdot 3^{12}\cdot 5^{13}\cdot 7^{14}$ |
$4$ |
$144.92002541$ |
$182.6986385447404$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2]$ |
$[2]$ |
$2$ |
$7$ |
$2209295371.319138$ |
| 14.2.180...000.4 |
$x^{14} - 7 x^{13} + 14 x^{12} + 7 x^{11} - 49 x^{10} + 14 x^{9} + 77 x^{8} + 451 x^{7} - 1757 x^{6} + 15134 x^{5} - 33551 x^{4} + 58807 x^{3} - 55454 x^{2} + 30233 x + 50639$ |
$14$ |
[2,6] |
$2^{12}\cdot 3^{12}\cdot 5^{13}\cdot 7^{14}$ |
$4$ |
$144.92002541$ |
$182.6986385447404$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2]$ |
$[2]$ |
$2$ |
$7$ |
$2487706161.200316$ |
| 14.2.180...000.5 |
$x^{14} - 1620$ |
$14$ |
[2,6] |
$2^{12}\cdot 3^{12}\cdot 5^{13}\cdot 7^{14}$ |
$4$ |
$144.92002541$ |
$182.6986385447404$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
trivial |
trivial |
$2$ |
$7$ |
$4201207403.887268$ |
| 14.2.180...000.6 |
$x^{14} - 720$ |
$14$ |
[2,6] |
$2^{12}\cdot 3^{12}\cdot 5^{13}\cdot 7^{14}$ |
$4$ |
$144.92002541$ |
$182.6986385447404$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
trivial |
trivial |
$2$ |
$7$ |
$4176683296.6763973$ |
| 14.2.180...000.7 |
$x^{14} - 6480$ |
$14$ |
[2,6] |
$2^{12}\cdot 3^{12}\cdot 5^{13}\cdot 7^{14}$ |
$4$ |
$144.92002541$ |
$182.6986385447404$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
trivial |
trivial |
$2$ |
$7$ |
$4544985243.888383$ |
| 14.2.378...000.1 |
$x^{14} - 420 x^{11} + 2100 x^{10} + 6090 x^{9} - 107310 x^{8} + 622710 x^{7} - 2442300 x^{6} + 7242900 x^{5} - 16154880 x^{4} + 25877040 x^{3} - 27647760 x^{2} + 17366160 x - 4782480$ |
$14$ |
[2,6] |
$2^{12}\cdot 3^{13}\cdot 5^{13}\cdot 7^{15}$ |
$4$ |
$180.124437192625$ |
$197.61294964896845$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2]$ |
$[2, 2]$ |
$2$ |
$7$ |
$45532024055.155136$ |
| 14.2.378...000.2 |
$x^{14} - 7 x^{13} + 49 x^{12} + 7 x^{11} + 161 x^{10} - 3941 x^{9} + 31647 x^{8} - 59709 x^{7} + 107898 x^{6} - 16856 x^{5} + 233954 x^{4} + 737212 x^{3} + 106876 x^{2} + 70028 x + 205354$ |
$14$ |
[2,6] |
$2^{12}\cdot 3^{13}\cdot 5^{13}\cdot 7^{15}$ |
$4$ |
$180.124437192625$ |
$197.61294964896845$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$7$ |
$22259005136.311165$ |
| 14.0.461...000.1 |
$x^{14} + 103680$ |
$14$ |
[0,7] |
$-\,2^{20}\cdot 3^{12}\cdot 5^{13}\cdot 7^{14}$ |
$4$ |
$215.350330142$ |
$271.4891335105798$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$6$ |
$24828861586.315315$ |
| 14.0.461...000.2 |
$x^{14} + 720$ |
$14$ |
[0,7] |
$-\,2^{20}\cdot 3^{12}\cdot 5^{13}\cdot 7^{14}$ |
$4$ |
$215.350330142$ |
$271.4891335105798$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$69973617901.9121$ |
| 14.0.461...000.3 |
$x^{14} + 1620$ |
$14$ |
[0,7] |
$-\,2^{20}\cdot 3^{12}\cdot 5^{13}\cdot 7^{14}$ |
$4$ |
$215.350330142$ |
$271.4891335105798$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$69442109140.72594$ |
| 14.0.461...000.4 |
$x^{14} + 6480$ |
$14$ |
[0,7] |
$-\,2^{20}\cdot 3^{12}\cdot 5^{13}\cdot 7^{14}$ |
$4$ |
$215.350330142$ |
$271.4891335105798$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$66953723850.05595$ |
| 14.0.968...000.1 |
$x^{14} + 105 x^{12} - 420 x^{11} + 1365 x^{10} - 13020 x^{9} - 20055 x^{8} + 423330 x^{7} + 1815555 x^{6} + 5258610 x^{5} + 18210255 x^{4} + 43441650 x^{3} + 53117295 x^{2} + 27863010 x + 22749945$ |
$14$ |
[0,7] |
$-\,2^{20}\cdot 3^{13}\cdot 5^{13}\cdot 7^{15}$ |
$4$ |
$267.6638850022477$ |
$293.6517146378745$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2, 2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$6$ |
$71441682273.37299$ |
| 14.2.469...000.1 |
$x^{14} - 48020$ |
$14$ |
[2,6] |
$2^{12}\cdot 5^{13}\cdot 7^{26}$ |
$3$ |
$299.596733967$ |
$377.69739035836295$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[3]$ |
$[3]$ |
$2$ |
$7$ |
$232748224833.91092$ |
| 14.2.469...000.2 |
$x^{14} - 3920$ |
$14$ |
[2,6] |
$2^{12}\cdot 5^{13}\cdot 7^{26}$ |
$3$ |
$299.596733967$ |
$377.69739035836295$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[4]$ |
$[4]$ |
$2$ |
$7$ |
$169887499173.80878$ |
| 14.0.413...000.1 |
$x^{14} + 70 x^{12} + 2940 x^{10} + 29540 x^{8} + 322280 x^{6} + 194880 x^{4} + 76300 x^{2} + 11830$ |
$14$ |
[0,7] |
$-\,2^{27}\cdot 3^{12}\cdot 5^{13}\cdot 7^{15}$ |
$4$ |
$349.9650585902723$ |
$383.94361464758185$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$6$ |
$567982072860.4799$ |
| 14.2.413...000.1 |
$x^{14} - 70 x^{12} + 2940 x^{10} - 29540 x^{8} + 322280 x^{6} - 194880 x^{4} + 76300 x^{2} - 11830$ |
$14$ |
[2,6] |
$2^{27}\cdot 3^{12}\cdot 5^{13}\cdot 7^{15}$ |
$4$ |
$349.9650585902723$ |
$383.94361464758185$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2]$ |
$[2, 2]$ |
$2$ |
$7$ |
$3999153870696.913$ |
| 14.2.106...000.1 |
$x^{14} - 154880$ |
$14$ |
[2,6] |
$2^{12}\cdot 5^{13}\cdot 7^{14}\cdot 11^{12}$ |
$4$ |
$441.356602273$ |
$556.4120632717054$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[7]$ |
$[7]$ |
$2$ |
$7$ |
$1574287623790.019$ |
| 14.2.106...000.2 |
$x^{14} - 7 x^{13} + 14 x^{12} + 7 x^{11} - 49 x^{10} + 14 x^{9} + 77 x^{8} + 2171 x^{7} - 7777 x^{6} + 69314 x^{5} - 153951 x^{4} + 269507 x^{3} - 254114 x^{2} + 138593 x + 1178099$ |
$14$ |
[2,6] |
$2^{12}\cdot 5^{13}\cdot 7^{14}\cdot 11^{12}$ |
$4$ |
$441.356602273$ |
$556.4120632717054$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2, 28]$ |
$[2, 28]$ |
$2$ |
$7$ |
$187713814881.34534$ |
| 14.0.117...000.1 |
$x^{14} - 45100 x^{7} + 1802240000$ |
$14$ |
[0,7] |
$-\,2^{12}\cdot 5^{13}\cdot 7^{14}\cdot 11^{13}$ |
$4$ |
$523.811247322$ |
$660.3614750213347$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[28]$ |
$[28]$ |
$2$ |
$6$ |
$4435424302328.362$ |
| 14.0.272...000.1 |
$x^{14} + 154880$ |
$14$ |
[0,7] |
$-\,2^{20}\cdot 5^{13}\cdot 7^{14}\cdot 11^{12}$ |
$4$ |
$655.853390451$ |
$826.8251484286607$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[14]$ |
$[14]$ |
$2$ |
$6$ |
$37004205722717.836$ |
| 14.2.750...000.1 |
$x^{14} - 7220$ |
$14$ |
[2,6] |
$2^{12}\cdot 5^{13}\cdot 7^{14}\cdot 19^{12}$ |
$4$ |
$705.085593493$ |
$888.891494628113$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
trivial |
trivial |
$2$ |
$7$ |
$479353889722540.94$ |
| 14.2.162...000.1 |
$x^{14} - 7 x^{13} - 161 x^{12} + 1057 x^{11} + 11501 x^{10} - 67361 x^{9} - 475923 x^{8} + 2317351 x^{7} + 12382468 x^{6} - 46882766 x^{5} - 198795926 x^{4} + 421319682 x^{3} + 2002116046 x^{2} - 2513009142 x - 7869804486$ |
$14$ |
[2,6] |
$2^{12}\cdot 3^{7}\cdot 5^{13}\cdot 7^{15}\cdot 11^{12}$ |
$5$ |
$878.4446469361902$ |
$963.7339635308226$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[14]$ |
$[2, 14]$ |
$2$ |
$7$ |
$402371613010501.9$ |
| 14.2.350...000.1 |
$x^{14} - 2245140 x^{7} - 30993639120$ |
$14$ |
[2,6] |
$2^{12}\cdot 3^{12}\cdot 5^{13}\cdot 7^{14}\cdot 41^{7}$ |
$5$ |
$927.940927195$ |
$1169.8420806118104$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2, 4]$ |
$[4, 4]$ |
$2$ |
$7$ |
$623275298582369.2$ |
| 14.2.119...000.1 |
$x^{14} - 16820$ |
$14$ |
[2,6] |
$2^{12}\cdot 5^{13}\cdot 7^{14}\cdot 29^{12}$ |
$4$ |
$1013.09768797$ |
$1277.1980116716222$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[2, 14, 28]$ |
$[2, 14, 28]$ |
$2$ |
$7$ |
$5074640544113.246$ |
| 14.2.419...000.1 |
$x^{14} - 88704720$ |
$14$ |
[2,6] |
$2^{12}\cdot 3^{12}\cdot 5^{13}\cdot 7^{14}\cdot 13^{12}$ |
$5$ |
$1305.98139252$ |
$1646.432380224167$ |
|
|
? |
$F_7 \times C_2$ (as 14T7) |
$[28]$ |
$[28]$ |
$2$ |
$7$ |
$763899052587489.2$ |
| 21.1.297...000.1 |
$x^{21} + 21 x^{19} - 2 x^{18} + 209 x^{17} - 26 x^{16} + 1081 x^{15} - 450 x^{14} + 2345 x^{13} - 2990 x^{12} - 107 x^{11} - 5360 x^{10} - 1817 x^{9} + 13424 x^{8} + 28897 x^{7} + 59776 x^{6} + 72068 x^{5} + 63024 x^{4} + 32992 x^{3} + 7616 x^{2} + 576 x + 64$ |
$21$ |
[1,10] |
$2^{26}\cdot 5^{19}\cdot 7^{17}$ |
$3$ |
$48.8913716313$ |
$60.720423661967125$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
$[3]$ |
$[3]$ |
$2$ |
$10$ |
$2812507698.960895$ |
| 21.1.520...000.1 |
$x^{21} - 7 x^{20} - 21 x^{19} + 329 x^{18} - 511 x^{17} - 5313 x^{16} + 22673 x^{15} + 17861 x^{14} - 305914 x^{13} + 484596 x^{12} + 1641416 x^{11} - 6850424 x^{10} + 2950976 x^{9} + 28662816 x^{8} - 56752004 x^{7} - 29714272 x^{6} + 268519692 x^{5} - 350328916 x^{4} - 99703156 x^{3} + 680126244 x^{2} - 678292132 x + 258383116$ |
$21$ |
[1,10] |
$2^{18}\cdot 5^{19}\cdot 7^{21}\cdot 211^{7}$ |
$4$ |
$323.80682739$ |
$1034.9406926089928$ |
|
|
|
$S_3\times F_7$ (as 21T15) |
$[2]$ |
$[2]$ |
$2$ |
$10$ |
$2795263802088440300$ |
| 21.1.207...000.1 |
$x^{21} - 7 x^{20} - 49 x^{19} + 539 x^{18} + 161 x^{17} - 16051 x^{16} + 38241 x^{15} + 209059 x^{14} - 1086554 x^{13} - 407106 x^{12} + 13782440 x^{11} - 27422584 x^{10} - 41136060 x^{9} + 183654100 x^{8} + 84516280 x^{7} - 1385748588 x^{6} + 3217907756 x^{5} - 2441792668 x^{4} - 4210424932 x^{3} + 11145838172 x^{2} - 7005312580 x + 1393873588$ |
$21$ |
[1,10] |
$2^{33}\cdot 3^{19}\cdot 5^{19}\cdot 7^{21}\cdot 41^{7}$ |
$5$ |
$831.423628459$ |
$2659.129372520378$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
not computed |
$2$ |
$10$ |
|
| 21.1.184...000.1 |
$x^{21} - 7 x^{20} + 56 x^{19} - 161 x^{18} + 581 x^{17} + 434 x^{16} - 1099 x^{15} + 19159 x^{14} + 8281 x^{13} + 87794 x^{12} + 966385 x^{11} - 2665229 x^{10} + 2983120 x^{9} - 37440235 x^{8} + 138040805 x^{7} - 189202188 x^{6} + 722578416 x^{5} - 1035586608 x^{4} + 1556164848 x^{3} - 2269756608 x^{2} + 1964250960 x - 685324272$ |
$21$ |
[1,10] |
$2^{18}\cdot 3^{18}\cdot 5^{19}\cdot 7^{21}\cdot 13^{7}\cdot 83^{7}$ |
$6$ |
$1430.51826331$ |
$6001.309618380285$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
not computed |
$2$ |
$10$ |
|
| 21.1.670...000.1 |
$x^{21} - 7 x^{20} - 49 x^{19} + 119 x^{18} + 2681 x^{17} + 2849 x^{16} - 59199 x^{15} - 275051 x^{14} + 372946 x^{13} + 6005034 x^{12} + 15049580 x^{11} - 44208724 x^{10} - 258483120 x^{9} - 193560080 x^{8} + 699630280 x^{7} + 7646828112 x^{6} + 21977505536 x^{5} - 19136576368 x^{4} - 106034214832 x^{3} - 140692650448 x^{2} - 190888547920 x - 142292871632$ |
$21$ |
[1,10] |
$2^{33}\cdot 3^{19}\cdot 5^{19}\cdot 7^{21}\cdot 349^{7}$ |
$5$ |
$1697.60333376$ |
$7758.187159241199$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
not computed |
$2$ |
$10$ |
|
