| 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 |
| 21.3.657...567.1 |
$x^{21} - 4 x^{20} + 12 x^{19} - 22 x^{18} + 41 x^{17} - 54 x^{16} + 79 x^{15} - 60 x^{14} + 57 x^{13} + 46 x^{12} - 70 x^{11} + 222 x^{10} - 182 x^{9} + 306 x^{8} - 168 x^{7} + 207 x^{6} - 48 x^{5} + 42 x^{4} + 5 x^{3} - 17 x^{2} - 15 x - 1$ |
$21$ |
[3,9] |
$-\,3^{24}\cdot 7^{17}$ |
$2$ |
$16.959319372$ |
$21.898281770364438$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$31647.6272279$ |
| 21.3.108...223.1 |
$x^{21} - 9 x^{14} - 12 x^{7} + 1$ |
$21$ |
[3,9] |
$-\,3^{28}\cdot 7^{15}$ |
$2$ |
$17.3701324536$ |
$21.898281770364438$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$51151.7616302$ |
| 21.3.772...983.1 |
$x^{21} - 7 x^{19} - 7 x^{18} + 42 x^{17} - 175 x^{15} + 280 x^{13} - 119 x^{12} - 588 x^{11} - 63 x^{10} + 448 x^{9} - 147 x^{8} - 637 x^{7} - 259 x^{6} + 147 x^{5} - 182 x^{3} - 147 x^{2} - 49 x - 7$ |
$21$ |
[3,9] |
$-\,3^{24}\cdot 7^{23}$ |
$2$ |
$29.570931251626824$ |
$38.18269887824235$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$27889140.491911642$ |
| 21.3.127...727.3 |
$x^{21} - 9 x^{14} + 15 x^{7} + 1$ |
$21$ |
[3,9] |
$-\,3^{28}\cdot 7^{21}$ |
$2$ |
$30.2872409765$ |
$38.18269887824235$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$45076954.940072164$ |
| 21.3.172...648.1 |
$x^{21} - x^{20} - x^{19} - 26 x^{18} + 25 x^{17} + 28 x^{16} + 330 x^{15} - 125 x^{14} - 104 x^{13} - 2062 x^{12} - 109 x^{11} - 751 x^{10} + 5539 x^{9} + 340 x^{8} + 2923 x^{7} - 6382 x^{6} + 3416 x^{5} + 1031 x^{4} + 8397 x^{3} - 397 x^{2} - 1378 x - 2197$ |
$21$ |
[3,9] |
$-\,2^{18}\cdot 3^{24}\cdot 7^{17}$ |
$3$ |
$30.720913770020566$ |
$39.667584012275974$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$18296774.24958717$ |
| 21.3.172...648.2 |
$x^{21} - 6 x^{20} + 29 x^{19} - 77 x^{18} + 213 x^{17} - 414 x^{16} + 1128 x^{15} - 2157 x^{14} + 5178 x^{13} - 7411 x^{12} + 12573 x^{11} - 12131 x^{10} + 16268 x^{9} - 11658 x^{8} + 1875 x^{7} - 2158 x^{6} - 1110 x^{5} + 2269 x^{4} - 554 x^{3} - 279 x^{2} + 127 x - 13$ |
$21$ |
[3,9] |
$-\,2^{18}\cdot 3^{24}\cdot 7^{17}$ |
$3$ |
$30.720913770020566$ |
$39.667584012275974$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$19624254.06882178$ |
| 21.3.183...527.1 |
$x^{21} - 10 x^{20} + 55 x^{19} - 232 x^{18} + 778 x^{17} - 2176 x^{16} + 5171 x^{15} - 10560 x^{14} + 18589 x^{13} - 28136 x^{12} + 36163 x^{11} - 38416 x^{10} + 31475 x^{9} - 15502 x^{8} - 4692 x^{7} + 21382 x^{6} - 28506 x^{5} + 25066 x^{4} - 15737 x^{3} + 6646 x^{2} - 1564 x + 8$ |
$21$ |
[3,9] |
$-\,7^{17}\cdot 31^{12}$ |
$2$ |
$34.38220037193264$ |
$49.94471001444876$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$129961348.56213313$ |
| 21.3.637...983.1 |
$x^{21} - 7 x^{20} + 35 x^{19} - 119 x^{18} + 308 x^{17} - 581 x^{16} + 567 x^{15} + 577 x^{14} - 4417 x^{13} + 11424 x^{12} - 19446 x^{11} + 21686 x^{10} - 4879 x^{9} - 35686 x^{8} + 95042 x^{7} - 153013 x^{6} + 182791 x^{5} - 161294 x^{4} + 103152 x^{3} - 48545 x^{2} + 14658 x - 2813$ |
$21$ |
[3,9] |
$-\,7^{23}\cdot 13^{12}$ |
$2$ |
$36.48569523045558$ |
$48.790340734004666$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$111526967.37508436$ |
| 21.3.637...983.2 |
$x^{21} - 7 x^{20} + 21 x^{19} - 42 x^{18} + 147 x^{17} - 378 x^{16} + 448 x^{15} - 534 x^{14} + 1694 x^{13} - 1834 x^{12} - 1960 x^{11} + 3710 x^{10} - 4452 x^{9} + 10472 x^{8} - 10263 x^{7} + 2989 x^{6} + 9009 x^{5} - 20454 x^{4} + 16667 x^{3} - 4522 x^{2} - 952 x + 568$ |
$21$ |
[3,9] |
$-\,7^{23}\cdot 13^{12}$ |
$2$ |
$36.48569523045558$ |
$48.790340734004666$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$265531787.87653637$ |
| 21.3.139...488.1 |
$x^{21} - 6 x^{20} + 27 x^{19} - 106 x^{18} + 291 x^{17} - 654 x^{16} + 1319 x^{15} - 2328 x^{14} + 3921 x^{13} - 5612 x^{12} + 7467 x^{11} - 10410 x^{10} + 10203 x^{9} - 11046 x^{8} + 13119 x^{7} - 7050 x^{6} + 8664 x^{5} - 6660 x^{4} + 2044 x^{3} - 2778 x^{2} + 1104 x - 62$ |
$21$ |
[3,9] |
$-\,2^{18}\cdot 3^{28}\cdot 7^{17}$ |
$3$ |
$37.8716623249$ |
$39.667584012275974$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
$[3]$ |
$2$ |
$11$ |
$470357525.1874316$ |
| 21.3.139...488.2 |
$x^{21} - 21 x^{19} - 2 x^{18} + 189 x^{17} - 843 x^{15} + 126 x^{14} + 1869 x^{13} - 1072 x^{12} - 2457 x^{11} + 7770 x^{10} + 1395 x^{9} - 24948 x^{8} - 9723 x^{7} + 52888 x^{6} + 40320 x^{5} - 48594 x^{4} - 75620 x^{3} - 9702 x^{2} + 28266 x + 11494$ |
$21$ |
[3,9] |
$-\,2^{18}\cdot 3^{28}\cdot 7^{17}$ |
$3$ |
$37.8716623249$ |
$39.667584012275974$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
$[3]$ |
$2$ |
$11$ |
$438540258.63952965$ |
| 21.3.142...648.1 |
$x^{21} - 6 x^{20} + 13 x^{19} - 23 x^{18} + 21 x^{17} + 66 x^{16} - 200 x^{15} + 193 x^{14} + 564 x^{13} - 2025 x^{12} + 3029 x^{11} - 583 x^{10} - 9442 x^{9} + 23460 x^{8} - 34129 x^{7} + 19660 x^{6} + 22850 x^{5} - 88747 x^{4} + 128712 x^{3} - 122069 x^{2} + 68467 x - 22399$ |
$21$ |
[3,9] |
$-\,2^{18}\cdot 7^{17}\cdot 13^{12}$ |
$3$ |
$37.904585671525396$ |
$50.687745940257436$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$174877916.03122854$ |
| 21.3.142...648.2 |
$x^{21} - 5 x^{20} + 7 x^{19} + 16 x^{18} - 81 x^{17} + 194 x^{16} - 244 x^{15} - 599 x^{14} + 2916 x^{13} - 2870 x^{12} - 4831 x^{11} + 13195 x^{10} - 7049 x^{9} - 10704 x^{8} + 19015 x^{7} - 10348 x^{6} - 1724 x^{5} + 7261 x^{4} - 4201 x^{3} - 6845 x^{2} + 11752 x - 4843$ |
$21$ |
[3,9] |
$-\,2^{18}\cdot 7^{17}\cdot 13^{12}$ |
$3$ |
$37.904585671525396$ |
$50.687745940257436$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$184980710.13556415$ |
| 21.3.153...167.1 |
$x^{21} - x^{20} - 8 x^{19} + 11 x^{18} + 46 x^{17} - 83 x^{16} - 159 x^{15} + 225 x^{14} + 276 x^{13} - 1347 x^{12} - 1255 x^{11} + 3112 x^{10} + 2853 x^{9} - 3241 x^{8} - 3369 x^{7} + 1637 x^{6} + 1769 x^{5} - 306 x^{4} - 447 x^{3} - 14 x^{2} + 42 x + 7$ |
$21$ |
[3,9] |
$-\,7^{17}\cdot 37^{12}$ |
$2$ |
$38.040153055968844$ |
$56.197394763787415$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$136309585.67806032$ |
| 21.3.219...023.1 |
$x^{21} - 12 x^{14} + 35 x^{7} + 1$ |
$21$ |
[3,9] |
$-\,7^{21}\cdot 13^{14}$ |
$2$ |
$38.7014236958$ |
$48.790340734004666$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$289729784.9428032$ |
| 21.3.219...023.2 |
$x^{21} - 17 x^{14} - 25 x^{7} + 1$ |
$21$ |
[3,9] |
$-\,7^{21}\cdot 13^{14}$ |
$2$ |
$38.7014236958$ |
$48.790340734004666$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$689810452.1950266$ |
| 21.3.605...223.1 |
$x^{21} - 7 x^{20} + 21 x^{19} - 42 x^{18} + 63 x^{17} - 126 x^{16} + 322 x^{15} - 654 x^{14} + 882 x^{13} - 224 x^{12} + 2954 x^{11} - 5124 x^{10} - 1148 x^{9} + 7406 x^{8} - 8607 x^{7} - 21147 x^{6} + 20615 x^{5} + 40992 x^{4} + 13573 x^{3} - 12306 x^{2} - 16324 x - 152888$ |
$21$ |
[3,9] |
$-\,7^{23}\cdot 19^{12}$ |
$2$ |
$45.32104457095039$ |
$62.835829148365725$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$2524649645.533491$ |
| 21.3.605...223.2 |
$x^{21} - 7 x^{20} + 35 x^{19} - 105 x^{18} + 238 x^{17} - 476 x^{16} + 1120 x^{15} - 1765 x^{14} + 2044 x^{13} + 1036 x^{12} - 6076 x^{11} + 9562 x^{10} - 1757 x^{9} - 16989 x^{8} - 7569 x^{7} + 88956 x^{6} - 222222 x^{5} + 299278 x^{4} - 216944 x^{3} + 111594 x^{2} - 42812 x + 11971$ |
$21$ |
[3,9] |
$-\,7^{23}\cdot 19^{12}$ |
$2$ |
$45.32104457095039$ |
$62.835829148365725$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$979228153.7979808$ |
| 21.3.134...088.1 |
$x^{21} - 2 x^{20} + 17 x^{19} - 37 x^{18} + 129 x^{17} - 334 x^{16} + 886 x^{15} - 2299 x^{14} + 3404 x^{13} - 9153 x^{12} + 16521 x^{11} - 22367 x^{10} + 105690 x^{9} - 88250 x^{8} - 11503 x^{7} - 467820 x^{6} + 679122 x^{5} - 148093 x^{4} + 402226 x^{3} - 365661 x^{2} - 412083 x + 294057$ |
$21$ |
[3,9] |
$-\,2^{18}\cdot 7^{17}\cdot 19^{12}$ |
$3$ |
$47.08353248614141$ |
$65.27944867574944$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$2906803799.844238$ |
| 21.3.176...447.1 |
$x^{21} + 7 x^{19} - 3 x^{18} - 3 x^{17} - 16 x^{16} - 353 x^{15} - 213 x^{14} - 420 x^{13} - 916 x^{12} + 2308 x^{11} + 2660 x^{10} + 1560 x^{9} + 6188 x^{8} - 3301 x^{7} - 10148 x^{6} - 6715 x^{5} + 1703 x^{4} + 9951 x^{3} + 12672 x^{2} + 11237 x + 7785$ |
$21$ |
[3,9] |
$-\,7^{17}\cdot 31^{14}$ |
$2$ |
$47.6834987479$ |
$49.94471001444876$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
$[3]$ |
$2$ |
$11$ |
$6975844064.607592$ |
| 21.3.240...512.1 |
$x^{21} - 7 x^{20} + 27 x^{19} - 19 x^{18} - 185 x^{17} + 661 x^{16} + 75 x^{15} - 4907 x^{14} + 5248 x^{13} + 17006 x^{12} - 24814 x^{11} - 42058 x^{10} + 51928 x^{9} + 130100 x^{8} - 180216 x^{7} - 69004 x^{6} + 106640 x^{5} + 97712 x^{4} - 82628 x^{3} - 16944 x^{2} + 21492 x + 2484$ |
$21$ |
[3,9] |
$-\,2^{18}\cdot 7^{17}\cdot 13^{14}$ |
$3$ |
$48.39289425$ |
$50.687745940257436$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
$[3]$ |
$2$ |
$11$ |
$5499663708.5292225$ |
| 21.3.240...512.2 |
$x^{21} - 7 x^{20} + 23 x^{19} - 59 x^{18} + 159 x^{17} - 439 x^{16} + 1181 x^{15} - 2881 x^{14} + 6088 x^{13} - 11638 x^{12} + 20752 x^{11} - 35784 x^{10} + 61024 x^{9} - 90396 x^{8} + 95820 x^{7} - 47992 x^{6} - 56240 x^{5} + 172576 x^{4} - 215232 x^{3} + 149248 x^{2} - 53248 x + 5888$ |
$21$ |
[3,9] |
$-\,2^{18}\cdot 7^{17}\cdot 13^{14}$ |
$3$ |
$48.39289425$ |
$50.687745940257436$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
$[3]$ |
$2$ |
$11$ |
$5199297416.013432$ |
| 21.3.446...847.1 |
$x^{21} - 24 x^{14} - 55 x^{7} + 1$ |
$21$ |
[3,9] |
$-\,7^{21}\cdot 19^{14}$ |
$2$ |
$49.8425715123$ |
$62.835829148365725$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$3638005070.434036$ |
| 21.3.446...847.2 |
$x^{21} - 17 x^{14} + 71 x^{7} + 1$ |
$21$ |
[3,9] |
$-\,7^{21}\cdot 19^{14}$ |
$2$ |
$49.8425715123$ |
$62.835829148365725$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$9379518119.344406$ |
| 21.3.909...967.1 |
$x^{21} - 7 x^{20} + 21 x^{19} - 35 x^{18} + 21 x^{17} + 105 x^{16} - 511 x^{15} + 1276 x^{14} + 693 x^{13} - 16583 x^{12} + 52171 x^{11} - 83223 x^{10} + 57372 x^{9} + 94934 x^{8} - 421464 x^{7} + 789915 x^{6} - 891023 x^{5} + 366891 x^{4} + 870625 x^{3} - 1882076 x^{2} + 1544928 x - 500032$ |
$21$ |
[3,9] |
$-\,3^{24}\cdot 7^{29}$ |
$2$ |
$51.56103001004002$ |
$66.57684419786632$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$9154924332.71394$ |
| 21.3.209...623.1 |
$x^{21} - 9 x^{20} + 41 x^{19} - 132 x^{18} + 322 x^{17} - 791 x^{16} + 1785 x^{15} - 3220 x^{14} + 3122 x^{13} - 2044 x^{12} + 2989 x^{11} - 13769 x^{10} + 24304 x^{9} - 14945 x^{8} + 6321 x^{7} + 1372 x^{6} - 4802 x^{5} - 1029 x^{4} + 8232 x^{3} - 2401 x^{2} - 1029 x + 343$ |
$21$ |
[3,9] |
$-\,7^{17}\cdot 37^{14}$ |
$2$ |
$53.6530976369$ |
$56.197394763787415$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
$[3]$ |
$2$ |
$11$ |
$3649149592.701335$ |
| 21.3.209...263.1 |
$x^{21} - 3 x^{20} - 3 x^{19} - 25 x^{18} + 18 x^{17} - 90 x^{16} + 36 x^{15} - 321 x^{14} + 669 x^{13} + 478 x^{12} + 4044 x^{11} + 7950 x^{10} + 20819 x^{9} + 35685 x^{8} + 25191 x^{7} + 48645 x^{6} + 57111 x^{5} - 44715 x^{4} + 50713 x^{3} - 40536 x^{2} + 12537 x - 1651$ |
$21$ |
[3,9] |
$-\,3^{18}\cdot 7^{17}\cdot 13^{12}$ |
$3$ |
$53.65709036425807$ |
$71.75271582826133$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$6222317380.584554$ |
| 21.3.209...263.2 |
$x^{21} - x^{20} - 3 x^{19} - 4 x^{18} + 65 x^{17} - 132 x^{16} + 302 x^{15} - 1042 x^{14} + 2982 x^{13} - 6804 x^{12} + 14218 x^{11} - 23940 x^{10} + 42384 x^{9} - 87058 x^{8} + 87201 x^{7} - 148025 x^{6} + 67827 x^{5} - 162786 x^{4} + 101059 x^{3} - 115432 x^{2} - 120156 x + 235768$ |
$21$ |
[3,9] |
$-\,3^{18}\cdot 7^{17}\cdot 13^{12}$ |
$3$ |
$53.65709036425807$ |
$71.75271582826133$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$15377508375.024633$ |
| 21.3.480...888.1 |
$x^{21} - 6 x^{20} + 15 x^{19} - 3 x^{18} - 133 x^{17} + 654 x^{16} - 2750 x^{15} + 9443 x^{14} - 34592 x^{13} + 81835 x^{12} - 184277 x^{11} + 213539 x^{10} - 240634 x^{9} + 96634 x^{8} - 188877 x^{7} + 1267726 x^{6} - 1028354 x^{5} + 3056781 x^{4} + 1234612 x^{3} + 1069285 x^{2} + 84875 x + 20279$ |
$21$ |
[3,9] |
$-\,2^{18}\cdot 7^{17}\cdot 31^{12}$ |
$3$ |
$62.281545012645374$ |
$90.47221152976952$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
$[7]$ |
$2$ |
$11$ |
$4850808976.045462$ |
| 21.3.480...888.2 |
$x^{21} - 3 x^{20} - 4 x^{19} - 32 x^{18} - 51 x^{17} + 453 x^{16} + 266 x^{15} + 6208 x^{14} - 5284 x^{13} - 29446 x^{12} + 16574 x^{11} - 325756 x^{10} + 399944 x^{9} + 467422 x^{8} - 338510 x^{7} + 1673596 x^{6} - 4593193 x^{5} + 4011293 x^{4} - 997366 x^{3} - 133392 x^{2} - 136689 x + 110537$ |
$21$ |
[3,9] |
$-\,2^{18}\cdot 7^{17}\cdot 31^{12}$ |
$3$ |
$62.281545012645374$ |
$90.47221152976952$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$29840675042.108807$ |
| 21.3.487...768.1 |
$x^{21} - 2 x^{20} + 3 x^{19} + 28 x^{18} - 103 x^{17} + 158 x^{16} + 231 x^{15} - 2386 x^{14} + 4533 x^{13} + 2060 x^{12} - 26199 x^{11} + 48058 x^{10} + 15699 x^{9} - 114172 x^{8} + 99573 x^{7} - 91574 x^{6} - 382958 x^{5} + 518290 x^{4} + 2159304 x^{3} - 2056094 x^{2} - 3898716 x + 3849502$ |
$21$ |
[3,9] |
$-\,2^{18}\cdot 7^{17}\cdot 19^{14}$ |
$3$ |
$62.3239680097$ |
$65.27944867574944$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
$[3]$ |
$2$ |
$11$ |
$179627315671.82587$ |
| 21.3.736...327.1 |
$x^{21} - 57 x^{14} + 495 x^{7} + 1$ |
$21$ |
[3,9] |
$-\,3^{28}\cdot 7^{29}$ |
$2$ |
$63.5626248712$ |
$66.57684419786632$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
$[21]$ |
$2$ |
$11$ |
$10457923589.107075$ |
| 21.3.161...487.1 |
$x^{21} - 7 x^{20} + 21 x^{19} - 79 x^{18} + 317 x^{17} - 391 x^{16} - 863 x^{15} + 2124 x^{14} + 77 x^{13} - 6707 x^{12} + 18071 x^{11} - 4787 x^{10} - 41404 x^{9} - 27310 x^{8} + 82952 x^{7} + 43515 x^{6} - 4955 x^{5} - 109909 x^{4} + 389677 x^{3} + 208412 x^{2} + 79572 x - 263768$ |
$21$ |
[3,9] |
$-\,7^{17}\cdot 97^{12}$ |
$2$ |
$65.98194579199809$ |
$106.84712877782859$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$138282103874.43735$ |
| 21.3.180...383.1 |
$x^{21} - 7 x^{20} + 7 x^{19} + 14 x^{18} + 266 x^{17} - 1561 x^{16} + 3899 x^{15} - 11972 x^{14} + 42035 x^{13} - 95592 x^{12} + 168574 x^{11} - 218029 x^{10} - 329616 x^{9} + 2870644 x^{8} - 7760404 x^{7} + 13276683 x^{6} - 18743956 x^{5} + 19455380 x^{4} - 7473634 x^{3} - 2594830 x^{2} + 3937990 x - 1762571$ |
$21$ |
[3,9] |
$-\,7^{23}\cdot 37^{12}$ |
$2$ |
$66.32829573797818$ |
$97.98797113439907$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
$[7]$ |
$2$ |
$11$ |
$7061838431.420877$ |
| 21.3.180...383.2 |
$x^{21} + 7 x^{19} - 21 x^{18} - 42 x^{17} - 70 x^{16} - 987 x^{15} + 1974 x^{14} - 5341 x^{13} + 5383 x^{12} - 2429 x^{11} - 48944 x^{10} - 47012 x^{9} - 107401 x^{8} - 111419 x^{7} - 154161 x^{6} - 704466 x^{5} - 2042040 x^{4} - 4234552 x^{3} - 4424896 x^{2} - 2060352 x - 282688$ |
$21$ |
[3,9] |
$-\,7^{23}\cdot 37^{12}$ |
$2$ |
$66.32829573797818$ |
$97.98797113439907$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$117237021148.86719$ |
| 21.3.199...903.1 |
$x^{21} - 3 x^{20} - 18 x^{19} + 75 x^{18} + 126 x^{17} - 777 x^{16} - 279 x^{15} + 4305 x^{14} - 468 x^{13} - 12159 x^{12} + 1107 x^{11} + 11214 x^{10} + 6903 x^{9} - 8001 x^{8} - 32571 x^{7} + 5967 x^{6} + 25569 x^{5} + 324 x^{4} - 7587 x^{3} - 1134 x^{2} + 756 x + 189$ |
$21$ |
[3,9] |
$-\,3^{18}\cdot 7^{17}\cdot 19^{12}$ |
$3$ |
$66.65065222372871$ |
$92.40848341879988$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$93041179267.45445$ |
| 21.3.250...375.1 |
$x^{21} - 2 x^{20} - 23 x^{19} + 36 x^{18} + 232 x^{17} - 215 x^{16} - 1522 x^{15} + 393 x^{14} + 7734 x^{13} + 463 x^{12} - 27458 x^{11} - 5102 x^{10} + 50786 x^{9} + 73668 x^{8} - 119559 x^{7} - 181211 x^{6} + 197536 x^{5} + 208597 x^{4} - 160704 x^{3} - 129353 x^{2} + 50491 x + 35771$ |
$21$ |
[3,9] |
$-\,3^{24}\cdot 5^{18}\cdot 7^{17}$ |
$3$ |
$67.37915579242008$ |
$87.00158931080732$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
$[14]$ |
$2$ |
$11$ |
$4655449641.940092$ |
| 21.3.354...447.1 |
$x^{21} - x^{20} - 10 x^{19} + 26 x^{18} - 175 x^{17} + 893 x^{16} - 2535 x^{15} + 4105 x^{14} - 5396 x^{13} + 15522 x^{12} - 38866 x^{11} + 99374 x^{10} - 196980 x^{9} + 167386 x^{8} - 522437 x^{7} + 1728873 x^{6} - 1333540 x^{5} - 718864 x^{4} - 722371 x^{3} + 4119359 x^{2} - 3755923 x + 1239967$ |
$21$ |
[3,9] |
$-\,3^{18}\cdot 7^{17}\cdot 13^{14}$ |
$3$ |
$68.5041625903$ |
$71.75271582826133$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
$[3]$ |
$2$ |
$11$ |
$232645565732.53918$ |
| 21.3.354...447.2 |
$x^{21} - 4 x^{20} - 13 x^{19} + 92 x^{18} - 100 x^{17} - 685 x^{16} + 3114 x^{15} - 6722 x^{14} + 11287 x^{13} - 27129 x^{12} + 85460 x^{11} - 229903 x^{10} + 486885 x^{9} - 823628 x^{8} + 1106479 x^{7} - 1124295 x^{6} + 783536 x^{5} - 296659 x^{4} - 6943 x^{3} + 57281 x^{2} - 20482 x + 2527$ |
$21$ |
[3,9] |
$-\,3^{18}\cdot 7^{17}\cdot 13^{14}$ |
$3$ |
$68.5041625903$ |
$71.75271582826133$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
$[3]$ |
$2$ |
$11$ |
$94137132744.11961$ |
| 21.3.942...232.1 |
$x^{21} - 318 x^{14} + 1592 x^{7} + 128$ |
$21$ |
[3,9] |
$-\,2^{18}\cdot 7^{15}\cdot 31^{14}$ |
$3$ |
$71.7642742074$ |
$90.47221152976952$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$692600860397.3367$ |
| 21.3.942...232.2 |
$x^{21} - 286 x^{14} - 800 x^{7} + 16384$ |
$21$ |
[3,9] |
$-\,2^{18}\cdot 7^{15}\cdot 31^{14}$ |
$3$ |
$71.7642742074$ |
$90.47221152976952$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
$[7]$ |
$2$ |
$11$ |
$112587080074.13715$ |
| 21.3.243...008.1 |
$x^{21} - 4 x^{20} - 19 x^{19} + 123 x^{18} + 17 x^{17} - 1246 x^{16} + 2306 x^{15} + 1191 x^{14} - 3470 x^{13} - 11887 x^{12} + 23315 x^{11} - 13753 x^{10} + 44912 x^{9} - 595488 x^{8} + 1927049 x^{7} - 3810732 x^{6} + 3665138 x^{5} - 5788109 x^{4} + 7328634 x^{3} - 7746235 x^{2} + 17273401 x + 592927$ |
$21$ |
[3,9] |
$-\,2^{18}\cdot 7^{17}\cdot 43^{12}$ |
$3$ |
$75.08673864750382$ |
$112.52604314104492$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$263121459751.2207$ |
| 21.3.503...823.1 |
$x^{21} - 33 x^{14} + 215 x^{7} + 1$ |
$21$ |
[3,9] |
$-\,7^{21}\cdot 37^{14}$ |
$2$ |
$77.7259172801$ |
$97.98797113439907$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
$[7]$ |
$2$ |
$11$ |
$99644291065.08342$ |
| 21.3.503...823.2 |
$x^{21} - 44 x^{14} - 181 x^{7} + 1$ |
$21$ |
[3,9] |
$-\,7^{21}\cdot 37^{14}$ |
$2$ |
$77.7259172801$ |
$97.98797113439907$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
$[7]$ |
$2$ |
$11$ |
$42014912529.64383$ |
| 21.3.203...375.1 |
$x^{21} - 6 x^{19} - 96 x^{18} - 6 x^{17} + 648 x^{16} + 2889 x^{15} - 5685 x^{14} - 28155 x^{13} - 9420 x^{12} + 241392 x^{11} + 451815 x^{10} - 1479827 x^{9} - 510537 x^{8} + 7030128 x^{7} - 10608182 x^{6} - 37483542 x^{5} + 47557968 x^{4} + 35144488 x^{3} - 121483152 x^{2} + 50031891 x - 18017937$ |
$21$ |
[3,9] |
$-\,3^{28}\cdot 5^{18}\cdot 7^{17}$ |
$3$ |
$83.0626541583$ |
$87.00158931080732$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
$[42]$ |
$2$ |
$11$ |
$37226343333.12808$ |
| 21.3.206...375.1 |
$x^{21} - 3 x^{20} + 41 x^{19} - 66 x^{18} + 434 x^{17} - 369 x^{16} + 3581 x^{15} - 4969 x^{14} + 25939 x^{13} - 41806 x^{12} + 105215 x^{11} - 192206 x^{10} + 161695 x^{9} - 647850 x^{8} + 295130 x^{7} - 2434763 x^{6} - 3408606 x^{5} + 12439712 x^{4} - 30135167 x^{3} + 27162663 x^{2} - 4566990 x + 226603$ |
$21$ |
[3,9] |
$-\,5^{18}\cdot 7^{17}\cdot 13^{12}$ |
$3$ |
$83.13486383667336$ |
$111.1717430035587$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$1528791130961.4546$ |
| 21.3.206...375.2 |
$x^{21} - 2 x^{20} - 2 x^{19} + 132 x^{18} - 423 x^{17} + 38 x^{16} + 6831 x^{15} - 32813 x^{14} + 46813 x^{13} + 97748 x^{12} - 866543 x^{11} + 1738034 x^{10} - 1253732 x^{9} - 6625098 x^{8} + 21122877 x^{7} - 39233494 x^{6} + 22614475 x^{5} + 72645111 x^{4} - 220678411 x^{3} + 306362299 x^{2} - 198898037 x + 42111803$ |
$21$ |
[3,9] |
$-\,5^{18}\cdot 7^{17}\cdot 13^{12}$ |
$3$ |
$83.13486383667336$ |
$111.1717430035587$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$642706632476.2233$ |
| 21.3.309...167.1 |
$x^{21} - 89 x^{14} + 959 x^{7} + 1$ |
$21$ |
[3,9] |
$-\,7^{15}\cdot 97^{14}$ |
$2$ |
$84.753169158$ |
$106.84712877782859$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$1359934771895.082$ |
| 21.3.713...375.1 |
$x^{21} - 435 x^{14} + 38375 x^{7} - 78125$ |
$21$ |
[3,9] |
$-\,5^{18}\cdot 7^{15}\cdot 13^{14}$ |
$3$ |
$88.1835351885$ |
$111.1717430035587$ |
|
|
|
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$3971562537930.904$ |
| 21.3.713...375.2 |
$x^{21} - 995 x^{14} - 18500 x^{7} + 78125$ |
$21$ |
[3,9] |
$-\,5^{18}\cdot 7^{15}\cdot 13^{14}$ |
$3$ |
$88.1835351885$ |
$111.1717430035587$ |
|
|
? |
$C_3\times F_7$ (as 21T9) |
trivial |
$2$ |
$11$ |
$1669652271476.0906$ |
