| 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 |
| 21.1.238...101.1 |
$x^{21} - 6 x^{18} - 6 x^{16} + 8 x^{15} - 8 x^{14} + 17 x^{13} - 3 x^{12} + 23 x^{11} - 28 x^{10} - 11 x^{9} - 45 x^{8} - 14 x^{7} - 44 x^{6} - 17 x^{5} - 21 x^{4} - 4 x^{3} - 8 x^{2} - 1$ |
$21$ |
[1,10] |
$23^{7}\cdot 41227^{3}$ |
$2$ |
$12.9783940136$ |
$973.7663990916918$ |
|
|
? |
$D_7\wr S_3$ (as 21T62) |
trivial |
$2$ |
$10$ |
$952.218112417$ |
| 21.1.214...721.1 |
$x^{21} - x^{20} - x^{19} + 2 x^{18} + 2 x^{17} + x^{16} - 5 x^{15} - x^{14} + 13 x^{13} + 9 x^{12} - 7 x^{11} - 16 x^{10} - x^{9} + 21 x^{8} + 17 x^{7} - 3 x^{6} - 11 x^{5} - 3 x^{4} + 4 x^{3} + 3 x^{2} - 1$ |
$21$ |
[1,10] |
$23^{7}\cdot 184607^{3}$ |
$2$ |
$16.0779415343$ |
$2060.572978566884$ |
|
|
? |
$S_3\times S_7$ (as 21T74) |
trivial |
$2$ |
$10$ |
$10455.3643856$ |
| 21.1.237...104.1 |
$x^{21} + x^{19} - 5 x^{18} + 8 x^{17} - 5 x^{16} + 11 x^{15} - 40 x^{14} + 33 x^{13} + 2 x^{12} + 62 x^{11} - 87 x^{10} - 12 x^{9} - 43 x^{8} + 76 x^{7} + 27 x^{6} - 15 x^{5} - 7 x^{4} - 10 x^{3} + 2 x^{2} + x + 1$ |
$21$ |
[1,10] |
$2^{14}\cdot 11^{8}\cdot 41^{3}\cdot 461^{3}$ |
$4$ |
$16.1560089147$ |
$723.8113641062746$ |
|
|
? |
$S_3\times S_7$ (as 21T74) |
trivial |
$2$ |
$10$ |
$11721.4726991$ |
| 21.1.759...229.1 |
$x^{21} - x^{18} - 3 x^{15} + 2 x^{12} + 4 x^{9} - x^{6} - 2 x^{3} - 1$ |
$21$ |
[1,10] |
$3^{21}\cdot 193607^{3}$ |
$2$ |
$17.0763753068$ |
|
|
|
✓ |
$C_3^6.(C_2\times S_7)$ (as 21T138) |
trivial |
$2$ |
$10$ |
$18363.369838$ |
| 21.1.156...857.1 |
$x^{21} - x^{20} - x^{19} + 2 x^{18} + 5 x^{17} + 2 x^{16} - 10 x^{15} - 2 x^{14} + 23 x^{13} + 19 x^{12} - 11 x^{11} - 28 x^{10} + 8 x^{9} + 47 x^{8} + 23 x^{7} - 13 x^{6} - 24 x^{5} - 7 x^{4} + 11 x^{3} + 6 x^{2} - 1$ |
$21$ |
[1,10] |
$23^{7}\cdot 71^{9}$ |
$2$ |
$17.672814291$ |
$40.4103947023535$ |
|
|
? |
$S_3\times D_7$ (as 21T8) |
trivial |
$2$ |
$10$ |
$32527.0761402$ |
| 21.1.126...441.1 |
$x^{21} + 3 x^{19} - x^{18} + x^{17} + 8 x^{16} - 7 x^{15} + 24 x^{14} - 15 x^{13} + 7 x^{12} + 25 x^{11} - 42 x^{10} + 46 x^{9} - 39 x^{8} - 12 x^{7} + 15 x^{6} - 14 x^{5} + x^{4} + 10 x^{3} - x^{2} + 2 x + 1$ |
$21$ |
[1,10] |
$31^{7}\cdot 71^{9}$ |
$2$ |
$19.5216714707$ |
$46.9148164229596$ |
|
|
? |
$S_3\times D_7$ (as 21T8) |
trivial |
$2$ |
$10$ |
$80948.9311635$ |
| 21.1.190...129.1 |
$x^{21} - x^{14} + 1$ |
$21$ |
[1,10] |
$7^{21}\cdot 23^{7}$ |
$2$ |
$19.907068859$ |
|
|
|
✓ |
$C_7^2:(C_6\times S_3)$ (as 21T29) |
trivial |
$2$ |
$10$ |
$141151.982984$ |
| 21.1.573...421.1 |
$x^{21} - x - 1$ |
$21$ |
[1,10] |
$1137694897331\cdot 5043293621028391$ |
$2$ |
$20.9818976857$ |
$75747801409585.36$ |
|
|
✓ |
$S_{21}$ (as 21T164) |
trivial |
$2$ |
$10$ |
$169158.997908$ |
| 21.1.594...421.1 |
$x^{21} + x - 1$ |
$21$ |
[1,10] |
$11\cdot 17\cdot 1033\cdot 1583\cdot 159503\cdot 121937899012999$ |
$6$ |
$21.0177955058$ |
$77119677245084.36$ |
|
|
✓ |
$S_{21}$ (as 21T164) |
trivial |
$2$ |
$10$ |
$312816.601488$ |
| 21.1.739...928.1 |
$x^{21} - 2 x^{20} - x^{19} + 7 x^{18} - 3 x^{17} - 13 x^{16} + 14 x^{15} + 13 x^{14} - 28 x^{13} - 2 x^{12} + 34 x^{11} - 15 x^{10} - 25 x^{9} + 24 x^{8} + 7 x^{7} - 21 x^{6} + 6 x^{5} + 8 x^{4} - 7 x^{3} + 2 x - 1$ |
$21$ |
[1,10] |
$2^{3}\cdot 101\cdot 1951\cdot 7481\cdot 35629381\cdot 17609300881$ |
$6$ |
$21.237517341$ |
|
|
|
✓ |
$S_{21}$ (as 21T164) |
trivial |
$2$ |
$10$ |
$564425.480379$ |
| 21.1.990...104.1 |
$x^{21} - 3 x^{20} - 2 x^{19} + 25 x^{18} - 40 x^{17} - 24 x^{16} + 156 x^{15} - 215 x^{14} + 131 x^{13} - 57 x^{12} + 294 x^{11} - 907 x^{10} + 1374 x^{9} - 1171 x^{8} + 439 x^{7} + 387 x^{6} - 847 x^{5} + 669 x^{4} - 179 x^{3} - 142 x^{2} + 156 x - 38$ |
$21$ |
[1,10] |
$2^{14}\cdot 11^{10}\cdot 13^{12}$ |
$3$ |
$21.5341136548$ |
$29.107969279297173$ |
|
|
? |
$C_{21}:C_6$ (as 21T10) |
trivial |
$2$ |
$10$ |
$637026.16318$ |
| 21.1.153...777.1 |
$x^{21} + x^{7} - 1$ |
$21$ |
[1,10] |
$7^{21}\cdot 31^{7}$ |
$2$ |
$21.9896645667$ |
|
|
|
✓ |
$C_7^2:(C_6\times S_3)$ (as 21T29) |
trivial |
$2$ |
$10$ |
$472261.200133$ |
| 21.1.341...000.1 |
$x^{21} - 10 x^{18} + 36 x^{15} - 76 x^{12} - 224 x^{9} - 144 x^{6} - 32 x^{3} - 16$ |
$21$ |
[1,10] |
$2^{20}\cdot 3^{34}\cdot 5^{9}$ |
$3$ |
$22.8420900179$ |
$28.700473627493697$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
trivial |
$2$ |
$10$ |
$2085380.41806$ |
| 21.1.753...068.1 |
$x^{21} - 2 x^{20} - x^{19} + 7 x^{18} - 3 x^{17} - 13 x^{16} + 14 x^{15} + 13 x^{14} - 28 x^{13} - 2 x^{12} + 34 x^{11} - 15 x^{10} - 25 x^{9} + 25 x^{8} + 7 x^{7} - 22 x^{6} + 6 x^{5} + 8 x^{4} - 7 x^{3} + 2 x - 1$ |
$21$ |
[1,10] |
$2^{2}\cdot 11\cdot 29\cdot 1447\cdot 2579\cdot 4423\cdot 3578836676945557$ |
$7$ |
$23.7195344256$ |
$217907085144134.4$ |
|
|
✓ |
$S_{21}$ (as 21T164) |
trivial |
$2$ |
$10$ |
$2395762.98687$ |
| 21.1.265...721.1 |
$x^{21} - 8 x^{20} + 36 x^{19} - 114 x^{18} + 285 x^{17} - 562 x^{16} + 781 x^{15} - 627 x^{14} + 169 x^{13} - 27 x^{12} + 434 x^{11} - 868 x^{10} + 760 x^{9} - 92 x^{8} - 397 x^{7} + 225 x^{6} + 212 x^{5} - 441 x^{4} + 355 x^{3} - 154 x^{2} + 34 x - 3$ |
$21$ |
[1,10] |
$3^{16}\cdot 151^{10}$ |
$2$ |
$25.1842502461$ |
|
|
|
? |
$C_3^6.D_7$ (as 21T51) |
trivial |
$2$ |
$10$ |
$2440129.53307$ |
| 21.1.265...721.2 |
$x^{21} - 4 x^{20} + 15 x^{19} - 38 x^{18} + 87 x^{17} - 166 x^{16} + 291 x^{15} - 534 x^{14} + 954 x^{13} - 1218 x^{12} + 1775 x^{11} - 1990 x^{10} + 2612 x^{9} - 2193 x^{8} + 2151 x^{7} - 1538 x^{6} + 990 x^{5} - 641 x^{4} + 574 x^{3} + 439 x^{2} + 407 x + 169$ |
$21$ |
[1,10] |
$3^{16}\cdot 151^{10}$ |
$2$ |
$25.1842502461$ |
|
|
|
? |
$C_3^7:D_7$ (as 21T75) |
trivial |
$2$ |
$10$ |
$2451809.3877$ |
| 21.1.265...721.3 |
$x^{21} - 6 x^{20} + 12 x^{19} - 4 x^{18} - 7 x^{17} - 47 x^{16} + 158 x^{15} - 112 x^{14} - 277 x^{13} + 800 x^{12} - 683 x^{11} - 929 x^{10} + 3169 x^{9} - 2711 x^{8} - 1350 x^{7} + 4467 x^{6} - 2049 x^{5} - 2691 x^{4} + 4230 x^{3} - 2223 x^{2} + 378 x + 81$ |
$21$ |
[1,10] |
$3^{16}\cdot 151^{10}$ |
$2$ |
$25.1842502461$ |
|
|
|
? |
$C_3^7:D_7$ (as 21T75) |
trivial |
$2$ |
$10$ |
$2275997.37039$ |
| 21.1.107...936.1 |
$x^{21} - 3 x^{19} - 2 x^{18} - 9 x^{17} - 12 x^{16} + 23 x^{15} + 54 x^{14} + 36 x^{13} + 8 x^{12} - 243 x^{11} - 810 x^{10} - 351 x^{9} + 2196 x^{8} + 6807 x^{7} + 14494 x^{6} + 22572 x^{5} + 23256 x^{4} + 15184 x^{3} + 6048 x^{2} + 1344 x + 128$ |
$21$ |
[1,10] |
$2^{14}\cdot 3^{21}\cdot 184607^{3}$ |
$3$ |
$26.9233492487$ |
|
|
|
? |
$C_3^7.(C_2^7.S_7)$ (as 21T152) |
trivial |
$2$ |
$10$ |
$2384426.58014$ |
| 21.1.107...936.2 |
$x^{21} + 3 x^{19} - 2 x^{18} - 27 x^{17} + 12 x^{16} - 27 x^{15} - 36 x^{14} + 381 x^{13} - 192 x^{12} - 27 x^{11} + 198 x^{10} - 1026 x^{9} - 954 x^{8} + 2655 x^{7} + 98 x^{6} - 1116 x^{5} + 480 x^{4} + 368 x^{3} - 288 x^{2} - 192 x + 128$ |
$21$ |
[1,10] |
$2^{14}\cdot 3^{21}\cdot 184607^{3}$ |
$3$ |
$26.9233492487$ |
|
|
|
? |
$C_3^7.(C_2^7.S_7)$ (as 21T152) |
trivial |
$2$ |
$10$ |
$2437459.41715$ |
| 21.1.708...368.1 |
$x^{21} - 18 x^{18} + 90 x^{15} - 108 x^{12} + 432 x^{9} + 1296 x^{6} - 216 x^{3} + 864$ |
$21$ |
[1,10] |
$2^{26}\cdot 3^{27}\cdot 7^{12}$ |
$3$ |
$29.4481884112$ |
$38.86634165128518$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
trivial |
$2$ |
$10$ |
$24283547.6112$ |
| 21.1.785...512.1 |
$x^{21} - 3 x^{19} - 2 x^{18} - 9 x^{17} - 12 x^{16} + 23 x^{15} + 54 x^{14} - 45 x^{13} - 208 x^{12} - 459 x^{11} - 906 x^{10} + 362 x^{9} + 5112 x^{8} + 11667 x^{7} + 18814 x^{6} + 24732 x^{5} + 23832 x^{4} + 15248 x^{3} + 6048 x^{2} + 1344 x + 128$ |
$21$ |
[1,10] |
$2^{14}\cdot 3^{21}\cdot 71^{9}$ |
$3$ |
$29.5940466226$ |
|
|
|
? |
$C_3^7:C_2\wr D_7$ (as 21T131) |
trivial |
$2$ |
$10$ |
$6510880.80508$ |
| 21.1.785...512.2 |
$x^{21} + 6 x^{19} - 2 x^{18} + 36 x^{17} + 18 x^{16} + 135 x^{15} + 18 x^{14} + 300 x^{13} + 448 x^{12} + 1620 x^{11} + 2160 x^{10} + 2722 x^{9} + 2538 x^{8} + 3087 x^{7} + 3382 x^{6} + 1944 x^{5} - 168 x^{4} - 608 x^{3} - 576 x^{2} - 192 x - 128$ |
$21$ |
[1,10] |
$2^{14}\cdot 3^{21}\cdot 71^{9}$ |
$3$ |
$29.5940466226$ |
|
|
|
? |
$C_3^7:C_2\wr D_7$ (as 21T131) |
trivial |
$2$ |
$10$ |
$5932959.19701$ |
| 21.1.214...401.1 |
$x^{21} - 9 x^{20} + 37 x^{19} - 84 x^{18} + 105 x^{17} - 62 x^{16} + 92 x^{15} - 450 x^{14} + 800 x^{13} + 216 x^{12} - 1254 x^{11} - 2043 x^{10} + 6711 x^{9} - 3102 x^{8} - 7 x^{7} - 2603 x^{6} + 6489 x^{5} - 6487 x^{4} + 3977 x^{3} - 1257 x^{2} + 160 x + 1$ |
$21$ |
[1,10] |
$3^{20}\cdot 151^{10}$ |
$2$ |
$31.046258206$ |
|
|
|
? |
$C_3^6.D_7$ (as 21T51) |
$[3]$ |
$2$ |
$10$ |
$6183408.34933$ |
| 21.1.399...221.1 |
$x^{21} + 21 x^{19} + 189 x^{17} + 952 x^{15} + 2940 x^{13} + 5733 x^{11} + 7007 x^{9} + 5144 x^{7} + 2051 x^{5} + 329 x^{3} - 7 x - 1$ |
$21$ |
[1,10] |
$7^{19}\cdot 23^{7}\cdot 101^{3}$ |
$3$ |
$31.9781559319$ |
$460.4933384155175$ |
|
|
? |
$C_7^3:(C_6\times S_4)$ (as 21T87) |
trivial |
$2$ |
$10$ |
$28539748.2764$ |
| 21.1.219...421.1 |
$x^{21} + 2 x - 1$ |
$21$ |
[1,10] |
$59\cdot 997\cdot 3738472504670254593994209427$ |
$3$ |
$34.6822074379$ |
$1.4829300999784798e+16$ |
|
|
✓ |
$S_{21}$ (as 21T164) |
trivial |
$2$ |
$10$ |
$118496946.484$ |
| 21.1.283...133.1 |
$x^{21} + 21 x^{19} + 189 x^{17} + 952 x^{15} - 8 x^{14} + 2940 x^{13} - 112 x^{12} + 5733 x^{11} - 616 x^{10} + 7007 x^{9} - 1680 x^{8} + 5166 x^{7} - 2352 x^{6} + 2205 x^{5} - 1568 x^{4} + 637 x^{3} - 392 x^{2} + 147 x - 19$ |
$21$ |
[1,10] |
$7^{21}\cdot 23^{7}\cdot 53^{3}$ |
$3$ |
$35.102046962$ |
|
|
|
? |
$C_7^3:(C_6\times S_4)$ (as 21T87) |
trivial |
$2$ |
$10$ |
$65432489.7395$ |
| 21.1.131...624.1 |
$x^{21} - 7 x^{18} + 21 x^{15} - 35 x^{12} + 35 x^{9} - 21 x^{6} + 7 x^{3} - 2 x - 1$ |
$21$ |
[1,10] |
$2^{18}\cdot 19\cdot 188021\cdot 1400662753064812335179$ |
$4$ |
$37.7606697472$ |
$128136388722710.88$ |
|
|
✓ |
$S_{21}$ (as 21T164) |
trivial |
$2$ |
$10$ |
$506625548.256$ |
| 21.1.175...624.1 |
$x^{21} - 7 x^{18} + 21 x^{15} - 35 x^{12} + 35 x^{9} - 21 x^{6} + 7 x^{3} + 2 x - 1$ |
$21$ |
[1,10] |
$2^{18}\cdot 29\cdot 191\cdot 6269\cdot 192415895349874457731$ |
$5$ |
$38.284197479$ |
$148067928664408.9$ |
|
|
✓ |
$S_{21}$ (as 21T164) |
trivial |
$2$ |
$10$ |
$454633918.97$ |
| 21.1.232...048.1 |
$x^{21} - 7 x^{20} + 11 x^{19} - x^{18} + 29 x^{17} - 31 x^{16} - 207 x^{15} + 283 x^{14} + 178 x^{13} - 774 x^{12} + 1676 x^{11} - 1948 x^{10} - 1140 x^{9} + 7012 x^{8} - 10652 x^{7} + 6060 x^{6} + 7976 x^{5} - 23032 x^{4} + 27464 x^{3} - 19144 x^{2} + 7592 x - 1352$ |
$21$ |
[1,10] |
$2^{33}\cdot 3^{19}\cdot 7^{17}$ |
$3$ |
$38.802102274$ |
$53.43765361913281$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
$[3]$ |
$2$ |
$10$ |
$353864063.8162742$ |
| 21.1.242...448.1 |
$x^{21} - 6 x^{20} + 16 x^{19} - 26 x^{18} + 29 x^{17} - 36 x^{16} + 50 x^{15} - 50 x^{14} + 35 x^{13} - 14 x^{12} + 100 x^{11} - 22 x^{10} - 25 x^{9} - 112 x^{8} - 78 x^{7} - 286 x^{6} - 632 x^{5} - 1000 x^{4} - 1000 x^{3} - 688 x^{2} - 288 x - 64$ |
$21$ |
[1,10] |
$2^{14}\cdot 11^{10}\cdot 283^{3}\cdot 6311^{3}$ |
$4$ |
$38.8789310777$ |
$12813.668536692152$ |
|
|
|
$D_7\wr S_3$ (as 21T62) |
trivial |
$2$ |
$10$ |
$19772231044.3$ |
| 21.1.280...625.1 |
$x^{21} - 7 x^{20} + 35 x^{19} - 112 x^{18} + 266 x^{17} - 490 x^{16} + 693 x^{15} - 1355 x^{14} + 3360 x^{13} - 7224 x^{12} + 12166 x^{11} - 16709 x^{10} + 21700 x^{9} - 32417 x^{8} + 39987 x^{7} - 39067 x^{6} + 26600 x^{5} - 12320 x^{4} + 4389 x^{3} - 1575 x^{2} + 945 x - 405$ |
$21$ |
[1,10] |
$5^{14}\cdot 7^{28}$ |
$2$ |
$39.1541129728$ |
$41.01085007711686$ |
|
|
|
$D_{21}$ (as 21T5) |
trivial |
$2$ |
$10$ |
$859506502.583$ |
| 21.1.568...496.1 |
$x^{21} - 4 x - 4$ |
$21$ |
[1,10] |
$2^{20}\cdot 2609\cdot 1020583\cdot 2036712542136910243$ |
$4$ |
$40.4924362967$ |
$142502114097662.6$ |
|
|
? |
$S_{21}$ (as 21T164) |
trivial |
$2$ |
$10$ |
$508464423.149$ |
| 21.1.590...496.1 |
$x^{21} - 2 x - 2$ |
$21$ |
[1,10] |
$2^{20}\cdot 3049\cdot 1847448940106914569164029$ |
$3$ |
$40.565661376$ |
$145231281067929.97$ |
|
|
✓ |
$S_{21}$ (as 21T164) |
trivial |
$2$ |
$10$ |
$746161852.089$ |
| 21.1.612...496.1 |
$x^{21} - x - 2$ |
$21$ |
[1,10] |
$2^{20}\cdot 17\cdot 15118577\cdot 59724677\cdot 380619938497$ |
$5$ |
$40.6363346649$ |
|
|
|
✓ |
$S_{21}$ (as 21T164) |
trivial |
$2$ |
$10$ |
$661174959.739$ |
| 21.1.612...496.1 |
$x^{21} - x - 4$ |
$21$ |
[1,10] |
$2^{22}\cdot 1831\cdot 35759\cdot 321383\cdot 69414242408507$ |
$5$ |
$40.636334698$ |
|
|
|
? |
$S_{21}$ (as 21T164) |
trivial |
$2$ |
$10$ |
$427927700.124$ |
| 21.1.612...496.1 |
$x^{21} - 2$ |
$21$ |
[1,10] |
$2^{20}\cdot 3^{21}\cdot 7^{21}$ |
$3$ |
$40.636334698$ |
$61.523586888195744$ |
|
|
✓ |
$S_3\times F_7$ (as 21T15) |
trivial |
$2$ |
$10$ |
$560231224.652$ |
| 21.1.634...496.1 |
$x^{21} + 2 x - 2$ |
$21$ |
[1,10] |
$2^{20}\cdot 6052302218385982521381124421$ |
$2$ |
$40.7046321411$ |
$150541256661719.56$ |
|
|
✓ |
$S_{21}$ (as 21T164) |
trivial |
$2$ |
$10$ |
$586206007.678$ |
| 21.1.656...496.1 |
$x^{21} + 4 x - 4$ |
$21$ |
[1,10] |
$2^{20}\cdot 71\cdot 954210151\cdot 92429773814019701$ |
$4$ |
$40.7707118758$ |
$153127209977908.72$ |
|
|
? |
$S_{21}$ (as 21T164) |
trivial |
$2$ |
$10$ |
$595110761.334$ |
| 21.1.116...632.1 |
$x^{21} + 12 x^{19} - 8 x^{18} + 108 x^{17} - 144 x^{16} + 642 x^{15} - 1188 x^{14} + 3222 x^{13} - 6656 x^{12} + 13527 x^{11} - 26370 x^{10} + 44193 x^{9} - 70452 x^{8} + 102702 x^{7} - 135604 x^{6} + 159192 x^{5} - 145872 x^{4} + 91808 x^{3} - 36288 x^{2} + 8064 x - 768$ |
$21$ |
[1,10] |
$2^{14}\cdot 3^{17}\cdot 11^{9}\cdot 13^{12}$ |
$4$ |
$46.7495988633$ |
$765.3328958961537$ |
|
|
? |
$C_3^7.C_2\wr F_7$ (as 21T142) |
trivial |
$2$ |
$10$ |
$5943547190.6$ |
| 21.1.140...961.1 |
$x^{21} - 9 x^{19} - x^{18} + 90 x^{17} + 33 x^{16} - 517 x^{15} + 792 x^{14} + 2043 x^{13} - 5479 x^{12} + 1746 x^{11} + 30675 x^{10} - 29471 x^{9} - 28809 x^{8} + 255240 x^{7} - 240039 x^{6} + 419256 x^{5} + 41958 x^{4} + 4131 x^{3} + 176418 x^{2} - 546750 x + 270459$ |
$21$ |
[1,10] |
$3^{28}\cdot 151^{10}$ |
$2$ |
$47.1812826333$ |
$53.16797829076763$ |
|
|
? |
$D_{21}$ (as 21T5) |
trivial |
$2$ |
$10$ |
$2150750435.99$ |
| 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) |
$[3]$ |
$2$ |
$10$ |
$2812507698.960895$ |
| 21.1.301...448.1 |
$x^{21} - 68 x^{14} + 1294 x^{7} + 32$ |
$21$ |
[1,10] |
$2^{33}\cdot 7^{21}\cdot 13^{7}$ |
$3$ |
$48.9169788492$ |
$121.12519088388865$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
trivial |
$2$ |
$10$ |
$5314620401.138479$ |
| 21.1.309...017.1 |
$x^{21} - 28 x^{17} - 14 x^{16} + 189 x^{15} - 418 x^{14} - 2009 x^{13} + 1960 x^{12} + 7406 x^{11} - 5600 x^{10} - 13370 x^{9} + 23842 x^{8} + 70415 x^{7} + 78400 x^{6} + 40278 x^{5} - 14868 x^{4} - 24325 x^{3} - 490 x^{2} + 3136 x - 1128$ |
$21$ |
[1,10] |
$7^{21}\cdot 31^{7}\cdot 67^{4}$ |
$3$ |
$48.9826612189$ |
|
|
|
|
$C_7^3:(C_3^3:D_6)$ (as 21T102) |
trivial |
$2$ |
$10$ |
$7220623158.01$ |
| 21.1.886...304.1 |
$x^{21} - 42 x^{18} + 672 x^{15} - 392 x^{12} - 4480 x^{9} - 7840 x^{6} - 4928 x^{3} - 1024$ |
$21$ |
[1,10] |
$2^{14}\cdot 3^{24}\cdot 7^{24}$ |
$3$ |
$51.4984821755$ |
$63.626786079896775$ |
|
|
? |
$C_{21}:C_6$ (as 21T10) |
trivial |
$2$ |
$10$ |
$7466736411.06$ |
| 21.1.109...421.1 |
$x^{21} + 3 x - 1$ |
$21$ |
[1,10] |
$3^{21}\cdot 127\cdot 4165522027\cdot 198210546660683$ |
$4$ |
$52.0232453516$ |
|
|
|
✓ |
$S_{21}$ (as 21T164) |
trivial |
$2$ |
$10$ |
$5956635581.61$ |
| 21.1.110...496.1 |
$x^{21} + 3 x - 2$ |
$21$ |
[1,10] |
$2^{20}\cdot 3^{21}\cdot 904762091\cdot 111143633077$ |
$4$ |
$52.0370455114$ |
|
|
|
✓ |
$S_{21}$ (as 21T164) |
trivial |
$2$ |
$10$ |
$22428733019.5$ |
| 21.1.156...976.1 |
$x^{21} - 4 x - 8$ |
$21$ |
[1,10] |
$2^{28}\cdot 677\cdot 680193605783\cdot 12687730522631$ |
$4$ |
$52.9166839231$ |
|
|
|
? |
$S_{21}$ (as 21T164) |
trivial |
$2$ |
$10$ |
$13566690831.2$ |
| 21.1.156...976.1 |
$x^{21} + 4 x - 8$ |
$21$ |
[1,10] |
$2^{28}\cdot 23\cdot 9257\cdot 126173\cdot 217490699493582407$ |
$5$ |
$52.9166842681$ |
|
|
|
? |
$S_{21}$ (as 21T164) |
trivial |
$2$ |
$10$ |
$15652649356.7$ |
| 21.1.521...576.1 |
$x^{21} - 21 x^{19} + 189 x^{17} - 952 x^{15} - 10 x^{14} + 2940 x^{13} + 140 x^{12} - 5733 x^{11} - 770 x^{10} + 7007 x^{9} + 2100 x^{8} - 5111 x^{7} - 2940 x^{6} + 1820 x^{5} + 1960 x^{4} + 133 x^{3} - 490 x^{2} - 238 x - 38$ |
$21$ |
[1,10] |
$2^{20}\cdot 7^{24}\cdot 11^{10}$ |
$3$ |
$56.0302866166$ |
|
|
|
✓ |
$C_7^3:(C_3\times S_4)$ (as 21T72) |
trivial |
$2$ |
$10$ |
$14651833116.7$ |
| 21.1.627...904.1 |
$x^{21} - x - 8$ |
$21$ |
[1,10] |
$2^{10}\cdot 17\cdot 193\cdot 2857\cdot 3301\cdot 197989932505647143962363$ |
$6$ |
$56.5278080906$ |
|
|
|
? |
$S_{21}$ (as 21T164) |
trivial |
$2$ |
$10$ |
$32862239469.0$ |
