| 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 |
| 21.1.341...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 |
$2$ |
$10$ |
$2085380.41806$ |
| 21.1.708...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 |
$2$ |
$10$ |
$24283547.6112$ |
| 21.3.374...088.1 |
$x^{21} - 6 x^{20} + x^{19} + 53 x^{18} - 27 x^{17} - 293 x^{16} - 9 x^{15} + 1527 x^{14} + 243 x^{13} - 5106 x^{12} - 1574 x^{11} + 12477 x^{10} + 3557 x^{9} - 22537 x^{8} + 2995 x^{7} + 24604 x^{6} - 19343 x^{5} - 8523 x^{4} + 22177 x^{3} - 14282 x^{2} + 4522 x - 290$ |
$21$ |
[3,9] |
$-\,2^{14}\cdot 7^{15}\cdot 37^{10}$ |
$3$ |
$35.5705718092$ |
$48.86927459341171$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
trivial |
$2$ |
$11$ |
$169090528.679$ |
| 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) |
$[3]$ |
$2$ |
$10$ |
$353864063.8162742$ |
| 21.1.612...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 |
$2$ |
$10$ |
$560231224.652$ |
| 21.3.555...256.1 |
$x^{21} - 144 x^{14} - 106 x^{7} + 2$ |
$21$ |
[3,9] |
$-\,2^{20}\cdot 7^{21}\cdot 37^{7}$ |
$3$ |
$45.1364274838$ |
$103.87261030928926$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
trivial |
$2$ |
$11$ |
$2090900042.29$ |
| 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 |
$2$ |
$10$ |
$5314620401.138479$ |
| 21.7.177...264.1 |
$x^{21} - 2 x^{20} + 4 x^{19} + 70 x^{18} - 226 x^{17} - 406 x^{16} + 1741 x^{15} - 48 x^{14} - 4521 x^{13} + 7056 x^{12} - 14691 x^{11} + 29502 x^{10} - 17641 x^{9} - 46606 x^{8} + 128156 x^{7} - 152086 x^{6} + 57937 x^{5} + 104248 x^{4} - 179097 x^{3} + 119110 x^{2} - 36110 x + 3596$ |
$21$ |
[7,7] |
$-\,2^{36}\cdot 3^{18}\cdot 13^{16}$ |
$3$ |
$59.3924500662$ |
$86.95752969217298$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
trivial |
$2$ |
$13$ |
$260777898205$ |
| 21.1.203...821.1 |
$x^{21} - 3$ |
$21$ |
[1,10] |
$3^{41}\cdot 7^{21}$ |
$2$ |
$59.788889866$ |
$77.37264242492355$ |
|
|
✓ |
$S_3\times F_7$ (as 21T15) |
trivial |
$2$ |
$10$ |
$61330478867.1$ |
| 21.7.419...016.1 |
$x^{21} - 6 x^{20} + 6 x^{19} + 14 x^{18} + 117 x^{17} - 756 x^{16} + 993 x^{15} - 72 x^{14} + 5994 x^{13} - 27152 x^{12} + 37740 x^{11} - 31386 x^{10} + 134624 x^{9} - 240930 x^{8} + 143181 x^{7} + 237822 x^{6} - 396504 x^{5} + 2869290 x^{4} - 6027167 x^{3} - 6344232 x^{2} + 4802307 x + 1646714$ |
$21$ |
[7,7] |
$-\,2^{30}\cdot 3^{27}\cdot 13^{15}$ |
$3$ |
$69.0491421275$ |
$101.07244310208699$ |
|
|
|
$S_3\times F_7$ (as 21T15) |
trivial |
$2$ |
$13$ |
$1564637139010$ |
| 21.1.340...888.1 |
$x^{21} - 336 x^{14} + 28320 x^{7} - 15552$ |
$21$ |
[1,10] |
$2^{18}\cdot 3^{19}\cdot 7^{15}\cdot 113^{7}$ |
$4$ |
$94.9965392491$ |
$270.3052395604528$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
trivial |
$2$ |
$10$ |
$6741687818950.376$ |
| 21.1.557...125.1 |
$x^{21} - 5$ |
$21$ |
[1,10] |
$3^{21}\cdot 5^{20}\cdot 7^{21}$ |
$3$ |
$97.2534492334$ |
$147.2421437256988$ |
|
|
✓ |
$S_3\times F_7$ (as 21T15) |
trivial |
$2$ |
$10$ |
$12419701227100$ |
| 21.1.213...896.1 |
$x^{21} - 6$ |
$21$ |
[1,10] |
$2^{20}\cdot 3^{41}\cdot 7^{21}$ |
$3$ |
$115.695301896$ |
$149.7209806689588$ |
|
|
✓ |
$S_3\times F_7$ (as 21T15) |
trivial |
$2$ |
$10$ |
$52805398053200$ |
| 21.1.466...421.1 |
$x^{21} - 7$ |
$21$ |
[1,10] |
$3^{21}\cdot 7^{41}$ |
$2$ |
$133.990673761$ |
$168.54511198349206$ |
|
|
✓ |
$S_3\times F_7$ (as 21T15) |
$[3]$ |
$2$ |
$10$ |
$118885572926000$ |
| 21.21.213...000.1 |
$x^{21} - 56 x^{19} + 1148 x^{17} - 11256 x^{15} - 1008 x^{14} + 59584 x^{13} + 12838 x^{12} - 178752 x^{11} - 58604 x^{10} + 304976 x^{9} + 120344 x^{8} - 290570 x^{7} - 117992 x^{6} + 148176 x^{5} + 54880 x^{4} - 35672 x^{3} - 10976 x^{2} + 2744 x + 686$ |
$21$ |
[21,0] |
$2^{20}\cdot 3^{9}\cdot 5^{9}\cdot 7^{21}\cdot 37^{7}$ |
$5$ |
$144.067590592$ |
$402.2968898549701$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
trivial |
$2$ |
$20$ |
$23839453211300000$ |
| 21.21.298...736.1 |
$x^{21} - 4 x^{20} - 53 x^{19} + 209 x^{18} + 1073 x^{17} - 4189 x^{16} - 10781 x^{15} + 42311 x^{14} + 57491 x^{13} - 234064 x^{12} - 159236 x^{11} + 723175 x^{10} + 196667 x^{9} - 1249345 x^{8} + 3415 x^{7} + 1186026 x^{6} - 243705 x^{5} - 565919 x^{4} + 208315 x^{3} + 98094 x^{2} - 53928 x + 4514$ |
$21$ |
[21,0] |
$2^{14}\cdot 7^{12}\cdot 37^{7}\cdot 173^{9}$ |
$4$ |
$146.384924528$ |
$464.7391621778813$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
trivial |
$2$ |
$20$ |
$23956557420100000$ |
| 21.1.118...512.1 |
$x^{21} - 7 x^{20} + 28 x^{19} - 140 x^{18} + 539 x^{17} - 1589 x^{16} + 5208 x^{15} - 14550 x^{14} + 33726 x^{13} - 85652 x^{12} + 199136 x^{11} - 392630 x^{10} + 782026 x^{9} - 779296 x^{8} + 517684 x^{7} - 1556478 x^{6} + 6082125 x^{5} - 9280761 x^{4} + 10378536 x^{3} - 3684954 x^{2} + 2233119 x - 4362447$ |
$21$ |
[1,10] |
$2^{26}\cdot 3^{19}\cdot 7^{21}\cdot 43^{7}$ |
$4$ |
$156.30485381$ |
$432.03923993641814$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
trivial |
$2$ |
$10$ |
$2613750744265613.5$ |
| 21.1.961...632.1 |
$x^{21} - 7 x^{20} + 7 x^{19} + 91 x^{18} - 343 x^{17} - 35 x^{16} + 2793 x^{15} - 5271 x^{14} - 6174 x^{13} + 36862 x^{12} - 49252 x^{11} - 16100 x^{10} + 47152 x^{9} + 564704 x^{8} - 1702904 x^{7} + 1927968 x^{6} - 1988448 x^{5} + 2003568 x^{4} - 677040 x^{3} + 1010352 x^{2} - 1193808 x + 348528$ |
$21$ |
[1,10] |
$2^{33}\cdot 3^{19}\cdot 7^{21}\cdot 29^{7}$ |
$4$ |
$172.699989268$ |
$501.76800163534756$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
trivial |
$2$ |
$10$ |
$9623787853487828.0$ |
| 21.3.990...248.1 |
$x^{21} - 7 x^{20} - 21 x^{19} + 231 x^{18} + 77 x^{17} - 3255 x^{16} + 1701 x^{15} + 25169 x^{14} - 22890 x^{13} - 120750 x^{12} + 153188 x^{11} + 167748 x^{10} - 63896 x^{9} - 667016 x^{8} + 650208 x^{7} - 1194704 x^{6} + 2329152 x^{5} + 2944032 x^{4} - 4262720 x^{3} - 9240448 x^{2} + 9202368 x + 7854656$ |
$21$ |
[3,9] |
$-\,2^{33}\cdot 3^{18}\cdot 7^{21}\cdot 127^{7}$ |
$4$ |
$268.147750817$ |
$970.7909840104224$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
trivial |
$2$ |
$11$ |
$650945378943354200$ |
| 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) |
$[2]$ |
$2$ |
$10$ |
$2795263802088440300$ |
| 21.1.277...000.1 |
$x^{21} + 21 x^{19} - 438 x^{18} - 4161 x^{17} + 6876 x^{16} - 19449 x^{15} - 180030 x^{14} - 2020725 x^{13} - 25576020 x^{12} - 53377557 x^{11} - 224961030 x^{10} + 334966533 x^{9} - 10903896024 x^{8} - 28494481803 x^{7} - 139865038686 x^{6} - 209353969512 x^{5} - 2909582113104 x^{4} - 4534363813248 x^{3} - 30425924350656 x^{2} - 23356753720704 x - 82620315048384$ |
$21$ |
[1,10] |
$2^{33}\cdot 3^{19}\cdot 5^{19}\cdot 7^{17}\cdot 13^{7}$ |
$5$ |
$391.355227545$ |
$858.7418575231121$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 21.3.106...552.1 |
$x^{21} - 32144 x^{14} + 10493280 x^{7} + 34420736$ |
$21$ |
[3,9] |
$-\,2^{33}\cdot 7^{40}\cdot 41^{7}$ |
$3$ |
$417.207692483$ |
$1140.3140497195382$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
trivial |
$2$ |
$11$ |
$66661668531439590000$ |
| 21.1.185...448.1 |
$x^{21} + 49 x^{19} - 98 x^{18} + 1029 x^{17} - 4116 x^{16} + 16121 x^{15} - 62238 x^{14} + 228095 x^{13} - 1568000 x^{12} + 12925563 x^{11} + 8335586 x^{10} - 73278177 x^{9} + 670558140 x^{8} + 627665995 x^{7} + 589911294 x^{6} + 5927602716 x^{5} - 8314660648 x^{4} + 54391211280 x^{3} + 136118128608 x^{2} + 13796853952 x + 3093525184$ |
$21$ |
[1,10] |
$2^{33}\cdot 3^{18}\cdot 7^{17}\cdot 17^{19}$ |
$4$ |
$477.967652859$ |
$686.004561719963$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 21.1.254...000.1 |
$x^{21} - 7 x^{20} - 189 x^{19} + 2359 x^{18} + 8981 x^{17} - 277431 x^{16} + 789901 x^{15} + 14121359 x^{14} - 113584254 x^{13} - 128880486 x^{12} + 5222680680 x^{11} - 18571849464 x^{10} - 79222959900 x^{9} + 812925249780 x^{8} - 1456671621720 x^{7} - 10017806215788 x^{6} + 60981098550876 x^{5} - 83034819969948 x^{4} - 384001652308932 x^{3} + 1982371881158172 x^{2} - 3793231674684900 x + 2927357027960148$ |
$21$ |
[1,10] |
$2^{33}\cdot 3^{18}\cdot 5^{19}\cdot 7^{17}\cdot 29^{7}$ |
$5$ |
$485.291436841$ |
$1185.7956841338132$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
$[3]$ |
$2$ |
$10$ |
$362534892447484540000$ |
| 21.3.272...192.1 |
$x^{21} - 633864 x^{14} - 98737629144 x^{7} - 2130887864952$ |
$21$ |
[3,9] |
$-\,2^{18}\cdot 3^{19}\cdot 7^{17}\cdot 11^{19}\cdot 13^{7}$ |
$5$ |
$486.811367393$ |
$849.756336746501$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$11$ |
|
| 21.1.285...472.1 |
$x^{21} - 7 x^{20} + 7 x^{19} + 427 x^{18} - 2359 x^{17} + 973 x^{16} + 76713 x^{15} - 322251 x^{14} - 51030 x^{13} + 7422478 x^{12} - 25300156 x^{11} - 7171388 x^{10} + 387981832 x^{9} - 261657928 x^{8} - 2718060368 x^{7} + 14603743728 x^{6} - 41439308064 x^{5} + 7269519264 x^{4} + 196647632832 x^{3} - 9805798464 x^{2} - 433958835072 x + 1329014280576$ |
$21$ |
[1,10] |
$2^{33}\cdot 3^{18}\cdot 7^{21}\cdot 1063^{7}$ |
$4$ |
$544.440812002$ |
$2808.6039742892913$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 21.1.776...872.1 |
$x^{21} - 7 x^{20} + 217 x^{19} - 1039 x^{18} + 16265 x^{17} - 67195 x^{16} + 673467 x^{15} - 3262297 x^{14} + 21564242 x^{13} - 95264182 x^{12} + 490225342 x^{11} - 1802769584 x^{10} + 6308769536 x^{9} - 10492301162 x^{8} + 9691332318 x^{7} + 120179963920 x^{6} - 363434677664 x^{5} + 861500572256 x^{4} + 287175699584 x^{3} - 2226072324992 x^{2} + 4588789081088 x - 3290030542336$ |
$21$ |
[1,10] |
$2^{18}\cdot 7^{17}\cdot 17^{19}\cdot 127^{7}$ |
$4$ |
$571.062854885$ |
$1434.61593493665$ |
|
|
|
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 21.1.120...000.1 |
$x^{21} - 9 x^{20} + 30 x^{19} + 810 x^{18} + 7665 x^{17} + 145539 x^{16} - 1157136 x^{15} + 22352700 x^{14} + 59486130 x^{13} + 1036911690 x^{12} + 12604874796 x^{11} - 4048247664 x^{10} + 1332478142730 x^{9} + 705666957930 x^{8} + 52060322671200 x^{7} + 11992532164164 x^{6} + 1519304409798669 x^{5} + 1226053598985135 x^{4} + 22310247806481510 x^{3} + 4304090964183750 x^{2} + 204438880713856581 x + 48239717281463331$ |
$21$ |
[1,10] |
$2^{33}\cdot 3^{19}\cdot 5^{19}\cdot 7^{17}\cdot 83^{7}$ |
$5$ |
$726.021339757$ |
$2169.8514476370947$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 21.1.398...888.1 |
$x^{21} - 7 x^{20} + 112 x^{19} - 644 x^{18} + 5327 x^{17} - 25445 x^{16} + 141288 x^{15} - 561156 x^{14} + 2291226 x^{13} - 7649978 x^{12} + 24182648 x^{11} - 60738860 x^{10} + 134840062 x^{9} - 263747806 x^{8} + 513894856 x^{7} - 611271612 x^{6} + 815747877 x^{5} + 952919793 x^{4} + 211758120 x^{3} + 7341777072 x^{2} - 4043917773 x + 14403261843$ |
$21$ |
[1,10] |
$2^{33}\cdot 3^{19}\cdot 7^{40}\cdot 13^{7}$ |
$4$ |
$768.693616308$ |
$1780.9240065009901$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 21.1.559...000.1 |
$x^{21} - 660 x^{14} + 22192610 x^{7} + 133100000$ |
$21$ |
[1,10] |
$2^{33}\cdot 5^{19}\cdot 7^{21}\cdot 11^{19}$ |
$4$ |
$781.19424998$ |
$1387.7584075789991$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 21.1.938...168.1 |
$x^{21} - 7 x^{20} + 203 x^{19} - 1463 x^{18} + 18977 x^{17} - 132097 x^{16} + 1077041 x^{15} - 6775769 x^{14} + 40655986 x^{13} - 220547236 x^{12} + 1072325800 x^{11} - 4567524416 x^{10} + 17184792352 x^{9} - 56921931136 x^{8} + 196394111312 x^{7} - 511010249400 x^{6} + 1425798699360 x^{5} - 1876730026416 x^{4} + 4969555055472 x^{3} + 2779476929040 x^{2} + 5617933981296 x + 22093742653584$ |
$21$ |
[1,10] |
$2^{18}\cdot 3^{18}\cdot 7^{17}\cdot 13^{19}\cdot 43^{7}$ |
$5$ |
$800.675915879$ |
$1668.5735330378388$ |
|
|
|
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 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 |
$2$ |
$10$ |
|
| 21.1.713...952.1 |
$x^{21} - 7 x^{20} + 63 x^{19} - 273 x^{18} + 1337 x^{17} - 3927 x^{16} + 13041 x^{15} - 25267 x^{14} + 60690 x^{13} - 91518 x^{12} + 119084 x^{11} + 634284 x^{10} - 845936 x^{9} + 3003280 x^{8} - 9539064 x^{7} + 22197616 x^{6} - 45490368 x^{5} + 88338768 x^{4} - 71119664 x^{3} + 42161840 x^{2} - 83922384 x + 83379248$ |
$21$ |
[1,10] |
$2^{33}\cdot 3^{18}\cdot 7^{21}\cdot 11^{19}\cdot 13^{7}$ |
$5$ |
$1098.07785131$ |
$2878.743983499007$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 21.1.869...488.1 |
$x^{21} - 133 x^{19} - 602 x^{18} + 7581 x^{17} + 68628 x^{16} - 84749 x^{15} - 3258486 x^{14} - 10193785 x^{13} + 60618320 x^{12} + 517592649 x^{11} + 529827578 x^{10} - 8204305753 x^{9} - 35791605276 x^{8} - 5603826919 x^{7} + 479101024822 x^{6} + 1888661691252 x^{5} + 1078888675256 x^{4} - 11182890702928 x^{3} - 34923249923744 x^{2} - 50824408657344 x - 35473411152832$ |
$21$ |
[1,10] |
$2^{33}\cdot 7^{40}\cdot 769^{7}$ |
$3$ |
$1108.49345971$ |
$4938.507490292296$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 21.1.385...000.1 |
$x^{21} - 7 x^{20} - 21 x^{19} + 427 x^{18} - 1099 x^{17} - 7371 x^{16} + 51877 x^{15} - 28459 x^{14} - 763602 x^{13} + 2834454 x^{12} - 3354876 x^{11} - 12561948 x^{10} - 9581544 x^{9} + 867775608 x^{8} - 2671533936 x^{7} + 2861475120 x^{6} - 10704143520 x^{5} + 18597509280 x^{4} + 4102539840 x^{3} + 39186141120 x^{2} - 60906867840 x + 19907441280$ |
$21$ |
[1,10] |
$2^{33}\cdot 3^{19}\cdot 5^{19}\cdot 7^{21}\cdot 167^{7}$ |
$5$ |
$1327.80174223$ |
$5366.680916195881$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 21.1.515...000.1 |
$x^{21} - 7 x^{20} - 91 x^{19} + 1589 x^{18} - 1981 x^{17} - 101773 x^{16} + 735063 x^{15} + 1327111 x^{14} - 39409664 x^{13} + 144182136 x^{12} + 739819136 x^{11} - 7552096384 x^{10} + 15950698176 x^{9} + 59488601536 x^{8} - 544613923904 x^{7} + 574658074368 x^{6} + 11837589381632 x^{5} - 42702941725696 x^{4} + 17265195121664 x^{3} + 173123472026624 x^{2} - 632942656095232 x + 900920827165696$ |
$21$ |
[1,10] |
$2^{33}\cdot 3^{19}\cdot 5^{19}\cdot 7^{15}\cdot 13^{7}\cdot 71^{7}$ |
$6$ |
$1346.3926369$ |
$7235.887507985416$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
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 |
$2$ |
$10$ |
|
| 21.3.222...000.1 |
$x^{21} - 304920 x^{14} - 4098965310 x^{7} - 1194393600000$ |
$21$ |
[3,9] |
$-\,2^{33}\cdot 3^{18}\cdot 5^{19}\cdot 7^{21}\cdot 251^{7}$ |
$5$ |
$1443.44062619$ |
$6082.810822834404$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$11$ |
|
| 21.1.291...000.1 |
$x^{21} - 7 x^{20} - 21 x^{19} + 7 x^{18} + 1421 x^{17} + 1449 x^{16} - 15323 x^{15} - 108919 x^{14} - 11802 x^{13} + 1594194 x^{12} + 12744564 x^{11} - 28570668 x^{10} + 56321496 x^{9} + 938347368 x^{8} - 2826925296 x^{7} + 3242337840 x^{6} + 33289250400 x^{5} - 45591991200 x^{4} - 23651409600 x^{3} + 69480331200 x^{2} + 7011849600 x - 97809091200$ |
$21$ |
[1,10] |
$2^{33}\cdot 3^{19}\cdot 5^{19}\cdot 7^{21}\cdot 223^{7}$ |
$5$ |
$1462.16381328$ |
$6201.546013806121$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 21.1.302...000.1 |
$x^{21} + 21 x^{19} - 2268 x^{18} + 189 x^{17} - 40824 x^{16} + 2205441 x^{15} - 306090 x^{14} + 33070275 x^{13} - 1191655710 x^{12} + 200655063 x^{11} - 14287865130 x^{10} + 386285674383 x^{9} - 60913514214 x^{8} + 3472200615087 x^{7} - 75107387510946 x^{6} + 11228678522208 x^{5} - 449969373535374 x^{4} + 8108854969694472 x^{3} - 647042556248046 x^{2} + 24293782425706416 x - 374806423239554574$ |
$21$ |
[1,10] |
$2^{18}\cdot 3^{19}\cdot 5^{19}\cdot 7^{15}\cdot 29^{7}\cdot 181^{7}$ |
$6$ |
$1464.78964007$ |
$8211.019890704221$ |
|
|
|
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 21.1.540...488.1 |
$x^{21} - 7 x^{20} + 56 x^{19} - 112 x^{18} + 287 x^{17} + 2639 x^{16} - 4872 x^{15} + 28852 x^{14} + 85498 x^{13} + 65310 x^{12} + 3879176 x^{11} - 10560508 x^{10} + 7001358 x^{9} - 263126318 x^{8} + 885880792 x^{7} - 1200362772 x^{6} + 6132900389 x^{5} - 8618999431 x^{4} + 13069935536 x^{3} - 24705378292 x^{2} + 23796592883 x - 7883676593$ |
$21$ |
[1,10] |
$2^{26}\cdot 3^{19}\cdot 7^{21}\cdot 13^{7}\cdot 19^{19}$ |
$5$ |
$1505.79195977$ |
$3657.418857510169$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 21.1.133...688.1 |
$x^{21} - 7 x^{20} - 63 x^{19} + 1057 x^{18} - 1729 x^{17} - 46977 x^{16} + 316603 x^{15} + 325961 x^{14} - 11687256 x^{13} + 39839016 x^{12} + 136557204 x^{11} - 1367972340 x^{10} + 2516687964 x^{9} + 11623314444 x^{8} - 72186530568 x^{7} + 66246386724 x^{6} + 737941558788 x^{5} - 2591283279564 x^{4} + 1407559447980 x^{3} + 9674836268076 x^{2} - 28321950476484 x + 29930107102308$ |
$21$ |
[1,10] |
$2^{18}\cdot 3^{19}\cdot 7^{40}\cdot 491^{7}$ |
$4$ |
$1571.97111729$ |
$5208.136040958745$ |
|
|
|
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 21.1.233...728.1 |
$x^{21} - 21173202 x^{14} + 164940880734306 x^{7} - 715092588417024$ |
$21$ |
[1,10] |
$2^{26}\cdot 3^{19}\cdot 7^{17}\cdot 23^{19}\cdot 29^{7}$ |
$5$ |
$1614.42321556$ |
$3741.0450986431756$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
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 |
$2$ |
$10$ |
|
| 21.1.140...000.1 |
$x^{21} - 8730 x^{14} + 36455570370 x^{7} - 2612138803200000$ |
$21$ |
[1,10] |
$2^{26}\cdot 3^{18}\cdot 5^{19}\cdot 7^{21}\cdot 13^{7}\cdot 97^{7}$ |
$6$ |
$1962.16736257$ |
$9640.731656034428$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 21.1.140...088.1 |
$x^{21} - 7 x^{20} - 63 x^{19} - 119 x^{18} + 5327 x^{17} + 20055 x^{16} - 83237 x^{15} - 1383859 x^{14} - 2372160 x^{13} + 24367560 x^{12} + 187055820 x^{11} + 145844244 x^{10} - 2682084636 x^{9} - 13682621484 x^{8} - 12996844992 x^{7} + 145289526228 x^{6} + 753092808804 x^{5} + 754915945140 x^{4} - 2830120486452 x^{3} - 14383246351572 x^{2} - 29486874188772 x - 30092867037324$ |
$21$ |
[1,10] |
$2^{26}\cdot 3^{19}\cdot 7^{40}\cdot 601^{7}$ |
$4$ |
$2189.71191967$ |
$8562.408630564396$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 21.1.168...000.1 |
$x^{21} + 77 x^{19} - 14 x^{18} + 2541 x^{17} - 924 x^{16} + 46669 x^{15} - 24570 x^{14} + 517055 x^{13} - 480760 x^{12} + 3613071 x^{11} - 3850 x^{10} + 11794727 x^{9} - 4705764 x^{8} + 41542631 x^{7} + 118482154 x^{6} + 57561084 x^{5} + 954860816 x^{4} + 1014152048 x^{3} + 3747573928 x^{2} - 813508752 x + 5460680552$ |
$21$ |
[1,10] |
$2^{33}\cdot 5^{18}\cdot 7^{40}\cdot 97^{7}$ |
$4$ |
$2208.67634443$ |
$6968.439929406937$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 21.1.237...392.1 |
$x^{21} - 7 x^{20} - 133 x^{19} + 287 x^{18} + 11501 x^{17} + 22673 x^{16} - 503307 x^{15} - 2971235 x^{14} + 7171822 x^{13} + 123851322 x^{12} + 289386524 x^{11} - 1890715204 x^{10} - 13338735312 x^{9} - 15880653152 x^{8} + 150044092120 x^{7} + 784511093184 x^{6} + 1150521936032 x^{5} - 3757986589840 x^{4} - 22166544339184 x^{3} - 50296288035280 x^{2} - 61556969399632 x - 35029115785232$ |
$21$ |
[1,10] |
$2^{33}\cdot 3^{18}\cdot 7^{40}\cdot 379^{7}$ |
$4$ |
$2245.25238945$ |
$8890.234719925626$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$10$ |
|
| 21.3.164...000.1 |
$x^{21} - 7 x^{20} - 539 x^{19} + 3745 x^{18} + 123515 x^{17} - 856121 x^{16} - 15509193 x^{15} + 108271479 x^{14} + 1138001760 x^{13} - 8161548500 x^{12} - 47160362200 x^{11} + 364571599000 x^{10} + 889660452520 x^{9} - 8783229793240 x^{8} + 1697893096120 x^{7} + 79566366868800 x^{6} - 223602818989200 x^{5} + 302507514834000 x^{4} - 231401632434000 x^{3} - 7218977715600 x^{2} + 2011887049200 x + 1281974857676400$ |
$21$ |
[3,9] |
$-\,2^{26}\cdot 3^{19}\cdot 5^{19}\cdot 7^{21}\cdot 2129^{7}$ |
$5$ |
$2461.93339305$ |
$13549.409600653706$ |
|
|
? |
$S_3\times F_7$ (as 21T15) |
not computed |
$2$ |
$11$ |
|
