| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 3.20.10.1 |
$20$ |
$x^{20} + 30 x^{18} + 409 x^{16} + 4 x^{15} + 3244 x^{14} - 60 x^{13} + 16162 x^{12} - 1250 x^{11} + 53008 x^{10} - 7102 x^{9} + 121150 x^{8} - 12140 x^{7} + 219264 x^{6} + 5736 x^{5} + 257465 x^{4} + 35250 x^{3} + 250183 x^{2} + 51502 x + 77812$ |
$3$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + 2 t^{6} + 2 t^{5} + 2 t^{4} + t + 2$ |
$x^{2} + 3$ |
$[0]$ |
$[1]$ |
| 7.20.10.1 |
$20$ |
$x^{20} + 70 x^{18} + 2207 x^{16} + 2 x^{15} + 41168 x^{14} - 68 x^{13} + 501639 x^{12} - 3674 x^{11} + 4175501 x^{10} - 48430 x^{9} + 24202032 x^{8} - 163712 x^{7} + 97377995 x^{6} + 430996 x^{5} + 259701777 x^{4} + 2947158 x^{3} + 412861211 x^{2} + 7541370 x + 287825400$ |
$7$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + t^{6} + t^{5} + 4 t^{4} + t^{3} + 2 t^{2} + 3 t + 3$ |
$x^{2} + 7$ |
$[0]$ |
$[1]$ |
| 11.20.10.1 |
$20$ |
$x^{20} + 110 x^{18} + 5445 x^{16} + 14 x^{15} + 159736 x^{14} - 750 x^{13} + 3072686 x^{12} - 63238 x^{11} + 40505969 x^{10} - 1276218 x^{9} + 371475517 x^{8} - 8129658 x^{7} + 2346294186 x^{6} + 21459110 x^{5} + 9748861387 x^{4} + 404546298 x^{3} + 23847186819 x^{2} + 1134990386 x + 25653134148$ |
$11$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + 7 t^{5} + 8 t^{4} + 10 t^{3} + 6 t^{2} + 6 t + 2$ |
$x^{2} + 11$ |
$[0]$ |
$[1]$ |
| 11.20.18.1 |
$20$ |
$x^{20} + 70 x^{19} + 2225 x^{18} + 42420 x^{17} + 539670 x^{16} + 4821684 x^{15} + 31004730 x^{14} + 144683280 x^{13} + 488310165 x^{12} + 1177567510 x^{11} + 1996241675 x^{10} + 2355135790 x^{9} + 1953262935 x^{8} + 1157863560 x^{7} + 500734950 x^{6} + 191763012 x^{5} + 243790230 x^{4} + 806750280 x^{3} + 2014356815 x^{2} + 2999040310 x + 2009802620$ |
$11$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 7 t + 2$ |
$x^{10} + 11$ |
$[0]$ |
$[1]$ |
| 11.20.18.2 |
$20$ |
$x^{20} - 198 x^{10} - 10043$ |
$11$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 7 t + 2$ |
$x^{10} + 44 t + 55$ |
$[0]$ |
$[1]$ |
| 11.20.18.3 |
$20$ |
$x^{20} - 297 x^{10} - 8954$ |
$11$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 7 t + 2$ |
$x^{10} + 55 t + 44$ |
$[0]$ |
$[1]$ |
| 11.20.18.4 |
$20$ |
$x^{20} - 110 x^{10} - 16819$ |
$11$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 7 t + 2$ |
$x^{10} + 44 t + 99$ |
$[0]$ |
$[1]$ |
| 11.20.18.5 |
$20$ |
$x^{20} - 726 x^{10} + 7744$ |
$11$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 7 t + 2$ |
$x^{10} + 110 t + 22$ |
$[0]$ |
$[1]$ |
| 13.20.10.1 |
$20$ |
$x^{20} + 1300 x^{19} + 760630 x^{18} + 263792100 x^{17} + 60057199605 x^{16} + 9380582749214 x^{15} + 1018311780763300 x^{14} + 75907334238787106 x^{13} + 3723649138838156452 x^{12} + 108997457660124507008 x^{11} + 1475055936539742904023 x^{10} + 1416974086834508372240 x^{9} + 629829636823684464902 x^{8} + 192953738203144224036 x^{7} + 798096976259371806456 x^{6} + 10514315760388324731550 x^{5} + 12773049284749524150248 x^{4} + 15044084853570106847092 x^{3} + 5322693419045842540420 x^{2} + 2225999864943544940488 x + 2898376971411614164801$ |
$13$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + 7 t^{5} + 5 t^{4} + 8 t^{3} + t^{2} + t + 2$ |
$x^{2} + 130 x + 13$ |
$[0]$ |
$[1]$ |
| 17.20.10.1 |
$20$ |
$x^{20} + 1530 x^{19} + 1053575 x^{18} + 430023330 x^{17} + 115219345095 x^{16} + 21179127107942 x^{15} + 2705561983266777 x^{14} + 237314944467250907 x^{13} + 13696435412906736123 x^{12} + 471506205668928373499 x^{11} + 7493452481890385447638 x^{10} + 8015640618238448390772 x^{9} + 3961351679336933294924 x^{8} + 1343700033572449112637 x^{7} + 6339565094661515050803 x^{6} + 96914313552023485021024 x^{5} + 96698524475936930004680 x^{4} + 70077298249497512241355 x^{3} + 85352967358824559052487 x^{2} + 101334540265351382936671 x + 31078993826931964273351$ |
$17$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + 13 t^{5} + 6 t^{4} + 5 t^{3} + 9 t^{2} + 12 t + 3$ |
$x^{2} + 153 x + 17$ |
$[0]$ |
$[1]$ |
| 19.20.10.1 |
$20$ |
$x^{20} + 190 x^{18} + 16245 x^{16} + 36 x^{15} + 823106 x^{14} - 3386 x^{13} + 27361982 x^{12} - 466480 x^{11} + 623608258 x^{10} - 16361762 x^{9} + 9874880623 x^{8} - 202428566 x^{7} + 107361060449 x^{6} + 371628878 x^{5} + 766799662247 x^{4} + 26518316394 x^{3} + 3240176666731 x^{2} + 149940122806 x + 6108844895300$ |
$19$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + 18 t^{5} + 13 t^{4} + 17 t^{3} + 3 t^{2} + 4 t + 2$ |
$x^{2} + 19$ |
$[0]$ |
$[1]$ |
| 23.20.10.1 |
$20$ |
$x^{20} + 230 x^{18} + 23805 x^{16} + 34 x^{15} + 1460050 x^{14} - 3880 x^{13} + 58764092 x^{12} - 641928 x^{11} + 1621745249 x^{10} - 27287260 x^{9} + 31084370240 x^{8} - 414905156 x^{7} + 408669540835 x^{6} + 749302778 x^{5} + 3526564587186 x^{4} + 78167532212 x^{3} + 18026321758681 x^{2} + 547891114226 x + 41395901856184$ |
$23$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + 17 t^{5} + 5 t^{4} + 15 t^{3} + 6 t^{2} + t + 5$ |
$x^{2} + 23$ |
$[0]$ |
$[1]$ |
| 29.20.10.1 |
$20$ |
$x^{20} + 6960 x^{19} + 21799010 x^{18} + 40460240880 x^{17} + 49283418162647 x^{16} + 41165500229203058 x^{15} + 23879801383965189616 x^{14} + 9499896292258888043216 x^{13} + 2480684832241205509548255 x^{12} + 384077194188611139462329268 x^{11} + 26818100569687168868311009879 x^{10} + 11138248723287768995030988380 x^{9} + 2088972610423101087432199252 x^{8} + 677400869523152110483082154 x^{7} + 36380019578935283812075353883 x^{6} + 678239206299977633396713282840 x^{5} + 360014322838543456146311352065 x^{4} + 502022080054925403788641527836 x^{3} + 121207053761163365840714801084 x^{2} + 594477301937249833966525679200 x + 77880915350863622044998705816$ |
$29$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + t^{6} + 25 t^{5} + 8 t^{4} + 17 t^{3} + 2 t^{2} + 22 t + 2$ |
$x^{2} + 696 x + 29$ |
$[0]$ |
$[1]$ |
| 31.20.10.1 |
$20$ |
$x^{20} + 310 x^{18} + 43245 x^{16} + 60 x^{15} + 3574972 x^{14} - 9274 x^{13} + 193921704 x^{12} - 2032582 x^{11} + 7212577094 x^{10} - 116836200 x^{9} + 186334453822 x^{8} - 2463178688 x^{7} + 3302885374017 x^{6} + 3272043072 x^{5} + 38438751172855 x^{4} + 807557478422 x^{3} + 264888955753640 x^{2} + 8100348149340 x + 818246212680825$ |
$31$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + 30 t^{5} + 26 t^{4} + 13 t^{3} + 13 t^{2} + 13 t + 3$ |
$x^{2} + 31$ |
$[0]$ |
$[1]$ |
| 31.20.18.1 |
$20$ |
$x^{20} + 290 x^{19} + 37875 x^{18} + 2934510 x^{17} + 149437695 x^{16} + 5230363788 x^{15} + 127595959770 x^{14} + 2148071100540 x^{13} + 24030152007165 x^{12} + 164169287704070 x^{11} + 562599481567659 x^{10} + 492507863121200 x^{9} + 216271369229310 x^{8} + 57998009470740 x^{7} + 10339811558940 x^{6} + 1428363788112 x^{5} + 3898803827955 x^{4} + 62585037905730 x^{3} + 678106401456240 x^{2} + 4354372780851110 x + 12582473971110935$ |
$31$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 29 t + 3$ |
$x^{10} + 31$ |
$[0]$ |
$[1]$ |
| 31.20.18.2 |
$20$ |
$x^{20} - 21049 x^{10} - 13714431$ |
$31$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 29 t + 3$ |
$x^{10} + 775 t + 713$ |
$[0]$ |
$[1]$ |
| 31.20.18.3 |
$20$ |
$x^{20} - 18755 x^{10} + 104749$ |
$31$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 29 t + 3$ |
$x^{10} + 651 t + 62$ |
$[0]$ |
$[1]$ |
| 31.20.18.4 |
$20$ |
$x^{20} - 22537 x^{10} - 18213833$ |
$31$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 29 t + 3$ |
$x^{10} + 837 t + 868$ |
$[0]$ |
$[1]$ |
| 31.20.18.5 |
$20$ |
$x^{20} - 62 x^{10} - 795708$ |
$31$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 29 t + 3$ |
$x^{10} + 62 t + 868$ |
$[0]$ |
$[1]$ |
| 37.20.10.1 |
$20$ |
$x^{20} + 9250 x^{19} + 38503495 x^{18} + 94977455250 x^{17} + 153751166517855 x^{16} + 170675742998689516 x^{15} + 131577722009919695668 x^{14} + 69561756639152767666126 x^{13} + 24137753991706952217385926 x^{12} + 4965367121067902990048542442 x^{11} + 460368174977271112011978763690 x^{10} + 183718584536767900743090082634 x^{9} + 33045145315837717465411193521 x^{8} + 3718521157319440558975201140 x^{7} + 40631689800856647468314899381 x^{6} + 3819279540333625037397917082846 x^{5} + 14139741820299676077147983150294 x^{4} + 10503328420260177268738654311450 x^{3} + 6187051652316030795968553804175 x^{2} + 2290787619686058273425441941748 x + 998743549635919885802711795071$ |
$37$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + 8 t^{5} + 29 t^{4} + 18 t^{3} + 11 t^{2} + 4 t + 2$ |
$x^{2} + 925 x + 37$ |
$[0]$ |
$[1]$ |
| 41.20.10.1 |
$20$ |
$x^{20} + 9430 x^{19} + 40016615 x^{18} + 100630896510 x^{17} + 166073520031095 x^{16} + 187942823214160602 x^{15} + 147709892613984643907 x^{14} + 79611042825175379317713 x^{13} + 28163053203847973313607909 x^{12} + 5906439003143010652646214905 x^{11} + 558362820214537944025069482710 x^{10} + 242163999577676707517457437612 x^{9} + 47342335751468947980014539789 x^{8} + 5573777865055303482860924327 x^{7} + 18991399056960407073565566375 x^{6} + 1854359076619653718142495400160 x^{5} + 17672091396430074540344309348373 x^{4} + 7601532668773905655618820459141 x^{3} + 12080364254973977953281046222393 x^{2} + 17714771606599815516117098030285 x + 4081214922168983966560412640409$ |
$41$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + 3 t^{5} + 31 t^{4} + 8 t^{3} + 20 t^{2} + 30 t + 6$ |
$x^{2} + 943 x + 41$ |
$[0]$ |
$[1]$ |
| 41.20.18.1 |
$20$ |
$x^{20} + 380 x^{19} + 65040 x^{18} + 6605160 x^{17} + 440999220 x^{16} + 20244309696 x^{15} + 648125794560 x^{14} + 14333872663680 x^{13} + 211063006300320 x^{12} + 1906536727399040 x^{11} + 8764493209478738 x^{10} + 11439220364409820 x^{9} + 7598268229453560 x^{8} + 3096116761959840 x^{7} + 839988685002480 x^{6} + 158221472497632 x^{5} + 45857137640640 x^{4} + 548536315624320 x^{3} + 7757897903621280 x^{2} + 65236875545652160 x + 246865740760233489$ |
$41$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 38 t + 6$ |
$x^{10} + 41$ |
$[0]$ |
$[1]$ |
| 41.20.18.2 |
$20$ |
$x^{20} - 47970 x^{10} - 35796895$ |
$41$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 38 t + 6$ |
$x^{10} + 1312 t + 943$ |
$[0]$ |
$[1]$ |
| 41.20.18.3 |
$20$ |
$x^{20} - 52808 x^{10} + 7322436$ |
$41$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 38 t + 6$ |
$x^{10} + 1394 t + 82$ |
$[0]$ |
$[1]$ |
| 41.20.18.4 |
$20$ |
$x^{20} - 1804 x^{10} - 4557191$ |
$41$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 38 t + 6$ |
$x^{10} + 123 t + 1435$ |
$[0]$ |
$[1]$ |
| 41.20.18.5 |
$20$ |
$x^{20} + 410 x^{10} - 554730$ |
$41$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 38 t + 6$ |
$x^{10} + 41 t + 984$ |
$[0]$ |
$[1]$ |
| 43.20.10.1 |
$20$ |
$x^{20} + 430 x^{18} + 83211 x^{16} + 52 x^{15} + 9540912 x^{14} - 11170 x^{13} + 717692337 x^{12} - 3372716 x^{11} + 37010347804 x^{10} - 269232708 x^{9} + 1325487436759 x^{8} - 7960175808 x^{7} + 32568819043275 x^{6} + 10102968340 x^{5} + 525626893533046 x^{4} + 4942167102674 x^{3} + 5030744745559295 x^{2} + 70322620134568 x + 21662509604919991$ |
$43$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + 3 t^{6} + 26 t^{5} + 36 t^{4} + 5 t^{3} + 27 t^{2} + 24 t + 3$ |
$x^{2} + 43$ |
$[0]$ |
$[1]$ |
| 47.20.10.1 |
$20$ |
$x^{20} + 470 x^{18} + 99407 x^{16} + 84 x^{15} + 12458788 x^{14} - 19704 x^{13} + 1024630265 x^{12} - 6524742 x^{11} + 57779132296 x^{10} - 568988778 x^{9} + 2262681800743 x^{8} - 18290665650 x^{7} + 60769938208634 x^{6} + 30826727550 x^{5} + 1071335444096649 x^{4} + 13666931736234 x^{3} + 11194133951010933 x^{2} + 210274515994320 x + 52633940432881059$ |
$47$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + t^{6} + 42 t^{5} + 14 t^{4} + 18 t^{3} + 45 t^{2} + 45 t + 5$ |
$x^{2} + 47$ |
$[0]$ |
$[1]$ |
| 53.20.10.1 |
$20$ |
$x^{20} + 24380 x^{19} + 267473510 x^{18} + 1738942629900 x^{17} + 7419262522900487 x^{16} + 21706107794459605904 x^{15} + 44100624258180613309562 x^{14} + 61440934874497808536941146 x^{13} + 56176465041915661981336628897 x^{12} + 30439864038741170756270844209258 x^{11} + 7424811675860653788321156201323944 x^{10} + 1613312855489271936165509067510010 x^{9} + 157855861469919863586675966552328 x^{8} + 39582184062963848751972048102356 x^{7} + 7422570775966522728093708500086657 x^{6} + 999774135287503315068396803550440 x^{5} + 8295925394393202629019319569323340 x^{4} + 201449623305106378807795348335462248 x^{3} + 125260147503094944590712140911785376 x^{2} + 220330211868718689082836062956515840 x + 19567768569869158180108564607252752$ |
$53$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + t^{6} + t^{4} + 27 t^{3} + 15 t^{2} + 29 t + 2$ |
$x^{2} + 2438 x + 53$ |
$[0]$ |
$[1]$ |
| 59.20.10.1 |
$20$ |
$x^{20} + 590 x^{18} + 156647 x^{16} + 56 x^{15} + 24645530 x^{14} - 16512 x^{13} + 2544474199 x^{12} - 6831170 x^{11} + 180127728426 x^{10} - 748319782 x^{9} + 8855458033402 x^{8} - 30464919694 x^{7} + 298564406777660 x^{6} + 46545665568 x^{5} + 6607092359626593 x^{4} + 35488948994254 x^{3} + 86651760103167029 x^{2} + 694708766184516 x + 511289841342443835$ |
$59$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + t^{6} + 28 t^{5} + 25 t^{4} + 4 t^{3} + 39 t^{2} + 15 t + 2$ |
$x^{2} + 59$ |
$[0]$ |
$[1]$ |
| 61.20.10.1 |
$20$ |
$x^{20} + 23790 x^{19} + 254684455 x^{18} + 1615727373390 x^{17} + 6726746898148815 x^{16} + 19203852146692478204 x^{15} + 38072731098313271134860 x^{14} + 51759668665180480463236998 x^{13} + 46180158671968922312864287400 x^{12} + 24418471153164569216664517338698 x^{11} + 5812534674953133178238833157551738 x^{10} + 1489526741409283378704040289947720 x^{9} + 171837820124343027910821720435771 x^{8} + 13042097983206752215246386338624 x^{7} + 684773439522037502482523474931877 x^{6} + 163031545728204376413569999030531288 x^{5} + 109054223096829037983782076948166895 x^{4} + 265952822372330352623163811192035784 x^{3} + 113092314188683641233029026457255380 x^{2} + 40164801523989962051957652162073104 x + 12571259212903087025076319064375092$ |
$61$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + 28 t^{5} + 15 t^{4} + 44 t^{3} + 16 t^{2} + 6 t + 2$ |
$x^{2} + 2379 x + 61$ |
$[0]$ |
$[1]$ |
| 61.20.18.1 |
$20$ |
$x^{20} + 600 x^{19} + 162020 x^{18} + 25930800 x^{17} + 2724192180 x^{16} + 196318166400 x^{15} + 9830437344960 x^{14} + 337884929683200 x^{13} + 7636817448579360 x^{12} + 102800344666809600 x^{11} + 635130429877448186 x^{10} + 205600689333655800 x^{9} + 30547269804188460 x^{8} + 2703081015950400 x^{7} + 157452646293840 x^{6} + 18202263451200 x^{5} + 595847157070560 x^{4} + 20411718589267200 x^{3} + 459008305272668960 x^{2} + 6116708783871177600 x + 36679852334103840841$ |
$61$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 60 t + 2$ |
$x^{10} + 61$ |
$[0]$ |
$[1]$ |
| 61.20.18.2 |
$20$ |
$x^{20} + 3538 x^{10} - 212097$ |
$61$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 60 t + 2$ |
$x^{10} + 61 t + 3599$ |
$[0]$ |
$[1]$ |
| 61.20.18.3 |
$20$ |
$x^{20} - 212036 x^{10} - 848388$ |
$61$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 60 t + 2$ |
$x^{10} + 3538 t + 122$ |
$[0]$ |
$[1]$ |
| 61.20.18.4 |
$20$ |
$x^{20} - 18056 x^{10} - 2031666$ |
$61$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 60 t + 2$ |
$x^{10} + 305 t + 122$ |
$[0]$ |
$[1]$ |
| 61.20.18.5 |
$20$ |
$x^{20} - 206546 x^{10} - 575352183$ |
$61$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 60 t + 2$ |
$x^{10} + 3538 t + 2867$ |
$[0]$ |
$[1]$ |
| 67.20.10.1 |
$20$ |
$x^{20} + 670 x^{18} + 202009 x^{16} + 42 x^{15} + 36091560 x^{14} - 14038 x^{13} + 4231376308 x^{12} - 6637292 x^{11} + 340154509301 x^{10} - 824753856 x^{9} + 18989007200335 x^{8} - 37716784108 x^{7} + 726940162020720 x^{6} + 98161830824 x^{5} + 18265815332465576 x^{4} + 57532416237472 x^{3} + 272064932525237232 x^{2} + 1253155128777760 x + 1824464280902292800$ |
$67$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + 2 t^{6} + 21 t^{5} + 16 t^{3} + 7 t^{2} + 23 t + 2$ |
$x^{2} + 67$ |
$[0]$ |
$[1]$ |
| 71.20.10.1 |
$20$ |
$x^{20} + 710 x^{18} + 226845 x^{16} + 106 x^{15} + 42949354 x^{14} - 37578 x^{13} + 5336426458 x^{12} - 18768486 x^{11} + 454659111217 x^{10} - 2472757088 x^{9} + 26900732167852 x^{8} - 120506901020 x^{7} + 1091437963959734 x^{6} + 275754245334 x^{5} + 29061311085375366 x^{4} + 204843050123296 x^{3} + 458533194131191793 x^{2} + 4775130218485164 x + 3254939554993636443$ |
$71$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + 53 t^{5} + 17 t^{4} + 26 t^{3} + t^{2} + 40 t + 7$ |
$x^{2} + 71$ |
$[0]$ |
$[1]$ |
| 71.20.18.1 |
$20$ |
$x^{20} + 690 x^{19} + 214315 x^{18} + 39464550 x^{17} + 4772095335 x^{16} + 396068750028 x^{15} + 22863032239530 x^{14} + 907397730980460 x^{13} + 23758988434053645 x^{12} + 373479288602069430 x^{11} + 2776582594200329827 x^{10} + 2614355020214535000 x^{9} + 1164190433283795270 x^{8} + 311237424512848980 x^{7} + 54894476387724540 x^{6} + 6684505714175184 x^{5} + 2156328745915155 x^{4} + 62824397290001010 x^{3} + 1622349213602151520 x^{2} + 24839373752686583430 x + 171139313460655676887$ |
$71$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 69 t + 7$ |
$x^{10} + 71$ |
$[0]$ |
$[1]$ |
| 71.20.18.2 |
$20$ |
$x^{20} - 710 x^{10} - 23733028$ |
$71$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 69 t + 7$ |
$x^{10} + 142 t + 4544$ |
$[0]$ |
$[1]$ |
| 71.20.18.3 |
$20$ |
$x^{20} - 246867 x^{10} - 278520291$ |
$71$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 69 t + 7$ |
$x^{10} + 3621 t + 1491$ |
$[0]$ |
$[1]$ |
| 71.20.18.4 |
$20$ |
$x^{20} - 143065 x^{10} - 615238927$ |
$71$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 69 t + 7$ |
$x^{10} + 2201 t + 4402$ |
$[0]$ |
$[1]$ |
| 71.20.18.5 |
$20$ |
$x^{20} - 144059 x^{10} - 543888613$ |
$71$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 69 t + 7$ |
$x^{10} + 2201 t + 3905$ |
$[0]$ |
$[1]$ |
| 73.20.10.1 |
$20$ |
$x^{20} + 39420 x^{19} + 699272110 x^{18} + 7350766645500 x^{17} + 50709493414869889 x^{16} + 239878012109982043278 x^{15} + 788009141229343891301596 x^{14} + 1775084400761092234734450300 x^{13} + 2624119183592960052782420750500 x^{12} + 2298915577616309915572541526311208 x^{11} + 906462393538225278210972690360941625 x^{10} + 167820840727833487163282450063262234 x^{9} + 13989205748065390968433205304468246 x^{8} + 5327380588859879350055381215798008 x^{7} + 1847147099437794334290528517904650103 x^{6} + 13848064732736663050202301188004065844 x^{5} + 22186528046365837823809812984117622806 x^{4} + 31567733192738834109428988521589201012 x^{3} + 30859406629479901396566925989714419105 x^{2} + 63636112670818949514002379759854406588 x + 5698037845740262051492449253476590884$ |
$73$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + 2 t^{6} + 15 t^{5} + 23 t^{4} + 33 t^{3} + 32 t^{2} + 69 t + 5$ |
$x^{2} + 3942 x + 73$ |
$[0]$ |
$[1]$ |
| 79.20.10.1 |
$20$ |
$x^{20} + 790 x^{18} + 280853 x^{16} + 88 x^{15} + 59164782 x^{14} - 34758 x^{13} + 8178429888 x^{12} - 19224688 x^{11} + 775140836576 x^{10} - 2820583854 x^{9} + 51018971729439 x^{8} - 154136250386 x^{7} + 2303003671223743 x^{6} + 279330951596 x^{5} + 68243295989219076 x^{4} + 320793493151024 x^{3} + 1198784543456435317 x^{2} + 8449896883512118 x + 9478477419854903792$ |
$79$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + 4 t^{6} + 44 t^{5} + 51 t^{4} + t^{3} + 30 t^{2} + 42 t + 3$ |
$x^{2} + 79$ |
$[0]$ |
$[1]$ |
| 83.20.10.1 |
$20$ |
$x^{20} + 830 x^{18} + 310005 x^{16} + 14 x^{15} + 68614440 x^{14} - 5664 x^{13} + 9966247410 x^{12} - 3593628 x^{11} + 992638242089 x^{10} - 545778950 x^{9} + 68657478413907 x^{8} - 26827708698 x^{7} + 3256326128093333 x^{6} + 494213801312 x^{5} + 101353150247158124 x^{4} + 76331583806884 x^{3} + 1869402571761036889 x^{2} + 1569148353356158 x + 15516041319378523268$ |
$83$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + 7 t^{5} + 73 t^{3} + 53 t + 2$ |
$x^{2} + 83$ |
$[0]$ |
$[1]$ |
| 89.20.10.1 |
$20$ |
$x^{20} + 60520 x^{19} + 1648202570 x^{18} + 26599825989480 x^{17} + 281719417159711967 x^{16} + 2045967144288036688128 x^{15} + 10318561159101005979302586 x^{14} + 35684922843664991642606343708 x^{13} + 80988539509598460313681681619845 x^{12} + 108925174408880568718515592389725560 x^{11} + 65930165128283275243346459820233268492 x^{10} + 9694340558239669008306558743060468312 x^{9} + 641591779183241627390445974231885808 x^{8} + 135374127883859978330520354973215340 x^{7} + 67669788290340872461844757519290646480 x^{6} + 1064171769312382855095479920253697950128 x^{5} + 2262077531250510641953740473136312321280 x^{4} + 5541259052226773567465471521373376065504 x^{3} + 3669454744316689638907843176701758409092 x^{2} + 368335721735500583301638178995584101032 x + 202378300009267630410053397835003453144$ |
$89$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + t^{6} + 16 t^{5} + 33 t^{4} + 82 t^{3} + 52 t^{2} + 4 t + 3$ |
$x^{2} + 6052 x + 89$ |
$[0]$ |
$[1]$ |
| 97.20.10.1 |
$20$ |
$x^{20} + 51410 x^{19} + 1189345615 x^{18} + 16305167067450 x^{17} + 146694030963441735 x^{16} + 904990193263763596616 x^{15} + 3877166764496849753605992 x^{14} + 11390196300834916756884381362 x^{13} + 21959532842530388809954667230187 x^{12} + 25089142191603648480456840127229172 x^{11} + 12900884090326324520043892842771869809 x^{10} + 2433646792670909120709868599307370306 x^{9} + 206617495347557189872815346170945404 x^{8} + 10879362567183794657683038165882642 x^{7} + 553708427229374229304099239850545560 x^{6} + 285423854617692156935209141124737492252 x^{5} + 878892239481637110248704773823800648367 x^{4} + 504622028074205289772002001906474272054 x^{3} + 465660291730784560775493663243148713414 x^{2} + 275095615147713494670638110687303603912 x + 69506392625143570227438077493716068309$ |
$97$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + 22 t^{5} + 66 t^{4} + 34 t^{3} + 34 t^{2} + 20 t + 5$ |
$x^{2} + 5141 x + 97$ |
$[0]$ |
$[1]$ |
| 101.20.10.1 |
$20$ |
$x^{20} + 81810 x^{19} + 3011795255 x^{18} + 65705377614210 x^{17} + 940688833819184417 x^{16} + 9234952982596370089682 x^{15} + 62959545317709998184060113 x^{14} + 294328878847215860102254748661 x^{13} + 902975337293038038772112685642087 x^{12} + 1641652102511853765518539459884892815 x^{11} + 1343145025675883574059261119282114137841 x^{10} + 165806862652240779872222495565163133979 x^{9} + 9212174099389283715301278861688196919 x^{8} + 2005367408227319433633165144849078567 x^{7} + 1453101739827636922099842605861341969982 x^{6} + 90163936511568462387456192002137944236991 x^{5} + 71529786217571473805669738253167923799211 x^{4} + 137851378832715675212479319368605750818323 x^{3} + 139419466772718148642075275372506517357158 x^{2} + 73215188634933332449319245708333026453000 x + 3568744734466206338608454825601987805275$ |
$101$ |
$2$ |
$10$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$t^{10} + t^{6} + 67 t^{5} + 49 t^{4} + 100 t^{3} + 100 t^{2} + 52 t + 2$ |
$x^{2} + 8181 x + 101$ |
$[0]$ |
$[1]$ |
| 101.20.18.1 |
$20$ |
$x^{20} + 970 x^{19} + 423425 x^{18} + 109538220 x^{17} + 18597923670 x^{16} + 2165543175084 x^{15} + 175147262245530 x^{14} + 9717443435216880 x^{13} + 354085020373873365 x^{12} + 7660571942427452410 x^{11} + 75157351890443584655 x^{10} + 15321143884855002790 x^{9} + 1416340081538239185 x^{8} + 77739558536277960 x^{7} + 2804232305629050 x^{6} + 287630121668772 x^{5} + 17646001203055530 x^{4} + 977818741384396680 x^{3} + 35560594146126184865 x^{2} + 766365392915156677510 x + 7432163840426080841750$ |
$101$ |
$10$ |
$2$ |
$18$ |
$C_2\times C_{10}$ (as 20T3) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$t^{2} + 97 t + 2$ |
$x^{10} + 101$ |
$[0]$ |
$[1]$ |
