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Label Polynomial Discriminant Galois group Class group Regulator
21.3.107...936.1 $x^{21} - 6 x^{19} - 6 x^{18} + 36 x^{17} + 30 x^{16} - 138 x^{15} - 36 x^{14} + 447 x^{13} - 10 x^{12} - 1071 x^{11} + 888 x^{10} + 1111 x^{9} - 3042 x^{8} + 993 x^{7} + 2302 x^{6} - 1764 x^{5} + 648 x^{4} - 800 x^{3} + 864 x^{2} - 576 x + 128$ $-\,2^{14}\cdot 3^{21}\cdot 184607^{3}$ $C_3^7.(C_2^7.S_7)$ (as 21T152) $[2]$ $1825026.08868$
21.1.214...401.1 $x^{21} - 9 x^{20} + 37 x^{19} - 84 x^{18} + 105 x^{17} - 62 x^{16} + 92 x^{15} - 450 x^{14} + 800 x^{13} + 216 x^{12} - 1254 x^{11} - 2043 x^{10} + 6711 x^{9} - 3102 x^{8} - 7 x^{7} - 2603 x^{6} + 6489 x^{5} - 6487 x^{4} + 3977 x^{3} - 1257 x^{2} + 160 x + 1$ $3^{20}\cdot 151^{10}$ $C_3^6.D_7$ (as 21T51) $[3]$ $6183408.34933$
21.3.139...488.1 $x^{21} - 6 x^{20} + 27 x^{19} - 106 x^{18} + 291 x^{17} - 654 x^{16} + 1319 x^{15} - 2328 x^{14} + 3921 x^{13} - 5612 x^{12} + 7467 x^{11} - 10410 x^{10} + 10203 x^{9} - 11046 x^{8} + 13119 x^{7} - 7050 x^{6} + 8664 x^{5} - 6660 x^{4} + 2044 x^{3} - 2778 x^{2} + 1104 x - 62$ $-\,2^{18}\cdot 3^{28}\cdot 7^{17}$ $C_3\times F_7$ (as 21T9) $[3]$ $470357525.1874316$
21.3.139...488.2 $x^{21} - 21 x^{19} - 2 x^{18} + 189 x^{17} - 843 x^{15} + 126 x^{14} + 1869 x^{13} - 1072 x^{12} - 2457 x^{11} + 7770 x^{10} + 1395 x^{9} - 24948 x^{8} - 9723 x^{7} + 52888 x^{6} + 40320 x^{5} - 48594 x^{4} - 75620 x^{3} - 9702 x^{2} + 28266 x + 11494$ $-\,2^{18}\cdot 3^{28}\cdot 7^{17}$ $C_3\times F_7$ (as 21T9) $[3]$ $438540258.63952965$
21.1.232...048.1 $x^{21} - 7 x^{20} + 11 x^{19} - x^{18} + 29 x^{17} - 31 x^{16} - 207 x^{15} + 283 x^{14} + 178 x^{13} - 774 x^{12} + 1676 x^{11} - 1948 x^{10} - 1140 x^{9} + 7012 x^{8} - 10652 x^{7} + 6060 x^{6} + 7976 x^{5} - 23032 x^{4} + 27464 x^{3} - 19144 x^{2} + 7592 x - 1352$ $2^{33}\cdot 3^{19}\cdot 7^{17}$ $S_3\times F_7$ (as 21T15) $[3]$ $353864063.8162742$
21.3.176...447.1 $x^{21} + 7 x^{19} - 3 x^{18} - 3 x^{17} - 16 x^{16} - 353 x^{15} - 213 x^{14} - 420 x^{13} - 916 x^{12} + 2308 x^{11} + 2660 x^{10} + 1560 x^{9} + 6188 x^{8} - 3301 x^{7} - 10148 x^{6} - 6715 x^{5} + 1703 x^{4} + 9951 x^{3} + 12672 x^{2} + 11237 x + 7785$ $-\,7^{17}\cdot 31^{14}$ $C_3\times F_7$ (as 21T9) $[3]$ $6975844064.607592$
21.3.240...512.1 $x^{21} - 7 x^{20} + 27 x^{19} - 19 x^{18} - 185 x^{17} + 661 x^{16} + 75 x^{15} - 4907 x^{14} + 5248 x^{13} + 17006 x^{12} - 24814 x^{11} - 42058 x^{10} + 51928 x^{9} + 130100 x^{8} - 180216 x^{7} - 69004 x^{6} + 106640 x^{5} + 97712 x^{4} - 82628 x^{3} - 16944 x^{2} + 21492 x + 2484$ $-\,2^{18}\cdot 7^{17}\cdot 13^{14}$ $C_3\times F_7$ (as 21T9) $[3]$ $5499663708.5292225$
21.3.240...512.2 $x^{21} - 7 x^{20} + 23 x^{19} - 59 x^{18} + 159 x^{17} - 439 x^{16} + 1181 x^{15} - 2881 x^{14} + 6088 x^{13} - 11638 x^{12} + 20752 x^{11} - 35784 x^{10} + 61024 x^{9} - 90396 x^{8} + 95820 x^{7} - 47992 x^{6} - 56240 x^{5} + 172576 x^{4} - 215232 x^{3} + 149248 x^{2} - 53248 x + 5888$ $-\,2^{18}\cdot 7^{17}\cdot 13^{14}$ $C_3\times F_7$ (as 21T9) $[3]$ $5199297416.013432$
21.1.297...000.1 $x^{21} + 21 x^{19} - 2 x^{18} + 209 x^{17} - 26 x^{16} + 1081 x^{15} - 450 x^{14} + 2345 x^{13} - 2990 x^{12} - 107 x^{11} - 5360 x^{10} - 1817 x^{9} + 13424 x^{8} + 28897 x^{7} + 59776 x^{6} + 72068 x^{5} + 63024 x^{4} + 32992 x^{3} + 7616 x^{2} + 576 x + 64$ $2^{26}\cdot 5^{19}\cdot 7^{17}$ $S_3\times F_7$ (as 21T15) $[3]$ $2812507698.960895$
21.7.887...816.1 $x^{21} - 4 x^{20} - 12 x^{19} + 58 x^{18} + 74 x^{17} - 382 x^{16} - 686 x^{15} + 4800 x^{14} - 12932 x^{13} + 28358 x^{12} - 26452 x^{11} - 81018 x^{10} + 310564 x^{9} - 409604 x^{8} + 110816 x^{7} + 349094 x^{6} - 498694 x^{5} + 323368 x^{4} - 122288 x^{3} + 28698 x^{2} - 4026 x + 266$ $-\,2^{20}\cdot 7^{12}\cdot 11^{19}$ $C_{21}:C_6$ (as 21T11) $[2]$ $16693350374.1$
21.3.209...623.1 $x^{21} - 9 x^{20} + 41 x^{19} - 132 x^{18} + 322 x^{17} - 791 x^{16} + 1785 x^{15} - 3220 x^{14} + 3122 x^{13} - 2044 x^{12} + 2989 x^{11} - 13769 x^{10} + 24304 x^{9} - 14945 x^{8} + 6321 x^{7} + 1372 x^{6} - 4802 x^{5} - 1029 x^{4} + 8232 x^{3} - 2401 x^{2} - 1029 x + 343$ $-\,7^{17}\cdot 37^{14}$ $C_3\times F_7$ (as 21T9) $[3]$ $3649149592.701335$
21.3.366...608.1 $x^{21} - 7 x^{19} - 42 x^{18} + 21 x^{17} + 364 x^{16} + 749 x^{15} - 454 x^{14} - 4781 x^{13} - 9016 x^{12} - 1813 x^{11} + 8106 x^{10} + 2471 x^{9} - 39956 x^{8} + 12367 x^{7} + 34118 x^{6} - 37072 x^{5} - 7392 x^{4} + 11424 x^{3} + 448 x^{2} - 1792 x - 512$ $-\,2^{36}\cdot 7^{23}\cdot 11^{7}$ $C_7^2:D_6$ (as 21T23) $[3]$ $2390509249850$
21.1.421...173.1 $x^{21} - 12 x^{18} + 134 x^{15} + 2141 x^{12} - 33744 x^{9} - 2154274 x^{6} + 120436778 x^{3} - 648178003$ $3^{7}\cdot 11^{4}\cdot 71^{9}\cdot 307^{2}\cdot 17449^{2}$ $C_3^7:D_{14}$ (as 21T93) $[3]$ $4113768092.09$
21.3.480...888.1 $x^{21} - 6 x^{20} + 15 x^{19} - 3 x^{18} - 133 x^{17} + 654 x^{16} - 2750 x^{15} + 9443 x^{14} - 34592 x^{13} + 81835 x^{12} - 184277 x^{11} + 213539 x^{10} - 240634 x^{9} + 96634 x^{8} - 188877 x^{7} + 1267726 x^{6} - 1028354 x^{5} + 3056781 x^{4} + 1234612 x^{3} + 1069285 x^{2} + 84875 x + 20279$ $-\,2^{18}\cdot 7^{17}\cdot 31^{12}$ $C_3\times F_7$ (as 21T9) $[7]$ $4850808976.045462$
21.3.487...768.1 $x^{21} - 2 x^{20} + 3 x^{19} + 28 x^{18} - 103 x^{17} + 158 x^{16} + 231 x^{15} - 2386 x^{14} + 4533 x^{13} + 2060 x^{12} - 26199 x^{11} + 48058 x^{10} + 15699 x^{9} - 114172 x^{8} + 99573 x^{7} - 91574 x^{6} - 382958 x^{5} + 518290 x^{4} + 2159304 x^{3} - 2056094 x^{2} - 3898716 x + 3849502$ $-\,2^{18}\cdot 7^{17}\cdot 19^{14}$ $C_3\times F_7$ (as 21T9) $[3]$ $179627315671.82587$
21.3.180...383.1 $x^{21} - 7 x^{20} + 7 x^{19} + 14 x^{18} + 266 x^{17} - 1561 x^{16} + 3899 x^{15} - 11972 x^{14} + 42035 x^{13} - 95592 x^{12} + 168574 x^{11} - 218029 x^{10} - 329616 x^{9} + 2870644 x^{8} - 7760404 x^{7} + 13276683 x^{6} - 18743956 x^{5} + 19455380 x^{4} - 7473634 x^{3} - 2594830 x^{2} + 3937990 x - 1762571$ $-\,7^{23}\cdot 37^{12}$ $C_3\times F_7$ (as 21T9) $[7]$ $7061838431.420877$
21.3.354...447.1 $x^{21} - x^{20} - 10 x^{19} + 26 x^{18} - 175 x^{17} + 893 x^{16} - 2535 x^{15} + 4105 x^{14} - 5396 x^{13} + 15522 x^{12} - 38866 x^{11} + 99374 x^{10} - 196980 x^{9} + 167386 x^{8} - 522437 x^{7} + 1728873 x^{6} - 1333540 x^{5} - 718864 x^{4} - 722371 x^{3} + 4119359 x^{2} - 3755923 x + 1239967$ $-\,3^{18}\cdot 7^{17}\cdot 13^{14}$ $C_3\times F_7$ (as 21T9) $[3]$ $232645565732.53918$
21.3.354...447.2 $x^{21} - 4 x^{20} - 13 x^{19} + 92 x^{18} - 100 x^{17} - 685 x^{16} + 3114 x^{15} - 6722 x^{14} + 11287 x^{13} - 27129 x^{12} + 85460 x^{11} - 229903 x^{10} + 486885 x^{9} - 823628 x^{8} + 1106479 x^{7} - 1124295 x^{6} + 783536 x^{5} - 296659 x^{4} - 6943 x^{3} + 57281 x^{2} - 20482 x + 2527$ $-\,3^{18}\cdot 7^{17}\cdot 13^{14}$ $C_3\times F_7$ (as 21T9) $[3]$ $94137132744.11961$
21.1.461...421.1 $x^{21} + 4 x - 1$ $9011\cdot 15319\cdot 197364859\cdot 16927253439956600727491$ $S_{21}$ (as 21T164) $[2]$ $157512233550$
21.3.942...232.2 $x^{21} - 286 x^{14} - 800 x^{7} + 16384$ $-\,2^{18}\cdot 7^{15}\cdot 31^{14}$ $C_3\times F_7$ (as 21T9) $[7]$ $112587080074.13715$
21.7.109...648.1 $x^{21} - 37 x^{19} - 7 x^{18} + 631 x^{17} - 160 x^{16} - 7660 x^{15} + 5137 x^{14} + 56640 x^{13} - 76851 x^{12} - 243751 x^{11} + 479095 x^{10} + 411482 x^{9} - 1347008 x^{8} + 92559 x^{7} + 992616 x^{6} - 416686 x^{5} + 955747 x^{4} + 870892 x^{3} - 1275931 x^{2} - 1256035 x - 284261$ $-\,2^{18}\cdot 7^{12}\cdot 23^{7}\cdot 211^{6}$ $C_7\wr S_3$ (as 21T32) $[7]$ $34482408278.3$
21.1.409...453.1 $x^{21} - 178 x^{18} + 13541 x^{15} - 570499 x^{12} + 14371045 x^{9} - 216346630 x^{6} + 1801246220 x^{3} - 6393730193$ $3^{7}\cdot 71^{9}\cdot 599^{2}\cdot 10674007^{2}$ $C_3^7:D_{14}$ (as 21T93) $[3]$ $43419674955.7$
21.21.453...264.1 $x^{21} - 90 x^{19} - 54 x^{18} + 3180 x^{17} + 3024 x^{16} - 58772 x^{15} - 67734 x^{14} + 629568 x^{13} + 784368 x^{12} - 4069848 x^{11} - 5110992 x^{10} + 15949576 x^{9} + 19347408 x^{8} - 36320292 x^{7} - 42371712 x^{6} + 42009624 x^{5} + 50881608 x^{4} - 15240528 x^{3} - 26180496 x^{2} - 5843664 x - 190728$ $2^{18}\cdot 3^{28}\cdot 31^{14}$ $C_7:C_3$ (as 21T2) $[3]$ $65890265440600$
21.3.503...823.1 $x^{21} - 33 x^{14} + 215 x^{7} + 1$ $-\,7^{21}\cdot 37^{14}$ $C_3\times F_7$ (as 21T9) $[7]$ $99644291065.08342$
21.3.503...823.2 $x^{21} - 44 x^{14} - 181 x^{7} + 1$ $-\,7^{21}\cdot 37^{14}$ $C_3\times F_7$ (as 21T9) $[7]$ $42014912529.64383$
21.3.609...656.1 $x^{21} - 7 x^{20} - 7 x^{19} + 175 x^{18} - 301 x^{17} - 1659 x^{16} + 7147 x^{15} - 2403 x^{14} - 36253 x^{13} + 42441 x^{12} + 180299 x^{11} - 484547 x^{10} - 15883 x^{9} + 1455531 x^{8} - 1731731 x^{7} - 623189 x^{6} + 3164084 x^{5} - 2658810 x^{4} - 245532 x^{3} + 1776908 x^{2} - 1293152 x + 262088$ $-\,2^{33}\cdot 7^{23}\cdot 11^{10}$ $C_7^2:D_6$ (as 21T23) $[3]$ $51859841553800$
21.7.127...944.1 $x^{21} - 3 x^{20} + x^{19} - 42 x^{18} - 157 x^{17} + 310 x^{16} + 5798 x^{15} - 3709 x^{14} - 92464 x^{13} + 474108 x^{12} - 2368117 x^{11} + 9006061 x^{10} - 20442035 x^{9} + 24167098 x^{8} + 18849199 x^{7} - 129416738 x^{6} + 120608306 x^{5} + 151200437 x^{4} - 174966569 x^{3} - 172336121 x^{2} + 129418146 x + 31235087$ $-\,2^{18}\cdot 29^{6}\cdot 31^{7}\cdot 379^{6}$ $C_7\wr S_3$ (as 21T32) $[7]$ $105149816421$
21.21.131...944.1 $x^{21} - x^{20} - 85 x^{19} - 44 x^{18} + 2809 x^{17} + 5152 x^{16} - 41166 x^{15} - 131957 x^{14} + 189850 x^{13} + 1279532 x^{12} + 1063163 x^{11} - 3442335 x^{10} - 8884217 x^{9} - 7903686 x^{8} - 1827259 x^{7} + 1604980 x^{6} + 1042524 x^{5} + 68775 x^{4} - 81417 x^{3} - 15141 x^{2} + 1372 x + 343$ $2^{18}\cdot 7^{14}\cdot 43^{14}$ $C_7:C_3$ (as 21T2) $[3]$ $18989130461400$
21.3.149...339.1 $x^{21} - 3 x^{20} - 5 x^{19} - 43 x^{18} + 287 x^{17} - 286 x^{16} + 309 x^{15} - 5832 x^{14} + 14849 x^{13} + 23772 x^{12} - 100540 x^{11} + 251238 x^{10} - 954894 x^{9} - 83566 x^{8} + 3314973 x^{7} + 1174509 x^{6} + 5584313 x^{5} - 34579327 x^{4} - 21371158 x^{3} + 98029199 x^{2} + 27253836 x - 127427549$ $-\,7^{3}\cdot 13^{7}\cdot 109^{6}\cdot 644179747^{2}$ $C_3^7.C_2^4:\GL(3,2)$ (as 21T136) $[3]$ $136979558927$
21.7.310...000.1 $x^{21} - 63 x^{19} - 84 x^{18} + 1512 x^{17} + 3850 x^{16} - 15029 x^{15} - 63668 x^{14} + 19355 x^{13} + 408198 x^{12} + 542696 x^{11} - 448728 x^{10} - 1801933 x^{9} - 2364768 x^{8} - 3841877 x^{7} - 7427812 x^{6} - 9136848 x^{5} - 5209666 x^{4} + 684425 x^{3} + 2417492 x^{2} + 819441 x - 32894$ $-\,2^{20}\cdot 5^{7}\cdot 7^{35}$ $C_7^2:D_6$ (as 21T23) $[3]$ $84536711969500$
21.5.378...336.1 $x^{21} - 9 x^{20} + x^{19} + 247 x^{18} - 1128 x^{17} + 1844 x^{16} + 1538 x^{15} - 10782 x^{14} + 6884 x^{13} + 36114 x^{12} - 29952 x^{11} - 179184 x^{10} + 356326 x^{9} + 190336 x^{8} - 1475463 x^{7} + 2097737 x^{6} - 1307021 x^{5} + 514117 x^{4} - 539862 x^{3} + 463496 x^{2} - 103930 x - 22322$ $2^{24}\cdot 11^{18}\cdot 67^{8}$ $\PSL(3,4)$ (as 21T67) $[3]$ $10194481907400$
21.5.378...336.2 $x^{21} - 4 x^{20} - 34 x^{19} + 250 x^{18} + 49 x^{17} - 4806 x^{16} + 10924 x^{15} + 35134 x^{14} - 181415 x^{13} + 42258 x^{12} + 1174704 x^{11} - 2046920 x^{10} - 2612752 x^{9} + 11070150 x^{8} - 4343266 x^{7} - 21914184 x^{6} + 22487749 x^{5} + 21732094 x^{4} - 35335382 x^{3} - 9878676 x^{2} + 29752822 x - 9397944$ $2^{24}\cdot 11^{18}\cdot 67^{8}$ $\PSL(3,4)$ (as 21T67) $[3]$ $10194481907400$
21.21.562...216.1 $x^{21} - 105 x^{19} - 119 x^{18} + 4599 x^{17} + 10290 x^{16} - 103334 x^{15} - 360885 x^{14} + 1118670 x^{13} + 6432475 x^{12} - 1703289 x^{11} - 58140705 x^{10} - 81978176 x^{9} + 197166396 x^{8} + 700361361 x^{7} + 439003348 x^{6} - 1276860228 x^{5} - 3090183579 x^{4} - 3073057932 x^{3} - 1588530069 x^{2} - 391156857 x - 28779219$ $2^{18}\cdot 3^{28}\cdot 7^{26}$ $C_7:C_3$ (as 21T2) $[3]$ $218203272125000$
21.1.606...000.1 $x^{21} + 63 x^{19} - 56 x^{18} + 1610 x^{17} - 2520 x^{16} + 23121 x^{15} - 46272 x^{14} + 210994 x^{13} - 459704 x^{12} + 1276149 x^{11} - 2623516 x^{10} + 5090785 x^{9} - 8563100 x^{8} + 12268682 x^{7} - 15308580 x^{6} + 15211588 x^{5} - 11151728 x^{4} + 5522776 x^{3} - 1800400 x^{2} + 419328 x - 65792$ $2^{14}\cdot 5^{10}\cdot 7^{35}$ $C_7^2:D_6$ (as 21T23) $[3]$ $16696091809800$
21.3.720...983.1 $x^{21} - 7 x^{20} - 10 x^{19} + 149 x^{18} + 8 x^{17} - 1375 x^{16} + 513 x^{15} + 1633 x^{14} + 27157 x^{13} - 52788 x^{12} - 327079 x^{11} + 1254566 x^{10} + 736266 x^{9} - 9563747 x^{8} + 12752578 x^{7} + 5924631 x^{6} - 8676262 x^{5} - 34239268 x^{4} + 23180423 x^{3} + 11077409 x^{2} + 29642690 x - 10983749$ $-\,3^{18}\cdot 7^{17}\cdot 19^{14}$ $C_3\times F_7$ (as 21T9) $[3]$ $1924259099008.9683$
21.3.726...103.1 $x^{21} - 49 x^{19} - 56 x^{18} + 1064 x^{17} + 1316 x^{16} - 12495 x^{15} - 12341 x^{14} + 85841 x^{13} + 58345 x^{12} - 342727 x^{11} - 228592 x^{10} + 1066198 x^{9} + 497315 x^{8} - 3062829 x^{7} + 1119783 x^{6} + 3761548 x^{5} - 11302837 x^{4} + 26320364 x^{3} - 39387474 x^{2} + 30179884 x - 8870771$ $-\,7^{23}\cdot 61^{12}$ $C_3\times F_7$ (as 21T9) $[7]$ $411196446891.7465$
21.1.227...841.1 $x^{21} - 3 x^{20} + 43 x^{19} - 22 x^{18} + 643 x^{17} - 168 x^{16} + 9322 x^{15} - 4975 x^{14} + 22402 x^{13} - 76493 x^{12} + 369038 x^{11} - 673269 x^{10} - 1084871 x^{9} - 7262324 x^{8} + 1057380 x^{7} - 59828972 x^{6} + 80384535 x^{5} + 506225172 x^{4} + 410279552 x^{3} - 1834135886 x^{2} - 1809587593 x - 800223271$ $11^{2}\cdot 13^{2}\cdot 71^{10}\cdot 1850356597^{2}$ $C_3^7:(C_2^6:D_7)$ (as 21T124) $[3]$ $337544332546$
21.3.238...248.1 $x^{21} - 7 x^{20} + 21 x^{19} - 56 x^{18} - 231 x^{17} + 1848 x^{16} - 3178 x^{15} - 27413 x^{14} + 142002 x^{13} - 208852 x^{12} - 644343 x^{11} + 3682245 x^{10} - 5820647 x^{9} - 13998796 x^{8} + 97364769 x^{7} - 194430502 x^{6} - 84007084 x^{5} + 1129982133 x^{4} - 1931477415 x^{3} + 601884871 x^{2} + 1627471104 x - 1572620881$ $-\,2^{18}\cdot 3^{24}\cdot 7^{29}$ $C_3\times F_7$ (as 21T9) $[2]$ $1093642103456.6539$
21.3.241...744.1 $x^{21} - 24 x^{19} - 34 x^{18} + 9 x^{17} + 480 x^{16} + 2410 x^{15} + 2646 x^{14} - 453 x^{13} - 31052 x^{12} + 16326 x^{11} - 187728 x^{10} - 267343 x^{9} + 719244 x^{8} - 6331761 x^{7} - 8237756 x^{6} - 12927024 x^{5} - 9316032 x^{4} - 7774096 x^{3} - 4321152 x^{2} - 1440384 x - 480128$ $-\,2^{14}\cdot 3^{28}\cdot 11^{4}\cdot 31^{2}\cdot 71^{9}$ $C_3^7:(C_2^6:D_7)$ (as 21T122) $[3]$ $870032205949$
21.1.255...944.1 $x^{21} + 6 x - 2$ $2^{20}\cdot 3^{21}\cdot 23\cdot 21227\cdot 137443\cdot 347254848874441$ $S_{21}$ (as 21T164) $[2]$ $2420524401520$
21.21.781...736.1 $x^{21} - 7 x^{20} - 85 x^{19} + 600 x^{18} + 2969 x^{17} - 20148 x^{16} - 58666 x^{15} + 340921 x^{14} + 762604 x^{13} - 3106176 x^{12} - 6541447 x^{11} + 14463151 x^{10} + 32672825 x^{9} - 27520996 x^{8} - 75363341 x^{7} + 12806508 x^{6} + 63845912 x^{5} - 2336541 x^{4} - 19620833 x^{3} + 1847525 x^{2} + 1883508 x - 325961$ $2^{18}\cdot 13^{14}\cdot 31^{14}$ $C_7:C_3$ (as 21T2) $[3]$ $107348023084000$
21.3.109...227.1 $x^{21} - 182 x^{18} + 14184 x^{15} - 613561 x^{12} + 15908935 x^{9} - 247237787 x^{6} + 2132151614 x^{3} - 7870564153$ $-\,3^{7}\cdot 13^{6}\cdot 109^{6}\cdot 277^{2}\cdot 907^{2}\cdot 31327^{2}$ $C_3^6.(S_3\times \GL(3,2))$ (as 21T118) $[3]$ $1095937480380$
21.3.166...843.1 $x^{21} - 187 x^{18} + 14987 x^{15} - 667285 x^{12} + 17825502 x^{9} - 285687336 x^{6} + 2543424776 x^{3} - 9702940159$ $-\,3^{7}\cdot 11^{2}\cdot 13^{6}\cdot 19^{2}\cdot 71^{2}\cdot 109^{6}\cdot 653881^{2}$ $C_3^6.(S_3\times \GL(3,2))$ (as 21T118) $[3, 3]$ $397832183335$
21.1.241...109.1 $x^{21} - 7 x - 7$ $7^{21}\cdot 23\cdot 9910909\cdot 18944120791806241$ $S_{21}$ (as 21T164) $[3]$ $2076330003390$
21.3.257...523.1 $x^{21} - 8 x^{20} - 76 x^{19} + 884 x^{18} + 1041 x^{17} - 38604 x^{16} + 74646 x^{15} + 796788 x^{14} - 3559335 x^{13} - 5594078 x^{12} + 65454625 x^{11} - 75134674 x^{10} - 526445392 x^{9} + 1767437868 x^{8} + 294495843 x^{7} - 11518426413 x^{6} + 21096865710 x^{5} + 6876151449 x^{4} - 81727980749 x^{3} + 134917517464 x^{2} - 101919304966 x + 31099656773$ $-\,3^{25}\cdot 13^{2}\cdot 73^{6}\cdot 3529^{2}\cdot 97609^{2}$ $C_3^6.(S_3\times A_7)$ (as 21T140) $[3]$ $4079341007060$
21.21.444...209.1 $x^{21} - 6 x^{20} - 45 x^{19} + 304 x^{18} + 681 x^{17} - 5892 x^{16} - 2835 x^{15} + 55011 x^{14} - 24204 x^{13} - 253860 x^{12} + 274332 x^{11} + 500406 x^{10} - 903062 x^{9} - 112956 x^{8} + 1002705 x^{7} - 558462 x^{6} - 98895 x^{5} + 163020 x^{4} - 32917 x^{3} - 5658 x^{2} + 2316 x - 173$ $3^{32}\cdot 547^{10}$ $A_7$ (as 21T33) $[2]$ $406277532862000$
21.3.551...087.1 $x^{21} - 963 x^{14} + 1439 x^{7} + 2187$ $-\,7^{21}\cdot 61^{14}$ $C_3\times F_7$ (as 21T9) $[7]$ $10727668787288.92$
21.3.551...087.2 $x^{21} - 1572 x^{14} - 4591 x^{7} - 2187$ $-\,7^{21}\cdot 61^{14}$ $C_3\times F_7$ (as 21T9) $[7]$ $5839971039325.506$
21.3.565...312.2 $x^{21} - 7 x^{20} + 21 x^{19} - 189 x^{17} + 1918 x^{16} - 10836 x^{15} + 62575 x^{14} - 304864 x^{13} + 1244824 x^{12} - 3619357 x^{11} + 9485889 x^{10} - 18483801 x^{9} + 25086950 x^{8} - 36217063 x^{7} + 68613020 x^{6} - 137345166 x^{5} + 205824787 x^{4} - 200503107 x^{3} + 147713909 x^{2} - 63452970 x - 4964821$ $-\,2^{18}\cdot 7^{23}\cdot 31^{12}$ $C_3\times F_7$ (as 21T9) $[7]$ $1593957482993.345$
21.3.565...312.4 $x^{21} - 7 x^{20} + 21 x^{19} - 14 x^{18} + 105 x^{17} - 2842 x^{16} + 3570 x^{15} - 19209 x^{14} - 128800 x^{13} - 288582 x^{12} + 2646315 x^{11} + 3147655 x^{10} + 5084611 x^{9} + 4579246 x^{8} - 21784219 x^{7} - 33591096 x^{6} + 39947810 x^{5} + 29758239 x^{4} - 27934207 x^{3} - 4911165 x^{2} + 2417100 x + 1629125$ $-\,2^{18}\cdot 7^{23}\cdot 31^{12}$ $C_3\times F_7$ (as 21T9) $[7]$ $1429982625781.575$
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