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Label Polynomial Discriminant Galois group Class group Regulator
21.21.319...896.1 $x^{21} - 7 x^{20} - 13 x^{19} + 208 x^{18} - 267 x^{17} - 1890 x^{16} + 5310 x^{15} + 4781 x^{14} - 31996 x^{13} + 16294 x^{12} + 77939 x^{11} - 103109 x^{10} - 52599 x^{9} + 164304 x^{8} - 52267 x^{7} - 74030 x^{6} + 58226 x^{5} - 9947 x^{4} - 1399 x^{3} + 399 x^{2} - 10 x - 1$ $2^{18}\cdot 73^{14}$ $C_7:C_3$ (as 21T2) trivial $802783691.084$
21.21.941...237.1 $x^{21} - 31 x^{19} - 3 x^{18} + 362 x^{17} + 32 x^{16} - 2119 x^{15} - 158 x^{14} + 6826 x^{13} + 676 x^{12} - 12509 x^{11} - 2021 x^{10} + 12809 x^{9} + 3175 x^{8} - 6710 x^{7} - 2254 x^{6} + 1442 x^{5} + 571 x^{4} - 97 x^{3} - 44 x^{2} + 2 x + 1$ $7^{14}\cdot 173^{9}$ $F_7$ (as 21T4) trivial $1629233271.9$
21.21.129...449.1 $x^{21} - 21 x^{19} + 189 x^{17} - 952 x^{15} - x^{14} + 2940 x^{13} + 14 x^{12} - 5733 x^{11} - 77 x^{10} + 7007 x^{9} + 210 x^{8} - 5147 x^{7} - 294 x^{6} + 2072 x^{5} + 196 x^{4} - 371 x^{3} - 49 x^{2} + 14 x + 1$ $7^{38}$ $C_{21}$ (as 21T1) trivial $1694541833.65$
21.21.289...944.1 $x^{21} - 7 x^{20} - 21 x^{19} + 238 x^{18} - 245 x^{17} - 1848 x^{16} + 4732 x^{15} + 1861 x^{14} - 18536 x^{13} + 16856 x^{12} + 14819 x^{11} - 32431 x^{10} + 8897 x^{9} + 16660 x^{8} - 13533 x^{7} + 392 x^{6} + 3514 x^{5} - 1547 x^{4} + 161 x^{3} + 49 x^{2} - 14 x + 1$ $2^{18}\cdot 7^{32}$ $C_7:C_3$ (as 21T2) trivial $3144548714.36$
21.21.467...001.1 $x^{21} - x^{20} - 20 x^{19} + 19 x^{18} + 171 x^{17} - 153 x^{16} - 816 x^{15} + 680 x^{14} + 2380 x^{13} - 1820 x^{12} - 4368 x^{11} + 3003 x^{10} + 5005 x^{9} - 3003 x^{8} - 3432 x^{7} + 1716 x^{6} + 1287 x^{5} - 495 x^{4} - 220 x^{3} + 55 x^{2} + 11 x - 1$ $43^{20}$ $C_{21}$ (as 21T1) trivial $2620717953.48$
21.21.240...312.1 $x^{21} - 2 x^{20} - 32 x^{19} + 51 x^{18} + 432 x^{17} - 473 x^{16} - 3214 x^{15} + 1767 x^{14} + 14108 x^{13} - 305 x^{12} - 35382 x^{11} - 15763 x^{10} + 43350 x^{9} + 37753 x^{8} - 14531 x^{7} - 24311 x^{6} - 2788 x^{5} + 4492 x^{4} + 1052 x^{3} - 276 x^{2} - 56 x + 8$ $2^{27}\cdot 7^{14}\cdot 31^{9}$ $F_7$ (as 21T4) trivial $12111978767.0$
21.21.402...809.1 $x^{21} - 36 x^{19} - 30 x^{18} + 450 x^{17} + 603 x^{16} - 2529 x^{15} - 4401 x^{14} + 6687 x^{13} + 14828 x^{12} - 7965 x^{11} - 25767 x^{10} + 2313 x^{9} + 23868 x^{8} + 3222 x^{7} - 11469 x^{6} - 2763 x^{5} + 2628 x^{4} + 692 x^{3} - 243 x^{2} - 45 x + 9$ $3^{36}\cdot 547^{6}$ $C_3\times A_7$ (as 21T44) trivial $15121990516.5$
21.21.553...993.1 $x^{21} - x^{20} - 32 x^{19} + 27 x^{18} + 371 x^{17} - 273 x^{16} - 2035 x^{15} + 1336 x^{14} + 5767 x^{13} - 3508 x^{12} - 8825 x^{11} + 4990 x^{10} + 7522 x^{9} - 3911 x^{8} - 3561 x^{7} + 1665 x^{6} + 894 x^{5} - 359 x^{4} - 106 x^{3} + 34 x^{2} + 4 x - 1$ $7^{14}\cdot 71^{3}\cdot 283583^{3}$ $C_3\times S_7$ (as 21T56) trivial $13234470682.2$
21.21.108...857.1 $x^{21} - 2 x^{20} - 33 x^{19} + 54 x^{18} + 423 x^{17} - 578 x^{16} - 2679 x^{15} + 3163 x^{14} + 8911 x^{13} - 9346 x^{12} - 15389 x^{11} + 14554 x^{10} + 13283 x^{9} - 11462 x^{8} - 5756 x^{7} + 4570 x^{6} + 1193 x^{5} - 870 x^{4} - 105 x^{3} + 64 x^{2} + 4 x - 1$ $3^{3}\cdot 7^{14}\cdot 8388019^{3}$ $C_3\times S_7$ (as 21T56) trivial $16439548502.9$
21.21.504...024.1 $x^{21} - 3 x^{20} - 35 x^{19} + 103 x^{18} + 465 x^{17} - 1353 x^{16} - 2985 x^{15} + 8673 x^{14} + 9901 x^{13} - 29145 x^{12} - 17071 x^{11} + 52175 x^{10} + 14997 x^{9} - 49437 x^{8} - 6223 x^{7} + 23447 x^{6} + 1118 x^{5} - 4872 x^{4} - 114 x^{3} + 334 x^{2} - 6 x - 2$ $2^{38}\cdot 809^{8}$ $\PSL(2,7)$ (as 21T14) trivial $232658701418$
21.21.539...056.1 $x^{21} - 3 x^{20} - 30 x^{19} + 86 x^{18} + 349 x^{17} - 953 x^{16} - 2026 x^{15} + 5248 x^{14} + 6380 x^{13} - 15522 x^{12} - 11326 x^{11} + 25300 x^{10} + 11568 x^{9} - 22602 x^{8} - 6770 x^{7} + 10604 x^{6} + 2191 x^{5} - 2351 x^{4} - 352 x^{3} + 194 x^{2} + 23 x - 1$ $2^{18}\cdot 728809^{5}$ $S_7$ (as 21T38) trivial $47133176363.7$
21.21.838...816.1 $x^{21} - 7 x^{20} - 17 x^{19} + 210 x^{18} - 16 x^{17} - 2663 x^{16} + 2439 x^{15} + 18749 x^{14} - 25099 x^{13} - 80928 x^{12} + 128445 x^{11} + 222874 x^{10} - 385353 x^{9} - 394086 x^{8} + 698150 x^{7} + 436857 x^{6} - 736448 x^{5} - 284524 x^{4} + 401643 x^{3} + 95619 x^{2} - 81870 x - 14407$ $2^{30}\cdot 809^{6}\cdot 16693^{2}$ $C_3^7.\GL(3,2)$ (as 21T115) trivial $57142668417.3$
21.21.840...873.1 $x^{21} - 8 x^{20} + 8 x^{19} + 94 x^{18} - 269 x^{17} - 195 x^{16} + 1577 x^{15} - 1066 x^{14} - 3297 x^{13} + 4973 x^{12} + 1604 x^{11} - 7061 x^{10} + 2541 x^{9} + 3722 x^{8} - 3133 x^{7} - 183 x^{6} + 1045 x^{5} - 344 x^{4} - 56 x^{3} + 58 x^{2} - 13 x + 1$ $71^{3}\cdot 109^{2}\cdot 29437^{2}\cdot 283583^{3}$ $C_3^7.S_7$ (as 21T139) trivial $54641615186.6$
21.21.866...889.1 $x^{21} - 6 x^{20} - 33 x^{19} + 233 x^{18} + 329 x^{17} - 3262 x^{16} - 1293 x^{15} + 23199 x^{14} + 2230 x^{13} - 94736 x^{12} - 9112 x^{11} + 230162 x^{10} + 58671 x^{9} - 317626 x^{8} - 158283 x^{7} + 200827 x^{6} + 166516 x^{5} - 10000 x^{4} - 42256 x^{3} - 13584 x^{2} - 1600 x - 64$ $313^{14}$ $C_7:C_3$ (as 21T2) trivial $97964797589.8$
21.21.123...257.1 $x^{21} - 6 x^{20} - 6 x^{19} + 102 x^{18} - 113 x^{17} - 557 x^{16} + 1235 x^{15} + 876 x^{14} - 4391 x^{13} + 1595 x^{12} + 6346 x^{11} - 6325 x^{10} - 2479 x^{9} + 6202 x^{8} - 1793 x^{7} - 1829 x^{6} + 1407 x^{5} - 158 x^{4} - 178 x^{3} + 84 x^{2} - 15 x + 1$ $71^{3}\cdot 283583^{3}\cdot 3892951^{2}$ $C_3^7.S_7$ (as 21T139) trivial $50400436611.9$
21.21.354...944.1 $x^{21} - 2 x^{20} - 43 x^{19} + 68 x^{18} + 733 x^{17} - 988 x^{16} - 6395 x^{15} + 8040 x^{14} + 30708 x^{13} - 39018 x^{12} - 79894 x^{11} + 110250 x^{10} + 98768 x^{9} - 165588 x^{8} - 29458 x^{7} + 106634 x^{6} - 26074 x^{5} - 14068 x^{4} + 6574 x^{3} - 756 x^{2} - 8 x + 4$ $2^{22}\cdot 4129^{8}$ $\PSL(2,7)$ (as 21T14) trivial $646551468945$
21.21.656...521.1 $x^{21} - 7 x^{20} - 42 x^{19} + 476 x^{18} - 630 x^{17} - 6384 x^{16} + 26810 x^{15} - 16603 x^{14} - 134918 x^{13} + 424998 x^{12} - 570745 x^{11} + 331016 x^{10} + 63070 x^{9} - 212492 x^{8} + 109569 x^{7} - 1302 x^{6} - 18788 x^{5} + 6559 x^{4} - 462 x^{3} - 154 x^{2} + 28 x - 1$ $7^{32}\cdot 29^{6}$ $C_7\wr C_3$ (as 21T28) trivial $170660357100$
21.21.988...136.1 $x^{21} - 7 x^{20} - 45 x^{19} + 362 x^{18} + 799 x^{17} - 7508 x^{16} - 7656 x^{15} + 79875 x^{14} + 49998 x^{13} - 459906 x^{12} - 252543 x^{11} + 1367403 x^{10} + 782753 x^{9} - 1809622 x^{8} - 897807 x^{7} + 1116746 x^{6} + 430780 x^{5} - 303555 x^{4} - 87913 x^{3} + 25235 x^{2} + 7546 x + 343$ $2^{18}\cdot 7^{14}\cdot 11^{18}$ $C_7:C_3$ (as 21T2) trivial $452833489306$
21.21.322...576.1 $x^{21} - 7 x^{20} - 23 x^{19} + 222 x^{18} + 211 x^{17} - 3052 x^{16} - 1066 x^{15} + 23585 x^{14} + 4211 x^{13} - 111319 x^{12} - 18090 x^{11} + 327519 x^{10} + 67407 x^{9} - 587331 x^{8} - 157934 x^{7} + 593915 x^{6} + 197792 x^{5} - 276738 x^{4} - 106383 x^{3} + 26935 x^{2} + 9946 x - 113$ $2^{18}\cdot 7^{14}\cdot 1621^{6}$ $C_3\times A_7$ (as 21T44) trivial $387606904916$
21.21.330...193.1 $x^{21} - 6 x^{20} - 13 x^{19} + 122 x^{18} - 9 x^{17} - 857 x^{16} + 633 x^{15} + 2723 x^{14} - 2843 x^{13} - 4388 x^{12} + 5538 x^{11} + 3675 x^{10} - 5631 x^{9} - 1441 x^{8} + 3112 x^{7} + 105 x^{6} - 903 x^{5} + 87 x^{4} + 121 x^{3} - 21 x^{2} - 5 x + 1$ $71^{5}\cdot 283583^{5}$ $S_7$ (as 21T38) trivial $324140206962$
21.21.472...224.1 $x^{21} - 3 x^{20} - 57 x^{19} + 208 x^{18} + 1017 x^{17} - 4470 x^{16} - 6390 x^{15} + 37887 x^{14} + 15282 x^{13} - 158528 x^{12} - 1233 x^{11} + 354021 x^{10} - 59437 x^{9} - 428406 x^{8} + 104895 x^{7} + 270894 x^{6} - 71394 x^{5} - 79299 x^{4} + 18503 x^{3} + 7767 x^{2} - 1188 x - 19$ $2^{18}\cdot 3^{28}\cdot 31^{12}$ $C_{21}:C_3$ (as 21T7) trivial $741765605490$
21.21.480...513.1 $x^{21} - x^{20} - 42 x^{19} + 45 x^{18} + 679 x^{17} - 739 x^{16} - 5517 x^{15} + 5869 x^{14} + 24849 x^{13} - 25116 x^{12} - 63963 x^{11} + 60287 x^{10} + 91976 x^{9} - 80247 x^{8} - 67381 x^{7} + 54968 x^{6} + 19398 x^{5} - 15878 x^{4} - 214 x^{3} + 599 x^{2} + 7 x - 1$ $7^{14}\cdot 577^{9}$ $C_3\times D_7$ (as 21T3) trivial $524399167092$
21.21.555...521.1 $x^{21} - 3 x^{20} - 36 x^{19} + 116 x^{18} + 386 x^{17} - 1470 x^{16} - 1092 x^{15} + 6907 x^{14} - 670 x^{13} - 14826 x^{12} + 7395 x^{11} + 15158 x^{10} - 11778 x^{9} - 6566 x^{8} + 7595 x^{7} + 422 x^{6} - 1956 x^{5} + 297 x^{4} + 159 x^{3} - 35 x^{2} - 4 x + 1$ $7^{14}\cdot 14197^{6}$ $C_7\wr C_3$ (as 21T28) trivial $348948085655$
21.21.710...656.1 $x^{21} - 8 x^{20} - 26 x^{19} + 362 x^{18} - 210 x^{17} - 5560 x^{16} + 10446 x^{15} + 37382 x^{14} - 105928 x^{13} - 111352 x^{12} + 494124 x^{11} + 77632 x^{10} - 1188672 x^{9} + 302096 x^{8} + 1451596 x^{7} - 663064 x^{6} - 803144 x^{5} + 470904 x^{4} + 128848 x^{3} - 105968 x^{2} + 12440 x + 104$ $2^{18}\cdot 7^{14}\cdot 43^{12}$ $C_{21}:C_3$ (as 21T7) trivial $713026797535$
21.21.126...904.1 $x^{21} - 4 x^{20} - 35 x^{19} + 143 x^{18} + 458 x^{17} - 1969 x^{16} - 2851 x^{15} + 13594 x^{14} + 8657 x^{13} - 51238 x^{12} - 10174 x^{11} + 106769 x^{10} - 4930 x^{9} - 118435 x^{8} + 19116 x^{7} + 64849 x^{6} - 11453 x^{5} - 15363 x^{4} + 1152 x^{3} + 1412 x^{2} + 107 x + 1$ $2^{14}\cdot 37^{7}\cdot 71^{3}\cdot 283583^{3}$ $S_3\times S_7$ (as 21T74) trivial $550069968134$
21.21.247...896.1 $x^{21} - x^{20} - 43 x^{19} + 38 x^{18} + 726 x^{17} - 563 x^{16} - 6224 x^{15} + 4226 x^{14} + 29487 x^{13} - 17408 x^{12} - 78852 x^{11} + 40272 x^{10} + 115576 x^{9} - 51908 x^{8} - 84389 x^{7} + 35680 x^{6} + 24314 x^{5} - 10479 x^{4} - 699 x^{3} + 279 x^{2} + 5 x - 1$ $2^{14}\cdot 3^{3}\cdot 37^{7}\cdot 8388019^{3}$ $S_3\times S_7$ (as 21T74) trivial $826747483559$
21.21.340...656.1 $x^{21} - 42 x^{19} + 756 x^{17} - 7616 x^{15} - 24 x^{14} + 47040 x^{13} + 672 x^{12} - 183456 x^{11} - 7392 x^{10} + 448448 x^{9} + 40320 x^{8} - 658480 x^{7} - 112896 x^{6} + 525728 x^{5} + 150528 x^{4} - 171136 x^{3} - 75264 x^{2} - 4480 x + 832$ $2^{18}\cdot 7^{38}$ $C_7:C_{21}$ (as 21T13) trivial $1975561117490$
21.21.340...656.2 $x^{21} - 42 x^{19} + 756 x^{17} - 7616 x^{15} - 32 x^{14} + 47040 x^{13} + 896 x^{12} - 183456 x^{11} - 9856 x^{10} + 448448 x^{9} + 53760 x^{8} - 658368 x^{7} - 150528 x^{6} + 524160 x^{5} + 200704 x^{4} - 164864 x^{3} - 100352 x^{2} - 10752 x + 512$ $2^{18}\cdot 7^{38}$ $C_7:C_{21}$ (as 21T13) trivial $1354633483050$
21.21.400...944.1 $x^{21} - 5 x^{20} - 63 x^{19} + 346 x^{18} + 1377 x^{17} - 8838 x^{16} - 12180 x^{15} + 107597 x^{14} + 26142 x^{13} - 675808 x^{12} + 238721 x^{11} + 2184149 x^{10} - 1549027 x^{9} - 3422708 x^{8} + 3271777 x^{7} + 2382104 x^{6} - 2931914 x^{5} - 581659 x^{4} + 1163183 x^{3} - 57751 x^{2} - 168018 x + 32573$ $2^{18}\cdot 199^{14}$ $C_7:C_3$ (as 21T2) trivial $1272666465930$
21.21.114...888.1 $x^{21} - 2 x^{20} - 34 x^{19} + 44 x^{18} + 440 x^{17} - 336 x^{16} - 2735 x^{15} + 1258 x^{14} + 9114 x^{13} - 2548 x^{12} - 17108 x^{11} + 2708 x^{10} + 18395 x^{9} - 1186 x^{8} - 11144 x^{7} - 160 x^{6} + 3584 x^{5} + 284 x^{4} - 539 x^{3} - 66 x^{2} + 28 x + 4$ $2^{32}\cdot 37^{7}\cdot 809^{6}$ $S_3\times \GL(3,2)$ (as 21T27) trivial $8566215956620$
21.21.114...888.2 $x^{21} - 40 x^{19} - 7 x^{18} + 520 x^{17} + 142 x^{16} - 3169 x^{15} - 1000 x^{14} + 10266 x^{13} + 3289 x^{12} - 18576 x^{11} - 5760 x^{10} + 18906 x^{9} + 5676 x^{8} - 10504 x^{7} - 3154 x^{6} + 2952 x^{5} + 888 x^{4} - 350 x^{3} - 96 x^{2} + 12 x + 2$ $2^{32}\cdot 37^{7}\cdot 809^{6}$ $S_3\times \GL(3,2)$ (as 21T27) trivial $8566215956620$
21.21.142...689.1 $x^{21} - 4 x^{20} - 46 x^{19} + 192 x^{18} + 752 x^{17} - 3392 x^{16} - 5652 x^{15} + 29504 x^{14} + 19392 x^{13} - 138787 x^{12} - 17833 x^{11} + 362514 x^{10} - 59599 x^{9} - 524134 x^{8} + 180953 x^{7} + 401883 x^{6} - 198823 x^{5} - 141878 x^{4} + 97061 x^{3} + 10664 x^{2} - 16800 x + 2843$ $7^{14}\cdot 29^{18}$ $C_{21}$ (as 21T1) trivial $2231765965710$
21.21.162...457.1 $x^{21} - 6 x^{20} - 30 x^{19} + 213 x^{18} + 306 x^{17} - 2967 x^{16} - 955 x^{15} + 21012 x^{14} - 3636 x^{13} - 82163 x^{12} + 34194 x^{11} + 179256 x^{10} - 94753 x^{9} - 207960 x^{8} + 117288 x^{7} + 111435 x^{6} - 64710 x^{5} - 15456 x^{4} + 13205 x^{3} - 2085 x^{2} + 99 x - 1$ $3^{28}\cdot 577^{9}$ $C_3\times D_7$ (as 21T3) trivial $1603475686170$
21.21.165...577.1 $x^{21} - 9 x^{20} + 14 x^{19} + 97 x^{18} - 353 x^{17} - 79 x^{16} + 1929 x^{15} - 2039 x^{14} - 3316 x^{13} + 7255 x^{12} - 293 x^{11} - 8640 x^{10} + 5511 x^{9} + 3057 x^{8} - 4428 x^{7} + 801 x^{6} + 929 x^{5} - 488 x^{4} + 17 x^{3} + 44 x^{2} - 12 x + 1$ $13^{2}\cdot 433^{2}\cdot 577^{9}\cdot 859^{2}$ $C_3^7:D_7$ (as 21T76) trivial $2094534304190$
21.21.204...216.1 $x^{21} - 2 x^{20} - 38 x^{19} + 69 x^{18} + 568 x^{17} - 933 x^{16} - 4319 x^{15} + 6417 x^{14} + 18052 x^{13} - 24428 x^{12} - 41833 x^{11} + 52044 x^{10} + 51770 x^{9} - 58979 x^{8} - 31596 x^{7} + 30977 x^{6} + 9259 x^{5} - 5733 x^{4} - 1455 x^{3} + 114 x^{2} + 17 x - 1$ $2^{30}\cdot 7^{14}\cdot 809^{6}$ $C_3\times \GL(3,2)$ (as 21T22) trivial $2811089509780$
21.21.204...216.2 $x^{21} - 40 x^{19} - 8 x^{18} + 579 x^{17} + 128 x^{16} - 4024 x^{15} - 828 x^{14} + 14642 x^{13} + 3152 x^{12} - 29068 x^{11} - 6976 x^{10} + 31979 x^{9} + 8240 x^{8} - 19278 x^{7} - 4888 x^{6} + 6120 x^{5} + 1376 x^{4} - 924 x^{3} - 168 x^{2} + 48 x + 8$ $2^{30}\cdot 7^{14}\cdot 809^{6}$ $C_3\times \GL(3,2)$ (as 21T22) trivial $2811089509780$
21.21.211...097.1 $x^{21} - 6 x^{20} - 55 x^{19} + 395 x^{18} + 737 x^{17} - 8463 x^{16} + 1551 x^{15} + 74059 x^{14} - 69748 x^{13} - 277632 x^{12} + 287628 x^{11} + 551344 x^{10} - 344830 x^{9} - 626935 x^{8} - 12040 x^{7} + 210641 x^{6} + 62865 x^{5} - 3790 x^{4} - 2084 x^{3} + 82 x^{2} + 18 x - 1$ $11^{7}\cdot 43^{19}$ $S_3\times C_7$ (as 21T6) trivial $2240296145980$
21.21.258...625.1 $x^{21} - 5 x^{20} - 14 x^{19} + 113 x^{18} - 41 x^{17} - 803 x^{16} + 1245 x^{15} + 1847 x^{14} - 5518 x^{13} + 541 x^{12} + 9121 x^{11} - 7098 x^{10} - 4571 x^{9} + 8031 x^{8} - 1750 x^{7} - 2491 x^{6} + 1653 x^{5} - 116 x^{4} - 227 x^{3} + 96 x^{2} - 16 x + 1$ $5^{4}\cdot 7^{2}\cdot 577^{9}\cdot 34519^{2}$ $C_3^7:D_7$ (as 21T76) trivial $3034557341990$
21.21.213...184.1 $x^{21} - 42 x^{19} + 756 x^{17} - 7616 x^{15} - 18 x^{14} + 47040 x^{13} + 504 x^{12} - 183456 x^{11} - 5544 x^{10} + 448448 x^{9} + 30240 x^{8} - 659008 x^{7} - 84672 x^{6} + 533120 x^{5} + 112896 x^{4} - 200704 x^{3} - 56448 x^{2} + 25088 x + 7808$ $2^{18}\cdot 7^{25}\cdot 67^{7}$ $C_7^3:(C_3\times S_3)$ (as 21T40) trivial $29136142114500$
21.21.213...184.2 $x^{21} - 42 x^{19} + 756 x^{17} - 7616 x^{15} - 22 x^{14} + 47040 x^{13} + 616 x^{12} - 183456 x^{11} - 6776 x^{10} + 448448 x^{9} + 36960 x^{8} - 658680 x^{7} - 103488 x^{6} + 528528 x^{5} + 137984 x^{4} - 182336 x^{3} - 68992 x^{2} + 6720 x + 3424$ $2^{18}\cdot 7^{25}\cdot 67^{7}$ $C_7^3:(C_3\times S_3)$ (as 21T40) trivial $37988095885700$
21.21.227...768.1 $x^{21} - 48 x^{19} - 30 x^{18} + 812 x^{17} + 720 x^{16} - 6550 x^{15} - 6230 x^{14} + 28968 x^{13} + 26324 x^{12} - 75324 x^{11} - 61308 x^{10} + 117252 x^{9} + 83328 x^{8} - 106488 x^{7} - 67836 x^{6} + 52528 x^{5} + 32136 x^{4} - 11796 x^{3} - 7560 x^{2} + 600 x + 500$ $2^{20}\cdot 37^{7}\cdot 73^{12}$ $C_{21}:C_6$ (as 21T11) trivial $20438598341400$
21.21.481...721.1 $x^{21} - 3 x^{20} - 54 x^{19} + 142 x^{18} + 1131 x^{17} - 2619 x^{16} - 12066 x^{15} + 24246 x^{14} + 72072 x^{13} - 121339 x^{12} - 250395 x^{11} + 331947 x^{10} + 508726 x^{9} - 470445 x^{8} - 589995 x^{7} + 290104 x^{6} + 363423 x^{5} - 39813 x^{4} - 91517 x^{3} - 11880 x^{2} + 3264 x + 289$ $3^{28}\cdot 29^{18}$ $C_{21}$ (as 21T1) trivial $25788034339300$
21.21.540...016.1 $x^{21} - 10 x^{20} + 24 x^{19} + 71 x^{18} - 400 x^{17} + 241 x^{16} + 1639 x^{15} - 2929 x^{14} - 1424 x^{13} + 7382 x^{12} - 3629 x^{11} - 6162 x^{10} + 6918 x^{9} + 411 x^{8} - 3588 x^{7} + 1279 x^{6} + 541 x^{5} - 433 x^{4} + 43 x^{3} + 34 x^{2} - 11 x + 1$ $2^{30}\cdot 733^{2}\cdot 809^{6}\cdot 5779^{2}$ $C_3^7.\GL(3,2)$ (as 21T115) trivial $15924041359100$
21.21.964...049.1 $x^{21} - 6 x^{20} - 4 x^{19} + 80 x^{18} - 51 x^{17} - 446 x^{16} + 468 x^{15} + 1357 x^{14} - 1637 x^{13} - 2474 x^{12} + 3019 x^{11} + 2805 x^{10} - 3130 x^{9} - 1994 x^{8} + 1806 x^{7} + 870 x^{6} - 543 x^{5} - 217 x^{4} + 73 x^{3} + 26 x^{2} - 3 x - 1$ $13\cdot 31\cdot 5879\cdot 40\!\cdots\!77$ $S_{21}$ (as 21T164) trivial $23384402570100$
21.21.110...464.1 $x^{21} - x^{20} - 49 x^{19} + 49 x^{18} + 928 x^{17} - 894 x^{16} - 8860 x^{15} + 7979 x^{14} + 46924 x^{13} - 38237 x^{12} - 141310 x^{11} + 99810 x^{10} + 233828 x^{9} - 134152 x^{8} - 188281 x^{7} + 79711 x^{6} + 52846 x^{5} - 17134 x^{4} - 3010 x^{3} + 526 x^{2} + 50 x - 1$ $2^{14}\cdot 37^{7}\cdot 577^{9}$ $S_3\times D_7$ (as 21T8) trivial $30696176966900$
21.21.151...561.1 $x^{21} - 8 x^{20} + 2 x^{19} + 138 x^{18} - 329 x^{17} - 498 x^{16} + 2597 x^{15} - 1346 x^{14} - 6167 x^{13} + 8760 x^{12} + 2962 x^{11} - 13039 x^{10} + 5696 x^{9} + 5752 x^{8} - 5865 x^{7} + 477 x^{6} + 1450 x^{5} - 638 x^{4} + 14 x^{3} + 52 x^{2} - 13 x + 1$ $29^{18}\cdot 8488201^{2}$ $C_3^7:C_7$ (as 21T61) trivial $33128668540000$
21.21.189...929.1 $x^{21} - 6 x^{20} - 12 x^{19} + 142 x^{18} - 145 x^{17} - 894 x^{16} + 2061 x^{15} + 1246 x^{14} - 7671 x^{13} + 4308 x^{12} + 9642 x^{11} - 12723 x^{10} - 928 x^{9} + 9880 x^{8} - 4985 x^{7} - 1363 x^{6} + 1982 x^{5} - 496 x^{4} - 104 x^{3} + 78 x^{2} - 15 x + 1$ $29^{18}\cdot 9478633^{2}$ $C_3^7:C_7$ (as 21T61) trivial $20651297489000$
21.21.265...721.1 $x^{21} - 9 x^{20} + 14 x^{19} + 98 x^{18} - 357 x^{17} - 91 x^{16} + 2009 x^{15} - 2109 x^{14} - 3605 x^{13} + 7985 x^{12} - 709 x^{11} - 9214 x^{10} + 6536 x^{9} + 2516 x^{8} - 4458 x^{7} + 961 x^{6} + 856 x^{5} - 474 x^{4} + 16 x^{3} + 44 x^{2} - 12 x + 1$ $19^{2}\cdot 149^{6}\cdot 211^{6}\cdot 276049^{2}$ $C_3^7.A_7$ (as 21T132) trivial $61716136021300$
21.21.411...729.1 $x^{21} - 5 x^{20} - 14 x^{19} + 112 x^{18} - 31 x^{17} - 833 x^{16} + 1235 x^{15} + 2081 x^{14} - 5975 x^{13} + 683 x^{12} + 9749 x^{11} - 7990 x^{10} - 4232 x^{9} + 8232 x^{8} - 1974 x^{7} - 2437 x^{6} + 1666 x^{5} - 124 x^{4} - 226 x^{3} + 96 x^{2} - 16 x + 1$ $149^{6}\cdot 211^{6}\cdot 6528133^{2}$ $C_3^7.A_7$ (as 21T132) trivial $43354194564800$
21.21.555...000.1 $x^{21} - 49 x^{19} + 959 x^{17} - 9758 x^{15} - 202 x^{14} + 56350 x^{13} + 4494 x^{12} - 190169 x^{11} - 35952 x^{10} + 373723 x^{9} + 126630 x^{8} - 403689 x^{7} - 210700 x^{6} + 199850 x^{5} + 157780 x^{4} - 15435 x^{3} - 41160 x^{2} - 12600 x - 1220$ $2^{26}\cdot 5^{6}\cdot 7^{21}\cdot 37^{7}$ $C_7^3:(C_6\times S_3)$ (as 21T55) trivial $132257036237000$
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