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Label Polynomial Discriminant Galois group Class group Regulator
21.9.252...441.1 $x^{21} - 9 x^{19} + 3 x^{17} + 66 x^{15} - 75 x^{14} - 90 x^{13} + 198 x^{12} - 21 x^{11} + 63 x^{9} - 177 x^{8} + 54 x^{7} + 45 x^{6} - 51 x^{5} + 18 x^{4} - 8 x^{3} - 3 x^{2} + 3$ $3^{34}\cdot 73^{6}$ $C_3\times A_7$ (as 21T44) trivial $823613.327719$
21.9.332...609.1 $x^{21} - 6 x^{20} + 12 x^{19} - 2 x^{18} - 27 x^{17} + 36 x^{16} - 39 x^{15} + 180 x^{14} - 396 x^{13} + 183 x^{12} + 558 x^{11} - 738 x^{10} - 339 x^{9} + 1035 x^{8} + 27 x^{7} - 936 x^{6} + 27 x^{5} + 621 x^{4} + 99 x^{3} - 189 x^{2} - 81 x - 9$ $3^{36}\cdot 53^{6}$ $C_3\times A_7$ (as 21T44) trivial $967276.035305$
21.9.184...873.1 $x^{21} - 2 x^{20} - 2 x^{19} + 12 x^{18} - 25 x^{17} + x^{16} + 48 x^{15} - 91 x^{14} + 103 x^{13} - 12 x^{12} - 110 x^{11} + 272 x^{10} - 277 x^{9} - 78 x^{8} + 278 x^{7} - 46 x^{6} + 11 x^{5} - 114 x^{4} + 3 x^{3} + 93 x^{2} - 19 x - 23$ $71^{3}\cdot 8623^{3}\cdot 283573^{2}$ $C_3^7.S_7$ (as 21T139) trivial $1614740.57391$
21.9.778...553.1 $x^{21} - 8 x^{20} + 15 x^{19} + 42 x^{18} - 181 x^{17} + 43 x^{16} + 664 x^{15} - 785 x^{14} - 999 x^{13} + 2386 x^{12} - 12 x^{11} - 3337 x^{10} + 2186 x^{9} + 1818 x^{8} - 2845 x^{7} + 445 x^{6} + 1349 x^{5} - 754 x^{4} - 347 x^{3} + 279 x^{2} + 76 x + 1$ $71^{3}\cdot 157^{2}\cdot 3709^{2}\cdot 8623^{3}$ $C_3^7.S_7$ (as 21T139) trivial $3400600.48543$
21.9.155...113.1 $x^{21} - x^{20} + 3 x^{19} - 8 x^{17} + 11 x^{16} - 38 x^{15} - 57 x^{14} - 99 x^{13} - 54 x^{12} + 84 x^{11} + 86 x^{10} + 362 x^{9} - 80 x^{8} - 244 x^{7} + 140 x^{6} - 71 x^{5} + 3 x^{4} + 9 x^{3} - 7 x^{2} + 2 x + 1$ $7^{14}\cdot 71^{3}\cdot 8623^{3}$ $C_3\times S_7$ (as 21T56) trivial $4976307.00235$
21.9.155...641.1 $x^{21} - 15 x^{19} - 4 x^{18} + 93 x^{17} + 12 x^{16} - 281 x^{15} + 63 x^{14} + 375 x^{13} - 266 x^{12} - 23 x^{11} + 432 x^{10} - 39 x^{9} - 220 x^{8} - 298 x^{7} + 36 x^{6} + 171 x^{5} + 26 x^{4} - 33 x^{3} - 1$ $7^{14}\cdot 593^{3}\cdot 1033^{3}$ $C_3\times S_7$ (as 21T56) trivial $4936254.92703$
21.9.426...529.1 $x^{21} - 12 x^{19} - 6 x^{18} + 3 x^{17} - 129 x^{16} - 144 x^{15} + 111 x^{14} - 273 x^{13} - 611 x^{12} + 93 x^{11} + 426 x^{10} + 1596 x^{9} + 1509 x^{8} - 1977 x^{7} - 1134 x^{6} + 1617 x^{5} + 435 x^{4} - 254 x^{3} - 39 x^{2} + 18 x + 3$ $3^{34}\cdot 13^{2}\cdot 73^{6}$ $C_3^7.A_7$ (as 21T132) trivial $13046035.51$
21.9.111...281.1 $x^{21} - 2 x^{20} - 10 x^{19} + 31 x^{18} - 24 x^{17} - 152 x^{16} + 288 x^{15} + 7 x^{14} - 127 x^{13} + 465 x^{12} - 466 x^{11} + 1998 x^{10} + 1430 x^{9} + 2635 x^{8} + 613 x^{7} - 570 x^{6} - 1087 x^{5} - 669 x^{4} + 195 x^{3} + 193 x^{2} + 93 x - 53$ $13^{16}\cdot 109^{6}$ $C_3\times \GL(3,2)$ (as 21T22) trivial $12045126.3727$
21.9.111...281.2 $x^{21} - x^{20} - 12 x^{19} + 8 x^{18} + 49 x^{17} - 14 x^{16} - 94 x^{15} + 123 x^{14} - 7 x^{13} - 1078 x^{12} + 1150 x^{11} + 1019 x^{10} - 4414 x^{9} + 6562 x^{8} + 4203 x^{7} - 14456 x^{6} + 3035 x^{5} + 9936 x^{4} - 5649 x^{3} - 1996 x^{2} + 1631 x - 79$ $13^{16}\cdot 109^{6}$ $C_3\times \GL(3,2)$ (as 21T22) trivial $12045126.3727$
21.9.524...857.1 $x^{21} - 12 x^{19} - 12 x^{18} + 63 x^{17} + 63 x^{16} - 167 x^{15} - 18 x^{14} + 249 x^{13} + 133 x^{12} - 180 x^{11} - 1605 x^{10} - 24 x^{9} + 2187 x^{8} + 498 x^{7} + 232 x^{6} - 1215 x^{5} - 1710 x^{4} + 929 x^{3} + 765 x^{2} - 321 x - 173$ $3^{28}\cdot 71^{3}\cdot 8623^{3}$ $C_3^6.S_7$ (as 21T130) trivial $32106686.5651$
21.9.136...489.1 $x^{21} - 7 x^{20} + 7 x^{19} + 55 x^{18} - 132 x^{17} - 112 x^{16} + 589 x^{15} - 188 x^{14} - 1078 x^{13} + 1042 x^{12} + 579 x^{11} - 1297 x^{10} + 411 x^{9} + 431 x^{8} - 127 x^{7} - 455 x^{6} - 126 x^{5} + 888 x^{4} - 460 x^{3} - 146 x^{2} + 127 x - 1$ $17^{10}\cdot 19^{2}\cdot 61^{2}\cdot 131^{6}$ $C_3^7.A_7$ (as 21T132) trivial $39718417.9458$
21.9.161...921.1 $x^{21} - 9 x^{20} + 20 x^{19} + 49 x^{18} - 258 x^{17} + 121 x^{16} + 953 x^{15} - 1378 x^{14} - 1194 x^{13} + 3586 x^{12} - 572 x^{11} - 3807 x^{10} + 2407 x^{9} + 1581 x^{8} - 1937 x^{7} + 33 x^{6} + 644 x^{5} - 231 x^{4} - 49 x^{3} + 50 x^{2} - 12 x + 1$ $13^{8}\cdot 109^{6}\cdot 181^{2}\cdot 601^{2}$ $C_3^7.\GL(3,2)$ (as 21T115) trivial $74775557.941$
21.9.193...976.1 $x^{21} - 5 x^{20} + 20 x^{19} - 76 x^{18} + 244 x^{17} - 536 x^{16} + 482 x^{15} + 655 x^{14} - 2970 x^{13} + 3601 x^{12} + 274 x^{11} - 4051 x^{10} + 4053 x^{9} + 428 x^{8} - 4459 x^{7} + 1158 x^{6} + 825 x^{5} + 130 x^{4} + 898 x^{3} - 516 x^{2} - 260 x + 73$ $2^{14}\cdot 79^{8}\cdot 9199^{3}$ $S_3\times S_7$ (as 21T74) trivial $55415325.3394$
21.9.273...241.1 $x^{21} - 8 x^{20} + 11 x^{19} + 69 x^{18} - 212 x^{17} - 125 x^{16} + 1107 x^{15} - 639 x^{14} - 2429 x^{13} + 3139 x^{12} + 1803 x^{11} - 4950 x^{10} + 904 x^{9} + 3274 x^{8} - 2054 x^{7} - 553 x^{6} + 924 x^{5} - 224 x^{4} - 88 x^{3} + 61 x^{2} - 13 x + 1$ $13^{6}\cdot 19^{2}\cdot 109^{6}\cdot 96757^{2}$ $C_3^7.\GL(3,2)$ (as 21T115) trivial $110042286.853$
21.9.101...752.1 $x^{21} - 4 x^{20} + 8 x^{19} - 4 x^{18} - 36 x^{17} + 48 x^{16} - 52 x^{15} + 114 x^{14} - 216 x^{12} + 584 x^{11} - 404 x^{10} - 140 x^{9} + 160 x^{8} - 208 x^{7} + 204 x^{6} - 192 x^{5} + 144 x^{4} - 4 x^{3} - 32 x^{2} + 16 x - 4$ $2^{20}\cdot 37^{7}\cdot 317^{6}$ $S_3\times \GL(3,2)$ (as 21T27) trivial $241328139.391$
21.9.101...752.2 $x^{21} - 2 x^{20} - 2 x^{19} + 16 x^{18} - 8 x^{17} - 68 x^{16} - 150 x^{15} + 164 x^{14} + 240 x^{13} - 62 x^{12} - 256 x^{11} + 30 x^{10} + 512 x^{9} - 436 x^{8} - 114 x^{7} + 216 x^{6} - 44 x^{5} - 44 x^{4} - 2 x^{3} + 20 x^{2} + 4 x - 2$ $2^{20}\cdot 37^{7}\cdot 317^{6}$ $S_3\times \GL(3,2)$ (as 21T27) trivial $241328139.391$
21.9.356...264.1 $x^{21} - x^{20} + 4 x^{19} + x^{18} - 17 x^{17} + 24 x^{16} - 107 x^{15} - 238 x^{14} - 467 x^{13} - 355 x^{12} + 497 x^{11} + 812 x^{10} + 3209 x^{9} - 222 x^{8} - 3450 x^{7} + 1169 x^{6} - 373 x^{5} + 2 x^{4} + 32 x^{3} - 12 x^{2} + 3 x + 1$ $2^{14}\cdot 37^{7}\cdot 71^{3}\cdot 8623^{3}$ $S_3\times S_7$ (as 21T74) trivial $257019918.368$
21.9.177...088.1 $x^{21} - 2 x^{20} - 10 x^{19} + 18 x^{18} + 68 x^{17} - 28 x^{16} - 376 x^{15} - 352 x^{14} + 648 x^{13} + 856 x^{12} - 848 x^{11} - 912 x^{10} + 1240 x^{9} + 432 x^{8} - 1144 x^{7} + 120 x^{6} + 448 x^{5} - 144 x^{3} - 64 x^{2} + 32 x + 16$ $2^{20}\cdot 7^{6}\cdot 37^{7}\cdot 73^{6}$ $S_3\times A_7$ (as 21T57) trivial $1075461154.98$
21.9.210...648.1 $x^{21} - 27 x^{17} - 36 x^{16} - 39 x^{15} - 54 x^{14} + 45 x^{13} + 208 x^{12} + 945 x^{11} + 2526 x^{10} + 3985 x^{9} + 5076 x^{8} + 3393 x^{7} - 5790 x^{6} - 18252 x^{5} - 22104 x^{4} - 15056 x^{3} - 6048 x^{2} - 1344 x - 128$ $2^{14}\cdot 3^{21}\cdot 107^{3}\cdot 21557^{3}$ $C_3^7.(C_2^7.S_7)$ (as 21T152) trivial $572421980.598$
21.9.227...336.1 $x^{21} - 3 x^{19} - 2 x^{18} - 45 x^{17} + 6 x^{16} + 57 x^{15} - 18 x^{14} + 384 x^{13} - 82 x^{12} - 369 x^{11} - 114 x^{10} - 235 x^{9} + 1422 x^{8} + 3867 x^{7} + 1160 x^{6} - 3312 x^{5} - 1512 x^{4} + 112 x^{3} + 288 x^{2} + 384 x - 128$ $2^{14}\cdot 3^{21}\cdot 23^{3}\cdot 239^{3}\cdot 431^{3}$ $C_3^7.(C_2^7.S_7)$ (as 21T152) trivial $673571318.196$
21.9.391...561.1 $x^{21} - 6 x^{20} + 12 x^{19} + 5 x^{18} - 66 x^{17} + 108 x^{16} + 4 x^{15} - 261 x^{14} + 351 x^{13} - 15 x^{12} - 459 x^{11} + 486 x^{10} - 27 x^{9} - 342 x^{8} + 279 x^{7} - 17 x^{6} - 108 x^{5} + 69 x^{4} - 6 x^{3} - 12 x^{2} + 6 x - 1$ $3^{18}\cdot 7^{14}\cdot 13^{2}\cdot 296773^{2}$ $A_7\wr C_3$ (as 21T153) trivial $1145269176.62$
21.9.558...057.1 $x^{21} - 2 x^{20} - 29 x^{19} + 68 x^{18} + 307 x^{17} - 748 x^{16} - 1496 x^{15} + 3371 x^{14} + 3691 x^{13} - 7180 x^{12} - 6204 x^{11} + 7336 x^{10} + 7843 x^{9} - 91 x^{8} - 4359 x^{7} - 3432 x^{6} + 52 x^{5} + 951 x^{4} + 433 x^{3} + 29 x^{2} - 27 x - 5$ $11^{13}\cdot 29^{6}\cdot 43^{7}$ $S_3\times A_7$ (as 21T57) trivial $1630641508.19$
21.9.130...848.1 $x^{21} - 30 x^{19} - 34 x^{18} + 387 x^{17} + 954 x^{16} - 2237 x^{15} - 10944 x^{14} - 525 x^{13} + 63996 x^{12} + 83790 x^{11} - 181800 x^{10} - 495124 x^{9} + 82314 x^{8} + 1330701 x^{7} + 810842 x^{6} - 1778580 x^{5} - 1822800 x^{4} + 1114720 x^{3} + 1473696 x^{2} - 332928 x - 341632$ $2^{14}\cdot 3^{21}\cdot 17^{2}\cdot 59^{3}\cdot 10859^{3}$ $C_3^7.(C_2^7.S_7)$ (as 21T152) trivial $1452098719.54$
21.9.430...321.1 $x^{21} - 6 x^{20} + 12 x^{19} + 4 x^{18} - 63 x^{17} + 108 x^{16} - 9 x^{15} - 243 x^{14} + 360 x^{13} - 57 x^{12} - 432 x^{11} + 513 x^{10} - 69 x^{9} - 333 x^{8} + 297 x^{7} - 30 x^{6} - 108 x^{5} + 72 x^{4} - 7 x^{3} - 12 x^{2} + 6 x - 1$ $3^{44}\cdot 181^{2}\cdot 36541^{2}$ $A_7\wr C_3$ (as 21T153) trivial $10314709459.0$
21.9.455...872.1 $x^{21} - 18 x^{19} - 24 x^{18} + 90 x^{17} + 252 x^{16} - 256 x^{15} - 1368 x^{14} - 102 x^{13} + 4096 x^{12} + 2556 x^{11} - 6780 x^{10} - 3112 x^{9} + 12384 x^{8} + 6666 x^{7} - 11436 x^{6} - 8712 x^{5} + 6192 x^{4} + 4576 x^{3} - 2880 x^{2} - 384 x + 256$ $2^{32}\cdot 3^{21}\cdot 317^{6}$ $C_3^7.(C_2^7.\GL(3,2))$ (as 21T147) trivial $12412580355.9$
21.9.135...073.1 $x^{21} - 21 x^{19} + 189 x^{17} - 952 x^{15} - 7 x^{14} + 2940 x^{13} + 98 x^{12} - 5733 x^{11} - 539 x^{10} + 7007 x^{9} + 1470 x^{8} - 5131 x^{7} - 2058 x^{6} + 1960 x^{5} + 1372 x^{4} - 147 x^{3} - 343 x^{2} - 98 x - 7$ $7^{35}\cdot 71^{3}$ $D_7\wr C_3$ (as 21T45) trivial $4675153182.69$
21.9.285...453.1 $x^{21} - 21 x^{19} + 189 x^{17} - 952 x^{15} - 8 x^{14} + 2940 x^{13} + 112 x^{12} - 5733 x^{11} - 616 x^{10} + 7007 x^{9} + 1680 x^{8} - 5126 x^{7} - 2352 x^{6} + 1925 x^{5} + 1568 x^{4} - 77 x^{3} - 392 x^{2} - 133 x - 13$ $7^{38}\cdot 13^{3}$ $D_7\wr C_3$ (as 21T45) trivial $13141879201.5$
21.9.797...949.1 $x^{21} - 21 x^{19} + 189 x^{17} - 952 x^{15} - 6 x^{14} + 2940 x^{13} + 84 x^{12} - 5733 x^{11} - 462 x^{10} + 7007 x^{9} + 1260 x^{8} - 5137 x^{7} - 1764 x^{6} + 2002 x^{5} + 1176 x^{4} - 231 x^{3} - 294 x^{2} - 56 x + 1$ $7^{17}\cdot 47^{3}\cdot 229^{7}$ $C_7^3:(C_6\times S_4)$ (as 21T87) trivial $33047121628.3$
21.9.971...632.1 $x^{21} - 42 x^{19} - 28 x^{18} + 756 x^{17} + 1008 x^{16} - 7305 x^{15} - 15282 x^{14} + 37035 x^{13} + 123664 x^{12} - 52677 x^{11} - 539382 x^{10} - 405392 x^{9} + 987120 x^{8} + 2007441 x^{7} + 620538 x^{6} - 2081484 x^{5} - 3261240 x^{4} - 2340560 x^{3} - 949536 x^{2} - 211008 x - 20096$ $2^{14}\cdot 3^{21}\cdot 157^{2}\cdot 593^{3}\cdot 1033^{3}$ $C_3^6.(S_3\times S_7)$ (as 21T144) trivial $11718147093.4$
21.9.169...277.1 $x^{21} - 21 x^{19} + 189 x^{17} - 952 x^{15} - 6 x^{14} + 2940 x^{13} + 84 x^{12} - 5733 x^{11} - 462 x^{10} + 7007 x^{9} + 1260 x^{8} - 5136 x^{7} - 1764 x^{6} + 1995 x^{5} + 1176 x^{4} - 217 x^{3} - 294 x^{2} - 63 x - 1$ $3^{31}\cdot 7^{21}\cdot 17^{3}$ $D_7^3:C_3^2$ (as 21T70) trivial $33345384563.4$
21.9.175...304.1 $x^{21} - 15 x^{19} - 22 x^{18} + 27 x^{17} + 168 x^{16} + 105 x^{15} - 54 x^{14} - 1014 x^{13} + 1890 x^{12} + 13563 x^{11} - 25146 x^{10} + 13781 x^{9} + 77688 x^{8} - 265965 x^{7} - 246390 x^{6} + 126756 x^{5} - 76728 x^{4} - 22336 x^{3} + 60768 x^{2} - 40512 x + 27008$ $2^{14}\cdot 3^{21}\cdot 71^{3}\cdot 211^{2}\cdot 8623^{3}$ $C_3^7.(C_2^7.S_7)$ (as 21T152) trivial $14948518010.9$
21.9.346...744.1 $x^{21} - x^{20} - 27 x^{19} + 39 x^{18} + 380 x^{17} - 662 x^{16} - 3120 x^{15} + 3546 x^{14} + 9982 x^{13} + 3246 x^{12} - 10664 x^{11} - 20884 x^{10} - 15180 x^{9} - 7396 x^{8} - 7696 x^{7} - 3296 x^{6} + 1440 x^{5} + 520 x^{4} + 136 x^{3} + 656 x^{2} + 312 x + 24$ $2^{26}\cdot 3^{9}\cdot 47^{7}\cdot 2276293^{2}$ $\PSL(2,7)\wr S_3$ (as 21T146) trivial $153154579102$
21.9.346...744.2 $x^{21} - 6 x^{20} + 13 x^{19} - 25 x^{18} + 29 x^{17} + 34 x^{16} + 10 x^{15} + 77 x^{14} - 179 x^{13} - 279 x^{12} - 692 x^{11} - 1196 x^{10} - 1314 x^{9} - 2334 x^{8} - 3096 x^{7} - 3644 x^{6} - 4884 x^{5} - 4772 x^{4} - 3472 x^{3} - 2304 x^{2} - 1080 x - 216$ $2^{26}\cdot 3^{9}\cdot 47^{7}\cdot 2276293^{2}$ $\PSL(2,7)\wr S_3$ (as 21T146) trivial $153154579102$
21.9.529...149.1 $x^{21} - 21 x^{19} + 189 x^{17} - 952 x^{15} - 2 x^{14} + 2940 x^{13} + 28 x^{12} - 5733 x^{11} - 154 x^{10} + 7007 x^{9} + 420 x^{8} - 5150 x^{7} - 588 x^{6} + 2093 x^{5} + 392 x^{4} - 413 x^{3} - 98 x^{2} + 35 x + 9$ $3^{10}\cdot 7^{21}\cdot 107^{7}$ $C_7^3:(C_6\times S_4)$ (as 21T87) trivial $96727720212.8$
21.9.799...800.1 $x^{21} - 21 x^{19} - 14 x^{18} + 171 x^{17} + 228 x^{16} - 707 x^{15} - 1566 x^{14} + 1629 x^{13} + 6896 x^{12} + 81 x^{11} - 20322 x^{10} - 19128 x^{9} + 25776 x^{8} + 59865 x^{7} + 17162 x^{6} - 67500 x^{5} - 104184 x^{4} - 74576 x^{3} - 30240 x^{2} - 6720 x - 640$ $2^{14}\cdot 3^{21}\cdot 5^{2}\cdot 11^{12}\cdot 29^{6}$ $C_3^7.(C_2^7.A_7)$ (as 21T151) trivial $59128196036.7$
21.9.819...208.1 $x^{21} + 15 x^{19} - 10 x^{18} + 36 x^{17} - 48 x^{16} - 281 x^{15} + 594 x^{14} - 1368 x^{13} + 2680 x^{12} - 1134 x^{11} - 3708 x^{10} + 9933 x^{9} - 18900 x^{8} + 23553 x^{7} - 11586 x^{6} - 9612 x^{5} + 19800 x^{4} - 14800 x^{3} + 6048 x^{2} - 1344 x + 128$ $2^{14}\cdot 3^{25}\cdot 8388019^{3}$ $C_3^7.(C_2^6.S_7)$ (as 21T149) trivial $46235467385.5$
21.9.979...448.1 $x^{21} + 18 x^{19} - 12 x^{18} + 81 x^{17} - 108 x^{16} - 99 x^{15} + 270 x^{14} - 1557 x^{13} + 3712 x^{12} - 4887 x^{11} + 5682 x^{10} - 3485 x^{9} - 5148 x^{8} + 15567 x^{7} - 23006 x^{6} + 26892 x^{5} - 24408 x^{4} + 15312 x^{3} - 6048 x^{2} + 1344 x - 128$ $2^{14}\cdot 3^{21}\cdot 7\cdot 71^{3}\cdot 283583^{3}$ $C_3^7.(C_2^7.S_7)$ (as 21T152) trivial $42868486262.7$
21.9.174...737.1 $x^{21} - 21 x^{19} + 189 x^{17} - 952 x^{15} - 9 x^{14} + 2940 x^{13} + 126 x^{12} - 5733 x^{11} - 693 x^{10} + 7007 x^{9} + 1890 x^{8} - 5121 x^{7} - 2646 x^{6} + 1890 x^{5} + 1764 x^{4} - 7 x^{3} - 441 x^{2} - 168 x - 19$ $3^{31}\cdot 7^{21}\cdot 37^{3}$ $D_7^3:C_3^2$ (as 21T70) trivial $87006042013.7$
21.9.177...472.1 $x^{21} - 45 x^{19} - 30 x^{18} + 837 x^{17} + 1116 x^{16} - 7971 x^{15} - 16686 x^{14} + 37152 x^{13} + 126264 x^{12} - 34803 x^{11} - 487914 x^{10} - 411853 x^{9} + 737244 x^{8} + 1627689 x^{7} + 635266 x^{6} - 1401516 x^{5} - 2321496 x^{4} - 1681744 x^{3} - 683424 x^{2} - 151872 x - 14464$ $2^{14}\cdot 3^{21}\cdot 13^{6}\cdot 109^{6}\cdot 113^{2}$ $C_3^7.(C_2^7.\GL(3,2))$ (as 21T147) trivial $44718695480.2$
21.9.231...736.1 $x^{21} - 6 x^{20} + 12 x^{19} + 4 x^{18} - 63 x^{17} + 108 x^{16} - 10 x^{15} - 243 x^{14} + 363 x^{13} - 59 x^{12} - 435 x^{11} + 519 x^{10} - 66 x^{9} - 336 x^{8} + 297 x^{7} - 29 x^{6} - 108 x^{5} + 72 x^{4} - 7 x^{3} - 12 x^{2} + 6 x - 1$ $2^{8}\cdot 3^{18}\cdot 229^{7}\cdot 241^{2}\cdot 349^{2}$ $A_7\wr S_3$ (as 21T156) trivial $86978759036.2$
21.9.293...281.1 $x^{21} - 63 x^{19} - 4 x^{18} + 1683 x^{17} + 216 x^{16} - 24877 x^{15} - 5346 x^{14} + 221076 x^{13} + 76086 x^{12} - 1185372 x^{11} - 647136 x^{10} + 3493272 x^{9} + 3080592 x^{8} - 3545727 x^{7} - 6328004 x^{6} - 4869576 x^{5} - 126336 x^{4} + 2790672 x^{3} + 1272384 x^{2} - 282752$ $3^{28}\cdot 47^{4}\cdot 59^{3}\cdot 10859^{3}$ $C_3^6.S_7$ (as 21T130) trivial $64859089096.9$
21.9.348...776.1 $x^{21} - 18 x^{19} - 2 x^{18} + 45 x^{17} + 174 x^{16} - 214 x^{15} - 1116 x^{14} + 9906 x^{13} - 15026 x^{12} - 34911 x^{11} + 106704 x^{10} - 73813 x^{9} - 33354 x^{8} + 29901 x^{7} + 53194 x^{6} - 62604 x^{5} + 14064 x^{4} + 5872 x^{3} - 1440 x^{2} - 576 x + 128$ $2^{14}\cdot 3^{21}\cdot 17^{6}\cdot 131^{6}\cdot 1667$ $C_3^7.(C_2^7.A_7)$ (as 21T151) trivial $90193315521.5$
21.9.517...264.1 $x^{21} - 3 x^{20} + 15 x^{19} - 42 x^{18} + 18 x^{17} - 279 x^{16} - 292 x^{15} - 894 x^{14} + 1677 x^{13} + 5757 x^{12} + 30555 x^{11} + 59316 x^{10} + 103482 x^{9} + 110757 x^{8} - 119745 x^{7} - 505489 x^{6} - 1236021 x^{5} - 1853052 x^{4} - 1402417 x^{3} - 526482 x^{2} - 91392 x - 5491$ $2^{18}\cdot 3^{30}\cdot 17^{2}\cdot 57605311^{2}$ $\PSL(2,7)\wr C_3$ (as 21T143) trivial $223805105406$
21.9.517...264.2 $x^{21} - 6 x^{20} + 6 x^{19} + 10 x^{18} + 15 x^{17} - 36 x^{16} - 58 x^{15} + 15 x^{14} + 27 x^{13} - 21 x^{12} - 204 x^{11} - 144 x^{10} + 82 x^{9} - 114 x^{8} - 588 x^{7} - 776 x^{6} + 72 x^{5} + 576 x^{4} - 784 x^{3} - 1800 x^{2} - 1080 x - 216$ $2^{18}\cdot 3^{30}\cdot 17^{2}\cdot 57605311^{2}$ $\PSL(2,7)\wr C_3$ (as 21T143) trivial $223805105406$
21.9.672...041.1 $x^{21} - 21 x^{19} + 189 x^{17} - 952 x^{15} - 7 x^{14} + 2940 x^{13} + 98 x^{12} - 5733 x^{11} - 539 x^{10} + 7007 x^{9} + 1470 x^{8} - 5133 x^{7} - 2058 x^{6} + 1974 x^{5} + 1372 x^{4} - 175 x^{3} - 343 x^{2} - 84 x - 3$ $3^{7}\cdot 7^{24}\cdot 107^{7}$ $C_7^3:(C_3\times S_4)$ (as 21T69) trivial $292306857193$
21.9.117...000.1 $x^{21} - 6 x^{20} + 12 x^{19} + 5 x^{18} - 66 x^{17} + 108 x^{16} + 3 x^{15} - 261 x^{14} + 354 x^{13} - 17 x^{12} - 462 x^{11} + 492 x^{10} - 24 x^{9} - 345 x^{8} + 279 x^{7} - 16 x^{6} - 108 x^{5} + 69 x^{4} - 6 x^{3} - 12 x^{2} + 6 x - 1$ $2^{14}\cdot 3^{18}\cdot 5^{4}\cdot 37^{7}\cdot 559081^{2}$ $A_7\wr S_3$ (as 21T156) trivial $193208058283$
21.9.144...592.1 $x^{21} - 21 x^{19} - 20 x^{18} + 189 x^{17} + 360 x^{16} - 809 x^{15} - 2700 x^{14} + 795 x^{13} + 10496 x^{12} + 7137 x^{11} - 20652 x^{10} - 32065 x^{9} + 12744 x^{8} + 56925 x^{7} + 21196 x^{6} - 45144 x^{5} - 42288 x^{4} + 8320 x^{3} + 26496 x^{2} + 11328 x + 896$ $2^{14}\cdot 3^{21}\cdot 71^{3}\cdot 103\cdot 283583^{3}$ $C_3^7.(C_2^7.S_7)$ (as 21T152) trivial $140273626122$
21.9.153...521.1 $x^{21} - 21 x^{19} + 189 x^{17} - 952 x^{15} - x^{14} + 2940 x^{13} + 14 x^{12} - 5733 x^{11} - 77 x^{10} + 7007 x^{9} + 210 x^{8} - 5151 x^{7} - 294 x^{6} + 2100 x^{5} + 196 x^{4} - 427 x^{3} - 49 x^{2} + 42 x + 7$ $7^{24}\cdot 19^{14}$ $C_4\times C_4^4.C_2$ (as 21T53) trivial $256728120726$
21.9.733...448.1 $x^{21} - 69 x^{19} - 46 x^{18} + 2043 x^{17} + 2724 x^{16} - 32707 x^{15} - 67230 x^{14} + 286632 x^{13} + 873912 x^{12} - 1070820 x^{11} - 6122808 x^{10} - 2253504 x^{9} + 19682496 x^{8} + 31706229 x^{7} - 3678686 x^{6} - 63451836 x^{5} - 86436504 x^{4} - 60419856 x^{3} - 24391584 x^{2} - 5420352 x - 516224$ $2^{14}\cdot 3^{21}\cdot 37^{2}\cdot 59^{3}\cdot 109^{2}\cdot 10859^{3}$ $C_3^6.(S_3\times S_7)$ (as 21T144) trivial $293150961077$
21.9.956...989.1 $x^{21} - 21 x^{19} + 189 x^{17} - 952 x^{15} - 2 x^{14} + 2940 x^{13} + 28 x^{12} - 5733 x^{11} - 154 x^{10} + 7007 x^{9} + 420 x^{8} - 5151 x^{7} - 588 x^{6} + 2100 x^{5} + 392 x^{4} - 427 x^{3} - 98 x^{2} + 42 x + 11$ $7^{31}\cdot 67^{7}$ $C_7^3:(C_3\times S_4)$ (as 21T69) trivial $1331305157360$
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