Number field search results

Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)

Results (1-50 of 67 matches)

 

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
22.12.109...056.1	$x^{22} - 10 x^{20} + 44 x^{18} - 112 x^{16} + 182 x^{14} - 199 x^{12} + 151 x^{10} - 67 x^{8} - 13 x^{6} + 36 x^{4} - 13 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 1619043113033^{2}$	$2$	$25.7609917609$				?	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$16$	$32432175.4537$
22.12.109...056.2	$x^{22} - 12 x^{20} + 64 x^{18} - 200 x^{16} + 406 x^{14} - 557 x^{12} + 507 x^{10} - 271 x^{8} + 51 x^{6} + 18 x^{4} - 9 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 1619043113033^{2}$	$2$	$25.7609917609$				?	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$16$	$32418931.7126$
22.12.871...207.1	$x^{22} - 4 x^{21} - 7 x^{20} + 74 x^{19} - 135 x^{18} - 196 x^{17} + 1152 x^{16} - 1457 x^{15} - 1072 x^{14} + 5185 x^{13} - 5192 x^{12} - 461 x^{11} + 5455 x^{10} - 5559 x^{9} + 2042 x^{8} + 1469 x^{7} + 196 x^{6} - 5039 x^{5} + 4907 x^{4} - 446 x^{3} - 1666 x^{2} + 891 x - 137$	$22$	[12,5]	$-\,23^{21}\cdot 47^{2}$	$2$	$28.3034914521$	$136.73511025656717$			?	$C_{15}\times C_{420}$ (as 22T28)	trivial	$2$	$16$	$78962808.6369$
22.12.871...207.2	$x^{22} - 3 x^{21} - 14 x^{20} + 65 x^{19} + 12 x^{18} - 404 x^{17} + 384 x^{16} + 1079 x^{15} - 1857 x^{14} - 1536 x^{13} + 4746 x^{12} + 574 x^{11} - 8668 x^{10} + 4752 x^{9} + 8353 x^{8} - 11765 x^{7} + 174 x^{6} + 9989 x^{5} - 6254 x^{4} - 2191 x^{3} + 3353 x^{2} - 560 x - 229$	$22$	[12,5]	$-\,23^{21}\cdot 47^{2}$	$2$	$28.3034914521$	$136.73511025656717$			?	$C_{15}\times C_{420}$ (as 22T28)	trivial	$2$	$16$	$73339658.3874$
22.12.178...423.1	$x^{22} - x^{21} + 8 x^{20} + x^{19} - 10 x^{18} + 79 x^{17} - 234 x^{16} + 293 x^{15} - 293 x^{14} - 441 x^{13} + 1283 x^{12} - 1700 x^{11} + 1629 x^{10} + 2222 x^{9} - 4511 x^{8} - 315 x^{7} + 2661 x^{6} - 55 x^{5} - 669 x^{4} - 21 x^{3} + 68 x^{2} + 7 x - 1$	$22$	[12,5]	$-\,23^{20}\cdot 47^{3}$	$2$	$29.2380053103$	$118.57232216797493$			?	$C_{15}\times C_{420}$ (as 22T28)	trivial	$2$	$16$	$106236735.142$
22.12.178...423.2	$x^{22} - 9 x^{21} + 23 x^{20} + 32 x^{19} - 251 x^{18} + 219 x^{17} + 915 x^{16} - 1739 x^{15} - 1820 x^{14} + 6548 x^{13} + 969 x^{12} - 16878 x^{11} + 9906 x^{10} + 22070 x^{9} - 29522 x^{8} - 3288 x^{7} + 25694 x^{6} - 12946 x^{5} - 3524 x^{4} + 4687 x^{3} - 1081 x^{2} - 6 x + 1$	$22$	[12,5]	$-\,23^{20}\cdot 47^{3}$	$2$	$29.2380053103$	$118.57232216797493$			?	$C_{15}\times C_{420}$ (as 22T28)	trivial	$2$	$16$	$109815062.576$
22.12.178...423.3	$x^{22} - 8 x^{21} + 12 x^{20} + 46 x^{19} - 109 x^{18} - 114 x^{17} + 165 x^{16} + 756 x^{15} + 9 x^{14} - 3299 x^{13} - 666 x^{12} + 8067 x^{11} + 4331 x^{10} - 16061 x^{9} - 4342 x^{8} + 13658 x^{7} + 3196 x^{6} - 4458 x^{5} - 1074 x^{4} + 552 x^{3} + 42 x^{2} - 12 x - 1$	$22$	[12,5]	$-\,23^{20}\cdot 47^{3}$	$2$	$29.2380053103$	$118.57232216797493$			?	$C_{15}\times C_{420}$ (as 22T28)	trivial	$2$	$16$	$106197776.635$
22.12.178...423.4	$x^{22} - 5 x^{21} - 10 x^{20} + 78 x^{19} + 30 x^{18} - 586 x^{17} + 91 x^{16} + 3136 x^{15} - 3117 x^{14} - 7084 x^{13} + 12319 x^{12} + 6022 x^{11} - 23809 x^{10} + 9384 x^{9} + 15063 x^{8} - 18488 x^{7} + 10061 x^{6} - 2016 x^{5} - 5851 x^{4} + 8564 x^{3} - 4987 x^{2} + 1340 x - 137$	$22$	[12,5]	$-\,23^{20}\cdot 47^{3}$	$2$	$29.2380053103$	$118.57232216797493$			?	$C_{15}\times C_{420}$ (as 22T28)	trivial	$2$	$16$	$102536895.286$
22.12.178...423.5	$x^{22} - 7 x^{21} + 10 x^{20} + 16 x^{19} - 10 x^{18} - 184 x^{17} + 468 x^{16} - 58 x^{15} - 1272 x^{14} + 816 x^{13} + 2227 x^{12} - 2216 x^{11} - 2463 x^{10} + 2895 x^{9} + 2624 x^{8} - 1329 x^{7} - 2547 x^{6} - 368 x^{5} + 990 x^{4} + 174 x^{3} - 144 x^{2} + 9 x + 1$	$22$	[12,5]	$-\,23^{20}\cdot 47^{3}$	$2$	$29.2380053103$	$118.57232216797493$			?	$C_{15}\times C_{420}$ (as 22T28)	trivial	$2$	$16$	$88229828.8508$
22.12.178...423.6	$x^{22} - 10 x^{21} + 42 x^{20} - 88 x^{19} + 26 x^{18} + 460 x^{17} - 1667 x^{16} + 3076 x^{15} - 2650 x^{14} - 1948 x^{13} + 9671 x^{12} - 13923 x^{11} + 7597 x^{10} + 7283 x^{9} - 18181 x^{8} + 15029 x^{7} - 2411 x^{6} - 6693 x^{5} + 6866 x^{4} - 3122 x^{3} + 705 x^{2} - 65 x + 1$	$22$	[12,5]	$-\,23^{20}\cdot 47^{3}$	$2$	$29.2380053103$	$118.57232216797493$			?	$C_{15}\times C_{420}$ (as 22T28)	trivial	$2$	$16$	$88859950.687$
22.12.178...423.7	$x^{22} - 7 x^{21} + 8 x^{20} + 58 x^{19} - 243 x^{18} + 346 x^{17} + 333 x^{16} - 2299 x^{15} + 3786 x^{14} - 920 x^{13} - 7580 x^{12} + 14118 x^{11} - 5659 x^{10} - 17342 x^{9} + 33608 x^{8} - 19265 x^{7} - 19737 x^{6} + 44371 x^{5} - 35838 x^{4} + 14864 x^{3} - 2259 x^{2} - 482 x + 139$	$22$	[12,5]	$-\,23^{20}\cdot 47^{3}$	$2$	$29.2380053103$	$118.57232216797493$			?	$C_{15}\times C_{420}$ (as 22T28)	trivial	$2$	$16$	$109627633.006$
22.12.237...576.1	$x^{22} - 12 x^{20} + 59 x^{18} - 151 x^{16} + 204 x^{14} - 106 x^{12} - 64 x^{10} + 101 x^{8} - 19 x^{6} - 16 x^{4} + 3 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 29^{2}\cdot 131^{2}\cdot 5399^{2}\cdot 367163^{2}$	$5$	$29.6245630228$				✓	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$16$	$117361710.917$
22.12.128...496.1	$x^{22} - 8 x^{20} + 24 x^{18} - 28 x^{16} - 12 x^{14} + 66 x^{12} - 48 x^{10} - 28 x^{8} + 43 x^{6} - 3 x^{4} - 7 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 17524013040643^{2}$	$2$	$31.9887068235$				✓	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$16$	$309215215.365$
22.12.719...104.1	$x^{22} - 2 x^{20} - 17 x^{18} + 26 x^{16} + 93 x^{14} - 91 x^{12} - 180 x^{10} + 87 x^{8} + 59 x^{6} - 21 x^{4} - 3 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 23^{20}$	$2$	$34.5911015298$				?	$C_{15}\times C_{420}$ (as 22T28)	trivial	$2$	$16$	$588023297.972$
22.12.719...104.2	$x^{22} - x^{20} - 33 x^{18} + 55 x^{16} + 243 x^{14} - 373 x^{12} - 608 x^{10} + 633 x^{8} + 334 x^{6} - 222 x^{4} + 17 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 23^{20}$	$2$	$34.5911015298$				?	$C_{15}\times C_{420}$ (as 22T28)	trivial	$2$	$16$	$588807418.876$
22.12.719...104.3	$x^{22} + 7 x^{20} - 7 x^{18} - 97 x^{16} + 48 x^{14} + 476 x^{12} - 454 x^{10} - 704 x^{8} + 1317 x^{6} - 718 x^{4} + 129 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 23^{20}$	$2$	$34.5911015298$				?	$C_{15}\times C_{420}$ (as 22T28)	trivial	$2$	$16$	$517827478.504$
22.12.719...104.4	$x^{22} - 4 x^{20} - 22 x^{18} + 93 x^{16} + 131 x^{14} - 589 x^{12} - 411 x^{10} + 1384 x^{8} + 821 x^{6} - 885 x^{4} - 473 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 23^{20}$	$2$	$34.59110152983455$				?	$C_{15}\times C_{420}$ (as 22T28)	trivial	$2$	$16$	$682683579.3421679$
22.12.127...624.1	$x^{22} - 7 x^{20} + 11 x^{18} + 20 x^{16} - 54 x^{14} - 17 x^{12} + 80 x^{10} + 11 x^{8} - 43 x^{6} - 9 x^{4} + 5 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 55029067682009^{2}$	$2$	$35.495617601$				✓	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$16$	$1027577506.18$
22.12.127...624.2	$x^{22} - 4 x^{20} - 4 x^{18} + 31 x^{16} - 8 x^{14} - 81 x^{12} + 48 x^{10} + 88 x^{8} - 60 x^{6} - 35 x^{4} + 22 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 55029067682009^{2}$	$2$	$35.495617601$				✓	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$16$	$879851069.403$
22.12.548...928.1	$x^{22} - 2 x^{21} - 15 x^{20} + 28 x^{19} + 98 x^{18} - 162 x^{17} - 370 x^{16} + 496 x^{15} + 903 x^{14} - 844 x^{13} - 1496 x^{12} + 726 x^{11} + 1679 x^{10} - 122 x^{9} - 1197 x^{8} - 302 x^{7} + 462 x^{6} + 244 x^{5} - 62 x^{4} - 68 x^{3} - 5 x^{2} + 6 x + 1$	$22$	[12,5]	$-\,2^{33}\cdot 7\cdot 113\cdot 66841\cdot 1207680851138975089$	$5$	$42.1218404784$				✓	$S_{11}\wr C_2$ (as 22T57)	trivial	$2$	$16$	$9239891381.42$
22.12.640...375.1	$x^{22} - 22 x^{20} + 209 x^{18} - 1122 x^{16} + 3740 x^{14} - 8008 x^{12} - 3 x^{11} + 11011 x^{10} + 33 x^{9} - 9438 x^{8} - 132 x^{7} + 4719 x^{6} + 231 x^{5} - 1210 x^{4} - 165 x^{3} + 121 x^{2} + 33 x + 1$	$22$	[12,5]	$-\,5^{11}\cdot 11^{27}$	$2$	$42.4187477055$	$92.60958905133337$			✓	$D_{11}^2:C_{10}$ (as 22T20)	trivial	$2$	$16$	$16457779854.8$
22.12.954...992.1	$x^{22} - 2 x^{21} - 21 x^{20} + 32 x^{19} + 193 x^{18} - 192 x^{17} - 983 x^{16} + 496 x^{15} + 2915 x^{14} - 344 x^{13} - 4994 x^{12} - 730 x^{11} + 4913 x^{10} + 1626 x^{9} - 2700 x^{8} - 1304 x^{7} + 754 x^{6} + 502 x^{5} - 75 x^{4} - 90 x^{3} - 5 x^{2} + 6 x + 1$	$22$	[12,5]	$-\,2^{33}\cdot 71979199\cdot 1543143840124960849$	$3$	$43.1953017831$				?	$S_{11}\wr C_2$ (as 22T57)	trivial	$2$	$16$	$10798330275.8$
22.12.984...375.1	$x^{22} - 22 x^{20} + 209 x^{18} - 1122 x^{16} + 3740 x^{14} - 8008 x^{12} - 5 x^{11} + 11011 x^{10} + 55 x^{9} - 9438 x^{8} - 220 x^{7} + 4719 x^{6} + 385 x^{5} - 1210 x^{4} - 275 x^{3} + 121 x^{2} + 55 x + 5$	$22$	[12,5]	$-\,5^{11}\cdot 11^{22}\cdot 19^{5}$	$3$	$48.0289957235$	$130.45458388829516$			✓	$D_{11}^2:C_{10}$ (as 22T20)	trivial	$2$	$16$	$66164131632.5$
22.12.565...896.1	$x^{22} - 5 x^{20} - 34 x^{18} + 42 x^{16} + 227 x^{14} - 96 x^{12} - 468 x^{10} + 59 x^{8} + 226 x^{6} - 53 x^{4} - 9 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 1297^{10}$	$2$	$51.9999243795$				?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$16$	$114972984549$
22.12.565...896.2	$x^{22} + 12 x^{20} - 9 x^{18} - 292 x^{16} + 315 x^{14} + 1323 x^{12} - 1408 x^{10} - 1431 x^{8} + 1122 x^{6} - 19 x^{4} - 30 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 1297^{10}$	$2$	$51.9999243795$				?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$16$	$101130452861$
22.12.565...896.3	$x^{22} + 9 x^{20} - 15 x^{18} - 204 x^{16} + 41 x^{14} + 1197 x^{12} + 373 x^{10} - 1423 x^{8} - 275 x^{6} + 468 x^{4} - 52 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 1297^{10}$	$2$	$51.9999243795$				?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$16$	$91159108827.8$
22.12.565...896.4	$x^{22} + x^{20} - 41 x^{18} + 29 x^{16} + 336 x^{14} - 382 x^{12} - 647 x^{10} + 1003 x^{8} - 70 x^{6} - 340 x^{4} + 108 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 1297^{10}$	$2$	$51.9999243795$				?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$16$	$89523985427.3$
22.12.565...896.5	$x^{22} - 9 x^{20} + 12 x^{18} + 72 x^{16} - 184 x^{14} - 61 x^{12} + 443 x^{10} - 126 x^{8} - 340 x^{6} + 120 x^{4} + 76 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 1297^{10}$	$2$	$51.9999243795$				?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$16$	$113614913668$
22.12.565...896.6	$x^{22} + 2 x^{20} - 56 x^{18} - 245 x^{16} + 126 x^{14} + 1903 x^{12} + 1997 x^{10} - 1141 x^{8} - 1026 x^{6} + 464 x^{4} - 41 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 1297^{10}$	$2$	$51.9999243795$				?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$16$	$123741571050$
22.12.565...896.7	$x^{22} - 17 x^{20} + 86 x^{18} - 77 x^{16} - 371 x^{14} + 333 x^{12} + 807 x^{10} + 186 x^{8} - 158 x^{6} - 64 x^{4} - 2 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 1297^{10}$	$2$	$51.9999243795$				?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$16$	$72175825593.1$
22.12.565...896.8	$x^{22} - 16 x^{20} + 66 x^{18} + 76 x^{16} - 768 x^{14} + 416 x^{12} + 1381 x^{10} - 644 x^{8} - 483 x^{6} - 19 x^{4} + 14 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 1297^{10}$	$2$	$51.9999243795$				?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$16$	$96919671959.2$
22.12.565...896.9	$x^{22} - 2 x^{20} - 73 x^{18} + 332 x^{16} - 46 x^{14} - 1522 x^{12} + 1480 x^{10} + 1528 x^{8} - 1814 x^{6} - 620 x^{4} + 584 x^{2} + 121$	$22$	[12,5]	$-\,2^{22}\cdot 1297^{10}$	$2$	$51.9999243795$				?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$16$	$128912831300$
22.12.565...896.10	$x^{22} - 6 x^{20} - 17 x^{18} + 153 x^{16} - 125 x^{14} - 483 x^{12} + 423 x^{10} + 426 x^{8} - 132 x^{6} - 53 x^{4} + 9 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 1297^{10}$	$2$	$51.9999243795$				?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$16$	$71299418072.8$
22.12.565...896.11	$x^{22} - 7 x^{20} - 6 x^{18} + 95 x^{16} - 21 x^{14} - 397 x^{12} + 82 x^{10} + 581 x^{8} + 43 x^{6} - 160 x^{4} - 27 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 1297^{10}$	$2$	$51.9999243795$				?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$16$	$98774417571.6$
22.12.565...896.12	$x^{22} - 19 x^{20} + 30 x^{18} + 427 x^{16} - 1235 x^{14} - 833 x^{12} + 3553 x^{10} + 222 x^{8} - 2608 x^{6} + 298 x^{4} + 42 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 1297^{10}$	$2$	$51.9999243795$				?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$16$	$81076181658.2$
22.12.565...896.13	$x^{22} + 3 x^{20} - 76 x^{18} - 55 x^{16} + 1416 x^{14} + 199 x^{12} - 6272 x^{10} - 4720 x^{8} + 1682 x^{6} + 813 x^{4} - 217 x^{2} + 1$	$22$	[12,5]	$-\,2^{22}\cdot 1297^{10}$	$2$	$51.999924379508414$				?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$16$	$146878545725.37076$
22.12.432...368.1	$x^{22} - 33 x^{20} + 451 x^{18} - 3575 x^{16} + 19338 x^{14} - 74074 x^{12} - 2852 x^{11} + 200662 x^{10} + 23496 x^{9} - 379214 x^{8} - 35640 x^{7} + 458469 x^{6} - 29568 x^{5} - 295317 x^{4} + 77132 x^{3} + 71159 x^{2} - 32472 x + 2545$	$22$	[12,5]	$-\,2^{28}\cdot 7^{11}\cdot 11^{22}$	$3$	$70.3186930912$				?	$C_2\times C_2^{10}.F_{11}$ (as 22T37)	trivial	$2$	$16$	$8493530131220$
22.12.611...500.1	$x^{22} - x^{21} - 30 x^{20} + 35 x^{19} + 265 x^{18} - 687 x^{17} + 357 x^{16} + 7305 x^{15} - 18675 x^{14} - 35840 x^{13} + 103856 x^{12} + 58224 x^{11} - 211240 x^{10} + 163795 x^{9} - 64050 x^{8} - 651165 x^{7} + 823710 x^{6} + 466155 x^{5} - 852830 x^{4} + 161150 x^{3} + 139095 x^{2} - 61765 x + 6985$	$22$	[12,5]	$-\,2^{2}\cdot 3^{20}\cdot 5^{20}\cdot 11^{16}$	$4$	$71.435934996$	$159.70481706565957$			?	$C_2^{10}.C_{11}:C_{10}$ (as 22T36)	trivial	$2$	$16$	$16318467350200$
22.12.678...864.1	$x^{22} - 22 x^{20} + 220 x^{18} - 1584 x^{16} + 8448 x^{14} - 32032 x^{12} - 2852 x^{11} + 97152 x^{10} + 18084 x^{9} - 192896 x^{8} + 65120 x^{7} + 281600 x^{6} - 205568 x^{5} - 197120 x^{4} + 162272 x^{3} + 33792 x^{2} - 40128 x + 6044$	$22$	[12,5]	$-\,2^{28}\cdot 7^{10}\cdot 11^{23}$	$3$	$71.7783175447$				?	$C_2\times C_2^{10}.F_{11}$ (as 22T37)	trivial	$2$	$16$	$9720085472130$
22.12.395...936.1	$x^{22} + 22 x^{20} - 1672 x^{16} + 308 x^{14} + 24904 x^{12} - 42020 x^{10} - 12672 x^{8} + 47916 x^{6} - 18128 x^{4} - 484 x^{2} + 324$	$22$	[12,5]	$-\,2^{34}\cdot 7^{10}\cdot 11^{22}$	$3$	$77.7600145192$				?	$C_2\times C_2^{10}.F_{11}$ (as 22T37)	trivial	$2$	$16$	$28872778624300$
22.12.395...936.2	$x^{22} - 132 x^{18} + 5104 x^{14} + 704 x^{12} - 72512 x^{10} - 22528 x^{8} + 301312 x^{6} + 129536 x^{4} - 202752 x^{2} + 25600$	$22$	[12,5]	$-\,2^{34}\cdot 7^{10}\cdot 11^{22}$	$3$	$77.7600145192$				?	$C_2\times C_2^{10}.F_{11}$ (as 22T37)	trivial	$2$	$16$	$16582815650400$
22.12.158...744.1	$x^{22} - 22 x^{20} - 44 x^{18} + 1892 x^{16} - 3740 x^{14} - 33968 x^{12} + 112464 x^{10} + 18480 x^{8} - 226336 x^{6} + 9152 x^{4} + 10032 x^{2} + 16$	$22$	[12,5]	$-\,2^{36}\cdot 7^{10}\cdot 11^{22}$	$3$	$82.8176105784$				?	$C_2\times C_2^{10}.F_{11}$ (as 22T37)	trivial	$2$	$16$	$33113833647300$
22.12.158...744.2	$x^{22} - 11 x^{20} - 275 x^{18} + 1529 x^{16} + 22814 x^{14} - 2178 x^{12} - 137698 x^{10} + 20262 x^{8} + 180081 x^{6} - 29315 x^{4} + 517 x^{2} + 1$	$22$	[12,5]	$-\,2^{36}\cdot 7^{10}\cdot 11^{22}$	$3$	$82.8176105784$				?	$C_2\times C_2^{10}.F_{11}$ (as 22T37)	trivial	$2$	$16$	$54781484875400$
22.12.201...500.1	$x^{22} - x^{21} - 21 x^{20} + 20 x^{19} + 40 x^{18} - 672 x^{17} + 2292 x^{16} + 8442 x^{15} - 18060 x^{14} - 2615 x^{13} + 37889 x^{12} - 279954 x^{11} + 1556 x^{10} + 243895 x^{9} - 1841640 x^{8} - 428373 x^{7} + 1338348 x^{6} - 3568377 x^{5} - 1615535 x^{4} + 2039225 x^{3} - 424269 x^{2} + 24314 x - 281$	$22$	[12,5]	$-\,2^{2}\cdot 3^{21}\cdot 5^{20}\cdot 11^{17}$	$4$	$83.7413763026$	$213.3755305277007$			?	$C_2^{10}.C_{11}:C_{10}$ (as 22T36)	trivial	$2$	$16$	$56346154724500$
22.12.276...552.1	$x^{22} - 33 x^{20} + 33 x^{18} + 3751 x^{16} + 16654 x^{14} + 4818 x^{12} - 68354 x^{10} - 35706 x^{8} + 96261 x^{6} + 1683 x^{4} - 13079 x^{2} + 1183$	$22$	[12,5]	$-\,2^{34}\cdot 7^{11}\cdot 11^{22}$	$3$	$84.9512708677$				?	$C_2\times C_2^{10}.F_{11}$ (as 22T37)	trivial	$2$	$16$	$150225854376000$
22.12.632...976.1	$x^{22} - 220 x^{18} - 506 x^{16} + 6380 x^{14} + 14916 x^{12} - 26136 x^{10} - 44396 x^{8} + 40700 x^{6} + 30140 x^{4} - 24728 x^{2} + 2500$	$22$	[12,5]	$-\,2^{38}\cdot 7^{10}\cdot 11^{22}$	$3$	$88.2041581953$				?	$C_2\times C_2^{10}.F_{11}$ (as 22T37)	trivial	$2$	$16$	$56201616047000$
22.12.632...976.2	$x^{22} - 132 x^{18} - 66 x^{16} + 4840 x^{14} + 4312 x^{12} - 43648 x^{10} - 24156 x^{8} + 144188 x^{6} + 10736 x^{4} - 162668 x^{2} + 66564$	$22$	[12,5]	$-\,2^{38}\cdot 7^{10}\cdot 11^{22}$	$3$	$88.2041581953$				?	$C_2\times C_2^{10}.F_{11}$ (as 22T37)	trivial	$2$	$16$	$59147386595900$
22.12.739...500.1	$x^{22} - 10 x^{21} + 20 x^{20} + 295 x^{19} - 1895 x^{18} + 1995 x^{17} + 22770 x^{16} - 99795 x^{15} + 84840 x^{14} + 441805 x^{13} - 1764685 x^{12} + 2660015 x^{11} + 1421125 x^{10} - 12108650 x^{9} + 18753225 x^{8} - 11528325 x^{7} - 2371350 x^{6} + 9223500 x^{5} - 6317350 x^{4} + 1656550 x^{3} + 182800 x^{2} - 138400 x - 11575$	$22$	[12,5]	$-\,2^{2}\cdot 3^{20}\cdot 5^{20}\cdot 11^{18}$	$4$	$88.8359591438$	$202.981886350952$			?	$C_2^{10}.C_{11}:C_{10}$ (as 22T36)	trivial	$2$	$16$	$191819039319000$
22.12.156...000.1	$x^{22} - 9 x^{20} - 360 x^{18} + 555 x^{16} + 26760 x^{14} + 15147 x^{12} - 403938 x^{10} - 194490 x^{8} + 1591830 x^{6} - 498555 x^{4} - 689454 x^{2} + 114921$	$22$	[12,5]	$-\,2^{10}\cdot 3^{20}\cdot 5^{20}\cdot 11^{16}$	$4$	$91.9141100158$	$305.86771353088227$			?	$C_2^{10}.C_{11}:C_{10}$ (as 22T36)	trivial	$2$	$16$	$358939323425000$
22.12.156...000.2	$x^{22} - 34 x^{20} - 135 x^{19} + 730 x^{18} + 2955 x^{17} - 5775 x^{16} - 27900 x^{15} + 10515 x^{14} + 131175 x^{13} + 47157 x^{12} - 367890 x^{11} - 324513 x^{10} + 592530 x^{9} + 850740 x^{8} - 437700 x^{7} - 1134615 x^{6} + 9675 x^{5} + 736120 x^{4} + 120945 x^{3} - 184954 x^{2} - 20295 x + 15796$	$22$	[12,5]	$-\,2^{10}\cdot 3^{20}\cdot 5^{20}\cdot 11^{16}$	$4$	$91.9141100158$	$159.70481706565957$			?	$C_2^{10}.C_{11}:C_{10}$ (as 22T36)	trivial	$2$	$16$	$390725843673000$