Number field search results

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

Results (1-50 of 117 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
22.0.394...623.1	$x^{22} - x^{21} + x^{20} - x^{19} + x^{18} - x^{17} + x^{16} - x^{15} + x^{14} - x^{13} + x^{12} - x^{11} + x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1$	$22$	[0,11]	$-\,23^{21}$	$1$	$19.944865695$	$19.944865695037844$	✓	✓	✓	$C_{22}$ (as 22T1)	$[3]$	$46$	$10$	$1038656.82438$
22.0.100...443.1	$x^{22} - x^{21} + 7 x^{20} - 4 x^{19} + 31 x^{18} - 18 x^{17} + 77 x^{16} - 41 x^{15} + 140 x^{14} - 96 x^{13} + 153 x^{12} - 129 x^{11} + 145 x^{10} - 148 x^{9} + 84 x^{8} - 72 x^{7} + 94 x^{6} - 20 x^{5} + 39 x^{4} + 12 x^{3} + 18 x^{2} + 4 x + 1$	$22$	[0,11]	$-\,3^{11}\cdot 29^{2}\cdot 131^{2}\cdot 5399^{2}\cdot 367163^{2}$	$5$	$25.6556241538$	$4753148.607259087$			?	$C_2\times S_{11}$ (as 22T47)	$[2]$	$6$	$10$	$2461752.74517$
22.0.118...832.3	$x^{22} - 9 x^{20} + 30 x^{18} - 35 x^{16} - 36 x^{14} + 140 x^{12} - 130 x^{10} + 98 x^{8} - 330 x^{6} + 636 x^{4} - 531 x^{2} + 167$	$22$	[0,11]	$-\,2^{22}\cdot 167^{11}$	$2$	$25.84569596664017$				?	$C_2^{10}.D_{11}$ (as 22T29)	$[2]$	$2$	$10$	$1380820.0993235877$
22.0.155...507.1	$x^{22} - 11 x^{21} + 76 x^{20} - 375 x^{19} + 1474 x^{18} - 4773 x^{17} + 13158 x^{16} - 31314 x^{15} + 65238 x^{14} - 119692 x^{13} + 194559 x^{12} - 280546 x^{11} + 359279 x^{10} - 407518 x^{9} + 408092 x^{8} - 358073 x^{7} + 272834 x^{6} - 177710 x^{5} + 97035 x^{4} - 42912 x^{3} + 14655 x^{2} - 3477 x + 467$	$22$	[0,11]	$-\,23\cdot 2879\cdot 3371\cdot 56509^{2}\cdot 14792861^{2}$	$5$	$29.061716771$	$13659947365.223434$			✓	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	$[2]$	$2$	$10$	$3264151.35122$
22.0.158...676.1	$x^{22} - 11 x^{21} + 66 x^{20} - 275 x^{19} + 880 x^{18} - 2277 x^{17} + 4917 x^{16} - 9042 x^{15} + 14355 x^{14} - 19855 x^{13} + 24068 x^{12} - 25650 x^{11} + 24035 x^{10} - 19723 x^{9} + 14058 x^{8} - 8646 x^{7} + 4653 x^{6} - 2343 x^{5} + 1210 x^{4} - 605 x^{3} + 231 x^{2} - 44 x + 10$	$22$	[0,11]	$-\,2^{2}\cdot 3^{21}\cdot 11^{18}\cdot 683$	$4$	$29.0861442411$	$1291.0043009390063$			?	$C_2\times C_2^{10}.F_{11}$ (as 22T37)	$[2]$	$2$	$10$	$18825595.7955$
22.0.436...859.1	$x^{22} - 7 x^{21} + 27 x^{20} - 73 x^{19} + 238 x^{18} - 681 x^{17} + 1593 x^{16} - 3279 x^{15} + 6450 x^{14} - 11717 x^{13} + 18830 x^{12} - 25953 x^{11} + 31166 x^{10} - 32372 x^{9} + 28878 x^{8} - 22278 x^{7} + 14793 x^{6} - 8202 x^{5} + 3676 x^{4} - 1240 x^{3} + 279 x^{2} - 40 x + 4$	$22$	[0,11]	$-\,3^{21}\cdot 11^{19}\cdot 683$	$3$	$30.4548048816$	$727.7250551763278$			?	$C_2\times C_2^{10}.F_{11}$ (as 22T37)	$[2]$	$2$	$10$	$16540680.032$
22.2.128...496.1	$x^{22} + 14 x^{20} + 84 x^{18} + 284 x^{16} + 596 x^{14} + 794 x^{12} + 632 x^{10} + 220 x^{8} - 53 x^{6} - 65 x^{4} - 15 x^{2} - 1$	$22$	[2,10]	$2^{22}\cdot 17524013040643^{2}$	$2$	$31.9887068235$				✓	$C_2^{10}.S_{11}$ (as 22T51)	$[2]$	$2$	$11$	$15951024.0475$
22.6.200...817.1	$x^{22} - 11 x^{21} + 63 x^{20} - 245 x^{19} + 714 x^{18} - 1638 x^{17} + 3034 x^{16} - 4586 x^{15} + 5635 x^{14} - 5481 x^{13} + 3863 x^{12} - 1247 x^{11} - 1359 x^{10} + 2985 x^{9} - 3236 x^{8} + 2436 x^{7} - 1301 x^{6} + 435 x^{5} - 37 x^{4} - 42 x^{3} + 18 x^{2} - x - 1$	$22$	[6,8]	$37\cdot 131\cdot 431\cdot 31015897276291^{2}$	$4$	$32.6421033783$	$8049470623.358821$			✓	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	$[2]$	$2$	$13$	$46350378.7038$
22.6.409...729.2	$x^{22} - 5 x^{21} + 2 x^{20} + 36 x^{19} - 111 x^{18} + 141 x^{17} - 107 x^{16} + 558 x^{15} - 1962 x^{14} + 3577 x^{13} - 3027 x^{12} - 2023 x^{11} + 17912 x^{10} - 42755 x^{9} + 54822 x^{8} - 37877 x^{7} + 18311 x^{6} - 12826 x^{5} + 673 x^{4} + 3420 x^{3} + 4336 x^{2} - 3280 x + 47$	$22$	[6,8]	$23^{21}\cdot 47^{3}$	$2$	$33.7166533192$	$136.73511025656717$			?	$C_{15}\times C_{420}$ (as 22T28)	$[2]$	$2$	$13$	$76447219.2916$
22.6.127...624.1	$x^{22} + 15 x^{20} + 91 x^{18} + 278 x^{16} + 410 x^{14} + 123 x^{12} - 404 x^{10} - 417 x^{8} - 19 x^{6} + 77 x^{4} - 3 x^{2} - 1$	$22$	[6,8]	$2^{22}\cdot 55029067682009^{2}$	$2$	$35.495617601$				✓	$C_2^{10}.S_{11}$ (as 22T51)	$[2]$	$2$	$13$	$132523335.017$
22.2.130...989.1	$x^{22} - 11 x^{21} + 78 x^{20} - 395 x^{19} + 1595 x^{18} - 5292 x^{17} + 14883 x^{16} - 35934 x^{15} + 75375 x^{14} - 138055 x^{13} + 221616 x^{12} - 311835 x^{11} + 383985 x^{10} - 411930 x^{9} + 382260 x^{8} - 303600 x^{7} + 203205 x^{6} - 112125 x^{5} + 49335 x^{4} - 16445 x^{3} + 3795 x^{2} - 506 x + 23$	$22$	[2,10]	$23^{20}\cdot 7621189$	$2$	$35.5429615275$	$47746.96402819581$			✓	$C_{15}\times C_{420}$ (as 22T28)	$[3]$	$2$	$11$	$32103137.4514$
22.0.137...696.1	$x^{22} + 11 x^{18} - 132 x^{16} + 165 x^{14} + 187 x^{12} - 88 x^{10} + 121 x^{8} + 44 x^{6} + 11$	$22$	[0,11]	$-\,2^{20}\cdot 11^{27}$	$2$	$35.6234907105$				?	$C_2^{10}.F_{11}$ (as 22T35)	$[2]$	$2$	$10$	$308178231.768$
22.0.137...696.2	$x^{22} + 11 x^{16} + 33 x^{14} + 121 x^{12} + 275 x^{10} + 286 x^{8} + 154 x^{6} + 121 x^{4} + 121 x^{2} + 44$	$22$	[0,11]	$-\,2^{20}\cdot 11^{27}$	$2$	$35.6234907105$				?	$C_2^{10}.F_{11}$ (as 22T35)	$[2]$	$2$	$10$	$425500141.544$
22.14.226...241.1	$x^{22} - 2 x^{21} - 39 x^{20} + 64 x^{19} + 637 x^{18} - 838 x^{17} - 5728 x^{16} + 5845 x^{15} + 31533 x^{14} - 23266 x^{13} - 111308 x^{12} + 50752 x^{11} + 255873 x^{10} - 41357 x^{9} - 384169 x^{8} - 55415 x^{7} + 364754 x^{6} + 157543 x^{5} - 189895 x^{4} - 128323 x^{3} + 35550 x^{2} + 35218 x + 3037$	$22$	[14,4]	$1297^{12}$	$1$	$49.8846879289$	$216.12498794754728$			?	$C_2^{10}.D_{11}$ (as 22T30)	$[2]$	$2$	$17$	$33227535087.9$
22.6.226...241.1	$x^{22} - 10 x^{21} + 29 x^{20} + 3 x^{19} - 188 x^{18} + 381 x^{17} + 73 x^{16} - 825 x^{15} - 72 x^{14} + 1868 x^{13} - 351 x^{12} + 2371 x^{11} + 18854 x^{10} + 14453 x^{9} + 97552 x^{8} + 172564 x^{7} + 165961 x^{6} + 92915 x^{5} + 32329 x^{4} + 6644 x^{3} + 718 x^{2} + 72 x + 5$	$22$	[6,8]	$1297^{12}$	$1$	$49.8846879289$	$216.12498794754728$			?	$C_2^{10}.D_{11}$ (as 22T30)	$[2]$	$2$	$13$	$12826181652.5$
22.10.226...241.2	$x^{22} - x^{21} - 15 x^{20} + 49 x^{19} + 44 x^{18} - 485 x^{17} + 631 x^{16} + 1475 x^{15} - 5443 x^{14} + 3138 x^{13} + 10542 x^{12} - 20731 x^{11} + 9385 x^{10} - 1329 x^{9} + 26060 x^{8} - 12671 x^{7} - 46031 x^{6} + 81808 x^{5} - 90460 x^{4} + 26591 x^{3} + 21718 x^{2} - 4276 x - 289$	$22$	[10,6]	$1297^{12}$	$1$	$49.8846879289$	$216.12498794754728$			?	$C_2^{10}.D_{11}$ (as 22T30)	$[2]$	$2$	$15$	$20883851271.8$
22.14.226...241.2	$x^{22} - 3 x^{21} - 24 x^{20} + 59 x^{19} + 273 x^{18} - 436 x^{17} - 1924 x^{16} + 1356 x^{15} + 5010 x^{14} + 14999 x^{13} - 9512 x^{12} - 114771 x^{11} + 18405 x^{10} + 290616 x^{9} + 69522 x^{8} - 375325 x^{7} - 259853 x^{6} + 293924 x^{5} + 260945 x^{4} - 133418 x^{3} - 93266 x^{2} + 21174 x + 11623$	$22$	[14,4]	$1297^{12}$	$1$	$49.8846879289$	$216.12498794754728$			?	$C_2^{10}.D_{11}$ (as 22T30)	$[2]$	$2$	$17$	$76552602113.1$
22.14.226...241.4	$x^{22} - 4 x^{21} - 15 x^{20} + 64 x^{19} + 79 x^{18} - 540 x^{17} + 528 x^{16} + 1865 x^{15} - 4894 x^{14} - 1811 x^{13} + 8981 x^{12} + 4163 x^{11} - 6857 x^{10} - 8000 x^{9} + 2421 x^{8} + 4419 x^{7} - 158 x^{6} - 547 x^{5} - 172 x^{4} - 39 x^{3} + 52 x^{2} - 2 x - 1$	$22$	[14,4]	$1297^{12}$	$1$	$49.8846879289$	$216.12498794754728$			?	$C_2^{10}.D_{11}$ (as 22T30)	$[2]$	$2$	$17$	$25862455945.7$
22.10.226...241.6	$x^{22} - 5 x^{21} + x^{20} + 45 x^{19} - 310 x^{18} + 927 x^{17} - 1531 x^{16} + 1204 x^{15} + 2550 x^{14} - 9408 x^{13} + 18565 x^{12} - 24332 x^{11} + 23469 x^{10} + 9560 x^{9} - 46190 x^{8} + 69717 x^{7} - 91965 x^{6} + 67098 x^{5} - 36153 x^{4} + 9787 x^{3} + 1002 x^{2} - 474 x - 25$	$22$	[10,6]	$1297^{12}$	$1$	$49.8846879289$	$216.12498794754728$			?	$C_2^{10}.D_{11}$ (as 22T30)	$[2]$	$2$	$15$	$26707131873.9$
22.2.565...896.2	$x^{22} + 25 x^{20} + 250 x^{18} + 1243 x^{16} + 2879 x^{14} + 334 x^{12} - 14126 x^{10} - 33691 x^{8} - 35857 x^{6} - 18585 x^{4} - 4105 x^{2} - 289$	$22$	[2,10]	$2^{22}\cdot 1297^{10}$	$2$	$51.9999243795$				?	$C_2^{10}.D_{11}$ (as 22T30)	$[3]$	$2$	$11$	$4115020682.75$
22.10.185...008.1	$x^{22} - 11 x^{21} + 44 x^{20} - 11 x^{19} - 572 x^{18} + 2057 x^{17} - 1199 x^{16} - 10714 x^{15} + 29843 x^{14} - 10395 x^{13} - 81246 x^{12} + 129491 x^{11} + 33000 x^{10} - 193941 x^{9} - 23001 x^{8} + 208758 x^{7} - 19723 x^{6} - 296241 x^{5} + 63338 x^{4} + 196317 x^{3} + 17182 x^{2} + 1155 x - 63$	$22$	[10,6]	$2^{20}\cdot 7^{11}\cdot 11^{23}$	$3$	$60.9454613188$				?	$C_2^{10}.F_{11}$ (as 22T35)	$[2]$	$2$	$15$	$338205595470$
22.18.200...553.1	$x^{22} - 5 x^{21} - 19 x^{20} + 138 x^{19} - 234 x^{18} - 576 x^{17} + 8567 x^{16} - 17893 x^{15} - 75853 x^{14} + 255414 x^{13} + 209204 x^{12} - 1338618 x^{11} + 411447 x^{10} + 2870120 x^{9} - 2750667 x^{8} - 1555277 x^{7} + 2988765 x^{6} - 574462 x^{5} - 751638 x^{4} + 329506 x^{3} + 6664 x^{2} - 14874 x + 289$	$22$	[18,2]	$1297^{11}\cdot 115001$	$2$	$61.1648450288$	$12212.956112260455$			?	$C_2^{10}.D_{22}$ (as 22T32)	$[2]$	$2$	$19$	$1094818736770$
22.0.338...163.1	$x^{22} - 3 x + 3$	$22$	[0,11]	$-\,3^{21}\cdot 19\cdot 17047374542582189991184386859$	$3$	$62.6348797341$	$1624199890743315.0$			✓	$S_{22}$ (as 22T59)	$[2]$	$2$	$10$	$40479483158.9$
22.6.293...577.1	$x^{22} - 2 x^{21} - 6 x^{20} - 12 x^{19} - 51 x^{18} - 1294 x^{17} - 4139 x^{16} + 11844 x^{15} + 45982 x^{14} + 14721 x^{13} + 173096 x^{12} + 635309 x^{11} - 626140 x^{10} - 2954875 x^{9} + 1702700 x^{8} + 10537521 x^{7} + 4899648 x^{6} - 12306030 x^{5} - 9650007 x^{4} + 20971742 x^{3} + 32748639 x^{2} + 9514395 x - 381517$	$22$	[6,8]	$1297^{13}$	$1$	$69.097849513$	$216.12498794754728$			?	$C_2^{10}.D_{11}$ (as 22T29)	$[2, 2]$	$2$	$13$	$99230298736.2$
22.10.293...577.2	$x^{22} - 4 x^{21} - 25 x^{20} + 187 x^{19} - 427 x^{18} - 1387 x^{17} + 11048 x^{16} - 19578 x^{15} - 51688 x^{14} + 291735 x^{13} - 208406 x^{12} - 1486531 x^{11} + 3652116 x^{10} + 922479 x^{9} - 15631207 x^{8} + 22761255 x^{7} - 1886833 x^{6} - 28646815 x^{5} + 31917632 x^{4} - 11208552 x^{3} - 2785752 x^{2} + 2849336 x - 485809$	$22$	[10,6]	$1297^{13}$	$1$	$69.097849513$	$216.12498794754728$			?	$C_2^{10}.D_{11}$ (as 22T29)	$[2]$	$2$	$15$	$558986762171$
22.14.297...128.1	$x^{22} - 33 x^{20} - 44 x^{19} + 385 x^{18} + 990 x^{17} - 1815 x^{16} - 7436 x^{15} + 902 x^{14} + 23584 x^{13} + 14058 x^{12} - 48740 x^{11} - 23034 x^{10} + 158444 x^{9} + 133782 x^{8} - 268796 x^{7} - 608399 x^{6} - 263560 x^{5} + 354255 x^{4} + 374352 x^{3} + 107129 x^{2} + 9086 x - 63$	$22$	[14,4]	$2^{24}\cdot 7^{11}\cdot 11^{23}$	$3$	$69.1311999449$				?	$C_2^{10}.F_{11}$ (as 22T35)	$[2]$	$2$	$17$	$7150261277700$
22.10.732...112.1	$x^{22} + 17 x^{20} - 16 x^{18} - 1089 x^{16} - 1819 x^{14} + 10241 x^{12} + 27179 x^{10} - 263 x^{8} - 38576 x^{6} - 10325 x^{4} + 12922 x^{2} - 1297$	$22$	[10,6]	$2^{22}\cdot 1297^{11}$	$2$	$72.0277724215$				?	$C_2^{10}.D_{11}$ (as 22T29)	$[2]$	$2$	$15$	$821631404970$
22.14.732...112.1	$x^{22} + 6 x^{20} - 128 x^{18} - 67 x^{16} + 5045 x^{14} - 14909 x^{12} - 18753 x^{10} + 142110 x^{8} - 181519 x^{6} - 9369 x^{4} + 98505 x^{2} - 1297$	$22$	[14,4]	$2^{22}\cdot 1297^{11}$	$2$	$72.0277724215$				?	$C_2^{10}.D_{11}$ (as 22T29)	$[2]$	$2$	$17$	$4721944750210$
22.18.732...112.1	$x^{22} - 48 x^{20} + 668 x^{18} - 3452 x^{16} + 1836 x^{14} + 41707 x^{12} - 117661 x^{10} + 18659 x^{8} + 239887 x^{6} - 220532 x^{4} + 55347 x^{2} - 1297$	$22$	[18,2]	$2^{22}\cdot 1297^{11}$	$2$	$72.0277724215$				?	$C_2^{10}.D_{11}$ (as 22T29)	$[2]$	$2$	$19$	$7541989503400$
22.2.732...112.1	$x^{22} + 42 x^{20} + 682 x^{18} + 5751 x^{16} + 27661 x^{14} + 76030 x^{12} + 104221 x^{10} + 9257 x^{8} - 183787 x^{6} - 260704 x^{4} - 150852 x^{2} - 32425$	$22$	[2,10]	$2^{22}\cdot 1297^{11}$	$2$	$72.0277724215$				?	$C_2^{10}.D_{11}$ (as 22T29)	$[2]$	$2$	$11$	$173639732547$
22.10.732...112.2	$x^{22} - 201 x^{18} + 110 x^{16} + 3992 x^{14} - 857 x^{12} - 16194 x^{10} - 624 x^{8} + 15461 x^{6} + 3758 x^{4} - 3752 x^{2} - 1297$	$22$	[10,6]	$2^{22}\cdot 1297^{11}$	$2$	$72.0277724215$				?	$C_2^{10}.D_{11}$ (as 22T29)	$[2]$	$2$	$15$	$889794504043$
22.14.732...112.2	$x^{22} - x^{20} - 353 x^{18} - 1722 x^{16} + 5661 x^{14} + 15526 x^{12} - 37578 x^{10} - 11324 x^{8} + 62186 x^{6} - 45444 x^{4} + 12972 x^{2} - 1297$	$22$	[14,4]	$2^{22}\cdot 1297^{11}$	$2$	$72.0277724215$				?	$C_2^{10}.D_{11}$ (as 22T29)	$[2]$	$2$	$17$	$2305988380300$
22.2.732...112.2	$x^{22} + 63 x^{20} + 1659 x^{18} + 23877 x^{16} + 206080 x^{14} + 1097796 x^{12} + 3551233 x^{10} + 6433703 x^{8} + 4872652 x^{6} - 1515055 x^{4} - 3671807 x^{2} - 1090777$	$22$	[2,10]	$2^{22}\cdot 1297^{11}$	$2$	$72.0277724215$				?	$C_2^{10}.D_{11}$ (as 22T29)	$[3]$	$2$	$11$	$111448113188$
22.10.732...112.3	$x^{22} - 11 x^{20} - 82 x^{18} + 1254 x^{16} - 1266 x^{14} - 19635 x^{12} + 12421 x^{10} + 127961 x^{8} + 135714 x^{6} + 24994 x^{4} - 12375 x^{2} - 1297$	$22$	[10,6]	$2^{22}\cdot 1297^{11}$	$2$	$72.0277724215$				?	$C_2^{10}.D_{11}$ (as 22T29)	$[2]$	$2$	$15$	$968114296620$
22.14.732...112.3	$x^{22} - 31 x^{20} + 150 x^{18} + 1799 x^{16} - 7047 x^{14} - 30271 x^{12} + 46860 x^{10} + 53483 x^{8} - 89614 x^{6} + 29753 x^{4} + 1393 x^{2} - 1297$	$22$	[14,4]	$2^{22}\cdot 1297^{11}$	$2$	$72.0277724215$				?	$C_2^{10}.D_{11}$ (as 22T29)	$[2]$	$2$	$17$	$2730598041630$
22.10.732...112.4	$x^{22} + 19 x^{20} - 204 x^{18} - 1314 x^{16} + 11139 x^{14} + 10593 x^{12} - 133681 x^{10} + 103014 x^{8} + 141613 x^{6} - 2116 x^{4} - 12142 x^{2} - 1297$	$22$	[10,6]	$2^{22}\cdot 1297^{11}$	$2$	$72.0277724215$				?	$C_2^{10}.D_{11}$ (as 22T29)	$[2]$	$2$	$15$	$1444627808590$
22.14.732...112.4	$x^{22} + x^{20} - 378 x^{18} + 1147 x^{16} + 37339 x^{14} - 230456 x^{12} - 72697 x^{10} + 2013518 x^{8} - 1551689 x^{6} - 3871534 x^{4} + 5443562 x^{2} - 1775593$	$22$	[14,4]	$2^{22}\cdot 1297^{11}$	$2$	$72.02777242147643$				?	$C_2^{10}.D_{11}$ (as 22T29)	$[2]$	$2$	$17$	$2808587093005.0327$
22.10.732...112.5	$x^{22} + 11 x^{20} - 283 x^{18} - 955 x^{16} + 16593 x^{14} + 43210 x^{12} - 272219 x^{10} - 862533 x^{8} - 376478 x^{6} + 667131 x^{4} + 455494 x^{2} - 1297$	$22$	[10,6]	$2^{22}\cdot 1297^{11}$	$2$	$72.0277724215$				?	$C_2^{10}.D_{11}$ (as 22T29)	$[2]$	$2$	$15$	$822316783790$
22.14.732...112.5	$x^{22} - 29 x^{20} + 214 x^{18} + 716 x^{16} - 13579 x^{14} + 30773 x^{12} + 123125 x^{10} - 427856 x^{8} - 301138 x^{6} + 1492100 x^{4} - 68291 x^{2} - 1090777$	$22$	[14,4]	$2^{22}\cdot 1297^{11}$	$2$	$72.02777242147643$				?	$C_2^{10}.D_{11}$ (as 22T29)	$[2]$	$2$	$17$	$3803519864502.24$
22.10.732...112.6	$x^{22} - 7 x^{20} - 235 x^{18} + 1167 x^{16} + 16101 x^{14} - 41766 x^{12} - 425073 x^{10} + 66299 x^{8} + 3195170 x^{6} + 3421515 x^{4} - 2767488 x^{2} - 3923425$	$22$	[10,6]	$2^{22}\cdot 1297^{11}$	$2$	$72.02777242147643$				?	$C_2^{10}.D_{11}$ (as 22T29)	$[2]$	$2$	$15$	$1481352224995.8555$
22.14.732...112.6	$x^{22} - 4 x^{20} - 124 x^{18} + 672 x^{16} + 3809 x^{14} - 29629 x^{12} + 8323 x^{10} + 287800 x^{8} - 547472 x^{6} - 276056 x^{4} + 1362650 x^{2} - 810625$	$22$	[14,4]	$2^{22}\cdot 1297^{11}$	$2$	$72.02777242147643$				?	$C_2^{10}.D_{11}$ (as 22T29)	$[2]$	$2$	$17$	$3137539589825.9893$
22.10.118...512.1	$x^{22} - 11 x^{20} - 165 x^{18} + 803 x^{16} + 5874 x^{14} - 18722 x^{12} - 80146 x^{10} + 172370 x^{8} + 448525 x^{6} - 530387 x^{4} - 836825 x^{2} - 27797$	$22$	[10,6]	$2^{26}\cdot 7^{11}\cdot 11^{23}$	$3$	$73.6275685036$				?	$C_2^{10}.F_{11}$ (as 22T35)	$[2]$	$2$	$15$	$5881950436050$
22.14.118...512.1	$x^{22} - 44 x^{20} - 88 x^{19} + 308 x^{18} + 1188 x^{17} + 616 x^{16} - 8052 x^{15} - 12188 x^{14} + 41448 x^{13} + 24640 x^{12} - 126200 x^{11} + 70840 x^{10} + 100672 x^{9} - 139040 x^{8} + 236368 x^{7} - 144144 x^{6} - 281600 x^{5} + 293568 x^{4} - 36608 x^{3} - 25344 x^{2} + 5984 x - 160$	$22$	[14,4]	$2^{26}\cdot 7^{11}\cdot 11^{23}$	$3$	$73.6275685036$				?	$C_2^{10}.F_{11}$ (as 22T35)	$[2]$	$2$	$17$	$11248587363200$
22.10.118...512.2	$x^{22} + 11 x^{20} - 22 x^{19} - 143 x^{18} - 682 x^{17} - 2563 x^{16} + 396 x^{15} + 17490 x^{14} + 77352 x^{13} + 194766 x^{12} + 246656 x^{11} - 220990 x^{10} - 2045912 x^{9} - 6045534 x^{8} - 12294788 x^{7} - 18335339 x^{6} - 20263760 x^{5} - 15664121 x^{4} - 7715994 x^{3} - 2197811 x^{2} - 317966 x - 17727$	$22$	[10,6]	$2^{26}\cdot 7^{11}\cdot 11^{23}$	$3$	$73.6275685036$				?	$C_2^{10}.F_{11}$ (as 22T35)	$[2]$	$2$	$15$	$8820189159190$
22.0.129...032.1	$x^{22} - 11 x^{20} + 99 x^{18} - 33 x^{16} - 726 x^{14} + 23474 x^{12} - 4096 x^{11} + 25894 x^{10} + 22528 x^{9} + 141086 x^{8} + 540672 x^{7} + 2309285 x^{6} + 315392 x^{5} + 5775209 x^{4} - 7434240 x^{3} + 5021863 x^{2} - 9168896 x + 5643763$	$22$	[0,11]	$-\,2^{57}\cdot 11^{23}$	$2$	$73.9043614087$					$M_{22}:C_2$ (as 22T41)	$[2]$	$2$	$10$	$1485021311930$
22.12.305...500.1	$x^{22} - 50 x^{20} + 655 x^{18} - 570 x^{16} - 26565 x^{14} + 17640 x^{12} + 429960 x^{10} + 832590 x^{8} + 466125 x^{6} - 52030 x^{4} - 64735 x^{2} + 9680$	$22$	[12,5]	$-\,2^{2}\cdot 3^{20}\cdot 5^{21}\cdot 11^{16}$	$4$	$76.8578262461$	$171.8261975766225$			?	$C_2^{10}.C_{11}:C_{10}$ (as 22T36)	$[2]$	$2$	$16$	$25075662257500$
22.22.341...625.1	$x^{22} - x^{21} - 91 x^{20} + 91 x^{19} + 3589 x^{18} - 3589 x^{17} - 80315 x^{16} + 80315 x^{15} + 1120837 x^{14} - 1120837 x^{13} - 10089915 x^{12} + 10089915 x^{11} + 58493509 x^{10} - 58493509 x^{9} - 210941371 x^{8} + 210941371 x^{7} + 435702341 x^{6} - 435702341 x^{5} - 426489275 x^{4} + 426489275 x^{3} + 104090181 x^{2} - 104090181 x + 7621189$	$22$	[22,0]	$3^{11}\cdot 5^{11}\cdot 23^{21}$	$3$	$77.2461326792$	$77.24613267922518$		✓	?	$C_{22}$ (as 22T1)	$[2]$	$2$	$21$	$25638523812500$
22.10.475...048.1	$x^{22} - 22 x^{20} + 110 x^{18} - 198 x^{17} - 1232 x^{16} + 880 x^{15} + 6072 x^{14} + 17732 x^{13} + 40128 x^{12} - 32728 x^{11} - 351384 x^{10} - 402776 x^{9} + 530464 x^{8} + 1234640 x^{7} + 593560 x^{6} - 1300112 x^{5} - 1035144 x^{4} + 2519792 x^{3} - 1050016 x^{2} - 2919664 x + 1889288$	$22$	[10,6]	$2^{28}\cdot 7^{11}\cdot 11^{23}$	$3$	$78.4163857719$				?	$C_2^{10}.F_{11}$ (as 22T35)	$[2]$	$2$	$15$	$10381078396300$
22.14.475...048.1	$x^{22} - 11 x^{20} - 44 x^{19} - 231 x^{18} + 176 x^{17} + 2981 x^{16} + 6996 x^{15} + 9812 x^{14} - 22990 x^{13} - 153714 x^{12} - 146644 x^{11} + 441386 x^{10} + 840818 x^{9} - 432300 x^{8} - 1836406 x^{7} - 559647 x^{6} + 1382480 x^{5} + 980903 x^{4} - 102718 x^{3} - 185581 x^{2} - 11440 x + 7375$	$22$	[14,4]	$2^{28}\cdot 7^{11}\cdot 11^{23}$	$3$	$78.4163857719$				?	$C_2^{10}.F_{11}$ (as 22T35)	$[2]$	$2$	$17$	$24675739636700$
22.10.475...048.2	$x^{22} - 11 x^{20} - 33 x^{18} + 495 x^{16} + 506 x^{14} - 6446 x^{12} - 6226 x^{10} + 13486 x^{8} + 7029 x^{6} - 1815 x^{4} - 957 x^{2} - 77$	$22$	[10,6]	$2^{28}\cdot 7^{11}\cdot 11^{23}$	$3$	$78.4163857719$				?	$C_2^{10}.F_{11}$ (as 22T35)	$[2]$	$2$	$15$	$10413506407900$