Number field search results

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

Results (1-50 of 99 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
22.22.699...581.1	$x^{22} - x^{21} - 22 x^{20} + 22 x^{19} + 208 x^{18} - 208 x^{17} - 1103 x^{16} + 1103 x^{15} + 3589 x^{14} - 3589 x^{13} - 7359 x^{12} + 7359 x^{11} + 9385 x^{10} - 9385 x^{9} - 7060 x^{8} + 7060 x^{7} + 2807 x^{6} - 2807 x^{5} - 482 x^{4} + 482 x^{3} + 24 x^{2} - 24 x + 1$	$22$	[22,0]	$3^{11}\cdot 23^{21}$	$2$	$34.5455207339$	$34.54552073394309$		✓	✓	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$5503144493.95$
22.22.174...553.1	$x^{22} - 44 x^{20} + 816 x^{18} - 8336 x^{16} + 51512 x^{14} - 199186 x^{12} + 481348 x^{10} - 702109 x^{8} + 569938 x^{6} - 220847 x^{4} + 35007 x^{2} - 1297$	$22$	[22,0]	$1297^{11}$	$1$	$36.0138862107$	$36.013886210738214$		✓		$D_{11}$ (as 22T2)	trivial	$2$	$21$	$10757085477.8$
22.22.837...125.1	$x^{22} - x^{21} - 31 x^{20} + 26 x^{19} + 379 x^{18} - 254 x^{17} - 2365 x^{16} + 1195 x^{15} + 8247 x^{14} - 2967 x^{13} - 16780 x^{12} + 4100 x^{11} + 20269 x^{10} - 3174 x^{9} - 14356 x^{8} + 1331 x^{7} + 5656 x^{6} - 301 x^{5} - 1100 x^{4} + 50 x^{3} + 81 x^{2} - 6 x - 1$	$22$	[22,0]	$5^{11}\cdot 23^{20}$	$2$	$38.6740272187$	$38.67402721865352$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$17322043684.4$
22.22.115...125.1	$x^{22} - 3 x^{21} - 33 x^{20} + 88 x^{19} + 421 x^{18} - 1001 x^{17} - 2683 x^{16} + 5647 x^{15} + 9370 x^{14} - 17186 x^{13} - 18923 x^{12} + 29509 x^{11} + 23007 x^{10} - 28981 x^{9} - 17000 x^{8} + 15763 x^{7} + 7336 x^{6} - 4249 x^{5} - 1613 x^{4} + 425 x^{3} + 118 x^{2} - 13 x - 1$	$22$	[22,0]	$5^{11}\cdot 421^{2}\cdot 115692385433^{2}$	$3$	$39.2474171549$	$15605526.948375214$			?	$C_2\times S_{11}$ (as 22T47)	trivial	$2$	$21$	$25661717777.2$
22.22.147...125.1	$x^{22} - x^{21} - 34 x^{20} + 25 x^{19} + 435 x^{18} - 199 x^{17} - 2682 x^{16} + 491 x^{15} + 8835 x^{14} + 378 x^{13} - 16217 x^{12} - 3399 x^{11} + 16648 x^{10} + 5347 x^{9} - 9307 x^{8} - 3533 x^{7} + 2728 x^{6} + 1048 x^{5} - 402 x^{4} - 126 x^{3} + 31 x^{2} + 5 x - 1$	$22$	[22,0]	$5^{11}\cdot 55029067682009^{2}$	$2$	$39.6853069296$	$16587505.490882136$			?	$C_2\times S_{11}$ (as 22T47)	trivial	$2$	$21$	$26137547532.3$
22.22.165...392.1	$x^{22} - 23 x^{20} + 230 x^{18} - 1311 x^{16} + 4692 x^{14} - 10948 x^{12} + 16744 x^{10} - 16445 x^{8} + 9867 x^{6} - 3289 x^{4} + 506 x^{2} - 23$	$22$	[22,0]	$2^{22}\cdot 23^{21}$	$2$	$39.8897313901$	$39.88973139007569$		✓	✓	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$22759041914.1$
22.22.338...888.1	$x^{22} - 28 x^{20} + 325 x^{18} - 2049 x^{16} + 7734 x^{14} - 18224 x^{12} + 27221 x^{10} - 25625 x^{8} + 14751 x^{6} - 4857 x^{4} + 797 x^{2} - 47$	$22$	[22,0]	$2^{22}\cdot 23^{20}\cdot 47$	$3$	$41.2067952883$				?	$C_{15}\times C_{420}$ (as 22T28)	trivial	$2$	$21$	$45337860614.1$
22.22.386...881.1	$x^{22} - x^{21} - 21 x^{20} + 19 x^{19} + 181 x^{18} - 145 x^{17} - 833 x^{16} + 575 x^{15} + 2241 x^{14} - 1289 x^{13} - 3653 x^{12} + 1683 x^{11} + 3653 x^{10} - 1289 x^{9} - 2241 x^{8} + 575 x^{7} + 833 x^{6} - 145 x^{5} - 181 x^{4} + 19 x^{3} + 21 x^{2} - x - 1$	$22$	[22,0]	$23^{20}\cdot 229\cdot 982789$	$3$	$41.4556953469$	$259467.08994206376$			✓	$C_{15}\times C_{420}$ (as 22T28)	trivial	$2$	$21$	$47528575548.1$
22.22.928...061.1	$x^{22} - 11 x^{21} + 30 x^{20} + 85 x^{19} - 523 x^{18} + 90 x^{17} + 3316 x^{16} - 3374 x^{15} - 11502 x^{14} + 17176 x^{13} + 25000 x^{12} - 45246 x^{11} - 37043 x^{10} + 71097 x^{9} + 40253 x^{8} - 67045 x^{7} - 32898 x^{6} + 34453 x^{5} + 18075 x^{4} - 6583 x^{3} - 4698 x^{2} - 653 x - 23$	$22$	[22,0]	$421^{2}\cdot 3913599589\cdot 115692385433^{2}$	$3$	$47.9018491511$	$436597888160.3858$			✓	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$21$	$252306881888$
22.22.147...992.1	$x^{22} - 42 x^{20} + 760 x^{18} - 7752 x^{16} + 48960 x^{14} - 198016 x^{12} + 512512 x^{10} - 823680 x^{8} + 768768 x^{6} - 366080 x^{4} + 67584 x^{2} - 2048$	$22$	[22,0]	$2^{33}\cdot 23^{20}$	$2$	$48.9192049209$	$48.91920492091674$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$354187150112$
22.22.159...736.1	$x^{22} - 34 x^{20} + 492 x^{18} - 3983 x^{16} + 19949 x^{14} - 64494 x^{12} + 136185 x^{10} - 185894 x^{8} + 158865 x^{6} - 79911 x^{4} + 21056 x^{2} - 2209$	$22$	[22,0]	$2^{22}\cdot 23^{20}\cdot 47^{2}$	$3$	$49.0877683229$				?	$C_2^{10}:C_{11}$ (as 22T23)	trivial	$2$	$21$	$318070378232$
22.22.159...736.2	$x^{22} - 34 x^{20} + 492 x^{18} - 3983 x^{16} + 19926 x^{14} - 64218 x^{12} + 134943 x^{10} - 183272 x^{8} + 156243 x^{6} - 78922 x^{4} + 21056 x^{2} - 2209$	$22$	[22,0]	$2^{22}\cdot 23^{20}\cdot 47^{2}$	$3$	$49.0877683229$				?	$C_2^{10}:C_{11}$ (as 22T23)	trivial	$2$	$21$	$329717697236$
22.22.159...736.3	$x^{22} - 30 x^{20} + 384 x^{18} - 2778 x^{16} + 12652 x^{14} - 38127 x^{12} + 77539 x^{10} - 106223 x^{8} + 95755 x^{6} - 53838 x^{4} + 16873 x^{2} - 2209$	$22$	[22,0]	$2^{22}\cdot 23^{20}\cdot 47^{2}$	$3$	$49.08776832289523$				?	$C_2^{10}:C_{11}$ (as 22T23)	trivial	$2$	$21$	$304772134710.70905$
22.22.295...241.1	$x^{22} - 11 x^{21} + 33 x^{20} + 55 x^{19} - 453 x^{18} + 315 x^{17} + 2201 x^{16} - 3430 x^{15} - 5404 x^{14} + 12700 x^{13} + 7411 x^{12} - 25954 x^{11} - 6266 x^{10} + 32639 x^{9} + 4813 x^{8} - 25577 x^{7} - 4830 x^{6} + 11485 x^{5} + 3602 x^{4} - 2094 x^{3} - 1108 x^{2} - 128 x + 1$	$22$	[22,0]	$487\cdot 557\cdot 3499\cdot 7786721^{2}\cdot 22641181^{2}$	$5$	$50.4863925786$	$409063655295.9008$			✓	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$21$	$409378936606$
22.22.780...889.1	$x^{22} - x^{21} - 45 x^{20} + 45 x^{19} + 875 x^{18} - 875 x^{17} - 9613 x^{16} + 9613 x^{15} + 65459 x^{14} - 65459 x^{13} - 284877 x^{12} + 284877 x^{11} + 786739 x^{10} - 786739 x^{9} - 1318221 x^{8} + 1318221 x^{7} + 1207731 x^{6} - 1207731 x^{5} - 476237 x^{4} + 476237 x^{3} + 41907 x^{2} - 41907 x - 5197$	$22$	[22,0]	$7^{11}\cdot 23^{21}$	$2$	$52.7691545617$	$52.76915456165355$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$482091917601$
22.22.339...816.1	$x^{22} - 46 x^{20} + 920 x^{18} - 10488 x^{16} + 75072 x^{14} - 350336 x^{12} + 1071616 x^{10} - 2104960 x^{8} + 2525952 x^{6} - 1683968 x^{4} + 518144 x^{2} - 47104$	$22$	[22,0]	$2^{33}\cdot 23^{21}$	$2$	$56.4125991313$	$56.412599131264805$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$1101074591220$
22.22.657...125.1	$x^{22} - x^{21} - 44 x^{20} + 27 x^{19} + 766 x^{18} - 243 x^{17} - 6909 x^{16} + 676 x^{15} + 35042 x^{14} + 1614 x^{13} - 100878 x^{12} - 11106 x^{11} + 158022 x^{10} + 13148 x^{9} - 122742 x^{8} + 4085 x^{7} + 40785 x^{6} - 4986 x^{5} - 4409 x^{4} + 486 x^{3} + 133 x^{2} - 5 x - 1$	$22$	[22,0]	$5^{11}\cdot 1297^{10}$	$2$	$58.1376828687$	$80.52949770115296$			?	$D_{22}$ (as 22T3)	trivial	$2$	$21$	$3460009379450$
22.22.127...288.1	$x^{22} - 2 x^{21} - 52 x^{20} + 98 x^{19} + 1099 x^{18} - 1928 x^{17} - 12143 x^{16} + 19510 x^{15} + 75178 x^{14} - 108194 x^{13} - 259836 x^{12} + 324714 x^{11} + 471886 x^{10} - 489902 x^{9} - 393631 x^{8} + 319292 x^{7} + 115208 x^{6} - 68812 x^{5} - 6974 x^{4} + 3640 x^{3} + 132 x^{2} - 48 x + 1$	$22$	[22,0]	$2^{22}\cdot 3^{11}\cdot 23^{20}$	$3$	$59.9135453394$	$59.91354533944697$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$3259721489230$
22.22.185...008.1	$x^{22} - 11 x^{21} + 363 x^{19} - 924 x^{18} - 3795 x^{17} + 18029 x^{16} + 3872 x^{15} - 133661 x^{14} + 177265 x^{13} + 335500 x^{12} - 1066395 x^{11} + 478390 x^{10} + 1617539 x^{9} - 2643443 x^{8} + 1103938 x^{7} + 829103 x^{6} - 1076977 x^{5} + 385000 x^{4} - 737 x^{3} - 27214 x^{2} + 4235 x - 77$	$22$	[22,0]	$2^{20}\cdot 7^{11}\cdot 11^{23}$	$3$	$60.9454613188$	$66.49824652345667$			?	$F_{11}$ (as 22T4)	trivial	$2$	$21$	$8449061390020$
22.22.307...437.1	$x^{22} - 9 x^{21} - 18 x^{20} + 357 x^{19} - 275 x^{18} - 5542 x^{17} + 10055 x^{16} + 41692 x^{15} - 107702 x^{14} - 145468 x^{13} + 550877 x^{12} + 109894 x^{11} - 1389694 x^{10} + 606757 x^{9} + 1491233 x^{8} - 1379831 x^{7} - 284987 x^{6} + 767825 x^{5} - 255689 x^{4} - 39833 x^{3} + 37580 x^{2} - 6581 x + 277$	$22$	[22,0]	$13^{11}\cdot 23^{20}$	$2$	$62.3599951203$	$62.359995120299665$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$3411497799150$
22.22.429...609.1	$x^{22} - 10 x^{21} - 29 x^{20} + 529 x^{19} - 69 x^{18} - 11577 x^{17} + 11850 x^{16} + 136774 x^{15} - 182767 x^{14} - 954992 x^{13} + 1314121 x^{12} + 4053245 x^{11} - 5095548 x^{10} - 10389210 x^{9} + 10902904 x^{8} + 15714269 x^{7} - 12265214 x^{6} - 13423268 x^{5} + 6295986 x^{4} + 5702075 x^{3} - 940712 x^{2} - 757690 x - 2957$	$22$	[22,0]	$19^{11}\cdot 211^{11}$	$2$	$63.3166644731$	$63.31666447310692$		✓	?	$D_{11}$ (as 22T2)	trivial	$2$	$21$	$8142471608830$
22.22.112...653.1	$x^{22} - x^{21} - 68 x^{20} + 68 x^{19} + 2002 x^{18} - 2002 x^{17} - 33395 x^{16} + 33395 x^{15} + 346657 x^{14} - 346657 x^{13} - 2313707 x^{12} + 2313707 x^{11} + 9892669 x^{10} - 9892669 x^{9} - 26072546 x^{8} + 26072546 x^{7} + 38664841 x^{6} - 38664841 x^{5} - 26072546 x^{4} + 26072546 x^{3} + 3806248 x^{2} - 3806248 x - 268133$	$22$	[22,0]	$11^{11}\cdot 23^{21}$	$2$	$66.1496360045$	$66.14963600447149$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$7739860067820$
22.22.588...233.1	$x^{22} - 9 x^{21} - 29 x^{20} + 447 x^{19} - 45 x^{18} - 8947 x^{17} + 11069 x^{16} + 91788 x^{15} - 171900 x^{14} - 503122 x^{13} + 1217089 x^{12} + 1345876 x^{11} - 4447882 x^{10} - 974567 x^{9} + 8093877 x^{8} - 2261923 x^{7} - 6210705 x^{6} + 3693202 x^{5} + 1151278 x^{4} - 1207355 x^{3} + 143967 x^{2} + 43730 x - 6439$	$22$	[22,0]	$17^{11}\cdot 23^{20}$	$2$	$71.311382657$	$71.31138265698625$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$22589470687200$
22.22.763...125.1	$x^{22} - 9 x^{21} - 16 x^{20} + 315 x^{19} - 170 x^{18} - 4323 x^{17} + 5307 x^{16} + 30348 x^{15} - 44775 x^{14} - 120705 x^{13} + 180264 x^{12} + 285909 x^{11} - 379689 x^{10} - 406980 x^{9} + 414510 x^{8} + 326688 x^{7} - 216132 x^{6} - 122958 x^{5} + 46165 x^{4} + 13185 x^{3} - 3964 x^{2} - 9 x + 19$	$22$	[22,0]	$3^{20}\cdot 5^{21}\cdot 11^{16}$	$3$	$72.1641887887$	$85.91309878831125$			?	$C_{11}:C_{10}$ (as 22T5)	trivial	$2$	$21$	$73548357254400$
22.22.865...889.1	$x^{22} - x^{21} - 42 x^{20} + 37 x^{19} + 703 x^{18} - 539 x^{17} - 6079 x^{16} + 3987 x^{15} + 29502 x^{14} - 16237 x^{13} - 81976 x^{12} + 36419 x^{11} + 128582 x^{10} - 41490 x^{9} - 109384 x^{8} + 20339 x^{7} + 45984 x^{6} - 3224 x^{5} - 7518 x^{4} + 419 x^{3} + 376 x^{2} - 39 x + 1$	$22$	[22,0]	$89^{21}$	$1$	$72.5740517358$	$72.57405173576788$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$15755205659500$
22.22.115...008.1	$x^{22} - 10 x^{21} - 5 x^{20} + 348 x^{19} - 782 x^{18} - 3756 x^{17} + 14826 x^{16} + 11078 x^{15} - 105193 x^{14} + 51552 x^{13} + 328609 x^{12} - 383636 x^{11} - 385652 x^{10} + 777826 x^{9} - 51957 x^{8} - 501290 x^{7} + 287700 x^{6} - 24976 x^{5} - 17977 x^{4} + 4628 x^{3} - 302 x^{2} - 8 x + 1$	$22$	[22,0]	$2^{33}\cdot 1297^{10}$	$2$	$73.5389982999$	$101.86265262597475$				$D_{22}$ (as 22T3)	trivial	$2$	$21$	$40553964823400$
22.22.601...421.1	$x^{22} - 9 x^{21} - 40 x^{20} + 537 x^{19} + 295 x^{18} - 13162 x^{17} + 9563 x^{16} + 170660 x^{15} - 231298 x^{14} - 1254848 x^{13} + 2189761 x^{12} + 5193994 x^{11} - 10720346 x^{10} - 11165111 x^{9} + 27735943 x^{8} + 9739465 x^{7} - 35394797 x^{6} + 189445 x^{5} + 19032841 x^{4} - 2534661 x^{3} - 3171418 x^{2} + 176355 x + 33811$	$22$	[22,0]	$3^{11}\cdot 7^{11}\cdot 23^{20}$	$3$	$79.2581705662$	$79.2581705661848$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$60706240430800$
22.22.691...888.1	$x^{22} - 44 x^{20} + 836 x^{18} - 8976 x^{16} + 59840 x^{14} - 256256 x^{12} - 124 x^{11} + 704704 x^{10} + 2728 x^{9} - 1208064 x^{8} - 21824 x^{7} + 1208064 x^{6} + 76384 x^{5} - 619520 x^{4} - 109120 x^{3} + 123904 x^{2} + 43648 x + 3592$	$22$	[22,0]	$2^{32}\cdot 7^{11}\cdot 11^{22}$	$3$	$79.7633741177$	$97.0528678636854$			?	$C_2\times F_{11}$ (as 22T6)	trivial	$2$	$21$	$398119325026000$
22.22.108...824.1	$x^{22} - 55 x^{20} + 1177 x^{18} - 12551 x^{16} + 72050 x^{14} - 230406 x^{12} - 776 x^{11} + 417890 x^{10} + 1144 x^{9} - 424182 x^{8} + 4048 x^{7} + 227469 x^{6} - 7920 x^{5} - 56419 x^{4} + 2904 x^{3} + 4389 x^{2} + 88 x - 35$	$22$	[22,0]	$2^{32}\cdot 7^{10}\cdot 11^{23}$	$3$	$81.4190444131$	$97.0528678636854$			?	$C_2\times F_{11}$ (as 22T6)	trivial	$2$	$21$	$430410424025000$
22.22.261...824.1	$x^{22} - 2 x^{21} - 85 x^{20} + 158 x^{19} + 3034 x^{18} - 5168 x^{17} - 59231 x^{16} + 90766 x^{15} + 691144 x^{14} - 929756 x^{13} - 4958124 x^{12} + 5663424 x^{11} + 21755176 x^{10} - 20144336 x^{9} - 56643133 x^{8} + 39793946 x^{7} + 82921103 x^{6} - 40082434 x^{5} - 62983979 x^{4} + 17930170 x^{3} + 21937542 x^{2} - 2672256 x - 2672279$	$22$	[22,0]	$2^{33}\cdot 3^{11}\cdot 23^{20}$	$3$	$84.7305483889$	$84.73054838890124$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$152044041063000$
22.22.310...256.1	$x^{22} - 38 x^{20} + 641 x^{18} - 6318 x^{16} + 40285 x^{14} - 173650 x^{12} + 512983 x^{10} - 1028619 x^{8} + 1350984 x^{6} - 1075867 x^{4} + 438092 x^{2} - 54911$	$22$	[22,0]	$2^{22}\cdot 43\cdot 1277\cdot 1297^{10}$	$4$	$85.3968347066$				?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$21$	$202069424181000$
22.22.459...437.1	$x^{22} - x^{21} - 114 x^{20} + 114 x^{19} + 5636 x^{18} - 5636 x^{17} - 158239 x^{16} + 158239 x^{15} + 2774261 x^{14} - 2774261 x^{13} - 31438239 x^{12} + 31438239 x^{11} + 230186761 x^{10} - 230186761 x^{9} - 1054578864 x^{8} + 1054578864 x^{7} + 2799718011 x^{6} - 2799718011 x^{5} - 3624110114 x^{4} + 3624110114 x^{3} + 1317296136 x^{2} - 1317296136 x + 194249261$	$22$	[22,0]	$19^{11}\cdot 23^{21}$	$2$	$86.9376540072$	$86.93765400716107$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$205240201072000$
22.22.142...272.1	$x^{22} - 2 x^{21} - 96 x^{20} + 178 x^{19} + 3899 x^{18} - 6608 x^{17} - 87467 x^{16} + 133046 x^{15} + 1188426 x^{14} - 1584074 x^{13} - 10109060 x^{12} + 11435962 x^{11} + 53939118 x^{10} - 49578134 x^{9} - 176910567 x^{8} + 124307164 x^{7} + 342485752 x^{6} - 168333340 x^{5} - 366604062 x^{4} + 109236440 x^{3} + 193879860 x^{2} - 25736464 x - 38604719$	$22$	[22,0]	$2^{22}\cdot 7^{11}\cdot 23^{20}$	$3$	$91.5194522237$	$91.51945222372814$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$393171463879000$
22.22.209...629.1	$x^{22} - 9 x^{21} - 62 x^{20} + 717 x^{19} + 1305 x^{18} - 24022 x^{17} - 4969 x^{16} + 440652 x^{15} - 232734 x^{14} - 4834612 x^{13} + 4332757 x^{12} + 32637502 x^{11} - 34619686 x^{10} - 135174899 x^{9} + 145940517 x^{8} + 335982569 x^{7} - 323131047 x^{6} - 485055359 x^{5} + 334596715 x^{4} + 386471695 x^{3} - 104865816 x^{2} - 138936109 x - 24468919$	$22$	[22,0]	$23^{20}\cdot 29^{11}$	$2$	$93.1393912992$	$93.13939129924077$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$269532187377000$
22.22.268...152.1	$x^{22} - 110 x^{20} - 66 x^{19} + 4180 x^{18} + 5016 x^{17} - 70653 x^{16} - 101112 x^{15} + 642477 x^{14} + 940962 x^{13} - 3450678 x^{12} - 4810374 x^{11} + 11274747 x^{10} + 14632332 x^{9} - 22009119 x^{8} - 27704688 x^{7} + 24186393 x^{6} + 32367456 x^{5} - 12274108 x^{4} - 21398190 x^{3} + 85745 x^{2} + 6107310 x + 1650137$	$22$	[22,0]	$2^{33}\cdot 3^{20}\cdot 11^{23}$	$3$	$94.1933634644$	$102.77538915918468$			?	$F_{11}$ (as 22T4)	trivial	$2$	$21$	$3109756315010000$
22.22.394...249.1	$x^{22} - x^{21} - 65 x^{20} - 27 x^{19} + 1709 x^{18} + 2739 x^{17} - 21240 x^{16} - 58584 x^{15} + 107774 x^{14} + 530058 x^{13} + 63350 x^{12} - 2109350 x^{11} - 2370346 x^{10} + 3053082 x^{9} + 7232279 x^{8} + 1113268 x^{7} - 7233811 x^{6} - 5207551 x^{5} + 1572041 x^{4} + 2696745 x^{3} + 394142 x^{2} - 391563 x - 116981$	$22$	[22,0]	$3^{11}\cdot 67^{21}$	$2$	$95.8588092539$	$95.85880925393877$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$649525406371000$
22.22.610...625.1	$x^{22} - 6 x^{21} - 78 x^{20} + 510 x^{19} + 2025 x^{18} - 15807 x^{17} - 18933 x^{16} + 225726 x^{15} + 15870 x^{14} - 1647660 x^{13} + 763635 x^{12} + 6354345 x^{11} - 4837830 x^{10} - 12475935 x^{9} + 12236985 x^{8} + 10413186 x^{7} - 13357071 x^{6} - 1127478 x^{5} + 4770660 x^{4} - 952095 x^{3} - 312471 x^{2} + 60561 x + 9498$	$22$	[22,0]	$3^{21}\cdot 5^{20}\cdot 11^{19}$	$3$	$97.7790454788$	$106.68776526385035$			?	$C_{11}:C_{10}$ (as 22T5)	trivial	$2$	$21$	$6302138028050000$
22.22.867...217.1	$x^{22} - 9 x^{21} - 73 x^{20} + 807 x^{19} + 1975 x^{18} - 30667 x^{17} - 19975 x^{16} + 644732 x^{15} - 103492 x^{14} - 8223098 x^{13} + 4607977 x^{12} + 65804524 x^{11} - 48200954 x^{10} - 331663703 x^{9} + 247797313 x^{8} + 1036117069 x^{7} - 652601717 x^{6} - 1936994870 x^{5} + 759946006 x^{4} + 2008563717 x^{3} - 128681365 x^{2} - 908178246 x - 257391023$	$22$	[22,0]	$3^{11}\cdot 11^{11}\cdot 23^{20}$	$3$	$99.3553748754$	$99.35537487544602$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$498239383130000$
22.22.101...616.1	$x^{22} - 55 x^{20} + 1221 x^{18} - 14333 x^{16} + 98318 x^{14} - 409706 x^{12} + 1039852 x^{10} - 1564134 x^{8} + 1316293 x^{6} - 561011 x^{4} + 96041 x^{2} - 1369$	$22$	[22,0]	$2^{42}\cdot 7^{10}\cdot 11^{22}$	$3$	$100.051081151$				?	$C_2^{10}.F_{11}$ (as 22T34)	trivial	$2$	$21$	$3806572397390000$
22.22.162...125.1	$x^{22} - 9 x^{21} - 36 x^{20} + 429 x^{19} + 561 x^{18} - 8496 x^{17} - 6139 x^{16} + 89196 x^{15} + 57905 x^{14} - 526311 x^{13} - 390451 x^{12} + 1730819 x^{11} + 1575659 x^{10} - 2917939 x^{9} - 3465949 x^{8} + 1790924 x^{7} + 3593930 x^{6} + 695789 x^{5} - 1086909 x^{4} - 737116 x^{3} - 188316 x^{2} - 20940 x - 841$	$22$	[22,0]	$5^{11}\cdot 67^{20}$	$2$	$102.224031502$	$102.22403150207153$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$1590137231203360.8$
22.22.264...544.1	$x^{22} - 49 x^{20} + 1076 x^{18} - 13962 x^{16} + 118795 x^{14} - 694835 x^{12} + 2845480 x^{10} - 8139595 x^{8} + 15890642 x^{6} - 20082843 x^{4} + 14702768 x^{2} - 4682389$	$22$	[22,0]	$2^{22}\cdot 241\cdot 1297^{10}\cdot 19429$	$4$	$104.521535167$				?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$21$	$1716306987750000$
22.22.305...013.1	$x^{22} - 9 x^{21} - 84 x^{20} + 897 x^{19} + 2755 x^{18} - 38122 x^{17} - 41461 x^{16} + 903508 x^{15} + 173110 x^{14} - 13126552 x^{13} + 3288569 x^{12} + 121271266 x^{11} - 53972002 x^{10} - 717482927 x^{9} + 340654907 x^{8} + 2680513897 x^{7} - 1010896265 x^{6} - 6090097243 x^{5} + 1071244813 x^{4} + 7718191075 x^{3} + 746605202 x^{2} - 4228140005 x - 1647782009$	$22$	[22,0]	$23^{20}\cdot 37^{11}$	$2$	$105.204728134$	$105.20472813370952$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$1888088815265438.8$
22.22.707...312.1	$x^{22} - 55 x^{20} + 1199 x^{18} - 13959 x^{16} + 96910 x^{14} - 420420 x^{12} + 1158014 x^{10} - 2018390 x^{8} + 2176097 x^{6} - 1379961 x^{4} + 464013 x^{2} - 63175$	$22$	[22,0]	$2^{42}\cdot 7^{11}\cdot 11^{22}$	$3$	$109.303818267$				?	$C_2\times C_2^{10}.F_{11}$ (as 22T37)	trivial	$2$	$21$	$9633946506020000$
22.22.933...168.1	$x^{22} - 67 x^{20} + 1742 x^{18} - 22713 x^{16} + 160264 x^{14} - 613452 x^{12} + 1211561 x^{10} - 1133506 x^{8} + 512550 x^{6} - 106195 x^{4} + 7839 x^{2} - 67$	$22$	[22,0]	$2^{22}\cdot 67^{21}$	$2$	$110.688218654$	$110.68821865391708$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$6014326916364551.0$
22.22.944...641.1	$x^{22} - 9 x^{21} - 95 x^{20} + 987 x^{19} + 3645 x^{18} - 46387 x^{17} - 70417 x^{16} + 1223460 x^{15} + 652512 x^{14} - 19938598 x^{13} - 856739 x^{12} + 208664464 x^{11} - 37826626 x^{10} - 1414727471 x^{9} + 330778443 x^{8} + 6132077765 x^{7} - 984959307 x^{6} - 16336349510 x^{5} - 133094234 x^{4} + 24406337029 x^{3} + 5872500477 x^{2} - 15736819750 x - 7810183279$	$22$	[22,0]	$23^{20}\cdot 41^{11}$	$2$	$110.745560303$	$110.74556030259207$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$1977369244418017.5$
22.22.100...713.1	$x^{22} - x^{21} - 183 x^{20} + 183 x^{19} + 14537 x^{18} - 14537 x^{17} - 656695 x^{16} + 656695 x^{15} + 18561737 x^{14} - 18561737 x^{13} - 340182327 x^{12} + 340182327 x^{11} + 4049156809 x^{10} - 4049156809 x^{9} - 30438507831 x^{8} + 30438507831 x^{7} + 135102282441 x^{6} - 135102282441 x^{5} - 306339824951 x^{4} + 306339824951 x^{3} + 236973537993 x^{2} - 236973537993 x + 39405042377$	$22$	[22,0]	$23^{21}\cdot 31^{11}$	$2$	$111.048312438$	$111.04831243826274$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$3138976630957292.5$
22.22.111...776.1	$x^{22} - 55 x^{20} + 1155 x^{18} - 12859 x^{16} + 85866 x^{14} - 363440 x^{12} + 997370 x^{10} - 1777446 x^{8} + 2018885 x^{6} - 1393997 x^{4} + 527813 x^{2} - 83259$	$22$	[22,0]	$2^{42}\cdot 7^{10}\cdot 11^{23}$	$3$	$111.572667686$				?	$C_2\times C_2^{10}.F_{11}$ (as 22T37)	trivial	$2$	$21$	$17534618708500000$
22.22.205...544.1	$x^{22} - 2 x^{21} - 140 x^{20} + 258 x^{19} + 8459 x^{18} - 14168 x^{17} - 289511 x^{16} + 433206 x^{15} + 6197354 x^{14} - 8106226 x^{13} - 86544524 x^{12} + 96213194 x^{11} + 799094606 x^{10} - 727527486 x^{9} - 4847415983 x^{8} + 3434361596 x^{7} + 18832650088 x^{6} - 9628969964 x^{5} - 44480164414 x^{4} + 14436561400 x^{3} + 57439955172 x^{2} - 8797078896 x - 30789776159$	$22$	[22,0]	$2^{22}\cdot 11^{11}\cdot 23^{20}$	$3$	$114.72570486$	$114.72570485954988$		✓	?	$C_{22}$ (as 22T1)	trivial	$2$	$21$	$3035479805294090.5$
22.22.412...904.1	$x^{22} - 53 x^{20} + 963 x^{18} - 8057 x^{16} + 34825 x^{14} - 83894 x^{12} + 119260 x^{10} - 102849 x^{8} + 53662 x^{6} - 16302 x^{4} + 2614 x^{2} - 169$	$22$	[22,0]	$2^{22}\cdot 74843^{8}$	$2$	$118.426422289$				?	$C_2^{10}.\PSL(2,11)$ (as 22T39)	trivial	$2$	$21$	$10853217975800000$
22.22.412...904.2	$x^{22} - 53 x^{20} + 1109 x^{18} - 11954 x^{16} + 72629 x^{14} - 254808 x^{12} + 505403 x^{10} - 527803 x^{8} + 253819 x^{6} - 49582 x^{4} + 3337 x^{2} - 9$	$22$	[22,0]	$2^{22}\cdot 74843^{8}$	$2$	$118.426422289$				?	$C_2^{10}.\PSL(2,11)$ (as 22T39)	trivial	$2$	$21$	$15683787193700000$