Number field search results

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

Results (1-50 of 1068 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
22.0.178...627.1	$x^{22} + 2 x^{20} + 5 x^{18} - x^{17} + 6 x^{16} - 3 x^{15} + 9 x^{14} - x^{13} + 7 x^{12} - 3 x^{11} + 13 x^{10} + 5 x^{8} + 3 x^{7} + 10 x^{6} + x^{4} + 4 x^{2} + 2 x + 1$	$22$	[0,11]	$-\,3^{11}\cdot 1003532779^{2}$	$2$	$11.3993917419$	$54868.91959023797$			?	$C_2\times S_{11}$ (as 22T47)	trivial	$6$	$10$	$622.138184002$
22.0.116...067.1	$x^{22} - 2 x^{21} + 6 x^{20} - 12 x^{19} + 22 x^{18} - 40 x^{17} + 62 x^{16} - 97 x^{15} + 138 x^{14} - 177 x^{13} + 216 x^{12} - 233 x^{11} + 238 x^{10} - 226 x^{9} + 195 x^{8} - 164 x^{7} + 124 x^{6} - 85 x^{5} + 55 x^{4} - 29 x^{3} + 13 x^{2} - 5 x + 1$	$22$	[0,11]	$-\,971^{2}\cdot 1867\cdot 25709231^{2}$	$3$	$12.4136136602$	$6826943.634084509$			?	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$10$	$584.201894616$
22.0.281...983.1	$x^{22} - 4 x^{21} + 6 x^{20} - 8 x^{19} + 15 x^{18} - 9 x^{17} - 28 x^{16} + 46 x^{15} - 14 x^{14} + 23 x^{13} + 13 x^{12} - 297 x^{11} + 488 x^{10} - 240 x^{9} + 28 x^{8} - 134 x^{7} + 194 x^{6} - 130 x^{5} + 72 x^{4} - 28 x^{3} + 8 x^{2} - 2 x + 1$	$22$	[0,11]	$-\,167^{11}$	$1$	$12.9228479833$	$12.922847983320086$		✓		$D_{11}$ (as 22T2)	trivial	$2$	$10$	$1029.39037079$
22.0.327...619.1	$x^{22} - x^{21} - 7 x^{19} + 8 x^{18} + 7 x^{17} + 17 x^{16} - 26 x^{15} - 35 x^{14} - 4 x^{13} + 68 x^{12} + 92 x^{11} + 10 x^{10} - 49 x^{9} - 27 x^{8} + 32 x^{7} + 57 x^{6} + 24 x^{5} - 13 x^{4} - 17 x^{3} - 3 x^{2} + 2 x + 1$	$22$	[0,11]	$-\,61\cdot 1279\cdot 1609^{2}\cdot 4025911^{2}$	$4$	$13.0112804134$	$22480724.15308682$			?	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$10$	$1054.33143917$
22.0.451...371.1	$x^{22} + 2 x^{20} - 5 x^{19} - 4 x^{18} - 9 x^{17} + 8 x^{16} + 16 x^{15} + 29 x^{14} - 7 x^{13} - 29 x^{12} - 55 x^{11} + 4 x^{10} + 37 x^{9} + 57 x^{8} - 3 x^{7} - 30 x^{6} - 33 x^{5} + 7 x^{4} + 12 x^{3} + 5 x^{2} - 3 x + 1$	$22$	[0,11]	$-\,11^{4}\cdot 181^{2}\cdot 101771\cdot 304099^{2}$	$4$	$13.2027018025$	$7849737.736003605$			?	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$10$	$1214.51296657$
22.0.625...347.1	$x^{22} - x^{20} - 4 x^{19} + 3 x^{18} + 3 x^{17} + 6 x^{16} - 9 x^{15} + x^{14} - 3 x^{13} + 9 x^{12} - 10 x^{11} + x^{10} - 2 x^{9} + 8 x^{8} - 5 x^{7} - x^{5} + 4 x^{4} - 2 x^{3} + x^{2} + 1$	$22$	[0,11]	$-\,3^{11}\cdot 12917^{2}\cdot 459847^{2}$	$3$	$13.3994085466$	$133489.8164542899$			?	$C_2\times S_{11}$ (as 22T47)	trivial	$6$	$10$	$4357.91042138$
22.0.629...867.1	$x^{22} - x^{21} - x^{19} + 3 x^{18} - 3 x^{17} - x^{16} + 5 x^{14} - 3 x^{13} - 2 x^{12} + x^{11} + 6 x^{10} - 4 x^{9} - 2 x^{8} - x^{7} + 5 x^{6} - 2 x^{5} - x^{4} - 2 x^{3} + x^{2} + x + 1$	$22$	[0,11]	$-\,3^{11}\cdot 64661^{2}\cdot 92179^{2}$	$3$	$13.4036147668$	$133720.45078072388$			?	$C_2\times S_{11}$ (as 22T47)	trivial	$6$	$10$	$4402.38521796$
22.2.412...237.1	$x^{22} - 7 x^{20} - 3 x^{19} + 17 x^{18} + 12 x^{17} - 15 x^{16} - 16 x^{15} - x^{14} - x^{13} - 28 x^{12} - 42 x^{11} + 3 x^{10} + 25 x^{9} - 16 x^{8} - 47 x^{7} - 35 x^{6} + 7 x^{5} + 16 x^{4} - 7 x^{3} - 5 x^{2} + 2 x + 1$	$22$	[2,10]	$1070197\cdot 6205948139^{2}$	$2$	$14.5989566434$	$81495932.90780456$			?	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$11$	$5727.32762159$
22.0.641...828.1	$x^{22} - x^{21} + 3 x^{20} - 7 x^{19} + 11 x^{18} - 18 x^{17} + 29 x^{16} - 40 x^{15} + 53 x^{14} - 67 x^{13} + 79 x^{12} - 87 x^{11} + 92 x^{10} - 90 x^{9} + 83 x^{8} - 73 x^{7} + 59 x^{6} - 43 x^{5} + 30 x^{4} - 18 x^{3} + 9 x^{2} - 4 x + 1$	$22$	[0,11]	$-\,2^{2}\cdot 2029\cdot 7909899338257898069783$	$3$	$14.8959694347$	$6359356409154.484$			✓	$S_{22}$ (as 22T59)	trivial	$2$	$10$	$9202.86473748$
22.0.753...875.1	$x^{22} - 4 x^{21} + 10 x^{20} - 22 x^{19} + 47 x^{18} - 79 x^{17} + 124 x^{16} - 169 x^{15} + 213 x^{14} - 229 x^{13} + 259 x^{12} - 192 x^{11} + 188 x^{10} - 90 x^{9} + 134 x^{8} - 14 x^{7} + 62 x^{6} - 19 x^{5} + 22 x^{4} - 12 x^{3} + 3 x^{2} - x + 1$	$22$	[0,11]	$-\,5^{4}\cdot 7^{6}\cdot 83^{5}\cdot 127^{4}$	$4$	$15.004814071$	$9662.20149052205$			?	$C_2^{11}.A_{11}$ (as 22T52)	trivial	$2$	$10$	$7059.77912901$
22.0.103...363.1	$x^{22} - 5 x^{21} + 15 x^{20} - 35 x^{19} + 68 x^{18} - 114 x^{17} + 170 x^{16} - 230 x^{15} + 285 x^{14} - 325 x^{13} + 343 x^{12} - 335 x^{11} + 306 x^{10} - 258 x^{9} + 202 x^{8} - 146 x^{7} + 97 x^{6} - 59 x^{5} + 32 x^{4} - 16 x^{3} + 7 x^{2} - 2 x + 1$	$22$	[0,11]	$-\,79\cdot 22109\cdot 59513372976908430233$	$3$	$15.2258766495$	$10195426027811.246$			?	$S_{22}$ (as 22T59)	trivial	$2$	$10$	$14889.9809115$
22.0.110...347.1	$x^{22} - 4 x^{19} + 4 x^{16} - 4 x^{15} + x^{14} - 6 x^{13} + 7 x^{12} - 3 x^{11} + 12 x^{10} + 2 x^{9} + 18 x^{8} + 4 x^{7} + 13 x^{6} + 5 x^{5} + 6 x^{4} + x^{3} + 4 x^{2} - x + 1$	$22$	[0,11]	$-\,3^{11}\cdot 971^{2}\cdot 25709231^{2}$	$3$	$15.2675894913$	$273662.18208404316$			?	$C_2\times S_{11}$ (as 22T47)	trivial	$6$	$10$	$18267.9467933$
22.2.147...704.1	$x^{22} - 2 x^{20} + 6 x^{18} - 14 x^{16} + 22 x^{14} - 31 x^{12} + 38 x^{10} - 34 x^{8} + 27 x^{6} - 17 x^{4} + 6 x^{2} - 1$	$22$	[2,10]	$2^{22}\cdot 12917^{2}\cdot 459847^{2}$	$3$	$15.4723042627$				?	$C_2^{10}.S_{11}$ (as 22T51)	trivial	$2$	$11$	$11319.5749854$
22.2.147...704.2	$x^{22} + x^{18} - 2 x^{16} - 2 x^{14} - x^{12} + 3 x^{8} + x^{6} + x^{4} - 1$	$22$	[2,10]	$2^{22}\cdot 12917^{2}\cdot 459847^{2}$	$3$	$15.4723042627$				✓	$C_2^{10}.S_{11}$ (as 22T51)	trivial	$2$	$11$	$10254.8559154$
22.2.178...033.1	$x^{22} - 11 x^{21} + 65 x^{20} - 265 x^{19} + 825 x^{18} - 2067 x^{17} + 4301 x^{16} - 7582 x^{15} + 11469 x^{14} - 15003 x^{13} + 17039 x^{12} - 16811 x^{11} + 14374 x^{10} - 10594 x^{9} + 6680 x^{8} - 3576 x^{7} + 1630 x^{6} - 656 x^{5} + 261 x^{4} - 113 x^{3} + 48 x^{2} - 15 x + 1$	$22$	[2,10]	$149\cdot 33797\cdot 64661^{2}\cdot 92179^{2}$	$4$	$15.6063233809$	$173248472.68320495$			✓	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$11$	$11377.8928745$
22.2.289...513.1	$x^{22} - x^{21} + x^{20} - 3 x^{19} + 3 x^{18} + x^{17} + 5 x^{16} - 4 x^{15} - 18 x^{14} + 11 x^{13} + 16 x^{12} + 32 x^{11} - 45 x^{10} - 81 x^{9} + 100 x^{8} + 75 x^{7} - 101 x^{6} - 41 x^{5} + 53 x^{4} + 15 x^{3} - 15 x^{2} - 4 x + 1$	$22$	[2,10]	$359753\cdot 28385393161^{2}$	$2$	$15.9524360191$	$101053106.56209058$			?	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$11$	$15832.2441917$
22.6.440...573.1	$x^{22} - 11 x^{21} + 64 x^{20} - 255 x^{19} + 770 x^{18} - 1857 x^{17} + 3688 x^{16} - 6146 x^{15} + 8690 x^{14} - 10480 x^{13} + 10777 x^{12} - 9386 x^{11} + 6807 x^{10} - 3960 x^{9} + 1680 x^{8} - 341 x^{7} - 170 x^{6} + 212 x^{5} - 109 x^{4} + 28 x^{3} + 3 x^{2} - 5 x + 1$	$22$	[6,8]	$37\cdot 163^{2}\cdot 14281\cdot 177106931^{2}$	$4$	$16.2585616162$	$123507051.11934274$			✓	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$13$	$42752.2517797$
22.0.492...744.1	$x^{22} + 2 x^{20} - 5 x^{18} - 22 x^{16} + 29 x^{14} + 153 x^{12} + 72 x^{10} - 195 x^{8} - 158 x^{6} + 66 x^{4} + 77 x^{2} + 11$	$22$	[0,11]	$-\,2^{18}\cdot 11^{5}\cdot 19^{4}\cdot 547^{4}$	$4$	$16.3415767174$				?	$C_2^{11}.A_{11}$ (as 22T52)	trivial	$2$	$10$	$19198.3237336$
22.0.577...104.1	$x^{22} - 2 x^{20} - 2 x^{19} + 5 x^{18} + 6 x^{17} - 5 x^{16} - 12 x^{15} + 2 x^{14} + 18 x^{13} + 4 x^{12} - 18 x^{11} - 11 x^{10} + 14 x^{9} + 14 x^{8} - 8 x^{7} - 11 x^{6} + 2 x^{5} + 8 x^{4} - 4 x^{2} + 1$	$22$	[0,11]	$-\,2^{30}\cdot 73^{2}\cdot 577\cdot 53149\cdot 3293113$	$5$	$16.4606320126$				✓	$S_{11}\wr C_2$ (as 22T57)	trivial	$4$	$10$	$65028.759848$
22.0.578...471.1	$x^{22} - 11 x^{21} + 67 x^{20} - 285 x^{19} + 929 x^{18} - 2433 x^{17} + 5271 x^{16} - 9630 x^{15} + 15091 x^{14} - 20633 x^{13} + 25057 x^{12} - 27453 x^{11} + 27302 x^{10} - 24426 x^{9} + 19254 x^{8} - 13050 x^{7} + 7570 x^{6} - 3890 x^{5} + 1921 x^{4} - 927 x^{3} + 362 x^{2} - 87 x + 9$	$22$	[0,11]	$-\,271^{11}$	$1$	$16.4620776332$	$16.46207763315433$		✓		$D_{11}$ (as 22T2)	trivial	$2$	$10$	$33482.7947011$
22.2.635...313.1	$x^{22} - x^{21} + 5 x^{20} - 8 x^{19} + 16 x^{18} - 27 x^{17} + 41 x^{16} - 61 x^{15} + 80 x^{14} - 104 x^{13} + 121 x^{12} - 138 x^{11} + 143 x^{10} - 142 x^{9} + 131 x^{8} - 112 x^{7} + 89 x^{6} - 64 x^{5} + 43 x^{4} - 24 x^{3} + 12 x^{2} - 4 x + 1$	$22$	[2,10]	$60821\cdot 1487459\cdot 7024799976319967$	$3$	$16.5319546621$	$25209617799123.895$			✓	$S_{22}$ (as 22T59)	trivial	$2$	$11$	$66805.8364906$
22.2.716...264.1	$x^{22} + 4 x^{20} + x^{18} - 20 x^{16} - 7 x^{14} + 93 x^{12} + 46 x^{10} - 121 x^{8} - 80 x^{6} - 34 x^{4} - 9 x^{2} - 1$	$22$	[2,10]	$2^{22}\cdot 11^{4}\cdot 19^{4}\cdot 547^{4}$	$4$	$16.6222822507$				?	$C_2^{10}.A_{11}$ (as 22T49)	trivial	$2$	$11$	$38833.928533$
22.2.890...989.1	$x^{22} - 2 x^{21} + 6 x^{20} - 10 x^{19} + 17 x^{18} - 21 x^{17} + 22 x^{16} - 15 x^{15} - 5 x^{14} + 38 x^{13} - 83 x^{12} + 135 x^{11} - 185 x^{10} + 221 x^{9} - 234 x^{8} + 222 x^{7} - 187 x^{6} + 138 x^{5} - 88 x^{4} + 47 x^{3} - 20 x^{2} + 6 x - 1$	$22$	[2,10]	$34092855421\cdot 26129523845912209$	$2$	$16.7876797584$	$29846776688584.93$			?	$S_{22}$ (as 22T59)	trivial	$2$	$11$	$58031.388562$
22.4.931...016.1	$x^{22} - 4 x^{21} + 5 x^{20} + 4 x^{19} - 26 x^{18} + 31 x^{17} + 15 x^{16} - 79 x^{15} + 76 x^{14} + 60 x^{13} - 153 x^{12} + 84 x^{11} + 83 x^{10} - 192 x^{9} + 24 x^{8} + 58 x^{7} - 150 x^{6} + 30 x^{5} + 19 x^{4} - 23 x^{3} + 6 x^{2} + 29 x + 1$	$22$	[4,9]	$-\,2^{12}\cdot 11^{7}\cdot 19^{4}\cdot 547^{4}$	$4$	$16.8215855911$	$1193.6702363351474$			?	$C_2^{11}.A_{11}$ (as 22T52)	trivial	$2$	$12$	$56735.8548792$
22.4.951...707.1	$x^{22} - 11 x^{21} + 66 x^{20} - 275 x^{19} + 879 x^{18} - 2268 x^{17} + 4871 x^{16} - 8878 x^{15} + 13903 x^{14} - 18847 x^{13} + 22192 x^{12} - 22691 x^{11} + 20056 x^{10} - 15173 x^{9} + 9644 x^{8} - 4974 x^{7} + 1932 x^{6} - 448 x^{5} - 27 x^{4} + 71 x^{3} - 24 x^{2} + x + 1$	$22$	[4,9]	$-\,139\cdot 1583^{2}\cdot 2731^{2}\cdot 6217^{2}\cdot 9473$	$5$	$16.8377853307$	$188123439.29282743$			✓	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$12$	$43108.9874663$
22.4.969...159.1	$x^{22} - x^{21} + 3 x^{20} + 3 x^{18} + 5 x^{17} + 7 x^{16} + 4 x^{15} + 12 x^{14} - 17 x^{13} - 35 x^{11} - 28 x^{10} - 29 x^{9} - 20 x^{8} - 6 x^{7} - 11 x^{6} - 26 x^{5} - 22 x^{4} - 11 x^{3} - 4 x^{2} + 9 x - 1$	$22$	[4,9]	$-\,173\cdot 7043\cdot 28208540809^{2}$	$3$	$16.8524111845$	$185392519.41428798$			?	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$12$	$42357.726741$
22.0.144...128.1	$x^{22} - 2 x^{20} - 2 x^{19} + 5 x^{18} + 6 x^{17} - 5 x^{16} - 12 x^{15} + 2 x^{14} + 18 x^{13} + 4 x^{12} - 18 x^{11} - 11 x^{10} + 14 x^{9} + 15 x^{8} - 8 x^{7} - 12 x^{6} + 2 x^{5} + 8 x^{4} - 4 x^{2} + 1$	$22$	[0,11]	$-\,2^{22}\cdot 10177\cdot 33765428299628041$	$3$	$17.1588716086$				✓	$S_{11}\wr C_2$ (as 22T57)	trivial	$4$	$10$	$148004.116661$
22.6.144...125.1	$x^{22} - 2 x^{21} - x^{20} + 18 x^{19} - 17 x^{18} - 44 x^{17} + 110 x^{16} - 3 x^{15} - 254 x^{14} + 59 x^{13} + 240 x^{12} - 102 x^{11} - 552 x^{10} - 230 x^{9} + 307 x^{8} + 320 x^{7} - 3 x^{6} - 154 x^{5} - 62 x^{4} + 18 x^{3} + 19 x^{2} + 2 x - 1$	$22$	[6,8]	$5^{11}\cdot 7^{4}\cdot 83^{4}\cdot 127^{4}$	$4$	$17.1621719232$	$2844.1679033165196$			?	$C_2\times A_{11}$ (as 22T46)	trivial	$2$	$13$	$95631.3345105$
22.4.153...375.1	$x^{22} - 2 x^{21} + 7 x^{20} - 20 x^{19} + 38 x^{18} - 74 x^{17} + 107 x^{16} - 167 x^{15} + 185 x^{14} - 284 x^{13} + 308 x^{12} - 417 x^{11} + 466 x^{10} - 462 x^{9} + 446 x^{8} - 292 x^{7} + 170 x^{6} - 55 x^{5} - 7 x^{4} + 11 x^{3} - 8 x^{2} + x + 1$	$22$	[4,9]	$-\,5^{4}\cdot 7^{4}\cdot 83^{5}\cdot 127^{4}\cdot 997$	$5$	$17.2071065975$	$187563.85877253$			?	$C_2^{11}.A_{11}$ (as 22T52)	trivial	$2$	$12$	$56909.7191275$
22.10.162...109.1	$x^{22} - 5 x^{21} + 4 x^{20} + 19 x^{19} - 39 x^{18} + 11 x^{17} - 8 x^{16} + 47 x^{15} + 183 x^{14} - 603 x^{13} + 274 x^{12} + 853 x^{11} - 1093 x^{10} - 146 x^{9} + 897 x^{8} - 256 x^{7} - 277 x^{6} + 109 x^{5} + 47 x^{4} - 10 x^{3} - 11 x^{2} + x + 1$	$22$	[10,6]	$29101\cdot 372881^{2}\cdot 633263^{2}$	$3$	$17.2515463588$	$82895535.3815753$			?	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$15$	$172549.025737$
22.2.172...125.1	$x^{22} + 3 x^{20} - 8 x^{19} - 13 x^{18} - 13 x^{17} - 10 x^{16} + 79 x^{15} + 45 x^{14} + 111 x^{13} + 59 x^{12} - 172 x^{11} + 31 x^{10} - 94 x^{9} - 96 x^{8} + 55 x^{7} - 26 x^{6} + x^{5} + 20 x^{4} - 4 x^{3} + 3 x^{2} - 1$	$22$	[2,10]	$5^{11}\cdot 12917^{2}\cdot 459847^{2}$	$3$	$17.29856205$	$172334.61200524983$			?	$C_2\times S_{11}$ (as 22T47)	trivial	$2$	$11$	$42078.318318$
22.2.173...125.1	$x^{22} - x^{21} + 2 x^{20} + x^{19} - 13 x^{18} + 3 x^{17} - 35 x^{16} - 18 x^{15} + 37 x^{14} + 27 x^{13} + 152 x^{12} + 277 x^{11} + 160 x^{10} + 72 x^{9} - 42 x^{8} - 69 x^{7} - 31 x^{6} - 22 x^{5} + 3 x^{4} + 4 x^{3} + x^{2} + x - 1$	$22$	[2,10]	$5^{11}\cdot 64661^{2}\cdot 92179^{2}$	$3$	$17.3039922569$	$172632.35964036407$			?	$C_2\times S_{11}$ (as 22T47)	trivial	$2$	$11$	$38336.3977164$
22.2.176...672.1	$x^{22} - 5 x^{21} + 17 x^{20} - 40 x^{19} + 70 x^{18} - 93 x^{17} + 99 x^{16} - 86 x^{15} + 53 x^{14} + 37 x^{13} - 283 x^{12} + 778 x^{11} - 1493 x^{10} + 2198 x^{9} - 2575 x^{8} + 2425 x^{7} - 1840 x^{6} + 1108 x^{5} - 512 x^{4} + 173 x^{3} - 33 x^{2} + x + 1$	$22$	[2,10]	$2^{16}\cdot 37^{5}\cdot 4441^{4}$	$3$	$17.3188364535$	$5527.862135514047$			?	$C_2^{11}.A_{11}$ (as 22T52)	trivial	$2$	$11$	$51691.3054088$
22.4.189...683.1	$x^{22} - x^{21} + x^{20} + x^{19} + x^{18} + 5 x^{17} - 11 x^{16} + 6 x^{15} + 19 x^{14} - 22 x^{13} - 4 x^{12} + 6 x^{11} + 13 x^{10} + 26 x^{9} - 75 x^{8} - 11 x^{7} + 101 x^{6} - 32 x^{5} - 59 x^{4} + 28 x^{3} + 15 x^{2} - 6 x - 1$	$22$	[4,9]	$-\,47147\cdot 200601609583^{2}$	$2$	$17.3745944722$	$97251036.43154505$			?	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$12$	$64048.1745685$
22.0.261...704.1	$x^{22} + 6 x^{20} + 16 x^{18} + 18 x^{16} + 4 x^{14} + 6 x^{12} + 25 x^{10} + 3 x^{8} - 19 x^{6} - 4 x^{4} + 4 x^{2} + 1$	$22$	[0,11]	$-\,2^{22}\cdot 971^{2}\cdot 25709231^{2}$	$3$	$17.6294938054$				?	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$10$	$24986.318925$
22.6.261...704.1	$x^{22} - 6 x^{20} + 16 x^{18} - 18 x^{16} + 4 x^{14} - 6 x^{12} + 25 x^{10} - 3 x^{8} - 19 x^{6} + 4 x^{4} + 4 x^{2} - 1$	$22$	[6,8]	$2^{22}\cdot 971^{2}\cdot 25709231^{2}$	$3$	$17.6294938054$				?	$C_2^{10}.S_{11}$ (as 22T51)	trivial	$2$	$13$	$107375.053215$
22.2.286...056.1	$x^{22} - 5 x^{20} + 9 x^{18} - 6 x^{16} - 12 x^{14} + 37 x^{12} - 45 x^{10} + 75 x^{8} - 54 x^{6} - 17 x^{4} + 44 x^{2} - 16$	$22$	[2,10]	$2^{24}\cdot 11^{4}\cdot 19^{4}\cdot 547^{4}$	$4$	$17.7034135973$					$C_2^{10}.A_{11}$ (as 22T49)	trivial	$2$	$11$	$97800.0774856$
22.0.298...003.1	$x^{22} - x^{21} - 4 x^{20} + 3 x^{19} + 11 x^{18} - 6 x^{17} - 18 x^{16} + 2 x^{15} + 26 x^{14} - 8 x^{13} - 18 x^{12} + 23 x^{11} + 12 x^{10} - 27 x^{9} - 30 x^{8} + 23 x^{7} + 19 x^{6} + 3 x^{5} + 5 x^{4} - 26 x^{3} + 8 x^{2} + 2 x + 1$	$22$	[0,11]	$-\,3^{11}\cdot 167^{10}$	$2$	$17.7372503584$	$22.38302928559939$				$D_{22}$ (as 22T3)	trivial	$6$	$10$	$138999.076948$
22.2.302...024.1	$x^{22} + 3 x^{20} - 11 x^{16} - 24 x^{14} - 24 x^{12} + x^{10} + 11 x^{8} - 9 x^{6} - 5 x^{4} + 5 x^{2} - 1$	$22$	[2,10]	$2^{22}\cdot 1583^{2}\cdot 2731^{2}\cdot 6217^{2}$	$4$	$17.7482593697$				✓	$C_2^{10}.S_{11}$ (as 22T51)	trivial	$2$	$11$	$45090.7591736$
22.6.302...024.1	$x^{22} - x^{18} - x^{16} - 2 x^{14} + x^{10} + 2 x^{8} + 2 x^{6} - 1$	$22$	[6,8]	$2^{22}\cdot 1583^{2}\cdot 2731^{2}\cdot 6217^{2}$	$4$	$17.7482593697$				✓	$C_2^{10}.S_{11}$ (as 22T51)	trivial	$2$	$13$	$118028.692249$
22.0.310...627.1	$x^{22} - 2 x^{21} + 4 x^{20} - 2 x^{18} + 9 x^{17} - 4 x^{16} + 6 x^{15} + 4 x^{14} - 2 x^{13} + 10 x^{12} + 7 x^{10} + 4 x^{9} + 2 x^{8} + 11 x^{7} + x^{6} + 3 x^{5} + 4 x^{4} + 2 x^{3} + 3 x^{2} - x + 1$	$22$	[0,11]	$-\,3^{11}\cdot 211441^{2}\cdot 625831^{2}$	$3$	$17.7672158985$	$630062.6932401251$			?	$C_2\times S_{11}$ (as 22T47)	trivial	$6$	$10$	$73023.7380593$
22.2.311...696.1	$x^{22} + 2 x^{16} - x^{14} - x^{12} + x^{10} + x^{8} - 2 x^{6} - x^{4} + 2 x^{2} - 1$	$22$	[2,10]	$2^{22}\cdot 1559^{2}\cdot 17480927^{2}$	$3$	$17.7706651762$				✓	$C_2^{10}.S_{11}$ (as 22T51)	trivial	$2$	$11$	$52464.2585693$
22.0.439...467.1	$x^{22} - x^{21} + 2 x^{20} + x^{19} + 2 x^{18} - x^{17} + 4 x^{15} - 6 x^{14} - 6 x^{13} - 3 x^{12} - x^{11} - 2 x^{10} - 8 x^{9} + 8 x^{8} + 5 x^{7} + 7 x^{6} + 8 x^{5} + 8 x^{4} + 6 x^{3} + 4 x^{2} + 2 x + 1$	$22$	[0,11]	$-\,3^{11}\cdot 19457^{2}\cdot 8095783^{2}$	$3$	$18.050953563$	$687429.2323526837$			?	$C_2\times S_{11}$ (as 22T47)	trivial	$6$	$10$	$136255.877931$
22.6.452...625.1	$x^{22} - 3 x^{21} - 5 x^{20} + 20 x^{19} + 6 x^{18} - 46 x^{17} - 22 x^{16} + 88 x^{15} + 102 x^{14} - 250 x^{13} - 116 x^{12} + 460 x^{11} - 50 x^{10} - 559 x^{9} + 321 x^{8} + 395 x^{7} - 287 x^{6} - 315 x^{5} + 200 x^{4} + 136 x^{3} + 14 x^{2} - 70 x + 5$	$22$	[6,8]	$5^{5}\cdot 7^{6}\cdot 83^{4}\cdot 127^{4}\cdot 997$	$5$	$18.0748826004$	$146075.47938051051$			?	$C_2^{11}.A_{11}$ (as 22T52)	trivial	$2$	$13$	$180581.627765$
22.2.107...089.1	$x^{22} - x^{21} + x^{20} - 11 x^{19} - 5 x^{18} + 22 x^{17} + 22 x^{16} + 62 x^{15} - 83 x^{14} - 148 x^{13} + 44 x^{12} + 72 x^{11} + 52 x^{10} + 25 x^{9} + 50 x^{8} - 75 x^{7} - 65 x^{6} + 60 x^{5} - 17 x^{3} + 17 x^{2} - 7 x + 1$	$22$	[2,10]	$167^{10}\cdot 639361$	$2$	$18.8028300461$	$10333.116035349647$			?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$11$	$116549.459796$
22.6.111...149.1	$x^{22} - 11 x^{21} + 44 x^{20} - 55 x^{19} - 111 x^{18} + 372 x^{17} - 61 x^{16} - 838 x^{15} + 563 x^{14} + 1153 x^{13} - 1030 x^{12} - 1191 x^{11} + 1050 x^{10} + 987 x^{9} - 634 x^{8} - 630 x^{7} + 192 x^{6} + 264 x^{5} - 3 x^{4} - 53 x^{3} - 10 x^{2} + x - 1$	$22$	[6,8]	$83\cdot 199\cdot 937\cdot 1583^{2}\cdot 2731^{2}\cdot 6217^{2}$	$6$	$18.8334111471$	$644951594.8448861$			✓	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$13$	$231636.713172$
22.0.131...371.1	$x^{22} + 44 x^{18} - 22 x^{17} + 55 x^{16} + 121 x^{15} + 187 x^{14} + 11 x^{13} + 594 x^{12} + 328 x^{11} + 836 x^{10} + 770 x^{9} + 814 x^{8} + 528 x^{7} + 374 x^{6} + 143 x^{5} + 11 x^{4} - 33 x^{3} - 11 x^{2} + 1$	$22$	[0,11]	$-\,11^{27}$	$1$	$18.970240678$	$20.6986330715433$			?	$F_{11}$ (as 22T4)	trivial	$2$	$10$	$302171.954912$
22.8.147...499.1	$x^{22} - 11 x^{21} + 44 x^{20} - 55 x^{19} - 112 x^{18} + 381 x^{17} - 87 x^{16} - 834 x^{15} + 674 x^{14} + 1020 x^{13} - 1213 x^{12} - 834 x^{11} + 1220 x^{10} + 511 x^{9} - 776 x^{8} - 247 x^{7} + 323 x^{6} + 85 x^{5} - 89 x^{4} - 18 x^{3} + 16 x^{2} + x - 1$	$22$	[8,7]	$-\,97\cdot 2381^{2}\cdot 2467\cdot 104446171^{2}$	$4$	$19.0750493033$	$243947516.5618645$			✓	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$14$	$439864.358869$
22.0.152...375.1	$x^{22} - 4 x^{21} + 18 x^{20} - 48 x^{19} + 125 x^{18} - 249 x^{17} + 478 x^{16} - 766 x^{15} + 1216 x^{14} - 1618 x^{13} + 2242 x^{12} - 2454 x^{11} + 2995 x^{10} - 2616 x^{9} + 2692 x^{8} - 1937 x^{7} + 1684 x^{6} - 1102 x^{5} + 757 x^{4} - 253 x^{3} + 163 x^{2} + 2 x + 1$	$22$	[0,11]	$-\,5^{4}\cdot 7^{11}\cdot 83^{4}\cdot 127^{4}$	$4$	$19.1015026172$	$2844.1679033165196$			?	$C_2\times A_{11}$ (as 22T46)	trivial	$2$	$10$	$69206.6233764$
22.6.184...625.1	$x^{22} - 7 x^{21} + 16 x^{20} - 3 x^{19} - 51 x^{18} + 101 x^{17} - 62 x^{16} - 50 x^{15} + 49 x^{14} + 124 x^{13} - 271 x^{12} + 166 x^{11} + 113 x^{10} - 102 x^{9} - 51 x^{8} - 34 x^{7} + 128 x^{6} - 78 x^{5} - 37 x^{4} + 36 x^{3} + 14 x^{2} - 8 x + 1$	$22$	[6,8]	$5^{4}\cdot 7^{4}\cdot 83^{4}\cdot 127^{4}\cdot 997^{2}$	$5$	$19.2655473485$	$89805.47415981455$			?	$C_2^{10}.A_{11}$ (as 22T49)	trivial	$2$	$13$	$416442.121837$