Number field search results

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

Results (1-50 of 102 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	$6$	$10$	$4402.38521796$
22.0.641...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	$6$	$10$	$18267.9467933$
22.0.492...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	$2$	$10$	$33482.7947011$
22.0.144...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	$4$	$10$	$148004.116661$
22.0.261...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	$2$	$10$	$24986.318925$
22.0.298...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	$6$	$10$	$138999.076948$
22.0.310...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	$6$	$10$	$73023.7380593$
22.0.439...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	$6$	$10$	$136255.877931$
22.0.131...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	$2$	$10$	$302171.954912$
22.0.152...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	$2$	$10$	$69206.6233764$
22.0.458...896.1	$x^{22} + 2 x^{20} + 3 x^{18} - 2 x^{16} - 7 x^{14} - 5 x^{12} + 4 x^{10} + 11 x^{8} - 2 x^{6} - 6 x^{4} + x^{2} + 1$	$22$	[0,11]	$-\,2^{28}\cdot 11^{4}\cdot 19^{4}\cdot 547^{4}$	$4$	$20.081203729$				?	$C_2\times A_{11}$ (as 22T46)	trivial	$4$	$10$	$460879.840354$
22.0.581...643.1	$x^{22} - 3 x^{11} + 3$	$22$	[0,11]	$-\,3^{21}\cdot 11^{18}$	$2$	$20.2993665386$	$24.69945335406008$			?	$C_2\times F_{11}$ (as 22T6)	trivial	$6$	$10$	$1362288.49255$
22.0.660...523.1	$x^{22} - x^{21} + 5 x^{20} + 2 x^{19} + 12 x^{18} + 13 x^{17} + 14 x^{16} + 63 x^{15} - 7 x^{14} + 68 x^{13} + 31 x^{12} + 19 x^{11} + 40 x^{10} - 71 x^{9} + 84 x^{8} - 79 x^{7} + 41 x^{6} - 38 x^{5} + 21 x^{4} - 11 x^{3} + 4 x^{2} - x + 1$	$22$	[0,11]	$-\,3^{11}\cdot 610429790897^{2}$	$2$	$20.4165358902$	$1353251.407791989$			?	$C_2\times S_{11}$ (as 22T47)	trivial	$6$	$10$	$399685.929551$
22.0.707...496.1	$x^{22} - 9 x^{20} + 37 x^{18} - 94 x^{16} + 166 x^{14} - 214 x^{12} + 207 x^{10} - 149 x^{8} + 81 x^{6} - 34 x^{4} + 12 x^{2} + 1$	$22$	[0,11]	$-\,2^{22}\cdot 167^{10}$	$2$	$20.4812125382$	$25.84569596664017$			?	$D_{22}$ (as 22T3)	trivial	$4$	$10$	$743434.07758$
22.0.707...496.2	$x^{22} + 3 x^{20} + 4 x^{18} + 4 x^{16} + 11 x^{14} + 10 x^{12} + 4 x^{10} + 12 x^{8} + 7 x^{6} + 6 x^{4} + 4 x^{2} + 1$	$22$	[0,11]	$-\,2^{22}\cdot 167^{10}$	$2$	$20.4812125382$				?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$10$	$290901.068764$
22.0.707...496.3	$x^{22} + x^{20} - 7 x^{18} - 6 x^{16} + 23 x^{14} + x^{12} - 24 x^{10} + 21 x^{8} - 17 x^{6} + 9 x^{4} - 2 x^{2} + 1$	$22$	[0,11]	$-\,2^{22}\cdot 167^{10}$	$2$	$20.4812125382$				?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$10$	$200949.419629$
22.0.707...496.4	$x^{22} - 3 x^{20} + 11 x^{18} - 22 x^{16} + 45 x^{14} - 62 x^{12} + 67 x^{10} - 46 x^{8} + 12 x^{6} + 6 x^{4} - 5 x^{2} + 1$	$22$	[0,11]	$-\,2^{22}\cdot 167^{10}$	$2$	$20.481212538204982$				?	$C_2^{10}.D_{22}$ (as 22T32)	trivial	$2$	$10$	$324083.01609232236$
22.0.734...664.1	$x^{22} + 13 x^{20} + 75 x^{18} + 255 x^{16} + 572 x^{14} + 895 x^{12} + 999 x^{10} + 790 x^{8} + 425 x^{6} + 140 x^{4} + 21 x^{2} + 1$	$22$	[0,11]	$-\,2^{22}\cdot 211441^{2}\cdot 625831^{2}$	$3$	$20.5158137635$				✓	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$10$	$131820.824712$
22.0.115...227.1	$x^{22} - 2 x^{21} + 5 x^{20} - 6 x^{19} + 10 x^{18} - 13 x^{17} + 3 x^{16} - 4 x^{15} - 15 x^{14} + 9 x^{13} - 23 x^{12} + 35 x^{11} + 5 x^{10} + 25 x^{9} + 40 x^{8} + 18 x^{7} + 38 x^{6} + 20 x^{4} - x^{3} + 6 x^{2} - x + 1$	$22$	[0,11]	$-\,3^{11}\cdot 43^{2}\cdot 547^{2}\cdot 34374601^{2}$	$4$	$20.944896254$	$1557425.7511557334$			?	$C_2\times S_{11}$ (as 22T47)	trivial	$6$	$10$	$583781.984765$
22.0.117...984.1	$x^{22} + 2 x^{20} - x^{16} - 7 x^{14} - 14 x^{12} - x^{10} + 9 x^{8} + 15 x^{6} + 22 x^{4} + 10 x^{2} + 1$	$22$	[0,11]	$-\,2^{22}\cdot 2089^{2}\cdot 79966751^{2}$	$3$	$20.9550593338$				?	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$10$	$229900.23166$
22.0.213...691.1	$x^{22} - 4 x^{21} + 7 x^{20} - 12 x^{19} + 24 x^{18} - 33 x^{17} + 48 x^{16} - 51 x^{15} + 12 x^{14} - 2 x^{13} + 44 x^{12} + 193 x^{11} - 198 x^{10} - 426 x^{9} + 168 x^{8} + 372 x^{7} + 15 x^{6} - 99 x^{5} - 36 x^{4} - 36 x^{3} - 9 x^{2} + 18 x + 9$	$22$	[0,11]	$-\,3^{20}\cdot 11^{19}$	$2$	$21.5343212171$	$23.496328849167636$			?	$F_{11}$ (as 22T4)	trivial	$2$	$10$	$1473183.5094$
22.0.335...163.1	$x^{22} - x + 1$	$22$	[0,11]	$-\,3697\cdot 90772326303985278570534379$	$2$	$21.9827464488$	$579297238337827.4$			✓	$S_{22}$ (as 22T59)	trivial	$2$	$10$	$685583.046278$
22.0.874...875.1	$x^{22} - 11 x^{21} + 55 x^{20} - 154 x^{19} + 220 x^{18} + 44 x^{17} - 913 x^{16} + 1991 x^{15} - 1958 x^{14} - 275 x^{13} + 3795 x^{12} - 5801 x^{11} + 4323 x^{10} - 517 x^{9} - 2475 x^{8} + 2772 x^{7} - 1188 x^{6} - 330 x^{5} + 803 x^{4} - 550 x^{3} + 209 x^{2} - 44 x + 4$	$22$	[0,11]	$-\,5^{10}\cdot 11^{23}$	$2$	$25.4942567152$	$29.928334099511996$			?	$C_2\times F_{11}$ (as 22T6)	trivial	$2$	$10$	$9094108.72092$
22.0.118...832.1	$x^{22} + 9 x^{20} + 37 x^{18} + 74 x^{16} + 22 x^{14} - 217 x^{12} - 442 x^{10} - 261 x^{8} + 291 x^{6} + 663 x^{4} + 501 x^{2} + 167$	$22$	[0,11]	$-\,2^{22}\cdot 167^{11}$	$2$	$25.8456959666$				?	$C_2^{10}.D_{11}$ (as 22T29)	trivial	$2$	$10$	$2715893.41308$
22.0.118...832.2	$x^{22} - 6 x^{20} + 19 x^{18} - 15 x^{16} - 90 x^{14} + 259 x^{12} - 217 x^{10} + 142 x^{8} - 495 x^{6} + 761 x^{4} - 501 x^{2} + 167$	$22$	[0,11]	$-\,2^{22}\cdot 167^{11}$	$2$	$25.8456959666$					$C_2^{10}.D_{11}$ (as 22T29)	trivial	$2$	$10$	$3187515.86093$
22.0.118...832.4	$x^{22} - 10 x^{20} + 53 x^{18} - 164 x^{16} + 331 x^{14} - 402 x^{12} + 191 x^{10} + 310 x^{8} - 747 x^{6} + 812 x^{4} - 501 x^{2} + 167$	$22$	[0,11]	$-\,2^{22}\cdot 167^{11}$	$2$	$25.84569596664017$				?	$C_2^{10}.D_{11}$ (as 22T29)	trivial	$2$	$10$	$3260196.2888900195$
22.0.133...083.1	$x^{22} - x^{21} + 8 x^{20} + x^{19} + 33 x^{18} + 20 x^{17} + 97 x^{16} + 111 x^{15} + 195 x^{14} + 258 x^{13} + 328 x^{12} + 369 x^{11} + 392 x^{10} + 323 x^{9} + 362 x^{8} + 155 x^{7} + 199 x^{6} + 67 x^{5} + 63 x^{4} + 12 x^{3} + 11 x^{2} + 2 x + 1$	$22$	[0,11]	$-\,3^{11}\cdot 8674315276967^{2}$	$2$	$25.9874596265$	$5101269.041219155$			?	$C_2\times S_{11}$ (as 22T47)	trivial	$6$	$10$	$6808139.27799$
22.0.134...816.1	$x^{22} + 12 x^{20} + 64 x^{18} + 200 x^{16} + 403 x^{14} + 544 x^{12} + 510 x^{10} + 358 x^{8} + 197 x^{6} + 73 x^{4} + 14 x^{2} + 1$	$22$	[0,11]	$-\,2^{22}\cdot 1792166448977^{2}$	$2$	$26.0000079857$				✓	$C_2^{10}.(C_2\times S_{11})$ (as 22T53)	trivial	$2$	$10$	$3155709.44058$
22.0.223...627.1	$x^{22} - 2 x^{21} + 3 x^{20} + 8 x^{19} - 22 x^{18} + 38 x^{17} - 4 x^{16} - 57 x^{15} + 146 x^{14} - 127 x^{13} + 42 x^{12} + 144 x^{11} - 154 x^{10} + 123 x^{9} - 19 x^{8} - 35 x^{7} + 41 x^{6} - 58 x^{5} + 35 x^{4} - 12 x^{3} + 7 x^{2} - 2 x + 1$	$22$	[0,11]	$-\,3^{11}\cdot 1831^{8}$	$2$	$26.606806584$	$74.11477585475112$			?	$C_2\times \PSL(2,11)$ (as 22T13)	trivial	$6$	$10$	$19742415.8494$
22.0.223...627.2	$x^{22} - 2 x^{21} + x^{20} - 10 x^{19} + 18 x^{18} + 2 x^{17} + 31 x^{16} - 76 x^{15} - 19 x^{14} - 8 x^{13} + 188 x^{12} - 50 x^{11} - 76 x^{10} - 135 x^{9} + 130 x^{8} + 29 x^{7} + 42 x^{6} - 76 x^{5} + 11 x^{4} - 8 x^{3} + 13 x^{2} - 4 x + 1$	$22$	[0,11]	$-\,3^{11}\cdot 1831^{8}$	$2$	$26.606806584$	$74.11477585475112$			?	$C_2\times \PSL(2,11)$ (as 22T13)	trivial	$6$	$10$	$19742415.8494$
22.0.191...811.1	$x^{22} - 11 x^{21} + 66 x^{20} - 275 x^{19} + 847 x^{18} - 1980 x^{17} + 3454 x^{16} - 4070 x^{15} + 1100 x^{14} + 9482 x^{13} - 30690 x^{12} + 60224 x^{11} - 77803 x^{10} + 49665 x^{9} + 48642 x^{8} - 188375 x^{7} + 271315 x^{6} - 233860 x^{5} + 132748 x^{4} - 52624 x^{3} + 14960 x^{2} - 2816 x + 256$	$22$	[0,11]	$-\,11^{31}$	$1$	$29.3370854252$	$29.33708542518522$		✓		$D_{11}$ (as 22T2)	trivial	$2$	$10$	$167976253.311$
22.0.349...016.1	$x^{22} - 2 x^{11} + 2$	$22$	[0,11]	$-\,2^{32}\cdot 11^{22}$	$2$	$30.1477216638$	$36.68253605613202$			✓	$C_2\times F_{11}$ (as 22T6)	trivial	$4$	$10$	$95678654.2598$
22.0.529...664.1	$x^{22} + 8 x^{20} + 29 x^{18} + 99 x^{16} + 222 x^{14} + 344 x^{12} + 382 x^{10} + 254 x^{8} + 145 x^{6} + 84 x^{4} + 32 x^{2} + 9$	$22$	[0,11]	$-\,2^{22}\cdot 1831^{8}$	$2$	$30.7228938871$				?	$C_2^{11}.\PSL(2,11)$ (as 22T42)	trivial	$2$	$10$	$42946834.6185$
22.0.529...664.2	$x^{22} + 5 x^{20} - 3 x^{18} - 2 x^{16} + 35 x^{14} - 32 x^{12} + 18 x^{10} + 19 x^{8} - 11 x^{6} + 5 x^{4} + 7 x^{2} + 1$	$22$	[0,11]	$-\,2^{22}\cdot 1831^{8}$	$2$	$30.7228938871$				?	$C_2^{11}.\PSL(2,11)$ (as 22T42)	trivial	$2$	$10$	$24495915.5862$
22.0.535...791.1	$x^{22} + 22 x^{20} + 209 x^{18} + 1122 x^{16} + 3740 x^{14} + 8008 x^{12} - x^{11} + 11011 x^{10} - 11 x^{9} + 9438 x^{8} - 44 x^{7} + 4719 x^{6} - 77 x^{5} + 1210 x^{4} - 55 x^{3} + 121 x^{2} - 11 x + 1$	$22$	[0,11]	$-\,3^{11}\cdot 11^{22}\cdot 13^{5}$	$3$	$34.1288972775$				✓	$D_{11}^2:C_{10}$ (as 22T20)	trivial	$6$	$10$	$417549198.5$
22.0.886...168.1	$x^{22} - 22 x^{20} + 209 x^{18} - 1122 x^{16} + 3740 x^{14} - 8008 x^{12} - 6 x^{11} + 11011 x^{10} + 66 x^{9} - 9438 x^{8} - 264 x^{7} + 4719 x^{6} + 462 x^{5} - 1210 x^{4} - 330 x^{3} + 121 x^{2} + 66 x + 10$	$22$	[0,11]	$-\,2^{32}\cdot 11^{18}\cdot 13^{5}$	$3$	$34.9204085572$				?	$D_{11}^2:C_{10}$ (as 22T20)	trivial	$4$	$10$	$496691031.606$
22.0.133...736.1	$x^{22} - 4 x + 4$	$22$	[0,11]	$-\,2^{22}\cdot 195359\cdot 16280669397912337149101$	$3$	$35.57491657$				?	$S_{22}$ (as 22T59)	trivial	$2$	$10$	$410347496.209$
22.0.615...816.1	$x^{22} - 11 x^{20} + 33 x^{18} - 66 x^{17} - 44 x^{16} + 308 x^{15} + 253 x^{14} - 44 x^{13} + 913 x^{12} + 1840 x^{11} + 1309 x^{10} - 814 x^{9} + 2904 x^{8} + 4752 x^{7} + 7117 x^{6} - 4004 x^{5} + 825 x^{4} - 44 x^{3} + 6721 x^{2} - 5434 x + 1644$	$22$	[0,11]	$-\,2^{36}\cdot 11^{23}$	$2$	$38.1349564411$					$\PGL(2,11)$ (as 22T14)	trivial	$2$	$10$	$984813482.893$
22.0.813...824.1	$x^{22} + 9$	$22$	[0,11]	$-\,2^{22}\cdot 3^{20}\cdot 11^{18}$	$3$	$38.62114556$	$46.99265769833527$			?	$C_2\times F_{11}$ (as 22T6)	trivial	$4$	$10$	$1426670983.37$