## Results (1-50 of 1132 matches)

Next   displayed columns for results
Label Polynomial Discriminant Galois group Class group
22.0.178...627.1 $x^{22} + 2 x^{20} + 5 x^{18} - x^{17} + 6 x^{16} - 3 x^{15} + 9 x^{14} - x^{13} + 7 x^{12} - 3 x^{11} + 13 x^{10} + 5 x^{8} + 3 x^{7} + 10 x^{6} + x^{4} + 4 x^{2} + 2 x + 1$ $-\,3^{11}\cdot 1003532779^{2}$ $C_2\times S_{11}$ (as 22T47) trivial
22.0.116...067.1 $x^{22} - 2 x^{21} + 6 x^{20} - 12 x^{19} + 22 x^{18} - 40 x^{17} + 62 x^{16} - 97 x^{15} + 138 x^{14} - 177 x^{13} + 216 x^{12} - 233 x^{11} + 238 x^{10} - 226 x^{9} + 195 x^{8} - 164 x^{7} + 124 x^{6} - 85 x^{5} + 55 x^{4} - 29 x^{3} + 13 x^{2} - 5 x + 1$ $-\,971^{2}\cdot 1867\cdot 25709231^{2}$ $C_2^{10}.(C_2\times S_{11})$ (as 22T53) trivial
22.0.281...983.1 $x^{22} - 4 x^{21} + 6 x^{20} - 8 x^{19} + 15 x^{18} - 9 x^{17} - 28 x^{16} + 46 x^{15} - 14 x^{14} + 23 x^{13} + 13 x^{12} - 297 x^{11} + 488 x^{10} - 240 x^{9} + 28 x^{8} - 134 x^{7} + 194 x^{6} - 130 x^{5} + 72 x^{4} - 28 x^{3} + 8 x^{2} - 2 x + 1$ $-\,167^{11}$ $D_{11}$ (as 22T2) trivial
22.0.327...619.1 $x^{22} - x^{21} - 7 x^{19} + 8 x^{18} + 7 x^{17} + 17 x^{16} - 26 x^{15} - 35 x^{14} - 4 x^{13} + 68 x^{12} + 92 x^{11} + 10 x^{10} - 49 x^{9} - 27 x^{8} + 32 x^{7} + 57 x^{6} + 24 x^{5} - 13 x^{4} - 17 x^{3} - 3 x^{2} + 2 x + 1$ $-\,61\cdot 1279\cdot 1609^{2}\cdot 4025911^{2}$ $C_2^{10}.(C_2\times S_{11})$ (as 22T53) trivial
22.0.451...371.1 $x^{22} + 2 x^{20} - 5 x^{19} - 4 x^{18} - 9 x^{17} + 8 x^{16} + 16 x^{15} + 29 x^{14} - 7 x^{13} - 29 x^{12} - 55 x^{11} + 4 x^{10} + 37 x^{9} + 57 x^{8} - 3 x^{7} - 30 x^{6} - 33 x^{5} + 7 x^{4} + 12 x^{3} + 5 x^{2} - 3 x + 1$ $-\,11^{4}\cdot 181^{2}\cdot 101771\cdot 304099^{2}$ $C_2^{10}.(C_2\times S_{11})$ (as 22T53) trivial
22.0.625...347.1 $x^{22} - x^{20} - 4 x^{19} + 3 x^{18} + 3 x^{17} + 6 x^{16} - 9 x^{15} + x^{14} - 3 x^{13} + 9 x^{12} - 10 x^{11} + x^{10} - 2 x^{9} + 8 x^{8} - 5 x^{7} - x^{5} + 4 x^{4} - 2 x^{3} + x^{2} + 1$ $-\,3^{11}\cdot 12917^{2}\cdot 459847^{2}$ $C_2\times S_{11}$ (as 22T47) trivial
22.0.629...867.1 $x^{22} - x^{21} - x^{19} + 3 x^{18} - 3 x^{17} - x^{16} + 5 x^{14} - 3 x^{13} - 2 x^{12} + x^{11} + 6 x^{10} - 4 x^{9} - 2 x^{8} - x^{7} + 5 x^{6} - 2 x^{5} - x^{4} - 2 x^{3} + x^{2} + x + 1$ $-\,3^{11}\cdot 64661^{2}\cdot 92179^{2}$ $C_2\times S_{11}$ (as 22T47) trivial
22.2.412...237.1 $x^{22} - 7 x^{20} - 3 x^{19} + 17 x^{18} + 12 x^{17} - 15 x^{16} - 16 x^{15} - x^{14} - x^{13} - 28 x^{12} - 42 x^{11} + 3 x^{10} + 25 x^{9} - 16 x^{8} - 47 x^{7} - 35 x^{6} + 7 x^{5} + 16 x^{4} - 7 x^{3} - 5 x^{2} + 2 x + 1$ $1070197\cdot 6205948139^{2}$ $C_2^{10}.(C_2\times S_{11})$ (as 22T53) trivial
22.0.641...828.1 $x^{22} - x^{21} + 3 x^{20} - 7 x^{19} + 11 x^{18} - 18 x^{17} + 29 x^{16} - 40 x^{15} + 53 x^{14} - 67 x^{13} + 79 x^{12} - 87 x^{11} + 92 x^{10} - 90 x^{9} + 83 x^{8} - 73 x^{7} + 59 x^{6} - 43 x^{5} + 30 x^{4} - 18 x^{3} + 9 x^{2} - 4 x + 1$ $-\,2^{2}\cdot 2029\cdot 7909899338257898069783$ $S_{22}$ (as 22T59) trivial
22.0.753...875.1 $x^{22} - 4 x^{21} + 10 x^{20} - 22 x^{19} + 47 x^{18} - 79 x^{17} + 124 x^{16} - 169 x^{15} + 213 x^{14} - 229 x^{13} + 259 x^{12} - 192 x^{11} + 188 x^{10} - 90 x^{9} + 134 x^{8} - 14 x^{7} + 62 x^{6} - 19 x^{5} + 22 x^{4} - 12 x^{3} + 3 x^{2} - x + 1$ $-\,5^{4}\cdot 7^{6}\cdot 83^{5}\cdot 127^{4}$ $C_2^{11}.A_{11}$ (as 22T52) trivial
22.0.103...363.1 $x^{22} - 5 x^{21} + 15 x^{20} - 35 x^{19} + 68 x^{18} - 114 x^{17} + 170 x^{16} - 230 x^{15} + 285 x^{14} - 325 x^{13} + 343 x^{12} - 335 x^{11} + 306 x^{10} - 258 x^{9} + 202 x^{8} - 146 x^{7} + 97 x^{6} - 59 x^{5} + 32 x^{4} - 16 x^{3} + 7 x^{2} - 2 x + 1$ $-\,79\cdot 22109\cdot 59513372976908430233$ $S_{22}$ (as 22T59) trivial
22.0.110...347.1 $x^{22} - 4 x^{19} + 4 x^{16} - 4 x^{15} + x^{14} - 6 x^{13} + 7 x^{12} - 3 x^{11} + 12 x^{10} + 2 x^{9} + 18 x^{8} + 4 x^{7} + 13 x^{6} + 5 x^{5} + 6 x^{4} + x^{3} + 4 x^{2} - x + 1$ $-\,3^{11}\cdot 971^{2}\cdot 25709231^{2}$ $C_2\times S_{11}$ (as 22T47) trivial
22.2.147...704.1 $x^{22} - 2 x^{20} + 6 x^{18} - 14 x^{16} + 22 x^{14} - 31 x^{12} + 38 x^{10} - 34 x^{8} + 27 x^{6} - 17 x^{4} + 6 x^{2} - 1$ $2^{22}\cdot 12917^{2}\cdot 459847^{2}$ $C_2^{10}.S_{11}$ (as 22T51) trivial
22.2.147...704.2 $x^{22} + x^{18} - 2 x^{16} - 2 x^{14} - x^{12} + 3 x^{8} + x^{6} + x^{4} - 1$ $2^{22}\cdot 12917^{2}\cdot 459847^{2}$ $C_2^{10}.S_{11}$ (as 22T51) trivial
22.2.178...033.1 $x^{22} - 11 x^{21} + 65 x^{20} - 265 x^{19} + 825 x^{18} - 2067 x^{17} + 4301 x^{16} - 7582 x^{15} + 11469 x^{14} - 15003 x^{13} + 17039 x^{12} - 16811 x^{11} + 14374 x^{10} - 10594 x^{9} + 6680 x^{8} - 3576 x^{7} + 1630 x^{6} - 656 x^{5} + 261 x^{4} - 113 x^{3} + 48 x^{2} - 15 x + 1$ $149\cdot 33797\cdot 64661^{2}\cdot 92179^{2}$ $C_2^{10}.(C_2\times S_{11})$ (as 22T53) trivial
22.2.289...513.1 $x^{22} - x^{21} + x^{20} - 3 x^{19} + 3 x^{18} + x^{17} + 5 x^{16} - 4 x^{15} - 18 x^{14} + 11 x^{13} + 16 x^{12} + 32 x^{11} - 45 x^{10} - 81 x^{9} + 100 x^{8} + 75 x^{7} - 101 x^{6} - 41 x^{5} + 53 x^{4} + 15 x^{3} - 15 x^{2} - 4 x + 1$ $359753\cdot 28385393161^{2}$ $C_2^{10}.(C_2\times S_{11})$ (as 22T53) trivial
22.6.440...573.1 $x^{22} - 11 x^{21} + 64 x^{20} - 255 x^{19} + 770 x^{18} - 1857 x^{17} + 3688 x^{16} - 6146 x^{15} + 8690 x^{14} - 10480 x^{13} + 10777 x^{12} - 9386 x^{11} + 6807 x^{10} - 3960 x^{9} + 1680 x^{8} - 341 x^{7} - 170 x^{6} + 212 x^{5} - 109 x^{4} + 28 x^{3} + 3 x^{2} - 5 x + 1$ $37\cdot 163^{2}\cdot 14281\cdot 177106931^{2}$ $C_2^{10}.(C_2\times S_{11})$ (as 22T53) trivial
22.0.492...744.1 $x^{22} + 2 x^{20} - 5 x^{18} - 22 x^{16} + 29 x^{14} + 153 x^{12} + 72 x^{10} - 195 x^{8} - 158 x^{6} + 66 x^{4} + 77 x^{2} + 11$ $-\,2^{18}\cdot 11^{5}\cdot 19^{4}\cdot 547^{4}$ $C_2^{11}.A_{11}$ (as 22T52) trivial
22.0.577...104.1 $x^{22} - 2 x^{20} - 2 x^{19} + 5 x^{18} + 6 x^{17} - 5 x^{16} - 12 x^{15} + 2 x^{14} + 18 x^{13} + 4 x^{12} - 18 x^{11} - 11 x^{10} + 14 x^{9} + 14 x^{8} - 8 x^{7} - 11 x^{6} + 2 x^{5} + 8 x^{4} - 4 x^{2} + 1$ $-\,2^{30}\cdot 73^{2}\cdot 577\cdot 53149\cdot 3293113$ $S_{11}\wr C_2$ (as 22T57) trivial
22.0.578...471.1 $x^{22} - 11 x^{21} + 67 x^{20} - 285 x^{19} + 929 x^{18} - 2433 x^{17} + 5271 x^{16} - 9630 x^{15} + 15091 x^{14} - 20633 x^{13} + 25057 x^{12} - 27453 x^{11} + 27302 x^{10} - 24426 x^{9} + 19254 x^{8} - 13050 x^{7} + 7570 x^{6} - 3890 x^{5} + 1921 x^{4} - 927 x^{3} + 362 x^{2} - 87 x + 9$ $-\,271^{11}$ $D_{11}$ (as 22T2) trivial
22.2.635...313.1 $x^{22} - x^{21} + 5 x^{20} - 8 x^{19} + 16 x^{18} - 27 x^{17} + 41 x^{16} - 61 x^{15} + 80 x^{14} - 104 x^{13} + 121 x^{12} - 138 x^{11} + 143 x^{10} - 142 x^{9} + 131 x^{8} - 112 x^{7} + 89 x^{6} - 64 x^{5} + 43 x^{4} - 24 x^{3} + 12 x^{2} - 4 x + 1$ $60821\cdot 1487459\cdot 7024799976319967$ $S_{22}$ (as 22T59) trivial
22.2.716...264.1 $x^{22} + 4 x^{20} + x^{18} - 20 x^{16} - 7 x^{14} + 93 x^{12} + 46 x^{10} - 121 x^{8} - 80 x^{6} - 34 x^{4} - 9 x^{2} - 1$ $2^{22}\cdot 11^{4}\cdot 19^{4}\cdot 547^{4}$ $C_2^{10}.A_{11}$ (as 22T49) trivial
22.2.890...989.1 $x^{22} - 2 x^{21} + 6 x^{20} - 10 x^{19} + 17 x^{18} - 21 x^{17} + 22 x^{16} - 15 x^{15} - 5 x^{14} + 38 x^{13} - 83 x^{12} + 135 x^{11} - 185 x^{10} + 221 x^{9} - 234 x^{8} + 222 x^{7} - 187 x^{6} + 138 x^{5} - 88 x^{4} + 47 x^{3} - 20 x^{2} + 6 x - 1$ $34092855421\cdot 26129523845912209$ $S_{22}$ (as 22T59) trivial
22.4.931...016.1 $x^{22} - 4 x^{21} + 5 x^{20} + 4 x^{19} - 26 x^{18} + 31 x^{17} + 15 x^{16} - 79 x^{15} + 76 x^{14} + 60 x^{13} - 153 x^{12} + 84 x^{11} + 83 x^{10} - 192 x^{9} + 24 x^{8} + 58 x^{7} - 150 x^{6} + 30 x^{5} + 19 x^{4} - 23 x^{3} + 6 x^{2} + 29 x + 1$ $-\,2^{12}\cdot 11^{7}\cdot 19^{4}\cdot 547^{4}$ $C_2^{11}.A_{11}$ (as 22T52) trivial
22.4.951...707.1 $x^{22} - 11 x^{21} + 66 x^{20} - 275 x^{19} + 879 x^{18} - 2268 x^{17} + 4871 x^{16} - 8878 x^{15} + 13903 x^{14} - 18847 x^{13} + 22192 x^{12} - 22691 x^{11} + 20056 x^{10} - 15173 x^{9} + 9644 x^{8} - 4974 x^{7} + 1932 x^{6} - 448 x^{5} - 27 x^{4} + 71 x^{3} - 24 x^{2} + x + 1$ $-\,139\cdot 1583^{2}\cdot 2731^{2}\cdot 6217^{2}\cdot 9473$ $C_2^{10}.(C_2\times S_{11})$ (as 22T53) trivial
22.4.969...159.1 $x^{22} - x^{21} + 3 x^{20} + 3 x^{18} + 5 x^{17} + 7 x^{16} + 4 x^{15} + 12 x^{14} - 17 x^{13} - 35 x^{11} - 28 x^{10} - 29 x^{9} - 20 x^{8} - 6 x^{7} - 11 x^{6} - 26 x^{5} - 22 x^{4} - 11 x^{3} - 4 x^{2} + 9 x - 1$ $-\,173\cdot 7043\cdot 28208540809^{2}$ $C_2^{10}.(C_2\times S_{11})$ (as 22T53) trivial
22.0.144...128.1 $x^{22} - 2 x^{20} - 2 x^{19} + 5 x^{18} + 6 x^{17} - 5 x^{16} - 12 x^{15} + 2 x^{14} + 18 x^{13} + 4 x^{12} - 18 x^{11} - 11 x^{10} + 14 x^{9} + 15 x^{8} - 8 x^{7} - 12 x^{6} + 2 x^{5} + 8 x^{4} - 4 x^{2} + 1$ $-\,2^{22}\cdot 10177\cdot 33765428299628041$ $S_{11}\wr C_2$ (as 22T57) trivial
22.6.144...125.1 $x^{22} - 2 x^{21} - x^{20} + 18 x^{19} - 17 x^{18} - 44 x^{17} + 110 x^{16} - 3 x^{15} - 254 x^{14} + 59 x^{13} + 240 x^{12} - 102 x^{11} - 552 x^{10} - 230 x^{9} + 307 x^{8} + 320 x^{7} - 3 x^{6} - 154 x^{5} - 62 x^{4} + 18 x^{3} + 19 x^{2} + 2 x - 1$ $5^{11}\cdot 7^{4}\cdot 83^{4}\cdot 127^{4}$ $C_2\times A_{11}$ (as 22T46) trivial
22.4.153...375.1 $x^{22} - 2 x^{21} + 7 x^{20} - 20 x^{19} + 38 x^{18} - 74 x^{17} + 107 x^{16} - 167 x^{15} + 185 x^{14} - 284 x^{13} + 308 x^{12} - 417 x^{11} + 466 x^{10} - 462 x^{9} + 446 x^{8} - 292 x^{7} + 170 x^{6} - 55 x^{5} - 7 x^{4} + 11 x^{3} - 8 x^{2} + x + 1$ $-\,5^{4}\cdot 7^{4}\cdot 83^{5}\cdot 127^{4}\cdot 997$ $C_2^{11}.A_{11}$ (as 22T52) trivial
22.10.162...109.1 $x^{22} - 5 x^{21} + 4 x^{20} + 19 x^{19} - 39 x^{18} + 11 x^{17} - 8 x^{16} + 47 x^{15} + 183 x^{14} - 603 x^{13} + 274 x^{12} + 853 x^{11} - 1093 x^{10} - 146 x^{9} + 897 x^{8} - 256 x^{7} - 277 x^{6} + 109 x^{5} + 47 x^{4} - 10 x^{3} - 11 x^{2} + x + 1$ $29101\cdot 372881^{2}\cdot 633263^{2}$ $C_2^{10}.(C_2\times S_{11})$ (as 22T53) trivial
22.2.172...125.1 $x^{22} + 3 x^{20} - 8 x^{19} - 13 x^{18} - 13 x^{17} - 10 x^{16} + 79 x^{15} + 45 x^{14} + 111 x^{13} + 59 x^{12} - 172 x^{11} + 31 x^{10} - 94 x^{9} - 96 x^{8} + 55 x^{7} - 26 x^{6} + x^{5} + 20 x^{4} - 4 x^{3} + 3 x^{2} - 1$ $5^{11}\cdot 12917^{2}\cdot 459847^{2}$ $C_2\times S_{11}$ (as 22T47) trivial
22.2.173...125.1 $x^{22} - x^{21} + 2 x^{20} + x^{19} - 13 x^{18} + 3 x^{17} - 35 x^{16} - 18 x^{15} + 37 x^{14} + 27 x^{13} + 152 x^{12} + 277 x^{11} + 160 x^{10} + 72 x^{9} - 42 x^{8} - 69 x^{7} - 31 x^{6} - 22 x^{5} + 3 x^{4} + 4 x^{3} + x^{2} + x - 1$ $5^{11}\cdot 64661^{2}\cdot 92179^{2}$ $C_2\times S_{11}$ (as 22T47) trivial
22.2.176...672.1 $x^{22} - 5 x^{21} + 17 x^{20} - 40 x^{19} + 70 x^{18} - 93 x^{17} + 99 x^{16} - 86 x^{15} + 53 x^{14} + 37 x^{13} - 283 x^{12} + 778 x^{11} - 1493 x^{10} + 2198 x^{9} - 2575 x^{8} + 2425 x^{7} - 1840 x^{6} + 1108 x^{5} - 512 x^{4} + 173 x^{3} - 33 x^{2} + x + 1$ $2^{16}\cdot 37^{5}\cdot 4441^{4}$ $C_2^{11}.A_{11}$ (as 22T52) trivial
22.4.189...683.1 $x^{22} - x^{21} + x^{20} + x^{19} + x^{18} + 5 x^{17} - 11 x^{16} + 6 x^{15} + 19 x^{14} - 22 x^{13} - 4 x^{12} + 6 x^{11} + 13 x^{10} + 26 x^{9} - 75 x^{8} - 11 x^{7} + 101 x^{6} - 32 x^{5} - 59 x^{4} + 28 x^{3} + 15 x^{2} - 6 x - 1$ $-\,47147\cdot 200601609583^{2}$ $C_2^{10}.(C_2\times S_{11})$ (as 22T53) trivial
22.0.261...704.1 $x^{22} + 6 x^{20} + 16 x^{18} + 18 x^{16} + 4 x^{14} + 6 x^{12} + 25 x^{10} + 3 x^{8} - 19 x^{6} - 4 x^{4} + 4 x^{2} + 1$ $-\,2^{22}\cdot 971^{2}\cdot 25709231^{2}$ $C_2^{10}.(C_2\times S_{11})$ (as 22T53) trivial
22.6.261...704.1 $x^{22} - 6 x^{20} + 16 x^{18} - 18 x^{16} + 4 x^{14} - 6 x^{12} + 25 x^{10} - 3 x^{8} - 19 x^{6} + 4 x^{4} + 4 x^{2} - 1$ $2^{22}\cdot 971^{2}\cdot 25709231^{2}$ $C_2^{10}.S_{11}$ (as 22T51) trivial
22.2.286...056.1 $x^{22} - 5 x^{20} + 9 x^{18} - 6 x^{16} - 12 x^{14} + 37 x^{12} - 45 x^{10} + 75 x^{8} - 54 x^{6} - 17 x^{4} + 44 x^{2} - 16$ $2^{24}\cdot 11^{4}\cdot 19^{4}\cdot 547^{4}$ $C_2^{10}.A_{11}$ (as 22T49) trivial
22.0.298...003.1 $x^{22} - x^{21} - 4 x^{20} + 3 x^{19} + 11 x^{18} - 6 x^{17} - 18 x^{16} + 2 x^{15} + 26 x^{14} - 8 x^{13} - 18 x^{12} + 23 x^{11} + 12 x^{10} - 27 x^{9} - 30 x^{8} + 23 x^{7} + 19 x^{6} + 3 x^{5} + 5 x^{4} - 26 x^{3} + 8 x^{2} + 2 x + 1$ $-\,3^{11}\cdot 167^{10}$ $D_{22}$ (as 22T3) trivial
22.2.302...024.1 $x^{22} + 3 x^{20} - 11 x^{16} - 24 x^{14} - 24 x^{12} + x^{10} + 11 x^{8} - 9 x^{6} - 5 x^{4} + 5 x^{2} - 1$ $2^{22}\cdot 1583^{2}\cdot 2731^{2}\cdot 6217^{2}$ $C_2^{10}.S_{11}$ (as 22T51) trivial
22.6.302...024.1 $x^{22} - x^{18} - x^{16} - 2 x^{14} + x^{10} + 2 x^{8} + 2 x^{6} - 1$ $2^{22}\cdot 1583^{2}\cdot 2731^{2}\cdot 6217^{2}$ $C_2^{10}.S_{11}$ (as 22T51) trivial
22.0.310...627.1 $x^{22} - 2 x^{21} + 4 x^{20} - 2 x^{18} + 9 x^{17} - 4 x^{16} + 6 x^{15} + 4 x^{14} - 2 x^{13} + 10 x^{12} + 7 x^{10} + 4 x^{9} + 2 x^{8} + 11 x^{7} + x^{6} + 3 x^{5} + 4 x^{4} + 2 x^{3} + 3 x^{2} - x + 1$ $-\,3^{11}\cdot 211441^{2}\cdot 625831^{2}$ $C_2\times S_{11}$ (as 22T47) trivial
22.2.311...696.1 $x^{22} + 2 x^{16} - x^{14} - x^{12} + x^{10} + x^{8} - 2 x^{6} - x^{4} + 2 x^{2} - 1$ $2^{22}\cdot 1559^{2}\cdot 17480927^{2}$ $C_2^{10}.S_{11}$ (as 22T51) trivial
22.0.439...467.1 $x^{22} - x^{21} + 2 x^{20} + x^{19} + 2 x^{18} - x^{17} + 4 x^{15} - 6 x^{14} - 6 x^{13} - 3 x^{12} - x^{11} - 2 x^{10} - 8 x^{9} + 8 x^{8} + 5 x^{7} + 7 x^{6} + 8 x^{5} + 8 x^{4} + 6 x^{3} + 4 x^{2} + 2 x + 1$ $-\,3^{11}\cdot 19457^{2}\cdot 8095783^{2}$ $C_2\times S_{11}$ (as 22T47) trivial
22.6.452...625.1 $x^{22} - 3 x^{21} - 5 x^{20} + 20 x^{19} + 6 x^{18} - 46 x^{17} - 22 x^{16} + 88 x^{15} + 102 x^{14} - 250 x^{13} - 116 x^{12} + 460 x^{11} - 50 x^{10} - 559 x^{9} + 321 x^{8} + 395 x^{7} - 287 x^{6} - 315 x^{5} + 200 x^{4} + 136 x^{3} + 14 x^{2} - 70 x + 5$ $5^{5}\cdot 7^{6}\cdot 83^{4}\cdot 127^{4}\cdot 997$ $C_2^{11}.A_{11}$ (as 22T52) trivial
22.2.107...089.1 $x^{22} - x^{21} + x^{20} - 11 x^{19} - 5 x^{18} + 22 x^{17} + 22 x^{16} + 62 x^{15} - 83 x^{14} - 148 x^{13} + 44 x^{12} + 72 x^{11} + 52 x^{10} + 25 x^{9} + 50 x^{8} - 75 x^{7} - 65 x^{6} + 60 x^{5} - 17 x^{3} + 17 x^{2} - 7 x + 1$ $167^{10}\cdot 639361$ $C_2^{10}.D_{22}$ (as 22T32) trivial
22.6.111...149.1 $x^{22} - 11 x^{21} + 44 x^{20} - 55 x^{19} - 111 x^{18} + 372 x^{17} - 61 x^{16} - 838 x^{15} + 563 x^{14} + 1153 x^{13} - 1030 x^{12} - 1191 x^{11} + 1050 x^{10} + 987 x^{9} - 634 x^{8} - 630 x^{7} + 192 x^{6} + 264 x^{5} - 3 x^{4} - 53 x^{3} - 10 x^{2} + x - 1$ $83\cdot 199\cdot 937\cdot 1583^{2}\cdot 2731^{2}\cdot 6217^{2}$ $C_2^{10}.(C_2\times S_{11})$ (as 22T53) trivial
22.0.131...371.1 $x^{22} + 44 x^{18} - 22 x^{17} + 55 x^{16} + 121 x^{15} + 187 x^{14} + 11 x^{13} + 594 x^{12} + 328 x^{11} + 836 x^{10} + 770 x^{9} + 814 x^{8} + 528 x^{7} + 374 x^{6} + 143 x^{5} + 11 x^{4} - 33 x^{3} - 11 x^{2} + 1$ $-\,11^{27}$ $F_{11}$ (as 22T4) trivial
22.8.147...499.1 $x^{22} - 11 x^{21} + 44 x^{20} - 55 x^{19} - 112 x^{18} + 381 x^{17} - 87 x^{16} - 834 x^{15} + 674 x^{14} + 1020 x^{13} - 1213 x^{12} - 834 x^{11} + 1220 x^{10} + 511 x^{9} - 776 x^{8} - 247 x^{7} + 323 x^{6} + 85 x^{5} - 89 x^{4} - 18 x^{3} + 16 x^{2} + x - 1$ $-\,97\cdot 2381^{2}\cdot 2467\cdot 104446171^{2}$ $C_2^{10}.(C_2\times S_{11})$ (as 22T53) trivial
22.0.152...375.1 $x^{22} - 4 x^{21} + 18 x^{20} - 48 x^{19} + 125 x^{18} - 249 x^{17} + 478 x^{16} - 766 x^{15} + 1216 x^{14} - 1618 x^{13} + 2242 x^{12} - 2454 x^{11} + 2995 x^{10} - 2616 x^{9} + 2692 x^{8} - 1937 x^{7} + 1684 x^{6} - 1102 x^{5} + 757 x^{4} - 253 x^{3} + 163 x^{2} + 2 x + 1$ $-\,5^{4}\cdot 7^{11}\cdot 83^{4}\cdot 127^{4}$ $C_2\times A_{11}$ (as 22T46) trivial
22.6.184...625.1 $x^{22} - 7 x^{21} + 16 x^{20} - 3 x^{19} - 51 x^{18} + 101 x^{17} - 62 x^{16} - 50 x^{15} + 49 x^{14} + 124 x^{13} - 271 x^{12} + 166 x^{11} + 113 x^{10} - 102 x^{9} - 51 x^{8} - 34 x^{7} + 128 x^{6} - 78 x^{5} - 37 x^{4} + 36 x^{3} + 14 x^{2} - 8 x + 1$ $5^{4}\cdot 7^{4}\cdot 83^{4}\cdot 127^{4}\cdot 997^{2}$ $C_2^{10}.A_{11}$ (as 22T49) trivial
Next   displayed columns for results