Learn more

Refine search


Results (1-50 of 480 matches)

Next   displayed columns for results
Label Polynomial Discriminant Galois group Class group Regulator
16.0.140...000.1 $x^{16} - 6 x^{15} + 10 x^{14} + 6 x^{13} - 38 x^{12} + 50 x^{11} - 22 x^{10} - 46 x^{9} + 120 x^{8} - 98 x^{7} - 18 x^{6} + 74 x^{5} - 30 x^{4} - 10 x^{3} + 14 x^{2} - 6 x + 1$ $2^{30}\cdot 5^{6}\cdot 17^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $824.262669302$
16.0.838...625.1 $x^{16} - 4 x^{15} + 7 x^{14} + 3 x^{13} - 26 x^{12} + 42 x^{11} + 15 x^{10} - 143 x^{9} + 305 x^{8} - 361 x^{7} + 297 x^{6} - 114 x^{5} - 20 x^{4} + 75 x^{3} - 17 x^{2} - 8 x + 19$ $5^{8}\cdot 11^{6}\cdot 59^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $516.752679802$
16.0.119...000.1 $x^{16} - 6 x^{15} + 16 x^{14} - 20 x^{13} + 4 x^{12} - 8 x^{11} + 104 x^{10} - 196 x^{9} + 44 x^{8} + 272 x^{7} - 316 x^{6} + 24 x^{5} + 168 x^{4} - 92 x^{3} - 4 x^{2} + 8 x + 2$ $2^{30}\cdot 5^{8}\cdot 13^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $2844.26103233$
16.0.720...625.1 $x^{16} - 3 x^{15} + 11 x^{14} - 17 x^{13} + 40 x^{12} - 37 x^{11} + 66 x^{10} + 25 x^{9} - 30 x^{8} + 254 x^{7} - 180 x^{6} + 443 x^{5} - 120 x^{4} + 127 x^{3} + 575 x^{2} - 527 x + 551$ $5^{8}\cdot 11^{6}\cdot 101^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $1992.93411513$
16.4.119...144.8 $x^{16} - x^{14} + 2 x^{12} + 6 x^{10} - 2 x^{8} - 25 x^{6} + 22 x^{4} - 8 x^{2} + 1$ $2^{34}\cdot 17^{8}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $9984.16466256$
16.0.119...144.23 $x^{16} + x^{14} + 2 x^{12} - 6 x^{10} - 2 x^{8} + 25 x^{6} + 22 x^{4} + 8 x^{2} + 1$ $2^{34}\cdot 17^{8}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $4533.82356311$
16.4.191...304.12 $x^{16} - 6 x^{14} + 18 x^{12} - 64 x^{10} + 153 x^{8} - 202 x^{6} + 132 x^{4} - 56 x^{2} + 16$ $2^{38}\cdot 17^{8}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $44195.8820557$
16.8.766...216.8 $x^{16} - 8 x^{14} + 46 x^{12} - 164 x^{10} + 269 x^{8} - 132 x^{6} - 68 x^{4} + 48 x^{2} + 4$ $2^{40}\cdot 17^{8}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $305927.181587$
16.4.766...216.13 $x^{16} + 8 x^{14} + 46 x^{12} + 164 x^{10} + 269 x^{8} + 132 x^{6} - 68 x^{4} - 48 x^{2} + 4$ $2^{40}\cdot 17^{8}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $138921.974081$
16.4.291...625.1 $x^{16} - 3 x^{15} + 2 x^{14} + 9 x^{13} - 31 x^{12} + 3 x^{11} + 34 x^{10} - 36 x^{9} + 127 x^{8} + 180 x^{7} - 65 x^{6} - 408 x^{5} - 607 x^{4} - 42 x^{3} + 455 x^{2} + 330 x + 76$ $5^{8}\cdot 11^{6}\cdot 59^{6}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $140891.765874$
16.0.450...625.1 $x^{16} - 5 x^{15} + 2 x^{14} + 43 x^{13} - 128 x^{12} - 8 x^{11} + 799 x^{10} - 1406 x^{9} - 1400 x^{8} + 7846 x^{7} - 4338 x^{6} - 18116 x^{5} + 22632 x^{4} + 15712 x^{3} - 34793 x^{2} - 1481 x + 22031$ $5^{12}\cdot 11^{6}\cdot 101^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $[2]$ $24556.9638247$
16.8.122...456.8 $x^{16} - 8 x^{14} - 12 x^{12} + 144 x^{10} - 138 x^{8} - 168 x^{6} + 148 x^{4} - 32 x^{2} + 1$ $2^{44}\cdot 17^{8}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $1354216.6112$
16.0.382...376.7 $x^{16} + 4 x^{12} - 16 x^{11} + 48 x^{10} + 256 x^{9} + 394 x^{8} + 352 x^{7} + 464 x^{6} + 640 x^{5} + 388 x^{4} + 80 x^{3} + 32 x^{2} + 3$ $2^{72}\cdot 3^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $829992.3002225896$
16.0.382...376.13 $x^{16} + 8 x^{14} + 52 x^{12} + 136 x^{10} + 298 x^{8} - 184 x^{6} + 28 x^{4} - 24 x^{2} + 9$ $2^{72}\cdot 3^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $887309.2305301145$
16.0.382...376.21 $x^{16} - 8 x^{14} + 52 x^{12} - 136 x^{10} + 298 x^{8} + 184 x^{6} + 28 x^{4} + 24 x^{2} + 9$ $2^{72}\cdot 3^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $474978.58190009545$
16.0.382...376.45 $x^{16} + 24 x^{12} - 80 x^{10} + 220 x^{8} - 320 x^{6} + 272 x^{4} - 96 x^{2} + 36$ $2^{72}\cdot 3^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $754380.7895771225$
16.0.382...376.48 $x^{16} + 24 x^{12} + 80 x^{10} + 220 x^{8} + 320 x^{6} + 272 x^{4} + 96 x^{2} + 36$ $2^{72}\cdot 3^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $371424.06147386925$
16.0.382...376.59 $x^{16} - 8 x^{14} + 44 x^{12} - 56 x^{10} + 22 x^{8} + 8 x^{6} + 12 x^{4} - 72 x^{2} + 81$ $2^{72}\cdot 3^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $272567.54886588524$
16.0.382...376.63 $x^{16} + 8 x^{14} + 44 x^{12} + 56 x^{10} + 22 x^{8} - 8 x^{6} + 12 x^{4} + 72 x^{2} + 81$ $2^{72}\cdot 3^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $2443758.1182320225$
16.0.382...376.88 $x^{16} - 20 x^{12} - 16 x^{11} + 32 x^{10} + 64 x^{9} + 138 x^{8} + 288 x^{7} + 448 x^{6} + 704 x^{5} + 1084 x^{4} + 1360 x^{3} + 1344 x^{2} + 864 x + 243$ $2^{72}\cdot 3^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $1504069.3268466603$
16.4.734...625.1 $x^{16} - 5 x^{15} + 16 x^{14} - 27 x^{13} + 35 x^{12} - 49 x^{11} + 115 x^{10} - 133 x^{9} + 104 x^{8} + 226 x^{7} + 129 x^{6} + 123 x^{5} - 777 x^{4} - 625 x^{3} - 252 x^{2} - 186 x + 29$ $5^{8}\cdot 11^{6}\cdot 101^{6}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $[2]$ $419764.529651$
16.4.105...625.1 $x^{16} - x^{15} - 3 x^{14} + 4 x^{13} - 66 x^{12} + 283 x^{11} - 862 x^{10} + 2229 x^{9} - 4913 x^{8} + 10813 x^{7} - 21199 x^{6} + 31801 x^{5} - 37510 x^{4} + 38582 x^{3} - 32884 x^{2} + 18613 x - 5099$ $5^{8}\cdot 11^{10}\cdot 101^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $515293.480259$
16.4.137...936.38 $x^{16} - 6 x^{12} - 108 x^{10} + 12 x^{8} + 144 x^{6} + 198 x^{4} - 324 x^{2} + 9$ $2^{58}\cdot 3^{14}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $2481725.9345702855$
16.0.137...936.39 $x^{16} - 18 x^{12} + 156 x^{10} - 60 x^{8} + 72 x^{6} + 18 x^{4} - 36 x^{2} + 9$ $2^{58}\cdot 3^{14}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $[2]$ $248303.09668854144$
16.4.137...936.44 $x^{16} - 12 x^{14} + 54 x^{12} - 120 x^{10} + 228 x^{8} - 396 x^{6} + 234 x^{4} - 72 x^{2} + 9$ $2^{58}\cdot 3^{14}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $1353042.385601354$
16.4.137...936.45 $x^{16} - 12 x^{14} + 54 x^{12} - 192 x^{10} + 372 x^{8} - 396 x^{6} + 234 x^{4} - 72 x^{2} + 9$ $2^{58}\cdot 3^{14}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $1268122.3988588962$
16.4.137...936.49 $x^{16} - 18 x^{12} + 12 x^{10} + 84 x^{8} - 144 x^{6} + 18 x^{4} - 36 x^{2} + 9$ $2^{58}\cdot 3^{14}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $1374633.9795292465$
16.0.137...936.51 $x^{16} - 18 x^{12} - 12 x^{10} + 84 x^{8} + 144 x^{6} + 18 x^{4} + 36 x^{2} + 9$ $2^{58}\cdot 3^{14}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $[2]$ $245393.70907202543$
16.0.137...936.52 $x^{16} + 12 x^{14} + 54 x^{12} + 120 x^{10} + 228 x^{8} + 396 x^{6} + 234 x^{4} + 72 x^{2} + 9$ $2^{58}\cdot 3^{14}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $[2]$ $226118.0149721296$
16.0.137...936.53 $x^{16} + 12 x^{14} + 54 x^{12} + 192 x^{10} + 372 x^{8} + 396 x^{6} + 234 x^{4} + 72 x^{2} + 9$ $2^{58}\cdot 3^{14}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $[2]$ $257106.81279014394$
16.4.137...936.59 $x^{16} - 18 x^{12} - 156 x^{10} - 60 x^{8} - 72 x^{6} + 18 x^{4} + 36 x^{2} + 9$ $2^{58}\cdot 3^{14}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $979071.7574953918$
16.0.137...936.59 $x^{16} - 6 x^{12} + 108 x^{10} + 12 x^{8} - 144 x^{6} + 198 x^{4} + 324 x^{2} + 9$ $2^{58}\cdot 3^{14}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $[2]$ $485796.44683702366$
16.4.137...936.86 $x^{16} + 18 x^{12} - 108 x^{10} + 132 x^{8} - 72 x^{6} + 270 x^{4} - 324 x^{2} + 81$ $2^{58}\cdot 3^{14}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $2242946.93901231$
16.0.137...936.88 $x^{16} + 18 x^{12} + 108 x^{10} + 132 x^{8} + 72 x^{6} + 270 x^{4} + 324 x^{2} + 81$ $2^{58}\cdot 3^{14}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $[2]$ $460598.18765467015$
16.4.137...936.100 $x^{16} - 12 x^{14} + 60 x^{12} - 168 x^{10} + 240 x^{8} - 72 x^{6} - 216 x^{4} + 324$ $2^{58}\cdot 3^{14}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $2276961.511301873$
16.0.137...936.103 $x^{16} + 12 x^{14} + 60 x^{12} + 168 x^{10} + 240 x^{8} + 72 x^{6} - 216 x^{4} + 324$ $2^{58}\cdot 3^{14}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $[2]$ $509444.7861958445$
16.4.137...936.107 $x^{16} - 12 x^{14} + 66 x^{12} - 264 x^{10} + 852 x^{8} - 1836 x^{6} + 2430 x^{4} - 1944 x^{2} + 729$ $2^{58}\cdot 3^{14}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $2012493.2920678623$
16.0.137...936.116 $x^{16} + 12 x^{14} + 66 x^{12} + 264 x^{10} + 852 x^{8} + 1836 x^{6} + 2430 x^{4} + 1944 x^{2} + 729$ $2^{58}\cdot 3^{14}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $[2]$ $404522.41179347207$
16.0.153...504.14 $x^{16} - 8 x^{14} + 68 x^{12} - 152 x^{10} + 74 x^{8} + 280 x^{6} + 76 x^{4} - 24 x^{2} + 9$ $2^{74}\cdot 3^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $1053884.258920766$
16.0.153...504.27 $x^{16} + 8 x^{14} + 68 x^{12} + 152 x^{10} + 74 x^{8} - 280 x^{6} + 76 x^{4} + 24 x^{2} + 9$ $2^{74}\cdot 3^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $2070508.490023738$
16.0.153...504.47 $x^{16} + 8 x^{14} - 16 x^{13} + 28 x^{12} - 48 x^{11} + 72 x^{10} - 192 x^{9} + 494 x^{8} - 992 x^{7} + 1672 x^{6} - 2000 x^{5} + 1724 x^{4} - 1168 x^{3} + 600 x^{2} - 192 x + 27$ $2^{74}\cdot 3^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $4716493.83739645$
16.0.153...504.64 $x^{16} - 8 x^{14} - 16 x^{13} + 4 x^{12} + 48 x^{11} + 136 x^{10} + 192 x^{9} + 78 x^{8} - 224 x^{7} - 248 x^{6} + 176 x^{5} + 628 x^{4} + 208 x^{3} + 136 x^{2} + 160 x + 43$ $2^{74}\cdot 3^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $582997.2430298402$
16.0.153...504.74 $x^{16} - 8 x^{14} + 28 x^{12} - 56 x^{10} + 118 x^{8} - 248 x^{6} + 252 x^{4} - 72 x^{2} + 81$ $2^{74}\cdot 3^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $1507213.6887836482$
16.0.153...504.79 $x^{16} + 8 x^{14} + 28 x^{12} + 56 x^{10} + 118 x^{8} + 248 x^{6} + 252 x^{4} + 72 x^{2} + 81$ $2^{74}\cdot 3^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $2896695.843438381$
16.0.153...504.109 $x^{16} - 8 x^{14} + 44 x^{12} - 152 x^{10} + 474 x^{8} - 840 x^{6} + 1316 x^{4} - 1080 x^{2} + 729$ $2^{74}\cdot 3^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $767354.5699436041$
16.0.153...504.114 $x^{16} + 8 x^{14} + 44 x^{12} + 152 x^{10} + 474 x^{8} + 840 x^{6} + 1316 x^{4} + 1080 x^{2} + 729$ $2^{74}\cdot 3^{4}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $1652856.786291668$
16.0.344...384.16 $x^{16} - 80 x^{10} + 324 x^{8} - 256 x^{6} + 128 x^{4} - 32 x^{2} + 4$ $2^{72}\cdot 3^{6}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $935765.5883943298$
16.0.344...384.19 $x^{16} - 8 x^{14} - 16 x^{12} + 128 x^{10} + 324 x^{8} - 80 x^{6} + 96 x^{4} + 4$ $2^{72}\cdot 3^{6}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $803127.0001557126$
16.0.344...384.20 $x^{16} + 8 x^{14} - 16 x^{12} - 128 x^{10} + 324 x^{8} + 80 x^{6} + 96 x^{4} + 4$ $2^{72}\cdot 3^{6}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $1729909.4375094408$
16.0.344...384.23 $x^{16} + 80 x^{10} + 324 x^{8} + 256 x^{6} + 128 x^{4} + 32 x^{2} + 4$ $2^{72}\cdot 3^{6}$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) trivial $1900586.5711305805$
Next   displayed columns for results