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Label Polynomial Discriminant Galois group Class group Regulator
14.0.37646150962065408.1 $x^{14} - x^{13} + 4 x^{12} - 5 x^{11} + 11 x^{10} - 14 x^{9} + 21 x^{8} - 33 x^{7} + 30 x^{6} - 29 x^{5} + 29 x^{4} - 8 x^{3} + 13 x^{2} - x + 1$ $-\,2^{12}\cdot 3^{13}\cdot 7^{8}$ $F_7 \times C_2$ (as 14T7) trivial $1542.90905517$
14.2.52986177566328125.1 $x^{14} - x^{7} - 1$ $5^{7}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $718.861902999$
14.0.74180648592859375.1 $x^{14} + 7 x^{10} + 14 x^{8} - x^{7} + 14 x^{6} - 7 x^{5} + 28 x^{4} + 21 x^{2} + 7 x + 2$ $-\,5^{6}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) trivial $1493.8575188$
14.0.74384733888000000.1 $x^{14} - 2 x^{13} - 2 x^{12} + 4 x^{11} + 10 x^{10} - 14 x^{9} - 18 x^{7} + 36 x^{6} - 8 x^{5} - 20 x^{4} + 16 x^{3} + 4 x^{2} - 8 x + 4$ $-\,2^{12}\cdot 3^{19}\cdot 5^{6}$ $F_7 \times C_2$ (as 14T7) trivial $2450.81199612$
14.0.113532395952801007.1 $x^{14} - x^{13} - 6 x^{12} + 8 x^{11} + 8 x^{10} - 26 x^{9} + 21 x^{8} + 29 x^{7} - 46 x^{6} + 20 x^{5} + 14 x^{4} - 20 x^{3} + 17 x^{2} - 11 x + 8$ $-\,7^{7}\cdot 13^{10}$ $F_7 \times C_2$ (as 14T7) trivial $1871.93059397$
14.2.123974556480000000.1 $x^{14} + x^{12} - 3 x^{10} + 5 x^{8} - x^{6} - 21 x^{4} + 19 x^{2} - 5$ $2^{12}\cdot 3^{18}\cdot 5^{7}$ $F_7 \times C_2$ (as 14T7) trivial $1179.35971353$
14.2.150584603848261632.1 $x^{14} - 2 x^{13} + 4 x^{12} - 4 x^{11} - x^{10} + 2 x^{9} - 12 x^{8} + 12 x^{7} + 3 x^{6} + 14 x^{5} + 20 x^{4} + 20 x^{3} + 10 x^{2} + 28 x + 1$ $2^{14}\cdot 3^{13}\cdot 7^{8}$ $F_7 \times C_2$ (as 14T7) trivial $2031.94626444$
14.0.169587644696673903.1 $x^{14} + 7 x^{12} - 14 x^{11} + 14 x^{10} + 21 x^{8} - 30 x^{7} + 21 x^{6} + 14 x^{4} - 14 x^{3} + 7 x^{2} + 1$ $-\,3^{6}\cdot 7^{17}$ $F_7 \times C_2$ (as 14T7) trivial $2353.90177773$
14.2.210845878198059013.1 $x^{14} - 7 x^{13} + 26 x^{12} - 62 x^{11} + 106 x^{10} - 140 x^{9} + 157 x^{8} - 154 x^{7} + 112 x^{6} - 16 x^{5} - 87 x^{4} + 122 x^{3} - 81 x^{2} + 28 x - 4$ $7^{6}\cdot 13^{11}$ $F_7 \times C_2$ (as 14T7) trivial $2236.51381899$
14.2.508762934090021709.1 $x^{14} - 14 x^{11} + 7 x^{10} + 14 x^{9} + 35 x^{8} - 23 x^{7} - 49 x^{6} + 28 x^{4} + 35 x^{3} + 21 x^{2} + 7 x + 1$ $3^{7}\cdot 7^{17}$ $F_7 \times C_2$ (as 14T7) trivial $3688.09150926$
14.0.711168436835713024.1 $x^{14} - 2 x^{7} + 2$ $-\,2^{20}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $6374.07113611$
14.0.108...227.1 $x^{14} - 3 x^{7} + 3$ $-\,3^{13}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $9520.74563767$
14.0.184...992.1 $x^{14} - 12 x^{7} + 48$ $-\,2^{12}\cdot 3^{13}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) trivial $16074.701635541314$
14.2.497...168.1 $x^{14} - 7 x^{12} + 21 x^{10} - 35 x^{8} - 2 x^{7} + 35 x^{6} + 14 x^{5} - 21 x^{4} - 14 x^{3} + 7 x^{2} - 14 x + 1$ $2^{20}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) trivial $17647.631860895413$
14.0.607...248.1 $x^{14} - 2 x^{7} + 4$ $-\,2^{12}\cdot 3^{7}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $22331.420181295558$
14.2.129...944.1 $x^{14} - x^{13} - 2 x^{12} + 7 x^{11} - 13 x^{10} - 26 x^{9} + 63 x^{8} + 39 x^{7} - 105 x^{6} + 4 x^{5} + 71 x^{4} - 77 x^{3} + 52 x^{2} - x - 17$ $2^{12}\cdot 3^{13}\cdot 7^{11}$ $F_7 \times C_2$ (as 14T7) trivial $25185.8302571253$
14.2.425...736.1 $x^{14} + 7 x^{12} + 35 x^{10} - 21 x^{8} - 280 x^{7} - 21 x^{6} + 784 x^{5} - 175 x^{4} - 728 x^{3} + 301 x^{2} + 196 x - 119$ $2^{12}\cdot 3^{7}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) trivial $34988.85210056418$
14.0.910...072.1 $x^{14} + 2$ $-\,2^{27}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $52742.7484317$
14.2.910...072.1 $x^{14} - 2$ $2^{27}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $47236.7354951$
14.0.157...984.1 $x^{14} - 6 x^{7} + 18$ $-\,2^{20}\cdot 3^{12}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) trivial $106429.85466886447$
14.2.217...000.1 $x^{14} - 58 x^{7} - 4$ $2^{12}\cdot 5^{7}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $47520.261363338$
14.2.472...952.1 $x^{14} - 48$ $2^{20}\cdot 3^{13}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) trivial $135906.15360692152$
14.0.637...504.1 $x^{14} + 14 x^{12} + 84 x^{10} + 280 x^{8} + 560 x^{6} + 672 x^{4} + 448 x^{2} + 126$ $-\,2^{27}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) $[4]$ $53594.45323843441$
14.2.637...504.1 $x^{14} - 14 x^{12} + 84 x^{10} - 280 x^{8} + 560 x^{6} - 672 x^{4} + 448 x^{2} - 126$ $2^{27}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) trivial $179329.79690024717$
14.2.827...125.1 $x^{14} - 5$ $5^{13}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $112266.433572$
14.2.110...888.1 $x^{14} - 16 x^{12} - 12 x^{11} + 90 x^{10} + 168 x^{9} + 4 x^{8} - 318 x^{7} - 418 x^{6} - 72 x^{5} + 36 x^{4} - 168 x^{3} + 52 x^{2} - 24 x + 2$ $2^{20}\cdot 3^{12}\cdot 7^{11}$ $F_7 \times C_2$ (as 14T7) trivial $294668.0157936516$
14.2.141...000.1 $x^{14} - 80$ $2^{12}\cdot 5^{13}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) trivial $124900.81966136963$
14.0.151...000.1 $x^{14} - 7 x^{13} + 14 x^{12} - 7 x^{11} + 91 x^{10} - 616 x^{9} + 1869 x^{8} - 3805 x^{7} + 6965 x^{6} - 13006 x^{5} + 20615 x^{4} - 24689 x^{3} + 22526 x^{2} - 15855 x + 8635$ $-\,2^{12}\cdot 5^{7}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) $[2]$ $98751.2336328229$
14.2.155...488.1 $x^{14} - 142 x^{7} - 2$ $2^{20}\cdot 3^{7}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $243699.72257084592$
14.0.330...664.1 $x^{14} + 12 x^{12} + 60 x^{10} + 132 x^{8} + 72 x^{6} - 60 x^{4} + 204 x^{2} + 84$ $-\,2^{20}\cdot 3^{13}\cdot 7^{11}$ $F_7 \times C_2$ (as 14T7) $[2, 2]$ $103197.03760026903$
14.0.442...792.1 $x^{14} - 24 x^{7} + 192$ $-\,2^{12}\cdot 3^{13}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $640199.801655173$
14.0.442...792.2 $x^{14} - 18 x^{7} + 108$ $-\,2^{12}\cdot 3^{13}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $669829.5016671207$
14.0.442...792.3 $x^{14} - 6 x^{7} + 36$ $-\,2^{12}\cdot 3^{13}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $811014.7014687202$
14.0.442...792.4 $x^{14} - 6 x^{7} + 12$ $-\,2^{12}\cdot 3^{13}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $610978.4586080052$
14.0.590...056.1 $x^{14} + 9$ $-\,2^{14}\cdot 3^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $762193.203376$
14.0.988...000.1 $x^{14} - 7 x^{13} + 34 x^{12} - 103 x^{11} + 271 x^{10} - 546 x^{9} + 977 x^{8} - 1399 x^{7} + 1723 x^{6} - 1766 x^{5} + 1549 x^{4} - 1183 x^{3} + 766 x^{2} - 307 x + 99$ $-\,2^{12}\cdot 5^{13}\cdot 7^{11}$ $F_7 \times C_2$ (as 14T7) $[2]$ $259554.75978982702$
14.0.108...416.1 $x^{14} + 21 x^{12} + 189 x^{10} + 945 x^{8} - 142 x^{7} + 2835 x^{6} - 630 x^{5} + 5103 x^{4} - 882 x^{3} + 5103 x^{2} - 378 x + 2185$ $-\,2^{20}\cdot 3^{7}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) $[2, 2]$ $185047.46669570895$
14.2.177...168.1 $x^{14} - 3$ $2^{14}\cdot 3^{13}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $1067288.86367$
14.0.201...952.1 $x^{14} + 18$ $-\,2^{27}\cdot 3^{12}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) trivial $866780.2677831949$
14.2.201...952.1 $x^{14} - 18$ $2^{27}\cdot 3^{12}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) trivial $1035375.5436490386$
14.2.310...544.1 $x^{14} - 7 x^{13} + 28 x^{12} - 77 x^{11} + 119 x^{10} + 112 x^{9} - 777 x^{8} + 1209 x^{7} - 777 x^{6} + 112 x^{5} + 119 x^{4} - 77 x^{3} + 28 x^{2} - 7 x + 1$ $2^{12}\cdot 3^{13}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) trivial $957280.5827536023$
14.2.310...544.2 $x^{14} - 7 x^{13} + 28 x^{12} - 77 x^{11} + 203 x^{10} - 476 x^{9} + 315 x^{8} + 1035 x^{7} - 1869 x^{6} + 532 x^{5} + 707 x^{4} - 413 x^{3} + 1666 x^{2} - 1645 x - 1097$ $2^{12}\cdot 3^{13}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) trivial $1049488.352113655$
14.2.310...544.3 $x^{14} - 7 x^{13} + 28 x^{12} - 77 x^{11} + 119 x^{10} - 14 x^{9} - 483 x^{8} + 1455 x^{7} - 2415 x^{6} + 2800 x^{5} - 2275 x^{4} + 1267 x^{3} - 434 x^{2} + 77 x - 5$ $2^{12}\cdot 3^{13}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) trivial $1270697.2154345987$
14.2.310...544.4 $x^{14} - 7 x^{13} + 28 x^{12} - 35 x^{11} - 7 x^{10} + 238 x^{9} - 21 x^{8} - 327 x^{7} + 2835 x^{6} - 4676 x^{5} + 4277 x^{4} - 1673 x^{3} - 3290 x^{2} + 5663 x + 2269$ $2^{12}\cdot 3^{13}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) trivial $1003064.560743214$
14.2.480...000.1 $x^{14} - 522 x^{7} - 324$ $2^{12}\cdot 3^{12}\cdot 5^{7}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) trivial $709188.6741093722$
14.0.530...127.1 $x^{14} - x^{12} - 3 x^{11} + 24 x^{10} - 39 x^{9} + 106 x^{8} + 69 x^{7} + 225 x^{6} - 123 x^{5} + 585 x^{4} - 290 x^{3} - 421 x^{2} + 89 x + 382$ $-\,7^{11}\cdot 173^{6}$ $F_7 \times C_2$ (as 14T7) $[14]$ $93324.5652468$
14.0.541...184.1 $x^{14} - 166 x^{7} + 8748$ $-\,2^{12}\cdot 7^{14}\cdot 11^{7}$ $F_7 \times C_2$ (as 14T7) trivial $1136742.842335415$
14.0.555...000.1 $x^{14} - 26 x^{7} + 4374$ $-\,2^{20}\cdot 5^{7}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) $[2]$ $760348.2153574894$
14.0.576...688.1 $x^{14} - 2 x^{13} + 13 x^{12} - 10 x^{11} + 83 x^{10} - 46 x^{9} + 336 x^{8} - 18 x^{7} + 789 x^{6} - 16 x^{5} + 1118 x^{4} + 344 x^{3} + 625 x^{2} - 92 x + 16$ $-\,2^{18}\cdot 3^{13}\cdot 13^{10}$ $F_7 \times C_2$ (as 14T7) $[7]$ $344206.360414$
14.0.604...856.1 $x^{14} + 864$ $-\,2^{27}\cdot 3^{13}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) $[2]$ $1028056.3071193497$
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