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Label Polynomial Discriminant Galois group Class group Regulator
14.0.50194867949420544.1 $x^{14} - 4 x^{13} + 11 x^{12} - 14 x^{11} + 5 x^{10} + 20 x^{9} - 37 x^{8} + 10 x^{7} + 70 x^{6} - 154 x^{5} + 184 x^{4} - 146 x^{3} + 79 x^{2} - 28 x + 5$ $-\,2^{14}\cdot 3^{12}\cdot 7^{8}$ $F_7$ (as 14T4) trivial $1773.04185425$
14.0.146081389744226304.1 $x^{14} - 2 x^{13} + 2 x^{12} + 8 x^{11} - 7 x^{10} - 14 x^{9} + 38 x^{8} - 16 x^{7} - 35 x^{6} + 46 x^{5} - 2 x^{4} - 40 x^{3} + 37 x^{2} - 14 x + 2$ $-\,2^{38}\cdot 3^{12}$ $\PGL(2,7)$ (as 14T16) trivial $7065.07089747$
14.0.252...863.1 $x^{14} + 7 x^{12} + 21 x^{10} + 35 x^{8} - 3 x^{7} + 56 x^{6} - 63 x^{5} + 126 x^{4} - 105 x^{3} + 70 x^{2} - 21 x + 4$ $-\,3^{12}\cdot 7^{15}$ $F_7$ (as 14T4) trivial $13640.3986613$
14.0.430...648.1 $x^{14} - 7 x^{13} + 11 x^{12} + 25 x^{11} - 79 x^{10} - x^{9} + 191 x^{8} - 197 x^{7} + 4 x^{6} + 98 x^{5} - 20 x^{4} - 62 x^{3} + 52 x^{2} - 16 x + 2$ $-\,2^{12}\cdot 3^{12}\cdot 7^{11}$ $F_7$ (as 14T4) trivial $15666.333906202328$
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 $106429.85466886447$
14.0.445...899.1 $x^{14} + 7 x^{12} + 21 x^{10} + 35 x^{8} + 35 x^{6} + 21 x^{4} + 7 x^{2} - 3 x + 1$ $-\,3^{12}\cdot 8386130866227739$ $S_{14}$ (as 14T63) trivial $138979.047016$
14.0.590...056.1 $x^{14} + 9$ $-\,2^{14}\cdot 3^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $762193.203376$
14.0.103...848.1 $x^{14} - 78 x^{7} + 4608$ $-\,2^{12}\cdot 3^{12}\cdot 7^{15}$ $F_7$ (as 14T4) trivial $776464.7688045698$
14.0.103...848.2 $x^{14} + 336 x^{8} - 1512 x^{6} + 2772 x^{4} + 252 x^{2} + 252$ $-\,2^{12}\cdot 3^{12}\cdot 7^{15}$ $F_7$ (as 14T4) trivial $608453.4844585828$
14.0.103...848.3 $x^{14} - 7 x^{13} + 35 x^{12} - 119 x^{11} + 329 x^{10} - 721 x^{9} + 1337 x^{8} - 2021 x^{7} + 2590 x^{6} - 3640 x^{5} + 4732 x^{4} - 1484 x^{3} - 1652 x^{2} + 308 x + 428$ $-\,2^{12}\cdot 3^{12}\cdot 7^{15}$ $F_7$ (as 14T4) trivial $857106.4931948133$
14.0.103...848.4 $x^{14} + 7 x^{12} + 105 x^{10} - 168 x^{9} + 455 x^{8} - 480 x^{7} + 539 x^{6} - 252 x^{5} + 441 x^{4} - 504 x^{3} + 1939 x^{2} - 2100 x + 1117$ $-\,2^{12}\cdot 3^{12}\cdot 7^{15}$ $F_7$ (as 14T4) trivial $586605.1191605367$
14.2.201...952.1 $x^{14} - 18$ $2^{27}\cdot 3^{12}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) trivial $1035375.5436490386$
14.2.480...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 $709188.6741093722$
14.2.141...664.1 $x^{14} + 10 x^{12} + 72 x^{10} + 272 x^{8} + 704 x^{6} + 768 x^{4} + 64 x^{2} - 224$ $2^{27}\cdot 3^{12}\cdot 7^{11}$ $F_7 \times C_2$ (as 14T7) trivial $2947126.0789506277$
14.14.153...168.1 $x^{14} - 2 x^{13} - 31 x^{12} + 56 x^{11} + 314 x^{10} - 584 x^{9} - 1306 x^{8} + 2870 x^{7} + 1747 x^{6} - 6530 x^{5} + 1987 x^{4} + 4874 x^{3} - 4973 x^{2} + 1816 x - 238$ $2^{21}\cdot 3^{12}\cdot 13^{10}$ $F_7 \times C_2$ (as 14T7) trivial $26761483.3151$
14.0.377...584.1 $x^{14} + 36$ $-\,2^{20}\cdot 3^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $4809728.207148685$
14.0.377...584.2 $x^{14} + 576$ $-\,2^{20}\cdot 3^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $4742970.173212643$
14.0.377...584.3 $x^{14} - 24 x^{7} + 288$ $-\,2^{20}\cdot 3^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) $[7]$ $712886.8378794853$
14.0.377...584.4 $x^{14} + 144$ $-\,2^{20}\cdot 3^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $7541506.036420567$
14.2.483...752.1 $x^{14} - 4608$ $2^{27}\cdot 3^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $35271750.504034616$
14.2.483...752.2 $x^{14} - 2592$ $2^{27}\cdot 3^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $38091631.261710025$
14.2.483...752.3 $x^{14} - 288$ $2^{27}\cdot 3^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $35688411.81772631$
14.2.483...752.4 $x^{14} - 162$ $2^{27}\cdot 3^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $33930963.24632405$
14.2.838...808.1 $x^{14} - 3 x^{13} + 18 x^{12} - 75 x^{11} + 243 x^{10} - 1050 x^{9} - 4659 x^{8} + 19779 x^{7} - 27675 x^{6} + 175446 x^{5} + 31257 x^{4} - 1629999 x^{3} + 2490912 x^{2} - 1485693 x + 54279$ $2^{12}\cdot 3^{12}\cdot 7^{11}\cdot 11^{7}$ $F_7 \times C_2$ (as 14T7) $[2]$ $20851980.295041185$
14.2.860...000.1 $x^{14} - 2 x^{13} + 20 x^{12} + 32 x^{11} + 134 x^{10} + 532 x^{9} + 2480 x^{8} + 188 x^{7} + 10504 x^{6} + 38524 x^{5} + 122428 x^{4} - 55096 x^{3} - 90116 x^{2} + 1765960 x + 300596$ $2^{20}\cdot 3^{12}\cdot 5^{7}\cdot 7^{11}$ $F_7 \times C_2$ (as 14T7) $[2]$ $37338893.20891557$
14.2.115...000.1 $x^{14} - 174 x^{7} - 36$ $2^{12}\cdot 3^{12}\cdot 5^{7}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $35571788.32959066$
14.2.115...000.2 $x^{14} - 7 x^{13} + 14 x^{12} + 7 x^{11} - 49 x^{10} + 14 x^{9} + 77 x^{8} + 355 x^{7} - 1421 x^{6} + 12110 x^{5} - 26831 x^{4} + 47047 x^{3} - 44366 x^{2} + 24185 x + 31295$ $2^{12}\cdot 3^{12}\cdot 5^{7}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $38929705.374924675$
14.2.115...000.3 $x^{14} - 696 x^{7} - 576$ $2^{12}\cdot 3^{12}\cdot 5^{7}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $37225757.25441671$
14.2.115...000.4 $x^{14} - 348 x^{7} - 144$ $2^{12}\cdot 3^{12}\cdot 5^{7}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $57673912.79912596$
14.2.127...776.1 $x^{14} - 2 x^{13} - 23 x^{12} + 92 x^{11} - 124 x^{10} + 200 x^{9} - 348 x^{8} + 1188 x^{7} - 4827 x^{6} + 7994 x^{5} - 5083 x^{4} + 4484 x^{3} - 9575 x^{2} - 1658 x - 10607$ $2^{27}\cdot 3^{12}\cdot 13^{11}$ $C_2^6:F_7$ (as 14T40) $[2, 4]$ $6671455.421958637$
14.2.252...872.1 $x^{14} - 7 x^{13} - 7 x^{12} + 133 x^{11} - 49 x^{10} - 1141 x^{9} + 707 x^{8} + 5731 x^{7} - 2702 x^{6} - 21658 x^{5} + 11326 x^{4} + 3178 x^{3} + 45346 x^{2} - 66094 x - 3442$ $2^{12}\cdot 3^{12}\cdot 7^{10}\cdot 17^{7}$ $F_7 \times C_2$ (as 14T7) trivial $127212203.73823108$
14.0.270...016.1 $x^{14} - 3 x^{13} + 69 x^{11} - 135 x^{10} - 3390 x^{9} - 4011 x^{8} + 24747 x^{7} + 160839 x^{6} + 299538 x^{5} + 391869 x^{4} + 453861 x^{3} + 1359666 x^{2} + 2928159 x + 3727305$ $-\,2^{12}\cdot 3^{12}\cdot 7^{11}\cdot 13^{7}$ $F_7 \times C_2$ (as 14T7) $[2, 2]$ $13946697.019638835$
14.2.338...264.1 $x^{14} - 14 x^{12} + 686 x^{8} - 1540 x^{6} - 13482 x^{4} + 68068 x^{2} - 110894$ $2^{27}\cdot 3^{12}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) trivial $129960074.14382683$
14.2.338...264.2 $x^{14} - 14 x^{12} + 84 x^{10} - 322 x^{8} + 896 x^{6} - 1722 x^{4} + 2212 x^{2} - 1694$ $2^{27}\cdot 3^{12}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) trivial $172711264.87665197$
14.2.338...264.3 $x^{14} - 14 x^{12} + 168 x^{10} - 1792 x^{8} + 10976 x^{6} - 12096 x^{4} + 9856 x^{2} - 5600$ $2^{27}\cdot 3^{12}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) trivial $147637191.68695623$
14.2.338...264.4 $x^{14} - 14 x^{12} + 84 x^{10} - 280 x^{8} + 476 x^{6} - 1176 x^{4} + 448 x^{2} - 56$ $2^{27}\cdot 3^{12}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) trivial $140005946.47214493$
14.0.549...696.1 $x^{14} - 7 x^{13} + 56 x^{12} - 245 x^{11} + 1085 x^{10} - 3346 x^{9} + 10157 x^{8} - 22925 x^{7} + 50659 x^{6} - 87052 x^{5} + 144445 x^{4} - 133595 x^{3} + 136822 x^{2} - 116179 x + 88511$ $-\,2^{12}\cdot 3^{12}\cdot 7^{10}\cdot 19^{7}$ $F_7 \times C_2$ (as 14T7) $[3]$ $37983056.281010054$
14.2.750...000.1 $x^{14} - 25920$ $2^{12}\cdot 3^{12}\cdot 5^{13}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) trivial $116830335.09922236$
14.2.750...000.2 $x^{14} - 184320$ $2^{12}\cdot 3^{12}\cdot 5^{13}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) trivial $93850785.57387021$
14.2.750...000.3 $x^{14} - 870 x^{7} - 900$ $2^{12}\cdot 3^{12}\cdot 5^{13}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) trivial $145796753.1376601$
14.0.105...000.1 $x^{14} - 7 x^{13} + 35 x^{12} - 119 x^{11} + 329 x^{10} - 721 x^{9} + 1337 x^{8} - 1985 x^{7} + 2464 x^{6} - 4774 x^{5} + 7882 x^{4} - 854 x^{3} - 5810 x^{2} + 1442 x + 1418$ $-\,2^{12}\cdot 3^{12}\cdot 5^{12}\cdot 7^{11}$ $F_7$ (as 14T4) trivial $385257646.8874574$
14.0.105...000.2 $x^{14} + x^{12} - 30 x^{11} + 39 x^{10} + 510 x^{9} + 2375 x^{8} + 7320 x^{7} + 12755 x^{6} + 6720 x^{5} - 1197 x^{4} + 44310 x^{3} + 213493 x^{2} + 346290 x + 224917$ $-\,2^{12}\cdot 3^{12}\cdot 5^{12}\cdot 7^{11}$ $F_7$ (as 14T4) trivial $280565584.8437385$
14.0.105...000.3 $x^{14} - 59 x^{12} + 1269 x^{10} - 11395 x^{8} + 28655 x^{6} + 64563 x^{4} + 245323 x^{2} + 514087$ $-\,2^{12}\cdot 3^{12}\cdot 5^{12}\cdot 7^{11}$ $F_7$ (as 14T4) trivial $237529515.95679548$
14.0.157...000.1 $x^{14} + 1406250$ $-\,2^{27}\cdot 3^{12}\cdot 5^{7}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) $[2]$ $132394727.38181365$
14.2.306...264.1 $x^{14} - 10338 x^{7} - 1406250$ $2^{20}\cdot 3^{12}\cdot 7^{10}\cdot 11^{7}$ $F_7 \times C_2$ (as 14T7) $[14]$ $40718019.19045277$
14.0.987...728.1 $x^{14} - 7302 x^{7} + 14823774$ $-\,2^{20}\cdot 3^{12}\cdot 7^{10}\cdot 13^{7}$ $F_7 \times C_2$ (as 14T7) $[2, 2]$ $151362953.43555072$
14.2.106...176.1 $x^{14} - 7 x^{13} - 28 x^{12} + 259 x^{11} + 329 x^{10} - 4186 x^{9} - 2443 x^{8} + 37987 x^{7} + 17227 x^{6} - 210784 x^{5} - 98987 x^{4} + 541849 x^{3} + 576814 x^{2} - 970963 x - 766753$ $2^{12}\cdot 3^{12}\cdot 7^{10}\cdot 29^{7}$ $F_7 \times C_2$ (as 14T7) trivial $635223824.8689997$
14.0.110...000.1 $x^{14} - 50 x^{12} + 1800 x^{10} - 34000 x^{8} + 440000 x^{6} - 2400000 x^{4} + 1000000 x^{2} + 17500000$ $-\,2^{27}\cdot 3^{12}\cdot 5^{7}\cdot 7^{11}$ $F_7 \times C_2$ (as 14T7) $[2, 2]$ $96837594.26008515$
14.2.146...656.1 $x^{14} - 3 x^{13} + 27 x^{12} - 147 x^{11} + 675 x^{10} - 6441 x^{9} - 13731 x^{8} + 86793 x^{7} - 33480 x^{6} + 3773952 x^{5} - 7150608 x^{4} - 42183000 x^{3} + 122123376 x^{2} - 64200348 x - 61742484$ $2^{12}\cdot 3^{12}\cdot 7^{11}\cdot 23^{7}$ $F_7 \times C_2$ (as 14T7) $[7]$ $198701591.36121362$
14.0.169...704.1 $x^{14} - 7 x^{13} + 77 x^{12} - 371 x^{11} + 2219 x^{10} - 7861 x^{9} + 32207 x^{8} - 85421 x^{7} + 257530 x^{6} - 508774 x^{5} + 1150618 x^{4} - 1458506 x^{3} + 2416918 x^{2} - 1897378 x + 2146850$ $-\,2^{12}\cdot 3^{12}\cdot 7^{10}\cdot 31^{7}$ $F_7 \times C_2$ (as 14T7) $[21]$ $79274619.88738406$
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