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Label Polynomial Discriminant Galois group Class group Regulator
14.0.283755240966796875.1 $x^{14} - 2 x^{13} - 2 x^{12} - 2 x^{11} + 16 x^{10} + 4 x^{9} - 33 x^{8} + 12 x^{7} + 12 x^{6} + 34 x^{5} - 14 x^{4} - 122 x^{3} + 73 x^{2} + 28 x + 16$ $-\,3^{19}\cdot 5^{12}$ $F_7$ (as 14T4) trivial $8993.34461902$
14.0.197...000.1 $x^{14} - x^{13} - 15 x^{12} + 17 x^{11} + 59 x^{10} - 23 x^{9} - 107 x^{8} - 435 x^{7} + 594 x^{6} + 388 x^{5} + 1158 x^{4} - 408 x^{3} + 250 x^{2} + 6 x + 2$ $-\,2^{12}\cdot 5^{12}\cdot 7^{11}$ $F_7$ (as 14T4) trivial $421014.85114896303$
14.2.506...000.1 $x^{14} - 21 x^{12} + 189 x^{10} - 945 x^{8} + 2695 x^{6} - 5243 x^{4} + 6223 x^{2} - 3087$ $2^{20}\cdot 5^{12}\cdot 7^{11}$ $F_7 \times C_2$ (as 14T7) trivial $5575111.899615467$
14.0.617...000.1 $x^{14} - 50 x^{7} + 2500$ $-\,2^{12}\cdot 3^{7}\cdot 5^{12}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) trivial $12950346.172702966$
14.0.474...000.1 $x^{14} - 130 x^{7} + 12800$ $-\,2^{12}\cdot 5^{12}\cdot 7^{15}$ $F_7$ (as 14T4) $[2, 2]$ $3056807.7186455326$
14.0.925...000.1 $x^{14} + 50$ $-\,2^{27}\cdot 5^{12}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) trivial $23288719.84888178$
14.2.925...000.1 $x^{14} - 50$ $2^{27}\cdot 5^{12}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) trivial $19956959.779171284$
14.2.158...000.1 $x^{14} - 710 x^{7} - 50$ $2^{20}\cdot 3^{7}\cdot 5^{12}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) trivial $80794411.16105844$
14.0.450...000.1 $x^{14} - 600 x^{7} + 120000$ $-\,2^{12}\cdot 3^{13}\cdot 5^{12}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) $[7]$ $36975500.92847806$
14.0.450...000.2 $x^{14} - 30 x^{7} + 900$ $-\,2^{12}\cdot 3^{13}\cdot 5^{12}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) trivial $275778037.09270376$
14.0.450...000.3 $x^{14} - 960 x^{7} + 307200$ $-\,2^{12}\cdot 3^{13}\cdot 5^{12}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) trivial $254628297.07216045$
14.0.450...000.4 $x^{14} - 360 x^{7} + 43200$ $-\,2^{12}\cdot 3^{13}\cdot 5^{12}\cdot 7^{10}$ $F_7 \times C_2$ (as 14T7) trivial $310183321.7780168$
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 $237529515.95679548$
14.2.121...000.1 $x^{14} - 14 x^{12} + 84 x^{10} - 280 x^{8} - 4330 x^{7} - 38570 x^{6} - 153020 x^{5} - 335692 x^{4} - 442960 x^{3} - 352912 x^{2} - 157360 x - 30278$ $2^{20}\cdot 5^{12}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) $[2]$ $146236487.88934478$
14.0.148...000.1 $x^{14} - 10 x^{7} + 100$ $-\,2^{12}\cdot 3^{7}\cdot 5^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) $[2]$ $182897748.92383504$
14.2.177...000.1 $x^{14} - 7 x^{13} + 91 x^{11} - 91 x^{10} - 546 x^{9} + 637 x^{8} + 1915 x^{7} - 1561 x^{6} - 12264 x^{5} + 19957 x^{4} - 46879 x^{3} + 64050 x^{2} - 59003 x + 17163$ $2^{12}\cdot 5^{12}\cdot 7^{10}\cdot 13^{7}$ $F_7 \times C_2$ (as 14T7) trivial $885629267.0546912$
14.0.222...000.1 $x^{14} + 12800$ $-\,2^{27}\cdot 5^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) $[2, 2]$ $225178570.37207133$
14.2.222...000.1 $x^{14} - 12800$ $2^{27}\cdot 5^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) $[2]$ $373795313.9219484$
14.2.385...000.1 $x^{14} - 5 x^{13} - 54 x^{12} + 355 x^{11} + 729 x^{10} - 10180 x^{9} + 6345 x^{8} + 139775 x^{7} - 299335 x^{6} - 1345590 x^{5} + 1772093 x^{4} - 15215 x^{3} - 10254782 x^{2} + 13259535 x - 8585253$ $2^{12}\cdot 5^{12}\cdot 7^{11}\cdot 11^{7}$ $F_7 \times C_2$ (as 14T7) trivial $776804702.3486406$
14.2.115...000.1 $x^{14} - 7 x^{13} - 7 x^{12} + 133 x^{11} - 49 x^{10} - 1141 x^{9} + 707 x^{8} + 5667 x^{7} - 2478 x^{6} - 27706 x^{5} + 25886 x^{4} - 51702 x^{3} + 113218 x^{2} - 132622 x + 21166$ $2^{12}\cdot 5^{12}\cdot 7^{10}\cdot 17^{7}$ $F_7 \times C_2$ (as 14T7) trivial $3755574727.6273003$
14.0.141...000.1 $x^{14} + 66 x^{12} + 1584 x^{10} + 12690 x^{8} + 43740 x^{6} + 161838 x^{4} + 781488 x^{2} + 1500282$ $-\,2^{27}\cdot 3^{7}\cdot 5^{12}\cdot 7^{11}$ $F_7 \times C_2$ (as 14T7) $[2, 2]$ $584840855.0914464$
14.2.141...000.1 $x^{14} - 66 x^{12} + 1584 x^{10} - 12690 x^{8} + 43740 x^{6} - 161838 x^{4} + 781488 x^{2} - 1500282$ $2^{27}\cdot 3^{7}\cdot 5^{12}\cdot 7^{11}$ $F_7 \times C_2$ (as 14T7) $[2]$ $1959406079.6983285$
14.2.269...000.1 $x^{14} - x^{12} - 111 x^{10} + 475 x^{8} + 4355 x^{6} - 14043 x^{4} + 15163 x^{2} - 5887$ $2^{20}\cdot 3^{12}\cdot 5^{12}\cdot 7^{11}$ $F_7 \times C_2$ (as 14T7) trivial $7112787686.405387$
14.2.269...000.2 $x^{14} + 59 x^{12} + 1269 x^{10} + 11395 x^{8} + 28655 x^{6} - 64563 x^{4} + 245323 x^{2} - 514087$ $2^{20}\cdot 3^{12}\cdot 5^{12}\cdot 7^{11}$ $F_7 \times C_2$ (as 14T7) trivial $4097392351.8552823$
14.2.269...000.3 $x^{14} - 4 x^{12} - 120 x^{11} - 276 x^{10} + 2400 x^{9} - 2780 x^{8} + 13980 x^{7} - 4420 x^{6} - 15840 x^{5} + 213048 x^{4} - 334200 x^{3} + 1058968 x^{2} - 584160 x + 1009352$ $2^{20}\cdot 3^{12}\cdot 5^{12}\cdot 7^{11}$ $F_7 \times C_2$ (as 14T7) trivial $4767942877.280301$
14.2.379...000.1 $x^{14} - 21 x^{12} + 189 x^{10} - 945 x^{8} - 20 x^{7} + 2835 x^{6} - 1260 x^{5} - 5103 x^{4} - 6300 x^{3} + 5103 x^{2} - 3780 x - 2087$ $2^{20}\cdot 3^{7}\cdot 5^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) $[2]$ $1916144829.765986$
14.0.961...000.1 $x^{14} - 7 x^{13} + 63 x^{12} - 287 x^{11} + 1421 x^{10} - 4641 x^{9} + 15757 x^{8} - 37953 x^{7} + 94192 x^{6} - 178626 x^{5} + 336686 x^{4} - 286202 x^{3} + 331338 x^{2} - 376642 x + 334886$ $-\,2^{12}\cdot 5^{12}\cdot 7^{10}\cdot 23^{7}$ $F_7 \times C_2$ (as 14T7) $[21]$ $425656377.5013886$
14.0.108...000.1 $x^{14} - 180 x^{7} + 32400$ $-\,2^{12}\cdot 3^{13}\cdot 5^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $9766516500.309452$
14.0.108...000.2 $x^{14} - 240 x^{7} + 57600$ $-\,2^{12}\cdot 3^{13}\cdot 5^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) $[2]$ $4734623126.093758$
14.0.108...000.3 $x^{14} - 150 x^{7} + 7500$ $-\,2^{12}\cdot 3^{13}\cdot 5^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $9156327635.56853$
14.0.108...000.4 $x^{14} - 240 x^{7} + 19200$ $-\,2^{12}\cdot 3^{13}\cdot 5^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $9659356805.410778$
14.0.108...000.5 $x^{14} - 60 x^{7} + 1200$ $-\,2^{12}\cdot 3^{13}\cdot 5^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $9769536239.695217$
14.0.108...000.6 $x^{14} - 30 x^{7} + 300$ $-\,2^{12}\cdot 3^{13}\cdot 5^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) $[14]$ $974058691.3467149$
14.0.108...000.7 $x^{14} - 60 x^{7} + 3600$ $-\,2^{12}\cdot 3^{13}\cdot 5^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) $[7]$ $1274162775.2945898$
14.2.176...000.1 $x^{14} - 5 x^{13} - 96 x^{12} + 635 x^{11} + 2899 x^{10} - 31740 x^{9} - 25295 x^{8} + 731415 x^{7} - 601525 x^{6} - 10046870 x^{5} + 5676357 x^{4} + 22898445 x^{3} - 101220272 x^{2} + 73912155 x - 134257527$ $2^{12}\cdot 5^{12}\cdot 7^{11}\cdot 19^{7}$ $F_7 \times C_2$ (as 14T7) trivial $17467364535.31741$
14.0.252...000.1 $x^{14} - 7 x^{13} + 35 x^{12} - 119 x^{11} + 329 x^{10} - 721 x^{9} + 1337 x^{8} + 355 x^{7} - 5726 x^{6} - 78484 x^{5} + 212632 x^{4} + 40096 x^{3} - 276080 x^{2} + 75152 x + 1455728$ $-\,2^{12}\cdot 3^{12}\cdot 5^{12}\cdot 7^{15}$ $F_7$ (as 14T4) $[7]$ $1187793284.646849$
14.0.252...000.2 $x^{14} - 7 x^{13} + 35 x^{12} - 119 x^{11} + 329 x^{10} - 721 x^{9} + 1337 x^{8} - 605 x^{7} - 2366 x^{6} - 48244 x^{5} + 128632 x^{4} + 23296 x^{3} - 165200 x^{2} + 44912 x + 527888$ $-\,2^{12}\cdot 3^{12}\cdot 5^{12}\cdot 7^{15}$ $F_7$ (as 14T4) $[7]$ $1388834511.5405214$
14.0.252...000.3 $x^{14} - 7 x^{13} + 35 x^{12} - 119 x^{11} + 329 x^{10} - 721 x^{9} + 1337 x^{8} - 1745 x^{7} + 1624 x^{6} - 12334 x^{5} + 28882 x^{4} + 3346 x^{3} - 33530 x^{2} + 9002 x + 24578$ $-\,2^{12}\cdot 3^{12}\cdot 5^{12}\cdot 7^{15}$ $F_7$ (as 14T4) $[7]$ $1175716963.759769$
14.0.252...000.4 $x^{14} - 7 x^{13} + 35 x^{12} - 119 x^{11} + 329 x^{10} - 721 x^{9} + 1337 x^{8} - 1445 x^{7} + 574 x^{6} - 21784 x^{5} + 55132 x^{4} + 8596 x^{3} - 68180 x^{2} + 18452 x + 94028$ $-\,2^{12}\cdot 3^{12}\cdot 5^{12}\cdot 7^{15}$ $F_7$ (as 14T4) $[2, 14]$ $422052086.0487484$
14.2.425...000.1 $x^{14} - 7 x^{13} + 91 x^{11} - 91 x^{10} - 546 x^{9} + 637 x^{8} + 1995 x^{7} - 1841 x^{6} - 6384 x^{5} + 5957 x^{4} - 3479 x^{3} + 12810 x^{2} - 15883 x + 1283$ $2^{12}\cdot 5^{12}\cdot 7^{14}\cdot 13^{7}$ $F_7 \times C_2$ (as 14T7) $[2, 4]$ $4058348885.163904$
14.2.276...000.1 $x^{14} - 6150 x^{7} + 3750$ $2^{20}\cdot 3^{13}\cdot 5^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $103135956148.8188$
14.2.276...000.2 $x^{14} - 7500$ $2^{20}\cdot 3^{13}\cdot 5^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $101199427796.35306$
14.2.276...000.3 $x^{14} - 300$ $2^{20}\cdot 3^{13}\cdot 5^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) $[2]$ $51685320277.1961$
14.2.276...000.4 $x^{14} - 1200$ $2^{20}\cdot 3^{13}\cdot 5^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $107486611994.07718$
14.2.276...000.5 $x^{14} - 1230 x^{7} + 150$ $2^{20}\cdot 3^{13}\cdot 5^{12}\cdot 7^{14}$ $F_7 \times C_2$ (as 14T7) trivial $99053525070.36554$
14.2.645...000.1 $x^{14} - 49 x^{12} + 1029 x^{10} - 12005 x^{8} - 300 x^{7} + 84035 x^{6} - 44100 x^{5} - 352947 x^{4} - 514500 x^{3} + 823543 x^{2} - 720300 x - 801043$ $2^{20}\cdot 3^{12}\cdot 5^{12}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) trivial $197885431781.7171$
14.2.645...000.2 $x^{14} - 49 x^{12} + 1029 x^{10} - 12005 x^{8} - 360 x^{7} + 84035 x^{6} - 52920 x^{5} - 352947 x^{4} - 617400 x^{3} + 823543 x^{2} - 864360 x - 791143$ $2^{20}\cdot 3^{12}\cdot 5^{12}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) trivial $202375468544.9863$
14.2.645...000.3 $x^{14} - 49 x^{12} + 1029 x^{10} - 12005 x^{8} - 600 x^{7} + 84035 x^{6} - 88200 x^{5} - 352947 x^{4} - 1029000 x^{3} + 823543 x^{2} - 1440600 x - 733543$ $2^{20}\cdot 3^{12}\cdot 5^{12}\cdot 7^{15}$ $F_7 \times C_2$ (as 14T7) $[2]$ $102931492522.03165$
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