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Label Polynomial Discriminant Galois group Class group Regulator
12.0.53440955929.1 $x^{12} - x^{11} + x^{10} - 3 x^{9} + 4 x^{8} - 2 x^{7} + x^{6} - 2 x^{5} + 4 x^{4} - 3 x^{3} + x^{2} - x + 1$ $19^{2}\cdot 23^{6}$ $C_2\times S_4$ (as 12T21) trivial $1.36801263468$
12.0.107387945401.1 $x^{12} - 3 x^{11} + 4 x^{10} - 6 x^{9} + 10 x^{8} - 11 x^{7} + 11 x^{6} - 11 x^{5} + 10 x^{4} - 6 x^{3} + 4 x^{2} - 3 x + 1$ $11^{2}\cdot 31^{6}$ $C_2\times S_4$ (as 12T21) trivial $2.19226859503$
12.0.355559378944.2 $x^{12} - 4 x^{11} + 5 x^{10} - 2 x^{8} - 8 x^{7} + 19 x^{6} - 16 x^{5} + 4 x^{4} + 2 x^{3} - x^{2} + 1$ $2^{12}\cdot 7^{2}\cdot 11^{6}$ $C_2\times S_4$ (as 12T21) trivial $5.02237393036$
12.0.489776025600.1 $x^{12} - 6 x^{11} + 15 x^{10} - 20 x^{9} + 18 x^{8} - 18 x^{7} + 17 x^{6} - 6 x^{5} - 4 x^{3} + 3 x^{2} + 1$ $2^{12}\cdot 3^{14}\cdot 5^{2}$ $C_2\times S_4$ (as 12T21) trivial $18.0293679765$
12.0.606355001344.2 $x^{12} - 3 x^{10} + 5 x^{8} - 5 x^{6} + 5 x^{4} - 3 x^{2} + 1$ $2^{12}\cdot 23^{6}$ $C_2\times S_4$ (as 12T21) trivial $6.13615551878$
12.0.1734299357184.1 $x^{12} - 4 x^{11} + 7 x^{10} - 8 x^{9} + 8 x^{8} - 16 x^{7} + 27 x^{6} - 20 x^{5} + 10 x^{4} - 2 x^{3} - 3 x^{2} + 1$ $2^{12}\cdot 3^{2}\cdot 19^{6}$ $C_2\times S_4$ (as 12T21) trivial $12.9328346974$
12.0.1857616347136.1 $x^{12} - x^{10} + 2 x^{8} - 3 x^{6} + 2 x^{4} - x^{2} + 1$ $2^{20}\cdot 11^{6}$ $C_2\times S_4$ (as 12T21) trivial $13.594272709$
12.0.2008387814976.1 $x^{12} - 3 x^{10} + 6 x^{8} - 13 x^{6} + 15 x^{4} + 6 x^{2} + 4$ $2^{6}\cdot 3^{22}$ $C_2\times S_4$ (as 12T21) trivial $39.8332582244$
12.0.2699554153024.1 $x^{12} - 3 x^{11} + 7 x^{10} - 20 x^{9} + 38 x^{8} - 49 x^{7} + 53 x^{6} - 49 x^{5} + 38 x^{4} - 20 x^{3} + 7 x^{2} - 3 x + 1$ $2^{6}\cdot 59^{6}$ $C_2\times S_4$ (as 12T21) trivial $16.1282227893$
12.0.3635215077376.2 $x^{12} - 3 x^{10} + 7 x^{8} - 9 x^{6} + 7 x^{4} - 3 x^{2} + 1$ $2^{12}\cdot 31^{6}$ $C_2\times S_4$ (as 12T21) trivial $17.6128553028$
12.0.5015306502144.1 $x^{12} - 3 x^{10} + 5 x^{6} - 3 x^{2} + 1$ $2^{20}\cdot 3^{14}$ $C_2\times S_4$ (as 12T21) trivial $65.9524238105$
12.0.5231045973904.1 $x^{12} - 5 x^{11} + 15 x^{10} - 27 x^{9} + 38 x^{8} - 39 x^{7} + 39 x^{6} - 26 x^{5} + 21 x^{4} - 14 x^{3} + 28 x^{2} - 24 x + 16$ $2^{4}\cdot 83^{6}$ $C_2\times S_4$ (as 12T21) trivial $23.2959616796$
12.0.7430465388544.4 $x^{12} - 2 x^{10} + 6 x^{8} - 12 x^{6} + 16 x^{4} - 12 x^{2} + 4$ $2^{22}\cdot 11^{6}$ $C_2\times S_4$ (as 12T21) trivial $27.1435195013$
12.0.7430465388544.5 $x^{12} + 2 x^{10} + 6 x^{8} + 12 x^{6} + 16 x^{4} + 12 x^{2} + 4$ $2^{22}\cdot 11^{6}$ $C_2\times S_4$ (as 12T21) trivial $28.4329447408$
12.0.8033551259904.1 $x^{12} + 6 x^{10} + 6 x^{8} - 10 x^{6} + 6 x^{4} + 6 x^{2} + 1$ $2^{8}\cdot 3^{22}$ $C_2\times S_4$ (as 12T21) trivial $149.097815873$
12.0.10798216612096.1 $x^{12} - 3 x^{10} + 14 x^{8} - 23 x^{6} + 14 x^{4} - 3 x^{2} + 1$ $2^{8}\cdot 59^{6}$ $C_2\times S_4$ (as 12T21) trivial $58.5022778166$
12.0.14048223625216.1 $x^{12} - 2 x^{11} + 2 x^{10} - 4 x^{9} + 2 x^{7} + 4 x^{6} + 2 x^{5} - 4 x^{3} + 2 x^{2} - 2 x + 1$ $2^{16}\cdot 11^{8}$ $C_2\times S_4$ (as 12T21) trivial $168.751871661$
12.0.14048223625216.2 $x^{12} - 4 x^{11} + 13 x^{10} - 22 x^{9} + 22 x^{8} - 4 x^{7} - 25 x^{6} + 4 x^{5} + 22 x^{4} + 22 x^{3} + 13 x^{2} + 4 x + 1$ $2^{16}\cdot 11^{8}$ $C_2\times S_4$ (as 12T21) trivial $39.7733586752$
12.4.16420649017600.1 $x^{12} - 3 x^{11} - x^{10} + 10 x^{9} - 7 x^{8} - 11 x^{7} + 10 x^{6} + 11 x^{5} - 7 x^{4} - 10 x^{3} - x^{2} + 3 x + 1$ $2^{8}\cdot 5^{2}\cdot 37^{6}$ $C_2\times S_4$ (as 12T21) trivial $92.7669573416$
12.0.20061226008576.5 $x^{12} - 6 x^{10} + 18 x^{8} - 28 x^{6} + 24 x^{4} - 12 x^{2} + 4$ $2^{22}\cdot 3^{14}$ $C_2\times S_4$ (as 12T21) trivial $128.95233708$
12.0.20061226008576.8 $x^{12} + 6 x^{10} + 18 x^{8} + 28 x^{6} + 24 x^{4} + 12 x^{2} + 4$ $2^{22}\cdot 3^{14}$ $C_2\times S_4$ (as 12T21) trivial $246.325838553$
12.0.20266878515625.1 $x^{12} - 6 x^{11} + 17 x^{10} - 30 x^{9} + 41 x^{8} - 50 x^{7} + 50 x^{6} - 35 x^{5} + 21 x^{4} - 15 x^{3} + 8 x^{2} - 2 x + 1$ $3^{2}\cdot 5^{8}\cdot 7^{8}$ $C_2\times S_4$ (as 12T21) trivial $40.027505754$
12.0.26214400000000.3 $x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{6} + 11 x^{4} + 4 x^{2} + 4$ $2^{26}\cdot 5^{8}$ $C_2\times S_4$ (as 12T21) trivial $159.094649704$
12.0.38806720086016.8 $x^{12} - 6 x^{10} + 20 x^{8} - 40 x^{6} + 80 x^{4} - 96 x^{2} + 64$ $2^{18}\cdot 23^{6}$ $C_2\times S_4$ (as 12T21) trivial $56.7031217951$
12.0.38806720086016.11 $x^{12} + 6 x^{10} + 20 x^{8} + 40 x^{6} + 80 x^{4} + 96 x^{2} + 64$ $2^{18}\cdot 23^{6}$ $C_2\times S_4$ (as 12T21) trivial $49.5019044708$
12.0.45137758519296.2 $x^{12} + 6 x^{8} + 9 x^{4} + 16$ $2^{20}\cdot 3^{16}$ $C_2\times S_4$ (as 12T21) trivial $692.884299381$
12.0.49331181715456.2 $x^{12} - 3 x^{10} + 4 x^{8} - 3 x^{6} + 4 x^{4} - 3 x^{2} + 1$ $2^{20}\cdot 19^{6}$ $C_2\times S_4$ (as 12T21) trivial $77.6047606189$
12.0.104857600000000.5 $x^{12} - 6 x^{11} + 15 x^{10} - 20 x^{9} + 17 x^{8} - 14 x^{7} + 13 x^{6} - 8 x^{5} + 20 x^{4} - 36 x^{3} + 18 x^{2} + 4$ $2^{28}\cdot 5^{8}$ $C_2\times S_4$ (as 12T21) trivial $884.811835792$
12.4.111003587358976.2 $x^{12} - 7 x^{10} + 23 x^{8} - 37 x^{6} + 40 x^{4} - 40 x^{2} + 4$ $2^{8}\cdot 13^{2}\cdot 37^{6}$ $C_2\times S_4$ (as 12T21) trivial $267.019412529$
12.0.128536820158464.7 $x^{12} - 6 x^{11} + 18 x^{10} - 32 x^{9} + 42 x^{8} - 78 x^{7} + 173 x^{6} - 264 x^{5} + 258 x^{4} - 184 x^{3} + 108 x^{2} - 48 x + 16$ $2^{12}\cdot 3^{22}$ $C_2\times S_4$ (as 12T21) trivial $707.729938838$
12.0.167961600000000.1 $x^{12} + 4 x^{10} + 4 x^{8} + 24 x^{6} + 96 x^{4} + 144 x^{2} + 144$ $2^{16}\cdot 3^{8}\cdot 5^{8}$ $C_2\times S_4$ (as 12T21) trivial $1408.19992485$
12.8.168147445940224.1 $x^{12} - 3 x^{10} - 10 x^{8} + 25 x^{6} - 10 x^{4} - 3 x^{2} + 1$ $2^{16}\cdot 37^{6}$ $C_2\times S_4$ (as 12T21) trivial $542.814955794$
12.0.180551034077184.2 $x^{12} - 6 x^{11} + 15 x^{10} - 20 x^{9} + 21 x^{8} - 30 x^{7} + 37 x^{6} - 24 x^{5} + 12 x^{3} - 6 x^{2} + 8$ $2^{22}\cdot 3^{16}$ $C_2\times S_4$ (as 12T21) trivial $2615.56963432$
12.0.180551034077184.4 $x^{12} - 12 x^{8} + 36 x^{4} + 16$ $2^{22}\cdot 3^{16}$ $C_2\times S_4$ (as 12T21) trivial $1009.39467878$
12.0.188238400000000.6 $x^{12} - x^{10} - 6 x^{8} + 15 x^{6} + 70 x^{4} + 75 x^{2} + 25$ $2^{12}\cdot 5^{8}\cdot 7^{6}$ $C_2\times S_4$ (as 12T21) $[2]$ $133.193013478$
12.0.197324726861824.8 $x^{12} + 4 x^{10} + 6 x^{8} + 12 x^{4} - 4 x^{2} + 4$ $2^{22}\cdot 19^{6}$ $C_2\times S_4$ (as 12T21) trivial $136.019382298$
12.0.197324726861824.12 $x^{12} - 4 x^{10} + 6 x^{8} + 12 x^{4} + 4 x^{2} + 4$ $2^{22}\cdot 19^{6}$ $C_2\times S_4$ (as 12T21) trivial $193.252360338$
12.0.224771578003456.4 $x^{12} + x^{10} - 8 x^{8} - 11 x^{6} + 44 x^{4} + 121 x^{2} + 121$ $2^{20}\cdot 11^{8}$ $C_2\times S_4$ (as 12T21) trivial $153.38061035$
12.0.232653764952064.4 $x^{12} - 6 x^{10} + 28 x^{8} - 72 x^{6} + 112 x^{4} - 96 x^{2} + 64$ $2^{18}\cdot 31^{6}$ $C_2\times S_4$ (as 12T21) trivial $161.409813503$
12.0.232653764952064.5 $x^{12} + 6 x^{10} + 28 x^{8} + 72 x^{6} + 112 x^{4} + 96 x^{2} + 64$ $2^{18}\cdot 31^{6}$ $C_2\times S_4$ (as 12T21) trivial $131.791083735$
12.8.237114171814144.1 $x^{12} - 5 x^{11} + 3 x^{10} + 8 x^{9} + x^{8} + 5 x^{7} - 14 x^{6} - 5 x^{5} + x^{4} - 8 x^{3} + 3 x^{2} + 5 x + 1$ $2^{8}\cdot 19^{2}\cdot 37^{6}$ $C_2\times S_4$ (as 12T21) trivial $790.628080509$
12.0.262440000000000.2 $x^{12} - 2 x^{11} + 4 x^{10} - 20 x^{9} + 40 x^{8} - 62 x^{7} + 124 x^{6} - 188 x^{5} + 220 x^{4} - 240 x^{3} + 204 x^{2} - 108 x + 36$ $2^{12}\cdot 3^{8}\cdot 5^{10}$ $C_2\times S_4$ (as 12T21) $[2]$ $909.189825332$
12.0.320761795710976.2 $x^{12} - 2 x^{10} + 24 x^{8} - 69 x^{6} + 230 x^{4} - 529 x^{2} + 529$ $2^{12}\cdot 23^{8}$ $C_2\times S_4$ (as 12T21) $[2]$ $71.7702131753$
12.0.320761795710976.6 $x^{12} + 7 x^{10} + 41 x^{8} + 115 x^{6} + 253 x^{4} + 529 x^{2} + 529$ $2^{12}\cdot 23^{8}$ $C_2\times S_4$ (as 12T21) $[2]$ $88.1821625089$
12.0.320979616137216.4 $x^{12} + 16 x^{6} + 15 x^{4} - 12 x^{2} + 4$ $2^{26}\cdot 3^{14}$ $C_2\times S_4$ (as 12T21) $[2]$ $592.331285658$
12.0.320979616137216.18 $x^{12} + 12 x^{8} - 4 x^{6} + 15 x^{4} + 24 x^{2} + 16$ $2^{26}\cdot 3^{14}$ $C_2\times S_4$ (as 12T21) $[2]$ $854.316360608$
12.0.323921668734976.5 $x^{12} - 2 x^{11} - 5 x^{10} + 12 x^{9} + 11 x^{8} - 22 x^{7} + 3 x^{6} + 16 x^{5} - 12 x^{4} + 4 x^{3} + 14 x^{2} - 8 x + 4$ $2^{26}\cdot 13^{6}$ $C_2\times S_4$ (as 12T21) $[2]$ $920.186275094$
12.0.323921668734976.17 $x^{12} - 6 x^{10} + 19 x^{8} - 48 x^{6} + 144 x^{4} - 64 x^{2} + 16$ $2^{26}\cdot 13^{6}$ $C_2\times S_4$ (as 12T21) $[2]$ $320.207373589$
12.0.347460933212416.2 $x^{12} - x^{11} + 2 x^{10} + 5 x^{9} - 17 x^{7} + 51 x^{6} - 72 x^{5} + 74 x^{4} - 40 x^{3} + 28 x^{2} - 8 x + 4$ $2^{8}\cdot 23^{2}\cdot 37^{6}$ $C_2\times S_4$ (as 12T21) trivial $220.342128705$
12.0.364679635048569.2 $x^{12} + 16 x^{8} - 6 x^{6} + 64 x^{4} + 39 x^{2} + 9$ $3^{6}\cdot 29^{8}$ $C_2\times S_4$ (as 12T21) $[4]$ $156.415443029$
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