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Label Polynomial Discriminant Galois group Class group Regulator
12.4.8067775586689.1 $x^{12} - 2 x^{11} + x^{10} - 3 x^{9} + 3 x^{8} + 3 x^{7} - x^{6} - 5 x^{5} - 15 x^{4} + 10 x^{3} - 3 x^{2} - 3 x + 1$ $7^{10}\cdot 13^{4}$ $C_2^2 \times A_4$ (as 12T26) trivial $47.1747110525$
12.4.8067775586689.2 $x^{12} - 4 x^{11} + 4 x^{10} + 4 x^{9} - x^{8} - 9 x^{7} - 15 x^{6} + 25 x^{5} + 10 x^{4} - 11 x^{3} - 6 x^{2} + 2 x + 1$ $7^{10}\cdot 13^{4}$ $C_2^2 \times A_4$ (as 12T26) trivial $47.1747110525$
12.4.32357746661769.1 $x^{12} - 3 x^{10} - 4 x^{9} + 3 x^{8} + 18 x^{7} + 5 x^{6} - 24 x^{5} - 12 x^{4} + 22 x^{3} - 3 x^{2} - 3 x + 1$ $3^{18}\cdot 17^{4}$ $C_2^2 \times A_4$ (as 12T26) trivial $99.9300080915$
12.4.32357746661769.2 $x^{12} - 3 x^{11} + 6 x^{10} - 5 x^{9} - 3 x^{8} + 12 x^{7} - 22 x^{6} + 27 x^{5} - 24 x^{4} + 23 x^{3} - 12 x^{2} + 1$ $3^{18}\cdot 17^{4}$ $C_2^2 \times A_4$ (as 12T26) trivial $99.9300080915$
12.4.74049191673856.1 $x^{12} - 4 x^{11} + 4 x^{10} - 10 x^{9} + 41 x^{8} - 58 x^{7} + 48 x^{6} - 80 x^{5} + 122 x^{4} - 102 x^{3} + 50 x^{2} - 12 x + 1$ $2^{18}\cdot 7^{10}$ $C_2^2 \times A_4$ (as 12T26) trivial $172.005517567$
12.4.74049191673856.2 $x^{12} - 4 x^{11} + 4 x^{10} + 18 x^{9} - 71 x^{8} + 124 x^{7} - 120 x^{6} + 74 x^{5} - 46 x^{4} + 38 x^{3} - 20 x^{2} + 2 x + 1$ $2^{18}\cdot 7^{10}$ $C_2^2 \times A_4$ (as 12T26) trivial $172.005517567$
12.0.86161557405625.1 $x^{12} - 2 x^{11} + x^{10} - 3 x^{9} + 16 x^{8} - 18 x^{7} + 2 x^{6} + 15 x^{5} + 40 x^{4} - 49 x^{3} + 29 x^{2} - 8 x + 1$ $5^{4}\cdot 13^{10}$ $C_2^2 \times A_4$ (as 12T26) $[2]$ $69.4703240752$
12.0.86161557405625.2 $x^{12} - 4 x^{11} + 13 x^{10} - 28 x^{9} + 53 x^{8} - 76 x^{7} + 97 x^{6} - 86 x^{5} + 68 x^{4} - 28 x^{3} + 13 x^{2} + x + 1$ $5^{4}\cdot 13^{10}$ $C_2^2 \times A_4$ (as 12T26) $[2]$ $69.4703240752$
12.4.96717311574016.6 $x^{12} - 2 x^{10} - 5 x^{8} + 4 x^{6} - 5 x^{4} - 2 x^{2} + 1$ $2^{24}\cdot 7^{8}$ $C_2^2 \times A_4$ (as 12T26) trivial $203.607017589$
12.4.96717311574016.7 $x^{12} + 2 x^{10} - 5 x^{8} - 4 x^{6} - 5 x^{4} + 2 x^{2} + 1$ $2^{24}\cdot 7^{8}$ $C_2^2 \times A_4$ (as 12T26) trivial $203.607017589$
12.4.101559956668416.1 $x^{12} - 6 x^{11} + 12 x^{10} - 2 x^{9} - 33 x^{8} + 72 x^{7} - 94 x^{6} + 126 x^{5} - 204 x^{4} + 272 x^{3} - 258 x^{2} + 168 x - 53$ $2^{18}\cdot 3^{18}$ $C_2^2 \times A_4$ (as 12T26) trivial $217.108478014$
12.4.101559956668416.3 $x^{12} - 6 x^{11} + 12 x^{10} - 2 x^{9} - 33 x^{8} + 36 x^{7} + 32 x^{6} - 36 x^{5} - 33 x^{4} + 2 x^{3} + 12 x^{2} + 6 x + 1$ $2^{18}\cdot 3^{18}$ $C_2^2 \times A_4$ (as 12T26) trivial $217.108478014$
12.4.371667309755625.2 $x^{12} - 36 x^{8} + 65 x^{6} - 36 x^{4} + 1$ $3^{6}\cdot 5^{4}\cdot 13^{8}$ $C_2^2 \times A_4$ (as 12T26) trivial $616.936163689$
12.4.371667309755625.3 $x^{12} - 2 x^{11} - 6 x^{10} + 19 x^{9} - 6 x^{8} - 15 x^{7} + 7 x^{6} - 29 x^{5} + 71 x^{4} - 22 x^{3} - 58 x^{2} + 10 x + 25$ $3^{6}\cdot 5^{4}\cdot 13^{8}$ $C_2^2 \times A_4$ (as 12T26) trivial $616.936163689$
12.4.722204136308736.3 $x^{12} + 6 x^{10} + 6 x^{8} - 12 x^{6} - 27 x^{4} - 12 x^{2} + 1$ $2^{24}\cdot 3^{16}$ $C_2^2 \times A_4$ (as 12T26) trivial $593.464006475$
12.4.722204136308736.7 $x^{12} - 6 x^{10} + 6 x^{8} + 12 x^{6} - 27 x^{4} + 12 x^{2} + 1$ $2^{24}\cdot 3^{16}$ $C_2^2 \times A_4$ (as 12T26) trivial $593.464006475$
12.4.1101670627147776.2 $x^{12} - 4 x^{11} + 12 x^{9} + 30 x^{8} - 106 x^{7} - 56 x^{6} + 328 x^{5} - 327 x^{4} - 2 x^{3} + 112 x^{2} - 18 x + 1$ $2^{18}\cdot 3^{6}\cdot 7^{8}$ $C_2^2 \times A_4$ (as 12T26) trivial $604.713489208$
12.4.1101670627147776.4 $x^{12} - 4 x^{11} + 6 x^{10} + 12 x^{9} - 111 x^{8} + 338 x^{7} - 644 x^{6} + 862 x^{5} - 726 x^{4} + 376 x^{3} - 158 x^{2} + 6 x + 1$ $2^{18}\cdot 3^{6}\cdot 7^{8}$ $C_2^2 \times A_4$ (as 12T26) trivial $604.713489208$
12.0.2572632521265625.1 $x^{12} - x^{11} + 8 x^{10} - 18 x^{9} + 79 x^{8} - 128 x^{7} + 315 x^{6} - 447 x^{5} + 900 x^{4} - 871 x^{3} + 1432 x^{2} - 1230 x + 1681$ $5^{6}\cdot 7^{8}\cdot 13^{4}$ $C_2^2 \times A_4$ (as 12T26) $[2]$ $195.701937389$
12.0.2572632521265625.2 $x^{12} + 14 x^{10} + 89 x^{8} + 301 x^{6} + 272 x^{4} + 595 x^{2} + 1849$ $5^{6}\cdot 7^{8}\cdot 13^{4}$ $C_2^2 \times A_4$ (as 12T26) $[2]$ $195.701937389$
12.4.4739148267126784.4 $x^{12} - 2 x^{10} - 3 x^{8} - 8 x^{6} + 2 x^{4} - 18 x^{2} + 1$ $2^{24}\cdot 7^{10}$ $C_2^2 \times A_4$ (as 12T26) trivial $1731.91600165$
12.0.4739148267126784.5 $x^{12} + 4 x^{10} + 2 x^{8} + 22 x^{6} + 25 x^{4} + 16 x^{2} + 1$ $2^{24}\cdot 7^{10}$ $C_2^2 \times A_4$ (as 12T26) $[2]$ $450.319751325$
12.4.4739148267126784.5 $x^{12} - 4 x^{10} + 2 x^{8} - 22 x^{6} + 25 x^{4} - 16 x^{2} + 1$ $2^{24}\cdot 7^{10}$ $C_2^2 \times A_4$ (as 12T26) trivial $1731.91600165$
12.0.4739148267126784.6 $x^{12} + 2 x^{10} - 3 x^{8} + 8 x^{6} + 2 x^{4} + 18 x^{2} + 1$ $2^{24}\cdot 7^{10}$ $C_2^2 \times A_4$ (as 12T26) $[2]$ $450.319751325$
12.4.4739148267126784.8 $x^{12} + 2 x^{10} - 3 x^{8} - 6 x^{6} - 26 x^{4} - 10 x^{2} + 1$ $2^{24}\cdot 7^{10}$ $C_2^2 \times A_4$ (as 12T26) trivial $2005.41137668$
12.4.4739148267126784.11 $x^{12} - 4 x^{10} + 2 x^{8} - 8 x^{6} - 31 x^{4} - 2 x^{2} + 1$ $2^{24}\cdot 7^{10}$ $C_2^2 \times A_4$ (as 12T26) trivial $1510.37500901$
12.4.4739148267126784.12 $x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{6} - 31 x^{4} + 2 x^{2} + 1$ $2^{24}\cdot 7^{10}$ $C_2^2 \times A_4$ (as 12T26) trivial $2005.41137668$
12.4.4739148267126784.17 $x^{12} - 2 x^{10} - 3 x^{8} + 6 x^{6} - 26 x^{4} + 10 x^{2} + 1$ $2^{24}\cdot 7^{10}$ $C_2^2 \times A_4$ (as 12T26) trivial $1510.37500901$
12.4.4739148267126784.24 $x^{12} - 14 x^{8} - 70 x^{6} - 147 x^{4} + 49$ $2^{24}\cdot 7^{10}$ $C_2^2 \times A_4$ (as 12T26) trivial $1289.38496043$
12.4.4739148267126784.25 $x^{12} - 14 x^{8} + 70 x^{6} - 147 x^{4} + 49$ $2^{24}\cdot 7^{10}$ $C_2^2 \times A_4$ (as 12T26) trivial $1289.38496043$
12.4.5881408402696281.1 $x^{12} - 4 x^{11} + 8 x^{10} - 21 x^{9} - 8 x^{8} - 87 x^{7} - 141 x^{6} - 178 x^{5} - 183 x^{4} - 98 x^{3} - 76 x^{2} - 11 x + 1$ $3^{6}\cdot 7^{10}\cdot 13^{4}$ $C_2^2 \times A_4$ (as 12T26) $[2]$ $687.902635527$
12.4.5881408402696281.2 $x^{12} - 2 x^{11} + 9 x^{10} + 7 x^{9} - 32 x^{8} + 141 x^{7} - 190 x^{6} + 16 x^{5} - 16 x^{4} + 21 x^{3} + 39 x^{2} + 6 x + 1$ $3^{6}\cdot 7^{10}\cdot 13^{4}$ $C_2^2 \times A_4$ (as 12T26) $[2]$ $687.902635527$
12.4.6499837226778624.6 $x^{12} - 6 x^{10} + 18 x^{8} - 32 x^{6} + 33 x^{4} - 18 x^{2} + 1$ $2^{24}\cdot 3^{18}$ $C_2^2 \times A_4$ (as 12T26) trivial $3745.35188429$
12.0.6499837226778624.8 $x^{12} - 3 x^{8} + 32 x^{6} - 18 x^{4} + 6 x^{2} + 1$ $2^{24}\cdot 3^{18}$ $C_2^2 \times A_4$ (as 12T26) $[2]$ $470.902800544$
12.4.6499837226778624.11 $x^{12} - 3 x^{8} - 32 x^{6} - 18 x^{4} - 6 x^{2} + 1$ $2^{24}\cdot 3^{18}$ $C_2^2 \times A_4$ (as 12T26) trivial $3745.35188429$
12.4.6499837226778624.12 $x^{12} + 6 x^{10} + 6 x^{8} + 10 x^{6} - 15 x^{4} - 6 x^{2} + 1$ $2^{24}\cdot 3^{18}$ $C_2^2 \times A_4$ (as 12T26) trivial $3276.24428661$
12.0.6499837226778624.15 $x^{12} + 6 x^{10} + 18 x^{8} + 32 x^{6} + 33 x^{4} + 18 x^{2} + 1$ $2^{24}\cdot 3^{18}$ $C_2^2 \times A_4$ (as 12T26) $[2]$ $470.902800544$
12.4.6499837226778624.19 $x^{12} - 9 x^{8} - 8 x^{6} - 9 x^{4} + 1$ $2^{24}\cdot 3^{18}$ $C_2^2 \times A_4$ (as 12T26) trivial $3276.24428661$
12.4.6499837226778624.20 $x^{12} - 9 x^{8} + 8 x^{6} - 9 x^{4} + 1$ $2^{24}\cdot 3^{18}$ $C_2^2 \times A_4$ (as 12T26) trivial $2009.44199894$
12.4.6499837226778624.26 $x^{12} - 6 x^{10} + 6 x^{8} - 10 x^{6} - 15 x^{4} + 6 x^{2} + 1$ $2^{24}\cdot 3^{18}$ $C_2^2 \times A_4$ (as 12T26) trivial $2009.44199894$
12.4.6499837226778624.37 $x^{12} - 27 x^{8} + 36 x^{6} + 18 x^{4} - 54 x^{2} + 9$ $2^{24}\cdot 3^{18}$ $C_2^2 \times A_4$ (as 12T26) trivial $1968.46739038$
12.4.6499837226778624.41 $x^{12} - 27 x^{8} - 36 x^{6} + 18 x^{4} + 54 x^{2} + 9$ $2^{24}\cdot 3^{18}$ $C_2^2 \times A_4$ (as 12T26) trivial $1968.46739038$
12.0.9845005879332009.1 $x^{12} - 6 x^{11} + 27 x^{10} - 67 x^{9} + 150 x^{8} - 189 x^{7} + 328 x^{6} - 150 x^{5} + 324 x^{4} + 123 x^{3} + 63 x^{2} + 9$ $3^{18}\cdot 71^{4}$ $C_2^2 \times A_4$ (as 12T26) $[2, 2]$ $340.066180469$
12.0.9845005879332009.2 $x^{12} - 3 x^{10} + 33 x^{8} - 44 x^{6} + 282 x^{4} - 177 x^{2} + 289$ $3^{18}\cdot 71^{4}$ $C_2^2 \times A_4$ (as 12T26) $[4]$ $340.066180469$
12.4.13685690504052736.13 $x^{12} + 2 x^{10} - 6 x^{8} + 4 x^{6} - 7 x^{4} - 24 x^{2} + 25$ $2^{24}\cdot 13^{8}$ $C_2^2 \times A_4$ (as 12T26) trivial $4779.94434038$
12.4.13685690504052736.14 $x^{12} - 2 x^{10} - 6 x^{8} - 4 x^{6} - 7 x^{4} + 24 x^{2} + 25$ $2^{24}\cdot 13^{8}$ $C_2^2 \times A_4$ (as 12T26) trivial $4779.94434038$
12.4.36138776487264256.4 $x^{12} - 6 x^{11} + 16 x^{10} - 12 x^{9} - 32 x^{8} + 56 x^{7} - 54 x^{6} - 86 x^{5} - 89 x^{4} - 190 x^{3} - 30 x^{2} + 62 x - 1$ $2^{18}\cdot 13^{10}$ $C_2^2 \times A_4$ (as 12T26) $[2]$ $4347.6270651$
12.4.36138776487264256.5 $x^{12} - 6 x^{11} + 16 x^{10} - 12 x^{9} - 32 x^{8} + 56 x^{7} - 54 x^{6} + 174 x^{5} - 193 x^{4} - 190 x^{3} + 178 x^{2} + 218 x - 1$ $2^{18}\cdot 13^{10}$ $C_2^2 \times A_4$ (as 12T26) $[2]$ $4347.6270651$
12.4.55895067029733376.1 $x^{12} - 6 x^{11} + 12 x^{10} + 4 x^{9} - 85 x^{8} + 258 x^{7} - 472 x^{6} + 600 x^{5} - 543 x^{4} + 350 x^{3} - 158 x^{2} + 48 x - 8$ $2^{16}\cdot 31^{8}$ $C_2^2 \times A_4$ (as 12T26) trivial $25742.5049191$
12.4.55895067029733376.5 $x^{12} - 5 x^{10} + 20 x^{8} - 117 x^{6} + 157 x^{4} - 448 x^{2} + 4$ $2^{16}\cdot 31^{8}$ $C_2^2 \times A_4$ (as 12T26) $[2]$ $12871.2524596$
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