Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
12.4.8067775586689.1 |
$x^{12} - 2 x^{11} + x^{10} - 3 x^{9} + 3 x^{8} + 3 x^{7} - x^{6} - 5 x^{5} - 15 x^{4} + 10 x^{3} - 3 x^{2} - 3 x + 1$ |
$12$ |
[4,4] |
$7^{10}\cdot 13^{4}$ |
$2$ |
$11.9004344759$ |
$18.248200448594663$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$47.1747110525$ |
12.4.8067775586689.2 |
$x^{12} - 4 x^{11} + 4 x^{10} + 4 x^{9} - x^{8} - 9 x^{7} - 15 x^{6} + 25 x^{5} + 10 x^{4} - 11 x^{3} - 6 x^{2} + 2 x + 1$ |
$12$ |
[4,4] |
$7^{10}\cdot 13^{4}$ |
$2$ |
$11.9004344759$ |
$18.248200448594663$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$47.1747110525$ |
12.4.32357746661769.1 |
$x^{12} - 3 x^{10} - 4 x^{9} + 3 x^{8} + 18 x^{7} + 5 x^{6} - 24 x^{5} - 12 x^{4} + 22 x^{3} - 3 x^{2} - 3 x + 1$ |
$12$ |
[4,4] |
$3^{18}\cdot 17^{4}$ |
$2$ |
$13.3607710668$ |
$21.42428528562855$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$99.9300080915$ |
12.4.32357746661769.2 |
$x^{12} - 3 x^{11} + 6 x^{10} - 5 x^{9} - 3 x^{8} + 12 x^{7} - 22 x^{6} + 27 x^{5} - 24 x^{4} + 23 x^{3} - 12 x^{2} + 1$ |
$12$ |
[4,4] |
$3^{18}\cdot 17^{4}$ |
$2$ |
$13.3607710668$ |
$21.42428528562855$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$99.9300080915$ |
12.4.74049191673856.1 |
$x^{12} - 4 x^{11} + 4 x^{10} - 10 x^{9} + 41 x^{8} - 58 x^{7} + 48 x^{6} - 80 x^{5} + 122 x^{4} - 102 x^{3} + 50 x^{2} - 12 x + 1$ |
$12$ |
[4,4] |
$2^{18}\cdot 7^{10}$ |
$2$ |
$14.3150661808$ |
$17.023578553967216$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$172.005517567$ |
12.4.74049191673856.2 |
$x^{12} - 4 x^{11} + 4 x^{10} + 18 x^{9} - 71 x^{8} + 124 x^{7} - 120 x^{6} + 74 x^{5} - 46 x^{4} + 38 x^{3} - 20 x^{2} + 2 x + 1$ |
$12$ |
[4,4] |
$2^{18}\cdot 7^{10}$ |
$2$ |
$14.3150661808$ |
$17.023578553967216$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$172.005517567$ |
12.0.86161557405625.1 |
$x^{12} - 2 x^{11} + x^{10} - 3 x^{9} + 16 x^{8} - 18 x^{7} + 2 x^{6} + 15 x^{5} + 40 x^{4} - 49 x^{3} + 29 x^{2} - 8 x + 1$ |
$12$ |
[0,6] |
$5^{4}\cdot 13^{10}$ |
$2$ |
$14.4969328872$ |
$18.957066304919827$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$ |
$2$ |
$5$ |
$69.4703240752$ |
12.0.86161557405625.2 |
$x^{12} - 4 x^{11} + 13 x^{10} - 28 x^{9} + 53 x^{8} - 76 x^{7} + 97 x^{6} - 86 x^{5} + 68 x^{4} - 28 x^{3} + 13 x^{2} + x + 1$ |
$12$ |
[0,6] |
$5^{4}\cdot 13^{10}$ |
$2$ |
$14.4969328872$ |
$18.957066304919827$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$ |
$2$ |
$5$ |
$69.4703240752$ |
12.4.96717311574016.6 |
$x^{12} - 2 x^{10} - 5 x^{8} + 4 x^{6} - 5 x^{4} - 2 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{24}\cdot 7^{8}$ |
$2$ |
$14.6372228401$ |
$18.982129549272347$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$203.607017589$ |
12.4.96717311574016.7 |
$x^{12} + 2 x^{10} - 5 x^{8} - 4 x^{6} - 5 x^{4} + 2 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{24}\cdot 7^{8}$ |
$2$ |
$14.6372228401$ |
$18.982129549272347$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$203.607017589$ |
12.4.101559956668416.1 |
$x^{12} - 6 x^{11} + 12 x^{10} - 2 x^{9} - 33 x^{8} + 72 x^{7} - 94 x^{6} + 126 x^{5} - 204 x^{4} + 272 x^{3} - 258 x^{2} + 168 x - 53$ |
$12$ |
[4,4] |
$2^{18}\cdot 3^{18}$ |
$2$ |
$14.6969384567$ |
$17.477703781463642$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$217.108478014$ |
12.4.101559956668416.3 |
$x^{12} - 6 x^{11} + 12 x^{10} - 2 x^{9} - 33 x^{8} + 36 x^{7} + 32 x^{6} - 36 x^{5} - 33 x^{4} + 2 x^{3} + 12 x^{2} + 6 x + 1$ |
$12$ |
[4,4] |
$2^{18}\cdot 3^{18}$ |
$2$ |
$14.6969384567$ |
$17.477703781463642$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$217.108478014$ |
12.4.371667309755625.2 |
$x^{12} - 36 x^{8} + 65 x^{6} - 36 x^{4} + 1$ |
$12$ |
[4,4] |
$3^{6}\cdot 5^{4}\cdot 13^{8}$ |
$3$ |
$16.3749329489$ |
$21.412852778309286$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$616.936163689$ |
12.4.371667309755625.3 |
$x^{12} - 2 x^{11} - 6 x^{10} + 19 x^{9} - 6 x^{8} - 15 x^{7} + 7 x^{6} - 29 x^{5} + 71 x^{4} - 22 x^{3} - 58 x^{2} + 10 x + 25$ |
$12$ |
[4,4] |
$3^{6}\cdot 5^{4}\cdot 13^{8}$ |
$3$ |
$16.3749329489$ |
$21.412852778309286$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$616.936163689$ |
12.4.722204136308736.3 |
$x^{12} + 6 x^{10} + 6 x^{8} - 12 x^{6} - 27 x^{4} - 12 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{24}\cdot 3^{16}$ |
$2$ |
$17.3069948437$ |
$22.444395485436836$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$593.464006475$ |
12.4.722204136308736.7 |
$x^{12} - 6 x^{10} + 6 x^{8} + 12 x^{6} - 27 x^{4} + 12 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{24}\cdot 3^{16}$ |
$2$ |
$17.3069948437$ |
$22.444395485436836$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$593.464006475$ |
12.4.1101670627147776.2 |
$x^{12} - 4 x^{11} + 12 x^{9} + 30 x^{8} - 106 x^{7} - 56 x^{6} + 328 x^{5} - 327 x^{4} - 2 x^{3} + 112 x^{2} - 18 x + 1$ |
$12$ |
[4,4] |
$2^{18}\cdot 3^{6}\cdot 7^{8}$ |
$3$ |
$17.9268636048$ |
$21.31875374853333$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$604.713489208$ |
12.4.1101670627147776.4 |
$x^{12} - 4 x^{11} + 6 x^{10} + 12 x^{9} - 111 x^{8} + 338 x^{7} - 644 x^{6} + 862 x^{5} - 726 x^{4} + 376 x^{3} - 158 x^{2} + 6 x + 1$ |
$12$ |
[4,4] |
$2^{18}\cdot 3^{6}\cdot 7^{8}$ |
$3$ |
$17.9268636048$ |
$21.31875374853333$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$604.713489208$ |
12.0.2572632521265625.1 |
$x^{12} - x^{11} + 8 x^{10} - 18 x^{9} + 79 x^{8} - 128 x^{7} + 315 x^{6} - 447 x^{5} + 900 x^{4} - 871 x^{3} + 1432 x^{2} - 1230 x + 1681$ |
$12$ |
[0,6] |
$5^{6}\cdot 7^{8}\cdot 13^{4}$ |
$3$ |
$19.2396933714$ |
$29.50226581402583$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$ |
$2$ |
$5$ |
$195.701937389$ |
12.0.2572632521265625.2 |
$x^{12} + 14 x^{10} + 89 x^{8} + 301 x^{6} + 272 x^{4} + 595 x^{2} + 1849$ |
$12$ |
[0,6] |
$5^{6}\cdot 7^{8}\cdot 13^{4}$ |
$3$ |
$19.2396933714$ |
$29.50226581402583$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$ |
$2$ |
$5$ |
$195.701937389$ |
12.4.4739148267126784.4 |
$x^{12} - 2 x^{10} - 3 x^{8} - 8 x^{6} + 2 x^{4} - 18 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{24}\cdot 7^{10}$ |
$2$ |
$20.2445607392$ |
$26.2539471331107$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$1731.91600165$ |
12.0.4739148267126784.5 |
$x^{12} + 4 x^{10} + 2 x^{8} + 22 x^{6} + 25 x^{4} + 16 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{24}\cdot 7^{10}$ |
$2$ |
$20.2445607392$ |
$26.2539471331107$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$ |
$2$ |
$5$ |
$450.319751325$ |
12.4.4739148267126784.5 |
$x^{12} - 4 x^{10} + 2 x^{8} - 22 x^{6} + 25 x^{4} - 16 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{24}\cdot 7^{10}$ |
$2$ |
$20.2445607392$ |
$26.2539471331107$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$1731.91600165$ |
12.0.4739148267126784.6 |
$x^{12} + 2 x^{10} - 3 x^{8} + 8 x^{6} + 2 x^{4} + 18 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{24}\cdot 7^{10}$ |
$2$ |
$20.2445607392$ |
$26.2539471331107$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$ |
$2$ |
$5$ |
$450.319751325$ |
12.4.4739148267126784.8 |
$x^{12} + 2 x^{10} - 3 x^{8} - 6 x^{6} - 26 x^{4} - 10 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{24}\cdot 7^{10}$ |
$2$ |
$20.2445607392$ |
$24.0749756711442$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$2005.41137668$ |
12.4.4739148267126784.11 |
$x^{12} - 4 x^{10} + 2 x^{8} - 8 x^{6} - 31 x^{4} - 2 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{24}\cdot 7^{10}$ |
$2$ |
$20.2445607392$ |
$24.0749756711442$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$1510.37500901$ |
12.4.4739148267126784.12 |
$x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{6} - 31 x^{4} + 2 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{24}\cdot 7^{10}$ |
$2$ |
$20.2445607392$ |
$24.0749756711442$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$2005.41137668$ |
12.4.4739148267126784.17 |
$x^{12} - 2 x^{10} - 3 x^{8} + 6 x^{6} - 26 x^{4} + 10 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{24}\cdot 7^{10}$ |
$2$ |
$20.2445607392$ |
$24.0749756711442$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$1510.37500901$ |
12.4.4739148267126784.24 |
$x^{12} - 14 x^{8} - 70 x^{6} - 147 x^{4} + 49$ |
$12$ |
[4,4] |
$2^{24}\cdot 7^{10}$ |
$2$ |
$20.2445607392$ |
$26.2539471331107$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$1289.38496043$ |
12.4.4739148267126784.25 |
$x^{12} - 14 x^{8} + 70 x^{6} - 147 x^{4} + 49$ |
$12$ |
[4,4] |
$2^{24}\cdot 7^{10}$ |
$2$ |
$20.2445607392$ |
$26.2539471331107$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$1289.38496043$ |
12.4.5881408402696281.1 |
$x^{12} - 4 x^{11} + 8 x^{10} - 21 x^{9} - 8 x^{8} - 87 x^{7} - 141 x^{6} - 178 x^{5} - 183 x^{4} - 98 x^{3} - 76 x^{2} - 11 x + 1$ |
$12$ |
[4,4] |
$3^{6}\cdot 7^{10}\cdot 13^{4}$ |
$3$ |
$20.6121571445$ |
$31.606810323667133$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$ |
$2$ |
$7$ |
$687.902635527$ |
12.4.5881408402696281.2 |
$x^{12} - 2 x^{11} + 9 x^{10} + 7 x^{9} - 32 x^{8} + 141 x^{7} - 190 x^{6} + 16 x^{5} - 16 x^{4} + 21 x^{3} + 39 x^{2} + 6 x + 1$ |
$12$ |
[4,4] |
$3^{6}\cdot 7^{10}\cdot 13^{4}$ |
$3$ |
$20.6121571445$ |
$31.606810323667133$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$ |
$2$ |
$7$ |
$687.902635527$ |
12.4.6499837226778624.6 |
$x^{12} - 6 x^{10} + 18 x^{8} - 32 x^{6} + 33 x^{4} - 18 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{24}\cdot 3^{18}$ |
$2$ |
$20.7846096908$ |
$26.954303975046535$ |
|
|
✓ |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$3745.35188429$ |
12.0.6499837226778624.8 |
$x^{12} - 3 x^{8} + 32 x^{6} - 18 x^{4} + 6 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{24}\cdot 3^{18}$ |
$2$ |
$20.7846096908$ |
$26.954303975046535$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$ |
$2$ |
$5$ |
$470.902800544$ |
12.4.6499837226778624.11 |
$x^{12} - 3 x^{8} - 32 x^{6} - 18 x^{4} - 6 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{24}\cdot 3^{18}$ |
$2$ |
$20.7846096908$ |
$26.954303975046535$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$3745.35188429$ |
12.4.6499837226778624.12 |
$x^{12} + 6 x^{10} + 6 x^{8} + 10 x^{6} - 15 x^{4} - 6 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{24}\cdot 3^{18}$ |
$2$ |
$20.7846096908$ |
$24.717205726885414$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$3276.24428661$ |
12.0.6499837226778624.15 |
$x^{12} + 6 x^{10} + 18 x^{8} + 32 x^{6} + 33 x^{4} + 18 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{24}\cdot 3^{18}$ |
$2$ |
$20.7846096908$ |
$26.954303975046535$ |
|
|
✓ |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$ |
$2$ |
$5$ |
$470.902800544$ |
12.4.6499837226778624.19 |
$x^{12} - 9 x^{8} - 8 x^{6} - 9 x^{4} + 1$ |
$12$ |
[4,4] |
$2^{24}\cdot 3^{18}$ |
$2$ |
$20.7846096908$ |
$24.717205726885414$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$3276.24428661$ |
12.4.6499837226778624.20 |
$x^{12} - 9 x^{8} + 8 x^{6} - 9 x^{4} + 1$ |
$12$ |
[4,4] |
$2^{24}\cdot 3^{18}$ |
$2$ |
$20.7846096908$ |
$24.717205726885414$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$2009.44199894$ |
12.4.6499837226778624.26 |
$x^{12} - 6 x^{10} + 6 x^{8} - 10 x^{6} - 15 x^{4} + 6 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{24}\cdot 3^{18}$ |
$2$ |
$20.7846096908$ |
$24.717205726885414$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$2009.44199894$ |
12.4.6499837226778624.37 |
$x^{12} - 27 x^{8} + 36 x^{6} + 18 x^{4} - 54 x^{2} + 9$ |
$12$ |
[4,4] |
$2^{24}\cdot 3^{18}$ |
$2$ |
$20.7846096908$ |
$26.954303975046535$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$1968.46739038$ |
12.4.6499837226778624.41 |
$x^{12} - 27 x^{8} - 36 x^{6} + 18 x^{4} + 54 x^{2} + 9$ |
$12$ |
[4,4] |
$2^{24}\cdot 3^{18}$ |
$2$ |
$20.7846096908$ |
$26.954303975046535$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$1968.46739038$ |
12.0.9845005879332009.1 |
$x^{12} - 6 x^{11} + 27 x^{10} - 67 x^{9} + 150 x^{8} - 189 x^{7} + 328 x^{6} - 150 x^{5} + 324 x^{4} + 123 x^{3} + 63 x^{2} + 9$ |
$12$ |
[0,6] |
$3^{18}\cdot 71^{4}$ |
$2$ |
$21.5163201807$ |
$43.78355855797927$ |
✓ |
|
? |
$C_2^2 \times A_4$ (as 12T26) |
$[2, 2]$ |
$2$ |
$5$ |
$340.066180469$ |
12.0.9845005879332009.2 |
$x^{12} - 3 x^{10} + 33 x^{8} - 44 x^{6} + 282 x^{4} - 177 x^{2} + 289$ |
$12$ |
[0,6] |
$3^{18}\cdot 71^{4}$ |
$2$ |
$21.5163201807$ |
$43.78355855797927$ |
✓ |
|
? |
$C_2^2 \times A_4$ (as 12T26) |
$[4]$ |
$2$ |
$5$ |
$340.066180469$ |
12.4.13685690504052736.13 |
$x^{12} + 2 x^{10} - 6 x^{8} + 4 x^{6} - 7 x^{4} - 24 x^{2} + 25$ |
$12$ |
[4,4] |
$2^{24}\cdot 13^{8}$ |
$2$ |
$22.1150992547$ |
$28.67973546854811$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$4779.94434038$ |
12.4.13685690504052736.14 |
$x^{12} - 2 x^{10} - 6 x^{8} - 4 x^{6} - 7 x^{4} + 24 x^{2} + 25$ |
$12$ |
[4,4] |
$2^{24}\cdot 13^{8}$ |
$2$ |
$22.1150992547$ |
$28.67973546854811$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$4779.94434038$ |
12.4.36138776487264256.4 |
$x^{12} - 6 x^{11} + 16 x^{10} - 12 x^{9} - 32 x^{8} + 56 x^{7} - 54 x^{6} - 86 x^{5} - 89 x^{4} - 190 x^{3} - 30 x^{2} + 62 x - 1$ |
$12$ |
[4,4] |
$2^{18}\cdot 13^{10}$ |
$2$ |
$23.9790029114$ |
$28.516000872850142$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$ |
$2$ |
$7$ |
$4347.6270651$ |
12.4.36138776487264256.5 |
$x^{12} - 6 x^{11} + 16 x^{10} - 12 x^{9} - 32 x^{8} + 56 x^{7} - 54 x^{6} + 174 x^{5} - 193 x^{4} - 190 x^{3} + 178 x^{2} + 218 x - 1$ |
$12$ |
[4,4] |
$2^{18}\cdot 13^{10}$ |
$2$ |
$23.9790029114$ |
$28.516000872850142$ |
|
|
? |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$ |
$2$ |
$7$ |
$4347.6270651$ |
12.4.55895067029733376.1 |
$x^{12} - 6 x^{11} + 12 x^{10} + 4 x^{9} - 85 x^{8} + 258 x^{7} - 472 x^{6} + 600 x^{5} - 543 x^{4} + 350 x^{3} - 158 x^{2} + 48 x - 8$ |
$12$ |
[4,4] |
$2^{16}\cdot 31^{8}$ |
$2$ |
$24.8664882538$ |
$39.473089612875896$ |
|
|
|
$C_2^2 \times A_4$ (as 12T26) |
trivial |
$2$ |
$7$ |
$25742.5049191$ |
12.4.55895067029733376.5 |
$x^{12} - 5 x^{10} + 20 x^{8} - 117 x^{6} + 157 x^{4} - 448 x^{2} + 4$ |
$12$ |
[4,4] |
$2^{16}\cdot 31^{8}$ |
$2$ |
$24.8664882538$ |
$39.473089612875896$ |
|
|
|
$C_2^2 \times A_4$ (as 12T26) |
$[2]$ |
$2$ |
$7$ |
$12871.2524596$ |