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Degree Signature Class number Class group structure CM field
Ramified prime count Ramified Unramified primes Galois group Galois
Discriminant Root discriminant Galois root discriminant Regulator Intermediate field
$p$-adic completions Minimal sibling Monogenic Index Ines. \(p\)
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Results (1-50 of 143933 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
4.0.144.1 $x^{4} - x^{2} + 1$ $2^{4}\cdot 3^{2}$ $C_2^2$ (as 4T2) trivial $1.31695789692$
4.0.225.1 $x^{4} - x^{3} + 2 x^{2} + x + 1$ $3^{2}\cdot 5^{2}$ $C_2^2$ (as 4T2) trivial $0.962423650119$
4.0.256.1 $x^{4} + 1$ $2^{8}$ $C_2^2$ (as 4T2) trivial $1.76274717404$
4.0.400.1 $x^{4} + 3 x^{2} + 1$ $2^{4}\cdot 5^{2}$ $C_2^2$ (as 4T2) trivial $0.962423650119$
4.0.441.1 $x^{4} - x^{3} - x^{2} - 2 x + 4$ $3^{2}\cdot 7^{2}$ $C_2^2$ (as 4T2) trivial $1.56679923697$
4.0.576.1 $x^{4} - 2 x^{2} + 4$ $2^{6}\cdot 3^{2}$ $C_2^2$ (as 4T2) trivial $2.29243166956$
4.0.576.2 $x^{4} + 2 x^{2} + 4$ $2^{6}\cdot 3^{2}$ $C_2^2$ (as 4T2) trivial $1.76274717404$
4.0.784.1 $x^{4} - 3 x^{2} + 4$ $2^{4}\cdot 7^{2}$ $C_2^2$ (as 4T2) trivial $2.76865938331$
4.0.1089.1 $x^{4} - x^{3} - 2 x^{2} - 3 x + 9$ $3^{2}\cdot 11^{2}$ $C_2^2$ (as 4T2) trivial $3.82816847133$
4.0.1225.1 $x^{4} - x^{3} + 5 x^{2} + 2 x + 4$ $5^{2}\cdot 7^{2}$ $C_2^2$ (as 4T2) trivial $0.962423650119$
4.0.1521.1 $x^{4} - x^{3} + 4 x^{2} + 3 x + 9$ $3^{2}\cdot 13^{2}$ $C_2^2$ (as 4T2) $[2]$ $2.38952643457$
4.0.1600.1 $x^{4} + 6 x^{2} + 4$ $2^{6}\cdot 5^{2}$ $C_2^2$ (as 4T2) trivial $0.962423650119$
4.4.1600.1 $x^{4} - 6 x^{2} + 4$ $2^{6}\cdot 5^{2}$ $C_2^2$ (as 4T2) trivial $1.54250590983$
4.0.1936.1 $x^{4} - 5 x^{2} + 9$ $2^{4}\cdot 11^{2}$ $C_2^2$ (as 4T2) trivial $2.99322284613$
4.0.2304.1 $x^{4} + 4 x^{2} + 1$ $2^{8}\cdot 3^{2}$ $C_2^2$ (as 4T2) $[2]$ $1.31695789692$
4.4.2304.1 $x^{4} - 4 x^{2} + 1$ $2^{8}\cdot 3^{2}$ $C_2^2$ (as 4T2) trivial $2.66089858019$
4.0.2304.2 $x^{4} + 9$ $2^{8}\cdot 3^{2}$ $C_2^2$ (as 4T2) $[2]$ $2.29243166956$
4.0.2601.1 $x^{4} - x^{3} + 5 x^{2} + 4 x + 16$ $3^{2}\cdot 17^{2}$ $C_2^2$ (as 4T2) trivial $4.18942509452$
4.0.2704.1 $x^{4} + 7 x^{2} + 9$ $2^{4}\cdot 13^{2}$ $C_2^2$ (as 4T2) trivial $2.38952643457$
4.0.3025.1 $x^{4} + 3 x^{2} + 16$ $5^{2}\cdot 11^{2}$ $C_2^2$ (as 4T2) $[2]$ $0.962423650119$
4.0.3136.2 $x^{4} - 2 x^{3} + 9 x^{2} - 8 x + 2$ $2^{6}\cdot 7^{2}$ $C_2^2$ (as 4T2) trivial $3.40008441411$
4.0.3136.3 $x^{4} + 6 x^{2} + 16$ $2^{6}\cdot 7^{2}$ $C_2^2$ (as 4T2) $[2]$ $1.76274717404$
4.0.3249.1 $x^{4} - x^{3} - 4 x^{2} - 5 x + 25$ $3^{2}\cdot 19^{2}$ $C_2^2$ (as 4T2) trivial $5.71041605276$
4.0.3600.1 $x^{4} + x^{2} + 4$ $2^{4}\cdot 3^{2}\cdot 5^{2}$ $C_2^2$ (as 4T2) $[2]$ $2.63391579385$
4.4.3600.1 $x^{4} - 2 x^{3} - 7 x^{2} + 8 x + 1$ $2^{4}\cdot 3^{2}\cdot 5^{2}$ $C_2^2$ (as 4T2) trivial $2.61534752461$
4.0.3600.2 $x^{4} - 7 x^{2} + 16$ $2^{4}\cdot 3^{2}\cdot 5^{2}$ $C_2^2$ (as 4T2) $[2]$ $4.12687413779$
4.0.3600.3 $x^{4} - 5 x^{2} + 25$ $2^{4}\cdot 3^{2}\cdot 5^{2}$ $C_2^2$ (as 4T2) $[2]$ $4.12687413779$
4.4.4225.1 $x^{4} - 9 x^{2} + 4$ $5^{2}\cdot 13^{2}$ $C_2^2$ (as 4T2) trivial $3.19257767414$
4.0.4624.1 $x^{4} + 9 x^{2} + 16$ $2^{4}\cdot 17^{2}$ $C_2^2$ (as 4T2) $[2]$ $4.18942509452$
4.0.4761.1 $x^{4} - x^{3} - 5 x^{2} - 6 x + 36$ $3^{2}\cdot 23^{2}$ $C_2^2$ (as 4T2) $[3]$ $3.21727197116$
4.0.5776.1 $x^{4} - 9 x^{2} + 25$ $2^{4}\cdot 19^{2}$ $C_2^2$ (as 4T2) trivial $5.82893696698$
4.0.5929.1 $x^{4} + 9 x^{2} + 1$ $7^{2}\cdot 11^{2}$ $C_2^2$ (as 4T2) trivial $2.18464379161$
4.0.6400.1 $x^{4} - 4 x^{2} + 9$ $2^{8}\cdot 5^{2}$ $C_2^2$ (as 4T2) $[2]$ $3.63689291846$
4.0.6400.2 $x^{4} + 4 x^{2} + 9$ $2^{8}\cdot 5^{2}$ $C_2^2$ (as 4T2) $[2]$ $1.76274717404$
4.0.6400.3 $x^{4} + 25$ $2^{8}\cdot 5^{2}$ $C_2^2$ (as 4T2) $[2]$ $3.63689291846$
4.0.7056.1 $x^{4} + 11 x^{2} + 25$ $2^{4}\cdot 3^{2}\cdot 7^{2}$ $C_2^2$ (as 4T2) $[2]$ $3.13359847394$
4.4.7056.1 $x^{4} - 5 x^{2} + 1$ $2^{4}\cdot 3^{2}\cdot 7^{2}$ $C_2^2$ (as 4T2) trivial $5.7128756596$
4.0.7056.2 $x^{4} - 2 x^{3} - x^{2} + 2 x + 22$ $2^{4}\cdot 3^{2}\cdot 7^{2}$ $C_2^2$ (as 4T2) $[2]$ $2.63391579385$
4.0.7056.3 $x^{4} + 7 x^{2} + 49$ $2^{4}\cdot 3^{2}\cdot 7^{2}$ $C_2^2$ (as 4T2) $[2]$ $5.53731876663$
4.4.7225.1 $x^{4} - 11 x^{2} + 9$ $5^{2}\cdot 17^{2}$ $C_2^2$ (as 4T2) trivial $4.45404695945$
4.0.7569.1 $x^{4} - x^{3} + 8 x^{2} + 7 x + 49$ $3^{2}\cdot 29^{2}$ $C_2^2$ (as 4T2) $[3]$ $3.29446229274$
4.0.7744.1 $x^{4} - 2 x^{3} + 11 x^{2} - 10 x + 3$ $2^{6}\cdot 11^{2}$ $C_2^2$ (as 4T2) trivial $5.97634446743$
4.0.7744.2 $x^{4} - 2 x^{3} + 3 x^{2} - 2 x + 23$ $2^{6}\cdot 11^{2}$ $C_2^2$ (as 4T2) trivial $1.76274717404$
4.0.8281.2 $x^{4} - 3 x^{2} + 25$ $7^{2}\cdot 13^{2}$ $C_2^2$ (as 4T2) trivial $2.38952643457$
4.0.8464.1 $x^{4} - 11 x^{2} + 36$ $2^{4}\cdot 23^{2}$ $C_2^2$ (as 4T2) $[3]$ $3.87076670029$
4.0.8649.1 $x^{4} - x^{3} - 7 x^{2} - 8 x + 64$ $3^{2}\cdot 31^{2}$ $C_2^2$ (as 4T2) $[3]$ $3.36610464293$
4.0.9025.1 $x^{4} + 7 x^{2} + 36$ $5^{2}\cdot 19^{2}$ $C_2^2$ (as 4T2) $[4]$ $0.962423650119$
4.4.10816.1 $x^{4} - 2 x^{3} - 9 x^{2} + 10 x - 1$ $2^{6}\cdot 13^{2}$ $C_2^2$ (as 4T2) trivial $4.87014657656$
4.0.10816.2 $x^{4} - 2 x^{3} - x^{2} + 2 x + 27$ $2^{6}\cdot 13^{2}$ $C_2^2$ (as 4T2) $[3]$ $2.38952643457$
4.0.11025.1 $x^{4} - x^{3} + 4 x^{2} - 15 x + 15$ $3^{2}\cdot 5^{2}\cdot 7^{2}$ $C_2^2$ (as 4T2) $[2]$ $3.13359847394$
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