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Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)

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Results (1-50 of 896785 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
4.0.1521.1 $x^{4} - x^{3} + 4 x^{2} + 3 x + 9$ $3^{2}\cdot 13^{2}$ $C_2^2$ (as 4T2) $[2]$ $2.38952643457$
4.0.1872.1 $x^{4} + 7 x^{2} + 13$ $2^{4}\cdot 3^{2}\cdot 13$ $D_{4}$ (as 4T3) $[2]$ $2.575278132$
4.0.2304.1 $x^{4} + 4 x^{2} + 1$ $2^{8}\cdot 3^{2}$ $C_2^2$ (as 4T2) $[2]$ $1.31695789692$
4.0.2304.2 $x^{4} + 9$ $2^{8}\cdot 3^{2}$ $C_2^2$ (as 4T2) $[2]$ $2.29243166956$
4.0.2448.1 $x^{4} - x^{2} - 6 x + 10$ $2^{4}\cdot 3^{2}\cdot 17$ $D_{4}$ (as 4T3) $[2]$ $3.23198305835$
4.0.2457.1 $x^{4} - x^{3} + 9 x^{2} - 4 x + 16$ $3^{3}\cdot 7\cdot 13$ $D_{4}$ (as 4T3) $[2]$ $2.87383998018$
4.0.2457.2 $x^{4} - x^{3} - 6 x^{2} - x + 19$ $3^{3}\cdot 7\cdot 13$ $D_{4}$ (as 4T3) $[2]$ $2.68739144281$
4.0.2880.1 $x^{4} - 2 x^{3} - 4 x^{2} + 2 x + 13$ $2^{6}\cdot 3^{2}\cdot 5$ $D_{4}$ (as 4T3) $[2]$ $2.4529137425$
4.0.2889.1 $x^{4} - x^{3} + 3 x^{2} + 2 x + 1$ $3^{3}\cdot 107$ $S_4$ (as 4T5) $[2]$ $1.33243180303$
4.0.2925.1 $x^{4} - x^{3} - 8 x^{2} + 6 x + 21$ $3^{2}\cdot 5^{2}\cdot 13$ $D_{4}$ (as 4T3) $[2]$ $2.96848939951$
4.0.3024.2 $x^{4} - 9 x^{2} + 21$ $2^{4}\cdot 3^{3}\cdot 7$ $D_{4}$ (as 4T3) $[2]$ $2.83946989238$
4.0.3025.1 $x^{4} + 3 x^{2} + 16$ $5^{2}\cdot 11^{2}$ $C_2^2$ (as 4T2) $[2]$ $0.962423650119$
4.0.3136.3 $x^{4} + 6 x^{2} + 16$ $2^{6}\cdot 7^{2}$ $C_2^2$ (as 4T2) $[2]$ $1.76274717404$
4.0.3528.1 $x^{4} - x^{3} + 5 x^{2} - 5 x + 4$ $2^{3}\cdot 3^{2}\cdot 7^{2}$ $D_{4}$ (as 4T3) $[2]$ $2.79876781094$
4.0.3600.1 $x^{4} + x^{2} + 4$ $2^{4}\cdot 3^{2}\cdot 5^{2}$ $C_2^2$ (as 4T2) $[2]$ $2.63391579385$
4.0.3600.2 $x^{4} - 7 x^{2} + 16$ $2^{4}\cdot 3^{2}\cdot 5^{2}$ $C_2^2$ (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) $[2]$ $4.12687413779$
4.0.3625.1 $x^{4} - x^{3} + 6 x^{2} - x + 11$ $5^{3}\cdot 29$ $D_{4}$ (as 4T3) $[2]$ $0.962423650119$
4.0.3636.1 $x^{4} - x^{3} - x^{2} + x + 4$ $2^{2}\cdot 3^{2}\cdot 101$ $S_4$ (as 4T5) $[2]$ $1.95638710674$
4.0.3700.1 $x^{4} - x^{3} + 5 x^{2} - 3 x + 4$ $2^{2}\cdot 5^{2}\cdot 37$ $S_4$ (as 4T5) $[2]$ $2.29746551653$
4.0.3897.1 $x^{4} - x^{3} - 8 x^{2} + 9 x + 27$ $3^{2}\cdot 433$ $D_{4}$ (as 4T3) $[3]$ $3.03765985167$
4.0.4225.1 $x^{4} - x^{3} - 3 x + 4$ $5^{2}\cdot 13^{2}$ $A_4$ (as 4T4) $[2]$ $1.5729532878$
4.0.4232.1 $x^{4} - x^{3} + 4 x^{2} + x + 1$ $2^{3}\cdot 23^{2}$ $D_{4}$ (as 4T3) $[3]$ $1.42903624604$
4.0.4257.1 $x^{4} - x^{3} + 5 x^{2} - 2 x + 1$ $3^{2}\cdot 11\cdot 43$ $S_4$ (as 4T5) $[2]$ $1.5123335985$
4.0.4329.1 $x^{4} - x^{3} - 10 x^{2} + 7 x + 31$ $3^{2}\cdot 13\cdot 37$ $D_{4}$ (as 4T3) $[2]$ $3.0642862663$
4.0.4329.2 $x^{4} - x^{3} + 11 x^{2} - 2 x + 28$ $3^{2}\cdot 13\cdot 37$ $D_{4}$ (as 4T3) $[2]$ $3.01636186336$
4.0.4352.1 $x^{4} - 2 x^{2} - 4 x + 6$ $2^{8}\cdot 17$ $D_{4}$ (as 4T3) $[2]$ $1.94302538916$
4.0.4352.2 $x^{4} - 8 x^{2} + 17$ $2^{8}\cdot 17$ $D_{4}$ (as 4T3) $[2]$ $2.78404926402$
4.0.4400.1 $x^{4} + 7 x^{2} + 11$ $2^{4}\cdot 5^{2}\cdot 11$ $D_{4}$ (as 4T3) $[2]$ $0.962423650119$
4.0.4608.1 $x^{4} - 6 x^{2} + 18$ $2^{9}\cdot 3^{2}$ $D_{4}$ (as 4T3) $[2]$ $2.91403538772$
4.0.4624.1 $x^{4} + 9 x^{2} + 16$ $2^{4}\cdot 17^{2}$ $C_2^2$ (as 4T2) $[2]$ $4.18942509452$
4.0.4725.1 $x^{4} - x^{3} + 12 x^{2} - 4 x + 31$ $3^{3}\cdot 5^{2}\cdot 7$ $D_{4}$ (as 4T3) $[2]$ $3.04016113415$
4.0.4752.1 $x^{4} + 3 x^{2} - 6 x + 6$ $2^{4}\cdot 3^{3}\cdot 11$ $D_{4}$ (as 4T3) $[2]$ $2.63391579385$
4.0.4761.1 $x^{4} - x^{3} - 5 x^{2} - 6 x + 36$ $3^{2}\cdot 23^{2}$ $C_2^2$ (as 4T2) $[3]$ $3.21727197116$
4.0.4805.1 $x^{4} - 2 x^{3} + 2 x^{2} - x + 8$ $5\cdot 31^{2}$ $D_{4}$ (as 4T3) $[3]$ $1.80358267247$
4.0.5076.1 $x^{4} - x^{3} + 3 x^{2} - x + 4$ $2^{2}\cdot 3^{3}\cdot 47$ $S_4$ (as 4T5) $[2]$ $2.98491079846$
4.0.5225.1 $x^{4} - x^{3} + 7 x^{2} - 4 x + 16$ $5^{2}\cdot 11\cdot 19$ $D_{4}$ (as 4T3) $[2]$ $0.962423650119$
4.0.5328.1 $x^{4} + 11 x^{2} + 37$ $2^{4}\cdot 3^{2}\cdot 37$ $D_{4}$ (as 4T3) $[2]$ $3.26297886337$
4.0.5400.1 $x^{4} - x^{3} + 2 x + 4$ $2^{3}\cdot 3^{3}\cdot 5^{2}$ $D_{4}$ (as 4T3) $[2]$ $4.34612583115$
4.0.5400.2 $x^{4} - 3 x^{2} + 6$ $2^{3}\cdot 3^{3}\cdot 5^{2}$ $D_{4}$ (as 4T3) $[2]$ $2.28206666727$
4.0.5440.1 $x^{4} - 2 x^{3} - 4 x^{2} - 2 x + 25$ $2^{6}\cdot 5\cdot 17$ $D_{4}$ (as 4T3) $[2]$ $3.64839740439$
4.0.5440.2 $x^{4} - 2 x^{3} - 8 x + 26$ $2^{6}\cdot 5\cdot 17$ $D_{4}$ (as 4T3) $[2]$ $2.89946869917$
4.0.5445.1 $x^{4} - x^{3} + 4 x^{2} - 6 x + 3$ $3^{2}\cdot 5\cdot 11^{2}$ $D_{4}$ (as 4T3) $[2]$ $1.73659607992$
4.0.5517.1 $x^{4} - x^{3} - 11 x^{2} + 9 x + 39$ $3^{2}\cdot 613$ $D_{4}$ (as 4T3) $[3]$ $3.12832191208$
4.0.5616.1 $x^{4} - 12 x^{2} + 39$ $2^{4}\cdot 3^{3}\cdot 13$ $D_{4}$ (as 4T3) $[2]$ $4.32355945045$
4.0.5616.2 $x^{4} + 12 x^{2} + 39$ $2^{4}\cdot 3^{3}\cdot 13$ $D_{4}$ (as 4T3) $[2]$ $3.27533902619$
4.0.5648.1 $x^{4} - 2 x^{3} - 7 x^{2} + 8 x + 20$ $2^{4}\cdot 353$ $D_{4}$ (as 4T3) $[3]$ $3.57683918629$
4.0.5733.1 $x^{4} - x^{3} + 13 x^{2} - 9 x + 39$ $3^{2}\cdot 7^{2}\cdot 13$ $D_{4}$ (as 4T3) $[2]$ $4.30871423619$
4.0.5744.1 $x^{4} + x^{2} - 4 x + 3$ $2^{4}\cdot 359$ $S_4$ (as 4T5) $[2]$ $1.78641007012$
4.0.5904.1 $x^{4} - 7 x^{2} - 6 x + 25$ $2^{4}\cdot 3^{2}\cdot 41$ $D_{4}$ (as 4T3) $[2]$ $2.89310593284$
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