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Results (1-50 of 847288 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
4.0.189.1 $x^{4} - x^{3} + 2 x + 1$ $3^{3}\cdot 7$ $D_{4}$ (as 4T3) trivial $0.862554627662$
4.2.448.1 $x^{4} - 2 x^{3} + x^{2} - 2 x + 1$ $-\,2^{6}\cdot 7$ $D_{4}$ (as 4T3) trivial $0.557886846205$
4.0.1008.1 $x^{4} - 5 x^{2} + 7$ $2^{4}\cdot 3^{2}\cdot 7$ $D_{4}$ (as 4T3) trivial $3.39588318368$
4.2.1456.1 $x^{4} - 2 x^{2} - 2 x + 1$ $-\,2^{4}\cdot 7\cdot 13$ $S_4$ (as 4T5) trivial $1.76052319498$
4.0.1953.1 $x^{4} - 2 x^{3} - 5 x^{2} + 6 x + 12$ $3^{2}\cdot 7\cdot 31$ $D_{4}$ (as 4T3) trivial $5.73065616586$
4.0.1953.2 $x^{4} - x^{3} + 8 x^{2} - 5 x + 13$ $3^{2}\cdot 7\cdot 31$ $D_{4}$ (as 4T3) trivial $3.77444756158$
4.2.2051.1 $x^{4} - x^{3} - x^{2} + 3 x + 1$ $-\,7\cdot 293$ $S_4$ (as 4T5) trivial $1.74300316753$
4.2.2191.1 $x^{4} - x^{3} + 3 x^{2} - 1$ $-\,7\cdot 313$ $S_4$ (as 4T5) trivial $2.32583009081$
4.2.2219.1 $x^{4} - x^{3} + 3 x^{2} - x - 1$ $-\,7\cdot 317$ $S_4$ (as 4T5) trivial $1.50383646997$
4.0.2296.1 $x^{4} - x^{3} - 2 x^{2} + x + 3$ $2^{3}\cdot 7\cdot 41$ $S_4$ (as 4T5) trivial $2.58271206295$
4.0.2429.1 $x^{4} - x^{3} - 2 x^{2} + 2 x + 3$ $7\cdot 347$ $S_4$ (as 4T5) trivial $1.89610142329$
4.2.2443.1 $x^{4} - 3 x - 1$ $-\,7\cdot 349$ $S_4$ (as 4T5) trivial $2.221501113$
4.0.2457.2 $x^{4} - x^{3} - 6 x^{2} - x + 19$ $3^{3}\cdot 7\cdot 13$ $D_{4}$ (as 4T3) $[2]$ $2.68739144281$
4.0.2709.1 $x^{4} - x^{3} - 7 x^{2} + 7 x + 19$ $3^{2}\cdot 7\cdot 43$ $D_{4}$ (as 4T3) trivial $2.95085943144$
4.0.3024.1 $x^{4} - 2 x^{3} + 3$ $2^{4}\cdot 3^{3}\cdot 7$ $S_4$ (as 4T5) trivial $3.35716994393$
4.2.3052.1 $x^{4} - x^{3} + x^{2} - x - 2$ $-\,2^{2}\cdot 7\cdot 109$ $S_4$ (as 4T5) trivial $4.08318775963$
4.2.4032.1 $x^{4} - 2 x^{3} - x^{2} - 4 x - 2$ $-\,2^{6}\cdot 3^{2}\cdot 7$ $D_{4}$ (as 4T3) trivial $4.93352004952$
4.0.4032.2 $x^{4} - 10 x^{2} + 28$ $2^{6}\cdot 3^{2}\cdot 7$ $D_{4}$ (as 4T3) trivial $4.43462099913$
4.0.4221.2 $x^{4} - 2 x^{3} - 8 x^{2} + 9 x + 27$ $3^{2}\cdot 7\cdot 67$ $D_{4}$ (as 4T3) trivial $6.94481290844$
4.2.4319.1 $x^{4} - x^{3} - 4 x^{2} - x + 2$ $-\,7\cdot 617$ $S_4$ (as 4T5) trivial $4.0888753021$
4.2.4564.1 $x^{4} - x^{3} - 5 x + 1$ $-\,2^{2}\cdot 7\cdot 163$ $S_4$ (as 4T5) trivial $4.06824093953$
4.2.4648.1 $x^{4} + x^{2} - 6 x - 4$ $-\,2^{3}\cdot 7\cdot 83$ $S_4$ (as 4T5) trivial $3.84770233495$
4.2.4907.1 $x^{4} - x^{3} - 2 x^{2} - 4 x - 1$ $-\,7\cdot 701$ $S_4$ (as 4T5) trivial $2.67065772309$
4.0.4977.2 $x^{4} - x^{3} - 11 x^{2} + 6 x + 36$ $3^{2}\cdot 7\cdot 79$ $D_{4}$ (as 4T3) trivial $10.2452243803$
4.2.5348.1 $x^{4} - x^{3} + 4 x^{2} - x - 1$ $-\,2^{2}\cdot 7\cdot 191$ $S_4$ (as 4T5) trivial $5.12711239714$
4.2.5432.1 $x^{4} - x^{3} + x - 3$ $-\,2^{3}\cdot 7\cdot 97$ $S_4$ (as 4T5) trivial $5.14834890155$
4.2.5887.1 $x^{4} - x^{3} - 3 x^{2} - 2 x + 4$ $-\,7\cdot 29^{2}$ $D_{4}$ (as 4T3) trivial $3.66933704259$
4.0.6209.1 $x^{4} + x^{2} - x + 3$ $7\cdot 887$ $S_4$ (as 4T5) trivial $5.47370730723$
4.0.6489.1 $x^{4} - x^{3} + 14 x^{2} - 5 x + 43$ $3^{2}\cdot 7\cdot 103$ $D_{4}$ (as 4T3) trivial $6.95569001881$
4.0.6489.2 $x^{4} - x^{3} - 11 x^{2} + 48$ $3^{2}\cdot 7\cdot 103$ $D_{4}$ (as 4T3) trivial $11.971170067$
4.0.6685.1 $x^{4} - 2 x^{3} + 4 x^{2} - x + 3$ $5\cdot 7\cdot 191$ $S_4$ (as 4T5) trivial $2.49243428852$
4.0.6832.1 $x^{4} - x^{2} - 2 x + 9$ $2^{4}\cdot 7\cdot 61$ $S_4$ (as 4T5) trivial $3.3284420423$
4.4.7168.1 $x^{4} - 6 x^{2} + 7$ $2^{10}\cdot 7$ $D_{4}$ (as 4T3) trivial $5.71497174049$
4.2.7259.1 $x^{4} + 4 x^{2} - x - 1$ $-\,7\cdot 17\cdot 61$ $S_4$ (as 4T5) trivial $3.59922058717$
4.0.7504.1 $x^{4} + 5 x^{2} - 2 x + 1$ $2^{4}\cdot 7\cdot 67$ $S_4$ (as 4T5) $[2]$ $1.60432887661$
4.2.7532.1 $x^{4} - 4 x^{2} - 2 x - 3$ $-\,2^{2}\cdot 7\cdot 269$ $S_4$ (as 4T5) trivial $8.7931660691$
4.2.7616.2 $x^{4} - 2 x^{3} + 5 x^{2} + 6 x - 9$ $-\,2^{6}\cdot 7\cdot 17$ $D_{4}$ (as 4T3) trivial $3.05293335278$
4.0.8001.2 $x^{4} - x^{3} - 14 x^{2} + 9 x + 57$ $3^{2}\cdot 7\cdot 127$ $D_{4}$ (as 4T3) $[3]$ $4.50217431324$
4.0.8057.1 $x^{4} - 2 x^{3} + 5 x^{2} - x + 2$ $7\cdot 1151$ $S_4$ (as 4T5) trivial $4.27431774552$
4.0.8092.1 $x^{4} - x^{3} + 5 x^{2} - 4 x + 6$ $2^{2}\cdot 7\cdot 17^{2}$ $S_4$ (as 4T5) trivial $5.04437571067$
4.2.8127.1 $x^{4} - x^{3} - 7 x - 2$ $-\,3^{3}\cdot 7\cdot 43$ $S_4$ (as 4T5) trivial $7.39292359987$
4.0.8757.1 $x^{4} - 2 x^{3} - 14 x^{2} + 15 x + 57$ $3^{2}\cdot 7\cdot 139$ $D_{4}$ (as 4T3) trivial $9.87643489185$
4.0.8757.2 $x^{4} - x^{3} - 13 x^{2} + 13 x + 61$ $3^{2}\cdot 7\cdot 139$ $D_{4}$ (as 4T3) trivial $4.55680865694$
4.2.8960.1 $x^{4} - 4 x - 2$ $-\,2^{8}\cdot 5\cdot 7$ $S_4$ (as 4T5) trivial $6.77162446352$
4.2.9247.1 $x^{4} - x^{3} - 3 x^{2} + 6 x - 1$ $-\,7\cdot 1321$ $S_4$ (as 4T5) trivial $5.01419715012$
4.0.9513.1 $x^{4} - x^{3} + 17 x^{2} - 8 x + 64$ $3^{2}\cdot 7\cdot 151$ $D_{4}$ (as 4T3) trivial $8.86177553195$
4.2.9583.1 $x^{4} - 3 x^{2} - 7$ $-\,7\cdot 37^{2}$ $D_{4}$ (as 4T3) trivial $6.57797666237$
4.2.9667.1 $x^{4} - 2 x^{3} - 2 x^{2} - x + 2$ $-\,7\cdot 1381$ $S_4$ (as 4T5) trivial $9.48334045014$
4.2.10059.1 $x^{4} - x^{3} - 2 x^{2} - 6 x + 3$ $-\,3\cdot 7\cdot 479$ $S_4$ (as 4T5) trivial $4.38511200459$
4.0.10269.2 $x^{4} - x^{3} - 14 x^{2} + 75$ $3^{2}\cdot 7\cdot 163$ $D_{4}$ (as 4T3) trivial $10.2278465093$
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