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Results (1-50 of 163862 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
4.2.731.1 $x^{4} - x^{3} + 2 x^{2} - 1$ $-\,17\cdot 43$ $S_4$ (as 4T5) trivial $0.866830073687$
4.0.1161.1 $x^{4} - x^{3} + 6 x^{2} - x + 7$ $3^{3}\cdot 43$ $D_{4}$ (as 4T3) trivial $3.48142350173$
4.0.4257.1 $x^{4} - x^{3} + 5 x^{2} - 2 x + 1$ $3^{2}\cdot 11\cdot 43$ $S_4$ (as 4T5) $[2]$ $1.5123335985$
4.0.6192.2 $x^{4} + 13 x^{2} + 43$ $2^{4}\cdot 3^{2}\cdot 43$ $D_{4}$ (as 4T3) trivial $9.5751270468$
4.2.6880.1 $x^{4} - 2 x^{3} - x^{2} - 4 x + 2$ $-\,2^{5}\cdot 5\cdot 43$ $S_4$ (as 4T5) trivial $7.31311030465$
4.0.7353.1 $x^{4} - x^{3} - 13 x^{2} + 10 x + 52$ $3^{2}\cdot 19\cdot 43$ $D_{4}$ (as 4T3) trivial $8.11480861195$
4.0.7353.2 $x^{4} - 2 x^{3} - 11 x^{2} + 12 x + 48$ $3^{2}\cdot 19\cdot 43$ $D_{4}$ (as 4T3) trivial $13.5464761994$
4.2.7912.1 $x^{4} - x^{3} + 6 x - 4$ $-\,2^{3}\cdot 23\cdot 43$ $S_4$ (as 4T5) trivial $11.234588389$
4.2.8127.1 $x^{4} - x^{3} - 7 x - 2$ $-\,3^{3}\cdot 7\cdot 43$ $S_4$ (as 4T5) trivial $7.39292359987$
4.2.8256.1 $x^{4} - 2 x^{3} + x^{2} - 6 x - 3$ $-\,2^{6}\cdot 3\cdot 43$ $S_4$ (as 4T5) trivial $4.64800887605$
4.0.8256.1 $x^{4} - 2 x^{3} - 3 x^{2} + 2 x + 11$ $2^{6}\cdot 3\cdot 43$ $D_{4}$ (as 4T3) trivial $4.91368049745$
4.0.8256.2 $x^{4} - 2 x^{3} + x^{2} + 8$ $2^{6}\cdot 3\cdot 43$ $D_{4}$ (as 4T3) trivial $7.31162927789$
4.0.8428.2 $x^{4} - x^{3} + 4 x^{2} + 6 x + 8$ $2^{2}\cdot 7^{2}\cdot 43$ $D_{4}$ (as 4T3) trivial $9.73447587067$
4.0.10664.1 $x^{4} + 7 x^{2} - 2 x + 12$ $2^{3}\cdot 31\cdot 43$ $S_4$ (as 4T5) trivial $8.24578585003$
4.0.11997.1 $x^{4} - 2 x^{3} - 16 x^{2} + 17 x + 79$ $3^{2}\cdot 31\cdot 43$ $D_{4}$ (as 4T3) trivial $6.37345710774$
4.2.12083.1 $x^{4} - x^{3} - 3 x^{2} - x + 5$ $-\,43\cdot 281$ $S_4$ (as 4T5) trivial $3.88284769013$
4.2.12427.1 $x^{4} - 2 x^{3} + 4 x^{2} - 3 x - 2$ $-\,17^{2}\cdot 43$ $D_{4}$ (as 4T3) trivial $10.7705254206$
4.2.13631.1 $x^{4} - 3 x^{2} - 3 x + 4$ $-\,43\cdot 317$ $S_4$ (as 4T5) trivial $7.75820905156$
4.0.13932.1 $x^{4} - x^{3} - 3 x^{2} + 4 x + 8$ $2^{2}\cdot 3^{4}\cdot 43$ $S_4$ (as 4T5) trivial $9.13089655453$
4.0.15093.1 $x^{4} - x^{3} + 21 x^{2} - 13 x + 103$ $3^{3}\cdot 13\cdot 43$ $D_{4}$ (as 4T3) $[2]$ $3.66227675015$
4.0.15093.2 $x^{4} - x^{3} - 18 x^{2} + 2 x + 109$ $3^{3}\cdot 13\cdot 43$ $D_{4}$ (as 4T3) $[2]$ $6.48250777374$
4.0.15265.1 $x^{4} - 2 x^{3} + 7 x^{2} - 5 x + 5$ $5\cdot 43\cdot 71$ $S_4$ (as 4T5) $[3]$ $2.75280639223$
4.2.15308.1 $x^{4} - x^{3} + 2 x^{2} - 6 x + 2$ $-\,2^{2}\cdot 43\cdot 89$ $S_4$ (as 4T5) trivial $13.7736725611$
4.2.15652.1 $x^{4} - x^{3} + 3 x - 7$ $-\,2^{2}\cdot 7\cdot 13\cdot 43$ $S_4$ (as 4T5) trivial $8.53653027588$
4.0.16856.1 $x^{4} - x^{3} + 7 x^{2} - 13 x + 22$ $2^{3}\cdot 7^{2}\cdot 43$ $D_{4}$ (as 4T3) trivial $14.1943811486$
4.0.16856.2 $x^{4} - x^{3} - 8 x^{2} + 5 x + 25$ $2^{3}\cdot 7^{2}\cdot 43$ $D_{4}$ (as 4T3) trivial $6.38814806045$
4.2.18576.1 $x^{4} - 2 x^{3} + 3 x^{2} + 10 x + 1$ $-\,2^{4}\cdot 3^{3}\cdot 43$ $S_4$ (as 4T5) trivial $7.20576533044$
4.2.19651.1 $x^{4} - x^{3} + 4 x - 5$ $-\,43\cdot 457$ $S_4$ (as 4T5) trivial $5.10196882295$
4.0.23177.1 $x^{4} - 2 x^{3} + 11 x^{2} - 10 x + 32$ $7^{2}\cdot 11\cdot 43$ $D_{4}$ (as 4T3) trivial $29.7875812205$
4.2.23220.1 $x^{4} - x^{3} + 3 x^{2} + 8 x - 2$ $-\,2^{2}\cdot 3^{3}\cdot 5\cdot 43$ $S_4$ (as 4T5) trivial $16.2974824439$
4.2.24295.1 $x^{4} + x^{2} - 4 x - 11$ $-\,5\cdot 43\cdot 113$ $S_4$ (as 4T5) trivial $7.58161876617$
4.0.24768.1 $x^{4} - 26 x^{2} + 172$ $2^{6}\cdot 3^{2}\cdot 43$ $D_{4}$ (as 4T3) trivial $25.4818097101$
4.0.25929.2 $x^{4} - x^{3} + 26 x^{2} - 5 x + 175$ $3^{2}\cdot 43\cdot 67$ $D_{4}$ (as 4T3) trivial $19.2101312152$
4.4.27004.1 $x^{4} - x^{3} - 6 x^{2} + 3 x + 1$ $2^{2}\cdot 43\cdot 157$ $S_4$ (as 4T5) trivial $18.1968572755$
4.0.28165.1 $x^{4} + 6 x^{2} - x + 4$ $5\cdot 43\cdot 131$ $S_4$ (as 4T5) trivial $19.2356880299$
4.2.28208.1 $x^{4} - 2 x^{3} + 8 x^{2} - 6 x - 5$ $-\,2^{4}\cdot 41\cdot 43$ $S_4$ (as 4T5) trivial $13.9006360512$
4.2.29283.1 $x^{4} - x^{3} + 2 x^{2} + 4 x - 3$ $-\,3\cdot 43\cdot 227$ $S_4$ (as 4T5) trivial $12.3830678377$
4.0.30272.1 $x^{4} - 2 x^{3} + 6 x^{2} + 2$ $2^{6}\cdot 11\cdot 43$ $S_4$ (as 4T5) trivial $5.72633500202$
4.0.30272.2 $x^{4} - 2 x^{3} - 2 x^{2} + 2 x + 7$ $2^{6}\cdot 11\cdot 43$ $S_4$ (as 4T5) trivial $12.1767693445$
4.0.30272.3 $x^{4} - 2 x^{3} - 9 x^{2} + 10 x + 27$ $2^{6}\cdot 11\cdot 43$ $D_{4}$ (as 4T3) trivial $8.22174823422$
4.0.30573.1 $x^{4} - x^{3} - 28 x^{2} + 10 x + 217$ $3^{2}\cdot 43\cdot 79$ $D_{4}$ (as 4T3) $[3]$ $4.05394852774$
4.0.32121.1 $x^{4} - x^{3} + x^{2} + 6 x + 9$ $3^{2}\cdot 43\cdot 83$ $S_4$ (as 4T5) $[2]$ $6.75298218614$
4.2.33067.1 $x^{4} - 2 x^{3} + 4 x^{2} + 3 x - 2$ $-\,43\cdot 769$ $S_4$ (as 4T5) trivial $23.4048630908$
4.2.34572.1 $x^{4} - x^{3} + 5 x^{2} - 7 x - 2$ $-\,2^{2}\cdot 3\cdot 43\cdot 67$ $S_4$ (as 4T5) trivial $22.9123368741$
4.2.34787.1 $x^{4} - 10 x^{2} - 9 x + 9$ $-\,43\cdot 809$ $S_4$ (as 4T5) trivial $16.7005473673$
4.2.35303.1 $x^{4} - x^{3} - x^{2} - 6 x - 1$ $-\,43\cdot 821$ $S_4$ (as 4T5) trivial $12.5373394699$
4.0.35733.1 $x^{4} - x^{3} + 8 x^{2} + 10 x + 3$ $3\cdot 43\cdot 277$ $S_4$ (as 4T5) trivial $10.2660812213$
4.2.37883.1 $x^{4} - x^{3} + 9 x^{2} - 4 x - 4$ $-\,43\cdot 881$ $S_4$ (as 4T5) trivial $22.6927057546$
4.2.37883.2 $x^{4} - 3 x^{2} - 12 x + 1$ $-\,43\cdot 881$ $S_4$ (as 4T5) trivial $6.77886463881$
4.2.38399.1 $x^{4} - 2 x^{3} - 3 x^{2} - x - 3$ $-\,19\cdot 43\cdot 47$ $S_4$ (as 4T5) trivial $12.7848254669$
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