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Results (1-50 of at least 1000)

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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 $0.862554627662$
4.0.432.1 $x^{4} - 3 x^{2} + 3$ $2^{4}\cdot 3^{3}$ $D_{4}$ (as 4T3) trivial $1.66288589106$
4.0.513.1 $x^{4} - x^{3} - 3 x^{2} + 2 x + 4$ $3^{3}\cdot 19$ $D_{4}$ (as 4T3) trivial $1.96497837511$
4.0.837.1 $x^{4} - x^{3} - 3 x^{2} - x + 7$ $3^{3}\cdot 31$ $D_{4}$ (as 4T3) trivial $2.41883810412$
4.0.1161.1 $x^{4} - x^{3} + 6 x^{2} - x + 7$ $3^{3}\cdot 43$ $D_{4}$ (as 4T3) trivial $3.48142350173$
4.0.1728.1 $x^{4} - 6 x^{2} + 12$ $2^{6}\cdot 3^{3}$ $D_{4}$ (as 4T3) trivial $3.9833047821$
4.0.1809.1 $x^{4} - x^{3} - 6 x^{2} + 5 x + 13$ $3^{3}\cdot 67$ $D_{4}$ (as 4T3) trivial $4.61622064387$
4.0.2133.1 $x^{4} - 2 x^{3} - 6 x^{2} + 7 x + 13$ $3^{3}\cdot 79$ $D_{4}$ (as 4T3) trivial $3.86222722813$
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) $[2]$ $2.68739144281$
4.0.2781.1 $x^{4} - x^{3} - 6 x^{2} + 8 x + 19$ $3^{3}\cdot 103$ $D_{4}$ (as 4T3) trivial $4.80415373901$
4.0.3024.2 $x^{4} - 9 x^{2} + 21$ $2^{4}\cdot 3^{3}\cdot 7$ $D_{4}$ (as 4T3) $[2]$ $2.83946989238$
4.0.3429.1 $x^{4} - x^{3} - 9 x^{2} + 5 x + 25$ $3^{3}\cdot 127$ $D_{4}$ (as 4T3) trivial $4.90386531658$
4.0.3753.2 $x^{4} - x^{3} - 9 x^{2} + 2 x + 28$ $3^{3}\cdot 139$ $D_{4}$ (as 4T3) trivial $7.73436281571$
4.0.4077.1 $x^{4} - 2 x^{3} + 12 x^{2} - 11 x + 31$ $3^{3}\cdot 151$ $D_{4}$ (as 4T3) trivial $5.25891043272$
4.0.4401.1 $x^{4} - 2 x^{3} - 9 x^{2} + 10 x + 28$ $3^{3}\cdot 163$ $D_{4}$ (as 4T3) trivial $7.81453972168$
4.2.4671.1 $x^{4} - 2 x^{3} + 3 x^{2} + x - 2$ $-\,3^{3}\cdot 173$ $S_4$ (as 4T5) trivial $4.46593061735$
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) $[2]$ $3.04016113415$
4.0.5373.2 $x^{4} - x^{3} - 9 x^{2} + 11 x + 37$ $3^{3}\cdot 199$ $D_{4}$ (as 4T3) trivial $5.13586702358$
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) $[2]$ $3.27533902619$
4.0.5697.1 $x^{4} - x^{3} + 12 x^{2} - x + 37$ $3^{3}\cdot 211$ $D_{4}$ (as 4T3) trivial $9.21421469757$
4.0.6021.1 $x^{4} - x^{3} - 12 x^{2} + 8 x + 43$ $3^{3}\cdot 223$ $D_{4}$ (as 4T3) trivial $5.19861910065$
4.0.6669.2 $x^{4} - 2 x^{3} - 12 x^{2} + 13 x + 43$ $3^{3}\cdot 13\cdot 19$ $D_{4}$ (as 4T3) $[2]$ $3.26087355202$
4.0.6669.3 $x^{4} - x^{3} - 12 x^{2} + 2 x + 49$ $3^{3}\cdot 13\cdot 19$ $D_{4}$ (as 4T3) $[2]$ $3.36992221513$
4.0.6993.1 $x^{4} - x^{3} - 12 x^{2} + 11 x + 49$ $3^{3}\cdot 7\cdot 37$ $D_{4}$ (as 4T3) $[2]$ $5.28349020732$
4.0.6993.2 $x^{4} - 2 x^{3} + 15 x^{2} - 14 x + 52$ $3^{3}\cdot 7\cdot 37$ $D_{4}$ (as 4T3) $[2]$ $5.5171806571$
4.0.7317.1 $x^{4} - x^{3} + 15 x^{2} - 7 x + 49$ $3^{3}\cdot 271$ $D_{4}$ (as 4T3) trivial $8.32043518627$
4.2.7344.1 $x^{4} - 2 x^{3} - 2 x - 2$ $-\,2^{4}\cdot 3^{3}\cdot 17$ $S_4$ (as 4T5) trivial $5.7985735287$
4.0.7641.2 $x^{4} - x^{3} + 15 x^{2} - 10 x + 52$ $3^{3}\cdot 283$ $D_{4}$ (as 4T3) trivial $9.52253954392$
4.0.8208.1 $x^{4} + 15 x^{2} + 57$ $2^{4}\cdot 3^{3}\cdot 19$ $D_{4}$ (as 4T3) $[2]$ $5.34564414247$
4.0.8289.1 $x^{4} - x^{3} - 12 x^{2} - x + 61$ $3^{3}\cdot 307$ $D_{4}$ (as 4T3) trivial $9.64920216958$
4.2.8640.1 $x^{4} - 2 x^{3} - 3 x^{2} - 2 x + 1$ $-\,2^{6}\cdot 3^{3}\cdot 5$ $D_{4}$ (as 4T3) trivial $5.2314819001$
4.2.8640.2 $x^{4} - 2 x^{3} - 3 x^{2} + 4 x - 2$ $-\,2^{6}\cdot 3^{3}\cdot 5$ $D_{4}$ (as 4T3) trivial $9.96319649523$
4.0.8937.1 $x^{4} + 3 x^{2} - 3 x + 3$ $3^{3}\cdot 331$ $S_4$ (as 4T5) $[2]$ $2.77441073584$
4.0.8937.2 $x^{4} - x^{3} - 15 x^{2} + 8 x + 64$ $3^{3}\cdot 331$ $D_{4}$ (as 4T3) trivial $11.6880944337$
4.2.9531.1 $x^{4} - x^{3} - 6 x^{2} + 8 x + 1$ $-\,3^{3}\cdot 353$ $S_4$ (as 4T5) trivial $3.96756610543$
4.2.9612.1 $x^{4} - x^{3} - 3 x^{2} - x - 2$ $-\,2^{2}\cdot 3^{3}\cdot 89$ $S_4$ (as 4T5) trivial $10.0967765588$
4.0.9909.1 $x^{4} - 2 x^{3} + 18 x^{2} - 17 x + 73$ $3^{3}\cdot 367$ $D_{4}$ (as 4T3) trivial $5.70315762878$
4.4.9909.1 $x^{4} - 6 x^{2} - 3 x + 3$ $3^{3}\cdot 367$ $S_4$ (as 4T5) trivial $5.73611443522$
4.0.10233.1 $x^{4} - 2 x^{3} - 15 x^{2} + 16 x + 67$ $3^{3}\cdot 379$ $D_{4}$ (as 4T3) trivial $12.60601842$
4.0.10800.2 $x^{4} - 15 x^{2} + 75$ $2^{4}\cdot 3^{3}\cdot 5^{2}$ $D_{4}$ (as 4T3) $[2]$ $5.49404633001$
4.0.10881.1 $x^{4} - x^{3} + 18 x^{2} - 7 x + 73$ $3^{3}\cdot 13\cdot 31$ $D_{4}$ (as 4T3) $[2]$ $6.59522126578$
4.0.10881.2 $x^{4} - x^{3} - 15 x^{2} + 14 x + 76$ $3^{3}\cdot 13\cdot 31$ $D_{4}$ (as 4T3) $[2]$ $6.32106253222$
4.0.11529.1 $x^{4} - 2 x^{3} - 15 x^{2} + 16 x + 76$ $3^{3}\cdot 7\cdot 61$ $D_{4}$ (as 4T3) $[2]$ $6.14018566564$
4.0.11529.2 $x^{4} - x^{3} + 18 x^{2} - 13 x + 79$ $3^{3}\cdot 7\cdot 61$ $D_{4}$ (as 4T3) $[4]$ $3.59369018806$
4.0.11853.1 $x^{4} - x^{3} + 18 x^{2} - 4 x + 79$ $3^{3}\cdot 439$ $D_{4}$ (as 4T3) trivial $6.15355382374$
4.0.12096.1 $x^{4} - 18 x^{2} + 84$ $2^{6}\cdot 3^{3}\cdot 7$ $D_{4}$ (as 4T3) $[2]$ $6.08213066459$
4.0.12096.2 $x^{4} + 18 x^{2} + 84$ $2^{6}\cdot 3^{3}\cdot 7$ $D_{4}$ (as 4T3) $[2]$ $4.99256923393$
4.2.12204.1 $x^{4} - x^{3} - 4 x - 2$ $-\,2^{2}\cdot 3^{3}\cdot 113$ $S_4$ (as 4T5) trivial $12.4588594496$
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