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Label Polynomial Discriminant Galois group Class group Regulator
4.2.507.1 $x^{4} - x^{3} - x^{2} - x + 1$ $-\,3\cdot 13^{2}$ $D_{4}$ (as 4T3) trivial $0.649395711926$
4.0.1257.1 $x^{4} - x^{2} - x + 2$ $3\cdot 419$ $S_4$ (as 4T5) trivial $1.53881468575$
4.2.1371.1 $x^{4} + 2 x^{2} - x - 1$ $-\,3\cdot 457$ $S_4$ (as 4T5) trivial $1.34876542307$
4.0.1509.1 $x^{4} - x^{3} + 2 x^{2} + 2 x + 1$ $3\cdot 503$ $S_4$ (as 4T5) trivial $1.15088729577$
4.0.1929.1 $x^{4} - x^{3} + 4 x^{2} - 3 x + 2$ $3\cdot 643$ $S_4$ (as 4T5) trivial $2.09235121385$
4.2.1968.1 $x^{4} - 4 x^{2} - 2 x + 2$ $-\,2^{4}\cdot 3\cdot 41$ $S_4$ (as 4T5) trivial $2.39920685452$
4.0.2112.1 $x^{4} - 2 x^{3} + x^{2} + 2$ $2^{6}\cdot 3\cdot 11$ $D_{4}$ (as 4T3) trivial $3.154720162$
4.0.2112.2 $x^{4} - 2 x^{3} + 5 x^{2} - 2 x + 1$ $2^{6}\cdot 3\cdot 11$ $D_{4}$ (as 4T3) trivial $1.41831613497$
4.0.2256.1 $x^{4} + 2 x^{2} - 2 x + 2$ $2^{4}\cdot 3\cdot 47$ $S_4$ (as 4T5) trivial $2.32743503275$
4.0.2292.1 $x^{4} - x^{3} + 2 x^{2} - 4 x + 4$ $2^{2}\cdot 3\cdot 191$ $S_4$ (as 4T5) trivial $3.33257232251$
4.2.2319.1 $x^{4} - x^{3} - 2 x^{2} + 3 x + 2$ $-\,3\cdot 773$ $S_4$ (as 4T5) trivial $2.69667127148$
4.2.2859.1 $x^{4} - x^{3} - x^{2} + 3 x - 3$ $-\,3\cdot 953$ $S_4$ (as 4T5) trivial $2.14750592735$
4.0.3072.1 $x^{4} - 2 x^{2} + 3$ $2^{10}\cdot 3$ $D_{4}$ (as 4T3) trivial $2.55337373676$
4.2.3216.1 $x^{4} - 2 x^{3} - x^{2} + 3$ $-\,2^{4}\cdot 3\cdot 67$ $S_4$ (as 4T5) trivial $2.57648542328$
4.2.3504.1 $x^{4} - 2 x^{3} + 4 x^{2} - 1$ $-\,2^{4}\cdot 3\cdot 73$ $S_4$ (as 4T5) trivial $3.68015998926$
4.0.3624.1 $x^{4} - x^{3} + 2 x^{2} - 3 x + 3$ $2^{3}\cdot 3\cdot 151$ $S_4$ (as 4T5) trivial $3.41133013562$
4.0.3648.2 $x^{4} - 2 x^{3} - x^{2} + 6$ $2^{6}\cdot 3\cdot 19$ $D_{4}$ (as 4T3) trivial $4.4918649374$
4.2.3723.1 $x^{4} - x^{3} + x^{2} + 3 x - 1$ $-\,3\cdot 17\cdot 73$ $S_4$ (as 4T5) trivial $2.32652008638$
4.0.3732.1 $x^{4} - x^{3} + 4 x^{2} + 2$ $2^{2}\cdot 3\cdot 311$ $S_4$ (as 4T5) trivial $4.64094185205$
4.2.3747.1 $x^{4} - x^{3} + x^{2} - 3 x - 1$ $-\,3\cdot 1249$ $S_4$ (as 4T5) trivial $2.64864092718$
4.2.3891.1 $x^{4} - x^{3} - 4 x^{2} + 3$ $-\,3\cdot 1297$ $S_4$ (as 4T5) trivial $2.58652290112$
4.4.3981.1 $x^{4} - x^{3} - 4 x^{2} + 2 x + 1$ $3\cdot 1327$ $S_4$ (as 4T5) trivial $3.18893941247$
4.2.3984.1 $x^{4} - 2 x^{3} + 2 x^{2} + 6 x - 3$ $-\,2^{4}\cdot 3\cdot 83$ $S_4$ (as 4T5) trivial $2.87210608184$
4.0.3993.1 $x^{4} - x^{3} - x^{2} + 2 x + 4$ $3\cdot 11^{3}$ $D_{4}$ (as 4T3) trivial $2.77599269442$
4.2.4152.1 $x^{4} - x^{3} + x^{2} - 4$ $-\,2^{3}\cdot 3\cdot 173$ $S_4$ (as 4T5) trivial $4.27602685675$
4.0.4281.1 $x^{4} - x^{3} - x^{2} + 3$ $3\cdot 1427$ $S_4$ (as 4T5) trivial $3.19008741854$
4.2.4287.1 $x^{4} - x^{3} + 2 x^{2} - x - 2$ $-\,3\cdot 1429$ $S_4$ (as 4T5) trivial $4.01688957315$
4.0.4344.1 $x^{4} - x^{3} + 4 x^{2} - 3 x + 5$ $2^{3}\cdot 3\cdot 181$ $S_4$ (as 4T5) trivial $3.90405538055$
4.2.4503.1 $x^{4} - 2 x^{3} + x^{2} - 3 x - 1$ $-\,3\cdot 19\cdot 79$ $S_4$ (as 4T5) trivial $4.12933685589$
4.0.4596.1 $x^{4} - x^{3} + x^{2} + 3 x + 2$ $2^{2}\cdot 3\cdot 383$ $S_4$ (as 4T5) trivial $5.51978922288$
4.0.4749.1 $x^{4} - x^{3} - x^{2} + 3 x + 3$ $3\cdot 1583$ $S_4$ (as 4T5) trivial $1.93886095904$
4.2.4944.1 $x^{4} - x^{2} - 4 x - 1$ $-\,2^{4}\cdot 3\cdot 103$ $S_4$ (as 4T5) trivial $3.254106826$
4.0.5073.1 $x^{4} - 2 x^{3} - x^{2} + x + 4$ $3\cdot 19\cdot 89$ $S_4$ (as 4T5) trivial $4.06019424855$
4.0.5325.1 $x^{4} - x^{3} + 2 x^{2} + 3$ $3\cdot 5^{2}\cdot 71$ $S_4$ (as 4T5) trivial $2.71516299503$
4.2.5343.1 $x^{4} - 2 x^{3} - x^{2} + x - 2$ $-\,3\cdot 13\cdot 137$ $S_4$ (as 4T5) trivial $4.59806787858$
4.2.5424.1 $x^{4} - 2 x^{3} + 2 x^{2} - 3$ $-\,2^{4}\cdot 3\cdot 113$ $S_4$ (as 4T5) trivial $4.99023220758$
4.2.5448.1 $x^{4} - x^{3} - 4 x^{2} + 5 x + 1$ $-\,2^{3}\cdot 3\cdot 227$ $S_4$ (as 4T5) trivial $5.09199392978$
4.0.5556.1 $x^{4} - x^{3} + 4 x^{2} + 6 x + 2$ $2^{2}\cdot 3\cdot 463$ $S_4$ (as 4T5) trivial $6.2110821899$
4.2.5568.1 $x^{4} - 2 x^{3} - 2 x^{2} + 2$ $-\,2^{6}\cdot 3\cdot 29$ $S_4$ (as 4T5) trivial $4.76564176755$
4.2.5595.1 $x^{4} - x^{3} + 4 x^{2} - 1$ $-\,3\cdot 5\cdot 373$ $S_4$ (as 4T5) trivial $3.06939590519$
4.0.5613.1 $x^{4} - x^{3} + 5 x^{2} - 3 x + 3$ $3\cdot 1871$ $S_4$ (as 4T5) trivial $2.46822925226$
4.0.5637.1 $x^{4} - x^{3} + x^{2} + 3 x + 5$ $3\cdot 1879$ $S_4$ (as 4T5) trivial $2.63029242589$
4.2.5748.1 $x^{4} - x^{2} - 8 x - 4$ $-\,2^{2}\cdot 3\cdot 479$ $S_4$ (as 4T5) trivial $5.28253591156$
4.0.5808.2 $x^{4} + x^{2} + 3$ $2^{4}\cdot 3\cdot 11^{2}$ $D_{4}$ (as 4T3) trivial $3.01274415964$
4.0.6108.1 $x^{4} - x^{3} + x^{2} + 6$ $2^{2}\cdot 3\cdot 509$ $S_4$ (as 4T5) trivial $4.42288500138$
4.0.6144.2 $x^{4} + 4 x^{2} + 6$ $2^{11}\cdot 3$ $D_{4}$ (as 4T3) trivial $3.6261872399$
4.0.6348.1 $x^{4} - x^{3} + 2 x^{2} + 2 x + 4$ $2^{2}\cdot 3\cdot 23^{2}$ $D_{4}$ (as 4T3) $[3]$ $3.25105926917$
4.2.6411.1 $x^{4} - 2 x^{2} - 3 x - 3$ $-\,3\cdot 2137$ $S_4$ (as 4T5) trivial $3.12429233432$
4.2.6591.1 $x^{4} - x^{3} + 2 x^{2} - 9 x + 3$ $-\,3\cdot 13^{3}$ $D_{4}$ (as 4T3) trivial $4.0390075457$
4.2.6603.1 $x^{4} - 2 x^{2} - 3 x + 3$ $-\,3\cdot 31\cdot 71$ $S_4$ (as 4T5) trivial $3.6656373879$
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