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Results (1-50 of at least 1000)

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Label Polynomial Discriminant Galois group Class group Regulator
4.0.225.1 $ x^{4} - x^{3} + 2 x^{2} + x + 1 $ $3^{2}\cdot 5^{2}$ $C_2^2$ (as 4T2) trivial $0.962423650119$
4.2.275.1 $ x^{4} - x^{3} + 2 x - 1 $ $-\,5^{2}\cdot 11$ $D_{4}$ (as 4T3) trivial $0.369184373575$
4.2.400.1 $ x^{4} - x^{2} - 1 $ $-\,2^{4}\cdot 5^{2}$ $D_{4}$ (as 4T3) trivial $0.51069810943$
4.4.725.1 $ x^{4} - x^{3} - 3 x^{2} + x + 1 $ $5^{2}\cdot 29$ $D_{4}$ (as 4T3) trivial $0.825068847935$
4.2.775.1 $ x^{4} - x^{3} - 3 x - 1 $ $-\,5^{2}\cdot 31$ $D_{4}$ (as 4T3) trivial $0.867905309463$
4.0.1225.1 $ x^{4} - x^{3} + 5 x^{2} + 2 x + 4 $ $5^{2}\cdot 7^{2}$ $C_2^2$ (as 4T2) trivial $0.962423650119$
4.0.1600.1 $ x^{4} + 6 x^{2} + 4 $ $2^{6}\cdot 5^{2}$ $C_2^2$ (as 4T2) trivial $0.962423650119$
4.4.1600.1 $ x^{4} - 6 x^{2} + 4 $ $2^{6}\cdot 5^{2}$ $C_2^2$ (as 4T2) trivial $1.54250590983$
4.2.1775.1 $ x^{4} - 2 x^{3} + 3 x^{2} - 2 x - 4 $ $-\,5^{2}\cdot 71$ $D_{4}$ (as 4T3) trivial $1.51169722096$
4.4.2225.1 $ x^{4} - x^{3} - 5 x^{2} + 2 x + 4 $ $5^{2}\cdot 89$ $D_{4}$ (as 4T3) trivial $2.06451190313$
4.0.2725.1 $ x^{4} - x^{3} + 5 x^{2} - 3 x + 9 $ $5^{2}\cdot 109$ $D_{4}$ (as 4T3) trivial $0.962423650119$
4.2.3275.1 $ x^{4} - x^{3} + 2 x^{2} + 6 x - 9 $ $-\,5^{2}\cdot 131$ $D_{4}$ (as 4T3) trivial $1.65250918289$
4.0.3600.1 $ x^{4} + x^{2} + 4 $ $2^{4}\cdot 3^{2}\cdot 5^{2}$ $C_2^2$ (as 4T2) $[2]$ $2.63391579385$
4.4.3600.1 $ x^{4} - 2 x^{3} - 7 x^{2} + 8 x + 1 $ $2^{4}\cdot 3^{2}\cdot 5^{2}$ $C_2^2$ (as 4T2) trivial $2.61534752461$
4.0.3600.3 $ x^{4} - 5 x^{2} + 25 $ $2^{4}\cdot 3^{2}\cdot 5^{2}$ $C_2^2$ (as 4T2) $[2]$ $4.12687413779$
4.0.3725.1 $ x^{4} - 2 x^{3} + 8 x^{2} - 7 x + 11 $ $5^{2}\cdot 149$ $D_{4}$ (as 4T3) trivial $0.962423650119$
4.2.3775.1 $ x^{4} - x^{3} + 7 x - 11 $ $-\,5^{2}\cdot 151$ $D_{4}$ (as 4T3) trivial $2.33799528739$
4.0.4225.1 $ x^{4} - x^{3} - 3 x + 4 $ $5^{2}\cdot 13^{2}$ $A_4$ (as 4T4) $[2]$ $1.5729532878$
4.4.4225.1 $ x^{4} - 9 x^{2} + 4 $ $5^{2}\cdot 13^{2}$ $C_2^2$ (as 4T2) trivial $3.19257767414$
4.2.4275.1 $ x^{4} - 2 x^{3} + x - 11 $ $-\,3^{2}\cdot 5^{2}\cdot 19$ $D_{4}$ (as 4T3) trivial $1.83134528682$
4.2.4400.1 $ x^{4} - x^{2} - 11 $ $-\,2^{4}\cdot 5^{2}\cdot 11$ $D_{4}$ (as 4T3) trivial $2.25156324954$
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) $[2]$ $3.04016113415$
4.2.4775.1 $ x^{4} - x^{3} + 2 x^{2} - 9 x - 9 $ $-\,5^{2}\cdot 191$ $D_{4}$ (as 4T3) trivial $2.72731892757$
4.0.5225.1 $ x^{4} - x^{3} + 7 x^{2} - 4 x + 16 $ $5^{2}\cdot 11\cdot 19$ $D_{4}$ (as 4T3) $[2]$ $0.962423650119$
4.4.5225.1 $ x^{4} - x^{3} - 8 x^{2} + x + 11 $ $5^{2}\cdot 11\cdot 19$ $D_{4}$ (as 4T3) trivial $3.62009337972$
4.2.5275.1 $ x^{4} - x^{3} - 8 x - 11 $ $-\,5^{2}\cdot 211$ $D_{4}$ (as 4T3) trivial $1.94920945817$
4.0.5400.1 $ x^{4} - x^{3} + 2 x + 4 $ $2^{3}\cdot 3^{3}\cdot 5^{2}$ $D_{4}$ (as 4T3) $[2]$ $4.34612583115$
4.4.5725.1 $ x^{4} - x^{3} - 8 x^{2} + 6 x + 11 $ $5^{2}\cdot 229$ $D_{4}$ (as 4T3) trivial $3.06647090016$
4.2.6275.1 $ x^{4} - x^{3} - 3 x^{2} + 11 x - 19 $ $-\,5^{2}\cdot 251$ $D_{4}$ (as 4T3) trivial $2.17765363996$
4.0.6400.1 $ x^{4} - 4 x^{2} + 9 $ $2^{8}\cdot 5^{2}$ $C_2^2$ (as 4T2) $[2]$ $3.63689291846$
4.0.6400.2 $ x^{4} + 4 x^{2} + 9 $ $2^{8}\cdot 5^{2}$ $C_2^2$ (as 4T2) $[2]$ $1.76274717404$
4.0.6725.1 $ x^{4} - 2 x^{3} + 10 x^{2} - 9 x + 19 $ $5^{2}\cdot 269$ $D_{4}$ (as 4T3) trivial $0.962423650119$
4.2.6775.1 $ x^{4} - 2 x^{3} + 5 x^{2} - 4 x - 16 $ $-\,5^{2}\cdot 271$ $D_{4}$ (as 4T3) trivial $3.23191333441$
4.4.7225.1 $ x^{4} - 11 x^{2} + 9 $ $5^{2}\cdot 17^{2}$ $C_2^2$ (as 4T2) trivial $4.45404695945$
4.0.7600.1 $ x^{4} + 9 x^{2} + 19 $ $2^{4}\cdot 5^{2}\cdot 19$ $D_{4}$ (as 4T3) $[2]$ $0.962423650119$
4.4.7600.1 $ x^{4} - 9 x^{2} + 19 $ $2^{4}\cdot 5^{2}\cdot 19$ $D_{4}$ (as 4T3) trivial $4.08140452901$
4.2.7775.1 $ x^{4} - 2 x^{3} + 3 x^{2} - 2 x - 19 $ $-\,5^{2}\cdot 311$ $D_{4}$ (as 4T3) trivial $3.58705473074$
4.2.8275.1 $ x^{4} - x^{3} - 3 x^{2} - 9 x - 19 $ $-\,5^{2}\cdot 331$ $D_{4}$ (as 4T3) trivial $2.22465519597$
4.4.8725.1 $ x^{4} - x^{3} - 10 x^{2} + 2 x + 19 $ $5^{2}\cdot 349$ $D_{4}$ (as 4T3) trivial $3.76714236574$
4.4.9225.1 $ x^{4} - x^{3} - 10 x^{2} + 7 x + 19 $ $3^{2}\cdot 5^{2}\cdot 41$ $D_{4}$ (as 4T3) trivial $5.14912489678$
4.0.9725.1 $ x^{4} - x^{3} + 10 x^{2} - 8 x + 29 $ $5^{2}\cdot 389$ $D_{4}$ (as 4T3) trivial $0.962423650119$
4.0.10225.1 $ x^{4} - x^{3} + 10 x^{2} - 3 x + 29 $ $5^{2}\cdot 409$ $D_{4}$ (as 4T3) $[3]$ $0.962423650119$
4.2.10775.1 $ x^{4} - x^{3} + 2 x^{2} + 11 x - 29 $ $-\,5^{2}\cdot 431$ $D_{4}$ (as 4T3) trivial $4.10703075528$
4.0.11025.2 $ x^{4} + 11 x^{2} + 4 $ $3^{2}\cdot 5^{2}\cdot 7^{2}$ $C_2^2$ (as 4T2) $[2]$ $8.81314098615$
4.0.11025.3 $ x^{4} - x^{3} - 8 x^{2} - 9 x + 81 $ $3^{2}\cdot 5^{2}\cdot 7^{2}$ $C_2^2$ (as 4T2) $[2]$ $8.81314098615$
4.0.11225.1 $ x^{4} - 2 x^{3} + 13 x^{2} - 12 x + 31 $ $5^{2}\cdot 449$ $D_{4}$ (as 4T3) $[3]$ $0.962423650119$
4.2.11275.1 $ x^{4} - x^{3} + 12 x - 31 $ $-\,5^{2}\cdot 11\cdot 41$ $D_{4}$ (as 4T3) trivial $2.39208491152$
4.2.11275.2 $ x^{4} - 2 x^{3} - 2 x^{2} + 3 x - 29 $ $-\,5^{2}\cdot 11\cdot 41$ $D_{4}$ (as 4T3) trivial $2.55733706819$
4.0.11600.1 $ x^{4} + 11 x^{2} + 29 $ $2^{4}\cdot 5^{2}\cdot 29$ $D_{4}$ (as 4T3) $[2]$ $0.962423650119$
4.2.12275.1 $ x^{4} - 2 x^{3} + x - 31 $ $-\,5^{2}\cdot 491$ $D_{4}$ (as 4T3) trivial $2.71023784954$
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