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Label Polynomial Discriminant Galois group Class group Regulator
4.0.117.1 $ x^{4} - x^{3} - x^{2} + x + 1 $ $3^{2}\cdot 13$ $D_{4}$ (as 4T3) trivial $0.543535072498$
4.0.125.1 $ x^{4} - x^{3} + x^{2} - x + 1 $ $5^{3}$ $C_4$ (as 4T1) trivial $0.962423650119$
4.0.144.1 $ x^{4} - x^{2} + 1 $ $2^{4}\cdot 3^{2}$ $C_2^2$ (as 4T2) trivial $1.31695789692$
4.0.189.1 $ x^{4} - x^{3} + 2 x + 1 $ $3^{3}\cdot 7$ $D_{4}$ (as 4T3) trivial $0.862554627662$
4.0.225.1 $ x^{4} - x^{3} + 2 x^{2} + x + 1 $ $3^{2}\cdot 5^{2}$ $C_2^2$ (as 4T2) trivial $0.962423650119$
4.0.229.1 $ x^{4} - x + 1 $ $229$ $S_4$ (as 4T5) trivial $0.337377803572$
4.0.256.1 $ x^{4} + 1 $ $2^{8}$ $C_2^2$ (as 4T2) trivial $1.76274717404$
4.0.257.1 $ x^{4} + x^{2} - x + 1 $ $257$ $S_4$ (as 4T5) trivial $0.442137828732$
4.0.272.1 $ x^{4} + x^{2} - 2 x + 1 $ $2^{4}\cdot 17$ $D_{4}$ (as 4T3) trivial $0.732857675974$
4.2.275.1 $ x^{4} - x^{3} + 2 x - 1 $ $-\,5^{2}\cdot 11$ $D_{4}$ (as 4T3) trivial $0.369184373575$
4.2.283.1 $ x^{4} - x - 1 $ $-\,283$ $S_4$ (as 4T5) trivial $0.37819933246$
4.0.320.1 $ x^{4} - 2 x^{3} + 2 $ $2^{6}\cdot 5$ $D_{4}$ (as 4T3) trivial $1.06127506191$
4.2.331.1 $ x^{4} - x^{3} + x^{2} + x - 1 $ $-\,331$ $S_4$ (as 4T5) trivial $0.432203091185$
4.0.333.1 $ x^{4} - x^{3} - 2 x^{2} + 3 $ $3^{2}\cdot 37$ $D_{4}$ (as 4T3) trivial $1.46078161311$
4.0.392.1 $ x^{4} - x^{3} + x + 1 $ $2^{3}\cdot 7^{2}$ $D_{4}$ (as 4T3) trivial $0.632974319201$
4.2.400.1 $ x^{4} - x^{2} - 1 $ $-\,2^{4}\cdot 5^{2}$ $D_{4}$ (as 4T3) trivial $0.51069810943$
4.0.400.1 $ x^{4} + 3 x^{2} + 1 $ $2^{4}\cdot 5^{2}$ $C_2^2$ (as 4T2) trivial $0.962423650119$
4.0.432.1 $ x^{4} - 3 x^{2} + 3 $ $2^{4}\cdot 3^{3}$ $D_{4}$ (as 4T3) trivial $1.66288589106$
4.0.441.1 $ x^{4} - x^{3} - x^{2} - 2 x + 4 $ $3^{2}\cdot 7^{2}$ $C_2^2$ (as 4T2) trivial $1.56679923697$
4.2.448.1 $ x^{4} - 2 x^{3} + x^{2} - 2 x + 1 $ $-\,2^{6}\cdot 7$ $D_{4}$ (as 4T3) trivial $0.557886846205$
4.2.475.1 $ x^{4} - 2 x^{3} + 2 x^{2} - x - 1 $ $-\,5^{2}\cdot 19$ $D_{4}$ (as 4T3) trivial $0.57693147741$
4.2.491.1 $ x^{4} - x^{3} - x^{2} + 3 x - 1 $ $-\,491$ $S_4$ (as 4T5) trivial $0.63355773488$
4.2.507.1 $ x^{4} - x^{3} - x^{2} - x + 1 $ $-\,3\cdot 13^{2}$ $D_{4}$ (as 4T3) trivial $0.649395711926$
4.0.512.1 $ x^{4} - 2 x^{2} + 2 $ $2^{9}$ $D_{4}$ (as 4T3) trivial $1.52857091948$
4.0.513.1 $ x^{4} - x^{3} - 3 x^{2} + 2 x + 4 $ $3^{3}\cdot 19$ $D_{4}$ (as 4T3) trivial $1.96497837511$
4.0.549.1 $ x^{4} - 2 x^{3} - 2 x^{2} + 3 x + 3 $ $3^{2}\cdot 61$ $D_{4}$ (as 4T3) trivial $2.11437619251$
4.2.563.1 $ x^{4} - x^{3} + x^{2} - x - 1 $ $-\,563$ $S_4$ (as 4T5) trivial $0.704267195983$
4.0.576.1 $ x^{4} - 2 x^{2} + 4 $ $2^{6}\cdot 3^{2}$ $C_2^2$ (as 4T2) trivial $2.29243166956$
4.0.576.2 $ x^{4} + 2 x^{2} + 4 $ $2^{6}\cdot 3^{2}$ $C_2^2$ (as 4T2) trivial $1.76274717404$
4.0.592.1 $ x^{4} + 2 x^{2} - 2 x + 1 $ $2^{4}\cdot 37$ $S_4$ (as 4T5) trivial $0.917818607957$
4.0.605.1 $ x^{4} - x^{3} + x^{2} + x + 1 $ $5\cdot 11^{2}$ $D_{4}$ (as 4T3) trivial $0.767197218251$
4.2.643.1 $ x^{4} - x^{3} - 2 x + 1 $ $-\,643$ $S_4$ (as 4T5) trivial $0.720184467868$
4.0.656.1 $ x^{4} - 2 x^{3} - x^{2} + 2 x + 2 $ $2^{4}\cdot 41$ $D_{4}$ (as 4T3) trivial $2.42610665212$
4.0.657.1 $ x^{4} - x^{3} + 5 x^{2} - 2 x + 4 $ $3^{2}\cdot 73$ $D_{4}$ (as 4T3) trivial $2.0335456547$
4.2.688.1 $ x^{4} - 2 x - 1 $ $-\,2^{4}\cdot 43$ $S_4$ (as 4T5) trivial $0.998743211853$
4.0.697.1 $ x^{4} - x^{3} + 2 x^{2} - x + 2 $ $17\cdot 41$ $S_4$ (as 4T5) trivial $1.03324185123$
4.4.725.1 $ x^{4} - x^{3} - 3 x^{2} + x + 1 $ $5^{2}\cdot 29$ $D_{4}$ (as 4T3) trivial $0.825068847935$
4.2.731.1 $ x^{4} - x^{3} + 2 x^{2} - 1 $ $-\,17\cdot 43$ $S_4$ (as 4T5) trivial $0.866830073687$
4.2.751.1 $ x^{4} - 2 x^{3} + x^{2} - x - 1 $ $-\,751$ $S_4$ (as 4T5) trivial $1.06794059626$
4.0.761.1 $ x^{4} - x^{3} + x^{2} + 2 x + 1 $ $761$ $S_4$ (as 4T5) trivial $0.990699508768$
4.2.775.1 $ x^{4} - x^{3} - 3 x - 1 $ $-\,5^{2}\cdot 31$ $D_{4}$ (as 4T3) trivial $0.867905309463$
4.0.784.1 $ x^{4} - 3 x^{2} + 4 $ $2^{4}\cdot 7^{2}$ $C_2^2$ (as 4T2) trivial $2.76865938331$
4.0.788.1 $ x^{4} - x^{3} + 2 x^{2} - 2 x + 2 $ $2^{2}\cdot 197$ $S_4$ (as 4T5) trivial $1.39411358598$
4.0.832.1 $ x^{4} - 2 x^{3} - 2 x + 5 $ $2^{6}\cdot 13$ $D_{4}$ (as 4T3) trivial $2.13862208632$
4.0.837.1 $ x^{4} - x^{3} - 3 x^{2} - x + 7 $ $3^{3}\cdot 31$ $D_{4}$ (as 4T3) trivial $2.41883810412$
4.2.848.1 $ x^{4} - x^{2} - 2 x + 1 $ $-\,2^{4}\cdot 53$ $S_4$ (as 4T5) trivial $0.992994938315$
4.0.873.1 $ x^{4} - x^{3} - 4 x^{2} + x + 7 $ $3^{2}\cdot 97$ $D_{4}$ (as 4T3) trivial $2.42800256046$
4.0.892.1 $ x^{4} - x^{3} - x^{2} + 2 $ $2^{2}\cdot 223$ $S_4$ (as 4T5) trivial $1.29274426912$
4.2.976.1 $ x^{4} - 2 x^{3} + 3 x^{2} - 1 $ $-\,2^{4}\cdot 61$ $S_4$ (as 4T5) trivial $0.990699215006$
4.0.981.1 $ x^{4} - x^{3} - 4 x^{2} + 4 x + 7 $ $3^{2}\cdot 109$ $D_{4}$ (as 4T3) trivial $2.15221875719$
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