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Regulator $p$-adic completions Monogenic Index Ines. \(p\)
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Results (1-50 of 108035 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
4.0.657.1 $x^{4} - x^{3} + 5 x^{2} - 2 x + 4$ $3^{2}\cdot 73$ $D_{4}$ (as 4T3) trivial $2.0335456547$
4.0.1825.1 $x^{4} + x^{2} - x + 2$ $5^{2}\cdot 73$ $S_4$ (as 4T5) trivial $2.1186594823$
4.0.2920.1 $x^{4} - x^{2} - 2 x + 4$ $2^{3}\cdot 5\cdot 73$ $S_4$ (as 4T5) trivial $3.02461741979$
4.2.3504.1 $x^{4} - 2 x^{3} + 4 x^{2} - 1$ $-\,2^{4}\cdot 3\cdot 73$ $S_4$ (as 4T5) trivial $3.68015998926$
4.2.3723.1 $x^{4} - x^{3} + x^{2} + 3 x - 1$ $-\,3\cdot 17\cdot 73$ $S_4$ (as 4T5) trivial $2.32652008638$
4.2.5548.1 $x^{4} - x^{3} + 4 x - 2$ $-\,2^{2}\cdot 19\cdot 73$ $S_4$ (as 4T5) trivial $6.14199510214$
4.0.8541.2 $x^{4} - 2 x^{3} + 16 x^{2} - 15 x + 63$ $3^{2}\cdot 13\cdot 73$ $D_{4}$ (as 4T3) $[2]$ $5.99080303274$
4.0.10512.1 $x^{4} - 2 x^{3} + 7 x^{2} - 6 x + 6$ $2^{4}\cdot 3^{2}\cdot 73$ $D_{4}$ (as 4T3) $[4]$ $2.63391579385$
4.4.10512.1 $x^{4} - 7 x^{2} - 6 x + 1$ $2^{4}\cdot 3^{2}\cdot 73$ $D_{4}$ (as 4T3) trivial $4.83809369894$
4.0.10512.2 $x^{4} - 17 x^{2} + 73$ $2^{4}\cdot 3^{2}\cdot 73$ $D_{4}$ (as 4T3) $[4]$ $3.55704617712$
4.2.11607.1 $x^{4} - 2 x^{3} + x^{2} - 3 x - 6$ $-\,3\cdot 53\cdot 73$ $S_4$ (as 4T5) trivial $7.81676188266$
4.0.13797.1 $x^{4} - 2 x^{3} - 18 x^{2} + 19 x + 91$ $3^{3}\cdot 7\cdot 73$ $D_{4}$ (as 4T3) $[2]$ $5.61871021394$
4.2.16279.1 $x^{4} - 3 x^{2} - 13 x - 10$ $-\,73\cdot 223$ $S_4$ (as 4T5) trivial $9.89535261361$
4.2.18031.1 $x^{4} - x^{3} + 4 x^{2} + 7 x + 2$ $-\,13\cdot 19\cdot 73$ $S_4$ (as 4T5) trivial $8.31689549994$
4.0.19856.2 $x^{4} - 2 x^{3} - 13 x^{2} + 14 x + 74$ $2^{4}\cdot 17\cdot 73$ $D_{4}$ (as 4T3) $[2]$ $13.5045454348$
4.0.23360.1 $x^{4} - 2 x^{3} - 12 x^{2} + 98$ $2^{6}\cdot 5\cdot 73$ $D_{4}$ (as 4T3) $[2]$ $7.10771889774$
4.2.25623.1 $x^{4} - x^{3} - 3 x^{2} - 3$ $-\,3^{3}\cdot 13\cdot 73$ $S_4$ (as 4T5) trivial $14.9210205375$
4.2.26280.1 $x^{4} - x^{3} + 2 x^{2} - 5 x - 5$ $-\,2^{3}\cdot 3^{2}\cdot 5\cdot 73$ $S_4$ (as 4T5) trivial $10.9511078659$
4.0.26353.1 $x^{4} - x^{3} - 7 x + 11$ $19^{2}\cdot 73$ $D_{4}$ (as 4T3) trivial $7.76889014889$
4.2.27667.1 $x^{4} - x^{3} + x^{2} + 3 x - 5$ $-\,73\cdot 379$ $S_4$ (as 4T5) trivial $5.46770314511$
4.2.29200.1 $x^{4} - 2 x^{3} - 2 x^{2} - 10 x - 7$ $-\,2^{4}\cdot 5^{2}\cdot 73$ $S_4$ (as 4T5) trivial $9.35502995244$
4.0.29200.1 $x^{4} - 7 x^{2} - 20 x + 116$ $2^{4}\cdot 5^{2}\cdot 73$ $D_{4}$ (as 4T3) $[2]$ $14.5107825791$
4.0.29273.1 $x^{4} - 5 x^{2} - x + 10$ $73\cdot 401$ $S_4$ (as 4T5) trivial $9.01032690926$
4.2.31244.1 $x^{4} - x^{3} + 6 x - 2$ $-\,2^{2}\cdot 73\cdot 107$ $S_4$ (as 4T5) trivial $23.4281808575$
4.2.31244.2 $x^{4} - x^{3} - 6 x^{2} - 4 x + 2$ $-\,2^{2}\cdot 73\cdot 107$ $S_4$ (as 4T5) trivial $18.446782761$
4.2.31244.3 $x^{4} - x^{3} + 4 x^{2} + 8 x - 16$ $-\,2^{2}\cdot 73\cdot 107$ $S_4$ (as 4T5) trivial $21.0092406272$
4.2.32704.2 $x^{4} - 2 x^{3} - 7 x^{2} + 8 x - 34$ $-\,2^{6}\cdot 7\cdot 73$ $D_{4}$ (as 4T3) trivial $16.1200198306$
4.0.33069.1 $x^{4} - x^{3} - 4 x^{2} + 24$ $3\cdot 73\cdot 151$ $S_4$ (as 4T5) trivial $21.7950543159$
4.2.34675.1 $x^{4} - 2 x^{3} - 6 x^{2} - 3 x + 11$ $-\,5^{2}\cdot 19\cdot 73$ $S_4$ (as 4T5) trivial $6.63092109579$
4.2.35040.1 $x^{4} - 5 x^{2} - 12 x - 2$ $-\,2^{5}\cdot 3\cdot 5\cdot 73$ $S_4$ (as 4T5) trivial $24.9417464884$
4.0.35113.1 $x^{4} + 5 x^{2} - 13 x + 13$ $13\cdot 37\cdot 73$ $S_4$ (as 4T5) trivial $11.8355733106$
4.0.37376.1 $x^{4} - 22 x^{2} + 146$ $2^{9}\cdot 73$ $D_{4}$ (as 4T3) $[2]$ $11.8215116241$
4.0.37376.2 $x^{4} - 10 x^{2} + 146$ $2^{9}\cdot 73$ $D_{4}$ (as 4T3) $[2]$ $3.91494174649$
4.0.37449.1 $x^{4} - x^{3} + 33 x^{2} - 16 x + 256$ $3^{3}\cdot 19\cdot 73$ $D_{4}$ (as 4T3) $[2]$ $13.5636592032$
4.0.37449.2 $x^{4} - 2 x^{3} + 33 x^{2} - 32 x + 268$ $3^{3}\cdot 19\cdot 73$ $D_{4}$ (as 4T3) $[2]$ $11.8197730112$
4.0.38617.1 $x^{4} - x^{3} + 11 x^{2} - 14 x + 12$ $23^{2}\cdot 73$ $D_{4}$ (as 4T3) $[3]$ $5.85978636459$
4.2.38836.1 $x^{4} - x^{3} - 5 x^{2} - 2$ $-\,2^{2}\cdot 7\cdot 19\cdot 73$ $S_4$ (as 4T5) trivial $15.9203137949$
4.2.39712.1 $x^{4} - 11 x^{2} - 16 x - 8$ $-\,2^{5}\cdot 17\cdot 73$ $S_4$ (as 4T5) trivial $17.0749318302$
4.0.40077.1 $x^{4} - 2 x^{3} - 28 x^{2} + 29 x + 271$ $3^{2}\cdot 61\cdot 73$ $D_{4}$ (as 4T3) $[4]$ $4.20245792248$
4.0.40077.2 $x^{4} - x^{3} + 32 x^{2} - 26 x + 277$ $3^{2}\cdot 61\cdot 73$ $D_{4}$ (as 4T3) $[2]$ $4.17207661834$
4.0.42048.1 $x^{4} - 2 x^{3} + x^{2} - 6 x + 15$ $2^{6}\cdot 3^{2}\cdot 73$ $D_{4}$ (as 4T3) $[2]$ $6.61225985381$
4.0.42048.2 $x^{4} + 34 x^{2} + 292$ $2^{6}\cdot 3^{2}\cdot 73$ $D_{4}$ (as 4T3) $[2]$ $15.1511856253$
4.4.42048.2 $x^{4} - 2 x^{3} - 5 x^{2} + 6 x + 3$ $2^{6}\cdot 3^{2}\cdot 73$ $D_{4}$ (as 4T3) trivial $20.1384421824$
4.0.42048.3 $x^{4} - 34 x^{2} + 292$ $2^{6}\cdot 3^{2}\cdot 73$ $D_{4}$ (as 4T3) $[2]$ $6.99651251199$
4.0.42048.4 $x^{4} - 2 x^{3} + 7 x^{2} + 12 x + 12$ $2^{6}\cdot 3^{2}\cdot 73$ $D_{4}$ (as 4T3) $[6]$ $4.58486333912$
4.0.42048.5 $x^{4} - 4 x^{2} - 12 x + 31$ $2^{6}\cdot 3^{2}\cdot 73$ $D_{4}$ (as 4T3) $[2]$ $9.85949826318$
4.0.47085.1 $x^{4} + 6 x^{2} - 5 x + 15$ $3\cdot 5\cdot 43\cdot 73$ $S_4$ (as 4T5) trivial $15.742009893$
4.2.47304.1 $x^{4} - x^{3} - 11 x + 5$ $-\,2^{3}\cdot 3^{4}\cdot 73$ $S_4$ (as 4T5) trivial $25.1903043707$
4.2.47888.1 $x^{4} - 4 x^{2} - 16 x - 9$ $-\,2^{4}\cdot 41\cdot 73$ $S_4$ (as 4T5) trivial $10.7720214659$
4.0.47888.1 $x^{4} - 23 x^{2} - 14 x + 193$ $2^{4}\cdot 41\cdot 73$ $D_{4}$ (as 4T3) $[2]$ $4.67934059927$
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