LMFDB - p-adic families search results

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Residue characteristic $p$	Rel. degree $n$	Rel. ram. index $e$	Rel. res. field degree $f$	Rel. disc. exponent $c$

Base	Base degree $n_0$	Base ram. index $e_0$	Base res. field degree $f_0$	Base disc. exponent $c_0$

Herbrand invariant	Abs. degree $n_{\mathrm{abs}}$	Abs. ram. index $e_{\mathrm{abs}}$	Abs. res. field degree $f_{\mathrm{abs}}$	Abs. disc. exponent $c_{\mathrm{abs}}$

Mass	Absolute mass	Ambiguity	Field count	Wild segments

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Results (1-50 of 131 matches)

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Label	$p$	$n$	$n_0$	$n_{\mathrm{abs}}$	$f$	$f_0$	$f_{\mathrm{abs}}$	$e$	$e_0$	$e_{\mathrm{abs}}$	$c$	$c_0$	$c_{\mathrm{abs}}$	Base	Abs. Artin slopes	Swan slopes	Means	Rams	Generic poly	Ambiguity	Field count	Mass	Mass (absolute)	Mass stored	Mass found	Wild segments
2.3.14.78a	$2$	$42$	$1$	$42$	$3$	$1$	$3$	$14$	$1$	$14$	$78$	$0$	$78$	$\Q_{2}$	$[\frac{20}{7}]$	$[\frac{13}{7}]$	$\langle\frac{13}{14}\rangle$	$(13)$	$x^{14} + 2 a_{13} x^{13} + 4 c_{26} x^{12} + 4 b_{25} x^{11} + 4 b_{23} x^9 + 4 b_{21} x^7 + 4 b_{19} x^5 + 4 b_{17} x^3 + 4 b_{15} x + 2 d_{0}$	$42$	$0$	$1835008$	$1835008/3$	$0$	$0\%$	$1$
2.3.1.0a1.1-1.14.26a	$2$	$14$	$3$	$42$	$1$	$3$	$3$	$14$	$1$	$14$	$26$	$0$	$26$	2.3.1.0a1.1	$[\frac{20}{7}]$	$[\frac{13}{7}]$	$\langle\frac{13}{14}\rangle$	$(13)$	$x^{14} + 2 a_{13} x^{13} + 4 c_{26} x^{12} + 4 b_{25} x^{11} + 4 b_{23} x^9 + 4 b_{21} x^7 + 4 b_{19} x^5 + 4 b_{17} x^3 + 4 b_{15} x + 2 d_{0}$	$14$	$0$	$1835008$	$1835008/3$	$0$	$0\%$	$1$
2.1.7.6a1.1-3.2.42a	$2$	$6$	$7$	$42$	$3$	$1$	$3$	$2$	$7$	$14$	$42$	$6$	$42$	2.1.7.6a1.1	$[\frac{20}{7}]$	$[13]$	$\langle\frac{13}{2}\rangle$	$(13)$	$x^2 + (b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11} + b_{19} \pi^{10} + b_{17} \pi^9 + b_{15} \pi^8 + a_{13} \pi^7) x + c_{26} \pi^{14} + \pi$	$6$	$0$	$1835008$	$1835008/3$	$0$	$0\%$	$1$
2.1.14.26a1.1-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.1	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.2-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.2	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.3-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.3	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.4-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.4	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.5-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.5	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.6-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.6	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.7-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.7	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.8-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.8	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.9-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.9	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.10-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.10	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.11-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.11	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.12-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.12	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.13-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.13	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.14-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.14	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.15-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.15	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.16-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.16	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.17-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.17	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.18-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.18	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.19-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.19	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.20-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.20	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.21-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.21	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.22-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.22	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.23-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.23	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.24-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.24	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.25-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.25	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.26-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.26	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.27-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.27	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.28-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.28	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.29-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.29	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.30-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.30	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.31-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.31	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.32-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.32	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.33-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.33	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.34-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.34	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.35-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.35	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.36-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.36	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.37-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.37	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.38-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.38	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.39-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.39	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.40-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.40	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.41-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.41	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.42-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.42	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.43-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.43	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.44-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.44	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.45-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.45	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.46-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.46	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$
2.1.14.26a1.47-3.1.0a	$2$	$3$	$14$	$42$	$3$	$1$	$3$	$1$	$14$	$14$	$0$	$26$	$39$	2.1.14.26a1.47	$[\frac{20}{7}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$0$	$1$	$1/6$	$0$	$0\%$	$0$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.