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 338 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
11.1.1.0a	$11$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$1$	$1$	$1$	$1$	$1$	$100\%$	$0$
11.2.1.0a	$11$	$2$	$1$	$2$	$2$	$1$	$2$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$2$	$1$	$1$	$1/2$	$1/2$	$100\%$	$0$
11.1.2.1a	$11$	$2$	$1$	$2$	$1$	$1$	$1$	$2$	$1$	$2$	$1$	$0$	$1$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 11 d_{0}$	$2$	$2$	$1$	$1$	$1$	$100\%$	$0$
11.3.1.0a	$11$	$3$	$1$	$3$	$3$	$1$	$3$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$1$	$1$	$1/3$	$1/3$	$100\%$	$0$
11.1.3.2a	$11$	$3$	$1$	$3$	$1$	$1$	$1$	$3$	$1$	$3$	$2$	$0$	$2$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^3 + 11$	$1$	$1$	$1$	$1$	$1$	$100\%$	$0$
11.4.1.0a	$11$	$4$	$1$	$4$	$4$	$1$	$4$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$4$	$1$	$1$	$1/4$	$1/4$	$100\%$	$0$
11.2.2.2a	$11$	$4$	$1$	$4$	$2$	$1$	$2$	$2$	$1$	$2$	$2$	$0$	$2$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 11 d_{0}$	$4$	$2$	$1$	$1/2$	$1/2$	$100\%$	$0$
11.1.4.3a	$11$	$4$	$1$	$4$	$1$	$1$	$1$	$4$	$1$	$4$	$3$	$0$	$3$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^4 + 11 d_{0}$	$2$	$2$	$1$	$1$	$1$	$100\%$	$0$
11.5.1.0a	$11$	$5$	$1$	$5$	$5$	$1$	$5$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$1$	$1$	$1/5$	$1/5$	$100\%$	$0$
11.1.5.4a	$11$	$5$	$1$	$5$	$1$	$1$	$1$	$5$	$1$	$5$	$4$	$0$	$4$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^5 + 11 d_{0}$	$5$	$5$	$1$	$1$	$1$	$100\%$	$0$
11.6.1.0a	$11$	$6$	$1$	$6$	$6$	$1$	$6$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$6$	$1$	$1$	$1/6$	$1/6$	$100\%$	$0$
11.3.2.3a	$11$	$6$	$1$	$6$	$3$	$1$	$3$	$2$	$1$	$2$	$3$	$0$	$3$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 11 d_{0}$	$6$	$2$	$1$	$1/3$	$1/3$	$100\%$	$0$
11.2.3.4a	$11$	$6$	$1$	$6$	$2$	$1$	$2$	$3$	$1$	$3$	$4$	$0$	$4$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^3 + 11 d_{0}$	$6$	$2$	$1$	$1/2$	$1/2$	$100\%$	$0$
11.1.6.5a	$11$	$6$	$1$	$6$	$1$	$1$	$1$	$6$	$1$	$6$	$5$	$0$	$5$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^6 + 11 d_{0}$	$2$	$2$	$1$	$1$	$1$	$100\%$	$0$
11.7.1.0a	$11$	$7$	$1$	$7$	$7$	$1$	$7$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$7$	$1$	$1$	$1/7$	$1/7$	$100\%$	$0$
11.1.7.6a	$11$	$7$	$1$	$7$	$1$	$1$	$1$	$7$	$1$	$7$	$6$	$0$	$6$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^7 + 11$	$1$	$1$	$1$	$1$	$1$	$100\%$	$0$
11.8.1.0a	$11$	$8$	$1$	$8$	$8$	$1$	$8$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$8$	$1$	$1$	$1/8$	$1/8$	$100\%$	$0$
11.4.2.4a	$11$	$8$	$1$	$8$	$4$	$1$	$4$	$2$	$1$	$2$	$4$	$0$	$4$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 11 d_{0}$	$8$	$2$	$1$	$1/4$	$1/4$	$100\%$	$0$
11.2.4.6a	$11$	$8$	$1$	$8$	$2$	$1$	$2$	$4$	$1$	$4$	$6$	$0$	$6$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^4 + 11 d_{0}$	$8$	$3$	$1$	$1/2$	$1/2$	$100\%$	$0$
11.1.8.7a	$11$	$8$	$1$	$8$	$1$	$1$	$1$	$8$	$1$	$8$	$7$	$0$	$7$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^8 + 11 d_{0}$	$2$	$2$	$1$	$1$	$1$	$100\%$	$0$
11.9.1.0a	$11$	$9$	$1$	$9$	$9$	$1$	$9$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$9$	$1$	$1$	$1/9$	$1/9$	$100\%$	$0$
11.3.3.6a	$11$	$9$	$1$	$9$	$3$	$1$	$3$	$3$	$1$	$3$	$6$	$0$	$6$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^3 + 11$	$3$	$1$	$1$	$1/3$	$1/3$	$100\%$	$0$
11.1.9.8a	$11$	$9$	$1$	$9$	$1$	$1$	$1$	$9$	$1$	$9$	$8$	$0$	$8$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^9 + 11$	$1$	$1$	$1$	$1$	$1$	$100\%$	$0$
11.10.1.0a	$11$	$10$	$1$	$10$	$10$	$1$	$10$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$10$	$1$	$1$	$1/10$	$1/10$	$100\%$	$0$
11.5.2.5a	$11$	$10$	$1$	$10$	$5$	$1$	$5$	$2$	$1$	$2$	$5$	$0$	$5$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 11 d_{0}$	$10$	$2$	$1$	$1/5$	$1/5$	$100\%$	$0$
11.2.5.8a	$11$	$10$	$1$	$10$	$2$	$1$	$2$	$5$	$1$	$5$	$8$	$0$	$8$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^5 + 11 d_{0}$	$10$	$5$	$1$	$1/2$	$1/2$	$100\%$	$0$
11.1.10.9a	$11$	$10$	$1$	$10$	$1$	$1$	$1$	$10$	$1$	$10$	$9$	$0$	$9$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^{10} + 11 d_{0}$	$10$	$10$	$1$	$1$	$1$	$100\%$	$0$
11.11.1.0a	$11$	$11$	$1$	$11$	$11$	$1$	$11$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$11$	$1$	$1$	$1/11$	$1/11$	$100\%$	$0$
11.1.11.11a	$11$	$11$	$1$	$11$	$1$	$1$	$1$	$11$	$1$	$11$	$11$	$0$	$11$	$\Q_{11}$	$[\frac{11}{10}]$	$[\frac{1}{10}]$	$\langle\frac{1}{11}\rangle$	$(\frac{1}{10})$	$x^{11} + 11 a_{1} x + 11$	$1$	$10$	$10$	$10$	$10$	$100\%$	$1$
11.1.11.12a	$11$	$11$	$1$	$11$	$1$	$1$	$1$	$11$	$1$	$11$	$12$	$0$	$12$	$\Q_{11}$	$[\frac{6}{5}]$	$[\frac{1}{5}]$	$\langle\frac{2}{11}\rangle$	$(\frac{1}{5})$	$x^{11} + 11 a_{2} x^2 + 11$	$1$	$10$	$10$	$10$	$10$	$100\%$	$1$
11.1.11.13a	$11$	$11$	$1$	$11$	$1$	$1$	$1$	$11$	$1$	$11$	$13$	$0$	$13$	$\Q_{11}$	$[\frac{13}{10}]$	$[\frac{3}{10}]$	$\langle\frac{3}{11}\rangle$	$(\frac{3}{10})$	$x^{11} + 11 a_{3} x^3 + 11$	$1$	$10$	$10$	$10$	$10$	$100\%$	$1$
11.1.11.14a	$11$	$11$	$1$	$11$	$1$	$1$	$1$	$11$	$1$	$11$	$14$	$0$	$14$	$\Q_{11}$	$[\frac{7}{5}]$	$[\frac{2}{5}]$	$\langle\frac{4}{11}\rangle$	$(\frac{2}{5})$	$x^{11} + 11 a_{4} x^4 + 11$	$1$	$10$	$10$	$10$	$10$	$100\%$	$1$
11.1.11.15a	$11$	$11$	$1$	$11$	$1$	$1$	$1$	$11$	$1$	$11$	$15$	$0$	$15$	$\Q_{11}$	$[\frac{3}{2}]$	$[\frac{1}{2}]$	$\langle\frac{5}{11}\rangle$	$(\frac{1}{2})$	$x^{11} + 11 a_{5} x^5 + 11$	$1$	$10$	$10$	$10$	$10$	$100\%$	$1$
11.1.11.16a	$11$	$11$	$1$	$11$	$1$	$1$	$1$	$11$	$1$	$11$	$16$	$0$	$16$	$\Q_{11}$	$[\frac{8}{5}]$	$[\frac{3}{5}]$	$\langle\frac{6}{11}\rangle$	$(\frac{3}{5})$	$x^{11} + 11 a_{6} x^6 + 11$	$1$	$10$	$10$	$10$	$10$	$100\%$	$1$
11.1.11.17a	$11$	$11$	$1$	$11$	$1$	$1$	$1$	$11$	$1$	$11$	$17$	$0$	$17$	$\Q_{11}$	$[\frac{17}{10}]$	$[\frac{7}{10}]$	$\langle\frac{7}{11}\rangle$	$(\frac{7}{10})$	$x^{11} + 11 a_{7} x^7 + 11$	$1$	$10$	$10$	$10$	$10$	$100\%$	$1$
11.1.11.18a	$11$	$11$	$1$	$11$	$1$	$1$	$1$	$11$	$1$	$11$	$18$	$0$	$18$	$\Q_{11}$	$[\frac{9}{5}]$	$[\frac{4}{5}]$	$\langle\frac{8}{11}\rangle$	$(\frac{4}{5})$	$x^{11} + 11 a_{8} x^8 + 11$	$1$	$10$	$10$	$10$	$10$	$100\%$	$1$
11.1.11.19a	$11$	$11$	$1$	$11$	$1$	$1$	$1$	$11$	$1$	$11$	$19$	$0$	$19$	$\Q_{11}$	$[\frac{19}{10}]$	$[\frac{9}{10}]$	$\langle\frac{9}{11}\rangle$	$(\frac{9}{10})$	$x^{11} + 11 a_{9} x^9 + 11$	$1$	$10$	$10$	$10$	$10$	$100\%$	$1$
11.1.11.20a	$11$	$11$	$1$	$11$	$1$	$1$	$1$	$11$	$1$	$11$	$20$	$0$	$20$	$\Q_{11}$	$[2]$	$[1]$	$\langle\frac{10}{11}\rangle$	$(1)$	$x^{11} + 11 a_{10} x^{10} + 121 c_{11} + 11$	$11$	$20$	$10$	$10$	$10$	$100\%$	$1$
11.1.11.21a	$11$	$11$	$1$	$11$	$1$	$1$	$1$	$11$	$1$	$11$	$21$	$0$	$21$	$\Q_{11}$	$[\frac{21}{10}]$	$[\frac{11}{10}]$	$\langle1\rangle$	$(\frac{11}{10})$	$x^{11} + 121 b_{12} x + 11$	$1$	$11$	$11$	$11$	$11$	$100\%$	$1$
11.12.1.0a	$11$	$12$	$1$	$12$	$12$	$1$	$12$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$12$	$1$	$1$	$1/12$	$1/12$	$100\%$	$0$
11.6.2.6a	$11$	$12$	$1$	$12$	$6$	$1$	$6$	$2$	$1$	$2$	$6$	$0$	$6$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 11 d_{0}$	$12$	$2$	$1$	$1/6$	$1/6$	$100\%$	$0$
11.4.3.8a	$11$	$12$	$1$	$12$	$4$	$1$	$4$	$3$	$1$	$3$	$8$	$0$	$8$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^3 + 11 d_{0}$	$12$	$2$	$1$	$1/4$	$1/4$	$100\%$	$0$
11.3.4.9a	$11$	$12$	$1$	$12$	$3$	$1$	$3$	$4$	$1$	$4$	$9$	$0$	$9$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^4 + 11 d_{0}$	$6$	$2$	$1$	$1/3$	$1/3$	$100\%$	$0$
11.2.6.10a	$11$	$12$	$1$	$12$	$2$	$1$	$2$	$6$	$1$	$6$	$10$	$0$	$10$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^6 + 11 d_{0}$	$12$	$4$	$1$	$1/2$	$1/2$	$100\%$	$0$
11.1.12.11a	$11$	$12$	$1$	$12$	$1$	$1$	$1$	$12$	$1$	$12$	$11$	$0$	$11$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^{12} + 11 d_{0}$	$2$	$2$	$1$	$1$	$1$	$100\%$	$0$
11.13.1.0a	$11$	$13$	$1$	$13$	$13$	$1$	$13$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$13$	$1$	$1$	$1/13$	$1/13$	$100\%$	$0$
11.1.13.12a	$11$	$13$	$1$	$13$	$1$	$1$	$1$	$13$	$1$	$13$	$12$	$0$	$12$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^{13} + 11$	$1$	$1$	$1$	$1$	$1$	$100\%$	$0$
11.14.1.0a	$11$	$14$	$1$	$14$	$14$	$1$	$14$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$14$	$1$	$1$	$1/14$	$1/14$	$100\%$	$0$
11.7.2.7a	$11$	$14$	$1$	$14$	$7$	$1$	$7$	$2$	$1$	$2$	$7$	$0$	$7$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 11 d_{0}$	$14$	$2$	$1$	$1/7$	$1/7$	$100\%$	$0$
11.2.7.12a	$11$	$14$	$1$	$14$	$2$	$1$	$2$	$7$	$1$	$7$	$12$	$0$	$12$	$\Q_{11}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^7 + 11$	$2$	$1$	$1$	$1/2$	$1/2$	$100\%$	$0$

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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.