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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 (9 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
5.2.10.26a	$5$	$20$	$1$	$20$	$2$	$1$	$2$	$10$	$1$	$10$	$26$	$0$	$26$	$\Q_{5}$	$[\frac{3}{2}]$	$[\frac{1}{2}]$	$\langle\frac{2}{5}\rangle$	$(1)$	$x^{10} + 5 c_{5} x^5 + 5 a_{4} x^4 + 5 d_{0}$	$20$	$42$	$24$	$12$	$12$	$100\%$	$1$
5.2.1.0a1.1-1.10.13a	$5$	$10$	$2$	$20$	$1$	$2$	$2$	$10$	$1$	$10$	$13$	$0$	$13$	$\Q_{5}(\sqrt{2})$	$[\frac{3}{2}]$	$[\frac{1}{2}]$	$\langle\frac{2}{5}\rangle$	$(1)$	$x^{10} + 5 c_{5} x^5 + 5 a_{4} x^4 + 5 d_{0}$	$10$	$42$	$24$	$12$	$12$	$100\%$	$1$
5.1.2.1a1.1-2.5.16a	$5$	$10$	$2$	$20$	$2$	$1$	$2$	$5$	$2$	$10$	$16$	$1$	$16$	$\Q_{5}(\sqrt{5})$	$[\frac{3}{2}]$	$[1]$	$\langle\frac{4}{5}\rangle$	$(1)$	$x^5 + a_{4} \pi x^4 + c_{5} \pi^2 + \pi$	$10$	$22$	$24$	$6$	$6$	$100\%$	$1$
5.1.2.1a1.2-2.5.16a	$5$	$10$	$2$	$20$	$2$	$1$	$2$	$5$	$2$	$10$	$16$	$1$	$16$	$\Q_{5}(\sqrt{5\cdot 2})$	$[\frac{3}{2}]$	$[1]$	$\langle\frac{4}{5}\rangle$	$(1)$	$x^5 + a_{4} \pi x^4 + c_{5} \pi^2 + \pi$	$10$	$22$	$24$	$6$	$6$	$100\%$	$1$
5.2.2.2a1.2-1.5.8a	$5$	$5$	$4$	$20$	$1$	$2$	$2$	$5$	$2$	$10$	$8$	$2$	$8$	5.2.2.2a1.2	$[\frac{3}{2}]$	$[1]$	$\langle\frac{4}{5}\rangle$	$(1)$	$x^5 + a_{4} \pi x^4 + c_{5} \pi^2 + \pi$	$5$	$22$	$24$	$6$	$6$	$100\%$	$1$
5.1.5.6a1.2-2.2.2a	$5$	$4$	$5$	$20$	$2$	$1$	$2$	$2$	$5$	$10$	$2$	$6$	$6$	5.1.5.6a1.2	$[\frac{3}{2}]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + d_{0} \pi$	$4$	$2$	$1$	$1/2$	$3/10$	$60.00\%$	$0$
5.2.5.12a4.1-1.2.1a	$5$	$2$	$10$	$20$	$1$	$2$	$2$	$2$	$5$	$10$	$1$	$12$	$3$	5.2.5.12a4.1	$[\frac{3}{2}]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + d_{0} \pi$	$2$	$2$	$1$	$1/2$	$3/10$	$60.00\%$	$0$
5.1.10.13a2.2-2.1.0a	$5$	$2$	$10$	$20$	$2$	$1$	$2$	$1$	$10$	$10$	$0$	$13$	$8$	5.1.10.13a2.2	$[\frac{3}{2}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$2$	$1$	$1$	$1/4$	$1/20$	$20.00\%$	$0$
5.1.10.13a3.1-2.1.0a	$5$	$2$	$10$	$20$	$2$	$1$	$2$	$1$	$10$	$10$	$0$	$13$	$8$	5.1.10.13a3.1	$[\frac{3}{2}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$2$	$1$	$1$	$1/20$	$1/20$	$100\%$	$0$

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