Absolute $p$-adic families search results

The results below are complete, since the LMFDB contains all families of p-adic fields of degree at most 47 and residue characteristic at most 199

Results (10 matches)

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Label	$p$	$n$	$f$	$e$	$c$	Abs. Artin slopes	Swan slopes	Means	Rams	Generic poly	Ambiguity	Field count	Mass	Mass (absolute)	Mass stored	Mass found	Wild segments	Num. Packets
2.10.1.0a	$2$	$10$	$10$	$1$	$0$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$10$	$1$	$1$	$1/10$	$1/10$	$100\%$	$0$	$1$
2.5.2.10a	$2$	$10$	$5$	$2$	$10$	$[2]$	$[1]$	$\langle\frac{1}{2}\rangle$	$(1)$	$x^2 + 2 a_{1} x + 4 c_{2} + 2$	$10$	$14$	$31$	$31/5$	$31/5$	$100\%$	$1$	$10$
2.5.2.15a	$2$	$10$	$5$	$2$	$15$	$[3]$	$[2]$	$\langle1\rangle$	$(2)$	$x^2 + 4 b_{3} x + 8 c_{4} + 2$	$10$	$16$	$32$	$32/5$	$32/5$	$100\%$	$1$	$2$
2.2.5.8a	$2$	$10$	$2$	$5$	$8$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^5 + 2$	$2$	$1$	$1$	$1/2$	$1/2$	$100\%$	$0$	$1$
2.1.10.10a	$2$	$10$	$1$	$10$	$10$	$[\frac{6}{5}]$	$[\frac{1}{5}]$	$\langle\frac{1}{10}\rangle$	$(1)$	$x^{10} + 2 c_{2} x^2 + 2 a_{1} x + 2$	$2$	$2$	$1$	$1$	$1$	$100\%$	$1$	$2$
2.1.10.12a	$2$	$10$	$1$	$10$	$12$	$[\frac{8}{5}]$	$[\frac{3}{5}]$	$\langle\frac{3}{10}\rangle$	$(3)$	$x^{10} + 2 c_{6} x^6 + 2 b_{5} x^5 + 2 a_{3} x^3 + 2$	$2$	$4$	$2$	$2$	$2$	$100\%$	$1$	$2$
2.1.10.14a	$2$	$10$	$1$	$10$	$14$	$[2]$	$[1]$	$\langle\frac{1}{2}\rangle$	$(5)$	$x^{10} + 2 b_{9} x^9 + 2 b_{7} x^7 + 2 a_{5} x^5 + 4 c_{10} + 2$	$2$	$8$	$4$	$4$	$4$	$100\%$	$1$	$3$
2.1.10.16a	$2$	$10$	$1$	$10$	$16$	$[\frac{12}{5}]$	$[\frac{7}{5}]$	$\langle\frac{7}{10}\rangle$	$(7)$	$x^{10} + 2 b_{9} x^9 + 2 a_{7} x^7 + 4 c_{14} x^4 + 4 b_{13} x^3 + 4 b_{11} x + 2$	$2$	$16$	$8$	$8$	$8$	$100\%$	$1$	$3$
2.1.10.18a	$2$	$10$	$1$	$10$	$18$	$[\frac{14}{5}]$	$[\frac{9}{5}]$	$\langle\frac{9}{10}\rangle$	$(9)$	$x^{10} + 2 a_{9} x^9 + 4 c_{18} x^8 + 4 b_{17} x^7 + 4 b_{15} x^5 + 4 b_{13} x^3 + 4 b_{11} x + 2$	$2$	$32$	$16$	$16$	$16$	$100\%$	$1$	$3$
2.1.10.19a	$2$	$10$	$1$	$10$	$19$	$[3]$	$[2]$	$\langle1\rangle$	$(10)$	$x^{10} + 4 b_{19} x^9 + 4 b_{17} x^7 + 4 b_{15} x^5 + 4 b_{13} x^3 + 4 b_{11} x + 8 c_{20} + 2$	$2$	$64$	$32$	$32$	$32$	$100\%$	$1$	$5$

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