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 (12 matches)

  Download displayed columns for results to

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
2.14.1.0a	$2$	$14$	$14$	$1$	$0$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$14$	$1$	$1$	$1/14$	$1/14$	$100\%$	$0$	$1$
2.7.2.14a	$2$	$14$	$7$	$2$	$14$	$[2]$	$[1]$	$\langle\frac{1}{2}\rangle$	$(1)$	$x^2 + 2 a_{1} x + 4 c_{2} + 2$	$14$	$38$	$127$	$127/7$	$127/7$	$100\%$	$1$	$28$
2.7.2.21a	$2$	$14$	$7$	$2$	$21$	$[3]$	$[2]$	$\langle1\rangle$	$(2)$	$x^2 + 4 b_{3} x + 8 c_{4} + 2$	$14$	$40$	$128$	$128/7$	$128/7$	$100\%$	$1$	$3$
2.2.7.12a	$2$	$14$	$2$	$7$	$12$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^7 + 2$	$2$	$1$	$1$	$1/2$	$1/2$	$100\%$	$0$	$1$
2.1.14.14a	$2$	$14$	$1$	$14$	$14$	$[\frac{8}{7}]$	$[\frac{1}{7}]$	$\langle\frac{1}{14}\rangle$	$(1)$	$x^{14} + 2 c_{2} x^2 + 2 a_{1} x + 2$	$2$	$2$	$1$	$1$	$1$	$100\%$	$1$	$2$
2.1.14.16a	$2$	$14$	$1$	$14$	$16$	$[\frac{10}{7}]$	$[\frac{3}{7}]$	$\langle\frac{3}{14}\rangle$	$(3)$	$x^{14} + 2 c_{6} x^6 + 2 b_{5} x^5 + 2 a_{3} x^3 + 2$	$2$	$4$	$2$	$2$	$2$	$100\%$	$1$	$4$
2.1.14.18a	$2$	$14$	$1$	$14$	$18$	$[\frac{12}{7}]$	$[\frac{5}{7}]$	$\langle\frac{5}{14}\rangle$	$(5)$	$x^{14} + 2 c_{10} x^{10} + 2 b_{9} x^9 + 2 b_{7} x^7 + 2 a_{5} x^5 + 2$	$2$	$8$	$4$	$4$	$4$	$100\%$	$1$	$4$
2.1.14.20a	$2$	$14$	$1$	$14$	$20$	$[2]$	$[1]$	$\langle\frac{1}{2}\rangle$	$(7)$	$x^{14} + 2 b_{13} x^{13} + 2 b_{11} x^{11} + 2 b_{9} x^9 + 2 a_{7} x^7 + 4 c_{14} + 2$	$2$	$16$	$8$	$8$	$8$	$100\%$	$1$	$6$
2.1.14.22a	$2$	$14$	$1$	$14$	$22$	$[\frac{16}{7}]$	$[\frac{9}{7}]$	$\langle\frac{9}{14}\rangle$	$(9)$	$x^{14} + 2 b_{13} x^{13} + 2 b_{11} x^{11} + 2 a_{9} x^9 + 4 c_{18} x^4 + 4 b_{17} x^3 + 4 b_{15} x + 2$	$2$	$32$	$16$	$16$	$16$	$100\%$	$1$	$9$
2.1.14.24a	$2$	$14$	$1$	$14$	$24$	$[\frac{18}{7}]$	$[\frac{11}{7}]$	$\langle\frac{11}{14}\rangle$	$(11)$	$x^{14} + 2 b_{13} x^{13} + 2 a_{11} x^{11} + 4 c_{22} x^8 + 4 b_{21} x^7 + 4 b_{19} x^5 + 4 b_{17} x^3 + 4 b_{15} x + 2$	$2$	$64$	$32$	$32$	$32$	$100\%$	$1$	$9$
2.1.14.26a	$2$	$14$	$1$	$14$	$26$	$[\frac{20}{7}]$	$[\frac{13}{7}]$	$\langle\frac{13}{14}\rangle$	$(13)$	$x^{14} + 2 a_{13} x^{13} + 4 c_{26} x^{12} + 4 b_{25} x^{11} + 4 b_{23} x^9 + 4 b_{21} x^7 + 4 b_{19} x^5 + 4 b_{17} x^3 + 4 b_{15} x + 2$	$2$	$128$	$64$	$64$	$64$	$100\%$	$1$	$12$
2.1.14.27a	$2$	$14$	$1$	$14$	$27$	$[3]$	$[2]$	$\langle1\rangle$	$(14)$	$x^{14} + 4 b_{27} x^{13} + 4 b_{25} x^{11} + 4 b_{23} x^9 + 4 b_{21} x^7 + 4 b_{19} x^5 + 4 b_{17} x^3 + 4 b_{15} x + 8 c_{28} + 2$	$2$	$256$	$128$	$128$	$128$	$100\%$	$1$	$16$

  Download displayed columns for results to