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$p$-adic field labels
Refine search
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
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discriminant exponent
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base res. field degree
abs. residue field degree
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abs. disc. exponent
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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
3.1.21.33a
$3$
$21$
$1$
$21$
$1$
$1$
$1$
$21$
$1$
$21$
$33$
$0$
$33$
$\Q_{3}$
$[\frac{27}{14}]$
$[\frac{13}{14}]$
$\langle\frac{13}{21}\rangle$
$(\frac{13}{2})$
$x^{21} + 3 b_{19} x^{19} + 3 b_{17} x^{17} + 3 b_{16} x^{16} + 3 b_{14} x^{14} + 3 a_{13} x^{13} + 3$
$1$
$162$
$162$
$162$
$162$
$100\%$
$1$
3.1.7.6a1.1-1.3.15a
$3$
$3$
$7$
$21$
$1$
$1$
$1$
$3$
$7$
$21$
$15$
$6$
$15$
3.1.7.6a1.1
$[\frac{27}{14}]$
$[\frac{13}{2}]$
$\langle\frac{13}{3}\rangle$
$(\frac{13}{2})$
$x^3 + (b_{17} \pi^6 + b_{14} \pi^5) x^2 + (b_{19} \pi^7 + b_{16} \pi^6 + a_{13} \pi^5) x + \pi$
$1$
$162$
$162$
$162$
$162$
$100\%$
$1$
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