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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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base ram. index
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base disc. exponent
abs. disc. exponent
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abs. Artin slopes
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Results (4 matches)
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displayed columns
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Pari/GP
SageMath
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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
7.1.21.39a
$7$
$21$
$1$
$21$
$1$
$1$
$1$
$21$
$1$
$21$
$39$
$0$
$39$
$\Q_{7}$
$[\frac{37}{18}]$
$[\frac{19}{18}]$
$\langle\frac{19}{21}\rangle$
$(\frac{19}{6})$
$x^{21} + 7 b_{20} x^{20} + 7 a_{19} x^{19} + 49 b_{22} x + 7 d_{0}$
$3$
$294$
$294$
$294$
$294$
$100\%$
$1$
7.1.3.2a1.1-1.7.25a
$7$
$7$
$3$
$21$
$1$
$1$
$1$
$7$
$3$
$21$
$25$
$2$
$25$
7.1.3.2a1.1
$[\frac{37}{18}]$
$[\frac{19}{6}]$
$\langle\frac{19}{7}\rangle$
$(\frac{19}{6})$
$x^7 + b_{20} \pi^3 x^6 + a_{19} \pi^3 x^5 + b_{22} \pi^4 x + \pi$
$1$
$98$
$294$
$98$
$98$
$100\%$
$1$
7.1.3.2a1.2-1.7.25a
$7$
$7$
$3$
$21$
$1$
$1$
$1$
$7$
$3$
$21$
$25$
$2$
$25$
7.1.3.2a1.2
$[\frac{37}{18}]$
$[\frac{19}{6}]$
$\langle\frac{19}{7}\rangle$
$(\frac{19}{6})$
$x^7 + b_{20} \pi^3 x^6 + a_{19} \pi^3 x^5 + b_{22} \pi^4 x + \pi$
$1$
$98$
$294$
$98$
$98$
$100\%$
$1$
7.1.3.2a1.3-1.7.25a
$7$
$7$
$3$
$21$
$1$
$1$
$1$
$7$
$3$
$21$
$25$
$2$
$25$
7.1.3.2a1.3
$[\frac{37}{18}]$
$[\frac{19}{6}]$
$\langle\frac{19}{7}\rangle$
$(\frac{19}{6})$
$x^7 + b_{20} \pi^3 x^6 + a_{19} \pi^3 x^5 + b_{22} \pi^4 x + \pi$
$1$
$98$
$294$
$98$
$98$
$100\%$
$1$
Download
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Pari/GP
SageMath
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Oscar
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