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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
Wild segments
Absolute label
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▲ base
discriminant exponent
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✓ label
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✓ degree
base degree
abs. degree
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base res. field degree
abs. residue field degree
✓ ram. index
base ram. index
abs. ram. index
✓ disc. exponent
base disc. exponent
abs. disc. exponent
✓ base
abs. Artin slopes
✓ Swan slopes
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generic poly
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mass (absolute)
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wild segments
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Results (7 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
5.4.2.4a
$5$
$8$
$1$
$8$
$4$
$1$
$4$
$2$
$1$
$2$
$4$
$0$
$4$
$\Q_{5}$
$[\ ]$
$[ ]$
$\langle \rangle$
$( )$
$x^2 + 5 d_{0}$
$8$
$2$
$1$
$1/4$
$1/4$
$100\%$
$0$
5.2.1.0a1.1-2.2.2a
$5$
$4$
$2$
$8$
$2$
$2$
$4$
$2$
$1$
$2$
$2$
$0$
$2$
$\Q_{5}(\sqrt{2})$
$[\ ]$
$[ ]$
$\langle \rangle$
$( )$
$x^2 + 5 d_{0}$
$4$
$2$
$1$
$1/4$
$1/4$
$100\%$
$0$
5.1.2.1a1.1-4.1.0a
$5$
$4$
$2$
$8$
$4$
$1$
$4$
$1$
$2$
$2$
$0$
$1$
$0$
$\Q_{5}(\sqrt{5})$
$[\ ]$
$[ ]$
$\langle \rangle$
$( )$
$x$
$4$
$1$
$1$
$1/8$
$1/8$
$100\%$
$0$
5.1.2.1a1.2-4.1.0a
$5$
$4$
$2$
$8$
$4$
$1$
$4$
$1$
$2$
$2$
$0$
$1$
$0$
$\Q_{5}(\sqrt{5\cdot 2})$
$[\ ]$
$[ ]$
$\langle \rangle$
$( )$
$x$
$4$
$1$
$1$
$1/8$
$1/8$
$100\%$
$0$
5.4.1.0a1.1-1.2.1a
$5$
$2$
$4$
$8$
$1$
$4$
$4$
$2$
$1$
$2$
$1$
$0$
$1$
5.4.1.0a1.1
$[\ ]$
$[ ]$
$\langle \rangle$
$( )$
$x^2 + 5 d_{0}$
$2$
$2$
$1$
$1/4$
$1/4$
$100\%$
$0$
5.2.2.2a1.1-2.1.0a
$5$
$2$
$4$
$8$
$2$
$2$
$4$
$1$
$2$
$2$
$0$
$2$
$0$
5.2.2.2a1.1
$[\ ]$
$[ ]$
$\langle \rangle$
$( )$
$x$
$2$
$1$
$1$
$1/8$
$1/8$
$100\%$
$0$
5.2.2.2a1.2-2.1.0a
$5$
$2$
$4$
$8$
$2$
$2$
$4$
$1$
$2$
$2$
$0$
$2$
$0$
5.2.2.2a1.2
$[\ ]$
$[ ]$
$\langle \rangle$
$( )$
$x$
$2$
$1$
$1$
$1/8$
$1/8$
$100\%$
$0$
Download
displayed columns
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results
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Pari/GP
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