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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 degree
abs. degree
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base res. field degree
abs. residue field degree
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base ram. index
abs. ram. index
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base disc. exponent
abs. disc. exponent
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abs. Artin slopes
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mass (absolute)
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Results (6 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
2.6.2.12a3.2-2.1.0a
$2$
$2$
$12$
$24$
$2$
$6$
$12$
$1$
$2$
$2$
$0$
$12$
$2$
2.6.2.12a3.2
$[2]$
$[ ]$
$\langle \rangle$
$( )$
$x$
$2$
$0$
$1$
$1/4$
$0$
$0\%$
$0$
2.6.2.12a3.2-1.2.2a
$2$
$2$
$12$
$24$
$1$
$6$
$6$
$2$
$2$
$4$
$2$
$12$
$3$
2.6.2.12a3.2
$[2, 2]$
$[1]$
$\langle\frac{1}{2}\rangle$
$(1)$
$x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$
$2$
$0$
$63$
$63/2$
$0$
$0\%$
$1$
2.6.2.12a3.2-1.2.4a
$2$
$2$
$12$
$24$
$1$
$6$
$6$
$2$
$2$
$4$
$4$
$12$
$5$
2.6.2.12a3.2
$[2, 3]$
$[3]$
$\langle\frac{3}{2}\rangle$
$(3)$
$x^2 + (b_{5} \pi^3 + a_{3} \pi^2) x + c_{6} \pi^4 + \pi$
$2$
$0$
$4032$
$2016$
$0$
$0\%$
$1$
2.6.2.12a3.2-1.2.5a
$2$
$2$
$12$
$24$
$1$
$6$
$6$
$2$
$2$
$4$
$5$
$12$
$6$
2.6.2.12a3.2
$[2, \frac{7}{2}]$
$[4]$
$\langle2\rangle$
$(4)$
$x^2 + (b_{7} \pi^4 + b_{5} \pi^3) x + c_{8} \pi^5 + \pi$
$2$
$0$
$4096$
$2048$
$0$
$0\%$
$1$
2.6.2.12a3.2-3.1.0a
$2$
$3$
$12$
$36$
$3$
$6$
$18$
$1$
$2$
$2$
$0$
$12$
$3$
2.6.2.12a3.2
$[2]$
$[ ]$
$\langle \rangle$
$( )$
$x$
$3$
$0$
$1$
$1/6$
$0$
$0\%$
$0$
2.6.2.12a3.2-1.3.2a
$2$
$3$
$12$
$36$
$1$
$6$
$6$
$3$
$2$
$6$
$2$
$12$
$3$
2.6.2.12a3.2
$[2]$
$[ ]$
$\langle \rangle$
$( )$
$x^3 + d_{0} \pi$
$3$
$0$
$1$
$1/2$
$0$
$0\%$
$0$
Download
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Pari/GP
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