$p$-adic family 61.2.1.0a

• Label: 61.2.1.0a
• Base: 61.1.1.0a1.1
• Degree: \(2\)
• e: \(1\)
• f: \(2\)
• c: \(0\)

Invariants

Residue field characteristic:	$61$
Degree:	$2$
Base field:	$\Q_{61}$
Ramification index $e$:	$1$
Residue field degree $f$:	$2$
Discriminant exponent $c$:	$0$
Artin slopes:	$[\ ]$
Swan slopes:	$[\ ]$
Means:	$\langle\ \rangle$
Rams:	$(\ )$
Field count:	$1$ (complete)
Ambiguity:	$2$
Mass:	$1$
Absolute Mass:	$1/2$

Varying

Indices of inseparability:	$[0]$
Associated inertia:	$[\ ]$
Jump Set:	undefined

Galois groups and Hidden Artin slopes

		Galois groups
		$C_2$ (as 2T1)
hidden slopes	$[\ ]$	1

Fields

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Label	Packet size	Polynomial	Galois group	Galois degree	$\#\Aut(K/\Q_p)$	Artin slope content	Swan slope content	Hidden Artin slopes	Hidden Swan slopes	Ind. of Insep.	Assoc. Inertia	Resid. Poly	Jump Set
61.2.1.0a1.1	1	$x^{2} + 60 x + 2$	$C_2$ (as 2T1)	$2$	$2$	$[\ ]^{2}$	$[\ ]^{2}$	$[\ ]$	$[\ ]$	$[0]$	$[\ ]$		undefined

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