$p$-adic family 197.1.1.0a

• Label: 197.1.1.0a
• Base: 197.1.1.0a1.1
• Degree: \(1\)
• e: \(1\)
• f: \(1\)
• c: \(0\)

Invariants

Residue field characteristic:	$197$
Degree:	$1$
Base field:	$\Q_{197}$
Ramification index $e$:	$1$
Residue field degree $f$:	$1$
Discriminant exponent $c$:	$0$
Artin slopes:	$[\ ]$
Swan slopes:	$[\ ]$
Means:	$\langle\ \rangle$
Rams:	$(\ )$
Field count:	$1$ (complete)
Ambiguity:	$1$
Mass:	$1$
Absolute Mass:	$1$

Varying

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

Galois groups and Hidden Artin slopes

		Galois groups
		$C_1$ (as 1T1)
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
197.1.1.0a1.1	1	$x + 195$	Trivial (as 1T1)	$1$	$1$	$[\ ]$	$[\ ]$	$[\ ]$	$[\ ]$	$[0]$	$[\ ]$		undefined

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