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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2671.1.b.a	$2671$	$1$	2671.b	2671.b	$2$	$11$	$11$	$1.333$	\(\Q(\zeta_{46})^+\)	$D_{23}$	\(\Q(\sqrt{-2671}) \)	None	✓	✓	✓	✓	2671.1.b.a	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)		$1$		\(q-\beta _{3}q^{2}+(1+\beta _{6})q^{4}+\beta _{4}q^{5}+(-\beta _{3}+\cdots)q^{8}+\cdots\)
2671.2.a.a	$2671$	$2$	2671.a	1.a	$1$	$100$	$100$	$21.328$		$_{}$	None	None	✓	✓	✓	✓	2671.2.a.a	$1$	$1$	\(-15\)	\(-12\)	\(-33\)	\(-14\)	$+$		$\mathrm{SU}(2)$
2671.2.a.b	$2671$	$2$	2671.a	1.a	$1$	$122$	$122$	$21.328$		$_{}$	None	None	✓	✓	✓	✓	2671.2.a.b	$1$	$0$	\(14\)	\(10\)	\(33\)	\(6\)	$-$		$\mathrm{SU}(2)$

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