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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Results (displaying both matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	19
38.4.a.b	$38$	$4$	38.a	1.a	$1$	$2$	$2$	$2.242$	\(\Q(\sqrt{177}) \)	None	✓	✓	✓	✓	38.4.a.b	$1$	$0$	\(-4\)	\(1\)	\(10\)	\(57\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+(1-\beta )q^{3}+4q^{4}+(4+2\beta )q^{5}+\cdots\)
38.4.a.c	$38$	$4$	38.a	1.a	$1$	$2$	$2$	$2.242$	\(\Q(\sqrt{73}) \)	None	✓	✓	✓	✓	38.4.a.c	$1$	$0$	\(4\)	\(9\)	\(-9\)	\(-18\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+(5-\beta )q^{3}+4q^{4}+(-6+3\beta )q^{5}+\cdots\)