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

Results (4 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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		17	19
323.2.a.a	$323$	$2$	323.a	1.a	$1$	$1$	$1$	$2.579$	\(\Q\)	None	✓	✓			323.2.a.a	$1$	$0$	\(0\)	\(3\)	\(-2\)	\(4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-2q^{4}-2q^{5}+4q^{7}+6q^{9}+\cdots\)
323.2.a.b	$323$	$2$	323.a	1.a	$1$	$2$	$2$	$2.579$	\(\Q(\sqrt{17}) \)	None	✓	✓			323.2.a.b	$1$	$0$	\(-1\)	\(1\)	\(4\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(1-\beta )q^{3}+(2+\beta )q^{4}+2q^{5}+\cdots\)
323.2.a.e	$323$	$2$	323.a	1.a	$1$	$6$	$6$	$2.579$	6.6.28145473.1	None	✓	✓	✓		323.2.a.e	$1$	$0$	\(2\)	\(-3\)	\(-1\)	\(5\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{4}q^{2}-\beta _{1}q^{3}+(1+\beta _{4}-\beta _{5})q^{4}+\cdots\)
323.2.a.f	$323$	$2$	323.a	1.a	$1$	$7$	$7$	$2.579$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	✓	✓	✓	323.2.a.f	$1$	$0$	\(1\)	\(3\)	\(7\)	\(1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{5}q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{6})q^{5}+\cdots\)