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

Results (3 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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	151
453.2.a.b	$453$	$2$	453.a	1.a	$1$	$2$	$2$	$3.617$	\(\Q(\sqrt{5}) \)	None	✓	✓	✓	✓	453.2.a.b	$1$	$1$	\(-1\)	\(2\)	\(-1\)	\(-6\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}+(-1+\beta )q^{5}+\cdots\)
453.2.a.e	$453$	$2$	453.a	1.a	$1$	$3$	$3$	$3.617$	\(\Q(\zeta_{14})^+\)	None	✓	✓			453.2.a.e	$1$	$1$	\(-1\)	\(-3\)	\(-3\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}+(-2+\beta _{1}+\cdots)q^{5}+\cdots\)
453.2.a.f	$453$	$2$	453.a	1.a	$1$	$5$	$5$	$3.617$	5.5.1190005.1	None	✓	✓	✓		453.2.a.f	$1$	$1$	\(-3\)	\(-5\)	\(-4\)	\(-6\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}-q^{3}+(3-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)