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

Results (7 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		7	11
539.2.a.b	$539$	$2$	539.a	1.a	$1$	$1$	$1$	$4.304$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-3\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}-3q^{5}-2q^{9}-q^{11}+\cdots\)
539.2.a.c	$539$	$2$	539.a	1.a	$1$	$1$	$1$	$4.304$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(1\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-2q^{4}+q^{5}+6q^{9}-q^{11}+\cdots\)
539.2.a.f	$539$	$2$	539.a	1.a	$1$	$2$	$2$	$4.304$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(4\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-1-\beta )q^{3}+3q^{4}+2q^{5}+\cdots\)
539.2.a.i	$539$	$2$	539.a	1.a	$1$	$3$	$3$	$4.304$	3.3.257.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(2\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+\beta _{1}q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\cdots\)
539.2.a.j	$539$	$2$	539.a	1.a	$1$	$3$	$3$	$4.304$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(6\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1-\beta _{1}+\beta _{2})q^{3}+\beta _{2}q^{4}+\cdots\)
539.2.a.k	$539$	$2$	539.a	1.a	$1$	$4$	$4$	$4.304$	4.4.9248.1	None	✓	$2$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{2}+\beta _{2}q^{3}+(2-\beta _{3})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
539.2.a.l	$539$	$2$	539.a	1.a	$1$	$10$	$10$	$4.304$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$2$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{5}q^{2}+\beta _{1}q^{3}+(2+\beta _{9})q^{4}+\beta _{7}q^{5}+\cdots\)