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

Results (6 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	7
588.4.a.a	$588$	$4$	588.a	1.a	$1$	$1$	$1$	$34.693$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-14\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-14q^{5}+9q^{9}+4q^{11}-54q^{13}+\cdots\)
588.4.a.b	$588$	$4$	588.a	1.a	$1$	$1$	$1$	$34.693$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(4\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+4q^{5}+9q^{9}-20q^{11}-4q^{13}+\cdots\)
588.4.a.c	$588$	$4$	588.a	1.a	$1$	$1$	$1$	$34.693$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(18\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+18q^{5}+9q^{9}+6^{2}q^{11}+10q^{13}+\cdots\)
588.4.a.f	$588$	$4$	588.a	1.a	$1$	$2$	$2$	$34.693$	\(\Q(\sqrt{193}) \)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(-11\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+(-5-\beta )q^{5}+9q^{9}+(1-7\beta )q^{11}+\cdots\)
588.4.a.i	$588$	$4$	588.a	1.a	$1$	$2$	$2$	$34.693$	\(\Q(\sqrt{193}) \)	None	✓	$1$	$0$	\(0\)	\(6\)	\(11\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+(6-\beta )q^{5}+9q^{9}+(-6+7\beta )q^{11}+\cdots\)
588.4.a.k	$588$	$4$	588.a	1.a	$1$	$4$	$4$	$34.693$	4.4.136768.1	None	✓	$1$	$0$	\(0\)	\(12\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$2^{4}\cdot 7$	$\mathrm{SU}(2)$	\(q+3q^{3}+\beta _{1}q^{5}+9q^{9}+(3\beta _{1}-\beta _{3})q^{11}+\cdots\)