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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	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	13
117.4.a.a	$117$	$4$	117.a	1.a	$1$	$1$	$1$	$6.903$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(12\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{4}+12q^{5}+2q^{7}+6^{2}q^{11}+13q^{13}+\cdots\)
117.4.a.b	$117$	$4$	117.a	1.a	$1$	$1$	$1$	$6.903$	\(\Q\)	None	✓	$1$	$0$	\(5\)	\(0\)	\(7\)	\(-13\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{2}+17q^{4}+7q^{5}-13q^{7}+45q^{8}+\cdots\)
117.4.a.f	$117$	$4$	117.a	1.a	$1$	$3$	$3$	$6.903$	3.3.3144.1	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-4\)	\(30\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(3+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots\)
117.4.a.g	$117$	$4$	117.a	1.a	$1$	$4$	$4$	$6.903$	4.4.1520092.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(36\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(14+\beta _{2})q^{4}-\beta _{3}q^{5}+(8+\cdots)q^{7}+\cdots\)