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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	11
99.6.a.c	$99$	$6$	99.a	1.a	$1$	$1$	$1$	$15.878$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(0\)	\(19\)	\(10\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-2^{4}q^{4}+19q^{5}+10q^{7}-192q^{8}+\cdots\)
99.6.a.d	$99$	$6$	99.a	1.a	$1$	$2$	$2$	$15.878$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(-13\)	\(0\)	\(-58\)	\(146\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-6-\beta )q^{2}+(12+13\beta )q^{4}+(-34+\cdots)q^{5}+\cdots\)
99.6.a.f	$99$	$6$	99.a	1.a	$1$	$2$	$2$	$15.878$	\(\Q(\sqrt{177}) \)	None	✓	$1$	$1$	\(5\)	\(0\)	\(-58\)	\(-286\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(3-\beta )q^{2}+(21-5\beta )q^{4}+(-34+10\beta )q^{5}+\cdots\)
99.6.a.h	$99$	$6$	99.a	1.a	$1$	$5$	$5$	$15.878$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-100\)	\(-18\)		$+$	$+$	$+$	$2^{5}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(21-3\beta _{1}+\beta _{4})q^{4}+\cdots\)