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

Results (5 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.a	$99$	$6$	99.a	1.a	$1$	$1$	$1$	$15.878$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(92\)	\(-26\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-31q^{4}+92q^{5}-26q^{7}+63q^{8}+\cdots\)
99.6.a.b	$99$	$6$	99.a	1.a	$1$	$1$	$1$	$15.878$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-46\)	\(148\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-28q^{4}-46q^{5}+148q^{7}+\cdots\)
99.6.a.e	$99$	$6$	99.a	1.a	$1$	$2$	$2$	$15.878$	\(\Q(\sqrt{313}) \)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(38\)	\(-18\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(46+\beta )q^{4}+(24-10\beta )q^{5}+\cdots\)
99.6.a.g	$99$	$6$	99.a	1.a	$1$	$3$	$3$	$15.878$	3.3.54492.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-24\)	\(84\)		$-$	$+$	$-$	$3$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+(28-2\beta _{1}-4\beta _{2})q^{4}+(-8+\cdots)q^{5}+\cdots\)
99.6.a.i	$99$	$6$	99.a	1.a	$1$	$5$	$5$	$15.878$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(0\)	\(100\)	\(-18\)		$+$	$-$	$-$	$2^{5}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(21-3\beta _{1}+\beta _{4})q^{4}+\cdots\)