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

Results (3 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	19
133.4.a.a	$133$	$4$	133.a	1.a	$1$	$1$	$1$	$7.847$	\(\Q\)	None	✓	$1$	$0$	\(4\)	\(8\)	\(6\)	\(-7\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+8q^{3}+8q^{4}+6q^{5}+2^{5}q^{6}+\cdots\)
133.4.a.c	$133$	$4$	133.a	1.a	$1$	$6$	$6$	$7.847$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(7\)	\(-29\)	\(-42\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{5})q^{3}+(4+\beta _{1}+\beta _{3}+\cdots)q^{4}+\cdots\)
133.4.a.e	$133$	$4$	133.a	1.a	$1$	$8$	$8$	$7.847$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(13\)	\(37\)	\(56\)		$-$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2-\beta _{4})q^{3}+(4+\beta _{2})q^{4}+\cdots\)