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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	47
1175.4.a.b	$1175$	$4$	1175.a	1.a	$1$	$8$	$8$	$69.327$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(-7\)	\(0\)	\(-39\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1-\beta _{5})q^{3}+(5+\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots\)
1175.4.a.c	$1175$	$4$	1175.a	1.a	$1$	$8$	$8$	$69.327$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(3\)	\(10\)	\(0\)	\(15\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2-\beta _{1}-\beta _{3})q^{3}+(1+\beta _{1}+\cdots)q^{4}+\cdots\)
1175.4.a.d	$1175$	$4$	1175.a	1.a	$1$	$10$	$10$	$69.327$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(-7\)	\(-8\)	\(0\)	\(-9\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(-1+\beta _{6})q^{3}+(4+\cdots)q^{4}+\cdots\)
1175.4.a.g	$1175$	$4$	1175.a	1.a	$1$	$18$	$18$	$69.327$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(-7\)	\(0\)	\(-6\)		$+$	$-$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{4}q^{3}+(3+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
1175.4.a.h	$1175$	$4$	1175.a	1.a	$1$	$18$	$18$	$69.327$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(7\)	\(0\)	\(6\)		$-$	$+$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{4}q^{3}+(3+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
1175.4.a.k	$1175$	$4$	1175.a	1.a	$1$	$35$	$35$	$69.327$		None	✓	$1$	$1$	\(-8\)	\(-12\)	\(0\)	\(-84\)		$-$	$+$	$-$		$\mathrm{SU}(2)$