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

Results (10 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	149
8046.2.a.c	$8046$	$2$	8046.a	1.a	$1$	$2$	$2$	$64.248$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+2\beta q^{5}+(1-2\beta )q^{7}-q^{8}+\cdots\)
8046.2.a.d	$8046$	$2$	8046.a	1.a	$1$	$2$	$2$	$64.248$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+2\beta q^{5}+(1+2\beta )q^{7}+q^{8}+\cdots\)
8046.2.a.k	$8046$	$2$	8046.a	1.a	$1$	$12$	$12$	$64.248$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(-12\)	\(0\)	\(3\)	\(-6\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+\beta _{1}q^{5}+(-1-\beta _{9})q^{7}+\cdots\)
8046.2.a.l	$8046$	$2$	8046.a	1.a	$1$	$12$	$12$	$64.248$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(-12\)	\(0\)	\(5\)	\(-6\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+\beta _{1}q^{5}-\beta _{2}q^{7}-q^{8}+\cdots\)
8046.2.a.o	$8046$	$2$	8046.a	1.a	$1$	$12$	$12$	$64.248$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(12\)	\(0\)	\(3\)	\(6\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+\beta _{1}q^{5}+(1+\beta _{6})q^{7}+q^{8}+\cdots\)
8046.2.a.p	$8046$	$2$	8046.a	1.a	$1$	$12$	$12$	$64.248$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(12\)	\(0\)	\(5\)	\(6\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+\beta _{1}q^{5}+(1-\beta _{5})q^{7}+q^{8}+\cdots\)
8046.2.a.q	$8046$	$2$	8046.a	1.a	$1$	$14$	$14$	$64.248$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(-14\)	\(0\)	\(-2\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-\beta _{1}q^{5}-\beta _{11}q^{7}-q^{8}+\cdots\)
8046.2.a.r	$8046$	$2$	8046.a	1.a	$1$	$14$	$14$	$64.248$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(14\)	\(0\)	\(2\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+\beta _{1}q^{5}-\beta _{11}q^{7}+q^{8}+\cdots\)
8046.2.a.s	$8046$	$2$	8046.a	1.a	$1$	$16$	$16$	$64.248$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$0$	\(-16\)	\(0\)	\(-4\)	\(6\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-\beta _{1}q^{5}+\beta _{7}q^{7}-q^{8}+\cdots\)
8046.2.a.t	$8046$	$2$	8046.a	1.a	$1$	$16$	$16$	$64.248$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$0$	\(16\)	\(0\)	\(4\)	\(6\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+\beta _{1}q^{5}+\beta _{7}q^{7}+q^{8}+\cdots\)