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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	167
6012.2.a.a	$6012$	$2$	6012.a	1.a	$1$	$2$	$2$	$48.006$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(6\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}+(2-\beta )q^{7}+(5-\beta )q^{13}-\beta q^{17}+\cdots\)
6012.2.a.c	$6012$	$2$	6012.a	1.a	$1$	$3$	$3$	$48.006$	3.3.148.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{5}+2\beta _{2}q^{7}+(1+\beta _{1}+\beta _{2})q^{11}+\cdots\)
6012.2.a.d	$6012$	$2$	6012.a	1.a	$1$	$5$	$5$	$48.006$	5.5.826865.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-10\)	\(9\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+(2-\beta _{3})q^{7}+(-\beta _{1}-\beta _{2}-\beta _{3}+\cdots)q^{11}+\cdots\)
6012.2.a.f	$6012$	$2$	6012.a	1.a	$1$	$5$	$5$	$48.006$	5.5.161121.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(7\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{3}+\beta _{4})q^{5}+(-1+\beta _{1}+\beta _{3}+\cdots)q^{7}+\cdots\)
6012.2.a.i	$6012$	$2$	6012.a	1.a	$1$	$9$	$9$	$48.006$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{5}+(-\beta _{3}-\beta _{6})q^{7}+(1+\beta _{7}+\cdots)q^{11}+\cdots\)
6012.2.a.k	$6012$	$2$	6012.a	1.a	$1$	$10$	$10$	$48.006$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(6\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{3})q^{5}+\beta _{1}q^{7}+(\beta _{2}-\beta _{3}-\beta _{6}+\cdots)q^{11}+\cdots\)