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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	11	19
1045.2.a.a	$1045$	$2$	1045.a	1.a	$1$	$1$	$1$	$8.344$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(-1\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}-q^{4}-q^{5}+2q^{6}-2q^{7}+\cdots\)
1045.2.a.b	$1045$	$2$	1045.a	1.a	$1$	$1$	$1$	$8.344$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(1\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+q^{5}-3q^{8}-3q^{9}+q^{10}+\cdots\)
1045.2.a.d	$1045$	$2$	1045.a	1.a	$1$	$5$	$5$	$8.344$	\(\Q(\zeta_{22})^+\)	None	✓	$1$	$1$	\(-3\)	\(-7\)	\(5\)	\(-11\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1}-\beta _{4})q^{2}+(-2-\beta _{2}+\beta _{3}+\cdots)q^{3}+\cdots\)
1045.2.a.e	$1045$	$2$	1045.a	1.a	$1$	$5$	$5$	$8.344$	5.5.36497.1	None	✓	$1$	$1$	\(-1\)	\(-3\)	\(-5\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{4}q^{2}+(-1+\beta _{1})q^{3}+\beta _{3}q^{4}-q^{5}+\cdots\)
1045.2.a.f	$1045$	$2$	1045.a	1.a	$1$	$6$	$6$	$8.344$	6.6.7281497.1	None	✓	$1$	$1$	\(-2\)	\(-1\)	\(-6\)	\(5\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{4}q^{2}+\beta _{3}q^{3}+(\beta _{4}+\beta _{5})q^{4}-q^{5}+\cdots\)
1045.2.a.i	$1045$	$2$	1045.a	1.a	$1$	$8$	$8$	$8.344$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-6\)	\(-7\)	\(8\)	\(-11\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(-1-\beta _{6})q^{3}+(2+\cdots)q^{4}+\cdots\)