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Results (6 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3431.1.d.a	$3431$	$1$	3431.d	3431.d	$2$	$1$	$1$	$1.712$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3431}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+2q^{2}-q^{3}+3q^{4}-q^{5}-2q^{6}+4q^{8}+\cdots\)
3431.1.d.b	$3431$	$1$	3431.d	3431.d	$2$	$1$	$1$	$1.712$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3431}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(1\)	\(0\)	$1$		\(q+2q^{2}-q^{3}+3q^{4}+q^{5}-2q^{6}+4q^{8}+\cdots\)
3431.1.d.e	$3431$	$1$	3431.d	3431.d	$2$	$5$	$5$	$1.712$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-3431}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+\beta _{4}q^{2}-\beta _{3}q^{3}+(1-\beta _{3})q^{4}+\beta _{4}q^{5}+\cdots\)
3431.1.d.f	$3431$	$1$	3431.d	3431.d	$2$	$5$	$5$	$1.712$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-3431}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(1\)	\(0\)	$1$		\(q+(-1+\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4})q^{2}-\beta _{1}q^{3}+\cdots\)
3431.1.d.g	$3431$	$1$	3431.d	3431.d	$2$	$10$	$10$	$1.712$	\(\Q(\zeta_{33})^+\)	$D_{33}$	\(\Q(\sqrt{-3431}) \)	None	✓	$2$	$0$	\(-2\)	\(1\)	\(-1\)	\(0\)	$1$		\(q-\beta _{7}q^{2}+(-\beta _{3}-\beta _{8})q^{3}+(1+\beta _{3}+\cdots)q^{4}+\cdots\)
3431.1.d.h	$3431$	$1$	3431.d	3431.d	$2$	$10$	$10$	$1.712$	\(\Q(\zeta_{33})^+\)	$D_{33}$	\(\Q(\sqrt{-3431}) \)	None	✓	$2$	$0$	\(-2\)	\(1\)	\(1\)	\(0\)	$1$		\(q+\beta _{9}q^{2}+\beta _{4}q^{3}+(1-\beta _{7})q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots\)