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Results (7 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1045.1.k.a	$1045$	$1$	1045.k	1045.k	$4$	$2$	$1$	$0.522$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{209}) \)		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-1-i)q^{2}+iq^{4}-iq^{5}-q^{8}+\cdots\)
1045.1.k.d	$1045$	$1$	1045.k	1045.k	$4$	$2$	$1$	$0.522$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{209}) \)		$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(1+i)q^{2}+iq^{4}-iq^{5}+q^{8}-iq^{9}+\cdots\)
1672.1.d.a	$1672$	$1$	1672.d	1672.d	$2$	$1$	$1$	$0.834$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-418}) \)	\(\Q(\sqrt{209}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}+q^{9}-q^{11}+q^{16}+\cdots\)
1672.1.d.b	$1672$	$1$	1672.d	1672.d	$2$	$1$	$1$	$0.834$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-418}) \)	\(\Q(\sqrt{209}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{8}+q^{9}-q^{11}+q^{16}+\cdots\)
3971.1.c.a	$3971$	$1$	3971.c	11.b	$2$	$1$	$1$	$1.982$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-19}) \)	\(\Q(\sqrt{209}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+q^{4}-2q^{5}-q^{9}-q^{11}+q^{16}-2q^{20}+\cdots\)
3971.1.h.a	$3971$	$1$	3971.h	209.h	$6$	$2$	$1$	$1.982$	\(\Q(\sqrt{-3}) \)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-19}) \)	\(\Q(\sqrt{209}) \)		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}-\zeta_{6}^{2}q^{9}-q^{11}+\cdots\)
3971.1.q.a	$3971$	$1$	3971.q	209.q	$18$	$6$	$1$	$1.982$	\(\Q(\zeta_{18})\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-19}) \)	\(\Q(\sqrt{209}) \)		$24$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{18}^{2}q^{4}+\zeta_{18}^{7}q^{5}-\zeta_{18}^{8}q^{9}+\cdots\)