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Results (8 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1604.1.d.a	$1604$	$1$	1604.d	1604.d	$2$	$1$	$1$	$0.801$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-401}) \)	\(\Q(\sqrt{401}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(2\)	\(0\)	$1$		\(q-q^{2}+q^{4}+2q^{5}-q^{8}-q^{9}-2q^{10}+\cdots\)
1604.1.d.e	$1604$	$1$	1604.d	1604.d	$2$	$4$	$4$	$0.801$	\(\Q(\zeta_{10})\)	$D_{10}$	None	\(\Q(\sqrt{401}) \)		$4$	$0$	\(1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+\zeta_{10}q^{2}+\zeta_{10}^{2}q^{4}+(-\zeta_{10}+\zeta_{10}^{4}+\cdots)q^{5}+\cdots\)
2005.1.g.a	$2005$	$1$	2005.g	2005.g	$4$	$2$	$1$	$1.001$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{401}) \)		$4$	$0$	\(2\)	\(0\)	\(2\)	\(-2\)	$1$		\(q+(1-i)q^{2}-iq^{4}+q^{5}+(-1+i+\cdots)q^{7}+\cdots\)
2005.1.g.b	$2005$	$1$	2005.g	2005.g	$4$	$8$	$4$	$1.001$	\(\Q(\zeta_{20})\)	$D_{20}$	None	\(\Q(\sqrt{401}) \)		$4$	$0$	\(-2\)	\(0\)	\(-2\)	\(2\)	$1$		\(q+(-\zeta_{20}+\zeta_{20}^{4})q^{2}+(\zeta_{20}^{2}-\zeta_{20}^{5}+\cdots)q^{4}+\cdots\)
2807.1.d.a	$2807$	$1$	2807.d	2807.d	$2$	$1$	$1$	$1.401$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-2807}) \)	\(\Q(\sqrt{401}) \)	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-2q^{2}+3q^{4}-q^{7}-4q^{8}-q^{9}+2q^{11}+\cdots\)
2807.1.d.b	$2807$	$1$	2807.d	2807.d	$2$	$4$	$4$	$1.401$	\(\Q(\zeta_{10})\)	$D_{10}$	None	\(\Q(\sqrt{401}) \)		$4$	$0$	\(2\)	\(0\)	\(0\)	\(1\)	$1$		\(q+(\zeta_{10}-\zeta_{10}^{4})q^{2}+(1+\zeta_{10}^{2}-\zeta_{10}^{3}+\cdots)q^{4}+\cdots\)
3208.1.b.a	$3208$	$1$	3208.b	3208.b	$2$	$1$	$1$	$1.601$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-802}) \)	\(\Q(\sqrt{401}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}+q^{9}+2q^{11}+q^{16}+\cdots\)
3208.1.b.e	$3208$	$1$	3208.b	3208.b	$2$	$4$	$4$	$1.601$	\(\Q(\zeta_{10})\)	$D_{10}$	None	\(\Q(\sqrt{401}) \)		$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{10}q^{2}+\zeta_{10}^{2}q^{4}+(\zeta_{10}+\zeta_{10}^{4}+\cdots)q^{5}+\cdots\)