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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
599.1.b.a	$599$	$1$	599.b	599.b	$2$	$2$	$2$	$0.299$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-599}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(4\)	\(0\)	$1$		\(q+(-1+\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
599.1.b.b	$599$	$1$	599.b	599.b	$2$	$10$	$10$	$0.299$	\(\Q(\zeta_{50})^+\)	$D_{25}$	\(\Q(\sqrt{-599}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-5\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+\beta _{6}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
2995.1.c.a	$2995$	$1$	2995.c	2995.c	$2$	$1$	$1$	$1.495$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-599}) \), \(\Q(\sqrt{-2995}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{4}+q^{5}+q^{9}+q^{16}-2q^{19}+q^{20}+\cdots\)
2995.1.c.c	$2995$	$1$	2995.c	2995.c	$2$	$4$	$4$	$1.495$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-599}) \)	None		$4$	$0$	\(0\)	\(0\)	\(4\)	\(0\)	$2^{2}$		\(q+(\zeta_{10}+\zeta_{10}^{4})q^{2}+(-\zeta_{10}-\zeta_{10}^{4}+\cdots)q^{3}+\cdots\)
2995.1.c.d	$2995$	$1$	2995.c	2995.c	$2$	$20$	$20$	$1.495$	\(\Q(\zeta_{50})\)	$D_{50}$	\(\Q(\sqrt{-599}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-5\)	\(0\)	$1$		\(q+(\zeta_{50}^{3}+\zeta_{50}^{22})q^{2}+(\zeta_{50}^{7}+\zeta_{50}^{18}+\cdots)q^{3}+\cdots\)
599.3.b.a	$599$	$3$	599.b	599.b	$2$	$25$	$25$	$16.322$		$_{}$	\(\Q(\sqrt{-599}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{U}(1)[D_{2}]$