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Results (10 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
579.1.c.a	$579$	$1$	579.c	579.c	$2$	$1$	$1$	$0.289$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-579}) \)	\(\Q(\sqrt{193}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(-2\)	$1$		\(q+q^{3}+q^{4}-2q^{7}+q^{9}+q^{12}+q^{16}+\cdots\)
579.1.c.b	$579$	$1$	579.c	579.c	$2$	$2$	$2$	$0.289$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-579}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}-\beta q^{5}+q^{9}+\beta q^{11}-q^{12}+\cdots\)
2316.1.h.a	$2316$	$1$	2316.h	579.c	$2$	$1$	$1$	$1.156$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-579}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-2\)	\(-1\)	$1$		\(q+q^{3}-2q^{5}-q^{7}+q^{9}+q^{11}-2q^{15}+\cdots\)
2316.1.h.b	$2316$	$1$	2316.h	579.c	$2$	$1$	$1$	$1.156$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-579}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(2\)	\(-1\)	$1$		\(q+q^{3}+2q^{5}-q^{7}+q^{9}-q^{11}+2q^{15}+\cdots\)
2316.1.h.c	$2316$	$1$	2316.h	579.c	$2$	$2$	$2$	$1.156$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-579}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(2\)	$1$		\(q+q^{3}+q^{7}+q^{9}-\beta q^{11}+\beta q^{17}+\cdots\)
2316.1.h.d	$2316$	$1$	2316.h	579.c	$2$	$4$	$4$	$1.156$	\(\Q(\zeta_{24})^+\)	$D_{12}$	\(\Q(\sqrt{-579}) \)	None	✓	$4$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)	$1$		\(q-q^{3}+(-\beta _{1}-\beta _{3})q^{5}-\beta _{2}q^{7}+q^{9}+\cdots\)
2895.1.g.i	$2895$	$1$	2895.g	2895.g	$2$	$8$	$8$	$1.445$	\(\Q(\zeta_{16})\)	$D_{8}$	\(\Q(\sqrt{-579}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{16}^{4}q^{3}-q^{4}-\zeta_{16}q^{5}+(-\zeta_{16}^{2}+\cdots)q^{7}+\cdots\)
1737.2.d.d	$1737$	$2$	1737.d	193.b	$2$	$8$	$8$	$13.870$	8.0.\(\cdots\).4	$_{}$	\(\Q(\sqrt{-579}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{6}$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{4}+\beta _{2}q^{5}+\beta _{1}q^{7}-\beta _{3}q^{11}+\cdots\)
6948.2.d.i	$6948$	$2$	6948.d	193.b	$2$	$8$	$8$	$55.480$	8.0.\(\cdots\).4	$_{}$	\(\Q(\sqrt{-579}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{4}$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{2}q^{5}-\beta _{5}q^{7}-\beta _{4}q^{11}+(-\beta _{1}+\cdots)q^{17}+\cdots\)
6948.2.d.j	$6948$	$2$	6948.d	193.b	$2$	$8$	$8$	$55.480$	8.0.\(\cdots\).4	$_{}$	\(\Q(\sqrt{-579}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{4}$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{2}q^{5}+\beta _{3}q^{7}-\beta _{5}q^{11}+(-\beta _{1}+\cdots)q^{17}+\cdots\)