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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1631.1.v.a	$1631$	$1$	1631.v	1631.v	$116$	$56$	$1$	$0.814$	\(\Q(\zeta_{116})\)	$D_{116}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(4\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{116}^{4}-\zeta_{116}^{44})q^{2}+(\zeta_{116}^{8}-\zeta_{116}^{30}+\cdots)q^{4}+\cdots\)
1864.1.y.a	$1864$	$1$	1864.y	1864.y	$116$	$56$	$1$	$0.930$	\(\Q(\zeta_{116})\)	$D_{116}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(2\)	\(2\)	\(0\)	\(0\)	$1$		\(q-\zeta_{116}^{48}q^{2}+(\zeta_{116}^{18}-\zeta_{116}^{51})q^{3}+\cdots\)
3141.1.bn.a	$3141$	$1$	3141.bn	349.j	$116$	$56$	$1$	$1.568$	\(\Q(\zeta_{116})\)	$D_{116}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q-\zeta_{116}^{25}q^{4}+(\zeta_{116}^{2}+\zeta_{116}^{49})q^{7}+\cdots\)
3245.1.bg.a	$3245$	$1$	3245.bg	3245.ag	$116$	$56$	$1$	$1.619$	\(\Q(\zeta_{116})\)	$D_{116}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{116}^{3}-\zeta_{116}^{18})q^{3}-\zeta_{116}q^{4}-\zeta_{116}^{13}q^{5}+\cdots\)
3245.1.bg.b	$3245$	$1$	3245.bg	3245.ag	$116$	$56$	$1$	$1.619$	\(\Q(\zeta_{116})\)	$D_{116}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{116}^{32}+\zeta_{116}^{47})q^{3}-\zeta_{116}q^{4}+\zeta_{116}^{51}q^{5}+\cdots\)
3495.1.bk.a	$3495$	$1$	3495.bk	3495.ak	$116$	$112$	$2$	$1.744$	\(\Q(\zeta_{232})\)	$D_{116}$	\(\Q(\sqrt{-15}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{232}^{11}-\zeta_{232}^{45})q^{2}+\zeta_{232}^{89}q^{3}+\cdots\)
3716.1.q.a	$3716$	$1$	3716.q	3716.q	$116$	$56$	$1$	$1.855$	\(\Q(\zeta_{116})\)	$D_{116}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{116}^{17}q^{2}+\zeta_{116}^{34}q^{4}+(\zeta_{116}^{15}+\cdots)q^{5}+\cdots\)
3728.1.bp.a	$3728$	$1$	3728.bp	932.m	$116$	$56$	$1$	$1.861$	\(\Q(\zeta_{116})\)	$D_{116}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+(\zeta_{116}^{22}+\zeta_{116}^{57})q^{5}-\zeta_{116}^{17}q^{9}+\cdots\)