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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				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3013.1.f.a	$3013$	$1$	3013.f	3013.f	$10$	$4$	$1$	$1.504$	\(\Q(\zeta_{10})\)	$D_{5}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(3\)	\(3\)	\(0\)	\(0\)		$1$		\(q+(1+\zeta_{10}^{4})q^{2}+(1-\zeta_{10}^{3})q^{3}+(1+\cdots)q^{4}+\cdots\)
3013.1.f.b	$3013$	$1$	3013.f	3013.f	$10$	$8$	$2$	$1.504$	\(\Q(\zeta_{15})\)	$D_{15}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(-3\)	\(-3\)	\(0\)	\(0\)		$1$		\(q+(\zeta_{30}^{2}+\zeta_{30}^{10})q^{2}+(\zeta_{30}^{10}+\zeta_{30}^{14}+\cdots)q^{3}+\cdots\)
3013.1.n.a	$3013$	$1$	3013.n	3013.n	$26$	$12$	$1$	$1.504$	\(\Q(\zeta_{26})\)	$D_{13}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(-2\)	\(-2\)	\(0\)	\(0\)		$1$		\(q+(-\zeta_{26}-\zeta_{26}^{7})q^{2}+(\zeta_{26}^{8}-\zeta_{26}^{9}+\cdots)q^{3}+\cdots\)
3013.1.n.b	$3013$	$1$	3013.n	3013.n	$26$	$24$	$2$	$1.504$	\(\Q(\zeta_{39})\)	$D_{39}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(2\)	\(2\)	\(0\)	\(0\)		$1$		\(q+(-\zeta_{78}^{5}+\zeta_{78}^{10})q^{2}+(\zeta_{78}^{28}+\zeta_{78}^{38}+\cdots)q^{3}+\cdots\)
3013.1.x.a	$3013$	$1$	3013.x	3013.x	$130$	$48$	$1$	$1.504$	\(\Q(\zeta_{65})\)	$D_{65}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(-3\)	\(-3\)	\(0\)	\(0\)		$1$		\(q+(\zeta_{130}^{14}+\zeta_{130}^{20})q^{2}+(\zeta_{130}^{8}-\zeta_{130}^{35}+\cdots)q^{3}+\cdots\)
3013.1.x.b	$3013$	$1$	3013.x	3013.x	$130$	$96$	$2$	$1.504$	\(\Q(\zeta_{390})\)	$D_{195}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(3\)	\(3\)	\(0\)	\(0\)		$1$		\(q+(\zeta_{390}^{160}+\zeta_{390}^{164})q^{2}+(\zeta_{390}^{38}-\zeta_{390}^{85}+\cdots)q^{3}+\cdots\)
3013.2.a.a	$3013$	$2$	3013.a	1.a	$1$	$51$	$51$	$24.059$		$_{}$	None	None	✓	$1$	$1$	\(-14\)	\(-20\)	\(-7\)	\(-5\)	$+$		$\mathrm{SU}(2)$
3013.2.a.b	$3013$	$2$	3013.a	1.a	$1$	$58$	$58$	$24.059$		$_{}$	None	None	✓	$1$	$0$	\(13\)	\(16\)	\(9\)	\(7\)	$-$		$\mathrm{SU}(2)$
3013.2.a.c	$3013$	$2$	3013.a	1.a	$1$	$60$	$60$	$24.059$		$_{}$	None	None	✓	$1$	$1$	\(-12\)	\(-18\)	\(-13\)	\(-13\)	$+$		$\mathrm{SU}(2)$
3013.2.a.d	$3013$	$2$	3013.a	1.a	$1$	$68$	$68$	$24.059$		$_{}$	None	None	✓	$1$	$0$	\(14\)	\(22\)	\(9\)	\(7\)	$-$		$\mathrm{SU}(2)$