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Results (9 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3017.1.k.a	$3017$	$1$	3017.k	3017.k	$10$	$4$	$1$	$1.506$	\(\Q(\zeta_{10})\)	$D_{5}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-1\)		$1$		\(q+(\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(1-\zeta_{10}+\zeta_{10}^{4}+\cdots)q^{4}+\cdots\)
3017.1.t.a	$3017$	$1$	3017.t	3017.t	$86$	$42$	$1$	$1.506$	\(\Q(\zeta_{86})\)	$D_{43}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-1\)		$1$		\(q+(-\zeta_{86}^{5}+\zeta_{86}^{22})q^{2}+(-\zeta_{86}+\zeta_{86}^{10}+\cdots)q^{4}+\cdots\)
3017.1.ba.a	$3017$	$1$	3017.ba	3017.aa	$430$	$168$	$1$	$1.506$	\(\Q(\zeta_{215})\)	$D_{215}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(2\)	\(0\)	\(0\)	\(1\)		$1$		\(q+(\zeta_{430}^{26}-\zeta_{430}^{209})q^{2}+(\zeta_{430}^{20}+\zeta_{430}^{52}+\cdots)q^{4}+\cdots\)
3017.2.a.a	$3017$	$2$	3017.a	1.a	$1$	$1$	$1$	$24.091$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(-1\)	\(1\)	\(2\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}+2q^{5}-q^{6}+q^{7}+\cdots\)
3017.2.a.b	$3017$	$2$	3017.a	1.a	$1$	$1$	$1$	$24.091$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(1\)	\(1\)	\(-1\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
3017.2.a.c	$3017$	$2$	3017.a	1.a	$1$	$37$	$37$	$24.091$		$_{}$	None	None	✓	$1$	$1$	\(-4\)	\(-9\)	\(-7\)	\(37\)	$+$		$\mathrm{SU}(2)$
3017.2.a.d	$3017$	$2$	3017.a	1.a	$1$	$48$	$48$	$24.091$		$_{}$	None	None	✓	$1$	$0$	\(1\)	\(7\)	\(6\)	\(-48\)	$-$		$\mathrm{SU}(2)$
3017.2.a.e	$3017$	$2$	3017.a	1.a	$1$	$58$	$58$	$24.091$		$_{}$	None	None	✓	$1$	$1$	\(-4\)	\(-12\)	\(-9\)	\(-58\)	$+$		$\mathrm{SU}(2)$
3017.2.a.f	$3017$	$2$	3017.a	1.a	$1$	$70$	$70$	$24.091$		$_{}$	None	None	✓	$1$	$0$	\(6\)	\(8\)	\(3\)	\(70\)	$-$		$\mathrm{SU}(2)$