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Results (12 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
643.1.b.a	$643$	$1$	643.b	643.b	$2$	$1$	$1$	$0.321$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-643}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)		$1$		\(q+q^{4}-q^{7}+q^{9}+q^{16}-q^{23}+q^{25}+\cdots\)
643.1.b.b	$643$	$1$	643.b	643.b	$2$	$2$	$2$	$0.321$	\(\Q(\sqrt{-2}) \)	$S_{4}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$1$		\(q-\beta q^{2}-\beta q^{3}-q^{4}-2q^{6}+q^{7}-q^{9}+\cdots\)
643.2.a.a	$643$	$2$	643.a	1.a	$1$	$1$	$1$	$5.134$	\(\Q\)	$_{}$	None	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(-2\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}-q^{4}-2q^{5}+2q^{6}-3q^{7}+\cdots\)
643.2.a.b	$643$	$2$	643.a	1.a	$1$	$24$	$24$	$5.134$		$_{}$	None	None	✓	$1$	$1$	\(-13\)	\(-7\)	\(-23\)	\(-10\)	$+$		$\mathrm{SU}(2)$
643.2.a.c	$643$	$2$	643.a	1.a	$1$	$28$	$28$	$5.134$		$_{}$	None	None	✓	$1$	$0$	\(14\)	\(5\)	\(23\)	\(11\)	$-$		$\mathrm{SU}(2)$
643.2.c.a	$643$	$2$	643.c	643.c	$3$	$106$	$53$	$5.134$		$_{}$	None	None		$2$	$0$	\(-6\)	\(-8\)	\(-4\)	\(-1\)			$\mathrm{SU}(2)[C_{3}]$
643.2.e.a	$643$	$2$	643.e	643.e	$107$	$5512$	$52$	$5.134$		$_{}$	None	None		$2$	$0$	\(-104\)	\(-99\)	\(-99\)	\(-97\)			$\mathrm{SU}(2)[C_{107}]$
643.2.g.a	$643$	$2$	643.g	643.g	$321$	$11236$	$53$	$5.134$		$_{}$	None	None		$2$	$0$	\(-208\)	\(-206\)	\(-210\)	\(-213\)			$\mathrm{SU}(2)[C_{321}]$
643.4.a.a	$643$	$4$	643.a	1.a	$1$	$77$	$77$	$37.938$		$_{}$	None	None	✓	$1$	$1$	\(-29\)	\(-21\)	\(-121\)	\(-104\)	$-$		$\mathrm{SU}(2)$
643.4.a.b	$643$	$4$	643.a	1.a	$1$	$83$	$83$	$37.938$		$_{}$	None	None	✓	$1$	$0$	\(29\)	\(21\)	\(129\)	\(78\)	$+$		$\mathrm{SU}(2)$
643.6.a.a	$643$	$6$	643.a	1.a	$1$	$131$	$131$	$103.127$		$_{}$	None	None	✓	$1$	$1$	\(-61\)	\(-63\)	\(-633\)	\(-626\)	$+$		$\mathrm{SU}(2)$
643.6.a.b	$643$	$6$	643.a	1.a	$1$	$137$	$137$	$103.127$		$_{}$	None	None	✓	$1$	$0$	\(55\)	\(63\)	\(617\)	\(648\)	$-$		$\mathrm{SU}(2)$