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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				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1931.1.b.a	$1931$	$1$	1931.b	1931.b	$2$	$1$	$1$	$0.964$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1931}) \)	None	✓	$2$	$0$	\(0\)	\(2\)	\(-1\)	\(-1\)		$1$		\(q+2q^{3}+q^{4}-q^{5}-q^{7}+3q^{9}-q^{11}+\cdots\)
1931.1.b.b	$1931$	$1$	1931.b	1931.b	$2$	$2$	$2$	$0.964$	\(\Q(\sqrt{-2}) \)	$S_{4}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-2\)	\(2\)		$1$		\(q-\beta q^{2}-q^{4}-q^{5}+q^{7}-q^{9}+\beta q^{10}+\cdots\)
1931.1.b.c	$1931$	$1$	1931.b	1931.b	$2$	$3$	$3$	$0.964$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-1931}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(-1\)		$1$		\(q-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
1931.1.b.d	$1931$	$1$	1931.b	1931.b	$2$	$6$	$6$	$0.964$	\(\Q(\zeta_{21})^+\)	$D_{21}$	\(\Q(\sqrt{-1931}) \)	None	✓	$2$	$0$	\(0\)	\(-2\)	\(1\)	\(1\)		$1$		\(q+\beta _{3}q^{3}+q^{4}+\beta _{4}q^{5}+(-\beta _{2}+\beta _{5})q^{7}+\cdots\)
1931.2.a.a	$1931$	$2$	1931.a	1.a	$1$	$60$	$60$	$15.419$		$_{}$	None	None	✓	$1$	$1$	\(-5\)	\(-9\)	\(-21\)	\(-18\)	$+$		$\mathrm{SU}(2)$
1931.2.a.b	$1931$	$2$	1931.a	1.a	$1$	$101$	$101$	$15.419$		$_{}$	None	None	✓	$1$	$0$	\(5\)	\(9\)	\(25\)	\(20\)	$-$		$\mathrm{SU}(2)$
1931.4.a.a	$1931$	$4$	1931.a	1.a	$1$	$220$	$220$	$113.933$		$_{}$	None	None	✓	$1$	$1$	\(-13\)	\(-35\)	\(-131\)	\(-156\)	$-$		$\mathrm{SU}(2)$
1931.4.a.b	$1931$	$4$	1931.a	1.a	$1$	$262$	$262$	$113.933$		$_{}$	None	None	✓	$1$	$0$	\(13\)	\(31\)	\(129\)	\(166\)	$+$		$\mathrm{SU}(2)$