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Results (10 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3736.1.e.a	$3736$	$1$	3736.e	3736.e	$2$	$6$	$6$	$1.865$	\(\Q(\zeta_{26})^+\)	$D_{13}$	\(\Q(\sqrt{-934}) \)	None	✓	✓	3736.1.e.a	$2$	$0$	\(-6\)	\(0\)	\(1\)	\(-1\)		$1$		\(q-q^{2}+q^{4}+\beta _{3}q^{5}+\beta _{2}q^{7}-q^{8}+\cdots\)
3736.1.e.b	$3736$	$1$	3736.e	3736.e	$2$	$6$	$6$	$1.865$	\(\Q(\zeta_{26})^+\)	$D_{13}$	\(\Q(\sqrt{-934}) \)	None	✓	✓	3736.1.e.a	$2$	$0$	\(6\)	\(0\)	\(-1\)	\(-1\)		$1$		\(q+q^{2}+q^{4}-\beta _{3}q^{5}+\beta _{2}q^{7}+q^{8}+\cdots\)
3736.1.g.a	$3736$	$1$	3736.g	467.b	$2$	$2$	$2$	$1.865$	\(\Q(\sqrt{-2}) \)	$S_{4}$	None	None		✓	3736.1.g.a	$2$	$0$	\(0\)	\(-2\)	\(0\)	\(2\)		$1$		\(q-q^{3}-\beta q^{5}+q^{7}-\beta q^{11}+2q^{13}+\cdots\)
3736.1.l.a	$3736$	$1$	3736.l	3736.l	$466$	$232$	$1$	$1.865$	\(\Q(\zeta_{466})\)	$D_{233}$	\(\Q(\sqrt{-2}) \)	None		✓	3736.1.l.a	$4$	$0$	\(-1\)	\(-2\)	\(0\)	\(0\)		$1$		\(q-\zeta_{466}^{229}q^{2}+(\zeta_{466}^{180}-\zeta_{466}^{181})q^{3}+\cdots\)
3736.2.a.a	$3736$	$2$	3736.a	1.a	$1$	$1$	$1$	$29.832$	\(\Q\)	$_{}$	None	None	✓	✓	3736.2.a.a	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{7}-2q^{9}-6q^{11}+2q^{13}+\cdots\)
3736.2.a.b	$3736$	$2$	3736.a	1.a	$1$	$4$	$4$	$29.832$	4.4.2777.1	$_{}$	None	None	✓	✓	3736.2.a.b	$1$	$1$	\(0\)	\(2\)	\(7\)	\(-7\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{3}+(2+\beta _{1}-\beta _{3})q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots\)
3736.2.a.c	$3736$	$2$	3736.a	1.a	$1$	$20$	$20$	$29.832$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	None	None	✓	✓	3736.2.a.c	$1$	$1$	\(0\)	\(1\)	\(-8\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{6}q^{5}+\beta _{12}q^{7}+\beta _{2}q^{9}+\cdots\)
3736.2.a.d	$3736$	$2$	3736.a	1.a	$1$	$27$	$27$	$29.832$		$_{}$	None	None	✓	✓	3736.2.a.d	$1$	$1$	\(0\)	\(-9\)	\(-17\)	\(-5\)	$+$		$\mathrm{SU}(2)$
3736.2.a.e	$3736$	$2$	3736.a	1.a	$1$	$27$	$27$	$29.832$		$_{}$	None	None	✓	✓	3736.2.a.e	$1$	$0$	\(0\)	\(6\)	\(7\)	\(10\)	$-$		$\mathrm{SU}(2)$
3736.2.a.f	$3736$	$2$	3736.a	1.a	$1$	$38$	$38$	$29.832$		$_{}$	None	None	✓	✓	3736.2.a.f	$1$	$0$	\(0\)	\(-1\)	\(9\)	\(-5\)	$-$		$\mathrm{SU}(2)$