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Results (5 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5	13	31
4030.2.a.c	$4030$	$2$	4030.a	1.a	$1$	$6$	$6$	$32.180$	6.6.3081125.1	None	✓	$1$	$1$	\(-6\)	\(-1\)	\(-6\)	\(4\)		$+$	$+$	$-$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{3}q^{3}+q^{4}-q^{5}+\beta _{3}q^{6}+\cdots\)
4030.2.a.d	$4030$	$2$	4030.a	1.a	$1$	$6$	$6$	$32.180$	6.6.3728437.1	None	✓	$1$	$1$	\(-6\)	\(-1\)	\(6\)	\(-2\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{3}q^{3}+q^{4}+q^{5}-\beta _{3}q^{6}+\cdots\)
4030.2.a.e	$4030$	$2$	4030.a	1.a	$1$	$6$	$6$	$32.180$	6.6.6550837.1	None	✓	$1$	$1$	\(6\)	\(-7\)	\(6\)	\(-8\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1-\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
4030.2.a.f	$4030$	$2$	4030.a	1.a	$1$	$6$	$6$	$32.180$	6.6.4418197.1	None	✓	$1$	$1$	\(6\)	\(-3\)	\(-6\)	\(-2\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta _{1}+\beta _{3})q^{3}+q^{4}-q^{5}+\cdots\)
4030.2.a.g	$4030$	$2$	4030.a	1.a	$1$	$6$	$6$	$32.180$	6.6.10369693.1	None	✓	$1$	$1$	\(6\)	\(-3\)	\(6\)	\(-10\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)