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Results (8 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	7	31
3038.2.a.bb	$3038$	$2$	3038.a	1.a	$1$	$3$	$3$	$24.259$	3.3.257.1	None	✓	$1$	$1$	\(-3\)	\(-1\)	\(1\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{5}+\beta _{1}q^{6}+\cdots\)
3038.2.a.bc	$3038$	$2$	3038.a	1.a	$1$	$3$	$3$	$24.259$	3.3.257.1	None	✓	$1$	$1$	\(-3\)	\(1\)	\(-1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{5}-\beta _{1}q^{6}+\cdots\)
3038.2.a.bd	$3038$	$2$	3038.a	1.a	$1$	$3$	$3$	$24.259$	3.3.568.1	None	✓	$1$	$0$	\(-3\)	\(2\)	\(2\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1+\beta _{2})q^{5}+\cdots\)
3038.2.a.be	$3038$	$2$	3038.a	1.a	$1$	$3$	$3$	$24.259$	3.3.993.1	None	✓	$1$	$0$	\(3\)	\(-1\)	\(-5\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-2+\beta _{1})q^{5}+\cdots\)
3038.2.a.bf	$3038$	$2$	3038.a	1.a	$1$	$3$	$3$	$24.259$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(3\)	\(-1\)	\(1\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{5}-\beta _{1}q^{6}+\cdots\)
3038.2.a.bg	$3038$	$2$	3038.a	1.a	$1$	$3$	$3$	$24.259$	3.3.568.1	None	✓	$1$	$1$	\(3\)	\(-1\)	\(1\)	\(0\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{2}q^{3}+q^{4}-\beta _{2}q^{5}+\beta _{2}q^{6}+\cdots\)
3038.2.a.bh	$3038$	$2$	3038.a	1.a	$1$	$3$	$3$	$24.259$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(3\)	\(1\)	\(-1\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{5}+\beta _{1}q^{6}+\cdots\)
3038.2.a.bi	$3038$	$2$	3038.a	1.a	$1$	$3$	$3$	$24.259$	3.3.993.1	None	✓	$1$	$0$	\(3\)	\(1\)	\(5\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+(2-\beta _{1})q^{5}+\beta _{1}q^{6}+\cdots\)