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Results (10 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	41
4018.2.a.t	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+\beta q^{5}+q^{6}-q^{8}+\cdots\)
4018.2.a.u	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(-2\)	\(-1\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+\beta q^{5}+\beta q^{6}-q^{8}+\cdots\)
4018.2.a.v	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(-2\)	\(1\)	\(-1\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{5}-\beta q^{6}-q^{8}+\cdots\)
4018.2.a.w	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(2\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}-q^{8}+\cdots\)
4018.2.a.x	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(2\)	\(-4\)	\(-2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-2q^{3}+q^{4}+(-1-\beta )q^{5}-2q^{6}+\cdots\)
4018.2.a.y	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(-2\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1+2\beta )q^{5}+\cdots\)
4018.2.a.z	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(2\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
4018.2.a.ba	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}-2\beta q^{5}+\beta q^{6}+\cdots\)
4018.2.a.bb	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(-2\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1+\beta )q^{3}+q^{4}-q^{5}+(1+\beta )q^{6}+\cdots\)
4018.2.a.bc	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(2\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1+\beta )q^{3}+q^{4}+(1+2\beta )q^{5}+\cdots\)