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Results (6 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7
1323.2.a.g	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	None	✓				189.2.e.a	$1$	$0$	\(-1\)	\(0\)	\(4\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+4q^{5}+3q^{8}-4q^{10}+\cdots\)
1323.2.a.m	$1323$	$2$	1323.a	1.a	$1$	$1$	$1$	$10.564$	\(\Q\)	None	✓				189.2.e.a	$1$	$0$	\(1\)	\(0\)	\(-4\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-4q^{5}-3q^{8}-4q^{10}+\cdots\)
1323.2.a.v	$1323$	$2$	1323.a	1.a	$1$	$2$	$2$	$10.564$	\(\Q(\sqrt{6}) \)	None	✓				189.2.e.d	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+4q^{4}+\beta q^{5}+2\beta q^{8}+6q^{10}+\cdots\)
1323.2.a.ba	$1323$	$2$	1323.a	1.a	$1$	$3$	$3$	$10.564$	3.3.321.1	None	✓				189.2.e.e	$1$	$0$	\(2\)	\(0\)	\(1\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}-\beta _{2}q^{5}+\cdots\)
1323.2.a.bd	$1323$	$2$	1323.a	1.a	$1$	$4$	$4$	$10.564$	4.4.7168.1	None	✓	✓			1323.2.a.bc	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{1}q^{5}+\beta _{3}q^{8}+\cdots\)
1323.2.a.be	$1323$	$2$	1323.a	1.a	$1$	$4$	$4$	$10.564$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	✓			1323.2.a.bb	$2$	$0$	\(0\)	\(0\)	\(8\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{3})q^{4}+(2+\beta _{3})q^{5}+\cdots\)

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