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Results (5 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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	7	23
322.4.a.a	$322$	$4$	322.a	1.a	$1$	$2$	$2$	$18.999$	\(\Q(\sqrt{2}) \)	None	✓	✓			322.4.a.a	$1$	$0$	\(-4\)	\(-4\)	\(16\)	\(14\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+(-2+3\beta )q^{3}+4q^{4}+(8-3\beta )q^{5}+\cdots\)
322.4.a.b	$322$	$4$	322.a	1.a	$1$	$2$	$2$	$18.999$	\(\Q(\sqrt{73}) \)	None	✓	✓			322.4.a.b	$1$	$0$	\(-4\)	\(9\)	\(-8\)	\(14\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+(5-\beta )q^{3}+4q^{4}+(-2-4\beta )q^{5}+\cdots\)
322.4.a.d	$322$	$4$	322.a	1.a	$1$	$3$	$3$	$18.999$	3.3.15384.1	None	✓	✓	✓	✓	322.4.a.d	$1$	$0$	\(-6\)	\(-3\)	\(8\)	\(-21\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+(-1+\beta _{1})q^{3}+4q^{4}+(3+2\beta _{1}+\cdots)q^{5}+\cdots\)
322.4.a.h	$322$	$4$	322.a	1.a	$1$	$5$	$5$	$18.999$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	✓	✓	✓	322.4.a.h	$1$	$0$	\(10\)	\(5\)	\(22\)	\(-35\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+2q^{2}+(1-\beta _{1})q^{3}+4q^{4}+(4-\beta _{1}+\cdots)q^{5}+\cdots\)
322.4.a.i	$322$	$4$	322.a	1.a	$1$	$6$	$6$	$18.999$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	✓	✓	✓	322.4.a.i	$1$	$0$	\(12\)	\(13\)	\(12\)	\(42\)		$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+2q^{2}+(2+\beta _{1})q^{3}+4q^{4}+(2-\beta _{1}+\cdots)q^{5}+\cdots\)

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