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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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		13
169.10.a.a	$169$	$10$	169.a	1.a	$1$	$4$	$4$	$87.041$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓				13.10.a.a	$1$	$1$	\(33\)	\(-163\)	\(-471\)	\(11241\)		$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(8+\beta _{1})q^{2}+(-41+2\beta _{1}-\beta _{3})q^{3}+\cdots\)
169.10.a.b	$169$	$10$	169.a	1.a	$1$	$5$	$5$	$87.041$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓				13.10.a.b	$1$	$1$	\(-15\)	\(161\)	\(-1803\)	\(-10099\)		$+$	$+$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-3-\beta _{1})q^{2}+(2^{5}+2\beta _{1}-\beta _{2})q^{3}+\cdots\)
169.10.a.c	$169$	$10$	169.a	1.a	$1$	$9$	$9$	$87.041$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓				13.10.c.a	$1$	$1$	\(-15\)	\(-161\)	\(-1140\)	\(1939\)		$+$	$+$	$2^{8}\cdot 3\cdot 13^{2}$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1})q^{2}+(-18+\beta _{3})q^{3}+(200+\cdots)q^{4}+\cdots\)
169.10.a.d	$169$	$10$	169.a	1.a	$1$	$9$	$9$	$87.041$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓				13.10.c.a	$1$	$1$	\(15\)	\(-161\)	\(1140\)	\(-1939\)		$+$	$+$	$2^{8}\cdot 3\cdot 13^{2}$	$\mathrm{SU}(2)$	\(q+(2-\beta _{1})q^{2}+(-18+\beta _{3})q^{3}+(200+\cdots)q^{4}+\cdots\)
169.10.a.g	$169$	$10$	169.a	1.a	$1$	$27$	$27$	$87.041$		None	✓	✓	✓		169.10.a.g	$1$	$1$	\(-65\)	\(1\)	\(-3238\)	\(-17378\)		$+$	$+$		$\mathrm{SU}(2)$

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