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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Results (4 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		17	59
1003.2.a.a	$1003$	$2$	1003.a	1.a	$1$	$1$	$1$	$8.009$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(3\)	\(1\)	\(1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+3q^{3}-q^{4}+q^{5}-3q^{6}+q^{7}+\cdots\)
1003.2.a.c	$1003$	$2$	1003.a	1.a	$1$	$1$	$1$	$8.009$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(1\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}+3q^{7}+\cdots\)
1003.2.a.i	$1003$	$2$	1003.a	1.a	$1$	$18$	$18$	$8.009$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(5\)	\(1\)	\(21\)	\(-1\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{10}q^{3}+(1+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
1003.2.a.j	$1003$	$2$	1003.a	1.a	$1$	$22$	$22$	$8.009$		None	✓	$1$	$0$	\(5\)	\(7\)	\(19\)	\(3\)		$+$	$-$	$-$		$\mathrm{SU}(2)$