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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		13	103
1339.2.a.a	$1339$	$2$	1339.a	1.a	$1$	$1$	$1$	$10.692$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(1\)	\(4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}+4q^{7}+\cdots\)
1339.2.a.c	$1339$	$2$	1339.a	1.a	$1$	$3$	$3$	$10.692$	3.3.148.1	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-7\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-\beta _{1}-\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
1339.2.a.d	$1339$	$2$	1339.a	1.a	$1$	$19$	$19$	$10.692$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	$1$	$1$	\(-9\)	\(-2\)	\(-18\)	\(-8\)		$-$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{14}q^{3}+(\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
1339.2.a.e	$1339$	$2$	1339.a	1.a	$1$	$21$	$21$	$10.692$		None	✓	$1$	$1$	\(-1\)	\(-6\)	\(-18\)	\(-2\)		$+$	$+$	$+$		$\mathrm{SU}(2)$