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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	167
1503.2.a.b	$1503$	$2$	1503.a	1.a	$1$	$2$	$2$	$12.002$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(1\)	\(0\)	\(2\)	\(-5\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(-1+\beta )q^{4}+q^{5}+(-2-\beta )q^{7}+\cdots\)
1503.2.a.c	$1503$	$2$	1503.a	1.a	$1$	$5$	$5$	$12.002$	5.5.38569.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(\beta _{2}+\beta _{3})q^{4}+(-\beta _{1}-\beta _{4})q^{5}+\cdots\)
1503.2.a.e	$1503$	$2$	1503.a	1.a	$1$	$8$	$8$	$12.002$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-7\)	\(-4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{3}+\beta _{5}+\beta _{7})q^{4}+(-1+\cdots)q^{5}+\cdots\)
1503.2.a.h	$1503$	$2$	1503.a	1.a	$1$	$14$	$14$	$12.002$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(-6\)	\(0\)	\(-12\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(-1-\beta _{11}+\cdots)q^{5}+\cdots\)