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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	7	23
483.2.a.c	$483$	$2$	483.a	1.a	$1$	$2$	$2$	$3.857$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-3\)	\(2\)	\(-5\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+q^{3}+3\beta q^{4}+(-2+\cdots)q^{5}+\cdots\)
483.2.a.d	$483$	$2$	483.a	1.a	$1$	$2$	$2$	$3.857$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(1\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(1-\beta )q^{5}+\cdots\)
483.2.a.f	$483$	$2$	483.a	1.a	$1$	$2$	$2$	$3.857$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-1\)	\(2\)	\(-5\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+q^{3}+(1+\beta )q^{4}+(-3+\beta )q^{5}+\cdots\)
483.2.a.g	$483$	$2$	483.a	1.a	$1$	$2$	$2$	$3.857$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(1\)	\(-2\)	\(-3\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(-1-\beta )q^{5}+\cdots\)