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

Results (9 matches)

 

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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	17
459.2.a.b	$459$	$2$	459.a	1.a	$1$	$1$	$1$	$3.665$	\(\Q\)	None	✓	✓			459.2.a.b	$1$	$0$	\(-2\)	\(0\)	\(2\)	\(4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+2q^{5}+4q^{7}-4q^{10}+\cdots\)
459.2.a.d	$459$	$2$	459.a	1.a	$1$	$1$	$1$	$3.665$	\(\Q\)	None	✓	✓			459.2.a.d	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-3q^{5}+2q^{7}+3q^{11}+2q^{13}+\cdots\)
459.2.a.e	$459$	$2$	459.a	1.a	$1$	$1$	$1$	$3.665$	\(\Q\)	None	✓	✓			459.2.a.d	$1$	$0$	\(0\)	\(0\)	\(3\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+3q^{5}+2q^{7}-3q^{11}+2q^{13}+\cdots\)
459.2.a.g	$459$	$2$	459.a	1.a	$1$	$1$	$1$	$3.665$	\(\Q\)	None	✓	✓			459.2.a.b	$1$	$0$	\(2\)	\(0\)	\(-2\)	\(4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-2q^{5}+4q^{7}-4q^{10}+\cdots\)
459.2.a.h	$459$	$2$	459.a	1.a	$1$	$1$	$1$	$3.665$	\(\Q\)	None	✓	✓			459.2.a.a	$1$	$0$	\(2\)	\(0\)	\(4\)	\(1\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}+4q^{5}+q^{7}+8q^{10}+\cdots\)
459.2.a.i	$459$	$2$	459.a	1.a	$1$	$2$	$2$	$3.665$	\(\Q(\sqrt{5}) \)	None	✓	✓			459.2.a.i	$1$	$0$	\(-1\)	\(0\)	\(3\)	\(-3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-1+\beta )q^{4}+(1+\beta )q^{5}-3\beta q^{7}+\cdots\)
459.2.a.l	$459$	$2$	459.a	1.a	$1$	$2$	$2$	$3.665$	\(\Q(\sqrt{13}) \)	None	✓	✓			459.2.a.j	$1$	$0$	\(1\)	\(0\)	\(5\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1+\beta )q^{4}+(3-\beta )q^{5}+(2-\beta )q^{7}+\cdots\)
459.2.a.m	$459$	$2$	459.a	1.a	$1$	$3$	$3$	$3.665$	3.3.404.1	None	✓	✓	✓		459.2.a.m	$1$	$0$	\(-1\)	\(0\)	\(-3\)	\(-4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+(3+\beta _{1}-\beta _{2})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
459.2.a.n	$459$	$2$	459.a	1.a	$1$	$3$	$3$	$3.665$	3.3.404.1	None	✓	✓	✓		459.2.a.m	$1$	$0$	\(1\)	\(0\)	\(3\)	\(-4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(3+\beta _{1}-\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)