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Results (13 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	251
4016.2.a.a	$4016$	$2$	4016.a	1.a	$1$	$2$	$2$	$32.068$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(5\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(2+\beta )q^{5}+q^{7}-2q^{9}-3q^{11}+\cdots\)
4016.2.a.b	$4016$	$2$	4016.a	1.a	$1$	$2$	$2$	$32.068$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(-3\)	\(4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-2+\beta )q^{5}+(1+2\beta )q^{7}-2q^{9}+\cdots\)
4016.2.a.c	$4016$	$2$	4016.a	1.a	$1$	$4$	$4$	$32.068$	4.4.725.1	None	✓	$1$	$1$	\(0\)	\(2\)	\(-3\)	\(3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(-1+\beta _{1}+\beta _{2}-\beta _{3})q^{5}+\cdots\)
4016.2.a.d	$4016$	$2$	4016.a	1.a	$1$	$5$	$5$	$32.068$	5.5.138917.1	None	✓	$1$	$0$	\(0\)	\(-2\)	\(7\)	\(-1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{4}q^{3}+(2+\beta _{1}+\beta _{2}-\beta _{3})q^{5}+(\beta _{2}+\cdots)q^{7}+\cdots\)
4016.2.a.e	$4016$	$2$	4016.a	1.a	$1$	$5$	$5$	$32.068$	5.5.242773.1	None	✓	$1$	$1$	\(0\)	\(1\)	\(-6\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1+\beta _{2})q^{5}+(1-2\beta _{1}+\cdots)q^{7}+\cdots\)
4016.2.a.f	$4016$	$2$	4016.a	1.a	$1$	$6$	$6$	$32.068$	6.6.60853001.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-1\)	\(-6\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{4}q^{3}+(-1+\beta _{1}-\beta _{3})q^{5}+(-1+\cdots)q^{7}+\cdots\)
4016.2.a.g	$4016$	$2$	4016.a	1.a	$1$	$7$	$7$	$32.068$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(-2\)	\(6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{5}q^{5}+(1+\beta _{6})q^{7}+(-1+\cdots)q^{9}+\cdots\)
4016.2.a.h	$4016$	$2$	4016.a	1.a	$1$	$9$	$9$	$32.068$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-5\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1-\beta _{5})q^{5}+(-\beta _{6}+\beta _{7}+\cdots)q^{7}+\cdots\)
4016.2.a.i	$4016$	$2$	4016.a	1.a	$1$	$12$	$12$	$32.068$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(5\)	\(-5\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{8}q^{5}-\beta _{5}q^{7}+(\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
4016.2.a.j	$4016$	$2$	4016.a	1.a	$1$	$14$	$14$	$32.068$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-2\)	\(-8\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{4}q^{5}+(-1+\beta _{9})q^{7}+(1+\cdots)q^{9}+\cdots\)
4016.2.a.k	$4016$	$2$	4016.a	1.a	$1$	$17$	$17$	$32.068$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(-3\)		$-$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{4}q^{3}+\beta _{6}q^{5}+\beta _{13}q^{7}+(1+\beta _{3}+\cdots)q^{9}+\cdots\)
4016.2.a.l	$4016$	$2$	4016.a	1.a	$1$	$19$	$19$	$32.068$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(6\)	\(-8\)	\(11\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{4}q^{5}+(1+\beta _{13})q^{7}+(1+\cdots)q^{9}+\cdots\)
4016.2.a.m	$4016$	$2$	4016.a	1.a	$1$	$23$	$23$	$32.068$		None	✓	$1$	$0$	\(0\)	\(-2\)	\(8\)	\(-2\)		$+$	$-$	$-$		$\mathrm{SU}(2)$