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Results (12 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
4012.2.a.a	$4012$	$2$	4012.a	1.a	$1$	$1$	$1$	$32.036$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-3\)	\(-3\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-3q^{5}-q^{7}+6q^{9}-2q^{11}+\cdots\)
4012.2.a.b	$4012$	$2$	4012.a	1.a	$1$	$1$	$1$	$32.036$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-1\)	\(-5\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-q^{5}-5q^{7}+6q^{9}-2q^{11}+\cdots\)
4012.2.a.c	$4012$	$2$	4012.a	1.a	$1$	$1$	$1$	$32.036$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-3\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}+q^{7}-2q^{9}+2q^{11}+\cdots\)
4012.2.a.d	$4012$	$2$	4012.a	1.a	$1$	$2$	$2$	$32.036$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(3\)	\(-6\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2\beta q^{3}+(2-\beta )q^{5}-3q^{7}+(1+4\beta )q^{9}+\cdots\)
4012.2.a.e	$4012$	$2$	4012.a	1.a	$1$	$2$	$2$	$32.036$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{3}-q^{5}+\beta q^{7}+2q^{9}-2\beta q^{11}+\cdots\)
4012.2.a.f	$4012$	$2$	4012.a	1.a	$1$	$3$	$3$	$32.036$	3.3.321.1	None	✓	$1$	$1$	\(0\)	\(-3\)	\(1\)	\(3\)	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{3}-\beta _{1}q^{5}+q^{7}-2q^{9}-2q^{11}+\cdots\)
4012.2.a.g	$4012$	$2$	4012.a	1.a	$1$	$12$	$12$	$32.036$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(3\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{9}q^{5}+(-\beta _{2}+\beta _{8}-\beta _{9}+\cdots)q^{7}+\cdots\)
4012.2.a.h	$4012$	$2$	4012.a	1.a	$1$	$15$	$15$	$32.036$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(1\)	\(-11\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{5}q^{3}-\beta _{8}q^{5}+(-1-\beta _{9})q^{7}+(1+\cdots)q^{9}+\cdots\)
4012.2.a.i	$4012$	$2$	4012.a	1.a	$1$	$18$	$18$	$32.036$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(8\)	\(4\)	\(2\)	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{9}q^{5}-\beta _{8}q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
4012.2.a.j	$4012$	$2$	4012.a	1.a	$1$	$21$	$21$	$32.036$		None	✓	$1$	$0$	\(0\)	\(9\)	\(1\)	\(11\)	$-$		$\mathrm{SU}(2)$
4012.2.b.a	$4012$	$2$	4012.b	17.b	$2$	$40$	$40$	$32.036$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
4012.2.b.b	$4012$	$2$	4012.b	17.b	$2$	$46$	$46$	$32.036$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$