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Results (11 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Minimal twist	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	1013
6078.2.a.a	$6078$	$2$	6078.a	1.a	$1$	$1$	$1$	$48.533$	\(\Q\)	None	✓	✓	6078.2.a.a	$1$	$1$	\(-1\)	\(1\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
6078.2.a.b	$6078$	$2$	6078.a	1.a	$1$	$1$	$1$	$48.533$	\(\Q\)	None	✓	✓	6078.2.a.b	$1$	$1$	\(1\)	\(-1\)	\(-4\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-4q^{5}-q^{6}-2q^{7}+\cdots\)
6078.2.a.c	$6078$	$2$	6078.a	1.a	$1$	$2$	$2$	$48.533$	\(\Q(\sqrt{5}) \)	None	✓	✓	6078.2.a.c	$1$	$0$	\(-2\)	\(-2\)	\(-2\)	\(3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-2\beta q^{5}+q^{6}+(2+\cdots)q^{7}+\cdots\)
6078.2.a.d	$6078$	$2$	6078.a	1.a	$1$	$14$	$14$	$48.533$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	✓	6078.2.a.d	$1$	$1$	\(-14\)	\(14\)	\(-2\)	\(-12\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
6078.2.a.e	$6078$	$2$	6078.a	1.a	$1$	$15$	$15$	$48.533$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	✓	6078.2.a.e	$1$	$1$	\(15\)	\(15\)	\(-14\)	\(-18\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+(-1-\beta _{8})q^{5}+q^{6}+\cdots\)
6078.2.a.f	$6078$	$2$	6078.a	1.a	$1$	$17$	$17$	$48.533$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	✓	6078.2.a.f	$1$	$0$	\(-17\)	\(-17\)	\(10\)	\(-5\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+(1-\beta _{1})q^{5}+q^{6}+\cdots\)
6078.2.a.g	$6078$	$2$	6078.a	1.a	$1$	$19$	$19$	$48.533$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	✓	6078.2.a.g	$1$	$0$	\(19\)	\(-19\)	\(8\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+\beta _{1}q^{5}-q^{6}-\beta _{6}q^{7}+\cdots\)
6078.2.a.h	$6078$	$2$	6078.a	1.a	$1$	$22$	$22$	$48.533$		None	✓	✓	6078.2.a.h	$1$	$1$	\(22\)	\(-22\)	\(-5\)	\(-7\)		$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
6078.2.a.i	$6078$	$2$	6078.a	1.a	$1$	$23$	$23$	$48.533$		None	✓	✓	6078.2.a.i	$1$	$1$	\(-23\)	\(-23\)	\(-7\)	\(3\)		$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
6078.2.a.j	$6078$	$2$	6078.a	1.a	$1$	$27$	$27$	$48.533$		None	✓	✓	6078.2.a.j	$1$	$0$	\(27\)	\(27\)	\(9\)	\(17\)		$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
6078.2.a.k	$6078$	$2$	6078.a	1.a	$1$	$28$	$28$	$48.533$		None	✓	✓	6078.2.a.k	$1$	$0$	\(-28\)	\(28\)	\(1\)	\(13\)		$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$