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Results (18 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	7	431
6034.2.a.a	$6034$	$2$	6034.a	1.a	$1$	$1$	$1$	$48.182$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-3\)	\(-1\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-3q^{3}+q^{4}-q^{5}+3q^{6}-q^{7}+\cdots\)
6034.2.a.b	$6034$	$2$	6034.a	1.a	$1$	$1$	$1$	$48.182$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-3\)	\(-1\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-3q^{3}+q^{4}-q^{5}+3q^{6}+q^{7}+\cdots\)
6034.2.a.c	$6034$	$2$	6034.a	1.a	$1$	$1$	$1$	$48.182$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(-4\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}-4q^{5}+2q^{6}-q^{7}+\cdots\)
6034.2.a.d	$6034$	$2$	6034.a	1.a	$1$	$1$	$1$	$48.182$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-4\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-4q^{5}+q^{7}-q^{8}-3q^{9}+\cdots\)
6034.2.a.e	$6034$	$2$	6034.a	1.a	$1$	$1$	$1$	$48.182$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(-3\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-3q^{5}-q^{6}-q^{7}+\cdots\)
6034.2.a.f	$6034$	$2$	6034.a	1.a	$1$	$1$	$1$	$48.182$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(3\)	\(2\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+3q^{3}+q^{4}+2q^{5}+3q^{6}-q^{7}+\cdots\)
6034.2.a.g	$6034$	$2$	6034.a	1.a	$1$	$2$	$2$	$48.182$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-2\)	\(4\)	\(-5\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}+q^{4}+(-2-\beta )q^{5}-2q^{6}+\cdots\)
6034.2.a.h	$6034$	$2$	6034.a	1.a	$1$	$2$	$2$	$48.182$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-\beta q^{5}-q^{6}-q^{7}+\cdots\)
6034.2.a.i	$6034$	$2$	6034.a	1.a	$1$	$2$	$2$	$48.182$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(2\)	\(4\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{7}+q^{8}+\cdots\)
6034.2.a.j	$6034$	$2$	6034.a	1.a	$1$	$4$	$4$	$48.182$	4.4.10273.1	None	✓	$1$	$1$	\(-4\)	\(-2\)	\(1\)	\(4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+\beta _{3}q^{5}+\cdots\)
6034.2.a.k	$6034$	$2$	6034.a	1.a	$1$	$20$	$20$	$48.182$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$1$	\(-20\)	\(3\)	\(-3\)	\(20\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{15}q^{5}-\beta _{1}q^{6}+\cdots\)
6034.2.a.l	$6034$	$2$	6034.a	1.a	$1$	$20$	$20$	$48.182$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$1$	\(20\)	\(-3\)	\(-10\)	\(-20\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-1+\beta _{7})q^{5}+\cdots\)
6034.2.a.m	$6034$	$2$	6034.a	1.a	$1$	$21$	$21$	$48.182$		None	✓	$1$	$1$	\(21\)	\(-6\)	\(-11\)	\(21\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
6034.2.a.n	$6034$	$2$	6034.a	1.a	$1$	$24$	$24$	$48.182$		None	✓	$1$	$0$	\(-24\)	\(7\)	\(8\)	\(-24\)		$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
6034.2.a.o	$6034$	$2$	6034.a	1.a	$1$	$25$	$25$	$48.182$		None	✓	$1$	$1$	\(-25\)	\(-4\)	\(0\)	\(-25\)		$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
6034.2.a.p	$6034$	$2$	6034.a	1.a	$1$	$27$	$27$	$48.182$		None	✓	$1$	$0$	\(-27\)	\(4\)	\(9\)	\(27\)		$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
6034.2.a.q	$6034$	$2$	6034.a	1.a	$1$	$31$	$31$	$48.182$		None	✓	$1$	$0$	\(31\)	\(2\)	\(13\)	\(31\)		$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
6034.2.a.r	$6034$	$2$	6034.a	1.a	$1$	$31$	$31$	$48.182$		None	✓	$1$	$0$	\(31\)	\(7\)	\(15\)	\(-31\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$