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Results (15 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	5	401
4010.2.a.a	$4010$	$2$	4010.a	1.a	$1$	$1$	$1$	$32.020$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-2\)	\(1\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}+q^{5}+2q^{6}-4q^{7}+\cdots\)
4010.2.a.b	$4010$	$2$	4010.a	1.a	$1$	$1$	$1$	$32.020$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(2\)	\(-1\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}+q^{4}-q^{5}-2q^{6}-q^{8}+\cdots\)
4010.2.a.c	$4010$	$2$	4010.a	1.a	$1$	$1$	$1$	$32.020$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(2\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}+q^{4}+q^{5}-2q^{6}-q^{8}+\cdots\)
4010.2.a.d	$4010$	$2$	4010.a	1.a	$1$	$1$	$1$	$32.020$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(3\)	\(-1\)	\(1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+3q^{3}+q^{4}-q^{5}-3q^{6}+q^{7}+\cdots\)
4010.2.a.e	$4010$	$2$	4010.a	1.a	$1$	$1$	$1$	$32.020$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(1\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+3q^{7}+\cdots\)
4010.2.a.f	$4010$	$2$	4010.a	1.a	$1$	$1$	$1$	$32.020$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(2\)	\(1\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}+4q^{7}+\cdots\)
4010.2.a.g	$4010$	$2$	4010.a	1.a	$1$	$2$	$2$	$32.020$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}+q^{5}-\beta q^{6}+2\beta q^{7}+\cdots\)
4010.2.a.h	$4010$	$2$	4010.a	1.a	$1$	$9$	$9$	$32.020$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(9\)	\(-4\)	\(9\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{7}q^{3}+q^{4}+q^{5}-\beta _{7}q^{6}+\cdots\)
4010.2.a.i	$4010$	$2$	4010.a	1.a	$1$	$10$	$10$	$32.020$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(-10\)	\(-4\)	\(10\)	\(-3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{7}q^{3}+q^{4}+q^{5}+\beta _{7}q^{6}+\cdots\)
4010.2.a.j	$4010$	$2$	4010.a	1.a	$1$	$12$	$12$	$32.020$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(12\)	\(-2\)	\(-12\)	\(-9\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
4010.2.a.k	$4010$	$2$	4010.a	1.a	$1$	$15$	$15$	$32.020$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$1$	\(-15\)	\(-6\)	\(-15\)	\(-5\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{9}q^{3}+q^{4}-q^{5}+\beta _{9}q^{6}+\cdots\)
4010.2.a.l	$4010$	$2$	4010.a	1.a	$1$	$17$	$17$	$32.020$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$0$	\(-17\)	\(3\)	\(-17\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
4010.2.a.m	$4010$	$2$	4010.a	1.a	$1$	$20$	$20$	$32.020$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$0$	\(-20\)	\(4\)	\(20\)	\(11\)		$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
4010.2.a.n	$4010$	$2$	4010.a	1.a	$1$	$22$	$22$	$32.020$		None	✓	$1$	$0$	\(22\)	\(1\)	\(22\)	\(0\)		$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
4010.2.a.o	$4010$	$2$	4010.a	1.a	$1$	$22$	$22$	$32.020$		None	✓	$1$	$0$	\(22\)	\(2\)	\(-22\)	\(13\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$