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Results (18 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	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	5
5000.2.a.a	$5000$	$2$	5000.a	1.a	$1$	$2$	$2$	$39.925$	\(\Q(\sqrt{5}) \)	None	✓				200.2.m.a	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-2\beta )q^{3}+(-2+\beta )q^{7}+2q^{9}+\cdots\)
5000.2.a.b	$5000$	$2$	5000.a	1.a	$1$	$2$	$2$	$39.925$	\(\Q(\sqrt{5}) \)	None	✓	✓			5000.2.a.b	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-2\beta )q^{3}+(-1-\beta )q^{7}+2q^{9}+\cdots\)
5000.2.a.c	$5000$	$2$	5000.a	1.a	$1$	$2$	$2$	$39.925$	\(\Q(\sqrt{5}) \)	None	✓				200.2.m.a	$1$	$0$	\(0\)	\(0\)	\(0\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-2\beta )q^{3}+(1+\beta )q^{7}+2q^{9}+(-2+\cdots)q^{11}+\cdots\)
5000.2.a.d	$5000$	$2$	5000.a	1.a	$1$	$2$	$2$	$39.925$	\(\Q(\sqrt{5}) \)	None	✓	✓			5000.2.a.b	$1$	$0$	\(0\)	\(0\)	\(0\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-2\beta )q^{3}+(2-\beta )q^{7}+2q^{9}+(5+\cdots)q^{11}+\cdots\)
5000.2.a.e	$5000$	$2$	5000.a	1.a	$1$	$4$	$4$	$39.925$	4.4.7625.1	None	✓	✓			5000.2.a.e	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}-\beta _{2}q^{7}+(3-\beta _{1}+\beta _{3})q^{9}+\cdots\)
5000.2.a.f	$5000$	$2$	5000.a	1.a	$1$	$4$	$4$	$39.925$	4.4.7625.1	None	✓				200.2.m.b	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+\beta _{3}q^{7}+(-2-\beta _{2})q^{9}+(2+\cdots)q^{11}+\cdots\)
5000.2.a.g	$5000$	$2$	5000.a	1.a	$1$	$4$	$4$	$39.925$	4.4.108625.1	None	✓	✓			5000.2.a.g	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}+(\beta _{1}-\beta _{2})q^{7}+(-1+\cdots)q^{9}+\cdots\)
5000.2.a.h	$5000$	$2$	5000.a	1.a	$1$	$4$	$4$	$39.925$	4.4.108625.1	None	✓	✓			5000.2.a.g	$1$	$0$	\(0\)	\(2\)	\(0\)	\(-3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}+(-1+\beta _{1})q^{7}+(-1+\cdots)q^{9}+\cdots\)
5000.2.a.i	$5000$	$2$	5000.a	1.a	$1$	$4$	$4$	$39.925$	4.4.7625.1	None	✓				200.2.m.b	$1$	$0$	\(0\)	\(2\)	\(0\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}-\beta _{3}q^{7}+(-2-\beta _{2})q^{9}+(2+\cdots)q^{11}+\cdots\)
5000.2.a.j	$5000$	$2$	5000.a	1.a	$1$	$4$	$4$	$39.925$	4.4.7625.1	None	✓	✓			5000.2.a.e	$1$	$1$	\(0\)	\(3\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+\beta _{2}q^{7}+(3-\beta _{1}+\beta _{3})q^{9}+\cdots\)
5000.2.a.k	$5000$	$2$	5000.a	1.a	$1$	$8$	$8$	$39.925$	8.8.3266578125.1	None	✓	✓			5000.2.a.k	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1}-\beta _{3})q^{3}+(\beta _{4}-\beta _{5})q^{7}+\cdots\)
5000.2.a.l	$5000$	$2$	5000.a	1.a	$1$	$8$	$8$	$39.925$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓				200.2.m.c	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{2}q^{7}+(\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{9}+\cdots\)
5000.2.a.m	$5000$	$2$	5000.a	1.a	$1$	$8$	$8$	$39.925$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓				200.2.m.c	$1$	$0$	\(0\)	\(2\)	\(0\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{2}q^{7}+(\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{9}+\cdots\)
5000.2.a.n	$5000$	$2$	5000.a	1.a	$1$	$8$	$8$	$39.925$	8.8.3266578125.1	None	✓	✓			5000.2.a.k	$1$	$1$	\(0\)	\(3\)	\(0\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1}+\beta _{3})q^{3}+(-\beta _{4}+\beta _{5})q^{7}+\cdots\)
5000.2.a.o	$5000$	$2$	5000.a	1.a	$1$	$12$	$12$	$39.925$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	✓			5000.2.a.o	$1$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)		$+$	$-$	$-$	$5$	$\mathrm{SU}(2)$	\(q-\beta _{6}q^{3}+(1+\beta _{1}-\beta _{2}+\beta _{5})q^{7}+(2+\cdots)q^{9}+\cdots\)
5000.2.a.p	$5000$	$2$	5000.a	1.a	$1$	$12$	$12$	$39.925$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	✓	✓		5000.2.a.o	$1$	$0$	\(0\)	\(4\)	\(0\)	\(0\)		$-$	$+$	$-$	$5$	$\mathrm{SU}(2)$	\(q+\beta _{6}q^{3}+(-1-\beta _{1}+\beta _{2}-\beta _{5})q^{7}+\cdots\)
5000.2.a.q	$5000$	$2$	5000.a	1.a	$1$	$16$	$16$	$39.925$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓		✓		200.2.q.a	$1$	$1$	\(0\)	\(-4\)	\(0\)	\(-8\)		$-$	$-$	$+$	$5^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1+\beta _{8})q^{7}+(1+\beta _{2})q^{9}+\cdots\)
5000.2.a.r	$5000$	$2$	5000.a	1.a	$1$	$16$	$16$	$39.925$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓		✓		200.2.q.a	$1$	$0$	\(0\)	\(4\)	\(0\)	\(8\)		$+$	$-$	$-$	$5^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1-\beta _{8})q^{7}+(1+\beta _{2})q^{9}+\cdots\)