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Results (1-50 of 165 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
153.2.a.a	$153$	$2$	153.a	1.a	$1$	$1$	$1$	$1.222$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-1\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}-q^{5}-2q^{7}+2q^{10}+\cdots\)
153.2.a.b	$153$	$2$	153.a	1.a	$1$	$1$	$1$	$1.222$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-3q^{5}-4q^{7}+3q^{11}-q^{13}+\cdots\)
153.2.a.c	$153$	$2$	153.a	1.a	$1$	$1$	$1$	$1.222$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(2\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+2q^{5}+4q^{7}-3q^{8}+2q^{10}+\cdots\)
153.2.a.d	$153$	$2$	153.a	1.a	$1$	$1$	$1$	$1.222$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(1\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}+q^{5}-2q^{7}+2q^{10}+\cdots\)
153.2.a.e	$153$	$2$	153.a	1.a	$1$	$2$	$2$	$1.222$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-3\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(2+\beta )q^{4}+(-1-\beta )q^{5}+(4+\cdots)q^{8}+\cdots\)
153.2.d.a	$153$	$2$	153.d	17.b	$2$	$2$	$2$	$1.222$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-q^{2}-q^{4}+iq^{7}+3q^{8}+iq^{11}+\cdots\)
153.2.d.b	$153$	$2$	153.d	17.b	$2$	$2$	$2$	$1.222$	\(\Q(\sqrt{-17}) \)	\(\Q(\sqrt{-51}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{4}+\beta q^{5}+\beta q^{11}-q^{13}+4q^{16}+\cdots\)
153.2.d.c	$153$	$2$	153.d	17.b	$2$	$2$	$2$	$1.222$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(4\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+2q^{2}+2q^{4}+3iq^{5}-2iq^{7}+6iq^{10}+\cdots\)
153.2.e.a	$153$	$2$	153.e	9.c	$3$	$4$	$2$	$1.222$	\(\Q(\sqrt{-3}, \sqrt{5})\)	None		$2$	$0$	\(-1\)	\(0\)	\(0\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-\beta _{1}q^{2}+(1+2\beta _{3})q^{3}+(\beta _{1}+\beta _{2}-\beta _{3})q^{4}+\cdots\)
153.2.e.b	$153$	$2$	153.e	9.c	$3$	$8$	$4$	$1.222$	8.0.152695449.1	None		$2$	$0$	\(1\)	\(-1\)	\(-1\)	\(3\)		$3$	$\mathrm{SU}(2)[C_{3}]$	\(q+(\beta _{1}+\beta _{3}-\beta _{6})q^{2}+(-\beta _{1}+\beta _{6})q^{3}+\cdots\)
153.2.e.c	$153$	$2$	153.e	9.c	$3$	$20$	$10$	$1.222$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None		$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(-11\)		$3^{3}$	$\mathrm{SU}(2)[C_{3}]$	\(q-\beta _{16}q^{2}-\beta _{10}q^{3}+(-1-\beta _{3}-\beta _{5}+\cdots)q^{4}+\cdots\)
153.2.f.a	$153$	$2$	153.f	17.c	$4$	$4$	$2$	$1.222$	\(\Q(\zeta_{8})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(\zeta_{8}+\zeta_{8}^{3})q^{2}+\zeta_{8}q^{5}+(1-\zeta_{8}^{2}+\cdots)q^{7}+\cdots\)
153.2.f.b	$153$	$2$	153.f	17.c	$4$	$8$	$4$	$1.222$	8.0.836829184.2	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(-4\)		$2^{3}$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{1}q^{2}+(-2-\beta _{4}+\beta _{6})q^{4}+(1-\beta _{2}+\cdots)q^{5}+\cdots\)
153.2.h.a	$153$	$2$	153.h	153.h	$6$	$8$	$4$	$1.222$	\(\Q(\zeta_{24})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$3^{2}$	$\mathrm{SU}(2)[C_{6}]$	\(q-\zeta_{24}^{3}q^{2}+(-\zeta_{24}-\zeta_{24}^{7})q^{3}+(-1+\cdots)q^{4}+\cdots\)
153.2.h.b	$153$	$2$	153.h	153.h	$6$	$24$	$12$	$1.222$		None		$4$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
153.2.l.a	$153$	$2$	153.l	17.d	$8$	$4$	$1$	$1.222$	\(\Q(\zeta_{8})\)	None		$2$	$0$	\(0\)	\(0\)	\(-4\)	\(-8\)		$1$	$\mathrm{SU}(2)[C_{8}]$	\(q-\zeta_{8}^{3}q^{2}+\zeta_{8}^{2}q^{4}+(-1+\zeta_{8}-2\zeta_{8}^{2}+\cdots)q^{5}+\cdots\)
153.2.l.b	$153$	$2$	153.l	17.d	$8$	$4$	$1$	$1.222$	\(\Q(\zeta_{8})\)	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(-8\)		$1$	$\mathrm{SU}(2)[C_{8}]$	\(q+\zeta_{8}^{3}q^{2}+\zeta_{8}^{2}q^{4}+(1-\zeta_{8}+2\zeta_{8}^{2}+\cdots)q^{5}+\cdots\)
153.2.l.c	$153$	$2$	153.l	17.d	$8$	$4$	$1$	$1.222$	\(\Q(\zeta_{8})\)	None		$2$	$0$	\(4\)	\(0\)	\(0\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{8}]$	\(q+(1-\zeta_{8}^{2}+\zeta_{8}^{3})q^{2}+(2\zeta_{8}-\zeta_{8}^{2}+\cdots)q^{4}+\cdots\)
153.2.l.d	$153$	$2$	153.l	17.d	$8$	$8$	$2$	$1.222$	8.0.\(\cdots\).13	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(16\)		$1$	$\mathrm{SU}(2)[C_{8}]$	\(q+(-\beta _{5}+\beta _{7})q^{2}+(-\beta _{2}+4\beta _{4}+\beta _{6}+\cdots)q^{4}+\cdots\)
153.2.l.e	$153$	$2$	153.l	17.d	$8$	$8$	$2$	$1.222$	\(\Q(\zeta_{16})\)	None		$2$	$0$	\(0\)	\(0\)	\(8\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{8}]$	\(q+(\zeta_{16}+\zeta_{16}^{3})q^{2}+(\zeta_{16}^{2}+\zeta_{16}^{6}+\cdots)q^{4}+\cdots\)
153.2.n.a	$153$	$2$	153.n	153.n	$12$	$64$	$16$	$1.222$		None		$4$	$0$	\(0\)	\(-6\)	\(-2\)	\(-2\)			$\mathrm{SU}(2)[C_{12}]$
153.2.o.a	$153$	$2$	153.o	51.i	$16$	$24$	$3$	$1.222$		None		$2$	$0$	\(0\)	\(0\)	\(-8\)	\(0\)			$\mathrm{SU}(2)[C_{16}]$
153.2.o.b	$153$	$2$	153.o	51.i	$16$	$24$	$3$	$1.222$		None		$2$	$0$	\(0\)	\(0\)	\(8\)	\(0\)			$\mathrm{SU}(2)[C_{16}]$
153.2.r.a	$153$	$2$	153.r	153.r	$24$	$128$	$16$	$1.222$		None		$4$	$0$	\(-4\)	\(-8\)	\(-4\)	\(-4\)			$\mathrm{SU}(2)[C_{24}]$
153.2.s.a	$153$	$2$	153.s	153.s	$48$	$256$	$16$	$1.222$		None		$4$	$0$	\(-24\)	\(-16\)	\(-24\)	\(-8\)			$\mathrm{SU}(2)[C_{48}]$
153.3.b.a	$153$	$3$	153.b	3.b	$2$	$12$	$12$	$4.169$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{4}\cdot 3^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+(-3+\beta _{2})q^{4}+(-\beta _{1}+\beta _{9}+\cdots)q^{5}+\cdots\)
153.3.c.a	$153$	$3$	153.c	51.c	$2$	$12$	$12$	$4.169$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{6}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{2}+(-2-\beta _{2}+\beta _{4})q^{4}-\beta _{5}q^{5}+\cdots\)
153.3.g.a	$153$	$3$	153.g	51.f	$4$	$24$	$12$	$4.169$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
153.3.i.a	$153$	$3$	153.i	153.i	$6$	$68$	$34$	$4.169$		None		$4$	$0$	\(-6\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
153.3.j.a	$153$	$3$	153.j	9.d	$6$	$64$	$32$	$4.169$		None		$2$	$0$	\(0\)	\(-2\)	\(-18\)	\(2\)			$\mathrm{SU}(2)[C_{6}]$
153.3.k.a	$153$	$3$	153.k	51.g	$8$	$24$	$6$	$4.169$		None		$2$	$0$	\(0\)	\(0\)	\(-16\)	\(0\)			$\mathrm{SU}(2)[C_{8}]$
153.3.k.b	$153$	$3$	153.k	51.g	$8$	$24$	$6$	$4.169$		None		$2$	$0$	\(0\)	\(0\)	\(16\)	\(0\)			$\mathrm{SU}(2)[C_{8}]$
153.3.m.a	$153$	$3$	153.m	153.m	$12$	$136$	$34$	$4.169$		None		$4$	$0$	\(0\)	\(0\)	\(-6\)	\(-2\)			$\mathrm{SU}(2)[C_{12}]$
153.3.p.a	$153$	$3$	153.p	17.e	$16$	$8$	$1$	$4.169$	\(\Q(\zeta_{16})\)	None		$2$	$0$	\(0\)	\(0\)	\(24\)	\(-16\)		$1$	$\mathrm{SU}(2)[C_{16}]$	\(q+(\zeta_{16}^{2}-\zeta_{16}^{4}-\zeta_{16}^{7})q^{2}+(-1+\cdots)q^{4}+\cdots\)
153.3.p.b	$153$	$3$	153.p	17.e	$16$	$8$	$1$	$4.169$	\(\Q(\zeta_{16})\)	None		$2$	$0$	\(8\)	\(0\)	\(-16\)	\(8\)		$1$	$\mathrm{SU}(2)[C_{16}]$	\(q+(1-\zeta_{16}-\zeta_{16}^{2}+\zeta_{16}^{4}+\zeta_{16}^{5}+\cdots)q^{2}+\cdots\)
153.3.p.c	$153$	$3$	153.p	17.e	$16$	$48$	$6$	$4.169$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{16}]$
153.3.p.d	$153$	$3$	153.p	17.e	$16$	$48$	$6$	$4.169$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{16}]$
153.3.q.a	$153$	$3$	153.q	153.q	$24$	$272$	$34$	$4.169$		None		$4$	$0$	\(-12\)	\(-8\)	\(-12\)	\(-4\)			$\mathrm{SU}(2)[C_{24}]$
153.3.t.a	$153$	$3$	153.t	153.t	$48$	$544$	$34$	$4.169$		None		$4$	$0$	\(-8\)	\(-16\)	\(-8\)	\(-8\)			$\mathrm{SU}(2)[C_{48}]$
153.4.a.a	$153$	$4$	153.a	1.a	$1$	$1$	$1$	$9.027$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(10\)	\(-8\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-7q^{4}+10q^{5}-8q^{7}+15q^{8}+\cdots\)
153.4.a.b	$153$	$4$	153.a	1.a	$1$	$1$	$1$	$9.027$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-16\)	\(34\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-7q^{4}-2^{4}q^{5}+34q^{7}-15q^{8}+\cdots\)
153.4.a.c	$153$	$4$	153.a	1.a	$1$	$1$	$1$	$9.027$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(20\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-7q^{4}+20q^{5}-2q^{7}-15q^{8}+\cdots\)
153.4.a.d	$153$	$4$	153.a	1.a	$1$	$1$	$1$	$9.027$	\(\Q\)	None	✓	$1$	$1$	\(3\)	\(0\)	\(-6\)	\(-28\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+q^{4}-6q^{5}-28q^{7}-21q^{8}+\cdots\)
153.4.a.e	$153$	$4$	153.a	1.a	$1$	$2$	$2$	$9.027$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-6\)	\(-8\)	$+$	$3$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+10q^{4}+(-3+4\beta )q^{5}+(-4+\cdots)q^{7}+\cdots\)
153.4.a.f	$153$	$4$	153.a	1.a	$1$	$3$	$3$	$9.027$	3.3.5912.1	None	✓	$1$	$1$	\(-5\)	\(0\)	\(-8\)	\(-8\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1})q^{2}+(5-2\beta _{1}+\beta _{2})q^{4}+\cdots\)
153.4.a.g	$153$	$4$	153.a	1.a	$1$	$3$	$3$	$9.027$	3.3.2636.1	None	✓	$1$	$0$	\(-1\)	\(0\)	\(8\)	\(22\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}+\beta _{2})q^{2}+(8-3\beta _{1}-\beta _{2})q^{4}+\cdots\)
153.4.a.h	$153$	$4$	153.a	1.a	$1$	$4$	$4$	$9.027$	4.4.1506848.1	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-22\)	\(-24\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{2}+(6+2\beta _{2}-\beta _{3})q^{4}+\cdots\)
153.4.a.i	$153$	$4$	153.a	1.a	$1$	$4$	$4$	$9.027$	4.4.1506848.1	None	✓	$1$	$0$	\(4\)	\(0\)	\(22\)	\(-24\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{2})q^{2}+(6-2\beta _{2}-\beta _{3})q^{4}+(5+\cdots)q^{5}+\cdots\)
153.4.d.a	$153$	$4$	153.d	17.b	$2$	$2$	$2$	$9.027$	\(\Q(\sqrt{-17}) \)	\(\Q(\sqrt{-51}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-8q^{4}+2\beta q^{5}-2^{4}\beta q^{11}+38q^{13}+\cdots\)
153.4.d.b	$153$	$4$	153.d	17.b	$2$	$4$	$4$	$9.027$	4.0.4669632.2	None		$2$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+(1-\beta _{2})q^{2}+(1-\beta _{2})q^{4}-\beta _{3}q^{5}+\cdots\)