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Results (1-50 of 96 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
580.1.e.a	$580$	$1$	580.e	580.e	$2$	$1$	$1$	$0.289$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-145}) \)	\(\Q(\sqrt{145}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)		$1$		\(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{9}+q^{10}+\cdots\)
580.1.e.b	$580$	$1$	580.e	580.e	$2$	$1$	$1$	$0.289$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-145}) \)	\(\Q(\sqrt{145}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)		$1$		\(q+q^{2}+q^{4}-q^{5}+q^{8}+q^{9}-q^{10}+\cdots\)
580.1.e.c	$580$	$1$	580.e	580.e	$2$	$2$	$2$	$0.289$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-29}) \)	\(\Q(\sqrt{145}) \)		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$1$		\(q-iq^{2}-iq^{3}-q^{4}+q^{5}-2q^{6}+iq^{8}+\cdots\)
580.1.e.d	$580$	$1$	580.e	580.e	$2$	$4$	$4$	$0.289$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-29}) \)	None		$8$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$1$		\(q+\zeta_{12}^{3}q^{2}-\zeta_{12}^{3}q^{3}-q^{4}+\zeta_{12}^{4}q^{5}+\cdots\)
580.1.i.a	$580$	$1$	580.i	580.i	$4$	$2$	$1$	$0.289$	\(\Q(\sqrt{-1}) \)	$D_{4}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-iq^{2}-q^{4}+iq^{5}+iq^{8}+q^{9}+q^{10}+\cdots\)
580.1.t.a	$580$	$1$	580.t	580.t	$4$	$2$	$1$	$0.289$	\(\Q(\sqrt{-1}) \)	$D_{4}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$1$		\(q+q^{2}+q^{4}+iq^{5}+q^{8}-q^{9}+iq^{10}+\cdots\)
580.1.v.a	$580$	$1$	580.v	580.v	$14$	$6$	$1$	$0.289$	\(\Q(\zeta_{14})\)	$D_{7}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(-1\)	\(-2\)	\(-1\)	\(5\)		$1$		\(q+\zeta_{14}^{2}q^{2}+(-\zeta_{14}-\zeta_{14}^{5})q^{3}+\zeta_{14}^{4}q^{4}+\cdots\)
580.1.v.b	$580$	$1$	580.v	580.v	$14$	$6$	$1$	$0.289$	\(\Q(\zeta_{14})\)	$D_{7}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(1\)	\(2\)	\(-1\)	\(-5\)		$1$		\(q-\zeta_{14}^{2}q^{2}+(\zeta_{14}+\zeta_{14}^{5})q^{3}+\zeta_{14}^{4}q^{4}+\cdots\)
580.1.y.a	$580$	$1$	580.y	580.y	$14$	$6$	$1$	$0.289$	\(\Q(\zeta_{14})\)	$D_{14}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)		$1$		\(q-\zeta_{14}q^{2}+\zeta_{14}^{2}q^{4}-\zeta_{14}^{4}q^{5}-\zeta_{14}^{3}q^{8}+\cdots\)
580.1.y.b	$580$	$1$	580.y	580.y	$14$	$6$	$1$	$0.289$	\(\Q(\zeta_{14})\)	$D_{14}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(1\)	\(0\)	\(1\)	\(0\)		$1$		\(q+\zeta_{14}q^{2}+\zeta_{14}^{2}q^{4}+\zeta_{14}^{5}q^{5}+\zeta_{14}^{3}q^{8}+\cdots\)
580.1.y.c	$580$	$1$	580.y	580.y	$14$	$12$	$2$	$0.289$	\(\Q(\zeta_{28})\)	$D_{14}$	\(\Q(\sqrt{-5}) \)	None		$8$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$1$		\(q+\zeta_{28}^{9}q^{2}+(\zeta_{28}+\zeta_{28}^{5})q^{3}-\zeta_{28}^{4}q^{4}+\cdots\)
580.1.bd.a	$580$	$1$	580.bd	580.ad	$28$	$12$	$1$	$0.289$	\(\Q(\zeta_{28})\)	$D_{28}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\zeta_{28}^{2}q^{2}+\zeta_{28}^{4}q^{4}-\zeta_{28}q^{5}-\zeta_{28}^{6}q^{8}+\cdots\)
580.1.bm.a	$580$	$1$	580.bm	580.am	$28$	$12$	$1$	$0.289$	\(\Q(\zeta_{28})\)	$D_{28}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{28}^{3}q^{2}+\zeta_{28}^{6}q^{4}+\zeta_{28}q^{5}+\zeta_{28}^{9}q^{8}+\cdots\)
580.2.a.a	$580$	$2$	580.a	1.a	$1$	$1$	$1$	$4.631$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-3q^{9}-2q^{11}-2q^{13}-2q^{19}+\cdots\)
580.2.a.b	$580$	$2$	580.a	1.a	$1$	$1$	$1$	$4.631$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-2q^{7}-3q^{9}-4q^{11}-6q^{13}+\cdots\)
580.2.a.c	$580$	$2$	580.a	1.a	$1$	$3$	$3$	$4.631$	3.3.564.1	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(2\)	\(-3\)	\(-4\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}-q^{5}+(-1+\beta _{2})q^{7}+\cdots\)
580.2.a.d	$580$	$2$	580.a	1.a	$1$	$3$	$3$	$4.631$	3.3.148.1	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(2\)	\(3\)	\(2\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+q^{5}+(1-\beta _{2})q^{7}+(1+\cdots)q^{9}+\cdots\)
580.2.c.a	$580$	$2$	580.c	5.b	$2$	$4$	$4$	$4.631$	\(\Q(\sqrt{-2}, \sqrt{3})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{2})q^{5}+\beta _{1}q^{7}+\cdots\)
580.2.c.b	$580$	$2$	580.c	5.b	$2$	$10$	$10$	$4.631$	\(\mathbb{Q}[x]/(x^{10} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{3}-\beta _{7}q^{5}+(-\beta _{1}+\beta _{8}+\beta _{9})q^{7}+\cdots\)
580.2.d.a	$580$	$2$	580.d	29.b	$2$	$2$	$2$	$4.631$	\(\Q(\sqrt{-7}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-2\)	\(-4\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-q^{5}-2q^{7}+3q^{9}-\beta q^{11}-2q^{13}+\cdots\)
580.2.d.b	$580$	$2$	580.d	29.b	$2$	$4$	$4$	$4.631$	4.0.7168.1	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-4\)	\(8\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{3}-q^{5}+(2+\beta _{3})q^{7}+(-3+2\beta _{3})q^{9}+\cdots\)
580.2.d.c	$580$	$2$	580.d	29.b	$2$	$4$	$4$	$4.631$	\(\Q(\sqrt{-2}, \sqrt{11})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(-4\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{3}+q^{5}+(-1+\beta _{3})q^{7}+q^{9}+\cdots\)
580.2.f.a	$580$	$2$	580.f	145.d	$2$	$16$	$16$	$4.631$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$2^{15}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{3}+\beta _{9}q^{5}+\beta _{10}q^{7}+(2+\beta _{5}+\cdots)q^{9}+\cdots\)
580.2.j.a	$580$	$2$	580.j	145.j	$4$	$30$	$15$	$4.631$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
580.2.k.a	$580$	$2$	580.k	116.e	$4$	$60$	$30$	$4.631$		$_{}$	None	None		$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
580.2.k.b	$580$	$2$	580.k	116.e	$4$	$60$	$30$	$4.631$		$_{}$	None	None		$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
580.2.n.a	$580$	$2$	580.n	20.e	$4$	$2$	$1$	$4.631$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		$2$	$0$	\(-2\)	\(-2\)	\(2\)	\(4\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(-1+i)q^{2}+(-1-i)q^{3}-2iq^{4}+\cdots\)
580.2.n.b	$580$	$2$	580.n	20.e	$4$	$2$	$1$	$4.631$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		$2$	$0$	\(2\)	\(2\)	\(2\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(1-i)q^{2}+(1+i)q^{3}-2iq^{4}+(1+\cdots)q^{5}+\cdots\)
580.2.n.c	$580$	$2$	580.n	20.e	$4$	$8$	$4$	$4.631$	8.0.18939904.2	$_{}$	None	None		$4$	$0$	\(4\)	\(0\)	\(-16\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{4}]$	\(q+(1+\beta _{3}+\beta _{6})q^{2}+(\beta _{1}-\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots\)
580.2.n.d	$580$	$2$	580.n	20.e	$4$	$76$	$38$	$4.631$		$_{}$	None	None		$4$	$0$	\(-4\)	\(0\)	\(16\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
580.2.n.e	$580$	$2$	580.n	20.e	$4$	$80$	$40$	$4.631$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
580.2.o.a	$580$	$2$	580.o	580.o	$4$	$2$	$1$	$4.631$	\(\Q(\sqrt{-1}) \)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(4\)	\(0\)		$1$	$\mathrm{U}(1)[D_{4}]$	\(q+(-1+i)q^{2}-2iq^{4}+(2+i)q^{5}+\cdots\)
580.2.o.b	$580$	$2$	580.o	580.o	$4$	$2$	$1$	$4.631$	\(\Q(\sqrt{-1}) \)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(2\)	\(0\)	\(4\)	\(0\)		$1$	$\mathrm{U}(1)[D_{4}]$	\(q+(1-i)q^{2}-2iq^{4}+(2+i)q^{5}+(-2+\cdots)q^{8}+\cdots\)
580.2.o.c	$580$	$2$	580.o	580.o	$4$	$12$	$6$	$4.631$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	\(\Q(\sqrt{-29}) \)	None		$4$	$0$	\(-12\)	\(0\)	\(0\)	\(0\)		$2^{4}\cdot 5$	$\mathrm{U}(1)[D_{4}]$	\(q+(-1-\beta _{3})q^{2}-\beta _{7}q^{3}+2\beta _{3}q^{4}+\cdots\)
580.2.o.d	$580$	$2$	580.o	580.o	$4$	$12$	$6$	$4.631$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	\(\Q(\sqrt{-29}) \)	None		$4$	$0$	\(12\)	\(0\)	\(0\)	\(0\)		$2^{4}\cdot 5$	$\mathrm{U}(1)[D_{4}]$	\(q+(1-\beta _{1})q^{2}+\beta _{5}q^{3}-2\beta _{1}q^{4}+\beta _{2}q^{5}+\cdots\)
580.2.o.e	$580$	$2$	580.o	580.o	$4$	$144$	$72$	$4.631$		$_{}$	None	None		$8$	$0$	\(0\)	\(0\)	\(-16\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
580.2.r.a	$580$	$2$	580.r	580.r	$4$	$2$	$1$	$4.631$	\(\Q(\sqrt{-1}) \)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$1$	\(-2\)	\(0\)	\(-2\)	\(0\)		$1$	$\mathrm{U}(1)[D_{4}]$	\(q+(-1+i)q^{2}-2iq^{4}+(-1+2i)q^{5}+\cdots\)
580.2.r.b	$580$	$2$	580.r	580.r	$4$	$2$	$1$	$4.631$	\(\Q(\sqrt{-1}) \)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(2\)	\(0\)	\(2\)	\(0\)		$1$	$\mathrm{U}(1)[D_{4}]$	\(q+(1-i)q^{2}-2iq^{4}+(1+2i)q^{5}+(-2+\cdots)q^{8}+\cdots\)
580.2.r.c	$580$	$2$	580.r	580.r	$4$	$4$	$2$	$4.631$	\(\Q(i, \sqrt{5})\)	$_{}$	\(\Q(\sqrt{-5}) \)	None		$4$	$1$	\(-4\)	\(-4\)	\(0\)	\(-12\)		$2^{2}$	$\mathrm{U}(1)[D_{4}]$	\(q+(-1-\beta _{1})q^{2}+(-1-\beta _{1})q^{3}+2\beta _{1}q^{4}+\cdots\)
580.2.r.d	$580$	$2$	580.r	580.r	$4$	$4$	$2$	$4.631$	\(\Q(i, \sqrt{5})\)	$_{}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(4\)	\(4\)	\(0\)	\(12\)		$2^{2}$	$\mathrm{U}(1)[D_{4}]$	\(q+(1+\beta _{1})q^{2}+(1+\beta _{1})q^{3}+2\beta _{1}q^{4}+\cdots\)
580.2.r.e	$580$	$2$	580.r	580.r	$4$	$160$	$80$	$4.631$		$_{}$	None	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
580.2.s.a	$580$	$2$	580.s	145.e	$4$	$30$	$15$	$4.631$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
580.2.u.a	$580$	$2$	580.u	29.d	$7$	$24$	$4$	$4.631$		$_{}$	None	None		$2$	$0$	\(0\)	\(-2\)	\(-4\)	\(0\)			$\mathrm{SU}(2)[C_{7}]$
580.2.u.b	$580$	$2$	580.u	29.d	$7$	$36$	$6$	$4.631$		$_{}$	None	None		$2$	$0$	\(0\)	\(2\)	\(6\)	\(0\)			$\mathrm{SU}(2)[C_{7}]$
580.2.x.a	$580$	$2$	580.x	145.l	$14$	$96$	$16$	$4.631$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)			$\mathrm{SU}(2)[C_{14}]$
580.2.z.a	$580$	$2$	580.z	29.e	$14$	$24$	$4$	$4.631$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-4\)	\(4\)			$\mathrm{SU}(2)[C_{14}]$
580.2.z.b	$580$	$2$	580.z	29.e	$14$	$36$	$6$	$4.631$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(6\)	\(-4\)			$\mathrm{SU}(2)[C_{14}]$
580.2.ba.a	$580$	$2$	580.ba	145.n	$14$	$84$	$14$	$4.631$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{14}]$
580.2.bc.a	$580$	$2$	580.bc	145.t	$28$	$180$	$15$	$4.631$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{28}]$
580.2.be.a	$580$	$2$	580.be	580.ae	$28$	$12$	$1$	$4.631$	\(\Q(\zeta_{28})\)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(-2\)	\(0\)		$1$	$\mathrm{U}(1)[D_{28}]$	\(q+(\zeta_{28}+\zeta_{28}^{8})q^{2}+2\zeta_{28}^{9}q^{4}+(-1+\cdots)q^{5}+\cdots\)