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Results (1-50 of 72 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
164.1.d.a	$164$	$1$	164.d	164.d	$2$	$1$	$1$	$0.082$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-41}) \)	\(\Q(\sqrt{41}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(-2\)	\(0\)		$1$		\(q+q^{2}+q^{4}-2q^{5}+q^{8}-q^{9}-2q^{10}+\cdots\)
164.1.d.b	$164$	$1$	164.d	164.d	$2$	$2$	$2$	$0.082$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-41}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)		$1$		\(q-q^{2}-\beta q^{3}+q^{4}+\beta q^{6}+\beta q^{7}-q^{8}+\cdots\)
164.1.j.a	$164$	$1$	164.j	164.j	$10$	$4$	$1$	$0.082$	\(\Q(\zeta_{10})\)	$D_{5}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)		$1$		\(q-\zeta_{10}q^{2}+\zeta_{10}^{2}q^{4}+(-\zeta_{10}-\zeta_{10}^{3}+\cdots)q^{5}+\cdots\)
164.1.l.a	$164$	$1$	164.l	164.l	$10$	$4$	$1$	$0.082$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(2\)	\(0\)		$1$		\(q+\zeta_{10}^{2}q^{2}+\zeta_{10}^{4}q^{4}+(\zeta_{10}-\zeta_{10}^{2}+\cdots)q^{5}+\cdots\)
164.2.a.a	$164$	$2$	164.a	1.a	$1$	$4$	$4$	$1.310$	4.4.25808.1	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(2\)	\(4\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}+\beta _{2})q^{3}+(2-\beta _{2}+\beta _{3})q^{5}+\cdots\)
164.2.b.a	$164$	$2$	164.b	41.b	$2$	$4$	$4$	$1.310$	4.0.25088.1	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{3}+(-1+\beta _{2})q^{5}-\beta _{3}q^{7}+\beta _{2}q^{9}+\cdots\)
164.2.f.a	$164$	$2$	164.f	41.c	$4$	$6$	$3$	$1.310$	6.0.5089536.1	$_{}$	None	None		$2$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{1}q^{3}+(-\beta _{4}+\beta _{5})q^{5}+(\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
164.2.g.a	$164$	$2$	164.g	41.d	$5$	$16$	$4$	$1.310$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(-2\)	\(-4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+\beta _{2}q^{3}+(\beta _{3}+\beta _{4}-\beta _{6}+\beta _{7}-\beta _{9}+\cdots)q^{5}+\cdots\)
164.2.i.a	$164$	$2$	164.i	164.i	$8$	$4$	$1$	$1.310$	\(\Q(\zeta_{8})\)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(4\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{8}]$	\(q+(1+\zeta_{8}^{2})q^{2}+2\zeta_{8}^{2}q^{4}+4\zeta_{8}^{3}q^{5}+\cdots\)
164.2.i.b	$164$	$2$	164.i	164.i	$8$	$72$	$18$	$1.310$		$_{}$	None	None		$4$	$0$	\(-8\)	\(0\)	\(-8\)	\(0\)			$\mathrm{SU}(2)[C_{8}]$
164.2.k.a	$164$	$2$	164.k	41.f	$10$	$16$	$4$	$1.310$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{10}]$	\(q-\beta _{1}q^{3}-\beta _{12}q^{5}+(-\beta _{9}+\beta _{14})q^{7}+\cdots\)
164.2.m.a	$164$	$2$	164.m	41.g	$20$	$24$	$3$	$1.310$		$_{}$	None	None		$2$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{20}]$
164.2.o.a	$164$	$2$	164.o	164.o	$40$	$16$	$1$	$1.310$	\(\Q(\zeta_{40})\)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{40}]$	\(q+(\zeta_{40}^{2}-\zeta_{40}^{6}+\zeta_{40}^{8}+\zeta_{40}^{10}+\cdots)q^{2}+\cdots\)
164.2.o.b	$164$	$2$	164.o	164.o	$40$	$288$	$18$	$1.310$		$_{}$	None	None		$4$	$0$	\(-12\)	\(0\)	\(-32\)	\(0\)			$\mathrm{SU}(2)[C_{40}]$
164.3.c.a	$164$	$3$	164.c	4.b	$2$	$40$	$40$	$4.469$		$_{}$	None	None		$2$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
164.3.d.a	$164$	$3$	164.d	164.d	$2$	$4$	$4$	$4.469$	4.4.3442688.1	$_{}$	\(\Q(\sqrt{-41}) \)	None	✓	$4$	$0$	\(-8\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}-\beta _{2}q^{3}+4q^{4}+\beta _{3}q^{5}+2\beta _{2}q^{6}+\cdots\)
164.3.d.b	$164$	$3$	164.d	164.d	$2$	$4$	$4$	$4.469$	4.4.83968.1	$_{}$	\(\Q(\sqrt{-41}) \)	None	✓	$4$	$0$	\(8\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}-\beta _{3}q^{3}+4q^{4}+3\beta _{2}q^{5}-2\beta _{3}q^{6}+\cdots\)
164.3.d.c	$164$	$3$	164.d	164.d	$2$	$32$	$32$	$4.469$		$_{}$	None	None		$4$	$0$	\(-2\)	\(0\)	\(-8\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
164.3.e.a	$164$	$3$	164.e	164.e	$4$	$2$	$1$	$4.469$	\(\Q(\sqrt{-1}) \)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{4}]$	\(q-2iq^{2}-4q^{4}-6iq^{5}+8iq^{8}-9iq^{9}+\cdots\)
164.3.e.b	$164$	$3$	164.e	164.e	$4$	$2$	$1$	$4.469$	\(\Q(\sqrt{-1}) \)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{4}]$	\(q+2iq^{2}-4q^{4}-6iq^{5}-8iq^{8}-9iq^{9}+\cdots\)
164.3.e.c	$164$	$3$	164.e	164.e	$4$	$76$	$38$	$4.469$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
164.3.h.a	$164$	$3$	164.h	41.e	$8$	$28$	$7$	$4.469$		$_{}$	None	None		$2$	$0$	\(0\)	\(-8\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{8}]$
164.3.j.a	$164$	$3$	164.j	164.j	$10$	$160$	$40$	$4.469$		$_{}$	None	None		$4$	$0$	\(-3\)	\(0\)	\(-10\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
164.3.l.a	$164$	$3$	164.l	164.l	$10$	$160$	$40$	$4.469$		$_{}$	None	None		$4$	$0$	\(-3\)	\(0\)	\(-2\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
164.3.n.a	$164$	$3$	164.n	164.n	$20$	$8$	$1$	$4.469$	\(\Q(\zeta_{20})\)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{20}]$	\(q-2\zeta_{20}^{3}q^{2}+4\zeta_{20}^{6}q^{4}+(-4+3\zeta_{20}+\cdots)q^{5}+\cdots\)
164.3.n.b	$164$	$3$	164.n	164.n	$20$	$8$	$1$	$4.469$	\(\Q(\zeta_{20})\)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{20}]$	\(q+2\zeta_{20}^{3}q^{2}+4\zeta_{20}^{6}q^{4}+(4+3\zeta_{20}+\cdots)q^{5}+\cdots\)
164.3.n.c	$164$	$3$	164.n	164.n	$20$	$304$	$38$	$4.469$		$_{}$	None	None		$4$	$0$	\(-10\)	\(0\)	\(-20\)	\(0\)			$\mathrm{SU}(2)[C_{20}]$
164.3.p.a	$164$	$3$	164.p	41.h	$40$	$112$	$7$	$4.469$		$_{}$	None	None		$2$	$0$	\(0\)	\(8\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{40}]$
164.4.a.a	$164$	$4$	164.a	1.a	$1$	$3$	$3$	$9.676$	3.3.4344.1	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-10\)	\(0\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{3}+(-3+\beta _{1}-\beta _{2})q^{5}+\cdots\)
164.4.a.b	$164$	$4$	164.a	1.a	$1$	$7$	$7$	$9.676$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(4\)	\(10\)	\(0\)	$+$	$2^{7}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{2})q^{3}+(2-\beta _{2}-\beta _{3})q^{5}+(1+\cdots)q^{7}+\cdots\)
164.4.b.a	$164$	$4$	164.b	41.b	$2$	$10$	$10$	$9.676$	\(\mathbb{Q}[x]/(x^{10} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{18}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{3}-\beta _{3}q^{5}+(-\beta _{1}+\beta _{2})q^{7}+\cdots\)
164.4.f.a	$164$	$4$	164.f	41.c	$4$	$22$	$11$	$9.676$		$_{}$	None	None		$2$	$0$	\(0\)	\(2\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
164.4.g.a	$164$	$4$	164.g	41.d	$5$	$40$	$10$	$9.676$		$_{}$	None	None		$2$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{5}]$
164.4.i.a	$164$	$4$	164.i	164.i	$8$	$4$	$1$	$9.676$	\(\Q(\zeta_{8})\)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-8\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{8}]$	\(q+(-2-2\zeta_{8}^{2})q^{2}+8\zeta_{8}^{2}q^{4}+4\zeta_{8}^{3}q^{5}+\cdots\)
164.4.i.b	$164$	$4$	164.i	164.i	$8$	$240$	$60$	$9.676$		$_{}$	None	None		$4$	$0$	\(4\)	\(0\)	\(-8\)	\(0\)			$\mathrm{SU}(2)[C_{8}]$
164.4.k.a	$164$	$4$	164.k	41.f	$10$	$40$	$10$	$9.676$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
164.4.m.a	$164$	$4$	164.m	41.g	$20$	$88$	$11$	$9.676$		$_{}$	None	None		$2$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{20}]$
164.4.o.a	$164$	$4$	164.o	164.o	$40$	$16$	$1$	$9.676$	\(\Q(\zeta_{40})\)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(8\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{40}]$	\(q+(-2\zeta_{40}^{2}+2\zeta_{40}^{6}-2\zeta_{40}^{8}-2\zeta_{40}^{10}+\cdots)q^{2}+\cdots\)
164.4.o.b	$164$	$4$	164.o	164.o	$40$	$960$	$60$	$9.676$		$_{}$	None	None		$4$	$0$	\(-24\)	\(0\)	\(-32\)	\(0\)			$\mathrm{SU}(2)[C_{40}]$
164.5.c.a	$164$	$5$	164.c	4.b	$2$	$80$	$80$	$16.953$		$_{}$	None	None		$2$	$0$	\(6\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
164.5.d.a	$164$	$5$	164.d	164.d	$2$	$2$	$2$	$16.953$	\(\Q(\sqrt{41}) \)	$_{}$	\(\Q(\sqrt{-41}) \)	None	✓	$2$	$0$	\(-8\)	\(-22\)	\(0\)	\(138\)		$2$	$\mathrm{U}(1)[D_{2}]$	\(q-4q^{2}+(-11-\beta )q^{3}+2^{4}q^{4}+6\beta q^{5}+\cdots\)
164.5.d.b	$164$	$5$	164.d	164.d	$2$	$2$	$2$	$16.953$	\(\Q(\sqrt{-1}) \)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-8\)	\(0\)	\(28\)	\(0\)		$2^{4}\cdot 3\cdot 5$	$\mathrm{U}(1)[D_{2}]$	\(q-4q^{2}+2^{4}q^{4}+14q^{5}-2^{6}q^{8}-3^{4}q^{9}+\cdots\)
164.5.d.c	$164$	$5$	164.d	164.d	$2$	$2$	$2$	$16.953$	\(\Q(\sqrt{41}) \)	$_{}$	\(\Q(\sqrt{-41}) \)	None	✓	$2$	$0$	\(-8\)	\(22\)	\(0\)	\(-138\)		$2$	$\mathrm{U}(1)[D_{2}]$	\(q-4q^{2}+(11-\beta )q^{3}+2^{4}q^{4}-6\beta q^{5}+\cdots\)
164.5.d.d	$164$	$5$	164.d	164.d	$2$	$2$	$2$	$16.953$	\(\Q(\sqrt{2}) \)	$_{}$	\(\Q(\sqrt{-41}) \)	None	✓	$4$	$0$	\(8\)	\(0\)	\(-64\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{2}+11\beta q^{3}+2^{4}q^{4}-2^{5}q^{5}+\cdots\)
164.5.d.e	$164$	$5$	164.d	164.d	$2$	$2$	$2$	$16.953$	\(\Q(\sqrt{82}) \)	$_{}$	\(\Q(\sqrt{-41}) \)	None	✓	$4$	$0$	\(8\)	\(0\)	\(64\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{2}+\beta q^{3}+2^{4}q^{4}+2^{5}q^{5}+4\beta q^{6}+\cdots\)
164.5.d.f	$164$	$5$	164.d	164.d	$2$	$72$	$72$	$16.953$		$_{}$	None	None		$4$	$0$	\(6\)	\(0\)	\(-8\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
164.5.h.a	$164$	$5$	164.h	41.e	$8$	$56$	$14$	$16.953$		$_{}$	None	None		$2$	$0$	\(0\)	\(16\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{8}]$
164.6.a.a	$164$	$6$	164.a	1.a	$1$	$6$	$6$	$26.303$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-8\)	\(-68\)	\(88\)	$+$	$2^{6}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{3})q^{3}+(-11+\beta _{2})q^{5}+(14+\cdots)q^{7}+\cdots\)
164.6.a.b	$164$	$6$	164.a	1.a	$1$	$10$	$10$	$26.303$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(10\)	\(32\)	\(88\)	$-$	$2^{11}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{3}+(3+\beta _{3})q^{5}+(9+2\beta _{1}+\cdots)q^{7}+\cdots\)
164.6.b.a	$164$	$6$	164.b	41.b	$2$	$18$	$18$	$26.303$	\(\mathbb{Q}[x]/(x^{18} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-72\)	\(0\)		$2^{57}\cdot 3^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{3}+(-4-\beta _{3})q^{5}+(\beta _{1}+\beta _{12}+\cdots)q^{7}+\cdots\)