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Results (1-50 of 66 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
723.1.b.a	$723$	$1$	723.b	723.b	$2$	$1$	$1$	$0.361$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-723}) \)	\(\Q(\sqrt{241}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)		$1$		\(q-q^{3}+q^{4}+q^{9}-q^{12}+q^{16}+q^{25}+\cdots\)
723.1.g.a	$723$	$1$	723.g	723.g	$4$	$2$	$1$	$0.361$	\(\Q(\sqrt{-1}) \)	$D_{4}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$1$		\(q-iq^{3}-q^{4}+(-1-i)q^{7}-q^{9}+iq^{12}+\cdots\)
723.1.m.a	$723$	$1$	723.m	723.m	$8$	$4$	$1$	$0.361$	\(\Q(\zeta_{8})\)	$D_{8}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{8}q^{3}+\zeta_{8}^{2}q^{4}+(\zeta_{8}-\zeta_{8}^{2})q^{7}+\cdots\)
723.1.n.a	$723$	$1$	723.n	723.n	$10$	$4$	$1$	$0.361$	\(\Q(\zeta_{10})\)	$D_{5}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)		$1$		\(q+\zeta_{10}^{2}q^{3}+q^{4}+(-\zeta_{10}^{3}+\zeta_{10}^{4}+\cdots)q^{7}+\cdots\)
723.1.o.a	$723$	$1$	723.o	723.o	$10$	$4$	$1$	$0.361$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)		$1$		\(q+\zeta_{10}q^{3}+q^{4}+(-\zeta_{10}^{2}+\zeta_{10}^{4}+\cdots)q^{7}+\cdots\)
723.1.w.a	$723$	$1$	723.w	723.w	$20$	$8$	$1$	$0.361$	\(\Q(\zeta_{20})\)	$D_{20}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$1$		\(q-\zeta_{20}q^{3}-q^{4}+(-\zeta_{20}^{4}+\zeta_{20}^{7}+\cdots)q^{7}+\cdots\)
723.1.bc.a	$723$	$1$	723.bc	723.ac	$40$	$16$	$1$	$0.361$	\(\Q(\zeta_{40})\)	$D_{40}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{40}^{13}q^{3}+\zeta_{40}^{10}q^{4}+(-\zeta_{40}+\cdots)q^{7}+\cdots\)
723.2.a.a	$723$	$2$	723.a	1.a	$1$	$1$	$1$	$5.773$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-2\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}-2q^{5}+q^{6}+3q^{8}+\cdots\)
723.2.a.b	$723$	$2$	723.a	1.a	$1$	$1$	$1$	$5.773$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-2q^{7}+q^{9}-q^{11}-2q^{12}+\cdots\)
723.2.a.c	$723$	$2$	723.a	1.a	$1$	$2$	$2$	$5.773$	\(\Q(\sqrt{5}) \)	$_{}$	None	None	✓	$1$	$0$	\(2\)	\(2\)	\(4\)	\(2\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}+2q^{5}+q^{6}+(1+\beta )q^{7}+\cdots\)
723.2.a.d	$723$	$2$	723.a	1.a	$1$	$5$	$5$	$5.773$	5.5.24217.1	$_{}$	None	None	✓	$1$	$1$	\(-2\)	\(5\)	\(-8\)	\(-7\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{2}+\beta _{4})q^{2}+q^{3}-\beta _{4}q^{4}+\cdots\)
723.2.a.e	$723$	$2$	723.a	1.a	$1$	$9$	$9$	$5.773$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(3\)	\(-9\)	\(12\)	\(-5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{8})q^{5}+\cdots\)
723.2.a.f	$723$	$2$	723.a	1.a	$1$	$10$	$10$	$5.773$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-4\)	\(-10\)	\(-10\)	\(3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{9}q^{2}-q^{3}+(1+\beta _{7}-\beta _{9})q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots\)
723.2.a.g	$723$	$2$	723.a	1.a	$1$	$13$	$13$	$5.773$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(1\)	\(13\)	\(6\)	\(9\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+\beta _{7}q^{5}+\cdots\)
723.2.d.a	$723$	$2$	723.d	241.b	$2$	$4$	$4$	$5.773$	\(\Q(\sqrt{-2}, \sqrt{3})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(4\)	\(-8\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{2}+q^{3}+q^{4}+(-2+\beta _{2})q^{5}+\cdots\)
723.2.d.b	$723$	$2$	723.d	241.b	$2$	$16$	$16$	$5.773$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(-2\)	\(16\)	\(4\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{11}q^{2}+q^{3}+(1-\beta _{5}+\beta _{6}-\beta _{8}+\cdots)q^{4}+\cdots\)
723.2.d.c	$723$	$2$	723.d	241.b	$2$	$22$	$22$	$5.773$		$_{}$	None	None		$2$	$0$	\(0\)	\(-22\)	\(-4\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
723.2.e.a	$723$	$2$	723.e	241.c	$3$	$12$	$6$	$5.773$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(3\)	\(-6\)	\(-10\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(\beta _{1}+\beta _{2}-\beta _{5})q^{2}-\beta _{5}q^{3}+(\beta _{1}+\beta _{3}+\cdots)q^{4}+\cdots\)
723.2.e.b	$723$	$2$	723.e	241.c	$3$	$30$	$15$	$5.773$		$_{}$	None	None		$2$	$0$	\(-4\)	\(-15\)	\(8\)	\(5\)			$\mathrm{SU}(2)[C_{3}]$
723.2.e.c	$723$	$2$	723.e	241.c	$3$	$40$	$20$	$5.773$		$_{}$	None	None		$2$	$0$	\(-1\)	\(20\)	\(-6\)	\(2\)			$\mathrm{SU}(2)[C_{3}]$
723.2.f.a	$723$	$2$	723.f	241.d	$4$	$2$	$1$	$5.773$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-6\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q-iq^{2}-iq^{3}+q^{4}-2iq^{5}-q^{6}+\cdots\)
723.2.f.b	$723$	$2$	723.f	241.d	$4$	$2$	$1$	$5.773$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+iq^{2}+iq^{3}+q^{4}+2iq^{5}-q^{6}+\cdots\)
723.2.f.c	$723$	$2$	723.f	241.d	$4$	$4$	$2$	$5.773$	\(\Q(i, \sqrt{15})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$2$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{1}q^{2}+\beta _{1}q^{3}+q^{4}-3\beta _{1}q^{5}-q^{6}+\cdots\)
723.2.f.d	$723$	$2$	723.f	241.d	$4$	$4$	$2$	$5.773$	\(\Q(i, \sqrt{41})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(8\)		$2$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{1}q^{2}+\beta _{1}q^{3}+q^{4}+2\beta _{1}q^{5}-q^{6}+\cdots\)
723.2.f.e	$723$	$2$	723.f	241.d	$4$	$34$	$17$	$5.773$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-6\)			$\mathrm{SU}(2)[C_{4}]$
723.2.f.f	$723$	$2$	723.f	241.d	$4$	$38$	$19$	$5.773$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(6\)			$\mathrm{SU}(2)[C_{4}]$
723.2.h.a	$723$	$2$	723.h	241.e	$5$	$80$	$20$	$5.773$		$_{}$	None	None		$2$	$0$	\(2\)	\(20\)	\(0\)	\(2\)			$\mathrm{SU}(2)[C_{5}]$
723.2.h.b	$723$	$2$	723.h	241.e	$5$	$88$	$22$	$5.773$		$_{}$	None	None		$2$	$0$	\(6\)	\(-22\)	\(-8\)	\(-10\)			$\mathrm{SU}(2)[C_{5}]$
723.2.i.a	$723$	$2$	723.i	241.f	$6$	$8$	$4$	$5.773$	8.0.98188281.1	$_{}$	None	None		$2$	$0$	\(3\)	\(-4\)	\(2\)	\(-6\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(\beta _{3}-\beta _{4}+\beta _{6})q^{2}+(-1+\beta _{5})q^{3}+\cdots\)
723.2.i.b	$723$	$2$	723.i	241.f	$6$	$32$	$16$	$5.773$		$_{}$	None	None		$2$	$0$	\(-4\)	\(-16\)	\(8\)	\(12\)			$\mathrm{SU}(2)[C_{6}]$
723.2.i.c	$723$	$2$	723.i	241.f	$6$	$42$	$21$	$5.773$		$_{}$	None	None		$2$	$0$	\(3\)	\(21\)	\(-2\)	\(-3\)			$\mathrm{SU}(2)[C_{6}]$
723.2.l.a	$723$	$2$	723.l	241.g	$8$	$76$	$19$	$5.773$		$_{}$	None	None		$2$	$0$	\(-4\)	\(0\)	\(4\)	\(-4\)			$\mathrm{SU}(2)[C_{8}]$
723.2.l.b	$723$	$2$	723.l	241.g	$8$	$84$	$21$	$5.773$		$_{}$	None	None		$2$	$0$	\(4\)	\(0\)	\(-4\)	\(-4\)			$\mathrm{SU}(2)[C_{8}]$
723.2.p.a	$723$	$2$	723.p	241.h	$10$	$80$	$20$	$5.773$		$_{}$	None	None		$2$	$0$	\(2\)	\(-20\)	\(4\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
723.2.p.b	$723$	$2$	723.p	241.h	$10$	$88$	$22$	$5.773$		$_{}$	None	None		$2$	$0$	\(-10\)	\(22\)	\(4\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
723.2.r.a	$723$	$2$	723.r	241.i	$12$	$4$	$1$	$5.773$	\(\Q(\zeta_{12})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-6\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(2\zeta_{12}-2\zeta_{12}^{3})q^{2}+\zeta_{12}q^{3}+(2+\cdots)q^{4}+\cdots\)
723.2.r.b	$723$	$2$	723.r	241.i	$12$	$76$	$19$	$5.773$		$_{}$	None	None		$2$	$0$	\(-6\)	\(0\)	\(0\)	\(6\)			$\mathrm{SU}(2)[C_{12}]$
723.2.r.c	$723$	$2$	723.r	241.i	$12$	$84$	$21$	$5.773$		$_{}$	None	None		$2$	$0$	\(6\)	\(0\)	\(0\)	\(10\)			$\mathrm{SU}(2)[C_{12}]$
723.2.s.a	$723$	$2$	723.s	241.j	$15$	$160$	$20$	$5.773$		$_{}$	None	None		$2$	$0$	\(1\)	\(-20\)	\(6\)	\(-2\)			$\mathrm{SU}(2)[C_{15}]$
723.2.s.b	$723$	$2$	723.s	241.j	$15$	$168$	$21$	$5.773$		$_{}$	None	None		$2$	$0$	\(-9\)	\(21\)	\(2\)	\(-1\)			$\mathrm{SU}(2)[C_{15}]$
723.2.t.a	$723$	$2$	723.t	723.t	$16$	$624$	$78$	$5.773$		$_{}$	None	None		$4$	$0$	\(0\)	\(-8\)	\(0\)	\(-16\)			$\mathrm{SU}(2)[C_{16}]$
723.2.v.a	$723$	$2$	723.v	241.l	$20$	$160$	$20$	$5.773$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-6\)			$\mathrm{SU}(2)[C_{20}]$
723.2.v.b	$723$	$2$	723.v	241.l	$20$	$176$	$22$	$5.773$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(6\)			$\mathrm{SU}(2)[C_{20}]$
723.2.y.a	$723$	$2$	723.y	241.m	$24$	$152$	$19$	$5.773$		$_{}$	None	None		$2$	$0$	\(-8\)	\(0\)	\(-4\)	\(-8\)			$\mathrm{SU}(2)[C_{24}]$
723.2.y.b	$723$	$2$	723.y	241.m	$24$	$160$	$20$	$5.773$		$_{}$	None	None		$2$	$0$	\(8\)	\(0\)	\(4\)	\(-8\)			$\mathrm{SU}(2)[C_{24}]$
723.2.z.a	$723$	$2$	723.z	241.n	$30$	$160$	$20$	$5.773$		$_{}$	None	None		$2$	$0$	\(1\)	\(20\)	\(-10\)	\(-6\)			$\mathrm{SU}(2)[C_{30}]$
723.2.z.b	$723$	$2$	723.z	241.n	$30$	$168$	$21$	$5.773$		$_{}$	None	None		$2$	$0$	\(7\)	\(-21\)	\(2\)	\(3\)			$\mathrm{SU}(2)[C_{30}]$
723.2.bd.a	$723$	$2$	723.bd	241.o	$40$	$304$	$19$	$5.773$		$_{}$	None	None		$2$	$0$	\(4\)	\(0\)	\(-4\)	\(4\)			$\mathrm{SU}(2)[C_{40}]$
723.2.bd.b	$723$	$2$	723.bd	241.o	$40$	$336$	$21$	$5.773$		$_{}$	None	None		$2$	$0$	\(-4\)	\(0\)	\(4\)	\(4\)			$\mathrm{SU}(2)[C_{40}]$
723.2.be.a	$723$	$2$	723.be	723.ae	$48$	$16$	$1$	$5.773$	\(\Q(\zeta_{48})\)	$_{}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{48}]$	\(q+(2\zeta_{48}^{3}-\zeta_{48}^{11})q^{3}-2\zeta_{48}^{14}q^{4}+\cdots\)