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Results (1-50 of 94 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
403.1.p.a	$403$	$1$	403.p	403.p	$6$	$4$	$2$	$0.201$	\(\Q(\zeta_{12})\)	$A_{4}$	None	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(2\)		$1$		\(q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{5}q^{3}+\zeta_{12}q^{6}-\zeta_{12}^{4}q^{7}+\cdots\)
403.2.a.a	$403$	$2$	403.a	1.a	$1$	$2$	$2$	$3.218$	\(\Q(\sqrt{5}) \)	$_{}$	None	None	✓	$1$	$0$	\(3\)	\(-4\)	\(0\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}-2q^{3}+3\beta q^{4}+(-1+2\beta )q^{5}+\cdots\)
403.2.a.b	$403$	$2$	403.a	1.a	$1$	$6$	$6$	$3.218$	6.6.5748973.1	$_{}$	None	None	✓	$1$	$1$	\(-2\)	\(-5\)	\(-9\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{4}q^{2}+(-1+\beta _{1})q^{3}+(1-\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\)
403.2.a.c	$403$	$2$	403.a	1.a	$1$	$7$	$7$	$3.218$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(2\)	\(5\)	\(11\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{2}+(1-\beta _{1})q^{3}+(\beta _{1}+\beta _{4}+\beta _{6})q^{4}+\cdots\)
403.2.a.d	$403$	$2$	403.a	1.a	$1$	$8$	$8$	$3.218$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-5\)	\(-3\)	\(-15\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}-\beta _{6}q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
403.2.a.e	$403$	$2$	403.a	1.a	$1$	$8$	$8$	$3.218$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(-1\)	\(7\)	\(11\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
403.2.c.a	$403$	$2$	403.c	13.b	$2$	$2$	$2$	$3.218$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(4\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+2q^{3}+2q^{4}+4iq^{5}-2iq^{7}+q^{9}+\cdots\)
403.2.c.b	$403$	$2$	403.c	13.b	$2$	$32$	$32$	$3.218$		$_{}$	None	None		$2$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
403.2.e.a	$403$	$2$	403.e	403.e	$3$	$70$	$35$	$3.218$		$_{}$	None	None		$2$	$0$	\(-2\)	\(4\)	\(-2\)	\(8\)			$\mathrm{SU}(2)[C_{3}]$
403.2.f.a	$403$	$2$	403.f	13.c	$3$	$2$	$1$	$3.218$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$1$	\(-1\)	\(0\)	\(-6\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-1+\zeta_{6})q^{2}+\zeta_{6}q^{4}-3q^{5}-2\zeta_{6}q^{7}+\cdots\)
403.2.f.b	$403$	$2$	403.f	13.c	$3$	$34$	$17$	$3.218$		$_{}$	None	None		$2$	$0$	\(4\)	\(0\)	\(-14\)	\(6\)			$\mathrm{SU}(2)[C_{3}]$
403.2.f.c	$403$	$2$	403.f	13.c	$3$	$36$	$18$	$3.218$		$_{}$	None	None		$2$	$0$	\(-5\)	\(0\)	\(12\)	\(-4\)			$\mathrm{SU}(2)[C_{3}]$
403.2.g.a	$403$	$2$	403.g	403.g	$3$	$70$	$35$	$3.218$		$_{}$	None	None		$2$	$0$	\(-2\)	\(-8\)	\(-2\)	\(-4\)			$\mathrm{SU}(2)[C_{3}]$
403.2.h.a	$403$	$2$	403.h	31.c	$3$	$30$	$15$	$3.218$		$_{}$	None	None		$2$	$0$	\(-6\)	\(-2\)	\(7\)	\(6\)			$\mathrm{SU}(2)[C_{3}]$
403.2.h.b	$403$	$2$	403.h	31.c	$3$	$34$	$17$	$3.218$		$_{}$	None	None		$2$	$0$	\(6\)	\(-2\)	\(-5\)	\(-2\)			$\mathrm{SU}(2)[C_{3}]$
403.2.i.a	$403$	$2$	403.i	403.i	$4$	$68$	$34$	$3.218$		$_{}$	None	None		$4$	$0$	\(-4\)	\(0\)	\(-4\)	\(8\)			$\mathrm{SU}(2)[C_{4}]$
403.2.k.a	$403$	$2$	403.k	31.d	$5$	$4$	$1$	$3.218$	\(\Q(\zeta_{10})\)	$_{}$	None	None		$2$	$1$	\(-2\)	\(-1\)	\(-6\)	\(-7\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+(-1+\zeta_{10}-\zeta_{10}^{2})q^{2}+(1-2\zeta_{10}+\cdots)q^{3}+\cdots\)
403.2.k.b	$403$	$2$	403.k	31.d	$5$	$4$	$1$	$3.218$	\(\Q(\zeta_{10})\)	$_{}$	None	None		$2$	$0$	\(-1\)	\(-2\)	\(-4\)	\(1\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q-\zeta_{10}q^{2}+(-2+2\zeta_{10}-2\zeta_{10}^{2}+\cdots)q^{3}+\cdots\)
403.2.k.c	$403$	$2$	403.k	31.d	$5$	$4$	$1$	$3.218$	\(\Q(\zeta_{10})\)	$_{}$	None	None		$2$	$0$	\(-1\)	\(3\)	\(6\)	\(-9\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+(-1+2\zeta_{10}-\zeta_{10}^{2})q^{2}+(1-\zeta_{10}^{3})q^{3}+\cdots\)
403.2.k.d	$403$	$2$	403.k	31.d	$5$	$48$	$12$	$3.218$		$_{}$	None	None		$2$	$0$	\(7\)	\(-2\)	\(-12\)	\(25\)			$\mathrm{SU}(2)[C_{5}]$
403.2.k.e	$403$	$2$	403.k	31.d	$5$	$68$	$17$	$3.218$		$_{}$	None	None		$2$	$0$	\(-3\)	\(-2\)	\(12\)	\(2\)			$\mathrm{SU}(2)[C_{5}]$
403.2.l.a	$403$	$2$	403.l	403.l	$6$	$2$	$1$	$3.218$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(1\)	\(-3\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(1-2\zeta_{6})q^{2}+\zeta_{6}q^{3}-q^{4}+(-1+\cdots)q^{5}+\cdots\)
403.2.l.b	$403$	$2$	403.l	403.l	$6$	$2$	$1$	$3.218$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(1\)	\(3\)	\(3\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(-1+2\zeta_{6})q^{2}+\zeta_{6}q^{3}-q^{4}+(1+\cdots)q^{5}+\cdots\)
403.2.l.c	$403$	$2$	403.l	403.l	$6$	$68$	$34$	$3.218$		$_{}$	None	None		$4$	$0$	\(0\)	\(-6\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
403.2.r.a	$403$	$2$	403.r	13.e	$6$	$68$	$34$	$3.218$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
403.2.s.a	$403$	$2$	403.s	403.s	$6$	$70$	$35$	$3.218$		$_{}$	None	None		$2$	$0$	\(-6\)	\(-2\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
403.2.v.a	$403$	$2$	403.v	403.v	$6$	$70$	$35$	$3.218$		$_{}$	None	None		$2$	$0$	\(-6\)	\(4\)	\(0\)	\(-12\)			$\mathrm{SU}(2)[C_{6}]$
403.2.y.a	$403$	$2$	403.y	403.y	$10$	$136$	$34$	$3.218$		$_{}$	None	None		$4$	$0$	\(0\)	\(-10\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
403.2.ba.a	$403$	$2$	403.ba	403.aa	$12$	$140$	$35$	$3.218$		$_{}$	None	None		$2$	$0$	\(-8\)	\(0\)	\(-2\)	\(12\)			$\mathrm{SU}(2)[C_{12}]$
403.2.be.a	$403$	$2$	403.be	403.ae	$12$	$4$	$1$	$3.218$	\(\Q(\zeta_{12})\)	$_{}$	None	None		$2$	$0$	\(-2\)	\(6\)	\(-2\)	\(-10\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(-1+\zeta_{12}+\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+\cdots\)
403.2.be.b	$403$	$2$	403.be	403.ae	$12$	$4$	$1$	$3.218$	\(\Q(\zeta_{12})\)	$_{}$	None	None		$2$	$0$	\(-2\)	\(6\)	\(-2\)	\(8\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(-\zeta_{12}-\zeta_{12}^{2})q^{2}+(1-\zeta_{12}+\zeta_{12}^{2}+\cdots)q^{3}+\cdots\)
403.2.be.c	$403$	$2$	403.be	403.ae	$12$	$136$	$34$	$3.218$		$_{}$	None	None		$4$	$0$	\(-4\)	\(-24\)	\(2\)	\(-2\)			$\mathrm{SU}(2)[C_{12}]$
403.2.bf.a	$403$	$2$	403.bf	403.af	$12$	$140$	$35$	$3.218$		$_{}$	None	None		$2$	$0$	\(-8\)	\(-6\)	\(-2\)	\(-12\)			$\mathrm{SU}(2)[C_{12}]$
403.2.bg.a	$403$	$2$	403.bg	403.ag	$12$	$144$	$36$	$3.218$		$_{}$	None	None		$4$	$0$	\(-8\)	\(0\)	\(-8\)	\(-16\)			$\mathrm{SU}(2)[C_{12}]$
403.2.bi.a	$403$	$2$	403.bi	31.g	$15$	$120$	$15$	$3.218$		$_{}$	None	None		$2$	$0$	\(6\)	\(2\)	\(13\)	\(-16\)			$\mathrm{SU}(2)[C_{15}]$
403.2.bi.b	$403$	$2$	403.bi	31.g	$15$	$136$	$17$	$3.218$		$_{}$	None	None		$2$	$0$	\(-6\)	\(2\)	\(-15\)	\(-8\)			$\mathrm{SU}(2)[C_{15}]$
403.2.bj.a	$403$	$2$	403.bj	403.aj	$15$	$280$	$35$	$3.218$		$_{}$	None	None		$2$	$0$	\(-3\)	\(3\)	\(-8\)	\(-1\)			$\mathrm{SU}(2)[C_{15}]$
403.2.bk.a	$403$	$2$	403.bk	403.ak	$15$	$280$	$35$	$3.218$		$_{}$	None	None		$2$	$0$	\(-3\)	\(-9\)	\(-8\)	\(-13\)			$\mathrm{SU}(2)[C_{15}]$
403.2.bl.a	$403$	$2$	403.bl	403.al	$15$	$8$	$1$	$3.218$	\(\Q(\zeta_{15})\)	$_{}$	None	None		$4$	$1$	\(-4\)	\(-5\)	\(-24\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{15}]$	\(q+(-2+\zeta_{15}+\zeta_{15}^{2}-2\zeta_{15}^{3}+2\zeta_{15}^{4}+\cdots)q^{2}+\cdots\)
403.2.bl.b	$403$	$2$	403.bl	403.al	$15$	$280$	$35$	$3.218$		$_{}$	None	None		$4$	$0$	\(1\)	\(0\)	\(-8\)	\(-2\)			$\mathrm{SU}(2)[C_{15}]$
403.2.bn.a	$403$	$2$	403.bn	403.an	$20$	$272$	$34$	$3.218$		$_{}$	None	None		$4$	$0$	\(-6\)	\(-20\)	\(-16\)	\(-18\)			$\mathrm{SU}(2)[C_{20}]$
403.2.bp.a	$403$	$2$	403.bp	403.ap	$30$	$280$	$35$	$3.218$		$_{}$	None	None		$2$	$0$	\(-9\)	\(-9\)	\(0\)	\(-3\)			$\mathrm{SU}(2)[C_{30}]$
403.2.bs.a	$403$	$2$	403.bs	403.as	$30$	$288$	$36$	$3.218$		$_{}$	None	None		$4$	$0$	\(-9\)	\(-1\)	\(0\)	\(-15\)			$\mathrm{SU}(2)[C_{30}]$
403.2.bt.a	$403$	$2$	403.bt	403.at	$30$	$280$	$35$	$3.218$		$_{}$	None	None		$2$	$0$	\(-9\)	\(-3\)	\(0\)	\(-15\)			$\mathrm{SU}(2)[C_{30}]$
403.2.bz.a	$403$	$2$	403.bz	403.az	$30$	$288$	$36$	$3.218$		$_{}$	None	None		$4$	$0$	\(0\)	\(-16\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{30}]$
403.2.cb.a	$403$	$2$	403.cb	403.bb	$60$	$576$	$36$	$3.218$		$_{}$	None	None		$4$	$0$	\(-12\)	\(-10\)	\(-32\)	\(-4\)			$\mathrm{SU}(2)[C_{60}]$
403.2.cc.a	$403$	$2$	403.cc	403.bc	$60$	$560$	$35$	$3.218$		$_{}$	None	None		$2$	$0$	\(-12\)	\(-4\)	\(-8\)	\(-8\)			$\mathrm{SU}(2)[C_{60}]$
403.2.cd.a	$403$	$2$	403.cd	403.bd	$60$	$576$	$36$	$3.218$		$_{}$	None	None		$4$	$0$	\(-12\)	\(-28\)	\(-8\)	\(-16\)			$\mathrm{SU}(2)[C_{60}]$
403.2.ch.a	$403$	$2$	403.ch	403.bh	$60$	$560$	$35$	$3.218$		$_{}$	None	None		$2$	$0$	\(-12\)	\(-10\)	\(-8\)	\(-32\)			$\mathrm{SU}(2)[C_{60}]$
403.3.b.a	$403$	$3$	403.b	403.b	$2$	$1$	$1$	$10.981$	\(\Q\)	$_{}$	\(\Q(\sqrt{-403}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{4}+9q^{9}-9q^{11}+13q^{13}+2^{4}q^{16}+\cdots\)