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Results (1-50 of 67 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
395.1.c.a	$395$	$1$	395.c	395.c	$2$	$1$	$1$	$0.197$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-79}) \), \(\Q(\sqrt{-395}) \)	\(\Q(\sqrt{5}) \)	✓	✓			395.1.c.a	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$1$		\(q+q^{4}+q^{5}-q^{9}-2q^{11}+q^{16}-2q^{19}+\cdots\)
395.1.c.b	$395$	$1$	395.c	395.c	$2$	$2$	$2$	$0.197$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-395}) \)	None	✓	✓			395.1.c.b	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$1$		\(q-\beta q^{3}+q^{4}-q^{5}+\beta q^{7}+q^{9}-\beta q^{12}+\cdots\)
395.1.c.c	$395$	$1$	395.c	395.c	$2$	$4$	$4$	$0.197$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-79}) \)	None		✓	✓		395.1.c.c	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)		$1$		\(q+(\zeta_{10}+\zeta_{10}^{4})q^{2}+(-1+\zeta_{10}^{2}-\zeta_{10}^{3}+\cdots)q^{4}+\cdots\)
395.2.a.a	$395$	$2$	395.a	1.a	$1$	$1$	$1$	$3.154$	\(\Q\)	$_{}$	None	None	✓	✓			395.2.a.a	$1$	$0$	\(-2\)	\(-1\)	\(1\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}+3q^{7}+\cdots\)
395.2.a.b	$395$	$2$	395.a	1.a	$1$	$1$	$1$	$3.154$	\(\Q\)	$_{}$	None	None	✓	✓			395.2.a.b	$1$	$0$	\(-1\)	\(0\)	\(1\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+q^{5}-4q^{7}+3q^{8}-3q^{9}+\cdots\)
395.2.a.c	$395$	$2$	395.a	1.a	$1$	$1$	$1$	$3.154$	\(\Q\)	$_{}$	None	None	✓	✓			395.2.a.c	$1$	$0$	\(-1\)	\(2\)	\(1\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}-q^{4}+q^{5}-2q^{6}+2q^{7}+\cdots\)
395.2.a.d	$395$	$2$	395.a	1.a	$1$	$3$	$3$	$3.154$	\(\Q(\zeta_{14})^+\)	$_{}$	None	None	✓	✓	✓	✓	395.2.a.d	$1$	$1$	\(-2\)	\(-2\)	\(3\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{2}+(-1+\beta _{1})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots\)
395.2.a.e	$395$	$2$	395.a	1.a	$1$	$3$	$3$	$3.154$	\(\Q(\zeta_{18})^+\)	$_{}$	None	None	✓	✓	✓	✓	395.2.a.e	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(\beta _{1}-\beta _{2})q^{3}+\beta _{2}q^{4}-q^{5}+\cdots\)
395.2.a.f	$395$	$2$	395.a	1.a	$1$	$3$	$3$	$3.154$	3.3.564.1	$_{}$	None	None	✓	✓			395.2.a.f	$1$	$0$	\(6\)	\(1\)	\(3\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+\beta _{1}q^{3}+2q^{4}+q^{5}+2\beta _{1}q^{6}+\cdots\)
395.2.a.g	$395$	$2$	395.a	1.a	$1$	$4$	$4$	$3.154$	4.4.10273.1	$_{}$	None	None	✓	✓	✓		395.2.a.g	$1$	$0$	\(1\)	\(2\)	\(4\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{2}+(1+\beta _{2}-\beta _{3})q^{3}+(3-2\beta _{1}+\cdots)q^{4}+\cdots\)
395.2.a.h	$395$	$2$	395.a	1.a	$1$	$11$	$11$	$3.154$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	$_{}$	None	None	✓	✓	✓	✓	395.2.a.h	$1$	$0$	\(0\)	\(-2\)	\(-11\)	\(7\)	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{4}q^{3}+(2+\beta _{2})q^{4}-q^{5}+\cdots\)
395.2.b.a	$395$	$2$	395.b	5.b	$2$	$2$	$2$	$3.154$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		✓			395.2.b.a	$2$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{3}+2q^{4}+(-1+2i)q^{5}-iq^{7}+\cdots\)
395.2.b.b	$395$	$2$	395.b	5.b	$2$	$12$	$12$	$3.154$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	$_{}$	None	None		✓			395.2.b.b	$2$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{10}q^{2}-\beta _{1}q^{3}+(-1+\beta _{2})q^{4}+\cdots\)
395.2.b.c	$395$	$2$	395.b	5.b	$2$	$24$	$24$	$3.154$		$_{}$	None	None		✓	✓		395.2.b.c	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
395.2.e.a	$395$	$2$	395.e	79.c	$3$	$2$	$1$	$3.154$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		✓			395.2.e.a	$2$	$1$	\(-2\)	\(-2\)	\(1\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-2+2\zeta_{6})q^{2}+(-2+2\zeta_{6})q^{3}+\cdots\)
395.2.e.b	$395$	$2$	395.e	79.c	$3$	$24$	$12$	$3.154$		$_{}$	None	None		✓			395.2.e.b	$2$	$0$	\(5\)	\(2\)	\(12\)	\(3\)			$\mathrm{SU}(2)[C_{3}]$
395.2.e.c	$395$	$2$	395.e	79.c	$3$	$26$	$13$	$3.154$		$_{}$	None	None		✓	✓		395.2.e.c	$2$	$0$	\(-1\)	\(-2\)	\(-13\)	\(-7\)			$\mathrm{SU}(2)[C_{3}]$
395.2.f.a	$395$	$2$	395.f	395.f	$4$	$12$	$6$	$3.154$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	$_{}$	None	None		✓			395.2.f.a	$4$	$0$	\(0\)	\(0\)	\(-12\)	\(0\)		$2^{4}$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{6}q^{2}-\beta _{1}q^{3}+(\beta _{4}-\beta _{10})q^{4}+(-1+\cdots)q^{5}+\cdots\)
395.2.f.b	$395$	$2$	395.f	395.f	$4$	$20$	$10$	$3.154$	20.0.\(\cdots\).1	$_{}$	\(\Q(\sqrt{-79}) \)	None		✓			395.2.f.b	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2\cdot 5^{2}$	$\mathrm{U}(1)[D_{4}]$	\(q+\beta _{16}q^{2}+(2\beta _{2}+\beta _{14})q^{4}-\beta _{4}q^{5}+\cdots\)
395.2.f.c	$395$	$2$	395.f	395.f	$4$	$44$	$22$	$3.154$		$_{}$	None	None		✓	✓		395.2.f.c	$4$	$0$	\(-4\)	\(0\)	\(8\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
395.2.j.a	$395$	$2$	395.j	395.j	$6$	$8$	$4$	$3.154$	8.0.592240896.1	$_{}$	None	None		✓			395.2.j.a	$4$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+\beta _{1}q^{2}+\beta _{2}q^{3}+(1-2\beta _{3}+\beta _{4}+\beta _{6}+\cdots)q^{4}+\cdots\)
395.2.j.b	$395$	$2$	395.j	395.j	$6$	$68$	$34$	$3.154$		$_{}$	None	None		✓	✓		395.2.j.b	$4$	$0$	\(0\)	\(0\)	\(-5\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
395.2.l.a	$395$	$2$	395.l	395.l	$12$	$4$	$1$	$3.154$	\(\Q(\zeta_{12})\)	$_{}$	None	None		✓			395.2.l.a	$4$	$0$	\(-2\)	\(6\)	\(-2\)	\(-6\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(-1-\zeta_{12}+\zeta_{12}^{2})q^{2}+(1+\zeta_{12}+\cdots)q^{3}+\cdots\)
395.2.l.b	$395$	$2$	395.l	395.l	$12$	$4$	$1$	$3.154$	\(\Q(\zeta_{12})\)	$_{}$	None	None		✓			395.2.l.b	$4$	$0$	\(0\)	\(6\)	\(4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(1+\zeta_{12}+\zeta_{12}^{2}-2\zeta_{12}^{3})q^{3}+(-2\zeta_{12}+\cdots)q^{4}+\cdots\)
395.2.l.c	$395$	$2$	395.l	395.l	$12$	$144$	$36$	$3.154$		$_{}$	None	None		✓	✓		395.2.l.c	$4$	$0$	\(0\)	\(-18\)	\(-4\)	\(12\)			$\mathrm{SU}(2)[C_{12}]$
395.2.m.a	$395$	$2$	395.m	79.e	$13$	$168$	$14$	$3.154$		$_{}$	None	None		✓			395.2.m.a	$2$	$0$	\(-4\)	\(-6\)	\(-14\)	\(-12\)			$\mathrm{SU}(2)[C_{13}]$
395.2.m.b	$395$	$2$	395.m	79.e	$13$	$168$	$14$	$3.154$		$_{}$	None	None		✓			395.2.m.b	$2$	$0$	\(0\)	\(2\)	\(14\)	\(-4\)			$\mathrm{SU}(2)[C_{13}]$
395.2.p.a	$395$	$2$	395.p	395.p	$26$	$456$	$38$	$3.154$		$_{}$	None	None		✓	✓	✓	395.2.p.a	$4$	$0$	\(0\)	\(0\)	\(-11\)	\(0\)			$\mathrm{SU}(2)[C_{26}]$
395.2.q.a	$395$	$2$	395.q	79.g	$39$	$312$	$13$	$3.154$		$_{}$	None	None		✓			395.2.q.a	$2$	$0$	\(-3\)	\(0\)	\(-13\)	\(-1\)			$\mathrm{SU}(2)[C_{39}]$
395.2.q.b	$395$	$2$	395.q	79.g	$39$	$312$	$13$	$3.154$		$_{}$	None	None		✓			395.2.q.b	$2$	$0$	\(1\)	\(2\)	\(13\)	\(7\)			$\mathrm{SU}(2)[C_{39}]$
395.2.s.a	$395$	$2$	395.s	395.s	$52$	$912$	$38$	$3.154$		$_{}$	None	None		✓	✓	✓	395.2.s.a	$4$	$0$	\(-22\)	\(-26\)	\(-22\)	\(-26\)			$\mathrm{SU}(2)[C_{52}]$
395.2.t.a	$395$	$2$	395.t	395.t	$78$	$912$	$38$	$3.154$		$_{}$	None	None		✓	✓	✓	395.2.t.a	$4$	$0$	\(0\)	\(0\)	\(-25\)	\(0\)			$\mathrm{SU}(2)[C_{78}]$
395.2.w.a	$395$	$2$	395.w	395.w	$156$	$1824$	$38$	$3.154$		$_{}$	None	None		✓	✓	✓	395.2.w.a	$4$	$0$	\(-50\)	\(-46\)	\(-50\)	\(-58\)			$\mathrm{SU}(2)[C_{156}]$
395.3.c.a	$395$	$3$	395.c	395.c	$2$	$4$	$4$	$10.763$	4.4.7988480.1	$_{}$	\(\Q(\sqrt{-395}) \)	None	✓	✓			395.3.c.a	$4$	$0$	\(0\)	\(0\)	\(-20\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{1}q^{3}+4q^{4}-5q^{5}+(-2\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
395.3.c.b	$395$	$3$	395.c	395.c	$2$	$4$	$4$	$10.763$	4.4.31600.1	$_{}$	\(\Q(\sqrt{-395}) \)	None	✓	✓			395.3.c.b	$4$	$0$	\(0\)	\(0\)	\(20\)	\(0\)		$2^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{1}q^{3}+4q^{4}+5q^{5}+(-2\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
395.3.c.c	$395$	$3$	395.c	395.c	$2$	$10$	$10$	$10.763$	10.0.\(\cdots\).1	$_{}$	\(\Q(\sqrt{-79}) \)	None		✓			395.3.c.c	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2\cdot 5^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{3}q^{2}+(-4+\beta _{2}+\beta _{4}+\beta _{6}+\beta _{9})q^{4}+\cdots\)
395.3.c.d	$395$	$3$	395.c	395.c	$2$	$60$	$60$	$10.763$		$_{}$	None	None		✓	✓		395.3.c.d	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
395.3.d.a	$395$	$3$	395.d	79.b	$2$	$4$	$4$	$10.763$	4.0.30400.1	$_{}$	None	None		✓			395.3.d.a	$2$	$0$	\(4\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+q^{2}-\beta _{2}q^{3}-3q^{4}+\beta _{3}q^{5}-\beta _{2}q^{6}+\cdots\)
395.3.d.b	$395$	$3$	395.d	79.b	$2$	$48$	$48$	$10.763$		$_{}$	None	None		✓	✓		395.3.d.b	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
395.3.g.a	$395$	$3$	395.g	5.c	$4$	$156$	$78$	$10.763$		$_{}$	None	None		✓	✓	✓	395.3.g.a	$2$	$0$	\(-4\)	\(-4\)	\(-4\)	\(12\)			$\mathrm{SU}(2)[C_{4}]$
395.3.h.a	$395$	$3$	395.h	79.d	$6$	$108$	$54$	$10.763$		$_{}$	None	None		✓	✓	✓	395.3.h.a	$2$	$0$	\(2\)	\(-6\)	\(0\)	\(-18\)			$\mathrm{SU}(2)[C_{6}]$
395.3.i.a	$395$	$3$	395.i	395.i	$6$	$156$	$78$	$10.763$		$_{}$	None	None		✓	✓	✓	395.3.i.a	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
395.3.k.a	$395$	$3$	395.k	395.k	$12$	$312$	$78$	$10.763$		$_{}$	None	None		✓	✓	✓	395.3.k.a	$4$	$0$	\(-2\)	\(-2\)	\(-2\)	\(6\)			$\mathrm{SU}(2)[C_{12}]$
395.3.n.a	$395$	$3$	395.n	79.f	$26$	$624$	$52$	$10.763$		$_{}$	None	None		✓	✓	✓	395.3.n.a	$2$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{26}]$
395.3.o.a	$395$	$3$	395.o	395.o	$26$	$936$	$78$	$10.763$		$_{}$	None	None		✓	✓	✓	395.3.o.a	$4$	$0$	\(0\)	\(0\)	\(-11\)	\(0\)			$\mathrm{SU}(2)[C_{26}]$
395.3.r.a	$395$	$3$	395.r	395.r	$52$	$1872$	$78$	$10.763$		$_{}$	None	None		✓	✓	✓	395.3.r.a	$4$	$0$	\(-22\)	\(-22\)	\(-22\)	\(-38\)			$\mathrm{SU}(2)[C_{52}]$
395.3.u.a	$395$	$3$	395.u	395.u	$78$	$1872$	$78$	$10.763$		$_{}$	None	None		✓	✓	✓	395.3.u.a	$4$	$0$	\(0\)	\(0\)	\(-25\)	\(0\)			$\mathrm{SU}(2)[C_{78}]$
395.3.v.a	$395$	$3$	395.v	79.h	$78$	$1296$	$54$	$10.763$		$_{}$	None	None		✓	✓	✓	395.3.v.a	$2$	$0$	\(-2\)	\(6\)	\(0\)	\(18\)			$\mathrm{SU}(2)[C_{78}]$
395.3.x.a	$395$	$3$	395.x	395.x	$156$	$3744$	$78$	$10.763$		$_{}$	None	None		✓	✓	✓	395.3.x.a	$4$	$0$	\(-50\)	\(-50\)	\(-50\)	\(-58\)			$\mathrm{SU}(2)[C_{156}]$
395.4.a.a	$395$	$4$	395.a	1.a	$1$	$15$	$15$	$23.306$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	$_{}$	None	None	✓	✓	✓	✓	395.4.a.a	$1$	$1$	\(0\)	\(2\)	\(-75\)	\(-24\)	$-$	$2^{5}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(2+\beta _{2})q^{4}-5q^{5}+\cdots\)