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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
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
296.1.h.a	$296$	$1$	296.h	296.h	$2$	$2$	$2$	$0.148$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-74}) \)	None	✓	✓			296.1.h.a	$2$	$0$	\(-2\)	\(-1\)	\(1\)	\(0\)		$1$		\(q-q^{2}+(-1+\beta )q^{3}+q^{4}+\beta q^{5}+(1+\cdots)q^{6}+\cdots\)
296.1.h.b	$296$	$1$	296.h	296.h	$2$	$2$	$2$	$0.148$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-74}) \)	None	✓	✓			296.1.h.a	$2$	$0$	\(2\)	\(-1\)	\(-1\)	\(0\)		$1$		\(q+q^{2}+(-1+\beta )q^{3}+q^{4}-\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
296.1.k.a	$296$	$1$	296.k	37.d	$4$	$2$	$1$	$0.148$	\(\Q(\sqrt{-1}) \)	$S_{4}$	None	None		✓	✓	✓	296.1.k.a	$2$	$0$	\(0\)	\(0\)	\(-2\)	\(-2\)		$1$		\(q-i q^{3}+(-i-1)q^{5}-q^{7}-i q^{11}+\cdots\)
296.2.a.a	$296$	$2$	296.a	1.a	$1$	$1$	$1$	$2.364$	\(\Q\)	$_{}$	None	None	✓	✓	✓	✓	296.2.a.a	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}+q^{7}-2q^{9}+q^{11}-6q^{13}+\cdots\)
296.2.a.b	$296$	$2$	296.a	1.a	$1$	$1$	$1$	$2.364$	\(\Q\)	$_{}$	None	None	✓	✓	✓	✓	296.2.a.b	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{7}-2q^{9}-3q^{11}+2q^{17}+\cdots\)
296.2.a.c	$296$	$2$	296.a	1.a	$1$	$3$	$3$	$2.364$	3.3.229.1	$_{}$	None	None	✓	✓	✓	✓	296.2.a.c	$1$	$0$	\(0\)	\(2\)	\(-1\)	\(7\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}+\beta _{2}q^{5}+(2+\beta _{1}-\beta _{2})q^{7}+\cdots\)
296.2.a.d	$296$	$2$	296.a	1.a	$1$	$4$	$4$	$2.364$	4.4.48389.1	$_{}$	None	None	✓	✓	✓	✓	296.2.a.d	$1$	$0$	\(0\)	\(2\)	\(5\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(1-\beta _{3})q^{5}+(-\beta _{2}+\beta _{3})q^{7}+\cdots\)
296.2.c.a	$296$	$2$	296.c	8.b	$2$	$4$	$4$	$2.364$	\(\Q(i, \sqrt{29})\)	$_{}$	None	None		✓			296.2.c.a	$2$	$0$	\(-4\)	\(0\)	\(0\)	\(-8\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1-\beta _{2})q^{2}+\beta _{1}q^{3}+2\beta _{2}q^{4}+\cdots\)
296.2.c.b	$296$	$2$	296.c	8.b	$2$	$4$	$4$	$2.364$	\(\Q(i, \sqrt{5})\)	$_{}$	None	None		✓			296.2.c.b	$2$	$0$	\(4\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+(1+\beta _{3})q^{2}+(-\beta _{1}+\beta _{3})q^{3}+2\beta _{3}q^{4}+\cdots\)
296.2.c.c	$296$	$2$	296.c	8.b	$2$	$28$	$28$	$2.364$		$_{}$	None	None		✓	✓		296.2.c.c	$2$	$0$	\(0\)	\(0\)	\(0\)	\(8\)			$\mathrm{SU}(2)[C_{2}]$
296.2.e.a	$296$	$2$	296.e	296.e	$2$	$36$	$36$	$2.364$		$_{}$	None	None		✓	✓	✓	296.2.e.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)			$\mathrm{SU}(2)[C_{2}]$
296.2.g.a	$296$	$2$	296.g	37.b	$2$	$10$	$10$	$2.364$	10.0.\(\cdots\).1	$_{}$	None	None		✓	✓	✓	296.2.g.a	$2$	$0$	\(0\)	\(2\)	\(0\)	\(-4\)		$2^{8}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{3}-\beta _{7}q^{5}-\beta _{3}q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
296.2.i.a	$296$	$2$	296.i	37.c	$3$	$2$	$1$	$2.364$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		✓			296.2.i.a	$2$	$0$	\(0\)	\(1\)	\(-3\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+\zeta_{6}q^{3}-3\zeta_{6}q^{5}-3\zeta_{6}q^{7}+(2-2\zeta_{6})q^{9}+\cdots\)
296.2.i.b	$296$	$2$	296.i	37.c	$3$	$6$	$3$	$2.364$	6.0.591408.1	$_{}$	None	None		✓			296.2.i.b	$2$	$0$	\(0\)	\(-2\)	\(1\)	\(2\)		$2^{2}$	$\mathrm{SU}(2)[C_{3}]$	\(q+(\beta _{1}-\beta _{3}+\beta _{5})q^{3}+(\beta _{1}+\beta _{5})q^{5}+\cdots\)
296.2.i.c	$296$	$2$	296.i	37.c	$3$	$10$	$5$	$2.364$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	$_{}$	None	None		✓	✓		296.2.i.c	$2$	$0$	\(0\)	\(-1\)	\(3\)	\(3\)		$2^{4}$	$\mathrm{SU}(2)[C_{3}]$	\(q-\beta _{9}q^{3}+(\beta _{2}+\beta _{6}+\beta _{9})q^{5}+(1-\beta _{7}+\cdots)q^{7}+\cdots\)
296.2.j.a	$296$	$2$	296.j	296.j	$4$	$8$	$4$	$2.364$	8.0.\(\cdots\).12	$_{}$	None	None		✓			296.2.j.a	$4$	$0$	\(-8\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(-1+\beta _{2})q^{2}+(-\beta _{2}-\beta _{6})q^{3}-2\beta _{2}q^{4}+\cdots\)
296.2.j.b	$296$	$2$	296.j	296.j	$4$	$64$	$32$	$2.364$		$_{}$	None	None		✓	✓		296.2.j.b	$4$	$0$	\(4\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
296.2.o.a	$296$	$2$	296.o	37.e	$6$	$20$	$10$	$2.364$	\(\mathbb{Q}[x]/(x^{20} + \cdots)\)	$_{}$	None	None		✓	✓	✓	296.2.o.a	$2$	$0$	\(0\)	\(-2\)	\(6\)	\(-2\)		$2^{18}$	$\mathrm{SU}(2)[C_{6}]$	\(q+\beta _{14}q^{3}-\beta _{7}q^{5}-\beta _{10}q^{7}+(1-2\beta _{1}+\cdots)q^{9}+\cdots\)
296.2.q.a	$296$	$2$	296.q	296.q	$6$	$72$	$36$	$2.364$		$_{}$	None	None		✓	✓	✓	296.2.q.a	$4$	$0$	\(-6\)	\(0\)	\(0\)	\(2\)			$\mathrm{SU}(2)[C_{6}]$
296.2.s.a	$296$	$2$	296.s	296.s	$6$	$72$	$36$	$2.364$		$_{}$	None	None		✓	✓	✓	296.2.s.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-6\)			$\mathrm{SU}(2)[C_{6}]$
296.2.u.a	$296$	$2$	296.u	37.f	$9$	$24$	$4$	$2.364$		$_{}$	None	None		✓			296.2.u.a	$2$	$0$	\(0\)	\(0\)	\(3\)	\(-3\)			$\mathrm{SU}(2)[C_{9}]$
296.2.u.b	$296$	$2$	296.u	37.f	$9$	$30$	$5$	$2.364$		$_{}$	None	None		✓	✓		296.2.u.b	$2$	$0$	\(0\)	\(0\)	\(-6\)	\(-3\)			$\mathrm{SU}(2)[C_{9}]$
296.2.y.a	$296$	$2$	296.y	296.y	$12$	$4$	$1$	$2.364$	\(\Q(\zeta_{12})\)	$_{}$	None	None		✓			296.2.y.a	$2$	$1$	\(-4\)	\(-6\)	\(-2\)	\(-6\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(-1+\zeta_{12}^{3})q^{2}+(-1-\zeta_{12}-\zeta_{12}^{2}+\cdots)q^{3}+\cdots\)
296.2.y.b	$296$	$2$	296.y	296.y	$12$	$4$	$1$	$2.364$	\(\Q(\zeta_{12})\)	$_{}$	None	None		✓			296.2.y.a	$2$	$0$	\(2\)	\(-6\)	\(2\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(1-\zeta_{12}-\zeta_{12}^{2})q^{2}+(-1-\zeta_{12}+\cdots)q^{3}+\cdots\)
296.2.y.c	$296$	$2$	296.y	296.y	$12$	$136$	$34$	$2.364$		$_{}$	None	None		✓	✓		296.2.y.c	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{12}]$
296.2.ba.a	$296$	$2$	296.ba	37.h	$18$	$60$	$10$	$2.364$		$_{}$	None	None		✓	✓	✓	296.2.ba.a	$2$	$0$	\(0\)	\(0\)	\(-6\)	\(6\)			$\mathrm{SU}(2)[C_{18}]$
296.2.bc.a	$296$	$2$	296.bc	296.ac	$18$	$216$	$36$	$2.364$		$_{}$	None	None		✓	✓	✓	296.2.bc.a	$4$	$0$	\(-9\)	\(0\)	\(0\)	\(-12\)			$\mathrm{SU}(2)[C_{18}]$
296.2.bf.a	$296$	$2$	296.bf	296.af	$18$	$216$	$36$	$2.364$		$_{}$	None	None		✓	✓	✓	296.2.bf.a	$4$	$0$	\(-3\)	\(0\)	\(0\)	\(-12\)			$\mathrm{SU}(2)[C_{18}]$
296.2.bj.a	$296$	$2$	296.bj	296.aj	$36$	$432$	$36$	$2.364$		$_{}$	None	None		✓	✓	✓	296.2.bj.a	$4$	$0$	\(-12\)	\(-24\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{36}]$
296.3.f.a	$296$	$3$	296.f	8.d	$2$	$72$	$72$	$8.065$		$_{}$	None	None		✓	✓	✓	296.3.f.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
296.3.h.a	$296$	$3$	296.h	296.h	$2$	$5$	$5$	$8.065$	5.5.273800000.1	$_{}$	\(\Q(\sqrt{-74}) \)	None	✓	✓			296.3.h.a	$2$	$0$	\(-10\)	\(0\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}+\beta _{2}q^{3}+4q^{4}+\beta _{4}q^{5}-2\beta _{2}q^{6}+\cdots\)
296.3.h.b	$296$	$3$	296.h	296.h	$2$	$5$	$5$	$8.065$	5.5.273800000.1	$_{}$	\(\Q(\sqrt{-74}) \)	None	✓	✓			296.3.h.a	$2$	$0$	\(10\)	\(0\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}+\beta _{2}q^{3}+4q^{4}-\beta _{4}q^{5}+2\beta _{2}q^{6}+\cdots\)
296.3.h.c	$296$	$3$	296.h	296.h	$2$	$64$	$64$	$8.065$		$_{}$	None	None		✓	✓		296.3.h.c	$4$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
296.3.k.a	$296$	$3$	296.k	37.d	$4$	$18$	$9$	$8.065$	\(\mathbb{Q}[x]/(x^{18} + \cdots)\)	$_{}$	None	None		✓			296.3.k.a	$2$	$0$	\(0\)	\(0\)	\(-2\)	\(8\)		$2^{7}$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{1}q^{3}+\beta _{12}q^{5}-\beta _{4}q^{7}+(-2+\beta _{2}+\cdots)q^{9}+\cdots\)
296.3.k.b	$296$	$3$	296.k	37.d	$4$	$20$	$10$	$8.065$	\(\mathbb{Q}[x]/(x^{20} + \cdots)\)	$_{}$	None	None		✓	✓		296.3.k.b	$2$	$0$	\(0\)	\(0\)	\(4\)	\(-8\)		$2^{9}$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{1}q^{3}+\beta _{16}q^{5}+\beta _{4}q^{7}+(-4-\beta _{2}+\cdots)q^{9}+\cdots\)
296.3.m.a	$296$	$3$	296.m	296.m	$4$	$148$	$74$	$8.065$		$_{}$	None	None		✓	✓	✓	296.3.m.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)			$\mathrm{SU}(2)[C_{4}]$
296.3.n.a	$296$	$3$	296.n	296.n	$6$	$148$	$74$	$8.065$		$_{}$	None	None		✓	✓	✓	296.3.n.a	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
296.3.p.a	$296$	$3$	296.p	296.p	$6$	$148$	$74$	$8.065$		$_{}$	None	None		✓	✓	✓	296.3.p.a	$4$	$0$	\(-2\)	\(-2\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
296.3.v.a	$296$	$3$	296.v	296.v	$12$	$296$	$74$	$8.065$		$_{}$	None	None		✓	✓	✓	296.3.v.a	$4$	$0$	\(-6\)	\(0\)	\(0\)	\(-4\)			$\mathrm{SU}(2)[C_{12}]$
296.3.x.a	$296$	$3$	296.x	37.g	$12$	$36$	$9$	$8.065$		$_{}$	None	None		✓			296.3.x.a	$2$	$0$	\(0\)	\(0\)	\(14\)	\(-8\)			$\mathrm{SU}(2)[C_{12}]$
296.3.x.b	$296$	$3$	296.x	37.g	$12$	$40$	$10$	$8.065$		$_{}$	None	None		✓	✓		296.3.x.b	$2$	$0$	\(0\)	\(0\)	\(2\)	\(8\)			$\mathrm{SU}(2)[C_{12}]$
296.3.z.a	$296$	$3$	296.z	296.z	$18$	$444$	$74$	$8.065$		$_{}$	None	None		✓	✓	✓	296.3.z.a	$4$	$0$	\(-9\)	\(-12\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{18}]$
296.3.bb.a	$296$	$3$	296.bb	296.ab	$18$	$444$	$74$	$8.065$		$_{}$	None	None		✓	✓	✓	296.3.bb.a	$4$	$0$	\(-3\)	\(-12\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{18}]$
296.3.bg.a	$296$	$3$	296.bg	296.ag	$36$	$888$	$74$	$8.065$		$_{}$	None	None		✓	✓	✓	296.3.bg.a	$4$	$0$	\(-12\)	\(0\)	\(0\)	\(-24\)			$\mathrm{SU}(2)[C_{36}]$
296.3.bi.a	$296$	$3$	296.bi	37.i	$36$	$108$	$9$	$8.065$		$_{}$	None	None		✓			296.3.bi.a	$2$	$0$	\(0\)	\(0\)	\(-12\)	\(0\)			$\mathrm{SU}(2)[C_{36}]$
296.3.bi.b	$296$	$3$	296.bi	37.i	$36$	$120$	$10$	$8.065$		$_{}$	None	None		✓	✓		296.3.bi.b	$2$	$0$	\(0\)	\(0\)	\(-6\)	\(0\)			$\mathrm{SU}(2)[C_{36}]$
296.4.a.a	$296$	$4$	296.a	1.a	$1$	$5$	$5$	$17.465$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	$_{}$	None	None	✓	✓	✓	✓	296.4.a.a	$1$	$1$	\(0\)	\(-2\)	\(-17\)	\(-9\)	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(-3-\beta _{1}+\beta _{4})q^{5}+(-3+\cdots)q^{7}+\cdots\)
296.4.a.b	$296$	$4$	296.a	1.a	$1$	$6$	$6$	$17.465$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	$_{}$	None	None	✓	✓	✓	✓	296.4.a.b	$1$	$1$	\(0\)	\(-6\)	\(-3\)	\(-25\)	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{3}+(-1+\beta _{1}+\beta _{2})q^{5}+\cdots\)
296.4.a.c	$296$	$4$	296.a	1.a	$1$	$8$	$8$	$17.465$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	$_{}$	None	None	✓	✓	✓	✓	296.4.a.c	$1$	$0$	\(0\)	\(3\)	\(-8\)	\(45\)	$+$	$2^{5}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1+\beta _{3})q^{5}+(6+\beta _{1}-\beta _{4}+\cdots)q^{7}+\cdots\)
296.4.a.d	$296$	$4$	296.a	1.a	$1$	$8$	$8$	$17.465$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	$_{}$	None	None	✓	✓	✓	✓	296.4.a.d	$1$	$0$	\(0\)	\(7\)	\(18\)	\(-23\)	$+$	$2^{5}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}+(2-\beta _{4})q^{5}+(-3+\beta _{2}+\cdots)q^{7}+\cdots\)

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