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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
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
184.1.e.a	$184$	$1$	184.e	184.e	$2$	$1$	$1$	$0.092$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-46}) \)	\(\Q(\sqrt{2}) \)	✓	✓			184.1.e.a	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)		$1$		\(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{18}+\cdots\)
184.1.e.b	$184$	$1$	184.e	184.e	$2$	$2$	$2$	$0.092$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-23}) \)	None		✓	✓		184.1.e.b	$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\zeta_{6}^{2}q^{2}+(\zeta_{6}+\zeta_{6}^{2})q^{3}-\zeta_{6}q^{4}+\cdots\)
184.2.a.a	$184$	$2$	184.a	1.a	$1$	$1$	$1$	$1.469$	\(\Q\)	$_{}$	None	None	✓	✓	✓	✓	184.2.a.a	$1$	$1$	\(0\)	\(-1\)	\(-4\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-4q^{5}+2q^{7}-2q^{9}-4q^{11}+\cdots\)
184.2.a.b	$184$	$2$	184.a	1.a	$1$	$1$	$1$	$1.469$	\(\Q\)	$_{}$	None	None	✓	✓	✓	✓	184.2.a.b	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}-4q^{7}-2q^{9}-2q^{11}+\cdots\)
184.2.a.c	$184$	$2$	184.a	1.a	$1$	$1$	$1$	$1.469$	\(\Q\)	$_{}$	None	None	✓	✓			184.2.a.c	$1$	$0$	\(0\)	\(0\)	\(0\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{7}-3q^{9}+6q^{11}-2q^{13}+6q^{17}+\cdots\)
184.2.a.d	$184$	$2$	184.a	1.a	$1$	$1$	$1$	$1.469$	\(\Q\)	$_{}$	None	None	✓	✓			184.2.a.d	$1$	$0$	\(0\)	\(3\)	\(0\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-2q^{7}+6q^{9}-5q^{13}-6q^{17}+\cdots\)
184.2.a.e	$184$	$2$	184.a	1.a	$1$	$2$	$2$	$1.469$	\(\Q(\sqrt{17}) \)	$_{}$	None	None	✓	✓	✓	✓	184.2.a.e	$1$	$0$	\(0\)	\(-1\)	\(4\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+2q^{5}+(1+\beta )q^{9}+2\beta q^{11}+\cdots\)
184.2.b.a	$184$	$2$	184.b	8.b	$2$	$2$	$2$	$1.469$	\(\Q(\sqrt{-2}) \)	$_{}$	None	None		✓			184.2.b.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta q^{2}-2\beta q^{3}-2q^{4}-\beta q^{5}+4q^{6}+\cdots\)
184.2.b.b	$184$	$2$	184.b	8.b	$2$	$8$	$8$	$1.469$	8.0.5198736512.1	$_{}$	None	None		✓			184.2.b.b	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{5}q^{2}-\beta _{4}q^{3}+\beta _{1}q^{4}-\beta _{6}q^{5}+\cdots\)
184.2.b.c	$184$	$2$	184.b	8.b	$2$	$12$	$12$	$1.469$	12.0.\(\cdots\).1	$_{}$	None	None		✓	✓		184.2.b.c	$2$	$0$	\(0\)	\(0\)	\(0\)	\(8\)		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{2}-\beta _{7}q^{3}+\beta _{2}q^{4}+(-\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
184.2.h.a	$184$	$2$	184.h	184.h	$2$	$4$	$4$	$1.469$	\(\Q(i, \sqrt{14})\)	$_{}$	None	None		✓			184.2.h.a	$4$	$0$	\(4\)	\(-8\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+(1-\beta _{1})q^{2}-2q^{3}-2\beta _{1}q^{4}+\beta _{3}q^{5}+\cdots\)
184.2.h.b	$184$	$2$	184.h	184.h	$2$	$6$	$6$	$1.469$	6.0.8869743.1	$_{}$	\(\Q(\sqrt{-23}) \)	None		✓			184.2.h.b	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{1}q^{2}+(\beta _{2}-\beta _{5})q^{3}+\beta _{2}q^{4}+(-1+\cdots)q^{6}+\cdots\)
184.2.h.c	$184$	$2$	184.h	184.h	$2$	$12$	$12$	$1.469$	12.0.\(\cdots\).2	$_{}$	None	None		✓	✓		184.2.h.c	$4$	$0$	\(-4\)	\(4\)	\(0\)	\(0\)		$2^{6}\cdot 23$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{2}+(1-\beta _{2}-\beta _{7})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots\)
184.2.i.a	$184$	$2$	184.i	23.c	$11$	$30$	$3$	$1.469$		$_{}$	None	None		✓			184.2.i.a	$2$	$0$	\(0\)	\(-2\)	\(2\)	\(13\)			$\mathrm{SU}(2)[C_{11}]$
184.2.i.b	$184$	$2$	184.i	23.c	$11$	$30$	$3$	$1.469$		$_{}$	None	None		✓			184.2.i.b	$2$	$0$	\(0\)	\(2\)	\(0\)	\(-13\)			$\mathrm{SU}(2)[C_{11}]$
184.2.j.a	$184$	$2$	184.j	184.j	$22$	$220$	$22$	$1.469$		$_{}$	None	None		✓	✓	✓	184.2.j.a	$4$	$0$	\(-11\)	\(-18\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
184.2.p.a	$184$	$2$	184.p	184.p	$22$	$220$	$22$	$1.469$		$_{}$	None	None		✓	✓	✓	184.2.p.a	$4$	$0$	\(-11\)	\(0\)	\(0\)	\(-22\)			$\mathrm{SU}(2)[C_{22}]$
184.3.e.a	$184$	$3$	184.e	184.e	$2$	$2$	$2$	$5.014$	\(\Q(\sqrt{23}) \)	$_{}$	\(\Q(\sqrt{-46}) \)	None	✓	✓			184.3.e.a	$4$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}+4q^{4}+\beta q^{5}-8q^{8}+9q^{9}+\cdots\)
184.3.e.b	$184$	$3$	184.e	184.e	$2$	$2$	$2$	$5.014$	\(\Q(\sqrt{2}) \)	$_{}$	\(\Q(\sqrt{-46}) \)	None	✓	✓			184.3.e.b	$4$	$0$	\(4\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}+4q^{4}+\beta q^{5}+8q^{8}+9q^{9}+\cdots\)
184.3.e.c	$184$	$3$	184.e	184.e	$2$	$6$	$6$	$5.014$	6.0.8869743.1	$_{}$	\(\Q(\sqrt{-23}) \)	None		✓			184.3.e.c	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{3}q^{2}+(-\beta _{3}-\beta _{4}+2\beta _{5})q^{3}+(-\beta _{1}+\cdots)q^{4}+\cdots\)
184.3.e.d	$184$	$3$	184.e	184.e	$2$	$36$	$36$	$5.014$		$_{}$	None	None		✓	✓		184.3.e.d	$4$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
184.3.f.a	$184$	$3$	184.f	23.b	$2$	$12$	$12$	$5.014$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	$_{}$	None	None		✓	✓	✓	184.3.f.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{14}\cdot 7^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{3}+\beta _{6}q^{5}-\beta _{9}q^{7}+(4-\beta _{1}+\cdots)q^{9}+\cdots\)
184.3.g.a	$184$	$3$	184.g	8.d	$2$	$44$	$44$	$5.014$		$_{}$	None	None		✓	✓	✓	184.3.g.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
184.3.k.a	$184$	$3$	184.k	184.k	$22$	$460$	$46$	$5.014$		$_{}$	None	None		✓	✓	✓	184.3.k.a	$4$	$0$	\(-7\)	\(-18\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
184.3.l.a	$184$	$3$	184.l	23.d	$22$	$120$	$12$	$5.014$		$_{}$	None	None		✓	✓	✓	184.3.l.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
184.3.m.a	$184$	$3$	184.m	184.m	$22$	$460$	$46$	$5.014$		$_{}$	None	None		✓	✓	✓	184.3.m.a	$4$	$0$	\(-7\)	\(0\)	\(0\)	\(-22\)			$\mathrm{SU}(2)[C_{22}]$
184.4.a.a	$184$	$4$	184.a	1.a	$1$	$1$	$1$	$10.856$	\(\Q\)	$_{}$	None	None	✓	✓			184.4.a.a	$1$	$0$	\(0\)	\(-4\)	\(22\)	\(8\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{3}+22q^{5}+8q^{7}-11q^{9}-20q^{11}+\cdots\)
184.4.a.b	$184$	$4$	184.a	1.a	$1$	$1$	$1$	$10.856$	\(\Q\)	$_{}$	None	None	✓	✓			184.4.a.b	$1$	$0$	\(0\)	\(8\)	\(-4\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+8q^{3}-4q^{5}-4q^{7}+37q^{9}+26q^{11}+\cdots\)
184.4.a.c	$184$	$4$	184.a	1.a	$1$	$3$	$3$	$10.856$	3.3.761.1	$_{}$	None	None	✓	✓	✓	✓	184.4.a.c	$1$	$1$	\(0\)	\(-3\)	\(2\)	\(-28\)	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{2})q^{3}+(1-\beta _{1}-\beta _{2})q^{5}+\cdots\)
184.4.a.d	$184$	$4$	184.a	1.a	$1$	$3$	$3$	$10.856$	3.3.761.1	$_{}$	None	None	✓	✓	✓		184.4.a.d	$1$	$0$	\(0\)	\(1\)	\(16\)	\(18\)	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(5+2\beta _{1}+\beta _{2})q^{5}+(5+3\beta _{1}+\cdots)q^{7}+\cdots\)
184.4.a.e	$184$	$4$	184.a	1.a	$1$	$4$	$4$	$10.856$	4.4.167313.1	$_{}$	None	None	✓	✓	✓	✓	184.4.a.e	$1$	$1$	\(0\)	\(1\)	\(-20\)	\(-10\)	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(-5+\beta _{2}+\beta _{3})q^{5}+(-1+\cdots)q^{7}+\cdots\)
184.4.a.f	$184$	$4$	184.a	1.a	$1$	$4$	$4$	$10.856$	4.4.2822449.1	$_{}$	None	None	✓	✓	✓		184.4.a.f	$1$	$0$	\(0\)	\(5\)	\(-2\)	\(-32\)	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-1-\beta _{1}+\beta _{3})q^{5}+\cdots\)
184.4.b.a	$184$	$4$	184.b	8.b	$2$	$30$	$30$	$10.856$		$_{}$	None	None		✓			184.4.b.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
184.4.b.b	$184$	$4$	184.b	8.b	$2$	$36$	$36$	$10.856$		$_{}$	None	None		✓	✓		184.4.b.b	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
184.4.h.a	$184$	$4$	184.h	184.h	$2$	$2$	$2$	$10.856$	\(\Q(\sqrt{-23}) \)	$_{}$	\(\Q(\sqrt{-23}) \)	None		✓			184.4.h.a	$4$	$0$	\(3\)	\(-8\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+(1+\beta )q^{2}-4q^{3}+(-5+3\beta )q^{4}+\cdots\)
184.4.h.b	$184$	$4$	184.h	184.h	$2$	$4$	$4$	$10.856$	\(\Q(\sqrt{-3}, \sqrt{-23})\)	$_{}$	\(\Q(\sqrt{-23}) \)	None		✓			184.4.h.b	$4$	$0$	\(-3\)	\(8\)	\(0\)	\(0\)		$2$	$\mathrm{U}(1)[D_{2}]$	\(q+(-1-\beta _{2}-\beta _{3})q^{2}+(2-2\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots\)
184.4.h.c	$184$	$4$	184.h	184.h	$2$	$64$	$64$	$10.856$		$_{}$	None	None		✓	✓		184.4.h.c	$4$	$0$	\(-4\)	\(-4\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
184.4.i.a	$184$	$4$	184.i	23.c	$11$	$90$	$9$	$10.856$		$_{}$	None	None		✓			184.4.i.a	$2$	$0$	\(0\)	\(-2\)	\(0\)	\(-87\)			$\mathrm{SU}(2)[C_{11}]$
184.4.i.b	$184$	$4$	184.i	23.c	$11$	$90$	$9$	$10.856$		$_{}$	None	None		✓			184.4.i.b	$2$	$0$	\(0\)	\(2\)	\(-10\)	\(87\)			$\mathrm{SU}(2)[C_{11}]$
184.4.j.a	$184$	$4$	184.j	184.j	$22$	$700$	$70$	$10.856$		$_{}$	None	None		✓	✓	✓	184.4.j.a	$4$	$0$	\(-7\)	\(-18\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
184.4.p.a	$184$	$4$	184.p	184.p	$22$	$700$	$70$	$10.856$		$_{}$	None	None		✓	✓	✓	184.4.p.a	$4$	$0$	\(-7\)	\(0\)	\(0\)	\(10\)			$\mathrm{SU}(2)[C_{22}]$
184.5.e.a	$184$	$5$	184.e	184.e	$2$	$1$	$1$	$19.020$	\(\Q\)	$_{}$	\(\Q(\sqrt{-46}) \)	None	✓	✓			184.5.e.a	$2$	$0$	\(4\)	\(0\)	\(-42\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{2}+2^{4}q^{4}-42q^{5}+2^{6}q^{8}+3^{4}q^{9}+\cdots\)
184.5.e.b	$184$	$5$	184.e	184.e	$2$	$1$	$1$	$19.020$	\(\Q\)	$_{}$	\(\Q(\sqrt{-46}) \)	None	✓	✓			184.5.e.a	$2$	$0$	\(4\)	\(0\)	\(42\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{2}+2^{4}q^{4}+42q^{5}+2^{6}q^{8}+3^{4}q^{9}+\cdots\)
184.5.e.c	$184$	$5$	184.e	184.e	$2$	$2$	$2$	$19.020$	\(\Q(\sqrt{46}) \)	$_{}$	\(\Q(\sqrt{-46}) \)	None	✓	✓			184.5.e.c	$4$	$0$	\(-8\)	\(0\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q-4q^{2}+2^{4}q^{4}+\beta q^{5}-2^{6}q^{8}+3^{4}q^{9}+\cdots\)
184.5.e.d	$184$	$5$	184.e	184.e	$2$	$6$	$6$	$19.020$	6.0.8869743.1	$_{}$	\(\Q(\sqrt{-23}) \)	None		✓			184.5.e.d	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{U}(1)[D_{2}]$	\(q+(\beta _{1}-\beta _{4}-\beta _{5})q^{2}+(-4\beta _{1}+\beta _{3}+\cdots)q^{3}+\cdots\)
184.5.e.e	$184$	$5$	184.e	184.e	$2$	$84$	$84$	$19.020$		$_{}$	None	None		✓	✓		184.5.e.e	$4$	$0$	\(4\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
184.5.f.a	$184$	$5$	184.f	23.b	$2$	$24$	$24$	$19.020$		$_{}$	None	None		✓	✓	✓	184.5.f.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
184.5.g.a	$184$	$5$	184.g	8.d	$2$	$88$	$88$	$19.020$		$_{}$	None	None		✓	✓	✓	184.5.g.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
184.6.a.a	$184$	$6$	184.a	1.a	$1$	$6$	$6$	$29.511$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	$_{}$	None	None	✓	✓	✓	✓	184.6.a.a	$1$	$1$	\(0\)	\(-15\)	\(-26\)	\(72\)	$+$	$2^{9}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-2-\beta _{3})q^{3}+(-4-\beta _{3}+\beta _{4})q^{5}+\cdots\)
184.6.a.b	$184$	$6$	184.a	1.a	$1$	$7$	$7$	$29.511$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	$_{}$	None	None	✓	✓	✓	✓	184.6.a.b	$1$	$1$	\(0\)	\(-23\)	\(-50\)	\(-146\)	$+$	$2^{10}\cdot 3\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q+(-3+\beta _{1})q^{3}+(-7+\beta _{2})q^{5}+(-22+\cdots)q^{7}+\cdots\)

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