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Results (1-50 of 93 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
138.2.a.a	$138$	$2$	138.a	1.a	$1$	$1$	$1$	$1.102$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-2\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}-2q^{7}+\cdots\)
138.2.a.b	$138$	$2$	138.a	1.a	$1$	$1$	$1$	$1.102$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(0\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}+2q^{7}-q^{8}+\cdots\)
138.2.a.c	$138$	$2$	138.a	1.a	$1$	$1$	$1$	$1.102$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+q^{8}+\cdots\)
138.2.a.d	$138$	$2$	138.a	1.a	$1$	$2$	$2$	$1.102$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(-2\)	\(0\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+(-1+\beta )q^{5}+q^{6}+\cdots\)
138.2.d.a	$138$	$2$	138.d	69.c	$2$	$8$	$8$	$1.102$	8.0.\(\cdots\).3	None		$4$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{7})q^{3}-q^{4}+\beta _{3}q^{5}+\cdots\)
138.2.e.a	$138$	$2$	138.e	23.c	$11$	$10$	$1$	$1.102$	\(\Q(\zeta_{22})\)	None		$2$	$0$	\(-1\)	\(-1\)	\(8\)	\(8\)		$1$	$\mathrm{SU}(2)[C_{11}]$	\(q-\zeta_{22}q^{2}+\zeta_{22}^{8}q^{3}+\zeta_{22}^{2}q^{4}+(1+\cdots)q^{5}+\cdots\)
138.2.e.b	$138$	$2$	138.e	23.c	$11$	$10$	$1$	$1.102$	\(\Q(\zeta_{22})\)	None		$2$	$0$	\(-1\)	\(1\)	\(-2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{11}]$	\(q-\zeta_{22}q^{2}-\zeta_{22}^{8}q^{3}+\zeta_{22}^{2}q^{4}+(-1+\cdots)q^{5}+\cdots\)
138.2.e.c	$138$	$2$	138.e	23.c	$11$	$10$	$1$	$1.102$	\(\Q(\zeta_{22})\)	None		$2$	$0$	\(1\)	\(-1\)	\(0\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{11}]$	\(q+\zeta_{22}q^{2}+\zeta_{22}^{8}q^{3}+\zeta_{22}^{2}q^{4}+(1+\cdots)q^{5}+\cdots\)
138.2.e.d	$138$	$2$	138.e	23.c	$11$	$10$	$1$	$1.102$	\(\Q(\zeta_{22})\)	None		$2$	$0$	\(1\)	\(1\)	\(2\)	\(2\)		$1$	$\mathrm{SU}(2)[C_{11}]$	\(q+\zeta_{22}q^{2}-\zeta_{22}^{8}q^{3}+\zeta_{22}^{2}q^{4}+(-1+\cdots)q^{5}+\cdots\)
138.2.f.a	$138$	$2$	138.f	69.g	$22$	$80$	$8$	$1.102$		None		$4$	$0$	\(0\)	\(4\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
138.3.b.a	$138$	$3$	138.b	23.b	$2$	$8$	$8$	$3.760$	8.0.1358954496.3	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{5}q^{2}+\beta _{1}q^{3}+2q^{4}+(-\beta _{2}+2\beta _{3}+\cdots)q^{5}+\cdots\)
138.3.c.a	$138$	$3$	138.c	3.b	$2$	$16$	$16$	$3.760$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None		$2$	$0$	\(0\)	\(4\)	\(0\)	\(0\)		$2^{8}\cdot 3$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{3}q^{2}+\beta _{1}q^{3}-2q^{4}-\beta _{7}q^{5}+\beta _{11}q^{6}+\cdots\)
138.3.g.a	$138$	$3$	138.g	69.h	$22$	$160$	$16$	$3.760$		None		$4$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
138.3.h.a	$138$	$3$	138.h	23.d	$22$	$80$	$8$	$3.760$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
138.4.a.a	$138$	$4$	138.a	1.a	$1$	$1$	$1$	$8.142$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-3\)	\(-10\)	\(32\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}-10q^{5}+6q^{6}+\cdots\)
138.4.a.b	$138$	$4$	138.a	1.a	$1$	$1$	$1$	$8.142$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(3\)	\(2\)	\(-32\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+2q^{5}-6q^{6}+\cdots\)
138.4.a.c	$138$	$4$	138.a	1.a	$1$	$1$	$1$	$8.142$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(-3\)	\(-2\)	\(-34\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}-2q^{5}-6q^{6}+\cdots\)
138.4.a.d	$138$	$4$	138.a	1.a	$1$	$2$	$2$	$8.142$	\(\Q(\sqrt{277}) \)	None	✓	$1$	$0$	\(-4\)	\(6\)	\(2\)	\(28\)	$+$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(1-\beta )q^{5}-6q^{6}+\cdots\)
138.4.a.e	$138$	$4$	138.a	1.a	$1$	$2$	$2$	$8.142$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(4\)	\(-6\)	\(8\)	\(12\)	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(4+\beta )q^{5}-6q^{6}+\cdots\)
138.4.a.f	$138$	$4$	138.a	1.a	$1$	$3$	$3$	$8.142$	3.3.16372.1	None	✓	$1$	$0$	\(6\)	\(9\)	\(20\)	\(10\)	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}+(7+\beta _{2})q^{5}+\cdots\)
138.4.d.a	$138$	$4$	138.d	69.c	$2$	$24$	$24$	$8.142$		None		$4$	$0$	\(0\)	\(8\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
138.4.e.a	$138$	$4$	138.e	23.c	$11$	$30$	$3$	$8.142$		None		$2$	$0$	\(-6\)	\(-9\)	\(-20\)	\(-10\)			$\mathrm{SU}(2)[C_{11}]$
138.4.e.b	$138$	$4$	138.e	23.c	$11$	$30$	$3$	$8.142$		None		$2$	$0$	\(-6\)	\(9\)	\(-6\)	\(22\)			$\mathrm{SU}(2)[C_{11}]$
138.4.e.c	$138$	$4$	138.e	23.c	$11$	$30$	$3$	$8.142$		None		$2$	$0$	\(6\)	\(-9\)	\(-4\)	\(4\)			$\mathrm{SU}(2)[C_{11}]$
138.4.e.d	$138$	$4$	138.e	23.c	$11$	$30$	$3$	$8.142$		None		$2$	$0$	\(6\)	\(9\)	\(-2\)	\(0\)			$\mathrm{SU}(2)[C_{11}]$
138.4.f.a	$138$	$4$	138.f	69.g	$22$	$240$	$24$	$8.142$		None		$4$	$0$	\(0\)	\(-8\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
138.5.b.a	$138$	$5$	138.b	23.b	$2$	$16$	$16$	$14.265$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{22}\cdot 3^{4}\cdot 7^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{3}q^{2}-\beta _{1}q^{3}+8q^{4}+\beta _{4}q^{5}+\beta _{7}q^{6}+\cdots\)
138.5.c.a	$138$	$5$	138.c	3.b	$2$	$28$	$28$	$14.265$		None		$2$	$0$	\(0\)	\(-8\)	\(0\)	\(-104\)			$\mathrm{SU}(2)[C_{2}]$
138.5.g.a	$138$	$5$	138.g	69.h	$22$	$320$	$32$	$14.265$		None		$4$	$0$	\(0\)	\(20\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
138.5.h.a	$138$	$5$	138.h	23.d	$22$	$160$	$16$	$14.265$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
138.6.a.a	$138$	$6$	138.a	1.a	$1$	$1$	$1$	$22.133$	\(\Q\)	None	✓	$1$	$0$	\(-4\)	\(-9\)	\(-44\)	\(-70\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}-44q^{5}+6^{2}q^{6}+\cdots\)
138.6.a.b	$138$	$6$	138.a	1.a	$1$	$1$	$1$	$22.133$	\(\Q\)	None	✓	$1$	$0$	\(-4\)	\(-9\)	\(76\)	\(210\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}+76q^{5}+6^{2}q^{6}+\cdots\)
138.6.a.c	$138$	$6$	138.a	1.a	$1$	$1$	$1$	$22.133$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(-9\)	\(-10\)	\(-8\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}-10q^{5}-6^{2}q^{6}+\cdots\)
138.6.a.d	$138$	$6$	138.a	1.a	$1$	$1$	$1$	$22.133$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(9\)	\(-46\)	\(-136\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+9q^{3}+2^{4}q^{4}-46q^{5}+6^{2}q^{6}+\cdots\)
138.6.a.e	$138$	$6$	138.a	1.a	$1$	$2$	$2$	$22.133$	\(\Q(\sqrt{154}) \)	None	✓	$1$	$1$	\(-8\)	\(18\)	\(-4\)	\(-40\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+9q^{3}+2^{4}q^{4}+(-2+3\beta )q^{5}+\cdots\)
138.6.a.f	$138$	$6$	138.a	1.a	$1$	$2$	$2$	$22.133$	\(\Q(\sqrt{514}) \)	None	✓	$1$	$0$	\(8\)	\(-18\)	\(40\)	\(-100\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}+(20+3\beta )q^{5}+\cdots\)
138.6.a.g	$138$	$6$	138.a	1.a	$1$	$3$	$3$	$22.133$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-12\)	\(-27\)	\(-18\)	\(-50\)	$+$	$2$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}+(-6-\beta _{2})q^{5}+\cdots\)
138.6.a.h	$138$	$6$	138.a	1.a	$1$	$3$	$3$	$22.133$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-12\)	\(27\)	\(-4\)	\(-34\)	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-4q^{2}+9q^{3}+2^{4}q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
138.6.a.i	$138$	$6$	138.a	1.a	$1$	$4$	$4$	$22.133$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(16\)	\(36\)	\(54\)	\(348\)	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+4q^{2}+9q^{3}+2^{4}q^{4}+(13-\beta _{1})q^{5}+\cdots\)
138.6.d.a	$138$	$6$	138.d	69.c	$2$	$40$	$40$	$22.133$		None		$4$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
138.7.b.a	$138$	$7$	138.b	23.b	$2$	$24$	$24$	$31.747$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
138.7.c.a	$138$	$7$	138.c	3.b	$2$	$44$	$44$	$31.747$		None		$2$	$0$	\(0\)	\(-20\)	\(0\)	\(-8\)			$\mathrm{SU}(2)[C_{2}]$
138.8.a.a	$138$	$8$	138.a	1.a	$1$	$1$	$1$	$43.109$	\(\Q\)	None	✓	$1$	$1$	\(8\)	\(27\)	\(-230\)	\(106\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+8q^{2}+3^{3}q^{3}+2^{6}q^{4}-230q^{5}+\cdots\)
138.8.a.b	$138$	$8$	138.a	1.a	$1$	$3$	$3$	$43.109$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-24\)	\(-81\)	\(160\)	\(-364\)	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(55+5\beta _{1}+\cdots)q^{5}+\cdots\)
138.8.a.c	$138$	$8$	138.a	1.a	$1$	$3$	$3$	$43.109$	3.3.3351293.1	None	✓	$1$	$1$	\(-24\)	\(81\)	\(-162\)	\(-296\)	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(-55-5\beta _{1}+\cdots)q^{5}+\cdots\)
138.8.a.d	$138$	$8$	138.a	1.a	$1$	$3$	$3$	$43.109$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(24\)	\(-81\)	\(92\)	\(-858\)	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(31+\beta _{2})q^{5}+\cdots\)
138.8.a.e	$138$	$8$	138.a	1.a	$1$	$4$	$4$	$43.109$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(-32\)	\(-108\)	\(-90\)	\(-222\)	$-$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q-8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(-23+\beta _{1}+\cdots)q^{5}+\cdots\)
138.8.a.f	$138$	$8$	138.a	1.a	$1$	$4$	$4$	$43.109$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(-32\)	\(108\)	\(-162\)	\(1218\)	$+$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q-8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(-40-\beta _{1}+\cdots)q^{5}+\cdots\)
138.8.a.g	$138$	$8$	138.a	1.a	$1$	$4$	$4$	$43.109$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(32\)	\(-108\)	\(342\)	\(-30\)	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(85+\beta _{1}+\cdots)q^{5}+\cdots\)
138.8.a.h	$138$	$8$	138.a	1.a	$1$	$4$	$4$	$43.109$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(32\)	\(108\)	\(270\)	\(2022\)	$+$	$2^{5}\cdot 3$	$\mathrm{SU}(2)$	\(q+8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(68-\beta _{1}+\cdots)q^{5}+\cdots\)