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Results (1-50 of 148 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
102.2.a.a	$102$	$2$	102.a	1.a	$1$	$1$	$1$	$0.814$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-4\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-4q^{5}+q^{6}-2q^{7}+\cdots\)
102.2.a.b	$102$	$2$	102.a	1.a	$1$	$1$	$1$	$0.814$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(0\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}+2q^{7}-q^{8}+\cdots\)
102.2.a.c	$102$	$2$	102.a	1.a	$1$	$1$	$1$	$0.814$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(-2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}+q^{8}+\cdots\)
102.2.b.a	$102$	$2$	102.b	17.b	$2$	$2$	$2$	$0.814$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+q^{2}+iq^{3}+q^{4}-2iq^{5}+iq^{6}+\cdots\)
102.2.f.a	$102$	$2$	102.f	17.c	$4$	$4$	$2$	$0.814$	\(\Q(\zeta_{8})\)	None		$2$	$0$	\(0\)	\(0\)	\(-4\)	\(8\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q-\zeta_{8}^{2}q^{2}+\zeta_{8}q^{3}-q^{4}+(-1+2\zeta_{8}+\cdots)q^{5}+\cdots\)
102.2.h.a	$102$	$2$	102.h	17.d	$8$	$8$	$2$	$0.814$	\(\Q(\zeta_{16})\)	None		$2$	$0$	\(0\)	\(0\)	\(8\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{8}]$	\(q-\zeta_{16}^{2}q^{2}+\zeta_{16}^{3}q^{3}+\zeta_{16}^{4}q^{4}+\cdots\)
102.2.h.b	$102$	$2$	102.h	17.d	$8$	$8$	$2$	$0.814$	\(\Q(\zeta_{16})\)	None		$2$	$0$	\(0\)	\(0\)	\(8\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{8}]$	\(q+\zeta_{16}^{6}q^{2}+\zeta_{16}q^{3}-\zeta_{16}^{4}q^{4}+(1+\cdots)q^{5}+\cdots\)
102.2.i.a	$102$	$2$	102.i	51.i	$16$	$24$	$3$	$0.814$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{16}]$
102.2.i.b	$102$	$2$	102.i	51.i	$16$	$24$	$3$	$0.814$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{16}]$
102.3.c.a	$102$	$3$	102.c	3.b	$2$	$12$	$12$	$2.779$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None		$2$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)		$2\cdot 3$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{3}q^{2}+\beta _{9}q^{3}-2q^{4}+(-\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
102.3.d.a	$102$	$3$	102.d	51.c	$2$	$12$	$12$	$2.779$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{2}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{3}q^{2}+\beta _{1}q^{3}-2q^{4}-\beta _{8}q^{5}+\beta _{10}q^{6}+\cdots\)
102.3.e.a	$102$	$3$	102.e	51.f	$4$	$4$	$2$	$2.779$	\(\Q(\zeta_{8})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-20\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(-\zeta_{8}+\zeta_{8}^{3})q^{2}-3\zeta_{8}^{3}q^{3}+2q^{4}+\cdots\)
102.3.e.b	$102$	$3$	102.e	51.f	$4$	$20$	$10$	$2.779$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None		$4$	$0$	\(0\)	\(4\)	\(0\)	\(20\)		$2^{8}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{4}]$	\(q-\beta _{2}q^{2}+\beta _{13}q^{3}+2q^{4}+(-\beta _{2}-\beta _{5}+\cdots)q^{5}+\cdots\)
102.3.g.a	$102$	$3$	102.g	51.g	$8$	$24$	$6$	$2.779$		None		$2$	$0$	\(-24\)	\(-4\)	\(8\)	\(0\)			$\mathrm{SU}(2)[C_{8}]$
102.3.g.b	$102$	$3$	102.g	51.g	$8$	$24$	$6$	$2.779$		None		$2$	$0$	\(24\)	\(4\)	\(-8\)	\(0\)			$\mathrm{SU}(2)[C_{8}]$
102.3.j.a	$102$	$3$	102.j	17.e	$16$	$16$	$2$	$2.779$	16.0.\(\cdots\).2	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(16\)		$1$	$\mathrm{SU}(2)[C_{16}]$	\(q+(\beta _{2}-\beta _{10})q^{2}-\beta _{9}q^{3}-2\beta _{12}q^{4}+\cdots\)
102.3.j.b	$102$	$3$	102.j	17.e	$16$	$32$	$4$	$2.779$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-16\)			$\mathrm{SU}(2)[C_{16}]$
102.4.a.a	$102$	$4$	102.a	1.a	$1$	$1$	$1$	$6.018$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-3\)	\(-3\)	\(20\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}-3q^{5}+6q^{6}+\cdots\)
102.4.a.b	$102$	$4$	102.a	1.a	$1$	$1$	$1$	$6.018$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(3\)	\(-5\)	\(-32\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}-5q^{5}-6q^{6}+\cdots\)
102.4.a.c	$102$	$4$	102.a	1.a	$1$	$1$	$1$	$6.018$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(-3\)	\(-12\)	\(-22\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}-12q^{5}-6q^{6}+\cdots\)
102.4.a.d	$102$	$4$	102.a	1.a	$1$	$1$	$1$	$6.018$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(-3\)	\(5\)	\(12\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+5q^{5}-6q^{6}+\cdots\)
102.4.a.e	$102$	$4$	102.a	1.a	$1$	$2$	$2$	$6.018$	\(\Q(\sqrt{15}) \)	None	✓	$1$	$0$	\(-4\)	\(6\)	\(12\)	\(16\)	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(6+\beta )q^{5}-6q^{6}+\cdots\)
102.4.a.f	$102$	$4$	102.a	1.a	$1$	$2$	$2$	$6.018$	\(\Q(\sqrt{393}) \)	None	✓	$1$	$0$	\(4\)	\(6\)	\(3\)	\(22\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}+(2-\beta )q^{5}+6q^{6}+\cdots\)
102.4.b.a	$102$	$4$	102.b	17.b	$2$	$4$	$4$	$6.018$	\(\Q(i, \sqrt{569})\)	None		$2$	$0$	\(-8\)	\(0\)	\(0\)	\(0\)		$3^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-2q^{2}-\beta _{2}q^{3}+4q^{4}+(\beta _{1}-2\beta _{2}+\cdots)q^{5}+\cdots\)
102.4.b.b	$102$	$4$	102.b	17.b	$2$	$6$	$6$	$6.018$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None		$2$	$0$	\(12\)	\(0\)	\(0\)	\(0\)		$2^{4}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+2q^{2}+\beta _{2}q^{3}+4q^{4}+(-\beta _{2}+\beta _{3}+\cdots)q^{5}+\cdots\)
102.4.f.a	$102$	$4$	102.f	17.c	$4$	$4$	$2$	$6.018$	\(\Q(\zeta_{8})\)	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(-48\)		$3^{2}$	$\mathrm{SU}(2)[C_{4}]$	\(q+2\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-4q^{4}+(1+2\zeta_{8}+\cdots)q^{5}+\cdots\)
102.4.f.b	$102$	$4$	102.f	17.c	$4$	$4$	$2$	$6.018$	\(\Q(\zeta_{8})\)	None		$2$	$0$	\(0\)	\(0\)	\(32\)	\(76\)		$3^{2}$	$\mathrm{SU}(2)[C_{4}]$	\(q+2\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-4q^{4}+(8-3\zeta_{8}+\cdots)q^{5}+\cdots\)
102.4.f.c	$102$	$4$	102.f	17.c	$4$	$12$	$6$	$6.018$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(16\)	\(-12\)		$2^{6}\cdot 3^{4}$	$\mathrm{SU}(2)[C_{4}]$	\(q-2\beta _{3}q^{2}+\beta _{5}q^{3}-4q^{4}+(1+\beta _{3}+\cdots)q^{5}+\cdots\)
102.4.h.a	$102$	$4$	102.h	17.d	$8$	$16$	$4$	$6.018$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(-64\)	\(0\)		$3^{4}$	$\mathrm{SU}(2)[C_{8}]$	\(q-2\beta _{3}q^{2}+\beta _{8}q^{3}+4\beta _{9}q^{4}+(-4+\cdots)q^{5}+\cdots\)
102.4.h.b	$102$	$4$	102.h	17.d	$8$	$16$	$4$	$6.018$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$3^{4}$	$\mathrm{SU}(2)[C_{8}]$	\(q+2\beta _{1}q^{2}+\beta _{8}q^{3}-4\beta _{3}q^{4}+(-2\beta _{1}+\cdots)q^{5}+\cdots\)
102.4.i.a	$102$	$4$	102.i	51.i	$16$	$72$	$9$	$6.018$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{16}]$
102.4.i.b	$102$	$4$	102.i	51.i	$16$	$72$	$9$	$6.018$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{16}]$
102.5.c.a	$102$	$5$	102.c	3.b	$2$	$20$	$20$	$10.544$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None		$2$	$0$	\(0\)	\(20\)	\(0\)	\(-104\)		$2^{21}\cdot 3^{8}\cdot 17^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+(1-\beta _{4})q^{3}-8q^{4}+\beta _{2}q^{5}+\cdots\)
102.5.d.a	$102$	$5$	102.d	51.c	$2$	$24$	$24$	$10.544$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
102.5.e.a	$102$	$5$	102.e	51.f	$4$	$48$	$24$	$10.544$		None		$4$	$0$	\(0\)	\(-8\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
102.5.g.a	$102$	$5$	102.g	51.g	$8$	$4$	$1$	$10.544$	\(\Q(\zeta_{8})\)	None		$2$	$0$	\(-8\)	\(24\)	\(8\)	\(-132\)		$1$	$\mathrm{SU}(2)[C_{8}]$	\(q+(-2-2\zeta_{8}^{2})q^{2}+(6+3\zeta_{8}-6\zeta_{8}^{2}+\cdots)q^{3}+\cdots\)
102.5.g.b	$102$	$5$	102.g	51.g	$8$	$4$	$1$	$10.544$	\(\Q(\zeta_{8})\)	None		$2$	$0$	\(8\)	\(12\)	\(-8\)	\(-132\)		$1$	$\mathrm{SU}(2)[C_{8}]$	\(q+(2+2\zeta_{8}^{2})q^{2}+(3+6\zeta_{8}+6\zeta_{8}^{3})q^{3}+\cdots\)
102.5.g.c	$102$	$5$	102.g	51.g	$8$	$44$	$11$	$10.544$		None		$2$	$0$	\(-88\)	\(-32\)	\(-72\)	\(132\)			$\mathrm{SU}(2)[C_{8}]$
102.5.g.d	$102$	$5$	102.g	51.g	$8$	$44$	$11$	$10.544$		None		$2$	$0$	\(88\)	\(-4\)	\(72\)	\(132\)			$\mathrm{SU}(2)[C_{8}]$
102.5.j.a	$102$	$5$	102.j	17.e	$16$	$48$	$6$	$10.544$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-192\)			$\mathrm{SU}(2)[C_{16}]$
102.5.j.b	$102$	$5$	102.j	17.e	$16$	$48$	$6$	$10.544$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(192\)			$\mathrm{SU}(2)[C_{16}]$
102.6.a.a	$102$	$6$	102.a	1.a	$1$	$1$	$1$	$16.359$	\(\Q\)	None	✓	$1$	$0$	\(-4\)	\(-9\)	\(81\)	\(92\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}+3^{4}q^{5}+6^{2}q^{6}+\cdots\)
102.6.a.b	$102$	$6$	102.a	1.a	$1$	$1$	$1$	$16.359$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(9\)	\(9\)	\(-88\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+9q^{3}+2^{4}q^{4}+9q^{5}-6^{2}q^{6}+\cdots\)
102.6.a.c	$102$	$6$	102.a	1.a	$1$	$1$	$1$	$16.359$	\(\Q\)	None	✓	$1$	$0$	\(4\)	\(-9\)	\(-9\)	\(-52\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}-9q^{5}-6^{2}q^{6}+\cdots\)
102.6.a.d	$102$	$6$	102.a	1.a	$1$	$1$	$1$	$16.359$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(-9\)	\(25\)	\(-188\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}+5^{2}q^{5}-6^{2}q^{6}+\cdots\)
102.6.a.e	$102$	$6$	102.a	1.a	$1$	$1$	$1$	$16.359$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(9\)	\(-81\)	\(-88\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+9q^{3}+2^{4}q^{4}-3^{4}q^{5}+6^{2}q^{6}+\cdots\)
102.6.a.f	$102$	$6$	102.a	1.a	$1$	$2$	$2$	$16.359$	\(\Q(\sqrt{769}) \)	None	✓	$1$	$1$	\(-8\)	\(-18\)	\(-53\)	\(130\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}+(-5^{2}-3\beta )q^{5}+\cdots\)
102.6.a.g	$102$	$6$	102.a	1.a	$1$	$2$	$2$	$16.359$	\(\Q(\sqrt{20209}) \)	None	✓	$1$	$0$	\(-8\)	\(18\)	\(-25\)	\(146\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+9q^{3}+2^{4}q^{4}+(-12-\beta )q^{5}+\cdots\)
102.6.a.h	$102$	$6$	102.a	1.a	$1$	$3$	$3$	$16.359$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(12\)	\(27\)	\(53\)	\(168\)	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+4q^{2}+9q^{3}+2^{4}q^{4}+(18+\beta _{2})q^{5}+\cdots\)
102.6.b.a	$102$	$6$	102.b	17.b	$2$	$6$	$6$	$16.359$	\(\mathbb{Q}[x]/(x^{6} + \cdots)\)	None		$2$	$0$	\(24\)	\(0\)	\(0\)	\(0\)		$2^{2}\cdot 3^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+4q^{2}-\beta _{2}q^{3}+2^{4}q^{4}+(\beta _{1}-3\beta _{2}+\cdots)q^{5}+\cdots\)