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Results (1-50 of 32977 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
101.2.a.a	$101$	$2$	101.a	1.a	$1$	$1$	$1$	$0.806$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-1\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{4}-q^{5}-2q^{7}+q^{9}-2q^{11}+\cdots\)
101.2.a.b	$101$	$2$	101.a	1.a	$1$	$7$	$7$	$0.806$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(4\)	\(-3\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
101.2.b.a	$101$	$2$	101.b	101.b	$2$	$8$	$8$	$0.806$	\(\mathbb{Q}[x]/(x^{8} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+\beta _{6}q^{3}+(-1-\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
101.2.d.a	$101$	$2$	101.d	101.d	$5$	$28$	$7$	$0.806$		None		$2$	$0$	\(-2\)	\(-3\)	\(5\)	\(3\)			$\mathrm{SU}(2)[C_{5}]$
101.2.e.a	$101$	$2$	101.e	101.e	$10$	$4$	$1$	$0.806$	\(\Q(\zeta_{10})\)	None		$2$	$1$	\(-5\)	\(-5\)	\(-6\)	\(-10\)		$1$	$\mathrm{SU}(2)[C_{10}]$	\(q+(-1-\zeta_{10})q^{2}+(-2+2\zeta_{10}-\zeta_{10}^{2}+\cdots)q^{3}+\cdots\)
101.2.e.b	$101$	$2$	101.e	101.e	$10$	$28$	$7$	$0.806$		None		$2$	$0$	\(0\)	\(0\)	\(1\)	\(5\)			$\mathrm{SU}(2)[C_{10}]$
101.2.g.a	$101$	$2$	101.g	101.g	$25$	$140$	$7$	$0.806$		None		$2$	$0$	\(-20\)	\(-20\)	\(-20\)	\(-20\)			$\mathrm{SU}(2)[C_{25}]$
101.2.h.a	$101$	$2$	101.h	101.h	$50$	$160$	$8$	$0.806$		None		$2$	$0$	\(-20\)	\(-20\)	\(-20\)	\(-20\)			$\mathrm{SU}(2)[C_{50}]$
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		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{16}]$
103.2.a.a	$103$	$2$	103.a	1.a	$1$	$2$	$2$	$0.822$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-3\)	\(-2\)	\(-3\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}-q^{3}+3\beta q^{4}+(-2+\cdots)q^{5}+\cdots\)
103.2.a.b	$103$	$2$	103.a	1.a	$1$	$6$	$6$	$0.822$	6.6.6999257.1	None	✓	$1$	$0$	\(4\)	\(0\)	\(3\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(-\beta _{2}-\beta _{3}+\beta _{5})q^{3}+\cdots\)
103.2.c.a	$103$	$2$	103.c	103.c	$3$	$16$	$8$	$0.822$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None		$2$	$0$	\(-1\)	\(-4\)	\(3\)	\(-5\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-\beta _{1}q^{2}+\beta _{12}q^{3}+(-1+\beta _{4}-\beta _{5}+\cdots)q^{4}+\cdots\)
103.2.e.a	$103$	$2$	103.e	103.e	$17$	$112$	$7$	$0.822$		None		$2$	$0$	\(-15\)	\(-11\)	\(-11\)	\(-5\)			$\mathrm{SU}(2)[C_{17}]$
103.2.g.a	$103$	$2$	103.g	103.g	$51$	$256$	$8$	$0.822$		None		$2$	$0$	\(-33\)	\(-30\)	\(-37\)	\(-29\)			$\mathrm{SU}(2)[C_{51}]$
104.2.a.a	$104$	$2$	104.a	1.a	$1$	$1$	$1$	$0.830$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-1\)	\(5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+5q^{7}-2q^{9}-2q^{11}+\cdots\)
104.2.a.b	$104$	$2$	104.a	1.a	$1$	$2$	$2$	$0.830$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(1\)	\(3\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(2-\beta )q^{5}-\beta q^{7}+(1+\beta )q^{9}+\cdots\)
104.2.b.a	$104$	$2$	104.b	8.b	$2$	$2$	$2$	$0.830$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(-2\)	\(0\)	\(0\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1+i)q^{2}-iq^{3}-2iq^{4}+3iq^{5}+\cdots\)
104.2.b.b	$104$	$2$	104.b	8.b	$2$	$4$	$4$	$0.830$	\(\Q(\zeta_{12})\)	None		$2$	$0$	\(2\)	\(0\)	\(0\)	\(-12\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+(\zeta_{12}-\zeta_{12}^{2})q^{2}+2\zeta_{12}^{2}q^{3}+(\zeta_{12}+\cdots)q^{4}+\cdots\)
104.2.b.c	$104$	$2$	104.b	8.b	$2$	$6$	$6$	$0.830$	6.0.399424.1	None		$2$	$0$	\(-2\)	\(0\)	\(0\)	\(2\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{2}+(-\beta _{1}+\beta _{5})q^{3}+(\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots\)
104.2.e.a	$104$	$2$	104.e	104.e	$2$	$2$	$2$	$0.830$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(-2\)	\(0\)	\(2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1+i)q^{2}-iq^{3}-2iq^{4}+q^{5}+\cdots\)
104.2.e.b	$104$	$2$	104.e	104.e	$2$	$2$	$2$	$0.830$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(2\)	\(0\)	\(-2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+(1+i)q^{2}+iq^{3}+2iq^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots\)
104.2.e.c	$104$	$2$	104.e	104.e	$2$	$8$	$8$	$0.830$	8.0.4521217600.1	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{4}q^{2}+(\beta _{2}+\beta _{5})q^{3}-\beta _{5}q^{4}-\beta _{6}q^{5}+\cdots\)
104.2.f.a	$104$	$2$	104.f	13.b	$2$	$4$	$4$	$0.830$	\(\Q(i, \sqrt{17})\)	None		$2$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1+\beta _{3})q^{3}+\beta _{1}q^{5}+(\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
104.2.i.a	$104$	$2$	104.i	13.c	$3$	$2$	$1$	$0.830$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(0\)	\(-1\)	\(4\)	\(1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-1+\zeta_{6})q^{3}+2q^{5}+\zeta_{6}q^{7}+2\zeta_{6}q^{9}+\cdots\)
104.2.i.b	$104$	$2$	104.i	13.c	$3$	$4$	$2$	$0.830$	\(\Q(\sqrt{-3}, \sqrt{17})\)	None		$2$	$0$	\(0\)	\(-1\)	\(-6\)	\(1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-\beta _{1}q^{3}+(-1+\beta _{3})q^{5}+(-\beta _{1}-\beta _{3})q^{7}+\cdots\)
104.2.m.a	$104$	$2$	104.m	104.m	$4$	$4$	$2$	$0.830$	\(\Q(i, \sqrt{26})\)	None		$4$	$0$	\(-4\)	\(-4\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(-1-\beta _{2})q^{2}-q^{3}+2\beta _{2}q^{4}-\beta _{3}q^{5}+\cdots\)
104.2.m.b	$104$	$2$	104.m	104.m	$4$	$20$	$10$	$0.830$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None		$4$	$0$	\(2\)	\(-4\)	\(0\)	\(0\)		$2^{6}$	$\mathrm{SU}(2)[C_{4}]$	\(q-\beta _{14}q^{2}-\beta _{5}q^{3}-\beta _{2}q^{4}+\beta _{10}q^{5}+\cdots\)
104.2.o.a	$104$	$2$	104.o	13.e	$6$	$8$	$4$	$0.830$	8.0.195105024.2	None		$2$	$0$	\(0\)	\(2\)	\(0\)	\(-6\)		$2^{4}$	$\mathrm{SU}(2)[C_{6}]$	\(q+(-\beta _{2}+\beta _{4}-\beta _{5})q^{3}+(\beta _{1}+\beta _{3}+\beta _{5}+\cdots)q^{5}+\cdots\)
104.2.r.a	$104$	$2$	104.r	104.r	$6$	$24$	$12$	$0.830$		None		$4$	$0$	\(-1\)	\(0\)	\(0\)	\(-2\)			$\mathrm{SU}(2)[C_{6}]$
104.2.s.a	$104$	$2$	104.s	104.s	$6$	$4$	$2$	$0.830$	\(\Q(\zeta_{12})\)	None		$2$	$1$	\(-4\)	\(-6\)	\(-8\)	\(-12\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(-1+\zeta_{12}^{3})q^{2}+(-1+\zeta_{12}-\zeta_{12}^{2}+\cdots)q^{3}+\cdots\)
104.2.s.b	$104$	$2$	104.s	104.s	$6$	$4$	$2$	$0.830$	\(\Q(\zeta_{12})\)	None		$2$	$0$	\(-2\)	\(6\)	\(8\)	\(-12\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(-\zeta_{12}-\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}+(1+\zeta_{12}+\cdots)q^{3}+\cdots\)
104.2.s.c	$104$	$2$	104.s	104.s	$6$	$16$	$8$	$0.830$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None		$4$	$0$	\(3\)	\(0\)	\(0\)	\(18\)		$2^{2}$	$\mathrm{SU}(2)[C_{6}]$	\(q+(\beta _{1}-\beta _{14})q^{2}+(\beta _{3}-\beta _{11})q^{3}+(-\beta _{2}+\cdots)q^{4}+\cdots\)
104.2.u.a	$104$	$2$	104.u	104.u	$12$	$48$	$12$	$0.830$		None		$4$	$0$	\(-4\)	\(-4\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{12}]$
105.2.a.a	$105$	$2$	105.a	1.a	$1$	$1$	$1$	$0.838$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(1\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
105.2.a.b	$105$	$2$	105.a	1.a	$1$	$2$	$2$	$0.838$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-2\)	\(2\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+3q^{4}-q^{5}+\beta q^{6}+q^{7}+\cdots\)
105.2.b.a	$105$	$2$	105.b	21.c	$2$	$2$	$2$	$0.838$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(0\)	\(0\)	\(-2\)	\(4\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-\zeta_{6}q^{2}-\zeta_{6}q^{3}-q^{4}-q^{5}-3q^{6}+\cdots\)
105.2.b.b	$105$	$2$	105.b	21.c	$2$	$2$	$2$	$0.838$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(0\)	\(0\)	\(2\)	\(4\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-\zeta_{6}q^{2}+\zeta_{6}q^{3}-q^{4}+q^{5}+3q^{6}+\cdots\)
105.2.b.c	$105$	$2$	105.b	21.c	$2$	$4$	$4$	$0.838$	\(\Q(\sqrt{-3}, \sqrt{-11})\)	None		$2$	$0$	\(0\)	\(-1\)	\(-4\)	\(-8\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-\beta _{1}-\beta _{2}+\beta _{3})q^{2}+\beta _{1}q^{3}+(-1+\cdots)q^{4}+\cdots\)
105.2.b.d	$105$	$2$	105.b	21.c	$2$	$4$	$4$	$0.838$	\(\Q(\sqrt{-3}, \sqrt{-11})\)	None		$2$	$0$	\(0\)	\(1\)	\(4\)	\(-8\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-\beta _{1}-\beta _{2}+\beta _{3})q^{2}-\beta _{1}q^{3}+(-1+\cdots)q^{4}+\cdots\)
105.2.d.a	$105$	$2$	105.d	5.b	$2$	$2$	$2$	$0.838$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}+iq^{3}+q^{4}+(1-2i)q^{5}-q^{6}+\cdots\)
105.2.d.b	$105$	$2$	105.d	5.b	$2$	$6$	$6$	$0.838$	6.0.350464.1	None		$2$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{2}+\beta _{4}q^{3}+(-1+\beta _{3}+\beta _{5})q^{4}+\cdots\)
105.2.g.a	$105$	$2$	105.g	105.g	$2$	$4$	$4$	$0.838$	\(\Q(\sqrt{-2}, \sqrt{3})\)	None		$4$	$0$	\(0\)	\(-4\)	\(0\)	\(4\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{2}+(-1-\beta _{1})q^{3}+q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)