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Results (1-50 of 12307 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
101.4.a.a	$101$	$4$	101.a	1.a	$1$	$9$	$9$	$5.959$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(-5\)	\(-16\)	\(-6\)	\(-39\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(-2+\beta _{7})q^{3}+(1+\cdots)q^{4}+\cdots\)
101.4.a.b	$101$	$4$	101.a	1.a	$1$	$16$	$16$	$5.959$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(14\)	\(14\)	\(45\)	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1-\beta _{6})q^{3}+(6+\beta _{2})q^{4}+\cdots\)
101.4.b.a	$101$	$4$	101.b	101.b	$2$	$24$	$24$	$5.959$		None		$2$	$0$	\(0\)	\(0\)	\(-6\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
101.4.d.a	$101$	$4$	101.d	101.d	$5$	$100$	$25$	$5.959$		None		$2$	$0$	\(-1\)	\(-3\)	\(-13\)	\(-11\)			$\mathrm{SU}(2)[C_{5}]$
101.4.e.a	$101$	$4$	101.e	101.e	$10$	$96$	$24$	$5.959$		None		$2$	$0$	\(-5\)	\(-5\)	\(1\)	\(-5\)			$\mathrm{SU}(2)[C_{10}]$
101.4.g.a	$101$	$4$	101.g	101.g	$25$	$500$	$25$	$5.959$		None		$2$	$0$	\(-20\)	\(-20\)	\(-20\)	\(-20\)			$\mathrm{SU}(2)[C_{25}]$
101.4.h.a	$101$	$4$	101.h	101.h	$50$	$480$	$24$	$5.959$		None		$2$	$0$	\(-20\)	\(-20\)	\(-20\)	\(-20\)			$\mathrm{SU}(2)[C_{50}]$
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		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{16}]$
103.4.a.a	$103$	$4$	103.a	1.a	$1$	$10$	$10$	$6.077$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(-11\)	\(-8\)	\(-30\)	\(-33\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}+(-1-\beta _{6})q^{3}+(3+\cdots)q^{4}+\cdots\)
103.4.a.b	$103$	$4$	103.a	1.a	$1$	$15$	$15$	$6.077$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(9\)	\(10\)	\(30\)	\(23\)	$+$	$2^{2}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1+\beta _{9})q^{3}+(5-\beta _{1}+\cdots)q^{4}+\cdots\)
103.4.c.a	$103$	$4$	103.c	103.c	$3$	$50$	$25$	$6.077$		None		$2$	$0$	\(-1\)	\(4\)	\(-3\)	\(13\)			$\mathrm{SU}(2)[C_{3}]$
103.4.e.a	$103$	$4$	103.e	103.e	$17$	$400$	$25$	$6.077$		None		$2$	$0$	\(-15\)	\(-19\)	\(-17\)	\(-7\)			$\mathrm{SU}(2)[C_{17}]$
103.4.g.a	$103$	$4$	103.g	103.g	$51$	$800$	$25$	$6.077$		None		$2$	$0$	\(-33\)	\(-38\)	\(-31\)	\(-47\)			$\mathrm{SU}(2)[C_{51}]$
104.4.a.a	$104$	$4$	104.a	1.a	$1$	$1$	$1$	$6.136$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-7\)	\(-21\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-7q^{5}-21q^{7}-26q^{9}+6q^{11}+\cdots\)
104.4.a.b	$104$	$4$	104.a	1.a	$1$	$1$	$1$	$6.136$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(5\)	\(19\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{3}+19q^{5}-3q^{7}-2q^{9}-2q^{11}+\cdots\)
104.4.a.c	$104$	$4$	104.a	1.a	$1$	$2$	$2$	$6.136$	\(\Q(\sqrt{73}) \)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-3\)	\(-25\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{3}+(-3+3\beta )q^{5}+(-13+\cdots)q^{7}+\cdots\)
104.4.a.d	$104$	$4$	104.a	1.a	$1$	$2$	$2$	$6.136$	\(\Q(\sqrt{321}) \)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-11\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+(-6+\beta )q^{5}+(2-3\beta )q^{7}+\cdots\)
104.4.a.e	$104$	$4$	104.a	1.a	$1$	$3$	$3$	$6.136$	3.3.18257.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-8\)	\(36\)	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-3-2\beta _{1}-\beta _{2})q^{5}+(12+\cdots)q^{7}+\cdots\)
104.4.b.a	$104$	$4$	104.b	8.b	$2$	$2$	$2$	$6.136$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(4\)	\(0\)	\(0\)	\(-58\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+(2+2i)q^{2}-iq^{3}+8iq^{4}+11iq^{5}+\cdots\)
104.4.b.b	$104$	$4$	104.b	8.b	$2$	$34$	$34$	$6.136$		None		$2$	$0$	\(-2\)	\(0\)	\(0\)	\(86\)			$\mathrm{SU}(2)[C_{2}]$
104.4.e.a	$104$	$4$	104.e	104.e	$2$	$40$	$40$	$6.136$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
104.4.f.a	$104$	$4$	104.f	13.b	$2$	$10$	$10$	$6.136$	\(\mathbb{Q}[x]/(x^{10} + \cdots)\)	None		$2$	$0$	\(0\)	\(6\)	\(0\)	\(0\)		$2^{17}$	$\mathrm{SU}(2)[C_{2}]$	\(q+(1-\beta _{1})q^{3}+\beta _{8}q^{5}-\beta _{7}q^{7}+(8-\beta _{1}+\cdots)q^{9}+\cdots\)
104.4.i.a	$104$	$4$	104.i	13.c	$3$	$2$	$1$	$6.136$	\(\Q(\sqrt{-3}) \)	None		$2$	$1$	\(0\)	\(-8\)	\(-18\)	\(4\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-8+8\zeta_{6})q^{3}-9q^{5}+4\zeta_{6}q^{7}+\cdots\)
104.4.i.b	$104$	$4$	104.i	13.c	$3$	$8$	$4$	$6.136$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None		$2$	$0$	\(0\)	\(11\)	\(14\)	\(15\)		$2^{6}$	$\mathrm{SU}(2)[C_{3}]$	\(q+(3-\beta _{1}-3\beta _{2})q^{3}+(2-\beta _{4})q^{5}+(4\beta _{2}+\cdots)q^{7}+\cdots\)
104.4.i.c	$104$	$4$	104.i	13.c	$3$	$12$	$6$	$6.136$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None		$2$	$0$	\(0\)	\(3\)	\(18\)	\(-1\)		$2^{12}\cdot 3$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-1+\beta _{1}-\beta _{2}-\beta _{3})q^{3}+(2+\beta _{3}+\cdots)q^{5}+\cdots\)
104.4.m.a	$104$	$4$	104.m	104.m	$4$	$80$	$40$	$6.136$		None		$4$	$0$	\(-2\)	\(-8\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
104.4.o.a	$104$	$4$	104.o	13.e	$6$	$20$	$10$	$6.136$	\(\mathbb{Q}[x]/(x^{20} + \cdots)\)	None		$2$	$0$	\(0\)	\(-6\)	\(0\)	\(-54\)		$2^{40}$	$\mathrm{SU}(2)[C_{6}]$	\(q+(-1+\beta _{1}-\beta _{2})q^{3}+(-1+\beta _{1}-\beta _{7}+\cdots)q^{5}+\cdots\)
104.4.r.a	$104$	$4$	104.r	104.r	$6$	$80$	$40$	$6.136$		None		$4$	$0$	\(-1\)	\(0\)	\(0\)	\(-2\)			$\mathrm{SU}(2)[C_{6}]$
104.4.s.a	$104$	$4$	104.s	104.s	$6$	$80$	$40$	$6.136$		None		$4$	$0$	\(-3\)	\(0\)	\(0\)	\(-6\)			$\mathrm{SU}(2)[C_{6}]$
104.4.u.a	$104$	$4$	104.u	104.u	$12$	$160$	$40$	$6.136$		None		$4$	$0$	\(-4\)	\(-4\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{12}]$
105.4.a.a	$105$	$4$	105.a	1.a	$1$	$1$	$1$	$6.195$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(5\)	\(7\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-8q^{4}+5q^{5}+7q^{7}+9q^{9}+\cdots\)
105.4.a.b	$105$	$4$	105.a	1.a	$1$	$1$	$1$	$6.195$	\(\Q\)	None	✓	$1$	$0$	\(5\)	\(-3\)	\(5\)	\(7\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{2}-3q^{3}+17q^{4}+5q^{5}-15q^{6}+\cdots\)
105.4.a.c	$105$	$4$	105.a	1.a	$1$	$2$	$2$	$6.195$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(-7\)	\(-6\)	\(-10\)	\(-14\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-3-\beta )q^{2}-3q^{3}+(5+7\beta )q^{4}+\cdots\)
105.4.a.d	$105$	$4$	105.a	1.a	$1$	$2$	$2$	$6.195$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-4\)	\(6\)	\(-10\)	\(-14\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-2-\beta )q^{2}+3q^{3}+(1+4\beta )q^{4}+\cdots\)
105.4.a.e	$105$	$4$	105.a	1.a	$1$	$2$	$2$	$6.195$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(-6\)	\(10\)	\(-14\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}-3q^{3}+(1-2\beta )q^{4}+\cdots\)
105.4.a.f	$105$	$4$	105.a	1.a	$1$	$2$	$2$	$6.195$	\(\Q(\sqrt{65}) \)	None	✓	$1$	$0$	\(1\)	\(6\)	\(10\)	\(-14\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+3q^{3}+(8+\beta )q^{4}+5q^{5}+3\beta q^{6}+\cdots\)