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Results (1-50 of 124 matches)

 

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
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
220.1.e.a	$220$	$1$	220.e	55.d	$2$	$2$	$2$	$0.110$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-11}) \)	None		✓	✓	✓	220.1.e.a	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$1$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{3}-\zeta_{6}^{2}q^{5}+(-1-\zeta_{6}+\cdots)q^{9}+\cdots\)
220.2.a.a	$220$	$2$	220.a	1.a	$1$	$1$	$1$	$1.757$	\(\Q\)	$_{}$	None	None	✓	✓	✓	✓	220.2.a.a	$1$	$1$	\(0\)	\(-2\)	\(1\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{5}-4q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
220.2.a.b	$220$	$2$	220.a	1.a	$1$	$1$	$1$	$1.757$	\(\Q\)	$_{}$	None	None	✓	✓	✓	✓	220.2.a.b	$1$	$0$	\(0\)	\(2\)	\(1\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}+q^{9}+q^{11}+2q^{15}+\cdots\)
220.2.b.a	$220$	$2$	220.b	5.b	$2$	$2$	$2$	$1.757$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		✓			220.2.b.a	$2$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1+i)q^{5}+iq^{7}+3q^{9}-q^{11}+\cdots\)
220.2.b.b	$220$	$2$	220.b	5.b	$2$	$4$	$4$	$1.757$	\(\Q(\sqrt{-3}, \sqrt{-19})\)	$_{}$	None	None		✓	✓		220.2.b.b	$2$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+(\beta _{1}-\beta _{2})q^{3}+\beta _{2}q^{5}+(\beta _{1}-\beta _{2}-\beta _{3})q^{7}+\cdots\)
220.2.d.a	$220$	$2$	220.d	44.c	$2$	$2$	$2$	$1.757$	\(\Q(\sqrt{-2}) \)	$_{}$	None	None		✓			220.2.d.a	$2$	$0$	\(0\)	\(0\)	\(-2\)	\(-8\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta q^{2}+\beta q^{3}-2q^{4}-q^{5}-2q^{6}+\cdots\)
220.2.d.b	$220$	$2$	220.d	44.c	$2$	$2$	$2$	$1.757$	\(\Q(\sqrt{-2}) \)	$_{}$	None	None		✓			220.2.d.a	$2$	$0$	\(0\)	\(0\)	\(-2\)	\(8\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta q^{2}-\beta q^{3}-2q^{4}-q^{5}+2q^{6}+\cdots\)
220.2.d.c	$220$	$2$	220.d	44.c	$2$	$8$	$8$	$1.757$	8.0.\(\cdots\).7	$_{}$	None	None		✓			220.2.d.c	$4$	$0$	\(0\)	\(0\)	\(-8\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{4}q^{2}+(-\beta _{1}-\beta _{5})q^{3}+(1+\beta _{5}+\cdots)q^{4}+\cdots\)
220.2.d.d	$220$	$2$	220.d	44.c	$2$	$12$	$12$	$1.757$	12.0.\(\cdots\).1	$_{}$	None	None		✓	✓		220.2.d.d	$4$	$0$	\(0\)	\(0\)	\(12\)	\(0\)		$2^{5}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{8}q^{2}-\beta _{4}q^{3}+\beta _{10}q^{4}+q^{5}+(-\beta _{3}+\cdots)q^{6}+\cdots\)
220.2.g.a	$220$	$2$	220.g	220.g	$2$	$8$	$8$	$1.757$	8.0.2342560000.5	$_{}$	\(\Q(\sqrt{-55}) \)	None		✓			220.2.g.a	$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{5}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(\beta _{2}-\beta _{4})q^{5}+(-\beta _{3}+\cdots)q^{7}+\cdots\)
220.2.g.b	$220$	$2$	220.g	220.g	$2$	$24$	$24$	$1.757$		$_{}$	None	None		✓	✓		220.2.g.b	$8$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
220.2.k.a	$220$	$2$	220.k	55.e	$4$	$4$	$2$	$1.757$	\(\Q(i, \sqrt{11})\)	$_{}$	None	None		✓			220.2.k.a	$4$	$0$	\(0\)	\(-4\)	\(-4\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{4}]$	\(q+(-1-\beta _{1})q^{3}+(-1+2\beta _{1})q^{5}+(-\beta _{2}+\cdots)q^{7}+\cdots\)
220.2.k.b	$220$	$2$	220.k	55.e	$4$	$8$	$4$	$1.757$	8.0.303595776.1	$_{}$	\(\Q(\sqrt{-11}) \)	None		✓	✓		220.2.k.b	$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$2^{2}\cdot 5$	$\mathrm{U}(1)[D_{4}]$	\(q-\beta _{1}q^{3}+(\beta _{2}+\beta _{6})q^{5}+(\beta _{1}-3\beta _{2}+\cdots)q^{9}+\cdots\)
220.2.l.a	$220$	$2$	220.l	20.e	$4$	$2$	$1$	$1.757$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		✓			220.2.l.a	$2$	$1$	\(-2\)	\(-4\)	\(-2\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(-1+i)q^{2}+(-2-2i)q^{3}-2iq^{4}+\cdots\)
220.2.l.b	$220$	$2$	220.l	20.e	$4$	$2$	$1$	$1.757$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		✓			220.2.l.a	$2$	$0$	\(2\)	\(4\)	\(-2\)	\(2\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(1-i)q^{2}+(2+2i)q^{3}-2iq^{4}+(-1+\cdots)q^{5}+\cdots\)
220.2.l.c	$220$	$2$	220.l	20.e	$4$	$28$	$14$	$1.757$		$_{}$	None	None		✓			220.2.l.c	$2$	$0$	\(-2\)	\(-4\)	\(2\)	\(-2\)			$\mathrm{SU}(2)[C_{4}]$
220.2.l.d	$220$	$2$	220.l	20.e	$4$	$28$	$14$	$1.757$		$_{}$	None	None		✓			220.2.l.c	$2$	$0$	\(2\)	\(4\)	\(2\)	\(2\)			$\mathrm{SU}(2)[C_{4}]$
220.2.m.a	$220$	$2$	220.m	11.c	$5$	$8$	$2$	$1.757$	8.0.26265625.1	$_{}$	None	None		✓			220.2.m.a	$2$	$0$	\(0\)	\(-1\)	\(2\)	\(1\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+(-\beta _{1}-\beta _{7})q^{3}+\beta _{2}q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
220.2.m.b	$220$	$2$	220.m	11.c	$5$	$8$	$2$	$1.757$	8.0.159390625.1	$_{}$	None	None		✓			220.2.m.b	$2$	$0$	\(0\)	\(5\)	\(-2\)	\(-1\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+(1-\beta _{3}+\beta _{4})q^{3}+(-1+\beta _{2}+\beta _{3}+\cdots)q^{5}+\cdots\)
220.2.o.a	$220$	$2$	220.o	220.o	$10$	$128$	$32$	$1.757$		$_{}$	None	None		✓	✓	✓	220.2.o.a	$8$	$0$	\(0\)	\(0\)	\(-6\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
220.2.r.a	$220$	$2$	220.r	44.g	$10$	$8$	$2$	$1.757$	\(\Q(\zeta_{15})\)	$_{}$	None	None		✓			220.2.r.a	$2$	$0$	\(5\)	\(-5\)	\(2\)	\(3\)		$1$	$\mathrm{SU}(2)[C_{10}]$	\(q+(-\zeta_{15}^{3}-\zeta_{15}^{6}+\zeta_{15}^{7})q^{2}+(-1+\cdots)q^{3}+\cdots\)
220.2.r.b	$220$	$2$	220.r	44.g	$10$	$8$	$2$	$1.757$	\(\Q(\zeta_{15})\)	$_{}$	None	None		✓			220.2.r.a	$2$	$0$	\(5\)	\(5\)	\(2\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{10}]$	\(q+(-\zeta_{15}^{3}-\zeta_{15}^{6}+\zeta_{15}^{7})q^{2}+(1+\cdots)q^{3}+\cdots\)
220.2.r.c	$220$	$2$	220.r	44.g	$10$	$32$	$8$	$1.757$		$_{}$	None	None		✓			220.2.r.c	$4$	$0$	\(-10\)	\(0\)	\(8\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
220.2.r.d	$220$	$2$	220.r	44.g	$10$	$48$	$12$	$1.757$		$_{}$	None	None		✓	✓		220.2.r.d	$4$	$0$	\(0\)	\(0\)	\(-12\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
220.2.t.a	$220$	$2$	220.t	55.j	$10$	$24$	$6$	$1.757$		$_{}$	None	None		✓	✓	✓	220.2.t.a	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
220.2.u.a	$220$	$2$	220.u	55.l	$20$	$48$	$6$	$1.757$		$_{}$	None	None		✓	✓	✓	220.2.u.a	$4$	$0$	\(0\)	\(2\)	\(4\)	\(10\)			$\mathrm{SU}(2)[C_{20}]$
220.2.v.a	$220$	$2$	220.v	220.v	$20$	$256$	$32$	$1.757$		$_{}$	None	None		✓	✓	✓	220.2.v.a	$8$	$0$	\(-6\)	\(0\)	\(-12\)	\(0\)			$\mathrm{SU}(2)[C_{20}]$
220.3.c.a	$220$	$3$	220.c	4.b	$2$	$40$	$40$	$5.995$		$_{}$	None	None		✓	✓	✓	220.3.c.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
220.3.e.a	$220$	$3$	220.e	55.d	$2$	$4$	$4$	$5.995$	\(\Q(\sqrt{-3}, \sqrt{-11})\)	$_{}$	\(\Q(\sqrt{-11}) \)	None		✓			220.3.e.a	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)		$2^{3}\cdot 5$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{3}q^{3}-\beta _{1}q^{5}+(-11-2\beta _{1}+2\beta _{2}+\cdots)q^{9}+\cdots\)
220.3.e.b	$220$	$3$	220.e	55.d	$2$	$8$	$8$	$5.995$	\(\mathbb{Q}[x]/(x^{8} + \cdots)\)	$_{}$	None	None		✓	✓		220.3.e.b	$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$2^{6}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{4}q^{3}+(\beta _{1}+\beta _{4}+\beta _{6})q^{5}-\beta _{2}q^{7}+\cdots\)
220.3.f.a	$220$	$3$	220.f	11.b	$2$	$8$	$8$	$5.995$	\(\mathbb{Q}[x]/(x^{8} + \cdots)\)	$_{}$	None	None		✓	✓	✓	220.3.f.a	$2$	$0$	\(0\)	\(-8\)	\(0\)	\(0\)		$2^{5}\cdot 5$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1-\beta _{2}+\beta _{3})q^{3}+\beta _{3}q^{5}+\beta _{5}q^{7}+\cdots\)
220.3.h.a	$220$	$3$	220.h	20.d	$2$	$60$	$60$	$5.995$		$_{}$	None	None		✓	✓	✓	220.3.h.a	$4$	$0$	\(0\)	\(0\)	\(4\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
220.3.i.a	$220$	$3$	220.i	220.i	$4$	$136$	$68$	$5.995$		$_{}$	None	None		✓	✓	✓	220.3.i.a	$8$	$0$	\(0\)	\(0\)	\(-8\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
220.3.j.a	$220$	$3$	220.j	5.c	$4$	$20$	$10$	$5.995$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	None	None		✓	✓	✓	220.3.j.a	$2$	$0$	\(0\)	\(-2\)	\(8\)	\(0\)		$2^{9}\cdot 5$	$\mathrm{SU}(2)[C_{4}]$	\(q-\beta _{1}q^{3}-\beta _{13}q^{5}+(-\beta _{3}-\beta _{11})q^{7}+\cdots\)
220.3.n.a	$220$	$3$	220.n	220.n	$10$	$272$	$68$	$5.995$		$_{}$	None	None		✓	✓	✓	220.3.n.a	$8$	$0$	\(0\)	\(0\)	\(-6\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
220.3.p.a	$220$	$3$	220.p	11.d	$10$	$16$	$4$	$5.995$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None		✓			220.3.p.a	$2$	$0$	\(0\)	\(-1\)	\(-20\)	\(-10\)		$5\cdot 11$	$\mathrm{SU}(2)[C_{10}]$	\(q+(-\beta _{7}-\beta _{14})q^{3}+(-2+\beta _{6}+2\beta _{7}+\cdots)q^{5}+\cdots\)
220.3.p.b	$220$	$3$	220.p	11.d	$10$	$16$	$4$	$5.995$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None		✓			220.3.p.b	$2$	$0$	\(0\)	\(9\)	\(20\)	\(10\)		$5$	$\mathrm{SU}(2)[C_{10}]$	\(q+(\beta _{2}+\beta _{5}-\beta _{6}+\beta _{7})q^{3}+(2-2\beta _{5}+\cdots)q^{5}+\cdots\)
220.3.q.a	$220$	$3$	220.q	55.h	$10$	$48$	$12$	$5.995$		$_{}$	None	None		✓	✓	✓	220.3.q.a	$4$	$0$	\(0\)	\(0\)	\(5\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
220.3.s.a	$220$	$3$	220.s	44.h	$10$	$96$	$24$	$5.995$		$_{}$	None	None		✓			220.3.s.a	$4$	$0$	\(2\)	\(0\)	\(120\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
220.3.s.b	$220$	$3$	220.s	44.h	$10$	$96$	$24$	$5.995$		$_{}$	None	None		✓			220.3.s.b	$4$	$0$	\(2\)	\(0\)	\(-120\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
220.3.w.a	$220$	$3$	220.w	220.w	$20$	$544$	$68$	$5.995$		$_{}$	None	None		✓	✓	✓	220.3.w.a	$8$	$0$	\(-10\)	\(0\)	\(-12\)	\(0\)			$\mathrm{SU}(2)[C_{20}]$
220.3.x.a	$220$	$3$	220.x	55.k	$20$	$96$	$12$	$5.995$		$_{}$	None	None		✓	✓	✓	220.3.x.a	$4$	$0$	\(0\)	\(-2\)	\(4\)	\(-2\)			$\mathrm{SU}(2)[C_{20}]$
220.4.a.a	$220$	$4$	220.a	1.a	$1$	$1$	$1$	$12.980$	\(\Q\)	$_{}$	None	None	✓	✓			220.4.a.a	$1$	$0$	\(0\)	\(-5\)	\(5\)	\(11\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{3}+5q^{5}+11q^{7}-2q^{9}-11q^{11}+\cdots\)
220.4.a.b	$220$	$4$	220.a	1.a	$1$	$1$	$1$	$12.980$	\(\Q\)	$_{}$	None	None	✓	✓			220.4.a.b	$1$	$1$	\(0\)	\(5\)	\(-5\)	\(-19\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{3}-5q^{5}-19q^{7}-2q^{9}-11q^{11}+\cdots\)
220.4.a.c	$220$	$4$	220.a	1.a	$1$	$1$	$1$	$12.980$	\(\Q\)	$_{}$	None	None	✓	✓			220.4.a.c	$1$	$0$	\(0\)	\(8\)	\(5\)	\(24\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+8q^{3}+5q^{5}+24q^{7}+37q^{9}-11q^{11}+\cdots\)
220.4.a.d	$220$	$4$	220.a	1.a	$1$	$2$	$2$	$12.980$	\(\Q(\sqrt{97}) \)	$_{}$	None	None	✓	✓	✓	✓	220.4.a.d	$1$	$1$	\(0\)	\(-9\)	\(10\)	\(-15\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-4-\beta )q^{3}+5q^{5}+(-8+\beta )q^{7}+\cdots\)
220.4.a.e	$220$	$4$	220.a	1.a	$1$	$2$	$2$	$12.980$	\(\Q(\sqrt{6}) \)	$_{}$	None	None	✓	✓	✓		220.4.a.e	$1$	$1$	\(0\)	\(-8\)	\(-10\)	\(36\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-4+\beta )q^{3}-5q^{5}+(18-2\beta )q^{7}+\cdots\)
220.4.a.f	$220$	$4$	220.a	1.a	$1$	$3$	$3$	$12.980$	3.3.9192.1	$_{}$	None	None	✓	✓	✓	✓	220.4.a.f	$1$	$0$	\(0\)	\(-3\)	\(-15\)	\(-5\)	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{2})q^{3}-5q^{5}+(-2-\beta _{1}+\cdots)q^{7}+\cdots\)
220.4.b.a	$220$	$4$	220.b	5.b	$2$	$2$	$2$	$12.980$	\(\Q(\sqrt{-19}) \)	$_{}$	None	None		✓			220.4.b.a	$2$	$0$	\(0\)	\(0\)	\(-5\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+(1-2\beta )q^{3}+(-5+5\beta )q^{5}+(2-4\beta )q^{7}+\cdots\)
220.4.b.b	$220$	$4$	220.b	5.b	$2$	$6$	$6$	$12.980$	\(\mathbb{Q}[x]/(x^{6} + \cdots)\)	$_{}$	None	None		✓			220.4.b.b	$2$	$0$	\(0\)	\(0\)	\(-12\)	\(0\)		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{3}+(-2+\beta _{1}+\beta _{4})q^{5}+\beta _{3}q^{7}+\cdots\)