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Results (1-50 of 105 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
608.1.g.a	$608$	$1$	608.g	152.g	$2$	$1$	$1$	$0.303$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-38}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(1\)		$1$		\(q-q^{3}+q^{7}+q^{13}-q^{17}+q^{19}-q^{21}+\cdots\)
608.1.g.b	$608$	$1$	608.g	152.g	$2$	$1$	$1$	$0.303$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-38}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(0\)	\(1\)		$1$		\(q+q^{3}+q^{7}-q^{13}-q^{17}-q^{19}+q^{21}+\cdots\)
608.1.o.a	$608$	$1$	608.o	152.k	$6$	$2$	$1$	$0.303$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)		$1$		\(q+\zeta_{6}^{2}q^{3}+q^{11}+\zeta_{6}^{2}q^{17}+\zeta_{6}q^{19}+\cdots\)
608.1.q.a	$608$	$1$	608.q	76.g	$6$	$4$	$2$	$0.303$	\(\Q(\zeta_{12})\)	$A_{4}$	None	None		$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$1$		\(q-\zeta_{12}q^{3}-\zeta_{12}^{4}q^{5}-\zeta_{12}^{2}q^{13}+\cdots\)
608.1.bg.a	$608$	$1$	608.bg	152.u	$18$	$6$	$1$	$0.303$	\(\Q(\zeta_{18})\)	$D_{9}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(3\)	\(0\)	\(0\)		$1$		\(q+(\zeta_{18}-\zeta_{18}^{6})q^{3}+(\zeta_{18}^{2}-\zeta_{18}^{3}+\cdots)q^{9}+\cdots\)
608.2.a.a	$608$	$2$	608.a	1.a	$1$	$1$	$1$	$4.855$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+q^{7}+6q^{9}-2q^{11}-q^{13}+\cdots\)
608.2.a.b	$608$	$2$	608.a	1.a	$1$	$1$	$1$	$4.855$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-q^{7}-3q^{9}+3q^{11}-4q^{13}+\cdots\)
608.2.a.c	$608$	$2$	608.a	1.a	$1$	$1$	$1$	$4.855$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+q^{7}-3q^{9}-3q^{11}-4q^{13}+\cdots\)
608.2.a.d	$608$	$2$	608.a	1.a	$1$	$1$	$1$	$4.855$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(-5\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}-5q^{7}-3q^{9}-5q^{11}-4q^{13}+\cdots\)
608.2.a.e	$608$	$2$	608.a	1.a	$1$	$1$	$1$	$4.855$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}+5q^{7}-3q^{9}+5q^{11}-4q^{13}+\cdots\)
608.2.a.f	$608$	$2$	608.a	1.a	$1$	$1$	$1$	$4.855$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-q^{7}+6q^{9}+2q^{11}-q^{13}+\cdots\)
608.2.a.g	$608$	$2$	608.a	1.a	$1$	$2$	$2$	$4.855$	\(\Q(\sqrt{17}) \)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-1\)	\(-6\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+(-1+\beta )q^{5}-3q^{7}+(1+\beta )q^{9}+\cdots\)
608.2.a.h	$608$	$2$	608.a	1.a	$1$	$2$	$2$	$4.855$	\(\Q(\sqrt{17}) \)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(1\)	\(-1\)	\(6\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(-1+\beta )q^{5}+3q^{7}+(1+\beta )q^{9}+\cdots\)
608.2.a.i	$608$	$2$	608.a	1.a	$1$	$4$	$4$	$4.855$	4.4.15317.1	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-2\)	\(1\)	\(1\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}-\beta _{1}q^{5}+(-\beta _{2}+\beta _{3})q^{7}+\cdots\)
608.2.a.j	$608$	$2$	608.a	1.a	$1$	$4$	$4$	$4.855$	4.4.15317.1	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(2\)	\(1\)	\(-1\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}+(\beta _{1}-\beta _{2})q^{5}+\beta _{3}q^{7}+\cdots\)
608.2.b.a	$608$	$2$	608.b	152.b	$2$	$2$	$2$	$4.855$	\(\Q(\sqrt{-2}) \)	$_{}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2\beta q^{3}-5q^{9}-6q^{11}-6q^{17}+(1+\cdots)q^{19}+\cdots\)
608.2.b.b	$608$	$2$	608.b	152.b	$2$	$4$	$4$	$4.855$	\(\Q(\sqrt{-3}, \sqrt{5})\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{3}-\beta _{3}q^{7}+4q^{11}+\beta _{1}q^{13}+\cdots\)
608.2.b.c	$608$	$2$	608.b	152.b	$2$	$12$	$12$	$4.855$	12.0.\(\cdots\).1	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{8}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{3}+(-\beta _{3}-\beta _{7})q^{5}-\beta _{7}q^{7}+\cdots\)
608.2.c.a	$608$	$2$	608.c	8.b	$2$	$2$	$2$	$4.855$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-2q^{7}+3q^{9}+4iq^{11}+2iq^{13}+\cdots\)
608.2.c.b	$608$	$2$	608.c	8.b	$2$	$16$	$16$	$4.855$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(8\)		$2^{13}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{3}+(-\beta _{4}-\beta _{5})q^{5}+(1+\beta _{12}+\cdots)q^{7}+\cdots\)
608.2.h.a	$608$	$2$	608.h	76.d	$2$	$20$	$20$	$4.855$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{25}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{4}q^{3}-\beta _{2}q^{5}-\beta _{14}q^{7}+(1-\beta _{7}+\cdots)q^{9}+\cdots\)
608.2.i.a	$608$	$2$	608.i	19.c	$3$	$2$	$1$	$4.855$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$1$	\(0\)	\(-3\)	\(-2\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-3+3\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{5}+\cdots\)
608.2.i.b	$608$	$2$	608.i	19.c	$3$	$2$	$1$	$4.855$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(3\)	\(-2\)	\(4\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(3-3\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{5}+2q^{7}+\cdots\)
608.2.i.c	$608$	$2$	608.i	19.c	$3$	$8$	$4$	$4.855$	8.0.\(\cdots\).5	$_{}$	None	None		$2$	$0$	\(0\)	\(-4\)	\(2\)	\(8\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(\beta _{2}-\beta _{4})q^{3}+(\beta _{1}+\beta _{2})q^{5}+(1+\beta _{3}+\cdots)q^{7}+\cdots\)
608.2.i.d	$608$	$2$	608.i	19.c	$3$	$8$	$4$	$4.855$	8.0.\(\cdots\).1	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{3}]$	\(q+(\beta _{2}-\beta _{4})q^{3}+\beta _{1}q^{5}+(-2+2\beta _{1}+\cdots)q^{9}+\cdots\)
608.2.i.e	$608$	$2$	608.i	19.c	$3$	$8$	$4$	$4.855$	8.0.\(\cdots\).5	$_{}$	None	None		$2$	$0$	\(0\)	\(4\)	\(2\)	\(-8\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(1+\beta _{2}-\beta _{4}+\beta _{6})q^{3}+(1+\beta _{1}-\beta _{4}+\cdots)q^{5}+\cdots\)
608.2.i.f	$608$	$2$	608.i	19.c	$3$	$12$	$6$	$4.855$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$2^{4}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-\beta _{5}+\beta _{8})q^{3}-\beta _{10}q^{5}+(\beta _{2}-\beta _{5}+\cdots)q^{7}+\cdots\)
608.2.n.a	$608$	$2$	608.n	76.f	$6$	$40$	$20$	$4.855$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
608.2.s.a	$608$	$2$	608.s	152.o	$6$	$4$	$2$	$4.855$	\(\Q(\sqrt{-2}, \sqrt{-3})\)	$_{}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(-6\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{6}]$	\(q+(-2+\beta _{1}+\beta _{2}-\beta _{3})q^{3}+(2-2\beta _{1}+\cdots)q^{9}+\cdots\)
608.2.s.b	$608$	$2$	608.s	152.o	$6$	$4$	$2$	$4.855$	\(\Q(\sqrt{2}, \sqrt{-3})\)	$_{}$	None	None		$4$	$0$	\(0\)	\(6\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(2+\beta _{2})q^{3}+(\beta _{1}-\beta _{3})q^{5}+(2\beta _{1}+\beta _{3})q^{7}+\cdots\)
608.2.s.c	$608$	$2$	608.s	152.o	$6$	$28$	$14$	$4.855$		$_{}$	None	None		$4$	$0$	\(0\)	\(6\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
608.2.t.a	$608$	$2$	608.t	152.p	$6$	$36$	$18$	$4.855$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(8\)			$\mathrm{SU}(2)[C_{6}]$
608.2.u.a	$608$	$2$	608.u	608.u	$8$	$312$	$78$	$4.855$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(-8\)	\(-8\)			$\mathrm{SU}(2)[C_{8}]$
608.2.v.a	$608$	$2$	608.v	32.g	$8$	$288$	$72$	$4.855$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{8}]$
608.2.y.a	$608$	$2$	608.y	19.e	$9$	$24$	$4$	$4.855$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{9}]$
608.2.y.b	$608$	$2$	608.y	19.e	$9$	$30$	$5$	$4.855$		$_{}$	None	None		$2$	$0$	\(0\)	\(-3\)	\(0\)	\(12\)			$\mathrm{SU}(2)[C_{9}]$
608.2.y.c	$608$	$2$	608.y	19.e	$9$	$30$	$5$	$4.855$		$_{}$	None	None		$2$	$0$	\(0\)	\(3\)	\(0\)	\(-12\)			$\mathrm{SU}(2)[C_{9}]$
608.2.y.d	$608$	$2$	608.y	19.e	$9$	$36$	$6$	$4.855$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{9}]$
608.2.bf.a	$608$	$2$	608.bf	152.t	$18$	$108$	$18$	$4.855$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(6\)			$\mathrm{SU}(2)[C_{18}]$
608.2.bh.a	$608$	$2$	608.bh	152.v	$18$	$12$	$2$	$4.855$	12.0.\(\cdots\).1	$_{}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(6\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{18}]$	\(q+(1+\beta _{2}-\beta _{3}+\beta _{5}-\beta _{6}-\beta _{8})q^{3}+\cdots\)
608.2.bh.b	$608$	$2$	608.bh	152.v	$18$	$96$	$16$	$4.855$		$_{}$	None	None		$4$	$0$	\(0\)	\(6\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{18}]$
608.2.bi.a	$608$	$2$	608.bi	76.k	$18$	$120$	$20$	$4.855$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{18}]$
608.2.bm.a	$608$	$2$	608.bm	608.am	$24$	$624$	$78$	$4.855$		$_{}$	None	None		$4$	$0$	\(-4\)	\(-4\)	\(-4\)	\(-16\)			$\mathrm{SU}(2)[C_{24}]$
608.2.bn.a	$608$	$2$	608.bn	608.an	$24$	$624$	$78$	$4.855$		$_{}$	None	None		$4$	$0$	\(-12\)	\(-12\)	\(-4\)	\(-16\)			$\mathrm{SU}(2)[C_{24}]$
608.2.bs.a	$608$	$2$	608.bs	608.as	$72$	$1872$	$78$	$4.855$		$_{}$	None	None		$4$	$0$	\(-24\)	\(-24\)	\(-24\)	\(-12\)			$\mathrm{SU}(2)[C_{72}]$
608.2.bt.a	$608$	$2$	608.bt	608.at	$72$	$1872$	$78$	$4.855$		$_{}$	None	None		$4$	$0$	\(-24\)	\(-24\)	\(-24\)	\(-12\)			$\mathrm{SU}(2)[C_{72}]$
608.3.d.a	$608$	$3$	608.d	4.b	$2$	$16$	$16$	$16.567$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-8\)	\(0\)		$2^{26}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{4}q^{3}+(-1+\beta _{5})q^{5}+(\beta _{1}+\beta _{4}+\cdots)q^{7}+\cdots\)
608.3.d.b	$608$	$3$	608.d	4.b	$2$	$20$	$20$	$16.567$	\(\mathbb{Q}[x]/(x^{20} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{32}\cdot 3^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{3}+\beta _{4}q^{5}+\beta _{8}q^{7}+(-3+\beta _{2}+\cdots)q^{9}+\cdots\)
608.3.e.a	$608$	$3$	608.e	19.b	$2$	$20$	$20$	$16.567$	\(\mathbb{Q}[x]/(x^{20} + \cdots)\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{27}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{11}q^{3}-\beta _{2}q^{5}-\beta _{3}q^{7}+(-3+\beta _{5}+\cdots)q^{9}+\cdots\)
608.3.e.b	$608$	$3$	608.e	19.b	$2$	$20$	$20$	$16.567$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{27}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{7}q^{3}+\beta _{6}q^{5}+\beta _{1}q^{7}+(-3+\beta _{4}+\cdots)q^{9}+\cdots\)