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Results (29 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1096.1.e.a	$1096$	$1$	1096.e	1096.e	$2$	$1$	$1$	$0.547$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-274}) \)	\(\Q(\sqrt{137}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)		$1$		\(q-q^{2}+q^{4}-q^{8}+q^{9}-2q^{11}+q^{16}+\cdots\)
1096.1.e.b	$1096$	$1$	1096.e	1096.e	$2$	$1$	$1$	$0.547$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-274}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)		$1$		\(q+q^{2}+q^{4}-q^{5}+q^{8}+q^{9}-q^{10}+\cdots\)
1096.1.e.c	$1096$	$1$	1096.e	1096.e	$2$	$1$	$1$	$0.547$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-274}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(1\)	\(0\)		$1$		\(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{9}+q^{10}+\cdots\)
1096.1.e.d	$1096$	$1$	1096.e	1096.e	$2$	$2$	$2$	$0.547$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-274}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)		$1$		\(q-q^{2}+q^{4}-\beta q^{5}-q^{8}+q^{9}+\beta q^{10}+\cdots\)
1096.1.k.a	$1096$	$1$	1096.k	1096.k	$4$	$2$	$1$	$0.547$	\(\Q(\sqrt{-1}) \)	$D_{4}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$1$		\(q+iq^{2}+(1-i)q^{3}-q^{4}+(1+i)q^{6}+\cdots\)
1096.1.s.a	$1096$	$1$	1096.s	1096.s	$34$	$16$	$1$	$0.547$	\(\Q(\zeta_{34})\)	$D_{17}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-1\)	\(-2\)	\(0\)	\(0\)		$1$		\(q-\zeta_{34}^{7}q^{2}+(-\zeta_{34}^{3}+\zeta_{34}^{12})q^{3}+\cdots\)
1096.1.u.a	$1096$	$1$	1096.u	1096.u	$34$	$16$	$1$	$0.547$	\(\Q(\zeta_{34})\)	$D_{34}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{34}q^{2}+(\zeta_{34}^{9}-\zeta_{34}^{15})q^{3}+\zeta_{34}^{2}q^{4}+\cdots\)
1096.1.z.a	$1096$	$1$	1096.z	1096.z	$68$	$32$	$1$	$0.547$	\(\Q(\zeta_{68})\)	$D_{68}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)		$1$		\(q-\zeta_{68}^{13}q^{2}+(\zeta_{68}^{8}-\zeta_{68}^{15})q^{3}+\cdots\)
1096.2.a.a	$1096$	$2$	1096.a	1.a	$1$	$1$	$1$	$8.752$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-2\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{5}+4q^{7}+q^{9}-2q^{13}+\cdots\)
1096.2.a.b	$1096$	$2$	1096.a	1.a	$1$	$1$	$1$	$8.752$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{9}+4q^{11}-4q^{13}-2q^{17}+\cdots\)
1096.2.a.c	$1096$	$2$	1096.a	1.a	$1$	$1$	$1$	$8.752$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+2q^{7}-3q^{9}-5q^{11}-2q^{13}+\cdots\)
1096.2.a.d	$1096$	$2$	1096.a	1.a	$1$	$4$	$4$	$8.752$	4.4.4205.1	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(3\)	\(-6\)	\(-5\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-1-\beta _{2})q^{5}+(-2+\cdots)q^{7}+\cdots\)
1096.2.a.e	$1096$	$2$	1096.a	1.a	$1$	$8$	$8$	$8.752$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-7\)	\(-5\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(-1-\beta _{6})q^{5}+(-\beta _{3}+\cdots)q^{7}+\cdots\)
1096.2.a.f	$1096$	$2$	1096.a	1.a	$1$	$9$	$9$	$8.752$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(7\)	\(3\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+\beta _{7}q^{5}+(\beta _{4}+\beta _{6}+\beta _{7}+\cdots)q^{7}+\cdots\)
1096.2.a.g	$1096$	$2$	1096.a	1.a	$1$	$10$	$10$	$8.752$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-1\)	\(11\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(1-\beta _{9})q^{5}-\beta _{3}q^{7}+(2-\beta _{5}+\cdots)q^{9}+\cdots\)
1096.2.c.a	$1096$	$2$	1096.c	137.b	$2$	$16$	$16$	$8.752$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{3}+\beta _{10}q^{5}-\beta _{9}q^{7}+(-1+\beta _{2}+\cdots)q^{9}+\cdots\)
1096.2.c.b	$1096$	$2$	1096.c	137.b	$2$	$18$	$18$	$8.752$	\(\mathbb{Q}[x]/(x^{18} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$2^{5}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{3}-\beta _{10}q^{5}+\beta _{6}q^{7}+(-1+\beta _{2}+\cdots)q^{9}+\cdots\)
1096.2.i.a	$1096$	$2$	1096.i	137.c	$4$	$2$	$1$	$8.752$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(2\)	\(2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(1+i)q^{3}+(1-i)q^{5}+2iq^{7}-iq^{9}+\cdots\)
1096.2.i.b	$1096$	$2$	1096.i	137.c	$4$	$2$	$1$	$8.752$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(4\)	\(-4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(2+2i)q^{3}+(-2+2i)q^{5}+2iq^{7}+\cdots\)
1096.2.i.c	$1096$	$2$	1096.i	137.c	$4$	$32$	$16$	$8.752$		$_{}$	None	None		$2$	$0$	\(0\)	\(-6\)	\(8\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
1096.2.i.d	$1096$	$2$	1096.i	137.c	$4$	$34$	$17$	$8.752$		$_{}$	None	None		$2$	$0$	\(0\)	\(-2\)	\(-2\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
1096.4.a.a	$1096$	$4$	1096.a	1.a	$1$	$23$	$23$	$64.666$		$_{}$	None	None	✓	$1$	$1$	\(0\)	\(7\)	\(-37\)	\(-31\)	$-$		$\mathrm{SU}(2)$
1096.4.a.b	$1096$	$4$	1096.a	1.a	$1$	$25$	$25$	$64.666$		$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-19\)	\(-23\)	\(-21\)	$-$		$\mathrm{SU}(2)$
1096.4.a.c	$1096$	$4$	1096.a	1.a	$1$	$26$	$26$	$64.666$		$_{}$	None	None	✓	$1$	$0$	\(0\)	\(23\)	\(17\)	\(7\)	$+$		$\mathrm{SU}(2)$
1096.4.a.d	$1096$	$4$	1096.a	1.a	$1$	$28$	$28$	$64.666$		$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-5\)	\(33\)	\(-3\)	$+$		$\mathrm{SU}(2)$
1096.6.a.a	$1096$	$6$	1096.a	1.a	$1$	$40$	$40$	$175.781$		$_{}$	None	None	✓	$1$	$1$	\(0\)	\(23\)	\(-181\)	\(-147\)	$+$		$\mathrm{SU}(2)$
1096.6.a.b	$1096$	$6$	1096.a	1.a	$1$	$42$	$42$	$175.781$		$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-77\)	\(-69\)	\(-25\)	$+$		$\mathrm{SU}(2)$
1096.6.a.c	$1096$	$6$	1096.a	1.a	$1$	$43$	$43$	$175.781$		$_{}$	None	None	✓	$1$	$0$	\(0\)	\(49\)	\(131\)	\(171\)	$-$		$\mathrm{SU}(2)$
1096.6.a.d	$1096$	$6$	1096.a	1.a	$1$	$45$	$45$	$175.781$		$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-13\)	\(169\)	\(49\)	$-$		$\mathrm{SU}(2)$