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Results (11 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2872.1.b.a	$2872$	$1$	2872.b	2872.b	$2$	$1$	$1$	$1.433$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-359}) \), \(\Q(\sqrt{-718}) \)	\(\Q(\sqrt{2}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)		$1$		\(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-2q^{17}+\cdots\)
2872.1.b.b	$2872$	$1$	2872.b	2872.b	$2$	$1$	$1$	$1.433$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-718}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(0\)		$1$		\(q+q^{2}+q^{4}+q^{8}+q^{9}-q^{13}+q^{16}+\cdots\)
2872.1.b.c	$2872$	$1$	2872.b	2872.b	$2$	$1$	$1$	$1.433$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-718}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(0\)		$1$		\(q+q^{2}+q^{4}+q^{8}+q^{9}+q^{13}+q^{16}+\cdots\)
2872.1.b.d	$2872$	$1$	2872.b	2872.b	$2$	$2$	$2$	$1.433$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-718}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)		$1$		\(q-q^{2}+q^{4}-q^{8}+q^{9}-\beta q^{13}+q^{16}+\cdots\)
2872.1.b.e	$2872$	$1$	2872.b	2872.b	$2$	$18$	$18$	$1.433$	\(\Q(\zeta_{38})\)	$D_{38}$	\(\Q(\sqrt{-359}) \)	None		$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{38}^{13}q^{2}+(-\zeta_{38}^{8}-\zeta_{38}^{11})q^{3}+\cdots\)
2872.2.a.a	$2872$	$2$	2872.a	1.a	$1$	$2$	$2$	$22.933$	\(\Q(\sqrt{2}) \)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-6\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+q^{5}+(-3+\beta )q^{7}-q^{9}+4q^{11}+\cdots\)
2872.2.a.b	$2872$	$2$	2872.a	1.a	$1$	$5$	$5$	$22.933$	5.5.1244696.1	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(1\)	\(1\)	\(6\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{3}+\beta _{3}q^{5}+(1-\beta _{1})q^{7}+(2-\beta _{1}+\cdots)q^{9}+\cdots\)
2872.2.a.c	$2872$	$2$	2872.a	1.a	$1$	$19$	$19$	$22.933$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-15\)	\(5\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1-\beta _{11})q^{5}-\beta _{14}q^{7}+\cdots\)
2872.2.a.d	$2872$	$2$	2872.a	1.a	$1$	$19$	$19$	$22.933$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(7\)	\(0\)	\(3\)	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{10}q^{5}+\beta _{15}q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
2872.2.a.e	$2872$	$2$	2872.a	1.a	$1$	$21$	$21$	$22.933$		$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-8\)	\(-1\)	\(-9\)	$+$		$\mathrm{SU}(2)$
2872.2.a.f	$2872$	$2$	2872.a	1.a	$1$	$24$	$24$	$22.933$		$_{}$	None	None	✓	$1$	$0$	\(0\)	\(2\)	\(13\)	\(1\)	$-$		$\mathrm{SU}(2)$