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Results (10 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
291.1.c.a	$291$	$1$	291.c	291.c	$2$	$1$	$1$	$0.145$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-291}) \)	\(\Q(\sqrt{97}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}+q^{9}-q^{12}+q^{16}-q^{25}+\cdots\)
388.1.b.a	$388$	$1$	388.b	388.b	$2$	$1$	$1$	$0.194$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-97}) \)	\(\Q(\sqrt{97}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{18}+\cdots\)
776.1.h.a	$776$	$1$	776.h	776.h	$2$	$1$	$1$	$0.387$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-194}) \)	\(\Q(\sqrt{97}) \)	✓	$4$	$0$	\(-1\)	\(2\)	\(0\)	\(0\)	$1$		\(q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{8}+3q^{9}+\cdots\)
1067.1.b.a	$1067$	$1$	1067.b	1067.b	$2$	$1$	$1$	$0.533$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-1067}) \)	\(\Q(\sqrt{97}) \)	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-2q^{3}+q^{4}+3q^{9}-q^{11}-2q^{12}+\cdots\)
2328.1.e.a	$2328$	$1$	2328.e	2328.e	$2$	$1$	$1$	$1.162$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-582}) \)	\(\Q(\sqrt{97}) \)	✓	$4$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
2328.1.e.b	$2328$	$1$	2328.e	2328.e	$2$	$1$	$1$	$1.162$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-582}) \)	\(\Q(\sqrt{97}) \)	✓	$4$	$0$	\(1\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
3007.1.b.a	$3007$	$1$	3007.b	3007.b	$2$	$1$	$1$	$1.501$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-3007}) \)	\(\Q(\sqrt{97}) \)	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-2q^{2}+3q^{4}-4q^{8}+q^{9}+5q^{16}+\cdots\)
3007.1.w.a	$3007$	$1$	3007.w	3007.w	$6$	$2$	$1$	$1.501$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{97}) \)		$4$	$0$	\(2\)	\(3\)	\(0\)	\(0\)	$1$		\(q+q^{2}+(1+\zeta_{6})q^{3}+(1+\zeta_{6})q^{6}-q^{8}+\cdots\)
3104.1.h.a	$3104$	$1$	3104.h	776.h	$2$	$1$	$1$	$1.549$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-194}) \)	\(\Q(\sqrt{97}) \)	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-2q^{3}+3q^{9}+2q^{11}-q^{25}-4q^{27}+\cdots\)
3492.1.d.a	$3492$	$1$	3492.d	388.b	$2$	$1$	$1$	$1.743$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-97}) \)	\(\Q(\sqrt{97}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{8}+q^{16}+q^{25}+q^{32}+\cdots\)