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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
776.1.h.a	$776$	$1$	776.h	776.h	$2$	$1$	$1$	$0.387$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-194}) \)	\(\Q(\sqrt{97}) \)	✓	$4$	$0$	\(-1\)	\(2\)	\(0\)	\(0\)	$1$		\(q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{8}+3q^{9}+\cdots\)
776.1.h.b	$776$	$1$	776.h	776.h	$2$	$2$	$2$	$0.387$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-194}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
776.1.h.c	$776$	$1$	776.h	776.h	$2$	$2$	$2$	$0.387$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-194}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(1\)	\(1\)	$1$		\(q+q^{2}+(-1+\beta )q^{3}+q^{4}+(1-\beta )q^{5}+\cdots\)
776.1.h.d	$776$	$1$	776.h	776.h	$2$	$4$	$4$	$0.387$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-194}) \)	None	✓	$4$	$0$	\(-4\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{2}+\beta _{2}q^{3}+q^{4}-\beta _{1}q^{5}-\beta _{2}q^{6}+\cdots\)
3104.1.h.a	$3104$	$1$	3104.h	776.h	$2$	$1$	$1$	$1.549$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-194}) \)	\(\Q(\sqrt{97}) \)	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-2q^{3}+3q^{9}+2q^{11}-q^{25}-4q^{27}+\cdots\)
3104.1.h.b	$3104$	$1$	3104.h	776.h	$2$	$2$	$2$	$1.549$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-194}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-1\)	\(1\)	$1$		\(q+(1-\beta )q^{3}+(-1+\beta )q^{5}+\beta q^{7}+(1+\cdots)q^{9}+\cdots\)
3104.1.h.c	$3104$	$1$	3104.h	776.h	$2$	$2$	$2$	$1.549$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-194}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(-1\)	$1$		\(q+(1-\beta )q^{3}+(1-\beta )q^{5}-\beta q^{7}+(1-\beta )q^{9}+\cdots\)
3104.1.h.d	$3104$	$1$	3104.h	776.h	$2$	$4$	$4$	$1.549$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-194}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q-\beta _{2}q^{3}-\beta _{1}q^{5}-\beta _{3}q^{7}-\beta _{2}q^{9}+\cdots\)
3880.1.e.e	$3880$	$1$	3880.e	3880.e	$2$	$4$	$4$	$1.936$	\(\Q(\zeta_{8})\)	$D_{4}$	\(\Q(\sqrt{-194}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{8}^{2}q^{2}-q^{4}-\zeta_{8}q^{5}+(-\zeta_{8}-\zeta_{8}^{3}+\cdots)q^{7}+\cdots\)
3880.1.e.f	$3880$	$1$	3880.e	3880.e	$2$	$16$	$16$	$1.936$	\(\Q(\zeta_{40})\)	$D_{20}$	\(\Q(\sqrt{-194}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{40}^{10}q^{2}+(\zeta_{40}^{4}+\zeta_{40}^{16})q^{3}+\cdots\)