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Results (4 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3791.1.d.a	$3791$	$1$	3791.d	3791.d	$2$	$1$	$1$	$1.892$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-223}) \), \(\Q(\sqrt{-3791}) \)	\(\Q(\sqrt{17}) \)	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-2q^{2}+3q^{4}-4q^{8}-q^{9}+5q^{16}+\cdots\)
3791.1.d.c	$3791$	$1$	3791.d	3791.d	$2$	$8$	$8$	$1.892$	\(\Q(\zeta_{34})^+\)	$D_{17}$	\(\Q(\sqrt{-3791}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q-\beta _{7}q^{2}+\beta _{6}q^{3}+(1-\beta _{3})q^{4}-\beta _{3}q^{5}+\cdots\)
3791.1.d.d	$3791$	$1$	3791.d	3791.d	$2$	$8$	$8$	$1.892$	\(\Q(\zeta_{34})^+\)	$D_{17}$	\(\Q(\sqrt{-3791}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(1\)	\(0\)	$1$		\(q+(-1+\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{5}+\cdots)q^{2}+\cdots\)
3791.1.d.e	$3791$	$1$	3791.d	3791.d	$2$	$16$	$16$	$1.892$	\(\Q(\zeta_{68})^+\)	$D_{34}$	\(\Q(\sqrt{-3791}) \)	None	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(1-\beta _{2}+\beta _{4}-\beta _{6}+\beta _{8}-\beta _{10}+\beta _{12}+\cdots)q^{2}+\cdots\)