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Results (5 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1992.1.be.a	$1992$	$1$	1992.be	1992.ae	$82$	$40$	$1$	$0.994$	\(\Q(\zeta_{82})\)	$D_{82}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-1\)	\(1\)	\(0\)	\(0\)	$1$		\(q-\zeta_{82}^{25}q^{2}-\zeta_{82}^{6}q^{3}-\zeta_{82}^{9}q^{4}+\cdots\)
1992.1.be.b	$1992$	$1$	1992.be	1992.ae	$82$	$40$	$1$	$0.994$	\(\Q(\zeta_{82})\)	$D_{82}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(1\)	\(1\)	\(0\)	\(0\)	$1$		\(q+\zeta_{82}^{25}q^{2}+\zeta_{82}^{27}q^{3}-\zeta_{82}^{9}q^{4}+\cdots\)
3237.1.ba.c	$3237$	$1$	3237.ba	3237.aa	$82$	$80$	$2$	$1.615$	\(\Q(\zeta_{164})\)	$D_{82}$	\(\Q(\sqrt{-39}) \)	None		$8$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{164}^{31}-\zeta_{164}^{73})q^{2}+\zeta_{164}^{54}q^{3}+\cdots\)
3735.1.ba.a	$3735$	$1$	3735.ba	415.h	$82$	$40$	$1$	$1.864$	\(\Q(\zeta_{82})\)	$D_{82}$	\(\Q(\sqrt{-15}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(1\)	\(0\)	$1$		\(q+(-\zeta_{82}^{9}+\zeta_{82}^{26})q^{2}+(-\zeta_{82}^{11}+\cdots)q^{4}+\cdots\)
3735.1.ba.b	$3735$	$1$	3735.ba	415.h	$82$	$40$	$1$	$1.864$	\(\Q(\zeta_{82})\)	$D_{82}$	\(\Q(\sqrt{-15}) \)	None		$4$	$0$	\(2\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+(\zeta_{82}^{9}-\zeta_{82}^{26})q^{2}+(-\zeta_{82}^{11}+\zeta_{82}^{18}+\cdots)q^{4}+\cdots\)