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Results (5 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
4032.2.h.a	$4032$	$2$	4032.h	12.b	$2$	$4$	$4$	$32.196$	\(\Q(\zeta_{8})\)	None		$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)	$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-2\zeta_{8}^{2}q^{5}+\zeta_{8}q^{7}-\zeta_{8}^{3}q^{11}-6q^{13}+\cdots\)
4032.2.h.b	$4032$	$2$	4032.h	12.b	$2$	$4$	$4$	$32.196$	\(\Q(\zeta_{8})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+\zeta_{8}^{2}q^{5}+\zeta_{8}q^{7}+2\zeta_{8}^{3}q^{11}+5\zeta_{8}^{2}q^{17}+\cdots\)
4032.2.h.c	$4032$	$2$	4032.h	12.b	$2$	$4$	$4$	$32.196$	\(\Q(\zeta_{8})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-2\zeta_{8}^{2}q^{5}+\zeta_{8}q^{7}+\zeta_{8}^{3}q^{11}+2q^{13}+\cdots\)
4032.2.h.d	$4032$	$2$	4032.h	12.b	$2$	$4$	$4$	$32.196$	\(\Q(\zeta_{8})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+\zeta_{8}q^{7}+3\zeta_{8}^{3}q^{11}+2q^{13}+2\zeta_{8}^{2}q^{17}+\cdots\)
4032.2.h.e	$4032$	$2$	4032.h	12.b	$2$	$4$	$4$	$32.196$	\(\Q(\zeta_{8})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-\zeta_{8}^{2}q^{5}+\zeta_{8}q^{7}+4\zeta_{8}^{3}q^{11}+4q^{13}+\cdots\)