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Results (6 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
363.2.f.a	$363$	$2$	363.f	33.f	$10$	$8$	$2$	$2.899$	8.0.64000000.1	None		$8$	$0$	\(-2\)	\(-2\)	\(0\)	\(0\)	$1$	$\mathrm{SU}(2)[C_{10}]$	\(q-\beta _{6}q^{2}+(-1+\beta _{2}-\beta _{3}-\beta _{4}+\beta _{6}+\cdots)q^{3}+\cdots\)
363.2.f.b	$363$	$2$	363.f	33.f	$10$	$8$	$2$	$2.899$	\(\Q(\zeta_{20})\)	None		$4$	$0$	\(0\)	\(-6\)	\(0\)	\(10\)	$1$	$\mathrm{SU}(2)[C_{10}]$	\(q+(-\zeta_{20}^{5}-\zeta_{20}^{7})q^{2}+(-1-\zeta_{20}+\cdots)q^{3}+\cdots\)
363.2.f.c	$363$	$2$	363.f	33.f	$10$	$8$	$2$	$2.899$	8.0.228765625.1	\(\Q(\sqrt{-11}) \)		$16$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{10}]$	\(q-\beta _{1}q^{3}-2\beta _{7}q^{4}+(-\beta _{4}-2\beta _{5})q^{5}+\cdots\)
363.2.f.d	$363$	$2$	363.f	33.f	$10$	$8$	$2$	$2.899$	\(\Q(\zeta_{20})\)	None		$4$	$0$	\(0\)	\(4\)	\(0\)	\(10\)	$1$	$\mathrm{SU}(2)[C_{10}]$	\(q+(-\zeta_{20}-\zeta_{20}^{7})q^{2}+(1+\zeta_{20}-\zeta_{20}^{2}+\cdots)q^{3}+\cdots\)
363.2.f.e	$363$	$2$	363.f	33.f	$10$	$8$	$2$	$2.899$	\(\Q(\zeta_{20})\)	None		$4$	$0$	\(0\)	\(4\)	\(0\)	\(-10\)	$1$	$\mathrm{SU}(2)[C_{10}]$	\(q+(-\zeta_{20}-\zeta_{20}^{7})q^{2}+(1-\zeta_{20}-\zeta_{20}^{2}+\cdots)q^{3}+\cdots\)
363.2.f.f	$363$	$2$	363.f	33.f	$10$	$8$	$2$	$2.899$	8.0.64000000.1	None		$8$	$0$	\(2\)	\(-2\)	\(0\)	\(0\)	$1$	$\mathrm{SU}(2)[C_{10}]$	\(q+(1-\beta _{2}+\beta _{4}-\beta _{6})q^{2}+(\beta _{1}-\beta _{3}+\cdots)q^{3}+\cdots\)