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Results (24 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2312.1.q.a	$2312$	$1$	2312.q	136.q	$16$	$16$	$2$	$1.154$	\(\Q(\zeta_{32})\)	$D_{4}$	None	\(\Q(\sqrt{34}) \)		$32$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{4}$		\(q-\zeta_{32}^{2}q^{2}+(-\zeta_{32}^{3}-\zeta_{32}^{11})q^{3}+\cdots\)
2420.1.n.h	$2420$	$1$	2420.n	220.n	$10$	$8$	$2$	$1.208$	\(\Q(\zeta_{20})\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-55}) \)	\(\Q(\sqrt{55}) \)		$32$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\zeta_{20}^{3}q^{2}+\zeta_{20}^{6}q^{4}-\zeta_{20}^{2}q^{5}+\cdots\)
2420.1.n.j	$2420$	$1$	2420.n	220.n	$10$	$16$	$4$	$1.208$	\(\Q(\zeta_{60})\)	$D_{6}$	\(\Q(\sqrt{-1}) \)	None		$32$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+\zeta_{60}^{9}q^{2}+\zeta_{60}^{18}q^{4}-\zeta_{60}^{26}q^{5}+\cdots\)
2420.1.x.a	$2420$	$1$	2420.x	220.w	$20$	$16$	$2$	$1.208$	\(\Q(\zeta_{40})\)	$D_{4}$	\(\Q(\sqrt{-1}) \)	None		$32$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)	$1$		\(q+\zeta_{40}^{13}q^{2}-\zeta_{40}^{6}q^{4}-\zeta_{40}^{12}q^{5}+\cdots\)
2420.1.x.b	$2420$	$1$	2420.x	220.w	$20$	$32$	$4$	$1.208$	\(\Q(\zeta_{120})\)	$D_{12}$	\(\Q(\sqrt{-1}) \)	None		$32$	$0$	\(0\)	\(0\)	\(4\)	\(0\)	$1$		\(q+\zeta_{120}^{27}q^{2}+\zeta_{120}^{54}q^{4}-\zeta_{120}^{28}q^{5}+\cdots\)
2541.1.r.e	$2541$	$1$	2541.r	231.r	$10$	$16$	$4$	$1.268$	\(\Q(\zeta_{40})\)	$D_{4}$	\(\Q(\sqrt{-3}) \)	None		$32$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{40}^{14}q^{3}-\zeta_{40}^{16}q^{4}-\zeta_{40}^{11}q^{7}+\cdots\)
2541.1.bh.c	$2541$	$1$	2541.bh	231.z	$30$	$16$	$2$	$1.268$	\(\Q(\zeta_{60})\)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$32$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-\zeta_{60}^{28}q^{3}-\zeta_{60}^{22}q^{4}-\zeta_{60}^{7}q^{7}+\cdots\)
2541.1.bn.a	$2541$	$1$	2541.bn	231.af	$30$	$32$	$4$	$1.268$	\(\Q(\zeta_{120})\)	$D_{12}$	\(\Q(\sqrt{-3}) \)	None		$32$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{120}^{22}q^{3}+\zeta_{120}^{28}q^{4}+\zeta_{120}^{43}q^{7}+\cdots\)
2601.1.p.a	$2601$	$1$	2601.p	17.e	$16$	$8$	$1$	$1.298$	\(\Q(\zeta_{16})\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-51}) \)	\(\Q(\sqrt{17}) \)		$32$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{16}^{6}q^{4}-\zeta_{16}^{2}q^{13}-\zeta_{16}^{4}q^{16}+\cdots\)
2601.1.p.b	$2601$	$1$	2601.p	17.e	$16$	$16$	$2$	$1.298$	16.0.\(\cdots\).2	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$32$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\beta _{12}q^{4}+\beta _{3}q^{7}+\beta _{4}q^{13}-\beta _{8}q^{16}+\cdots\)
2601.1.x.a	$2601$	$1$	2601.x	153.t	$48$	$32$	$2$	$1.298$	\(\Q(\zeta_{96})\)	$A_{4}$	None	None		$32$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{96}^{38}q^{2}-\zeta_{96}^{21}q^{3}+\zeta_{96}^{25}q^{5}+\cdots\)
2883.1.o.e	$2883$	$1$	2883.o	93.o	$30$	$32$	$4$	$1.439$	\(\Q(\zeta_{120})\)	$S_{4}$	None	None		$32$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$1$		\(q-\zeta_{120}^{42}q^{2}+\zeta_{120}^{43}q^{3}+\zeta_{120}^{50}q^{5}+\cdots\)
2904.1.r.i	$2904$	$1$	2904.r	264.r	$10$	$16$	$4$	$1.449$	\(\Q(\zeta_{40})\)	$D_{4}$	None	\(\Q(\sqrt{6}) \)		$32$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)	$2^{4}$		\(q+\zeta_{40}^{2}q^{2}+\zeta_{40}^{16}q^{3}+\zeta_{40}^{4}q^{4}+\cdots\)
3468.1.t.a	$3468$	$1$	3468.t	204.t	$16$	$16$	$2$	$1.731$	\(\Q(\zeta_{32})\)	$D_{4}$	\(\Q(\sqrt{-17}) \)	None		$32$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{32}^{10}q^{2}-\zeta_{32}^{3}q^{3}-\zeta_{32}^{4}q^{4}+\cdots\)
3468.1.t.b	$3468$	$1$	3468.t	204.t	$16$	$16$	$2$	$1.731$	\(\Q(\zeta_{32})\)	$D_{4}$	\(\Q(\sqrt{-17}) \)	None		$32$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{32}^{10}q^{2}-\zeta_{32}^{11}q^{3}-\zeta_{32}^{4}q^{4}+\cdots\)
3675.1.bf.a	$3675$	$1$	3675.bf	105.w	$12$	$8$	$2$	$1.834$	\(\Q(\zeta_{24})\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-35}) \)	\(\Q(\sqrt{105}) \)		$32$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{24}^{7}q^{3}-\zeta_{24}^{10}q^{4}-\zeta_{24}^{2}q^{9}+\cdots\)
3844.1.n.a	$3844$	$1$	3844.n	124.n	$30$	$8$	$1$	$1.918$	\(\Q(\zeta_{15})\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-31}) \)	\(\Q(\sqrt{31}) \)		$32$	$0$	\(-2\)	\(0\)	\(8\)	\(0\)	$1$		\(q-\zeta_{30}^{9}q^{2}-\zeta_{30}^{3}q^{4}+\zeta_{30}^{5}q^{5}+\cdots\)
3844.1.n.d	$3844$	$1$	3844.n	124.n	$30$	$16$	$2$	$1.918$	16.0.\(\cdots\).2	$D_{4}$	\(\Q(\sqrt{-1}) \)	None		$32$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-1-\beta _{10}+\beta _{14}+\beta _{15})q^{2}+\beta _{10}q^{4}+\cdots\)
3844.1.n.g	$3844$	$1$	3844.n	124.n	$30$	$32$	$4$	$1.918$	32.0.\(\cdots\).1	$D_{8}$	\(\Q(\sqrt{-1}) \)	None		$32$	$0$	\(8\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{12}q^{2}-\beta _{23}q^{4}+(-\beta _{2}-\beta _{18}+\cdots)q^{5}+\cdots\)
867.2.i.a	$867$	$2$	867.i	51.i	$16$	$16$	$2$	$6.923$	16.0.\(\cdots\).2	$_{}$	\(\Q(\sqrt{-51}) \)	None		$32$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{16}]$	\(q+\beta _{5}q^{3}+2\beta _{12}q^{4}-\beta _{9}q^{5}+3\beta _{10}q^{9}+\cdots\)
867.2.i.e	$867$	$2$	867.i	51.i	$16$	$32$	$4$	$6.923$		$_{}$	None	None		$32$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{16}]$
867.2.i.j	$867$	$2$	867.i	51.i	$16$	$48$	$6$	$6.923$		$_{}$	\(\Q(\sqrt{-3}) \)	None		$32$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{U}(1)[D_{16}]$
867.2.i.k	$867$	$2$	867.i	51.i	$16$	$96$	$12$	$6.923$		$_{}$	None	None		$32$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{16}]$
867.2.i.l	$867$	$2$	867.i	51.i	$16$	$192$	$24$	$6.923$		$_{}$	None	None		$32$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{16}]$