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Results (15 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3997.1.n.a	$3997$	$1$	3997.n	3997.n	$6$	$2$	$1$	$1.995$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(1\)	\(0\)	\(0\)	\(2\)		$1$		\(q-\zeta_{6}^{2}q^{2}+q^{7}+q^{8}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{11}+\cdots\)
3997.1.n.b	$3997$	$1$	3997.n	3997.n	$6$	$4$	$2$	$1.995$	\(\Q(\sqrt{-2}, \sqrt{-3})\)	$S_{4}$	None	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(4\)		$1$		\(q+(-1+\beta _{2})q^{2}+\beta _{1}q^{5}+q^{7}-q^{8}+\cdots\)
3997.1.n.c	$3997$	$1$	3997.n	3997.n	$6$	$4$	$2$	$1.995$	\(\Q(\zeta_{12})\)	$A_{4}$	None	None		$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{12}^{2}q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{5}q^{5}-\zeta_{12}^{3}q^{6}+\cdots\)
3997.1.x.a	$3997$	$1$	3997.x	3997.x	$10$	$4$	$1$	$1.995$	\(\Q(\zeta_{10})\)	$D_{5}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-1\)		$1$		\(q+(\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(1-\zeta_{10}+\zeta_{10}^{4}+\cdots)q^{4}+\cdots\)
3997.1.bf.a	$3997$	$1$	3997.bf	3997.af	$30$	$8$	$1$	$1.995$	\(\Q(\zeta_{15})\)	$D_{15}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(0\)	\(-2\)		$1$		\(q+(\zeta_{30}^{8}+\zeta_{30}^{12})q^{2}+(-\zeta_{30}-\zeta_{30}^{5}+\cdots)q^{4}+\cdots\)
3997.1.bp.a	$3997$	$1$	3997.bp	3997.ap	$38$	$18$	$1$	$1.995$	\(\Q(\zeta_{38})\)	$D_{19}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-1\)		$1$		\(q+(-\zeta_{38}^{3}+\zeta_{38}^{8})q^{2}+(\zeta_{38}^{6}-\zeta_{38}^{11}+\cdots)q^{4}+\cdots\)
3997.1.ce.a	$3997$	$1$	3997.ce	3997.be	$114$	$36$	$1$	$1.995$	\(\Q(\zeta_{57})\)	$D_{57}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(0\)	\(-2\)		$1$		\(q+(\zeta_{114}^{24}-\zeta_{114}^{47})q^{2}+(\zeta_{114}^{14}-\zeta_{114}^{37}+\cdots)q^{4}+\cdots\)
3997.1.cj.a	$3997$	$1$	3997.cj	3997.bj	$190$	$72$	$1$	$1.995$	\(\Q(\zeta_{95})\)	$D_{95}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(2\)	\(0\)	\(0\)	\(1\)		$1$		\(q+(-\zeta_{190}^{29}-\zeta_{190}^{71})q^{2}+(-\zeta_{190}^{5}+\cdots)q^{4}+\cdots\)
3997.1.cz.a	$3997$	$1$	3997.cz	3997.bz	$570$	$144$	$1$	$1.995$	\(\Q(\zeta_{570})\)	$D_{285}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(1\)	\(0\)	\(0\)	\(2\)		$1$		\(q+(-\zeta_{570}^{201}+\zeta_{570}^{244})q^{2}+(-\zeta_{570}^{117}+\cdots)q^{4}+\cdots\)
3997.2.a.a	$3997$	$2$	3997.a	1.a	$1$	$1$	$1$	$31.916$	\(\Q\)	$_{}$	None	None	✓	$1$	$2$	\(0\)	\(0\)	\(-2\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-2q^{5}-q^{7}-3q^{9}+q^{11}+\cdots\)
3997.2.a.b	$3997$	$2$	3997.a	1.a	$1$	$1$	$1$	$31.916$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(1\)	\(-2\)	\(0\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-2q^{3}-q^{4}-2q^{6}+q^{7}-3q^{8}+\cdots\)
3997.2.a.c	$3997$	$2$	3997.a	1.a	$1$	$63$	$63$	$31.916$		$_{}$	None	None	✓	$1$	$1$	\(-21\)	\(-14\)	\(-16\)	\(63\)	$+$		$\mathrm{SU}(2)$
3997.2.a.d	$3997$	$2$	3997.a	1.a	$1$	$68$	$68$	$31.916$		$_{}$	None	None	✓	$1$	$0$	\(13\)	\(18\)	\(18\)	\(-68\)	$-$		$\mathrm{SU}(2)$
3997.2.a.e	$3997$	$2$	3997.a	1.a	$1$	$73$	$73$	$31.916$		$_{}$	None	None	✓	$1$	$1$	\(-12\)	\(-18\)	\(-22\)	\(-73\)	$+$		$\mathrm{SU}(2)$
3997.2.a.f	$3997$	$2$	3997.a	1.a	$1$	$79$	$79$	$31.916$		$_{}$	None	None	✓	$1$	$0$	\(20\)	\(16\)	\(16\)	\(79\)	$-$		$\mathrm{SU}(2)$