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Results (16 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
616.1.g.a	$616$	$1$	616.g	616.g	$2$	$1$	$1$	$0.307$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-154}) \)	\(\Q(\sqrt{22}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)	$1$		\(q-q^{2}+q^{4}+q^{7}-q^{8}+q^{9}-q^{11}+\cdots\)
616.1.g.b	$616$	$1$	616.g	616.g	$2$	$1$	$1$	$0.307$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-154}) \)	\(\Q(\sqrt{22}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{2}+q^{4}-q^{7}+q^{8}+q^{9}-q^{11}+\cdots\)
616.1.z.a	$616$	$1$	616.z	616.z	$6$	$2$	$1$	$0.307$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{22}) \)		$4$	$0$	\(-1\)	\(-3\)	\(0\)	\(1\)	$1$		\(q-\zeta_{6}q^{2}+(-1-\zeta_{6})q^{3}+\zeta_{6}^{2}q^{4}+\cdots\)
616.1.z.b	$616$	$1$	616.z	616.z	$6$	$2$	$1$	$0.307$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{22}) \)		$4$	$0$	\(1\)	\(-3\)	\(0\)	\(-1\)	$1$		\(q+\zeta_{6}q^{2}+(-1-\zeta_{6})q^{3}+\zeta_{6}^{2}q^{4}+\cdots\)
704.1.b.a	$704$	$1$	704.b	88.b	$2$	$2$	$2$	$0.351$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-11}) \)	\(\Q(\sqrt{22}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{3}-3q^{9}-iq^{11}+q^{25}+4iq^{27}+\cdots\)
2200.1.w.a	$2200$	$1$	2200.w	440.w	$4$	$4$	$2$	$1.098$	\(\Q(\zeta_{8})\)	$D_{2}$	\(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-55}) \)	\(\Q(\sqrt{22}) \)		$16$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+\zeta_{8}q^{7}-\zeta_{8}^{3}q^{8}+\cdots\)
2464.1.g.a	$2464$	$1$	2464.g	616.g	$2$	$1$	$1$	$1.230$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-154}) \)	\(\Q(\sqrt{22}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-q^{7}+q^{9}+q^{11}-q^{25}+2q^{29}+\cdots\)
2464.1.g.b	$2464$	$1$	2464.g	616.g	$2$	$1$	$1$	$1.230$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-154}) \)	\(\Q(\sqrt{22}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{7}+q^{9}+q^{11}-q^{25}-2q^{29}+\cdots\)
2464.1.bh.a	$2464$	$1$	2464.bh	616.z	$6$	$2$	$1$	$1.230$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{22}) \)		$4$	$0$	\(0\)	\(3\)	\(0\)	\(-1\)	$1$		\(q+(1+\zeta_{6})q^{3}-\zeta_{6}q^{7}+(1+\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{9}+\cdots\)
2464.1.bh.b	$2464$	$1$	2464.bh	616.z	$6$	$2$	$1$	$1.230$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{22}) \)		$4$	$0$	\(0\)	\(3\)	\(0\)	\(1\)	$1$		\(q+(1+\zeta_{6})q^{3}+\zeta_{6}q^{7}+(1+\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{9}+\cdots\)
2816.1.h.a	$2816$	$1$	2816.h	11.b	$2$	$1$	$1$	$1.405$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-11}) \)	\(\Q(\sqrt{22}) \)	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-2q^{3}+3q^{9}+q^{11}-q^{25}-4q^{27}+\cdots\)
2816.1.h.b	$2816$	$1$	2816.h	11.b	$2$	$1$	$1$	$1.405$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-11}) \)	\(\Q(\sqrt{22}) \)	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+2q^{3}+3q^{9}-q^{11}-q^{25}+4q^{27}+\cdots\)
3432.1.i.a	$3432$	$1$	3432.i	3432.i	$2$	$1$	$1$	$1.713$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-39}) \), \(\Q(\sqrt{-858}) \)	\(\Q(\sqrt{22}) \)	✓	$4$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
3432.1.i.b	$3432$	$1$	3432.i	3432.i	$2$	$1$	$1$	$1.713$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-39}) \), \(\Q(\sqrt{-858}) \)	\(\Q(\sqrt{22}) \)	✓	$4$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
3432.1.i.c	$3432$	$1$	3432.i	3432.i	$2$	$1$	$1$	$1.713$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-39}) \), \(\Q(\sqrt{-858}) \)	\(\Q(\sqrt{22}) \)	✓	$4$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
3432.1.i.d	$3432$	$1$	3432.i	3432.i	$2$	$1$	$1$	$1.713$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-39}) \), \(\Q(\sqrt{-858}) \)	\(\Q(\sqrt{22}) \)	✓	$4$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)