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Results (8 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3399.1.h.a	$3399$	$1$	3399.h	3399.h	$2$	$1$	$1$	$1.696$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-3399}) \)	\(\Q(\sqrt{309}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(2\)	\(0\)	$1$		\(q-q^{3}-q^{4}+2q^{5}+q^{9}+q^{11}+q^{12}+\cdots\)
3399.1.h.b	$3399$	$1$	3399.h	3399.h	$2$	$1$	$1$	$1.696$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-3399}) \)	\(\Q(\sqrt{309}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(-2\)	\(0\)	$1$		\(q+q^{3}-q^{4}-2q^{5}+q^{9}-q^{11}-q^{12}+\cdots\)
3399.1.h.c	$3399$	$1$	3399.h	3399.h	$2$	$2$	$2$	$1.696$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3399}) \)	None	✓	$2$	$0$	\(-1\)	\(-2\)	\(1\)	\(0\)	$1$		\(q+(-1+\beta )q^{2}-q^{3}+(1-\beta )q^{4}+(1+\cdots)q^{5}+\cdots\)
3399.1.h.d	$3399$	$1$	3399.h	3399.h	$2$	$2$	$2$	$1.696$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3399}) \)	None	✓	$2$	$0$	\(-1\)	\(2\)	\(-1\)	\(0\)	$1$		\(q-\beta q^{2}+q^{3}+\beta q^{4}-\beta q^{5}-\beta q^{6}+\cdots\)
3399.1.h.e	$3399$	$1$	3399.h	3399.h	$2$	$2$	$2$	$1.696$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3399}) \)	None	✓	$2$	$0$	\(1\)	\(-2\)	\(1\)	\(0\)	$1$		\(q+\beta q^{2}-q^{3}+\beta q^{4}+\beta q^{5}-\beta q^{6}+\cdots\)
3399.1.h.f	$3399$	$1$	3399.h	3399.h	$2$	$2$	$2$	$1.696$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3399}) \)	None	✓	$2$	$0$	\(1\)	\(2\)	\(-1\)	\(0\)	$1$		\(q+(1-\beta )q^{2}+q^{3}+(1-\beta )q^{4}+(-1+\cdots)q^{5}+\cdots\)
3399.1.h.g	$3399$	$1$	3399.h	3399.h	$2$	$4$	$4$	$1.696$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-3399}) \)	None	✓	$4$	$0$	\(0\)	\(-4\)	\(-2\)	\(0\)	$1$		\(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+\beta _{2}q^{5}+\cdots\)
3399.1.h.h	$3399$	$1$	3399.h	3399.h	$2$	$4$	$4$	$1.696$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-3399}) \)	None	✓	$4$	$0$	\(0\)	\(4\)	\(2\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-\beta _{2}q^{5}+\cdots\)