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Results (9 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
331.1.b.a	$331$	$1$	331.b	331.b	$2$	$1$	$1$	$0.165$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-331}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}+q^{9}+q^{16}-q^{17}-q^{19}+\cdots\)
1324.1.b.a	$1324$	$1$	1324.b	331.b	$2$	$3$	$3$	$0.661$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-331}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{5}+q^{9}+(\beta _{1}-\beta _{2})q^{17}+\beta _{2}q^{19}+\cdots\)
1655.1.d.a	$1655$	$1$	1655.d	1655.d	$2$	$1$	$1$	$0.826$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-331}) \), \(\Q(\sqrt{-1655}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{4}-q^{5}-q^{9}+q^{16}+2q^{19}+q^{20}+\cdots\)
1655.1.d.b	$1655$	$1$	1655.d	1655.d	$2$	$2$	$2$	$0.826$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-331}) \)	None		$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{4}-\zeta_{6}^{2}q^{5}-q^{9}+q^{16}+(-\zeta_{6}+\cdots)q^{17}+\cdots\)
2979.1.c.a	$2979$	$1$	2979.c	331.b	$2$	$1$	$1$	$1.487$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-331}) \)	\(\Q(\sqrt{993}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}+q^{16}+2q^{19}-q^{25}-2q^{31}+\cdots\)
2979.1.c.b	$2979$	$1$	2979.c	331.b	$2$	$1$	$1$	$1.487$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-331}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{4}+q^{5}+q^{16}+q^{17}-q^{19}+q^{20}+\cdots\)
2979.1.c.e	$2979$	$1$	2979.c	331.b	$2$	$2$	$2$	$1.487$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-331}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}-\beta q^{5}+q^{16}+\beta q^{17}-q^{19}+\cdots\)
331.3.b.a	$331$	$3$	331.b	331.b	$2$	$3$	$3$	$9.019$	3.3.993.1	$_{}$	\(\Q(\sqrt{-331}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$3$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{4}+(-\beta _{1}-\beta _{2})q^{5}+9q^{9}+2^{4}q^{16}+\cdots\)
1324.3.b.a	$1324$	$3$	1324.b	331.b	$2$	$6$	$6$	$36.076$	6.6.\(\cdots\).2	$_{}$	\(\Q(\sqrt{-331}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q+(\beta _{3}-\beta _{4})q^{5}+9q^{9}+(3\beta _{3}+\beta _{4}+\beta _{5})q^{17}+\cdots\)