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Results (8 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3912.1.i.a	$3912$	$1$	3912.i	3912.i	$2$	$1$	$1$	$1.952$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-978}) \)	None	✓	✓			3912.1.i.a	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\cdots\)
3912.1.i.b	$3912$	$1$	3912.i	3912.i	$2$	$1$	$1$	$1.952$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-978}) \)	None	✓	✓			3912.1.i.a	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(1\)	$1$		\(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)
3912.1.i.c	$3912$	$1$	3912.i	3912.i	$2$	$1$	$1$	$1.952$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-978}) \)	\(\Q(\sqrt{489}) \)	✓	✓			3912.1.i.c	$4$	$0$	\(-1\)	\(1\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
3912.1.i.d	$3912$	$1$	3912.i	3912.i	$2$	$1$	$1$	$1.952$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-978}) \)	\(\Q(\sqrt{489}) \)	✓	✓			3912.1.i.c	$4$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
3912.1.i.e	$3912$	$1$	3912.i	3912.i	$2$	$1$	$1$	$1.952$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-978}) \)	None	✓	✓			3912.1.i.a	$2$	$0$	\(1\)	\(1\)	\(0\)	\(-1\)	$1$		\(q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots\)
3912.1.i.f	$3912$	$1$	3912.i	3912.i	$2$	$1$	$1$	$1.952$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-978}) \)	None	✓	✓			3912.1.i.a	$2$	$0$	\(1\)	\(1\)	\(0\)	\(1\)	$1$		\(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots\)
3912.1.i.g	$3912$	$1$	3912.i	3912.i	$2$	$2$	$2$	$1.952$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-978}) \)	None	✓	✓			3912.1.i.g	$4$	$0$	\(-2\)	\(2\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{3}+q^{4}-q^{6}-\beta q^{7}-q^{8}+\cdots\)
3912.1.i.h	$3912$	$1$	3912.i	3912.i	$2$	$2$	$2$	$1.952$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-978}) \)	None	✓	✓			3912.1.i.g	$4$	$0$	\(2\)	\(-2\)	\(0\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{6}-\beta q^{7}+q^{8}+\cdots\)