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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
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3095.1.d.a	$3095$	$1$	3095.d	3095.d	$2$	$1$	$1$	$1.545$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3095}) \)	None	✓	✓			3095.1.d.a	$2$	$0$	\(-2\)	\(1\)	\(1\)	\(0\)	$1$		\(q-2q^{2}+q^{3}+3q^{4}+q^{5}-2q^{6}-4q^{8}+\cdots\)
3095.1.d.b	$3095$	$1$	3095.d	3095.d	$2$	$1$	$1$	$1.545$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-619}) \), \(\Q(\sqrt{-3095}) \)	\(\Q(\sqrt{5}) \)	✓	✓			3095.1.d.b	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{4}+q^{5}-q^{9}+q^{16}-q^{20}+q^{25}+\cdots\)
3095.1.d.c	$3095$	$1$	3095.d	3095.d	$2$	$1$	$1$	$1.545$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3095}) \)	None	✓	✓			3095.1.d.a	$2$	$0$	\(2\)	\(-1\)	\(1\)	\(0\)	$1$		\(q+2q^{2}-q^{3}+3q^{4}+q^{5}-2q^{6}+4q^{8}+\cdots\)
3095.1.d.d	$3095$	$1$	3095.d	3095.d	$2$	$2$	$2$	$1.545$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-3095}) \)	None	✓	✓			3095.1.d.d	$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\beta q^{3}-q^{4}+q^{5}+2q^{9}+\beta q^{12}+\cdots\)
3095.1.d.e	$3095$	$1$	3095.d	3095.d	$2$	$2$	$2$	$1.545$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3095}) \)	None	✓	✓			3095.1.d.e	$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\beta q^{2}-\beta q^{3}+q^{4}+q^{5}+2q^{6}+q^{9}+\cdots\)
3095.1.d.g	$3095$	$1$	3095.d	3095.d	$2$	$4$	$4$	$1.545$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-3095}) \)	None	✓	✓			3095.1.d.g	$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)	$1$		\(q+\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
3095.1.d.h	$3095$	$1$	3095.d	3095.d	$2$	$4$	$4$	$1.545$	\(\Q(\zeta_{24})^+\)	$D_{12}$	\(\Q(\sqrt{-3095}) \)	None	✓	✓			3095.1.d.h	$4$	$0$	\(0\)	\(0\)	\(4\)	\(0\)	$1$		\(q+(\beta _{1}+\beta _{3})q^{2}-\beta _{1}q^{3}+q^{4}+q^{5}+\cdots\)
3095.1.d.i	$3095$	$1$	3095.d	3095.d	$2$	$8$	$8$	$1.545$	\(\Q(\zeta_{48})^+\)	$D_{24}$	\(\Q(\sqrt{-3095}) \)	None	✓	✓	✓		3095.1.d.i	$4$	$0$	\(0\)	\(0\)	\(-8\)	\(0\)	$1$		\(q+\beta _{7}q^{2}-\beta _{1}q^{3}+(1-\beta _{2}-\beta _{6})q^{4}+\cdots\)