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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
755.1.c.a	$755$	$1$	755.c	755.c	$2$	$1$	$1$	$0.377$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-755}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(1\)	\(2\)	$1$		\(q-q^{3}+q^{4}+q^{5}+2q^{7}-q^{11}-q^{12}+\cdots\)
755.1.c.b	$755$	$1$	755.c	755.c	$2$	$1$	$1$	$0.377$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-151}) \), \(\Q(\sqrt{-755}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}-q^{9}+2q^{11}+q^{16}+2q^{19}+\cdots\)
755.1.c.c	$755$	$1$	755.c	755.c	$2$	$1$	$1$	$0.377$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-755}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(-2\)	$1$		\(q+q^{3}+q^{4}+q^{5}-2q^{7}-q^{11}+q^{12}+\cdots\)
755.1.c.d	$755$	$1$	755.c	755.c	$2$	$2$	$2$	$0.377$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-755}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\beta q^{3}+q^{4}-q^{5}+2q^{9}-q^{11}-\beta q^{12}+\cdots\)
3020.1.h.a	$3020$	$1$	3020.h	755.c	$2$	$1$	$1$	$1.507$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-755}) \)	None	✓	$2$	$0$	\(0\)	\(-2\)	\(1\)	\(1\)	$1$		\(q-2q^{3}+q^{5}+q^{7}+3q^{9}-q^{11}+q^{13}+\cdots\)
3020.1.h.b	$3020$	$1$	3020.h	755.c	$2$	$1$	$1$	$1.507$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-755}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(1\)	\(-1\)	$1$		\(q-q^{3}+q^{5}-q^{7}-q^{11}-q^{13}-q^{15}+\cdots\)
3020.1.h.c	$3020$	$1$	3020.h	755.c	$2$	$1$	$1$	$1.507$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-755}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(1\)	\(-1\)	$1$		\(q-q^{3}+q^{5}-q^{7}+2q^{11}+2q^{13}+\cdots\)
3020.1.h.d	$3020$	$1$	3020.h	755.c	$2$	$1$	$1$	$1.507$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-755}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(1\)	$1$		\(q+q^{3}+q^{5}+q^{7}-q^{11}+q^{13}+q^{15}+\cdots\)
3020.1.h.e	$3020$	$1$	3020.h	755.c	$2$	$1$	$1$	$1.507$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-755}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(1\)	$1$		\(q+q^{3}+q^{5}+q^{7}+2q^{11}-2q^{13}+\cdots\)
3020.1.h.f	$3020$	$1$	3020.h	755.c	$2$	$1$	$1$	$1.507$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-755}) \)	None	✓	$2$	$0$	\(0\)	\(2\)	\(1\)	\(-1\)	$1$		\(q+2q^{3}+q^{5}-q^{7}+3q^{9}-q^{11}-q^{13}+\cdots\)
3020.1.h.g	$3020$	$1$	3020.h	755.c	$2$	$2$	$2$	$1.507$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-755}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-q^{5}-\beta q^{7}-q^{9}-q^{11}+\beta q^{13}+\cdots\)
3020.1.h.h	$3020$	$1$	3020.h	755.c	$2$	$2$	$2$	$1.507$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-755}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\beta q^{3}-q^{5}-\beta q^{7}+2q^{9}-q^{11}+\cdots\)
3020.1.h.i	$3020$	$1$	3020.h	755.c	$2$	$2$	$2$	$1.507$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-755}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+\beta q^{3}-q^{5}-\beta q^{7}+2q^{9}+2q^{11}+\cdots\)
3775.1.d.a	$3775$	$1$	3775.d	151.b	$2$	$1$	$1$	$1.884$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-151}) \), \(\Q(\sqrt{-755}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{4}+q^{9}+2q^{11}+q^{16}-2q^{19}+\cdots\)
3775.1.d.b	$3775$	$1$	3775.d	151.b	$2$	$2$	$2$	$1.884$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-755}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{3}-q^{4}+(-1-\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{9}+\cdots\)
3775.1.d.c	$3775$	$1$	3775.d	151.b	$2$	$2$	$2$	$1.884$	\(\Q(\sqrt{-1}) \)	$D_{3}$	\(\Q(\sqrt{-755}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{3}-q^{4}-iq^{7}-q^{11}+iq^{12}+\cdots\)