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Results (14 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
436.1.c.a	$436$	$1$	436.c	436.c	$2$	$1$	$1$	$0.218$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-109}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{9}+q^{10}+\cdots\)
436.1.c.b	$436$	$1$	436.c	436.c	$2$	$1$	$1$	$0.218$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-109}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{2}+q^{4}-q^{5}+q^{8}+q^{9}-q^{10}+\cdots\)
1744.1.e.a	$1744$	$1$	1744.e	436.c	$2$	$1$	$1$	$0.870$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-109}) \)	\(\Q(\sqrt{109}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-2q^{5}+q^{9}+3q^{25}+2q^{29}-2q^{45}+\cdots\)
1744.1.e.b	$1744$	$1$	1744.e	436.c	$2$	$2$	$2$	$0.870$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-109}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+q^{5}+q^{9}-\beta q^{11}+\beta q^{19}+\beta q^{23}+\cdots\)
2180.1.h.d	$2180$	$1$	2180.h	2180.h	$2$	$2$	$2$	$1.088$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-109}) \)	\(\Q(\sqrt{545}) \)		$8$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-iq^{2}-q^{4}-q^{5}+iq^{8}-q^{9}+iq^{10}+\cdots\)
2180.1.h.g	$2180$	$1$	2180.h	2180.h	$2$	$4$	$4$	$1.088$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-109}) \)	None		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\zeta_{12}^{3}q^{2}-q^{4}-\zeta_{12}^{4}q^{5}+\zeta_{12}^{3}q^{8}+\cdots\)
3924.1.g.a	$3924$	$1$	3924.g	436.c	$2$	$1$	$1$	$1.958$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-327}) \), \(\Q(\sqrt{-109}) \)	\(\Q(\sqrt{3}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}-2q^{11}+q^{16}+2q^{22}+\cdots\)
3924.1.g.b	$3924$	$1$	3924.g	436.c	$2$	$1$	$1$	$1.958$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-109}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+q^{11}+\cdots\)
3924.1.g.c	$3924$	$1$	3924.g	436.c	$2$	$1$	$1$	$1.958$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-327}) \), \(\Q(\sqrt{-109}) \)	\(\Q(\sqrt{3}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{8}+2q^{11}+q^{16}+2q^{22}+\cdots\)
3924.1.g.d	$3924$	$1$	3924.g	436.c	$2$	$1$	$1$	$1.958$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-109}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}-q^{11}+\cdots\)
3924.1.g.e	$3924$	$1$	3924.g	436.c	$2$	$2$	$2$	$1.958$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-109}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-\beta q^{5}-q^{8}+\beta q^{10}+q^{11}+\cdots\)
3924.1.g.i	$3924$	$1$	3924.g	436.c	$2$	$2$	$2$	$1.958$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-109}) \)	None	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}-\beta q^{5}+q^{8}-\beta q^{10}-q^{11}+\cdots\)
436.3.c.b	$436$	$3$	436.c	436.c	$2$	$3$	$3$	$11.880$	3.3.11772.1	$_{}$	\(\Q(\sqrt{-109}) \)	None	✓	$2$	$0$	\(-6\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}+4q^{4}+(\beta _{1}+\beta _{2})q^{5}-8q^{8}+\cdots\)
436.3.c.c	$436$	$3$	436.c	436.c	$2$	$3$	$3$	$11.880$	3.3.11772.1	$_{}$	\(\Q(\sqrt{-109}) \)	None	✓	$2$	$0$	\(6\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}+4q^{4}+(\beta _{1}+\beta _{2})q^{5}+8q^{8}+\cdots\)