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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
411.1.c.a	$411$	$1$	411.c	411.c	$2$	$1$	$1$	$0.205$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-411}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(1\)	\(-1\)	$1$		\(q-q^{3}+q^{4}+q^{5}-q^{7}+q^{9}-q^{12}+\cdots\)
411.1.c.b	$411$	$1$	411.c	411.c	$2$	$1$	$1$	$0.205$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-411}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-1\)	\(-1\)	$1$		\(q+q^{3}+q^{4}-q^{5}-q^{7}+q^{9}+q^{12}+\cdots\)
1644.1.h.a	$1644$	$1$	1644.h	411.c	$2$	$3$	$3$	$0.820$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-411}) \)	None	✓	$2$	$0$	\(0\)	\(-3\)	\(0\)	\(0\)	$1$		\(q-q^{3}+\beta _{1}q^{5}+(\beta _{1}-\beta _{2})q^{7}+q^{9}+\cdots\)
1644.1.h.b	$1644$	$1$	1644.h	411.c	$2$	$3$	$3$	$0.820$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-411}) \)	None	✓	$2$	$0$	\(0\)	\(3\)	\(0\)	\(0\)	$1$		\(q+q^{3}-\beta _{1}q^{5}+(\beta _{1}-\beta _{2})q^{7}+q^{9}+\cdots\)
2055.1.g.a	$2055$	$1$	2055.g	2055.g	$2$	$2$	$2$	$1.026$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-411}) \)	\(\Q(\sqrt{685}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+iq^{3}-q^{4}-iq^{5}-q^{9}-iq^{12}+\cdots\)
2055.1.g.f	$2055$	$1$	2055.g	2055.g	$2$	$4$	$4$	$1.026$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-411}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{12}^{3}q^{3}-q^{4}-\zeta_{12}q^{5}+(\zeta_{12}^{2}+\cdots)q^{7}+\cdots\)
2877.1.r.a	$2877$	$1$	2877.r	2877.r	$6$	$6$	$3$	$1.436$	\(\Q(\zeta_{18})\)	$D_{9}$	\(\Q(\sqrt{-411}) \)	None		$4$	$0$	\(0\)	\(-3\)	\(0\)	\(0\)	$1$		\(q+\zeta_{18}^{6}q^{3}+\zeta_{18}^{6}q^{4}+(-\zeta_{18}-\zeta_{18}^{5}+\cdots)q^{5}+\cdots\)
2877.1.r.b	$2877$	$1$	2877.r	2877.r	$6$	$6$	$3$	$1.436$	\(\Q(\zeta_{18})\)	$D_{9}$	\(\Q(\sqrt{-411}) \)	None		$4$	$0$	\(0\)	\(3\)	\(0\)	\(0\)	$1$		\(q-\zeta_{18}^{6}q^{3}+\zeta_{18}^{6}q^{4}+(-\zeta_{18}^{2}-\zeta_{18}^{4}+\cdots)q^{5}+\cdots\)
3699.1.c.a	$3699$	$1$	3699.c	411.c	$2$	$3$	$3$	$1.846$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-411}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}-\beta _{1}q^{5}+(\beta _{1}-\beta _{2})q^{7}+q^{16}+\cdots\)
3699.1.c.b	$3699$	$1$	3699.c	411.c	$2$	$3$	$3$	$1.846$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-411}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}+\beta _{1}q^{5}+(\beta _{1}-\beta _{2})q^{7}+q^{16}+\cdots\)
1233.2.d.a	$1233$	$2$	1233.d	137.b	$2$	$6$	$6$	$9.846$	6.0.\(\cdots\).3	$_{}$	\(\Q(\sqrt{-411}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{4}-\beta _{1}q^{5}-\beta _{2}q^{7}+4q^{16}+(-\beta _{2}+\cdots)q^{19}+\cdots\)
411.3.c.a	$411$	$3$	411.c	411.c	$2$	$3$	$3$	$11.199$	3.3.11097.1	$_{}$	\(\Q(\sqrt{-411}) \)	None	✓	$2$	$0$	\(0\)	\(-9\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-3q^{3}+4q^{4}+(\beta _{1}+\beta _{2})q^{5}+(2\beta _{1}+\cdots)q^{7}+\cdots\)
411.3.c.b	$411$	$3$	411.c	411.c	$2$	$3$	$3$	$11.199$	3.3.11097.1	$_{}$	\(\Q(\sqrt{-411}) \)	None	✓	$2$	$0$	\(0\)	\(9\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+3q^{3}+4q^{4}+(-\beta _{1}-\beta _{2})q^{5}+(2\beta _{1}+\cdots)q^{7}+\cdots\)
4932.2.e.a	$4932$	$2$	4932.e	137.b	$2$	$12$	$12$	$39.382$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	$_{}$	\(\Q(\sqrt{-411}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{2}\cdot 3^{4}$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{9}q^{5}-\beta _{4}q^{7}-\beta _{6}q^{19}+(\beta _{7}-\beta _{11})q^{23}+\cdots\)
1644.3.h.c	$1644$	$3$	1644.h	411.c	$2$	$6$	$6$	$44.796$	6.6.\(\cdots\).3	$_{}$	\(\Q(\sqrt{-411}) \)	None	✓	$2$	$0$	\(0\)	\(-18\)	\(0\)	\(0\)	$2^{3}\cdot 3^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q-3q^{3}+(\beta _{3}-\beta _{5})q^{5}+(-\beta _{3}-\beta _{4}+\cdots)q^{7}+\cdots\)
1644.3.h.d	$1644$	$3$	1644.h	411.c	$2$	$6$	$6$	$44.796$	6.6.\(\cdots\).3	$_{}$	\(\Q(\sqrt{-411}) \)	None	✓	$2$	$0$	\(0\)	\(18\)	\(0\)	\(0\)	$2^{3}\cdot 3^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+3q^{3}+(-\beta _{3}+\beta _{5})q^{5}+(-\beta _{3}-\beta _{4}+\cdots)q^{7}+\cdots\)