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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Results (4 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3
216.4.a.a	$216$	$4$	216.a	1.a	$1$	$1$	$1$	$12.744$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}+3q^{7}-28q^{11}-11q^{13}+\cdots\)
216.4.a.b	$216$	$4$	216.a	1.a	$1$	$1$	$1$	$12.744$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(-9\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-9q^{7}+17q^{11}-44q^{13}-56q^{17}+\cdots\)
216.4.a.c	$216$	$4$	216.a	1.a	$1$	$1$	$1$	$12.744$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-9\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-9q^{7}-17q^{11}-44q^{13}+56q^{17}+\cdots\)
216.4.a.f	$216$	$4$	216.a	1.a	$1$	$2$	$2$	$12.744$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(-6\)		$+$	$-$	$-$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-2-\beta )q^{5}+(-3+2\beta )q^{7}+(-26+\cdots)q^{11}+\cdots\)