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

Results (7 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5
225.4.a.b	$225$	$4$	225.a	1.a	$1$	$1$	$1$	$13.275$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(0\)	\(-6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+8q^{4}-6q^{7}-2^{5}q^{11}+38q^{13}+\cdots\)
225.4.a.c	$225$	$4$	225.a	1.a	$1$	$1$	$1$	$13.275$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-7q^{4}+6q^{7}+15q^{8}+43q^{11}+\cdots\)
225.4.a.f	$225$	$4$	225.a	1.a	$1$	$1$	$1$	$13.275$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(24\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-7q^{4}+24q^{7}-15q^{8}-52q^{11}+\cdots\)
225.4.a.g	$225$	$4$	225.a	1.a	$1$	$1$	$1$	$13.275$	\(\Q\)	None	✓	$1$	$1$	\(3\)	\(0\)	\(0\)	\(-20\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+q^{4}-20q^{7}-21q^{8}+24q^{11}+\cdots\)
225.4.a.j	$225$	$4$	225.a	1.a	$1$	$2$	$2$	$13.275$	\(\Q(\sqrt{19}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(-26\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(12-2\beta )q^{4}+(-13+\cdots)q^{7}+\cdots\)
225.4.a.k	$225$	$4$	225.a	1.a	$1$	$2$	$2$	$13.275$	\(\Q(\sqrt{5}) \)	\(\Q(\sqrt{-15}) \)	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2$	$N(\mathrm{U}(1))$	\(q-\beta q^{2}-3q^{4}+11\beta q^{8}-31q^{16}+\cdots\)
225.4.a.l	$225$	$4$	225.a	1.a	$1$	$2$	$2$	$13.275$	\(\Q(\sqrt{10}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-30\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+2q^{4}-15q^{7}-6\beta q^{8}-20\beta q^{11}+\cdots\)