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

Results (5 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	7	19
399.2.a.b	$399$	$2$	399.a	1.a	$1$	$1$	$1$	$3.186$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(4\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}+4q^{5}-q^{6}-q^{7}+\cdots\)
399.2.a.d	$399$	$2$	399.a	1.a	$1$	$3$	$3$	$3.186$	3.3.148.1	None	✓	$1$	$0$	\(1\)	\(-3\)	\(4\)	\(-3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots\)
399.2.a.e	$399$	$2$	399.a	1.a	$1$	$3$	$3$	$3.186$	3.3.404.1	None	✓	$1$	$0$	\(1\)	\(3\)	\(0\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+q^{3}+(3+\beta _{1}-\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
399.2.a.f	$399$	$2$	399.a	1.a	$1$	$5$	$5$	$3.186$	5.5.1240016.1	None	✓	$1$	$0$	\(1\)	\(5\)	\(-2\)	\(5\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{2}+q^{3}+(1+\beta _{4})q^{4}+\beta _{2}q^{5}+\cdots\)
399.2.a.g	$399$	$2$	399.a	1.a	$1$	$5$	$5$	$3.186$	5.5.368464.1	None	✓	$1$	$0$	\(3\)	\(-5\)	\(4\)	\(5\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)