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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	5	67
1005.2.a.a	$1005$	$2$	1005.a	1.a	$1$	$1$	$1$	$8.025$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-q^{5}+2q^{7}+q^{9}-6q^{11}+\cdots\)
1005.2.a.c	$1005$	$2$	1005.a	1.a	$1$	$4$	$4$	$8.025$	4.4.1957.1	None	✓	$1$	$1$	\(-4\)	\(4\)	\(4\)	\(-9\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1005.2.a.d	$1005$	$2$	1005.a	1.a	$1$	$4$	$4$	$8.025$	4.4.2525.1	None	✓	$1$	$1$	\(-2\)	\(4\)	\(-4\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots\)
1005.2.a.e	$1005$	$2$	1005.a	1.a	$1$	$4$	$4$	$8.025$	4.4.1957.1	None	✓	$1$	$1$	\(0\)	\(-4\)	\(-4\)	\(1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots\)
1005.2.a.g	$1005$	$2$	1005.a	1.a	$1$	$5$	$5$	$8.025$	5.5.273397.1	None	✓	$1$	$1$	\(-2\)	\(-5\)	\(5\)	\(-9\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots\)