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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.b	$1005$	$2$	1005.a	1.a	$1$	$1$	$1$	$8.025$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(1\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}-3q^{8}+\cdots\)
1005.2.a.f	$1005$	$2$	1005.a	1.a	$1$	$4$	$4$	$8.025$	4.4.9301.1	None	✓	$1$	$0$	\(2\)	\(-4\)	\(4\)	\(11\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{2}-q^{3}+(2+\beta _{2}-\beta _{3})q^{4}+\cdots\)
1005.2.a.h	$1005$	$2$	1005.a	1.a	$1$	$5$	$5$	$8.025$	5.5.772525.1	None	✓	$1$	$0$	\(1\)	\(5\)	\(-5\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
1005.2.a.i	$1005$	$2$	1005.a	1.a	$1$	$7$	$7$	$8.025$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(7\)	\(7\)	\(3\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
1005.2.a.j	$1005$	$2$	1005.a	1.a	$1$	$8$	$8$	$8.025$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-3\)	\(-8\)	\(-8\)	\(-3\)		$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)