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

Results (8 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	7	41
8036.2.a.b	$8036$	$2$	8036.a	1.a	$1$	$1$	$1$	$64.168$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-1\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-2q^{9}+3q^{11}+2q^{13}+\cdots\)
8036.2.a.f	$8036$	$2$	8036.a	1.a	$1$	$1$	$1$	$64.168$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-2q^{9}+3q^{11}-2q^{13}+\cdots\)
8036.2.a.j	$8036$	$2$	8036.a	1.a	$1$	$5$	$5$	$64.168$	5.5.1935333.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-3\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1-\beta _{4})q^{5}+(1+\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
8036.2.a.l	$8036$	$2$	8036.a	1.a	$1$	$5$	$5$	$64.168$	5.5.470117.1	None	✓	$1$	$1$	\(0\)	\(2\)	\(1\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1-\beta _{1}+\beta _{2})q^{5}+(\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
8036.2.a.m	$8036$	$2$	8036.a	1.a	$1$	$8$	$8$	$64.168$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{5}q^{5}+(1+\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)
8036.2.a.n	$8036$	$2$	8036.a	1.a	$1$	$8$	$8$	$64.168$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{5}q^{5}+(1+\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)
8036.2.a.o	$8036$	$2$	8036.a	1.a	$1$	$10$	$10$	$64.168$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-4\)	\(0\)		$-$	$-$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{2}q^{5}+(1+\beta _{2}+\beta _{3})q^{9}+\cdots\)
8036.2.a.s	$8036$	$2$	8036.a	1.a	$1$	$20$	$20$	$64.168$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(-8\)	\(0\)		$-$	$+$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{11}q^{5}+(1+\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)