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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		7	11
847.2.a.a	$847$	$2$	847.a	1.a	$1$	$1$	$1$	$6.763$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(2\)	\(-2\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}-q^{4}-2q^{5}-2q^{6}+q^{7}+\cdots\)
847.2.a.b	$847$	$2$	847.a	1.a	$1$	$1$	$1$	$6.763$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-1\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-2q^{4}-q^{5}+q^{7}+6q^{9}+6q^{12}+\cdots\)
847.2.a.d	$847$	$2$	847.a	1.a	$1$	$2$	$2$	$6.763$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-3\)	\(-1\)	\(2\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+(-1+\beta )q^{3}+3\beta q^{4}+\cdots\)
847.2.a.e	$847$	$2$	847.a	1.a	$1$	$2$	$2$	$6.763$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(0\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-\beta q^{3}+(1+\beta )q^{4}+(-1+2\beta )q^{5}+\cdots\)
847.2.a.i	$847$	$2$	847.a	1.a	$1$	$3$	$3$	$6.763$	3.3.568.1	None	✓	$1$	$1$	\(-2\)	\(-1\)	\(1\)	\(-3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}-\beta _{1}q^{3}+(3+\beta _{2})q^{4}+\cdots\)
847.2.a.k	$847$	$2$	847.a	1.a	$1$	$4$	$4$	$6.763$	4.4.2525.1	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(-6\)	\(4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1-\beta _{2})q^{3}+(1+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
847.2.a.l	$847$	$2$	847.a	1.a	$1$	$4$	$4$	$6.763$	4.4.2525.1	None	✓	$1$	$1$	\(2\)	\(-2\)	\(-6\)	\(-4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-1-\beta _{2})q^{3}+(1+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
847.2.a.m	$847$	$2$	847.a	1.a	$1$	$6$	$6$	$6.763$	6.6.7674048.1	None	✓	$1$	$1$	\(-4\)	\(-2\)	\(-4\)	\(-6\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+\beta _{5}q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)