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

Results (7 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	41
861.2.a.b	$861$	$2$	861.a	1.a	$1$	$1$	$1$	$6.875$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(-3\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}-3q^{5}-q^{6}+q^{7}+\cdots\)
861.2.a.c	$861$	$2$	861.a	1.a	$1$	$1$	$1$	$6.875$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(3\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}+3q^{5}-q^{6}-q^{7}+\cdots\)
861.2.a.d	$861$	$2$	861.a	1.a	$1$	$1$	$1$	$6.875$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(1\)	\(-1\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
861.2.a.e	$861$	$2$	861.a	1.a	$1$	$2$	$2$	$6.875$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(2\)	\(-2\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}-q^{5}+\cdots\)
861.2.a.g	$861$	$2$	861.a	1.a	$1$	$2$	$2$	$6.875$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(-1\)	\(2\)	\(-3\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+q^{3}+(2+\beta )q^{4}+(-2+\beta )q^{5}+\cdots\)
861.2.a.h	$861$	$2$	861.a	1.a	$1$	$3$	$3$	$6.875$	3.3.148.1	None	✓	$1$	$1$	\(-1\)	\(-3\)	\(1\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}+(\beta _{1}+\beta _{2})q^{5}+\cdots\)
861.2.a.i	$861$	$2$	861.a	1.a	$1$	$4$	$4$	$6.875$	4.4.8468.1	None	✓	$1$	$1$	\(1\)	\(-4\)	\(-3\)	\(-4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots\)