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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	7	11
231.2.a.a	$231$	$2$	231.a	1.a	$1$	$1$	$1$	$1.845$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(-2\)	\(1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}-2q^{5}+q^{6}+q^{7}+\cdots\)
231.2.a.b	$231$	$2$	231.a	1.a	$1$	$2$	$2$	$1.845$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$0$	\(-1\)	\(-2\)	\(6\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(3+\beta )q^{4}+3q^{5}+\beta q^{6}+\cdots\)
231.2.a.c	$231$	$2$	231.a	1.a	$1$	$2$	$2$	$1.845$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(1\)	\(2\)	\(2\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+q^{5}+\beta q^{6}+\cdots\)
231.2.a.d	$231$	$2$	231.a	1.a	$1$	$3$	$3$	$1.845$	3.3.837.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(0\)	\(-3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots\)
231.2.a.e	$231$	$2$	231.a	1.a	$1$	$3$	$3$	$1.845$	3.3.229.1	None	✓	$1$	$0$	\(2\)	\(3\)	\(4\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{2}+q^{3}+(2+\beta _{1})q^{4}+(1+\cdots)q^{5}+\cdots\)