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

Results (9 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	3	7	13
546.4.a.e	$546$	$4$	546.a	1.a	$1$	$1$	$1$	$32.215$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(3\)	\(9\)	\(-7\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}+9q^{5}+6q^{6}+\cdots\)
546.4.a.i	$546$	$4$	546.a	1.a	$1$	$2$	$2$	$32.215$	\(\Q(\sqrt{673}) \)	None	✓	$1$	$0$	\(-4\)	\(6\)	\(3\)	\(-14\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(1+\beta )q^{5}-6q^{6}+\cdots\)
546.4.a.k	$546$	$4$	546.a	1.a	$1$	$2$	$2$	$32.215$	\(\Q(\sqrt{1401}) \)	None	✓	$1$	$0$	\(4\)	\(6\)	\(5\)	\(-14\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}+(3-\beta )q^{5}+6q^{6}+\cdots\)
546.4.a.l	$546$	$4$	546.a	1.a	$1$	$3$	$3$	$32.215$	3.3.7441.1	None	✓	$1$	$0$	\(-6\)	\(-9\)	\(-6\)	\(21\)		$+$	$+$	$-$	$-$	$+$	$3^{3}$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+(-2+\beta _{1})q^{5}+\cdots\)
546.4.a.m	$546$	$4$	546.a	1.a	$1$	$3$	$3$	$32.215$	3.3.1600113.1	None	✓	$1$	$0$	\(-6\)	\(-9\)	\(0\)	\(-21\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+\beta _{1}q^{5}+6q^{6}+\cdots\)
546.4.a.n	$546$	$4$	546.a	1.a	$1$	$3$	$3$	$32.215$	3.3.360321.1	None	✓	$1$	$0$	\(-6\)	\(9\)	\(13\)	\(21\)		$+$	$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(4-\beta _{2})q^{5}+\cdots\)
546.4.a.o	$546$	$4$	546.a	1.a	$1$	$3$	$3$	$32.215$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(6\)	\(-9\)	\(-1\)	\(21\)		$-$	$+$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}-\beta _{1}q^{5}-6q^{6}+\cdots\)
546.4.a.p	$546$	$4$	546.a	1.a	$1$	$3$	$3$	$32.215$	3.3.118088.1	None	✓	$1$	$0$	\(6\)	\(-9\)	\(7\)	\(-21\)		$-$	$+$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(2+\beta _{1}-\beta _{2})q^{5}+\cdots\)
546.4.a.q	$546$	$4$	546.a	1.a	$1$	$4$	$4$	$32.215$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(12\)	\(10\)	\(28\)		$-$	$-$	$-$	$-$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}+(3+\beta _{1})q^{5}+\cdots\)