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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	3	7	13
546.4.a.a	$546$	$4$	546.a	1.a	$1$	$1$	$1$	$32.215$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-3\)	\(12\)	\(7\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+12q^{5}+6q^{6}+\cdots\)
546.4.a.b	$546$	$4$	546.a	1.a	$1$	$1$	$1$	$32.215$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(-3\)	\(-9\)	\(7\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}-9q^{5}-6q^{6}+\cdots\)
546.4.a.c	$546$	$4$	546.a	1.a	$1$	$1$	$1$	$32.215$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(3\)	\(-14\)	\(-7\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}-14q^{5}+6q^{6}+\cdots\)
546.4.a.d	$546$	$4$	546.a	1.a	$1$	$1$	$1$	$32.215$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(3\)	\(-12\)	\(7\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}-12q^{5}+6q^{6}+\cdots\)
546.4.a.f	$546$	$4$	546.a	1.a	$1$	$2$	$2$	$32.215$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$1$	\(-4\)	\(-6\)	\(-8\)	\(-14\)		$+$	$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+(-4-\beta )q^{5}+\cdots\)
546.4.a.g	$546$	$4$	546.a	1.a	$1$	$2$	$2$	$32.215$	\(\Q(\sqrt{65}) \)	None	✓	$1$	$1$	\(-4\)	\(6\)	\(-15\)	\(14\)		$+$	$-$	$-$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(-8-\beta )q^{5}+\cdots\)
546.4.a.h	$546$	$4$	546.a	1.a	$1$	$2$	$2$	$32.215$	\(\Q(\sqrt{129}) \)	None	✓	$1$	$1$	\(-4\)	\(6\)	\(1\)	\(-14\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+\beta q^{5}-6q^{6}+\cdots\)
546.4.a.j	$546$	$4$	546.a	1.a	$1$	$2$	$2$	$32.215$	\(\Q(\sqrt{105}) \)	None	✓	$1$	$1$	\(4\)	\(-6\)	\(5\)	\(-14\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(3-\beta )q^{5}-6q^{6}+\cdots\)