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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
336.4.a.a	$336$	$4$	336.a	1.a	$1$	$1$	$1$	$19.825$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-16\)	\(-7\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-2^{4}q^{5}-7q^{7}+9q^{9}+18q^{11}+\cdots\)
336.4.a.d	$336$	$4$	336.a	1.a	$1$	$1$	$1$	$19.825$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(2\)	\(7\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+2q^{5}+7q^{7}+9q^{9}+8q^{11}+\cdots\)
336.4.a.e	$336$	$4$	336.a	1.a	$1$	$1$	$1$	$19.825$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(14\)	\(7\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+14q^{5}+7q^{7}+9q^{9}-4q^{11}+\cdots\)
336.4.a.f	$336$	$4$	336.a	1.a	$1$	$1$	$1$	$19.825$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(-18\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-18q^{5}-7q^{7}+9q^{9}+6^{2}q^{11}+\cdots\)
336.4.a.j	$336$	$4$	336.a	1.a	$1$	$1$	$1$	$19.825$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(4\)	\(7\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+4q^{5}+7q^{7}+9q^{9}+26q^{11}+\cdots\)
336.4.a.k	$336$	$4$	336.a	1.a	$1$	$1$	$1$	$19.825$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(6\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+6q^{5}-7q^{7}+9q^{9}-6^{2}q^{11}+\cdots\)
336.4.a.l	$336$	$4$	336.a	1.a	$1$	$1$	$1$	$19.825$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(18\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+18q^{5}-7q^{7}+9q^{9}+72q^{11}+\cdots\)
336.4.a.n	$336$	$4$	336.a	1.a	$1$	$2$	$2$	$19.825$	\(\Q(\sqrt{177}) \)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(14\)	\(-14\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-3q^{3}+(7-\beta )q^{5}-7q^{7}+9q^{9}+(-9+\cdots)q^{11}+\cdots\)
336.4.a.o	$336$	$4$	336.a	1.a	$1$	$2$	$2$	$19.825$	\(\Q(\sqrt{337}) \)	None	✓	$1$	$0$	\(0\)	\(6\)	\(-6\)	\(14\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+(-3-\beta )q^{5}+7q^{7}+9q^{9}+\cdots\)