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

Results (10 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
768.4.a.b	$768$	$4$	768.a	1.a	$1$	$1$	$1$	$45.313$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(8\)	\(-12\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+8q^{5}-12q^{7}+9q^{9}+12q^{11}+\cdots\)
768.4.a.c	$768$	$4$	768.a	1.a	$1$	$1$	$1$	$45.313$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-8\)	\(-12\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-8q^{5}-12q^{7}+9q^{9}-12q^{11}+\cdots\)
768.4.a.e	$768$	$4$	768.a	1.a	$1$	$2$	$2$	$45.313$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(0\)	\(-6\)	\(-8\)	\(-16\)		$-$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-3q^{3}+(-4-\beta )q^{5}+(-8-\beta )q^{7}+\cdots\)
768.4.a.g	$768$	$4$	768.a	1.a	$1$	$2$	$2$	$45.313$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(-6\)	\(0\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-3q^{3}+3\beta q^{5}+\beta q^{7}+9q^{9}-2^{4}\beta q^{13}+\cdots\)
768.4.a.m	$768$	$4$	768.a	1.a	$1$	$2$	$2$	$45.313$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(6\)	\(0\)	\(0\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+\beta q^{5}-5\beta q^{7}+9q^{9}-20q^{11}+\cdots\)
768.4.a.n	$768$	$4$	768.a	1.a	$1$	$2$	$2$	$45.313$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(6\)	\(0\)	\(0\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+3\beta q^{5}-\beta q^{7}+9q^{9}-2^{4}\beta q^{13}+\cdots\)
768.4.a.p	$768$	$4$	768.a	1.a	$1$	$2$	$2$	$45.313$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(0\)	\(6\)	\(8\)	\(-16\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+3q^{3}+(4+\beta )q^{5}+(-8-\beta )q^{7}+9q^{9}+\cdots\)
768.4.a.q	$768$	$4$	768.a	1.a	$1$	$3$	$3$	$45.313$	3.3.1436.1	None	✓	$1$	$1$	\(0\)	\(-9\)	\(-10\)	\(14\)		$-$	$+$	$-$	$2^{5}$	$\mathrm{SU}(2)$	\(q-3q^{3}+(-3-\beta _{2})q^{5}+(5-\beta _{1})q^{7}+\cdots\)
768.4.a.s	$768$	$4$	768.a	1.a	$1$	$3$	$3$	$45.313$	3.3.1436.1	None	✓	$1$	$1$	\(0\)	\(9\)	\(-10\)	\(-14\)		$+$	$-$	$-$	$2^{5}$	$\mathrm{SU}(2)$	\(q+3q^{3}+(-3-\beta _{2})q^{5}+(-5+\beta _{1}+\cdots)q^{7}+\cdots\)
768.4.a.u	$768$	$4$	768.a	1.a	$1$	$4$	$4$	$45.313$	4.4.9792.1	None	✓	$2$	$1$	\(0\)	\(-12\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{10}$	$\mathrm{SU}(2)$	\(q-3q^{3}+\beta _{1}q^{5}+(-\beta _{1}+\beta _{3})q^{7}+9q^{9}+\cdots\)