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

Results (12 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.a	$768$	$4$	768.a	1.a	$1$	$1$	$1$	$45.313$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-8\)	\(12\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-8q^{5}+12q^{7}+9q^{9}+12q^{11}+\cdots\)
768.4.a.d	$768$	$4$	768.a	1.a	$1$	$1$	$1$	$45.313$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(8\)	\(12\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+8q^{5}+12q^{7}+9q^{9}-12q^{11}+\cdots\)
768.4.a.f	$768$	$4$	768.a	1.a	$1$	$2$	$2$	$45.313$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(-6\)	\(0\)	\(0\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-3q^{3}+\beta q^{5}+7\beta q^{7}+9q^{9}-48q^{11}+\cdots\)
768.4.a.h	$768$	$4$	768.a	1.a	$1$	$2$	$2$	$45.313$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(-6\)	\(0\)	\(0\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-3q^{3}+\beta q^{5}+5\beta q^{7}+9q^{9}+20q^{11}+\cdots\)
768.4.a.i	$768$	$4$	768.a	1.a	$1$	$2$	$2$	$45.313$	\(\Q(\sqrt{11}) \)	None	✓	$2$	$0$	\(0\)	\(-6\)	\(0\)	\(0\)		$+$	$+$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-3q^{3}+\beta q^{5}-\beta q^{7}+9q^{9}+48q^{11}+\cdots\)
768.4.a.j	$768$	$4$	768.a	1.a	$1$	$2$	$2$	$45.313$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(8\)	\(16\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-3q^{3}+(4+\beta )q^{5}+(8+\beta )q^{7}+9q^{9}+\cdots\)
768.4.a.k	$768$	$4$	768.a	1.a	$1$	$2$	$2$	$45.313$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(6\)	\(-8\)	\(16\)		$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+3q^{3}+(-4-\beta )q^{5}+(8+\beta )q^{7}+9q^{9}+\cdots\)
768.4.a.l	$768$	$4$	768.a	1.a	$1$	$2$	$2$	$45.313$	\(\Q(\sqrt{11}) \)	None	✓	$2$	$0$	\(0\)	\(6\)	\(0\)	\(0\)		$-$	$-$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+3q^{3}+\beta q^{5}+\beta q^{7}+9q^{9}-48q^{11}+\cdots\)
768.4.a.o	$768$	$4$	768.a	1.a	$1$	$2$	$2$	$45.313$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(6\)	\(0\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+\beta q^{5}-7\beta q^{7}+9q^{9}+48q^{11}+\cdots\)
768.4.a.r	$768$	$4$	768.a	1.a	$1$	$3$	$3$	$45.313$	3.3.1436.1	None	✓	$1$	$0$	\(0\)	\(-9\)	\(10\)	\(-14\)		$+$	$+$	$+$	$2^{5}$	$\mathrm{SU}(2)$	\(q-3q^{3}+(3+\beta _{2})q^{5}+(-5+\beta _{1})q^{7}+\cdots\)
768.4.a.t	$768$	$4$	768.a	1.a	$1$	$3$	$3$	$45.313$	3.3.1436.1	None	✓	$1$	$0$	\(0\)	\(9\)	\(10\)	\(14\)		$-$	$-$	$+$	$2^{5}$	$\mathrm{SU}(2)$	\(q+3q^{3}+(3+\beta _{2})q^{5}+(5-\beta _{1})q^{7}+9q^{9}+\cdots\)
768.4.a.v	$768$	$4$	768.a	1.a	$1$	$4$	$4$	$45.313$	4.4.9792.1	None	✓	$2$	$0$	\(0\)	\(12\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{10}$	$\mathrm{SU}(2)$	\(q+3q^{3}+\beta _{1}q^{5}+(\beta _{1}-\beta _{3})q^{7}+9q^{9}+\cdots\)