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

Results (15 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	13	29
6032.2.a.a	$6032$	$2$	6032.a	1.a	$1$	$1$	$1$	$48.166$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{5}-2q^{7}+q^{9}+4q^{11}+\cdots\)
6032.2.a.b	$6032$	$2$	6032.a	1.a	$1$	$1$	$1$	$48.166$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-3\)	\(3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}+3q^{7}-2q^{9}+4q^{11}+\cdots\)
6032.2.a.d	$6032$	$2$	6032.a	1.a	$1$	$1$	$1$	$48.166$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(3\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{5}+q^{7}-2q^{9}+q^{13}-3q^{15}+\cdots\)
6032.2.a.i	$6032$	$2$	6032.a	1.a	$1$	$2$	$2$	$48.166$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-6\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+2\beta q^{5}+(-3+\beta )q^{7}+\cdots\)
6032.2.a.j	$6032$	$2$	6032.a	1.a	$1$	$2$	$2$	$48.166$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(1\)	\(-3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2\beta q^{3}+(1-\beta )q^{5}+(-2+\beta )q^{7}+\cdots\)
6032.2.a.k	$6032$	$2$	6032.a	1.a	$1$	$2$	$2$	$48.166$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-4\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-2-\beta )q^{5}+(-1-2\beta )q^{7}+\cdots\)
6032.2.a.m	$6032$	$2$	6032.a	1.a	$1$	$4$	$4$	$48.166$	4.4.27004.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(7\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{3})q^{3}+(2-\beta _{1})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
6032.2.a.o	$6032$	$2$	6032.a	1.a	$1$	$5$	$5$	$48.166$	5.5.161121.1	None	✓	$1$	$1$	\(0\)	\(2\)	\(-6\)	\(5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{4}q^{3}+(-1-\beta _{1})q^{5}+(1+\beta _{3})q^{7}+\cdots\)
6032.2.a.p	$6032$	$2$	6032.a	1.a	$1$	$5$	$5$	$48.166$	5.5.149169.1	None	✓	$1$	$1$	\(0\)	\(2\)	\(-2\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{4}q^{3}-\beta _{2}q^{5}+(-\beta _{1}+\beta _{3}-\beta _{4})q^{7}+\cdots\)
6032.2.a.t	$6032$	$2$	6032.a	1.a	$1$	$6$	$6$	$48.166$	6.6.11341289.1	None	✓	$1$	$1$	\(0\)	\(3\)	\(-5\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-\beta _{1}+\beta _{5})q^{5}+(1-\beta _{1}+\cdots)q^{7}+\cdots\)
6032.2.a.u	$6032$	$2$	6032.a	1.a	$1$	$7$	$7$	$48.166$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(-7\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(-1+\beta _{2}-\beta _{6})q^{5}+(-1+\cdots)q^{7}+\cdots\)
6032.2.a.v	$6032$	$2$	6032.a	1.a	$1$	$9$	$9$	$48.166$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-4\)	\(3\)		$+$	$+$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{6}q^{5}+\beta _{3}q^{7}+(\beta _{3}-\beta _{7}+\cdots)q^{9}+\cdots\)
6032.2.a.y	$6032$	$2$	6032.a	1.a	$1$	$9$	$9$	$48.166$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-17\)		$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{8}q^{3}+\beta _{3}q^{5}+(-2+\beta _{6})q^{7}+(1+\cdots)q^{9}+\cdots\)
6032.2.a.z	$6032$	$2$	6032.a	1.a	$1$	$10$	$10$	$48.166$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(4\)	\(3\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{2}q^{5}-\beta _{6}q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
6032.2.a.bd	$6032$	$2$	6032.a	1.a	$1$	$12$	$12$	$48.166$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-6\)	\(3\)	\(-6\)		$+$	$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+\beta _{6}q^{5}+(-1-\beta _{5}+\cdots)q^{7}+\cdots\)