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

Results (14 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		13	17
2873.2.a.a	$2873$	$2$	2873.a	1.a	$1$	$1$	$1$	$22.941$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(2\)	\(-2\)	\(-2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}-q^{4}-2q^{5}-2q^{6}-2q^{7}+\cdots\)
2873.2.a.b	$2873$	$2$	2873.a	1.a	$1$	$1$	$1$	$22.941$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-4\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-4q^{5}+2q^{7}-3q^{8}-3q^{9}+\cdots\)
2873.2.a.c	$2873$	$2$	2873.a	1.a	$1$	$1$	$1$	$22.941$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(2\)	\(-4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+2q^{5}-4q^{7}-3q^{8}-3q^{9}+\cdots\)
2873.2.a.f	$2873$	$2$	2873.a	1.a	$1$	$2$	$2$	$22.941$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(2\)	\(-4\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(1-\beta )q^{3}+3q^{4}+(1-\beta )q^{5}+\cdots\)
2873.2.a.g	$2873$	$2$	2873.a	1.a	$1$	$2$	$2$	$22.941$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(4\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+2q^{3}+q^{4}+2\beta q^{5}+2\beta q^{6}+\cdots\)
2873.2.a.i	$2873$	$2$	2873.a	1.a	$1$	$2$	$2$	$22.941$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$0$	\(1\)	\(1\)	\(2\)	\(5\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1-\beta )q^{3}+(3+\beta )q^{4}+q^{5}+\cdots\)
2873.2.a.k	$2873$	$2$	2873.a	1.a	$1$	$3$	$3$	$22.941$	3.3.229.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(2\)	\(9\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-1+\beta _{1})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
2873.2.a.m	$2873$	$2$	2873.a	1.a	$1$	$6$	$6$	$22.941$	6.6.434581.1	None	✓	$1$	$0$	\(-3\)	\(6\)	\(6\)	\(8\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{2}+(1+\beta _{1}+\beta _{2})q^{3}+(-\beta _{3}+\cdots)q^{4}+\cdots\)
2873.2.a.r	$2873$	$2$	2873.a	1.a	$1$	$10$	$10$	$22.941$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{3}q^{3}+(2+\beta _{2})q^{4}-\beta _{4}q^{5}+\cdots\)
2873.2.a.s	$2873$	$2$	2873.a	1.a	$1$	$11$	$11$	$22.941$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(5\)	\(-1\)	\(1\)		$+$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{9}q^{3}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+\cdots\)
2873.2.a.t	$2873$	$2$	2873.a	1.a	$1$	$11$	$11$	$22.941$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(5\)	\(1\)	\(-1\)		$+$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{9}q^{3}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots\)
2873.2.a.w	$2873$	$2$	2873.a	1.a	$1$	$18$	$18$	$22.941$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(10\)	\(-5\)	\(-5\)	\(17\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+\beta _{15}q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
2873.2.a.x	$2873$	$2$	2873.a	1.a	$1$	$22$	$22$	$22.941$		None	✓	$2$	$0$	\(0\)	\(6\)	\(0\)	\(0\)		$-$	$+$	$-$		$\mathrm{SU}(2)$
2873.2.a.z	$2873$	$2$	2873.a	1.a	$1$	$24$	$24$	$22.941$		None	✓	$1$	$0$	\(5\)	\(1\)	\(11\)	\(33\)		$+$	$-$	$-$		$\mathrm{SU}(2)$