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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	23
1058.2.a.a	$1058$	$2$	1058.a	1.a	$1$	$1$	$1$	$8.448$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(-3\)	\(-2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}-3q^{5}+2q^{6}-2q^{7}+\cdots\)
1058.2.a.b	$1058$	$2$	1058.a	1.a	$1$	$1$	$1$	$8.448$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-2\)	\(3\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}+3q^{5}+2q^{6}+2q^{7}+\cdots\)
1058.2.a.c	$1058$	$2$	1058.a	1.a	$1$	$1$	$1$	$8.448$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-4\)	\(4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-4q^{5}+4q^{7}-q^{8}-3q^{9}+\cdots\)
1058.2.a.d	$1058$	$2$	1058.a	1.a	$1$	$1$	$1$	$8.448$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(3\)	\(-2\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+3q^{3}+q^{4}-2q^{5}-3q^{6}+2q^{7}+\cdots\)
1058.2.a.e	$1058$	$2$	1058.a	1.a	$1$	$1$	$1$	$8.448$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(3\)	\(2\)	\(-2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+3q^{3}+q^{4}+2q^{5}-3q^{6}-2q^{7}+\cdots\)
1058.2.a.f	$1058$	$2$	1058.a	1.a	$1$	$2$	$2$	$8.448$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(-2\)	\(2\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+2\beta q^{5}-q^{6}+2\beta q^{7}+\cdots\)
1058.2.a.h	$1058$	$2$	1058.a	1.a	$1$	$2$	$2$	$8.448$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(2\)	\(4\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}+2q^{6}+2\beta q^{7}+\cdots\)
1058.2.a.k	$1058$	$2$	1058.a	1.a	$1$	$5$	$5$	$8.448$	\(\Q(\zeta_{22})^+\)	None	✓	$1$	$0$	\(-5\)	\(0\)	\(2\)	\(9\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-\beta _{1}+\beta _{3})q^{3}+q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots\)
1058.2.a.m	$1058$	$2$	1058.a	1.a	$1$	$5$	$5$	$8.448$	\(\Q(\zeta_{22})^+\)	None	✓	$1$	$0$	\(5\)	\(-2\)	\(8\)	\(7\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-\beta _{1}-\beta _{3})q^{3}+q^{4}+(2+\beta _{2}+\cdots)q^{5}+\cdots\)
1058.2.a.n	$1058$	$2$	1058.a	1.a	$1$	$8$	$8$	$8.448$	8.8.\(\cdots\).1	None	✓	$2$	$0$	\(8\)	\(4\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{5}q^{3}+q^{4}+(\beta _{2}+\beta _{4})q^{5}+\cdots\)