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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	11	61
4026.2.a.b	$4026$	$2$	4026.a	1.a	$1$	$1$	$1$	$32.148$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(3\)	\(-4\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}-4q^{7}+\cdots\)
4026.2.a.m	$4026$	$2$	4026.a	1.a	$1$	$2$	$2$	$32.148$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(-2\)	\(-1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-2\beta q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
4026.2.a.n	$4026$	$2$	4026.a	1.a	$1$	$3$	$3$	$32.148$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(-3\)	\(3\)	\(-3\)	\(0\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+(-1-\beta _{1})q^{5}-q^{6}+\cdots\)
4026.2.a.o	$4026$	$2$	4026.a	1.a	$1$	$3$	$3$	$32.148$	3.3.1129.1	None	✓	$1$	$1$	\(3\)	\(-3\)	\(-3\)	\(-2\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(-1+\beta _{1})q^{5}-q^{6}+\cdots\)
4026.2.a.p	$4026$	$2$	4026.a	1.a	$1$	$3$	$3$	$32.148$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(3\)	\(3\)	\(-5\)	\(-6\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+(-2-\beta _{2})q^{5}+q^{6}+\cdots\)
4026.2.a.r	$4026$	$2$	4026.a	1.a	$1$	$4$	$4$	$32.148$	4.4.7537.1	None	✓	$1$	$1$	\(-4\)	\(4\)	\(1\)	\(-4\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-\beta _{2}q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
4026.2.a.t	$4026$	$2$	4026.a	1.a	$1$	$4$	$4$	$32.148$	4.4.2777.1	None	✓	$1$	$1$	\(4\)	\(4\)	\(-4\)	\(-6\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+(-1-\beta _{2})q^{5}+q^{6}+\cdots\)
4026.2.a.w	$4026$	$2$	4026.a	1.a	$1$	$6$	$6$	$32.148$	6.6.30998405.1	None	✓	$1$	$1$	\(-6\)	\(-6\)	\(-1\)	\(5\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-\beta _{2}q^{5}+q^{6}+(1+\cdots)q^{7}+\cdots\)
4026.2.a.x	$4026$	$2$	4026.a	1.a	$1$	$6$	$6$	$32.148$	6.6.46101901.1	None	✓	$1$	$1$	\(6\)	\(-6\)	\(-6\)	\(1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(-1+\beta _{3})q^{5}-q^{6}+\cdots\)
4026.2.a.y	$4026$	$2$	4026.a	1.a	$1$	$7$	$7$	$32.148$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-7\)	\(-7\)	\(-2\)	\(1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}+\beta _{6}q^{7}+\cdots\)