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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	127
8128.2.a.u	$8128$	$2$	8128.a	1.a	$1$	$3$	$3$	$64.902$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-2\)	\(7\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1}+\beta _{2})q^{3}+(-1+\beta _{1})q^{5}+\cdots\)
8128.2.a.v	$8128$	$2$	8128.a	1.a	$1$	$3$	$3$	$64.902$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(0\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{3}+(-2\beta _{1}+\beta _{2})q^{5}+\cdots\)
8128.2.a.w	$8128$	$2$	8128.a	1.a	$1$	$3$	$3$	$64.902$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(6\)	\(3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(2+\beta _{2})q^{5}+(1+\beta _{2})q^{7}+\cdots\)
8128.2.a.x	$8128$	$2$	8128.a	1.a	$1$	$3$	$3$	$64.902$	3.3.321.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-4\)	\(7\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(-1-\beta _{1})q^{5}+(2+\beta _{1})q^{7}+\cdots\)
8128.2.a.y	$8128$	$2$	8128.a	1.a	$1$	$3$	$3$	$64.902$	3.3.733.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{2})q^{5}+(-\beta _{1}-\beta _{2})q^{7}+\cdots\)
8128.2.a.z	$8128$	$2$	8128.a	1.a	$1$	$3$	$3$	$64.902$	3.3.733.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{2})q^{5}+(\beta _{1}+\beta _{2})q^{7}-3q^{9}+\cdots\)
8128.2.a.ba	$8128$	$2$	8128.a	1.a	$1$	$3$	$3$	$64.902$	3.3.321.1	None	✓	$1$	$1$	\(0\)	\(1\)	\(-4\)	\(-7\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(-1-\beta _{1})q^{5}+(-2-\beta _{1}+\cdots)q^{7}+\cdots\)
8128.2.a.bb	$8128$	$2$	8128.a	1.a	$1$	$3$	$3$	$64.902$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-2\)	\(-7\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1}-\beta _{2})q^{3}+(-1+\beta _{1})q^{5}+\cdots\)
8128.2.a.bc	$8128$	$2$	8128.a	1.a	$1$	$3$	$3$	$64.902$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(-3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{3}+(-2\beta _{1}+\beta _{2})q^{5}+(-1+\cdots)q^{7}+\cdots\)
8128.2.a.bd	$8128$	$2$	8128.a	1.a	$1$	$3$	$3$	$64.902$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(6\)	\(-3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(2+\beta _{2})q^{5}+(-1-\beta _{2})q^{7}+\cdots\)