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Results (5 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1172.1.i.a	$1172$	$1$	1172.i	1172.i	$146$	$72$	$1$	$0.585$	\(\Q(\zeta_{146})\)	$D_{73}$	\(\Q(\sqrt{-1}) \)	None		✓	✓	✓	1172.1.i.a	$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+\zeta_{146}^{56}q^{2}-\zeta_{146}^{39}q^{4}+(\zeta_{146}^{10}+\cdots)q^{5}+\cdots\)
1317.1.l.a	$1317$	$1$	1317.l	1317.l	$146$	$72$	$1$	$0.657$	\(\Q(\zeta_{146})\)	$D_{73}$	\(\Q(\sqrt{-3}) \)	None		✓	✓	✓	1317.1.l.a	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q-\zeta_{146}^{61}q^{3}-\zeta_{146}^{17}q^{4}+(-\zeta_{146}^{9}+\cdots)q^{7}+\cdots\)
2631.1.o.a	$2631$	$1$	2631.o	2631.o	$146$	$72$	$1$	$1.313$	\(\Q(\zeta_{146})\)	$D_{73}$	\(\Q(\sqrt{-3}) \)	None		✓	✓	✓	2631.1.o.a	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q-\zeta_{146}q^{3}-\zeta_{146}^{63}q^{4}+(\zeta_{146}^{30}-\zeta_{146}^{65}+\cdots)q^{7}+\cdots\)
2999.1.b.a	$2999$	$1$	2999.b	2999.b	$2$	$36$	$36$	$1.497$	\(\Q(\zeta_{146})^+\)	$D_{73}$	\(\Q(\sqrt{-2999}) \)	None	✓	✓	✓	✓	2999.1.b.a	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q-\beta _{1}q^{2}-\beta _{27}q^{3}+(1+\beta _{2})q^{4}-\beta _{33}q^{5}+\cdots\)
3508.1.o.a	$3508$	$1$	3508.o	3508.o	$146$	$72$	$1$	$1.751$	\(\Q(\zeta_{146})\)	$D_{73}$	\(\Q(\sqrt{-1}) \)	None		✓	✓	✓	3508.1.o.a	$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\zeta_{146}^{35}q^{2}+\zeta_{146}^{70}q^{4}+(-\zeta_{146}^{27}+\cdots)q^{5}+\cdots\)