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

Results (13 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7
441.6.a.f	$441$	$6$	441.a	1.a	$1$	$1$	$1$	$70.729$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-2^{5}q^{4}+427q^{13}+2^{10}q^{16}-3143q^{19}+\cdots\)
441.6.a.g	$441$	$6$	441.a	1.a	$1$	$1$	$1$	$70.729$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-11\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-28q^{4}-11q^{5}-120q^{8}+\cdots\)
441.6.a.n	$441$	$6$	441.a	1.a	$1$	$2$	$2$	$70.729$	\(\Q(\sqrt{37}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(38\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+(6+2\beta )q^{4}+(19+10\beta )q^{5}+\cdots\)
441.6.a.o	$441$	$6$	441.a	1.a	$1$	$2$	$2$	$70.729$	\(\Q(\sqrt{7}) \)	\(\Q(\sqrt{-7}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+\beta q^{2}-5^{2}q^{4}-57\beta q^{8}-302\beta q^{11}+\cdots\)
441.6.a.p	$441$	$6$	441.a	1.a	$1$	$2$	$2$	$70.729$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-4q^{4}+7\beta q^{5}-6^{2}\beta q^{8}+14^{2}q^{10}+\cdots\)
441.6.a.t	$441$	$6$	441.a	1.a	$1$	$2$	$2$	$70.729$	\(\Q(\sqrt{249}) \)	None	✓	$1$	$0$	\(3\)	\(0\)	\(33\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(31+3\beta )q^{4}+(13+7\beta )q^{5}+\cdots\)
441.6.a.w	$441$	$6$	441.a	1.a	$1$	$4$	$4$	$70.729$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(-3\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$7$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(18-\beta _{1}+\beta _{2})q^{4}+\cdots\)
441.6.a.x	$441$	$6$	441.a	1.a	$1$	$4$	$4$	$70.729$	4.4.358541904.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(24+\beta _{3})q^{4}+(-3\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
441.6.a.y	$441$	$6$	441.a	1.a	$1$	$4$	$4$	$70.729$	\(\Q(\sqrt{19}, \sqrt{69})\)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{8}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+44q^{4}+\beta _{2}q^{5}+12\beta _{1}q^{8}+\cdots\)
441.6.a.z	$441$	$6$	441.a	1.a	$1$	$4$	$4$	$70.729$	\(\Q(\sqrt{2}, \sqrt{113})\)	None	✓	$2$	$0$	\(10\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$7$	$\mathrm{SU}(2)$	\(q+(2-\beta _{1})q^{2}-5\beta _{1}q^{4}+(8\beta _{2}-2\beta _{3})q^{5}+\cdots\)
441.6.a.ba	$441$	$6$	441.a	1.a	$1$	$6$	$6$	$70.729$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-100\)	\(0\)		$-$	$+$	$-$	$2^{4}\cdot 7^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(5^{2}-\beta _{1}+\beta _{4})q^{4}+(-2^{4}+\cdots)q^{5}+\cdots\)
441.6.a.bb	$441$	$6$	441.a	1.a	$1$	$6$	$6$	$70.729$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(100\)	\(0\)		$-$	$+$	$-$	$2^{4}\cdot 7^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(5^{2}-\beta _{1}+\beta _{4})q^{4}+(2^{4}+2\beta _{1}+\cdots)q^{5}+\cdots\)
441.6.a.bd	$441$	$6$	441.a	1.a	$1$	$6$	$6$	$70.729$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{2}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(30+\beta _{3})q^{4}+(2\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)