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

Results (9 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	7	11
462.8.a.a	$462$	$8$	462.a	1.a	$1$	$1$	$1$	$144.322$	\(\Q\)	None	✓	$1$	$0$	\(-8\)	\(-27\)	\(182\)	\(343\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{2}-3^{3}q^{3}+2^{6}q^{4}+182q^{5}+\cdots\)
462.8.a.b	$462$	$8$	462.a	1.a	$1$	$3$	$3$	$144.322$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-24\)	\(-81\)	\(-30\)	\(1029\)		$+$	$+$	$-$	$-$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(-10-5\beta _{1}+\cdots)q^{5}+\cdots\)
462.8.a.e	$462$	$8$	462.a	1.a	$1$	$4$	$4$	$144.322$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(-32\)	\(-108\)	\(238\)	\(-1372\)		$+$	$+$	$+$	$+$	$+$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q-8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(59+\beta _{1}+\cdots)q^{5}+\cdots\)
462.8.a.g	$462$	$8$	462.a	1.a	$1$	$4$	$4$	$144.322$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(32\)	\(-108\)	\(82\)	\(1372\)		$-$	$+$	$-$	$+$	$+$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(20-\beta _{1}+\cdots)q^{5}+\cdots\)
462.8.a.k	$462$	$8$	462.a	1.a	$1$	$5$	$5$	$144.322$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-40\)	\(135\)	\(-98\)	\(1715\)		$+$	$-$	$-$	$+$	$+$	$2^{4}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q-8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(-20+\beta _{1}+\cdots)q^{5}+\cdots\)
462.8.a.l	$462$	$8$	462.a	1.a	$1$	$5$	$5$	$144.322$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-40\)	\(135\)	\(238\)	\(-1715\)		$+$	$-$	$+$	$-$	$+$	$2^{5}\cdot 3^{3}$	$\mathrm{SU}(2)$	\(q-8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(48-\beta _{1}+\cdots)q^{5}+\cdots\)
462.8.a.o	$462$	$8$	462.a	1.a	$1$	$5$	$5$	$144.322$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(40\)	\(-135\)	\(-82\)	\(-1715\)		$-$	$+$	$+$	$-$	$+$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(-2^{4}-\beta _{1}+\cdots)q^{5}+\cdots\)
462.8.a.p	$462$	$8$	462.a	1.a	$1$	$5$	$5$	$144.322$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(40\)	\(135\)	\(-82\)	\(-1715\)		$-$	$-$	$+$	$+$	$+$	$2^{4}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(-2^{4}-\beta _{1}+\cdots)q^{5}+\cdots\)
462.8.a.q	$462$	$8$	462.a	1.a	$1$	$6$	$6$	$144.322$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(48\)	\(162\)	\(332\)	\(2058\)		$-$	$-$	$-$	$-$	$+$	$2^{6}\cdot 3^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q+8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(55+\beta _{1}+\cdots)q^{5}+\cdots\)