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

Results (8 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
462.4.a.g	$462$	$4$	462.a	1.a	$1$	$1$	$1$	$27.259$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(-3\)	\(3\)	\(7\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+3q^{5}-6q^{6}+\cdots\)
462.4.a.j	$462$	$4$	462.a	1.a	$1$	$2$	$2$	$27.259$	\(\Q(\sqrt{177}) \)	None	✓	$1$	$0$	\(-4\)	\(-6\)	\(3\)	\(14\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+(1+\beta )q^{5}+6q^{6}+\cdots\)
462.4.a.k	$462$	$4$	462.a	1.a	$1$	$2$	$2$	$27.259$	\(\Q(\sqrt{697}) \)	None	✓	$1$	$0$	\(-4\)	\(-6\)	\(7\)	\(-14\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+(4-\beta )q^{5}+6q^{6}+\cdots\)
462.4.a.o	$462$	$4$	462.a	1.a	$1$	$2$	$2$	$27.259$	\(\Q(\sqrt{817}) \)	None	✓	$1$	$0$	\(4\)	\(-6\)	\(-3\)	\(-14\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(-1-\beta )q^{5}+\cdots\)
462.4.a.p	$462$	$4$	462.a	1.a	$1$	$2$	$2$	$27.259$	\(\Q(\sqrt{793}) \)	None	✓	$1$	$0$	\(4\)	\(6\)	\(-3\)	\(-14\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}+(-1-\beta )q^{5}+\cdots\)
462.4.a.q	$462$	$4$	462.a	1.a	$1$	$3$	$3$	$27.259$	3.3.768425.1	None	✓	$1$	$0$	\(-6\)	\(9\)	\(-7\)	\(21\)		$+$	$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(-2+\beta _{1})q^{5}+\cdots\)
462.4.a.r	$462$	$4$	462.a	1.a	$1$	$3$	$3$	$27.259$	3.3.1028796.1	None	✓	$1$	$0$	\(-6\)	\(9\)	\(7\)	\(-21\)		$+$	$-$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(2+\beta _{1})q^{5}+\cdots\)
462.4.a.s	$462$	$4$	462.a	1.a	$1$	$3$	$3$	$27.259$	3.3.843032.1	None	✓	$1$	$0$	\(6\)	\(9\)	\(13\)	\(21\)		$-$	$-$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}+(4+\beta _{1})q^{5}+\cdots\)