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

Results (7 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	5	7
315.4.a.b	$315$	$4$	315.a	1.a	$1$	$1$	$1$	$18.586$	\(\Q\)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-5\)	\(7\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}+q^{4}-5q^{5}+7q^{7}+21q^{8}+\cdots\)
315.4.a.c	$315$	$4$	315.a	1.a	$1$	$1$	$1$	$18.586$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(5\)	\(7\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-7q^{4}+5q^{5}+7q^{7}+15q^{8}+\cdots\)
315.4.a.g	$315$	$4$	315.a	1.a	$1$	$2$	$2$	$18.586$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(10\)	\(14\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+(3+3\beta )q^{4}+5q^{5}+\cdots\)
315.4.a.i	$315$	$4$	315.a	1.a	$1$	$2$	$2$	$18.586$	\(\Q(\sqrt{65}) \)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-10\)	\(-14\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(8+\beta )q^{4}-5q^{5}-7q^{7}+(-2^{4}+\cdots)q^{8}+\cdots\)
315.4.a.j	$315$	$4$	315.a	1.a	$1$	$2$	$2$	$18.586$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(1\)	\(0\)	\(10\)	\(-14\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(-4+\beta )q^{4}+5q^{5}-7q^{7}+\cdots\)
315.4.a.k	$315$	$4$	315.a	1.a	$1$	$2$	$2$	$18.586$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-10\)	\(-14\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(1+2\beta )q^{4}-5q^{5}-7q^{7}+\cdots\)
315.4.a.n	$315$	$4$	315.a	1.a	$1$	$3$	$3$	$18.586$	3.3.22952.1	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-15\)	\(21\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(5-2\beta _{1}+\beta _{2})q^{4}+\cdots\)