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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	11
495.4.a.a	$495$	$4$	495.a	1.a	$1$	$1$	$1$	$29.206$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(5\)	\(-9\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-7q^{4}+5q^{5}-9q^{7}+15q^{8}+\cdots\)
495.4.a.b	$495$	$4$	495.a	1.a	$1$	$1$	$1$	$29.206$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(5\)	\(36\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-7q^{4}+5q^{5}+6^{2}q^{7}+15q^{8}+\cdots\)
495.4.a.e	$495$	$4$	495.a	1.a	$1$	$2$	$2$	$29.206$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(7\)	\(0\)	\(-10\)	\(-25\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(4-\beta )q^{2}+(12-7\beta )q^{4}-5q^{5}+(-8+\cdots)q^{7}+\cdots\)
495.4.a.g	$495$	$4$	495.a	1.a	$1$	$3$	$3$	$29.206$	3.3.788.1	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-15\)	\(-16\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+(-2-\beta _{1})q^{4}-5q^{5}+(-3+\cdots)q^{7}+\cdots\)
495.4.a.k	$495$	$4$	495.a	1.a	$1$	$3$	$3$	$29.206$	3.3.47528.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(15\)	\(10\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(10+\beta _{2})q^{4}+5q^{5}+\cdots\)
495.4.a.l	$495$	$4$	495.a	1.a	$1$	$3$	$3$	$29.206$	3.3.23612.1	None	✓	$1$	$0$	\(4\)	\(0\)	\(15\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{2}+(7+\beta _{1}+\beta _{2})q^{4}+5q^{5}+\cdots\)
495.4.a.m	$495$	$4$	495.a	1.a	$1$	$4$	$4$	$29.206$	4.4.1540841.1	None	✓	$1$	$0$	\(-4\)	\(0\)	\(-20\)	\(34\)		$-$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(7-\beta _{1}+\beta _{3})q^{4}+\cdots\)
495.4.a.o	$495$	$4$	495.a	1.a	$1$	$7$	$7$	$29.206$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(-5\)	\(0\)	\(-35\)	\(30\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(5-\beta _{1}+\beta _{2})q^{4}+\cdots\)
495.4.a.p	$495$	$4$	495.a	1.a	$1$	$7$	$7$	$29.206$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(5\)	\(0\)	\(35\)	\(30\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(5-\beta _{1}+\beta _{2})q^{4}+5q^{5}+\cdots\)