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

Results (12 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
525.4.a.b	$525$	$4$	525.a	1.a	$1$	$1$	$1$	$30.976$	\(\Q\)	None	✓	$1$	$0$	\(-4\)	\(3\)	\(0\)	\(7\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+3q^{3}+8q^{4}-12q^{6}+7q^{7}+\cdots\)
525.4.a.c	$525$	$4$	525.a	1.a	$1$	$1$	$1$	$30.976$	\(\Q\)	None	✓	$1$	$0$	\(-3\)	\(-3\)	\(0\)	\(7\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}-3q^{3}+q^{4}+9q^{6}+7q^{7}+\cdots\)
525.4.a.f	$525$	$4$	525.a	1.a	$1$	$1$	$1$	$30.976$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(-3\)	\(0\)	\(7\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}-4q^{4}-6q^{6}+7q^{7}+\cdots\)
525.4.a.i	$525$	$4$	525.a	1.a	$1$	$2$	$2$	$30.976$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$0$	\(-3\)	\(-6\)	\(0\)	\(-14\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}-3q^{3}+(3+3\beta )q^{4}+\cdots\)
525.4.a.l	$525$	$4$	525.a	1.a	$1$	$2$	$2$	$30.976$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(6\)	\(0\)	\(14\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+3q^{3}+(1+2\beta )q^{4}+(3+\cdots)q^{6}+\cdots\)
525.4.a.m	$525$	$4$	525.a	1.a	$1$	$2$	$2$	$30.976$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(3\)	\(-6\)	\(0\)	\(-14\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}-3q^{3}+(-3+3\beta )q^{4}+\cdots\)
525.4.a.n	$525$	$4$	525.a	1.a	$1$	$2$	$2$	$30.976$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$0$	\(3\)	\(-6\)	\(0\)	\(-14\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}-3q^{3}+(7+3\beta )q^{4}+(-3+\cdots)q^{6}+\cdots\)
525.4.a.p	$525$	$4$	525.a	1.a	$1$	$2$	$2$	$30.976$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(7\)	\(6\)	\(0\)	\(14\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(4-\beta )q^{2}+3q^{3}+(12-7\beta )q^{4}+(12+\cdots)q^{6}+\cdots\)
525.4.a.u	$525$	$4$	525.a	1.a	$1$	$4$	$4$	$30.976$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(12\)	\(0\)	\(28\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+3q^{3}+(4+\beta _{2})q^{4}+3\beta _{1}q^{6}+\cdots\)
525.4.a.v	$525$	$4$	525.a	1.a	$1$	$4$	$4$	$30.976$	4.4.26729725.1	None	✓	$1$	$0$	\(6\)	\(12\)	\(0\)	\(-28\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{2}+3q^{3}+(3+3\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
525.4.a.w	$525$	$4$	525.a	1.a	$1$	$5$	$5$	$30.976$	5.5.78066700.1	None	✓	$1$	$0$	\(-1\)	\(15\)	\(0\)	\(-35\)		$-$	$-$	$+$	$+$	$2^{5}\cdot 5$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+3q^{3}+(5-\beta _{1}-\beta _{3})q^{4}+\cdots\)
525.4.a.x	$525$	$4$	525.a	1.a	$1$	$5$	$5$	$30.976$	5.5.78066700.1	None	✓	$1$	$0$	\(1\)	\(-15\)	\(0\)	\(35\)		$+$	$-$	$-$	$+$	$2^{5}\cdot 5$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-3q^{3}+(5-\beta _{1}-\beta _{3})q^{4}+\cdots\)