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

Results (14 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	7	23
4025.2.a.b	$4025$	$2$	4025.a	1.a	$1$	$1$	$1$	$32.140$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(1\)	\(0\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{7}-2q^{9}+\cdots\)
4025.2.a.c	$4025$	$2$	4025.a	1.a	$1$	$1$	$1$	$32.140$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}+q^{7}-2q^{9}-q^{11}+2q^{12}+\cdots\)
4025.2.a.d	$4025$	$2$	4025.a	1.a	$1$	$1$	$1$	$32.140$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-q^{7}-2q^{9}-q^{11}-2q^{12}+\cdots\)
4025.2.a.i	$4025$	$2$	4025.a	1.a	$1$	$2$	$2$	$32.140$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(1\)	\(2\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
4025.2.a.k	$4025$	$2$	4025.a	1.a	$1$	$3$	$3$	$32.140$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(0\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(-1+\beta _{1}-2\beta _{2})q^{3}+\cdots\)
4025.2.a.l	$4025$	$2$	4025.a	1.a	$1$	$4$	$4$	$32.140$	4.4.2777.1	None	✓	$1$	$1$	\(-3\)	\(-6\)	\(0\)	\(4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(-1-\beta _{3})q^{3}+(1+\cdots)q^{4}+\cdots\)
4025.2.a.q	$4025$	$2$	4025.a	1.a	$1$	$5$	$5$	$32.140$	5.5.255877.1	None	✓	$1$	$1$	\(1\)	\(4\)	\(0\)	\(-5\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4025.2.a.s	$4025$	$2$	4025.a	1.a	$1$	$8$	$8$	$32.140$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(-2\)	\(0\)	\(8\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(\beta _{1}+\beta _{2})q^{4}+(\beta _{6}+\cdots)q^{6}+\cdots\)
4025.2.a.t	$4025$	$2$	4025.a	1.a	$1$	$8$	$8$	$32.140$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(-7\)	\(0\)	\(-8\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1-\beta _{6})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4025.2.a.u	$4025$	$2$	4025.a	1.a	$1$	$8$	$8$	$32.140$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(-4\)	\(0\)	\(8\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1-\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4025.2.a.x	$4025$	$2$	4025.a	1.a	$1$	$12$	$12$	$32.140$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(12\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{6}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
4025.2.a.y	$4025$	$2$	4025.a	1.a	$1$	$12$	$12$	$32.140$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(0\)	\(-12\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{6}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
4025.2.a.z	$4025$	$2$	4025.a	1.a	$1$	$14$	$14$	$32.140$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(-4\)	\(0\)	\(-14\)		$+$	$+$	$+$	$+$	$5$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{7}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
4025.2.a.ba	$4025$	$2$	4025.a	1.a	$1$	$14$	$14$	$32.140$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(-6\)	\(0\)	\(-14\)		$-$	$+$	$-$	$+$	$3^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots\)