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

Results (13 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	7	127
8001.2.a.a	$8001$	$2$	8001.a	1.a	$1$	$1$	$1$	$63.888$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(0\)	\(-3\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}-3q^{5}-q^{7}+6q^{10}+\cdots\)
8001.2.a.b	$8001$	$2$	8001.a	1.a	$1$	$1$	$1$	$63.888$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(0\)	\(-1\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}-q^{5}-q^{7}+2q^{10}+\cdots\)
8001.2.a.c	$8001$	$2$	8001.a	1.a	$1$	$1$	$1$	$63.888$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(0\)	\(-3\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-3q^{5}+q^{7}-6q^{11}-q^{13}+\cdots\)
8001.2.a.g	$8001$	$2$	8001.a	1.a	$1$	$1$	$1$	$63.888$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(1\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}+q^{5}-q^{7}+2q^{10}+\cdots\)
8001.2.a.k	$8001$	$2$	8001.a	1.a	$1$	$2$	$2$	$63.888$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+4q^{4}+\beta q^{5}+q^{7}+2\beta q^{8}+\cdots\)
8001.2.a.n	$8001$	$2$	8001.a	1.a	$1$	$12$	$12$	$63.888$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(7\)	\(0\)	\(7\)	\(12\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{6}+\beta _{7})q^{4}+\cdots\)
8001.2.a.p	$8001$	$2$	8001.a	1.a	$1$	$14$	$14$	$63.888$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(5\)	\(0\)	\(4\)	\(-14\)		$-$	$+$	$+$	$-$	$5$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}-q^{7}+\cdots\)
8001.2.a.s	$8001$	$2$	8001.a	1.a	$1$	$16$	$16$	$63.888$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$0$	\(-4\)	\(0\)	\(-5\)	\(-16\)		$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{7}q^{5}-q^{7}+\cdots\)
8001.2.a.t	$8001$	$2$	8001.a	1.a	$1$	$16$	$16$	$63.888$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(9\)	\(-16\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{11})q^{5}+\cdots\)
8001.2.a.u	$8001$	$2$	8001.a	1.a	$1$	$18$	$18$	$63.888$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(6\)	\(0\)	\(10\)	\(18\)		$-$	$-$	$-$	$-$	$2\cdot 5$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{12})q^{5}+\cdots\)
8001.2.a.v	$8001$	$2$	8001.a	1.a	$1$	$19$	$19$	$63.888$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	$1$	$0$	\(-4\)	\(0\)	\(-5\)	\(19\)		$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{10}q^{5}+q^{7}+\cdots\)
8001.2.a.y	$8001$	$2$	8001.a	1.a	$1$	$28$	$28$	$63.888$		None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-28\)		$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
8001.2.a.ba	$8001$	$2$	8001.a	1.a	$1$	$40$	$40$	$63.888$		None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(40\)		$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$