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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	23	29
6003.2.a.a	$6003$	$2$	6003.a	1.a	$1$	$1$	$1$	$47.934$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-4q^{5}-4q^{7}-4q^{11}-5q^{13}+\cdots\)
6003.2.a.b	$6003$	$2$	6003.a	1.a	$1$	$1$	$1$	$47.934$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+4q^{11}+3q^{13}+4q^{16}-3q^{17}+\cdots\)
6003.2.a.c	$6003$	$2$	6003.a	1.a	$1$	$1$	$1$	$47.934$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-3\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-3q^{5}-3q^{8}-3q^{10}+\cdots\)
6003.2.a.d	$6003$	$2$	6003.a	1.a	$1$	$2$	$2$	$47.934$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(3\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+(1+\beta )q^{5}+3q^{8}+(-1+\cdots)q^{10}+\cdots\)
6003.2.a.e	$6003$	$2$	6003.a	1.a	$1$	$2$	$2$	$47.934$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+\beta q^{5}+(-2+\beta )q^{7}+q^{13}+\cdots\)
6003.2.a.f	$6003$	$2$	6003.a	1.a	$1$	$2$	$2$	$47.934$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(4\)	\(0\)		$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+2q^{5}-3q^{8}+2q^{10}+\cdots\)
6003.2.a.i	$6003$	$2$	6003.a	1.a	$1$	$7$	$7$	$47.934$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(5\)	\(-5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{2}+(1+\beta _{4}+\beta _{5})q^{4}+(1-\beta _{3}+\cdots)q^{5}+\cdots\)
6003.2.a.j	$6003$	$2$	6003.a	1.a	$1$	$7$	$7$	$47.934$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(3\)	\(0\)	\(3\)	\(-5\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+\beta _{4}q^{5}+(-1+\cdots)q^{7}+\cdots\)
6003.2.a.k	$6003$	$2$	6003.a	1.a	$1$	$10$	$10$	$47.934$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-6\)	\(3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{2}+(2+\beta _{6})q^{4}+(-1-\beta _{4})q^{5}+\cdots\)
6003.2.a.m	$6003$	$2$	6003.a	1.a	$1$	$11$	$11$	$47.934$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-2\)	\(3\)		$-$	$+$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{4}q^{5}-\beta _{6}q^{7}+\cdots\)
6003.2.a.o	$6003$	$2$	6003.a	1.a	$1$	$13$	$13$	$47.934$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-16\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{8})q^{5}+\cdots\)
6003.2.a.q	$6003$	$2$	6003.a	1.a	$1$	$16$	$16$	$47.934$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-16\)	\(1\)		$-$	$+$	$-$	$+$	$2^{6}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{3})q^{5}+\cdots\)
6003.2.a.t	$6003$	$2$	6003.a	1.a	$1$	$22$	$22$	$47.934$		None	✓	$1$	$1$	\(-3\)	\(0\)	\(0\)	\(-6\)		$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
6003.2.a.u	$6003$	$2$	6003.a	1.a	$1$	$22$	$22$	$47.934$		None	✓	$1$	$1$	\(3\)	\(0\)	\(0\)	\(-6\)		$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$