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

Results (15 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	7	11	13
8008.2.a.a	$8008$	$2$	8008.a	1.a	$1$	$1$	$1$	$63.944$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-1\)	\(1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{5}+q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
8008.2.a.c	$8008$	$2$	8008.a	1.a	$1$	$1$	$1$	$63.944$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-1\)	\(-3\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}-q^{7}-2q^{9}-q^{11}-q^{13}+\cdots\)
8008.2.a.d	$8008$	$2$	8008.a	1.a	$1$	$1$	$1$	$63.944$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+q^{7}-3q^{9}+q^{11}-q^{13}+\cdots\)
8008.2.a.e	$8008$	$2$	8008.a	1.a	$1$	$1$	$1$	$63.944$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(1\)	\(1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+q^{5}+q^{7}+6q^{9}-q^{11}+q^{13}+\cdots\)
8008.2.a.f	$8008$	$2$	8008.a	1.a	$1$	$2$	$2$	$63.944$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(1\)	\(1\)	\(-2\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(1-\beta )q^{5}-q^{7}+(-2+\beta )q^{9}+\cdots\)
8008.2.a.h	$8008$	$2$	8008.a	1.a	$1$	$2$	$2$	$63.944$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(3\)	\(5\)	\(2\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(2+\beta )q^{5}+q^{7}+(1+3\beta )q^{9}+\cdots\)
8008.2.a.j	$8008$	$2$	8008.a	1.a	$1$	$5$	$5$	$63.944$	5.5.668973.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(-1\)	\(5\)		$+$	$-$	$+$	$+$	$-$	$3$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{3}q^{5}+q^{7}+(1+\beta _{2}-\beta _{4})q^{9}+\cdots\)
8008.2.a.k	$8008$	$2$	8008.a	1.a	$1$	$6$	$6$	$63.944$	6.6.244558277.1	None	✓	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(6\)		$+$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{5}q^{5}+q^{7}+(2+\beta _{2})q^{9}+\cdots\)
8008.2.a.n	$8008$	$2$	8008.a	1.a	$1$	$9$	$9$	$63.944$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(1\)	\(-9\)		$+$	$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{6}q^{5}-q^{7}+(1+\beta _{4}-\beta _{5}+\cdots)q^{9}+\cdots\)
8008.2.a.q	$8008$	$2$	8008.a	1.a	$1$	$9$	$9$	$63.944$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(8\)	\(9\)		$-$	$-$	$-$	$+$	$-$	$5$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1-\beta _{7})q^{5}+q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
8008.2.a.r	$8008$	$2$	8008.a	1.a	$1$	$9$	$9$	$63.944$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(5\)	\(3\)	\(-9\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+\beta _{6}q^{5}-q^{7}+(1+\beta _{3}+\cdots)q^{9}+\cdots\)
8008.2.a.t	$8008$	$2$	8008.a	1.a	$1$	$10$	$10$	$63.944$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(3\)	\(10\)		$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{6}q^{5}+q^{7}+(1+\beta _{2})q^{9}+\cdots\)
8008.2.a.w	$8008$	$2$	8008.a	1.a	$1$	$11$	$11$	$63.944$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(-2\)	\(-11\)		$-$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{6}q^{5}-q^{7}+(1+\beta _{2})q^{9}+\cdots\)
8008.2.a.x	$8008$	$2$	8008.a	1.a	$1$	$12$	$12$	$63.944$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(4\)	\(6\)	\(12\)		$+$	$-$	$-$	$-$	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{4}q^{5}+q^{7}+(1+\beta _{2})q^{9}+\cdots\)
8008.2.a.z	$8008$	$2$	8008.a	1.a	$1$	$15$	$15$	$63.944$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(4\)	\(-15\)		$+$	$+$	$+$	$-$	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{11}q^{5}-q^{7}+(2+\beta _{2})q^{9}+\cdots\)