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

Results (11 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.b	$8008$	$2$	8008.a	1.a	$1$	$1$	$1$	$63.944$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(1\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{5}-q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
8008.2.a.g	$8008$	$2$	8008.a	1.a	$1$	$2$	$2$	$63.944$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(1-\beta )q^{5}+q^{7}+(-2+\beta )q^{9}+\cdots\)
8008.2.a.i	$8008$	$2$	8008.a	1.a	$1$	$3$	$3$	$63.944$	3.3.229.1	None	✓	$1$	$1$	\(0\)	\(2\)	\(6\)	\(-3\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}+(2-\beta _{1})q^{5}-q^{7}+(1+\cdots)q^{9}+\cdots\)
8008.2.a.l	$8008$	$2$	8008.a	1.a	$1$	$8$	$8$	$63.944$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-5\)	\(-7\)	\(8\)		$-$	$-$	$-$	$-$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{3})q^{3}+(-1+\beta _{5})q^{5}+q^{7}+\cdots\)
8008.2.a.m	$8008$	$2$	8008.a	1.a	$1$	$9$	$9$	$63.944$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-5\)	\(-5\)	\(-9\)		$-$	$+$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(-1+\beta _{6})q^{5}-q^{7}+\cdots\)
8008.2.a.o	$8008$	$2$	8008.a	1.a	$1$	$9$	$9$	$63.944$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-4\)	\(9\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{4}q^{5}+q^{7}+\beta _{2}q^{9}-q^{11}+\cdots\)
8008.2.a.p	$8008$	$2$	8008.a	1.a	$1$	$9$	$9$	$63.944$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-4\)	\(-9\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{3}q^{5}-q^{7}+(-\beta _{3}+\beta _{5}+\cdots)q^{9}+\cdots\)
8008.2.a.s	$8008$	$2$	8008.a	1.a	$1$	$10$	$10$	$63.944$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-4\)	\(10\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{9}q^{5}+q^{7}+(1+\beta _{5}-\beta _{6}+\cdots)q^{9}+\cdots\)
8008.2.a.u	$8008$	$2$	8008.a	1.a	$1$	$10$	$10$	$63.944$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-4\)	\(-10\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{6}q^{5}-q^{7}+(\beta _{1}+\beta _{2})q^{9}+\cdots\)
8008.2.a.v	$8008$	$2$	8008.a	1.a	$1$	$11$	$11$	$63.944$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(2\)	\(-11\)		$-$	$+$	$-$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{3}q^{5}-q^{7}+(1+\beta _{3}+\beta _{9}+\cdots)q^{9}+\cdots\)
8008.2.a.y	$8008$	$2$	8008.a	1.a	$1$	$14$	$14$	$63.944$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-6\)	\(14\)		$-$	$-$	$+$	$+$	$+$	$2^{5}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{10}q^{5}+q^{7}+(2+\beta _{2})q^{9}+\cdots\)