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

Results (17 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	3	167
8016.2.a.a	$8016$	$2$	8016.a	1.a	$1$	$1$	$1$	$64.008$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-3\)	\(3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}+3q^{7}+q^{9}-6q^{13}+\cdots\)
8016.2.a.c	$8016$	$2$	8016.a	1.a	$1$	$1$	$1$	$64.008$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-1\)	\(1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
8016.2.a.e	$8016$	$2$	8016.a	1.a	$1$	$1$	$1$	$64.008$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{9}+2q^{17}+8q^{19}+4q^{23}+\cdots\)
8016.2.a.g	$8016$	$2$	8016.a	1.a	$1$	$1$	$1$	$64.008$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-4\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-4q^{5}-4q^{7}+q^{9}-4q^{11}+\cdots\)
8016.2.a.h	$8016$	$2$	8016.a	1.a	$1$	$1$	$1$	$64.008$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{9}-4q^{13}+6q^{17}-4q^{23}+\cdots\)
8016.2.a.i	$8016$	$2$	8016.a	1.a	$1$	$1$	$1$	$64.008$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+3q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
8016.2.a.j	$8016$	$2$	8016.a	1.a	$1$	$1$	$1$	$64.008$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(3\)	\(-3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{5}-3q^{7}+q^{9}-6q^{11}+\cdots\)
8016.2.a.l	$8016$	$2$	8016.a	1.a	$1$	$3$	$3$	$64.008$	3.3.148.1	None	✓	$1$	$1$	\(0\)	\(3\)	\(-3\)	\(5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1+\beta _{2})q^{5}+(2-\beta _{1}+\beta _{2})q^{7}+\cdots\)
8016.2.a.q	$8016$	$2$	8016.a	1.a	$1$	$5$	$5$	$64.008$	5.5.161121.1	None	✓	$1$	$1$	\(0\)	\(-5\)	\(-7\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-1-\beta _{3}-\beta _{4})q^{5}+(1-\beta _{1}+\cdots)q^{7}+\cdots\)
8016.2.a.r	$8016$	$2$	8016.a	1.a	$1$	$5$	$5$	$64.008$	5.5.11256624.1	None	✓	$1$	$1$	\(0\)	\(-5\)	\(-1\)	\(-9\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta _{2}q^{5}+(-2+\beta _{4})q^{7}+q^{9}+\cdots\)
8016.2.a.s	$8016$	$2$	8016.a	1.a	$1$	$5$	$5$	$64.008$	5.5.284897.1	None	✓	$1$	$1$	\(0\)	\(-5\)	\(1\)	\(4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-\beta _{3}+\beta _{4})q^{5}+(1+\beta _{2}-\beta _{3}+\cdots)q^{7}+\cdots\)
8016.2.a.t	$8016$	$2$	8016.a	1.a	$1$	$5$	$5$	$64.008$	5.5.149169.1	None	✓	$1$	$1$	\(0\)	\(5\)	\(-3\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-\beta _{1}+\beta _{3}-\beta _{4})q^{5}+(\beta _{1}+\beta _{4})q^{7}+\cdots\)
8016.2.a.w	$8016$	$2$	8016.a	1.a	$1$	$7$	$7$	$64.008$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(7\)	\(-3\)	\(-8\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}-\beta _{1}q^{5}+(-1-\beta _{2})q^{7}+q^{9}+\cdots\)
8016.2.a.x	$8016$	$2$	8016.a	1.a	$1$	$8$	$8$	$64.008$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-8\)	\(7\)	\(4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(1+\beta _{2})q^{5}+(1-\beta _{1}+\beta _{3}+\beta _{5}+\cdots)q^{7}+\cdots\)
8016.2.a.z	$8016$	$2$	8016.a	1.a	$1$	$8$	$8$	$64.008$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(8\)	\(1\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(\beta _{1}+\beta _{2}-\beta _{5})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
8016.2.a.bd	$8016$	$2$	8016.a	1.a	$1$	$10$	$10$	$64.008$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(10\)	\(-10\)	\(-1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1-\beta _{1})q^{5}+(-\beta _{2}-\beta _{4}+\cdots)q^{7}+\cdots\)
8016.2.a.bf	$8016$	$2$	8016.a	1.a	$1$	$12$	$12$	$64.008$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-12\)	\(4\)	\(-11\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta _{1}q^{5}+(-1+\beta _{9})q^{7}+q^{9}+\cdots\)