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

Results (12 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	19	47
8037.2.a.a	$8037$	$2$	8037.a	1.a	$1$	$1$	$1$	$64.176$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(3\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+3q^{5}+q^{7}-6q^{10}+\cdots\)
8037.2.a.c	$8037$	$2$	8037.a	1.a	$1$	$1$	$1$	$64.176$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(1\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}+q^{5}+q^{7}+2q^{10}+\cdots\)
8037.2.a.f	$8037$	$2$	8037.a	1.a	$1$	$3$	$3$	$64.176$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
8037.2.a.h	$8037$	$2$	8037.a	1.a	$1$	$4$	$4$	$64.176$	4.4.1957.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(-5\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{2}+\beta _{3})q^{2}+(1+\beta _{1})q^{4}+(-1+\cdots)q^{5}+\cdots\)
8037.2.a.i	$8037$	$2$	8037.a	1.a	$1$	$6$	$6$	$64.176$	6.6.5476681.1	None	✓	$1$	$1$	\(-4\)	\(0\)	\(4\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{4})q^{2}+(1+\beta _{2}+2\beta _{4})q^{4}+\cdots\)
8037.2.a.j	$8037$	$2$	8037.a	1.a	$1$	$7$	$7$	$64.176$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-6\)	\(-3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{5})q^{5}+\cdots\)
8037.2.a.m	$8037$	$2$	8037.a	1.a	$1$	$12$	$12$	$64.176$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(7\)	\(-13\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1+\beta _{6})q^{5}+\cdots\)
8037.2.a.n	$8037$	$2$	8037.a	1.a	$1$	$16$	$16$	$64.176$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$1$	\(4\)	\(0\)	\(1\)	\(-9\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{9}q^{5}+(-2+\cdots)q^{7}+\cdots\)
8037.2.a.p	$8037$	$2$	8037.a	1.a	$1$	$23$	$23$	$64.176$		None	✓	$1$	$1$	\(-5\)	\(0\)	\(-12\)	\(-2\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
8037.2.a.s	$8037$	$2$	8037.a	1.a	$1$	$24$	$24$	$64.176$		None	✓	$1$	$1$	\(-6\)	\(0\)	\(-10\)	\(6\)		$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
8037.2.a.u	$8037$	$2$	8037.a	1.a	$1$	$34$	$34$	$64.176$		None	✓	$1$	$1$	\(-5\)	\(0\)	\(-14\)	\(0\)		$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
8037.2.a.v	$8037$	$2$	8037.a	1.a	$1$	$34$	$34$	$64.176$		None	✓	$1$	$1$	\(-5\)	\(0\)	\(-6\)	\(0\)		$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$