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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	13
5265.2.a.b	$5265$	$2$	5265.a	1.a	$1$	$1$	$1$	$42.041$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-1\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}-q^{5}+2q^{10}+5q^{11}+\cdots\)
5265.2.a.c	$5265$	$2$	5265.a	1.a	$1$	$1$	$1$	$42.041$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(0\)	\(1\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+q^{5}-4q^{7}-2q^{10}+\cdots\)
5265.2.a.h	$5265$	$2$	5265.a	1.a	$1$	$1$	$1$	$42.041$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-q^{5}+2q^{7}+3q^{11}+q^{13}+\cdots\)
5265.2.a.k	$5265$	$2$	5265.a	1.a	$1$	$1$	$1$	$42.041$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-1\)	\(3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-q^{5}+3q^{7}-3q^{8}-q^{10}+\cdots\)
5265.2.a.r	$5265$	$2$	5265.a	1.a	$1$	$2$	$2$	$42.041$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-q^{5}+\beta q^{7}-3q^{8}-q^{10}+\cdots\)
5265.2.a.t	$5265$	$2$	5265.a	1.a	$1$	$3$	$3$	$42.041$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$0$	\(3\)	\(0\)	\(-3\)	\(-3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots\)
5265.2.a.u	$5265$	$2$	5265.a	1.a	$1$	$4$	$4$	$42.041$	4.4.16609.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(-6\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}-q^{5}+(-2-\beta _{2}+\cdots)q^{7}+\cdots\)
5265.2.a.x	$5265$	$2$	5265.a	1.a	$1$	$6$	$6$	$42.041$	6.6.585163476.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(6\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+q^{5}+(1+\cdots)q^{7}+\cdots\)
5265.2.a.z	$5265$	$2$	5265.a	1.a	$1$	$7$	$7$	$42.041$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(7\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(-1+\beta _{4}+\cdots)q^{7}+\cdots\)
5265.2.a.bc	$5265$	$2$	5265.a	1.a	$1$	$8$	$8$	$42.041$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-8\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(1+\beta _{3}+\cdots)q^{7}+\cdots\)
5265.2.a.bg	$5265$	$2$	5265.a	1.a	$1$	$13$	$13$	$42.041$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(13\)	\(10\)		$+$	$-$	$+$	$-$	$3^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(1-\beta _{5}+\cdots)q^{7}+\cdots\)
5265.2.a.bh	$5265$	$2$	5265.a	1.a	$1$	$13$	$13$	$42.041$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-13\)	\(10\)		$-$	$+$	$+$	$-$	$3^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(1-\beta _{5}+\cdots)q^{7}+\cdots\)
5265.2.a.bj	$5265$	$2$	5265.a	1.a	$1$	$14$	$14$	$42.041$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(14\)	\(4\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}-\beta _{3}q^{7}+\cdots\)
5265.2.a.bk	$5265$	$2$	5265.a	1.a	$1$	$15$	$15$	$42.041$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-15\)	\(10\)		$+$	$+$	$-$	$-$	$2^{2}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(1-\beta _{6}+\cdots)q^{7}+\cdots\)
5265.2.a.bl	$5265$	$2$	5265.a	1.a	$1$	$15$	$15$	$42.041$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(15\)	\(10\)		$-$	$-$	$-$	$-$	$2^{2}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(1-\beta _{6}+\cdots)q^{7}+\cdots\)