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

Results (13 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	5	7	23
9660.2.a.a	$9660$	$2$	9660.a	1.a	$1$	$1$	$1$	$77.135$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-1\)	\(-1\)		$-$	$+$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-q^{7}+q^{9}-2q^{11}+q^{15}+\cdots\)
9660.2.a.c	$9660$	$2$	9660.a	1.a	$1$	$1$	$1$	$77.135$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(1\)		$-$	$+$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+q^{7}+q^{9}-q^{11}+4q^{13}+\cdots\)
9660.2.a.f	$9660$	$2$	9660.a	1.a	$1$	$1$	$1$	$77.135$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(1\)	\(-1\)		$-$	$-$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-q^{7}+q^{9}-5q^{11}+4q^{13}+\cdots\)
9660.2.a.g	$9660$	$2$	9660.a	1.a	$1$	$2$	$2$	$77.135$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-2\)	\(-2\)		$-$	$+$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-q^{7}+q^{9}+\beta q^{11}+(1+\cdots)q^{13}+\cdots\)
9660.2.a.k	$9660$	$2$	9660.a	1.a	$1$	$2$	$2$	$77.135$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(2\)	\(-2\)		$-$	$-$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-q^{7}+q^{9}+(3-\beta )q^{11}+\cdots\)
9660.2.a.n	$9660$	$2$	9660.a	1.a	$1$	$3$	$3$	$77.135$	3.3.1101.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(-3\)	\(3\)		$-$	$-$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{7}+q^{9}+(-2-\beta _{1}+\cdots)q^{11}+\cdots\)
9660.2.a.o	$9660$	$2$	9660.a	1.a	$1$	$3$	$3$	$77.135$	3.3.564.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(-3\)	\(3\)		$-$	$-$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{7}+q^{9}+(2-\beta _{1}-\beta _{2})q^{11}+\cdots\)
9660.2.a.p	$9660$	$2$	9660.a	1.a	$1$	$3$	$3$	$77.135$	3.3.3252.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(3\)	\(-3\)		$-$	$-$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-q^{7}+q^{9}+(1+\beta _{1})q^{11}+\cdots\)
9660.2.a.q	$9660$	$2$	9660.a	1.a	$1$	$4$	$4$	$77.135$	4.4.118732.1	None	✓	$1$	$0$	\(0\)	\(-4\)	\(4\)	\(4\)		$-$	$+$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+q^{7}+q^{9}+(2+\beta _{1})q^{11}+\cdots\)
9660.2.a.r	$9660$	$2$	9660.a	1.a	$1$	$5$	$5$	$77.135$	5.5.746052.1	None	✓	$1$	$0$	\(0\)	\(-5\)	\(-5\)	\(5\)		$-$	$+$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+q^{7}+q^{9}+(1-\beta _{3}+\beta _{4})q^{11}+\cdots\)
9660.2.a.s	$9660$	$2$	9660.a	1.a	$1$	$5$	$5$	$77.135$	5.5.10241256.1	None	✓	$1$	$0$	\(0\)	\(-5\)	\(5\)	\(-5\)		$-$	$+$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-q^{7}+q^{9}+(1-\beta _{4})q^{11}+\cdots\)
9660.2.a.v	$9660$	$2$	9660.a	1.a	$1$	$6$	$6$	$77.135$	6.6.914299812.1	None	✓	$1$	$0$	\(0\)	\(6\)	\(-6\)	\(-6\)		$-$	$-$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}-q^{7}+q^{9}+\beta _{2}q^{11}+(1+\cdots)q^{13}+\cdots\)
9660.2.a.z	$9660$	$2$	9660.a	1.a	$1$	$8$	$8$	$77.135$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(8\)	\(8\)	\(8\)		$-$	$-$	$-$	$-$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+q^{7}+q^{9}+(1+\beta _{4})q^{11}+\cdots\)