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

Results (24 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	11	17
6171.2.a.a	$6171$	$2$	6171.a	1.a	$1$	$1$	$1$	$49.276$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(1\)	\(2\)	\(-3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+q^{3}+2q^{4}+2q^{5}-2q^{6}+\cdots\)
6171.2.a.b	$6171$	$2$	6171.a	1.a	$1$	$1$	$1$	$49.276$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}-q^{6}+2q^{7}+3q^{8}+\cdots\)
6171.2.a.c	$6171$	$2$	6171.a	1.a	$1$	$1$	$1$	$49.276$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}-2q^{5}+3q^{7}+q^{9}+2q^{12}+\cdots\)
6171.2.a.g	$6171$	$2$	6171.a	1.a	$1$	$1$	$1$	$49.276$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(1\)	\(2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}+2q^{5}+q^{6}-3q^{8}+\cdots\)
6171.2.a.j	$6171$	$2$	6171.a	1.a	$1$	$2$	$2$	$49.276$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(-6\)	\(-4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}-3q^{5}+\cdots\)
6171.2.a.k	$6171$	$2$	6171.a	1.a	$1$	$2$	$2$	$49.276$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(4\)	\(-1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(2+\beta )q^{4}+2q^{5}+\beta q^{6}+\cdots\)
6171.2.a.l	$6171$	$2$	6171.a	1.a	$1$	$2$	$2$	$49.276$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(1\)	\(-4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-2\beta )q^{2}-q^{3}+3q^{4}+(1-\beta )q^{5}+\cdots\)
6171.2.a.m	$6171$	$2$	6171.a	1.a	$1$	$2$	$2$	$49.276$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(1\)	\(4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-2\beta )q^{2}-q^{3}+3q^{4}+\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
6171.2.a.n	$6171$	$2$	6171.a	1.a	$1$	$2$	$2$	$49.276$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-4\)	\(6\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+(-2+\beta )q^{5}+\beta q^{6}+\cdots\)
6171.2.a.o	$6171$	$2$	6171.a	1.a	$1$	$2$	$2$	$49.276$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(1\)	\(-2\)	\(-6\)	\(4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-3q^{5}+\cdots\)
6171.2.a.s	$6171$	$2$	6171.a	1.a	$1$	$3$	$3$	$49.276$	3.3.148.1	None	✓	$1$	$1$	\(2\)	\(-3\)	\(-2\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}-q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots\)
6171.2.a.t	$6171$	$2$	6171.a	1.a	$1$	$4$	$4$	$49.276$	4.4.22676.1	None	✓	$1$	$1$	\(-1\)	\(4\)	\(-4\)	\(-9\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{3})q^{5}+\cdots\)
6171.2.a.u	$6171$	$2$	6171.a	1.a	$1$	$5$	$5$	$49.276$	5.5.749264.1	None	✓	$1$	$1$	\(-2\)	\(5\)	\(0\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots\)
6171.2.a.y	$6171$	$2$	6171.a	1.a	$1$	$6$	$6$	$49.276$	6.6.4642000.1	None	✓	$1$	$1$	\(-1\)	\(6\)	\(-2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2}+\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
6171.2.a.z	$6171$	$2$	6171.a	1.a	$1$	$6$	$6$	$49.276$	6.6.29995216.1	None	✓	$1$	$1$	\(1\)	\(-6\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{3}-\beta _{4})q^{4}-\beta _{3}q^{5}+\cdots\)
6171.2.a.ba	$6171$	$2$	6171.a	1.a	$1$	$6$	$6$	$49.276$	6.6.46051664.1	None	✓	$1$	$1$	\(1\)	\(-6\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
6171.2.a.bd	$6171$	$2$	6171.a	1.a	$1$	$7$	$7$	$49.276$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(7\)	\(0\)	\(-3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}-\beta _{4}q^{5}+\cdots\)
6171.2.a.bf	$6171$	$2$	6171.a	1.a	$1$	$8$	$8$	$49.276$	8.8.\(\cdots\).1	None	✓	$1$	$1$	\(-4\)	\(-8\)	\(-5\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{2}-q^{3}+(-1+\beta _{3}-\beta _{5})q^{4}+\cdots\)
6171.2.a.bh	$6171$	$2$	6171.a	1.a	$1$	$8$	$8$	$49.276$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(-8\)	\(0\)	\(-3\)		$+$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{5}q^{5}+\cdots\)
6171.2.a.bi	$6171$	$2$	6171.a	1.a	$1$	$8$	$8$	$49.276$	8.8.\(\cdots\).1	None	✓	$1$	$1$	\(4\)	\(-8\)	\(-5\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{2}-q^{3}+(-1+\beta _{3}-\beta _{5})q^{4}+\cdots\)
6171.2.a.bj	$6171$	$2$	6171.a	1.a	$1$	$12$	$12$	$49.276$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-6\)	\(12\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
6171.2.a.bk	$6171$	$2$	6171.a	1.a	$1$	$12$	$12$	$49.276$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(12\)	\(-14\)	\(-5\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{3}+\beta _{7}+\beta _{9}+\cdots)q^{4}+\cdots\)
6171.2.a.bl	$6171$	$2$	6171.a	1.a	$1$	$12$	$12$	$49.276$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(12\)	\(-14\)	\(5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{3}+\beta _{7}+\beta _{9}+\cdots)q^{4}+\cdots\)
6171.2.a.bo	$6171$	$2$	6171.a	1.a	$1$	$14$	$14$	$49.276$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(2\)	\(-14\)	\(0\)	\(-6\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{5}q^{5}+\cdots\)