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

Results (7 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	23	29
2001.2.a.c	$2001$	$2$	2001.a	1.a	$1$	$1$	$1$	$15.978$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}+q^{9}-4q^{11}-2q^{12}+\cdots\)
2001.2.a.e	$2001$	$2$	2001.a	1.a	$1$	$2$	$2$	$15.978$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-\beta q^{5}+(-2+\beta )q^{7}+\cdots\)
2001.2.a.g	$2001$	$2$	2001.a	1.a	$1$	$4$	$4$	$15.978$	4.4.5744.1	None	✓	$1$	$1$	\(0\)	\(-4\)	\(-2\)	\(-2\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}-\beta _{1}q^{5}+(-1-\beta _{2}+\beta _{3})q^{7}+\cdots\)
2001.2.a.h	$2001$	$2$	2001.a	1.a	$1$	$5$	$5$	$15.978$	5.5.312617.1	None	✓	$1$	$1$	\(-2\)	\(-5\)	\(-3\)	\(-5\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{2}-q^{3}+(2-\beta _{1})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
2001.2.a.i	$2001$	$2$	2001.a	1.a	$1$	$7$	$7$	$15.978$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(7\)	\(-3\)	\(-5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}-\beta _{4}q^{5}+\cdots\)
2001.2.a.j	$2001$	$2$	2001.a	1.a	$1$	$7$	$7$	$15.978$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(7\)	\(-5\)	\(-5\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{2}+q^{3}+(1+\beta _{4}+\beta _{5})q^{4}+(-1+\cdots)q^{5}+\cdots\)
2001.2.a.m	$2001$	$2$	2001.a	1.a	$1$	$14$	$14$	$15.978$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(-2\)	\(-14\)	\(-3\)	\(-3\)		$+$	$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{11}q^{5}+\cdots\)