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

Results (10 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	7	13
546.8.a.a	$546$	$8$	546.a	1.a	$1$	$1$	$1$	$170.562$	\(\Q\)	None	✓	$1$	$1$	\(8\)	\(-27\)	\(-135\)	\(343\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}-135q^{5}+\cdots\)
546.8.a.c	$546$	$8$	546.a	1.a	$1$	$1$	$1$	$170.562$	\(\Q\)	None	✓	$1$	$1$	\(8\)	\(27\)	\(-10\)	\(-343\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+8q^{2}+3^{3}q^{3}+2^{6}q^{4}-10q^{5}+6^{3}q^{6}+\cdots\)
546.8.a.d	$546$	$8$	546.a	1.a	$1$	$3$	$3$	$170.562$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(24\)	\(-81\)	\(351\)	\(1029\)		$-$	$+$	$-$	$-$	$-$	$2^{2}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(117+\beta _{1}+\cdots)q^{5}+\cdots\)
546.8.a.e	$546$	$8$	546.a	1.a	$1$	$3$	$3$	$170.562$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(24\)	\(81\)	\(-378\)	\(-1029\)		$-$	$-$	$+$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q+8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(-126+\beta _{2})q^{5}+\cdots\)
546.8.a.f	$546$	$8$	546.a	1.a	$1$	$4$	$4$	$170.562$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(-32\)	\(-108\)	\(-134\)	\(1372\)		$+$	$+$	$-$	$+$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(-34-2\beta _{2}+\cdots)q^{5}+\cdots\)
546.8.a.g	$546$	$8$	546.a	1.a	$1$	$4$	$4$	$170.562$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(32\)	\(108\)	\(-328\)	\(1372\)		$-$	$-$	$-$	$+$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(-82+\beta _{2}+\cdots)q^{5}+\cdots\)
546.8.a.h	$546$	$8$	546.a	1.a	$1$	$5$	$5$	$170.562$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-40\)	\(-135\)	\(168\)	\(-1715\)		$+$	$+$	$+$	$-$	$-$	$2^{2}\cdot 3^{3}$	$\mathrm{SU}(2)$	\(q-8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(34-\beta _{1}+\cdots)q^{5}+\cdots\)
546.8.a.i	$546$	$8$	546.a	1.a	$1$	$5$	$5$	$170.562$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-40\)	\(135\)	\(-340\)	\(1715\)		$+$	$-$	$-$	$-$	$-$	$2^{2}\cdot 3^{2}\cdot 5\cdot 13$	$\mathrm{SU}(2)$	\(q-8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(-68-\beta _{1}+\cdots)q^{5}+\cdots\)
546.8.a.j	$546$	$8$	546.a	1.a	$1$	$5$	$5$	$170.562$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-40\)	\(135\)	\(56\)	\(-1715\)		$+$	$-$	$+$	$+$	$-$	$2^{2}\cdot 3^{3}$	$\mathrm{SU}(2)$	\(q-8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(11-\beta _{2}+\cdots)q^{5}+\cdots\)
546.8.a.l	$546$	$8$	546.a	1.a	$1$	$5$	$5$	$170.562$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(40\)	\(-135\)	\(-250\)	\(-1715\)		$-$	$+$	$+$	$+$	$-$	$2^{2}\cdot 3^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(-50+\beta _{1}+\cdots)q^{5}+\cdots\)