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

Results (8 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	11
605.6.a.c	$605$	$6$	605.a	1.a	$1$	$4$	$4$	$97.032$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(5\)	\(0\)	\(-100\)	\(90\)		$+$	$-$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{2}+(\beta _{1}-\beta _{3})q^{3}+(15+\beta _{1}+\cdots)q^{4}+\cdots\)
605.6.a.e	$605$	$6$	605.a	1.a	$1$	$6$	$6$	$97.032$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(-3\)	\(0\)	\(-150\)	\(66\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(-\beta _{1}-\beta _{3})q^{3}+(20+\cdots)q^{4}+\cdots\)
605.6.a.i	$605$	$6$	605.a	1.a	$1$	$9$	$9$	$97.032$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(9\)	\(-225\)	\(71\)		$+$	$-$	$-$	$2^{5}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1-\beta _{1}-\beta _{3})q^{3}+(14-\beta _{1}+\cdots)q^{4}+\cdots\)
605.6.a.j	$605$	$6$	605.a	1.a	$1$	$9$	$9$	$97.032$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(9\)	\(-225\)	\(-71\)		$+$	$-$	$-$	$2^{5}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1-\beta _{1}-\beta _{3})q^{3}+(14-\beta _{1}+\cdots)q^{4}+\cdots\)
605.6.a.k	$605$	$6$	605.a	1.a	$1$	$10$	$10$	$97.032$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(36\)	\(250\)	\(0\)		$-$	$+$	$-$	$2^{7}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(4-\beta _{2})q^{3}+(3^{3}+\beta _{2}+\beta _{4}+\cdots)q^{4}+\cdots\)
605.6.a.m	$605$	$6$	605.a	1.a	$1$	$18$	$18$	$97.032$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(54\)	\(450\)	\(0\)		$-$	$+$	$-$	$2^{13}\cdot 3\cdot 11^{6}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(3-\beta _{3})q^{3}+(21+\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots\)
605.6.a.o	$605$	$6$	605.a	1.a	$1$	$20$	$20$	$97.032$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-500\)	\(167\)		$+$	$-$	$-$	$2^{4}\cdot 11^{8}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{4}q^{3}+(20+\beta _{2})q^{4}-5^{2}q^{5}+\cdots\)
605.6.a.q	$605$	$6$	605.a	1.a	$1$	$20$	$20$	$97.032$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$0$	\(17\)	\(22\)	\(500\)	\(559\)		$-$	$+$	$-$	$2^{4}\cdot 5\cdot 11^{8}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-\beta _{3})q^{3}+(13-\beta _{1}+\cdots)q^{4}+\cdots\)