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

Results (14 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	19
912.6.a.a	$912$	$6$	912.a	1.a	$1$	$1$	$1$	$146.270$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-9\)	\(-98\)	\(-240\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-9q^{3}-98q^{5}-240q^{7}+3^{4}q^{9}+\cdots\)
912.6.a.b	$912$	$6$	912.a	1.a	$1$	$1$	$1$	$146.270$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-9\)	\(-91\)	\(33\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-9q^{3}-91q^{5}+33q^{7}+3^{4}q^{9}+91q^{11}+\cdots\)
912.6.a.d	$912$	$6$	912.a	1.a	$1$	$1$	$1$	$146.270$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-9\)	\(6\)	\(176\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-9q^{3}+6q^{5}+176q^{7}+3^{4}q^{9}+496q^{11}+\cdots\)
912.6.a.f	$912$	$6$	912.a	1.a	$1$	$1$	$1$	$146.270$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(9\)	\(21\)	\(143\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+9q^{3}+21q^{5}+143q^{7}+3^{4}q^{9}+\cdots\)
912.6.a.h	$912$	$6$	912.a	1.a	$1$	$2$	$2$	$146.270$	\(\Q(\sqrt{4089}) \)	None	✓	$1$	$1$	\(0\)	\(-18\)	\(-49\)	\(105\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-9q^{3}+(-24-\beta )q^{5}+(50+5\beta )q^{7}+\cdots\)
912.6.a.k	$912$	$6$	912.a	1.a	$1$	$3$	$3$	$146.270$	3.3.286833.1	None	✓	$1$	$1$	\(0\)	\(-27\)	\(-5\)	\(33\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-9q^{3}+(-2-2\beta _{1}-\beta _{2})q^{5}+(13+\cdots)q^{7}+\cdots\)
912.6.a.m	$912$	$6$	912.a	1.a	$1$	$3$	$3$	$146.270$	3.3.616092.1	None	✓	$1$	$1$	\(0\)	\(-27\)	\(206\)	\(-186\)		$-$	$+$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-9q^{3}+(69+\beta _{1})q^{5}+(-61+\beta _{1}+\cdots)q^{7}+\cdots\)
912.6.a.n	$912$	$6$	912.a	1.a	$1$	$3$	$3$	$146.270$	3.3.9153.1	None	✓	$1$	$1$	\(0\)	\(27\)	\(-9\)	\(-141\)		$-$	$-$	$+$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+9q^{3}+(-3-3\beta _{1}-2\beta _{2})q^{5}+(-47+\cdots)q^{7}+\cdots\)
912.6.a.o	$912$	$6$	912.a	1.a	$1$	$3$	$3$	$146.270$	3.3.2922585.1	None	✓	$1$	$1$	\(0\)	\(27\)	\(63\)	\(-125\)		$-$	$-$	$+$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+9q^{3}+(21+\beta _{1}-\beta _{2})q^{5}+(-40+\cdots)q^{7}+\cdots\)
912.6.a.p	$912$	$6$	912.a	1.a	$1$	$4$	$4$	$146.270$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(36\)	\(-84\)	\(-54\)		$-$	$-$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+9q^{3}+(-21+\beta _{2})q^{5}+(-13-\beta _{1}+\cdots)q^{7}+\cdots\)
912.6.a.q	$912$	$6$	912.a	1.a	$1$	$4$	$4$	$146.270$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(36\)	\(-20\)	\(-70\)		$+$	$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+9q^{3}+(-5+\beta _{2})q^{5}+(-19+4\beta _{1}+\cdots)q^{7}+\cdots\)
912.6.a.t	$912$	$6$	912.a	1.a	$1$	$5$	$5$	$146.270$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-45\)	\(-59\)	\(149\)		$+$	$+$	$+$	$+$	$2^{6}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q-9q^{3}+(-12-\beta _{1})q^{5}+(30-\beta _{1}+\cdots)q^{7}+\cdots\)
912.6.a.x	$912$	$6$	912.a	1.a	$1$	$5$	$5$	$146.270$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(45\)	\(-90\)	\(2\)		$+$	$-$	$-$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+9q^{3}+(-18+\beta _{2}-\beta _{3})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
912.6.a.z	$912$	$6$	912.a	1.a	$1$	$7$	$7$	$146.270$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-63\)	\(-29\)	\(-119\)		$+$	$+$	$+$	$+$	$2^{10}$	$\mathrm{SU}(2)$	\(q-9q^{3}+(-4-\beta _{1})q^{5}+(-17+\beta _{3}+\cdots)q^{7}+\cdots\)