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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	5	19
3420.2.a.a	$3420$	$2$	3420.a	1.a	$1$	$1$	$1$	$27.309$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-4\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-4q^{7}-2q^{11}+6q^{13}+2q^{17}+\cdots\)
3420.2.a.b	$3420$	$2$	3420.a	1.a	$1$	$1$	$1$	$27.309$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-2q^{7}-4q^{11}+2q^{17}+q^{19}+\cdots\)
3420.2.a.d	$3420$	$2$	3420.a	1.a	$1$	$1$	$1$	$27.309$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-2q^{7}+4q^{11}-4q^{13}-6q^{17}+\cdots\)
3420.2.a.e	$3420$	$2$	3420.a	1.a	$1$	$1$	$1$	$27.309$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+2q^{7}-4q^{13}-6q^{17}+q^{19}+\cdots\)
3420.2.a.g	$3420$	$2$	3420.a	1.a	$1$	$2$	$2$	$27.309$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-4\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(-2+2\beta )q^{7}+2q^{11}+(-2+\cdots)q^{13}+\cdots\)
3420.2.a.l	$3420$	$2$	3420.a	1.a	$1$	$3$	$3$	$27.309$	3.3.564.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(2\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(\beta _{1}-\beta _{2})q^{7}+(-1-\beta _{1})q^{11}+\cdots\)
3420.2.a.m	$3420$	$2$	3420.a	1.a	$1$	$3$	$3$	$27.309$	3.3.564.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(4\)		$-$	$-$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{5}+(1-\beta _{2})q^{7}+(-2-\beta _{1}+\beta _{2})q^{11}+\cdots\)
3420.2.a.n	$3420$	$2$	3420.a	1.a	$1$	$3$	$3$	$27.309$	3.3.404.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(-2\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(-1+\beta _{2})q^{7}+(-1+\beta _{1}-2\beta _{2})q^{11}+\cdots\)