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

Results (13 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	5	19
3040.2.a.a	$3040$	$2$	3040.a	1.a	$1$	$1$	$1$	$24.275$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+3q^{7}-2q^{9}+5q^{13}+\cdots\)
3040.2.a.c	$3040$	$2$	3040.a	1.a	$1$	$1$	$1$	$24.275$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+2q^{7}-3q^{9}-4q^{11}-4q^{13}+\cdots\)
3040.2.a.f	$3040$	$2$	3040.a	1.a	$1$	$2$	$2$	$24.275$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{5}-\beta q^{7}-3q^{9}-4q^{11}+(2+\beta )q^{13}+\cdots\)
3040.2.a.g	$3040$	$2$	3040.a	1.a	$1$	$2$	$2$	$24.275$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{5}+\beta q^{7}-3q^{9}+4q^{11}+(2+\beta )q^{13}+\cdots\)
3040.2.a.h	$3040$	$2$	3040.a	1.a	$1$	$2$	$2$	$24.275$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-2\)	\(-5\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-q^{5}+(-2-\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
3040.2.a.k	$3040$	$2$	3040.a	1.a	$1$	$3$	$3$	$24.275$	3.3.564.1	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-3\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}-q^{5}+(1-\beta _{2})q^{7}+\cdots\)
3040.2.a.n	$3040$	$2$	3040.a	1.a	$1$	$3$	$3$	$24.275$	3.3.564.1	None	✓	$1$	$0$	\(0\)	\(2\)	\(-3\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}-q^{5}+(-1+\beta _{2})q^{7}+\cdots\)
3040.2.a.o	$3040$	$2$	3040.a	1.a	$1$	$3$	$3$	$24.275$	3.3.148.1	None	✓	$1$	$0$	\(0\)	\(4\)	\(-3\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{3}-q^{5}+(1+\beta _{1}-\beta _{2})q^{7}+\cdots\)
3040.2.a.p	$3040$	$2$	3040.a	1.a	$1$	$3$	$3$	$24.275$	3.3.148.1	None	✓	$1$	$0$	\(0\)	\(4\)	\(3\)	\(-2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{3}+q^{5}+(-1+\beta _{1}-\beta _{2})q^{7}+\cdots\)
3040.2.a.q	$3040$	$2$	3040.a	1.a	$1$	$4$	$4$	$24.275$	4.4.78292.1	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-4\)	\(5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}+(1+\beta _{2})q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
3040.2.a.t	$3040$	$2$	3040.a	1.a	$1$	$4$	$4$	$24.275$	4.4.17428.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(4\)	\(5\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+q^{5}+(1+\beta _{2})q^{7}+\beta _{2}q^{9}+\cdots\)
3040.2.a.v	$3040$	$2$	3040.a	1.a	$1$	$5$	$5$	$24.275$	5.5.2363492.1	None	✓	$1$	$0$	\(0\)	\(-2\)	\(5\)	\(2\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+q^{5}+\beta _{2}q^{7}+(4-\beta _{3})q^{9}+\cdots\)
3040.2.a.w	$3040$	$2$	3040.a	1.a	$1$	$5$	$5$	$24.275$	5.5.2363492.1	None	✓	$1$	$0$	\(0\)	\(2\)	\(5\)	\(-2\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+q^{5}-\beta _{2}q^{7}+(4-\beta _{3})q^{9}+\cdots\)