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

Results (15 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
3800.2.a.d	$3800$	$2$	3800.a	1.a	$1$	$1$	$1$	$30.343$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{7}-2q^{9}+2q^{11}-q^{13}+\cdots\)
3800.2.a.e	$3800$	$2$	3800.a	1.a	$1$	$1$	$1$	$30.343$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{9}-4q^{11}+6q^{13}+6q^{17}-q^{19}+\cdots\)
3800.2.a.g	$3800$	$2$	3800.a	1.a	$1$	$1$	$1$	$30.343$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-2q^{7}+q^{9}+4q^{11}-8q^{17}+\cdots\)
3800.2.a.h	$3800$	$2$	3800.a	1.a	$1$	$1$	$1$	$30.343$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{9}-4q^{11}-4q^{13}+2q^{17}+\cdots\)
3800.2.a.j	$3800$	$2$	3800.a	1.a	$1$	$2$	$2$	$30.343$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+(1-2\beta )q^{9}+2q^{11}+\cdots\)
3800.2.a.k	$3800$	$2$	3800.a	1.a	$1$	$2$	$2$	$30.343$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{3}+2\beta q^{7}+(3+2\beta )q^{9}+\cdots\)
3800.2.a.l	$3800$	$2$	3800.a	1.a	$1$	$2$	$2$	$30.343$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+(1-\beta )q^{7}-2\beta q^{9}+\cdots\)
3800.2.a.m	$3800$	$2$	3800.a	1.a	$1$	$2$	$2$	$30.343$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(-2+2\beta )q^{7}-q^{9}+(2-2\beta )q^{11}+\cdots\)
3800.2.a.n	$3800$	$2$	3800.a	1.a	$1$	$2$	$2$	$30.343$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+2\beta q^{7}-q^{9}+(2-2\beta )q^{11}+\cdots\)
3800.2.a.r	$3800$	$2$	3800.a	1.a	$1$	$3$	$3$	$30.343$	3.3.961.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-2+\beta _{1}-\beta _{2})q^{7}+(5-\beta _{1}+\cdots)q^{9}+\cdots\)
3800.2.a.s	$3800$	$2$	3800.a	1.a	$1$	$3$	$3$	$30.343$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(\beta _{1}-2\beta _{2})q^{7}+(-1+\beta _{2})q^{9}+\cdots\)
3800.2.a.t	$3800$	$2$	3800.a	1.a	$1$	$3$	$3$	$30.343$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-\beta _{1}+2\beta _{2})q^{7}+(-1+\beta _{2})q^{9}+\cdots\)
3800.2.a.u	$3800$	$2$	3800.a	1.a	$1$	$3$	$3$	$30.343$	3.3.257.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}-\beta _{2}q^{7}+(\beta _{1}-\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)
3800.2.a.v	$3800$	$2$	3800.a	1.a	$1$	$3$	$3$	$30.343$	3.3.257.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+\beta _{2}q^{7}+(\beta _{1}-\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)
3800.2.a.z	$3800$	$2$	3800.a	1.a	$1$	$6$	$6$	$30.343$	6.6.253565184.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-6\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1-\beta _{1}-\beta _{3})q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)