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

Results (16 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	7	19
3192.2.a.a	$3192$	$2$	3192.a	1.a	$1$	$1$	$1$	$25.488$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-4\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-4q^{5}-q^{7}+q^{9}-2q^{13}+4q^{15}+\cdots\)
3192.2.a.d	$3192$	$2$	3192.a	1.a	$1$	$1$	$1$	$25.488$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}+q^{7}+q^{9}-2q^{13}+2q^{15}+\cdots\)
3192.2.a.e	$3192$	$2$	3192.a	1.a	$1$	$1$	$1$	$25.488$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{7}+q^{9}-2q^{13}+q^{19}+q^{21}+\cdots\)
3192.2.a.f	$3192$	$2$	3192.a	1.a	$1$	$1$	$1$	$25.488$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
3192.2.a.g	$3192$	$2$	3192.a	1.a	$1$	$1$	$1$	$25.488$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots\)
3192.2.a.j	$3192$	$2$	3192.a	1.a	$1$	$1$	$1$	$25.488$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(2\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}-q^{7}+q^{9}+6q^{11}-2q^{13}+\cdots\)
3192.2.a.k	$3192$	$2$	3192.a	1.a	$1$	$1$	$1$	$25.488$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-4\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-4q^{5}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
3192.2.a.l	$3192$	$2$	3192.a	1.a	$1$	$1$	$1$	$25.488$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-4\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-4q^{5}+q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots\)
3192.2.a.m	$3192$	$2$	3192.a	1.a	$1$	$1$	$1$	$25.488$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-2\)	\(1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
3192.2.a.o	$3192$	$2$	3192.a	1.a	$1$	$1$	$1$	$25.488$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{7}+q^{9}-2q^{13}-8q^{17}+\cdots\)
3192.2.a.p	$3192$	$2$	3192.a	1.a	$1$	$1$	$1$	$25.488$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(2\)	\(-1\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}-q^{7}+q^{9}-6q^{11}-2q^{13}+\cdots\)
3192.2.a.q	$3192$	$2$	3192.a	1.a	$1$	$2$	$2$	$25.488$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(2\)	\(2\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+(-2+\cdots)q^{13}+\cdots\)
3192.2.a.r	$3192$	$2$	3192.a	1.a	$1$	$2$	$2$	$25.488$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-4\)	\(-2\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-2+\beta )q^{5}-q^{7}+q^{9}+2\beta q^{11}+\cdots\)
3192.2.a.s	$3192$	$2$	3192.a	1.a	$1$	$2$	$2$	$25.488$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-2\)	\(2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1+\beta )q^{5}+q^{7}+q^{9}-4q^{11}+\cdots\)
3192.2.a.v	$3192$	$2$	3192.a	1.a	$1$	$3$	$3$	$25.488$	3.3.316.1	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(-3\)		$-$	$-$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{7}+q^{9}+(-1+\beta _{1})q^{11}+\cdots\)
3192.2.a.x	$3192$	$2$	3192.a	1.a	$1$	$4$	$4$	$25.488$	4.4.9248.1	None	✓	$1$	$1$	\(0\)	\(-4\)	\(0\)	\(-4\)		$+$	$+$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta _{1}q^{5}-q^{7}+q^{9}+(-\beta _{1}+\beta _{2}+\cdots)q^{11}+\cdots\)