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

Results (10 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	11	13
5148.2.a.c	$5148$	$2$	5148.a	1.a	$1$	$1$	$1$	$41.107$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}+q^{11}+q^{13}+2q^{17}+6q^{19}+\cdots\)
5148.2.a.d	$5148$	$2$	5148.a	1.a	$1$	$1$	$1$	$41.107$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}+q^{11}+q^{13}-6q^{17}+2q^{19}+\cdots\)
5148.2.a.f	$5148$	$2$	5148.a	1.a	$1$	$1$	$1$	$41.107$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-q^{11}+q^{13}-6q^{17}-4q^{23}+\cdots\)
5148.2.a.h	$5148$	$2$	5148.a	1.a	$1$	$2$	$2$	$41.107$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-3\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{7}+q^{11}+q^{13}+2\beta q^{17}+\cdots\)
5148.2.a.i	$5148$	$2$	5148.a	1.a	$1$	$2$	$2$	$41.107$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{5}-q^{11}-q^{13}+(1-3\beta )q^{17}+\cdots\)
5148.2.a.l	$5148$	$2$	5148.a	1.a	$1$	$3$	$3$	$41.107$	3.3.404.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(-4\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-2\beta _{1}+\beta _{2})q^{5}+(-2+\beta _{1}+\cdots)q^{7}+\cdots\)
5148.2.a.m	$5148$	$2$	5148.a	1.a	$1$	$3$	$3$	$41.107$	3.3.564.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(4\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{5}+(1-\beta _{2})q^{7}-q^{11}+\cdots\)
5148.2.a.o	$5148$	$2$	5148.a	1.a	$1$	$3$	$3$	$41.107$	3.3.229.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-7\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{2})q^{5}+(-2-2\beta _{1}+\beta _{2})q^{7}+\cdots\)
5148.2.a.p	$5148$	$2$	5148.a	1.a	$1$	$4$	$4$	$41.107$	4.4.82128.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(2\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{5}+(1-\beta _{1}+\beta _{2})q^{7}+\cdots\)
5148.2.a.s	$5148$	$2$	5148.a	1.a	$1$	$5$	$5$	$41.107$	5.5.815952.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-2\)		$-$	$+$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{4}q^{5}+\beta _{3}q^{7}+q^{11}-q^{13}+(-\beta _{1}+\cdots)q^{17}+\cdots\)