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

Results (17 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
882.4.a.a	$882$	$4$	882.a	1.a	$1$	$1$	$1$	$52.040$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-22\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}-22q^{5}-8q^{8}+44q^{10}+\cdots\)
882.4.a.e	$882$	$4$	882.a	1.a	$1$	$1$	$1$	$52.040$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(6\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+6q^{5}-8q^{8}-12q^{10}+\cdots\)
882.4.a.f	$882$	$4$	882.a	1.a	$1$	$1$	$1$	$52.040$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(9\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+9q^{5}-8q^{8}-18q^{10}+\cdots\)
882.4.a.h	$882$	$4$	882.a	1.a	$1$	$1$	$1$	$52.040$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-15\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}-15q^{5}+8q^{8}-30q^{10}+\cdots\)
882.4.a.i	$882$	$4$	882.a	1.a	$1$	$1$	$1$	$52.040$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-14\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}-14q^{5}+8q^{8}-28q^{10}+\cdots\)
882.4.a.j	$882$	$4$	882.a	1.a	$1$	$1$	$1$	$52.040$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-8\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}-8q^{5}+8q^{8}-2^{4}q^{10}+\cdots\)
882.4.a.l	$882$	$4$	882.a	1.a	$1$	$1$	$1$	$52.040$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-6\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}-6q^{5}+8q^{8}-12q^{10}+\cdots\)
882.4.a.n	$882$	$4$	882.a	1.a	$1$	$1$	$1$	$52.040$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(6\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+6q^{5}+8q^{8}+12q^{10}+\cdots\)
882.4.a.p	$882$	$4$	882.a	1.a	$1$	$1$	$1$	$52.040$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(7\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+7q^{5}+8q^{8}+14q^{10}+\cdots\)
882.4.a.q	$882$	$4$	882.a	1.a	$1$	$1$	$1$	$52.040$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(8\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+8q^{5}+8q^{8}+2^{4}q^{10}+\cdots\)
882.4.a.t	$882$	$4$	882.a	1.a	$1$	$2$	$2$	$52.040$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-12\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(-6+\beta )q^{5}-8q^{8}+\cdots\)
882.4.a.u	$882$	$4$	882.a	1.a	$1$	$2$	$2$	$52.040$	\(\Q(\sqrt{193}) \)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-7\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(-3-\beta )q^{5}-8q^{8}+\cdots\)
882.4.a.v	$882$	$4$	882.a	1.a	$1$	$2$	$2$	$52.040$	\(\Q(\sqrt{1345}) \)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-5\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(-2-\beta )q^{5}-8q^{8}+\cdots\)
882.4.a.x	$882$	$4$	882.a	1.a	$1$	$2$	$2$	$52.040$	\(\Q(\sqrt{58}) \)	None	✓	$2$	$1$	\(-4\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+\beta q^{5}-8q^{8}-2\beta q^{10}+\cdots\)
882.4.a.bb	$882$	$4$	882.a	1.a	$1$	$2$	$2$	$52.040$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(12\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(6+\beta )q^{5}-8q^{8}+(-12+\cdots)q^{10}+\cdots\)
882.4.a.bd	$882$	$4$	882.a	1.a	$1$	$2$	$2$	$52.040$	\(\Q(\sqrt{193}) \)	None	✓	$1$	$1$	\(4\)	\(0\)	\(-7\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(-3-\beta )q^{5}+8q^{8}+\cdots\)
882.4.a.be	$882$	$4$	882.a	1.a	$1$	$2$	$2$	$52.040$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(4\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+5\beta q^{5}+8q^{8}+10\beta q^{10}+\cdots\)