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

Results (8 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5
225.4.a.a	$225$	$4$	225.a	1.a	$1$	$1$	$1$	$13.275$	\(\Q\)	None	✓	$1$	$0$	\(-5\)	\(0\)	\(0\)	\(30\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{2}+17q^{4}+30q^{7}-45q^{8}+50q^{11}+\cdots\)
225.4.a.d	$225$	$4$	225.a	1.a	$1$	$1$	$1$	$13.275$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-20\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-8q^{4}-20q^{7}+70q^{13}+2^{6}q^{16}+\cdots\)
225.4.a.e	$225$	$4$	225.a	1.a	$1$	$1$	$1$	$13.275$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-6\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-7q^{4}-6q^{7}-15q^{8}+43q^{11}+\cdots\)
225.4.a.h	$225$	$4$	225.a	1.a	$1$	$1$	$1$	$13.275$	\(\Q\)	None	✓	$1$	$0$	\(5\)	\(0\)	\(0\)	\(30\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{2}+17q^{4}+30q^{7}+45q^{8}-50q^{11}+\cdots\)
225.4.a.i	$225$	$4$	225.a	1.a	$1$	$2$	$2$	$13.275$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$0$	\(-3\)	\(0\)	\(0\)	\(6\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+(3+3\beta )q^{4}+(6-6\beta )q^{7}+\cdots\)
225.4.a.m	$225$	$4$	225.a	1.a	$1$	$2$	$2$	$13.275$	\(\Q(\sqrt{10}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(30\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+2q^{4}+15q^{7}-6\beta q^{8}+20\beta q^{11}+\cdots\)
225.4.a.n	$225$	$4$	225.a	1.a	$1$	$2$	$2$	$13.275$	\(\Q(\sqrt{19}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(26\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(12+2\beta )q^{4}+(13-4\beta )q^{7}+\cdots\)
225.4.a.o	$225$	$4$	225.a	1.a	$1$	$2$	$2$	$13.275$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$0$	\(3\)	\(0\)	\(0\)	\(-6\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(3+3\beta )q^{4}+(-6+6\beta )q^{7}+\cdots\)