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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
1875.2.a.a	$1875$	$2$	1875.a	1.a	$1$	$2$	$2$	$14.972$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}+q^{6}+(2-4\beta )q^{7}+\cdots\)
1875.2.a.b	$1875$	$2$	1875.a	1.a	$1$	$2$	$2$	$14.972$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(0\)	\(4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
1875.2.a.c	$1875$	$2$	1875.a	1.a	$1$	$2$	$2$	$14.972$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(1\)	\(2\)	\(0\)	\(-4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
1875.2.a.e	$1875$	$2$	1875.a	1.a	$1$	$4$	$4$	$14.972$	4.4.5125.1	None	✓	$1$	$1$	\(-2\)	\(-4\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{1}+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
1875.2.a.f	$1875$	$2$	1875.a	1.a	$1$	$4$	$4$	$14.972$	\(\Q(\zeta_{15})^+\)	None	✓	$1$	$1$	\(-1\)	\(4\)	\(0\)	\(-5\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{2}+\beta _{3})q^{2}+q^{3}+\beta _{1}q^{4}+(\beta _{2}+\beta _{3})q^{6}+\cdots\)
1875.2.a.g	$1875$	$2$	1875.a	1.a	$1$	$4$	$4$	$14.972$	\(\Q(\zeta_{15})^+\)	None	✓	$1$	$1$	\(1\)	\(-4\)	\(0\)	\(5\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{2}-\beta _{3})q^{2}-q^{3}+\beta _{1}q^{4}+(\beta _{2}+\cdots)q^{6}+\cdots\)
1875.2.a.j	$1875$	$2$	1875.a	1.a	$1$	$6$	$6$	$14.972$	6.6.44400625.1	None	✓	$1$	$1$	\(0\)	\(-6\)	\(0\)	\(-6\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1-\beta _{3}+\beta _{4})q^{4}+\beta _{1}q^{6}+\cdots\)
1875.2.a.m	$1875$	$2$	1875.a	1.a	$1$	$8$	$8$	$14.972$	8.8.5444000000.1	None	✓	$1$	$1$	\(-4\)	\(8\)	\(0\)	\(-8\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)