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Results (15 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3725.1.g.a	$3725$	$1$	3725.g	745.g	$4$	$2$	$1$	$1.859$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{745}) \)		✓			3725.1.g.a	$4$	$0$	\(-2\)	\(2\)	\(0\)	\(0\)		$1$		\(q+(-1+i)q^{2}+(1+i)q^{3}-iq^{4}-q^{6}+\cdots\)
3725.1.g.b	$3725$	$1$	3725.g	745.g	$4$	$2$	$1$	$1.859$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{745}) \)		✓			3725.1.g.a	$4$	$0$	\(2\)	\(-2\)	\(0\)	\(0\)		$1$		\(q+(1-i)q^{2}+(-1-i)q^{3}-iq^{4}-q^{6}+\cdots\)
3725.2.a.a	$3725$	$2$	3725.a	1.a	$1$	$2$	$2$	$29.744$	\(\Q(\sqrt{5}) \)	$_{}$	None	None	✓				745.2.a.a	$1$	$0$	\(1\)	\(-1\)	\(0\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-\beta q^{3}+(-1+\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
3725.2.a.b	$3725$	$2$	3725.a	1.a	$1$	$3$	$3$	$29.744$	\(\Q(\zeta_{14})^+\)	$_{}$	None	None	✓				149.2.a.a	$1$	$1$	\(1\)	\(4\)	\(0\)	\(5\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2-\beta _{1}+\beta _{2})q^{3}+\beta _{2}q^{4}+\cdots\)
3725.2.a.c	$3725$	$2$	3725.a	1.a	$1$	$9$	$9$	$29.744$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	$_{}$	None	None	✓				149.2.a.b	$1$	$0$	\(1\)	\(-6\)	\(0\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-1-\beta _{8})q^{3}+(2-\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
3725.2.a.d	$3725$	$2$	3725.a	1.a	$1$	$10$	$10$	$29.744$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	$_{}$	None	None	✓				745.2.a.b	$1$	$1$	\(2\)	\(0\)	\(0\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{7}q^{3}+(1+\beta _{3}+\beta _{4}+\beta _{8}+\cdots)q^{4}+\cdots\)
3725.2.a.e	$3725$	$2$	3725.a	1.a	$1$	$11$	$11$	$29.744$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	$_{}$	None	None	✓				745.2.a.c	$1$	$0$	\(5\)	\(12\)	\(0\)	\(13\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1-\beta _{3})q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
3725.2.a.f	$3725$	$2$	3725.a	1.a	$1$	$12$	$12$	$29.744$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None	✓				745.2.a.d	$1$	$0$	\(-5\)	\(3\)	\(0\)	\(-1\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{4}q^{3}+(2+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
3725.2.a.g	$3725$	$2$	3725.a	1.a	$1$	$14$	$14$	$29.744$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	$_{}$	None	None	✓				745.2.a.e	$1$	$1$	\(-4\)	\(-10\)	\(0\)	\(-11\)	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1+\beta _{5})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
3725.2.a.h	$3725$	$2$	3725.a	1.a	$1$	$25$	$25$	$29.744$		$_{}$	None	None	✓	✓			3725.2.a.h	$1$	$1$	\(-4\)	\(-14\)	\(0\)	\(-14\)	$+$		$\mathrm{SU}(2)$
3725.2.a.i	$3725$	$2$	3725.a	1.a	$1$	$25$	$25$	$29.744$		$_{}$	None	None	✓	✓	✓		3725.2.a.i	$1$	$1$	\(-2\)	\(-14\)	\(0\)	\(-18\)	$+$		$\mathrm{SU}(2)$
3725.2.a.j	$3725$	$2$	3725.a	1.a	$1$	$25$	$25$	$29.744$		$_{}$	None	None	✓	✓			3725.2.a.i	$1$	$0$	\(2\)	\(14\)	\(0\)	\(18\)	$-$		$\mathrm{SU}(2)$
3725.2.a.k	$3725$	$2$	3725.a	1.a	$1$	$25$	$25$	$29.744$		$_{}$	None	None	✓	✓	✓		3725.2.a.h	$1$	$0$	\(4\)	\(14\)	\(0\)	\(14\)	$-$		$\mathrm{SU}(2)$
3725.2.a.l	$3725$	$2$	3725.a	1.a	$1$	$30$	$30$	$29.744$		$_{}$	None	None	✓		✓		745.2.b.a	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)	$+$		$\mathrm{SU}(2)$
3725.2.a.m	$3725$	$2$	3725.a	1.a	$1$	$44$	$44$	$29.744$		$_{}$	None	None	✓		✓		745.2.b.b	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$-$		$\mathrm{SU}(2)$