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Results (14 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3789.1.i.a	$3789$	$1$	3789.i	421.d	$4$	$2$	$1$	$1.891$	\(\Q(\sqrt{-1}) \)	$D_{4}$	\(\Q(\sqrt{-3}) \)	None		✓	3789.1.i.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-iq^{4}-iq^{7}+(-1+i)q^{13}-q^{16}+\cdots\)
3789.1.br.a	$3789$	$1$	3789.br	421.l	$20$	$8$	$1$	$1.891$	\(\Q(\zeta_{20})\)	$D_{20}$	\(\Q(\sqrt{-3}) \)	None		✓	3789.1.br.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\zeta_{20}^{3}q^{4}+(\zeta_{20}-\zeta_{20}^{7})q^{7}+(-\zeta_{20}+\cdots)q^{13}+\cdots\)
3789.1.bx.a	$3789$	$1$	3789.bx	421.n	$28$	$12$	$1$	$1.891$	\(\Q(\zeta_{28})\)	$D_{28}$	\(\Q(\sqrt{-3}) \)	None		✓	3789.1.bx.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\zeta_{28}^{5}q^{4}+(\zeta_{28}^{11}-\zeta_{28}^{13})q^{7}+\cdots\)
3789.1.du.a	$3789$	$1$	3789.du	421.v	$140$	$48$	$1$	$1.891$	\(\Q(\zeta_{140})\)	$D_{140}$	\(\Q(\sqrt{-3}) \)	None		✓	3789.1.du.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{140}^{33}q^{4}+(-\zeta_{140}^{11}-\zeta_{140}^{27}+\cdots)q^{7}+\cdots\)
3789.2.a.a	$3789$	$2$	3789.a	1.a	$1$	$2$	$2$	$30.255$	\(\Q(\sqrt{21}) \)	$_{}$	None	None	✓		1263.2.a.a	$1$	$1$	\(-2\)	\(0\)	\(-3\)	\(4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+(-1-\beta )q^{5}+2q^{7}+3q^{8}+\cdots\)
3789.2.a.b	$3789$	$2$	3789.a	1.a	$1$	$4$	$4$	$30.255$	\(\Q(\sqrt{3}, \sqrt{7})\)	$_{}$	None	None	✓	✓	3789.2.a.b	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{3})q^{2}+q^{4}+\beta _{1}q^{5}+(-\beta _{1}+\cdots)q^{8}+\cdots\)
3789.2.a.c	$3789$	$2$	3789.a	1.a	$1$	$11$	$11$	$30.255$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	$_{}$	None	None	✓		1263.2.a.b	$1$	$1$	\(5\)	\(0\)	\(4\)	\(-14\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{2}+(\beta _{3}-\beta _{7})q^{4}-\beta _{4}q^{5}+(-3+\cdots)q^{7}+\cdots\)
3789.2.a.d	$3789$	$2$	3789.a	1.a	$1$	$15$	$15$	$30.255$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	$_{}$	None	None	✓		421.2.a.a	$1$	$0$	\(6\)	\(0\)	\(11\)	\(-5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+(\beta _{2}+\beta _{4}+\beta _{6}+\cdots)q^{5}+\cdots\)
3789.2.a.e	$3789$	$2$	3789.a	1.a	$1$	$15$	$15$	$30.255$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	$_{}$	None	None	✓		1263.2.a.c	$1$	$0$	\(7\)	\(0\)	\(8\)	\(-6\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(1+\beta _{14})q^{5}+\cdots\)
3789.2.a.f	$3789$	$2$	3789.a	1.a	$1$	$18$	$18$	$30.255$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	$_{}$	None	None	✓		1263.2.a.d	$1$	$1$	\(-6\)	\(0\)	\(-5\)	\(-2\)	$+$	$19$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}-\beta _{7}q^{5}+\cdots\)
3789.2.a.g	$3789$	$2$	3789.a	1.a	$1$	$19$	$19$	$30.255$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	$_{}$	None	None	✓		421.2.a.b	$1$	$1$	\(-4\)	\(0\)	\(-7\)	\(3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{7}q^{5}-\beta _{17}q^{7}+\cdots\)
3789.2.a.h	$3789$	$2$	3789.a	1.a	$1$	$25$	$25$	$30.255$		$_{}$	None	None	✓		1263.2.a.e	$1$	$0$	\(-7\)	\(0\)	\(-6\)	\(18\)	$-$		$\mathrm{SU}(2)$
3789.2.a.i	$3789$	$2$	3789.a	1.a	$1$	$26$	$26$	$30.255$		$_{}$	None	None	✓	✓	3789.2.a.i	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-16\)	$+$		$\mathrm{SU}(2)$
3789.2.a.j	$3789$	$2$	3789.a	1.a	$1$	$40$	$40$	$30.255$		$_{}$	None	None	✓	✓	3789.2.a.j	$2$	$0$	\(0\)	\(0\)	\(0\)	\(16\)	$-$		$\mathrm{SU}(2)$