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Results (32 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	23	43
5934.2.a.a	$5934$	$2$	5934.a	1.a	$1$	$1$	$1$	$47.383$	\(\Q\)	None	✓	✓			5934.2.a.a	$1$	$1$	\(-1\)	\(-1\)	\(-3\)	\(3\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-3q^{5}+q^{6}+3q^{7}+\cdots\)
5934.2.a.b	$5934$	$2$	5934.a	1.a	$1$	$1$	$1$	$47.383$	\(\Q\)	None	✓	✓			5934.2.a.b	$1$	$1$	\(-1\)	\(-1\)	\(1\)	\(-1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots\)
5934.2.a.c	$5934$	$2$	5934.a	1.a	$1$	$1$	$1$	$47.383$	\(\Q\)	None	✓	✓			5934.2.a.c	$1$	$1$	\(-1\)	\(-1\)	\(3\)	\(-1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+3q^{5}+q^{6}-q^{7}+\cdots\)
5934.2.a.d	$5934$	$2$	5934.a	1.a	$1$	$1$	$1$	$47.383$	\(\Q\)	None	✓	✓			5934.2.a.d	$1$	$2$	\(-1\)	\(1\)	\(-3\)	\(-3\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}-3q^{7}+\cdots\)
5934.2.a.e	$5934$	$2$	5934.a	1.a	$1$	$1$	$1$	$47.383$	\(\Q\)	None	✓	✓			5934.2.a.e	$1$	$1$	\(1\)	\(-1\)	\(-1\)	\(-3\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-3q^{7}+\cdots\)
5934.2.a.f	$5934$	$2$	5934.a	1.a	$1$	$1$	$1$	$47.383$	\(\Q\)	None	✓	✓			5934.2.a.f	$1$	$1$	\(1\)	\(-1\)	\(-1\)	\(3\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+3q^{7}+\cdots\)
5934.2.a.g	$5934$	$2$	5934.a	1.a	$1$	$1$	$1$	$47.383$	\(\Q\)	None	✓	✓			5934.2.a.g	$1$	$1$	\(1\)	\(-1\)	\(2\)	\(0\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+q^{8}+\cdots\)
5934.2.a.h	$5934$	$2$	5934.a	1.a	$1$	$1$	$1$	$47.383$	\(\Q\)	None	✓	✓			5934.2.a.h	$1$	$1$	\(1\)	\(-1\)	\(2\)	\(2\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+2q^{7}+\cdots\)
5934.2.a.i	$5934$	$2$	5934.a	1.a	$1$	$1$	$1$	$47.383$	\(\Q\)	None	✓	✓			5934.2.a.i	$1$	$1$	\(1\)	\(-1\)	\(3\)	\(-3\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+3q^{5}-q^{6}-3q^{7}+\cdots\)
5934.2.a.j	$5934$	$2$	5934.a	1.a	$1$	$1$	$1$	$47.383$	\(\Q\)	None	✓	✓			5934.2.a.j	$1$	$0$	\(1\)	\(1\)	\(3\)	\(1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+3q^{5}+q^{6}+q^{7}+\cdots\)
5934.2.a.k	$5934$	$2$	5934.a	1.a	$1$	$2$	$2$	$47.383$	\(\Q(\sqrt{17}) \)	None	✓	✓			5934.2.a.k	$1$	$1$	\(-2\)	\(-2\)	\(-3\)	\(-1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}+q^{6}+\cdots\)
5934.2.a.l	$5934$	$2$	5934.a	1.a	$1$	$3$	$3$	$47.383$	3.3.993.1	None	✓	✓	✓		5934.2.a.l	$1$	$1$	\(-3\)	\(-3\)	\(1\)	\(4\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}+(1+\cdots)q^{7}+\cdots\)
5934.2.a.m	$5934$	$2$	5934.a	1.a	$1$	$3$	$3$	$47.383$	3.3.257.1	None	✓	✓			5934.2.a.m	$1$	$0$	\(-3\)	\(-3\)	\(5\)	\(-2\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+(2-\beta _{1})q^{5}+q^{6}+\cdots\)
5934.2.a.n	$5934$	$2$	5934.a	1.a	$1$	$3$	$3$	$47.383$	3.3.169.1	None	✓	✓			5934.2.a.n	$1$	$1$	\(-3\)	\(3\)	\(1\)	\(-4\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+(1-\beta _{1}+\beta _{2})q^{5}+\cdots\)
5934.2.a.o	$5934$	$2$	5934.a	1.a	$1$	$3$	$3$	$47.383$	3.3.316.1	None	✓	✓			5934.2.a.o	$1$	$0$	\(3\)	\(3\)	\(0\)	\(6\)		$-$	$-$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}+(2+\cdots)q^{7}+\cdots\)
5934.2.a.p	$5934$	$2$	5934.a	1.a	$1$	$3$	$3$	$47.383$	\(\Q(\zeta_{14})^+\)	None	✓	✓			5934.2.a.p	$1$	$1$	\(3\)	\(3\)	\(1\)	\(-10\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}+(-3+\cdots)q^{7}+\cdots\)
5934.2.a.q	$5934$	$2$	5934.a	1.a	$1$	$4$	$4$	$47.383$	4.4.10889.1	None	✓	✓			5934.2.a.q	$1$	$1$	\(-4\)	\(-4\)	\(-1\)	\(2\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+(\beta _{1}+\beta _{2})q^{5}+q^{6}+\cdots\)
5934.2.a.r	$5934$	$2$	5934.a	1.a	$1$	$4$	$4$	$47.383$	4.4.5744.1	None	✓	✓	✓		5934.2.a.r	$1$	$1$	\(-4\)	\(4\)	\(2\)	\(0\)		$+$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+(1+\beta _{2})q^{5}-q^{6}+\cdots\)
5934.2.a.s	$5934$	$2$	5934.a	1.a	$1$	$4$	$4$	$47.383$	4.4.16609.1	None	✓	✓	✓		5934.2.a.s	$1$	$1$	\(4\)	\(-4\)	\(-6\)	\(3\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(-2-\beta _{2})q^{5}-q^{6}+\cdots\)
5934.2.a.t	$5934$	$2$	5934.a	1.a	$1$	$4$	$4$	$47.383$	4.4.4752.1	None	✓	✓	✓		5934.2.a.t	$1$	$1$	\(4\)	\(4\)	\(-6\)	\(0\)		$-$	$-$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+(-2-\beta _{2}+\beta _{3})q^{5}+\cdots\)
5934.2.a.u	$5934$	$2$	5934.a	1.a	$1$	$5$	$5$	$47.383$	5.5.688624.1	None	✓	✓	✓		5934.2.a.u	$1$	$1$	\(-5\)	\(-5\)	\(-4\)	\(6\)		$+$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+(-1-\beta _{3})q^{5}+q^{6}+\cdots\)
5934.2.a.v	$5934$	$2$	5934.a	1.a	$1$	$7$	$7$	$47.383$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	✓	✓	✓	5934.2.a.v	$1$	$1$	\(7\)	\(7\)	\(-7\)	\(-12\)		$-$	$-$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+(-1+\beta _{1}+\beta _{4}+\cdots)q^{5}+\cdots\)
5934.2.a.w	$5934$	$2$	5934.a	1.a	$1$	$7$	$7$	$47.383$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	✓	✓		5934.2.a.w	$1$	$0$	\(7\)	\(7\)	\(5\)	\(6\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+(1-\beta _{5})q^{5}+q^{6}+\cdots\)
5934.2.a.x	$5934$	$2$	5934.a	1.a	$1$	$8$	$8$	$47.383$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	✓	✓		5934.2.a.x	$1$	$0$	\(-8\)	\(-8\)	\(1\)	\(-9\)		$+$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+\beta _{2}q^{5}+q^{6}+(-1+\cdots)q^{7}+\cdots\)
5934.2.a.y	$5934$	$2$	5934.a	1.a	$1$	$8$	$8$	$47.383$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	✓	✓	✓	5934.2.a.y	$1$	$1$	\(-8\)	\(8\)	\(-1\)	\(-6\)		$+$	$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-\beta _{2}q^{5}-q^{6}+(-\beta _{2}+\cdots)q^{7}+\cdots\)
5934.2.a.z	$5934$	$2$	5934.a	1.a	$1$	$8$	$8$	$47.383$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	✓	✓		5934.2.a.z	$1$	$1$	\(8\)	\(-8\)	\(-5\)	\(-6\)		$-$	$+$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(\beta _{1}+\beta _{6})q^{5}-q^{6}+\cdots\)
5934.2.a.ba	$5934$	$2$	5934.a	1.a	$1$	$10$	$10$	$47.383$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	✓	✓	✓	5934.2.a.ba	$1$	$0$	\(-10\)	\(-10\)	\(4\)	\(-1\)		$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-\beta _{3}q^{5}+q^{6}+\beta _{7}q^{7}+\cdots\)
5934.2.a.bb	$5934$	$2$	5934.a	1.a	$1$	$10$	$10$	$47.383$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	✓	✓	✓	5934.2.a.bb	$1$	$0$	\(10\)	\(-10\)	\(0\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+\beta _{1}q^{5}-q^{6}-\beta _{6}q^{7}+\cdots\)
5934.2.a.bc	$5934$	$2$	5934.a	1.a	$1$	$11$	$11$	$47.383$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	✓	✓		5934.2.a.bc	$1$	$0$	\(-11\)	\(11\)	\(1\)	\(8\)		$+$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}-q^{6}+(1+\cdots)q^{7}+\cdots\)
5934.2.a.bd	$5934$	$2$	5934.a	1.a	$1$	$11$	$11$	$47.383$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	✓	✓	✓	5934.2.a.bd	$1$	$0$	\(11\)	\(-11\)	\(2\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+\beta _{1}q^{5}-q^{6}-\beta _{8}q^{7}+\cdots\)
5934.2.a.be	$5934$	$2$	5934.a	1.a	$1$	$12$	$12$	$47.383$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	✓	✓	✓	5934.2.a.be	$1$	$0$	\(12\)	\(12\)	\(2\)	\(9\)		$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}+(1+\cdots)q^{7}+\cdots\)
5934.2.a.bf	$5934$	$2$	5934.a	1.a	$1$	$13$	$13$	$47.383$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	✓	✓	✓	5934.2.a.bf	$1$	$0$	\(-13\)	\(13\)	\(0\)	\(9\)		$+$	$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}+(1+\cdots)q^{7}+\cdots\)