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

Results (24 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	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	7	23
9016.2.a.a	$9016$	$2$	9016.a	1.a	$1$	$1$	$1$	$71.993$	\(\Q\)	None	✓		1288.2.a.i	$1$	$1$	\(0\)	\(-3\)	\(-2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-2q^{5}+6q^{9}+2q^{11}+q^{13}+\cdots\)
9016.2.a.b	$9016$	$2$	9016.a	1.a	$1$	$1$	$1$	$71.993$	\(\Q\)	None	✓		184.2.a.d	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+6q^{9}+5q^{13}+6q^{17}-6q^{19}+\cdots\)
9016.2.a.e	$9016$	$2$	9016.a	1.a	$1$	$1$	$1$	$71.993$	\(\Q\)	None	✓		1288.2.a.f	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{9}+4q^{11}-6q^{13}+q^{23}+\cdots\)
9016.2.a.g	$9016$	$2$	9016.a	1.a	$1$	$1$	$1$	$71.993$	\(\Q\)	None	✓		1288.2.a.e	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{9}-6q^{11}+3q^{13}+q^{23}+\cdots\)
9016.2.a.i	$9016$	$2$	9016.a	1.a	$1$	$1$	$1$	$71.993$	\(\Q\)	None	✓		184.2.a.c	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{9}+6q^{11}+2q^{13}-6q^{17}+6q^{19}+\cdots\)
9016.2.a.m	$9016$	$2$	9016.a	1.a	$1$	$1$	$1$	$71.993$	\(\Q\)	None	✓		1288.2.a.c	$1$	$1$	\(0\)	\(2\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{9}+6q^{17}-6q^{19}+q^{23}+\cdots\)
9016.2.a.n	$9016$	$2$	9016.a	1.a	$1$	$1$	$1$	$71.993$	\(\Q\)	None	✓		1288.2.a.b	$1$	$1$	\(0\)	\(3\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+6q^{9}-6q^{11}-q^{13}+q^{23}+\cdots\)
9016.2.a.p	$9016$	$2$	9016.a	1.a	$1$	$2$	$2$	$71.993$	\(\Q(\sqrt{2}) \)	None	✓	✓	9016.2.a.p	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+2\beta q^{5}-q^{9}-4q^{11}+3\beta q^{13}+\cdots\)
9016.2.a.q	$9016$	$2$	9016.a	1.a	$1$	$2$	$2$	$71.993$	\(\Q(\sqrt{2}) \)	None	✓	✓	9016.2.a.q	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+2\beta q^{5}-q^{9}-4q^{11}+\beta q^{13}+\cdots\)
9016.2.a.s	$9016$	$2$	9016.a	1.a	$1$	$2$	$2$	$71.993$	\(\Q(\sqrt{2}) \)	None	✓	✓	9016.2.a.s	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+\beta q^{5}-q^{9}+2q^{11}-4\beta q^{13}+\cdots\)
9016.2.a.u	$9016$	$2$	9016.a	1.a	$1$	$2$	$2$	$71.993$	\(\Q(\sqrt{2}) \)	None	✓	✓	9016.2.a.u	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{3}+\beta q^{5}+5q^{9}-4q^{11}-4\beta q^{13}+\cdots\)
9016.2.a.v	$9016$	$2$	9016.a	1.a	$1$	$2$	$2$	$71.993$	\(\Q(\sqrt{2}) \)	None	✓		1288.2.a.k	$1$	$1$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(2-\beta )q^{5}-q^{9}+2q^{11}+2\beta q^{13}+\cdots\)
9016.2.a.w	$9016$	$2$	9016.a	1.a	$1$	$2$	$2$	$71.993$	\(\Q(\sqrt{17}) \)	None	✓		184.2.a.e	$1$	$1$	\(0\)	\(1\)	\(-4\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-2q^{5}+(1+\beta )q^{9}+2\beta q^{11}+\cdots\)
9016.2.a.z	$9016$	$2$	9016.a	1.a	$1$	$3$	$3$	$71.993$	3.3.148.1	None	✓		1288.2.a.l	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(-2+2\beta _{1}+\beta _{2})q^{5}+(-\beta _{1}+\cdots)q^{9}+\cdots\)
9016.2.a.ba	$9016$	$2$	9016.a	1.a	$1$	$4$	$4$	$71.993$	\(\Q(\zeta_{24})^+\)	None	✓	✓	9016.2.a.ba	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+2\beta _{3}q^{5}+(-1+\beta _{2})q^{9}+\cdots\)
9016.2.a.bb	$9016$	$2$	9016.a	1.a	$1$	$4$	$4$	$71.993$	4.4.9248.1	None	✓	✓	9016.2.a.bb	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{3})q^{5}+\beta _{2}q^{9}+\cdots\)
9016.2.a.bf	$9016$	$2$	9016.a	1.a	$1$	$4$	$4$	$71.993$	4.4.8468.1	None	✓		1288.2.a.n	$1$	$1$	\(0\)	\(3\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(\beta _{2}-\beta _{3})q^{5}+(1-2\beta _{1}+\cdots)q^{9}+\cdots\)
9016.2.a.bh	$9016$	$2$	9016.a	1.a	$1$	$6$	$6$	$71.993$	6.6.79480832.1	None	✓	✓	9016.2.a.bh	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{1}q^{5}+(1+\beta _{2}-\beta _{3})q^{9}+\cdots\)
9016.2.a.bj	$9016$	$2$	9016.a	1.a	$1$	$8$	$8$	$71.993$	8.8.\(\cdots\).1	None	✓	✓	9016.2.a.bj	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$2^{5}$	$\mathrm{SU}(2)$	\(q-\beta _{6}q^{3}-\beta _{4}q^{5}-\beta _{3}q^{9}+(-1-\beta _{3}+\cdots)q^{11}+\cdots\)
9016.2.a.bk	$9016$	$2$	9016.a	1.a	$1$	$11$	$11$	$71.993$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓		1288.2.q.d	$1$	$1$	\(0\)	\(-4\)	\(-3\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{10}q^{5}+(1+\beta _{1}+\beta _{2})q^{9}+\cdots\)
9016.2.a.bl	$9016$	$2$	9016.a	1.a	$1$	$11$	$11$	$71.993$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓		1288.2.q.a	$1$	$1$	\(0\)	\(-4\)	\(-1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{3}q^{5}+(1+\beta _{1}+\beta _{2})q^{9}+\cdots\)
9016.2.a.bm	$9016$	$2$	9016.a	1.a	$1$	$11$	$11$	$71.993$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓		1288.2.q.c	$1$	$1$	\(0\)	\(-2\)	\(-7\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1+\beta _{3})q^{5}+(1+\beta _{1}+\beta _{7}+\cdots)q^{9}+\cdots\)
9016.2.a.bo	$9016$	$2$	9016.a	1.a	$1$	$11$	$11$	$71.993$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓		1288.2.q.b	$1$	$1$	\(0\)	\(2\)	\(-9\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1+\beta _{5})q^{5}+(1+\beta _{4}-\beta _{5}+\cdots)q^{9}+\cdots\)
9016.2.a.bs	$9016$	$2$	9016.a	1.a	$1$	$14$	$14$	$71.993$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	✓	9016.2.a.bs	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{7})q^{5}+(1+\beta _{4}+\cdots)q^{9}+\cdots\)