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

Results (18 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	7	11
1694.4.a.h	$1694$	$4$	1694.a	1.a	$1$	$2$	$2$	$99.949$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$0$	\(-4\)	\(-5\)	\(-17\)	\(14\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+(-2-\beta )q^{3}+4q^{4}+(-10+\cdots)q^{5}+\cdots\)
1694.4.a.j	$1694$	$4$	1694.a	1.a	$1$	$2$	$2$	$99.949$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-4\)	\(-4\)	\(-13\)	\(-14\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+(1-6\beta )q^{3}+4q^{4}+(-12+\cdots)q^{5}+\cdots\)
1694.4.a.k	$1694$	$4$	1694.a	1.a	$1$	$2$	$2$	$99.949$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-4\)	\(6\)	\(2\)	\(-14\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+(2+2\beta )q^{3}+4q^{4}+(6-10\beta )q^{5}+\cdots\)
1694.4.a.l	$1694$	$4$	1694.a	1.a	$1$	$2$	$2$	$99.949$	\(\Q(\sqrt{137}) \)	None	✓	$1$	$0$	\(4\)	\(-5\)	\(-7\)	\(-14\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+(-2-\beta )q^{3}+4q^{4}+(-4+\cdots)q^{5}+\cdots\)
1694.4.a.p	$1694$	$4$	1694.a	1.a	$1$	$2$	$2$	$99.949$	\(\Q(\sqrt{37}) \)	None	✓	$1$	$0$	\(4\)	\(6\)	\(26\)	\(-14\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+2q^{2}+(3+\beta )q^{3}+4q^{4}+(13-\beta )q^{5}+\cdots\)
1694.4.a.s	$1694$	$4$	1694.a	1.a	$1$	$3$	$3$	$99.949$	3.3.7636.1	None	✓	$1$	$0$	\(-6\)	\(6\)	\(26\)	\(21\)		$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-2q^{2}+(2-\beta _{1})q^{3}+4q^{4}+(9-\beta _{2})q^{5}+\cdots\)
1694.4.a.v	$1694$	$4$	1694.a	1.a	$1$	$4$	$4$	$99.949$	4.4.4388525.1	None	✓	$1$	$0$	\(-8\)	\(-10\)	\(2\)	\(-28\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+(-1+3\beta _{2})q^{3}+4q^{4}+(3+\cdots)q^{5}+\cdots\)
1694.4.a.w	$1694$	$4$	1694.a	1.a	$1$	$4$	$4$	$99.949$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(-8\)	\(1\)	\(4\)	\(28\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+\beta _{1}q^{3}+4q^{4}+(1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
1694.4.a.y	$1694$	$4$	1694.a	1.a	$1$	$4$	$4$	$99.949$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(1\)	\(4\)	\(-28\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+\beta _{1}q^{3}+4q^{4}+(1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
1694.4.a.z	$1694$	$4$	1694.a	1.a	$1$	$5$	$5$	$99.949$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-10\)	\(1\)	\(9\)	\(35\)		$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-2q^{2}+\beta _{1}q^{3}+4q^{4}+(2-\beta _{2})q^{5}+\cdots\)
1694.4.a.ba	$1694$	$4$	1694.a	1.a	$1$	$5$	$5$	$99.949$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-10\)	\(1\)	\(15\)	\(-35\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+\beta _{1}q^{3}+4q^{4}+(3-\beta _{2})q^{5}+\cdots\)
1694.4.a.bb	$1694$	$4$	1694.a	1.a	$1$	$5$	$5$	$99.949$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(10\)	\(1\)	\(9\)	\(-35\)		$-$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+2q^{2}+\beta _{1}q^{3}+4q^{4}+(2-\beta _{2})q^{5}+\cdots\)
1694.4.a.bc	$1694$	$4$	1694.a	1.a	$1$	$5$	$5$	$99.949$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(10\)	\(1\)	\(15\)	\(35\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+2q^{2}+\beta _{1}q^{3}+4q^{4}+(3-\beta _{2})q^{5}+\cdots\)
1694.4.a.bg	$1694$	$4$	1694.a	1.a	$1$	$8$	$8$	$99.949$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(16\)	\(12\)	\(-7\)	\(-56\)		$-$	$+$	$-$	$+$	$11$	$\mathrm{SU}(2)$	\(q+2q^{2}+(1-\beta _{2})q^{3}+4q^{4}+(-1+\beta _{2}+\cdots)q^{5}+\cdots\)
1694.4.a.bh	$1694$	$4$	1694.a	1.a	$1$	$10$	$10$	$99.949$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(-20\)	\(-3\)	\(-27\)	\(70\)		$+$	$-$	$-$	$+$	$11^{3}$	$\mathrm{SU}(2)$	\(q-2q^{2}+\beta _{1}q^{3}+4q^{4}+(-3-\beta _{4}+\cdots)q^{5}+\cdots\)
1694.4.a.bi	$1694$	$4$	1694.a	1.a	$1$	$10$	$10$	$99.949$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(-20\)	\(2\)	\(12\)	\(-70\)		$+$	$+$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q-2q^{2}+\beta _{1}q^{3}+4q^{4}+(1+2\beta _{2}-\beta _{7}+\cdots)q^{5}+\cdots\)
1694.4.a.bl	$1694$	$4$	1694.a	1.a	$1$	$10$	$10$	$99.949$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(20\)	\(2\)	\(12\)	\(70\)		$-$	$-$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q+2q^{2}+\beta _{1}q^{3}+4q^{4}+(1+2\beta _{2}-\beta _{7}+\cdots)q^{5}+\cdots\)
1694.4.a.bm	$1694$	$4$	1694.a	1.a	$1$	$10$	$10$	$99.949$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(20\)	\(17\)	\(11\)	\(70\)		$-$	$-$	$+$	$+$	$3^{2}\cdot 11^{2}$	$\mathrm{SU}(2)$	\(q+2q^{2}+(2-\beta _{1})q^{3}+4q^{4}+(1-\beta _{5}+\cdots)q^{5}+\cdots\)