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

Results (15 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	11	19
5225.2.a.a	$5225$	$2$	5225.a	1.a	$1$	$1$	$1$	$41.722$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+3q^{8}-3q^{9}-q^{11}-2q^{13}+\cdots\)
5225.2.a.d	$5225$	$2$	5225.a	1.a	$1$	$2$	$2$	$41.722$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$2$	\(-2\)	\(-4\)	\(0\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}-2q^{3}+(1-2\beta )q^{4}+\cdots\)
5225.2.a.g	$5225$	$2$	5225.a	1.a	$1$	$2$	$2$	$41.722$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(4\)	\(0\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+2q^{3}+(1+2\beta )q^{4}+(2+\cdots)q^{6}+\cdots\)
5225.2.a.h	$5225$	$2$	5225.a	1.a	$1$	$5$	$5$	$41.722$	5.5.246832.1	None	✓	$1$	$0$	\(-2\)	\(-1\)	\(0\)	\(-6\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}-\beta _{3}q^{3}+(\beta _{1}+\beta _{2}+\beta _{3}+\beta _{4})q^{4}+\cdots\)
5225.2.a.j	$5225$	$2$	5225.a	1.a	$1$	$5$	$5$	$41.722$	\(\Q(\zeta_{22})^+\)	None	✓	$1$	$0$	\(3\)	\(7\)	\(0\)	\(11\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{3}-\beta _{4})q^{2}+(2-\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots\)
5225.2.a.m	$5225$	$2$	5225.a	1.a	$1$	$7$	$7$	$41.722$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(-3\)	\(0\)	\(1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{5}q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{1}+\cdots)q^{6}+\cdots\)
5225.2.a.n	$5225$	$2$	5225.a	1.a	$1$	$7$	$7$	$41.722$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(-2\)	\(0\)	\(-10\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{2}q^{3}+(2+\beta _{2}+\beta _{3})q^{4}+\cdots\)
5225.2.a.o	$5225$	$2$	5225.a	1.a	$1$	$8$	$8$	$41.722$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(6\)	\(7\)	\(0\)	\(11\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1+\beta _{6})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots\)
5225.2.a.q	$5225$	$2$	5225.a	1.a	$1$	$9$	$9$	$41.722$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(-3\)	\(-3\)	\(0\)	\(9\)		$+$	$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{5}q^{3}+(1-\beta _{1}-\beta _{8})q^{4}+\cdots\)
5225.2.a.t	$5225$	$2$	5225.a	1.a	$1$	$15$	$15$	$41.722$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(4\)	\(0\)	\(11\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{8}q^{3}+(1+\beta _{2})q^{4}+(-\beta _{11}+\cdots)q^{6}+\cdots\)
5225.2.a.u	$5225$	$2$	5225.a	1.a	$1$	$15$	$15$	$41.722$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(4\)	\(0\)	\(17\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{7}q^{3}+(1+\beta _{2})q^{4}+\beta _{4}q^{6}+\cdots\)
5225.2.a.x	$5225$	$2$	5225.a	1.a	$1$	$15$	$15$	$41.722$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(5\)	\(4\)	\(0\)	\(15\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{6}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
5225.2.a.y	$5225$	$2$	5225.a	1.a	$1$	$15$	$15$	$41.722$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(5\)	\(4\)	\(0\)	\(21\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{5}q^{3}+(1+\beta _{2})q^{4}+(-\beta _{4}+\cdots)q^{6}+\cdots\)
5225.2.a.bb	$5225$	$2$	5225.a	1.a	$1$	$22$	$22$	$41.722$		None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
5225.2.a.bc	$5225$	$2$	5225.a	1.a	$1$	$30$	$30$	$41.722$		None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$