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

Results (17 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	5
400.10.a.a	$400$	$10$	400.a	1.a	$1$	$1$	$1$	$206.014$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-204\)	\(0\)	\(5432\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-204q^{3}+5432q^{7}+21933q^{9}+\cdots\)
400.10.a.b	$400$	$10$	400.a	1.a	$1$	$1$	$1$	$206.014$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-156\)	\(0\)	\(-952\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-156q^{3}-952q^{7}+4653q^{9}+56148q^{11}+\cdots\)
400.10.a.c	$400$	$10$	400.a	1.a	$1$	$1$	$1$	$206.014$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-114\)	\(0\)	\(4242\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-114q^{3}+4242q^{7}-6687q^{9}+46208q^{11}+\cdots\)
400.10.a.e	$400$	$10$	400.a	1.a	$1$	$1$	$1$	$206.014$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-48\)	\(0\)	\(-532\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-48q^{3}-532q^{7}-17379q^{9}+33180q^{11}+\cdots\)
400.10.a.f	$400$	$10$	400.a	1.a	$1$	$1$	$1$	$206.014$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-21\)	\(0\)	\(-1882\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-21q^{3}-1882q^{7}-19242q^{9}-8007q^{11}+\cdots\)
400.10.a.h	$400$	$10$	400.a	1.a	$1$	$1$	$1$	$206.014$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(46\)	\(0\)	\(-10318\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+46q^{3}-10318q^{7}-17567q^{9}+\cdots\)
400.10.a.j	$400$	$10$	400.a	1.a	$1$	$1$	$1$	$206.014$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(174\)	\(0\)	\(4658\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+174q^{3}+4658q^{7}+10593q^{9}+\cdots\)
400.10.a.k	$400$	$10$	400.a	1.a	$1$	$1$	$1$	$206.014$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(228\)	\(0\)	\(-6328\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+228q^{3}-6328q^{7}+32301q^{9}+\cdots\)
400.10.a.l	$400$	$10$	400.a	1.a	$1$	$2$	$2$	$206.014$	\(\Q(\sqrt{79}) \)	None	✓	$1$	$0$	\(0\)	\(-260\)	\(0\)	\(-380\)		$-$	$+$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+(-130+\beta )q^{3}+(-190+69\beta )q^{7}+\cdots\)
400.10.a.p	$400$	$10$	400.a	1.a	$1$	$2$	$2$	$206.014$	\(\Q(\sqrt{1009}) \)	None	✓	$1$	$0$	\(0\)	\(-68\)	\(0\)	\(-56\)		$-$	$+$	$-$	$2\cdot 5$	$\mathrm{SU}(2)$	\(q+(-34-\beta )q^{3}+(-28-42\beta )q^{7}+\cdots\)
400.10.a.t	$400$	$10$	400.a	1.a	$1$	$2$	$2$	$206.014$	\(\Q(\sqrt{1009}) \)	None	✓	$1$	$0$	\(0\)	\(260\)	\(0\)	\(1700\)		$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(130-\beta )q^{3}+(850-107\beta )q^{7}+(1253+\cdots)q^{9}+\cdots\)
400.10.a.w	$400$	$10$	400.a	1.a	$1$	$3$	$3$	$206.014$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(73\)	\(0\)	\(1482\)		$-$	$+$	$-$	$2^{4}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q+(24-\beta _{1})q^{3}+(495+4\beta _{1}-\beta _{2})q^{7}+\cdots\)
400.10.a.y	$400$	$10$	400.a	1.a	$1$	$3$	$3$	$206.014$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(89\)	\(0\)	\(5258\)		$-$	$+$	$-$	$2^{4}\cdot 5$	$\mathrm{SU}(2)$	\(q+(30-\beta _{1})q^{3}+(1744+26\beta _{1}-23\beta _{2})q^{7}+\cdots\)
400.10.a.bc	$400$	$10$	400.a	1.a	$1$	$4$	$4$	$206.014$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(236\)	\(0\)	\(592\)		$+$	$-$	$-$	$2^{10}\cdot 3\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q+(59+\beta _{1})q^{3}+(148-6\beta _{1}-\beta _{2})q^{7}+\cdots\)
400.10.a.bd	$400$	$10$	400.a	1.a	$1$	$5$	$5$	$206.014$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(-1618\)		$+$	$-$	$-$	$2^{17}\cdot 3^{3}\cdot 5^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-322-10\beta _{1}+\beta _{2})q^{7}+\cdots\)
400.10.a.bf	$400$	$10$	400.a	1.a	$1$	$7$	$7$	$206.014$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-10\)	\(0\)	\(-1802\)		$+$	$-$	$-$	$2^{25}\cdot 3^{2}\cdot 5^{7}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(-2^{8}+3\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
400.10.a.bg	$400$	$10$	400.a	1.a	$1$	$7$	$7$	$206.014$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(10\)	\(0\)	\(1802\)		$+$	$-$	$-$	$2^{25}\cdot 3^{2}\cdot 5^{7}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(2^{8}-3\beta _{1}-\beta _{2})q^{7}+\cdots\)