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Results (15 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
355.1.c.a	$355$	$1$	355.c	355.c	$2$	$1$	$1$	$0.177$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-71}) \), \(\Q(\sqrt{-355}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}+q^{9}+q^{16}-2q^{19}-q^{20}+\cdots\)
1420.1.d.a	$1420$	$1$	1420.d	355.c	$2$	$1$	$1$	$0.709$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-355}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(1\)	\(-1\)	$1$		\(q+q^{5}-q^{7}+q^{9}-q^{13}+2q^{17}-q^{19}+\cdots\)
1420.1.d.b	$1420$	$1$	1420.d	355.c	$2$	$1$	$1$	$0.709$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-355}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(1\)	\(1\)	$1$		\(q+q^{5}+q^{7}+q^{9}+q^{13}-2q^{17}-q^{19}+\cdots\)
1420.1.d.c	$1420$	$1$	1420.d	355.c	$2$	$2$	$2$	$0.709$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-355}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-q^{5}-\beta q^{7}+q^{9}+\beta q^{13}+q^{19}+\cdots\)
1775.1.d.a	$1775$	$1$	1775.d	71.b	$2$	$1$	$1$	$0.886$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-71}) \), \(\Q(\sqrt{-355}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{4}-q^{9}+q^{16}+2q^{19}+2q^{29}+\cdots\)
2485.1.u.a	$2485$	$1$	2485.u	2485.u	$6$	$2$	$1$	$1.240$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-355}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-1\)	\(-2\)	$1$		\(q-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}-q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
2485.1.u.b	$2485$	$1$	2485.u	2485.u	$6$	$2$	$1$	$1.240$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-355}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-1\)	\(2\)	$1$		\(q-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}+q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
2485.1.u.c	$2485$	$1$	2485.u	2485.u	$6$	$4$	$2$	$1.240$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-355}) \)	None		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+\zeta_{12}^{4}q^{4}+\zeta_{12}^{2}q^{5}-\zeta_{12}^{3}q^{7}+\cdots\)
3195.1.e.a	$3195$	$1$	3195.e	355.c	$2$	$1$	$1$	$1.595$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-71}) \), \(\Q(\sqrt{-355}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{4}+q^{5}+q^{16}-2q^{19}+q^{20}+\cdots\)
3195.1.e.b	$3195$	$1$	3195.e	355.c	$2$	$2$	$2$	$1.595$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-355}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+q^{4}-q^{5}-\beta q^{7}+\beta q^{13}+q^{16}+\cdots\)
3195.1.e.c	$3195$	$1$	3195.e	355.c	$2$	$2$	$2$	$1.595$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-355}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+q^{4}+q^{5}-\beta q^{7}+\beta q^{13}+q^{16}+\cdots\)
355.3.c.a	$355$	$3$	355.c	355.c	$2$	$2$	$2$	$9.673$	\(\Q(\sqrt{71}) \)	$_{}$	\(\Q(\sqrt{-355}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-10\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{4}-5q^{5}-\beta q^{7}+9q^{9}+\beta q^{13}+\cdots\)
355.3.c.b	$355$	$3$	355.c	355.c	$2$	$2$	$2$	$9.673$	\(\Q(\sqrt{5}) \)	$_{}$	\(\Q(\sqrt{-355}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(10\)	\(0\)	$2$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{4}+5q^{5}-5\beta q^{7}+9q^{9}+11\beta q^{13}+\cdots\)
1420.3.d.a	$1420$	$3$	1420.d	355.c	$2$	$4$	$4$	$38.692$	\(\Q(\sqrt{15}, \sqrt{71})\)	$_{}$	\(\Q(\sqrt{-355}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-20\)	\(0\)	$2^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q-5q^{5}+(-\beta _{1}-\beta _{2})q^{7}+9q^{9}+(-\beta _{1}+\cdots)q^{13}+\cdots\)
1420.3.d.b	$1420$	$3$	1420.d	355.c	$2$	$4$	$4$	$38.692$	\(\Q(\sqrt{5}, \sqrt{213})\)	$_{}$	\(\Q(\sqrt{-355}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(20\)	\(0\)	$2^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q+5q^{5}+(-\beta _{1}-\beta _{2})q^{7}+9q^{9}+(-\beta _{1}+\cdots)q^{13}+\cdots\)