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Results (18 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
376.1.e.a	$376$	$1$	376.e	376.e	$2$	$1$	$1$	$0.188$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-47}) \), \(\Q(\sqrt{-94}) \)	\(\Q(\sqrt{2}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(-2\)	$1$		\(q+q^{2}+q^{4}-2q^{7}+q^{8}+q^{9}-2q^{14}+\cdots\)
376.1.e.b	$376$	$1$	376.e	376.e	$2$	$2$	$2$	$0.188$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-94}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-\beta q^{5}-q^{8}+q^{9}+\beta q^{10}+\cdots\)
1504.1.e.a	$1504$	$1$	1504.e	376.e	$2$	$1$	$1$	$0.751$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-47}) \), \(\Q(\sqrt{-94}) \)	\(\Q(\sqrt{2}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q+2q^{7}+q^{9}-2q^{17}-q^{25}-q^{47}+\cdots\)
1504.1.e.b	$1504$	$1$	1504.e	376.e	$2$	$2$	$2$	$0.751$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-94}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta q^{5}+q^{9}-\beta q^{11}+\beta q^{13}+\beta q^{19}+\cdots\)
1880.1.l.e	$1880$	$1$	1880.l	1880.l	$2$	$8$	$8$	$0.938$	\(\Q(\zeta_{16})\)	$D_{8}$	\(\Q(\sqrt{-94}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{16}^{4}q^{2}-q^{4}-\zeta_{16}q^{5}+(\zeta_{16}^{2}+\cdots)q^{7}+\cdots\)
2632.1.y.a	$2632$	$1$	2632.y	2632.y	$6$	$2$	$1$	$1.314$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-94}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(-1\)	\(2\)	$1$		\(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}+q^{7}+q^{8}+\cdots\)
2632.1.y.c	$2632$	$1$	2632.y	2632.y	$6$	$2$	$1$	$1.314$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-94}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(1\)	\(2\)	$1$		\(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}+q^{7}+q^{8}+\cdots\)
2632.1.y.e	$2632$	$1$	2632.y	2632.y	$6$	$4$	$2$	$1.314$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-94}) \)	None		$8$	$0$	\(-2\)	\(0\)	\(0\)	\(-4\)	$3$		\(q+\zeta_{12}^{4}q^{2}-\zeta_{12}^{2}q^{4}+(-\zeta_{12}^{3}-\zeta_{12}^{5}+\cdots)q^{5}+\cdots\)
2632.1.y.h	$2632$	$1$	2632.y	2632.y	$6$	$8$	$4$	$1.314$	\(\Q(\zeta_{24})\)	$D_{12}$	\(\Q(\sqrt{-94}) \)	None		$8$	$0$	\(4\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{24}^{8}q^{2}-\zeta_{24}^{4}q^{4}+(\zeta_{24}^{7}+\zeta_{24}^{9}+\cdots)q^{5}+\cdots\)
3384.1.p.a	$3384$	$1$	3384.p	376.e	$2$	$1$	$1$	$1.689$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-47}) \), \(\Q(\sqrt{-94}) \)	\(\Q(\sqrt{2}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-q^{2}+q^{4}-2q^{7}-q^{8}+2q^{14}+q^{16}+\cdots\)
3384.1.p.b	$3384$	$1$	3384.p	376.e	$2$	$2$	$2$	$1.689$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-94}) \)	None	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}-\beta q^{5}+q^{8}-\beta q^{10}+\beta q^{11}+\cdots\)
3384.1.p.c	$3384$	$1$	3384.p	376.e	$2$	$4$	$4$	$1.689$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-94}) \)	None	✓	$4$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-\beta _{1}q^{5}-\beta _{2}q^{7}-q^{8}+\cdots\)
3384.1.p.e	$3384$	$1$	3384.p	376.e	$2$	$4$	$4$	$1.689$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-94}) \)	None	✓	$4$	$0$	\(4\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}-\beta _{1}q^{5}-\beta _{2}q^{7}+q^{8}+\cdots\)
376.3.e.a	$376$	$3$	376.e	376.e	$2$	$4$	$4$	$10.245$	4.4.1131008.1	$_{}$	\(\Q(\sqrt{-94}) \)	None	✓	$4$	$0$	\(-8\)	\(0\)	\(0\)	\(0\)	$2^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}+4q^{4}-\beta _{2}q^{5}-\beta _{3}q^{7}-8q^{8}+\cdots\)
376.3.e.b	$376$	$3$	376.e	376.e	$2$	$4$	$4$	$10.245$	4.4.48128.1	$_{}$	\(\Q(\sqrt{-94}) \)	None	✓	$4$	$0$	\(8\)	\(0\)	\(0\)	\(0\)	$2^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}+4q^{4}+\beta _{1}q^{5}+\beta _{3}q^{7}+8q^{8}+\cdots\)
3008.2.h.a	$3008$	$2$	3008.h	376.h	$2$	$16$	$16$	$24.019$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	\(\Q(\sqrt{-94}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{22}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{4}q^{5}+\beta _{8}q^{7}-3q^{9}-\beta _{14}q^{11}+\cdots\)
1504.3.e.a	$1504$	$3$	1504.e	376.e	$2$	$4$	$4$	$40.981$	4.4.1131008.1	$_{}$	\(\Q(\sqrt{-94}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{2}q^{5}+\beta _{3}q^{7}+9q^{9}+(2\beta _{1}+\beta _{2}+\cdots)q^{11}+\cdots\)
1504.3.e.b	$1504$	$3$	1504.e	376.e	$2$	$4$	$4$	$40.981$	4.4.48128.1	$_{}$	\(\Q(\sqrt{-94}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{1}q^{5}-\beta _{3}q^{7}+9q^{9}+(-\beta _{1}+2\beta _{2}+\cdots)q^{11}+\cdots\)