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Results (1-50 of 81105 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
103.1.b.a	$103$	$1$	103.b	103.b	$2$	$2$	$2$	$0.051$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-103}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-\beta q^{7}-q^{8}+\cdots\)
104.1.h.a	$104$	$1$	104.h	104.h	$2$	$1$	$1$	$0.052$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-26}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(1\)	\(1\)	$1$		\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
104.1.h.b	$104$	$1$	104.h	104.h	$2$	$1$	$1$	$0.052$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-26}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
107.1.b.a	$107$	$1$	107.b	107.b	$2$	$1$	$1$	$0.053$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-107}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}-q^{11}-q^{12}-q^{13}+q^{16}+\cdots\)
108.1.c.a	$108$	$1$	108.c	3.b	$2$	$1$	$1$	$0.054$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-q^{7}-q^{13}-q^{19}+q^{25}+2q^{31}+\cdots\)
111.1.d.a	$111$	$1$	111.d	111.d	$2$	$1$	$1$	$0.055$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-111}) \)	\(\Q(\sqrt{37}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(-2\)	$1$		\(q+q^{3}-q^{4}-2q^{7}+q^{9}-q^{12}+q^{16}+\cdots\)
111.1.d.b	$111$	$1$	111.d	111.d	$2$	$2$	$2$	$0.055$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-111}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-\beta q^{2}-q^{3}+q^{4}+\beta q^{5}+\beta q^{6}+q^{9}+\cdots\)
111.1.h.a	$111$	$1$	111.h	111.h	$6$	$2$	$1$	$0.055$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-\zeta_{6}q^{3}+\zeta_{6}q^{4}-\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
111.1.i.a	$111$	$1$	111.i	111.i	$6$	$2$	$1$	$0.055$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(1\)	$1$		\(q-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
112.1.l.a	$112$	$1$	112.l	112.l	$4$	$2$	$1$	$0.056$	\(\Q(\sqrt{-1}) \)	$D_{4}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+iq^{2}-q^{4}+iq^{7}-iq^{8}-iq^{9}+\cdots\)
116.1.d.a	$116$	$1$	116.d	116.d	$2$	$1$	$1$	$0.058$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-29}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(-1\)	\(0\)	$1$		\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots\)
116.1.d.b	$116$	$1$	116.d	116.d	$2$	$1$	$1$	$0.058$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-29}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
116.1.j.a	$116$	$1$	116.j	116.j	$14$	$6$	$1$	$0.058$	\(\Q(\zeta_{14})\)	$D_{7}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\zeta_{14}q^{2}+\zeta_{14}^{2}q^{4}+(\zeta_{14}^{4}-\zeta_{14}^{5}+\cdots)q^{5}+\cdots\)
117.1.j.a	$117$	$1$	117.j	13.d	$4$	$2$	$1$	$0.058$	\(\Q(\sqrt{-1}) \)	$D_{4}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q+iq^{4}+(-1-i)q^{7}-iq^{13}-q^{16}+\cdots\)
119.1.d.a	$119$	$1$	119.d	119.d	$2$	$2$	$2$	$0.059$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-119}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(2\)	$1$		\(q+(-1+\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
119.1.d.b	$119$	$1$	119.d	119.d	$2$	$2$	$2$	$0.059$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-119}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(1\)	\(-2\)	$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
120.1.i.a	$120$	$1$	120.i	120.i	$2$	$2$	$2$	$0.060$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{10}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-iq^{3}-q^{4}+iq^{5}-q^{6}+iq^{8}+\cdots\)
124.1.i.a	$124$	$1$	124.i	124.i	$6$	$4$	$2$	$0.062$	\(\Q(\zeta_{12})\)	$A_{4}$	None	None		$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}-q^{4}-\zeta_{12}^{2}q^{5}+\cdots\)
127.1.b.a	$127$	$1$	127.b	127.b	$2$	$2$	$2$	$0.063$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-127}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-q^{8}+q^{9}+\cdots\)
128.1.d.a	$128$	$1$	128.d	8.d	$2$	$1$	$1$	$0.064$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-2}) \)	\(\Q(\sqrt{2}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{9}-2q^{17}+q^{25}+2q^{41}+q^{49}+\cdots\)
129.1.l.a	$129$	$1$	129.l	129.l	$14$	$6$	$1$	$0.064$	\(\Q(\zeta_{14})\)	$D_{7}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q-\zeta_{14}^{5}q^{3}+\zeta_{14}^{4}q^{4}+(-\zeta_{14}+\zeta_{14}^{6}+\cdots)q^{7}+\cdots\)
131.1.b.a	$131$	$1$	131.b	131.b	$2$	$2$	$2$	$0.065$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-131}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q+(-1+\beta )q^{3}+q^{4}-\beta q^{5}-\beta q^{7}+\cdots\)
133.1.m.a	$133$	$1$	133.m	133.m	$6$	$4$	$2$	$0.066$	\(\Q(\zeta_{12})\)	$A_{4}$	None	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{5}q^{5}+\cdots\)
133.1.r.a	$133$	$1$	133.r	133.r	$6$	$2$	$1$	$0.066$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-19}) \)	None		$4$	$0$	\(0\)	\(0\)	\(1\)	\(-1\)	$1$		\(q-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
135.1.d.a	$135$	$1$	135.d	15.d	$2$	$1$	$1$	$0.067$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-15}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{2}+q^{5}+q^{8}-q^{10}-q^{16}-q^{17}+\cdots\)
135.1.d.b	$135$	$1$	135.d	15.d	$2$	$1$	$1$	$0.067$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-15}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{2}-q^{5}-q^{8}-q^{10}-q^{16}+q^{17}+\cdots\)
136.1.e.a	$136$	$1$	136.e	136.e	$2$	$1$	$1$	$0.068$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-34}) \)	\(\Q(\sqrt{17}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{17}+\cdots\)
136.1.j.a	$136$	$1$	136.j	136.j	$4$	$2$	$1$	$0.068$	\(\Q(\sqrt{-1}) \)	$D_{4}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-iq^{2}+(-1-i)q^{3}-q^{4}+(-1+i+\cdots)q^{6}+\cdots\)
136.1.p.a	$136$	$1$	136.p	136.p	$8$	$4$	$1$	$0.068$	\(\Q(\zeta_{8})\)	$D_{8}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{8}^{3}q^{2}+(\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}-\zeta_{8}^{2}q^{4}+\cdots\)
139.1.b.a	$139$	$1$	139.b	139.b	$2$	$1$	$1$	$0.069$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-139}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q+q^{4}-q^{5}-q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
140.1.h.a	$140$	$1$	140.h	35.c	$2$	$1$	$1$	$0.070$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-35}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(1\)	\(1\)	$1$		\(q-q^{3}+q^{5}+q^{7}-q^{11}-q^{13}-q^{15}+\cdots\)
140.1.h.b	$140$	$1$	140.h	35.c	$2$	$1$	$1$	$0.070$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-35}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-1\)	\(-1\)	$1$		\(q+q^{3}-q^{5}-q^{7}-q^{11}+q^{13}-q^{15}+\cdots\)
140.1.p.a	$140$	$1$	140.p	140.p	$6$	$2$	$1$	$0.070$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(-1\)	\(1\)	\(-1\)	\(-1\)	$1$		\(q-\zeta_{6}q^{2}-\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}+\cdots\)
140.1.p.b	$140$	$1$	140.p	140.p	$6$	$2$	$1$	$0.070$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(1\)	\(-1\)	\(-1\)	\(1\)	$1$		\(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}+\cdots\)
143.1.d.a	$143$	$1$	143.d	143.d	$2$	$2$	$2$	$0.071$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-143}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+(-1+\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
143.1.d.b	$143$	$1$	143.d	143.d	$2$	$2$	$2$	$0.071$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-143}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(0\)	\(1\)	$1$		\(q+(1-\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
144.1.g.a	$144$	$1$	144.g	4.b	$2$	$1$	$1$	$0.072$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1}) \)	\(\Q(\sqrt{3}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-2q^{13}-q^{25}+2q^{37}+q^{49}+2q^{61}+\cdots\)
145.1.f.a	$145$	$1$	145.f	145.f	$4$	$2$	$1$	$0.072$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{5}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+iq^{4}-iq^{5}+iq^{9}+(-1-i)q^{11}+\cdots\)
145.1.h.a	$145$	$1$	145.h	145.h	$4$	$2$	$1$	$0.072$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{29}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-iq^{4}-iq^{5}+(-1+i)q^{7}+iq^{9}+\cdots\)
147.1.l.a	$147$	$1$	147.l	147.l	$14$	$6$	$1$	$0.073$	\(\Q(\zeta_{14})\)	$D_{7}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+\zeta_{14}^{2}q^{3}+\zeta_{14}^{6}q^{4}-\zeta_{14}^{3}q^{7}+\cdots\)
148.1.f.a	$148$	$1$	148.f	37.d	$4$	$2$	$1$	$0.074$	\(\Q(\sqrt{-1}) \)	$S_{4}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q+iq^{3}-q^{7}-iq^{11}+(-1-i)q^{17}+\cdots\)
148.1.i.a	$148$	$1$	148.i	148.i	$6$	$2$	$1$	$0.074$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+q^{8}+\zeta_{6}^{2}q^{9}+\cdots\)
148.1.p.a	$148$	$1$	148.p	148.p	$18$	$6$	$1$	$0.074$	\(\Q(\zeta_{18})\)	$D_{9}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-3\)	\(0\)	$1$		\(q-\zeta_{18}q^{2}+\zeta_{18}^{2}q^{4}+(\zeta_{18}^{4}+\zeta_{18}^{6}+\cdots)q^{5}+\cdots\)
151.1.b.a	$151$	$1$	151.b	151.b	$2$	$3$	$3$	$0.075$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-151}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
152.1.g.a	$152$	$1$	152.g	152.g	$2$	$1$	$1$	$0.076$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-38}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(0\)	\(-1\)	$1$		\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
152.1.g.b	$152$	$1$	152.g	152.g	$2$	$1$	$1$	$0.076$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-38}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots\)
152.1.k.a	$152$	$1$	152.k	152.k	$6$	$2$	$1$	$0.076$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-1\)	\(1\)	\(0\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots\)
152.1.u.a	$152$	$1$	152.u	152.u	$18$	$6$	$1$	$0.076$	\(\Q(\zeta_{18})\)	$D_{9}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(-3\)	\(0\)	\(0\)	$1$		\(q-\zeta_{18}^{5}q^{2}+(\zeta_{18}^{6}-\zeta_{18}^{7})q^{3}-\zeta_{18}q^{4}+\cdots\)
155.1.c.a	$155$	$1$	155.c	155.c	$2$	$1$	$1$	$0.077$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-155}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}-q^{9}+q^{16}-2q^{19}-q^{20}+\cdots\)
155.1.c.b	$155$	$1$	155.c	155.c	$2$	$2$	$2$	$0.077$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-31}) \)	None		$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{2}+(-1-\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{4}+\cdots\)