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Results (1-50 of 1700 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
23.1.b.a	$23$	$1$	23.b	23.b	$2$	$1$	$1$	$0.011$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-23}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)		$1$		\(q-q^{2}-q^{3}+q^{6}+q^{8}-q^{13}-q^{16}+\cdots\)
31.1.b.a	$31$	$1$	31.b	31.b	$2$	$1$	$1$	$0.015$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-31}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(-1\)		$1$		\(q-q^{2}-q^{5}-q^{7}+q^{8}+q^{9}+q^{10}+\cdots\)
39.1.d.a	$39$	$1$	39.d	39.d	$2$	$1$	$1$	$0.019$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-39}) \)	\(\Q(\sqrt{13}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)		$1$		\(q-q^{3}-q^{4}+q^{9}+q^{12}-q^{13}+q^{16}+\cdots\)
44.1.d.a	$44$	$1$	44.d	11.b	$2$	$1$	$1$	$0.022$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-11}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(0\)		$1$		\(q-q^{3}-q^{5}+q^{11}+q^{15}-q^{23}+q^{27}+\cdots\)
55.1.d.a	$55$	$1$	55.d	55.d	$2$	$1$	$1$	$0.027$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-55}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)		$1$		\(q-q^{4}-q^{5}+q^{9}-q^{11}+q^{16}+q^{20}+\cdots\)
56.1.h.a	$56$	$1$	56.h	56.h	$2$	$1$	$1$	$0.028$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-14}) \)	\(\Q(\sqrt{2}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)		$1$		\(q-q^{2}+q^{4}-q^{7}-q^{8}-q^{9}+q^{14}+\cdots\)
59.1.b.a	$59$	$1$	59.b	59.b	$2$	$1$	$1$	$0.029$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-59}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(-1\)		$1$		\(q-q^{3}+q^{4}-q^{5}-q^{7}-q^{12}+q^{15}+\cdots\)
63.1.d.a	$63$	$1$	63.d	7.b	$2$	$1$	$1$	$0.031$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-7}) \)	\(\Q(\sqrt{21}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)		$1$		\(q-q^{4}-q^{7}+q^{16}+q^{25}+q^{28}-2q^{37}+\cdots\)
68.1.d.a	$68$	$1$	68.d	68.d	$2$	$1$	$1$	$0.034$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-17}) \)	\(\Q(\sqrt{17}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)		$1$		\(q-q^{2}+q^{4}-q^{8}-q^{9}-2q^{13}+q^{16}+\cdots\)
76.1.c.a	$76$	$1$	76.c	19.b	$2$	$1$	$1$	$0.038$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-19}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(-1\)		$1$		\(q-q^{5}-q^{7}+q^{9}-q^{11}-q^{17}+q^{19}+\cdots\)
80.1.h.a	$80$	$1$	80.h	20.d	$2$	$1$	$1$	$0.040$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-5}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)		$1$		\(q-q^{5}-q^{9}+q^{25}+2q^{29}-2q^{41}+\cdots\)
83.1.b.a	$83$	$1$	83.b	83.b	$2$	$1$	$1$	$0.041$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-83}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)		$1$		\(q-q^{3}+q^{4}-q^{7}-q^{11}-q^{12}+q^{16}+\cdots\)
87.1.d.a	$87$	$1$	87.d	87.d	$2$	$1$	$1$	$0.043$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-87}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(0\)	\(-1\)		$1$		\(q-q^{2}+q^{3}-q^{6}-q^{7}+q^{8}+q^{9}+\cdots\)
87.1.d.b	$87$	$1$	87.d	87.d	$2$	$1$	$1$	$0.043$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-87}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(0\)	\(-1\)		$1$		\(q+q^{2}-q^{3}-q^{6}-q^{7}-q^{8}+q^{9}+\cdots\)
95.1.d.a	$95$	$1$	95.d	95.d	$2$	$1$	$1$	$0.047$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-95}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$1$		\(q-q^{4}+q^{5}-q^{9}-2q^{11}+q^{16}+q^{19}+\cdots\)
11.2.a.a	$11$	$2$	11.a	1.a	$1$	$1$	$1$	$0.088$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(-2\)	\(-1\)	\(1\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}-2q^{7}+\cdots\)
14.2.a.a	$14$	$2$	14.a	1.a	$1$	$1$	$1$	$0.112$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(-1\)	\(-2\)	\(0\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}+2q^{6}+q^{7}-q^{8}+\cdots\)
15.2.a.a	$15$	$2$	15.a	1.a	$1$	$1$	$1$	$0.120$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(1\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}+q^{5}+q^{6}+3q^{8}+\cdots\)
17.2.a.a	$17$	$2$	17.a	1.a	$1$	$1$	$1$	$0.136$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-2\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}-2q^{5}+4q^{7}+3q^{8}-3q^{9}+\cdots\)
19.2.a.a	$19$	$2$	19.a	1.a	$1$	$1$	$1$	$0.152$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-2\)	\(3\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{4}+3q^{5}-q^{7}+q^{9}+3q^{11}+\cdots\)
20.2.a.a	$20$	$2$	20.a	1.a	$1$	$1$	$1$	$0.160$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-1\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{5}+2q^{7}+q^{9}+2q^{13}+\cdots\)
21.2.a.a	$21$	$2$	21.a	1.a	$1$	$1$	$1$	$0.168$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(-1\)	\(1\)	\(-2\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}-2q^{5}-q^{6}-q^{7}+\cdots\)
24.2.a.a	$24$	$2$	24.a	1.a	$1$	$1$	$1$	$0.192$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
26.2.a.a	$26$	$2$	26.a	1.a	$1$	$1$	$1$	$0.208$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(-1\)	\(1\)	\(-3\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}-q^{7}+\cdots\)
26.2.a.b	$26$	$2$	26.a	1.a	$1$	$1$	$1$	$0.208$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(1\)	\(-3\)	\(-1\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-3q^{3}+q^{4}-q^{5}-3q^{6}+q^{7}+\cdots\)
27.2.a.a	$27$	$2$	27.a	1.a	$1$	$1$	$1$	$0.216$	\(\Q\)	$_{}$	\(\Q(\sqrt{-3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$-$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}-q^{7}+5q^{13}+4q^{16}-7q^{19}+\cdots\)
30.2.a.a	$30$	$2$	30.a	1.a	$1$	$1$	$1$	$0.240$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(-1\)	\(1\)	\(-1\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-4q^{7}+\cdots\)
32.2.a.a	$32$	$2$	32.a	1.a	$1$	$1$	$1$	$0.256$	\(\Q\)	$_{}$	\(\Q(\sqrt{-1}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$-$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{5}-3q^{9}+6q^{13}+2q^{17}-q^{25}+\cdots\)
33.2.a.a	$33$	$2$	33.a	1.a	$1$	$1$	$1$	$0.264$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(1\)	\(-1\)	\(-2\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}-2q^{5}-q^{6}+4q^{7}+\cdots\)
34.2.a.a	$34$	$2$	34.a	1.a	$1$	$1$	$1$	$0.271$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(1\)	\(-2\)	\(0\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-2q^{3}+q^{4}-2q^{6}-4q^{7}+q^{8}+\cdots\)
35.2.a.a	$35$	$2$	35.a	1.a	$1$	$1$	$1$	$0.279$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(1\)	\(-1\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-q^{5}+q^{7}-2q^{9}-3q^{11}+\cdots\)
36.2.a.a	$36$	$2$	36.a	1.a	$1$	$1$	$1$	$0.287$	\(\Q\)	$_{}$	\(\Q(\sqrt{-3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$-$	$1$	$N(\mathrm{U}(1))$	\(q-4q^{7}+2q^{13}+8q^{19}-5q^{25}-4q^{31}+\cdots\)
37.2.a.a	$37$	$2$	37.a	1.a	$1$	$1$	$1$	$0.295$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(-2\)	\(-3\)	\(-2\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+2q^{4}-2q^{5}+6q^{6}+\cdots\)
37.2.a.b	$37$	$2$	37.a	1.a	$1$	$1$	$1$	$0.295$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-q^{7}-2q^{9}+3q^{11}+\cdots\)
11.3.b.a	$11$	$3$	11.b	11.b	$2$	$1$	$1$	$0.300$	\(\Q\)	$_{}$	\(\Q(\sqrt{-11}) \)	None	✓	$2$	$0$	\(0\)	\(-5\)	\(-1\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-5q^{3}+4q^{4}-q^{5}+2^{4}q^{9}-11q^{11}+\cdots\)
38.2.a.a	$38$	$2$	38.a	1.a	$1$	$1$	$1$	$0.303$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(-1\)	\(1\)	\(0\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
38.2.a.b	$38$	$2$	38.a	1.a	$1$	$1$	$1$	$0.303$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(1\)	\(-1\)	\(-4\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-4q^{5}-q^{6}+3q^{7}+\cdots\)
39.2.a.a	$39$	$2$	39.a	1.a	$1$	$1$	$1$	$0.311$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(1\)	\(-1\)	\(2\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}+2q^{5}-q^{6}-4q^{7}+\cdots\)
40.2.a.a	$40$	$2$	40.a	1.a	$1$	$1$	$1$	$0.319$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-4q^{7}-3q^{9}+4q^{11}-2q^{13}+\cdots\)
12.3.c.a	$12$	$3$	12.c	3.b	$2$	$1$	$1$	$0.327$	\(\Q\)	$_{}$	\(\Q(\sqrt{-3}) \)	None	✓	$2$	$0$	\(0\)	\(-3\)	\(0\)	\(2\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-3q^{3}+2q^{7}+9q^{9}-22q^{13}+26q^{19}+\cdots\)
42.2.a.a	$42$	$2$	42.a	1.a	$1$	$1$	$1$	$0.335$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(1\)	\(-1\)	\(-2\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots\)
43.2.a.a	$43$	$2$	43.a	1.a	$1$	$1$	$1$	$0.343$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(-4\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-2q^{3}+2q^{4}-4q^{5}+4q^{6}+\cdots\)
44.2.a.a	$44$	$2$	44.a	1.a	$1$	$1$	$1$	$0.351$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(1\)	\(-3\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{5}+2q^{7}-2q^{9}-q^{11}+\cdots\)
45.2.a.a	$45$	$2$	45.a	1.a	$1$	$1$	$1$	$0.359$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-q^{5}-3q^{8}-q^{10}+4q^{11}+\cdots\)
46.2.a.a	$46$	$2$	46.a	1.a	$1$	$1$	$1$	$0.367$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(-1\)	\(0\)	\(4\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+4q^{5}-4q^{7}-q^{8}-3q^{9}+\cdots\)
48.2.a.a	$48$	$2$	48.a	1.a	$1$	$1$	$1$	$0.383$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(1\)	\(-2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
49.2.a.a	$49$	$2$	49.a	1.a	$1$	$1$	$1$	$0.391$	\(\Q\)	$_{}$	\(\Q(\sqrt{-7}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$-$	$1$	$N(\mathrm{U}(1))$	\(q+q^{2}-q^{4}-3q^{8}-3q^{9}+4q^{11}+\cdots\)
50.2.a.a	$50$	$2$	50.a	1.a	$1$	$1$	$1$	$0.399$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(-1\)	\(1\)	\(0\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}+2q^{7}-q^{8}+\cdots\)
50.2.a.b	$50$	$2$	50.a	1.a	$1$	$1$	$1$	$0.399$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(1\)	\(-1\)	\(0\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{6}-2q^{7}+q^{8}+\cdots\)
51.2.a.a	$51$	$2$	51.a	1.a	$1$	$1$	$1$	$0.407$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(1\)	\(3\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}+3q^{5}-4q^{7}+q^{9}-3q^{11}+\cdots\)