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 |
$a_{2}$ |
$a_{3}$ |
$a_{5}$ |
$a_{7}$ |
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 |
✓ |
$2$ |
$0$ |
\(0\) |
\(-1\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q-q^{3}-q^{5}+q^{11}+q^{15}-q^{23}+q^{27}+\cdots\) |
52.1.j.a |
$52$ |
$1$ |
52.j |
52.j |
$6$ |
$2$ |
$1$ |
$0.026$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-1}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(-2\) |
\(0\) |
$1$ |
|
\(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-q^{5}+q^{8}+\zeta_{6}^{2}q^{9}+\cdots\) |
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 |
$2$ |
$1$ |
$1$ |
$0.028$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-14}) \) |
\(\Q(\sqrt{2}) \) |
✓ |
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(0\) |
\(-1\) |
$1$ |
|
\(q-q^{2}+q^{4}-q^{7}-q^{8}-q^{9}+q^{14}+\cdots\) |
57.1.h.a |
$57$ |
$1$ |
57.h |
57.h |
$6$ |
$2$ |
$1$ |
$0.028$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-3}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(-1\) |
\(0\) |
\(-2\) |
$1$ |
|
\(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-q^{7}-\zeta_{6}q^{9}+q^{12}+\cdots\) |
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 |
$2$ |
$1$ |
$1$ |
$0.034$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-17}) \) |
\(\Q(\sqrt{17}) \) |
✓ |
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-q^{2}+q^{4}-q^{8}-q^{9}-2q^{13}+q^{16}+\cdots\) |
68.1.f.a |
$68$ |
$1$ |
68.f |
68.f |
$4$ |
$2$ |
$1$ |
$0.034$ |
\(\Q(\sqrt{-1}) \) |
$D_{4}$ |
\(\Q(\sqrt{-1}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
$1$ |
|
\(q+iq^{2}-q^{4}+(-1-i)q^{5}-iq^{8}+\cdots\) |
72.1.p.a |
$72$ |
$1$ |
72.p |
72.p |
$6$ |
$2$ |
$1$ |
$0.036$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-2}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(-1\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{6}+\cdots\) |
76.1.c.a |
$76$ |
$1$ |
76.c |
19.b |
$2$ |
$1$ |
$1$ |
$0.038$ |
\(\Q\) |
$D_{3}$ |
\(\Q(\sqrt{-19}) \) |
None |
✓ |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(-1\) |
\(-1\) |
$1$ |
|
\(q-q^{5}-q^{7}+q^{9}-q^{11}-q^{17}+q^{19}+\cdots\) |
77.1.j.a |
$77$ |
$1$ |
77.j |
77.j |
$10$ |
$4$ |
$1$ |
$0.038$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-7}) \) |
None |
|
$4$ |
$0$ |
\(-2\) |
\(0\) |
\(0\) |
\(-1\) |
$1$ |
|
\(q+(\zeta_{10}^{2}+\zeta_{10}^{4})q^{2}+(-\zeta_{10}-\zeta_{10}^{3}+\cdots)q^{4}+\cdots\) |
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 |
✓ |
$2$ |
$0$ |
\(0\) |
\(-1\) |
\(0\) |
\(-1\) |
$1$ |
|
\(q-q^{3}+q^{4}-q^{7}-q^{11}-q^{12}+q^{16}+\cdots\) |
84.1.p.a |
$84$ |
$1$ |
84.p |
21.h |
$6$ |
$2$ |
$1$ |
$0.042$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-3}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(-1\) |
\(0\) |
\(-1\) |
$1$ |
|
\(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{7}-\zeta_{6}q^{9}-q^{13}+\cdots\) |
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 |
✓ |
$2$ |
$0$ |
\(1\) |
\(-1\) |
\(0\) |
\(-1\) |
$1$ |
|
\(q+q^{2}-q^{3}-q^{6}-q^{7}-q^{8}+q^{9}+\cdots\) |
88.1.l.a |
$88$ |
$1$ |
88.l |
88.l |
$10$ |
$4$ |
$1$ |
$0.044$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-2}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(-2\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-\zeta_{10}q^{2}+(\zeta_{10}^{2}+\zeta_{10}^{4})q^{3}+\zeta_{10}^{2}q^{4}+\cdots\) |
93.1.l.a |
$93$ |
$1$ |
93.l |
93.l |
$10$ |
$4$ |
$1$ |
$0.046$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-3}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(-1\) |
\(0\) |
\(-2\) |
$1$ |
|
\(q-\zeta_{10}q^{3}-\zeta_{10}^{3}q^{4}+(\zeta_{10}^{2}+\zeta_{10}^{4}+\cdots)q^{7}+\cdots\) |
95.1.d.a |
$95$ |
$1$ |
95.d |
95.d |
$2$ |
$1$ |
$1$ |
$0.047$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-95}) \) |
\(\Q(\sqrt{5}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(1\) |
\(0\) |
$1$ |
|
\(q-q^{4}+q^{5}-q^{9}-2q^{11}+q^{16}+q^{19}+\cdots\) |
99.1.h.a |
$99$ |
$1$ |
99.h |
99.h |
$6$ |
$2$ |
$1$ |
$0.049$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-11}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(-1\) |
\(1\) |
\(0\) |
$1$ |
|
\(q+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{9}+\cdots\) |
100.1.j.a |
$100$ |
$1$ |
100.j |
100.j |
$10$ |
$4$ |
$1$ |
$0.050$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-1}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q-\zeta_{10}^{3}q^{2}-\zeta_{10}q^{4}+\zeta_{10}^{4}q^{5}+\zeta_{10}^{4}q^{8}+\cdots\) |
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.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 |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
$1$ |
|
\(q+iq^{4}+(-1-i)q^{7}-iq^{13}-q^{16}+\cdots\) |
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 |
|
$4$ |
$0$ |
\(0\) |
\(-1\) |
\(0\) |
\(-2\) |
$1$ |
|
\(q-\zeta_{14}^{5}q^{3}+\zeta_{14}^{4}q^{4}+(-\zeta_{14}+\zeta_{14}^{6}+\cdots)q^{7}+\cdots\) |
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 |
|
$4$ |
$0$ |
\(1\) |
\(-1\) |
\(-1\) |
\(1\) |
$1$ |
|
\(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}+\cdots\) |