| 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 |
| $a_{2}$ |
$a_{3}$ |
$a_{5}$ |
$a_{7}$ |
| 280.1.bi.a |
$280$ |
$1$ |
280.bi |
280.ai |
$6$ |
$2$ |
$1$ |
$0.140$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(-1\) |
\(2\) |
$1$ |
|
\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}+q^{7}+\cdots\) |
| 280.1.bi.b |
$280$ |
$1$ |
280.bi |
280.ai |
$6$ |
$2$ |
$1$ |
$0.140$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(0\) |
\(1\) |
\(-2\) |
$1$ |
|
\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}-q^{7}+\cdots\) |
| 360.1.p.a |
$360$ |
$1$ |
360.p |
40.e |
$2$ |
$1$ |
$1$ |
$0.180$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-10}) \) |
\(\Q(\sqrt{6}) \) |
✓ |
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(1\) |
\(0\) |
$1$ |
|
\(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+q^{16}+\cdots\) |
| 360.1.p.b |
$360$ |
$1$ |
360.p |
40.e |
$2$ |
$1$ |
$1$ |
$0.180$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-10}) \) |
\(\Q(\sqrt{6}) \) |
✓ |
$4$ |
$0$ |
\(1\) |
\(0\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+q^{16}+\cdots\) |
| 440.1.bh.a |
$440$ |
$1$ |
440.bh |
440.ah |
$10$ |
$4$ |
$1$ |
$0.220$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(-1\) |
\(3\) |
$1$ |
|
\(q-\zeta_{10}q^{2}+\zeta_{10}^{2}q^{4}+\zeta_{10}^{4}q^{5}+(1+\cdots)q^{7}+\cdots\) |
| 440.1.bh.b |
$440$ |
$1$ |
440.bh |
440.ah |
$10$ |
$4$ |
$1$ |
$0.220$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(0\) |
\(1\) |
\(-3\) |
$1$ |
|
\(q+\zeta_{10}q^{2}+\zeta_{10}^{2}q^{4}-\zeta_{10}^{4}q^{5}+(-1+\cdots)q^{7}+\cdots\) |
| 520.1.b.a |
$520$ |
$1$ |
520.b |
520.b |
$2$ |
$2$ |
$2$ |
$0.260$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-26}) \) |
\(\Q(\sqrt{65}) \) |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-iq^{2}-q^{4}+iq^{5}-iq^{7}+iq^{8}+\cdots\) |
| 520.1.bx.a |
$520$ |
$1$ |
520.bx |
520.ax |
$6$ |
$2$ |
$1$ |
$0.260$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(2\) |
\(1\) |
$1$ |
|
\(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+q^{5}-\zeta_{6}^{2}q^{7}+\cdots\) |
| 520.1.bx.b |
$520$ |
$1$ |
520.bx |
520.ax |
$6$ |
$2$ |
$1$ |
$0.260$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(0\) |
\(-2\) |
\(-1\) |
$1$ |
|
\(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-q^{5}+\zeta_{6}^{2}q^{7}+\cdots\) |
| 520.1.cd.a |
$520$ |
$1$ |
520.cd |
520.bd |
$6$ |
$4$ |
$2$ |
$0.260$ |
\(\Q(\zeta_{12})\) |
$D_{6}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}+\zeta_{12}^{3}q^{5}+\cdots\) |
| 640.1.e.a |
$640$ |
$1$ |
640.e |
40.e |
$2$ |
$1$ |
$1$ |
$0.319$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-10}) \) |
\(\Q(\sqrt{10}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q-q^{5}+q^{9}+2q^{13}+q^{25}-2q^{37}+\cdots\) |
| 640.1.e.b |
$640$ |
$1$ |
640.e |
40.e |
$2$ |
$1$ |
$1$ |
$0.319$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-10}) \) |
\(\Q(\sqrt{10}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(1\) |
\(0\) |
$1$ |
|
\(q+q^{5}+q^{9}-2q^{13}+q^{25}+2q^{37}+\cdots\) |
| 760.1.bm.a |
$760$ |
$1$ |
760.bm |
760.am |
$6$ |
$2$ |
$1$ |
$0.379$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(-1\) |
\(-2\) |
$1$ |
|
\(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}-q^{7}+q^{8}+\cdots\) |
| 760.1.bm.b |
$760$ |
$1$ |
760.bm |
760.am |
$6$ |
$2$ |
$1$ |
$0.379$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(0\) |
\(1\) |
\(2\) |
$1$ |
|
\(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}+q^{7}-q^{8}+\cdots\) |
| 760.1.bz.a |
$760$ |
$1$ |
760.bz |
760.az |
$18$ |
$6$ |
$1$ |
$0.379$ |
\(\Q(\zeta_{18})\) |
$D_{9}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+\zeta_{18}^{2}q^{2}+\zeta_{18}^{4}q^{4}-\zeta_{18}^{5}q^{5}+\cdots\) |
| 760.1.bz.b |
$760$ |
$1$ |
760.bz |
760.az |
$18$ |
$6$ |
$1$ |
$0.379$ |
\(\Q(\zeta_{18})\) |
$D_{9}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-\zeta_{18}^{2}q^{2}+\zeta_{18}^{4}q^{4}+\zeta_{18}^{5}q^{5}+\cdots\) |
| 920.1.bh.a |
$920$ |
$1$ |
920.bh |
920.ah |
$22$ |
$10$ |
$1$ |
$0.459$ |
\(\Q(\zeta_{22})\) |
$D_{11}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(-1\) |
\(-2\) |
$1$ |
|
\(q-\zeta_{22}q^{2}+\zeta_{22}^{2}q^{4}+\zeta_{22}^{6}q^{5}+(-\zeta_{22}^{3}+\cdots)q^{7}+\cdots\) |
| 920.1.bh.b |
$920$ |
$1$ |
920.bh |
920.ah |
$22$ |
$10$ |
$1$ |
$0.459$ |
\(\Q(\zeta_{22})\) |
$D_{11}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(0\) |
\(1\) |
\(2\) |
$1$ |
|
\(q+\zeta_{22}q^{2}+\zeta_{22}^{2}q^{4}-\zeta_{22}^{6}q^{5}+(\zeta_{22}^{3}+\cdots)q^{7}+\cdots\) |
| 1000.1.e.a |
$1000$ |
$1$ |
1000.e |
40.e |
$2$ |
$2$ |
$2$ |
$0.499$ |
\(\Q(\sqrt{5}) \) |
$D_{5}$ |
\(\Q(\sqrt{-10}) \) |
None |
✓ |
$2$ |
$0$ |
\(-2\) |
\(0\) |
\(0\) |
\(1\) |
$1$ |
|
\(q-q^{2}+q^{4}+(1-\beta )q^{7}-q^{8}+q^{9}+\cdots\) |
| 1000.1.e.b |
$1000$ |
$1$ |
1000.e |
40.e |
$2$ |
$2$ |
$2$ |
$0.499$ |
\(\Q(\sqrt{5}) \) |
$D_{5}$ |
\(\Q(\sqrt{-10}) \) |
None |
✓ |
$2$ |
$0$ |
\(2\) |
\(0\) |
\(0\) |
\(-1\) |
$1$ |
|
\(q+q^{2}+q^{4}+(-1+\beta )q^{7}+q^{8}+q^{9}+\cdots\) |
| 1000.1.g.a |
$1000$ |
$1$ |
1000.g |
8.d |
$2$ |
$4$ |
$4$ |
$0.499$ |
\(\Q(i, \sqrt{5})\) |
$D_{5}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-\beta _{3}q^{2}-q^{4}-\beta _{1}q^{7}+\beta _{3}q^{8}-q^{9}+\cdots\) |
| 1120.1.by.a |
$1120$ |
$1$ |
1120.by |
280.ai |
$6$ |
$2$ |
$1$ |
$0.559$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(-1\) |
\(-2\) |
$1$ |
|
\(q+\zeta_{6}^{2}q^{5}-q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}q^{11}+\cdots\) |
| 1120.1.by.b |
$1120$ |
$1$ |
1120.by |
280.ai |
$6$ |
$2$ |
$1$ |
$0.559$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(1\) |
\(2\) |
$1$ |
|
\(q-\zeta_{6}^{2}q^{5}+q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}q^{11}+\cdots\) |
| 1280.1.h.b |
$1280$ |
$1$ |
1280.h |
20.d |
$2$ |
$2$ |
$2$ |
$0.639$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-10}) \) |
\(\Q(\sqrt{10}) \) |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-iq^{5}-q^{9}-iq^{13}-q^{25}-iq^{37}+\cdots\) |
| 1400.1.y.a |
$1400$ |
$1$ |
1400.y |
280.y |
$4$ |
$4$ |
$2$ |
$0.699$ |
\(\Q(\zeta_{8})\) |
$D_{2}$ |
\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-10}) \) |
\(\Q(\sqrt{70}) \) |
|
$16$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{7}-\zeta_{8}q^{8}+\cdots\) |
| 1400.1.ba.a |
$1400$ |
$1$ |
1400.ba |
56.k |
$6$ |
$4$ |
$2$ |
$0.699$ |
\(\Q(\zeta_{12})\) |
$D_{3}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}-\zeta_{12}^{3}q^{7}+\cdots\) |
| 1400.1.cf.a |
$1400$ |
$1$ |
1400.cf |
280.ap |
$12$ |
$8$ |
$2$ |
$0.699$ |
\(\Q(\zeta_{24})\) |
$D_{6}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$16$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-\zeta_{24}^{11}q^{2}-\zeta_{24}^{10}q^{4}-\zeta_{24}^{3}q^{7}+\cdots\) |
| 1440.1.p.a |
$1440$ |
$1$ |
1440.p |
40.e |
$2$ |
$1$ |
$1$ |
$0.719$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-10}) \) |
\(\Q(\sqrt{6}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q-q^{5}+2q^{19}+2q^{23}+q^{25}-2q^{47}+\cdots\) |
| 1440.1.p.b |
$1440$ |
$1$ |
1440.p |
40.e |
$2$ |
$1$ |
$1$ |
$0.719$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-10}) \) |
\(\Q(\sqrt{6}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(1\) |
\(0\) |
$1$ |
|
\(q+q^{5}+2q^{19}-2q^{23}+q^{25}+2q^{47}+\cdots\) |
| 1480.1.h.e |
$1480$ |
$1$ |
1480.h |
1480.h |
$2$ |
$2$ |
$2$ |
$0.739$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-74}) \) |
\(\Q(\sqrt{185}) \) |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-iq^{2}-q^{4}-iq^{5}+iq^{8}+q^{9}-q^{10}+\cdots\) |
| 1480.1.by.a |
$1480$ |
$1$ |
1480.by |
1480.ay |
$6$ |
$2$ |
$1$ |
$0.739$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(-1\) |
\(-2\) |
$1$ |
|
\(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{7}+\cdots\) |
| 1480.1.by.b |
$1480$ |
$1$ |
1480.by |
1480.ay |
$6$ |
$2$ |
$1$ |
$0.739$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(0\) |
\(1\) |
\(2\) |
$1$ |
|
\(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}-\zeta_{6}^{2}q^{7}+\cdots\) |
| 1480.1.bz.a |
$1480$ |
$1$ |
1480.bz |
1480.az |
$6$ |
$4$ |
$2$ |
$0.739$ |
\(\Q(\zeta_{12})\) |
$D_{6}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{5}q^{5}-\zeta_{12}^{3}q^{8}+\cdots\) |
| 1480.1.de.a |
$1480$ |
$1$ |
1480.de |
1480.ce |
$18$ |
$6$ |
$1$ |
$0.739$ |
\(\Q(\zeta_{18})\) |
$D_{9}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+\zeta_{18}^{4}q^{2}+\zeta_{18}^{8}q^{4}+\zeta_{18}^{2}q^{5}+\cdots\) |
| 1480.1.de.b |
$1480$ |
$1$ |
1480.de |
1480.ce |
$18$ |
$6$ |
$1$ |
$0.739$ |
\(\Q(\zeta_{18})\) |
$D_{9}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-\zeta_{18}^{4}q^{2}+\zeta_{18}^{8}q^{4}-\zeta_{18}^{2}q^{5}+\cdots\) |
| 1480.1.dj.a |
$1480$ |
$1$ |
1480.dj |
1480.cj |
$18$ |
$12$ |
$2$ |
$0.739$ |
\(\Q(\zeta_{36})\) |
$D_{18}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-\zeta_{36}^{7}q^{2}+\zeta_{36}^{14}q^{4}+\zeta_{36}^{17}q^{5}+\cdots\) |
| 1600.1.m.a |
$1600$ |
$1$ |
1600.m |
40.i |
$4$ |
$2$ |
$1$ |
$0.799$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-10}) \) |
\(\Q(\sqrt{5}) \) |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-iq^{9}-iq^{11}-q^{19}+q^{41}-iq^{49}+\cdots\) |
| 1600.1.m.b |
$1600$ |
$1$ |
1600.m |
40.i |
$4$ |
$2$ |
$1$ |
$0.799$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-10}) \) |
\(\Q(\sqrt{5}) \) |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-iq^{9}+iq^{11}+q^{19}+q^{41}-iq^{49}+\cdots\) |
| 1640.1.j.a |
$1640$ |
$1$ |
1640.j |
1640.j |
$2$ |
$1$ |
$1$ |
$0.818$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-410}) \) |
\(\Q(\sqrt{41}) \) |
✓ |
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q-q^{2}+q^{4}-q^{5}-q^{8}-q^{9}+q^{10}+\cdots\) |
| 1640.1.j.b |
$1640$ |
$1$ |
1640.j |
1640.j |
$2$ |
$1$ |
$1$ |
$0.818$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-410}) \) |
\(\Q(\sqrt{41}) \) |
✓ |
$4$ |
$0$ |
\(1\) |
\(0\) |
\(1\) |
\(0\) |
$1$ |
|
\(q+q^{2}+q^{4}+q^{5}+q^{8}-q^{9}+q^{10}+\cdots\) |
| 1640.1.be.a |
$1640$ |
$1$ |
1640.be |
1640.ae |
$4$ |
$2$ |
$1$ |
$0.818$ |
\(\Q(\sqrt{-1}) \) |
$D_{4}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
$1$ |
|
\(q+iq^{2}-q^{4}+iq^{5}+(-1-i)q^{7}+\cdots\) |
| 1640.1.be.b |
$1640$ |
$1$ |
1640.be |
1640.ae |
$4$ |
$2$ |
$1$ |
$0.818$ |
\(\Q(\sqrt{-1}) \) |
$D_{4}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(2\) |
$1$ |
|
\(q-iq^{2}-q^{4}-iq^{5}+(1+i)q^{7}+iq^{8}+\cdots\) |
| 1640.1.cf.a |
$1640$ |
$1$ |
1640.cf |
1640.bf |
$10$ |
$4$ |
$1$ |
$0.818$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(-1\) |
\(-2\) |
$1$ |
|
\(q-\zeta_{10}^{3}q^{2}-\zeta_{10}q^{4}-\zeta_{10}q^{5}+(-\zeta_{10}+\cdots)q^{7}+\cdots\) |
| 1640.1.cf.b |
$1640$ |
$1$ |
1640.cf |
1640.bf |
$10$ |
$4$ |
$1$ |
$0.818$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(0\) |
\(1\) |
\(2\) |
$1$ |
|
\(q+\zeta_{10}^{3}q^{2}-\zeta_{10}q^{4}+\zeta_{10}q^{5}+(\zeta_{10}+\cdots)q^{7}+\cdots\) |
| 1640.1.ct.a |
$1640$ |
$1$ |
1640.ct |
1640.bt |
$10$ |
$4$ |
$1$ |
$0.818$ |
\(\Q(\zeta_{10})\) |
$D_{10}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q+\zeta_{10}^{2}q^{2}+\zeta_{10}^{4}q^{4}+\zeta_{10}^{4}q^{5}+\cdots\) |
| 1640.1.ct.b |
$1640$ |
$1$ |
1640.ct |
1640.bt |
$10$ |
$4$ |
$1$ |
$0.818$ |
\(\Q(\zeta_{10})\) |
$D_{10}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(0\) |
\(1\) |
\(0\) |
$1$ |
|
\(q-\zeta_{10}^{2}q^{2}+\zeta_{10}^{4}q^{4}-\zeta_{10}^{4}q^{5}+\cdots\) |
| 1640.1.dd.a |
$1640$ |
$1$ |
1640.dd |
1640.cd |
$20$ |
$8$ |
$1$ |
$0.818$ |
\(\Q(\zeta_{20})\) |
$D_{20}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
$1$ |
|
\(q-\zeta_{20}^{3}q^{2}+\zeta_{20}^{6}q^{4}+\zeta_{20}q^{5}+(\zeta_{20}^{3}+\cdots)q^{7}+\cdots\) |
| 1640.1.dd.b |
$1640$ |
$1$ |
1640.dd |
1640.cd |
$20$ |
$8$ |
$1$ |
$0.818$ |
\(\Q(\zeta_{20})\) |
$D_{20}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(2\) |
$1$ |
|
\(q+\zeta_{20}^{3}q^{2}+\zeta_{20}^{6}q^{4}-\zeta_{20}q^{5}+(-\zeta_{20}^{3}+\cdots)q^{7}+\cdots\) |
| 1760.1.cn.a |
$1760$ |
$1$ |
1760.cn |
440.ah |
$10$ |
$4$ |
$1$ |
$0.878$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(-1\) |
\(-3\) |
$1$ |
|
\(q-\zeta_{10}q^{5}+(-1+\zeta_{10})q^{7}+\zeta_{10}^{4}q^{9}+\cdots\) |
| 1760.1.cn.b |
$1760$ |
$1$ |
1760.cn |
440.ah |
$10$ |
$4$ |
$1$ |
$0.878$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(1\) |
\(3\) |
$1$ |
|
\(q+\zeta_{10}q^{5}+(1-\zeta_{10})q^{7}+\zeta_{10}^{4}q^{9}+\cdots\) |
