| 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 |
| $a_{2}$ |
$a_{3}$ |
$a_{5}$ |
$a_{7}$ |
| 1080.1.i.a |
$1080$ |
$1$ |
1080.i |
120.i |
$2$ |
$1$ |
$1$ |
$0.539$ |
\(\Q\) |
$D_{3}$ |
\(\Q(\sqrt{-30}) \) |
None |
✓ |
$2$ |
$0$ |
\(-1\) |
\(0\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+q^{11}+\cdots\) |
| 1080.1.i.b |
$1080$ |
$1$ |
1080.i |
120.i |
$2$ |
$1$ |
$1$ |
$0.539$ |
\(\Q\) |
$D_{3}$ |
\(\Q(\sqrt{-30}) \) |
None |
✓ |
$2$ |
$0$ |
\(-1\) |
\(0\) |
\(1\) |
\(0\) |
$1$ |
|
\(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-q^{11}+\cdots\) |
| 1080.1.i.c |
$1080$ |
$1$ |
1080.i |
120.i |
$2$ |
$1$ |
$1$ |
$0.539$ |
\(\Q\) |
$D_{3}$ |
\(\Q(\sqrt{-30}) \) |
None |
✓ |
$2$ |
$0$ |
\(1\) |
\(0\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+q^{11}+\cdots\) |
| 1080.1.i.d |
$1080$ |
$1$ |
1080.i |
120.i |
$2$ |
$1$ |
$1$ |
$0.539$ |
\(\Q\) |
$D_{3}$ |
\(\Q(\sqrt{-30}) \) |
None |
✓ |
$2$ |
$0$ |
\(1\) |
\(0\) |
\(1\) |
\(0\) |
$1$ |
|
\(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}-q^{11}+\cdots\) |
| 1320.1.cp.a |
$1320$ |
$1$ |
1320.cp |
1320.bp |
$10$ |
$4$ |
$1$ |
$0.659$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(-1\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q+\zeta_{10}^{2}q^{2}-\zeta_{10}q^{3}+\zeta_{10}^{4}q^{4}-\zeta_{10}^{3}q^{5}+\cdots\) |
| 1320.1.cp.b |
$1320$ |
$1$ |
1320.cp |
1320.bp |
$10$ |
$4$ |
$1$ |
$0.659$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(1\) |
\(1\) |
\(0\) |
$1$ |
|
\(q+\zeta_{10}^{2}q^{2}+\zeta_{10}q^{3}+\zeta_{10}^{4}q^{4}+\zeta_{10}^{3}q^{5}+\cdots\) |
| 1320.1.cp.c |
$1320$ |
$1$ |
1320.cp |
1320.bp |
$10$ |
$4$ |
$1$ |
$0.659$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(-1\) |
\(1\) |
\(0\) |
$1$ |
|
\(q-\zeta_{10}^{2}q^{2}-\zeta_{10}q^{3}+\zeta_{10}^{4}q^{4}+\zeta_{10}^{3}q^{5}+\cdots\) |
| 1320.1.cp.d |
$1320$ |
$1$ |
1320.cp |
1320.bp |
$10$ |
$4$ |
$1$ |
$0.659$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(1\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q-\zeta_{10}^{2}q^{2}+\zeta_{10}q^{3}+\zeta_{10}^{4}q^{4}-\zeta_{10}^{3}q^{5}+\cdots\) |
| 1560.1.y.e |
$1560$ |
$1$ |
1560.y |
1560.y |
$2$ |
$2$ |
$2$ |
$0.779$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-39}) \), \(\Q(\sqrt{-30}) \) |
\(\Q(\sqrt{130}) \) |
|
$8$ |
$0$ |
\(0\) |
\(-2\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-iq^{2}-q^{3}-q^{4}-iq^{5}+iq^{6}+iq^{8}+\cdots\) |
| 1560.1.y.f |
$1560$ |
$1$ |
1560.y |
1560.y |
$2$ |
$2$ |
$2$ |
$0.779$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-39}) \), \(\Q(\sqrt{-30}) \) |
\(\Q(\sqrt{130}) \) |
|
$8$ |
$0$ |
\(0\) |
\(2\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-iq^{2}+q^{3}-q^{4}+iq^{5}-iq^{6}+iq^{8}+\cdots\) |
| 1560.1.dk.a |
$1560$ |
$1$ |
1560.dk |
1560.ck |
$6$ |
$4$ |
$2$ |
$0.779$ |
\(\Q(\zeta_{12})\) |
$D_{6}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(-2\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+\zeta_{12}q^{2}+\zeta_{12}^{4}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{3}q^{5}+\cdots\) |
| 1560.1.dk.b |
$1560$ |
$1$ |
1560.dk |
1560.ck |
$6$ |
$4$ |
$2$ |
$0.779$ |
\(\Q(\zeta_{12})\) |
$D_{6}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(2\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-\zeta_{12}q^{2}-\zeta_{12}^{4}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{3}q^{5}+\cdots\) |
| 1560.1.du.a |
$1560$ |
$1$ |
1560.du |
1560.cu |
$6$ |
$2$ |
$1$ |
$0.779$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(-1\) |
\(2\) |
\(0\) |
$1$ |
|
\(q+\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+q^{5}+\cdots\) |
| 1560.1.du.b |
$1560$ |
$1$ |
1560.du |
1560.cu |
$6$ |
$2$ |
$1$ |
$0.779$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(1\) |
\(-2\) |
\(0\) |
$1$ |
|
\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-q^{5}+\cdots\) |
| 1560.1.du.c |
$1560$ |
$1$ |
1560.du |
1560.cu |
$6$ |
$2$ |
$1$ |
$0.779$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(-1\) |
\(-2\) |
\(0\) |
$1$ |
|
\(q-\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-q^{5}+\cdots\) |
| 1560.1.du.d |
$1560$ |
$1$ |
1560.du |
1560.cu |
$6$ |
$2$ |
$1$ |
$0.779$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(1\) |
\(2\) |
\(0\) |
$1$ |
|
\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+q^{5}+\cdots\) |
| 1800.1.u.a |
$1800$ |
$1$ |
1800.u |
40.i |
$4$ |
$4$ |
$2$ |
$0.898$ |
\(\Q(\zeta_{8})\) |
$D_{2}$ |
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-30}) \) |
\(\Q(\sqrt{2}) \) |
|
$16$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{8}-q^{16}+\cdots\) |
| 1920.1.i.a |
$1920$ |
$1$ |
1920.i |
120.i |
$2$ |
$1$ |
$1$ |
$0.958$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-30}) \) |
\(\Q(\sqrt{6}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(-1\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q-q^{3}-q^{5}+q^{9}+q^{15}-2q^{23}+q^{25}+\cdots\) |
| 1920.1.i.b |
$1920$ |
$1$ |
1920.i |
120.i |
$2$ |
$1$ |
$1$ |
$0.958$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-30}) \) |
\(\Q(\sqrt{6}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(-1\) |
\(1\) |
\(0\) |
$1$ |
|
\(q-q^{3}+q^{5}+q^{9}-q^{15}+2q^{23}+q^{25}+\cdots\) |
| 1920.1.i.c |
$1920$ |
$1$ |
1920.i |
120.i |
$2$ |
$1$ |
$1$ |
$0.958$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-30}) \) |
\(\Q(\sqrt{6}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(1\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q+q^{3}-q^{5}+q^{9}-q^{15}+2q^{23}+q^{25}+\cdots\) |
| 1920.1.i.d |
$1920$ |
$1$ |
1920.i |
120.i |
$2$ |
$1$ |
$1$ |
$0.958$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-30}) \) |
\(\Q(\sqrt{6}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(1\) |
\(1\) |
\(0\) |
$1$ |
|
\(q+q^{3}+q^{5}+q^{9}+q^{15}-2q^{23}+q^{25}+\cdots\) |
| 2040.1.v.e |
$2040$ |
$1$ |
2040.v |
2040.v |
$2$ |
$2$ |
$2$ |
$1.018$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-30}) \), \(\Q(\sqrt{-255}) \) |
\(\Q(\sqrt{34}) \) |
|
$8$ |
$0$ |
\(-2\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-q^{2}-iq^{3}+q^{4}-iq^{5}+iq^{6}-q^{8}+\cdots\) |
| 2040.1.v.f |
$2040$ |
$1$ |
2040.v |
2040.v |
$2$ |
$2$ |
$2$ |
$1.018$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-30}) \), \(\Q(\sqrt{-255}) \) |
\(\Q(\sqrt{34}) \) |
|
$8$ |
$0$ |
\(2\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+q^{2}-iq^{3}+q^{4}+iq^{5}-iq^{6}+q^{8}+\cdots\) |
| 2040.1.cj.a |
$2040$ |
$1$ |
2040.cj |
2040.bj |
$4$ |
$4$ |
$2$ |
$1.018$ |
\(\Q(\zeta_{8})\) |
$D_{4}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}-\zeta_{8}q^{5}-\zeta_{8}^{3}q^{6}+\cdots\) |
| 2040.1.cj.b |
$2040$ |
$1$ |
2040.cj |
2040.bj |
$4$ |
$4$ |
$2$ |
$1.018$ |
\(\Q(\zeta_{8})\) |
$D_{4}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}+\zeta_{8}q^{5}+\zeta_{8}^{3}q^{6}+\cdots\) |
| 2040.1.df.a |
$2040$ |
$1$ |
2040.df |
2040.cf |
$8$ |
$8$ |
$2$ |
$1.018$ |
\(\Q(\zeta_{16})\) |
$D_{8}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-\zeta_{16}^{6}q^{2}+\zeta_{16}^{5}q^{3}-\zeta_{16}^{4}q^{4}+\cdots\) |
| 2040.1.df.b |
$2040$ |
$1$ |
2040.df |
2040.cf |
$8$ |
$8$ |
$2$ |
$1.018$ |
\(\Q(\zeta_{16})\) |
$D_{8}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+\zeta_{16}^{6}q^{2}+\zeta_{16}^{5}q^{3}-\zeta_{16}^{4}q^{4}+\cdots\) |
| 2760.1.cm.a |
$2760$ |
$1$ |
2760.cm |
2760.bm |
$22$ |
$10$ |
$1$ |
$1.377$ |
\(\Q(\zeta_{22})\) |
$D_{11}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(-1\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q+\zeta_{22}^{8}q^{2}-\zeta_{22}^{9}q^{3}-\zeta_{22}^{5}q^{4}+\cdots\) |
| 2760.1.cm.b |
$2760$ |
$1$ |
2760.cm |
2760.bm |
$22$ |
$10$ |
$1$ |
$1.377$ |
\(\Q(\zeta_{22})\) |
$D_{11}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(1\) |
\(1\) |
\(0\) |
$1$ |
|
\(q+\zeta_{22}^{8}q^{2}+\zeta_{22}^{9}q^{3}-\zeta_{22}^{5}q^{4}+\cdots\) |
| 2760.1.cm.c |
$2760$ |
$1$ |
2760.cm |
2760.bm |
$22$ |
$10$ |
$1$ |
$1.377$ |
\(\Q(\zeta_{22})\) |
$D_{11}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(-1\) |
\(1\) |
\(0\) |
$1$ |
|
\(q-\zeta_{22}^{8}q^{2}-\zeta_{22}^{9}q^{3}-\zeta_{22}^{5}q^{4}+\cdots\) |
| 2760.1.cm.d |
$2760$ |
$1$ |
2760.cm |
2760.bm |
$22$ |
$10$ |
$1$ |
$1.377$ |
\(\Q(\zeta_{22})\) |
$D_{11}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(1\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q-\zeta_{22}^{8}q^{2}+\zeta_{22}^{9}q^{3}-\zeta_{22}^{5}q^{4}+\cdots\) |
| 2880.1.p.a |
$2880$ |
$1$ |
2880.p |
40.e |
$2$ |
$2$ |
$2$ |
$1.437$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-30}) \) |
\(\Q(\sqrt{5}) \) |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-iq^{5}-q^{11}-q^{25}-iq^{29}-iq^{31}+\cdots\) |
| 2880.1.p.b |
$2880$ |
$1$ |
2880.p |
40.e |
$2$ |
$2$ |
$2$ |
$1.437$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-30}) \) |
\(\Q(\sqrt{5}) \) |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-iq^{5}+q^{11}-q^{25}-iq^{29}+iq^{31}+\cdots\) |
| 3000.1.i.a |
$3000$ |
$1$ |
3000.i |
120.i |
$2$ |
$2$ |
$2$ |
$1.497$ |
\(\Q(\sqrt{5}) \) |
$D_{5}$ |
\(\Q(\sqrt{-30}) \) |
None |
✓ |
$2$ |
$0$ |
\(-2\) |
\(-2\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\) |
| 3000.1.i.b |
$3000$ |
$1$ |
3000.i |
120.i |
$2$ |
$2$ |
$2$ |
$1.497$ |
\(\Q(\sqrt{5}) \) |
$D_{5}$ |
\(\Q(\sqrt{-30}) \) |
None |
✓ |
$2$ |
$0$ |
\(-2\) |
\(2\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\) |
| 3000.1.i.c |
$3000$ |
$1$ |
3000.i |
120.i |
$2$ |
$2$ |
$2$ |
$1.497$ |
\(\Q(\sqrt{5}) \) |
$D_{5}$ |
\(\Q(\sqrt{-30}) \) |
None |
✓ |
$2$ |
$0$ |
\(2\) |
\(-2\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\) |
| 3000.1.i.d |
$3000$ |
$1$ |
3000.i |
120.i |
$2$ |
$2$ |
$2$ |
$1.497$ |
\(\Q(\sqrt{5}) \) |
$D_{5}$ |
\(\Q(\sqrt{-30}) \) |
None |
✓ |
$2$ |
$0$ |
\(2\) |
\(2\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\) |
| 3000.1.n.b |
$3000$ |
$1$ |
3000.n |
24.h |
$2$ |
$4$ |
$4$ |
$1.497$ |
\(\Q(i, \sqrt{5})\) |
$D_{5}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+\beta _{3}q^{2}+\beta _{3}q^{3}-q^{4}-q^{6}-\beta _{3}q^{8}+\cdots\) |
| 3000.1.n.c |
$3000$ |
$1$ |
3000.n |
24.h |
$2$ |
$4$ |
$4$ |
$1.497$ |
\(\Q(i, \sqrt{5})\) |
$D_{5}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-\beta _{3}q^{2}+\beta _{3}q^{3}-q^{4}+q^{6}+\beta _{3}q^{8}+\cdots\) |
| 3240.1.bh.a |
$3240$ |
$1$ |
3240.bh |
360.ah |
$6$ |
$2$ |
$1$ |
$1.617$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}+q^{8}+\cdots\) |
| 3240.1.bh.b |
$3240$ |
$1$ |
3240.bh |
360.ah |
$6$ |
$2$ |
$1$ |
$1.617$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(1\) |
\(0\) |
$1$ |
|
\(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}+q^{8}+\cdots\) |
| 3240.1.bh.c |
$3240$ |
$1$ |
3240.bh |
360.ah |
$6$ |
$2$ |
$1$ |
$1.617$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(0\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}-q^{8}+\cdots\) |
| 3240.1.bh.d |
$3240$ |
$1$ |
3240.bh |
360.ah |
$6$ |
$2$ |
$1$ |
$1.617$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(0\) |
\(1\) |
\(0\) |
$1$ |
|
\(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}-q^{8}+\cdots\) |
| 3480.1.g.e |
$3480$ |
$1$ |
3480.g |
3480.g |
$2$ |
$2$ |
$2$ |
$1.737$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-30}) \), \(\Q(\sqrt{-174}) \) |
\(\Q(\sqrt{145}) \) |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
$1$ |
|
\(q+iq^{2}-iq^{3}-q^{4}-q^{5}+q^{6}-iq^{8}+\cdots\) |
| 3480.1.g.f |
$3480$ |
$1$ |
3480.g |
3480.g |
$2$ |
$2$ |
$2$ |
$1.737$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-30}) \), \(\Q(\sqrt{-174}) \) |
\(\Q(\sqrt{145}) \) |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
$1$ |
|
\(q-iq^{2}-iq^{3}-q^{4}+q^{5}-q^{6}+iq^{8}+\cdots\) |
| 3480.1.dv.a |
$3480$ |
$1$ |
3480.dv |
3480.cv |
$14$ |
$6$ |
$1$ |
$1.737$ |
\(\Q(\zeta_{14})\) |
$D_{7}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(-1\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q-\zeta_{14}q^{2}-\zeta_{14}^{5}q^{3}+\zeta_{14}^{2}q^{4}-\zeta_{14}q^{5}+\cdots\) |
| 3480.1.dv.b |
$3480$ |
$1$ |
3480.dv |
3480.cv |
$14$ |
$6$ |
$1$ |
$1.737$ |
\(\Q(\zeta_{14})\) |
$D_{7}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(1\) |
\(1\) |
\(0\) |
$1$ |
|
\(q-\zeta_{14}q^{2}+\zeta_{14}^{5}q^{3}+\zeta_{14}^{2}q^{4}+\zeta_{14}q^{5}+\cdots\) |
| 3480.1.dv.c |
$3480$ |
$1$ |
3480.dv |
3480.cv |
$14$ |
$6$ |
$1$ |
$1.737$ |
\(\Q(\zeta_{14})\) |
$D_{7}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(-1\) |
\(1\) |
\(0\) |
$1$ |
|
\(q+\zeta_{14}q^{2}-\zeta_{14}^{5}q^{3}+\zeta_{14}^{2}q^{4}+\zeta_{14}q^{5}+\cdots\) |
| 3480.1.dv.d |
$3480$ |
$1$ |
3480.dv |
3480.cv |
$14$ |
$6$ |
$1$ |
$1.737$ |
\(\Q(\zeta_{14})\) |
$D_{7}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(1\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q+\zeta_{14}q^{2}+\zeta_{14}^{5}q^{3}+\zeta_{14}^{2}q^{4}-\zeta_{14}q^{5}+\cdots\) |
| 3480.1.ea.e |
$3480$ |
$1$ |
3480.ea |
3480.da |
$14$ |
$12$ |
$2$ |
$1.737$ |
\(\Q(\zeta_{28})\) |
$D_{14}$ |
\(\Q(\sqrt{-30}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
$1$ |
|
\(q-\zeta_{28}q^{2}-\zeta_{28}^{5}q^{3}+\zeta_{28}^{2}q^{4}+\zeta_{28}^{8}q^{5}+\cdots\) |
