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 |
$a_{2}$ |
$a_{3}$ |
$a_{5}$ |
$a_{7}$ |
1280.1.e.a |
$1280$ |
$1$ |
1280.e |
40.e |
$2$ |
$2$ |
$2$ |
$0.639$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-5}) \) |
\(\Q(\sqrt{5}) \) |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$1$ |
|
\(q-iq^{5}+q^{9}-q^{25}-iq^{29}+q^{41}+\cdots\) |
1280.1.h.a |
$1280$ |
$1$ |
1280.h |
20.d |
$2$ |
$2$ |
$2$ |
$0.639$ |
\(\Q(\sqrt{2}) \) |
$D_{4}$ |
\(\Q(\sqrt{-5}) \) |
None |
✓ |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
|
$1$ |
|
\(q-\beta q^{3}-q^{5}-\beta q^{7}+q^{9}+\beta q^{15}+\cdots\) |
1280.1.h.b |
$1280$ |
$1$ |
1280.h |
20.d |
$2$ |
$2$ |
$2$ |
$0.639$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-10}) \) |
\(\Q(\sqrt{10}) \) |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$1$ |
|
\(q-iq^{5}-q^{9}-iq^{13}-q^{25}-iq^{37}+\cdots\) |
1280.1.h.c |
$1280$ |
$1$ |
1280.h |
20.d |
$2$ |
$2$ |
$2$ |
$0.639$ |
\(\Q(\sqrt{2}) \) |
$D_{4}$ |
\(\Q(\sqrt{-5}) \) |
None |
✓ |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
|
$1$ |
|
\(q-\beta q^{3}+q^{5}+\beta q^{7}+q^{9}-\beta q^{15}+\cdots\) |
1280.1.m.a |
$1280$ |
$1$ |
1280.m |
40.i |
$4$ |
$2$ |
$1$ |
$0.639$ |
\(\Q(\sqrt{-1}) \) |
$D_{4}$ |
\(\Q(\sqrt{-1}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
|
$1$ |
|
\(q-q^{5}+iq^{9}+(-1+i)q^{13}+(-1+\cdots)q^{17}+\cdots\) |
1280.1.m.b |
$1280$ |
$1$ |
1280.m |
40.i |
$4$ |
$2$ |
$1$ |
$0.639$ |
\(\Q(\sqrt{-1}) \) |
$D_{4}$ |
\(\Q(\sqrt{-1}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
|
$1$ |
|
\(q+q^{5}+iq^{9}+(1-i)q^{13}+(-1+i+\cdots)q^{17}+\cdots\) |
1280.1.p.a |
$1280$ |
$1$ |
1280.p |
5.c |
$4$ |
$2$ |
$1$ |
$0.639$ |
\(\Q(\sqrt{-1}) \) |
$D_{4}$ |
\(\Q(\sqrt{-1}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
|
$1$ |
|
\(q-q^{5}-iq^{9}+(1+i)q^{13}+(1-i)q^{17}+\cdots\) |
1280.1.p.b |
$1280$ |
$1$ |
1280.p |
5.c |
$4$ |
$2$ |
$1$ |
$0.639$ |
\(\Q(\sqrt{-1}) \) |
$D_{4}$ |
\(\Q(\sqrt{-1}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
|
$1$ |
|
\(q+q^{5}-iq^{9}+(-1-i)q^{13}+(1-i+\cdots)q^{17}+\cdots\) |
1280.2.a.a |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{3}) \) |
$_{}$ |
None |
None |
✓ |
$1$ |
$1$ |
\(0\) |
\(-2\) |
\(-2\) |
\(2\) |
$+$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+(-1+\beta )q^{3}-q^{5}+(1+\beta )q^{7}+(1+\cdots)q^{9}+\cdots\) |
1280.2.a.b |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{3}) \) |
$_{}$ |
None |
None |
✓ |
$1$ |
$0$ |
\(0\) |
\(-2\) |
\(-2\) |
\(6\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+(-1+\beta )q^{3}-q^{5}+(3-\beta )q^{7}+(1+\cdots)q^{9}+\cdots\) |
1280.2.a.c |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{3}) \) |
$_{}$ |
None |
None |
✓ |
$1$ |
$1$ |
\(0\) |
\(-2\) |
\(2\) |
\(-6\) |
$+$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+(-1+\beta )q^{3}+q^{5}+(-3+\beta )q^{7}+\cdots\) |
1280.2.a.d |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{3}) \) |
$_{}$ |
None |
None |
✓ |
$1$ |
$1$ |
\(0\) |
\(-2\) |
\(2\) |
\(-2\) |
$+$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+(-1+\beta )q^{3}+q^{5}+(-1-\beta )q^{7}+\cdots\) |
1280.2.a.e |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{2}) \) |
$_{}$ |
None |
None |
✓ |
$2$ |
$1$ |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
$+$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+\beta q^{3}-q^{5}-\beta q^{7}-q^{9}-2\beta q^{11}+\cdots\) |
1280.2.a.f |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{2}) \) |
$_{}$ |
None |
None |
✓ |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+\beta q^{3}-q^{5}-3\beta q^{7}-q^{9}+4\beta q^{11}+\cdots\) |
1280.2.a.g |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{2}) \) |
$_{}$ |
None |
None |
✓ |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+\beta q^{3}-q^{5}+3\beta q^{7}-q^{9}+2\beta q^{11}+\cdots\) |
1280.2.a.h |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{10}) \) |
$_{}$ |
None |
None |
✓ |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+\beta q^{3}-q^{5}+\beta q^{7}+7q^{9}-6q^{13}+\cdots\) |
1280.2.a.i |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{2}) \) |
$_{}$ |
None |
None |
✓ |
$2$ |
$1$ |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
$+$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+\beta q^{3}+q^{5}-3\beta q^{7}-q^{9}+2\beta q^{11}+\cdots\) |
1280.2.a.j |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{2}) \) |
$_{}$ |
None |
None |
✓ |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+\beta q^{3}+q^{5}+3\beta q^{7}-q^{9}+4\beta q^{11}+\cdots\) |
1280.2.a.k |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{2}) \) |
$_{}$ |
None |
None |
✓ |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+\beta q^{3}+q^{5}+\beta q^{7}-q^{9}-2\beta q^{11}+\cdots\) |
1280.2.a.l |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{10}) \) |
$_{}$ |
None |
None |
✓ |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+\beta q^{3}+q^{5}-\beta q^{7}+7q^{9}+6q^{13}+\cdots\) |
1280.2.a.m |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{3}) \) |
$_{}$ |
None |
None |
✓ |
$1$ |
$1$ |
\(0\) |
\(2\) |
\(-2\) |
\(-6\) |
$+$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+(1+\beta )q^{3}-q^{5}+(-3-\beta )q^{7}+(1+\cdots)q^{9}+\cdots\) |
1280.2.a.n |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{3}) \) |
$_{}$ |
None |
None |
✓ |
$1$ |
$0$ |
\(0\) |
\(2\) |
\(-2\) |
\(-2\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+(1+\beta )q^{3}-q^{5}+(-1+\beta )q^{7}+(1+\cdots)q^{9}+\cdots\) |
1280.2.a.o |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{3}) \) |
$_{}$ |
None |
None |
✓ |
$1$ |
$0$ |
\(0\) |
\(2\) |
\(2\) |
\(2\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+(1+\beta )q^{3}+q^{5}+(1-\beta )q^{7}+(1+2\beta )q^{9}+\cdots\) |
1280.2.a.p |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{3}) \) |
$_{}$ |
None |
None |
✓ |
$1$ |
$0$ |
\(0\) |
\(2\) |
\(2\) |
\(6\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+(1+\beta )q^{3}+q^{5}+(3+\beta )q^{7}+(1+2\beta )q^{9}+\cdots\) |
1280.2.c.a |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
\(\Q(\sqrt{-1}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
|
$1$ |
$\mathrm{U}(1)[D_{2}]$ |
\(q+(-2+i)q^{5}+3q^{9}-6iq^{13}+8iq^{17}+\cdots\) |
1280.2.c.b |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-5}) \) |
$_{}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$1$ |
$\mathrm{U}(1)[D_{2}]$ |
\(q+\beta q^{5}-2\beta q^{7}+3q^{9}-2q^{11}-2\beta q^{13}+\cdots\) |
1280.2.c.c |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-5}) \) |
$_{}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$1$ |
$\mathrm{U}(1)[D_{2}]$ |
\(q+\beta q^{5}+2\beta q^{7}+3q^{9}+2q^{11}-2\beta q^{13}+\cdots\) |
1280.2.c.d |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
\(\Q(\sqrt{-1}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(4\) |
\(0\) |
|
$1$ |
$\mathrm{U}(1)[D_{2}]$ |
\(q+(2+i)q^{5}+3q^{9}-6iq^{13}-8iq^{17}+\cdots\) |
1280.2.c.e |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(i, \sqrt{6})\) |
$_{}$ |
None |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
|
$2^{3}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+\beta _{2}q^{3}+(-1-\beta _{1})q^{5}+\beta _{2}q^{7}-3q^{9}+\cdots\) |
1280.2.c.f |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(\sqrt{-2}, \sqrt{5})\) |
$_{}$ |
\(\Q(\sqrt{-5}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$2^{2}$ |
$\mathrm{U}(1)[D_{2}]$ |
\(q+\beta _{2}q^{3}+\beta _{3}q^{5}+3\beta _{1}q^{7}-7q^{9}+\cdots\) |
1280.2.c.g |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(\sqrt{-2}, \sqrt{3})\) |
$_{}$ |
None |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$2$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+\beta _{3}q^{3}+(-\beta _{1}+\beta _{2})q^{5}-\beta _{1}q^{7}+\cdots\) |
1280.2.c.h |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(\sqrt{-2}, \sqrt{3})\) |
$_{}$ |
None |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$2$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+\beta _{3}q^{3}+(\beta _{1}+\beta _{2})q^{5}-\beta _{1}q^{7}-3q^{9}+\cdots\) |
1280.2.c.i |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(\sqrt{-2}, \sqrt{3})\) |
$_{}$ |
None |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$2$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q-\beta _{1}q^{3}+(-\beta _{1}-\beta _{2})q^{5}+\beta _{3}q^{7}+\cdots\) |
1280.2.c.j |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(\sqrt{-2}, \sqrt{5})\) |
$_{}$ |
\(\Q(\sqrt{-5}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$2^{2}$ |
$\mathrm{U}(1)[D_{2}]$ |
\(q-\beta _{1}q^{3}-\beta _{3}q^{5}-\beta _{2}q^{7}+q^{9}+\beta _{2}q^{15}+\cdots\) |
1280.2.c.k |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(\sqrt{-2}, \sqrt{3})\) |
$_{}$ |
None |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$2$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q-\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}+\beta _{3}q^{7}+q^{9}+\cdots\) |
1280.2.c.l |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(\sqrt{-2}, \sqrt{-5})\) |
$_{}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$2^{3}$ |
$\mathrm{U}(1)[D_{2}]$ |
\(q+\beta _{2}q^{5}-\beta _{1}q^{7}+3q^{9}-\beta _{3}q^{11}+\cdots\) |
1280.2.c.m |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(i, \sqrt{6})\) |
$_{}$ |
None |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(4\) |
\(0\) |
|
$2^{3}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+\beta _{2}q^{3}+(1+\beta _{1})q^{5}-\beta _{2}q^{7}-3q^{9}+\cdots\) |
1280.2.d.a |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-8\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+iq^{5}-4q^{7}+3q^{9}-4iq^{11}+2iq^{13}+\cdots\) |
1280.2.d.b |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+2iq^{3}+iq^{5}-2q^{7}-q^{9}-4iq^{11}+\cdots\) |
1280.2.d.c |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
$2$ |
$1$ |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+2iq^{3}-iq^{5}-2q^{7}-q^{9}-2iq^{13}+\cdots\) |
1280.2.d.d |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q-iq^{5}-2q^{7}+3q^{9}-6iq^{11}+2iq^{13}+\cdots\) |
1280.2.d.e |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+2iq^{3}+iq^{5}-q^{9}-2iq^{11}+2iq^{13}+\cdots\) |
1280.2.d.f |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+2iq^{3}-iq^{5}-q^{9}-2iq^{11}-2iq^{13}+\cdots\) |
1280.2.d.g |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+2iq^{3}+iq^{5}+2q^{7}-q^{9}+2iq^{13}+\cdots\) |
1280.2.d.h |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+2iq^{3}-iq^{5}+2q^{7}-q^{9}-4iq^{11}+\cdots\) |
1280.2.d.i |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+iq^{5}+2q^{7}+3q^{9}-6iq^{11}-2iq^{13}+\cdots\) |
1280.2.d.j |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(8\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+iq^{5}+4q^{7}+3q^{9}+4iq^{11}+2iq^{13}+\cdots\) |
1280.2.d.k |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(i, \sqrt{5})\) |
$_{}$ |
None |
None |
|
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
|
$2^{2}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+(-\beta _{1}+\beta _{2})q^{3}-\beta _{1}q^{5}+(-1-\beta _{3})q^{7}+\cdots\) |
1280.2.d.l |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(\zeta_{8})\) |
$_{}$ |
None |
None |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$2^{3}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+\zeta_{8}^{2}q^{3}+\zeta_{8}q^{5}-\zeta_{8}^{3}q^{7}-5q^{9}+\cdots\) |
1280.2.d.m |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(i, \sqrt{5})\) |
$_{}$ |
None |
None |
|
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
|
$2^{2}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+(-\beta _{1}+\beta _{2})q^{3}+\beta _{1}q^{5}+(1+\beta _{3})q^{7}+\cdots\) |