Label |
Level |
Weight |
Char |
Prim |
Char order |
Dim |
Rel. Dim |
$A$ |
Field |
Image |
CM |
RM |
Self-dual |
Twist minimal |
Largest |
Maximal |
Minimal twist |
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 |
$2$ |
$2$ |
$2$ |
$0.639$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-5}) \) |
\(\Q(\sqrt{5}) \) |
|
|
✓ |
✓ |
80.1.h.a |
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$1$ |
|
\(q-i q^{5}+q^{9}-q^{25}-2 i q^{29}+2 q^{41}+\cdots\) |
1280.1.h.a |
$1280$ |
$1$ |
1280.h |
20.d |
$2$ |
$2$ |
$2$ |
$0.639$ |
\(\Q(\sqrt{2}) \) |
$D_{4}$ |
\(\Q(\sqrt{-5}) \) |
None |
✓ |
|
|
|
640.1.e.c |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
|
$1$ |
|
\(q-\beta q^{3}-q^{5}-\beta q^{7}+q^{9}+\beta q^{15}+\cdots\) |
1280.1.h.b |
$1280$ |
$1$ |
1280.h |
20.d |
$2$ |
$2$ |
$2$ |
$0.639$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-10}) \) |
\(\Q(\sqrt{10}) \) |
|
|
|
|
640.1.e.a |
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$1$ |
|
\(q-i q^{5}-q^{9}-2 i q^{13}-q^{25}-2 i q^{37}+\cdots\) |
1280.1.h.c |
$1280$ |
$1$ |
1280.h |
20.d |
$2$ |
$2$ |
$2$ |
$0.639$ |
\(\Q(\sqrt{2}) \) |
$D_{4}$ |
\(\Q(\sqrt{-5}) \) |
None |
✓ |
|
|
|
640.1.e.c |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
|
$1$ |
|
\(q-\beta q^{3}+q^{5}+\beta q^{7}+q^{9}-\beta q^{15}+\cdots\) |
1280.1.m.a |
$1280$ |
$1$ |
1280.m |
40.i |
$4$ |
$2$ |
$1$ |
$0.639$ |
\(\Q(\sqrt{-1}) \) |
$D_{4}$ |
\(\Q(\sqrt{-1}) \) |
None |
|
|
|
|
160.1.p.a |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
|
$1$ |
|
\(q-q^{5}+i q^{9}+(i-1)q^{13}+(i-1)q^{17}+\cdots\) |
1280.1.m.b |
$1280$ |
$1$ |
1280.m |
40.i |
$4$ |
$2$ |
$1$ |
$0.639$ |
\(\Q(\sqrt{-1}) \) |
$D_{4}$ |
\(\Q(\sqrt{-1}) \) |
None |
|
|
|
|
160.1.p.a |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
|
$1$ |
|
\(q+q^{5}+i q^{9}+(-i+1)q^{13}+(i-1)q^{17}+\cdots\) |
1280.1.p.a |
$1280$ |
$1$ |
1280.p |
5.c |
$4$ |
$2$ |
$1$ |
$0.639$ |
\(\Q(\sqrt{-1}) \) |
$D_{4}$ |
\(\Q(\sqrt{-1}) \) |
None |
|
|
|
|
640.1.m.a |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
|
$1$ |
|
\(q-q^{5}-i q^{9}+(i+1)q^{13}+(-i+1)q^{17}+\cdots\) |
1280.1.p.b |
$1280$ |
$1$ |
1280.p |
5.c |
$4$ |
$2$ |
$1$ |
$0.639$ |
\(\Q(\sqrt{-1}) \) |
$D_{4}$ |
\(\Q(\sqrt{-1}) \) |
None |
|
|
|
|
640.1.m.a |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
|
$1$ |
|
\(q+q^{5}-i q^{9}+(-i-1)q^{13}+(-i+1)q^{17}+\cdots\) |
1280.2.a.a |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{3}) \) |
$_{}$ |
None |
None |
✓ |
|
|
|
40.2.d.a |
$1$ |
$1$ |
\(0\) |
\(-2\) |
\(-2\) |
\(2\) |
$+$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+(-1+\beta )q^{3}-q^{5}+(1+\beta )q^{7}+(1+\cdots)q^{9}+\cdots\) |
1280.2.a.b |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{3}) \) |
$_{}$ |
None |
None |
✓ |
|
|
|
320.2.d.a |
$1$ |
$0$ |
\(0\) |
\(-2\) |
\(-2\) |
\(6\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+(-1+\beta )q^{3}-q^{5}+(3-\beta )q^{7}+(1+\cdots)q^{9}+\cdots\) |
1280.2.a.c |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{3}) \) |
$_{}$ |
None |
None |
✓ |
|
|
|
320.2.d.a |
$1$ |
$1$ |
\(0\) |
\(-2\) |
\(2\) |
\(-6\) |
$+$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+(-1+\beta )q^{3}+q^{5}+(-3+\beta )q^{7}+\cdots\) |
1280.2.a.d |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{3}) \) |
$_{}$ |
None |
None |
✓ |
|
|
|
40.2.d.a |
$1$ |
$1$ |
\(0\) |
\(-2\) |
\(2\) |
\(-2\) |
$+$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+(-1+\beta )q^{3}+q^{5}+(-1-\beta )q^{7}+\cdots\) |
1280.2.a.e |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{2}) \) |
$_{}$ |
None |
None |
✓ |
|
|
|
640.2.d.c |
$2$ |
$1$ |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
$+$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+\beta q^{3}-q^{5}-\beta q^{7}-q^{9}-2\beta q^{11}+\cdots\) |
1280.2.a.f |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{2}) \) |
$_{}$ |
None |
None |
✓ |
|
|
|
640.2.d.d |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+\beta q^{3}-q^{5}-3\beta q^{7}-q^{9}+4\beta q^{11}+\cdots\) |
1280.2.a.g |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{2}) \) |
$_{}$ |
None |
None |
✓ |
|
|
|
640.2.d.b |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+\beta q^{3}-q^{5}+3\beta q^{7}-q^{9}+2\beta q^{11}+\cdots\) |
1280.2.a.h |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{10}) \) |
$_{}$ |
None |
None |
✓ |
|
|
|
640.2.d.a |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+\beta q^{3}-q^{5}+\beta q^{7}+7q^{9}-6q^{13}+\cdots\) |
1280.2.a.i |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{2}) \) |
$_{}$ |
None |
None |
✓ |
|
|
|
640.2.d.b |
$2$ |
$1$ |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
$+$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+\beta q^{3}+q^{5}-3\beta q^{7}-q^{9}+2\beta q^{11}+\cdots\) |
1280.2.a.j |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{2}) \) |
$_{}$ |
None |
None |
✓ |
|
|
|
640.2.d.d |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+\beta q^{3}+q^{5}+3\beta q^{7}-q^{9}+4\beta q^{11}+\cdots\) |
1280.2.a.k |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{2}) \) |
$_{}$ |
None |
None |
✓ |
|
|
|
640.2.d.c |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+\beta q^{3}+q^{5}+\beta q^{7}-q^{9}-2\beta q^{11}+\cdots\) |
1280.2.a.l |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{10}) \) |
$_{}$ |
None |
None |
✓ |
|
|
|
640.2.d.a |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+\beta q^{3}+q^{5}-\beta q^{7}+7q^{9}+6q^{13}+\cdots\) |
1280.2.a.m |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{3}) \) |
$_{}$ |
None |
None |
✓ |
|
|
|
320.2.d.a |
$1$ |
$1$ |
\(0\) |
\(2\) |
\(-2\) |
\(-6\) |
$+$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+(1+\beta )q^{3}-q^{5}+(-3-\beta )q^{7}+(1+\cdots)q^{9}+\cdots\) |
1280.2.a.n |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{3}) \) |
$_{}$ |
None |
None |
✓ |
|
|
|
40.2.d.a |
$1$ |
$0$ |
\(0\) |
\(2\) |
\(-2\) |
\(-2\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+(1+\beta )q^{3}-q^{5}+(-1+\beta )q^{7}+(1+\cdots)q^{9}+\cdots\) |
1280.2.a.o |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{3}) \) |
$_{}$ |
None |
None |
✓ |
|
|
|
40.2.d.a |
$1$ |
$0$ |
\(0\) |
\(2\) |
\(2\) |
\(2\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+(1+\beta )q^{3}+q^{5}+(1-\beta )q^{7}+(1+2\beta )q^{9}+\cdots\) |
1280.2.a.p |
$1280$ |
$2$ |
1280.a |
1.a |
$1$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{3}) \) |
$_{}$ |
None |
None |
✓ |
|
|
|
320.2.d.a |
$1$ |
$0$ |
\(0\) |
\(2\) |
\(2\) |
\(6\) |
$-$ |
$1$ |
$\mathrm{SU}(2)$ |
\(q+(1+\beta )q^{3}+q^{5}+(3+\beta )q^{7}+(1+2\beta )q^{9}+\cdots\) |
1280.2.c.a |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
\(\Q(\sqrt{-1}) \) |
None |
|
|
|
|
640.2.f.a |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
|
$1$ |
$\mathrm{U}(1)[D_{2}]$ |
\(q+(i-2)q^{5}+3 q^{9}-6 i q^{13}+8 i q^{17}+\cdots\) |
1280.2.c.b |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-5}) \) |
$_{}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
|
|
|
320.2.f.a |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$1$ |
$\mathrm{U}(1)[D_{2}]$ |
\(q+\beta q^{5}-2\beta q^{7}+3q^{9}-2q^{11}-2\beta q^{13}+\cdots\) |
1280.2.c.c |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-5}) \) |
$_{}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
|
|
|
320.2.f.a |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$1$ |
$\mathrm{U}(1)[D_{2}]$ |
\(q+\beta q^{5}+2\beta q^{7}+3q^{9}+2q^{11}-2\beta q^{13}+\cdots\) |
1280.2.c.d |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
\(\Q(\sqrt{-1}) \) |
None |
|
|
|
|
640.2.f.a |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(4\) |
\(0\) |
|
$1$ |
$\mathrm{U}(1)[D_{2}]$ |
\(q+(i+2)q^{5}+3 q^{9}-6 i q^{13}-8 i q^{17}+\cdots\) |
1280.2.c.e |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(i, \sqrt{6})\) |
$_{}$ |
None |
None |
|
|
|
|
640.2.f.c |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
|
$2^{3}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+\beta _{2}q^{3}+(-1-\beta _{1})q^{5}+\beta _{2}q^{7}-3q^{9}+\cdots\) |
1280.2.c.f |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(\sqrt{-2}, \sqrt{5})\) |
$_{}$ |
\(\Q(\sqrt{-5}) \) |
None |
|
|
|
|
640.2.f.f |
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$2^{2}$ |
$\mathrm{U}(1)[D_{2}]$ |
\(q+\beta _{2}q^{3}+\beta _{3}q^{5}+3\beta _{1}q^{7}-7q^{9}+\cdots\) |
1280.2.c.g |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(\sqrt{-2}, \sqrt{3})\) |
$_{}$ |
None |
None |
|
|
|
|
320.2.f.b |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$2$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+\beta _{3}q^{3}+(-\beta _{1}+\beta _{2})q^{5}-\beta _{1}q^{7}+\cdots\) |
1280.2.c.h |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(\sqrt{-2}, \sqrt{3})\) |
$_{}$ |
None |
None |
|
|
|
|
320.2.f.b |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$2$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+\beta _{3}q^{3}+(\beta _{1}+\beta _{2})q^{5}-\beta _{1}q^{7}-3q^{9}+\cdots\) |
1280.2.c.i |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(\sqrt{-2}, \sqrt{3})\) |
$_{}$ |
None |
None |
|
|
|
|
40.2.f.a |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$2$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q-\beta _{1}q^{3}+(-\beta _{1}-\beta _{2})q^{5}+\beta _{3}q^{7}+\cdots\) |
1280.2.c.j |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(\sqrt{-2}, \sqrt{5})\) |
$_{}$ |
\(\Q(\sqrt{-5}) \) |
None |
|
|
|
|
640.2.f.e |
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$2^{2}$ |
$\mathrm{U}(1)[D_{2}]$ |
\(q-\beta _{1}q^{3}-\beta _{3}q^{5}-\beta _{2}q^{7}+q^{9}+\beta _{2}q^{15}+\cdots\) |
1280.2.c.k |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(\sqrt{-2}, \sqrt{3})\) |
$_{}$ |
None |
None |
|
|
|
|
40.2.f.a |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$2$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q-\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}+\beta _{3}q^{7}+q^{9}+\cdots\) |
1280.2.c.l |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(\sqrt{-2}, \sqrt{-5})\) |
$_{}$ |
\(\Q(\sqrt{-10}) \) |
None |
|
|
|
|
640.2.f.d |
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$2^{3}$ |
$\mathrm{U}(1)[D_{2}]$ |
\(q+\beta _{2}q^{5}-\beta _{1}q^{7}+3q^{9}-\beta _{3}q^{11}+\cdots\) |
1280.2.c.m |
$1280$ |
$2$ |
1280.c |
5.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(i, \sqrt{6})\) |
$_{}$ |
None |
None |
|
|
|
|
640.2.f.c |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(4\) |
\(0\) |
|
$2^{3}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+\beta _{2}q^{3}+(1+\beta _{1})q^{5}-\beta _{2}q^{7}-3q^{9}+\cdots\) |
1280.2.d.a |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
|
|
|
40.2.a.a |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-8\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+i q^{5}-4 q^{7}+3 q^{9}-4 i q^{11}+\cdots\) |
1280.2.d.b |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
|
|
|
160.2.a.a |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+2 i q^{3}+i q^{5}-2 q^{7}-q^{9}-4 i q^{11}+\cdots\) |
1280.2.d.c |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
|
|
|
20.2.a.a |
$2$ |
$1$ |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+2 i q^{3}-i q^{5}-2 q^{7}-q^{9}-2 i q^{13}+\cdots\) |
1280.2.d.d |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
|
|
|
640.2.a.c |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q-i q^{5}-2 q^{7}+3 q^{9}-6 i q^{11}+\cdots\) |
1280.2.d.e |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
|
|
|
640.2.a.a |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+2 i q^{3}+i q^{5}-q^{9}-2 i q^{11}+\cdots\) |
1280.2.d.f |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
|
|
|
640.2.a.a |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+2 i q^{3}-i q^{5}-q^{9}-2 i q^{11}+\cdots\) |
1280.2.d.g |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
|
|
|
20.2.a.a |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+2 i q^{3}+i q^{5}+2 q^{7}-q^{9}+2 i q^{13}+\cdots\) |
1280.2.d.h |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
|
|
|
160.2.a.a |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+2 i q^{3}-i q^{5}+2 q^{7}-q^{9}-4 i q^{11}+\cdots\) |
1280.2.d.i |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
|
|
|
640.2.a.c |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+i q^{5}+2 q^{7}+3 q^{9}-6 i q^{11}+\cdots\) |
1280.2.d.j |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$2$ |
$2$ |
$10.221$ |
\(\Q(\sqrt{-1}) \) |
$_{}$ |
None |
None |
|
|
|
|
40.2.a.a |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(8\) |
|
$1$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+i q^{5}+4 q^{7}+3 q^{9}+4 i q^{11}+\cdots\) |
1280.2.d.k |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(i, \sqrt{5})\) |
$_{}$ |
None |
None |
|
|
|
|
640.2.a.i |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
|
$2^{2}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+(-\beta _{1}+\beta _{2})q^{3}-\beta _{1}q^{5}+(-1-\beta _{3})q^{7}+\cdots\) |
1280.2.d.l |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(\zeta_{8})\) |
$_{}$ |
None |
None |
|
|
|
|
160.2.a.c |
$4$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
$2^{3}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+\beta_{2} q^{3}+\beta_1 q^{5}-\beta_{3} q^{7}-5 q^{9}+\cdots\) |
1280.2.d.m |
$1280$ |
$2$ |
1280.d |
8.b |
$2$ |
$4$ |
$4$ |
$10.221$ |
\(\Q(i, \sqrt{5})\) |
$_{}$ |
None |
None |
|
|
|
|
640.2.a.i |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
|
$2^{2}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+(-\beta _{1}+\beta _{2})q^{3}+\beta _{1}q^{5}+(1+\beta _{3})q^{7}+\cdots\) |