| Label |
Level |
Weight |
Char |
Prim |
Char order |
Dim |
Rel. Dim |
$A$ |
Field |
CM |
Self-dual |
Inner twists |
Rank* |
Traces |
Fricke sign |
Coefficient ring index |
Sato-Tate |
$q$-expansion |
| $a_{2}$ |
$a_{3}$ |
$a_{5}$ |
$a_{7}$ |
| 9.4.c.a |
$9$ |
$4$ |
9.c |
9.c |
$3$ |
$4$ |
$2$ |
$0.531$ |
\(\Q(\sqrt{-3}, \sqrt{-11})\) |
None |
|
$2$ |
$0$ |
\(-3\) |
\(-3\) |
\(-15\) |
\(-7\) |
|
$3$ |
$\mathrm{SU}(2)[C_{3}]$ |
\(q+(-\beta _{1}-\beta _{3})q^{2}+(-1+\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots\) |
| 7.5.d.a |
$7$ |
$5$ |
7.d |
7.d |
$6$ |
$4$ |
$2$ |
$0.724$ |
\(\Q(\sqrt{-3}, \sqrt{22})\) |
None |
|
$2$ |
$0$ |
\(-4\) |
\(6\) |
\(-30\) |
\(0\) |
|
$1$ |
$\mathrm{SU}(2)[C_{6}]$ |
\(q+(-2+\beta _{1}-2\beta _{2})q^{2}+(2-\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots\) |
| 7.6.c.a |
$7$ |
$6$ |
7.c |
7.c |
$3$ |
$4$ |
$2$ |
$1.123$ |
\(\Q(\sqrt{-3}, \sqrt{37})\) |
None |
|
$2$ |
$0$ |
\(-2\) |
\(8\) |
\(38\) |
\(-168\) |
|
$2^{2}$ |
$\mathrm{SU}(2)[C_{3}]$ |
\(q+(-\beta _{1}-\beta _{2})q^{2}+(4-4\beta _{1}-\beta _{2}-\beta _{3})q^{3}+\cdots\) |
| 5.7.c.a |
$5$ |
$7$ |
5.c |
5.c |
$4$ |
$4$ |
$2$ |
$1.150$ |
\(\Q(i, \sqrt{201})\) |
None |
|
$2$ |
$0$ |
\(-10\) |
\(30\) |
\(-70\) |
\(550\) |
|
$2$ |
$\mathrm{SU}(2)[C_{4}]$ |
\(q+(-2+2\beta _{1}+\beta _{3})q^{2}+(7+8\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots\) |
| 8.6.b.a |
$8$ |
$6$ |
8.b |
8.b |
$2$ |
$4$ |
$4$ |
$1.283$ |
4.0.218489.1 |
None |
|
$2$ |
$0$ |
\(-2\) |
\(0\) |
\(0\) |
\(96\) |
|
$2^{6}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+(-1-\beta _{1})q^{2}+(-\beta _{1}+\beta _{3})q^{3}+(5+\cdots)q^{4}+\cdots\) |
| 7.7.d.b |
$7$ |
$7$ |
7.d |
7.d |
$6$ |
$4$ |
$2$ |
$1.610$ |
\(\Q(\sqrt{2}, \sqrt{-3})\) |
None |
|
$2$ |
$0$ |
\(-8\) |
\(18\) |
\(-150\) |
\(280\) |
|
$3$ |
$\mathrm{SU}(2)[C_{6}]$ |
\(q+(-4-4\beta _{1}+\beta _{2}+\beta _{3})q^{2}+(6+3\beta _{1}+\cdots)q^{3}+\cdots\) |
| 8.7.d.b |
$8$ |
$7$ |
8.d |
8.d |
$2$ |
$4$ |
$4$ |
$1.840$ |
4.0.3803625.2 |
None |
|
$2$ |
$0$ |
\(2\) |
\(-48\) |
\(0\) |
\(0\) |
|
$2^{6}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+\beta _{1}q^{2}+(-13+2\beta _{1}+\beta _{2})q^{3}+(-12+\cdots)q^{4}+\cdots\) |
| 10.7.c.b |
$10$ |
$7$ |
10.c |
5.c |
$4$ |
$4$ |
$2$ |
$2.301$ |
\(\Q(i, \sqrt{129})\) |
None |
|
$2$ |
$0$ |
\(16\) |
\(-18\) |
\(330\) |
\(-202\) |
|
$2\cdot 5^{2}$ |
$\mathrm{SU}(2)[C_{4}]$ |
\(q+(4+4\beta _{1})q^{2}+(-5+4\beta _{1}-\beta _{3})q^{3}+\cdots\) |
| 4.11.b.a |
$4$ |
$11$ |
4.b |
4.b |
$2$ |
$4$ |
$4$ |
$2.541$ |
4.0.26777625.2 |
None |
|
$2$ |
$0$ |
\(-12\) |
\(0\) |
\(-1560\) |
\(0\) |
|
$2^{12}\cdot 3$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+(-3+\beta _{1})q^{2}+(-2\beta _{1}+\beta _{2})q^{3}+\cdots\) |
| 5.10.b.a |
$5$ |
$10$ |
5.b |
5.b |
$2$ |
$4$ |
$4$ |
$2.575$ |
4.0.49740556.1 |
None |
|
$2$ |
$0$ |
\(0\) |
\(0\) |
\(1140\) |
\(0\) |
|
$2^{5}\cdot 3^{2}\cdot 5^{2}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+\beta _{1}q^{2}+(-\beta _{1}+\beta _{2})q^{3}+(-342+\cdots)q^{4}+\cdots\) |
| 7.9.b.b |
$7$ |
$9$ |
7.b |
7.b |
$2$ |
$4$ |
$4$ |
$2.852$ |
\(\mathbb{Q}[x]/(x^{4} + \cdots)\) |
None |
|
$2$ |
$0$ |
\(32\) |
\(0\) |
\(0\) |
\(1428\) |
|
$2^{4}\cdot 3\cdot 7$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+(8+\beta _{3})q^{2}-\beta _{1}q^{3}+(-8+2^{4}\beta _{3})q^{4}+\cdots\) |
| 10.8.b.a |
$10$ |
$8$ |
10.b |
5.b |
$2$ |
$4$ |
$4$ |
$3.124$ |
\(\Q(i, \sqrt{31})\) |
None |
|
$2$ |
$0$ |
\(0\) |
\(0\) |
\(60\) |
\(0\) |
|
$2^{9}\cdot 5^{2}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q-\beta _{1}q^{2}+(3\beta _{1}-\beta _{3})q^{3}-2^{6}q^{4}+(15+\cdots)q^{5}+\cdots\) |
| 4.13.b.b |
$4$ |
$13$ |
4.b |
4.b |
$2$ |
$4$ |
$4$ |
$3.656$ |
4.0.8546467905.1 |
None |
|
$2$ |
$0$ |
\(108\) |
\(0\) |
\(-18360\) |
\(0\) |
|
$2^{12}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+(3^{3}+\beta _{1})q^{2}+(-\beta _{1}+\beta _{3})q^{3}+(-380+\cdots)q^{4}+\cdots\) |
| 3.15.b.a |
$3$ |
$15$ |
3.b |
3.b |
$2$ |
$4$ |
$4$ |
$3.730$ |
4.0.1929141760.2 |
None |
|
$2$ |
$0$ |
\(0\) |
\(2196\) |
\(0\) |
\(825608\) |
|
$2^{10}\cdot 3^{7}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+\beta _{1}q^{2}+(549+3\beta _{1}-\beta _{2})q^{3}+(-9824+\cdots)q^{4}+\cdots\) |
| 6.11.b.a |
$6$ |
$11$ |
6.b |
3.b |
$2$ |
$4$ |
$4$ |
$3.812$ |
\(\Q(\sqrt{-2}, \sqrt{85})\) |
None |
|
$2$ |
$0$ |
\(0\) |
\(84\) |
\(0\) |
\(-45112\) |
|
$2^{11}\cdot 3^{4}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+\beta _{1}q^{2}+(21-3\beta _{1}+\beta _{2})q^{3}-2^{9}q^{4}+\cdots\) |
| 5.12.b.a |
$5$ |
$12$ |
5.b |
5.b |
$2$ |
$4$ |
$4$ |
$3.842$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
|
$2$ |
$0$ |
\(0\) |
\(0\) |
\(-300\) |
\(0\) |
|
$2^{5}\cdot 3^{2}\cdot 5^{2}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+\beta _{1}q^{2}-\beta _{3}q^{3}+(-18-\beta _{2})q^{4}+\cdots\) |
| 10.9.c.a |
$10$ |
$9$ |
10.c |
5.c |
$4$ |
$4$ |
$2$ |
$4.074$ |
\(\Q(i, \sqrt{249})\) |
None |
|
$2$ |
$0$ |
\(-32\) |
\(54\) |
\(90\) |
\(-1186\) |
|
$2\cdot 5^{2}$ |
$\mathrm{SU}(2)[C_{4}]$ |
\(q+(-8+8\beta _{1})q^{2}+(13+13\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots\) |
| 10.9.c.b |
$10$ |
$9$ |
10.c |
5.c |
$4$ |
$4$ |
$2$ |
$4.074$ |
\(\Q(i, \sqrt{601})\) |
None |
|
$2$ |
$0$ |
\(32\) |
\(86\) |
\(-870\) |
\(5726\) |
|
$2\cdot 5^{2}$ |
$\mathrm{SU}(2)[C_{4}]$ |
\(q+(8+8\beta _{1})q^{2}+(22-21\beta _{1}+\beta _{3})q^{3}+\cdots\) |
| 7.11.b.b |
$7$ |
$11$ |
7.b |
7.b |
$2$ |
$4$ |
$4$ |
$4.448$ |
4.0.373770240.2 |
None |
|
$2$ |
$0$ |
\(-48\) |
\(0\) |
\(0\) |
\(4900\) |
|
$2^{7}\cdot 3\cdot 5\cdot 7$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+(-12+\beta _{2})q^{2}-\beta _{1}q^{3}+(-12^{2}+\cdots)q^{4}+\cdots\) |
| 3.17.b.a |
$3$ |
$17$ |
3.b |
3.b |
$2$ |
$4$ |
$4$ |
$4.870$ |
\(\mathbb{Q}[x]/(x^{4} + \cdots)\) |
None |
|
$2$ |
$0$ |
\(0\) |
\(-2052\) |
\(0\) |
\(-3141544\) |
|
$2^{6}\cdot 3^{8}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+\beta _{1}q^{2}+(-513+\beta _{1}+\beta _{2})q^{3}+(-3116+\cdots)q^{4}+\cdots\) |
| 10.10.b.a |
$10$ |
$10$ |
10.b |
5.b |
$2$ |
$4$ |
$4$ |
$5.150$ |
\(\Q(i, \sqrt{319})\) |
None |
|
$2$ |
$0$ |
\(0\) |
\(0\) |
\(-2580\) |
\(0\) |
|
$2^{10}\cdot 5^{2}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q-\beta _{1}q^{2}+(-5\beta _{1}-\beta _{3})q^{3}-2^{8}q^{4}+\cdots\) |
| 6.13.b.a |
$6$ |
$13$ |
6.b |
3.b |
$2$ |
$4$ |
$4$ |
$5.484$ |
\(\Q(\sqrt{-2}, \sqrt{1009})\) |
None |
|
$2$ |
$0$ |
\(0\) |
\(780\) |
\(0\) |
\(153080\) |
|
$2^{9}\cdot 3^{5}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q-\beta _{1}q^{2}+(195-\beta _{1}-\beta _{3})q^{3}-2^{11}q^{4}+\cdots\) |
| 9.11.b.a |
$9$ |
$11$ |
9.b |
3.b |
$2$ |
$4$ |
$4$ |
$5.718$ |
\(\Q(\sqrt{-2}, \sqrt{385})\) |
None |
|
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-44464\) |
|
$2\cdot 3^{10}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q-\beta _{1}q^{2}+(-1073-\beta _{2})q^{4}+(-35\beta _{1}+\cdots)q^{5}+\cdots\) |
| 3.19.b.b |
$3$ |
$19$ |
3.b |
3.b |
$2$ |
$4$ |
$4$ |
$6.162$ |
4.0.601940665.1 |
None |
|
$2$ |
$0$ |
\(0\) |
\(15876\) |
\(0\) |
\(-95744152\) |
|
$2^{11}\cdot 3^{11}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q-\beta _{1}q^{2}+(63^{2}+11\beta _{1}+\beta _{2})q^{3}+(-263384+\cdots)q^{4}+\cdots\) |
| 6.15.b.a |
$6$ |
$15$ |
6.b |
3.b |
$2$ |
$4$ |
$4$ |
$7.460$ |
\(\Q(\sqrt{-2}, \sqrt{-35})\) |
None |
|
$2$ |
$0$ |
\(0\) |
\(-3276\) |
\(0\) |
\(-1654072\) |
|
$2^{15}\cdot 3^{6}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q+\beta _{1}q^{2}+(-819-7\beta _{1}-\beta _{2})q^{3}+\cdots\) |
| 7.14.a.b |
$7$ |
$14$ |
7.a |
1.a |
$1$ |
$4$ |
$4$ |
$7.506$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$0$ |
\(-27\) |
\(336\) |
\(24192\) |
\(470596\) |
$-$ |
$2^{2}\cdot 3^{2}\cdot 7$ |
$\mathrm{SU}(2)$ |
\(q+(-7+\beta _{1})q^{2}+(84+\beta _{1}+\beta _{2})q^{3}+\cdots\) |
| 7.16.a.b |
$7$ |
$16$ |
7.a |
1.a |
$1$ |
$4$ |
$4$ |
$9.989$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$0$ |
\(93\) |
\(8554\) |
\(7770\) |
\(-3294172\) |
$+$ |
$2^{7}\cdot 3\cdot 5\cdot 7$ |
$\mathrm{SU}(2)$ |
\(q+(23+\beta _{1})q^{2}+(2138+3\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots\) |
| 9.15.b.a |
$9$ |
$15$ |
9.b |
3.b |
$2$ |
$4$ |
$4$ |
$11.190$ |
\(\Q(\sqrt{-2}, \sqrt{3745})\) |
None |
|
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-1065904\) |
|
$2\cdot 3^{10}$ |
$\mathrm{SU}(2)[C_{2}]$ |
\(q-\beta _{3}q^{2}+(-833-\beta _{2})q^{4}+(-7\beta _{1}+\cdots)q^{5}+\cdots\) |
| 5.20.a.b |
$5$ |
$20$ |
5.a |
1.a |
$1$ |
$4$ |
$4$ |
$11.441$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$0$ |
\(-420\) |
\(3080\) |
\(-7812500\) |
\(214021400\) |
$+$ |
$2^{8}\cdot 3^{2}\cdot 5^{2}$ |
$\mathrm{SU}(2)$ |
\(q+(-105-\beta _{1})q^{2}+(770+14\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots\) |
| 7.18.a.a |
$7$ |
$18$ |
7.a |
1.a |
$1$ |
$4$ |
$4$ |
$12.826$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$1$ |
\(186\) |
\(-2786\) |
\(274722\) |
\(-23059204\) |
$+$ |
$2^{8}\cdot 3^{2}\cdot 7$ |
$\mathrm{SU}(2)$ |
\(q+(46-\beta _{1})q^{2}+(-698-3\beta _{1}-\beta _{3})q^{3}+\cdots\) |
| 5.22.a.b |
$5$ |
$22$ |
5.a |
1.a |
$1$ |
$4$ |
$4$ |
$13.974$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$0$ |
\(2910\) |
\(83240\) |
\(39062500\) |
\(512613800\) |
$-$ |
$2^{6}\cdot 3\cdot 5^{2}\cdot 7$ |
$\mathrm{SU}(2)$ |
\(q+(728-\beta _{1})q^{2}+(20803+14\beta _{1}+\beta _{3})q^{3}+\cdots\) |
| 7.20.a.a |
$7$ |
$20$ |
7.a |
1.a |
$1$ |
$4$ |
$4$ |
$16.017$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$1$ |
\(-342\) |
\(-29526\) |
\(-2486610\) |
\(161414428\) |
$-$ |
$2^{5}\cdot 3^{2}\cdot 5\cdot 7$ |
$\mathrm{SU}(2)$ |
\(q+(-86+\beta _{1})q^{2}+(-7378-8\beta _{1}+\cdots)q^{3}+\cdots\) |
| 5.24.a.b |
$5$ |
$24$ |
5.a |
1.a |
$1$ |
$4$ |
$4$ |
$16.760$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$0$ |
\(-780\) |
\(-206680\) |
\(-195312500\) |
\(-1010710600\) |
$+$ |
$2^{8}\cdot 3\cdot 5^{2}$ |
$\mathrm{SU}(2)$ |
\(q+(-195-\beta _{1})q^{2}+(-51670-39\beta _{1}+\cdots)q^{3}+\cdots\) |
| 5.26.a.a |
$5$ |
$26$ |
5.a |
1.a |
$1$ |
$4$ |
$4$ |
$19.800$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$1$ |
\(600\) |
\(-798600\) |
\(-976562500\) |
\(-48938107000\) |
$+$ |
$2^{14}\cdot 3^{2}\cdot 5^{2}$ |
$\mathrm{SU}(2)$ |
\(q+(150-\beta _{1})q^{2}+(-199650+17\beta _{1}+\cdots)q^{3}+\cdots\) |
| 9.20.a.d |
$9$ |
$20$ |
9.a |
1.a |
$1$ |
$4$ |
$4$ |
$20.594$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(166272080\) |
$+$ |
$2^{9}\cdot 3^{10}\cdot 5^{2}$ |
$\mathrm{SU}(2)$ |
\(q+\beta _{1}q^{2}+(199132+\beta _{3})q^{4}+(-1304\beta _{1}+\cdots)q^{5}+\cdots\) |
| 5.28.a.a |
$5$ |
$28$ |
5.a |
1.a |
$1$ |
$4$ |
$4$ |
$23.093$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$1$ |
\(-11550\) |
\(-2473800\) |
\(4882812500\) |
\(-215015185000\) |
$-$ |
$2^{9}\cdot 3^{4}\cdot 5^{2}$ |
$\mathrm{SU}(2)$ |
\(q+(-2887+\beta _{1})q^{2}+(-618547-195\beta _{1}+\cdots)q^{3}+\cdots\) |
| 3.38.a.b |
$3$ |
$38$ |
3.a |
1.a |
$1$ |
$4$ |
$4$ |
$26.014$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$0$ |
\(437562\) |
\(1549681956\) |
\(-40\!\cdots\!04\) |
\(66\!\cdots\!84\) |
$-$ |
$2^{15}\cdot 3^{10}\cdot 5\cdot 7$ |
$\mathrm{SU}(2)$ |
\(q+(109391-\beta _{1})q^{2}+3^{18}q^{3}+(86524834843+\cdots)q^{4}+\cdots\) |
| 5.30.a.a |
$5$ |
$30$ |
5.a |
1.a |
$1$ |
$4$ |
$4$ |
$26.639$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$1$ |
\(-15600\) |
\(2712600\) |
\(-24414062500\) |
\(11\!\cdots\!00\) |
$+$ |
$2^{11}\cdot 3^{3}\cdot 5^{2}\cdot 7$ |
$\mathrm{SU}(2)$ |
\(q+(-3900+\beta _{1})q^{2}+(678150+50\beta _{1}+\cdots)q^{3}+\cdots\) |
| 9.24.a.d |
$9$ |
$24$ |
9.a |
1.a |
$1$ |
$4$ |
$4$ |
$30.168$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(8561438480\) |
$+$ |
$2^{9}\cdot 3^{10}\cdot 5^{4}$ |
$\mathrm{SU}(2)$ |
\(q+\beta _{1}q^{2}+(4777492+\beta _{3})q^{4}+(17070\beta _{1}+\cdots)q^{5}+\cdots\) |
| 3.42.a.b |
$3$ |
$42$ |
3.a |
1.a |
$1$ |
$4$ |
$4$ |
$31.942$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$0$ |
\(-69822\) |
\(13947137604\) |
\(11\!\cdots\!80\) |
\(15\!\cdots\!36\) |
$-$ |
$2^{13}\cdot 3^{10}\cdot 5^{2}$ |
$\mathrm{SU}(2)$ |
\(q+(-17455-\beta _{1})q^{2}+3^{20}q^{3}+(1338237117038+\cdots)q^{4}+\cdots\) |
| 3.44.a.b |
$3$ |
$44$ |
3.a |
1.a |
$1$ |
$4$ |
$4$ |
$35.133$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$0$ |
\(1660014\) |
\(-41841412812\) |
\(16\!\cdots\!20\) |
\(11\!\cdots\!28\) |
$+$ |
$2^{14}\cdot 3^{10}\cdot 5^{2}\cdot 7\cdot 11$ |
$\mathrm{SU}(2)$ |
\(q+(415003+\beta _{1})q^{2}-3^{21}q^{3}+(7333437011374+\cdots)q^{4}+\cdots\) |
| 9.26.a.d |
$9$ |
$26$ |
9.a |
1.a |
$1$ |
$4$ |
$4$ |
$35.640$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$2$ |
$1$ |
\(0\) |
\(0\) |
\(0\) |
\(-40689469840\) |
$+$ |
$2^{15}\cdot 3^{10}\cdot 5^{3}$ |
$\mathrm{SU}(2)$ |
\(q+\beta _{1}q^{2}+(34366048+\beta _{3})q^{4}+(-64017\beta _{1}+\cdots)q^{5}+\cdots\) |
| 8.28.a.b |
$8$ |
$28$ |
8.a |
1.a |
$1$ |
$4$ |
$4$ |
$36.948$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$0$ |
\(0\) |
\(-122512\) |
\(3544066168\) |
\(-211767036576\) |
$+$ |
$2^{42}\cdot 3^{5}\cdot 5$ |
$\mathrm{SU}(2)$ |
\(q+(-30628-\beta _{1})q^{3}+(886016542+\cdots)q^{5}+\cdots\) |
| 3.46.a.a |
$3$ |
$46$ |
3.a |
1.a |
$1$ |
$4$ |
$4$ |
$38.477$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$1$ |
\(-7019532\) |
\(-125524238436\) |
\(-28\!\cdots\!00\) |
\(-33\!\cdots\!44\) |
$+$ |
$2^{17}\cdot 3^{13}\cdot 5^{3}\cdot 7\cdot 11$ |
$\mathrm{SU}(2)$ |
\(q+(-1754883+\beta _{1})q^{2}-3^{22}q^{3}+\cdots\) |
| 3.46.a.b |
$3$ |
$46$ |
3.a |
1.a |
$1$ |
$4$ |
$4$ |
$38.477$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$0$ |
\(-4803318\) |
\(125524238436\) |
\(59\!\cdots\!56\) |
\(15\!\cdots\!24\) |
$-$ |
$2^{14}\cdot 3^{13}\cdot 5\cdot 7\cdot 11$ |
$\mathrm{SU}(2)$ |
\(q+(-1200829+\beta _{1})q^{2}+3^{22}q^{3}+\cdots\) |
| 9.28.a.e |
$9$ |
$28$ |
9.a |
1.a |
$1$ |
$4$ |
$4$ |
$41.567$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(676754928080\) |
$+$ |
$2^{10}\cdot 3^{14}\cdot 5^{2}$ |
$\mathrm{SU}(2)$ |
\(q+\beta _{1}q^{2}+(73205452+11\beta _{3})q^{4}+\cdots\) |
| 3.48.a.b |
$3$ |
$48$ |
3.a |
1.a |
$1$ |
$4$ |
$4$ |
$41.972$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$0$ |
\(12202326\) |
\(-376572715308\) |
\(38\!\cdots\!40\) |
\(-39\!\cdots\!08\) |
$+$ |
$2^{17}\cdot 3^{10}\cdot 5^{2}$ |
$\mathrm{SU}(2)$ |
\(q+(3050581+\beta _{1})q^{2}-3^{23}q^{3}+(48210021465679+\cdots)q^{4}+\cdots\) |
| 4.42.a.a |
$4$ |
$42$ |
4.a |
1.a |
$1$ |
$4$ |
$4$ |
$42.589$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$0$ |
\(0\) |
\(1162346640\) |
\(22\!\cdots\!24\) |
\(-40\!\cdots\!80\) |
$-$ |
$2^{45}\cdot 3^{8}\cdot 5\cdot 7$ |
$\mathrm{SU}(2)$ |
\(q+(290586660-\beta _{1})q^{3}+(55732604152806+\cdots)q^{5}+\cdots\) |
| 8.30.a.b |
$8$ |
$30$ |
8.a |
1.a |
$1$ |
$4$ |
$4$ |
$42.622$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$0$ |
\(0\) |
\(-5168176\) |
\(12397241176\) |
\(11\!\cdots\!36\) |
$-$ |
$2^{42}\cdot 3^{4}\cdot 5\cdot 7$ |
$\mathrm{SU}(2)$ |
\(q+(-1292044-\beta _{1})q^{3}+(3099310294+\cdots)q^{5}+\cdots\) |
| 3.50.a.a |
$3$ |
$50$ |
3.a |
1.a |
$1$ |
$4$ |
$4$ |
$45.620$ |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
✓ |
$1$ |
$1$ |
\(-6107508\) |
\(-11\!\cdots\!24\) |
\(-30\!\cdots\!64\) |
\(52\!\cdots\!44\) |
$+$ |
$2^{20}\cdot 3^{11}\cdot 5^{2}\cdot 7^{2}$ |
$\mathrm{SU}(2)$ |
\(q+(-1526877+\beta _{1})q^{2}-3^{24}q^{3}+\cdots\) |
