| Label |
RSZB label |
RZB label |
CP label |
SZ label |
S label |
Name |
Level |
Index |
Genus |
Rank |
$\Q$-gonality |
Cusps |
$\Q$-cusps |
CM points |
Conductor |
Simple |
Squarefree |
Contains -1 |
Decomposition |
Models |
$j$-points |
Local obstruction |
$\operatorname{GL}_2(\mathbb{Z}/N\mathbb{Z})$-generators |
| 16.384.21.j.1 |
16.384.21.47 |
|
16C21 |
|
|
$X_{\mathrm{sp}}(16)$ |
$16$ |
$384$ |
$21$ |
$4$ |
$8$ |
$24$ |
$4$ |
|
$2^{142}$ |
|
|
✓ |
$1^{19}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}3&0\\0&7\end{bmatrix}$, $\begin{bmatrix}5&0\\0&13\end{bmatrix}$, $\begin{bmatrix}7&0\\0&9\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$ |
| 16.384.21.j.2 |
16.384.21.46 |
|
16C21 |
|
|
|
$16$ |
$384$ |
$21$ |
$4$ |
$8$ |
$24$ |
$2$ |
|
$2^{142}$ |
|
|
✓ |
$1^{19}\cdot2$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&14\\0&15\end{bmatrix}$, $\begin{bmatrix}3&12\\0&7\end{bmatrix}$, $\begin{bmatrix}7&4\\0&3\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$ |
| 16.384.21.j.3 |
16.384.21.48 |
|
16C21 |
|
|
|
$16$ |
$384$ |
$21$ |
$4$ |
$8$ |
$24$ |
$0$ |
|
$2^{142}$ |
|
|
✓ |
$1^{19}\cdot2$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}5&2\\8&15\end{bmatrix}$, $\begin{bmatrix}7&2\\0&1\end{bmatrix}$, $\begin{bmatrix}11&2\\0&5\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$ |
| 16.384.21.bh.1 |
16.384.21.35 |
|
16C21 |
|
|
|
$16$ |
$384$ |
$21$ |
$5$ |
$8$ |
$24$ |
$0$ |
|
$2^{142}$ |
|
|
✓ |
$1^{19}\cdot2$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}5&15\\0&11\end{bmatrix}$, $\begin{bmatrix}7&0\\8&15\end{bmatrix}$, $\begin{bmatrix}15&7\\6&1\end{bmatrix}$ |
| 16.384.21.bi.1 |
16.384.21.50 |
|
16C21 |
|
|
|
$16$ |
$384$ |
$21$ |
$5$ |
$8$ |
$24$ |
$0$ |
|
$2^{142}$ |
|
|
✓ |
$1^{19}\cdot2$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}0&13\\5&0\end{bmatrix}$, $\begin{bmatrix}5&0\\0&7\end{bmatrix}$, $\begin{bmatrix}7&0\\0&7\end{bmatrix}$ |
| 16.384.21.bp.1 |
16.384.21.37 |
|
16C21 |
|
|
|
$16$ |
$384$ |
$21$ |
$5$ |
$8$ |
$24$ |
$0$ |
|
$2^{142}$ |
|
|
✓ |
$1^{19}\cdot2$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}0&1\\1&0\end{bmatrix}$, $\begin{bmatrix}0&3\\11&0\end{bmatrix}$, $\begin{bmatrix}0&15\\3&0\end{bmatrix}$ |
| 16.384.21.bs.1 |
16.384.21.54 |
|
16C21 |
|
|
|
$16$ |
$384$ |
$21$ |
$6$ |
$8$ |
$24$ |
$0$ |
|
$2^{142}$ |
|
|
✓ |
$1^{19}\cdot2$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}0&13\\7&0\end{bmatrix}$, $\begin{bmatrix}5&0\\0&13\end{bmatrix}$, $\begin{bmatrix}13&0\\0&11\end{bmatrix}$ |
| 16.768.21-16.j.1.1 |
16.768.21.234 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$4$ |
$8$ |
$24$ |
$4$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}5&0\\0&3\end{bmatrix}$, $\begin{bmatrix}7&0\\0&3\end{bmatrix}$, $\begin{bmatrix}7&0\\0&9\end{bmatrix}$ |
| 16.768.21-16.j.1.2 |
16.768.21.276 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$4$ |
$8$ |
$24$ |
$4$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}7&0\\0&3\end{bmatrix}$, $\begin{bmatrix}7&0\\0&9\end{bmatrix}$, $\begin{bmatrix}13&0\\0&5\end{bmatrix}$ |
| 16.768.21-16.j.1.3 |
16.768.21.221 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$4$ |
$8$ |
$24$ |
$4$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}7&0\\0&9\end{bmatrix}$, $\begin{bmatrix}13&0\\0&5\end{bmatrix}$, $\begin{bmatrix}15&0\\0&5\end{bmatrix}$ |
| 16.768.21-16.j.1.4 |
16.768.21.250 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$4$ |
$8$ |
$24$ |
$4$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}5&0\\0&3\end{bmatrix}$, $\begin{bmatrix}7&0\\0&9\end{bmatrix}$, $\begin{bmatrix}15&0\\0&5\end{bmatrix}$ |
| 16.768.21-16.j.2.1 |
16.768.21.233 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$4$ |
$8$ |
$24$ |
$2$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}7&4\\0&3\end{bmatrix}$, $\begin{bmatrix}13&4\\0&9\end{bmatrix}$, $\begin{bmatrix}15&10\\0&9\end{bmatrix}$ |
| 16.768.21-16.j.2.2 |
16.768.21.237 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$4$ |
$8$ |
$24$ |
$2$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}1&6\\0&7\end{bmatrix}$, $\begin{bmatrix}3&12\\0&7\end{bmatrix}$, $\begin{bmatrix}9&12\\0&13\end{bmatrix}$ |
| 16.768.21-16.j.2.3 |
16.768.21.272 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$4$ |
$8$ |
$24$ |
$2$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}1&6\\0&7\end{bmatrix}$, $\begin{bmatrix}3&12\\0&7\end{bmatrix}$, $\begin{bmatrix}7&4\\0&3\end{bmatrix}$ |
| 16.768.21-16.j.2.4 |
16.768.21.225 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$4$ |
$8$ |
$24$ |
$2$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}9&12\\0&13\end{bmatrix}$, $\begin{bmatrix}13&4\\0&9\end{bmatrix}$, $\begin{bmatrix}15&10\\0&9\end{bmatrix}$ |
| 16.768.21-16.j.2.5 |
16.768.21.253 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$4$ |
$8$ |
$24$ |
$2$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}3&12\\0&7\end{bmatrix}$, $\begin{bmatrix}9&12\\0&13\end{bmatrix}$, $\begin{bmatrix}15&10\\0&9\end{bmatrix}$ |
| 16.768.21-16.j.2.6 |
16.768.21.249 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$4$ |
$8$ |
$24$ |
$2$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}1&6\\0&7\end{bmatrix}$, $\begin{bmatrix}7&4\\0&3\end{bmatrix}$, $\begin{bmatrix}13&4\\0&9\end{bmatrix}$ |
| 16.768.21-16.j.2.7 |
16.768.21.222 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$4$ |
$8$ |
$24$ |
$2$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}1&6\\0&7\end{bmatrix}$, $\begin{bmatrix}9&12\\0&13\end{bmatrix}$, $\begin{bmatrix}13&4\\0&9\end{bmatrix}$ |
| 16.768.21-16.j.2.8 |
16.768.21.275 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$4$ |
$8$ |
$24$ |
$2$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}3&12\\0&7\end{bmatrix}$, $\begin{bmatrix}7&4\\0&3\end{bmatrix}$, $\begin{bmatrix}15&10\\0&9\end{bmatrix}$ |
| 16.768.21-16.j.3.1 |
16.768.21.238 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$4$ |
$8$ |
$24$ |
$0$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$0$ |
? |
$\begin{bmatrix}3&6\\8&1\end{bmatrix}$, $\begin{bmatrix}7&2\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\8&11\end{bmatrix}$ |
| 16.768.21-16.j.3.2 |
16.768.21.271 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$4$ |
$8$ |
$24$ |
$0$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$0$ |
? |
$\begin{bmatrix}3&6\\8&1\end{bmatrix}$, $\begin{bmatrix}7&4\\8&11\end{bmatrix}$, $\begin{bmatrix}9&14\\0&15\end{bmatrix}$ |
| 16.768.21-16.j.3.3 |
16.768.21.226 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$4$ |
$8$ |
$24$ |
$0$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$0$ |
? |
$\begin{bmatrix}5&2\\8&15\end{bmatrix}$, $\begin{bmatrix}5&14\\0&11\end{bmatrix}$, $\begin{bmatrix}9&14\\0&15\end{bmatrix}$ |
| 16.768.21-16.j.3.4 |
16.768.21.254 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$4$ |
$8$ |
$24$ |
$0$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$0$ |
? |
$\begin{bmatrix}5&2\\8&15\end{bmatrix}$, $\begin{bmatrix}5&14\\0&11\end{bmatrix}$, $\begin{bmatrix}7&2\\0&1\end{bmatrix}$ |
| 16.768.21-16.bi.1.1 |
16.768.21.277 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$5$ |
$8$ |
$24$ |
$0$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$0$ |
? |
$\begin{bmatrix}0&1\\11&0\end{bmatrix}$, $\begin{bmatrix}0&3\\11&0\end{bmatrix}$ |
| 16.768.21-16.bi.1.2 |
16.768.21.280 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$5$ |
$8$ |
$24$ |
$0$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$0$ |
? |
$\begin{bmatrix}0&3\\1&0\end{bmatrix}$, $\begin{bmatrix}0&7\\15&0\end{bmatrix}$ |
| 16.768.21-16.bp.1.1 |
16.768.21.209 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$5$ |
$8$ |
$24$ |
$0$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$0$ |
? |
$\begin{bmatrix}0&13\\1&0\end{bmatrix}$, $\begin{bmatrix}13&0\\0&1\end{bmatrix}$ |
| 16.768.21-16.bp.1.2 |
16.768.21.228 |
|
16C21 |
|
|
|
$16$ |
$768$ |
$21$ |
$5$ |
$8$ |
$24$ |
$0$ |
|
$2^{142}$ |
|
|
|
$1^{19}\cdot2$ |
|
$0$ |
? |
$\begin{bmatrix}0&3\\7&0\end{bmatrix}$, $\begin{bmatrix}3&0\\0&15\end{bmatrix}$ |
| 32.384.21.a.1 |
32.384.21.74 |
|
32E21 |
|
|
|
$32$ |
$384$ |
$21$ |
$8$ |
$8$ |
$24$ |
$0$ |
|
$2^{186}$ |
|
|
✓ |
$1^{7}\cdot2^{3}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&30\\30&27\end{bmatrix}$, $\begin{bmatrix}15&0\\24&23\end{bmatrix}$, $\begin{bmatrix}19&0\\16&3\end{bmatrix}$, $\begin{bmatrix}23&20\\28&11\end{bmatrix}$ |
| 32.384.21.a.2 |
32.384.21.73 |
|
32E21 |
|
|
|
$32$ |
$384$ |
$21$ |
$8$ |
$8$ |
$24$ |
$0$ |
|
$2^{186}$ |
|
|
✓ |
$1^{7}\cdot2^{3}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&16\\8&1\end{bmatrix}$, $\begin{bmatrix}19&6\\22&21\end{bmatrix}$, $\begin{bmatrix}21&10\\2&11\end{bmatrix}$, $\begin{bmatrix}21&28\\12&25\end{bmatrix}$ |
| 32.384.21.b.1 |
32.384.21.106 |
|
32E21 |
|
|
|
$32$ |
$384$ |
$21$ |
$8$ |
$8$ |
$24$ |
$0$ |
|
$2^{184}$ |
|
|
✓ |
$1^{7}\cdot2^{3}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&0\\0&3\end{bmatrix}$, $\begin{bmatrix}3&16\\12&7\end{bmatrix}$, $\begin{bmatrix}15&30\\6&1\end{bmatrix}$ |
| 32.384.21.b.2 |
32.384.21.105 |
|
32E21 |
|
|
|
$32$ |
$384$ |
$21$ |
$8$ |
$8$ |
$24$ |
$0$ |
|
$2^{184}$ |
|
|
✓ |
$1^{7}\cdot2^{3}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&0\\28&23\end{bmatrix}$, $\begin{bmatrix}17&30\\22&3\end{bmatrix}$, $\begin{bmatrix}23&16\\0&23\end{bmatrix}$ |
| 32.384.21.c.1 |
32.384.21.184 |
|
16E21 |
|
|
|
$32$ |
$384$ |
$21$ |
$15$ |
$8$ |
$24$ |
$0$ |
|
$2^{186}$ |
|
|
✓ |
$1^{7}\cdot2^{3}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&20\\14&31\end{bmatrix}$, $\begin{bmatrix}5&10\\8&17\end{bmatrix}$, $\begin{bmatrix}7&0\\18&25\end{bmatrix}$, $\begin{bmatrix}19&28\\0&27\end{bmatrix}$ |
| 32.384.21.d.1 |
32.384.21.185 |
|
16E21 |
|
|
|
$32$ |
$384$ |
$21$ |
$7$ |
$8$ |
$24$ |
$0$ |
|
$2^{186}$ |
|
|
✓ |
$1^{7}\cdot2^{3}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&26\\8&3\end{bmatrix}$, $\begin{bmatrix}7&28\\18&25\end{bmatrix}$, $\begin{bmatrix}19&26\\2&29\end{bmatrix}$, $\begin{bmatrix}19&26\\18&29\end{bmatrix}$ |
| 32.384.21.e.1 |
32.384.21.210 |
|
16D21 |
|
|
|
$32$ |
$384$ |
$21$ |
$15$ |
$8$ |
$24$ |
$0$ |
|
$2^{185}$ |
|
|
✓ |
$1^{9}\cdot2^{2}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&18\\10&31\end{bmatrix}$, $\begin{bmatrix}3&18\\6&29\end{bmatrix}$, $\begin{bmatrix}5&6\\28&25\end{bmatrix}$, $\begin{bmatrix}7&12\\8&15\end{bmatrix}$ |
| 32.384.21.f.1 |
32.384.21.211 |
|
16D21 |
|
|
|
$32$ |
$384$ |
$21$ |
$7$ |
$8$ |
$24$ |
$0$ |
|
$2^{185}$ |
|
|
✓ |
$1^{9}\cdot2^{2}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&30\\28&9\end{bmatrix}$, $\begin{bmatrix}15&26\\20&3\end{bmatrix}$, $\begin{bmatrix}29&0\\2&3\end{bmatrix}$, $\begin{bmatrix}31&12\\8&23\end{bmatrix}$ |
| 32.384.21.i.1 |
32.384.21.205 |
|
16D21 |
|
|
|
$32$ |
$384$ |
$21$ |
$17$ |
$8$ |
$24$ |
$0$ |
✓ |
$2^{185}$ |
|
|
✓ |
$1^{9}\cdot2^{2}\cdot4^{2}$ |
|
$0$ |
|
$\begin{bmatrix}9&12\\26&23\end{bmatrix}$, $\begin{bmatrix}15&22\\10&17\end{bmatrix}$, $\begin{bmatrix}25&22\\14&7\end{bmatrix}$, $\begin{bmatrix}31&22\\26&1\end{bmatrix}$ |
| 32.384.21.j.1 |
32.384.21.206 |
|
16D21 |
|
|
|
$32$ |
$384$ |
$21$ |
$9$ |
$8$ |
$24$ |
$0$ |
|
$2^{185}$ |
|
|
✓ |
$1^{9}\cdot2^{2}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&24\\30&29\end{bmatrix}$, $\begin{bmatrix}5&14\\20&1\end{bmatrix}$, $\begin{bmatrix}27&0\\14&5\end{bmatrix}$, $\begin{bmatrix}29&10\\22&19\end{bmatrix}$ |
| 32.384.21.m.1 |
32.384.21.212 |
|
32D21 |
|
|
|
$32$ |
$384$ |
$21$ |
$9$ |
$8$ |
$24$ |
$0$ |
|
$2^{185}$ |
|
|
✓ |
$1^{9}\cdot2^{2}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}15&26\\20&27\end{bmatrix}$, $\begin{bmatrix}19&2\\6&13\end{bmatrix}$, $\begin{bmatrix}25&2\\26&7\end{bmatrix}$, $\begin{bmatrix}31&4\\26&17\end{bmatrix}$ |
| 32.384.21.o.1 |
32.384.21.199 |
|
32D21 |
|
|
|
$32$ |
$384$ |
$21$ |
$7$ |
$8$ |
$24$ |
$0$ |
|
$2^{185}$ |
|
|
✓ |
$1^{9}\cdot2^{2}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&26\\18&29\end{bmatrix}$, $\begin{bmatrix}17&4\\10&31\end{bmatrix}$, $\begin{bmatrix}17&20\\24&25\end{bmatrix}$, $\begin{bmatrix}25&14\\12&13\end{bmatrix}$ |
| 32.384.21.p.1 |
32.384.21.207 |
|
32D21 |
|
|
|
$32$ |
$384$ |
$21$ |
$11$ |
$8$ |
$24$ |
$0$ |
✓ |
$2^{185}$ |
|
|
✓ |
$1^{9}\cdot2^{2}\cdot4^{2}$ |
|
$0$ |
|
$\begin{bmatrix}3&0\\0&3\end{bmatrix}$, $\begin{bmatrix}13&26\\14&19\end{bmatrix}$, $\begin{bmatrix}27&22\\20&7\end{bmatrix}$, $\begin{bmatrix}31&28\\6&17\end{bmatrix}$ |
| 32.384.21.q.1 |
32.384.21.202 |
|
32D21 |
|
|
|
$32$ |
$384$ |
$21$ |
$9$ |
$8$ |
$24$ |
$0$ |
|
$2^{185}$ |
|
|
✓ |
$1^{9}\cdot2^{2}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&16\\26&13\end{bmatrix}$, $\begin{bmatrix}9&26\\12&29\end{bmatrix}$, $\begin{bmatrix}11&26\\12&31\end{bmatrix}$, $\begin{bmatrix}31&14\\4&27\end{bmatrix}$ |
| 32.384.21.r.1 |
32.384.21.182 |
|
16E21 |
|
|
|
$32$ |
$384$ |
$21$ |
$11$ |
$8$ |
$24$ |
$0$ |
|
$2^{186}$ |
|
|
✓ |
$1^{7}\cdot2^{3}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&20\\0&25\end{bmatrix}$, $\begin{bmatrix}5&24\\6&11\end{bmatrix}$, $\begin{bmatrix}15&10\\10&17\end{bmatrix}$, $\begin{bmatrix}23&16\\2&25\end{bmatrix}$ |
| 32.384.21.s.1 |
32.384.21.183 |
|
16E21 |
|
|
|
$32$ |
$384$ |
$21$ |
$3$ |
$8$ |
$24$ |
$0$ |
|
$2^{186}$ |
|
|
✓ |
$1^{7}\cdot2^{3}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&8\\16&23\end{bmatrix}$, $\begin{bmatrix}7&20\\10&9\end{bmatrix}$, $\begin{bmatrix}9&6\\30&7\end{bmatrix}$, $\begin{bmatrix}13&20\\0&5\end{bmatrix}$ |
| 32.384.21.t.1 |
32.384.21.208 |
|
16D21 |
|
|
|
$32$ |
$384$ |
$21$ |
$11$ |
$8$ |
$24$ |
$0$ |
|
$2^{185}$ |
|
|
✓ |
$1^{9}\cdot2^{2}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&24\\18&11\end{bmatrix}$, $\begin{bmatrix}9&14\\30&23\end{bmatrix}$, $\begin{bmatrix}11&6\\12&23\end{bmatrix}$, $\begin{bmatrix}21&2\\4&25\end{bmatrix}$ |
| 32.384.21.u.1 |
32.384.21.209 |
|
16D21 |
|
|
|
$32$ |
$384$ |
$21$ |
$3$ |
$8$ |
$24$ |
$0$ |
|
$2^{185}$ |
|
|
✓ |
$1^{9}\cdot2^{2}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&4\\22&7\end{bmatrix}$, $\begin{bmatrix}17&30\\2&31\end{bmatrix}$, $\begin{bmatrix}25&6\\12&13\end{bmatrix}$, $\begin{bmatrix}27&24\\26&21\end{bmatrix}$ |
| 32.384.21.x.1 |
32.384.21.203 |
|
16D21 |
|
|
|
$32$ |
$384$ |
$21$ |
$13$ |
$8$ |
$24$ |
$0$ |
|
$2^{185}$ |
|
|
✓ |
$1^{9}\cdot2^{2}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&14\\18&25\end{bmatrix}$, $\begin{bmatrix}9&24\\0&25\end{bmatrix}$, $\begin{bmatrix}15&16\\16&15\end{bmatrix}$, $\begin{bmatrix}27&22\\4&7\end{bmatrix}$ |
| 32.384.21.y.1 |
32.384.21.204 |
|
16D21 |
|
|
|
$32$ |
$384$ |
$21$ |
$5$ |
$8$ |
$24$ |
$0$ |
|
$2^{185}$ |
|
|
✓ |
$1^{9}\cdot2^{2}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&20\\26&5\end{bmatrix}$, $\begin{bmatrix}15&28\\18&1\end{bmatrix}$, $\begin{bmatrix}19&8\\16&3\end{bmatrix}$, $\begin{bmatrix}19&26\\6&29\end{bmatrix}$ |
| 32.384.21.be.1 |
32.384.21.193 |
|
32D21 |
|
|
|
$32$ |
$384$ |
$21$ |
$9$ |
$8$ |
$24$ |
$0$ |
|
$2^{185}$ |
|
|
✓ |
$1^{9}\cdot2^{2}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&6\\18&29\end{bmatrix}$, $\begin{bmatrix}11&22\\12&31\end{bmatrix}$, $\begin{bmatrix}17&22\\30&31\end{bmatrix}$ |
| 32.384.21.bf.1 |
32.384.21.196 |
|
32D21 |
|
|
|
$32$ |
$384$ |
$21$ |
$7$ |
$8$ |
$24$ |
$0$ |
|
$2^{185}$ |
|
|
✓ |
$1^{9}\cdot2^{2}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&14\\12&25\end{bmatrix}$, $\begin{bmatrix}9&20\\14&15\end{bmatrix}$, $\begin{bmatrix}11&8\\16&27\end{bmatrix}$ |
| 32.384.21.bi.1 |
32.384.21.194 |
|
32D21 |
|
|
|
$32$ |
$384$ |
$21$ |
$11$ |
$8$ |
$24$ |
$0$ |
|
$2^{185}$ |
|
|
✓ |
$1^{9}\cdot2^{2}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&20\\24&11\end{bmatrix}$, $\begin{bmatrix}21&18\\12&9\end{bmatrix}$, $\begin{bmatrix}29&0\\30&11\end{bmatrix}$ |
