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 |
56.504.16-28.a.1.1 |
56.504.16.612 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}9&6\\6&55\end{bmatrix}$, $\begin{bmatrix}9&28\\34&19\end{bmatrix}$, $\begin{bmatrix}13&8\\22&23\end{bmatrix}$, $\begin{bmatrix}19&46\\4&51\end{bmatrix}$, $\begin{bmatrix}33&26\\54&27\end{bmatrix}$, $\begin{bmatrix}53&6\\20&1\end{bmatrix}$ |
56.504.16-28.a.1.2 |
56.504.16.610 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}1&22\\30&27\end{bmatrix}$, $\begin{bmatrix}5&2\\48&9\end{bmatrix}$, $\begin{bmatrix}9&36\\26&47\end{bmatrix}$, $\begin{bmatrix}17&8\\8&53\end{bmatrix}$, $\begin{bmatrix}39&50\\18&17\end{bmatrix}$, $\begin{bmatrix}41&2\\16&29\end{bmatrix}$ |
56.504.16-28.a.1.3 |
56.504.16.606 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}23&30\\4&19\end{bmatrix}$, $\begin{bmatrix}23&54\\8&47\end{bmatrix}$, $\begin{bmatrix}41&38\\52&1\end{bmatrix}$, $\begin{bmatrix}45&36\\8&41\end{bmatrix}$, $\begin{bmatrix}47&18\\18&37\end{bmatrix}$, $\begin{bmatrix}55&0\\28&27\end{bmatrix}$ |
56.504.16-28.a.1.4 |
56.504.16.22 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}13&10\\10&43\end{bmatrix}$, $\begin{bmatrix}13&52\\38&15\end{bmatrix}$, $\begin{bmatrix}15&44\\16&35\end{bmatrix}$, $\begin{bmatrix}19&28\\22&37\end{bmatrix}$, $\begin{bmatrix}19&28\\28&47\end{bmatrix}$, $\begin{bmatrix}41&48\\48&17\end{bmatrix}$ |
56.504.16-28.a.1.5 |
56.504.16.23 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}7&18\\24&7\end{bmatrix}$, $\begin{bmatrix}19&4\\18&37\end{bmatrix}$, $\begin{bmatrix}33&52\\40&9\end{bmatrix}$, $\begin{bmatrix}41&2\\30&19\end{bmatrix}$, $\begin{bmatrix}45&2\\2&23\end{bmatrix}$, $\begin{bmatrix}51&22\\50&5\end{bmatrix}$ |
56.504.16-28.a.1.6 |
56.504.16.607 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}11&40\\40&47\end{bmatrix}$, $\begin{bmatrix}29&54\\54&51\end{bmatrix}$, $\begin{bmatrix}45&54\\54&39\end{bmatrix}$, $\begin{bmatrix}47&34\\48&23\end{bmatrix}$, $\begin{bmatrix}49&38\\46&35\end{bmatrix}$, $\begin{bmatrix}51&4\\46&49\end{bmatrix}$ |
56.504.16-28.a.1.7 |
56.504.16.611 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}19&54\\40&27\end{bmatrix}$, $\begin{bmatrix}23&24\\24&11\end{bmatrix}$, $\begin{bmatrix}23&28\\48&47\end{bmatrix}$, $\begin{bmatrix}31&18\\18&1\end{bmatrix}$, $\begin{bmatrix}43&18\\20&55\end{bmatrix}$, $\begin{bmatrix}49&26\\12&29\end{bmatrix}$ |
56.504.16-28.a.1.8 |
56.504.16.613 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}11&36\\4&3\end{bmatrix}$, $\begin{bmatrix}31&18\\4&15\end{bmatrix}$, $\begin{bmatrix}43&8\\50&25\end{bmatrix}$, $\begin{bmatrix}43&42\\24&27\end{bmatrix}$, $\begin{bmatrix}53&50\\18&3\end{bmatrix}$, $\begin{bmatrix}55&52\\8&43\end{bmatrix}$ |
56.504.16-28.a.1.9 |
56.504.16.20 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}3&50\\50&41\end{bmatrix}$, $\begin{bmatrix}17&32\\26&11\end{bmatrix}$, $\begin{bmatrix}19&30\\48&51\end{bmatrix}$, $\begin{bmatrix}27&28\\32&15\end{bmatrix}$, $\begin{bmatrix}27&30\\30&29\end{bmatrix}$, $\begin{bmatrix}31&44\\16&51\end{bmatrix}$ |
56.504.16-28.a.1.10 |
56.504.16.605 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}5&18\\46&31\end{bmatrix}$, $\begin{bmatrix}13&14\\14&27\end{bmatrix}$, $\begin{bmatrix}21&4\\38&35\end{bmatrix}$, $\begin{bmatrix}39&26\\28&31\end{bmatrix}$, $\begin{bmatrix}45&16\\28&53\end{bmatrix}$, $\begin{bmatrix}51&28\\20&47\end{bmatrix}$ |
56.504.16-28.a.1.11 |
56.504.16.602 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}11&26\\0&31\end{bmatrix}$, $\begin{bmatrix}23&46\\4&7\end{bmatrix}$, $\begin{bmatrix}29&54\\54&23\end{bmatrix}$, $\begin{bmatrix}33&12\\10&23\end{bmatrix}$, $\begin{bmatrix}33&34\\34&51\end{bmatrix}$, $\begin{bmatrix}43&2\\36&27\end{bmatrix}$ |
56.504.16-28.a.1.12 |
56.504.16.601 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}13&34\\20&17\end{bmatrix}$, $\begin{bmatrix}17&22\\36&41\end{bmatrix}$, $\begin{bmatrix}19&8\\36&43\end{bmatrix}$, $\begin{bmatrix}39&28\\26&17\end{bmatrix}$, $\begin{bmatrix}45&48\\6&35\end{bmatrix}$, $\begin{bmatrix}55&52\\38&29\end{bmatrix}$ |
56.504.16-28.a.1.13 |
56.504.16.603 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}7&10\\32&35\end{bmatrix}$, $\begin{bmatrix}19&52\\40&51\end{bmatrix}$, $\begin{bmatrix}21&44\\44&41\end{bmatrix}$, $\begin{bmatrix}27&32\\14&1\end{bmatrix}$, $\begin{bmatrix}33&4\\46&31\end{bmatrix}$, $\begin{bmatrix}43&34\\20&47\end{bmatrix}$ |
56.504.16-28.a.1.14 |
56.504.16.600 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}1&40\\26&55\end{bmatrix}$, $\begin{bmatrix}17&26\\12&25\end{bmatrix}$, $\begin{bmatrix}31&42\\28&3\end{bmatrix}$, $\begin{bmatrix}35&6\\48&39\end{bmatrix}$, $\begin{bmatrix}41&40\\20&1\end{bmatrix}$, $\begin{bmatrix}45&50\\36&25\end{bmatrix}$ |
56.504.16-28.a.1.15 |
56.504.16.604 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}19&42\\42&5\end{bmatrix}$, $\begin{bmatrix}31&34\\6&21\end{bmatrix}$, $\begin{bmatrix}43&16\\16&7\end{bmatrix}$, $\begin{bmatrix}45&28\\44&53\end{bmatrix}$, $\begin{bmatrix}49&50\\22&31\end{bmatrix}$, $\begin{bmatrix}53&14\\28&53\end{bmatrix}$ |
56.504.16-28.a.1.16 |
56.504.16.21 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}9&40\\22&19\end{bmatrix}$, $\begin{bmatrix}17&18\\26&11\end{bmatrix}$, $\begin{bmatrix}21&52\\38&23\end{bmatrix}$, $\begin{bmatrix}21&52\\38&51\end{bmatrix}$, $\begin{bmatrix}31&44\\28&11\end{bmatrix}$, $\begin{bmatrix}53&32\\32&37\end{bmatrix}$ |
56.504.16-28.a.1.17 |
56.504.16.24 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}1&46\\6&27\end{bmatrix}$, $\begin{bmatrix}3&48\\6&21\end{bmatrix}$, $\begin{bmatrix}11&0\\28&11\end{bmatrix}$, $\begin{bmatrix}15&6\\20&19\end{bmatrix}$, $\begin{bmatrix}53&10\\16&45\end{bmatrix}$, $\begin{bmatrix}55&24\\38&29\end{bmatrix}$ |
56.504.16-28.a.1.18 |
56.504.16.609 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}25&16\\52&45\end{bmatrix}$, $\begin{bmatrix}33&48\\2&23\end{bmatrix}$, $\begin{bmatrix}39&32\\18&37\end{bmatrix}$, $\begin{bmatrix}39&52\\38&13\end{bmatrix}$, $\begin{bmatrix}43&10\\0&55\end{bmatrix}$, $\begin{bmatrix}53&34\\20&1\end{bmatrix}$ |
56.504.16-28.a.1.19 |
56.504.16.617 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}17&32\\46&15\end{bmatrix}$, $\begin{bmatrix}27&2\\2&33\end{bmatrix}$, $\begin{bmatrix}35&18\\4&47\end{bmatrix}$, $\begin{bmatrix}45&26\\18&11\end{bmatrix}$, $\begin{bmatrix}49&10\\24&37\end{bmatrix}$, $\begin{bmatrix}55&40\\26&49\end{bmatrix}$ |
56.504.16-28.a.1.20 |
56.504.16.615 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}21&26\\26&43\end{bmatrix}$, $\begin{bmatrix}23&48\\6&41\end{bmatrix}$, $\begin{bmatrix}25&0\\26&31\end{bmatrix}$, $\begin{bmatrix}27&28\\46&1\end{bmatrix}$, $\begin{bmatrix}45&50\\36&53\end{bmatrix}$, $\begin{bmatrix}53&36\\8&21\end{bmatrix}$ |
56.504.16-28.a.1.21 |
56.504.16.616 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}9&2\\4&5\end{bmatrix}$, $\begin{bmatrix}37&54\\36&33\end{bmatrix}$, $\begin{bmatrix}41&12\\34&15\end{bmatrix}$, $\begin{bmatrix}55&2\\2&1\end{bmatrix}$, $\begin{bmatrix}55&16\\2&1\end{bmatrix}$, $\begin{bmatrix}55&18\\4&39\end{bmatrix}$ |
56.504.16-28.a.1.22 |
56.504.16.614 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}15&52\\28&27\end{bmatrix}$, $\begin{bmatrix}27&14\\14&13\end{bmatrix}$, $\begin{bmatrix}37&28\\48&33\end{bmatrix}$, $\begin{bmatrix}43&44\\2&49\end{bmatrix}$, $\begin{bmatrix}51&44\\16&43\end{bmatrix}$, $\begin{bmatrix}55&50\\52&15\end{bmatrix}$ |
56.504.16-28.a.1.23 |
56.504.16.608 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}15&24\\10&45\end{bmatrix}$, $\begin{bmatrix}15&28\\14&1\end{bmatrix}$, $\begin{bmatrix}17&22\\36&41\end{bmatrix}$, $\begin{bmatrix}17&36\\22&39\end{bmatrix}$, $\begin{bmatrix}21&34\\36&49\end{bmatrix}$, $\begin{bmatrix}23&0\\0&51\end{bmatrix}$ |
56.504.16-28.a.1.24 |
56.504.16.25 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{46}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}11&6\\34&45\end{bmatrix}$, $\begin{bmatrix}11&14\\28&11\end{bmatrix}$, $\begin{bmatrix}41&6\\54&43\end{bmatrix}$, $\begin{bmatrix}41&16\\2&19\end{bmatrix}$, $\begin{bmatrix}41&16\\16&33\end{bmatrix}$, $\begin{bmatrix}55&44\\44&15\end{bmatrix}$ |
56.504.16-56.a.1.1 |
56.504.16.213 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$9$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{64}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}1&18\\26&39\end{bmatrix}$, $\begin{bmatrix}3&38\\16&21\end{bmatrix}$, $\begin{bmatrix}11&28\\14&39\end{bmatrix}$, $\begin{bmatrix}29&6\\2&41\end{bmatrix}$, $\begin{bmatrix}55&0\\0&13\end{bmatrix}$ |
56.504.16-56.a.1.2 |
56.504.16.1 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$9$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{64}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}1&50\\24&21\end{bmatrix}$, $\begin{bmatrix}3&16\\48&1\end{bmatrix}$, $\begin{bmatrix}31&14\\4&25\end{bmatrix}$, $\begin{bmatrix}33&30\\6&31\end{bmatrix}$, $\begin{bmatrix}37&30\\6&35\end{bmatrix}$ |
56.504.16-56.a.1.3 |
56.504.16.193 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$9$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{64}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}9&26\\50&53\end{bmatrix}$, $\begin{bmatrix}15&18\\40&25\end{bmatrix}$, $\begin{bmatrix}25&4\\40&3\end{bmatrix}$, $\begin{bmatrix}33&12\\8&35\end{bmatrix}$, $\begin{bmatrix}53&22\\28&3\end{bmatrix}$ |
56.504.16-56.a.1.4 |
56.504.16.238 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$9$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{64}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}11&10\\16&15\end{bmatrix}$, $\begin{bmatrix}15&18\\12&25\end{bmatrix}$, $\begin{bmatrix}17&6\\42&53\end{bmatrix}$, $\begin{bmatrix}25&34\\18&47\end{bmatrix}$, $\begin{bmatrix}33&38\\16&23\end{bmatrix}$ |
56.504.16-56.a.1.5 |
56.504.16.214 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$9$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{64}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}5&14\\2&9\end{bmatrix}$, $\begin{bmatrix}29&2\\48&27\end{bmatrix}$, $\begin{bmatrix}29&44\\20&55\end{bmatrix}$, $\begin{bmatrix}39&42\\14&25\end{bmatrix}$, $\begin{bmatrix}43&24\\2&47\end{bmatrix}$ |
56.504.16-56.a.1.6 |
56.504.16.2 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$9$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{64}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}9&16\\20&35\end{bmatrix}$, $\begin{bmatrix}15&24\\2&19\end{bmatrix}$, $\begin{bmatrix}19&6\\46&13\end{bmatrix}$, $\begin{bmatrix}31&24\\2&49\end{bmatrix}$, $\begin{bmatrix}51&50\\2&5\end{bmatrix}$ |
56.504.16-56.a.1.7 |
56.504.16.194 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$9$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{64}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}1&4\\26&53\end{bmatrix}$, $\begin{bmatrix}7&40\\36&37\end{bmatrix}$, $\begin{bmatrix}25&16\\20&51\end{bmatrix}$, $\begin{bmatrix}31&54\\38&25\end{bmatrix}$, $\begin{bmatrix}55&32\\24&15\end{bmatrix}$ |
56.504.16-56.a.1.8 |
56.504.16.237 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$9$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{64}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}3&0\\0&17\end{bmatrix}$, $\begin{bmatrix}25&16\\46&31\end{bmatrix}$, $\begin{bmatrix}45&8\\52&23\end{bmatrix}$, $\begin{bmatrix}53&40\\44&45\end{bmatrix}$, $\begin{bmatrix}55&6\\4&49\end{bmatrix}$ |
56.504.16-56.a.1.9 |
56.504.16.239 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$9$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{64}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}7&26\\36&9\end{bmatrix}$, $\begin{bmatrix}15&26\\50&3\end{bmatrix}$, $\begin{bmatrix}23&18\\28&19\end{bmatrix}$, $\begin{bmatrix}37&16\\34&19\end{bmatrix}$, $\begin{bmatrix}53&14\\10&3\end{bmatrix}$ |
56.504.16-56.a.1.10 |
56.504.16.205 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$9$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{64}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}21&8\\10&41\end{bmatrix}$, $\begin{bmatrix}23&38\\44&27\end{bmatrix}$, $\begin{bmatrix}29&42\\6&41\end{bmatrix}$, $\begin{bmatrix}31&36\\52&23\end{bmatrix}$, $\begin{bmatrix}41&44\\6&39\end{bmatrix}$ |
56.504.16-56.a.1.11 |
56.504.16.5 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$9$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{64}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}25&50\\52&45\end{bmatrix}$, $\begin{bmatrix}39&34\\4&33\end{bmatrix}$, $\begin{bmatrix}47&48\\54&9\end{bmatrix}$, $\begin{bmatrix}47&54\\8&49\end{bmatrix}$, $\begin{bmatrix}55&18\\26&9\end{bmatrix}$ |
56.504.16-56.a.1.12 |
56.504.16.227 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$9$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{64}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}15&44\\14&27\end{bmatrix}$, $\begin{bmatrix}17&54\\52&39\end{bmatrix}$, $\begin{bmatrix}19&12\\50&21\end{bmatrix}$, $\begin{bmatrix}21&26\\20&35\end{bmatrix}$, $\begin{bmatrix}25&28\\42&53\end{bmatrix}$ |
56.504.16-56.a.1.13 |
56.504.16.257 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$9$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{64}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}11&4\\40&17\end{bmatrix}$, $\begin{bmatrix}21&24\\26&35\end{bmatrix}$, $\begin{bmatrix}23&50\\44&33\end{bmatrix}$, $\begin{bmatrix}45&2\\20&43\end{bmatrix}$, $\begin{bmatrix}51&52\\16&27\end{bmatrix}$ |
56.504.16-56.a.1.14 |
56.504.16.267 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$9$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{64}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}1&14\\6&55\end{bmatrix}$, $\begin{bmatrix}19&40\\50&21\end{bmatrix}$, $\begin{bmatrix}37&14\\14&51\end{bmatrix}$, $\begin{bmatrix}37&48\\18&3\end{bmatrix}$, $\begin{bmatrix}45&2\\40&11\end{bmatrix}$ |
56.504.16-56.a.1.15 |
56.504.16.7 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$9$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{64}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}1&14\\6&55\end{bmatrix}$, $\begin{bmatrix}1&52\\44&33\end{bmatrix}$, $\begin{bmatrix}25&10\\30&29\end{bmatrix}$, $\begin{bmatrix}39&38\\16&43\end{bmatrix}$, $\begin{bmatrix}43&48\\30&55\end{bmatrix}$ |
56.504.16-56.a.1.16 |
56.504.16.273 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$9$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$2^{64}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}1&20\\32&9\end{bmatrix}$, $\begin{bmatrix}3&2\\54&39\end{bmatrix}$, $\begin{bmatrix}13&10\\2&3\end{bmatrix}$, $\begin{bmatrix}31&48\\18&11\end{bmatrix}$, $\begin{bmatrix}51&34\\32&31\end{bmatrix}$ |
56.504.16-28.b.1.1 |
56.504.16.9 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$1$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$2^{30}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&8\\10&51\end{bmatrix}$, $\begin{bmatrix}15&32\\40&1\end{bmatrix}$, $\begin{bmatrix}33&8\\18&9\end{bmatrix}$, $\begin{bmatrix}41&36\\38&27\end{bmatrix}$, $\begin{bmatrix}41&48\\46&27\end{bmatrix}$, $\begin{bmatrix}43&44\\8&41\end{bmatrix}$, $\begin{bmatrix}45&52\\44&17\end{bmatrix}$ |
56.504.16-28.b.1.2 |
56.504.16.568 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$1$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$2^{30}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&4\\40&17\end{bmatrix}$, $\begin{bmatrix}15&16\\48&15\end{bmatrix}$, $\begin{bmatrix}17&28\\28&17\end{bmatrix}$, $\begin{bmatrix}23&8\\10&9\end{bmatrix}$, $\begin{bmatrix}29&32\\40&43\end{bmatrix}$, $\begin{bmatrix}35&12\\8&7\end{bmatrix}$, $\begin{bmatrix}43&8\\46&41\end{bmatrix}$ |
56.504.16-28.b.1.3 |
56.504.16.592 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$1$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$2^{30}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
✓ |
$\begin{bmatrix}19&24\\12&37\end{bmatrix}$, $\begin{bmatrix}21&48\\38&49\end{bmatrix}$, $\begin{bmatrix}25&32\\40&39\end{bmatrix}$, $\begin{bmatrix}33&0\\0&51\end{bmatrix}$, $\begin{bmatrix}39&32\\26&11\end{bmatrix}$, $\begin{bmatrix}41&52\\40&29\end{bmatrix}$, $\begin{bmatrix}45&32\\16&25\end{bmatrix}$ |
56.504.16-28.b.1.4 |
56.504.16.595 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$1$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$2^{30}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
✓ |
$\begin{bmatrix}21&36\\46&35\end{bmatrix}$, $\begin{bmatrix}25&8\\52&11\end{bmatrix}$, $\begin{bmatrix}27&16\\8&43\end{bmatrix}$, $\begin{bmatrix}29&16\\34&1\end{bmatrix}$, $\begin{bmatrix}33&12\\34&37\end{bmatrix}$, $\begin{bmatrix}43&24\\16&1\end{bmatrix}$, $\begin{bmatrix}47&28\\0&19\end{bmatrix}$ |
56.504.16-28.b.1.5 |
56.504.16.580 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$1$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$2^{30}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&44\\36&7\end{bmatrix}$, $\begin{bmatrix}27&24\\40&29\end{bmatrix}$, $\begin{bmatrix}27&40\\20&1\end{bmatrix}$, $\begin{bmatrix}29&4\\12&1\end{bmatrix}$, $\begin{bmatrix}31&28\\42&39\end{bmatrix}$, $\begin{bmatrix}31&48\\18&31\end{bmatrix}$, $\begin{bmatrix}55&12\\50&55\end{bmatrix}$ |
56.504.16-28.b.1.6 |
56.504.16.574 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$1$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$2^{30}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&32\\30&27\end{bmatrix}$, $\begin{bmatrix}19&0\\28&47\end{bmatrix}$, $\begin{bmatrix}19&24\\54&37\end{bmatrix}$, $\begin{bmatrix}33&28\\14&51\end{bmatrix}$, $\begin{bmatrix}45&4\\26&31\end{bmatrix}$, $\begin{bmatrix}53&16\\50&45\end{bmatrix}$, $\begin{bmatrix}53&32\\2&17\end{bmatrix}$ |
56.504.16-28.b.1.7 |
56.504.16.594 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$1$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$2^{30}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&20\\10&37\end{bmatrix}$, $\begin{bmatrix}19&44\\50&51\end{bmatrix}$, $\begin{bmatrix}27&48\\38&1\end{bmatrix}$, $\begin{bmatrix}29&48\\52&41\end{bmatrix}$, $\begin{bmatrix}31&24\\40&39\end{bmatrix}$, $\begin{bmatrix}53&20\\4&25\end{bmatrix}$, $\begin{bmatrix}55&52\\44&41\end{bmatrix}$ |
56.504.16-28.b.1.8 |
56.504.16.579 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$1$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$2^{30}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&48\\18&21\end{bmatrix}$, $\begin{bmatrix}9&4\\12&37\end{bmatrix}$, $\begin{bmatrix}9&32\\30&47\end{bmatrix}$, $\begin{bmatrix}15&32\\40&43\end{bmatrix}$, $\begin{bmatrix}17&0\\14&11\end{bmatrix}$, $\begin{bmatrix}21&32\\2&35\end{bmatrix}$, $\begin{bmatrix}31&0\\28&45\end{bmatrix}$ |
56.504.16-28.b.1.9 |
56.504.16.575 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$1$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$2^{30}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&16\\20&53\end{bmatrix}$, $\begin{bmatrix}17&44\\48&17\end{bmatrix}$, $\begin{bmatrix}29&40\\48&41\end{bmatrix}$, $\begin{bmatrix}33&44\\48&47\end{bmatrix}$, $\begin{bmatrix}35&32\\40&7\end{bmatrix}$, $\begin{bmatrix}37&12\\6&19\end{bmatrix}$, $\begin{bmatrix}43&8\\24&15\end{bmatrix}$ |
56.504.16-28.b.1.10 |
56.504.16.12 |
|
28C16 |
|
|
|
$56$ |
$504$ |
$16$ |
$1$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$2^{30}\cdot7^{32}$ |
|
|
|
$1^{4}\cdot2^{6}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&24\\40&11\end{bmatrix}$, $\begin{bmatrix}9&16\\20&23\end{bmatrix}$, $\begin{bmatrix}23&24\\54&5\end{bmatrix}$, $\begin{bmatrix}27&52\\16&27\end{bmatrix}$, $\begin{bmatrix}41&40\\20&1\end{bmatrix}$, $\begin{bmatrix}43&36\\10&43\end{bmatrix}$, $\begin{bmatrix}51&16\\34&37\end{bmatrix}$ |