| 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 |
| 56.5376.193-56.a.1.1 |
56.5376.193.7248 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$75$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&10\\38&35\end{bmatrix}$, $\begin{bmatrix}13&28\\0&13\end{bmatrix}$, $\begin{bmatrix}29&28\\28&1\end{bmatrix}$, $\begin{bmatrix}41&20\\48&1\end{bmatrix}$, $\begin{bmatrix}43&28\\28&15\end{bmatrix}$ |
| 56.5376.193-56.a.1.2 |
56.5376.193.331 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$75$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&28\\0&1\end{bmatrix}$, $\begin{bmatrix}13&0\\0&13\end{bmatrix}$, $\begin{bmatrix}13&20\\20&1\end{bmatrix}$, $\begin{bmatrix}29&0\\28&1\end{bmatrix}$, $\begin{bmatrix}55&38\\38&21\end{bmatrix}$ |
| 56.5376.193-56.a.1.3 |
56.5376.193.370 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$75$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&28\\0&1\end{bmatrix}$, $\begin{bmatrix}13&0\\0&13\end{bmatrix}$, $\begin{bmatrix}27&48\\20&15\end{bmatrix}$, $\begin{bmatrix}29&0\\28&1\end{bmatrix}$, $\begin{bmatrix}41&38\\10&35\end{bmatrix}$ |
| 56.5376.193-56.a.1.4 |
56.5376.193.7246 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$75$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&28\\0&13\end{bmatrix}$, $\begin{bmatrix}13&48\\20&1\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$, $\begin{bmatrix}29&0\\28&1\end{bmatrix}$, $\begin{bmatrix}41&10\\10&35\end{bmatrix}$ |
| 56.5376.193-56.a.1.5 |
56.5376.193.2922 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$75$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&28\\0&1\end{bmatrix}$, $\begin{bmatrix}13&0\\0&13\end{bmatrix}$, $\begin{bmatrix}41&20\\48&1\end{bmatrix}$, $\begin{bmatrix}41&38\\10&35\end{bmatrix}$, $\begin{bmatrix}43&28\\28&15\end{bmatrix}$ |
| 56.5376.193-56.a.1.6 |
56.5376.193.3611 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$75$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&28\\0&1\end{bmatrix}$, $\begin{bmatrix}13&0\\0&13\end{bmatrix}$, $\begin{bmatrix}13&20\\20&1\end{bmatrix}$, $\begin{bmatrix}43&28\\28&15\end{bmatrix}$, $\begin{bmatrix}55&38\\38&21\end{bmatrix}$ |
| 56.5376.193-56.a.1.7 |
56.5376.193.2924 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$75$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&0\\0&13\end{bmatrix}$, $\begin{bmatrix}13&20\\20&1\end{bmatrix}$, $\begin{bmatrix}15&28\\0&15\end{bmatrix}$, $\begin{bmatrix}29&28\\28&1\end{bmatrix}$, $\begin{bmatrix}41&10\\10&35\end{bmatrix}$ |
| 56.5376.193-56.a.1.8 |
56.5376.193.518 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$75$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&18\\18&35\end{bmatrix}$, $\begin{bmatrix}15&28\\0&15\end{bmatrix}$, $\begin{bmatrix}29&0\\28&1\end{bmatrix}$, $\begin{bmatrix}29&28\\0&29\end{bmatrix}$, $\begin{bmatrix}29&36\\36&41\end{bmatrix}$ |
| 56.5376.193-56.a.1.9 |
56.5376.193.3613 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$75$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&0\\0&13\end{bmatrix}$, $\begin{bmatrix}15&28\\0&15\end{bmatrix}$, $\begin{bmatrix}29&28\\28&1\end{bmatrix}$, $\begin{bmatrix}41&20\\48&1\end{bmatrix}$, $\begin{bmatrix}41&38\\10&35\end{bmatrix}$ |
| 56.5376.193-56.a.1.10 |
56.5376.193.2925 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$75$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&0\\0&13\end{bmatrix}$, $\begin{bmatrix}13&48\\20&1\end{bmatrix}$, $\begin{bmatrix}15&28\\0&15\end{bmatrix}$, $\begin{bmatrix}29&0\\28&1\end{bmatrix}$, $\begin{bmatrix}41&38\\10&35\end{bmatrix}$ |
| 56.5376.193-56.a.1.11 |
56.5376.193.7240 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$75$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&0\\28&41\end{bmatrix}$, $\begin{bmatrix}15&28\\0&15\end{bmatrix}$, $\begin{bmatrix}29&18\\46&35\end{bmatrix}$, $\begin{bmatrix}29&28\\0&29\end{bmatrix}$, $\begin{bmatrix}41&20\\48&1\end{bmatrix}$ |
| 56.5376.193-56.a.1.12 |
56.5376.193.3612 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$75$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&0\\0&13\end{bmatrix}$, $\begin{bmatrix}13&20\\20&1\end{bmatrix}$, $\begin{bmatrix}15&28\\0&15\end{bmatrix}$, $\begin{bmatrix}29&0\\28&1\end{bmatrix}$, $\begin{bmatrix}41&10\\10&35\end{bmatrix}$ |
| 56.5376.193-56.a.1.13 |
56.5376.193.7236 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$75$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&18\\18&35\end{bmatrix}$, $\begin{bmatrix}13&0\\28&41\end{bmatrix}$, $\begin{bmatrix}15&28\\0&15\end{bmatrix}$, $\begin{bmatrix}29&28\\0&29\end{bmatrix}$, $\begin{bmatrix}41&20\\48&1\end{bmatrix}$ |
| 56.5376.193-56.a.1.14 |
56.5376.193.481 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$75$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&18\\18&35\end{bmatrix}$, $\begin{bmatrix}13&20\\20&1\end{bmatrix}$, $\begin{bmatrix}15&28\\0&15\end{bmatrix}$, $\begin{bmatrix}29&0\\28&1\end{bmatrix}$, $\begin{bmatrix}29&28\\0&29\end{bmatrix}$ |
| 56.5376.193-56.b.1.1 |
56.5376.193.7244 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$60$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&28\\0&29\end{bmatrix}$, $\begin{bmatrix}5&0\\0&33\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$, $\begin{bmatrix}41&36\\0&1\end{bmatrix}$, $\begin{bmatrix}55&38\\42&33\end{bmatrix}$ |
| 56.5376.193-56.b.1.2 |
56.5376.193.332 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$60$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}29&0\\0&1\end{bmatrix}$, $\begin{bmatrix}29&28\\0&29\end{bmatrix}$, $\begin{bmatrix}33&0\\0&33\end{bmatrix}$, $\begin{bmatrix}41&8\\0&1\end{bmatrix}$, $\begin{bmatrix}55&10\\42&33\end{bmatrix}$ |
| 56.5376.193-56.b.1.3 |
56.5376.193.369 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$60$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&0\\0&29\end{bmatrix}$, $\begin{bmatrix}1&28\\0&1\end{bmatrix}$, $\begin{bmatrix}13&10\\14&47\end{bmatrix}$, $\begin{bmatrix}33&0\\0&33\end{bmatrix}$, $\begin{bmatrix}55&8\\0&15\end{bmatrix}$ |
| 56.5376.193-56.b.1.4 |
56.5376.193.3609 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$60$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&8\\0&1\end{bmatrix}$, $\begin{bmatrix}29&28\\0&29\end{bmatrix}$, $\begin{bmatrix}33&0\\0&33\end{bmatrix}$, $\begin{bmatrix}41&38\\14&47\end{bmatrix}$, $\begin{bmatrix}55&8\\0&15\end{bmatrix}$ |
| 56.5376.193-56.b.1.5 |
56.5376.193.2921 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$60$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&2\\14&47\end{bmatrix}$, $\begin{bmatrix}1&28\\0&1\end{bmatrix}$, $\begin{bmatrix}13&8\\0&29\end{bmatrix}$, $\begin{bmatrix}33&0\\0&33\end{bmatrix}$, $\begin{bmatrix}43&0\\0&15\end{bmatrix}$ |
| 56.5376.193-56.b.1.6 |
56.5376.193.2923 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$60$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&8\\0&29\end{bmatrix}$, $\begin{bmatrix}15&2\\42&33\end{bmatrix}$, $\begin{bmatrix}15&28\\0&15\end{bmatrix}$, $\begin{bmatrix}29&28\\0&1\end{bmatrix}$, $\begin{bmatrix}33&0\\0&33\end{bmatrix}$ |
| 56.5376.193-56.b.1.7 |
56.5376.193.516 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$60$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&48\\0&41\end{bmatrix}$, $\begin{bmatrix}9&44\\0&41\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$, $\begin{bmatrix}19&14\\42&5\end{bmatrix}$, $\begin{bmatrix}29&0\\0&1\end{bmatrix}$ |
| 56.5376.193-56.b.1.8 |
56.5376.193.3610 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$60$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&0\\0&29\end{bmatrix}$, $\begin{bmatrix}15&28\\0&15\end{bmatrix}$, $\begin{bmatrix}27&10\\42&33\end{bmatrix}$, $\begin{bmatrix}33&0\\0&33\end{bmatrix}$, $\begin{bmatrix}41&36\\0&1\end{bmatrix}$ |
| 56.5376.193-56.b.1.9 |
56.5376.193.7238 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$60$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&0\\0&33\end{bmatrix}$, $\begin{bmatrix}13&8\\0&1\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$, $\begin{bmatrix}29&28\\0&29\end{bmatrix}$, $\begin{bmatrix}43&2\\42&33\end{bmatrix}$ |
| 56.5376.193-56.b.1.10 |
56.5376.193.7242 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$60$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&28\\0&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&33\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$, $\begin{bmatrix}15&30\\42&33\end{bmatrix}$, $\begin{bmatrix}41&8\\0&29\end{bmatrix}$ |
| 56.5376.193-56.b.1.11 |
56.5376.193.479 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$60$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{334}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&28\\0&1\end{bmatrix}$, $\begin{bmatrix}13&8\\0&29\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$, $\begin{bmatrix}19&54\\42&29\end{bmatrix}$, $\begin{bmatrix}37&0\\0&9\end{bmatrix}$ |
| 56.5376.193-56.c.1.1 |
56.5376.193.7247 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$77$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}17&52\\0&33\end{bmatrix}$, $\begin{bmatrix}27&24\\28&43\end{bmatrix}$, $\begin{bmatrix}27&52\\0&15\end{bmatrix}$, $\begin{bmatrix}39&34\\42&29\end{bmatrix}$, $\begin{bmatrix}41&52\\0&29\end{bmatrix}$ |
| 56.5376.193-56.c.1.2 |
56.5376.193.334 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$77$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&28\\28&29\end{bmatrix}$, $\begin{bmatrix}25&6\\42&15\end{bmatrix}$, $\begin{bmatrix}29&28\\0&29\end{bmatrix}$, $\begin{bmatrix}41&28\\0&41\end{bmatrix}$, $\begin{bmatrix}45&16\\0&9\end{bmatrix}$ |
| 56.5376.193-56.c.1.3 |
56.5376.193.7243 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$77$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&46\\42&29\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$, $\begin{bmatrix}39&32\\28&51\end{bmatrix}$, $\begin{bmatrix}41&28\\0&41\end{bmatrix}$, $\begin{bmatrix}41&52\\0&29\end{bmatrix}$ |
| 56.5376.193-56.c.1.4 |
56.5376.193.3089 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$77$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&2\\42&39\end{bmatrix}$, $\begin{bmatrix}9&44\\0&1\end{bmatrix}$, $\begin{bmatrix}27&52\\0&15\end{bmatrix}$, $\begin{bmatrix}41&28\\0&41\end{bmatrix}$, $\begin{bmatrix}43&0\\28&15\end{bmatrix}$ |
| 56.5376.193-56.c.1.5 |
56.5376.193.367 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$77$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&10\\42&13\end{bmatrix}$, $\begin{bmatrix}13&28\\0&13\end{bmatrix}$, $\begin{bmatrix}25&4\\0&9\end{bmatrix}$, $\begin{bmatrix}27&24\\28&43\end{bmatrix}$, $\begin{bmatrix}27&52\\0&15\end{bmatrix}$ |
| 56.5376.193-56.c.1.6 |
56.5376.193.3094 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$77$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}15&0\\28&43\end{bmatrix}$, $\begin{bmatrix}25&34\\14&43\end{bmatrix}$, $\begin{bmatrix}29&28\\0&29\end{bmatrix}$, $\begin{bmatrix}41&28\\0&41\end{bmatrix}$, $\begin{bmatrix}45&16\\0&9\end{bmatrix}$ |
| 56.5376.193-56.c.1.7 |
56.5376.193.3093 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$77$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&46\\42&29\end{bmatrix}$, $\begin{bmatrix}15&28\\0&15\end{bmatrix}$, $\begin{bmatrix}39&32\\28&51\end{bmatrix}$, $\begin{bmatrix}41&0\\0&41\end{bmatrix}$, $\begin{bmatrix}41&52\\0&29\end{bmatrix}$ |
| 56.5376.193-56.c.1.8 |
56.5376.193.517 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$77$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}15&28\\0&15\end{bmatrix}$, $\begin{bmatrix}17&22\\42&55\end{bmatrix}$, $\begin{bmatrix}25&4\\0&9\end{bmatrix}$, $\begin{bmatrix}29&4\\0&41\end{bmatrix}$, $\begin{bmatrix}43&0\\28&15\end{bmatrix}$ |
| 56.5376.193-56.c.1.9 |
56.5376.193.3095 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$77$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&16\\28&51\end{bmatrix}$, $\begin{bmatrix}3&46\\42&29\end{bmatrix}$, $\begin{bmatrix}15&28\\0&15\end{bmatrix}$, $\begin{bmatrix}41&0\\0&41\end{bmatrix}$, $\begin{bmatrix}41&52\\0&29\end{bmatrix}$ |
| 56.5376.193-56.c.1.10 |
56.5376.193.7239 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$77$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}15&28\\0&15\end{bmatrix}$, $\begin{bmatrix}25&4\\0&9\end{bmatrix}$, $\begin{bmatrix}29&4\\0&41\end{bmatrix}$, $\begin{bmatrix}53&38\\42&55\end{bmatrix}$, $\begin{bmatrix}55&24\\28&15\end{bmatrix}$ |
| 56.5376.193-56.c.1.11 |
56.5376.193.7235 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$77$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}15&28\\0&15\end{bmatrix}$, $\begin{bmatrix}29&28\\0&29\end{bmatrix}$, $\begin{bmatrix}39&34\\42&29\end{bmatrix}$, $\begin{bmatrix}45&16\\0&9\end{bmatrix}$, $\begin{bmatrix}55&28\\28&27\end{bmatrix}$ |
| 56.5376.193-56.c.1.12 |
56.5376.193.482 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$77$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{930}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}15&0\\28&43\end{bmatrix}$, $\begin{bmatrix}15&28\\0&15\end{bmatrix}$, $\begin{bmatrix}29&28\\0&29\end{bmatrix}$, $\begin{bmatrix}39&34\\42&29\end{bmatrix}$, $\begin{bmatrix}45&16\\0&9\end{bmatrix}$ |
| 56.5376.193-56.d.1.1 |
56.5376.193.7245 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$64$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&22\\42&47\end{bmatrix}$, $\begin{bmatrix}3&52\\28&43\end{bmatrix}$, $\begin{bmatrix}27&28\\0&27\end{bmatrix}$, $\begin{bmatrix}29&0\\0&1\end{bmatrix}$, $\begin{bmatrix}43&0\\0&43\end{bmatrix}$ |
| 56.5376.193-56.d.1.2 |
56.5376.193.333 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$64$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&28\\0&1\end{bmatrix}$, $\begin{bmatrix}29&0\\0&1\end{bmatrix}$, $\begin{bmatrix}31&14\\42&17\end{bmatrix}$, $\begin{bmatrix}41&0\\0&41\end{bmatrix}$, $\begin{bmatrix}45&24\\28&29\end{bmatrix}$ |
| 56.5376.193-56.d.1.3 |
56.5376.193.368 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$64$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&28\\0&1\end{bmatrix}$, $\begin{bmatrix}3&52\\28&43\end{bmatrix}$, $\begin{bmatrix}23&6\\14&33\end{bmatrix}$, $\begin{bmatrix}29&0\\0&1\end{bmatrix}$, $\begin{bmatrix}41&0\\0&41\end{bmatrix}$ |
| 56.5376.193-56.d.1.4 |
56.5376.193.3091 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$64$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&28\\0&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&5\end{bmatrix}$, $\begin{bmatrix}15&28\\0&43\end{bmatrix}$, $\begin{bmatrix}39&22\\42&29\end{bmatrix}$, $\begin{bmatrix}55&4\\28&15\end{bmatrix}$ |
| 56.5376.193-56.d.1.5 |
56.5376.193.3090 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$64$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&28\\0&1\end{bmatrix}$, $\begin{bmatrix}3&52\\28&15\end{bmatrix}$, $\begin{bmatrix}15&28\\0&43\end{bmatrix}$, $\begin{bmatrix}31&14\\42&17\end{bmatrix}$, $\begin{bmatrix}41&0\\0&41\end{bmatrix}$ |
| 56.5376.193-56.d.1.6 |
56.5376.193.3092 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$64$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&0\\0&5\end{bmatrix}$, $\begin{bmatrix}29&28\\0&1\end{bmatrix}$, $\begin{bmatrix}39&22\\42&29\end{bmatrix}$, $\begin{bmatrix}43&28\\0&43\end{bmatrix}$, $\begin{bmatrix}55&4\\28&15\end{bmatrix}$ |
| 56.5376.193-56.d.1.7 |
56.5376.193.515 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$64$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&22\\42&47\end{bmatrix}$, $\begin{bmatrix}1&28\\0&1\end{bmatrix}$, $\begin{bmatrix}3&52\\28&43\end{bmatrix}$, $\begin{bmatrix}29&0\\0&1\end{bmatrix}$, $\begin{bmatrix}43&28\\0&43\end{bmatrix}$ |
| 56.5376.193-56.d.1.8 |
56.5376.193.3096 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$64$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&52\\28&43\end{bmatrix}$, $\begin{bmatrix}29&0\\0&1\end{bmatrix}$, $\begin{bmatrix}37&34\\42&19\end{bmatrix}$, $\begin{bmatrix}41&0\\0&41\end{bmatrix}$, $\begin{bmatrix}43&28\\0&43\end{bmatrix}$ |
| 56.5376.193-56.d.1.9 |
56.5376.193.7237 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$64$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&28\\0&1\end{bmatrix}$, $\begin{bmatrix}33&0\\0&5\end{bmatrix}$, $\begin{bmatrix}39&22\\42&29\end{bmatrix}$, $\begin{bmatrix}43&28\\0&43\end{bmatrix}$, $\begin{bmatrix}55&4\\28&15\end{bmatrix}$ |
| 56.5376.193-56.d.1.10 |
56.5376.193.7241 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$64$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}27&4\\28&15\end{bmatrix}$, $\begin{bmatrix}29&28\\0&29\end{bmatrix}$, $\begin{bmatrix}33&0\\0&5\end{bmatrix}$, $\begin{bmatrix}43&28\\0&43\end{bmatrix}$, $\begin{bmatrix}55&26\\42&5\end{bmatrix}$ |
| 56.5376.193-56.d.1.11 |
56.5376.193.480 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$64$ |
$47 \le \gamma \le 56$ |
$64$ |
$0$ |
|
$2^{737}\cdot7^{350}$ |
|
|
|
$1^{107}\cdot2^{41}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}29&28\\0&29\end{bmatrix}$, $\begin{bmatrix}43&28\\0&43\end{bmatrix}$, $\begin{bmatrix}51&26\\42&29\end{bmatrix}$, $\begin{bmatrix}53&0\\0&25\end{bmatrix}$, $\begin{bmatrix}55&4\\28&15\end{bmatrix}$ |
| 56.5376.193-56.e.1.1 |
56.5376.193.4538 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$30$ |
$47 \le \gamma \le 84$ |
$64$ |
$0$ |
|
$2^{738}\cdot7^{336}$ |
|
|
|
$1^{59}\cdot2^{23}\cdot4^{4}\cdot8^{5}\cdot16^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&28\\0&13\end{bmatrix}$, $\begin{bmatrix}13&48\\0&29\end{bmatrix}$, $\begin{bmatrix}19&40\\0&23\end{bmatrix}$, $\begin{bmatrix}33&30\\42&15\end{bmatrix}$, $\begin{bmatrix}43&28\\28&15\end{bmatrix}$ |
| 56.5376.193-56.e.1.2 |
56.5376.193.336 |
|
|
|
|
|
$56$ |
$5376$ |
$193$ |
$30$ |
$47 \le \gamma \le 84$ |
$64$ |
$0$ |
|
$2^{738}\cdot7^{336}$ |
|
|
|
$1^{59}\cdot2^{23}\cdot4^{4}\cdot8^{5}\cdot16^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&28\\0&29\end{bmatrix}$, $\begin{bmatrix}5&28\\0&5\end{bmatrix}$, $\begin{bmatrix}13&20\\0&1\end{bmatrix}$, $\begin{bmatrix}29&0\\28&1\end{bmatrix}$, $\begin{bmatrix}51&18\\14&1\end{bmatrix}$ |
