| Partition type $(1,1,1,1,1)$, $k=1$, $l=5$ | | |

${\mathit{E}}_{\mathbf{1}}$ | $\left\{1\right\},\left\{2\right\},\left\{3\right\},\left\{4\right\},\left\{5\right\}$ | $-\frac{2}{9}$ | $0.0$ |

| Partition type $(1,1,1,2)$, $k=10$, $l=4$ | | |

${E}_{2}$ | $\left\{1\right\},\left\{2\right\},\left\{3\right\},\{4,5\}\phantom{\rule{1.em}{0ex}}\{1,2\},\left\{3\right\},\left\{4\right\},\left\{5\right\}$ | $-\frac{1}{9}$ | $0.2$ |

${E}_{3}$ | $\left\{1\right\},\left\{2\right\},\{3,4\},\left\{5\right\}\phantom{\rule{1.em}{0ex}}\left\{1\right\},\left\{2\right\},\{3,5\},\left\{4\right\}\phantom{\rule{1.em}{0ex}}\left\{1\right\},\{2,3\},\left\{4\right\},\left\{5\right\}$ | $-\frac{1}{6}$ | $0.2$ |

| $\{1,3\},\left\{2\right\},\left\{4\right\},\left\{5\right\}$ | | |

${E}_{4}$ | $\left\{1\right\},\{2,4\},\left\{3\right\},\left\{5\right\}\phantom{\rule{1.em}{0ex}}\left\{1\right\},\{2,5\},\left\{3\right\},\left\{4\right\}\phantom{\rule{1.em}{0ex}}\{1,4\},\left\{2\right\},\left\{3\right\},\left\{5\right\}$ | $-\frac{5}{18}$ | $0.2$ |

| $\{1,5\},\left\{2\right\},\left\{3\right\},\left\{4\right\}$ | | |

| Partition type $(1,1,3)$ $k=10$, $l=3$ | | |

${E}_{5}$ | $\left\{1\right\},\left\{2\right\},\{3,4,5\}\phantom{\rule{1.em}{0ex}}\left\{4\right\},\left\{5\right\},\{1,2,3\}$ | 0 | $0.6$ |

${E}_{6}$ | $\left\{1\right\},\left\{3\right\},\{2,4,5\}\phantom{\rule{1.em}{0ex}}\left\{3\right\},\left\{5\right\},\{1,2,4\}\phantom{\rule{1.em}{0ex}}\left\{3\right\},\left\{4\right\},\{1,2,5\}$ | $-\frac{2}{9}$ | $0.4$ |

| $\left\{2\right\},\left\{3\right\},\{1,4,5\}$ | | |

${E}_{7}$ | $\left\{1\right\},\left\{5\right\},\{2,3,4\}\phantom{\rule{1.em}{0ex}}\left\{1\right\},\left\{4\right\},\{2,3,5\}\phantom{\rule{1.em}{0ex}}\left\{2\right\},\left\{5\right\},\{1,3,4\}$ | $-\frac{1}{6}$ | $0.6$ |

| $\left\{2\right\},\left\{4\right\},\{1,3,5\}$ | | |

| Partition type $(1,2,2)$, $k=15$, $l=3$ | | |

${\mathit{E}}_{\mathbf{8}}$ | $\left\{3\right\},\{1,2\},\{4,5\}$ | 0 | $0.0$ |

${E}_{9}$ | $\left\{3\right\},\{1,4\},\{2,5\}\phantom{\rule{1.em}{0ex}}\left\{3\right\},\{1,5\},\{2,4\}$ | $-\frac{1}{3}$ | $0.4$ |

${E}_{10}$ | $\left\{1\right\},\{2,3\},\{4,5\}\phantom{\rule{1.em}{0ex}}\left\{5\right\},\{1,2\},\{3,4\}\phantom{\rule{1.em}{0ex}}\left\{4\right\},\{1,2\},\{3,5\}$ | $-\frac{1}{18}$ | $0.4$ |

| $\left\{2\right\},\{1,3\},\{4,5\}$ | | |

${E}_{11}$ | $\left\{1\right\},\{2,4\},\{3,5\}\phantom{\rule{1.em}{0ex}}\left\{1\right\},\{2,5\},\{3,4\}\phantom{\rule{1.em}{0ex}}\left\{5\right\},\{1,3\},\{2,4\}$ | $-\frac{2}{9}$ | $0.4$ |

| $\left\{4\right\},\{1,3\},\{2,5\}\phantom{\rule{1.em}{0ex}}\left\{2\right\},\{1,4\},\{3,5\}\phantom{\rule{1.em}{0ex}}\left\{5\right\},\{1,4\},\{2,3\}$ | | |

| $\left\{2\right\},\{1,5\},\{3,4\}\phantom{\rule{1.em}{0ex}}\left\{4\right\},\{1,5\},\{2,3\}$ | | |

| Partition type $(1,4)$, $k=5$, $l=2$ | | |

${\mathit{E}}_{\mathbf{12}}$ | $\{1,2,4,5\},\left\{3\right\}$ | $-\frac{2}{9}$ | $0.0$ |

${E}_{13}$ | $\{2,3,4,5\},\left\{1\right\}\phantom{\rule{1.em}{0ex}}\{1,2,3,4\},\left\{5\right\}\phantom{\rule{1.em}{0ex}}\{1,2,3,5\},\left\{4\right\}$ | $-\frac{1}{18}$ | $0.6$ |

| $\{1,3,4,5\},\left\{2\right\}$ | | |

| Partition type $(2,3)$, $k=10$, $l=2$ | | |

${E}_{14}$ | $\{1,2\},\{3,4,5\}\phantom{\rule{1.em}{0ex}}\{4,5\},\{1,2,3\}$ | $\frac{1}{9}$ | $0.4$ |

${E}_{15}$ | $\{3,5\},\{1,2,4\}\phantom{\rule{1.em}{0ex}}\{3,4\},\{1,2,5\}\phantom{\rule{1.em}{0ex}}\{1,3\},\{2,4,5\}$ | $-\frac{1}{6}$ | $0.6$ |

| $\{2,3\},\{1,4,5\}$ | | |

${E}_{16}$ | $\{2,5\},\{1,3,4\}\phantom{\rule{1.em}{0ex}}\{2,4\},\{1,3,5\}\phantom{\rule{1.em}{0ex}}\{1,4\},\{2,3,5\}$ | $-\frac{2}{9}$ | $0.6$ |

| $\{1,5\},\{2,3,4\}$ | | |

| Partition type $\left(5\right)$, $k=1$, $l=1$ | | |

${\mathit{E}}_{\mathbf{17}}$ | $\{1,2,3,4,5\}$ | 0 | $0.0$ |