<table><caption>TABLE LXXXIV: Scaling dimension for the sector $S = 5^+$, $L = 3$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>6.9454 (11), 6.8815 (10), 6.8119 (9)</td><td>7</td><td>ED</td><td>8.3107 (10), 8.2493 (9), 8.1852 (8)</td></tr><tr><td>1</td><td>DMRG</td><td>7.3499 (14)</td><td>8</td><td>ED</td><td>8.4998 (10), 8.3903 (9), 8.3439 (8)</td></tr><tr><td>2</td><td>ED</td><td>7.3189 (11), 7.2427 (10), 7.1536 (9)</td><td>9</td><td>ED</td><td>8.5200 (10), 8.4658 (9), 8.4004 (8)</td></tr><tr><td>2</td><td>DMRG</td><td>7.7416 (14)</td><td>10</td><td>ED</td><td>8.5862 (10), 8.4853 (9), 8.4391 (8)</td></tr><tr><td>3</td><td>ED</td><td>7.7142 (11), 7.6234 (10), 7.5152 (9)</td><td>11</td><td>ED</td><td>8.6112 (10), 8.5172 (9), 8.6756 (8)</td></tr><tr><td>3</td><td>DMRG</td><td>8.1607 (14)</td><td>12</td><td>ED</td><td>8.7454 (10), 8.7083 (9), 8.7273 (8)</td></tr><tr><td>4</td><td>ED</td><td>7.8275 (11), 7.7603 (10), 7.6845 (9)</td><td>13</td><td>ED</td><td>8.7919 (10), 8.7351 (9), 8.7345 (8)</td></tr><tr><td>4</td><td>DMRG</td><td>8.2730 (14)</td><td>14</td><td>ED</td><td>8.8497 (10), 8.7558 (9), 8.8646 (8)</td></tr><tr><td>5</td><td>ED</td><td>8.0900 (11), 8.0664 (10), 7.9642 (9)</td><td>15</td><td>ED</td><td>8.8933 (10), 8.8209 (9), 8.8936 (8)</td></tr><tr><td>5</td><td>DMRG</td><td>8.3863 (14)</td><td>16</td><td>ED</td><td>8.9365 (10), 8.8867 (9), 8.9422 (8)</td></tr><tr><td>6</td><td>ED</td><td>8.1527 (11), 8.0704 (10), 8.0450 (9)</td><td></td><td></td><td></td></tr></tbody></table>

<table><caption>TABLE LXXXV: Scaling dimension for the sector $S = 5^+$, $L = 4$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>7.1374 (10), 6.9117 (8)</td><td>7</td><td>ED</td><td>8.2548 (10), 8.3860 (8)</td></tr><tr><td>1</td><td>DMRG</td><td>7.7233 (14)</td><td>8</td><td>ED</td><td>8.4670 (10), 8.4166 (8)</td></tr><tr><td>2</td><td>ED</td><td>7.4195 (10), 7.1473 (8)</td><td>9</td><td>ED</td><td>8.5572 (10), 8.4988 (8)</td></tr><tr><td>2</td><td>DMRG</td><td>8.0513 (14)</td><td>10</td><td>ED</td><td>8.6364 (10), 8.5541 (8)</td></tr><tr><td>3</td><td>ED</td><td>7.7069 (10), 7.3659 (8)</td><td>11</td><td>ED</td><td>8.7280 (10), 8.5779 (8)</td></tr><tr><td>3</td><td>DMRG</td><td>8.4107 (14)</td><td>12</td><td>ED</td><td>8.7697 (10), 8.7354 (8)</td></tr><tr><td>4</td><td>ED</td><td>8.0065 (10), 7.7776 (8)</td><td>13</td><td>ED</td><td>8.7979 (10), 8.8152 (8)</td></tr><tr><td>4</td><td>DMRG</td><td>8.6198 (14)</td><td>14</td><td>ED</td><td>8.8809 (10), 8.8461 (8)</td></tr><tr><td>5</td><td>ED</td><td>8.0117 (10), 7.9344 (8)</td><td>15</td><td>ED</td><td>8.9291 (10), 8.9506 (8)</td></tr><tr><td>5</td><td>DMRG</td><td>8.6726 (14)</td><td>16</td><td>ED</td><td>8.9555 (10), 9.0405 (8)</td></tr><tr><td>6</td><td>ED</td><td>8.2416 (10), 8.0794 (8)</td><td></td><td></td><td></td></tr></tbody></table>
<table><caption>TABLE LXXXVI: Scaling dimension for the sector $S = 5^+$, $L = 5$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>7.4642 (11), 7.3333 (10), 7.1898 (9)</td><td>5</td><td>ED</td><td>8.3374 (11), 8.2136 (10), 8.0749 (9)</td></tr><tr><td>1</td><td>DMRG</td><td>8.0423 (14)</td><td>5</td><td>DMRG</td><td>8.5862 (14)</td></tr><tr><td>2</td><td>ED</td><td>7.6638 (11), 7.5217 (10), 7.3647 (9)</td><td>6</td><td>ED</td><td>8.4280 (11), 8.2287 (10), 8.2085 (9)</td></tr><tr><td>2</td><td>DMRG</td><td>8.2710 (14)</td><td>7</td><td>ED</td><td>8.5081 (11), 8.3760 (10), 8.2874 (9)</td></tr><tr><td>3</td><td>ED</td><td>7.9058 (11), 7.7450 (10), 7.5668 (9)</td><td>8</td><td>ED</td><td>8.5423 (11), 8.4160 (10), 8.3462 (9)</td></tr><tr><td>3</td><td>DMRG</td><td>8.3762 (14)</td><td>9</td><td>ED</td><td>8.7235 (11), 8.5492 (10), 8.5587 (9)</td></tr><tr><td>4</td><td>ED</td><td>8.1730 (11), 7.9852 (10), 7.7702 (9)</td><td>10</td><td>ED</td><td>8.8267 (11), 8.7002 (10), 8.7308 (9)</td></tr><tr><td>4</td><td>DMRG</td><td>8.5647 (14)</td><td></td><td></td><td></td></tr></tbody></table>

<table><caption>TABLE LXXXVII: Scaling dimension for the sector $S = 5^+$, $L = 6$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>7.6823 (11), 7.5202 (10), 7.3453 (9)</td><td>6</td><td>ED</td><td>8.5181 (10), 8.3757 (9), 8.5250 (8)</td></tr><tr><td>2</td><td>ED</td><td>7.7199 (10), 7.5277 (9), 7.3186 (8)</td><td>7</td><td>ED</td><td>8.5784 (10), 8.5526 (9), 8.6862 (8)</td></tr><tr><td>3</td><td>ED</td><td>7.9318 (10), 7.7215 (9), 8.0367 (8)</td><td>8</td><td>ED</td><td>8.7272 (10), 8.7331 (9), 8.8027 (8)</td></tr><tr><td>4</td><td>ED</td><td>8.1301 (10), 8.2374 (9), 8.1441 (8)</td><td>9</td><td>ED</td><td>8.7404 (10), 8.7538 (9), 9.0253 (8)</td></tr><tr><td>5</td><td>ED</td><td>8.4212 (10), 8.3423 (9), 8.3396 (8)</td><td>10</td><td>ED</td><td>8.9167 (10), 8.8712 (9), 9.1103 (8)</td></tr></tbody></table>

<table><caption>TABLE LXXXVIII: Scaling dimension for the sector $S = 5^+$, $L = 7$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>7.5928 (10), 7.3997 (9), 7.1913 (8)</td><td>6</td><td>ED</td><td>8.6947 (10), 8.6775 (9)</td></tr><tr><td>2</td><td>ED</td><td>7.8180 (10), 7.6077 (9)</td><td>7</td><td>ED</td><td>8.7437 (10), 8.7679 (9)</td></tr><tr><td>3</td><td>ED</td><td>8.0332 (10), 8.3035 (9)</td><td>8</td><td>ED</td><td>8.9166 (10), 8.9220 (9)</td></tr><tr><td>4</td><td>ED</td><td>8.5015 (10), 8.3670 (9)</td><td>9</td><td>ED</td><td>9.0060 (10), 9.0788 (9)</td></tr><tr><td>5</td><td>ED</td><td>8.5785 (10), 8.5164 (9)</td><td>10</td><td>ED</td><td>9.0865 (10), 9.1463 (9)</td></tr></tbody></table>
<table><caption>TABLE LXXXIX: Scaling dimension for the sector $S = 5^-$, $L = 0$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1 (σ<sub>(5)</sub>)</td><td>ED</td><td>4.5352 (10), 4.5528 (9), 4.5702 (8)</td><td>4</td><td>ED</td><td>7.9921 (10), 7.9716 (9), 7.9472 (8)</td></tr><tr><td>1 (σ<sub>(5)</sub>)</td><td>DMRG</td><td>4.4084 (20), 4.4510 (16), 4.6923 (14)</td><td>4</td><td>DMRG</td><td>8.0277 (14)</td></tr><tr><td>1 (σ<sub>(5)</sub>)</td><td>ε</td><td>5.0000 (0), 4.3182 (1), 3.6711 (2), 5.0656 (3), 0.6973 (4), 16.8535 (5)</td><td>5</td><td>ED</td><td>8.7119 (10), 8.6321 (9), 8.5440 (8)</td></tr><tr><td>1 (σ<sub>(5)</sub>)</td><td>1/N</td><td>2.5000 (0), 5.4271 (1), 4.5954 (2)</td><td>5</td><td>DMRG</td><td>8.3125 (14)</td></tr><tr><td>2</td><td>ED</td><td>6.7673 (10), 6.7801 (9), 6.7872 (8)</td><td>6</td><td>ED</td><td>8.7873 (10), 8.7627 (9), 8.7714 (8)</td></tr><tr><td>2</td><td>DMRG</td><td>6.9261 (14)</td><td>7</td><td>ED</td><td>8.8393 (10), 8.8163 (9), 9.0603 (8)</td></tr><tr><td>3</td><td>ED</td><td>7.7497 (10), 7.7487 (9), 7.7436 (8)</td><td>8</td><td>ED</td><td>9.1181 (10), 9.1334 (9), 9.3395 (8)</td></tr><tr><td>3</td><td>DMRG</td><td>7.6610 (14)</td><td></td><td></td><td></td></tr></tbody></table>

<table><caption>TABLE XC: Scaling dimension for the sector $S = 5^-$, $L = 1$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>5.5552 (11), 5.5574 (10), 5.5582 (9)</td><td>5</td><td>ED</td><td>8.3229 (10), 8.2767 (9), 8.2327 (8)</td></tr><tr><td>1</td><td>DMRG</td><td>5.7483 (14)</td><td>5</td><td>DMRG</td><td>8.2827 (14)</td></tr><tr><td>2</td><td>ED</td><td>7.7015 (10), 7.6781 (9), 7.6400 (8)</td><td>6</td><td>ED</td><td>8.6354 (10), 8.5989 (9), 8.5412 (8)</td></tr><tr><td>2</td><td>DMRG</td><td>7.8762 (14)</td><td>7</td><td>ED</td><td>8.6583 (10), 8.6168 (9), 8.5527 (8)</td></tr><tr><td>3</td><td>ED</td><td>7.7243 (10), 7.7281 (9), 7.7151 (8)</td><td>8</td><td>ED</td><td>8.8076 (10), 8.7418 (9), 8.6545 (8)</td></tr><tr><td>3</td><td>DMRG</td><td>7.9453 (14)</td><td>9</td><td>ED</td><td>9.0079 (10), 8.9331 (9), 8.8056 (8)</td></tr><tr><td>4</td><td>ED</td><td>8.0466 (10), 8.0812 (9), 8.1245 (8)</td><td>10</td><td>ED</td><td>9.0511 (10), 8.9850 (9), 8.9132 (8)</td></tr><tr><td>4</td><td>DMRG</td><td>7.9566 (14)</td><td></td><td></td><td></td></tr></tbody></table>
<table><caption>TABLE XCI: Scaling dimension for the sector $S = 5^{-}$, $L = 2$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>6.4425 (11), 6.4101 (10), 6.3666 (9)</td><td>7</td><td>ED</td><td>8.3408 (10), 8.2815 (9), 8.1964 (8)</td></tr><tr><td>1</td><td>DMRG</td><td>6.6283 (14)</td><td>8</td><td>ED</td><td>8.4092 (10), 8.3540 (9), 8.3224 (8)</td></tr><tr><td>2</td><td>ED</td><td>6.4689 (11), 6.4877 (10), 6.5095 (9)</td><td>9</td><td>ED</td><td>8.4337 (10), 8.3873 (9), 8.3899 (8)</td></tr><tr><td>2</td><td>DMRG</td><td>6.7089 (14)</td><td>10</td><td>ED</td><td>8.5144 (10), 8.4712 (9), 8.4463 (8)</td></tr><tr><td>3</td><td>ED</td><td>7.4659 (11), 7.4604 (10), 7.4468 (9)</td><td>11</td><td>ED</td><td>8.5396 (10), 8.5072 (9), 8.5041 (8)</td></tr><tr><td>3</td><td>DMRG</td><td>7.6742 (14)</td><td>12</td><td>ED</td><td>8.6136 (10), 8.5378 (9), 8.6021 (8)</td></tr><tr><td>4</td><td>ED</td><td>7.9129 (10), 7.8914 (9), 7.8633 (8)</td><td>13</td><td>ED</td><td>8.7030 (10), 8.7019 (9), 8.7023 (8)</td></tr><tr><td>4</td><td>DMRG</td><td>8.2581 (14)</td><td>14</td><td>ED</td><td>8.7982 (10), 8.7469 (9), 8.7426 (8)</td></tr><tr><td>5</td><td>ED</td><td>8.0902 (10), 8.0469 (9), 7.9947 (8)</td><td>15</td><td>ED</td><td>8.8451 (10), 8.7933 (9), 8.7969 (8)</td></tr><tr><td>5</td><td>DMRG</td><td>8.3685 (14)</td><td>16</td><td>ED</td><td>8.9181 (10), 8.8736 (9), 8.8297 (8)</td></tr><tr><td>6</td><td>ED</td><td>8.1906 (10), 8.1456 (9), 8.0921 (8)</td><td></td><td></td><td></td></tr></tbody></table>

<table><caption>TABLE XCII: Scaling dimension for the sector $S = 5^{-}$, $L = 3$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>7.0961 (11), 7.0374 (10), 6.9371 (9)</td><td>7</td><td>ED</td><td>8.3521 (11), 8.3808 (10), 8.3223 (9)</td></tr><tr><td>1</td><td>DMRG</td><td>7.2976 (14)</td><td>8</td><td>ED</td><td>8.4906 (10), 8.4207 (9), 8.3474 (8)</td></tr><tr><td>2</td><td>ED</td><td>7.1491 (11), 7.1273 (10), 7.1235 (9)</td><td>9</td><td>ED</td><td>8.5682 (10), 8.4867 (9), 8.3852 (8)</td></tr><tr><td>2</td><td>DMRG</td><td>7.5189 (14)</td><td>10</td><td>ED</td><td>8.6928 (10), 8.5933 (9), 8.4735 (8)</td></tr><tr><td>3</td><td>ED</td><td>7.3694 (11), 7.3500 (10), 7.3238 (9)</td><td>11</td><td>ED</td><td>8.7327 (10), 8.6315 (9), 8.5170 (8)</td></tr><tr><td>3</td><td>DMRG</td><td>7.6154 (14)</td><td>12</td><td>ED</td><td>8.7693 (10), 8.6635 (9), 8.5702 (8)</td></tr><tr><td>4</td><td>ED</td><td>8.0664 (11), 8.0190 (10), 7.9434 (9)</td><td>13</td><td>ED</td><td>8.8443 (10), 8.7265 (9), 8.6173 (8)</td></tr><tr><td>4</td><td>DMRG</td><td>8.3447 (14)</td><td>14</td><td>ED</td><td>8.8700 (10), 8.7495 (9), 8.7393 (8)</td></tr><tr><td>5</td><td>ED</td><td>8.2256 (11), 8.1722 (10), 8.1093 (9)</td><td>15</td><td>ED</td><td>8.9106 (10), 8.8792 (9), 8.7487 (8)</td></tr><tr><td>5</td><td>DMRG</td><td>8.6748 (14)</td><td>16</td><td>ED</td><td>8.9582 (10), 8.8892 (9), 8.7855 (8)</td></tr><tr><td>6</td><td>ED</td><td>8.2747 (11), 8.2207 (10), 8.1573 (9)</td><td></td><td></td><td></td></tr></tbody></table>
<table><caption>TABLE XCIII: Scaling dimension for the sector $S = 5^-$, $L = 4$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>7.4671 (10), 7.3070 (9), 7.4679 (8)</td><td>7</td><td>ED</td><td>8.4201 (10), 8.3411 (9), 8.3330 (8)</td></tr><tr><td>1</td><td>DMRG</td><td>7.7504 (14)</td><td>8</td><td>ED</td><td>8.4421 (10), 8.3590 (9), 8.3738 (8)</td></tr><tr><td>2</td><td>ED</td><td>7.5125 (10), 7.4953 (9), 7.5442 (8)</td><td>9</td><td>ED</td><td>8.5695 (10), 8.4689 (9), 8.4099 (8)</td></tr><tr><td>2</td><td>DMRG</td><td>8.1118 (14)</td><td>10</td><td>ED</td><td>8.6197 (10), 8.4934 (9), 8.4676 (8)</td></tr><tr><td>3</td><td>ED</td><td>7.7847 (10), 7.6827 (9), 7.6994 (8)</td><td>11</td><td>ED</td><td>8.6214 (10), 8.5202 (9), 8.5636 (8)</td></tr><tr><td>3</td><td>DMRG</td><td>8.2194 (14)</td><td>12</td><td>ED</td><td>8.7226 (10), 8.6075 (9), 8.5742 (8)</td></tr><tr><td>4</td><td>ED</td><td>7.8911 (10), 7.8049 (9), 8.1732 (8)</td><td>13</td><td>ED</td><td>8.7554 (10), 8.6606 (9), 8.6154 (8)</td></tr><tr><td>4</td><td>DMRG</td><td>8.3666 (14)</td><td>14</td><td>ED</td><td>8.8273 (10), 8.7088 (9), 8.6239 (8)</td></tr><tr><td>5</td><td>ED</td><td>8.3386 (10), 8.2433 (9), 8.2205 (8)</td><td>15</td><td>ED</td><td>8.9002 (10), 8.7650 (9), 8.7158 (8)</td></tr><tr><td>5</td><td>DMRG</td><td>8.6279 (14)</td><td>16</td><td>ED</td><td>8.9130 (10), 8.7797 (9), 8.7604 (8)</td></tr><tr><td>6</td><td>ED</td><td>8.4121 (10), 8.2801 (9), 8.2713 (8)</td><td></td><td></td><td></td></tr></tbody></table>

<table><caption>TABLE XCIV: Scaling dimension for the sector $S = 5^-$, $L = 5$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>7.7909 (11), 7.7451 (10), 7.7038 (9)</td><td>5</td><td>ED</td><td>8.3123 (11), 8.1766 (10), 8.4605 (9)</td></tr><tr><td>1</td><td>DMRG</td><td>8.0685 (14)</td><td>5</td><td>DMRG</td><td>8.8352 (14)</td></tr><tr><td>2</td><td>ED</td><td>7.9214 (11), 7.7521 (10), 7.9260 (9)</td><td>6</td><td>ED</td><td>8.6977 (11), 8.5963 (10), 8.4841 (9)</td></tr><tr><td>2</td><td>DMRG</td><td>8.5444 (14)</td><td>7</td><td>ED</td><td>8.7258 (11), 8.6091 (10), 8.5245 (9)</td></tr><tr><td>3</td><td>ED</td><td>8.1520 (11), 8.0647 (10), 7.9602 (9)</td><td>8</td><td>ED</td><td>8.8024 (11), 8.6142 (10), 8.5844 (9)</td></tr><tr><td>3</td><td>DMRG</td><td>8.5676 (14)</td><td>9</td><td>ED</td><td>8.8079 (11), 8.7221 (10), 8.6469 (9)</td></tr><tr><td>4</td><td>ED</td><td>8.2546 (11), 8.1042 (10), 8.0184 (9)</td><td>10</td><td>ED</td><td>8.8382 (11), 8.7286 (10), 8.6580 (9)</td></tr><tr><td>4</td><td>DMRG</td><td>8.7804 (14)</td><td></td><td></td><td></td></tr></tbody></table>

<table><caption>TABLE XCV: Scaling dimension for the sector $S = 5^-$, $L = 6$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>8.1676 (10), 8.0145 (9), 7.8393 (8)</td><td>6</td><td>ED</td><td>8.7985 (10), 8.6788 (9), 8.5953 (8)</td></tr><tr><td>2</td><td>ED</td><td>8.2145 (10), 8.0703 (9), 7.9008 (8)</td><td>7</td><td>ED</td><td>8.8414 (10), 8.7739 (9), 8.6388 (8)</td></tr><tr><td>3</td><td>ED</td><td>8.2853 (10), 8.1674 (9), 8.3375 (8)</td><td>8</td><td>ED</td><td>8.8625 (10), 8.7954 (9), 8.6962 (8)</td></tr><tr><td>4</td><td>ED</td><td>8.3978 (10), 8.5649 (9), 8.4842 (8)</td><td>9</td><td>ED</td><td>8.9382 (10), 8.8159 (9), 8.7179 (8)</td></tr><tr><td>5</td><td>ED</td><td>8.7624 (10), 8.5980 (9), 8.5647 (8)</td><td>10</td><td>ED</td><td>8.9925 (10), 8.8552 (9), 8.7612 (8)</td></tr></tbody></table>
<table><caption>TABLE XCVI: Scaling dimension for the sector $S = 5^-$, $L = 7$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>8.2150 (10), 8.0373 (9), 7.8492 (8)</td><td>6</td><td>ED</td><td>8.9388 (10), 8.8824 (9)</td></tr><tr><td>2</td><td>ED</td><td>8.3521 (10), 8.1715 (9)</td><td>7</td><td>ED</td><td>9.0305 (10), 8.9398 (9)</td></tr><tr><td>3</td><td>ED</td><td>8.4819 (10), 8.5767 (9)</td><td>8</td><td>ED</td><td>9.0955 (10), 8.9532 (9)</td></tr><tr><td>4</td><td>ED</td><td>8.8041 (10), 8.7364 (9)</td><td>9</td><td>ED</td><td>9.1014 (10), 9.0182 (9)</td></tr><tr><td>5</td><td>ED</td><td>8.8738 (10), 8.8367 (9)</td><td>10</td><td>ED</td><td>9.1386 (10), 9.0386 (9)</td></tr></tbody></table>

G. $S = 6$:

<figure><img src="image_19.png" /><figcaption>FIG. 13: Spectrum in the $S = 6^+$ sector.</figcaption></figure>

<figure><img src="image_20.png" /><figcaption>FIG. 14: Spectrum in the $S = 6^-$ sector.</figcaption></figure>
<table><caption>TABLE XCVII: Scaling dimension for the sector $S = 6^+$, $L = 0$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>5.9456 (10), 5.9714 (9)</td><td>2</td><td>ED</td><td>8.1115 (10), 8.1122 (9)</td></tr><tr><td>1</td><td>DMRG</td><td>5.7514 (20), 5.8181 (16)</td><td>3</td><td>ED</td><td>9.3787 (10), 9.3811 (9)</td></tr><tr><td>1</td><td>ε</td><td>5.0000 (0), 4.3182 (1), 3.6711 (2), 5.0656 (3), 0.6973 (4), 16.8535 (5)</td><td>4</td><td>ED</td><td>9.5846 (10), 9.5761 (9)</td></tr><tr><td>1</td><td>1/N</td><td>3.0000 (0), 7.3230 (1), 5.7029 (2)</td><td></td><td></td><td></td></tr></tbody></table>

<table><caption>TABLE XCVIII: Scaling dimension for the sector $S = 6^+$, $L = 1$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>6.9326 (10), 6.9307 (9)</td><td>4</td><td>ED</td><td>9.6175 (10), 9.6377 (9)</td></tr><tr><td>2</td><td>ED</td><td>8.9815 (10), 8.9376 (9)</td><td>5</td><td>ED</td><td>9.8742 (10), 9.8398 (9)</td></tr><tr><td>3</td><td>ED</td><td>9.1797 (10), 9.2023 (9)</td><td>6</td><td>ED</td><td>10.0721 (10), 10.0301 (9)</td></tr></tbody></table>

<table><caption>TABLE XCIX: Scaling dimension for the sector $S = 6^+$, $L = 2$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>7.7205 (10), 7.6644 (9)</td><td>5</td><td>ED</td><td>9.6029 (10), 9.5362 (9)</td></tr><tr><td>2</td><td>ED</td><td>7.9173 (10), 7.9443 (9)</td><td>6</td><td>ED</td><td>9.6567 (10), 9.6203 (9)</td></tr><tr><td>3</td><td>ED</td><td>8.8170 (10), 8.7891 (9)</td><td>7</td><td>ED</td><td>9.6607 (10), 9.7188 (9)</td></tr><tr><td>4</td><td>ED</td><td>9.5087 (10), 9.4975 (9)</td><td>8</td><td>ED</td><td>9.7515 (10), 9.8698 (9)</td></tr></tbody></table>
<table><caption>TABLE C: Scaling dimension for the sector $S = 6^+$, $L = 3$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>8.2880 (10), 8.1682 (9)</td><td>5</td><td>ED</td><td>9.5955 (10), 9.5443 (9)</td></tr><tr><td>2</td><td>ED</td><td>8.5891 (10), 8.5720 (9)</td><td>6</td><td>ED</td><td>9.7618 (10), 9.7138 (9)</td></tr><tr><td>3</td><td>ED</td><td>8.7551 (10), 8.7509 (9)</td><td>7</td><td>ED</td><td>9.9240 (10), 9.8738 (9)</td></tr><tr><td>4</td><td>ED</td><td>9.3407 (10), 9.2260 (9)</td><td>8</td><td>ED</td><td>10.0104 (10), 9.9510 (9)</td></tr></tbody></table>

<table><caption>TABLE CII: Scaling dimension for the sector $S = 6^+$, $L = 5$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>8.6723 (10), 9.0032 (9)</td><td>5</td><td>ED</td><td>9.6601 (10), 9.7553 (9)</td></tr><tr><td>2</td><td>ED</td><td>9.0383 (10), 9.0306 (9)</td><td>6</td><td>ED</td><td>9.7365 (10), 9.8581 (9)</td></tr><tr><td>3</td><td>ED</td><td>9.1261 (10), 9.2586 (9)</td><td>7</td><td>ED</td><td>9.8531 (10), 9.9247 (9)</td></tr><tr><td>4</td><td>ED</td><td>9.3313 (10), 9.6976 (9)</td><td>8</td><td>ED</td><td>9.9618 (10), 9.9739 (9)</td></tr></tbody></table>

<table><caption>TABLE C: Scaling dimension for the sector $S = 6^+$, $L = 3$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>9.2870 (10), 9.2475 (9)</td><td>6</td><td>ED</td><td>10.0778 (10), 10.0467 (9)</td></tr><tr><td>2</td><td>ED</td><td>9.4076 (10), 9.4082 (9)</td><td>7</td><td>ED</td><td>10.0959 (10), 10.1158 (9)</td></tr><tr><td>3</td><td>ED</td><td>9.5419 (10), 9.4415 (9)</td><td>8</td><td>ED</td><td>10.2015 (10), 10.1235 (9)</td></tr><tr><td>4</td><td>ED</td><td>9.5760 (10), 9.9069 (9)</td><td>9</td><td>ED</td><td>10.2349 (10), 10.1508 (9)</td></tr><tr><td>5</td><td>ED</td><td>10.0490 (10), 9.9601 (9)</td><td>10</td><td>ED</td><td>10.2450 (10), 10.1969 (9)</td></tr></tbody></table>
<table><caption>TABLE CIII: Scaling dimension for the sector $S = 6^+$, $L = 6$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>9.4386 (10), 9.3638 (9)</td><td>6</td><td>ED</td><td>10.1929 (10), 10.0953 (9)</td></tr><tr><td>2</td><td>ED</td><td>9.6321 (10), 9.4849 (9)</td><td>7</td><td>ED</td><td>10.2057 (10), 10.1880 (9)</td></tr><tr><td>3</td><td>ED</td><td>9.6778 (10), 9.5436 (9)</td><td>8</td><td>ED</td><td>10.2681 (10), 10.2069 (9)</td></tr><tr><td>4</td><td>ED</td><td>9.7669 (10), 9.9766 (9)</td><td>9</td><td>ED</td><td>10.3581 (10), 10.2424 (9)</td></tr><tr><td>5</td><td>ED</td><td>10.1634 (10), 10.0230 (9)</td><td>10</td><td>ED</td><td>10.3869 (10), 10.2793 (9)</td></tr></tbody></table>

<table><caption>TABLE CIV: Scaling dimension for the sector $S = 6^+$, $L = 7$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>9.6507 (10), 9.4888 (9)</td><td>6</td><td>ED</td><td>10.3546 (10), 10.2977 (9)</td></tr><tr><td>2</td><td>ED</td><td>9.7343 (10), 9.5728 (9)</td><td>7</td><td>ED</td><td>10.4547 (10), 10.3196 (9)</td></tr><tr><td>3</td><td>ED</td><td>9.8444 (10), 9.9873 (9)</td><td>8</td><td>ED</td><td>10.4786 (10), 10.3838 (9)</td></tr><tr><td>4</td><td>ED</td><td>10.2030 (10), 10.1727 (9)</td><td>9</td><td>ED</td><td>10.4853 (10), 10.4063 (9)</td></tr><tr><td>5</td><td>ED</td><td>10.2494 (10), 10.2432 (9)</td><td>10</td><td>ED</td><td>10.5277 (10), 10.4546 (9)</td></tr></tbody></table>

<table><caption>TABLE CV: Scaling dimension for the sector $S = 6^-$, $L = 0$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>8.8069 (10), 8.8056 (9)</td><td>2</td><td>ED</td><td>10.1560 (10), 10.1037 (9)</td></tr></tbody></table>
<table><caption>TABLE CVI: Scaling dimension for the sector $S = 6^-, L = 1$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>7.6965 (10), 7.7054 (9)</td><td>4</td><td>ED</td><td>9.6059 (10), 9.5396 (9)</td></tr><tr><td>1</td><td>DMRG</td><td>7.5951 (20), 7.6357 (16)</td><td>5</td><td>ED</td><td>9.6489 (10), 9.6006 (9)</td></tr><tr><td>2</td><td>ED</td><td>8.6898 (10), 8.6714 (9)</td><td>6</td><td>ED</td><td>9.7043 (10), 9.7504 (9)</td></tr><tr><td>3</td><td>ED</td><td>9.1615 (10), 9.1474 (9)</td><td></td><td></td><td></td></tr></tbody></table>

<table><caption>TABLE CVII: Scaling dimension for the sector $S = 6^-, L = 2$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>8.0000 (10), 7.9747 (9)</td><td>5</td><td>ED</td><td>9.4364 (10), 9.3900 (9)</td></tr><tr><td>2</td><td>ED</td><td>8.4841 (10), 8.4383 (9)</td><td>6</td><td>ED</td><td>9.6877 (10), 9.6435 (9)</td></tr><tr><td>3</td><td>ED</td><td>8.8950 (10), 8.8474 (9)</td><td>7</td><td>ED</td><td>9.7390 (10), 9.7099 (9)</td></tr><tr><td>4</td><td>ED</td><td>9.3764 (10), 9.2962 (9)</td><td>8</td><td>ED</td><td>9.8744 (10), 9.7991 (9)</td></tr></tbody></table>

<table><caption>TABLE CVIII: Scaling dimension for the sector $S = 6^-, L = 3$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>8.2972 (10), 8.2377 (9)</td><td>6</td><td>ED</td><td>9.5447 (10), 9.5193 (9)</td></tr><tr><td>2</td><td>ED</td><td>8.6595 (10), 8.5683 (9)</td><td>7</td><td>ED</td><td>9.7130 (10), 9.6541 (9)</td></tr><tr><td>3</td><td>ED</td><td>9.0333 (10), 8.9160 (9)</td><td>8</td><td>ED</td><td>9.8615 (10), 9.8046 (9)</td></tr><tr><td>4</td><td>ED</td><td>9.1564 (10), 9.0755 (9)</td><td>9</td><td>ED</td><td>9.9305 (10), 9.8838 (9)</td></tr><tr><td>5</td><td>ED</td><td>9.4460 (10), 9.3297 (9)</td><td>10</td><td>ED</td><td>9.9721 (10), 9.9458 (9)</td></tr></tbody></table>
<table><caption>TABLE CIX: Scaling dimension for the sector $S = 6^-$, $L = 4$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>8.5252 (10), 8.4310 (9)</td><td>6</td><td>ED</td><td>9.5967 (10), 9.5933 (9)</td></tr><tr><td>2</td><td>ED</td><td>8.8163 (10), 8.6915 (9)</td><td>7</td><td>ED</td><td>9.6672 (10), 9.8462 (9)</td></tr><tr><td>3</td><td>ED</td><td>9.0868 (10), 8.9215 (9)</td><td>8</td><td>ED</td><td>9.8006 (10), 9.9389 (9)</td></tr><tr><td>4</td><td>ED</td><td>9.3766 (10), 9.2668 (9)</td><td>9</td><td>ED</td><td>9.9292 (10), 9.9646 (9)</td></tr><tr><td>5</td><td>ED</td><td>9.3794 (10), 9.4390 (9)</td><td>10</td><td>ED</td><td>10.0587 (10), 10.0548 (9)</td></tr></tbody></table>

<table><caption>TABLE CX: Scaling dimension for the sector $S = 6^-$, $L = 5$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>8.6829 (10), 8.5534 (9)</td><td>6</td><td>ED</td><td>9.7128 (10), 9.6653 (9)</td></tr><tr><td>2</td><td>ED</td><td>8.9074 (10), 8.7565 (9)</td><td>7</td><td>ED</td><td>9.7879 (10), 9.9306 (9)</td></tr><tr><td>3</td><td>ED</td><td>9.1316 (10), 8.9563 (9)</td><td>8</td><td>ED</td><td>9.8606 (10), 10.0130 (9)</td></tr><tr><td>4</td><td>ED</td><td>9.3389 (10), 9.4022 (9)</td><td>9</td><td>ED</td><td>10.0852 (10), 10.0846 (9)</td></tr><tr><td>5</td><td>ED</td><td>9.5458 (10), 9.5317 (9)</td><td>10</td><td>ED</td><td>10.1170 (10), 10.1497 (9)</td></tr></tbody></table>

<table><caption>TABLE CXI: Scaling dimension for the sector $S = 6^-$, $L = 6$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>8.8002 (10), 8.6367 (9)</td><td>6</td><td>ED</td><td>9.7824 (10), 9.6909 (9)</td></tr><tr><td>2</td><td>ED</td><td>8.9508 (10), 8.7754 (9)</td><td>7</td><td>ED</td><td>9.8563 (10), 9.9155 (9)</td></tr><tr><td>3</td><td>ED</td><td>9.1340 (10), 8.9485 (9)</td><td>8</td><td>ED</td><td>9.9185 (10), 10.1419 (9)</td></tr><tr><td>4</td><td>ED</td><td>9.3320 (10), 9.5054 (9)</td><td>9</td><td>ED</td><td>10.1011 (10), 10.2229 (9)</td></tr><tr><td>5</td><td>ED</td><td>9.6775 (10), 9.5895 (9)</td><td>10</td><td>ED</td><td>10.2882 (10), 10.2514 (9)</td></tr></tbody></table>
<table><caption>TABLE CXII: Scaling dimension for the sector $S = 6^-, L = 7$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>8.8993 (10), 8.7170 (9)</td><td>6</td><td>ED</td><td>9.9308 (10), 10.0589 (9)</td></tr><tr><td>2</td><td>ED</td><td>9.0838 (10), 8.8854 (9)</td><td>7</td><td>ED</td><td>10.0759 (10), 10.2131 (9)</td></tr><tr><td>3</td><td>ED</td><td>9.2752 (10), 9.5917 (9)</td><td>8</td><td>ED</td><td>10.2665 (10), 10.3378 (9)</td></tr><tr><td>4</td><td>ED</td><td>9.7822 (10), 9.6715 (9)</td><td>9</td><td>ED</td><td>10.2825 (10), 10.6125 (9)</td></tr><tr><td>5</td><td>ED</td><td>9.8742 (10), 9.8629 (9)</td><td>10</td><td>ED</td><td>10.3953 (10), 10.6627 (9)</td></tr></tbody></table>

H. $S = 7$:

<figure><img src="image_21.png" /><figcaption>FIG. 15: Spectrum in the $S = 7^+$ sector.</figcaption></figure>

<figure><img src="image_22.png" /><figcaption>FIG. 16: Spectrum in the $S = 7^-$ sector.</figcaption></figure>
<table><caption>TABLE CXIII: Scaling dimension for the sector $S = 7^+$, $L = 0$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>10.3983 (10)</td><td></td><td></td><td></td></tr></tbody></table>

<table><caption>TABLE CXIV: Scaling dimension for the sector $S = 7^+$, $L = 1$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>9.3458 (10)</td><td>3</td><td>ED</td><td>10.7255 (10)</td></tr><tr><td>1</td><td>DMRG</td><td>9.1532 (20), 9.2270 (16)</td><td>4</td><td>ED</td><td>11.1102 (10)</td></tr><tr><td>2</td><td>ED</td><td>10.2818 (10)</td><td>5</td><td>ED</td><td>11.1805 (10)</td></tr></tbody></table>

<table><caption>TABLE CXV: Scaling dimension for the sector $S = 7^+$, $L = 2$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>9.6012 (10)</td><td>4</td><td>ED</td><td>10.8940 (10)</td></tr><tr><td>2</td><td>ED</td><td>10.0748 (10)</td><td>5</td><td>ED</td><td>10.9786 (10)</td></tr><tr><td>3</td><td>ED</td><td>10.4556 (10)</td><td></td><td></td><td></td></tr></tbody></table>
<table><caption>TABLE CXVI: Scaling dimension for the sector $S = 7^+$, $L = 3$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>9.8639 (10)</td><td>4</td><td>ED</td><td>10.6808 (10)</td></tr><tr><td>2</td><td>ED</td><td>10.2074 (10)</td><td>5</td><td>ED</td><td>10.9424 (10)</td></tr><tr><td>3</td><td>ED</td><td>10.5616 (10)</td><td>6</td><td>ED</td><td>11.1448 (10)</td></tr></tbody></table>

<table><caption>TABLE CXVII: Scaling dimension for the sector $S = 7^+$, $L = 4$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>10.0686 (10)</td><td>4</td><td>ED</td><td>10.8779 (10)</td></tr><tr><td>2</td><td>ED</td><td>10.3459 (10)</td><td>5</td><td>ED</td><td>11.0600 (10)</td></tr><tr><td>3</td><td>ED</td><td>10.5834 (10)</td><td></td><td></td><td></td></tr></tbody></table>

<table><caption>TABLE CXVIII: Scaling dimension for the sector $S = 7^+$, $L = 5$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>10.2020 (10)</td><td>6</td><td>ED</td><td>11.3051 (10)</td></tr><tr><td>2</td><td>ED</td><td>10.4315 (10)</td><td>7</td><td>ED</td><td>11.5789 (10)</td></tr><tr><td>3</td><td>ED</td><td>10.6430 (10)</td><td>8</td><td>ED</td><td>11.5910 (10)</td></tr><tr><td>4</td><td>ED</td><td>11.0197 (10)</td><td>9</td><td>ED</td><td>11.6758 (10)</td></tr><tr><td>5</td><td>ED</td><td>11.1664 (10)</td><td>10</td><td>ED</td><td>11.7591 (10)</td></tr></tbody></table>
<table><caption>TABLE CXIX: Scaling dimension for the sector $S = 7^+$, $L = 6$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>10.2850 (10)</td><td>6</td><td>ED</td><td>11.3472 (10)</td></tr><tr><td>2</td><td>ED</td><td>10.4683 (10)</td><td>7</td><td>ED</td><td>11.5898 (10)</td></tr><tr><td>3</td><td>ED</td><td>10.6652 (10)</td><td>8</td><td>ED</td><td>11.7208 (10)</td></tr><tr><td>4</td><td>ED</td><td>11.1174 (10)</td><td>9</td><td>ED</td><td>11.7784 (10)</td></tr><tr><td>5</td><td>ED</td><td>11.2330 (10)</td><td>10</td><td>ED</td><td>11.8490 (10)</td></tr></tbody></table>

<table><caption>TABLE CXX: Scaling dimension for the sector $S = 7^+$, $L = 7$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>10.3451 (10)</td><td>6</td><td>ED</td><td>11.3467 (10)</td></tr><tr><td>2</td><td>ED</td><td>10.4773 (10)</td><td>7</td><td>ED</td><td>11.5639 (10)</td></tr><tr><td>3</td><td>ED</td><td>10.6430 (10)</td><td>8</td><td>ED</td><td>11.7971 (10)</td></tr><tr><td>4</td><td>ED</td><td>11.1962 (10)</td><td>9</td><td>ED</td><td>11.8959 (10)</td></tr><tr><td>5</td><td>ED</td><td>11.2794 (10)</td><td>10</td><td>ED</td><td>11.9282 (10)</td></tr></tbody></table>

<table><caption>TABLE CXXI: Scaling dimension for the sector $S = 7^-$, $L = 0$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>7.4991 (10)</td><td>2</td><td>ED</td><td>9.5674 (10)</td></tr><tr><td>1</td><td>DMRG</td><td>7.2265 (20), 7.3220 (16)</td><td>3</td><td>ED</td><td>11.1251 (10)</td></tr></tbody></table>
<table><caption>TABLE CXXII: Scaling dimension for the sector $S = 7^-$, $L = 1$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>8.4354 (10)</td><td>3</td><td>ED</td><td>10.7230 (10)</td></tr><tr><td>2</td><td>ED</td><td>10.3625 (10)</td><td></td><td></td><td></td></tr></tbody></table>

<table><caption>TABLE CXXIII: Scaling dimension for the sector $S = 7^-$, $L = 2$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>9.1508 (10)</td><td>3</td><td>ED</td><td>10.2780 (10)</td></tr><tr><td>2</td><td>ED</td><td>9.4721 (10)</td><td>4</td><td>ED</td><td>10.9884 (10)</td></tr></tbody></table>

<table><caption>TABLE CXXIV: Scaling dimension for the sector $S = 7^-$, $L = 3$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>9.6538 (10)</td><td>4</td><td>ED</td><td>10.7293 (10)</td></tr><tr><td>2</td><td>ED</td><td>10.1238 (10)</td><td>5</td><td>ED</td><td>11.1397 (10)</td></tr><tr><td>3</td><td>ED</td><td>10.3304 (10)</td><td></td><td></td><td></td></tr></tbody></table>
<table><caption>TABLE CXXV: Scaling dimension for the sector $S = 7^-, L = 4$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>10.5577 (10)</td><td>3</td><td>ED</td><td>10.9116 (10)</td></tr><tr><td>2</td><td>ED</td><td>10.6866 (10)</td><td></td><td></td><td></td></tr></tbody></table>

<table><caption>TABLE CXXVI: Scaling dimension for the sector $S = 7^-, L = 5$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>10.9587 (10)</td><td>6</td><td>ED</td><td>11.7166 (10)</td></tr><tr><td>2</td><td>ED</td><td>11.0714 (10)</td><td>7</td><td>ED</td><td>11.7765 (10)</td></tr><tr><td>3</td><td>ED</td><td>11.1654 (10)</td><td>8</td><td>ED</td><td>11.8664 (10)</td></tr><tr><td>4</td><td>ED</td><td>11.6105 (10)</td><td>9</td><td>ED</td><td>11.9142 (10)</td></tr><tr><td>5</td><td>ED</td><td>11.6784 (10)</td><td>10</td><td>ED</td><td>11.9582 (10)</td></tr></tbody></table>

<table><caption>TABLE CXXVII: Scaling dimension for the sector $S = 7^-, L = 6$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>11.0987 (10)</td><td>6</td><td>ED</td><td>11.8683 (10)</td></tr><tr><td>2</td><td>ED</td><td>11.2376 (10)</td><td>7</td><td>ED</td><td>11.9624 (10)</td></tr><tr><td>3</td><td>ED</td><td>11.2771 (10)</td><td>8</td><td>ED</td><td>12.0016 (10)</td></tr><tr><td>4</td><td>ED</td><td>11.7152 (10)</td><td>9</td><td>ED</td><td>12.0089 (10)</td></tr><tr><td>5</td><td>ED</td><td>11.7761 (10)</td><td>10</td><td>ED</td><td>12.0492 (10)</td></tr></tbody></table>
<table><caption>TABLE CXXVIII: Scaling dimension for the sector $S = 7^-$, $L = 7$. For the ED and DMRG data, the numbers in bracket is the corresponding system size. For the $\epsilon$-expansion and large-$N$ expansion, the numbers in the bracket indicate the order of the expansion.</caption><thead><tr><th>Index</th><th>Method</th><th>Δ</th><th>Index</th><th>Method</th><th>Δ</th></tr></thead><tbody><tr><td>1</td><td>ED</td><td>11.1826 (10)</td><td>6</td><td>ED</td><td>11.9056 (10)</td></tr><tr><td>2</td><td>ED</td><td>11.2537 (10)</td><td>7</td><td>ED</td><td>11.9972 (10)</td></tr><tr><td>3</td><td>ED</td><td>11.3448 (10)</td><td>8</td><td>ED</td><td>12.0101 (10)</td></tr><tr><td>4</td><td>ED</td><td>11.7488 (10)</td><td>9</td><td>ED</td><td>12.0522 (10)</td></tr><tr><td>5</td><td>ED</td><td>11.8191 (10)</td><td>10</td><td>ED</td><td>12.0931 (10)</td></tr></tbody></table>

X. OPE DATA FOR ALL SECTORS

A. $S=0$:

<figure><img src="image_23.png" /><figcaption>FIG. 17: OPE coefficients for $S = 0^\pm$ sectors</figcaption></figure>
<table><caption>TABLE CXXIX: Diagonal $\epsilon$ OPEs for $S = 0^+$ sector</caption><thead><tr><th>L</th><th>Index</th><th>λ<sub>OεO</sub> (ED)</th><th>λ<sub>OεO</sub> (DMRG)</th><th>L</th><th>Index</th><th>λ<sub>OεO</sub> (ED)</th><th>λ<sub>OεO</sub> (DMRG)</th></tr></thead><tbody><tr><td>0</td><td>0 (Ω)</td><td>0.0000 (N = 10)</td><td>0.0000 (N = 18)</td><td>2</td><td>3</td><td>1.1578 (N = 10)</td><td>—</td></tr><tr><td>0</td><td>1 (ε)</td><td>0.5328 (N = 10)</td><td>0.4803 (N = 18)</td><td>2</td><td>4</td><td>1.1114 (N = 10)</td><td>—</td></tr><tr><td>0</td><td>2 (∂∂ε<sup>(0)</sup>)</td><td>0.6198 (N = 10)</td><td>—</td><td>3</td><td>0 (∂T<sub>μν</sub>)</td><td>0.3946 (N = 10)</td><td>0.3814 (N = 18)</td></tr><tr><td>0</td><td>3 (ε')</td><td>1.0795 (N = 10)</td><td>—</td><td>3</td><td>1 (∂∂∂ε<sup>(3)</sup>)</td><td>0.2062 (N = 10)</td><td>—</td></tr><tr><td>0</td><td>4</td><td>1.1806 (N = 10)</td><td>—</td><td>3</td><td>2</td><td>0.8304 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>0 (∂ε)</td><td>0.4027 (N = 10)</td><td>0.3662 (N = 18)</td><td>4</td><td>0</td><td>0.3609 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>1 (∂∂∂ε<sup>(1)</sup>)</td><td>0.9653 (N = 10)</td><td>—</td><td>4</td><td>1</td><td>0.2667 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>2</td><td>0.6542 (N = 10)</td><td>—</td><td>4</td><td>2</td><td>0.4987 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>0 (T<sub>μν</sub>)</td><td>0.4724 (N = 10)</td><td>0.4611 (N = 18)</td><td>5</td><td>0</td><td>0.3472 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>1 (∂∂ε<sup>(2)</sup>)</td><td>0.2964 (N = 10)</td><td>0.2931 (N = 18)</td><td>6</td><td>0</td><td>0.3446 (N = 9)</td><td>—</td></tr><tr><td>2</td><td>2 (ε∂T<sub>μν</sub>)</td><td>0.3783 (N = 10)</td><td>—</td><td>7</td><td>0</td><td>0.3623 (N = 9)</td><td>—</td></tr></tbody></table>

<table><caption>TABLE CXXX: Diagonal $\epsilon$ OPEs for $S = 0^-$ sector</caption><thead><tr><th>L</th><th>Index</th><th>λ<sub>OεO</sub> (ED)</th><th>λ<sub>OεO</sub> (DMRG)</th><th>L</th><th>Index</th><th>λ<sub>OεO</sub> (ED)</th><th>λ<sub>OεO</sub> (DMRG)</th></tr></thead><tbody><tr><td>0</td><td>0 (∂ε<sup>(0)</sup>)</td><td>0.7463 (N = 10)</td><td>—</td><td>4</td><td>0</td><td>0.7643 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>0 (ε<sub>μ</sub>)</td><td>1.1328 (N = 10)</td><td>1.0491 (N = 18)</td><td>4</td><td>1</td><td>0.7298 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>1 (ε∂ε<sub>μ</sub>)</td><td>0.9388 (N = 10)</td><td>—</td><td>5</td><td>0</td><td>0.7064 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>2</td><td>0.6619 (N = 10)</td><td>—</td><td>5</td><td>1</td><td>0.6417 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>0 (∂ε<sup>(2)</sup>)</td><td>1.0053 (N = 10)</td><td>—</td><td>6</td><td>0</td><td>0.6700 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>1</td><td>0.6335 (N = 10)</td><td>—</td><td>7</td><td>0</td><td>0.6735 (N = 9)</td><td>—</td></tr><tr><td>2</td><td>2</td><td>0.7066 (N = 10)</td><td>—</td><td>7</td><td>1</td><td>0.6165 (N = 9)</td><td>—</td></tr><tr><td>3</td><td>0</td><td>0.8487 (N = 10)</td><td>—</td><td>8</td><td>0</td><td>0.6109 (N = 9)</td><td>—</td></tr><tr><td>3</td><td>1</td><td>0.8576 (N = 10)</td><td>—</td><td>9</td><td>0</td><td>0.6078 (N = 9)</td><td>—</td></tr><tr><td>3</td><td>2</td><td>0.7258 (N = 10)</td><td>—</td><td></td><td></td><td></td><td></td></tr></tbody></table>

B. $S = 1$:

<table><caption>TABLE CXXXI: Diagonal $\epsilon$ OPEs for $S = 1^+$ sector</caption><thead><tr><th>L</th><th>Index</th><th>λ<sub>OεO</sub> (ED)</th><th>λ<sub>OεO</sub> (DMRG)</th><th>L</th><th>Index</th><th>λ<sub>OεO</sub> (ED)</th><th>λ<sub>OεO</sub> (DMRG)</th></tr></thead><tbody><tr><td>0</td><td>0</td><td>1.2750 (N = 5)</td><td>—</td><td>2</td><td>5</td><td>1.3313 (N = 10)</td><td>—</td></tr><tr><td>0</td><td>1</td><td>1.2261 (N = 5)</td><td>—</td><td>2</td><td>6</td><td>0.4374 (N = 10)</td><td>—</td></tr><tr><td>0</td><td>2</td><td>1.0778 (N = 5)</td><td>—</td><td>3</td><td>0 (∂∂j<sub>μ</sub>)</td><td>0.4589 (N = 10)</td><td>0.4873 (N = 18)</td></tr><tr><td>1</td><td>0 (j<sub>μ</sub>)</td><td>0.7509 (N = 10)</td><td>0.7387 (N = 18)</td><td>3</td><td>1</td><td>0.2606 (N = 10)</td><td>0.2388 (N = 18)</td></tr><tr><td>1</td><td>1 (ε∂j<sub>μ</sub>)</td><td>0.4434 (N = 10)</td><td>0.3815 (N = 18)</td><td>3</td><td>2</td><td>0.3685 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>2 (φ<sub>μ</sub>)</td><td>0.3503 (N = 10)</td><td>0.2547 (N = 18)</td><td>3</td><td>3</td><td>1.2517 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>3</td><td>1.3036 (N = 10)</td><td>—</td><td>3</td><td>4</td><td>1.0977 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>4</td><td>1.4510 (N = 10)</td><td>—</td><td>3</td><td>5</td><td>1.2016 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>5</td><td>1.3745 (N = 10)</td><td>—</td><td>4</td><td>0 (∂∂∂j<sub>μ</sub>)</td><td>0.3532 (N = 10)</td><td>0.3742 (N = 18)</td></tr><tr><td>1</td><td>6</td><td>0.9008 (N = 10)</td><td>—</td><td>4</td><td>1</td><td>0.4091 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>0 (∂j<sub>μ</sub>)</td><td>0.6004 (N = 10)</td><td>0.6187 (N = 18)</td><td>5</td><td>0</td><td>0.2907 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>1 (ε∂j<sub>μ</sub>)</td><td>0.3535 (N = 10)</td><td>0.3064 (N = 18)</td><td>6</td><td>0</td><td>0.2662 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>2</td><td>1.4029 (N = 10)</td><td>—</td><td>7</td><td>0</td><td>0.2628 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>3</td><td>1.1721 (N = 10)</td><td>—</td><td>8</td><td>0</td><td>0.2669 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>4</td><td>1.0266 (N = 10)</td><td>—</td><td>9</td><td>0</td><td>0.2716 (N = 10)</td><td>—</td></tr></tbody></table>
<figure><img src="image_24.png" /><figcaption>FIG. 18: OPE coefficients for $S = 1^{\pm}$ sectors</figcaption></figure>
<table><caption>TABLE CXXXII: Diagonal $\epsilon$ OPEs for $S = 1^-$ sector</caption><thead><tr><th>L</th><th>Index</th><th>λ<sub>OεO</sub> (ED)</th><th>λ<sub>OεO</sub> (DMRG)</th><th>L</th><th>Index</th><th>λ<sub>OεO</sub> (ED)</th><th>λ<sub>OεO</sub> (DMRG)</th></tr></thead><tbody><tr><td>0</td><td>0 (σ)</td><td>0.5250 (N = 10)</td><td>0.5250 (N = 18)</td><td>2</td><td>6</td><td>0.6672 (N = 10)</td><td>—</td></tr><tr><td>0</td><td>1 (∂∂σ<sup>(0)</sup>)</td><td>1.0228 (N = 10)</td><td>—</td><td>2</td><td>7</td><td>0.6695 (N = 10)</td><td>—</td></tr><tr><td>0</td><td>2 (σ')</td><td>0.8717 (N = 10)</td><td>—</td><td>3</td><td>0 (∂∂∂σ<sup>(3)</sup>)</td><td>0.1111 (N = 10)</td><td>0.0791 (N = 18)</td></tr><tr><td>0</td><td>3 (∂∂∂∂σ<sup>(0)</sup>)</td><td>0.8632 (N = 10)</td><td>—</td><td>3</td><td>1</td><td>0.6271 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>0 (∂σ)</td><td>0.1474 (N = 10)</td><td>0.1474 (N = 18)</td><td>3</td><td>2</td><td>0.6891 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>1 (σ<sub>μ</sub>)</td><td>0.9628 (N = 10)</td><td>0.9021 (N = 18)</td><td>3</td><td>3</td><td>0.7616 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>2 (∂∂∂σ<sup>(1)</sup>)</td><td>0.8720 (N = 10)</td><td>0.8196 (N = 18)</td><td>3</td><td>4</td><td>0.5298 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>3</td><td>0.7954 (N = 10)</td><td>0.7238 (N = 18)</td><td>3</td><td>5</td><td>0.6363 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>4</td><td>0.7206 (N = 10)</td><td>—</td><td>4</td><td>0</td><td>0.1820 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>5</td><td>0.7099 (N = 10)</td><td>—</td><td>4</td><td>1</td><td>0.3437 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>6</td><td>0.6677 (N = 10)</td><td>—</td><td>4</td><td>2</td><td>0.5510 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>0 (∂∂σ<sup>(2)</sup>)</td><td>0.0542 (N = 10)</td><td>0.0669 (N = 18)</td><td>5</td><td>0</td><td>0.1599 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>1</td><td>0.9316 (N = 10)</td><td>0.9482 (N = 18)</td><td>5</td><td>1</td><td>0.5442 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>2</td><td>0.8268 (N = 10)</td><td>0.8000 (N = 18)</td><td>6</td><td>0</td><td>0.1289 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>3</td><td>0.8181 (N = 10)</td><td>—</td><td>7</td><td>0</td><td>0.1198 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>4</td><td>0.7301 (N = 10)</td><td>—</td><td>8</td><td>0</td><td>0.1252 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>5</td><td>0.6995 (N = 10)</td><td>—</td><td>9</td><td>0</td><td>0.1344 (N = 10)</td><td>—</td></tr></tbody></table>
C. $S=2:$

<figure><img src="image_25.png" /><figcaption>FIG. 19: OPE coefficients for $S = 2^{\pm}$ sectors</figcaption></figure>
<table><caption>TABLE CXXXIII: Diagonal $\epsilon$ OPEs for $S = 2^+$ sector</caption><thead><tr><th>L</th><th>Index</th><th>λ<sub>εO</sub> (ED)</th><th>λ<sub>εO</sub> (DMRG)</th><th>L</th><th>Index</th><th>λ<sub>εO</sub> (ED)</th><th>λ<sub>εO</sub> (DMRG)</th></tr></thead><tbody><tr><td>0</td><td>0 (t<sub>(2)</sub>)</td><td>0.9840 (N = 10)</td><td>0.9871 (N = 18)</td><td>2</td><td>5</td><td>1.2779 (N = 10)</td><td>—</td></tr><tr><td>0</td><td>1 (∂∂t<sup>(0)</sup><sub>(2)</sub>)</td><td>0.8460 (N = 10)</td><td>0.4774 (N = 18)</td><td>2</td><td>6</td><td>1.2345 (N = 10)</td><td>—</td></tr><tr><td>0</td><td>2 (t'<sub>(2)</sub>)</td><td>0.8848 (N = 10)</td><td>1.2059 (N = 18)</td><td>3</td><td>0</td><td>0.3296 (N = 10)</td><td>0.3188 (N = 18)</td></tr><tr><td>0</td><td>3 (t''<sub>(2)</sub>)</td><td>1.4009 (N = 10)</td><td>—</td><td>3</td><td>1</td><td>0.4057 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>0 (∂t<sub>(2)</sub>)</td><td>0.6646 (N = 10)</td><td>0.6780 (N = 18)</td><td>3</td><td>2</td><td>1.2131 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>1 (∂∂∂t<sup>(1)</sup><sub>(2)</sub>)</td><td>1.3995 (N = 10)</td><td>—</td><td>3</td><td>3</td><td>1.1945 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>2</td><td>1.1314 (N = 10)</td><td>—</td><td>3</td><td>4</td><td>0.9792 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>3</td><td>0.5319 (N = 10)</td><td>—</td><td>4</td><td>0</td><td>0.5132 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>4</td><td>1.0561 (N = 10)</td><td>—</td><td>4</td><td>1</td><td>0.2633 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>0 (t'<sub>(2)μ</sub>)</td><td>0.3745 (N = 10)</td><td>0.3817 (N = 18)</td><td>5</td><td>0</td><td>0.5483 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>1 (∂∂t<sup>(2)</sup><sub>(2)</sub>)</td><td>0.4912 (N = 10)</td><td>0.5409 (N = 18)</td><td>6</td><td>0</td><td>0.5071 (N = 9)</td><td>—</td></tr><tr><td>2</td><td>2</td><td>0.9195 (N = 10)</td><td>—</td><td>7</td><td>0</td><td>0.5204 (N = 9)</td><td>—</td></tr><tr><td>2</td><td>3</td><td>0.8937 (N = 10)</td><td>—</td><td>8</td><td>0</td><td>0.5403 (N = 9)</td><td>—</td></tr><tr><td>2</td><td>4</td><td>1.2309 (N = 10)</td><td>—</td><td></td><td></td><td></td><td></td></tr></tbody></table>

<table><caption>TABLE CXXXIV: Diagonal $\epsilon$ OPEs for $S = 2^-$ sector</caption><thead><tr><th>L</th><th>Index</th><th>λ<sub>εO</sub> (ED)</th><th>λ<sub>εO</sub> (DMRG)</th><th>L</th><th>Index</th><th>λ<sub>εO</sub> (ED)</th><th>λ<sub>εO</sub> (DMRG)</th></tr></thead><tbody><tr><td>0</td><td>0 (∂t<sup>(0)</sup><sub>(2)μ</sub>)</td><td>0.9077 (N = 10)</td><td>—</td><td>3</td><td>1</td><td>0.8682 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>0 (t<sub>(2)μ</sub>)</td><td>1.2306 (N = 10)</td><td>1.2227 (N = 18)</td><td>3</td><td>2</td><td>0.7153 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>1 (ε∂t<sup>(1)</sup><sub>(2)μ</sub>)</td><td>0.9478 (N = 10)</td><td>0.9248 (N = 18)</td><td>3</td><td>3</td><td>0.7119 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>2</td><td>0.7424 (N = 10)</td><td>—</td><td>4</td><td>0</td><td>0.8546 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>3</td><td>0.7788 (N = 10)</td><td>—</td><td>4</td><td>1</td><td>0.7455 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>4</td><td>0.7091 (N = 10)</td><td>—</td><td>5</td><td>0</td><td>0.7895 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>0 (t'<sub>(2)μν</sub>)</td><td>1.0474 (N = 10)</td><td>1.0120 (N = 18)</td><td>5</td><td>1</td><td>0.6659 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>1 (∂t<sup>(2)</sup><sub>(2)μ</sub>)</td><td>1.0289 (N = 10)</td><td>1.0384 (N = 18)</td><td>6</td><td>0</td><td>0.7567 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>2</td><td>0.8295 (N = 10)</td><td>—</td><td>7</td><td>0</td><td>0.7455 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>3</td><td>0.7440 (N = 10)</td><td>—</td><td>8</td><td>0</td><td>0.7436 (N = 10)</td><td>—</td></tr><tr><td>2</td><td>4</td><td>0.7721 (N = 10)</td><td>—</td><td>9</td><td>0</td><td>0.7441 (N = 10)</td><td>—</td></tr><tr><td>3</td><td>0</td><td>0.9482 (N = 10)</td><td>—</td><td>10</td><td>0</td><td>0.5039 (N = 10)</td><td>—</td></tr></tbody></table>

D. $S = 3$:

<table><caption>TABLE CXXXV: Diagonal $\epsilon$ OPEs for $S = 3^+$ sector</caption><thead><tr><th>L</th><th>Index</th><th>λ<sub>εO</sub> (ED)</th><th>λ<sub>εO</sub> (DMRG)</th><th>L</th><th>Index</th><th>λ<sub>εO</sub> (ED)</th><th>λ<sub>εO</sub> (DMRG)</th></tr></thead><tbody><tr><td>0</td><td>0 (∂χ<sup>(0)</sup><sub>(3)μ</sub>)</td><td>1.3526 (N = 10)</td><td>—</td><td>3</td><td>1</td><td>1.3394 (N = 10)</td><td>—</td></tr><tr><td>1</td><td>0 (χ<sub>(3)μ</sub>)</td><td>1.6604 (N = 10)</td><td>1.6521 (N = 18)</td><td>4</td><td>0</td><td>1.3772 (N = 7)</td><td>—</td></tr><tr><td>1</td><td>1 (ε∂χ<sup>(1)</sup><sub>(3)μ</sub>)</td><td>1.3858 (N = 10)</td><td>—</td><td>5</td><td>0</td><td>1.3746 (N = 6)</td><td>—</td></tr><tr><td>2</td><td>0 (χ<sub>(3)μν</sub>)</td><td>1.5140 (N = 10)</td><td>—</td><td>9</td><td>0</td><td>0.9694 (N = 9)</td><td>—</td></tr><tr><td>2</td><td>1 (∂χ<sup>(2)</sup><sub>(3)μ</sub>)</td><td>1.4536 (N = 10)</td><td>—</td><td>10</td><td>0</td><td>0.9525 (N = 10)</td><td>—</td></tr><tr><td>3</td><td>0</td><td>1.3815 (N = 10)</td><td>—</td><td></td><td></td><td></td><td></td></tr></tbody></table>
<figure><img src="image_26.png" /><figcaption>FIG. 20: OPE coefficients for $S = 3^{\pm}$ sectors</figcaption></figure>

<table><caption>TABLE CXXXVI: Diagonal $\epsilon$ OPEs for $S = 3^{-}$ sector</caption><thead><tr><th>L</th><th>Index</th><th>λ<sub>εO</sub> (ED)</th><th>λ<sub>εO</sub> (DMRG)</th><th>L</th><th>Index</th><th>λ<sub>εO</sub> (ED)</th><th>λ<sub>εO</sub> (DMRG)</th></tr></thead><tbody><tr><td>0</td><td>0 (σ<sub>(3)</sub>)</td><td>1.4019 (N = 10)</td><td>1.4097 (N = 18)</td><td>4</td><td>2</td><td>1.8321 (N = 5)</td><td>—</td></tr><tr><td>0</td><td>1 (∂∂σ<sup>(0)</sup><sub>(3)</sub>)</td><td>0.9629 (N = 10)</td><td>—</td><td>4</td><td>3</td><td>1.7899 (N = 5)</td><td>—</td></tr><tr><td>1</td><td>0 (∂σ<sub>(3)</sub>)</td><td>1.1141 (N = 10)</td><td>1.1455 (N = 18)</td><td>4</td><td>4</td><td>0.1674 (N = 5)</td><td>—</td></tr><tr><td>2</td><td>0 (σ<sub>(3)μν</sub>)</td><td>0.8455 (N = 10)</td><td>0.8996 (N = 18)</td><td>4</td><td>5</td><td>-0.1616 (N = 5)</td><td>—</td></tr><tr><td>2</td><td>1 (∂∂σ<sup>(2)</sup><sub>(3)</sub>)</td><td>0.9065 (N = 10)</td><td>—</td><td>5</td><td>0</td><td>1.7514 (N = 5)</td><td>—</td></tr><tr><td>3</td><td>0 (∂∂∂σ<sup>(3)</sup><sub>(3)</sub>)</td><td>0.6484 (N = 10)</td><td>—</td><td>5</td><td>1</td><td>1.7506 (N = 5)</td><td>—</td></tr><tr><td>4</td><td>0</td><td>0.8347 (N = 5)</td><td>—</td><td>5</td><td>2</td><td>0.1058 (N = 5)</td><td>—</td></tr><tr><td>4</td><td>1</td><td>1.4946 (N = 5)</td><td>—</td><td>5</td><td>3</td><td>-0.3275 (N = 5)</td><td>—</td></tr></tbody></table>

E. $S = 4$:
<table><caption>TABLE CXXXVII: Diagonal $\epsilon$ OPEs for $S = 4^+$ sector</caption><thead><tr><th>L</th><th>Index</th><th>λ<sub>εε</sub> (ED)</th><th>λ<sub>εε</sub> (DMRG)</th><th>L</th><th>Index</th><th>λ<sub>εε</sub> (ED)</th><th>λ<sub>εε</sub> (DMRG)</th></tr></thead><tbody><tr><td>0</td><td>0 (t<sub>(4)</sub>)</td><td>1.7886 (N = 10)</td><td>1.8049 (N = 18)</td><td>2</td><td>1 (∂∂t<sup>(2)</sup><sub>(4)</sub>)</td><td>-</td><td>1.3910 (N = 18)</td></tr><tr><td>1</td><td>0 (∂t<sup>(1)</sup><sub>(4)</sub>)</td><td>1.5197 (N = 10)</td><td>1.5682 (N = 18)</td><td>3</td><td>0</td><td>0.8941 (N = 5)</td><td>-</td></tr><tr><td>2</td><td>0 (t<sub>(4)μν</sub>)</td><td>1.0765 (N = 5)</td><td>1.3565 (N = 18)</td><td>4</td><td>0</td><td>0.8515 (N = 5)</td><td>-</td></tr></tbody></table>

<table><caption>TABLE CXXXVIII: Diagonal $\epsilon$ OPEs for $S = 4^-$ sector</caption><thead><tr><th>L</th><th>Index</th><th>λ<sub>εε</sub> (ED)</th><th>λ<sub>εε</sub> (DMRG)</th><th>L</th><th>Index</th><th>λ<sub>εε</sub> (ED)</th><th>λ<sub>εε</sub> (DMRG)</th></tr></thead><tbody><tr><td>0</td><td>0</td><td>2.1557 (N = 5)</td><td>-</td><td>3</td><td>0</td><td>1.9738 (N = 5)</td><td>-</td></tr><tr><td>1</td><td>0</td><td>2.0522 (N = 10)</td><td>2.0563 (N = 18)</td><td>4</td><td>0</td><td>1.9506 (N = 5)</td><td>-</td></tr><tr><td>2</td><td>0</td><td>2.0308 (N = 5)</td><td>-</td><td></td><td></td><td></td><td></td></tr></tbody></table>

F. $S = 5$:

<table><caption>TABLE CXXXIX: Diagonal $\epsilon$ OPEs for $S = 5^-$ sector</caption><thead><tr><th>L</th><th>Index</th><th>λ<sub>εε</sub> (ED)</th><th>λ<sub>εε</sub> (DMRG)</th><th>L</th><th>Index</th><th>λ<sub>εε</sub> (ED)</th><th>λ<sub>εε</sub> (DMRG)</th></tr></thead><tbody><tr><td>0</td><td>0 (σ<sub>(5)</sub>)</td><td>2.1494 (N = 10)</td><td>2.1794 (N = 18)</td><td></td><td></td><td></td><td></td></tr></tbody></table>

G. $S = 6$:

<table><caption>TABLE CXL: Diagonal $\epsilon$ OPEs for $S = 6^+$ sector</caption><thead><tr><th>L</th><th>Index</th><th>λ<sub>εε</sub> (ED)</th><th>λ<sub>εε</sub> (DMRG)</th><th>L</th><th>Index</th><th>λ<sub>εε</sub> (ED)</th><th>λ<sub>εε</sub> (DMRG)</th></tr></thead><tbody><tr><td>0</td><td>0</td><td>-</td><td>2.5347 (N = 18)</td><td></td><td></td><td></td><td></td></tr></tbody></table>

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