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CodeNonMonoAVs.html
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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<td><big><a href="index.html">Home</a></big></td>
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<b><font size="+2">Code and Computations</font></b>
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<big>Here are the SageMath worksheets used to establish the tables below:
<br />
<a href="Non-MonoAVsDim2.ipynb">Abelian Surfaces</a><br />
<a href="Non-MonoAVsDim3.ipynb">Abelian Threefolds</a><br />
<a href="Non-MonoAbelian4folds.ipynb">Abelian Fourfolds</a>
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<table align="center" border="2" cellpadding="4" cellspacing="1" width="70%">
<thead>
<tr>
<th colspan="4">n < 1,000 where 2 is a common index divisors with dim A = 2</th>
</tr>
</thead>
<tbody>
<tr> <td> a<sub>3</sub> </td> <td> a<sub>2</sub> </td> <td> p-rank </td> <td> non-monogenic n </td> </tr>
<tr> <td>-3 </td> <td> 5 </td> <td> 2 </td> <td> 3, 19, 31, 57, 61, 93, 171, 183, 589, 981 </td> </tr> <tr> <td>
-2 </td> <td> 2 </td> <td> 0 </td> <td> 5, 7, 9, 13, 15, 21, 35, 37, 39, 45, 51, 61, 63, 65, 85, 91, 105, 109, 111, 117, 119, 133, 135, 153, 171, 185, 189, 195, 205, 219, 221, 241, 247, 255, 259, 273, 285, 305, 315, 325, 327, 333, 351, 357, 365, 377, 399, 455, 481, 485, 511, 513, 533, 545, 555, 565, 585, 595, 657, 663, 665, 673, 679, 703, 723, 741, 763, 765, 771, 777, 793, 819, 855, 873, 945, 949, 981, 999 </td> </tr> <tr> <td>
-2 </td> <td> 3 </td> <td> 2 </td> <td> 7, 47 </td> </tr> <tr> <td>
-1 </td> <td> -1 </td> <td> 2 </td> <td> 5, 9, 11, 15, 23, 37, 43, 45, 67, 111, 127, 135, 151, 185, 203, 301, 333, 555, 999 </td> </tr> <tr> <td>
-1 </td> <td> 0 </td> <td> 1 </td> <td> 47 </td> </tr> <tr> <td>
-1 </td> <td> 1 </td> <td> 2 </td> <td> 3, 9, 103, 127 </td> </tr> <tr> <td>
-1 </td> <td> 3 </td> <td> 2 </td> <td> 5, 15, 59 </td> </tr> <tr> <td>
0 </td> <td> -3 </td> <td> 2 </td> <td> 3, 5, 9, 11, 15, 23, 29, 33, 37, 45, 53, 87, 111, 135, 137, 185, 203, 233, 281, 301, 333, 555, 999 </td> </tr> <tr> <td>
0 </td> <td> -2 </td> <td> 0 </td> <td> 3, 5, 7, 9, 11, 13, 15, 19, 21, 27, 33, 35, 39, 43, 45, 51, 57, 63, 65, 67, 73, 77, 81, 85, 91, 93, 99, 105, 109, 111, 117, 119, 129, 133, 135, 151, 153, 171, 185, 189, 195, 201, 217, 219, 221, 231, 241, 247, 255, 259, 273, 279, 285, 301, 315, 327, 331, 333, 337, 341, 351, 357, 365, 381, 387, 399, 441, 453, 455, 481, 485, 511, 513, 545, 555, 585, 595, 603, 627, 651, 657, 663, 665, 673, 679, 683, 693, 703, 723, 741, 763, 765, 771, 777, 819, 855, 873, 889, 903, 921, 945, 949, 981, 993, 999 </td> </tr> <tr> <td>
0 </td> <td> -1 </td> <td> 2 </td> <td> 3, 17, 19, 23, 31, 57, 61, 93, 171, 183, 229, 589, 981 </td> </tr> <tr> <td>
0 </td> <td> 1 </td> <td> 2 </td> <td> 3, 9, 17, 19, 23, 47, 57, 61, 69, 93, 171, 183, 229, 981 </td> </tr> <tr> <td>
0 </td> <td> 2 </td> <td> 0 </td> <td> 3, 5, 7, 9, 13, 15, 19, 21, 27, 31, 35, 39, 45, 49, 51, 57, 63, 65, 73, 77, 85, 89, 91, 93, 99, 105, 109, 111, 117, 119, 127, 133, 135, 151, 153, 161, 171, 185, 189, 195, 217, 219, 221, 231, 241, 247, 255, 259, 273, 279, 285, 301, 315, 327, 331, 333, 337, 341, 351, 357, 365, 381, 387, 399, 441, 453, 455, 481, 485, 511, 513, 545, 553, 555, 585, 595, 623, 631, 651, 657, 663, 665, 673, 679, 693, 703, 721, 723, 741, 763, 765, 771, 777, 819, 855, 873, 889, 903, 945, 949, 981, 993, 999 </td> </tr> <tr> <td>
1 </td> <td> -1 </td> <td> 2 </td> <td> 5, 7, 9, 11, 15, 37, 43, 45, 67, 79, 111, 135, 185, 203, 301, 333, 555, 999 </td> </tr> <tr> <td>
1 </td> <td> 0 </td> <td> 1 </td> <td> 47 </td> </tr> <tr> <td>
1 </td> <td> 1 </td> <td> 2 </td> <td> 3, 9 </td> </tr> <tr> <td>
1 </td> <td> 3 </td> <td> 2 </td> <td> 5, 15, 59 </td> </tr> <tr> <td>
2 </td> <td> 2 </td> <td> 0 </td> <td> 5, 7, 9, 13, 15, 21, 35, 37, 39, 45, 51, 61, 63, 65, 85, 91, 105, 109, 111, 117, 119, 133, 135, 153, 171, 185, 189, 195, 205, 219, 221, 241, 247, 255, 259, 273, 285, 305, 315, 325, 327, 333, 351, 357, 365, 377, 399, 455, 481, 485, 511, 513, 533, 545, 555, 565, 585, 595, 657, 663, 665, 673, 679, 703, 723, 741, 763, 765, 771, 777, 793, 819, 855, 873, 945, 949, 981, 999 </td> </tr> <tr> <td>
2 </td> <td> 3 </td> <td> 2 </td> <td> 7, 47 </td> </tr> <tr> <td>
3 </td> <td> 5 </td> <td> 2 </td> <td> 3, 19, 31, 57, 61, 93, 171, 183, 589, 981 </td> </tr>
</tbody>
</table>
<br />
<br />
<hr />
<br />
<br />
<table align="center" border="2" cellpadding="4" cellspacing="1" width="70%">
<thead>
<tr>
<th colspan="4">n < 500 where 3 is a common index divisors with dim A = 2</th>
</tr>
</thead>
<tbody>
<tr> <td> a<sub>3</sub> </td> <td> a<sub>2</sub> </td> <td> p-rank </td> <td> non-monogenic n </td> </tr>
<tr> <td>-4 </td> <td> 8 </td> <td> 2 </td> <td> 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 73, 82, 88, 136, 140, 146, 164, 170, 194, 238, 272, 280, 328, 340, 365, 388, 451, 476, 485 </td> </tr> <tr> <td>
-3 </td> <td> 5 </td> <td> 2 </td> <td> 2, 4, 29, 488 </td> </tr> <tr> <td>
-3 </td> <td> 7 </td> <td> 2 </td> <td> 2, 4, 10, 19, 20, 40, 44, 80 </td> </tr> <tr> <td>
-2 </td> <td> 1 </td> <td> 2 </td> <td> 2, 4, 13, 19, 20, 38, 40, 76, 86, 136, 140, 170, 194, 238, 272, 280, 340, 388, 476, 485 </td> </tr> <tr> <td>
-2 </td> <td> 2 </td> <td> 2 </td> <td> 2, 4, 8, 10, 14, 28, 29, 58, 82, 164, 205, 410 </td> </tr> <tr> <td>
-2 </td> <td> 4 </td> <td> 2 </td> <td> 2, 4, 8, 23 </td> </tr> <tr> <td>
-2 </td> <td> 5 </td> <td> 2 </td> <td> 2, 4, 23 </td> </tr> <tr> <td>
-1 </td> <td> -2 </td> <td> 2 </td> <td> 2, 4, 5, 8, 10, 13, 16, 20, 31, 37, 40, 62, 74, 80, 124, 140, 148, 160, 185, 224, 280, 296, 370 </td> </tr> <tr> <td>
-1 </td> <td> -1 </td> <td> 2 </td> <td> 2, 4, 23 </td> </tr> <tr> <td>
-1 </td> <td> 1 </td> <td> 2 </td> <td> 2, 4, 5, 80, 82, 100, 164, 200, 205, 328, 400, 410 </td> </tr> <tr> <td>
-1 </td> <td> 2 </td> <td> 2 </td> <td> 2, 4, 8, 16 </td> </tr> <tr> <td>
-1 </td> <td> 3 </td> <td> 1 </td> <td> 2, 4, 5, 17 </td> </tr> <tr> <td>
-1 </td> <td> 5 </td> <td> 2 </td> <td> 2, 4, 29, 31, 62, 124 </td> </tr> <tr> <td>
0 </td> <td> -5 </td> <td> 2 </td> <td> 2, 4, 5, 8, 10, 16, 20, 25, 37, 40, 74, 80, 115, 140, 148, 160, 185, 224, 265, 280, 296, 335, 370 </td> </tr> <tr> <td>
0 </td> <td> -4 </td> <td> 2 </td> <td> 2, 4, 7, 8, 14, 16, 28, 32, 56, 82, 164, 205, 328, 410 </td> </tr> <tr> <td>
0 </td> <td> -2 </td> <td> 2 </td> <td> 2, 4, 8, 11, 17, 20, 22, 34, 68, 82, 136, 140, 164, 170, 194, 238, 272, 280, 340, 388, 433, 451, 476, 485 </td> </tr> <tr> <td>
0 </td> <td> -1 </td> <td> 2 </td> <td> 2, 4, 8, 11, 13, 16, 26, 29, 32, 52, 103, 104, 208, 416 </td> </tr> <tr> <td>
0 </td> <td> 0 </td> <td> 0 </td> <td> 2, 4, 5, 8, 10, 13, 14, 16, 20, 25, 26, 28, 29, 32, 34, 35, 40, 41, 50, 52, 56, 58, 61, 64, 65, 68, 70, 73, 80, 82, 85, 88, 91, 100, 104, 110, 112, 121, 122, 130, 136, 140, 145, 146, 160, 164, 170, 176, 182, 193, 200, 205, 208, 220, 224, 242, 244, 260, 265, 272, 275, 280, 287, 290, 292, 305, 320, 328, 340, 364, 365, 386, 400, 410, 416, 440, 455, 464, 484, 488 </td> </tr> <tr> <td>
0 </td> <td> 1 </td> <td> 2 </td> <td> 2, 4, 8, 11, 13, 16, 26, 29, 32, 44, 52, 88, 104, 208, 416 </td> </tr> <tr> <td>
0 </td> <td> 3 </td> <td> 0 </td> <td> 2, 4, 7, 8, 13, 14, 16, 20, 26, 28, 35, 37, 40, 52, 56, 65, 70, 73, 74, 76, 80, 91, 104, 112, 121, 130, 133, 140, 143, 146, 148, 152, 160, 164, 182, 205, 208, 224, 242, 247, 259, 260, 266, 280, 286, 287, 292, 296, 328, 364, 365, 410, 416, 427, 433, 455, 481, 484, 488, 494 </td> </tr> <tr> <td>
0 </td> <td> 4 </td> <td> 2 </td> <td> 2, 4, 7, 8, 14, 16, 23, 28, 32, 56, 82, 164, 205, 328, 410 </td> </tr> <tr> <td>
1 </td> <td> -2 </td> <td> 2 </td> <td> 2, 4, 5, 8, 10, 16, 20, 31, 37, 40, 62, 74, 80, 124, 140, 148, 160, 181, 185, 224, 280, 296, 370 </td> </tr> <tr> <td>
1 </td> <td> -1 </td> <td> 2 </td> <td> 2, 4, 23 </td> </tr> <tr> <td>
1 </td> <td> 1 </td> <td> 2 </td> <td> 2, 4, 5, 80, 82, 100, 164, 200, 205, 328, 400, 410 </td> </tr> <tr> <td>
1 </td> <td> 2 </td> <td> 2 </td> <td> 2, 4, 8, 16 </td> </tr> <tr> <td>
1 </td> <td> 3 </td> <td> 1 </td> <td> 2, 4, 5, 17 </td> </tr> <tr> <td>
1 </td> <td> 5 </td> <td> 2 </td> <td> 2, 4, 29, 31, 62, 124 </td> </tr> <tr> <td>
2 </td> <td> 1 </td> <td> 2 </td> <td> 2, 4, 11, 19, 20, 38, 40, 76, 86, 136, 140, 170, 194, 238, 272, 280, 340, 388, 476, 485 </td> </tr> <tr> <td>
2 </td> <td> 2 </td> <td> 2 </td> <td> 2, 4, 8, 10, 14, 28, 29, 58, 82, 164, 205, 410 </td> </tr> <tr> <td>
2 </td> <td> 4 </td> <td> 2 </td> <td> 2, 4, 8, 23 </td> </tr> <tr> <td>
2 </td> <td> 5 </td> <td> 2 </td> <td> 2, 4, 23 </td> </tr> <tr> <td>
3 </td> <td> 5 </td> <td> 2 </td> <td> 2, 4, 29, 488 </td> </tr> <tr> <td>
3 </td> <td> 7 </td> <td> 2 </td> <td> 2, 4, 10, 11, 19, 20, 22, 40, 44, 80 </td> </tr> <tr> <td>
4 </td> <td> 8 </td> <td> 2 </td> <td> 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 73, 82, 88, 136, 140, 146, 164, 170, 194, 238, 272, 280, 328, 340, 365, 388, 451, 476, 485 </td> </tr>
</tbody>
</table>
<br />
<br />
<hr />
<br />
<br />
<table align="center" border="2" cellpadding="4" cellspacing="1" width="70%">
<thead>
<tr>
<th colspan="4">n < 500 where 5 is a common index divisors with dim A = 2</th>
</tr>
</thead>
<tbody>
<tr> <td> a<sub>3</sub> </td> <td> a<sub>2</sub> </td> <td> p-rank </td> <td> non-monogenic n </td> </tr>
<tr> <td> -6 </td> <td> 17 </td> <td> 2 </td> <td> 7, 12, 14, 21, 28, 42, 56, 84, 168, 217, 252, 434 </td> </tr> <tr> <td>
-5 </td> <td> 13 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
-5 </td> <td> 15 </td> <td> 0 </td> <td> 11, 22, 24, 33, 44, 66, 71, 88, 124, 132, 142, 181, 213, 264, 284, 341, 362, 426, 429, 451, 492 </td> </tr> <tr> <td>
-4 </td> <td> 8 </td> <td> 2 </td> <td> 2, 4, 8, 16, 42, 56, 84, 168, 377 </td> </tr> <tr> <td>
-4 </td> <td> 9 </td> <td> 2 </td> <td> 4, 8 </td> </tr> <tr> <td>
-4 </td> <td> 11 </td> <td> 2 </td> <td> 8, 13, 26, 39, 48, 52, 72, 78, 104, 117, 122, 144, 156, 208, 234, 296, 312, 468, 481 </td> </tr> <tr> <td>
-4 </td> <td> 12 </td> <td> 2 </td> <td> 2, 4, 8, 16 </td> </tr> <tr> <td>
-3 </td> <td> 4 </td> <td> 2 </td> <td> 3, 6, 9, 12, 18, 27, 31, 36, 54, 72, 93, 186, 279, 333, 444 </td> </tr> <tr> <td>
-3 </td> <td> 5 </td> <td> 1 </td> <td> 4, 8 </td> </tr> <tr> <td>
-3 </td> <td> 7 </td> <td> 2 </td> <td> 3 </td> </tr> <tr> <td>
-3 </td> <td> 8 </td> <td> 2 </td> <td> 12, 13, 19, 26, 38, 39, 42, 52, 56, 78, 84, 91, 104, 156, 168, 182, 228, 234, 247, 273, 312, 342, 364, 468, 494 </td> </tr> <tr> <td>
-3 </td> <td> 9 </td> <td> 2 </td> <td> 4, 8 </td> </tr> <tr> <td>
-3 </td> <td> 11 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> -1 </td> <td> 2 </td> <td> 13, 26, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 481 </td> </tr> <tr> <td>
-2 </td> <td> 0 </td> <td> 1 </td> <td> 2, 4, 19 </td> </tr> <tr> <td>
-2 </td> <td> 1 </td> <td> 2 </td> <td> 72 </td> </tr> <tr> <td>
-2 </td> <td> 3 </td> <td> 2 </td> <td> 17 </td> </tr> <tr> <td>
-2 </td> <td> 4 </td> <td> 2 </td> <td> 2, 4, 6, 12, 24 </td> </tr> <tr> <td>
-2 </td> <td> 5 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 6 </td> <td> 2 </td> <td> 2, 4, 19 </td> </tr> <tr> <td>
-2 </td> <td> 8 </td> <td> 2 </td> <td> 2, 4, 11 </td> </tr> <tr> <td>
-2 </td> <td> 9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -5 </td> <td> 1 </td> <td> 19 </td> </tr> <tr> <td>
-1 </td> <td> -4 </td> <td> 2 </td> <td> 7, 14, 28, 42, 56, 63, 72, 84, 126, 154, 168, 252 </td> </tr> <tr> <td>
-1 </td> <td> -3 </td> <td> 2 </td> <td> 8, 24, 48 </td> </tr> <tr> <td>
-1 </td> <td> -1 </td> <td> 2 </td> <td> 19, 22, 44, 88 </td> </tr> <tr> <td>
-1 </td> <td> 0 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 1 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
-1 </td> <td> 2 </td> <td> 2 </td> <td> 8, 48 </td> </tr> <tr> <td>
-1 </td> <td> 3 </td> <td> 2 </td> <td> 7, 24 </td> </tr> <tr> <td>
-1 </td> <td> 5 </td> <td> 1 </td> <td> 8 </td> </tr> <tr> <td>
-1 </td> <td> 6 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
-1 </td> <td> 7 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 9 </td> <td> 2 </td> <td> 8, 24, 48 </td> </tr> <tr> <td>
0 </td> <td> -9 </td> <td> 2 </td> <td> 7, 8, 14, 16, 17, 28, 42, 48, 51, 56, 63, 72, 84, 96, 112, 122, 126, 144, 168, 224, 252, 288, 336 </td> </tr> <tr> <td>
0 </td> <td> -8 </td> <td> 2 </td> <td> 2, 3, 4, 8, 16, 17, 32, 34, 39, 41, 48, 52, 68, 78, 82, 104, 136, 156, 208, 272, 312 </td> </tr> <tr> <td>
0 </td> <td> -7 </td> <td> 2 </td> <td> 4, 8, 12, 13, 16, 19, 24, 26, 38, 39, 42, 48, 52, 56, 76, 78, 84, 91, 96, 104, 112, 152, 156, 168, 182, 208, 224, 228, 234, 247, 273, 304, 312, 336, 342, 364, 416, 456, 468, 494 </td> </tr> <tr> <td>
0 </td> <td> -5 </td> <td> 0 </td> <td> 3, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 31, 36, 39, 42, 48, 52, 54, 56, 62, 63, 72, 78, 84, 91, 93, 104, 112, 117, 122, 124, 126, 144, 156, 168, 182, 183, 186, 189, 208, 217, 228, 234, 248, 252, 266, 273, 279, 312, 336, 342, 364, 366, 372, 378, 399, 403, 427, 434, 456, 468, 496 </td> </tr> <tr> <td>
0 </td> <td> -4 </td> <td> 2 </td> <td> 2, 4, 8, 9, 11, 16, 18, 22, 72, 136, 272, 341, 342 </td> </tr> <tr> <td>
0 </td> <td> -3 </td> <td> 2 </td> <td> 4, 8, 48, 72, 144 </td> </tr> <tr> <td>
0 </td> <td> -2 </td> <td> 2 </td> <td> 2, 3, 4, 7, 11, 14, 21, 22, 42, 84 </td> </tr> <tr> <td>
0 </td> <td> -1 </td> <td> 2 </td> <td> 8, 12, 16, 24, 48, 96, 296, 333, 444 </td> </tr> <tr> <td>
0 </td> <td> 0 </td> <td> 0 </td> <td> 2, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 41, 42, 48, 52, 56, 62, 63, 72, 78, 82, 84, 91, 93, 96, 104, 112, 117, 124, 126, 136, 144, 156, 168, 182, 186, 192, 204, 208, 217, 221, 234, 248, 252, 272, 273, 279, 312, 313, 336, 364, 372, 403, 408, 416, 426, 429, 434, 442, 451, 468, 481, 492, 496 </td> </tr> <tr> <td>
0 </td> <td> 2 </td> <td> 2 </td> <td> 2, 4, 7, 14, 21, 22, 42, 84, 217 </td> </tr> <tr> <td>
0 </td> <td> 3 </td> <td> 2 </td> <td> 8, 19, 29, 38, 48, 72, 144 </td> </tr> <tr> <td>
0 </td> <td> 4 </td> <td> 2 </td> <td> 2, 3, 4, 8, 9, 16, 18, 19, 22, 27, 57, 72, 136, 171, 272, 342 </td> </tr> <tr> <td>
0 </td> <td> 5 </td> <td> 0 </td> <td> 4, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 31, 36, 38, 39, 42, 48, 52, 56, 62, 63, 72, 76, 78, 84, 91, 93, 104, 112, 117, 124, 126, 142, 144, 156, 168, 181, 182, 186, 208, 217, 228, 234, 248, 252, 266, 273, 279, 284, 312, 336, 341, 342, 362, 364, 372, 378, 399, 403, 434, 456, 468, 496 </td> </tr> <tr> <td>
0 </td> <td> 7 </td> <td> 2 </td> <td> 3, 6, 8, 11, 12, 13, 16, 18, 24, 26, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 228, 234, 247, 273, 304, 312, 336, 342, 364, 416, 456, 468, 494 </td> </tr> <tr> <td>
0 </td> <td> 8 </td> <td> 2 </td> <td> 2, 4, 8, 16, 17, 32, 34, 39, 41, 48, 52, 68, 78, 82, 104, 136, 156, 208, 272, 312 </td> </tr> <tr> <td>
1 </td> <td> -5 </td> <td> 1 </td> <td> 19 </td> </tr> <tr> <td>
1 </td> <td> -4 </td> <td> 2 </td> <td> 7, 11, 14, 28, 42, 56, 63, 72, 84, 126, 154, 168, 252 </td> </tr> <tr> <td>
1 </td> <td> -3 </td> <td> 2 </td> <td> 4, 8, 24, 48 </td> </tr> <tr> <td>
1 </td> <td> -1 </td> <td> 2 </td> <td> 19, 22, 44, 88 </td> </tr> <tr> <td>
1 </td> <td> 0 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> 1 </td> <td> 2 </td> <td> 4, 8 </td> </tr> <tr> <td>
1 </td> <td> 2 </td> <td> 2 </td> <td> 8, 48 </td> </tr> <tr> <td>
1 </td> <td> 3 </td> <td> 2 </td> <td> 7, 24 </td> </tr> <tr> <td>
1 </td> <td> 5 </td> <td> 1 </td> <td> 4, 8 </td> </tr> <tr> <td>
1 </td> <td> 6 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
1 </td> <td> 7 </td> <td> 2 </td> <td> 11, 22 </td> </tr> <tr> <td>
1 </td> <td> 9 </td> <td> 2 </td> <td> 4, 8, 24, 48 </td> </tr> <tr> <td>
2 </td> <td> -1 </td> <td> 2 </td> <td> 13, 26, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 481 </td> </tr> <tr> <td>
2 </td> <td> 0 </td> <td> 1 </td> <td> 2, 4, 19 </td> </tr> <tr> <td>
2 </td> <td> 1 </td> <td> 2 </td> <td> 31, 72 </td> </tr> <tr> <td>
2 </td> <td> 3 </td> <td> 2 </td> <td> 17 </td> </tr> <tr> <td>
2 </td> <td> 4 </td> <td> 2 </td> <td> 2, 4, 6, 12, 24 </td> </tr> <tr> <td>
2 </td> <td> 5 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> 6 </td> <td> 2 </td> <td> 2, 4, 19 </td> </tr> <tr> <td>
2 </td> <td> 8 </td> <td> 2 </td> <td> 2, 4 </td> </tr> <tr> <td>
2 </td> <td> 9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
3 </td> <td> 4 </td> <td> 2 </td> <td> 3, 6, 9, 12, 18, 27, 36, 54, 72, 93, 186, 279, 333, 444 </td> </tr> <tr> <td>
3 </td> <td> 5 </td> <td> 1 </td> <td> 8 </td> </tr> <tr> <td>
3 </td> <td> 7 </td> <td> 2 </td> <td> 3 </td> </tr> <tr> <td>
3 </td> <td> 8 </td> <td> 2 </td> <td> 12, 13, 19, 26, 38, 39, 42, 52, 56, 78, 84, 91, 104, 156, 168, 182, 228, 234, 247, 273, 312, 342, 364, 468, 494 </td> </tr> <tr> <td>
3 </td> <td> 9 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
3 </td> <td> 11 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
4 </td> <td> 8 </td> <td> 2 </td> <td> 2, 4, 8, 16, 42, 56, 84, 168, 377 </td> </tr> <tr> <td>
4 </td> <td> 9 </td> <td> 2 </td> <td> 4, 8 </td> </tr> <tr> <td>
4 </td> <td> 11 </td> <td> 2 </td> <td> 8, 13, 26, 39, 48, 52, 72, 78, 104, 109, 117, 122, 144, 156, 208, 234, 296, 312, 468, 481 </td> </tr> <tr> <td>
4 </td> <td> 12 </td> <td> 2 </td> <td> 2, 4, 8, 16, 31 </td> </tr> <tr> <td>
5 </td> <td> 13 </td> <td> 2 </td> <td> 4, 8 </td> </tr> <tr> <td>
5 </td> <td> 15 </td> <td> 0 </td> <td> 11, 22, 24, 33, 44, 66, 71, 88, 124, 132, 142, 181, 213, 264, 284, 341, 362, 426, 429, 451, 492 </td> </tr> <tr> <td>
6 </td> <td> 17 </td> <td> 2 </td> <td> 7, 12, 14, 21, 28, 42, 56, 84, 168, 217, 252, 434 </td> </tr>
</tbody>
</table>
<br />
<br />
<hr />
<br />
<br />
<table align="center" border="2" cellpadding="4" cellspacing="1" width="70%">
<thead>
<tr>
<th colspan="4"> n < 500 where 7 is a common index divisors with dim A = 2</th>
</tr>
</thead>
<tbody>
<tr> <td> a<sub>3</sub> </td> <td> a<sub>2</sub> </td> <td> p-rank </td> <td> non-monogenic n </td> </tr>
<tr> <td>-7 </td> <td> 25 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
-6 </td> <td> 18 </td> <td> 2 </td> <td> 6, 12, 24 </td> </tr> <tr> <td>
-6 </td> <td> 20 </td> <td> 2 </td> <td> 9, 11, 18 </td> </tr> <tr> <td>
-6 </td> <td> 21 </td> <td> 1 </td> <td> 51 </td> </tr> <tr> <td>
-5 </td> <td> 13 </td> <td> 2 </td> <td> 3, 6, 12, 18 </td> </tr> <tr> <td>
-5 </td> <td> 15 </td> <td> 2 </td> <td> 5, 40, 50, 100, 200 </td> </tr> <tr> <td>
-5 </td> <td> 16 </td> <td> 2 </td> <td> 3 </td> </tr> <tr> <td>
-5 </td> <td> 17 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-5 </td> <td> 19 </td> <td> 2 </td> <td> 3, 6, 12, 18 </td> </tr> <tr> <td>
-4 </td> <td> 8 </td> <td> 2 </td> <td> 8, 13, 26, 39, 78, 104, 156, 312 </td> </tr> <tr> <td>
-4 </td> <td> 10 </td> <td> 2 </td> <td> 34, 68, 136 </td> </tr> <tr> <td>
-4 </td> <td> 11 </td> <td> 2 </td> <td> 12, 24 </td> </tr> <tr> <td>
-4 </td> <td> 12 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
-4 </td> <td> 13 </td> <td> 2 </td> <td> 4, 31, 279, 372 </td> </tr> <tr> <td>
-4 </td> <td> 15 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-4 </td> <td> 16 </td> <td> 2 </td> <td> 8, 279 </td> </tr> <tr> <td>
-3 </td> <td> 2 </td> <td> 2 </td> <td> 4, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 73, 80, 90, 120, 144, 146, 180, 219, 240, 292, 360, 365, 438 </td> </tr> <tr> <td>
-3 </td> <td> 3 </td> <td> 2 </td> <td> 11, 22, 44, 88 </td> </tr> <tr> <td>
-3 </td> <td> 5 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 6 </td> <td> 2 </td> <td> 4, 80, 90, 120, 144, 180, 240, 360 </td> </tr> <tr> <td>
-3 </td> <td> 7 </td> <td> 1 </td> <td> 15 </td> </tr> <tr> <td>
-3 </td> <td> 8 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
-3 </td> <td> 9 </td> <td> 2 </td> <td> 5, 15 </td> </tr> <tr> <td>
-3 </td> <td> 11 </td> <td> 2 </td> <td> 9 </td> </tr> <tr> <td>
-3 </td> <td> 12 </td> <td> 2 </td> <td> 10, 19, 20, 38, 90, 120, 180, 360 </td> </tr> <tr> <td>
-3 </td> <td> 13 </td> <td> 2 </td> <td> 29 </td> </tr> <tr> <td>
-3 </td> <td> 15 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> -3 </td> <td> 2 </td> <td> 10, 20, 31, 209, 341, 418 </td> </tr> <tr> <td>
-2 </td> <td> -2 </td> <td> 2 </td> <td> 3 </td> </tr> <tr> <td>
-2 </td> <td> 0 </td> <td> 1 </td> <td> 34, 68, 136 </td> </tr> <tr> <td>
-2 </td> <td> 1 </td> <td> 2 </td> <td> 3 </td> </tr> <tr> <td>
-2 </td> <td> 2 </td> <td> 2 </td> <td> 10, 15, 30, 34, 68, 95, 114, 136, 190, 228, 285, 380 </td> </tr> <tr> <td>
-2 </td> <td> 3 </td> <td> 2 </td> <td> 11 </td> </tr> <tr> <td>
-2 </td> <td> 4 </td> <td> 2 </td> <td> 3, 5, 10, 20, 40 </td> </tr> <tr> <td>
-2 </td> <td> 5 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
-2 </td> <td> 7 </td> <td> 1 </td> <td> 3, 10, 20 </td> </tr> <tr> <td>
-2 </td> <td> 8 </td> <td> 2 </td> <td> 9, 18 </td> </tr> <tr> <td>
-2 </td> <td> 9 </td> <td> 2 </td> <td> 5 </td> </tr> <tr> <td>
-2 </td> <td> 10 </td> <td> 2 </td> <td> 3 </td> </tr> <tr> <td>
-2 </td> <td> 12 </td> <td> 2 </td> <td> 10 </td> </tr> <tr> <td>
-2 </td> <td> 13 </td> <td> 2 </td> <td> 3 </td> </tr> <tr> <td>
-1 </td> <td> -8 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -7 </td> <td> 1 </td> <td> 9, 40 </td> </tr> <tr> <td>
-1 </td> <td> -5 </td> <td> 2 </td> <td> 12, 37 </td> </tr> <tr> <td>
-1 </td> <td> -4 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
-1 </td> <td> -3 </td> <td> 2 </td> <td> 11, 22, 44, 88 </td> </tr> <tr> <td>
-1 </td> <td> -2 </td> <td> 2 </td> <td> 4 </td> </tr> <tr> <td>
-1 </td> <td> -1 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 0 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 1 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
-1 </td> <td> 3 </td> <td> 2 </td> <td> 40 </td> </tr> <tr> <td>
-1 </td> <td> 4 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 5 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 6 </td> <td> 2 </td> <td> 4 </td> </tr> <tr> <td>
-1 </td> <td> 7 </td> <td> 1 </td> <td> 12, 13 </td> </tr> <tr> <td>
-1 </td> <td> 9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 10 </td> <td> 2 </td> <td> 4 </td> </tr> <tr> <td>
-1 </td> <td> 11 </td> <td> 2 </td> <td> 9 </td> </tr> <tr> <td>
-1 </td> <td> 13 </td> <td> 2 </td> <td> 12, 40, 60, 120 </td> </tr> <tr> <td>
0 </td> <td> -13 </td> <td> 2 </td> <td> 12, 13, 24, 26, 37, 39, 52, 74, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390 </td> </tr> <tr> <td>
0 </td> <td> -12 </td> <td> 2 </td> <td> 6, 8, 11, 12, 19, 24, 34, 38, 48, 51, 68, 90, 95, 102, 113, 114, 120, 136, 152, 171, 180, 190, 204, 209, 226, 228, 272, 285, 342, 360, 380, 408, 456 </td> </tr> <tr> <td>
0 </td> <td> -10 </td> <td> 2 </td> <td> 5, 10, 15, 20, 29, 30, 40, 50, 55, 110, 275, 290 </td> </tr> <tr> <td>
0 </td> <td> -9 </td> <td> 2 </td> <td> 16, 96, 144, 288 </td> </tr> <tr> <td>
0 </td> <td> -8 </td> <td> 2 </td> <td> 8, 16, 32, 80, 120, 240 </td> </tr> <tr> <td>
0 </td> <td> -7 </td> <td> 0 </td> <td> 4, 8, 9, 12, 16, 18, 19, 24, 36, 38, 43, 48, 57, 72, 76, 80, 86, 90, 95, 96, 100, 104, 114, 117, 120, 129, 130, 144, 150, 152, 156, 160, 171, 172, 180, 181, 190, 195, 200, 208, 215, 225, 228, 234, 240, 247, 258, 260, 285, 288, 300, 304, 312, 325, 342, 344, 360, 362, 380, 382, 387, 390, 400, 416, 430, 450, 456, 468, 473, 475, 480, 494 </td> </tr> <tr> <td>
0 </td> <td> -6 </td> <td> 2 </td> <td> 6, 11, 12, 24, 117, 156, 234, 468 </td> </tr> <tr> <td>
0 </td> <td> -5 </td> <td> 2 </td> <td> 5, 6, 10, 12, 15, 20, 24, 30, 40, 55, 60, 73, 80, 85, 120, 146, 219, 240, 275, 292, 365, 438 </td> </tr> <tr> <td>
0 </td> <td> -4 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
0 </td> <td> -3 </td> <td> 2 </td> <td> 4, 80, 90, 120, 144, 180, 240, 360 </td> </tr> <tr> <td>
0 </td> <td> -1 </td> <td> 2 </td> <td> 11, 12, 16, 24, 32, 48, 96, 192 </td> </tr> <tr> <td>
0 </td> <td> 0 </td> <td> 0 </td> <td> 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 25, 26, 30, 32, 40, 48, 50, 60, 64, 65, 75, 80, 86, 90, 95, 96, 100, 104, 114, 117, 120, 125, 129, 130, 144, 150, 152, 156, 160, 171, 172, 180, 181, 190, 192, 195, 200, 208, 215, 225, 228, 234, 240, 247, 250, 258, 260, 281, 285, 288, 300, 304, 312, 320, 325, 340, 342, 344, 360, 362, 380, 384, 387, 390, 400, 408, 416, 425, 430, 450, 456, 468, 475, 480, 494 </td> </tr> <tr> <td>
0 </td> <td> 1 </td> <td> 2 </td> <td> 4, 6, 8, 12, 16, 24, 32, 36, 48, 72, 96, 144, 192 </td> </tr> <tr> <td>
0 </td> <td> 2 </td> <td> 2 </td> <td> 9, 13, 18, 26, 37, 39, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468 </td> </tr> <tr> <td>
0 </td> <td> 3 </td> <td> 2 </td> <td> 80, 90, 120, 144, 180, 240, 360 </td> </tr> <tr> <td>
0 </td> <td> 4 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
0 </td> <td> 6 </td> <td> 2 </td> <td> 6, 12, 24, 117, 156, 234, 468 </td> </tr> <tr> <td>
0 </td> <td> 7 </td> <td> 0 </td> <td> 6, 9, 12, 16, 18, 19, 24, 27, 36, 37, 38, 43, 48, 54, 57, 72, 74, 76, 80, 86, 90, 95, 96, 100, 104, 111, 114, 117, 120, 129, 130, 144, 150, 152, 156, 160, 171, 172, 180, 181, 190, 195, 200, 208, 215, 222, 225, 228, 234, 240, 247, 258, 260, 279, 285, 288, 300, 304, 312, 325, 333, 342, 344, 360, 362, 380, 387, 390, 400, 416, 430, 450, 456, 468, 475, 480, 494 </td> </tr> <tr> <td>
0 </td> <td> 8 </td> <td> 2 </td> <td> 8, 16, 29, 32, 80, 120, 240 </td> </tr> <tr> <td>
0 </td> <td> 9 </td> <td> 2 </td> <td> 4, 8, 16, 29, 96, 144, 248, 288 </td> </tr> <tr> <td>
0 </td> <td> 11 </td> <td> 2 </td> <td> 9, 12, 13, 18, 24, 26, 36, 37, 39, 52, 72, 74, 78, 104, 117, 144, 156, 208, 234, 312, 468 </td> </tr> <tr> <td>
0 </td> <td> 12 </td> <td> 2 </td> <td> 6, 8, 12, 19, 24, 34, 38, 48, 51, 68, 90, 95, 102, 114, 120, 136, 152, 171, 180, 190, 204, 226, 228, 272, 285, 342, 360, 380, 408, 456 </td> </tr> <tr> <td>
1 </td> <td> -8 </td> <td> 2 </td> <td> 3 </td> </tr> <tr> <td>
1 </td> <td> -7 </td> <td> 1 </td> <td> 9, 40 </td> </tr> <tr> <td>
1 </td> <td> -5 </td> <td> 2 </td> <td> 3, 6, 12, 18, 37 </td> </tr> <tr> <td>
1 </td> <td> -4 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
1 </td> <td> -3 </td> <td> 2 </td> <td> 11, 22, 44, 88 </td> </tr> <tr> <td>
1 </td> <td> -2 </td> <td> 2 </td> <td> 3, 4 </td> </tr> <tr> <td>
1 </td> <td> -1 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> 0 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> 1 </td> <td> 2 </td> <td> 3, 6, 12, 18 </td> </tr> <tr> <td>
1 </td> <td> 3 </td> <td> 2 </td> <td> 40 </td> </tr> <tr> <td>
1 </td> <td> 4 </td> <td> 2 </td> <td> 3 </td> </tr> <tr> <td>
1 </td> <td> 5 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> 6 </td> <td> 2 </td> <td> 4 </td> </tr> <tr> <td>
1 </td> <td> 7 </td> <td> 1 </td> <td> 3, 6, 12, 13, 18 </td> </tr> <tr> <td>
1 </td> <td> 9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> 10 </td> <td> 2 </td> <td> 3, 4 </td> </tr> <tr> <td>
1 </td> <td> 11 </td> <td> 2 </td> <td> 9 </td> </tr> <tr> <td>
1 </td> <td> 13 </td> <td> 2 </td> <td> 3, 6, 12, 18, 19, 40, 60, 120 </td> </tr> <tr> <td>
2 </td> <td> -3 </td> <td> 2 </td> <td> 10, 19, 20, 209, 341, 418 </td> </tr> <tr> <td>
2 </td> <td> -2 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> 0 </td> <td> 1 </td> <td> 34, 68, 136 </td> </tr> <tr> <td>
2 </td> <td> 1 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> 2 </td> <td> 2 </td> <td> 10, 15, 30, 34, 68, 95, 114, 136, 190, 228, 285, 380 </td> </tr> <tr> <td>
2 </td> <td> 3 </td> <td> 2 </td> <td> 11 </td> </tr> <tr> <td>
2 </td> <td> 4 </td> <td> 2 </td> <td> 5, 10, 20, 40 </td> </tr> <tr> <td>
2 </td> <td> 5 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
2 </td> <td> 7 </td> <td> 1 </td> <td> 10, 20 </td> </tr> <tr> <td>
2 </td> <td> 8 </td> <td> 2 </td> <td> 9, 18 </td> </tr> <tr> <td>
2 </td> <td> 9 </td> <td> 2 </td> <td> 5 </td> </tr> <tr> <td>
2 </td> <td> 10 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> 12 </td> <td> 2 </td> <td> 10 </td> </tr> <tr> <td>
2 </td> <td> 13 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
3 </td> <td> 2 </td> <td> 2 </td> <td> 4, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 73, 80, 90, 120, 144, 146, 180, 219, 240, 292, 360, 365, 438 </td> </tr> <tr> <td>
3 </td> <td> 3 </td> <td> 2 </td> <td> 11, 22, 44, 88 </td> </tr> <tr> <td>
3 </td> <td> 5 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
3 </td> <td> 6 </td> <td> 2 </td> <td> 4, 80, 90, 120, 144, 180, 240, 360 </td> </tr> <tr> <td>
3 </td> <td> 7 </td> <td> 1 </td> <td> 15 </td> </tr> <tr> <td>
3 </td> <td> 8 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
3 </td> <td> 9 </td> <td> 2 </td> <td> 5, 15 </td> </tr> <tr> <td>
3 </td> <td> 11 </td> <td> 2 </td> <td> 9 </td> </tr> <tr> <td>
3 </td> <td> 12 </td> <td> 2 </td> <td> 10, 20, 38, 90, 120, 180, 360 </td> </tr> <tr> <td>
3 </td> <td> 13 </td> <td> 2 </td> <td> 29 </td> </tr> <tr> <td>
3 </td> <td> 15 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
4 </td> <td> 8 </td> <td> 2 </td> <td> 8, 13, 26, 39, 78, 104, 156, 312 </td> </tr> <tr> <td>
4 </td> <td> 10 </td> <td> 2 </td> <td> 3, 34, 68, 136 </td> </tr> <tr> <td>
4 </td> <td> 11 </td> <td> 2 </td> <td> 12, 24 </td> </tr> <tr> <td>
4 </td> <td> 12 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
4 </td> <td> 13 </td> <td> 2 </td> <td> 3, 4, 279, 372 </td> </tr> <tr> <td>
4 </td> <td> 15 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
4 </td> <td> 16 </td> <td> 2 </td> <td> 3, 8, 279 </td> </tr> <tr> <td>
5 </td> <td> 13 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
5 </td> <td> 15 </td> <td> 2 </td> <td> 5, 40, 50, 100, 200 </td> </tr> <tr> <td>
5 </td> <td> 16 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
5 </td> <td> 17 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
5 </td> <td> 19 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
6 </td> <td> 18 </td> <td> 2 </td> <td> 6, 12, 24 </td> </tr> <tr> <td>
6 </td> <td> 20 </td> <td> 2 </td> <td> 9, 11, 18 </td> </tr> <tr> <td>
6 </td> <td> 21 </td> <td> 1 </td> <td> 51 </td> </tr> <tr> <td>
7 </td> <td> 25 </td> <td> 2 </td> <td> 3, 6, 12, 18 </td> </tr>
</tbody>
</table>
<br />
<br />
<hr />
<br />
<br />
<table align="center" border="2" cellpadding="4" cellspacing="1" width="70%">
<thead>
<tr>
<th colspan="4">n < 200 where 11 is a common index divisors with dim A = 2</th>
</tr>
</thead>
<tbody>
<tr> <td> a<sub>3</sub> </td> <td> a<sub>2</sub> </td> <td> p-rank </td> <td> non-monogenic n </td> </tr>
<tr> <td> -11 </td> <td> 51 </td> <td> 2 </td> <td> 10, 20, 120 </td> </tr> <tr> <td>
-10 </td> <td> 44 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
-10 </td> <td> 45 </td> <td> 2 </td> <td> 85 </td> </tr> <tr> <td>
-9 </td> <td> 37 </td> <td> 2 </td> <td> 15 </td> </tr> <tr> <td>
-9 </td> <td> 38 </td> <td> 2 </td> <td> 18, 24, 26, 36, 39, 52, 72, 76, 78, 104, 117, 156 </td> </tr> <tr> <td>
-9 </td> <td> 39 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-9 </td> <td> 41 </td> <td> 2 </td> <td> 5, 10, 20 </td> </tr> <tr> <td>
-8 </td> <td> 31 </td> <td> 2 </td> <td> 16 </td> </tr> <tr> <td>
-8 </td> <td> 32 </td> <td> 2 </td> <td> 8, 16 </td> </tr> <tr> <td>
-8 </td> <td> 33 </td> <td> 1 </td> <td> 8, 16 </td> </tr> <tr> <td>
-8 </td> <td> 35 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-8 </td> <td> 36 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
-7 </td> <td> 24 </td> <td> 2 </td> <td> 28 </td> </tr> <tr> <td>
-7 </td> <td> 25 </td> <td> 2 </td> <td> 7 </td> </tr> <tr> <td>
-7 </td> <td> 26 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-7 </td> <td> 27 </td> <td> 2 </td> <td> 120 </td> </tr> <tr> <td>
-7 </td> <td> 29 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-7 </td> <td> 30 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-7 </td> <td> 31 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-7 </td> <td> 33 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
-6 </td> <td> 17 </td> <td> 2 </td> <td> 15, 20, 30, 60 </td> </tr> <tr> <td>
-6 </td> <td> 18 </td> <td> 2 </td> <td> 12, 51, 68, 102, 122, 136 </td> </tr> <tr> <td>
-6 </td> <td> 19 </td> <td> 2 </td> <td> 6 </td> </tr> <tr> <td>
-6 </td> <td> 20 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-6 </td> <td> 21 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-6 </td> <td> 23 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-6 </td> <td> 24 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
-6 </td> <td> 25 </td> <td> 2 </td> <td> 6, 9, 18, 36, 57, 114, 171 </td> </tr> <tr> <td>
-6 </td> <td> 26 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-6 </td> <td> 28 </td> <td> 2 </td> <td> 111 </td> </tr> <tr> <td>
-6 </td> <td> 29 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-5 </td> <td> 11 </td> <td> 1 </td> <td> 5 </td> </tr> <tr> <td>
-5 </td> <td> 12 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-5 </td> <td> 13 </td> <td> 2 </td> <td> 10, 20 </td> </tr> <tr> <td>
-5 </td> <td> 14 </td> <td> 2 </td> <td> 20, 40 </td> </tr> <tr> <td>
-5 </td> <td> 15 </td> <td> 2 </td> <td> 91 </td> </tr> <tr> <td>
-5 </td> <td> 17 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-5 </td> <td> 18 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-5 </td> <td> 19 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-5 </td> <td> 20 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-5 </td> <td> 21 </td> <td> 2 </td> <td> 5 </td> </tr> <tr> <td>
-5 </td> <td> 23 </td> <td> 2 </td> <td> 10, 20 </td> </tr> <tr> <td>
-5 </td> <td> 24 </td> <td> 2 </td> <td> 20 </td> </tr> <tr> <td>
-5 </td> <td> 25 </td> <td> 2 </td> <td> 15 </td> </tr> <tr> <td>
-5 </td> <td> 27 </td> <td> 2 </td> <td> 120 </td> </tr> <tr> <td>
-4 </td> <td> 4 </td> <td> 2 </td> <td> 8, 12, 24, 48 </td> </tr> <tr> <td>
-4 </td> <td> 5 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-4 </td> <td> 6 </td> <td> 2 </td> <td> 5 </td> </tr> <tr> <td>
-4 </td> <td> 7 </td> <td> 2 </td> <td> 20, 40 </td> </tr> <tr> <td>
-4 </td> <td> 8 </td> <td> 2 </td> <td> 8, 68, 136 </td> </tr> <tr> <td>
-4 </td> <td> 9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-4 </td> <td> 11 </td> <td> 1 </td> <td> 5 </td> </tr> <tr> <td>
-4 </td> <td> 12 </td> <td> 2 </td> <td> 8, 26, 65, 130 </td> </tr> <tr> <td>
-4 </td> <td> 13 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-4 </td> <td> 14 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-4 </td> <td> 15 </td> <td> 2 </td> <td> 74 </td> </tr> <tr> <td>
-4 </td> <td> 16 </td> <td> 2 </td> <td> 5, 8, 12, 24, 48 </td> </tr> <tr> <td>
-4 </td> <td> 18 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-4 </td> <td> 19 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-4 </td> <td> 20 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
-4 </td> <td> 21 </td> <td> 2 </td> <td> 5, 19, 76 </td> </tr> <tr> <td>
-4 </td> <td> 23 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-4 </td> <td> 24 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
-3 </td> <td> -3 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> -2 </td> <td> 2 </td> <td> 6, 9, 12, 18, 24, 26, 36, 39, 52, 72, 78, 104, 108, 117, 156 </td> </tr> <tr> <td>
-3 </td> <td> -1 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 0 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 1 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 2 </td> <td> 2 </td> <td> 24 </td> </tr> <tr> <td>
-3 </td> <td> 3 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 5 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 6 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 7 </td> <td> 2 </td> <td> 9 </td> </tr> <tr> <td>
-3 </td> <td> 8 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 10 </td> <td> 2 </td> <td> 6, 12, 24 </td> </tr> <tr> <td>
-3 </td> <td> 11 </td> <td> 1 </td> <td> 39 </td> </tr> <tr> <td>
-3 </td> <td> 13 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 14 </td> <td> 2 </td> <td> 24, 74, 148 </td> </tr> <tr> <td>
-3 </td> <td> 15 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 16 </td> <td> 2 </td> <td> 6, 9, 18, 36 </td> </tr> <tr> <td>
-3 </td> <td> 17 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 19 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 20 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 21 </td> <td> 2 </td> <td> 51 </td> </tr> <tr> <td>
-3 </td> <td> 23 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> -9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> -8 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
-2 </td> <td> -7 </td> <td> 2 </td> <td> 26, 52, 74 </td> </tr> <tr> <td>
-2 </td> <td> -6 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> -5 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> -4 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> -3 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> -1 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 0 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 1 </td> <td> 2 </td> <td> 28 </td> </tr> <tr> <td>
-2 </td> <td> 2 </td> <td> 2 </td> <td> 37, 68, 74, 136 </td> </tr> <tr> <td>
-2 </td> <td> 3 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 4 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
-2 </td> <td> 5 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 6 </td> <td> 2 </td> <td> 26 </td> </tr> <tr> <td>
-2 </td> <td> 8 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 10 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
-2 </td> <td> 11 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 12 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 13 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 15 </td> <td> 2 </td> <td> 28 </td> </tr> <tr> <td>
-2 </td> <td> 16 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
-2 </td> <td> 17 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 18 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 20 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 21 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -16 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -15 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -14 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -13 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -12 </td> <td> 2 </td> <td> 183 </td> </tr> <tr> <td>
-1 </td> <td> -11 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -10 </td> <td> 2 </td> <td> 26, 52, 104 </td> </tr> <tr> <td>
-1 </td> <td> -9 </td> <td> 2 </td> <td> 10, 20, 120 </td> </tr> <tr> <td>
-1 </td> <td> -7 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -6 </td> <td> 2 </td> <td> 26, 52, 104 </td> </tr> <tr> <td>
-1 </td> <td> -5 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -4 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -3 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -2 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -1 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 0 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 1 </td> <td> 2 </td> <td> 10, 20 </td> </tr> <tr> <td>
-1 </td> <td> 3 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 4 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 5 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 6 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 7 </td> <td> 2 </td> <td> 65 </td> </tr> <tr> <td>
-1 </td> <td> 8 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 11 </td> <td> 1 </td> <td> 10, 20 </td> </tr> <tr> <td>
-1 </td> <td> 12 </td> <td> 2 </td> <td> 20, 183 </td> </tr> <tr> <td>
-1 </td> <td> 13 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 14 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 15 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 17 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 18 </td> <td> 2 </td> <td> 76 </td> </tr> <tr> <td>
-1 </td> <td> 19 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 21 </td> <td> 2 </td> <td> 10, 20, 120 </td> </tr> <tr> <td>
0 </td> <td> -21 </td> <td> 2 </td> <td> 20, 26, 40, 51, 52, 65, 104, 130 </td> </tr> <tr> <td>
0 </td> <td> -20 </td> <td> 2 </td> <td> 8, 9, 10, 18, 20, 40, 57, 68, 80, 85, 136, 170, 171 </td> </tr> <tr> <td>
0 </td> <td> -19 </td> <td> 2 </td> <td> 5, 10, 15, 20, 24, 30, 40, 60, 74, 120, 148, 185 </td> </tr> <tr> <td>
0 </td> <td> -18 </td> <td> 2 </td> <td> 12, 26, 91, 182 </td> </tr> <tr> <td>
0 </td> <td> -17 </td> <td> 2 </td> <td> 6, 7, 14, 16, 21, 24, 28, 42, 48, 56, 63, 84, 112, 126, 168 </td> </tr> <tr> <td>
0 </td> <td> -16 </td> <td> 2 </td> <td> 8, 15, 16, 18, 30, 45, 90 </td> </tr> <tr> <td>
0 </td> <td> -15 </td> <td> 2 </td> <td> 8, 15, 16 </td> </tr> <tr> <td>
0 </td> <td> -13 </td> <td> 2 </td> <td> 24, 26, 39, 52, 78, 104, 156 </td> </tr> <tr> <td>
0 </td> <td> -12 </td> <td> 2 </td> <td> 8, 12, 24, 48 </td> </tr> <tr> <td>
0 </td> <td> -11 </td> <td> 0 </td> <td> 6, 9, 12, 15, 18, 19, 20, 21, 24, 28, 30, 35, 36, 37, 38, 40, 42, 45, 56, 57, 60, 63, 70, 72, 74, 76, 84, 90, 95, 105, 108, 111, 114, 120, 126, 133, 140, 148, 152, 168, 171, 180, 185, 190 </td> </tr> <tr> <td>
0 </td> <td> -10 </td> <td> 2 </td> <td> 7, 10, 20, 21, 40, 42 </td> </tr> <tr> <td>
0 </td> <td> -9 </td> <td> 2 </td> <td> 5, 10, 16, 20, 40, 80 </td> </tr> <tr> <td>
0 </td> <td> -8 </td> <td> 2 </td> <td> 8, 16, 19, 26, 38, 39, 57, 78, 114, 171 </td> </tr> <tr> <td>
0 </td> <td> -7 </td> <td> 2 </td> <td> 8, 16, 18, 24, 36, 48, 72, 144 </td> </tr> <tr> <td>
0 </td> <td> -6 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
0 </td> <td> -5 </td> <td> 2 </td> <td> 6, 24, 26, 39, 52, 78, 104, 156 </td> </tr> <tr> <td>
0 </td> <td> -4 </td> <td> 2 </td> <td> 5, 8, 15, 21, 30, 35, 42, 68, 70, 95, 105, 136 </td> </tr> <tr> <td>
0 </td> <td> -2 </td> <td> 2 </td> <td> 9, 18, 43 </td> </tr> <tr> <td>
0 </td> <td> -1 </td> <td> 2 </td> <td> 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 199 </td> </tr> <tr> <td>
0 </td> <td> 0 </td> <td> 0 </td> <td> 8, 10, 12, 15, 16, 20, 24, 26, 30, 40, 48, 60, 61, 80, 96, 120, 122, 160, 183 </td> </tr> <tr> <td>
0 </td> <td> 1 </td> <td> 2 </td> <td> 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 72, 80, 90, 120, 180 </td> </tr> <tr> <td>
0 </td> <td> 2 </td> <td> 2 </td> <td> 18 </td> </tr> <tr> <td>
0 </td> <td> 3 </td> <td> 2 </td> <td> 28, 51, 56 </td> </tr> <tr> <td>
0 </td> <td> 4 </td> <td> 2 </td> <td> 7, 8, 15, 21, 30, 35, 42, 63, 68, 70, 105, 136 </td> </tr> <tr> <td>
0 </td> <td> 5 </td> <td> 2 </td> <td> 24, 26, 39, 52, 76, 78, 104, 156 </td> </tr> <tr> <td>
0 </td> <td> 7 </td> <td> 2 </td> <td> 6, 9, 16, 18, 24, 36, 43, 48, 72, 144 </td> </tr> <tr> <td>
0 </td> <td> 8 </td> <td> 2 </td> <td> 8, 16, 19, 26, 38, 39, 57, 78, 114 </td> </tr> <tr> <td>
0 </td> <td> 9 </td> <td> 2 </td> <td> 8, 16, 20, 40, 80 </td> </tr> <tr> <td>
0 </td> <td> 10 </td> <td> 2 </td> <td> 10, 20, 21, 40, 42 </td> </tr> <tr> <td>
0 </td> <td> 11 </td> <td> 0 </td> <td> 5, 7, 10, 14, 15, 18, 19, 20, 21, 24, 28, 30, 35, 36, 37, 38, 40, 42, 45, 56, 57, 60, 63, 70, 72, 74, 76, 84, 90, 95, 105, 111, 114, 120, 126, 133, 140, 148, 152, 168, 171, 180, 185, 190 </td> </tr> <tr> <td>
0 </td> <td> 12 </td> <td> 2 </td> <td> 8, 12, 24, 48 </td> </tr> <tr> <td>
0 </td> <td> 14 </td> <td> 2 </td> <td> 15, 30, 68, 136 </td> </tr> <tr> <td>
0 </td> <td> 15 </td> <td> 2 </td> <td> 15, 16 </td> </tr> <tr> <td>
0 </td> <td> 16 </td> <td> 2 </td> <td> 5, 8, 9, 15, 16, 18, 30, 45, 90, 135 </td> </tr> <tr> <td>
0 </td> <td> 17 </td> <td> 2 </td> <td> 8, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168 </td> </tr> <tr> <td>
0 </td> <td> 19 </td> <td> 2 </td> <td> 6, 15, 20, 24, 30, 40, 60, 120 </td> </tr> <tr> <td>
0 </td> <td> 20 </td> <td> 2 </td> <td> 8, 10, 18, 20, 40, 68, 80, 85, 136, 170 </td> </tr> <tr> <td>
1 </td> <td> -16 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> -15 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> -14 </td> <td> 2 </td> <td> 5 </td> </tr> <tr> <td>
1 </td> <td> -13 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> -12 </td> <td> 2 </td> <td> 183 </td> </tr> <tr> <td>
1 </td> <td> -11 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> -10 </td> <td> 2 </td> <td> 26, 52, 104 </td> </tr> <tr> <td>
1 </td> <td> -9 </td> <td> 2 </td> <td> 5, 10, 20, 120 </td> </tr> <tr> <td>
1 </td> <td> -7 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> -6 </td> <td> 2 </td> <td> 26, 52, 104 </td> </tr> <tr> <td>
1 </td> <td> -5 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> -4 </td> <td> 2 </td> <td> 5 </td> </tr> <tr> <td>
1 </td> <td> -3 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> -2 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> -1 </td> <td> 2 </td> <td> 19 </td> </tr> <tr> <td>
1 </td> <td> 0 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> 1 </td> <td> 2 </td> <td> 5, 10, 20 </td> </tr> <tr> <td>
1 </td> <td> 3 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> 4 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> 5 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> 6 </td> <td> 2 </td> <td> 5 </td> </tr> <tr> <td>
1 </td> <td> 7 </td> <td> 2 </td> <td> 65 </td> </tr> <tr> <td>
1 </td> <td> 8 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> 9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> 11 </td> <td> 1 </td> <td> 5, 10, 20 </td> </tr> <tr> <td>
1 </td> <td> 12 </td> <td> 2 </td> <td> 20, 183 </td> </tr> <tr> <td>
1 </td> <td> 13 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> 14 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> 15 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> 17 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> 18 </td> <td> 2 </td> <td> 19, 76 </td> </tr> <tr> <td>
1 </td> <td> 19 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> 21 </td> <td> 2 </td> <td> 5, 10, 20, 120 </td> </tr> <tr> <td>
2 </td> <td> -9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> -8 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
2 </td> <td> -7 </td> <td> 2 </td> <td> 19, 26, 52, 74 </td> </tr> <tr> <td>
2 </td> <td> -6 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> -5 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> -4 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> -3 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> -1 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> 0 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> 1 </td> <td> 2 </td> <td> 28 </td> </tr> <tr> <td>
2 </td> <td> 2 </td> <td> 2 </td> <td> 37, 68, 74, 136 </td> </tr> <tr> <td>
2 </td> <td> 3 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> 4 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
2 </td> <td> 5 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> 6 </td> <td> 2 </td> <td> 26 </td> </tr> <tr> <td>
2 </td> <td> 8 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> 9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> 10 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
2 </td> <td> 11 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> 12 </td> <td> 2 </td> <td> 19 </td> </tr> <tr> <td>
2 </td> <td> 13 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> 15 </td> <td> 2 </td> <td> 28 </td> </tr> <tr> <td>
2 </td> <td> 16 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
2 </td> <td> 17 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> 18 </td> <td> 2 </td> <td> 35 </td> </tr> <tr> <td>
2 </td> <td> 20 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
2 </td> <td> 21 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
3 </td> <td> -3 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
3 </td> <td> -2 </td> <td> 2 </td> <td> 6, 9, 12, 18, 24, 26, 36, 39, 52, 72, 78, 104, 108, 117, 156 </td> </tr> <tr> <td>
3 </td> <td> -1 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
3 </td> <td> 0 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
3 </td> <td> 1 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
3 </td> <td> 2 </td> <td> 2 </td> <td> 24 </td> </tr> <tr> <td>
3 </td> <td> 3 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
3 </td> <td> 5 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
3 </td> <td> 6 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
3 </td> <td> 7 </td> <td> 2 </td> <td> 9 </td> </tr> <tr> <td>
3 </td> <td> 8 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
3 </td> <td> 9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
3 </td> <td> 10 </td> <td> 2 </td> <td> 6, 12, 24 </td> </tr> <tr> <td>
3 </td> <td> 11 </td> <td> 1 </td> <td> 39 </td> </tr> <tr> <td>
3 </td> <td> 13 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
3 </td> <td> 14 </td> <td> 2 </td> <td> 24, 74, 148 </td> </tr> <tr> <td>
3 </td> <td> 15 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
3 </td> <td> 16 </td> <td> 2 </td> <td> 6, 9, 18, 36 </td> </tr> <tr> <td>
3 </td> <td> 17 </td> <td> 2 </td> <td> 38 </td> </tr> <tr> <td>
3 </td> <td> 19 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
3 </td> <td> 20 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
3 </td> <td> 21 </td> <td> 2 </td> <td> 51 </td> </tr> <tr> <td>
3 </td> <td> 23 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
4 </td> <td> 4 </td> <td> 2 </td> <td> 8, 12, 24, 48 </td> </tr> <tr> <td>
4 </td> <td> 5 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
4 </td> <td> 6 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
4 </td> <td> 7 </td> <td> 2 </td> <td> 20, 40 </td> </tr> <tr> <td>
4 </td> <td> 8 </td> <td> 2 </td> <td> 8, 68, 136 </td> </tr> <tr> <td>
4 </td> <td> 9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
4 </td> <td> 11 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
4 </td> <td> 12 </td> <td> 2 </td> <td> 8, 26, 65, 130 </td> </tr> <tr> <td>
4 </td> <td> 13 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
4 </td> <td> 14 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
4 </td> <td> 15 </td> <td> 2 </td> <td> 74 </td> </tr> <tr> <td>
4 </td> <td> 16 </td> <td> 2 </td> <td> 8, 12, 24, 48 </td> </tr> <tr> <td>
4 </td> <td> 18 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
4 </td> <td> 19 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
4 </td> <td> 20 </td> <td> 2 </td> <td> 8, 95 </td> </tr> <tr> <td>
4 </td> <td> 21 </td> <td> 2 </td> <td> 76 </td> </tr> <tr> <td>
4 </td> <td> 23 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
4 </td> <td> 24 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
5 </td> <td> 11 </td> <td> 1 </td> <td> 5 </td> </tr> <tr> <td>
5 </td> <td> 12 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
5 </td> <td> 13 </td> <td> 2 </td> <td> 10, 20 </td> </tr> <tr> <td>
5 </td> <td> 14 </td> <td> 2 </td> <td> 20, 40 </td> </tr> <tr> <td>
5 </td> <td> 15 </td> <td> 2 </td> <td> 91 </td> </tr> <tr> <td>
5 </td> <td> 17 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
5 </td> <td> 18 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
5 </td> <td> 19 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
5 </td> <td> 20 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
5 </td> <td> 21 </td> <td> 2 </td> <td> 5 </td> </tr> <tr> <td>
5 </td> <td> 23 </td> <td> 2 </td> <td> 10, 20 </td> </tr> <tr> <td>
5 </td> <td> 24 </td> <td> 2 </td> <td> 20 </td> </tr> <tr> <td>
5 </td> <td> 25 </td> <td> 2 </td> <td> 15 </td> </tr> <tr> <td>
5 </td> <td> 27 </td> <td> 2 </td> <td> 19, 120 </td> </tr> <tr> <td>
6 </td> <td> 17 </td> <td> 2 </td> <td> 15, 20, 30, 60 </td> </tr> <tr> <td>
6 </td> <td> 18 </td> <td> 2 </td> <td> 12, 51, 68, 102, 122, 136 </td> </tr> <tr> <td>
6 </td> <td> 19 </td> <td> 2 </td> <td> 6 </td> </tr> <tr> <td>
6 </td> <td> 20 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
6 </td> <td> 21 </td> <td> 2 </td> <td> 5 </td> </tr> <tr> <td>
6 </td> <td> 23 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
6 </td> <td> 24 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
6 </td> <td> 25 </td> <td> 2 </td> <td> 6, 9, 18, 19, 36, 57, 114, 171 </td> </tr> <tr> <td>
6 </td> <td> 26 </td> <td> 2 </td> <td> 5 </td> </tr> <tr> <td>
6 </td> <td> 28 </td> <td> 2 </td> <td> 111 </td> </tr> <tr> <td>
6 </td> <td> 29 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
7 </td> <td> 24 </td> <td> 2 </td> <td> 28 </td> </tr> <tr> <td>
7 </td> <td> 25 </td> <td> 2 </td> <td> 7 </td> </tr> <tr> <td>
7 </td> <td> 26 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
7 </td> <td> 27 </td> <td> 2 </td> <td> 120 </td> </tr> <tr> <td>
7 </td> <td> 29 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
7 </td> <td> 30 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
7 </td> <td> 31 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
7 </td> <td> 33 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
8 </td> <td> 31 </td> <td> 2 </td> <td> 16 </td> </tr> <tr> <td>
8 </td> <td> 32 </td> <td> 2 </td> <td> 8, 16 </td> </tr> <tr> <td>
8 </td> <td> 33 </td> <td> 1 </td> <td> 8, 16 </td> </tr> <tr> <td>
8 </td> <td> 35 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
8 </td> <td> 36 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
9 </td> <td> 37 </td> <td> 2 </td> <td> 15 </td> </tr> <tr> <td>
9 </td> <td> 38 </td> <td> 2 </td> <td> 18, 24, 26, 36, 39, 52, 72, 76, 78, 104, 117, 156 </td> </tr> <tr> <td>
9 </td> <td> 39 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
9 </td> <td> 41 </td> <td> 2 </td> <td> 10, 20 </td> </tr> <tr> <td>
10 </td> <td> 44 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
10 </td> <td> 45 </td> <td> 2 </td> <td> 85 </td> </tr> <tr> <td>
11 </td> <td> 51 </td> <td> 2 </td> <td> 5, 10, 20, 120 </td> </tr>
</tbody>
</table>
<br />
<br />
<hr />
<br />
<br />
<table align="center" border="2" cellpadding="4" cellspacing="1" width="70%">
<thead>
<tr>
<th colspan="4"> n < 200 where 13 is a common index divisors with dim A = 2</th>
</tr>
</thead>
<tbody>
<tr> <td> a<sub>3</sub> </td> <td> a<sub>2</sub> </td> <td> p-rank </td> <td> non-monogenic n </td> </tr>
<tr> <td>-11 </td> <td> 55 </td> <td> 2 </td> <td> 6, 12 </td> </tr> <tr> <td>
-10 </td> <td> 48 </td> <td> 2 </td> <td> 11 </td> </tr> <tr> <td>
-10 </td> <td> 49 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-9 </td> <td> 39 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
-9 </td> <td> 41 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-9 </td> <td> 42 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-9 </td> <td> 43 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-9 </td> <td> 45 </td> <td> 2 </td> <td> 11, 22, 44, 88, 176 </td> </tr> <tr> <td>
-8 </td> <td> 32 </td> <td> 2 </td> <td> 8, 16, 157 </td> </tr> <tr> <td>
-8 </td> <td> 34 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-8 </td> <td> 35 </td> <td> 2 </td> <td> 24 </td> </tr> <tr> <td>
-8 </td> <td> 36 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
-8 </td> <td> 37 </td> <td> 2 </td> <td> 11, 33, 165 </td> </tr> <tr> <td>
-8 </td> <td> 39 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
-8 </td> <td> 40 </td> <td> 2 </td> <td> 8, 16, 56, 112 </td> </tr> <tr> <td>
-7 </td> <td> 25 </td> <td> 2 </td> <td> 4, 12, 24 </td> </tr> <tr> <td>
-7 </td> <td> 27 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-7 </td> <td> 28 </td> <td> 2 </td> <td> 7 </td> </tr> <tr> <td>
-7 </td> <td> 29 </td> <td> 2 </td> <td> 4, 7, 11, 21, 22, 44, 88, 176 </td> </tr> <tr> <td>
-7 </td> <td> 30 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-7 </td> <td> 31 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
-7 </td> <td> 33 </td> <td> 2 </td> <td> 4 </td> </tr> <tr> <td>
-7 </td> <td> 34 </td> <td> 2 </td> <td> 28, 56 </td> </tr> <tr> <td>
-7 </td> <td> 35 </td> <td> 2 </td> <td> 7 </td> </tr> <tr> <td>
-7 </td> <td> 37 </td> <td> 2 </td> <td> 4, 12, 24 </td> </tr> <tr> <td>
-6 </td> <td> 18 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
-6 </td> <td> 20 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-6 </td> <td> 21 </td> <td> 2 </td> <td> 15 </td> </tr> <tr> <td>
-6 </td> <td> 22 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-6 </td> <td> 23 </td> <td> 2 </td> <td> 20, 30, 36, 45, 60, 90, 180 </td> </tr> <tr> <td>
-6 </td> <td> 24 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
-6 </td> <td> 25 </td> <td> 2 </td> <td> 6 </td> </tr> <tr> <td>
-6 </td> <td> 27 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-6 </td> <td> 28 </td> <td> 2 </td> <td> 30 </td> </tr> <tr> <td>
-6 </td> <td> 29 </td> <td> 2 </td> <td> 23 </td> </tr> <tr> <td>
-6 </td> <td> 30 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
-6 </td> <td> 32 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-6 </td> <td> 33 </td> <td> 2 </td> <td> 20 </td> </tr> <tr> <td>
-5 </td> <td> 11 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-5 </td> <td> 13 </td> <td> 1 </td> <td> 6, 12, 24 </td> </tr> <tr> <td>
-5 </td> <td> 14 </td> <td> 2 </td> <td> 23, 24, 36, 72 </td> </tr> <tr> <td>
-5 </td> <td> 15 </td> <td> 2 </td> <td> 5 </td> </tr> <tr> <td>
-5 </td> <td> 16 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-5 </td> <td> 17 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-5 </td> <td> 18 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-5 </td> <td> 19 </td> <td> 2 </td> <td> 6, 7, 12 </td> </tr> <tr> <td>
-5 </td> <td> 21 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-5 </td> <td> 22 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-5 </td> <td> 23 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-5 </td> <td> 24 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-5 </td> <td> 25 </td> <td> 2 </td> <td> 5, 6, 12, 24, 150 </td> </tr> <tr> <td>
-5 </td> <td> 27 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-5 </td> <td> 28 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-5 </td> <td> 29 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-5 </td> <td> 31 </td> <td> 2 </td> <td> 6, 12 </td> </tr> <tr> <td>
-4 </td> <td> 3 </td> <td> 2 </td> <td> 20, 40 </td> </tr> <tr> <td>
-4 </td> <td> 4 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
-4 </td> <td> 6 </td> <td> 2 </td> <td> 10, 20 </td> </tr> <tr> <td>
-4 </td> <td> 7 </td> <td> 2 </td> <td> 11, 33 </td> </tr> <tr> <td>
-4 </td> <td> 8 </td> <td> 2 </td> <td> 8, 30, 56, 61, 112, 122, 183 </td> </tr> <tr> <td>
-4 </td> <td> 9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-4 </td> <td> 10 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-4 </td> <td> 11 </td> <td> 2 </td> <td> 24 </td> </tr> <tr> <td>
-4 </td> <td> 12 </td> <td> 2 </td> <td> 8, 56, 112 </td> </tr> <tr> <td>
-4 </td> <td> 13 </td> <td> 1 </td> <td> 20, 40 </td> </tr> <tr> <td>
-4 </td> <td> 15 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-4 </td> <td> 16 </td> <td> 2 </td> <td> 8, 10, 20, 40, 80 </td> </tr> <tr> <td>
-4 </td> <td> 17 </td> <td> 2 </td> <td> 24 </td> </tr> <tr> <td>
-4 </td> <td> 18 </td> <td> 2 </td> <td> 11, 154 </td> </tr> <tr> <td>
-4 </td> <td> 19 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-4 </td> <td> 20 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
-4 </td> <td> 22 </td> <td> 2 </td> <td> 56 </td> </tr> <tr> <td>
-4 </td> <td> 23 </td> <td> 2 </td> <td> 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 </td> </tr> <tr> <td>
-4 </td> <td> 24 </td> <td> 2 </td> <td> 8, 23 </td> </tr> <tr> <td>
-4 </td> <td> 25 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-4 </td> <td> 27 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-4 </td> <td> 28 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
-3 </td> <td> -4 </td> <td> 2 </td> <td> 17, 34, 36, 51, 68, 102, 153 </td> </tr> <tr> <td>
-3 </td> <td> -3 </td> <td> 2 </td> <td> 4, 140 </td> </tr> <tr> <td>
-3 </td> <td> -1 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 0 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 1 </td> <td> 2 </td> <td> 4 </td> </tr> <tr> <td>
-3 </td> <td> 2 </td> <td> 2 </td> <td> 24 </td> </tr> <tr> <td>
-3 </td> <td> 3 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 4 </td> <td> 2 </td> <td> 6, 11 </td> </tr> <tr> <td>
-3 </td> <td> 5 </td> <td> 2 </td> <td> 4 </td> </tr> <tr> <td>
-3 </td> <td> 6 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 7 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 9 </td> <td> 2 </td> <td> 4, 17, 51 </td> </tr> <tr> <td>
-3 </td> <td> 10 </td> <td> 2 </td> <td> 6, 24 </td> </tr> <tr> <td>
-3 </td> <td> 11 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 12 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 13 </td> <td> 1 </td> <td> 4, 17, 51 </td> </tr> <tr> <td>
-3 </td> <td> 14 </td> <td> 2 </td> <td> 24, 36, 72 </td> </tr> <tr> <td>
-3 </td> <td> 15 </td> <td> 2 </td> <td> 11, 22, 44 </td> </tr> <tr> <td>
-3 </td> <td> 17 </td> <td> 2 </td> <td> 4 </td> </tr> <tr> <td>
-3 </td> <td> 18 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 19 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 20 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 21 </td> <td> 2 </td> <td> 4 </td> </tr> <tr> <td>
-3 </td> <td> 23 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 24 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-3 </td> <td> 25 </td> <td> 2 </td> <td> 4 </td> </tr> <tr> <td>
-3 </td> <td> 27 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> -11 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> -10 </td> <td> 2 </td> <td> 11 </td> </tr> <tr> <td>
-2 </td> <td> -8 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> -7 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> -6 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> -5 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> -4 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> -3 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> -2 </td> <td> 2 </td> <td> 7 </td> </tr> <tr> <td>
-2 </td> <td> -1 </td> <td> 2 </td> <td> 36 </td> </tr> <tr> <td>
-2 </td> <td> 0 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 1 </td> <td> 2 </td> <td> 11, 33 </td> </tr> <tr> <td>
-2 </td> <td> 3 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 4 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 5 </td> <td> 2 </td> <td> 7, 14, 21, 28, 29, 42, 84 </td> </tr> <tr> <td>
-2 </td> <td> 6 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 7 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 8 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 10 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 12 </td> <td> 2 </td> <td> 7, 11 </td> </tr> <tr> <td>
-2 </td> <td> 13 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 14 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 15 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 16 </td> <td> 2 </td> <td> 56 </td> </tr> <tr> <td>
-2 </td> <td> 17 </td> <td> 2 </td> <td> 36 </td> </tr> <tr> <td>
-2 </td> <td> 19 </td> <td> 2 </td> <td> 7, 14, 28 </td> </tr> <tr> <td>
-2 </td> <td> 20 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 21 </td> <td> 2 </td> <td> 53 </td> </tr> <tr> <td>
-2 </td> <td> 22 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 24 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-2 </td> <td> 25 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -18 </td> <td> 2 </td> <td> 11 </td> </tr> <tr> <td>
-1 </td> <td> -17 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
-1 </td> <td> -15 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -14 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -13 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -12 </td> <td> 2 </td> <td> 20, 114 </td> </tr> <tr> <td>
-1 </td> <td> -11 </td> <td> 2 </td> <td> 12, 24, 29 </td> </tr> <tr> <td>
-1 </td> <td> -10 </td> <td> 2 </td> <td> 24 </td> </tr> <tr> <td>
-1 </td> <td> -9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -8 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -7 </td> <td> 2 </td> <td> 11, 22, 44, 45, 88, 176 </td> </tr> <tr> <td>
-1 </td> <td> -6 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -5 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
-1 </td> <td> -3 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> -2 </td> <td> 2 </td> <td> 20, 40 </td> </tr> <tr> <td>
-1 </td> <td> -1 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 0 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 1 </td> <td> 2 </td> <td> 12, 24 </td> </tr> <tr> <td>
-1 </td> <td> 2 </td> <td> 2 </td> <td> 24, 36, 72 </td> </tr> <tr> <td>
-1 </td> <td> 3 </td> <td> 2 </td> <td> 53 </td> </tr> <tr> <td>
-1 </td> <td> 4 </td> <td> 2 </td> <td> 11, 33 </td> </tr> <tr> <td>
-1 </td> <td> 5 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 7 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
-1 </td> <td> 8 </td> <td> 2 </td> <td> 20, 30, 60 </td> </tr> <tr> <td>
-1 </td> <td> 9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 10 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 11 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 12 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 13 </td> <td> 1 </td> <td> 12, 24 </td> </tr> <tr> <td>
-1 </td> <td> 15 </td> <td> 2 </td> <td> 11, 22, 44 </td> </tr> <tr> <td>
-1 </td> <td> 16 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 17 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 18 </td> <td> 2 </td> <td> 20, 29, 40 </td> </tr> <tr> <td>
-1 </td> <td> 19 </td> <td> 2 </td> <td> 12 </td> </tr> <tr> <td>
-1 </td> <td> 21 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 22 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 23 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
-1 </td> <td> 25 </td> <td> 2 </td> <td> 12, 24 </td> </tr> <tr> <td>
0 </td> <td> -25 </td> <td> 2 </td> <td> 5, 20, 24, 29, 30, 40, 48, 60, 80, 120 </td> </tr> <tr> <td>
0 </td> <td> -24 </td> <td> 2 </td> <td> 8, 12, 16, 24, 48, 51, 56, 68, 84, 96, 102, 112, 119, 136, 168 </td> </tr> <tr> <td>
0 </td> <td> -22 </td> <td> 2 </td> <td> 21, 42, 63, 126 </td> </tr> <tr> <td>
0 </td> <td> -21 </td> <td> 2 </td> <td> 7, 21 </td> </tr> <tr> <td>
0 </td> <td> -20 </td> <td> 2 </td> <td> 5, 7, 8, 10, 20, 21, 30, 35, 40, 42, 70, 80, 105 </td> </tr> <tr> <td>
0 </td> <td> -19 </td> <td> 2 </td> <td> 11, 24, 29 </td> </tr> <tr> <td>
0 </td> <td> -18 </td> <td> 2 </td> <td> 12, 56, 84, 168 </td> </tr> <tr> <td>
0 </td> <td> -17 </td> <td> 2 </td> <td> 6, 17, 24, 34, 48, 51, 68, 102, 119, 136, 187 </td> </tr> <tr> <td>
0 </td> <td> -16 </td> <td> 2 </td> <td> 8, 11, 16 </td> </tr> <tr> <td>
0 </td> <td> -15 </td> <td> 2 </td> <td> 5, 8, 15, 20, 28, 35, 40, 56, 70, 80, 112, 140 </td> </tr> <tr> <td>
0 </td> <td> -14 </td> <td> 2 </td> <td> 7, 9, 14, 28, 56 </td> </tr> <tr> <td>
0 </td> <td> -13 </td> <td> 0 </td> <td> 7, 14, 21, 24, 28, 36, 42, 56, 61, 63, 72, 84, 122, 126, 133, 157, 168, 183 </td> </tr> <tr> <td>
0 </td> <td> -12 </td> <td> 2 </td> <td> 8, 12, 24 </td> </tr> <tr> <td>
0 </td> <td> -11 </td> <td> 2 </td> <td> 6, 12, 24 </td> </tr> <tr> <td>
0 </td> <td> -9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
0 </td> <td> -8 </td> <td> 2 </td> <td> 8, 11, 16, 21, 42 </td> </tr> <tr> <td>
0 </td> <td> -7 </td> <td> 2 </td> <td> 7, 8, 24, 48, 119 </td> </tr> <tr> <td>
0 </td> <td> -6 </td> <td> 2 </td> <td> 7, 12 </td> </tr> <tr> <td>
0 </td> <td> -5 </td> <td> 2 </td> <td> 5, 6, 9, 11, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 </td> </tr> <tr> <td>
0 </td> <td> -4 </td> <td> 2 </td> <td> 8, 56, 112 </td> </tr> <tr> <td>
0 </td> <td> -3 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
0 </td> <td> -2 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
0 </td> <td> -1 </td> <td> 2 </td> <td> 21, 24, 28, 42, 48, 56, 84, 112, 168 </td> </tr> <tr> <td>
0 </td> <td> 0 </td> <td> 0 </td> <td> 5, 7, 8, 10, 12, 14, 15, 16, 17, 20, 21, 24, 28, 30, 34, 35, 40, 42, 48, 51, 56, 60, 68, 70, 80, 84, 85, 96, 102, 105, 112, 119, 120, 136, 140, 160, 168, 170 </td> </tr> <tr> <td>
0 </td> <td> 2 </td> <td> 2 </td> <td> 29 </td> </tr> <tr> <td>
0 </td> <td> 3 </td> <td> 2 </td> <td> 11 </td> </tr> <tr> <td>
0 </td> <td> 4 </td> <td> 2 </td> <td> 8, 9, 29, 56, 112 </td> </tr> <tr> <td>
0 </td> <td> 5 </td> <td> 2 </td> <td> 5, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 </td> </tr> <tr> <td>
0 </td> <td> 6 </td> <td> 2 </td> <td> 11, 12 </td> </tr> <tr> <td>
0 </td> <td> 7 </td> <td> 2 </td> <td> 6, 7, 24, 48, 119 </td> </tr> <tr> <td>
0 </td> <td> 8 </td> <td> 2 </td> <td> 7, 8, 16, 21, 42 </td> </tr> <tr> <td>
0 </td> <td> 9 </td> <td> 2 </td> <td> 8 </td> </tr> <tr> <td>
0 </td> <td> 11 </td> <td> 2 </td> <td> 24 </td> </tr> <tr> <td>
0 </td> <td> 12 </td> <td> 2 </td> <td> 8, 12, 24 </td> </tr> <tr> <td>
0 </td> <td> 13 </td> <td> 0 </td> <td> 6, 9, 12, 18, 21, 24, 28, 36, 42, 56, 61, 63, 72, 84, 108, 122, 126, 157, 168, 183 </td> </tr> <tr> <td>
0 </td> <td> 14 </td> <td> 2 </td> <td> 7, 11, 14, 28, 56 </td> </tr> <tr> <td>
0 </td> <td> 15 </td> <td> 2 </td> <td> 5, 7, 14, 15, 20, 28, 35, 40, 56, 70, 80, 112, 133, 140 </td> </tr> <tr> <td>
0 </td> <td> 16 </td> <td> 2 </td> <td> 8, 16 </td> </tr> <tr> <td>
0 </td> <td> 18 </td> <td> 2 </td> <td> 12, 56, 84, 168 </td> </tr> <tr> <td>
0 </td> <td> 19 </td> <td> 2 </td> <td> 6, 24 </td> </tr> <tr> <td>
0 </td> <td> 20 </td> <td> 2 </td> <td> 5, 8, 10, 20, 21, 30, 35, 40, 42, 70, 80, 105 </td> </tr> <tr> <td>
0 </td> <td> 21 </td> <td> 2 </td> <td> 7, 21 </td> </tr> <tr> <td>
0 </td> <td> 23 </td> <td> 2 </td> <td> 24, 36, 48, 72, 144 </td> </tr> <tr> <td>
0 </td> <td> 24 </td> <td> 2 </td> <td> 8, 12, 16, 24, 48, 51, 56, 68, 84, 96, 102, 112, 119, 136, 168 </td> </tr> <tr> <td>
1 </td> <td> -18 </td> <td> 2 </td> <td> 11 </td> </tr> <tr> <td>
1 </td> <td> -17 </td> <td> 2 </td> <td> 6, 12 </td> </tr> <tr> <td>
1 </td> <td> -15 </td> <td> 2 </td> <td> 4 </td> </tr> <tr> <td>
1 </td> <td> -14 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> -13 </td> <td> 1 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> -12 </td> <td> 2 </td> <td> 20, 114 </td> </tr> <tr> <td>
1 </td> <td> -11 </td> <td> 2 </td> <td> 4, 6, 12, 24, 29 </td> </tr> <tr> <td>
1 </td> <td> -10 </td> <td> 2 </td> <td> 24 </td> </tr> <tr> <td>
1 </td> <td> -9 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> -8 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> -7 </td> <td> 2 </td> <td> 4, 11, 22, 44, 45, 88, 176 </td> </tr> <tr> <td>
1 </td> <td> -6 </td> <td> 2 </td> <td> </td> </tr> <tr> <td>
1 </td> <td> -5 </td> <td> 2 </td> <td> 6, 12 </td> </tr> <tr> <td>