Abelian Surfaces
Abelian Threefolds
Abelian Fourfolds
| n < 1,000 where 2 is a common index divisors with dim A = 2 | |||
|---|---|---|---|
| a3 | a2 | p-rank | non-monogenic n |
| -3 | 5 | 2 | 3, 19, 31, 57, 61, 93, 171, 183, 589, 981 |
| -2 | 2 | 0 | 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 |
| -2 | 3 | 2 | 7, 47 |
| -1 | -1 | 2 | 5, 9, 11, 15, 23, 37, 43, 45, 67, 111, 127, 135, 151, 185, 203, 301, 333, 555, 999 |
| -1 | 0 | 1 | 47 |
| -1 | 1 | 2 | 3, 9, 103, 127 |
| -1 | 3 | 2 | 5, 15, 59 |
| 0 | -3 | 2 | 3, 5, 9, 11, 15, 23, 29, 33, 37, 45, 53, 87, 111, 135, 137, 185, 203, 233, 281, 301, 333, 555, 999 |
| 0 | -2 | 0 | 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 |
| 0 | -1 | 2 | 3, 17, 19, 23, 31, 57, 61, 93, 171, 183, 229, 589, 981 |
| 0 | 1 | 2 | 3, 9, 17, 19, 23, 47, 57, 61, 69, 93, 171, 183, 229, 981 |
| 0 | 2 | 0 | 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 |
| 1 | -1 | 2 | 5, 7, 9, 11, 15, 37, 43, 45, 67, 79, 111, 135, 185, 203, 301, 333, 555, 999 |
| 1 | 0 | 1 | 47 |
| 1 | 1 | 2 | 3, 9 |
| 1 | 3 | 2 | 5, 15, 59 |
| 2 | 2 | 0 | 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 |
| 2 | 3 | 2 | 7, 47 |
| 3 | 5 | 2 | 3, 19, 31, 57, 61, 93, 171, 183, 589, 981 |
| n < 500 where 3 is a common index divisors with dim A = 2 | |||
|---|---|---|---|
| a3 | a2 | p-rank | non-monogenic n |
| -4 | 8 | 2 | 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 |
| -3 | 5 | 2 | 2, 4, 29, 488 |
| -3 | 7 | 2 | 2, 4, 10, 19, 20, 40, 44, 80 |
| -2 | 1 | 2 | 2, 4, 13, 19, 20, 38, 40, 76, 86, 136, 140, 170, 194, 238, 272, 280, 340, 388, 476, 485 |
| -2 | 2 | 2 | 2, 4, 8, 10, 14, 28, 29, 58, 82, 164, 205, 410 |
| -2 | 4 | 2 | 2, 4, 8, 23 |
| -2 | 5 | 2 | 2, 4, 23 |
| -1 | -2 | 2 | 2, 4, 5, 8, 10, 13, 16, 20, 31, 37, 40, 62, 74, 80, 124, 140, 148, 160, 185, 224, 280, 296, 370 |
| -1 | -1 | 2 | 2, 4, 23 |
| -1 | 1 | 2 | 2, 4, 5, 80, 82, 100, 164, 200, 205, 328, 400, 410 |
| -1 | 2 | 2 | 2, 4, 8, 16 |
| -1 | 3 | 1 | 2, 4, 5, 17 |
| -1 | 5 | 2 | 2, 4, 29, 31, 62, 124 |
| 0 | -5 | 2 | 2, 4, 5, 8, 10, 16, 20, 25, 37, 40, 74, 80, 115, 140, 148, 160, 185, 224, 265, 280, 296, 335, 370 |
| 0 | -4 | 2 | 2, 4, 7, 8, 14, 16, 28, 32, 56, 82, 164, 205, 328, 410 |
| 0 | -2 | 2 | 2, 4, 8, 11, 17, 20, 22, 34, 68, 82, 136, 140, 164, 170, 194, 238, 272, 280, 340, 388, 433, 451, 476, 485 |
| 0 | -1 | 2 | 2, 4, 8, 11, 13, 16, 26, 29, 32, 52, 103, 104, 208, 416 |
| 0 | 0 | 0 | 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 |
| 0 | 1 | 2 | 2, 4, 8, 11, 13, 16, 26, 29, 32, 44, 52, 88, 104, 208, 416 |
| 0 | 3 | 0 | 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 |
| 0 | 4 | 2 | 2, 4, 7, 8, 14, 16, 23, 28, 32, 56, 82, 164, 205, 328, 410 |
| 1 | -2 | 2 | 2, 4, 5, 8, 10, 16, 20, 31, 37, 40, 62, 74, 80, 124, 140, 148, 160, 181, 185, 224, 280, 296, 370 |
| 1 | -1 | 2 | 2, 4, 23 |
| 1 | 1 | 2 | 2, 4, 5, 80, 82, 100, 164, 200, 205, 328, 400, 410 |
| 1 | 2 | 2 | 2, 4, 8, 16 |
| 1 | 3 | 1 | 2, 4, 5, 17 |
| 1 | 5 | 2 | 2, 4, 29, 31, 62, 124 |
| 2 | 1 | 2 | 2, 4, 11, 19, 20, 38, 40, 76, 86, 136, 140, 170, 194, 238, 272, 280, 340, 388, 476, 485 |
| 2 | 2 | 2 | 2, 4, 8, 10, 14, 28, 29, 58, 82, 164, 205, 410 |
| 2 | 4 | 2 | 2, 4, 8, 23 |
| 2 | 5 | 2 | 2, 4, 23 |
| 3 | 5 | 2 | 2, 4, 29, 488 |
| 3 | 7 | 2 | 2, 4, 10, 11, 19, 20, 22, 40, 44, 80 |
| 4 | 8 | 2 | 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 |
| n < 500 where 5 is a common index divisors with dim A = 2 | |||
|---|---|---|---|
| a3 | a2 | p-rank | non-monogenic n |
| -6 | 17 | 2 | 7, 12, 14, 21, 28, 42, 56, 84, 168, 217, 252, 434 |
| -5 | 13 | 2 | 8 |
| -5 | 15 | 0 | 11, 22, 24, 33, 44, 66, 71, 88, 124, 132, 142, 181, 213, 264, 284, 341, 362, 426, 429, 451, 492 |
| -4 | 8 | 2 | 2, 4, 8, 16, 42, 56, 84, 168, 377 |
| -4 | 9 | 2 | 4, 8 |
| -4 | 11 | 2 | 8, 13, 26, 39, 48, 52, 72, 78, 104, 117, 122, 144, 156, 208, 234, 296, 312, 468, 481 |
| -4 | 12 | 2 | 2, 4, 8, 16 |
| -3 | 4 | 2 | 3, 6, 9, 12, 18, 27, 31, 36, 54, 72, 93, 186, 279, 333, 444 |
| -3 | 5 | 1 | 4, 8 |
| -3 | 7 | 2 | 3 |
| -3 | 8 | 2 | 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 |
| -3 | 9 | 2 | 4, 8 |
| -3 | 11 | 2 | |
| -2 | -1 | 2 | 13, 26, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 481 |
| -2 | 0 | 1 | 2, 4, 19 |
| -2 | 1 | 2 | 72 |
| -2 | 3 | 2 | 17 |
| -2 | 4 | 2 | 2, 4, 6, 12, 24 |
| -2 | 5 | 1 | |
| -2 | 6 | 2 | 2, 4, 19 |
| -2 | 8 | 2 | 2, 4, 11 |
| -2 | 9 | 2 | |
| -1 | -5 | 1 | 19 |
| -1 | -4 | 2 | 7, 14, 28, 42, 56, 63, 72, 84, 126, 154, 168, 252 |
| -1 | -3 | 2 | 8, 24, 48 |
| -1 | -1 | 2 | 19, 22, 44, 88 |
| -1 | 0 | 1 | |
| -1 | 1 | 2 | 8 |
| -1 | 2 | 2 | 8, 48 |
| -1 | 3 | 2 | 7, 24 |
| -1 | 5 | 1 | 8 |
| -1 | 6 | 2 | 8 |
| -1 | 7 | 2 | |
| -1 | 9 | 2 | 8, 24, 48 |
| 0 | -9 | 2 | 7, 8, 14, 16, 17, 28, 42, 48, 51, 56, 63, 72, 84, 96, 112, 122, 126, 144, 168, 224, 252, 288, 336 |
| 0 | -8 | 2 | 2, 3, 4, 8, 16, 17, 32, 34, 39, 41, 48, 52, 68, 78, 82, 104, 136, 156, 208, 272, 312 |
| 0 | -7 | 2 | 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 |
| 0 | -5 | 0 | 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 |
| 0 | -4 | 2 | 2, 4, 8, 9, 11, 16, 18, 22, 72, 136, 272, 341, 342 |
| 0 | -3 | 2 | 4, 8, 48, 72, 144 |
| 0 | -2 | 2 | 2, 3, 4, 7, 11, 14, 21, 22, 42, 84 |
| 0 | -1 | 2 | 8, 12, 16, 24, 48, 96, 296, 333, 444 |
| 0 | 0 | 0 | 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 |
| 0 | 2 | 2 | 2, 4, 7, 14, 21, 22, 42, 84, 217 |
| 0 | 3 | 2 | 8, 19, 29, 38, 48, 72, 144 |
| 0 | 4 | 2 | 2, 3, 4, 8, 9, 16, 18, 19, 22, 27, 57, 72, 136, 171, 272, 342 |
| 0 | 5 | 0 | 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 |
| 0 | 7 | 2 | 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 |
| 0 | 8 | 2 | 2, 4, 8, 16, 17, 32, 34, 39, 41, 48, 52, 68, 78, 82, 104, 136, 156, 208, 272, 312 |
| 1 | -5 | 1 | 19 |
| 1 | -4 | 2 | 7, 11, 14, 28, 42, 56, 63, 72, 84, 126, 154, 168, 252 |
| 1 | -3 | 2 | 4, 8, 24, 48 |
| 1 | -1 | 2 | 19, 22, 44, 88 |
| 1 | 0 | 1 | |
| 1 | 1 | 2 | 4, 8 |
| 1 | 2 | 2 | 8, 48 |
| 1 | 3 | 2 | 7, 24 |
| 1 | 5 | 1 | 4, 8 |
| 1 | 6 | 2 | 8 |
| 1 | 7 | 2 | 11, 22 |
| 1 | 9 | 2 | 4, 8, 24, 48 |
| 2 | -1 | 2 | 13, 26, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 481 |
| 2 | 0 | 1 | 2, 4, 19 |
| 2 | 1 | 2 | 31, 72 |
| 2 | 3 | 2 | 17 |
| 2 | 4 | 2 | 2, 4, 6, 12, 24 |
| 2 | 5 | 1 | |
| 2 | 6 | 2 | 2, 4, 19 |
| 2 | 8 | 2 | 2, 4 |
| 2 | 9 | 2 | |
| 3 | 4 | 2 | 3, 6, 9, 12, 18, 27, 36, 54, 72, 93, 186, 279, 333, 444 |
| 3 | 5 | 1 | 8 |
| 3 | 7 | 2 | 3 |
| 3 | 8 | 2 | 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 |
| 3 | 9 | 2 | 8 |
| 3 | 11 | 2 | |
| 4 | 8 | 2 | 2, 4, 8, 16, 42, 56, 84, 168, 377 |
| 4 | 9 | 2 | 4, 8 |
| 4 | 11 | 2 | 8, 13, 26, 39, 48, 52, 72, 78, 104, 109, 117, 122, 144, 156, 208, 234, 296, 312, 468, 481 |
| 4 | 12 | 2 | 2, 4, 8, 16, 31 |
| 5 | 13 | 2 | 4, 8 |
| 5 | 15 | 0 | 11, 22, 24, 33, 44, 66, 71, 88, 124, 132, 142, 181, 213, 264, 284, 341, 362, 426, 429, 451, 492 |
| 6 | 17 | 2 | 7, 12, 14, 21, 28, 42, 56, 84, 168, 217, 252, 434 |
| n < 500 where 7 is a common index divisors with dim A = 2 | |||
|---|---|---|---|
| a3 | a2 | p-rank | non-monogenic n |
| -7 | 25 | 2 | 12 |
| -6 | 18 | 2 | 6, 12, 24 |
| -6 | 20 | 2 | 9, 11, 18 |
| -6 | 21 | 1 | 51 |
| -5 | 13 | 2 | 3, 6, 12, 18 |
| -5 | 15 | 2 | 5, 40, 50, 100, 200 |
| -5 | 16 | 2 | 3 |
| -5 | 17 | 2 | |
| -5 | 19 | 2 | 3, 6, 12, 18 |
| -4 | 8 | 2 | 8, 13, 26, 39, 78, 104, 156, 312 |
| -4 | 10 | 2 | 34, 68, 136 |
| -4 | 11 | 2 | 12, 24 |
| -4 | 12 | 2 | 8 |
| -4 | 13 | 2 | 4, 31, 279, 372 |
| -4 | 15 | 2 | |
| -4 | 16 | 2 | 8, 279 |
| -3 | 2 | 2 | 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 |
| -3 | 3 | 2 | 11, 22, 44, 88 |
| -3 | 5 | 2 | |
| -3 | 6 | 2 | 4, 80, 90, 120, 144, 180, 240, 360 |
| -3 | 7 | 1 | 15 |
| -3 | 8 | 2 | 12 |
| -3 | 9 | 2 | 5, 15 |
| -3 | 11 | 2 | 9 |
| -3 | 12 | 2 | 10, 19, 20, 38, 90, 120, 180, 360 |
| -3 | 13 | 2 | 29 |
| -3 | 15 | 2 | |
| -2 | -3 | 2 | 10, 20, 31, 209, 341, 418 |
| -2 | -2 | 2 | 3 |
| -2 | 0 | 1 | 34, 68, 136 |
| -2 | 1 | 2 | 3 |
| -2 | 2 | 2 | 10, 15, 30, 34, 68, 95, 114, 136, 190, 228, 285, 380 |
| -2 | 3 | 2 | 11 |
| -2 | 4 | 2 | 3, 5, 10, 20, 40 |
| -2 | 5 | 2 | 12 |
| -2 | 7 | 1 | 3, 10, 20 |
| -2 | 8 | 2 | 9, 18 |
| -2 | 9 | 2 | 5 |
| -2 | 10 | 2 | 3 |
| -2 | 12 | 2 | 10 |
| -2 | 13 | 2 | 3 |
| -1 | -8 | 2 | |
| -1 | -7 | 1 | 9, 40 |
| -1 | -5 | 2 | 12, 37 |
| -1 | -4 | 2 | 12 |
| -1 | -3 | 2 | 11, 22, 44, 88 |
| -1 | -2 | 2 | 4 |
| -1 | -1 | 2 | |
| -1 | 0 | 1 | |
| -1 | 1 | 2 | 12 |
| -1 | 3 | 2 | 40 |
| -1 | 4 | 2 | |
| -1 | 5 | 2 | |
| -1 | 6 | 2 | 4 |
| -1 | 7 | 1 | 12, 13 |
| -1 | 9 | 2 | |
| -1 | 10 | 2 | 4 |
| -1 | 11 | 2 | 9 |
| -1 | 13 | 2 | 12, 40, 60, 120 |
| 0 | -13 | 2 | 12, 13, 24, 26, 37, 39, 52, 74, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390 |
| 0 | -12 | 2 | 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 |
| 0 | -10 | 2 | 5, 10, 15, 20, 29, 30, 40, 50, 55, 110, 275, 290 |
| 0 | -9 | 2 | 16, 96, 144, 288 |
| 0 | -8 | 2 | 8, 16, 32, 80, 120, 240 |
| 0 | -7 | 0 | 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 |
| 0 | -6 | 2 | 6, 11, 12, 24, 117, 156, 234, 468 |
| 0 | -5 | 2 | 5, 6, 10, 12, 15, 20, 24, 30, 40, 55, 60, 73, 80, 85, 120, 146, 219, 240, 275, 292, 365, 438 |
| 0 | -4 | 2 | 8 |
| 0 | -3 | 2 | 4, 80, 90, 120, 144, 180, 240, 360 |
| 0 | -1 | 2 | 11, 12, 16, 24, 32, 48, 96, 192 |
| 0 | 0 | 0 | 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 |
| 0 | 1 | 2 | 4, 6, 8, 12, 16, 24, 32, 36, 48, 72, 96, 144, 192 |
| 0 | 2 | 2 | 9, 13, 18, 26, 37, 39, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468 |
| 0 | 3 | 2 | 80, 90, 120, 144, 180, 240, 360 |
| 0 | 4 | 2 | 8 |
| 0 | 6 | 2 | 6, 12, 24, 117, 156, 234, 468 |
| 0 | 7 | 0 | 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 |
| 0 | 8 | 2 | 8, 16, 29, 32, 80, 120, 240 |
| 0 | 9 | 2 | 4, 8, 16, 29, 96, 144, 248, 288 |
| 0 | 11 | 2 | 9, 12, 13, 18, 24, 26, 36, 37, 39, 52, 72, 74, 78, 104, 117, 144, 156, 208, 234, 312, 468 |
| 0 | 12 | 2 | 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 |
| 1 | -8 | 2 | 3 |
| 1 | -7 | 1 | 9, 40 |
| 1 | -5 | 2 | 3, 6, 12, 18, 37 |
| 1 | -4 | 2 | 12 |
| 1 | -3 | 2 | 11, 22, 44, 88 |
| 1 | -2 | 2 | 3, 4 |
| 1 | -1 | 2 | |
| 1 | 0 | 1 | |
| 1 | 1 | 2 | 3, 6, 12, 18 |
| 1 | 3 | 2 | 40 |
| 1 | 4 | 2 | 3 |
| 1 | 5 | 2 | |
| 1 | 6 | 2 | 4 |
| 1 | 7 | 1 | 3, 6, 12, 13, 18 |
| 1 | 9 | 2 | |
| 1 | 10 | 2 | 3, 4 |
| 1 | 11 | 2 | 9 |
| 1 | 13 | 2 | 3, 6, 12, 18, 19, 40, 60, 120 |
| 2 | -3 | 2 | 10, 19, 20, 209, 341, 418 |
| 2 | -2 | 2 | |
| 2 | 0 | 1 | 34, 68, 136 |
| 2 | 1 | 2 | |
| 2 | 2 | 2 | 10, 15, 30, 34, 68, 95, 114, 136, 190, 228, 285, 380 |
| 2 | 3 | 2 | 11 |
| 2 | 4 | 2 | 5, 10, 20, 40 |
| 2 | 5 | 2 | 12 |
| 2 | 7 | 1 | 10, 20 |
| 2 | 8 | 2 | 9, 18 |
| 2 | 9 | 2 | 5 |
| 2 | 10 | 2 | |
| 2 | 12 | 2 | 10 |
| 2 | 13 | 2 | |
| 3 | 2 | 2 | 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 |
| 3 | 3 | 2 | 11, 22, 44, 88 |
| 3 | 5 | 2 | |
| 3 | 6 | 2 | 4, 80, 90, 120, 144, 180, 240, 360 |
| 3 | 7 | 1 | 15 |
| 3 | 8 | 2 | 12 |
| 3 | 9 | 2 | 5, 15 |
| 3 | 11 | 2 | 9 |
| 3 | 12 | 2 | 10, 20, 38, 90, 120, 180, 360 |
| 3 | 13 | 2 | 29 |
| 3 | 15 | 2 | |
| 4 | 8 | 2 | 8, 13, 26, 39, 78, 104, 156, 312 |
| 4 | 10 | 2 | 3, 34, 68, 136 |
| 4 | 11 | 2 | 12, 24 |
| 4 | 12 | 2 | 8 |
| 4 | 13 | 2 | 3, 4, 279, 372 |
| 4 | 15 | 2 | |
| 4 | 16 | 2 | 3, 8, 279 |
| 5 | 13 | 2 | 12 |
| 5 | 15 | 2 | 5, 40, 50, 100, 200 |
| 5 | 16 | 2 | |
| 5 | 17 | 2 | |
| 5 | 19 | 2 | 12 |
| 6 | 18 | 2 | 6, 12, 24 |
| 6 | 20 | 2 | 9, 11, 18 |
| 6 | 21 | 1 | 51 |
| 7 | 25 | 2 | 3, 6, 12, 18 |
| n < 200 where 11 is a common index divisors with dim A = 2 | |||
|---|---|---|---|
| a3 | a2 | p-rank | non-monogenic n |
| -11 | 51 | 2 | 10, 20, 120 |
| -10 | 44 | 1 | |
| -10 | 45 | 2 | 85 |
| -9 | 37 | 2 | 15 |
| -9 | 38 | 2 | 18, 24, 26, 36, 39, 52, 72, 76, 78, 104, 117, 156 |
| -9 | 39 | 2 | |
| -9 | 41 | 2 | 5, 10, 20 |
| -8 | 31 | 2 | 16 |
| -8 | 32 | 2 | 8, 16 |
| -8 | 33 | 1 | 8, 16 |
| -8 | 35 | 2 | |
| -8 | 36 | 2 | 8 |
| -7 | 24 | 2 | 28 |
| -7 | 25 | 2 | 7 |
| -7 | 26 | 2 | |
| -7 | 27 | 2 | 120 |
| -7 | 29 | 2 | |
| -7 | 30 | 2 | |
| -7 | 31 | 2 | |
| -7 | 33 | 1 | |
| -6 | 17 | 2 | 15, 20, 30, 60 |
| -6 | 18 | 2 | 12, 51, 68, 102, 122, 136 |
| -6 | 19 | 2 | 6 |
| -6 | 20 | 2 | |
| -6 | 21 | 2 | |
| -6 | 23 | 2 | |
| -6 | 24 | 2 | 12 |
| -6 | 25 | 2 | 6, 9, 18, 36, 57, 114, 171 |
| -6 | 26 | 2 | |
| -6 | 28 | 2 | 111 |
| -6 | 29 | 2 | |
| -5 | 11 | 1 | 5 |
| -5 | 12 | 2 | |
| -5 | 13 | 2 | 10, 20 |
| -5 | 14 | 2 | 20, 40 |
| -5 | 15 | 2 | 91 |
| -5 | 17 | 2 | |
| -5 | 18 | 2 | |
| -5 | 19 | 2 | |
| -5 | 20 | 2 | |
| -5 | 21 | 2 | 5 |
| -5 | 23 | 2 | 10, 20 |
| -5 | 24 | 2 | 20 |
| -5 | 25 | 2 | 15 |
| -5 | 27 | 2 | 120 |
| -4 | 4 | 2 | 8, 12, 24, 48 |
| -4 | 5 | 2 | |
| -4 | 6 | 2 | 5 |
| -4 | 7 | 2 | 20, 40 |
| -4 | 8 | 2 | 8, 68, 136 |
| -4 | 9 | 2 | |
| -4 | 11 | 1 | 5 |
| -4 | 12 | 2 | 8, 26, 65, 130 |
| -4 | 13 | 2 | |
| -4 | 14 | 2 | |
| -4 | 15 | 2 | 74 |
| -4 | 16 | 2 | 5, 8, 12, 24, 48 |
| -4 | 18 | 2 | |
| -4 | 19 | 2 | |
| -4 | 20 | 2 | 8 |
| -4 | 21 | 2 | 5, 19, 76 |
| -4 | 23 | 2 | |
| -4 | 24 | 2 | 8 |
| -3 | -3 | 2 | |
| -3 | -2 | 2 | 6, 9, 12, 18, 24, 26, 36, 39, 52, 72, 78, 104, 108, 117, 156 |
| -3 | -1 | 2 | |
| -3 | 0 | 1 | |
| -3 | 1 | 2 | |
| -3 | 2 | 2 | 24 |
| -3 | 3 | 2 | |
| -3 | 5 | 2 | |
| -3 | 6 | 2 | |
| -3 | 7 | 2 | 9 |
| -3 | 8 | 2 | |
| -3 | 9 | 2 | |
| -3 | 10 | 2 | 6, 12, 24 |
| -3 | 11 | 1 | 39 |
| -3 | 13 | 2 | |
| -3 | 14 | 2 | 24, 74, 148 |
| -3 | 15 | 2 | |
| -3 | 16 | 2 | 6, 9, 18, 36 |
| -3 | 17 | 2 | |
| -3 | 19 | 2 | |
| -3 | 20 | 2 | |
| -3 | 21 | 2 | 51 |
| -3 | 23 | 2 | |
| -2 | -9 | 2 | |
| -2 | -8 | 2 | 12 |
| -2 | -7 | 2 | 26, 52, 74 |
| -2 | -6 | 2 | |
| -2 | -5 | 2 | |
| -2 | -4 | 2 | |
| -2 | -3 | 2 | |
| -2 | -1 | 2 | |
| -2 | 0 | 1 | |
| -2 | 1 | 2 | 28 |
| -2 | 2 | 2 | 37, 68, 74, 136 |
| -2 | 3 | 2 | |
| -2 | 4 | 2 | 12 |
| -2 | 5 | 2 | |
| -2 | 6 | 2 | 26 |
| -2 | 8 | 2 | |
| -2 | 9 | 2 | |
| -2 | 10 | 2 | 12 |
| -2 | 11 | 1 | |
| -2 | 12 | 2 | |
| -2 | 13 | 2 | |
| -2 | 15 | 2 | 28 |
| -2 | 16 | 2 | 12 |
| -2 | 17 | 2 | |
| -2 | 18 | 2 | |
| -2 | 20 | 2 | |
| -2 | 21 | 2 | |
| -1 | -16 | 2 | |
| -1 | -15 | 2 | |
| -1 | -14 | 2 | |
| -1 | -13 | 2 | |
| -1 | -12 | 2 | 183 |
| -1 | -11 | 1 | |
| -1 | -10 | 2 | 26, 52, 104 |
| -1 | -9 | 2 | 10, 20, 120 |
| -1 | -7 | 2 | |
| -1 | -6 | 2 | 26, 52, 104 |
| -1 | -5 | 2 | |
| -1 | -4 | 2 | |
| -1 | -3 | 2 | |
| -1 | -2 | 2 | |
| -1 | -1 | 2 | |
| -1 | 0 | 1 | |
| -1 | 1 | 2 | 10, 20 |
| -1 | 3 | 2 | |
| -1 | 4 | 2 | |
| -1 | 5 | 2 | |
| -1 | 6 | 2 | |
| -1 | 7 | 2 | 65 |
| -1 | 8 | 2 | |
| -1 | 9 | 2 | |
| -1 | 11 | 1 | 10, 20 |
| -1 | 12 | 2 | 20, 183 |
| -1 | 13 | 2 | |
| -1 | 14 | 2 | |
| -1 | 15 | 2 | |
| -1 | 17 | 2 | |
| -1 | 18 | 2 | 76 |
| -1 | 19 | 2 | |
| -1 | 21 | 2 | 10, 20, 120 |
| 0 | -21 | 2 | 20, 26, 40, 51, 52, 65, 104, 130 |
| 0 | -20 | 2 | 8, 9, 10, 18, 20, 40, 57, 68, 80, 85, 136, 170, 171 |
| 0 | -19 | 2 | 5, 10, 15, 20, 24, 30, 40, 60, 74, 120, 148, 185 |
| 0 | -18 | 2 | 12, 26, 91, 182 |
| 0 | -17 | 2 | 6, 7, 14, 16, 21, 24, 28, 42, 48, 56, 63, 84, 112, 126, 168 |
| 0 | -16 | 2 | 8, 15, 16, 18, 30, 45, 90 |
| 0 | -15 | 2 | 8, 15, 16 |
| 0 | -13 | 2 | 24, 26, 39, 52, 78, 104, 156 |
| 0 | -12 | 2 | 8, 12, 24, 48 |
| 0 | -11 | 0 | 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 |
| 0 | -10 | 2 | 7, 10, 20, 21, 40, 42 |
| 0 | -9 | 2 | 5, 10, 16, 20, 40, 80 |
| 0 | -8 | 2 | 8, 16, 19, 26, 38, 39, 57, 78, 114, 171 |
| 0 | -7 | 2 | 8, 16, 18, 24, 36, 48, 72, 144 |
| 0 | -6 | 2 | 12 |
| 0 | -5 | 2 | 6, 24, 26, 39, 52, 78, 104, 156 |
| 0 | -4 | 2 | 5, 8, 15, 21, 30, 35, 42, 68, 70, 95, 105, 136 |
| 0 | -2 | 2 | 9, 18, 43 |
| 0 | -1 | 2 | 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 199 |
| 0 | 0 | 0 | 8, 10, 12, 15, 16, 20, 24, 26, 30, 40, 48, 60, 61, 80, 96, 120, 122, 160, 183 |
| 0 | 1 | 2 | 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 72, 80, 90, 120, 180 |
| 0 | 2 | 2 | 18 |
| 0 | 3 | 2 | 28, 51, 56 |
| 0 | 4 | 2 | 7, 8, 15, 21, 30, 35, 42, 63, 68, 70, 105, 136 |
| 0 | 5 | 2 | 24, 26, 39, 52, 76, 78, 104, 156 |
| 0 | 7 | 2 | 6, 9, 16, 18, 24, 36, 43, 48, 72, 144 |
| 0 | 8 | 2 | 8, 16, 19, 26, 38, 39, 57, 78, 114 |
| 0 | 9 | 2 | 8, 16, 20, 40, 80 |
| 0 | 10 | 2 | 10, 20, 21, 40, 42 |
| 0 | 11 | 0 | 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 |
| 0 | 12 | 2 | 8, 12, 24, 48 |
| 0 | 14 | 2 | 15, 30, 68, 136 |
| 0 | 15 | 2 | 15, 16 |
| 0 | 16 | 2 | 5, 8, 9, 15, 16, 18, 30, 45, 90, 135 |
| 0 | 17 | 2 | 8, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168 |
| 0 | 19 | 2 | 6, 15, 20, 24, 30, 40, 60, 120 |
| 0 | 20 | 2 | 8, 10, 18, 20, 40, 68, 80, 85, 136, 170 |
| 1 | -16 | 2 | |
| 1 | -15 | 2 | |
| 1 | -14 | 2 | 5 |
| 1 | -13 | 2 | |
| 1 | -12 | 2 | 183 |
| 1 | -11 | 1 | |
| 1 | -10 | 2 | 26, 52, 104 |
| 1 | -9 | 2 | 5, 10, 20, 120 |
| 1 | -7 | 2 | |
| 1 | -6 | 2 | 26, 52, 104 |
| 1 | -5 | 2 | |
| 1 | -4 | 2 | 5 |
| 1 | -3 | 2 | |
| 1 | -2 | 2 | |
| 1 | -1 | 2 | 19 |
| 1 | 0 | 1 | |
| 1 | 1 | 2 | 5, 10, 20 |
| 1 | 3 | 2 | |
| 1 | 4 | 2 | |
| 1 | 5 | 2 | |
| 1 | 6 | 2 | 5 |
| 1 | 7 | 2 | 65 |
| 1 | 8 | 2 | |
| 1 | 9 | 2 | |
| 1 | 11 | 1 | 5, 10, 20 |
| 1 | 12 | 2 | 20, 183 |
| 1 | 13 | 2 | |
| 1 | 14 | 2 | |
| 1 | 15 | 2 | |
| 1 | 17 | 2 | |
| 1 | 18 | 2 | 19, 76 |
| 1 | 19 | 2 | |
| 1 | 21 | 2 | 5, 10, 20, 120 |
| 2 | -9 | 2 | |
| 2 | -8 | 2 | 12 |
| 2 | -7 | 2 | 19, 26, 52, 74 |
| 2 | -6 | 2 | |
| 2 | -5 | 2 | |
| 2 | -4 | 2 | |
| 2 | -3 | 2 | |
| 2 | -1 | 2 | |
| 2 | 0 | 1 | |
| 2 | 1 | 2 | 28 |
| 2 | 2 | 2 | 37, 68, 74, 136 |
| 2 | 3 | 2 | |
| 2 | 4 | 2 | 12 |
| 2 | 5 | 2 | |
| 2 | 6 | 2 | 26 |
| 2 | 8 | 2 | |
| 2 | 9 | 2 | |
| 2 | 10 | 2 | 12 |
| 2 | 11 | 1 | |
| 2 | 12 | 2 | 19 |
| 2 | 13 | 2 | |
| 2 | 15 | 2 | 28 |
| 2 | 16 | 2 | 12 |
| 2 | 17 | 2 | |
| 2 | 18 | 2 | 35 |
| 2 | 20 | 2 | |
| 2 | 21 | 2 | |
| 3 | -3 | 2 | |
| 3 | -2 | 2 | 6, 9, 12, 18, 24, 26, 36, 39, 52, 72, 78, 104, 108, 117, 156 |
| 3 | -1 | 2 | |
| 3 | 0 | 1 | |
| 3 | 1 | 2 | |
| 3 | 2 | 2 | 24 |
| 3 | 3 | 2 | |
| 3 | 5 | 2 | |
| 3 | 6 | 2 | |
| 3 | 7 | 2 | 9 |
| 3 | 8 | 2 | |
| 3 | 9 | 2 | |
| 3 | 10 | 2 | 6, 12, 24 |
| 3 | 11 | 1 | 39 |
| 3 | 13 | 2 | |
| 3 | 14 | 2 | 24, 74, 148 |
| 3 | 15 | 2 | |
| 3 | 16 | 2 | 6, 9, 18, 36 |
| 3 | 17 | 2 | 38 |
| 3 | 19 | 2 | |
| 3 | 20 | 2 | |
| 3 | 21 | 2 | 51 |
| 3 | 23 | 2 | |
| 4 | 4 | 2 | 8, 12, 24, 48 |
| 4 | 5 | 2 | |
| 4 | 6 | 2 | |
| 4 | 7 | 2 | 20, 40 |
| 4 | 8 | 2 | 8, 68, 136 |
| 4 | 9 | 2 | |
| 4 | 11 | 1 | |
| 4 | 12 | 2 | 8, 26, 65, 130 |
| 4 | 13 | 2 | |
| 4 | 14 | 2 | |
| 4 | 15 | 2 | 74 |
| 4 | 16 | 2 | 8, 12, 24, 48 |
| 4 | 18 | 2 | |
| 4 | 19 | 2 | |
| 4 | 20 | 2 | 8, 95 |
| 4 | 21 | 2 | 76 |
| 4 | 23 | 2 | |
| 4 | 24 | 2 | 8 |
| 5 | 11 | 1 | 5 |
| 5 | 12 | 2 | |
| 5 | 13 | 2 | 10, 20 |
| 5 | 14 | 2 | 20, 40 |
| 5 | 15 | 2 | 91 |
| 5 | 17 | 2 | |
| 5 | 18 | 2 | |
| 5 | 19 | 2 | |
| 5 | 20 | 2 | |
| 5 | 21 | 2 | 5 |
| 5 | 23 | 2 | 10, 20 |
| 5 | 24 | 2 | 20 |
| 5 | 25 | 2 | 15 |
| 5 | 27 | 2 | 19, 120 |
| 6 | 17 | 2 | 15, 20, 30, 60 |
| 6 | 18 | 2 | 12, 51, 68, 102, 122, 136 |
| 6 | 19 | 2 | 6 |
| 6 | 20 | 2 | |
| 6 | 21 | 2 | 5 |
| 6 | 23 | 2 | |
| 6 | 24 | 2 | 12 |
| 6 | 25 | 2 | 6, 9, 18, 19, 36, 57, 114, 171 |
| 6 | 26 | 2 | 5 |
| 6 | 28 | 2 | 111 |
| 6 | 29 | 2 | |
| 7 | 24 | 2 | 28 |
| 7 | 25 | 2 | 7 |
| 7 | 26 | 2 | |
| 7 | 27 | 2 | 120 |
| 7 | 29 | 2 | |
| 7 | 30 | 2 | |
| 7 | 31 | 2 | |
| 7 | 33 | 1 | |
| 8 | 31 | 2 | 16 |
| 8 | 32 | 2 | 8, 16 |
| 8 | 33 | 1 | 8, 16 |
| 8 | 35 | 2 | |
| 8 | 36 | 2 | 8 |
| 9 | 37 | 2 | 15 |
| 9 | 38 | 2 | 18, 24, 26, 36, 39, 52, 72, 76, 78, 104, 117, 156 |
| 9 | 39 | 2 | |
| 9 | 41 | 2 | 10, 20 |
| 10 | 44 | 1 | |
| 10 | 45 | 2 | 85 |
| 11 | 51 | 2 | 5, 10, 20, 120 |
| n < 200 where 13 is a common index divisors with dim A = 2 | |||
|---|---|---|---|
| a3 | a2 | p-rank | non-monogenic n |
| -11 | 55 | 2 | 6, 12 |
| -10 | 48 | 2 | 11 |
| -10 | 49 | 2 | |
| -9 | 39 | 1 | |
| -9 | 41 | 2 | |
| -9 | 42 | 2 | |
| -9 | 43 | 2 | |
| -9 | 45 | 2 | 11, 22, 44, 88, 176 |
| -8 | 32 | 2 | 8, 16, 157 |
| -8 | 34 | 2 | |
| -8 | 35 | 2 | 24 |
| -8 | 36 | 2 | 8 |
| -8 | 37 | 2 | 11, 33, 165 |
| -8 | 39 | 1 | |
| -8 | 40 | 2 | 8, 16, 56, 112 |
| -7 | 25 | 2 | 4, 12, 24 |
| -7 | 27 | 2 | |
| -7 | 28 | 2 | 7 |
| -7 | 29 | 2 | 4, 7, 11, 21, 22, 44, 88, 176 |
| -7 | 30 | 2 | |
| -7 | 31 | 2 | 12 |
| -7 | 33 | 2 | 4 |
| -7 | 34 | 2 | 28, 56 |
| -7 | 35 | 2 | 7 |
| -7 | 37 | 2 | 4, 12, 24 |
| -6 | 18 | 2 | 12 |
| -6 | 20 | 2 | |
| -6 | 21 | 2 | 15 |
| -6 | 22 | 2 | |
| -6 | 23 | 2 | 20, 30, 36, 45, 60, 90, 180 |
| -6 | 24 | 2 | 12 |
| -6 | 25 | 2 | 6 |
| -6 | 27 | 2 | |
| -6 | 28 | 2 | 30 |
| -6 | 29 | 2 | 23 |
| -6 | 30 | 2 | 12 |
| -6 | 32 | 2 | |
| -6 | 33 | 2 | 20 |
| -5 | 11 | 2 | |
| -5 | 13 | 1 | 6, 12, 24 |
| -5 | 14 | 2 | 23, 24, 36, 72 |
| -5 | 15 | 2 | 5 |
| -5 | 16 | 2 | |
| -5 | 17 | 2 | |
| -5 | 18 | 2 | |
| -5 | 19 | 2 | 6, 7, 12 |
| -5 | 21 | 2 | |
| -5 | 22 | 2 | |
| -5 | 23 | 2 | |
| -5 | 24 | 2 | |
| -5 | 25 | 2 | 5, 6, 12, 24, 150 |
| -5 | 27 | 2 | |
| -5 | 28 | 2 | |
| -5 | 29 | 2 | |
| -5 | 31 | 2 | 6, 12 |
| -4 | 3 | 2 | 20, 40 |
| -4 | 4 | 2 | 8 |
| -4 | 6 | 2 | 10, 20 |
| -4 | 7 | 2 | 11, 33 |
| -4 | 8 | 2 | 8, 30, 56, 61, 112, 122, 183 |
| -4 | 9 | 2 | |
| -4 | 10 | 2 | |
| -4 | 11 | 2 | 24 |
| -4 | 12 | 2 | 8, 56, 112 |
| -4 | 13 | 1 | 20, 40 |
| -4 | 15 | 2 | |
| -4 | 16 | 2 | 8, 10, 20, 40, 80 |
| -4 | 17 | 2 | 24 |
| -4 | 18 | 2 | 11, 154 |
| -4 | 19 | 2 | |
| -4 | 20 | 2 | 8 |
| -4 | 22 | 2 | 56 |
| -4 | 23 | 2 | 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 |
| -4 | 24 | 2 | 8, 23 |
| -4 | 25 | 2 | |
| -4 | 27 | 2 | |
| -4 | 28 | 2 | 8 |
| -3 | -4 | 2 | 17, 34, 36, 51, 68, 102, 153 |
| -3 | -3 | 2 | 4, 140 |
| -3 | -1 | 2 | |
| -3 | 0 | 1 | |
| -3 | 1 | 2 | 4 |
| -3 | 2 | 2 | 24 |
| -3 | 3 | 2 | |
| -3 | 4 | 2 | 6, 11 |
| -3 | 5 | 2 | 4 |
| -3 | 6 | 2 | |
| -3 | 7 | 2 | |
| -3 | 9 | 2 | 4, 17, 51 |
| -3 | 10 | 2 | 6, 24 |
| -3 | 11 | 2 | |
| -3 | 12 | 2 | |
| -3 | 13 | 1 | 4, 17, 51 |
| -3 | 14 | 2 | 24, 36, 72 |
| -3 | 15 | 2 | 11, 22, 44 |
| -3 | 17 | 2 | 4 |
| -3 | 18 | 2 | |
| -3 | 19 | 2 | |
| -3 | 20 | 2 | |
| -3 | 21 | 2 | 4 |
| -3 | 23 | 2 | |
| -3 | 24 | 2 | |
| -3 | 25 | 2 | 4 |
| -3 | 27 | 2 | |
| -2 | -11 | 2 | |
| -2 | -10 | 2 | 11 |
| -2 | -8 | 2 | |
| -2 | -7 | 2 | |
| -2 | -6 | 2 | |
| -2 | -5 | 2 | |
| -2 | -4 | 2 | |
| -2 | -3 | 2 | |
| -2 | -2 | 2 | 7 |
| -2 | -1 | 2 | 36 |
| -2 | 0 | 1 | |
| -2 | 1 | 2 | 11, 33 |
| -2 | 3 | 2 | |
| -2 | 4 | 2 | |
| -2 | 5 | 2 | 7, 14, 21, 28, 29, 42, 84 |
| -2 | 6 | 2 | |
| -2 | 7 | 2 | |
| -2 | 8 | 2 | |
| -2 | 9 | 2 | |
| -2 | 10 | 2 | |
| -2 | 12 | 2 | 7, 11 |
| -2 | 13 | 1 | |
| -2 | 14 | 2 | |
| -2 | 15 | 2 | |
| -2 | 16 | 2 | 56 |
| -2 | 17 | 2 | 36 |
| -2 | 19 | 2 | 7, 14, 28 |
| -2 | 20 | 2 | |
| -2 | 21 | 2 | 53 |
| -2 | 22 | 2 | |
| -2 | 24 | 2 | |
| -2 | 25 | 2 | |
| -1 | -18 | 2 | 11 |
| -1 | -17 | 2 | 12 |
| -1 | -15 | 2 | |
| -1 | -14 | 2 | |
| -1 | -13 | 1 | |
| -1 | -12 | 2 | 20, 114 |
| -1 | -11 | 2 | 12, 24, 29 |
| -1 | -10 | 2 | 24 |
| -1 | -9 | 2 | |
| -1 | -8 | 2 | |
| -1 | -7 | 2 | 11, 22, 44, 45, 88, 176 |
| -1 | -6 | 2 | |
| -1 | -5 | 2 | 12 |
| -1 | -3 | 2 | |
| -1 | -2 | 2 | 20, 40 |
| -1 | -1 | 2 | |
| -1 | 0 | 1 | |
| -1 | 1 | 2 | 12, 24 |
| -1 | 2 | 2 | 24, 36, 72 |
| -1 | 3 | 2 | 53 |
| -1 | 4 | 2 | 11, 33 |
| -1 | 5 | 2 | |
| -1 | 7 | 2 | 12 |
| -1 | 8 | 2 | 20, 30, 60 |
| -1 | 9 | 2 | |
| -1 | 10 | 2 | |
| -1 | 11 | 2 | |
| -1 | 12 | 2 | |
| -1 | 13 | 1 | 12, 24 |
| -1 | 15 | 2 | 11, 22, 44 |
| -1 | 16 | 2 | |
| -1 | 17 | 2 | |
| -1 | 18 | 2 | 20, 29, 40 |
| -1 | 19 | 2 | 12 |
| -1 | 21 | 2 | |
| -1 | 22 | 2 | |
| -1 | 23 | 2 | |
| -1 | 25 | 2 | 12, 24 |
| 0 | -25 | 2 | 5, 20, 24, 29, 30, 40, 48, 60, 80, 120 |
| 0 | -24 | 2 | 8, 12, 16, 24, 48, 51, 56, 68, 84, 96, 102, 112, 119, 136, 168 |
| 0 | -22 | 2 | 21, 42, 63, 126 |
| 0 | -21 | 2 | 7, 21 |
| 0 | -20 | 2 | 5, 7, 8, 10, 20, 21, 30, 35, 40, 42, 70, 80, 105 |
| 0 | -19 | 2 | 11, 24, 29 |
| 0 | -18 | 2 | 12, 56, 84, 168 |
| 0 | -17 | 2 | 6, 17, 24, 34, 48, 51, 68, 102, 119, 136, 187 |
| 0 | -16 | 2 | 8, 11, 16 |
| 0 | -15 | 2 | 5, 8, 15, 20, 28, 35, 40, 56, 70, 80, 112, 140 |
| 0 | -14 | 2 | 7, 9, 14, 28, 56 |
| 0 | -13 | 0 | 7, 14, 21, 24, 28, 36, 42, 56, 61, 63, 72, 84, 122, 126, 133, 157, 168, 183 |
| 0 | -12 | 2 | 8, 12, 24 |
| 0 | -11 | 2 | 6, 12, 24 |
| 0 | -9 | 2 | |
| 0 | -8 | 2 | 8, 11, 16, 21, 42 |
| 0 | -7 | 2 | 7, 8, 24, 48, 119 |
| 0 | -6 | 2 | 7, 12 |
| 0 | -5 | 2 | 5, 6, 9, 11, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 |
| 0 | -4 | 2 | 8, 56, 112 |
| 0 | -3 | 2 | |
| 0 | -2 | 2 | |
| 0 | -1 | 2 | 21, 24, 28, 42, 48, 56, 84, 112, 168 |
| 0 | 0 | 0 | 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 |
| 0 | 2 | 2 | 29 |
| 0 | 3 | 2 | 11 |
| 0 | 4 | 2 | 8, 9, 29, 56, 112 |
| 0 | 5 | 2 | 5, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 |
| 0 | 6 | 2 | 11, 12 |
| 0 | 7 | 2 | 6, 7, 24, 48, 119 |
| 0 | 8 | 2 | 7, 8, 16, 21, 42 |
| 0 | 9 | 2 | 8 |
| 0 | 11 | 2 | 24 |
| 0 | 12 | 2 | 8, 12, 24 |
| 0 | 13 | 0 | 6, 9, 12, 18, 21, 24, 28, 36, 42, 56, 61, 63, 72, 84, 108, 122, 126, 157, 168, 183 |
| 0 | 14 | 2 | 7, 11, 14, 28, 56 |
| 0 | 15 | 2 | 5, 7, 14, 15, 20, 28, 35, 40, 56, 70, 80, 112, 133, 140 |
| 0 | 16 | 2 | 8, 16 |
| 0 | 18 | 2 | 12, 56, 84, 168 |
| 0 | 19 | 2 | 6, 24 |
| 0 | 20 | 2 | 5, 8, 10, 20, 21, 30, 35, 40, 42, 70, 80, 105 |
| 0 | 21 | 2 | 7, 21 |
| 0 | 23 | 2 | 24, 36, 48, 72, 144 |
| 0 | 24 | 2 | 8, 12, 16, 24, 48, 51, 56, 68, 84, 96, 102, 112, 119, 136, 168 |
| 1 | -18 | 2 | 11 |
| 1 | -17 | 2 | 6, 12 |
| 1 | -15 | 2 | 4 |
| 1 | -14 | 2 | |
| 1 | -13 | 1 | |
| 1 | -12 | 2 | 20, 114 |
| 1 | -11 | 2 | 4, 6, 12, 24, 29 |
| 1 | -10 | 2 | 24 |
| 1 | -9 | 2 | |
| 1 | -8 | 2 | |
| 1 | -7 | 2 | 4, 11, 22, 44, 45, 88, 176 |
| 1 | -6 | 2 | |
| 1 | -5 | 2 | 6, 12 |
| 1 | -3 | 2 | 4 |
| 1 | -2 | 2 | 20, 40 |
| 1 | -1 | 2 | |
| 1 | 0 | 1 | |
| 1 | 1 | 2 | 4, 6, 12, 24 |
| 1 | 2 | 2 | 24, 36, 72 |
| 1 | 3 | 2 | |
| 1 | 4 | 2 | 11, 33 |
| 1 | 5 | 2 | 4 |
| 1 | 7 | 2 | 6, 12 |
| 1 | 8 | 2 | 20, 30, 60 |
| 1 | 9 | 2 | 4 |
| 1 | 10 | 2 | |
| 1 | 11 | 2 | |
| 1 | 12 | 2 | |
| 1 | 13 | 1 | 4, 6, 12, 24 |
| 1 | 15 | 2 | 11, 22, 44 |
| 1 | 16 | 2 | 103 |
| 1 | 17 | 2 | 4 |
| 1 | 18 | 2 | 20, 29, 40 |
| 1 | 19 | 2 | 6, 12 |
| 1 | 21 | 2 | 4 |
| 1 | 22 | 2 | |
| 1 | 23 | 2 | |
| 1 | 25 | 2 | 4, 6, 12, 24 |
| 2 | -11 | 2 | |
| 2 | -10 | 2 | 11 |
| 2 | -8 | 2 | |
| 2 | -7 | 2 | |
| 2 | -6 | 2 | |
| 2 | -5 | 2 | |
| 2 | -4 | 2 | |
| 2 | -3 | 2 | |
| 2 | -2 | 2 | 7 |
| 2 | -1 | 2 | 36 |
| 2 | 0 | 1 | 23 |
| 2 | 1 | 2 | 11, 33 |
| 2 | 3 | 2 | |
| 2 | 4 | 2 | |
| 2 | 5 | 2 | 7, 14, 21, 28, 29, 42, 84 |
| 2 | 6 | 2 | |
| 2 | 7 | 2 | |
| 2 | 8 | 2 | |
| 2 | 9 | 2 | |
| 2 | 10 | 2 | |
| 2 | 12 | 2 | 7, 11 |
| 2 | 13 | 1 | |
| 2 | 14 | 2 | |
| 2 | 15 | 2 | |
| 2 | 16 | 2 | 56 |
| 2 | 17 | 2 | 36 |
| 2 | 19 | 2 | 7, 14, 28 |
| 2 | 20 | 2 | |
| 2 | 21 | 2 | |
| 2 | 22 | 2 | |
| 2 | 24 | 2 | |
| 2 | 25 | 2 | |
| 3 | -4 | 2 | 17, 34, 36, 51, 68, 102, 153 |
| 3 | -3 | 2 | 140 |
| 3 | -1 | 2 | |
| 3 | 0 | 1 | 53 |
| 3 | 1 | 2 | |
| 3 | 2 | 2 | 24 |
| 3 | 3 | 2 | |
| 3 | 4 | 2 | 6, 11 |
| 3 | 5 | 2 | |
| 3 | 6 | 2 | |
| 3 | 7 | 2 | |
| 3 | 9 | 2 | 17, 51 |
| 3 | 10 | 2 | 6, 24 |
| 3 | 11 | 2 | |
| 3 | 12 | 2 | |
| 3 | 13 | 1 | 17, 51 |
| 3 | 14 | 2 | 24, 36, 72 |
| 3 | 15 | 2 | 11, 22, 44 |
| 3 | 17 | 2 | |
| 3 | 18 | 2 | |
| 3 | 19 | 2 | |
| 3 | 20 | 2 | |
| 3 | 21 | 2 | |
| 3 | 23 | 2 | |
| 3 | 24 | 2 | |
| 3 | 25 | 2 | |
| 3 | 27 | 2 | |
| 4 | 3 | 2 | 20, 40 |
| 4 | 4 | 2 | 8 |
| 4 | 6 | 2 | 10, 20 |
| 4 | 7 | 2 | 11, 33 |
| 4 | 8 | 2 | 8, 30, 56, 61, 112, 122, 183 |
| 4 | 9 | 2 | |
| 4 | 10 | 2 | |
| 4 | 11 | 2 | 24 |
| 4 | 12 | 2 | 8, 56, 112 |
| 4 | 13 | 1 | 20, 40 |
| 4 | 15 | 2 | |
| 4 | 16 | 2 | 8, 10, 20, 40, 80 |
| 4 | 17 | 2 | 24 |
| 4 | 18 | 2 | 11, 154 |
| 4 | 19 | 2 | |
| 4 | 20 | 2 | 8 |
| 4 | 22 | 2 | 56 |
| 4 | 23 | 2 | 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 |
| 4 | 24 | 2 | 8 |
| 4 | 25 | 2 | |
| 4 | 27 | 2 | |
| 4 | 28 | 2 | 8 |
| 5 | 11 | 2 | |
| 5 | 13 | 1 | 4, 12, 24 |
| 5 | 14 | 2 | 24, 36, 72 |
| 5 | 15 | 2 | 5 |
| 5 | 16 | 2 | |
| 5 | 17 | 2 | 4 |
| 5 | 18 | 2 | |
| 5 | 19 | 2 | 7, 12 |
| 5 | 21 | 2 | 4 |
| 5 | 22 | 2 | |
| 5 | 23 | 2 | |
| 5 | 24 | 2 | |
| 5 | 25 | 2 | 4, 5, 12, 24, 150 |
| 5 | 27 | 2 | |
| 5 | 28 | 2 | |
| 5 | 29 | 2 | 4 |
| 5 | 31 | 2 | 12 |
| 6 | 18 | 2 | 12 |
| 6 | 20 | 2 | |
| 6 | 21 | 2 | 15 |
| 6 | 22 | 2 | |
| 6 | 23 | 2 | 20, 30, 36, 45, 60, 61, 90, 180 |
| 6 | 24 | 2 | 12 |
| 6 | 25 | 2 | 6 |
| 6 | 27 | 2 | |
| 6 | 28 | 2 | 30 |
| 6 | 29 | 2 | |
| 6 | 30 | 2 | 12 |
| 6 | 32 | 2 | |
| 6 | 33 | 2 | 20 |
| 7 | 25 | 2 | 6, 12, 24 |
| 7 | 27 | 2 | |
| 7 | 28 | 2 | 7 |
| 7 | 29 | 2 | 7, 11, 21, 22, 44, 88, 176 |
| 7 | 30 | 2 | |
| 7 | 31 | 2 | 6, 12 |
| 7 | 33 | 2 | |
| 7 | 34 | 2 | 28, 56 |
| 7 | 35 | 2 | 7 |
| 7 | 37 | 2 | 6, 12, 24 |
| 8 | 32 | 2 | 8, 16, 157 |
| 8 | 34 | 2 | |
| 8 | 35 | 2 | 24 |
| 8 | 36 | 2 | 8 |
| 8 | 37 | 2 | 11, 33, 165 |
| 8 | 39 | 1 | |
| 8 | 40 | 2 | 8, 16, 23, 56, 112 |
| 9 | 39 | 1 | 23 |
| 9 | 41 | 2 | 4 |
| 9 | 42 | 2 | |
| 9 | 43 | 2 | |
| 9 | 45 | 2 | 4, 11, 22, 44, 88, 176 |
| 10 | 48 | 2 | 11 |
| 10 | 49 | 2 | |
| 11 | 55 | 2 | 12 |
| n < 200 where 2 is a common index divisors with dim A = 3 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| a5 | a4 | a3 | p-rank | non-monogenic n | |||||
| -4 | 9 | -15 | 3 | 7, 11, 23, 29, 43, 71, 87, 113, 127 | |||||
| -3 | 2 | 1 | 3 | 7, 11, 29, 43, 71, 87, 113, 127 | |||||
| -3 | 5 | -7 | 3 | ||||||
| -3 | 6 | -9 | 3 | 3, 9, 27, 153 | |||||
| -2 | 0 | 3 | 3 | 107, 149 | |||||
| -2 | 1 | 0 | 2 | 3, 5, 11, 55, 83 | |||||
| -2 | 1 | 1 | 3 | 3 | |||||
| -2 | 2 | -2 | 0 | 3, 9 | |||||
| -2 | 2 | -1 | 3 | 3 | |||||
| -2 | 3 | -6 | 2 | 73 | |||||
| -2 | 3 | -5 | 3 | 3, 9, 27, 59, 63 | |||||
| -2 | 3 | -3 | 3 | 5, 83, 131 | |||||
| -2 | 4 | -6 | 0 | 3 | |||||
| -2 | 5 | -7 | 3 | 3, 7 | |||||
| -1 | -1 | 2 | 2 | 3, 9 | |||||
| -1 | -1 | 4 | 2 | 3, 7 | |||||
| -1 | -1 | 5 | 3 | 3, 9 | |||||
| -1 | 0 | -1 | 3 | 3 | |||||
| -1 | 0 | 0 | 1 | ||||||
| -1 | 0 | 1 | 3 | 5, 15 | |||||
| -1 | 0 | 3 | 3 | 7, 77, 103 | |||||
| -1 | 1 | -3 | 3 | 3 | |||||
| -1 | 1 | -1 | 3 | 3 | |||||
| -1 | 1 | 0 | 2 | 3, 7 | |||||
| -1 | 2 | -5 | 3 | 3, 5 | |||||
| -1 | 2 | -3 | 3 | 3 | |||||
| -1 | 2 | -2 | 1 | 3 | |||||
| -1 | 2 | -1 | 3 | 3, 5, 7, 9, 35, 75 | |||||
| -1 | 3 | -3 | 3 | 5, 25 | |||||
| -1 | 4 | -3 | 3 | 3, 83, 127 | |||||
| 0 | -1 | -2 | 2 | 73 | |||||
| 0 | -1 | -1 | 3 | ||||||
| 0 | -1 | 1 | 3 | ||||||
| 0 | -1 | 2 | 2 | 73 | |||||
| 0 | 0 | -3 | 3 | 3, 7, 9, 13, 15, 21, 27, 29, 31, 35, 39, 45, 63, 65, 87, 91, 93, 105, 117, 123, 141, 151, 195 | |||||
| 0 | 0 | -2 | 0 | 3, 7, 11, 15, 23, 29, 37, 45, 67, 71, 79 | |||||
| 0 | 0 | -1 | 3 | 3, 5, 7, 15, 19, 21, 25, 35, 45, 63, 71, 75, 95, 97, 105, 123, 133 | |||||
| 0 | 0 | 1 | 3 | 3, 5, 7, 15, 19, 21, 25, 35, 45, 47, 49, 63, 75, 95, 97, 105, 123, 133 | |||||
| 0 | 0 | 2 | 0 | 3, 7, 11, 15, 23, 29, 37, 45, 67 | |||||
| 0 | 0 | 3 | 3 | 3, 7, 9, 13, 15, 21, 27, 29, 31, 35, 39, 45, 47, 63, 65, 71, 87, 91, 93, 105, 117, 123, 141, 151, 195 | |||||
| 0 | 1 | -3 | 3 | 3, 9 | |||||
| 0 | 1 | -1 | 3 | ||||||
| 0 | 1 | 1 | 3 | ||||||
| 0 | 1 | 3 | 3 | 3, 9 | |||||
| 0 | 2 | -2 | 0 | ||||||
| 0 | 2 | -1 | 3 | 7 | |||||
| 0 | 2 | 1 | 3 | 7 | |||||
| 0 | 2 | 2 | 0 | ||||||
| 0 | 3 | -1 | 3 | 3, 89, 153 | |||||
| 0 | 3 | 1 | 3 | 3, 7, 89, 153 | |||||
| 1 | -1 | -5 | 3 | 3, 9 | |||||
| 1 | -1 | -4 | 2 | 3, 7, 49 | |||||
| 1 | -1 | -2 | 2 | 3, 9 | |||||
| 1 | 0 | -3 | 3 | 7, 77, 103 | |||||
| 1 | 0 | -1 | 3 | 5, 15 | |||||
| 1 | 0 | 0 | 1 | ||||||
| 1 | 0 | 1 | 3 | 3 | |||||
| 1 | 1 | 0 | 2 | 3, 7 | |||||
| 1 | 1 | 1 | 3 | 3 | |||||
| 1 | 1 | 3 | 3 | 3 | |||||
| 1 | 2 | 1 | 3 | 3, 5, 7, 9, 35, 75 | |||||
| 1 | 2 | 2 | 1 | 3 | |||||
| 1 | 2 | 3 | 3 | 3 | |||||
| 1 | 2 | 5 | 3 | 3, 5 | |||||
| 1 | 3 | 3 | 3 | 5, 25 | |||||
| 1 | 4 | 3 | 3 | 3, 83, 127 | |||||
| 2 | 0 | -3 | 3 | 107, 149 | |||||
| 2 | 1 | -1 | 3 | 3 | |||||
| 2 | 1 | 0 | 2 | 3, 5, 11, 55, 83 | |||||
| 2 | 2 | 1 | 3 | 3 | |||||
| 2 | 2 | 2 | 0 | 3, 9 | |||||
| 2 | 3 | 3 | 3 | 5, 83, 131 | |||||
| 2 | 3 | 5 | 3 | 3, 9, 27, 59, 63 | |||||
| 2 | 3 | 6 | 2 | 73 | |||||
| 2 | 4 | 6 | 0 | 3 | |||||
| 2 | 5 | 7 | 3 | 3, 7 | |||||
| 3 | 2 | -1 | 3 | 7, 11, 23, 29, 43, 71, 87, 113, 127 | |||||
| 3 | 5 | 7 | 3 | 7 | |||||
| 3 | 6 | 9 | 3 | 3, 9, 27, 153 | |||||
| 4 | 9 | 15 | 3 | 7, 11, 29, 43, 71, 87, 113, 127 | |||||
| n < 200 where 3 is a common index divisors with dim A = 3 | ||||
|---|---|---|---|---|
| a5 | a4 | a3 | p-rank | non-monogenic n |
| -5 | 13 | -25 | 3 | 2, 4, 5, 8, 20, 25, 40, 80 |
| -5 | 15 | -31 | 3 | 2, 4, 8, 14, 28, 91, 104, 182 |
| -4 | 6 | -7 | 3 | 2, 4, 5, 8, 40, 80 |
| -4 | 7 | -10 | 3 | 2, 4, 8 |
| -4 | 8 | -13 | 3 | 2, 4, 8 |
| -4 | 9 | -17 | 3 | |
| -4 | 10 | -21 | 2 | 2, 4, 7, 8, 56, 79, 112 |
| -4 | 10 | -20 | 3 | 2, 4, 8, 16, 32 |
| -4 | 10 | -19 | 3 | 2, 4, 8 |
| -4 | 11 | -22 | 3 | 2, 4, 5, 8, 10, 13, 20 |
| -4 | 12 | -23 | 3 | 2, 4, 8, 13 |
| -3 | 0 | 8 | 3 | 2, 4, 8 |
| -3 | 1 | 5 | 3 | 2, 4, 8, 77 |
| -3 | 2 | 1 | 3 | 2, 4, 5 |
| -3 | 2 | 2 | 3 | 2, 4, 8, 16 |
| -3 | 3 | -1 | 3 | 2, 4, 8, 17 |
| -3 | 4 | -6 | 2 | 2, 4, 8, 16 |
| -3 | 4 | -5 | 3 | 2, 4, 79 |
| -3 | 5 | -9 | 2 | 2, 4, 8, 16, 32 |
| -3 | 5 | -8 | 3 | 2, 4 |
| -3 | 5 | -7 | 3 | 2, 4, 8 |
| -3 | 5 | -5 | 3 | 2, 4, 8, 16, 32, 83, 104 |
| -3 | 6 | -12 | 0 | 2, 4, 8 |
| -3 | 6 | -11 | 3 | 2, 4, 22 |
| -3 | 6 | -10 | 3 | 2, 4, 8, 16, 83 |
| -3 | 7 | -15 | 2 | 2, 4, 8, 17 |
| -3 | 7 | -13 | 3 | 2, 4, 8 |
| -3 | 7 | -11 | 3 | 2, 4, 5, 8, 25 |
| -3 | 8 | -17 | 3 | 2, 4, 5, 10, 20, 40 |
| -3 | 8 | -16 | 3 | 2, 4, 8, 28 |
| -3 | 8 | -14 | 3 | 2, 4, 8, 13, 16, 53 |
| -3 | 8 | -13 | 3 | 2, 4, 136 |
| -3 | 9 | -17 | 3 | 2, 4, 8, 16, 32 |
| -3 | 9 | -15 | 0 | 2, 4, 8 |
| -2 | -2 | 9 | 2 | 2, 4, 7, 8, 56, 79, 112 |
| -2 | -2 | 11 | 3 | 2, 4, 8, 47, 179 |
| -2 | -1 | 6 | 2 | 2, 4, 8 |
| -2 | -1 | 7 | 3 | |
| -2 | 0 | 2 | 3 | 2, 4, 8, 16 |
| -2 | 0 | 3 | 1 | 2, 4, 8 |
| -2 | 0 | 4 | 3 | 2, 4, 8, 16, 53 |
| -2 | 0 | 5 | 3 | 2, 4, 8, 13 |
| -2 | 0 | 7 | 3 | 2, 4, 8, 61 |
| -2 | 1 | -1 | 3 | 5, 11, 22, 44, 88 |
| -2 | 1 | 0 | 2 | 2, 4, 8, 61 |
| -2 | 1 | 1 | 3 | |
| -2 | 1 | 2 | 3 | 2, 4, 8, 14, 28 |
| -2 | 2 | -5 | 3 | 2, 4, 8, 76, 152 |
| -2 | 2 | -3 | 2 | 2, 4, 8 |
| -2 | 2 | -2 | 3 | 2, 4, 8, 16 |
| -2 | 2 | -1 | 3 | 2, 4, 5, 8 |
| -2 | 2 | 1 | 3 | 2, 4, 5, 8, 10, 20, 25, 40, 55, 80 |
| -2 | 3 | -7 | 3 | |
| -2 | 3 | -6 | 1 | 2, 4, 8, 14, 28 |
| -2 | 3 | -4 | 3 | 2, 4, 8, 16, 32 |
| -2 | 3 | -2 | 3 | 2, 4, 8 |
| -2 | 3 | -1 | 3 | 61, 122 |
| -2 | 4 | -11 | 3 | 2, 4, 8 |
| -2 | 4 | -10 | 3 | 2, 4, 7, 8, 14, 16, 28, 56, 112 |
| -2 | 4 | -9 | 2 | 2, 4, 8 |
| -2 | 4 | -8 | 3 | 2, 4, 8, 16 |
| -2 | 4 | -7 | 3 | 2, 4, 8 |
| -2 | 4 | -5 | 3 | 2, 4, 8 |
| -2 | 4 | -4 | 3 | 2, 4, 8, 16 |
| -2 | 4 | -3 | 2 | 2, 4, 7, 8, 56, 79, 112 |
| -2 | 5 | -11 | 3 | |
| -2 | 5 | -10 | 3 | 2, 4, 8 |
| -2 | 5 | -8 | 3 | 2, 4, 8 |
| -2 | 5 | -6 | 2 | 2, 4, 8 |
| -2 | 5 | -5 | 3 | 7 |
| -2 | 6 | -11 | 3 | 2, 4, 5, 8, 40, 80 |
| -2 | 6 | -10 | 3 | 2, 4, 8, 16 |
| -2 | 6 | -9 | 1 | 2, 4, 8 |
| -2 | 6 | -7 | 3 | 2, 4, 5, 8, 13, 40, 80 |
| -2 | 7 | -10 | 3 | 2, 4, 8 |
| -2 | 8 | -11 | 3 | 2, 4, 8, 29 |
| -1 | -2 | 3 | 2 | 2, 4, 61, 122 |
| -1 | -2 | 4 | 3 | 2, 4, 8 |
| -1 | -2 | 6 | 2 | 2, 4, 8, 16 |
| -1 | -2 | 7 | 3 | 2, 4, 59 |
| -1 | -2 | 8 | 3 | 2, 4, 8, 28 |
| -1 | -1 | 1 | 3 | 2, 4, 8 |
| -1 | -1 | 2 | 3 | 2, 4 |
| -1 | -1 | 3 | 2 | 2, 4, 8 |
| -1 | -1 | 5 | 3 | 2, 4, 5, 8 |
| -1 | -1 | 7 | 3 | 2, 4, 8, 20, 40, 80 |
| -1 | -1 | 8 | 3 | 2, 4, 8, 16 |
| -1 | -1 | 9 | 2 | 2, 4, 8 |
| -1 | 0 | -4 | 3 | 2, 4, 8 |
| -1 | 0 | -3 | 1 | 2, 4, 79 |
| -1 | 0 | -2 | 3 | 2, 4, 5, 8, 16 |
| -1 | 0 | -1 | 3 | 2, 4, 53 |
| -1 | 0 | 0 | 1 | 2, 4, 8 |
| -1 | 0 | 1 | 3 | 2, 4, 14, 28, 56 |
| -1 | 0 | 2 | 3 | 2, 4, 8, 16 |
| -1 | 0 | 4 | 3 | 2, 4, 8 |
| -1 | 0 | 5 | 3 | 2, 4, 22 |
| -1 | 0 | 6 | 1 | 2, 4, 8, 16 |
| -1 | 0 | 7 | 3 | 2, 4 |
| -1 | 1 | -7 | 3 | 2, 4, 8, 16, 32 |
| -1 | 1 | -5 | 3 | 2, 4, 8 |
| -1 | 1 | -4 | 3 | 2, 4 |
| -1 | 1 | -3 | 2 | 2, 4, 5, 8, 16, 32 |
| -1 | 1 | -2 | 3 | 2, 4, 11, 83 |
| -1 | 1 | -1 | 3 | 2, 4, 5, 8 |
| -1 | 1 | 1 | 3 | 2, 4, 8, 16, 32, 104 |
| -1 | 1 | 3 | 2 | 2, 4, 8, 13, 26, 52, 104 |
| -1 | 1 | 4 | 3 | 2, 4, 5, 10, 20, 40, 71, 79 |
| -1 | 1 | 5 | 3 | 2, 4, 8, 16, 32 |
| -1 | 2 | -10 | 3 | 2, 4, 8, 16 |
| -1 | 2 | -9 | 2 | 2, 4 |
| -1 | 2 | -7 | 3 | 2, 4, 8, 16 |
| -1 | 2 | -5 | 3 | 2, 4 |
| -1 | 2 | -4 | 3 | 2, 4, 8, 10, 20, 40, 80 |
| -1 | 2 | -2 | 3 | 2, 4, 8, 16, 71, 142 |
| -1 | 2 | -1 | 3 | 2, 4, 5, 10, 20, 40 |
| -1 | 2 | 0 | 2 | 2, 4, 8 |
| -1 | 2 | 2 | 3 | 2, 4, 8, 13, 16 |
| -1 | 2 | 3 | 2 | 2, 4, 14, 28, 56 |
| -1 | 3 | -9 | 1 | 2, 4, 8 |
| -1 | 3 | -8 | 3 | 2, 4, 8, 16, 32 |
| -1 | 3 | -7 | 3 | 2, 4, 8, 23 |
| -1 | 3 | -5 | 3 | 2, 4, 5, 8 |
| -1 | 3 | -4 | 3 | 2, 4, 8, 16 |
| -1 | 3 | -3 | 1 | 2, 4, 8 |
| -1 | 3 | -2 | 3 | 2, 4 |
| -1 | 3 | -1 | 3 | 2, 4, 8 |
| -1 | 3 | 1 | 3 | 2, 4, 8 |
| -1 | 4 | -8 | 3 | 2, 4, 8, 13 |
| -1 | 4 | -7 | 3 | 2, 4, 22 |
| -1 | 4 | -5 | 3 | 2, 4, 5, 10, 20, 40 |
| -1 | 4 | -3 | 2 | 2, 4, 61, 122 |
| -1 | 4 | -2 | 3 | 2, 4, 8, 16, 61, 122 |
| -1 | 5 | -7 | 3 | 2, 4, 5, 8, 16, 32, 53 |
| -1 | 5 | -5 | 3 | 2, 4, 8 |
| -1 | 5 | -4 | 3 | 2, 4, 181 |
| -1 | 5 | -3 | 2 | 2, 4, 8, 16, 32, 61 |
| -1 | 6 | -5 | 3 | 2, 4, 136 |
| -1 | 7 | -5 | 3 | 2, 4, 8 |
| 0 | -2 | -3 | 2 | 2, 4, 8 |
| 0 | -2 | -2 | 3 | 2, 4, 8, 16 |
| 0 | -2 | -1 | 3 | 2, 4, 8 |
| 0 | -2 | 1 | 3 | 2, 4, 8 |
| 0 | -2 | 2 | 3 | 2, 4, 8, 16 |
| 0 | -2 | 3 | 2 | 2, 4, 8 |
| 0 | -1 | -6 | 2 | 2, 4, 8 |
| 0 | -1 | -5 | 3 | |
| 0 | -1 | -4 | 3 | 2, 4, 8, 16, 32 |
| 0 | -1 | -2 | 3 | 2, 4, 8 |
| 0 | -1 | -1 | 3 | |
| 0 | -1 | 1 | 3 | |
| 0 | -1 | 2 | 3 | 2, 4, 8 |
| 0 | -1 | 4 | 3 | 2, 4, 8, 16, 32 |
| 0 | -1 | 5 | 3 | |
| 0 | -1 | 6 | 2 | 2, 4, 8 |
| 0 | 0 | -9 | 0 | 2, 4, 7, 8, 13, 14, 19, 26, 28, 37, 38, 40, 52, 56, 65, 70, 73, 74, 76, 80, 91, 95, 104, 112, 122, 124, 130, 133, 140, 146, 148, 152, 182, 185, 190 |
| 0 | 0 | -7 | 3 | 2, 4, 5, 7, 8, 10, 11, 13, 14, 17, 19, 20, 22, 25, 26, 28, 35, 38, 40, 49, 56, 70, 76, 80, 85, 91, 112, 119, 133, 140, 145, 154, 175 |
| 0 | 0 | -6 | 0 | 2, 4, 8, 11, 13, 14, 16, 17, 19, 22, 26, 28, 34, 38, 40, 43, 44, 56, 68, 86, 112, 119, 136, 172 |
| 0 | 0 | -5 | 3 | 2, 4, 5, 7, 8, 11, 13, 14, 17, 23, 28, 37, 40, 56, 61, 70, 74, 80, 85, 112, 124, 140, 148, 154 |
| 0 | 0 | -4 | 3 | 2, 4, 8, 13, 14, 16, 26, 28, 32, 40, 52, 56, 65, 76, 80, 95, 104, 112, 116, 124, 130, 152, 190 |
| 0 | 0 | -3 | 0 | 2, 4, 5, 8, 10, 13, 20, 25, 31, 35, 40, 47, 67, 80, 124, 155 |
| 0 | 0 | -2 | 3 | 2, 4, 5, 7, 8, 10, 13, 14, 16, 17, 20, 25, 28, 34, 35, 40, 47, 50, 56, 68, 70, 80, 85, 100, 109, 136, 140, 160, 170 |
| 0 | 0 | -1 | 3 | 2, 4, 8, 11, 13, 19, 22, 26, 38, 40, 52, 65, 76, 79, 80, 104, 122, 130, 143, 193 |
| 0 | 0 | 1 | 3 | 2, 4, 8, 11, 13, 19, 23, 26, 38, 40, 47, 52, 65, 76, 79, 80, 104, 122, 130, 143, 193 |
| 0 | 0 | 2 | 3 | 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 25, 28, 34, 35, 40, 50, 56, 68, 70, 80, 85, 100, 109, 136, 140, 160, 170 |
| 0 | 0 | 3 | 0 | 2, 4, 5, 8, 10, 13, 20, 23, 25, 26, 31, 35, 40, 67, 80, 124, 155 |
| 0 | 0 | 4 | 3 | 2, 4, 8, 11, 13, 14, 16, 26, 28, 32, 40, 47, 52, 56, 65, 76, 80, 95, 104, 112, 116, 124, 130, 152, 190 |
| 0 | 0 | 5 | 3 | 2, 4, 5, 7, 8, 11, 13, 14, 17, 22, 26, 28, 37, 40, 56, 61, 70, 74, 80, 85, 109, 112, 124, 140, 148, 154 |
| 0 | 0 | 6 | 0 | 2, 4, 8, 11, 13, 14, 16, 17, 19, 22, 26, 28, 34, 38, 40, 43, 44, 56, 68, 86, 112, 119, 136, 172 |
| 0 | 0 | 7 | 3 | 2, 4, 5, 7, 8, 10, 13, 14, 17, 19, 20, 25, 28, 35, 38, 40, 49, 56, 70, 76, 80, 85, 91, 112, 119, 133, 140, 145, 154, 175 |
| 0 | 0 | 9 | 0 | 2, 4, 7, 8, 13, 14, 19, 26, 28, 37, 38, 40, 52, 56, 65, 70, 73, 74, 76, 80, 91, 95, 104, 112, 122, 124, 130, 133, 140, 146, 148, 152, 182, 185, 190 |
| 0 | 1 | -6 | 2 | 2, 4, 8, 14, 28, 79 |
| 0 | 1 | -5 | 3 | 5 |
| 0 | 1 | -4 | 3 | 2, 4, 8 |
| 0 | 1 | -2 | 3 | 2, 4, 8 |
| 0 | 1 | -1 | 3 | |
| 0 | 1 | 1 | 3 | |
| 0 | 1 | 2 | 3 | 2, 4, 8 |
| 0 | 1 | 4 | 3 | 2, 4, 8 |
| 0 | 1 | 5 | 3 | 5 |
| 0 | 1 | 6 | 2 | 2, 4, 8, 14, 28, 79 |
| 0 | 2 | -7 | 3 | 2, 4, 8, 41, 91 |
| 0 | 2 | -5 | 3 | 2, 4, 8 |
| 0 | 2 | -4 | 3 | 2, 4, 8, 16, 32, 179 |
| 0 | 2 | -3 | 2 | 2, 4, 8 |
| 0 | 2 | -2 | 3 | 2, 4, 8, 16 |
| 0 | 2 | -1 | 3 | 2, 4, 8 |
| 0 | 2 | 1 | 3 | 2, 4, 8 |
| 0 | 2 | 2 | 3 | 2, 4, 8, 16 |
| 0 | 2 | 3 | 2 | 2, 4, 8 |
| 0 | 2 | 4 | 3 | 2, 4, 8, 16, 32 |
| 0 | 2 | 5 | 3 | 2, 4, 8 |
| 0 | 2 | 7 | 3 | 2, 4, 8, 41, 91 |
| 0 | 3 | -3 | 0 | 83 |
| 0 | 3 | -2 | 3 | 2, 4, 8 |
| 0 | 3 | -1 | 3 | 13, 26, 52, 104 |
| 0 | 3 | 1 | 3 | 13, 26, 52, 104 |
| 0 | 3 | 2 | 3 | 2, 4, 8 |
| 0 | 3 | 3 | 0 | 83 |
| 0 | 4 | -3 | 2 | 2, 4, 8 |
| 0 | 4 | -1 | 3 | 2, 4, 8 |
| 0 | 4 | 1 | 3 | 2, 4, 8 |
| 0 | 4 | 3 | 2 | 2, 4, 8 |
| 0 | 5 | -2 | 3 | 2, 4, 5, 8, 10, 20, 25 |
| 0 | 5 | -1 | 3 | |
| 0 | 5 | 1 | 3 | |
| 0 | 5 | 2 | 3 | 2, 4, 5, 8, 10, 20, 25 |
| 0 | 6 | -1 | 3 | 2, 4, 8, 53 |
| 0 | 6 | 1 | 3 | 2, 4, 8, 53 |
| 1 | -2 | -8 | 3 | 2, 4, 8, 28 |
| 1 | -2 | -7 | 3 | 2, 4, 59 |
| 1 | -2 | -6 | 2 | 2, 4, 8, 16 |
| 1 | -2 | -4 | 3 | 2, 4, 8, 13 |
| 1 | -2 | -3 | 2 | 2, 4, 61, 122 |
| 1 | -1 | -9 | 2 | 2, 4, 8 |
| 1 | -1 | -8 | 3 | 2, 4, 8, 16 |
| 1 | -1 | -7 | 3 | 2, 4, 8, 20, 40, 80 |
| 1 | -1 | -5 | 3 | 2, 4, 5, 8 |
| 1 | -1 | -3 | 2 | 2, 4, 8 |
| 1 | -1 | -2 | 3 | 2, 4 |
| 1 | -1 | -1 | 3 | 2, 4, 8 |
| 1 | 0 | -7 | 3 | 2, 4 |
| 1 | 0 | -6 | 1 | 2, 4, 8, 16 |
| 1 | 0 | -5 | 3 | 2, 4, 22 |
| 1 | 0 | -4 | 3 | 2, 4, 8 |
| 1 | 0 | -2 | 3 | 2, 4, 8, 16 |
| 1 | 0 | -1 | 3 | 2, 4, 14, 28, 56 |
| 1 | 0 | 0 | 1 | 2, 4, 8 |
| 1 | 0 | 1 | 3 | 2, 4, 53 |
| 1 | 0 | 2 | 3 | 2, 4, 5, 8, 16 |
| 1 | 0 | 3 | 1 | 2, 4, 79 |
| 1 | 0 | 4 | 3 | 2, 4, 8 |
| 1 | 1 | -5 | 3 | 2, 4, 8, 16, 32 |
| 1 | 1 | -4 | 3 | 2, 4, 5, 10, 20, 40, 71, 79 |
| 1 | 1 | -3 | 2 | 2, 4, 8, 13, 26, 52, 104 |
| 1 | 1 | -1 | 3 | 2, 4, 8, 16, 32, 104 |
| 1 | 1 | 1 | 3 | 2, 4, 5, 8 |
| 1 | 1 | 2 | 3 | 2, 4, 11, 83 |
| 1 | 1 | 3 | 2 | 2, 4, 5, 8, 16, 32 |
| 1 | 1 | 4 | 3 | 2, 4 |
| 1 | 1 | 5 | 3 | 2, 4, 8 |
| 1 | 1 | 7 | 3 | 2, 4, 8, 16, 32 |
| 1 | 2 | -3 | 2 | 2, 4, 14, 28, 56 |
| 1 | 2 | -2 | 3 | 2, 4, 8, 13, 16 |
| 1 | 2 | 0 | 2 | 2, 4, 8 |
| 1 | 2 | 1 | 3 | 2, 4, 5, 10, 20, 40 |
| 1 | 2 | 2 | 3 | 2, 4, 8, 16, 71, 142 |
| 1 | 2 | 4 | 3 | 2, 4, 8, 10, 20, 40, 80 |
| 1 | 2 | 5 | 3 | 2, 4 |
| 1 | 2 | 7 | 3 | 2, 4, 8, 16 |
| 1 | 2 | 9 | 2 | 2, 4 |
| 1 | 2 | 10 | 3 | 2, 4, 8, 16 |
| 1 | 3 | -1 | 3 | 2, 4, 8 |
| 1 | 3 | 1 | 3 | 2, 4, 8 |
| 1 | 3 | 2 | 3 | 2, 4 |
| 1 | 3 | 3 | 1 | 2, 4, 8 |
| 1 | 3 | 4 | 3 | 2, 4, 8, 16 |
| 1 | 3 | 5 | 3 | 2, 4, 5, 8 |
| 1 | 3 | 7 | 3 | 2, 4, 8, 23 |
| 1 | 3 | 8 | 3 | 2, 4, 8, 16, 32 |
| 1 | 3 | 9 | 1 | 2, 4, 8 |
| 1 | 4 | 2 | 3 | 2, 4, 8, 16, 61, 107, 122 |
| 1 | 4 | 3 | 2 | 2, 4, 61, 122 |
| 1 | 4 | 5 | 3 | 2, 4, 5, 10, 20, 40 |
| 1 | 4 | 7 | 3 | 2, 4, 22 |
| 1 | 4 | 8 | 3 | 2, 4, 8 |
| 1 | 5 | 3 | 2 | 2, 4, 8, 16, 32, 61 |
| 1 | 5 | 4 | 3 | 2, 4, 181 |
| 1 | 5 | 5 | 3 | 2, 4, 8 |
| 1 | 5 | 7 | 3 | 2, 4, 5, 8, 13, 16, 32, 53 |
| 1 | 6 | 5 | 3 | 2, 4, 136 |
| 1 | 7 | 5 | 3 | 2, 4, 8 |
| 2 | -2 | -11 | 3 | 2, 4, 8, 47 |
| 2 | -2 | -9 | 2 | 2, 4, 7, 8, 56, 79, 112 |
| 2 | -1 | -7 | 3 | |
| 2 | -1 | -6 | 2 | 2, 4, 8 |
| 2 | 0 | -7 | 3 | 2, 4, 8, 61 |
| 2 | 0 | -5 | 3 | 2, 4, 8 |
| 2 | 0 | -4 | 3 | 2, 4, 8, 16, 53 |
| 2 | 0 | -3 | 1 | 2, 4, 8 |
| 2 | 0 | -2 | 3 | 2, 4, 8, 16 |
| 2 | 1 | -2 | 3 | 2, 4, 8, 14, 28 |
| 2 | 1 | -1 | 3 | |
| 2 | 1 | 0 | 2 | 2, 4, 8, 61 |
| 2 | 1 | 1 | 3 | 5, 11, 22, 44, 88 |
| 2 | 2 | -1 | 3 | 2, 4, 5, 8, 10, 20, 25, 40, 55, 80 |
| 2 | 2 | 1 | 3 | 2, 4, 5, 8 |
| 2 | 2 | 2 | 3 | 2, 4, 8, 16 |
| 2 | 2 | 3 | 2 | 2, 4, 8 |
| 2 | 2 | 5 | 3 | 2, 4, 8, 76, 152 |
| 2 | 3 | 1 | 3 | 61, 122 |
| 2 | 3 | 2 | 3 | 2, 4, 8 |
| 2 | 3 | 4 | 3 | 2, 4, 8, 16, 32 |
| 2 | 3 | 6 | 1 | 2, 4, 8, 14, 28 |
| 2 | 3 | 7 | 3 | |
| 2 | 4 | 3 | 2 | 2, 4, 7, 8, 56, 79, 112 |
| 2 | 4 | 4 | 3 | 2, 4, 8, 16 |
| 2 | 4 | 5 | 3 | 2, 4, 8 |
| 2 | 4 | 7 | 3 | 2, 4, 8 |
| 2 | 4 | 8 | 3 | 2, 4, 8, 16 |
| 2 | 4 | 9 | 2 | 2, 4, 8 |
| 2 | 4 | 10 | 3 | 2, 4, 7, 8, 14, 16, 28, 56, 112 |
| 2 | 4 | 11 | 3 | 2, 4, 8 |
| 2 | 5 | 5 | 3 | 7 |
| 2 | 5 | 6 | 2 | 2, 4, 8 |
| 2 | 5 | 8 | 3 | 2, 4, 8 |
| 2 | 5 | 10 | 3 | 2, 4, 8 |
| 2 | 5 | 11 | 3 | |
| 2 | 6 | 7 | 3 | 2, 4, 5, 8, 40, 80 |
| 2 | 6 | 9 | 1 | 2, 4, 8 |
| 2 | 6 | 10 | 3 | 2, 4, 8, 16 |
| 2 | 6 | 11 | 3 | 2, 4, 5, 8, 40, 80 |
| 2 | 7 | 10 | 3 | 2, 4, 8 |
| 2 | 8 | 11 | 3 | 2, 4, 8, 29 |
| 3 | 0 | -8 | 3 | 2, 4, 8 |
| 3 | 1 | -5 | 3 | 2, 4, 8, 77 |
| 3 | 2 | -2 | 3 | 2, 4, 8, 16 |
| 3 | 2 | -1 | 3 | 2, 4, 5 |
| 3 | 3 | 1 | 3 | 2, 4, 8, 17 |
| 3 | 4 | 5 | 3 | 2, 4, 79 |
| 3 | 4 | 6 | 2 | 2, 4, 8, 16 |
| 3 | 5 | 5 | 3 | 2, 4, 8, 16, 32, 83, 104 |
| 3 | 5 | 7 | 3 | 2, 4, 8 |
| 3 | 5 | 8 | 3 | 2, 4 |
| 3 | 5 | 9 | 2 | 2, 4, 8, 16, 32 |
| 3 | 6 | 10 | 3 | 2, 4, 8, 16, 83 |
| 3 | 6 | 11 | 3 | 2, 4, 22 |
| 3 | 6 | 12 | 0 | 2, 4, 8 |
| 3 | 7 | 11 | 3 | 2, 4, 5, 8, 25 |
| 3 | 7 | 13 | 3 | 2, 4, 8 |
| 3 | 7 | 15 | 2 | 2, 4, 8, 17 |
| 3 | 8 | 13 | 3 | 2, 4, 136 |
| 3 | 8 | 14 | 3 | 2, 4, 8, 13, 16, 53 |
| 3 | 8 | 16 | 3 | 2, 4, 8, 28 |
| 3 | 8 | 17 | 3 | 2, 4, 5, 10, 20, 40 |
| 3 | 9 | 15 | 0 | 2, 4, 8 |
| 3 | 9 | 17 | 3 | 2, 4, 8, 16, 32 |
| 4 | 6 | 7 | 3 | 2, 4, 5, 8, 40, 80 |
| 4 | 7 | 10 | 3 | 2, 4, 8 |
| 4 | 8 | 13 | 3 | 2, 4, 8, 191 |
| 4 | 9 | 17 | 3 | |
| 4 | 10 | 19 | 3 | 2, 4, 8 |
| 4 | 10 | 20 | 3 | 2, 4, 8, 16, 32 |
| 4 | 10 | 21 | 2 | 2, 4, 7, 8, 56, 79, 112 |
| 4 | 11 | 22 | 3 | 2, 4, 5, 8, 10, 13, 20 |
| 4 | 12 | 23 | 3 | 2, 4, 8, 13 |
| 5 | 13 | 25 | 3 | 2, 4, 5, 8, 20, 25, 40, 80 |
| 5 | 15 | 31 | 3 | 2, 4, 8, 14, 28, 91, 104, 182 |
| n < 200 where 5 is a common index divisors with dim A = 3 and a5 = 0 | ||||
|---|---|---|---|---|
| a5 | a4 | a3 | p-rank | non-monogenic n |
| 0 | -4 | -4 | 3 | 2, 4, 8, 16 |
| 0 | -4 | -3 | 3 | 3, 4, 8, 9, 16 |
| 0 | -4 | -2 | 3 | 2, 4, 8 |
| 0 | -4 | -1 | 3 | 4, 8, 16 |
| 0 | -4 | 1 | 3 | 4, 8, 16 |
| 0 | -4 | 2 | 3 | 2, 4, 8 |
| 0 | -4 | 3 | 3 | 3, 4, 8, 9, 16 |
| 0 | -4 | 4 | 3 | 2, 4, 8, 16 |
| 0 | -3 | -7 | 3 | |
| 0 | -3 | -6 | 3 | 2, 3, 4, 9, 42, 84 |
| 0 | -3 | -5 | 2 | |
| 0 | -3 | -4 | 3 | 2, 4, 8, 12, 16 |
| 0 | -3 | -3 | 3 | 3, 9, 12, 24 |
| 0 | -3 | -2 | 3 | 2, 4 |
| 0 | -3 | -1 | 3 | |
| 0 | -3 | 1 | 3 | |
| 0 | -3 | 2 | 3 | 2, 4 |
| 0 | -3 | 3 | 3 | 3, 9, 12, 24 |
| 0 | -3 | 4 | 3 | 2, 4, 8, 12, 16 |
| 0 | -3 | 5 | 2 | |
| 0 | -3 | 6 | 3 | 2, 3, 4, 9, 42, 84 |
| 0 | -3 | 7 | 3 | |
| 0 | -2 | -13 | 3 | 4, 13 |
| 0 | -2 | -12 | 3 | 2, 3, 4, 6, 8, 12, 16, 18, 24, 36, 48, 72, 96 |
| 0 | -2 | -11 | 3 | 4, 11, 33 |
| 0 | -2 | -10 | 2 | 2, 4, 8 |
| 0 | -2 | -9 | 3 | 3, 4, 18, 24, 36, 72 |
| 0 | -2 | -8 | 3 | 2, 4, 8, 16, 53 |
| 0 | -2 | -7 | 3 | 4, 7 |
| 0 | -2 | -6 | 3 | 2, 3, 4, 6, 8, 12, 18, 24, 36, 48 |
| 0 | -2 | -5 | 2 | 4 |
| 0 | -2 | -3 | 3 | 3, 4, 18, 24, 36, 72 |
| 0 | -2 | -2 | 3 | 2, 4, 8 |
| 0 | -2 | -1 | 3 | 4 |
| 0 | -2 | 1 | 3 | 4 |
| 0 | -2 | 2 | 3 | 2, 4, 8 |
| 0 | -2 | 3 | 3 | 3, 4, 18, 24, 36, 72 |
| 0 | -2 | 5 | 2 | 4 |
| 0 | -2 | 6 | 3 | 2, 3, 4, 6, 8, 12, 18, 24, 36, 48 |
| 0 | -2 | 7 | 3 | 4, 7 |
| 0 | -2 | 8 | 3 | 2, 4, 8, 16, 53 |
| 0 | -2 | 9 | 3 | 3, 4, 18, 24, 36, 72 |
| 0 | -2 | 10 | 2 | 2, 4, 8 |
| 0 | -2 | 11 | 3 | 4, 11, 33 |
| 0 | -2 | 12 | 3 | 2, 3, 4, 6, 8, 12, 16, 18, 24, 36, 48, 72, 96 |
| 0 | -2 | 13 | 3 | 4, 13 |
| 0 | -1 | -17 | 3 | 17 |
| 0 | -1 | -16 | 3 | 2, 4 |
| 0 | -1 | -14 | 3 | 2, 4 |
| 0 | -1 | -13 | 3 | 13 |
| 0 | -1 | -12 | 3 | 2, 3, 4, 6, 9, 12, 18, 24 |
| 0 | -1 | -11 | 3 | 88 |
| 0 | -1 | -10 | 2 | 2, 4 |
| 0 | -1 | -9 | 3 | 3, 9 |
| 0 | -1 | -8 | 3 | 2, 4 |
| 0 | -1 | -7 | 3 | |
| 0 | -1 | -6 | 3 | 2, 3, 4, 6, 9, 12, 18, 24, 78 |
| 0 | -1 | -5 | 2 | |
| 0 | -1 | -4 | 3 | 2, 4, 22 |
| 0 | -1 | -3 | 3 | 3, 9 |
| 0 | -1 | -2 | 3 | 2, 4 |
| 0 | -1 | -1 | 3 | |
| 0 | -1 | 1 | 3 | |
| 0 | -1 | 2 | 3 | 2, 4 |
| 0 | -1 | 3 | 3 | 3, 9 |
| 0 | -1 | 4 | 3 | 2, 4, 22 |
| 0 | -1 | 5 | 2 | |
| 0 | -1 | 6 | 3 | 2, 3, 4, 6, 9, 12, 18, 24, 78 |
| 0 | -1 | 7 | 3 | |
| 0 | -1 | 8 | 3 | 2, 4 |
| 0 | -1 | 9 | 3 | 3, 9 |
| 0 | -1 | 10 | 2 | 2, 4 |
| 0 | -1 | 11 | 3 | 88 |
| 0 | -1 | 12 | 3 | 2, 3, 4, 6, 9, 12, 18, 24 |
| 0 | -1 | 13 | 3 | 13 |
| 0 | -1 | 14 | 3 | 2, 4 |
| 0 | -1 | 16 | 3 | 2, 4 |
| 0 | -1 | 17 | 3 | 17 |
| 0 | 0 | -21 | 3 | 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 19, 21, 24, 28, 36, 38, 42, 48, 49, 51, 56, 57, 63, 72, 76, 84, 108, 112, 114, 119, 126, 133, 144, 147, 152, 168, 171, 189 |
| 0 | 0 | -20 | 0 | 2, 4, 8, 12, 16, 24, 26, 42, 48, 51, 52, 56, 68, 84, 96, 102, 104, 109, 112, 119, 136, 168 |
| 0 | 0 | -19 | 3 | 4, 7, 8, 11, 14, 16, 19, 26, 28, 29, 31, 37, 38, 44, 52, 56, 74, 76, 91, 104, 112, 133, 148, 152, 163, 182 |
| 0 | 0 | -17 | 3 | 4, 8, 11, 13, 16, 26, 39, 52, 76, 91, 93, 104, 109, 143, 152 |
| 0 | 0 | -16 | 3 | 2, 4, 7, 8, 11, 12, 14, 16, 22, 24, 26, 28, 31, 48, 52, 56, 71, 88, 91, 96, 104, 142, 164, 182 |
| 0 | 0 | -15 | 0 | 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 108, 111, 144, 148 |
| 0 | 0 | -13 | 3 | 4, 8, 9, 13, 16, 31, 39, 51, 63, 76, 91, 117, 119, 152, 153 |
| 0 | 0 | -12 | 3 | 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 19, 21, 24, 28, 31, 36, 38, 42, 48, 51, 56, 57, 62, 63, 68, 72, 76, 84, 93, 96, 102, 114, 124, 126, 133, 136, 138, 152, 168, 171, 186, 189 |
| 0 | 0 | -11 | 3 | 4, 8, 16, 19, 38, 61, 76, 152 |
| 0 | 0 | -10 | 0 | 2, 4, 8, 12, 24, 26, 29, 42, 48, 51, 52, 56, 58, 68, 84, 102, 112, 119, 136, 168 |
| 0 | 0 | -9 | 3 | 3, 4, 6, 7, 8, 9, 12, 13, 14, 16, 18, 21, 24, 26, 27, 28, 36, 38, 39, 42, 48, 52, 54, 56, 63, 72, 78, 81, 84, 91, 104, 108, 112, 117, 123, 126, 144, 156, 162, 168, 182, 189 |
| 0 | 0 | -8 | 3 | 2, 4, 8, 11, 12, 16, 22, 24, 31, 42, 48, 56, 62, 84, 88, 93, 96, 112, 124, 134, 168, 186 |
| 0 | 0 | -7 | 3 | 4, 7, 8, 14, 16, 19, 21, 26, 28, 29, 31, 38, 49, 51, 52, 56, 62, 76, 91, 104, 112, 119, 124, 133, 152, 161, 163, 182 |
| 0 | 0 | -6 | 3 | 2, 3, 4, 6, 8, 9, 11, 12, 18, 19, 22, 24, 26, 31, 33, 36, 39, 42, 48, 52, 56, 57, 66, 78, 84, 112, 114, 117, 132, 156, 168, 171 |
| 0 | 0 | -5 | 0 | 4, 7, 8, 9, 11, 14, 16, 28, 43, 51, 56, 93, 112, 153 |
| 0 | 0 | -3 | 3 | 3, 4, 6, 8, 9, 11, 12, 16, 18, 24, 26, 31, 33, 36, 38, 39, 43, 48, 51, 52, 62, 72, 76, 78, 79, 104, 108, 117, 119, 123, 124, 129, 144, 156, 181 |
| 0 | 0 | -2 | 3 | 2, 4, 7, 8, 12, 14, 19, 24, 28, 48, 133, 164 |
| 0 | 0 | -1 | 3 | 4, 8, 16, 29, 31, 62, 124, 127 |
| 0 | 0 | 1 | 3 | 4, 8, 16, 29, 31, 62, 124, 127 |
| 0 | 0 | 2 | 3 | 2, 4, 7, 8, 12, 14, 24, 28, 48, 133, 164 |
| 0 | 0 | 3 | 3 | 3, 4, 6, 8, 9, 11, 12, 16, 18, 24, 26, 33, 36, 39, 43, 48, 51, 52, 72, 78, 104, 108, 117, 119, 123, 129, 144, 156, 181 |
| 0 | 0 | 5 | 0 | 4, 7, 8, 9, 11, 14, 16, 28, 43, 51, 56, 93, 112, 153, 191 |
| 0 | 0 | 6 | 3 | 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 26, 33, 36, 39, 42, 48, 52, 56, 57, 66, 78, 79, 84, 112, 114, 117, 132, 156, 168, 171 |
| 0 | 0 | 7 | 3 | 4, 7, 8, 14, 16, 19, 21, 26, 28, 29, 38, 49, 51, 52, 56, 76, 91, 104, 112, 119, 133, 152, 161, 163, 182 |
| 0 | 0 | 8 | 3 | 2, 4, 8, 11, 12, 16, 19, 22, 24, 31, 42, 48, 56, 62, 84, 88, 93, 96, 112, 124, 134, 168, 186 |
| 0 | 0 | 9 | 3 | 3, 4, 6, 7, 8, 9, 12, 13, 14, 16, 18, 21, 24, 26, 27, 28, 36, 39, 42, 44, 48, 52, 54, 56, 63, 72, 78, 81, 84, 91, 104, 108, 112, 117, 123, 126, 144, 156, 162, 168, 182, 189 |
| 0 | 0 | 10 | 0 | 2, 4, 8, 12, 24, 26, 29, 42, 48, 51, 52, 56, 58, 68, 84, 102, 112, 119, 136, 168 |
| 0 | 0 | 11 | 3 | 4, 8, 16, 61, 76, 152 |
| 0 | 0 | 12 | 3 | 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 19, 21, 24, 28, 31, 36, 38, 42, 48, 51, 56, 57, 62, 63, 68, 72, 76, 84, 93, 96, 102, 114, 124, 126, 133, 136, 138, 152, 168, 171, 186, 189 |
| 0 | 0 | 13 | 3 | 4, 8, 9, 13, 16, 19, 31, 38, 39, 51, 62, 63, 76, 91, 117, 119, 124, 152, 153 |
| 0 | 0 | 15 | 0 | 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 37, 48, 62, 72, 74, 108, 111, 144, 148, 191 |
| 0 | 0 | 16 | 3 | 2, 4, 7, 8, 11, 12, 14, 16, 22, 24, 26, 28, 48, 52, 56, 71, 88, 91, 96, 104, 142, 164, 182 |
| 0 | 0 | 17 | 3 | 4, 8, 11, 13, 16, 19, 26, 38, 39, 44, 52, 76, 79, 91, 93, 104, 109, 143, 152 |
| 0 | 0 | 19 | 3 | 4, 7, 8, 11, 14, 16, 19, 26, 28, 29, 31, 37, 38, 52, 56, 62, 74, 76, 79, 91, 104, 112, 133, 148, 152, 163, 182 |
| 0 | 0 | 20 | 0 | 2, 4, 8, 12, 16, 24, 26, 42, 48, 51, 52, 56, 68, 84, 96, 102, 104, 109, 112, 119, 136, 168 |
| 0 | 0 | 21 | 3 | 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 51, 56, 57, 63, 72, 76, 84, 108, 112, 114, 119, 126, 133, 144, 147, 152, 168, 171, 189 |
| 0 | 1 | -19 | 3 | 19 |
| 0 | 1 | -18 | 3 | 2, 3, 4, 9, 18, 27 |
| 0 | 1 | -17 | 3 | 17 |
| 0 | 1 | -16 | 3 | 2, 4, 8, 16 |
| 0 | 1 | -14 | 3 | 2, 4 |
| 0 | 1 | -12 | 3 | 2, 3, 4, 8, 12, 16 |
| 0 | 1 | -11 | 3 | 11, 33, 88, 176 |
| 0 | 1 | -10 | 2 | 2, 4 |
| 0 | 1 | -9 | 3 | 3, 9, 27, 144 |
| 0 | 1 | -7 | 3 | |
| 0 | 1 | -6 | 3 | 2, 3, 4, 42, 84 |
| 0 | 1 | -5 | 2 | |
| 0 | 1 | -4 | 3 | 2, 4, 8, 16 |
| 0 | 1 | -3 | 3 | 3 |
| 0 | 1 | -2 | 3 | 2, 4 |
| 0 | 1 | -1 | 3 | |
| 0 | 1 | 1 | 3 | |
| 0 | 1 | 2 | 3 | 2, 4 |
| 0 | 1 | 3 | 3 | 3 |
| 0 | 1 | 4 | 3 | 2, 4, 8, 16 |
| 0 | 1 | 5 | 2 | |
| 0 | 1 | 6 | 3 | 2, 3, 4, 42, 84 |
| 0 | 1 | 7 | 3 | |
| 0 | 1 | 9 | 3 | 3, 9, 27, 144 |
| 0 | 1 | 10 | 2 | 2, 4 |
| 0 | 1 | 11 | 3 | 11, 33, 88, 176 |
| 0 | 1 | 12 | 3 | 2, 3, 4, 8, 12, 16 |
| 0 | 1 | 14 | 3 | 2, 4 |
| 0 | 1 | 16 | 3 | 2, 4, 8, 16 |
| 0 | 1 | 17 | 3 | 17 |
| 0 | 1 | 18 | 3 | 2, 3, 4, 9, 18, 27 |
| 0 | 1 | 19 | 3 | 19 |
| 0 | 2 | -17 | 3 | 4 |
| 0 | 2 | -16 | 3 | 2, 4, 8, 16 |
| 0 | 2 | -15 | 2 | 3, 4, 9 |
| 0 | 2 | -14 | 3 | 2, 4, 8 |
| 0 | 2 | -13 | 3 | 4 |
| 0 | 2 | -11 | 3 | 4, 71 |
| 0 | 2 | -10 | 2 | 2, 4, 8 |
| 0 | 2 | -9 | 3 | 3, 4, 9 |
| 0 | 2 | -8 | 3 | 2, 4, 8, 16 |
| 0 | 2 | -7 | 3 | 4 |
| 0 | 2 | -6 | 3 | 2, 3, 4, 8, 9, 12, 18, 24, 36, 48, 72, 144 |
| 0 | 2 | -5 | 2 | 4 |
| 0 | 2 | -4 | 3 | 2, 4, 8, 16 |
| 0 | 2 | -3 | 3 | 3, 4, 9 |
| 0 | 2 | -2 | 3 | 2, 4, 8, 134 |
| 0 | 2 | -1 | 3 | 4 |
| 0 | 2 | 1 | 3 | 4 |
| 0 | 2 | 2 | 3 | 2, 4, 8, 134 |
| 0 | 2 | 3 | 3 | 3, 4, 9 |
| 0 | 2 | 4 | 3 | 2, 4, 8, 16 |
| 0 | 2 | 5 | 2 | 4 |
| 0 | 2 | 6 | 3 | 2, 3, 4, 8, 9, 12, 18, 24, 36, 48, 72, 144 |
| 0 | 2 | 7 | 3 | 4 |
| 0 | 2 | 8 | 3 | 2, 4, 8, 16 |
| 0 | 2 | 9 | 3 | 3, 4, 9 |
| 0 | 2 | 10 | 2 | 2, 4, 8 |
| 0 | 2 | 11 | 3 | 4 |
| 0 | 2 | 13 | 3 | 4 |
| 0 | 2 | 14 | 3 | 2, 4, 8 |
| 0 | 2 | 15 | 2 | 3, 4, 9 |
| 0 | 2 | 16 | 3 | 2, 4, 8, 16 |
| 0 | 2 | 17 | 3 | 4 |
| 0 | 3 | -15 | 2 | 3, 9, 12 |
| 0 | 3 | -14 | 3 | 2, 4, 7, 14, 21, 42, 84 |
| 0 | 3 | -13 | 3 | |
| 0 | 3 | -12 | 3 | 2, 3, 4, 9 |
| 0 | 3 | -10 | 2 | 2, 4 |
| 0 | 3 | -8 | 3 | 2, 4 |
| 0 | 3 | -7 | 3 | 7, 21 |
| 0 | 3 | -6 | 3 | 2, 3, 4, 9 |
| 0 | 3 | -5 | 2 | |
| 0 | 3 | -4 | 3 | 2, 4 |
| 0 | 3 | -3 | 3 | 3, 9, 12 |
| 0 | 3 | -2 | 3 | 2, 4 |
| 0 | 3 | -1 | 3 | |
| 0 | 3 | 1 | 3 | |
| 0 | 3 | 2 | 3 | 2, 4 |
| 0 | 3 | 3 | 3 | 3, 9, 12 |
| 0 | 3 | 4 | 3 | 2, 4 |
| 0 | 3 | 5 | 2 | |
| 0 | 3 | 6 | 3 | 2, 3, 4, 9 |
| 0 | 3 | 7 | 3 | 7, 21 |
| 0 | 3 | 8 | 3 | 2, 4 |
| 0 | 3 | 10 | 2 | 2, 4 |
| 0 | 3 | 12 | 3 | 2, 3, 4, 9 |
| 0 | 3 | 13 | 3 | |
| 0 | 3 | 14 | 3 | 2, 4, 7, 14, 21, 42, 84 |
| 0 | 3 | 15 | 2 | 3, 9, 12 |
| 0 | 4 | -13 | 3 | 4, 8, 16 |
| 0 | 4 | -12 | 3 | 2, 3, 4, 6, 8, 12, 16, 18, 24, 36, 48, 72, 96 |
| 0 | 4 | -11 | 3 | 4, 8, 16 |
| 0 | 4 | -9 | 3 | 3, 4, 8, 16, 18, 24, 36, 48, 72, 144 |
| 0 | 4 | -8 | 3 | 2, 4, 8, 16, 56, 112 |
| 0 | 4 | -7 | 3 | 4, 8, 16 |
| 0 | 4 | -5 | 2 | 4, 8, 16 |
| 0 | 4 | -4 | 3 | 2, 4, 8, 16 |
| 0 | 4 | -3 | 3 | 3, 4, 8, 16, 17, 18, 24, 36, 48, 51, 72, 144 |
| 0 | 4 | -2 | 3 | 2, 4, 8 |
| 0 | 4 | -1 | 3 | 4, 8, 16 |
| 0 | 4 | 1 | 3 | 4, 8, 16 |
| 0 | 4 | 2 | 3 | 2, 4, 8 |
| 0 | 4 | 3 | 3 | 3, 4, 8, 16, 17, 18, 24, 36, 48, 51, 72, 144 |
| 0 | 4 | 4 | 3 | 2, 4, 8, 16 |
| 0 | 4 | 5 | 2 | 4, 8, 16 |
| 0 | 4 | 7 | 3 | 4, 8, 16 |
| 0 | 4 | 8 | 3 | 2, 4, 8, 16, 56, 112 |
| 0 | 4 | 9 | 3 | 3, 4, 8, 16, 18, 24, 36, 48, 72, 144 |
| 0 | 4 | 11 | 3 | 4, 8, 16 |
| 0 | 4 | 12 | 3 | 2, 3, 4, 6, 8, 12, 16, 18, 24, 36, 48, 72, 96 |
| 0 | 4 | 13 | 3 | 4, 8, 16 |
| 0 | 5 | -11 | 3 | |
| 0 | 5 | -10 | 0 | 2, 4 |
| 0 | 5 | -8 | 3 | 2, 4, 8, 16, 32, 53 |
| 0 | 5 | -7 | 3 | 7 |
| 0 | 5 | -6 | 3 | 2, 3, 4, 6, 9, 12, 18, 24 |
| 0 | 5 | -5 | 0 | |
| 0 | 5 | -4 | 3 | 2, 4, 8, 16 |
| 0 | 5 | -2 | 3 | 2, 4, 11 |
| 0 | 5 | -1 | 3 | 31, 62, 124 |
| 0 | 5 | 1 | 3 | 31, 62, 124 |
| 0 | 5 | 2 | 3 | 2, 4, 11 |
| 0 | 5 | 4 | 3 | 2, 4, 8, 16 |
| 0 | 5 | 5 | 0 | |
| 0 | 5 | 6 | 3 | 2, 3, 4, 6, 9, 12, 18, 24 |
| 0 | 5 | 7 | 3 | 7 |
| 0 | 5 | 8 | 3 | 2, 4, 8, 16, 32, 53 |
| 0 | 5 | 10 | 0 | 2, 4 |
| 0 | 5 | 11 | 3 | |
| 0 | 6 | -9 | 3 | 3, 4, 6, 9, 12, 18, 24, 36, 72, 108 |
| 0 | 6 | -7 | 3 | 4 |
| 0 | 6 | -6 | 3 | 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 48 |
| 0 | 6 | -5 | 2 | 4 |
| 0 | 6 | -4 | 3 | 2, 4, 8, 12, 16, 24, 48, 96 |
| 0 | 6 | -3 | 3 | 3, 4, 6, 9, 12, 18, 24, 36, 72, 108 |
| 0 | 6 | -2 | 3 | 2, 4, 8, 12, 24, 48 |
| 0 | 6 | -1 | 3 | 4 |
| 0 | 6 | 1 | 3 | 4 |
| 0 | 6 | 2 | 3 | 2, 4, 8, 12, 24, 48 |
| 0 | 6 | 3 | 3 | 3, 4, 6, 9, 12, 18, 24, 36, 72, 108 |
| 0 | 6 | 4 | 3 | 2, 4, 8, 12, 16, 24, 48, 96 |
| 0 | 6 | 5 | 2 | 4 |
| 0 | 6 | 6 | 3 | 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 48 |
| 0 | 6 | 7 | 3 | 4 |
| 0 | 6 | 9 | 3 | 3, 4, 6, 9, 12, 18, 24, 36, 72, 108 |
| 0 | 7 | -6 | 3 | 2, 3, 4, 42, 84 |
| 0 | 7 | -5 | 2 | 7 |
| 0 | 7 | -4 | 3 | 2, 4, 43 |
| 0 | 7 | -2 | 3 | 2, 4, 7 |
| 0 | 7 | -1 | 3 | |
| 0 | 7 | 1 | 3 | |
| 0 | 7 | 2 | 3 | 2, 4, 7 |
| 0 | 7 | 4 | 3 | 2, 4, 43 |
| 0 | 7 | 5 | 2 | 7 |
| 0 | 7 | 6 | 3 | 2, 3, 4, 42, 84 |
| 0 | 8 | -7 | 3 | 4, 8, 16 |
| 0 | 8 | -5 | 2 | 4, 8, 16 |
| 0 | 8 | -4 | 3 | 2, 4, 8, 16, 89 |
| 0 | 8 | -3 | 3 | 3, 4, 8, 9, 16, 38, 76 |
| 0 | 8 | -2 | 3 | 2, 4, 8 |
| 0 | 8 | -1 | 3 | 4, 8, 16 |
| 0 | 8 | 1 | 3 | 4, 8, 16 |
| 0 | 8 | 2 | 3 | 2, 4, 8 |
| 0 | 8 | 3 | 3 | 3, 4, 8, 9, 16 |
| 0 | 8 | 4 | 3 | 2, 4, 8, 16, 89 |
| 0 | 8 | 5 | 2 | 4, 8, 16 |
| 0 | 8 | 7 | 3 | 4, 8, 16 |
| 0 | 9 | -3 | 3 | 3, 9, 12, 24 |
| 0 | 9 | -2 | 3 | 2, 4 |
| 0 | 9 | -1 | 3 | |
| 0 | 9 | 1 | 3 | |
| 0 | 9 | 2 | 3 | 2, 4 |
| 0 | 9 | 3 | 3 | 3, 9, 12, 24 |
| 0 | 10 | -3 | 3 | 3, 4, 18, 24, 36, 72 |
| 0 | 10 | -1 | 3 | 4 |
| 0 | 10 | 1 | 3 | 4 |
| 0 | 10 | 3 | 3 | 3, 4, 18, 24, 36, 72 |
| 0 | 11 | -2 | 3 | 2, 4 |
| 0 | 11 | -1 | 3 | |
| 0 | 11 | 1 | 3 | |
| 0 | 11 | 2 | 3 | 2, 4 |
| 0 | 12 | -1 | 3 | 4, 8, 16 |
| 0 | 12 | 1 | 3 | 4, 8, 16 |
| n < 100 where 2 is a common index divisors with dim A = 4 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| a7 | a6 | a5 | a4 | p-rank | non-monogenic n | ||||
| -5 | 12 | -20 | 29 | 4 | 5, 11, 15, 55, 99 | ||||
| -5 | 13 | -25 | 39 | 4 | 5, 11, 15, 19, 31, 33, 55, 57, 61, 85, 93 | ||||
| -4 | 4 | 7 | -21 | 4 | 11, 15, 19, 31, 33, 55, 57, 61, 93 | ||||
| -4 | 5 | 2 | -11 | 4 | 13, 97 | ||||
| -4 | 6 | -4 | 2 | 0 | 7, 89 | ||||
| -4 | 8 | -12 | 17 | 4 | 3, 5, 47, 89, 91, 93 | ||||
| -4 | 9 | -17 | 27 | 4 | |||||
| -4 | 10 | -19 | 29 | 4 | 3, 9 | ||||
| -3 | 2 | 0 | 1 | 4 | 3, 5, 9, 11, 15, 25, 31, 33, 45, 55, 75, 93, 99 | ||||
| -3 | 2 | 4 | -10 | 1 | |||||
| -3 | 2 | 5 | -13 | 4 | |||||
| -3 | 2 | 6 | -15 | 4 | 3, 9, 27 | ||||
| -3 | 3 | -2 | 3 | 4 | |||||
| -3 | 3 | -1 | 0 | 3 | |||||
| -3 | 3 | 0 | -3 | 4 | 3, 9, 27 | ||||
| -3 | 3 | 1 | -5 | 4 | 3, 15, 17, 45 | ||||
| -3 | 3 | 2 | -7 | 4 | |||||
| -3 | 3 | 3 | -11 | 4 | 3, 5, 9, 27 | ||||
| -3 | 4 | -6 | 10 | 1 | 3, 9, 27 | ||||
| -3 | 4 | -4 | 5 | 4 | 3 | ||||
| -3 | 4 | -2 | -1 | 4 | 3 | ||||
| -3 | 5 | -9 | 15 | 4 | 3, 9, 27 | ||||
| -3 | 5 | -8 | 13 | 4 | |||||
| -3 | 5 | -7 | 9 | 4 | 3, 9 | ||||
| -3 | 5 | -7 | 11 | 4 | 17 | ||||
| -3 | 5 | -6 | 6 | 2 | 3, 9, 13, 27, 97 | ||||
| -3 | 5 | -6 | 7 | 4 | 3, 9 | ||||
| -3 | 5 | -5 | 5 | 4 | |||||
| -3 | 6 | -12 | 19 | 4 | 3, 9, 27 | ||||
| -3 | 6 | -11 | 17 | 4 | |||||
| -3 | 6 | -10 | 14 | 1 | |||||
| -3 | 6 | -10 | 15 | 4 | |||||
| -3 | 6 | -9 | 12 | 3 | 3, 9, 27 | ||||
| -3 | 6 | -8 | 11 | 4 | |||||
| -3 | 7 | -13 | 19 | 4 | 5 | ||||
| -3 | 7 | -13 | 21 | 4 | 3, 5 | ||||
| -3 | 7 | -12 | 19 | 4 | 3, 9, 27 | ||||
| -3 | 7 | -11 | 17 | 4 | 3 | ||||
| -3 | 8 | -14 | 23 | 4 | 11, 99 | ||||
| -2 | -1 | 3 | -1 | 4 | 3 | ||||
| -2 | 0 | -2 | 9 | 4 | 3 | ||||
| -2 | 0 | 1 | 1 | 4 | 3, 9, 39 | ||||
| -2 | 0 | 2 | -2 | 0 | 3, 7, 9, 45 | ||||
| -2 | 0 | 3 | -5 | 4 | 3, 9 | ||||
| -2 | 0 | 3 | -4 | 3 | |||||
| -2 | 0 | 4 | -7 | 4 | |||||
| -2 | 0 | 4 | -6 | 0 | 3 | ||||
| -2 | 1 | -3 | 8 | 3 | |||||
| -2 | 1 | -2 | 5 | 4 | 3, 9 | ||||
| -2 | 1 | -1 | 3 | 4 | 15 | ||||
| -2 | 1 | -1 | 4 | 3 | |||||
| -2 | 1 | 0 | 1 | 4 | 15 | ||||
| -2 | 1 | 1 | -3 | 4 | 3, 9, 11, 33 | ||||
| -2 | 1 | 1 | -1 | 4 | 3, 9, 15 | ||||
| -2 | 1 | 2 | -6 | 2 | |||||
| -2 | 1 | 2 | -5 | 4 | 5, 25 | ||||
| -2 | 1 | 2 | -3 | 4 | 9, 13, 47, 91, 93 | ||||
| -2 | 1 | 3 | -9 | 4 | 3 | ||||
| -2 | 1 | 3 | -8 | 3 | 23 | ||||
| -2 | 1 | 3 | -7 | 4 | 9, 11, 33, 99 | ||||
| -2 | 1 | 4 | -11 | 4 | 3, 7 | ||||
| -2 | 1 | 4 | -10 | 2 | 3, 9 | ||||
| -2 | 2 | -5 | 11 | 4 | 5, 7, 11, 15, 25, 31, 33, 45, 55 | ||||
| -2 | 2 | -4 | 7 | 4 | |||||
| -2 | 2 | -4 | 9 | 4 | 3 | ||||
| -2 | 2 | -3 | 4 | 3 | |||||
| -2 | 2 | -3 | 5 | 4 | 3 | ||||
| -2 | 2 | -3 | 7 | 4 | |||||
| -2 | 2 | -2 | 1 | 4 | 5, 13, 97 | ||||
| -2 | 2 | -2 | 2 | 0 | |||||
| -2 | 2 | -2 | 3 | 4 | 3 | ||||
| -2 | 2 | -1 | -1 | 4 | 3, 9, 15 | ||||
| -2 | 2 | -1 | 1 | 4 | 11 | ||||
| -2 | 2 | 0 | -4 | 0 | 3, 5, 11, 13, 15, 17, 21, 25, 29, 31, 33, 35, 37, 39, 41, 45, 51, 55, 61, 63, 65, 75, 77, 85, 91, 93, 99 | ||||
| -2 | 2 | 0 | -3 | 4 | 3, 9 | ||||
| -2 | 2 | 0 | -2 | 0 | |||||
| -2 | 2 | 0 | -1 | 4 | 3, 11 | ||||
| -2 | 2 | 1 | -5 | 4 | |||||
| -2 | 2 | 1 | -3 | 4 | 3 | ||||
| -2 | 2 | 2 | -6 | 0 | 3, 11 | ||||
| -2 | 2 | 2 | -5 | 4 | |||||
| -2 | 2 | 3 | -7 | 4 | 3 | ||||
| -2 | 3 | -6 | 11 | 4 | |||||
| -2 | 3 | -5 | 7 | 4 | 3, 9 | ||||
| -2 | 3 | -5 | 8 | 3 | |||||
| -2 | 3 | -5 | 9 | 4 | 3 | ||||
| -2 | 3 | -4 | 3 | 4 | |||||
| -2 | 3 | -4 | 5 | 4 | 3 | ||||
| -2 | 3 | -4 | 6 | 2 | 17 | ||||
| -2 | 3 | -4 | 7 | 4 | 3, 9, 17 | ||||
| -2 | 3 | -3 | 2 | 3 | |||||
| -2 | 3 | -3 | 3 | 4 | |||||
| -2 | 3 | -3 | 5 | 4 | 5, 25 | ||||
| -2 | 3 | -2 | 2 | 2 | |||||
| -2 | 3 | -2 | 3 | 4 | 3, 39 | ||||
| -2 | 3 | -1 | 0 | 3 | 11, 55 | ||||
| -2 | 3 | -1 | 1 | 4 | 3, 9 | ||||
| -2 | 3 | 0 | -1 | 4 | |||||
| -2 | 4 | -8 | 10 | 0 | 3 | ||||
| -2 | 4 | -8 | 11 | 4 | 3, 9 | ||||
| -2 | 4 | -7 | 9 | 4 | |||||
| -2 | 4 | -7 | 10 | 3 | 11 | ||||
| -2 | 4 | -7 | 11 | 4 | 3, 9, 11, 33 | ||||
| -2 | 4 | -7 | 13 | 4 | |||||
| -2 | 4 | -6 | 9 | 4 | 3, 7 | ||||
| -2 | 4 | -6 | 10 | 0 | |||||
| -2 | 4 | -5 | 7 | 4 | 3, 11 | ||||
| -2 | 4 | -5 | 9 | 4 | 3, 9, 13, 39 | ||||
| -2 | 4 | -4 | 6 | 0 | |||||
| -2 | 4 | -4 | 7 | 4 | |||||
| -2 | 4 | -3 | 5 | 4 | 9 | ||||
| -2 | 5 | -10 | 13 | 4 | 17 | ||||
| -2 | 5 | -9 | 14 | 3 | 3 | ||||
| -2 | 5 | -8 | 13 | 4 | 13, 97 | ||||
| -2 | 5 | -7 | 13 | 4 | |||||
| -2 | 5 | -6 | 11 | 4 | 3, 73 | ||||
| -2 | 6 | -9 | 17 | 4 | 11 | ||||
| -1 | -3 | 1 | 7 | 4 | 3, 9 | ||||
| -1 | -3 | 2 | 5 | 4 | |||||
| -1 | -2 | 0 | 6 | 1 | 3, 5, 11 | ||||
| -1 | -2 | 0 | 7 | 4 | |||||
| -1 | -2 | 1 | 3 | 4 | 5, 9, 11, 15, 33, 45, 55, 59, 99 | ||||
| -1 | -2 | 1 | 4 | 3 | |||||
| -1 | -2 | 2 | 1 | 4 | 3 | ||||
| -1 | -2 | 2 | 2 | 1 | 3, 5, 9, 15, 17, 45 | ||||
| -1 | -2 | 2 | 3 | 4 | 3, 9, 13, 39 | ||||
| -1 | -1 | -1 | 5 | 4 | 17 | ||||
| -1 | -1 | -1 | 7 | 4 | |||||
| -1 | -1 | 0 | 2 | 2 | 3 | ||||
| -1 | -1 | 0 | 3 | 4 | 3, 9, 93 | ||||
| -1 | -1 | 0 | 5 | 4 | 3 | ||||
| -1 | -1 | 1 | -1 | 4 | 3, 9, 83 | ||||
| -1 | -1 | 1 | 0 | 3 | 3 | ||||
| -1 | -1 | 1 | 1 | 4 | |||||
| -1 | -1 | 1 | 3 | 4 | 3 | ||||
| -1 | -1 | 2 | -3 | 4 | 3 | ||||
| -1 | -1 | 2 | -1 | 4 | |||||
| -1 | -1 | 2 | 1 | 4 | 5 | ||||
| -1 | -1 | 3 | -1 | 4 | 3, 11, 15, 23, 25, 29, 31, 33, 37, 45, 55, 71, 75, 77, 93, 99 | ||||
| -1 | 0 | -2 | 4 | 1 | 3, 9, 45 | ||||
| -1 | 0 | -2 | 5 | 4 | 3 | ||||
| -1 | 0 | -2 | 6 | 1 | |||||
| -1 | 0 | -2 | 7 | 4 | 3, 9 | ||||
| -1 | 0 | -1 | 1 | 4 | 3, 9 | ||||
| -1 | 0 | -1 | 2 | 3 | |||||
| -1 | 0 | -1 | 4 | 3 | 3, 9 | ||||
| -1 | 0 | -1 | 5 | 4 | |||||
| -1 | 0 | 0 | -2 | 1 | 3, 9 | ||||
| -1 | 0 | 0 | -1 | 4 | 7, 35, 49 | ||||
| -1 | 0 | 0 | 1 | 4 | 3, 9 | ||||
| -1 | 0 | 0 | 2 | 1 | 5, 25 | ||||
| -1 | 0 | 0 | 3 | 4 | 11, 33 | ||||
| -1 | 0 | 1 | -5 | 4 | 3, 9 | ||||
| -1 | 0 | 1 | -4 | 3 | 3 | ||||
| -1 | 0 | 1 | -3 | 4 | 5 | ||||
| -1 | 0 | 1 | -2 | 3 | 3, 9, 17 | ||||
| -1 | 0 | 1 | 0 | 3 | |||||
| -1 | 0 | 1 | 1 | 4 | 3, 9 | ||||
| -1 | 0 | 2 | -7 | 4 | 29 | ||||
| -1 | 0 | 2 | -6 | 1 | 3 | ||||
| -1 | 0 | 2 | -5 | 4 | 3, 9 | ||||
| -1 | 0 | 2 | -4 | 1 | |||||
| -1 | 0 | 2 | -3 | 4 | 3 | ||||
| -1 | 0 | 2 | -2 | 1 | 3, 9 | ||||
| -1 | 0 | 2 | -1 | 4 | 7 | ||||
| -1 | 0 | 3 | -5 | 4 | 3, 7, 9, 27, 81 | ||||
| -1 | 0 | 3 | -4 | 3 | 11 | ||||
| -1 | 1 | -4 | 5 | 4 | 3, 9, 15 | ||||
| -1 | 1 | -3 | 3 | 4 | 3, 63 | ||||
| -1 | 1 | -3 | 5 | 4 | 15 | ||||
| -1 | 1 | -3 | 7 | 4 | |||||
| -1 | 1 | -2 | 0 | 2 | 7 | ||||
| -1 | 1 | -2 | 1 | 4 | |||||
| -1 | 1 | -2 | 3 | 4 | |||||
| -1 | 1 | -2 | 4 | 2 | |||||
| -1 | 1 | -2 | 6 | 2 | |||||
| -1 | 1 | -2 | 7 | 4 | 7 | ||||
| -1 | 1 | -1 | -3 | 4 | 3, 9, 13, 39 | ||||
| -1 | 1 | -1 | -1 | 4 | 3, 9 | ||||
| -1 | 1 | -1 | 0 | 3 | 3, 9 | ||||
| -1 | 1 | -1 | 1 | 4 | 3 | ||||
| -1 | 1 | -1 | 2 | 3 | 3, 9, 11 | ||||
| -1 | 1 | -1 | 3 | 4 | 3, 9 | ||||
| -1 | 1 | -1 | 4 | 3 | 3 | ||||
| -1 | 1 | -1 | 5 | 4 | 3, 9, 13 | ||||
| -1 | 1 | 0 | -5 | 4 | |||||
| -1 | 1 | 0 | -2 | 2 | |||||
| -1 | 1 | 0 | -1 | 4 | |||||
| -1 | 1 | 0 | 0 | 2 | 3 | ||||
| -1 | 1 | 0 | 1 | 4 | 11 | ||||
| -1 | 1 | 0 | 3 | 4 | 3, 31 | ||||
| -1 | 1 | 1 | -5 | 4 | 11 | ||||
| -1 | 1 | 1 | -3 | 4 | |||||
| -1 | 1 | 1 | -2 | 3 | |||||
| -1 | 1 | 1 | -1 | 4 | 3, 9, 27, 81 | ||||
| -1 | 1 | 1 | 1 | 4 | 5, 25 | ||||
| -1 | 1 | 2 | -3 | 4 | 3, 9 | ||||
| -1 | 1 | 2 | -2 | 2 | 3 | ||||
| -1 | 1 | 2 | -1 | 4 | 3, 9 | ||||
| -1 | 1 | 3 | -5 | 4 | |||||
| -1 | 1 | 3 | -3 | 4 | 3 | ||||
| -1 | 1 | 4 | -6 | 2 | 7, 9, 47 | ||||
| -1 | 1 | 4 | -5 | 4 | |||||
| -1 | 2 | -5 | 4 | 3 | |||||
| -1 | 2 | -5 | 6 | 3 | 3, 19 | ||||
| -1 | 2 | -4 | 1 | 4 | 7, 21 | ||||
| -1 | 2 | -4 | 2 | 1 | |||||
| -1 | 2 | -4 | 3 | 4 | 3 | ||||
| -1 | 2 | -4 | 5 | 4 | |||||
| -1 | 2 | -4 | 7 | 4 | |||||
| -1 | 2 | -3 | 1 | 4 | |||||
| -1 | 2 | -3 | 2 | 3 | 3 | ||||
| -1 | 2 | -3 | 4 | 3 | |||||
| -1 | 2 | -3 | 5 | 4 | 3 | ||||
| -1 | 2 | -3 | 8 | 3 | 3, 5 | ||||
| -1 | 2 | -2 | 1 | 4 | |||||
| -1 | 2 | -2 | 3 | 4 | 3, 7 | ||||
| -1 | 2 | -2 | 4 | 1 | |||||
| -1 | 2 | -2 | 5 | 4 | 3, 9, 11, 33 | ||||
| -1 | 2 | -2 | 6 | 1 | 3 | ||||
| -1 | 2 | -2 | 7 | 4 | 5 | ||||
| -1 | 2 | -1 | 2 | 3 | |||||
| -1 | 2 | -1 | 4 | 3 | |||||
| -1 | 2 | 0 | -1 | 4 | 3 | ||||
| -1 | 2 | 0 | 1 | 4 | 11 | ||||
| -1 | 2 | 0 | 2 | 1 | 3, 5 | ||||
| -1 | 2 | 0 | 3 | 4 | 3, 9 | ||||
| -1 | 2 | 1 | 1 | 4 | |||||
| -1 | 2 | 2 | -1 | 4 | |||||
| -1 | 3 | -6 | 5 | 4 | |||||
| -1 | 3 | -5 | 5 | 4 | 3, 7 | ||||
| -1 | 3 | -5 | 6 | 3 | 5 | ||||
| -1 | 3 | -5 | 7 | 4 | 3, 9 | ||||
| -1 | 3 | -4 | 5 | 4 | |||||
| -1 | 3 | -4 | 6 | 2 | 3 | ||||
| -1 | 3 | -4 | 8 | 2 | 5 | ||||
| -1 | 3 | -3 | 5 | 4 | |||||
| -1 | 3 | -3 | 7 | 4 | 3, 5, 9, 27, 81 | ||||
| -1 | 3 | -3 | 8 | 3 | |||||
| -1 | 3 | -3 | 9 | 4 | |||||
| -1 | 3 | -2 | 6 | 2 | |||||
| -1 | 3 | -2 | 7 | 4 | 3, 9 | ||||
| -1 | 3 | -1 | 3 | 4 | 3 | ||||
| -1 | 3 | -1 | 5 | 4 | 35 | ||||
| -1 | 3 | 1 | 3 | 4 | 5 | ||||
| -1 | 4 | -6 | 9 | 4 | 3 | ||||
| -1 | 4 | -5 | 10 | 3 | |||||
| -1 | 4 | -4 | 9 | 4 | 3, 9 | ||||
| -1 | 4 | -4 | 11 | 4 | 3, 9 | ||||
| -1 | 4 | -2 | 9 | 4 | 11, 15, 19, 33, 55, 57, 61 | ||||
| -1 | 5 | -5 | 13 | 4 | |||||
| 0 | -5 | 0 | 13 | 4 | 3, 5, 9, 11, 15, 25, 27, 31, 33, 45, 55, 59, 75, 93, 99 | ||||
| 0 | -4 | 0 | 9 | 4 | 3, 9, 11, 27, 97 | ||||
| 0 | -4 | 0 | 10 | 0 | 3, 7, 9, 47, 89 | ||||
| 0 | -3 | -1 | 7 | 4 | 3 | ||||
| 0 | -3 | 0 | 6 | 2 | 3, 9, 27 | ||||
| 0 | -3 | 0 | 7 | 4 | 3, 5, 7, 9, 11, 15, 17, 21, 27, 33, 35, 39, 43, 45, 51, 61, 79, 85 | ||||
| 0 | -3 | 0 | 9 | 4 | 3, 5, 9, 11, 15, 27, 55, 59, 99 | ||||
| 0 | -3 | 1 | 7 | 4 | 3 | ||||
| 0 | -2 | -1 | 3 | 4 | 3 | ||||
| 0 | -2 | -1 | 5 | 4 | 3, 11 | ||||
| 0 | -2 | 0 | 1 | 4 | 3, 7, 9, 13, 21, 27, 47, 49, 63, 89, 91, 93 | ||||
| 0 | -2 | 0 | 2 | 0 | 3, 5, 9, 11, 15, 17, 29, 37, 45, 51, 53, 85, 87 | ||||
| 0 | -2 | 0 | 3 | 4 | 3, 5, 7, 9, 15, 25, 29, 35, 71 | ||||
| 0 | -2 | 0 | 4 | 0 | 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 27, 31, 33, 35, 39, 41, 43, 45, 51, 55, 57, 61, 63, 65, 69, 71, 73, 75, 77, 85, 89, 91, 93, 99 | ||||
| 0 | -2 | 0 | 6 | 0 | 3, 9, 97 | ||||
| 0 | -2 | 0 | 7 | 4 | 3, 5, 7, 9, 17, 27, 51, 63, 85 | ||||
| 0 | -2 | 1 | 3 | 4 | 3 | ||||
| 0 | -2 | 1 | 5 | 4 | 3, 11 | ||||
| 0 | -1 | -2 | 2 | 2 | |||||
| 0 | -1 | -1 | -1 | 4 | |||||
| 0 | -1 | -1 | 0 | 3 | 3, 9, 15 | ||||
| 0 | -1 | -1 | 1 | 4 | 5, 53 | ||||
| 0 | -1 | -1 | 2 | 3 | |||||
| 0 | -1 | -1 | 3 | 4 | 3, 9 | ||||
| 0 | -1 | -1 | 4 | 3 | |||||
| 0 | -1 | -1 | 5 | 4 | |||||
| 0 | -1 | 0 | -3 | 4 | 3, 7, 9, 11, 17, 19, 21, 23, 27, 31, 47, 55, 57, 61, 69, 79, 93 | ||||
| 0 | -1 | 0 | -2 | 2 | 3, 5, 9, 15, 45, 59, 75, 99 | ||||
| 0 | -1 | 0 | -1 | 4 | 3, 7, 9, 11, 21, 41, 63, 83 | ||||
| 0 | -1 | 0 | 0 | 2 | 3, 9, 13, 27, 97 | ||||
| 0 | -1 | 0 | 1 | 4 | 3, 7, 9, 15, 45, 67, 83 | ||||
| 0 | -1 | 0 | 3 | 4 | 3, 5, 7, 9, 21, 27, 41, 59 | ||||
| 0 | -1 | 0 | 5 | 4 | 3, 9, 19 | ||||
| 0 | -1 | 0 | 7 | 4 | 3, 9, 15, 29, 41, 45 | ||||
| 0 | -1 | 1 | -1 | 4 | |||||
| 0 | -1 | 1 | 0 | 3 | 3, 9, 15 | ||||
| 0 | -1 | 1 | 1 | 4 | 5, 53 | ||||
| 0 | -1 | 1 | 2 | 3 | |||||
| 0 | -1 | 1 | 3 | 4 | 3, 9 | ||||
| 0 | -1 | 1 | 4 | 3 | |||||
| 0 | -1 | 1 | 5 | 4 | |||||
| 0 | -1 | 2 | 2 | 2 | |||||
| 0 | 0 | -3 | 1 | 4 | 3, 9, 27 | ||||
| 0 | 0 | -2 | -2 | 0 | 3 | ||||
| 0 | 0 | -2 | -1 | 4 | 11 | ||||
| 0 | 0 | -2 | 0 | 0 | |||||
| 0 | 0 | -2 | 2 | 0 | |||||
| 0 | 0 | -2 | 3 | 4 | |||||
| 0 | 0 | -1 | -5 | 4 | 3, 29 | ||||
| 0 | 0 | -1 | -4 | 3 | |||||
| 0 | 0 | -1 | -3 | 4 | |||||
| 0 | 0 | -1 | -1 | 4 | |||||
| 0 | 0 | -1 | 1 | 4 | 3 | ||||
| 0 | 0 | -1 | 2 | 3 | |||||
| 0 | 0 | -1 | 3 | 4 | 17 | ||||
| 0 | 0 | -1 | 5 | 4 | |||||
| 0 | 0 | 0 | -7 | 4 | 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 31, 33, 39, 47, 51, 53, 55, 57, 61, 63, 85, 93 | ||||
| 0 | 0 | 0 | -6 | 0 | 3, 5, 9, 11, 15, 17, 23, 25, 27, 29, 33, 35, 37, 43, 45, 51, 53, 55, 65, 67, 69, 85, 87, 91, 99 | ||||
| 0 | 0 | 0 | -5 | 4 | 3, 5, 7, 9, 11, 15, 17, 21, 25, 27, 33, 35, 39, 41, 43, 45, 47, 51, 55, 61, 63, 79, 81, 85, 99 | ||||
| 0 | 0 | 0 | -3 | 4 | 3, 5, 7, 9, 13, 15, 17, 21, 27, 31, 35, 39, 41, 43, 49, 51, 63, 83, 89, 91, 93 | ||||
| 0 | 0 | 0 | -2 | 0 | 3, 5, 7, 9, 15, 17, 19, 21, 23, 25, 27, 31, 39, 45, 47, 51, 53, 57, 79, 83, 93 | ||||
| 0 | 0 | 0 | 0 | 0 | 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 51, 53, 55, 57, 63, 65, 69, 73, 75, 85, 87, 89, 91, 93, 95, 97, 99 | ||||
| 0 | 0 | 0 | 1 | 4 | 3, 5, 9, 11, 13, 15, 17, 23, 25, 27, 29, 31, 33, 35, 37, 39, 43, 45, 51, 53, 55, 57, 65, 75, 85, 87, 91, 95 | ||||
| 0 | 0 | 0 | 2 | 0 | 3, 5, 7, 9, 13, 15, 17, 19, 21, 23, 31, 39, 47, 51, 53, 57, 93 | ||||
| 0 | 0 | 0 | 3 | 4 | 3, 5, 7, 9, 13, 15, 17, 21, 25, 27, 31, 35, 39, 43, 49, 51, 59, 63, 71, 89, 91, 93, 95 | ||||
| 0 | 0 | 0 | 5 | 4 | 3, 5, 7, 9, 11, 15, 17, 21, 25, 27, 29, 33, 35, 41, 43, 45, 47, 51, 55, 59, 61, 63, 71, 81, 83, 85, 99 | ||||
| 0 | 0 | 0 | 6 | 0 | 3, 5, 7, 9, 11, 13, 15, 17, 23, 25, 27, 29, 33, 35, 37, 43, 45, 51, 53, 55, 65, 69, 71, 79, 85, 87, 91, 99 | ||||
| 0 | 0 | 1 | -5 | 4 | 3, 29 | ||||
| 0 | 0 | 1 | -4 | 3 | |||||
| 0 | 0 | 1 | -3 | 4 | |||||
| 0 | 0 | 1 | -1 | 4 | |||||
| 0 | 0 | 1 | 1 | 4 | 3 | ||||
| 0 | 0 | 1 | 2 | 3 | |||||
| 0 | 0 | 1 | 3 | 4 | 17 | ||||
| 0 | 0 | 1 | 5 | 4 | |||||
| 0 | 0 | 2 | -2 | 0 | 3 | ||||
| 0 | 0 | 2 | -1 | 4 | 11 | ||||
| 0 | 0 | 2 | 0 | 0 | |||||
| 0 | 0 | 2 | 2 | 0 | |||||
| 0 | 0 | 2 | 3 | 4 | |||||
| 0 | 0 | 3 | 1 | 4 | 3, 9, 27 | ||||
| 0 | 1 | -3 | -3 | 4 | 3, 9 | ||||
| 0 | 1 | -3 | -2 | 3 | 3, 9, 27 | ||||
| 0 | 1 | -3 | 0 | 3 | 3, 9 | ||||
| 0 | 1 | -3 | 1 | 4 | 3, 9, 27 | ||||
| 0 | 1 | -2 | -3 | 4 | 3 | ||||
| 0 | 1 | -2 | -1 | 4 | 3, 11, 17 | ||||
| 0 | 1 | -2 | 1 | 4 | |||||
| 0 | 1 | -2 | 2 | 2 | 3 | ||||
| 0 | 1 | -2 | 3 | 4 | 3 | ||||
| 0 | 1 | -1 | -3 | 4 | 3 | ||||
| 0 | 1 | -1 | -2 | 3 | 21 | ||||
| 0 | 1 | -1 | -1 | 4 | 3, 11, 39 | ||||
| 0 | 1 | -1 | 0 | 3 | 3 | ||||
| 0 | 1 | -1 | 2 | 3 | 3 | ||||
| 0 | 1 | -1 | 4 | 3 | |||||
| 0 | 1 | -1 | 5 | 4 | 3 | ||||
| 0 | 1 | 0 | -2 | 2 | 3, 5, 9, 15, 21, 27, 45, 59, 63, 75, 99 | ||||
| 0 | 1 | 0 | -1 | 4 | 3, 7, 9, 21, 41, 63, 83 | ||||
| 0 | 1 | 0 | 0 | 2 | 3, 9, 11, 13, 97 | ||||
| 0 | 1 | 0 | 1 | 4 | 3, 7, 9, 15, 27, 45, 67, 83 | ||||
| 0 | 1 | 0 | 3 | 4 | 3, 5, 7, 9, 41, 59 | ||||
| 0 | 1 | 0 | 4 | 2 | 3, 7, 9, 27, 47, 89 | ||||
| 0 | 1 | 0 | 7 | 4 | 3, 9, 15, 21, 27, 29, 41, 45, 63 | ||||
| 0 | 1 | 1 | -3 | 4 | 3 | ||||
| 0 | 1 | 1 | -2 | 3 | 21 | ||||
| 0 | 1 | 1 | -1 | 4 | 3, 11, 39 | ||||
| 0 | 1 | 1 | 0 | 3 | 3 | ||||
| 0 | 1 | 1 | 2 | 3 | 3 | ||||
| 0 | 1 | 1 | 4 | 3 | |||||
| 0 | 1 | 1 | 5 | 4 | 3 | ||||
| 0 | 1 | 2 | -3 | 4 | 3 | ||||
| 0 | 1 | 2 | -1 | 4 | 3, 11, 17 | ||||
| 0 | 1 | 2 | 1 | 4 | |||||
| 0 | 1 | 2 | 2 | 2 | 3 | ||||
| 0 | 1 | 2 | 3 | 4 | 3 | ||||
| 0 | 1 | 3 | -3 | 4 | 3, 9 | ||||
| 0 | 1 | 3 | -2 | 3 | 3, 9, 27 | ||||
| 0 | 1 | 3 | 0 | 3 | 3, 9 | ||||
| 0 | 1 | 3 | 1 | 4 | 3, 9, 27 | ||||
| 0 | 2 | -5 | -1 | 4 | 5, 11, 15, 55, 99 | ||||
| 0 | 2 | -4 | 2 | 0 | 89 | ||||
| 0 | 2 | -3 | 1 | 4 | 3, 9 | ||||
| 0 | 2 | -3 | 3 | 4 | 3, 7, 9, 27 | ||||
| 0 | 2 | -2 | 1 | 4 | |||||
| 0 | 2 | -2 | 2 | 0 | |||||
| 0 | 2 | -2 | 5 | 4 | 5 | ||||
| 0 | 2 | -1 | 1 | 4 | |||||
| 0 | 2 | -1 | 2 | 3 | |||||
| 0 | 2 | -1 | 3 | 4 | 3, 9 | ||||
| 0 | 2 | -1 | 5 | 4 | 5, 25, 65 | ||||
| 0 | 2 | -1 | 7 | 4 | 7 | ||||
| 0 | 2 | 0 | 2 | 0 | 3, 5, 9, 11, 15, 17, 29, 37, 45, 51, 53, 85, 87 | ||||
| 0 | 2 | 0 | 3 | 4 | 3, 5, 7, 9, 15, 25, 27, 29, 35, 71 | ||||
| 0 | 2 | 0 | 4 | 0 | 3, 5, 7, 9, 11, 13, 15, 17, 21, 23, 25, 31, 33, 35, 39, 41, 43, 45, 51, 55, 57, 61, 63, 65, 69, 71, 73, 75, 77, 85, 89, 91, 93, 99 | ||||
| 0 | 2 | 0 | 6 | 0 | 3, 9, 27, 97 | ||||
| 0 | 2 | 0 | 7 | 4 | 3, 5, 7, 9, 17, 51, 85 | ||||
| 0 | 2 | 1 | 1 | 4 | |||||
| 0 | 2 | 1 | 2 | 3 | |||||
| 0 | 2 | 1 | 3 | 4 | 3, 9 | ||||
| 0 | 2 | 1 | 5 | 4 | 5, 25, 65 | ||||
| 0 | 2 | 1 | 7 | 4 | 7 | ||||
| 0 | 2 | 2 | 1 | 4 | |||||
| 0 | 2 | 2 | 2 | 0 | |||||
| 0 | 2 | 2 | 5 | 4 | 5 | ||||
| 0 | 2 | 3 | 1 | 4 | 3, 9 | ||||
| 0 | 2 | 3 | 3 | 4 | 3, 9, 27 | ||||
| 0 | 2 | 4 | 2 | 0 | 89 | ||||
| 0 | 2 | 5 | -1 | 4 | 5, 11, 15, 55, 99 | ||||
| 0 | 3 | -2 | 5 | 4 | |||||
| 0 | 3 | -1 | 5 | 4 | |||||
| 0 | 3 | -1 | 8 | 3 | |||||
| 0 | 3 | 0 | 5 | 4 | 3, 7, 9, 11, 15, 17, 23, 27, 29, 33, 37, 39, 43, 45, 51, 53, 55, 63, 67, 79, 81, 87, 91, 99 | ||||
| 0 | 3 | 0 | 6 | 2 | 3, 9, 19, 27 | ||||
| 0 | 3 | 0 | 7 | 4 | 3, 5, 7, 9, 11, 15, 17, 21, 27, 33, 35, 39, 43, 45, 51, 61, 79, 85 | ||||
| 0 | 3 | 0 | 9 | 4 | 3, 5, 9, 11, 15, 27, 55, 59, 99 | ||||
| 0 | 3 | 1 | 5 | 4 | |||||
| 0 | 3 | 1 | 8 | 3 | |||||
| 0 | 3 | 2 | 5 | 4 | |||||
| 0 | 4 | -1 | 9 | 4 | 3 | ||||
| 0 | 4 | 0 | 9 | 4 | 3, 9, 97 | ||||
| 0 | 4 | 0 | 10 | 0 | 3, 7, 9, 27, 47, 89 | ||||
| 0 | 4 | 1 | 9 | 4 | 3 | ||||
| 1 | -3 | -2 | 5 | 4 | |||||
| 1 | -3 | -1 | 7 | 4 | 3, 9 | ||||
| 1 | -2 | -2 | 1 | 4 | 3 | ||||
| 1 | -2 | -2 | 2 | 1 | 3, 5, 9, 15, 17, 45 | ||||
| 1 | -2 | -2 | 3 | 4 | 3, 9, 13, 39 | ||||
| 1 | -2 | -1 | 3 | 4 | 5, 7, 9, 11, 15, 33, 45, 55, 59, 99 | ||||
| 1 | -2 | -1 | 4 | 3 | |||||
| 1 | -2 | 0 | 6 | 1 | 3, 5, 11 | ||||
| 1 | -2 | 0 | 7 | 4 | |||||
| 1 | -1 | -3 | -1 | 4 | 3, 11, 15, 23, 25, 29, 31, 33, 37, 45, 55, 71, 75, 77, 79, 89, 93, 99 | ||||
| 1 | -1 | -2 | -3 | 4 | 3 | ||||
| 1 | -1 | -2 | -1 | 4 | |||||
| 1 | -1 | -2 | 1 | 4 | 5 | ||||
| 1 | -1 | -1 | -1 | 4 | 3, 9, 83 | ||||
| 1 | -1 | -1 | 0 | 3 | 3 | ||||
| 1 | -1 | -1 | 1 | 4 | |||||
| 1 | -1 | -1 | 3 | 4 | 3 | ||||
| 1 | -1 | 0 | 2 | 2 | 3 | ||||
| 1 | -1 | 0 | 3 | 4 | 3, 9, 93 | ||||
| 1 | -1 | 0 | 5 | 4 | 3 | ||||
| 1 | -1 | 1 | 5 | 4 | 17 | ||||
| 1 | -1 | 1 | 7 | 4 | |||||
| 1 | 0 | -3 | -5 | 4 | 3, 9, 27, 81 | ||||
| 1 | 0 | -3 | -4 | 3 | 11 | ||||
| 1 | 0 | -2 | -7 | 4 | 29 | ||||
| 1 | 0 | -2 | -6 | 1 | 3 | ||||
| 1 | 0 | -2 | -5 | 4 | 3, 9 | ||||
| 1 | 0 | -2 | -4 | 1 | |||||
| 1 | 0 | -2 | -3 | 4 | 3 | ||||
| 1 | 0 | -2 | -2 | 1 | 3, 9 | ||||
| 1 | 0 | -2 | -1 | 4 | 7 | ||||
| 1 | 0 | -1 | -5 | 4 | 3, 9 | ||||
| 1 | 0 | -1 | -4 | 3 | 3 | ||||
| 1 | 0 | -1 | -3 | 4 | 5 | ||||
| 1 | 0 | -1 | -2 | 3 | 3, 9, 17 | ||||
| 1 | 0 | -1 | 0 | 3 | |||||
| 1 | 0 | -1 | 1 | 4 | 3, 9 | ||||
| 1 | 0 | 0 | -2 | 1 | 3, 9 | ||||
| 1 | 0 | 0 | -1 | 4 | 7, 35, 49 | ||||
| 1 | 0 | 0 | 1 | 4 | 3, 9 | ||||
| 1 | 0 | 0 | 2 | 1 | 5, 25 | ||||
| 1 | 0 | 0 | 3 | 4 | 11, 33 | ||||
| 1 | 0 | 1 | 1 | 4 | 3, 9 | ||||
| 1 | 0 | 1 | 2 | 3 | |||||
| 1 | 0 | 1 | 4 | 3 | 3, 9 | ||||
| 1 | 0 | 1 | 5 | 4 | |||||
| 1 | 0 | 2 | 4 | 1 | 3, 7, 9, 45 | ||||
| 1 | 0 | 2 | 5 | 4 | 3 | ||||
| 1 | 0 | 2 | 6 | 1 | |||||
| 1 | 0 | 2 | 7 | 4 | 3, 9 | ||||
| 1 | 1 | -4 | -6 | 2 | 7, 9, 47 | ||||
| 1 | 1 | -4 | -5 | 4 | |||||
| 1 | 1 | -3 | -5 | 4 | |||||
| 1 | 1 | -3 | -3 | 4 | 3 | ||||
| 1 | 1 | -2 | -3 | 4 | 3, 9 | ||||
| 1 | 1 | -2 | -2 | 2 | 3 | ||||
| 1 | 1 | -2 | -1 | 4 | 3, 9 | ||||
| 1 | 1 | -1 | -5 | 4 | 11 | ||||
| 1 | 1 | -1 | -3 | 4 | |||||
| 1 | 1 | -1 | -2 | 3 | |||||
| 1 | 1 | -1 | -1 | 4 | 3, 9, 27, 81 | ||||
| 1 | 1 | -1 | 1 | 4 | 5, 25 | ||||
| 1 | 1 | 0 | -5 | 4 | |||||
| 1 | 1 | 0 | -2 | 2 | |||||
| 1 | 1 | 0 | -1 | 4 | |||||
| 1 | 1 | 0 | 0 | 2 | 3 | ||||
| 1 | 1 | 0 | 1 | 4 | 11 | ||||
| 1 | 1 | 0 | 3 | 4 | 3, 31 | ||||
| 1 | 1 | 1 | -3 | 4 | 3, 9, 13, 39 | ||||
| 1 | 1 | 1 | -1 | 4 | 3, 9 | ||||
| 1 | 1 | 1 | 0 | 3 | 3, 7, 9 | ||||
| 1 | 1 | 1 | 1 | 4 | 3 | ||||
| 1 | 1 | 1 | 2 | 3 | 3, 9, 11 | ||||
| 1 | 1 | 1 | 3 | 4 | 3, 9 | ||||
| 1 | 1 | 1 | 4 | 3 | 3 | ||||
| 1 | 1 | 1 | 5 | 4 | 3, 9, 13 | ||||
| 1 | 1 | 2 | 0 | 2 | |||||
| 1 | 1 | 2 | 1 | 4 | |||||
| 1 | 1 | 2 | 3 | 4 | |||||
| 1 | 1 | 2 | 4 | 2 | |||||
| 1 | 1 | 2 | 6 | 2 | |||||
| 1 | 1 | 2 | 7 | 4 | |||||
| 1 | 1 | 3 | 3 | 4 | 3, 63 | ||||
| 1 | 1 | 3 | 5 | 4 | 15 | ||||
| 1 | 1 | 3 | 7 | 4 | |||||
| 1 | 1 | 4 | 5 | 4 | 3, 9, 15 | ||||
| 1 | 2 | -2 | -1 | 4 | |||||
| 1 | 2 | -1 | 1 | 4 | |||||
| 1 | 2 | 0 | -1 | 4 | 3 | ||||
| 1 | 2 | 0 | 1 | 4 | 11 | ||||
| 1 | 2 | 0 | 2 | 1 | 3, 5 | ||||
| 1 | 2 | 0 | 3 | 4 | 3, 9 | ||||
| 1 | 2 | 1 | 2 | 3 | |||||
| 1 | 2 | 1 | 4 | 3 | |||||
| 1 | 2 | 2 | 1 | 4 | |||||
| 1 | 2 | 2 | 3 | 4 | 3 | ||||
| 1 | 2 | 2 | 4 | 1 | |||||
| 1 | 2 | 2 | 5 | 4 | 3, 9, 11, 33 | ||||
| 1 | 2 | 2 | 6 | 1 | 3 | ||||
| 1 | 2 | 2 | 7 | 4 | 5 | ||||
| 1 | 2 | 3 | 1 | 4 | |||||
| 1 | 2 | 3 | 2 | 3 | 3 | ||||
| 1 | 2 | 3 | 4 | 3 | |||||
| 1 | 2 | 3 | 5 | 4 | 3 | ||||
| 1 | 2 | 3 | 8 | 3 | 3, 5 | ||||
| 1 | 2 | 4 | 1 | 4 | 7, 21 | ||||
| 1 | 2 | 4 | 2 | 1 | |||||
| 1 | 2 | 4 | 3 | 4 | 3 | ||||
| 1 | 2 | 4 | 5 | 4 | |||||
| 1 | 2 | 4 | 7 | 4 | |||||
| 1 | 2 | 5 | 4 | 3 | |||||
| 1 | 2 | 5 | 6 | 3 | 3, 19 | ||||
| 1 | 3 | -1 | 3 | 4 | 5 | ||||
| 1 | 3 | 1 | 3 | 4 | 3 | ||||
| 1 | 3 | 1 | 5 | 4 | 35 | ||||
| 1 | 3 | 2 | 6 | 2 | |||||
| 1 | 3 | 2 | 7 | 4 | 3, 9 | ||||
| 1 | 3 | 3 | 5 | 4 | |||||
| 1 | 3 | 3 | 7 | 4 | 3, 5, 9, 27, 81 | ||||
| 1 | 3 | 3 | 8 | 3 | |||||
| 1 | 3 | 3 | 9 | 4 | |||||
| 1 | 3 | 4 | 5 | 4 | |||||
| 1 | 3 | 4 | 6 | 2 | 3 | ||||
| 1 | 3 | 4 | 8 | 2 | 5 | ||||
| 1 | 3 | 5 | 5 | 4 | 3 | ||||
| 1 | 3 | 5 | 6 | 3 | 5 | ||||
| 1 | 3 | 5 | 7 | 4 | 3, 9 | ||||
| 1 | 3 | 6 | 5 | 4 | |||||
| 1 | 4 | 2 | 9 | 4 | 11, 15, 19, 33, 55, 57, 61 | ||||
| 1 | 4 | 4 | 9 | 4 | 3, 9 | ||||
| 1 | 4 | 4 | 11 | 4 | 3, 9 | ||||
| 1 | 4 | 5 | 10 | 3 | |||||
| 1 | 4 | 6 | 9 | 4 | 3 | ||||
| 1 | 5 | 5 | 13 | 4 | |||||
| 2 | -1 | -3 | -1 | 4 | 3 | ||||
| 2 | 0 | -4 | -7 | 4 | |||||
| 2 | 0 | -4 | -6 | 0 | 3 | ||||
| 2 | 0 | -3 | -5 | 4 | 3, 9 | ||||
| 2 | 0 | -3 | -4 | 3 | |||||
| 2 | 0 | -2 | -2 | 0 | 3, 9, 45 | ||||
| 2 | 0 | -1 | 1 | 4 | 3, 9, 39 | ||||
| 2 | 0 | 2 | 9 | 4 | 3 | ||||
| 2 | 1 | -4 | -11 | 4 | 3, 7 | ||||
| 2 | 1 | -4 | -10 | 2 | 3, 9 | ||||
| 2 | 1 | -3 | -9 | 4 | 3 | ||||
| 2 | 1 | -3 | -8 | 3 | 23 | ||||
| 2 | 1 | -3 | -7 | 4 | 9, 11, 33, 99 | ||||
| 2 | 1 | -2 | -6 | 2 | 7 | ||||
| 2 | 1 | -2 | -5 | 4 | 5, 25 | ||||
| 2 | 1 | -2 | -3 | 4 | 9, 13, 47, 91, 93 | ||||
| 2 | 1 | -1 | -3 | 4 | 3, 9, 11, 33 | ||||
| 2 | 1 | -1 | -1 | 4 | 3, 9, 15 | ||||
| 2 | 1 | 0 | 1 | 4 | 15 | ||||
| 2 | 1 | 1 | 3 | 4 | 15 | ||||
| 2 | 1 | 1 | 4 | 3 | |||||
| 2 | 1 | 2 | 5 | 4 | 3, 9 | ||||
| 2 | 1 | 3 | 8 | 3 | |||||
| 2 | 2 | -3 | -7 | 4 | 3 | ||||
| 2 | 2 | -2 | -6 | 0 | 3, 11 | ||||
| 2 | 2 | -2 | -5 | 4 | |||||
| 2 | 2 | -1 | -5 | 4 | |||||
| 2 | 2 | -1 | -3 | 4 | 3 | ||||
| 2 | 2 | 0 | -4 | 0 | 3, 5, 11, 13, 15, 17, 21, 25, 29, 31, 33, 35, 37, 39, 41, 45, 51, 55, 61, 63, 65, 75, 77, 85, 91, 93, 99 | ||||
| 2 | 2 | 0 | -3 | 4 | 3, 9 | ||||
| 2 | 2 | 0 | -2 | 0 | |||||
| 2 | 2 | 0 | -1 | 4 | 3, 11 | ||||
| 2 | 2 | 1 | -1 | 4 | 3, 9, 15 | ||||
| 2 | 2 | 1 | 1 | 4 | 11 | ||||
| 2 | 2 | 2 | 1 | 4 | 5, 13, 97 | ||||
| 2 | 2 | 2 | 2 | 0 | |||||
| 2 | 2 | 2 | 3 | 4 | 3 | ||||
| 2 | 2 | 3 | 4 | 3 | |||||
| 2 | 2 | 3 | 5 | 4 | 3 | ||||
| 2 | 2 | 3 | 7 | 4 | |||||
| 2 | 2 | 4 | 7 | 4 | |||||
| 2 | 2 | 4 | 9 | 4 | 3 | ||||
| 2 | 2 | 5 | 11 | 4 | 5, 11, 15, 25, 31, 33, 45, 55 | ||||
| 2 | 3 | 0 | -1 | 4 | |||||
| 2 | 3 | 1 | 0 | 3 | 11, 55 | ||||
| 2 | 3 | 1 | 1 | 4 | 3, 9 | ||||
| 2 | 3 | 2 | 2 | 2 | |||||
| 2 | 3 | 2 | 3 | 4 | 3, 39 | ||||
| 2 | 3 | 3 | 2 | 3 | |||||
| 2 | 3 | 3 | 3 | 4 | |||||
| 2 | 3 | 3 | 5 | 4 | 5, 7, 25 | ||||
| 2 | 3 | 4 | 3 | 4 | |||||
| 2 | 3 | 4 | 5 | 4 | 3 | ||||
| 2 | 3 | 4 | 6 | 2 | 17 | ||||
| 2 | 3 | 4 | 7 | 4 | 3, 9, 17 | ||||
| 2 | 3 | 5 | 7 | 4 | 3, 9 | ||||
| 2 | 3 | 5 | 8 | 3 | |||||
| 2 | 3 | 5 | 9 | 4 | 3 | ||||
| 2 | 3 | 6 | 11 | 4 | |||||
| 2 | 4 | 3 | 5 | 4 | 9 | ||||
| 2 | 4 | 4 | 6 | 0 | |||||
| 2 | 4 | 4 | 7 | 4 | |||||
| 2 | 4 | 5 | 7 | 4 | 3, 11 | ||||
| 2 | 4 | 5 | 9 | 4 | 3, 9, 13, 39 | ||||
| 2 | 4 | 6 | 9 | 4 | 3 | ||||
| 2 | 4 | 6 | 10 | 0 | |||||
| 2 | 4 | 7 | 9 | 4 | |||||
| 2 | 4 | 7 | 10 | 3 | 11 | ||||
| 2 | 4 | 7 | 11 | 4 | 3, 9, 11, 33 | ||||
| 2 | 4 | 7 | 13 | 4 | |||||
| 2 | 4 | 8 | 10 | 0 | 3 | ||||
| 2 | 4 | 8 | 11 | 4 | 3, 9 | ||||
| 2 | 5 | 6 | 11 | 4 | 3, 73 | ||||
| 2 | 5 | 7 | 13 | 4 | |||||
| 2 | 5 | 8 | 13 | 4 | 13, 97 | ||||
| 2 | 5 | 9 | 14 | 3 | 3 | ||||
| 2 | 5 | 10 | 13 | 4 | 17 | ||||
| 2 | 6 | 9 | 17 | 4 | 11 | ||||
| 3 | 2 | -6 | -15 | 4 | 3, 7, 9, 27 | ||||
| 3 | 2 | -5 | -13 | 4 | |||||
| 3 | 2 | -4 | -10 | 1 | |||||
| 3 | 2 | 0 | 1 | 4 | 3, 5, 7, 9, 11, 15, 25, 31, 33, 45, 55, 75, 93, 99 | ||||
| 3 | 3 | -3 | -11 | 4 | 3, 5, 9, 27 | ||||
| 3 | 3 | -2 | -7 | 4 | |||||
| 3 | 3 | -1 | -5 | 4 | 3, 15, 17, 45 | ||||
| 3 | 3 | 0 | -3 | 4 | 3, 9, 27 | ||||
| 3 | 3 | 1 | 0 | 3 | |||||
| 3 | 3 | 2 | 3 | 4 | |||||
| 3 | 4 | 2 | -1 | 4 | 3 | ||||
| 3 | 4 | 4 | 5 | 4 | 3 | ||||
| 3 | 4 | 6 | 10 | 1 | 3, 9, 27 | ||||
| 3 | 5 | 5 | 5 | 4 | |||||
| 3 | 5 | 6 | 6 | 2 | 3, 9, 13, 27, 97 | ||||
| 3 | 5 | 6 | 7 | 4 | 3, 9 | ||||
| 3 | 5 | 7 | 9 | 4 | 3, 9 | ||||
| 3 | 5 | 7 | 11 | 4 | 17 | ||||
| 3 | 5 | 8 | 13 | 4 | |||||
| 3 | 5 | 9 | 15 | 4 | 3, 9, 27 | ||||
| 3 | 6 | 8 | 11 | 4 | |||||
| 3 | 6 | 9 | 12 | 3 | 3, 9, 27 | ||||
| 3 | 6 | 10 | 14 | 1 | |||||
| 3 | 6 | 10 | 15 | 4 | |||||
| 3 | 6 | 11 | 17 | 4 | |||||
| 3 | 6 | 12 | 19 | 4 | 3, 9, 27 | ||||
| 3 | 7 | 11 | 17 | 4 | 3 | ||||
| 3 | 7 | 12 | 19 | 4 | 3, 9, 27 | ||||
| 3 | 7 | 13 | 19 | 4 | 5 | ||||
| 3 | 7 | 13 | 21 | 4 | 3, 5 | ||||
| 3 | 8 | 14 | 23 | 4 | 11, 99 | ||||
| 4 | 4 | -7 | -21 | 4 | 11, 15, 19, 31, 33, 55, 57, 61, 93 | ||||
| 4 | 5 | -2 | -11 | 4 | 13, 97 | ||||
| 4 | 6 | 4 | 2 | 0 | 7, 89 | ||||
| 4 | 8 | 12 | 17 | 4 | 3, 5, 47, 89, 91, 93 | ||||
| 4 | 9 | 17 | 27 | 4 | |||||
| 4 | 10 | 19 | 29 | 4 | 3, 9 | ||||
| 5 | 12 | 20 | 29 | 4 | 5, 11, 15, 55, 99 | ||||
| 5 | 13 | 25 | 39 | 4 | 5, 11, 15, 19, 31, 33, 55, 57, 61, 85, 93 | ||||