Irrationalities and their p-modular reductions
Common Irrationalities in Characteristic 23
| C1 |
= |
X
+ 18 |
| C2 |
= |
X2
+ 21X
+ 5 |
| ξ |
f |
Cn |
| b7 |
13 |
C1 |
| b7∗∗ |
9 |
C1 |
| b11 |
18 |
C1 |
| b11∗∗ |
4 |
C1 |
| b13 |
14 |
C1 |
| b13∗ |
8 |
C1 |
| b15 |
16 |
C1 |
| b15∗∗ |
6 |
C1 |
| b21 |
7X
+ 4 |
C2 |
| b21∗ |
16X
+ 18 |
C2 |
| b29 |
17 |
C1 |
| b29∗ |
5 |
C1 |
| b31 |
14X
+ 20 |
C2 |
| b31∗∗ |
9X
+ 2 |
C2 |
| b33 |
13X
+ 21 |
C2 |
| b33∗ |
10X
+ 1 |
C2 |
| b39 |
X
+ 10 |
C2 |
| b39∗∗ |
22X
+ 12 |
C2 |
| b45 |
6X
+ 5 |
C2 |
| b45∗ |
17X
+ 17 |
C2 |
| b71 |
16X
+ 18 |
C2 |
| b71∗∗ |
7X
+ 4 |
C2 |
| b87 |
2X
+ 9 |
C2 |
| b87∗∗ |
21X
+ 13 |
C2 |
| b117 |
20 |
C1 |
| b117∗ |
2 |
C1 |
| c31 |
6 |
C1 |
| c31∗3 |
11 |
C1 |
| c31∗5 |
5 |
C1 |
| c37 |
14 |
C1 |
| c37∗2 |
9 |
C1 |
| c37∗3 |
22 |
C1 |
| i2 |
14X
+ 9 |
C2 |
| i3 |
8X
+ 15 |
C2 |
| i5 |
15 |
C1 |
| i7 |
4 |
C1 |
| i11 |
14 |
C1 |
| i14 |
20 |
C1 |
| i15 |
10 |
C1 |
| i19 |
21 |
C1 |
| i26 |
15X
+ 8 |
C2 |
| i35 |
16X
+ 7 |
C2 |
| r2 |
5 |
C1 |
| r3 |
16 |
C1 |
| r5 |
4X
+ 19 |
C2 |
| r6 |
11 |
C1 |
| r7 |
21X
+ 2 |
C2 |
| r13 |
6 |
C1 |
| r17 |
6X
+ 17 |
C2 |
| y11 |
14 |
C1 |
| y11∗2 |
10 |
C1 |
| y11∗3 |
11 |
C1 |
| y11∗4 |
6 |
C1 |
| y11∗5 |
4 |
C1 |
| y16 |
21X
+ 2 |
C2 |
| y16∗3 |
15X
+ 8 |
C2 |
| y16∗5 |
8X
+ 15 |
C2 |
| y16∗7 |
2X
+ 21 |
C2 |
| y24 |
8 |
C1 |
| y24∗5 |
3 |
C1 |
| y24∗7 |
20 |
C1 |
| y24∗11 |
15 |
C1 |
| y44 |
9X
+ 14 |
C2 |
| y44∗3 |
X
+ 22 |
C2 |
| y44∗5 |
10X
+ 13 |
C2 |
| y44∗7 |
5X
+ 18 |
C2 |
| y44∗9 |
16X
+ 7 |
C2 |
| y44∗13 |
7X
+ 16 |
C2 |
| y44∗15 |
18X
+ 5 |
C2 |
| y44∗17 |
13X
+ 10 |
C2 |
| y44∗19 |
22X
+ 1 |
C2 |
| y44∗21 |
14X
+ 9 |
C2 |
| y48 |
3X
+ 20 |
C2 |
| y48∗5 |
4X
+ 19 |
C2 |
| y48∗7 |
11X
+ 12 |
C2 |
| y48∗11 |
17X
+ 6 |
C2 |
| y48∗13 |
6X
+ 17 |
C2 |
| y48∗17 |
12X
+ 11 |
C2 |
| y48∗19 |
19X
+ 4 |
C2 |
| y48∗23 |
20X
+ 3 |
C2 |