Irrationalities and their p-modular reductions
Common Irrationalities in Characteristic 29
C1 |
= |
X
+ 27 |
C2 |
= |
X2
+ 24X
+ 2 |
C3 |
= |
X3
+ 2X
+ 27 |
ξ |
f |
Cn |
b5 |
5 |
C1 |
b5∗ |
23 |
C1 |
b7 |
7 |
C1 |
b7∗∗ |
21 |
C1 |
b13 |
9 |
C1 |
b13∗ |
19 |
C1 |
b21 |
22X
+ 17 |
C2 |
b21∗ |
7X
+ 11 |
C2 |
b23 |
10 |
C1 |
b23∗∗ |
18 |
C1 |
b31 |
18X
+ 27 |
C2 |
b31∗∗ |
11X
+ 1 |
C2 |
b33 |
15 |
C1 |
b33∗ |
13 |
C1 |
b39 |
5X
+ 16 |
C2 |
b39∗∗ |
24X
+ 12 |
C2 |
b45 |
16 |
C1 |
b45∗ |
12 |
C1 |
b59 |
20 |
C1 |
b59∗∗ |
8 |
C1 |
b95 |
22X
+ 17 |
C2 |
b95∗∗ |
7X
+ 11 |
C2 |
b117 |
28 |
C1 |
b117∗ |
0 |
C1 |
b119 |
14X
+ 8 |
C2 |
b119∗∗ |
15X
+ 20 |
C2 |
c13 |
4X2
+ 5X
+ 5 |
C3 |
c13∗2 |
17X2
+ 17X
+ 3 |
C3 |
c13∗4 |
8X2
+ 7X
+ 20 |
C3 |
c31 |
22 |
C1 |
c31∗3 |
24 |
C1 |
c31∗5 |
11 |
C1 |
c37 |
26 |
C1 |
c37∗2 |
24 |
C1 |
c37∗3 |
7 |
C1 |
i |
12 |
C1 |
i3 |
28X
+ 17 |
C2 |
i5 |
16 |
C1 |
i6 |
20 |
C1 |
i11 |
9X
+ 21 |
C2 |
i14 |
13X
+ 11 |
C2 |
i26 |
12X
+ 28 |
C2 |
r2 |
26X
+ 22 |
C2 |
r3 |
12X
+ 28 |
C2 |
r5 |
11 |
C1 |
r6 |
21 |
C1 |
r7 |
23 |
C1 |
r13 |
19 |
C1 |
y7 |
7 |
C1 |
y7∗2 |
18 |
C1 |
y7∗3 |
3 |
C1 |
y15 |
14 |
C1 |
y15∗2 |
20 |
C1 |
y15∗4 |
21 |
C1 |
y15∗7 |
4 |
C1 |
y20 |
6X
+ 14 |
C2 |
y20∗3 |
X
+ 12 |
C2 |
y20∗7 |
28X
+ 17 |
C2 |
y20∗9 |
23X
+ 15 |
C2 |
y28 |
17 |
C1 |
y28∗3 |
19 |
C1 |
y28∗5 |
13 |
C1 |
y28∗9 |
16 |
C1 |
y28∗11 |
10 |
C1 |
y28∗13 |
12 |
C1 |
y56 |
19X
+ 25 |
C2 |
y56∗3 |
14X
+ 23 |
C2 |
y56∗5 |
16X
+ 18 |
C2 |
y56∗9 |
20X
+ 8 |
C2 |
y56∗11 |
24X
+ 27 |
C2 |
y56∗13 |
11X
+ 16 |
C2 |
y56∗15 |
18X
+ 13 |
C2 |
y56∗17 |
5X
+ 2 |
C2 |
y56∗19 |
9X
+ 21 |
C2 |
y56∗23 |
13X
+ 11 |
C2 |
y56∗25 |
15X
+ 6 |
C2 |
y56∗27 |
10X
+ 4 |
C2 |
y60 |
22X
+ 3 |
C2 |
y60∗7 |
4X
+ 19 |
C2 |
y60∗11 |
21X
+ 20 |
C2 |
y60∗13 |
2X
+ 24 |
C2 |
y60∗17 |
27X
+ 5 |
C2 |
y60∗19 |
8X
+ 9 |
C2 |
y60∗23 |
25X
+ 10 |
C2 |
y60∗29 |
7X
+ 26 |
C2 |