Irrationalities and their p-modular reductions

Common Irrationalities in Characteristic 2

C1  =  X + 1
C2  =  X2 + X + 1
C3  =  X3 + X + 1
C4  =  X4 + X + 1
C5  =  X5 + X2 + 1
C6  =  X6 + X4 + X3 + X + 1
C10  =  X10 + X6 + X5 + X3 + X2 + X + 1
C12  =  X12 + X7 + X6 + X5 + X3 + X + 1
C14  =  X14 + X7 + X5 + X3 + 1
C18  =  X18 + X12 + X10 + X + 1
C36  =  X36 + X23 + X22 + X20 + X19 + X17 + X14 + X13 + X8 + X6 + X5 + X + 1


ξ f Cn
b5 X + 1 C2
b5∗ X C2
b7 0 C1
b7∗∗ 1 C1
b11 X C2
b11∗∗ X + 1 C2
b13 X C2
b13∗ X + 1 C2
b15 1 C1
b15∗∗ 0 C1
b17 1 C1
b17∗ 0 C1
b19 X + 1 C2
b19∗∗ X C2
b21 X + 1 C2
b21∗ X C2
b23 0 C1
b23∗∗ 1 C1
b27 X + 1 C2
b27∗∗ X C2
b29 X + 1 C2
b29∗ X C2
b31 1 C1
b31∗∗ 0 C1
b33 1 C1
b33∗ 0 C1
b35 X + 1 C2
b35∗∗ X C2
b37 X + 1 C2
b37∗ X C2
b39 0 C1
b39∗∗ 1 C1
b45 X C2
b45∗ X + 1 C2
b47 0 C1
b47∗∗ 1 C1
b59 X + 1 C2
b59∗∗ X C2
b71 0 C1
b71∗∗ 1 C1
b87 1 C1
b87∗∗ 0 C1
b95 0 C1
b95∗∗ 1 C1
b117 X + 1 C2
b117∗ X C2
b119 1 C1
b119∗∗ 0 C1
c13 X2 + 1 C3
c13∗2 X2 + X + 1 C3
c13∗4 X + 1 C3
c19 X2 + X + 1 C3
c19∗2 X + 1 C3
c19∗4 X2 + 1 C3
c31 0 C1
c31∗3 1 C1
c31∗5 0 C1
c37 X2 + 1 C3
c37∗2 X2 + X + 1 C3
c37∗3 X + 1 C3
c43 1 C1
c43∗3 0 C1
c43∗7 0 C1
c67 X2 + 1 C3
c67∗2 X2 + X + 1 C3
c67∗4 X + 1 C3
d13 X3 + X + 1 C4
d13∗2 X3 + 1 C4
d13∗4 X3 + X2 + 1 C4
d13∗7 X3 + X2 + X C4
d17 X + 1 C2
d17∗2 X C2
d17∗3 1 C1
d17∗6 1 C1
e31 X4 + 1 C5
e31∗2 X3 + X2 C5
e31∗3 X2 + 1 C5
e31∗4 X4 + X3 + X C5
e31∗8 X + 1 C5
f31 0 C1
f31∗3 1 C1
f31∗5 1 C1
f31∗7 0 C1
f31∗11 1 C1
f31∗15 0 C1
f37 X5 + X4 + X3 + X2 + X + 1 C6
f37∗2 X3 C6
f37∗3 X4 + X3 + X + 1 C6
f37∗5 X5 + X3 + X2 + X + 1 C6
f37∗6 X5 + X3 + 1 C6
f37∗9 X5 + X3 + X + 1 C6
i3 1 C1
i7 1 C1
i11 1 C1
i15 1 C1
i19 1 C1
i35 1 C1
k13 X C2
k13∗2 X + 1 C2
k13∗4 X C2
k13∗7 X + 1 C2
l13 X2 + 1 C3
l13∗2 X2 + X + 1 C3
l13∗3 X2 + X + 1 C3
l13∗4 X + 1 C3
l13∗5 X2 + 1 C3
l13∗6 X + 1 C3
m5 X + 1 C2
m5∗2 X C2
m5∗3 X C2
m5∗4 X + 1 C2
r5 1 C1
r13 1 C1
r17 1 C1
r21 1 C1
s51 1 C1
s51∗5 0 C1
s51∗11 1 C1
s51∗19 1 C1
u63 0 C1
u63∗5 0 C1
u63∗11 1 C1
u63∗13 1 C1
u63∗23 1 C1
u63∗31 1 C1
u'63 X + 1 C2
u'63∗2 X C2
u'63∗5 X + 1 C2
u'63∗10 X C2
u'63∗11 1 C1
u'63∗13 1 C1
v33 1 C1
v33∗2 1 C1
v33∗5 X + 1 C2
v33∗7 X C2
w25 X C5
w25∗2 X2 C5
w25∗3 X4 C5
w25∗6 X3 + X2 + 1 C5
w25∗9 X4 + X3 + X + 1 C5
w41 X4 + X2 C5
w41∗2 X4 + X3 + X2 + 1 C5
w41∗3 X3 + X2 + X C5
w41∗4 X4 + X2 + X C5
w41∗6 X4 + X3 + X2 + X C5
w41∗7 X3 + X C5
w41∗8 X4 + X3 + 1 C5
w41∗11 X3 C5
w41∗12 X4 + X + 1 C5
w41∗16 X2 + X C5
x13 X3 + X + 1 C4
x13∗2 X3 + 1 C4
x13∗4 X3 + X2 + 1 C4
x13∗7 X3 + X2 + X C4
x19 X5 + X4 + X3 + X2 C6
x19∗2 X3 + X2 + 1 C6
x19∗4 X3 + X C6
x19∗5 X5 + X4 + X3 + 1 C6
x19∗8 X4 + X3 + X2 + X + 1 C6
x19∗10 X4 + X3 + X2 C6
x31 X4 + X3 + X2 + X C5
x31∗2 X4 + X + 1 C5
x31∗3 X3 + X + 1 C5
x31∗4 X3 C5
x31∗6 X3 + X2 + X + 1 C5
x31∗8 X3 + X C5
x31∗11 X4 + X C5
x31∗12 X4 + X3 + X2 + X + 1 C5
x31∗16 X3 + X2 + X C5
x31∗17 X3 + 1 C5
x37 X11 + X8 + X7 + X3 C12
x37∗2 X10 + X7 + X6 + X5 + X3 + 1 C12
x37∗3 X11 + X8 + X5 + X2 C12
x37∗5 X11 + X10 + X8 + X6 + X3 + X C12
x37∗6 X9 + X8 + X4 + X2 + 1 C12
x37∗7 X8 + X7 + X + 1 C12
x37∗9 X10 + X6 + X4 + X3 + X2 C12
x37∗11 X5 + X4 + X2 + X + 1 C12
x37∗14 X11 + X10 + X8 + X4 + X3 + 1 C12
x37∗17 X10 + X8 + X4 + X2 + 1 C12
x37∗18 X11 + X10 + X9 + X8 + X7 + X4 + X3 + 1 C12
x37∗21 X11 + X6 + X5 + X2 + X C12
x43 X11 + X10 + X8 + X4 + X3 + X C14
x43∗2 X8 + X7 + X6 + X5 + X4 + X C14
x43∗3 X13 + X9 + X8 + X5 + X2 + X C14
x43∗4 X12 + X10 + X9 + X8 + X3 + 1 C14
x43∗5 X9 + X5 + X3 + X2 + X + 1 C14
x43∗7 X7 + X6 + X5 + X2 + X C14
x43∗9 X13 + X12 + X11 + X10 + X2 + X C14
x43∗10 X11 + X10 + X9 + X7 + X6 + X2 + 1 C14
x43∗13 X11 + X10 + X9 + X7 + X3 + X + 1 C14
x43∗14 X12 + X10 + X7 + X5 + X4 + X3 + X2 + 1 C14
x43∗19 X11 + X10 + X9 + X8 + X7 + X5 + X C14
x43∗20 X12 + X11 + X5 + X4 + X3 + X C14
x43∗21 X11 + X10 + X8 + X3 + X2 C14
x43∗26 X11 + X6 + X5 + X3 + X2 + X C14
x57 X4 + X3 + X2 + X C6
x57∗2 X5 + X4 + X3 C6
x57∗4 X4 + X3 + X2 + 1 C6
x57∗5 X4 + X + 1 C6
x57∗8 X5 + X4 + X3 + X2 + 1 C6
x57∗10 X5 + X4 + X C6
x57∗11 X C6
x57∗16 X3 + X2 C6
x57∗22 X2 C6
x57∗23 X4 C6
x57∗29 X3 + X + 1 C6
x57∗31 X5 + X4 + X2 + X + 1 C6
x63 1 C1
x63∗2 1 C1
x63∗5 1 C1
x63∗10 1 C1
x63∗11 X + 1 C2
x63∗13 X + 1 C2
x63∗22 X C2
x63∗23 X C2
x63∗26 X C2
x63∗31 X C2
x63∗43 X + 1 C2
x63∗47 X + 1 C2
x73 X2 + X C3
x73∗2 X C3
x73∗3 X2 + X C3
x73∗4 X2 C3
x73∗5 X2 + X + 1 C3
x73∗6 X C3
x73∗7 X + 1 C3
x73∗9 0 C1
x73∗11 X2 + X + 1 C3
x73∗12 X2 C3
x73∗13 X2 + X C3
x73∗14 X2 + 1 C3
x73∗17 X C3
x73∗18 0 C1
x73∗21 X + 1 C3
x73∗25 1 C1
x73∗26 X C3
x73∗27 1 C1
x73∗33 X2 + X C3
x73∗34 X2 C3
x73∗35 1 C1
x73∗36 0 C1
x73∗42 X2 + 1 C3
x73∗43 X2 C3
x91 X11 + X8 + X5 + X3 + X + 1 C12
x91∗2 X9 + X8 + X6 C12
x91∗3 X11 + X10 + X9 + X6 + X4 + X3 + X2 + X + 1 C12
x91∗4 X10 + X8 + X7 + X5 + X2 + X C12
x91∗5 X10 + X8 + X7 + X6 + X4 + X3 + X2 + X + 1 C12
x91∗6 X11 + X10 + X8 + X7 + X6 + X4 + X2 C12
x91∗8 X10 + X9 + X8 + X5 + X3 + X C12
x91∗10 X9 + X7 C12
x91∗12 X11 + X9 + X8 + X6 + X5 + X4 C12
x91∗15 X10 + X9 + X7 + X4 + X3 + X2 + X + 1 C12
x91∗16 X11 + X10 + X9 + X8 + X5 + X3 + X + 1 C12
x91∗19 X11 + X3 + X + 1 C12
x91∗20 X11 + X6 + X4 + 1 C12
x91∗23 X11 + X10 + X9 + X7 + X6 + X4 + X2 + X C12
x91∗24 X11 + X8 + X4 + X + 1 C12
x91∗29 X10 + X9 + X8 + X6 + X5 + X4 + X2 C12
x91∗30 X10 + X9 + X8 + X5 + X2 + X C12
x91∗37 X11 + X10 + X9 + X8 + X6 + X5 + X4 + X3 + X + 1 C12
x91∗38 X11 + X8 + X7 + X6 + X5 + X4 C12
x91∗40 X11 + X6 + X4 + X3 + X2 + X + 1 C12
x91∗46 X11 + X10 + X9 + X5 + X4 + X3 + 1 C12
x91∗47 X8 + X6 + X C12
x91∗48 X10 + X9 C12
x91∗57 X11 + X10 + X9 + X7 + X4 + X2 C12
x171 X14 + X11 + X8 + X5 + X4 + X + 1 C18
x171∗2 X16 + X14 + X12 + X11 + X8 + X3 + 1 C18
x171∗4 X16 + X15 + X14 + X12 + X11 + X9 + X8 + X6 + X C18
x171∗5 X14 + X13 + X12 + X11 + X10 + X9 + X6 + X5 + X4 + X3 + X C18
x171∗8 X16 + X15 + X13 + X12 + X11 + X9 + X8 + X7 + X6 + X5 + X4 + X2 + X + 1 C18
x171∗10 X16 + X14 + X12 + X11 + X10 + X9 + X7 + X3 + X + 1 C18
x171∗11 X16 + X15 + X14 + X8 + X4 C18
x171∗13 X16 + X13 + X12 + X8 + X4 + X2 C18
x171∗16 X15 + X13 + X10 + X8 + X7 + X6 + X4 + X2 + 1 C18
x171∗17 X15 + X14 + X13 + X10 + X9 + X8 + X6 + X5 + X3 + X2 C18
x171∗20 X15 + X14 + X12 + X11 + X10 + X9 + X8 + X6 + X3 + 1 C18
x171∗22 X16 + X15 + X14 + X13 + X11 + X9 + X + 1 C18
x171∗23 X15 + X14 + X13 + X9 + X7 + X6 + X5 + X4 + X3 + X2 + X C18
x171∗29 X16 + X13 + X9 + X7 + X6 + X5 + 1 C18
x171∗31 X16 + X14 + X13 + X12 + X11 + X10 + X9 + X7 + X4 + X2 + X + 1 C18
x171∗34 X14 + X13 + X11 + X10 + X9 + X8 + X7 + X4 + X3 + X2 + X + 1 C18
x171∗37 X15 + X14 + X13 + X12 + X11 + X10 + X8 + X7 + X5 + X4 + X3 + X + 1 C18
x171∗40 X14 + X13 + X12 + X11 + X6 + X5 + X4 + X C18
x171∗41 X15 + X14 + X13 + X9 + X8 + X7 + X6 + X5 + X4 + 1 C18
x171∗43 X13 + X10 + X9 + X7 + X5 + X3 + X2 C18
x171∗44 X16 + X15 + X14 + X13 + X12 + X11 + X5 + X4 + X3 + X C18
x171∗47 X16 + X12 + X11 + X9 + X7 + X6 + X2 C18
x171∗58 X16 + X15 + X12 + X10 + X7 + X6 + 1 C18
x171∗59 X16 + X15 + X13 + X12 + X11 + X9 + X7 + X6 + X5 + X4 + X3 C18
x171∗61 X14 + X13 + X12 + X11 + X10 + X9 + X7 + X6 + X C18
x171∗62 X15 + X12 + X11 + X8 + X4 + X2 + X C18
x171∗65 X15 + X13 + X5 + X4 + X3 + X2 C18
x171∗68 X16 + X12 + X11 + X10 + X9 + X6 + X4 + X3 + 1 C18
x171∗73 X15 + X9 + X8 + X6 + X5 + X4 + X3 + 1 C18
x171∗86 X14 + X10 + X9 + X8 + X6 + X4 C18
x171∗94 X16 + X15 + X9 + X8 + X5 + X3 + X2 C18
x171∗97 X16 + X15 + X12 + X9 + X6 + X5 + X4 + 1 C18
x171∗115 X16 + X15 + X14 + X12 + X11 + X10 + X8 + X7 + X6 + X5 + X4 + X C18
x171∗118 X16 + X15 + X13 + X10 + X8 + X7 C18
x171∗122 X16 + X12 + X11 + X9 + X8 + X7 + X6 + X3 + X + 1 C18
x171∗143 X16 + X14 + X13 + X10 + X8 + X7 + X5 + X4 + 1 C18
x'63 X + 1 C6
x'63∗2 X2 + 1 C6
x'63∗4 X4 + 1 C6
x'63∗5 X5 + X4 + X + 1 C6
x'63∗8 X5 + X4 + X2 + X C6
x'63∗10 X + 1 C6
x'63∗16 X4 + X C6
x'63∗17 X5 + X4 + X2 + X C6
x'63∗19 X4 + X C6
x'63∗20 X2 + 1 C6
x'63∗29 X5 + X4 + X + 1 C6
x'63∗40 X4 + 1 C6
x'333 X35 + X33 + X32 + X29 + X28 + X26 + X24 + X23 + X22 + X20 + X19 + X18 + X16 + X13 + X11 + X10 + X5 + X4 + X3 C36
x'333∗2 X35 + X34 + X32 + X30 + X29 + X25 + X21 + X20 + X19 + X18 + X17 + X13 + X12 + X11 + X9 + X5 + X2 + 1 C36
x'333∗4 X33 + X29 + X27 + X24 + X21 + X18 + X17 + X16 + X15 + X14 + X13 + X9 + X7 + X6 + X4 + X3 C36
x'333∗5 X35 + X32 + X29 + X28 + X27 + X24 + X22 + X19 + X16 + X11 + X10 + X9 + X8 + X7 + X2 + X + 1 C36
x'333∗7 X34 + X32 + X31 + X28 + X27 + X25 + X23 + X21 + X20 + X17 + X15 + X14 + X12 + X11 + X10 + X8 + X6 + X5 + X3 C36
x'333∗8 X34 + X32 + X31 + X28 + X26 + X25 + X23 + X21 + X17 + X15 + X9 + X8 + X7 + X6 + X5 + X4 + 1 C36
x'333∗10 X29 + X27 + X24 + X23 + X19 + X18 + X16 + X11 + X9 + X8 + X4 + X3 + X2 + 1 C36
x'333∗11 X29 + X28 + X25 + X22 + X18 + X17 + X16 + X15 + X12 + X9 + X8 + X7 + X4 + X3 + X2 C36
x'333∗13 X35 + X33 + X30 + X27 + X20 + X19 + X18 + X17 + X16 + X15 + X12 + X10 + X9 + X8 + X6 + X5 + X4 + X + 1 C36
x'333∗14 X35 + X34 + X33 + X32 + X31 + X28 + X27 + X26 + X23 + X22 + X21 + X18 + X16 + X15 + X13 + X9 + X7 + X5 + X3 + X2 + X + 1 C36
x'333∗16 X35 + X34 + X30 + X29 + X28 + X26 + X24 + X23 + X21 + X19 + X18 + X17 + X16 + X14 + X13 + X10 + X9 + X8 + X5 + X4 + X + 1 C36
x'333∗17 X35 + X31 + X30 + X28 + X27 + X26 + X23 + X21 + X20 + X17 + X15 + X13 + X11 + X10 + X8 + X7 + X5 + X3 C36
x'333∗19 X35 + X33 + X32 + X23 + X22 + X21 + X18 + X17 + X16 + X13 + X12 + X9 + X + 1 C36
x'333∗20 X35 + X34 + X33 + X32 + X30 + X22 + X21 + X15 + X12 + X11 + X10 + X9 + X8 + X6 + X5 + X4 + X3 + X2 + X + 1 C36
x'333∗22 X35 + X34 + X30 + X28 + X27 + X22 + X21 + X19 + X18 + X17 + X16 + X15 + X13 + X11 + X10 + X8 + X7 + X6 + X5 + X + 1 C36
x'333∗23 X32 + X31 + X27 + X26 + X25 + X20 + X19 + X13 + X12 + X11 + X7 + X5 + X4 + X3 + X2 + 1 C36
x'333∗25 X34 + X33 + X31 + X28 + X26 + X25 + X24 + X22 + X21 + X20 + X19 + X18 + X17 + X14 + X10 + X8 + X7 + X5 + X3 + X2 + X + 1 C36
x'333∗26 X35 + X31 + X28 + X27 + X26 + X24 + X20 + X17 + X16 + X15 + X12 + X11 + X6 + X5 + X4 + X3 + X2 + X C36
x'333∗31 X35 + X34 + X33 + X32 + X31 + X30 + X29 + X26 + X24 + X23 + X21 + X20 + X19 + X18 + X16 + X14 + X12 + X11 + X10 + X8 + X5 + X2 C36
x'333∗32 X29 + X28 + X26 + X25 + X24 + X23 + X21 + X18 + X15 + X13 + X11 + X10 + X5 + X3 + X2 C36
x'333∗34 X35 + X33 + X31 + X30 + X29 + X26 + X23 + X21 + X20 + X18 + X17 + X15 + X14 + X13 + X11 + X9 + X6 + X4 + X2 + 1 C36
x'333∗35 X35 + X32 + X31 + X30 + X29 + X25 + X24 + X23 + X19 + X16 + X12 + X11 + X7 + X4 + X3 + X + 1 C36
x'333∗38 X32 + X31 + X30 + X25 + X24 + X23 + X22 + X19 + X18 + X17 + X16 + X15 + X13 + X10 + X9 + X7 + X4 + X3 + X2 + X C36
x'333∗40 X34 + X31 + X30 + X29 + X25 + X24 + X21 + X20 + X19 + X18 + X16 + X15 + X13 + X10 + X9 + X8 + X7 + X6 + X5 + X3 + X2 + X C36
x'333∗41 X35 + X34 + X33 + X32 + X30 + X28 + X27 + X25 + X24 + X23 + X22 + X17 + X16 + X15 + X13 + X12 + X10 + X9 + X7 + X6 + X4 + X3 + X + 1 C36
x'333∗43 X33 + X32 + X25 + X24 + X22 + X20 + X19 + X17 + X16 + X14 + X10 + X7 + 1 C36
x'333∗44 X34 + X31 + X28 + X27 + X25 + X20 + X18 + X11 + X9 + X8 + X4 + X3 + X C36
x'333∗46 X33 + X32 + X31 + X30 + X27 + X26 + X24 + X22 + X21 + X19 + X15 + X13 + X11 + X10 + X9 + X8 + X6 + X C36
x'333∗49 X35 + X34 + X33 + X32 + X31 + X29 + X28 + X27 + X23 + X22 + X18 + X17 + X16 + X15 + X14 + X11 + X6 + X5 + X4 + 1 C36
x'333∗50 X35 + X31 + X28 + X26 + X25 + X24 + X21 + X12 + X11 + X8 + X6 + X2 + X + 1 C36
x'333∗52 X32 + X30 + X29 + X27 + X26 + X25 + X24 + X23 + X22 + X21 + X17 + X14 + X13 + X12 + X9 + X5 + X3 + X + 1 C36
x'333∗53 X34 + X30 + X28 + X25 + X23 + X22 + X21 + X17 + X15 + X13 + X8 + X7 + X6 + X5 + X2 + X + 1 C36
x'333∗55 X33 + X32 + X31 + X30 + X29 + X28 + X25 + X23 + X20 + X18 + X17 + X13 + X12 + X11 + X8 + X5 + X4 + X3 + X2 + X C36
x'333∗62 X35 + X32 + X27 + X26 + X23 + X16 + X12 + X11 + X7 + X4 + X + 1 C36
x'333∗64 X35 + X34 + X32 + X28 + X27 + X25 + X22 + X20 + X17 + X16 + X15 + X7 + X6 + X4 + X2 C36
x'333∗65 X35 + X33 + X30 + X20 + X19 + X18 + X17 + X16 + X13 + X12 + X11 + X9 + X8 + X7 + X6 + X5 + X4 + X2 + 1 C36
x'333∗67 X34 + X33 + X31 + X30 + X27 + X25 + X20 + X19 + X17 + X14 + X10 + X8 + X5 + X4 + X2 + X C36
x'333∗68 X32 + X31 + X30 + X29 + X24 + X23 + X22 + X20 + X17 + X13 + X12 + X9 + X8 + X7 + X6 + X4 + X3 + X + 1 C36
x'333∗70 X35 + X34 + X33 + X32 + X30 + X29 + X28 + X27 + X26 + X25 + X18 + X13 + X12 + X10 + X9 + X8 + X5 + X4 + X3 + X2 + 1 C36
x'333∗71 X35 + X33 + X32 + X29 + X28 + X27 + X23 + X22 + X15 + X12 + X8 + X7 + X6 + X4 + X3 + X2 C36
x'333∗73 X34 + X29 + X26 + X25 + X24 + X23 + X22 + X19 + X17 + X15 + X14 + X10 + X6 + X5 + X3 + X C36
x'333∗76 X35 + X34 + X33 + X32 + X28 + X26 + X25 + X22 + X18 + X15 + X13 + X12 + X11 + X10 + X6 + X4 + X + 1 C36
x'333∗77 X35 + X33 + X28 + X27 + X26 + X22 + X20 + X19 + X11 + X10 + X8 + X6 + X3 + X + 1 C36
x'333∗79 X32 + X30 + X27 + X23 + X22 + X21 + X20 + X19 + X15 + X13 + X10 + X8 + X6 + X5 + X4 C36
x'333∗82 X34 + X33 + X30 + X28 + X24 + X23 + X21 + X17 + X16 + X13 + X11 + X10 + X9 + X8 + X5 + X3 + X2 + X + 1 C36
x'333∗92 X32 + X31 + X30 + X29 + X28 + X27 + X25 + X24 + X23 + X21 + X20 + X19 + X17 + X16 + X15 + X13 + X12 + X10 + X5 + X4 + X3 + X + 1 C36
x'333∗95 X33 + X32 + X30 + X27 + X26 + X23 + X20 + X19 + X18 + X17 + X13 + X9 + X8 + X6 + X5 + X2 + X C36
x'333∗98 X32 + X31 + X30 + X27 + X26 + X20 + X19 + X18 + X17 + X16 + X12 + X11 + X4 + X2 + X + 1 C36
x'333∗100 X35 + X33 + X32 + X28 + X27 + X26 + X22 + X20 + X13 + X10 + X9 + X8 + X5 + X2 + 1 C36
x'333∗101 X32 + X31 + X28 + X25 + X24 + X23 + X22 + X21 + X20 + X19 + X18 + X17 + X13 + X12 + X11 + X9 + X8 + X7 + X6 + X4 + X2 + 1 C36
x'333∗103 X33 + X30 + X29 + X28 + X27 + X25 + X23 + X22 + X20 + X18 + X13 + X12 + X11 + X10 + X9 + X2 + X + 1 C36
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