Irrationalities and Conway polynomials

Irrationalities and their p-modular reductions

Common Irrationalities in Characteristic 3

C₁	=	X + 1
C₂	=	X² + 2X + 2
C₃	=	X³ + 2X + 1
C₄	=	X⁴ + 2X³ + 2
C₅	=	X⁵ + 2X + 1
C₆	=	X⁶ + 2X⁴ + X² + 2X + 2
C₈	=	X⁸ + 2X⁵ + X⁴ + 2X² + 2X + 2
C₁₀	=	X¹⁰ + 2X⁶ + 2X⁵ + 2X⁴ + X + 2
C₁₄	=	X¹⁴ + 2X⁹ + X⁸ + X⁷ + 2X⁶ + X⁵ + 2X³ + X² + 2
C₁₅	=	X¹⁵ + 2X⁸ + X⁵ + 2X² + X + 1
C₁₆	=	X¹⁶ + 2X⁷ + 2X⁶ + 2X⁴ + 2X³ + 2X² + X + 2
C₂₀	=	X²⁰ + 2X¹³ + X¹¹ + X¹⁰ + X⁹ + X⁸ + 2X⁵ + 2X⁴ + 2X³ + X + 2

ξ	f	C_n
b5	2X	C₂
b5∗	X + 2	C₂
b7	2X	C₂
b7∗∗	X + 2	C₂
b11	2	C₁
b11∗∗	0	C₁
b13	0	C₁
b13∗	2	C₁
b17	X + 2	C₂
b17∗	2X	C₂
b19	2X	C₂
b19∗∗	X + 2	C₂
b23	2	C₁
b23∗∗	0	C₁
b29	X + 2	C₂
b29∗	2X	C₂
b31	X + 2	C₂
b31∗∗	2X	C₂
b35	2	C₁
b35∗∗	0	C₁
b37	0	C₁
b37∗	2	C₁
b45	1	C₁
b45∗	1	C₁
b47	0	C₁
b47∗∗	2	C₁
b59	2	C₁
b59∗∗	0	C₁
b71	2	C₁
b71∗∗	0	C₁
b95	2	C₁
b95∗∗	0	C₁
b117	1	C₁
b117∗	1	C₁
b119	0	C₁
b119∗∗	2	C₁
c13	X² + 2X + 2	C₃
c13∗2	X² + 1	C₃
c13∗4	X² + X + 2	C₃
c19	X² + 2X	C₃
c19∗2	X² + 2	C₃
c19∗4	X² + X	C₃
c31	X² + 1	C₃
c31∗3	X² + X + 2	C₃
c31∗5	X² + 2X + 2	C₃
c37	X² + X	C₃
c37∗2	X² + 2	C₃
c37∗3	X² + 2X	C₃
c43	X²	C₃
c43∗3	X² + X + 1	C₃
c43∗7	X² + 2X + 1	C₃
c67	2	C₁
c67∗2	1	C₁
c67∗4	2	C₁
d13	2	C₁
d13∗2	2	C₁
d13∗4	1	C₁
d13∗7	0	C₁
d17	X³ + 2X² + 2	C₄
d17∗2	X³ + 1	C₄
d17∗3	X + 1	C₄
d17∗6	X³ + X² + 2X + 1	C₄
e31	X⁴ + 2X³ + 2X + 2	C₅
e31∗2	2X³ + 2X + 1	C₅
e31∗3	2X⁴ + X² + 2X	C₅
e31∗4	X⁴ + X³ + 2X² + X + 2	C₅
e31∗8	2X⁴ + X³ + 2X	C₅
f31	X⁵	C₆
f31∗3	2X⁵ + X³ + 2X² + 2X + 1	C₆
f31∗5	X⁵ + X³ + X + 2	C₆
f31∗7	X³ + X² + X + 2	C₆
f31∗11	2X⁴ + X³ + 2X	C₆
f31∗15	2X⁵ + X⁴ + 2X³	C₆
f37	X	C₃
f37∗2	X² + 2X + 1	C₃
f37∗3	X + 2	C₃
f37∗5	X² + X + 1	C₃
f37∗6	X²	C₃
f37∗9	X + 1	C₃
i	X + 1	C₂
i2	1	C₁
i5	2	C₁
i7	X + 1	C₂
i8	2	C₁
i10	X + 1	C₂
i11	2	C₁
i14	1	C₁
i19	X + 1	C₂
i26	1	C₁
i35	2	C₁
k13	1	C₁
k13∗2	2	C₁
k13∗4	2	C₁
k13∗7	1	C₁
k56	0	C₁
k56∗3	0	C₁
k56∗5	2X + 2	C₂
k56∗15	X + 1	C₂
k'52	2X + 2	C₂
k'52∗3	X + 1	C₂
k'52∗5	X + 1	C₂
k'52∗15	2X + 2	C₂
l13	2X² + 2X	C₃
l13∗2	X² + 2X	C₃
l13∗3	2X² + X	C₃
l13∗4	2X² + 1	C₃
l13∗5	X² + X	C₃
l13∗6	X² + 2	C₃
m5	2X³ + 2X + 2	C₄
m5∗2	2X³ + X² + 2X + 1	C₄
m5∗3	X³ + 2X² + X + 2	C₄
m5∗4	X³ + X + 1	C₄
m16	2X² + 1	C₄
m16∗3	2X³ + 2X² + 2X	C₄
m16∗9	X² + 2	C₄
m16∗11	X³ + X² + X	C₄
m20	X + 2	C₂
m20∗3	2X	C₂
m20∗11	2X + 1	C₂
m20∗13	X	C₂
m'40	2X² + 1	C₄
m'40∗3	2X³ + 2X² + 2X	C₄
m'40∗9	X² + 2	C₄
m'40∗11	X³ + X + 1	C₄
m'40∗13	X³ + 2X² + X + 2	C₄
m'40∗19	2X³ + 2X + 2	C₄
m'40∗23	X³ + X² + X	C₄
m'40∗33	2X³ + X² + 2X + 1	C₄
r2	2X + 2	C₂
r5	X + 1	C₂
r7	1	C₁
r10	1	C₁
r11	X + 1	C₂
r13	1	C₁
r14	2X + 2	C₂
r17	2X + 2	C₂
u28	1	C₁
u56	1	C₁
u56∗5	0	C₁
u56∗11	0	C₁
u56∗29	2	C₁
u''52	2X + 2	C₂
u''52∗3	X + 1	C₂
u''52∗5	X + 1	C₂
u''52∗15	2X + 2	C₂
w40	1	C₁
w40∗7	2	C₁
w40∗11	0	C₁
w40∗13	0	C₁
w41	X + 2	C₂
w41∗2	1	C₁
w41∗3	2X	C₂
w41∗4	X + 1	C₂
w41∗6	1	C₁
w41∗7	2X + 2	C₂
w41∗8	X	C₂
w41∗11	2X + 1	C₂
w41∗12	2X + 2	C₂
w41∗16	X + 1	C₂
w80	1	C₁
w80∗7	2	C₁
w80∗11	1	C₁
w80∗13	0	C₁
w80∗17	2	C₁
w80∗23	1	C₁
w80∗41	2	C₁
w80∗53	0	C₁
w'40	2X + 1	C₂
w'40∗3	X	C₂
w'40∗7	2X	C₂
w'40∗17	X + 2	C₂
w'80	X	C₂
w'80∗3	2X + 1	C₂
w'80∗7	X	C₂
w'80∗11	2X	C₂
w'80∗13	2X	C₂
w'80∗17	2X + 1	C₂
w'80∗31	X + 2	C₂
w'80∗33	X + 2	C₂
x13	2	C₁
x13∗2	2	C₁
x13∗4	1	C₁
x13∗7	0	C₁
x19	X⁴ + X³ + 2X² + 2X + 1	C₆
x19∗2	2X⁵ + X⁴ + X³ + X	C₆
x19∗4	2X⁴ + 2X³ + 2	C₆
x19∗5	X⁵ + X³ + 2X + 1	C₆
x19∗8	X⁵ + X⁴ + X³ + X² + X + 2	C₆
x19∗10	2X⁵ + X⁴ + 2	C₆
x28	2X + 1	C₂
x28∗3	X	C₂
x28∗5	2X	C₂
x28∗11	X + 2	C₂
x31	2X⁹ + 2X⁷ + 2X⁶ + X⁵ + 2X⁴ + X³ + X + 1	C₁₀
x31∗2	2X⁸ + 2X⁵ + X⁴ + 2X³ + X² + 2X + 1	C₁₀
x31∗3	2X⁹ + X⁸ + X⁷ + X⁶ + 2X² + 1	C₁₀
x31∗4	2X⁹ + X⁸ + X⁷ + X⁶ + 2X⁴ + 2X³ + 2X² + X + 2	C₁₀
x31∗6	X⁸ + 2X⁷ + X⁶ + 2X⁵ + X³ + X² + 2X	C₁₀
x31∗8	X⁹ + 2X⁴ + X³ + X²	C₁₀
x31∗11	X⁹ + X⁸ + 2X⁷ + 2X⁶ + 2X⁵ + 2X⁴ + 2X + 1	C₁₀
x31∗12	2X⁸ + 2X⁷ + 2X⁶ + 2X⁴ + 1	C₁₀
x31∗16	2X⁷ + X⁶ + X⁴ + 2X³ + X + 1	C₁₀
x31∗17	X⁹ + X⁸ + 2X⁶ + 2X⁵ + 2X²	C₁₀
x37	X⁴ + X² + X	C₆
x37∗2	X⁵ + X⁴ + X² + 2X + 2	C₆
x37∗3	2X⁵ + 2X⁴ + 2X + 1	C₆
x37∗5	2X⁵ + 2X³ + 2X² + X + 1	C₆
x37∗6	X⁵ + 2X⁴ + 2X³ + 2X² + X + 1	C₆
x37∗7	X	C₆
x37∗9	2X⁵ + 2X⁴ + 2X³	C₆
x37∗11	2X⁵ + X⁴ + 2X² + 2X + 2	C₆
x37∗14	2X⁵ + 2X⁴ + X² + 2X + 1	C₆
x37∗17	X⁴ + 2X³ + 2X² + X + 2	C₆
x37∗18	X² + 2X + 1	C₆
x37∗21	X³	C₆
x43	X¹³ + 2X¹¹ + X⁸ + 2X⁷ + X⁶ + X⁵ + 2X⁴ + 2X³ + 2X² + X + 2	C₁₄
x43∗2	2X¹³ + 2X¹² + 2X¹¹ + 2X⁹ + 2X⁵	C₁₄
x43∗3	2X¹³ + X¹² + 2X¹¹ + X¹⁰ + X⁹ + X⁷ + X⁵ + X⁴ + 2X² + 2	C₁₄
x43∗4	2X¹³ + 2X¹⁰ + 2X⁹ + X⁸ + 2X⁷ + X⁵ + X³ + 2X² + X + 2	C₁₄
x43∗5	2X¹² + 2X¹¹ + 2X⁹ + 2X⁸ + X⁷ + X⁶ + X⁴ + X³ + 1	C₁₄
x43∗7	X¹³ + X¹² + 2X¹¹ + X¹⁰ + X⁹ + 2X⁸ + 2X⁷ + 2X⁶ + X⁴ + X³ + X² + 2X + 1	C₁₄
x43∗9	2X¹³ + X¹⁰ + X⁹ + 2X⁸ + 2X⁶ + 2X⁴ + X + 2	C₁₄
x43∗10	2X¹³ + 2X¹² + X¹¹ + 2X¹⁰ + 2X⁸ + X⁷ + X⁵ + X⁴ + X³ + X² + 2X + 2	C₁₄
x43∗13	X¹³ + 2X¹² + 2X⁹ + X⁷ + 2X⁶ + X⁵ + X⁴ + X³ + X² + 2X + 1	C₁₄
x43∗14	X¹¹ + 2X¹⁰ + 2X⁸ + 2X⁶ + 2X⁵ + 2X³ + 2X² + X + 1	C₁₄
x43∗19	X¹³ + X¹¹ + X⁸ + 2X⁷ + 2X⁵ + X⁴ + 1	C₁₄
x43∗20	2X¹³ + X¹² + 2X¹⁰ + 2X⁹ + 2X⁶ + 2X⁵ + 2X⁴ + X² + 1	C₁₄
x43∗21	2X¹³ + 2X¹¹ + X¹⁰ + X⁹ + 2X⁸ + X⁷ + X⁶ + X³ + X² + X + 1	C₁₄
x43∗26	X¹² + X⁹ + 2X⁷ + 2X⁶ + 2X⁵ + 2X³ + 2X² + X	C₁₄
x73	X³ + X + 2	C₄
x73∗2	2X² + X + 1	C₄
x73∗3	2X³ + X² + 2X + 2	C₄
x73∗4	X² + X + 1	C₄
x73∗5	2X³ + X	C₄
x73∗6	2X² + 2X	C₄
x73∗7	2X³ + X² + 1	C₄
x73∗9	2X³ + 2X	C₄
x73∗11	2X² + X	C₄
x73∗12	2X³ + X² + X + 2	C₄
x73∗13	2X³ + X² + 2	C₄
x73∗14	2X	C₄
x73∗17	2X³ + 2	C₄
x73∗18	X³ + 2X² + 2X + 2	C₄
x73∗21	2X + 2	C₄
x73∗25	2X³ + X + 1	C₄
x73∗26	X³ + 2X² + 2X + 1	C₄
x73∗27	X³ + 2X² + X	C₄
x73∗33	2X² + 2X + 2	C₄
x73∗34	2X³ + 2X² + X	C₄
x73∗35	X² + 2X	C₄
x73∗36	X³ + 2X	C₄
x73∗42	2X³	C₄
x73∗43	2X³ + 2X² + X + 2	C₄
x91	0	C₁
x91∗2	X + 1	C₂
x91∗3	0	C₁
x91∗4	1	C₁
x91∗5	X + 1	C₂
x91∗6	2X + 2	C₂
x91∗8	X	C₂
x91∗10	X + 1	C₂
x91∗12	1	C₁
x91∗15	2X + 2	C₂
x91∗16	1	C₁
x91∗19	2X	C₂
x91∗20	2	C₁
x91∗23	X	C₂
x91∗24	2X + 1	C₂
x91∗29	2X	C₂
x91∗30	2X + 2	C₂
x91∗37	2	C₁
x91∗38	2X + 1	C₂
x91∗40	X + 2	C₂
x91∗46	X + 2	C₂
x91∗47	2X	C₂
x91∗48	1	C₁
x91∗57	X + 2	C₂
y5	2X	C₂
y5∗	X + 2	C₂
y7	X² + 2X + 1	C₃
y7∗2	X² + X + 1	C₃
y7∗3	X²	C₃
y11	2X⁴ + 2X² + X	C₅
y11∗2	2X⁴ + 2X	C₅
y11∗3	2X⁴ + X² + X	C₅
y11∗4	X⁴ + 2X³ + X² + 2X + 2	C₅
y11∗5	2X⁴ + X³ + 2X²	C₅
y13	2X + 1	C₃
y13∗2	X² + X + 2	C₃
y13∗3	2X + 2	C₃
y13∗4	2X	C₃
y13∗5	X² + 1	C₃
y13∗6	X² + 2X + 2	C₃
y16	2X³ + X² + 2X + 1	C₄
y16∗3	2X³ + 2X + 2	C₄
y16∗5	X³ + X + 1	C₄
y16∗7	X³ + 2X² + X + 2	C₄
y17	X⁷ + X⁶ + X⁵ + X⁴ + 2X³ + X² + X	C₈
y17∗2	2X⁷ + X⁵ + 1	C₈
y17∗3	2X⁷ + X⁶ + 2X⁵ + 2X⁴ + 2X³ + 2X² + 2	C₈
y17∗4	X⁷ + X⁵ + X⁴ + 2X³ + 2X² + 2X	C₈
y17∗5	2X⁷ + X⁵ + 2X⁴ + 2X³ + 2	C₈
y17∗6	2X⁷ + 2X⁵ + 2X⁴ + 2X³ + X² + X + 2	C₈
y17∗7	X⁷ + 2X⁵ + X + 1	C₈
y17∗8	X⁷ + X⁶ + 2X⁵ + X⁴ + 2X³ + X	C₈
y20	X² + 2	C₄
y20∗3	X³ + X² + X	C₄
y20∗7	2X³ + 2X² + 2X	C₄
y20∗9	2X² + 1	C₄
y25	2X⁹ + 2X⁸ + X⁷ + X⁶ + X⁵ + X² + 2X + 2	C₁₀
y25∗2	2X⁹ + X⁸ + X⁶ + 2X⁵ + 2X⁴ + 2X³ + X² + 2X + 2	C₁₀
y25∗3	2X⁷ + X⁵ + 2X⁴ + X² + X + 2	C₁₀
y25∗4	X⁹ + 2X⁸ + X⁷ + X⁶ + 2X⁵ + X³ + X	C₁₀
y25∗6	X⁸ + X⁷ + 2X⁶ + 2X⁵ + X³ + X² + X + 1	C₁₀
y25∗7	2X⁹ + X⁷ + 2X⁶ + 2X⁵ + X⁴ + X³ + X² + X + 1	C₁₀
y25∗8	X⁸ + 2X⁶ + 2X⁵ + X² + 1	C₁₀
y25∗9	2X⁹ + X⁸ + 2X⁵ + 2X³ + X² + X + 1	C₁₀
y25∗11	X⁹ + 2X⁶ + 2X⁵ + 2X³ + X + 2	C₁₀
y25∗12	2X⁹ + X⁸ + X⁶ + 2X⁵ + X⁴ + 2X² + 2X	C₁₀
y28	2X² + X	C₃
y28∗3	2X² + 1	C₃
y28∗5	X² + X	C₃
y28∗9	2X² + 2X	C₃
y28∗11	X² + 2	C₃
y28∗13	X² + 2X	C₃
y31	X¹³ + 2X¹² + 2X¹¹ + 2X¹⁰ + 2X⁹ + X⁸ + X⁵ + 2X⁴ + X³ + 2X² + 2X + 1	C₁₅
y31∗2	2X¹⁴ + X¹³ + X¹² + X⁸ + 2X⁶ + 2X⁴ + 2X³	C₁₅
y31∗3	2X¹⁴ + 2X¹³ + X¹¹ + 2X¹⁰ + X⁹ + X⁷ + X⁶ + X + 2	C₁₅
y31∗4	2X¹³ + 2X¹¹ + X⁶ + X⁵ + 2X⁴ + X	C₁₅
y31∗5	X¹² + X¹¹ + X¹⁰ + 2X⁸ + 2X⁶ + 2X⁵ + 2X⁴ + X³ + X + 2	C₁₅
y31∗6	2X¹⁴ + 2X¹² + 2X⁹ + 2X⁸ + X⁷ + X⁶ + X⁴ + X³	C₁₅
y31∗7	2X¹⁴ + 2X¹² + X¹¹ + X⁷ + 2X⁶ + X⁴ + 2X³ + 2X + 1	C₁₅
y31∗8	2X¹⁴ + X¹³ + 2X¹² + X¹¹ + 2X¹⁰ + X⁹ + 2X⁸ + 2X⁷ + X⁶ + 2X⁴ + 2X² + 1	C₁₅
y31∗9	2X¹³ + 2X¹¹ + X⁸ + 2X⁶ + X² + 1	C₁₅
y31∗10	X¹² + X¹¹ + 2X⁷ + X⁶ + X⁵ + X⁴ + 2X³ + 2X² + 1	C₁₅
y31∗11	2X¹⁴ + X¹² + 2X¹⁰ + 2X⁹ + X⁸ + 2X⁶ + 2X⁵ + X⁴ + 2X³ + 2X + 1	C₁₅
y31∗12	X¹⁴ + 2X¹³ + 2X¹² + X⁹ + 2X⁸ + X⁷ + 2X⁵ + 2X⁴ + 2X² + 1	C₁₅
y31∗13	X¹¹ + X¹⁰ + X⁹ + 2X⁸ + X⁶ + X⁴ + 2X³ + X	C₁₅
y31∗14	2X¹³ + X¹² + 2X¹¹ + X⁹ + X⁸ + X⁶ + X³ + X² + 1	C₁₅
y31∗15	2X¹⁴ + 2X¹³ + X¹¹ + 2X¹⁰ + X⁹ + X⁷ + X⁶ + X⁴ + X³ + 2X² + 2X + 2	C₁₅
y32	2X⁶ + 2X⁵ + X²	C₈
y32∗3	X⁷ + 2X⁶ + 2X⁵ + 2X⁴ + X³ + 2X + 1	C₈
y32∗5	X⁶ + 2X² + 2X	C₈
y32∗7	2X⁷ + X⁴ + X³ + 2X² + 2	C₈
y32∗9	X⁷ + 2X⁴ + 2X³ + X² + 1	C₈
y32∗11	2X⁶ + X² + X	C₈
y32∗13	2X⁷ + X⁶ + X⁵ + X⁴ + 2X³ + X + 2	C₈
y32∗15	X⁶ + X⁵ + 2X²	C₈
y40	2X² + 2X	C₄
y40∗3	X³ + 2X² + 2X + 2	C₄
y40∗7	X² + 2X + 2	C₄
y40∗9	2X³ + X + 1	C₄
y40∗11	X³ + 2X + 2	C₄
y40∗13	2X² + X + 1	C₄
y40∗17	2X³ + X² + X + 1	C₄
y40∗19	X² + X	C₄
y41	2X	C₄
y41∗2	X² + 1	C₄
y41∗3	2X³	C₄
y41∗4	X³ + 2X²	C₄
y41∗5	X³ + 2	C₄
y41∗6	X³ + X² + X + 2	C₄
y41∗7	2X² + X	C₄
y41∗8	X² + 2X + 1	C₄
y41∗9	2X³ + 2X² + X	C₄
y41∗10	2X³ + X² + X	C₄
y41∗11	X³ + 2X + 1	C₄
y41∗12	X + 2	C₄
y41∗13	2X³ + 2X² + 2X + 2	C₄
y41∗14	2X³ + X² + 2	C₄
y41∗15	X³ + X² + 2X + 2	C₄
y41∗16	2X³ + X	C₄
y41∗17	X² + X + 2	C₄
y41∗18	2X²	C₄
y41∗19	X³ + 2X² + 2X + 1	C₄
y41∗20	2X² + 2X + 2	C₄
y44	2X⁹ + 2X⁸ + 2X⁷ + 2X⁶ + X⁵ + X⁴ + 2X + 1	C₁₀
y44∗3	2X⁷ + 2X⁵ + X⁴ + 2X³ + 2X + 1	C₁₀
y44∗5	X⁹ + 2X⁸ + 2X⁷ + 2X⁶ + 2X⁵ + X⁴ + 2X³ + X + 2	C₁₀
y44∗7	2X⁸ + X⁶ + X³ + 2X² + 1	C₁₀
y44∗9	2X⁹ + 2X⁶ + 2X⁵ + X⁴ + X³ + 2X² + X + 1	C₁₀
y44∗13	X⁹ + X⁶ + X⁵ + 2X⁴ + 2X³ + X² + 2X + 2	C₁₀
y44∗15	X⁸ + 2X⁶ + 2X³ + X² + 2	C₁₀
y44∗17	2X⁹ + X⁸ + X⁷ + X⁶ + X⁵ + 2X⁴ + X³ + 2X + 1	C₁₀
y44∗19	X⁷ + X⁵ + 2X⁴ + X³ + X + 2	C₁₀
y44∗21	X⁹ + X⁸ + X⁷ + X⁶ + 2X⁵ + 2X⁴ + X + 2	C₁₀
y52	X⁵ + 2X⁴ + X² + 2X	C₆
y52∗3	X³ + 2X + 2	C₆
y52∗5	X⁴ + X³ + X² + 2X	C₆
y52∗7	X⁵ + 2X⁴ + 2X³ + X² + 1	C₆
y52∗9	X⁴ + 2X³ + X² + X + 2	C₆
y52∗11	X⁵ + 2X³ + 2X² + 2	C₆
y52∗15	2X⁵ + X³ + X² + 1	C₆
y52∗17	2X⁴ + X³ + 2X² + 2X + 1	C₆
y52∗19	2X⁵ + X⁴ + X³ + 2X² + 2	C₆
y52∗21	2X⁴ + 2X³ + 2X² + X	C₆
y52∗23	2X³ + X + 1	C₆
y52∗25	2X⁵ + X⁴ + 2X² + X	C₆
y56	X⁵ + 2X⁴ + X³ + X² + X + 2	C₆
y56∗3	X⁴ + X² + 1	C₆
y56∗5	2X⁵ + 2X⁴ + X³	C₆
y56∗9	2X⁵ + 2X⁴ + 2X³ + 2X + 2	C₆
y56∗11	X⁵ + X⁴ + 2X + 2	C₆
y56∗13	X⁵ + 2X² + 2X + 1	C₆
y56∗15	2X⁵ + X² + X + 2	C₆
y56∗17	2X⁵ + 2X⁴ + X + 1	C₆
y56∗19	X⁵ + X⁴ + X³ + X + 1	C₆
y56∗23	X⁵ + X⁴ + 2X³	C₆
y56∗25	2X⁴ + 2X² + 2	C₆
y56∗27	2X⁵ + X⁴ + 2X³ + 2X² + 2X + 1	C₆
y64	X¹⁵ + 2X¹³ + X¹¹ + X⁹ + 2X⁸ + 2X⁷ + X⁵ + X² + 2X + 1	C₁₆
y64∗3	2X¹⁵ + X¹⁴ + X¹³ + X¹² + 2X¹¹ + 2X⁸ + X⁷ + 2X⁵ + 2X⁴ + 2X²	C₁₆
y64∗5	2X¹² + X⁹ + 2X⁸ + X⁶ + X⁵ + 2X² + 2X	C₁₆
y64∗7	X¹³ + X¹¹ + X⁴ + X³ + X² + 2	C₁₆
y64∗9	X¹³ + X¹⁰ + X⁹ + 2X⁸ + X⁶ + X⁴ + 2X³ + 2X² + 2X + 1	C₁₆
y64∗11	X¹⁵ + 2X¹⁴ + 2X¹² + X¹¹ + 2X¹⁰ + 2X⁵ + X⁴ + 2X³ + 2X	C₁₆
y64∗13	2X¹⁵ + X¹³ + X¹² + 2X¹¹ + 2X¹⁰ + X⁹ + X⁷ + 2X⁶ + X⁴ + 2X³ + X² + X	C₁₆
y64∗15	2X¹⁵ + 2X¹⁴ + X¹¹ + 2X⁹ + X⁸ + X⁷ + 2X⁶ + 2X⁵ + X⁴ + 2X³ + X² + 2	C₁₆
y64∗17	X¹⁵ + X¹⁴ + 2X¹¹ + X⁹ + 2X⁸ + 2X⁷ + X⁶ + X⁵ + 2X⁴ + X³ + 2X² + 1	C₁₆
y64∗19	X¹⁵ + 2X¹³ + 2X¹² + X¹¹ + X¹⁰ + 2X⁹ + 2X⁷ + X⁶ + 2X⁴ + X³ + 2X² + 2X	C₁₆
y64∗21	2X¹⁵ + X¹⁴ + X¹² + 2X¹¹ + X¹⁰ + X⁵ + 2X⁴ + X³ + X	C₁₆
y64∗23	2X¹³ + 2X¹⁰ + 2X⁹ + X⁸ + 2X⁶ + 2X⁴ + X³ + X² + X + 2	C₁₆
y64∗25	2X¹³ + 2X¹¹ + 2X⁴ + 2X³ + 2X² + 1	C₁₆
y64∗27	X¹² + 2X⁹ + X⁸ + 2X⁶ + 2X⁵ + X² + X	C₁₆
y64∗29	X¹⁵ + 2X¹⁴ + 2X¹³ + 2X¹² + X¹¹ + X⁸ + 2X⁷ + X⁵ + X⁴ + X²	C₁₆
y64∗31	2X¹⁵ + X¹³ + 2X¹¹ + 2X⁹ + X⁸ + X⁷ + 2X⁵ + 2X² + X + 2	C₁₆
y80	X³ + 2X² + X	C₄
y80∗3	X³ + X + 2	C₄
y80∗7	2X + 2	C₄
y80∗9	2X³ + X² + 2X + 2	C₄
y80∗11	X³ + 2X² + 2	C₄
y80∗13	X³ + X	C₄
y80∗17	2X³ + 2X² + X + 2	C₄
y80∗19	X³ + 1	C₄
y80∗21	2X³ + 2	C₄
y80∗23	X³ + X² + 2X + 1	C₄
y80∗27	2X³ + 2X	C₄
y80∗29	2X³ + X² + 1	C₄
y80∗31	X³ + 2X² + X + 1	C₄
y80∗33	X + 1	C₄
y80∗37	2X³ + 2X + 1	C₄
y80∗39	2X³ + X² + 2X	C₄
y100	X¹⁸ + X¹⁷ + 2X¹⁶ + X¹⁵ + 2X¹⁴ + X¹³ + 2X⁹ + 2X⁵ + 2X⁴ + X² + 2	C₂₀
y100∗3	X¹⁹ + 2X¹⁸ + X¹⁷ + X¹⁶ + 2X¹⁵ + X¹⁴ + 2X¹⁰ + 2X⁹ + 2X⁸ + 2X⁷ + 2X³ + X	C₂₀
y100∗7	2X¹⁸ + X¹⁶ + X¹⁵ + X¹⁴ + X¹³ + 2X¹² + 2X¹⁰ + 2X⁹ + X⁸ + 2X⁷ + X⁶ + X⁵ + 2X³ + X² + 2X + 1	C₂₀
y100∗9	2X¹⁹ + 2X¹⁸ + X¹⁷ + X¹⁶ + 2X¹⁵ + X¹⁴ + 2X¹³ + X¹¹ + X¹⁰ + 2X⁹ + X⁷ + 2X⁵ + X⁴ + X³ + X² + 2X	C₂₀
y100∗11	2X¹⁹ + X¹⁸ + X¹⁷ + 2X¹² + X¹¹ + X⁹ + 2X⁸ + 2X⁷ + 2X⁶ + 2X⁵ + 2X⁴ + 2X³ + 2X² + 2X + 1	C₂₀
y100∗13	X¹⁹ + 2X¹⁷ + 2X¹⁵ + 2X¹⁴ + 2X¹³ + 2X¹¹ + 2X¹⁰ + 2X⁸ + X⁶ + X⁵ + X² + X + 1	C₂₀
y100∗17	X¹⁹ + X¹⁸ + 2X¹⁶ + X¹⁵ + 2X¹⁴ + X¹³ + X¹² + 2X¹¹ + X⁹ + X⁸ + 2X⁷ + 2X⁶ + X⁴ + X³ + 2X + 2	C₂₀
y100∗19	2X¹⁹ + 2X¹⁸ + X¹⁷ + X¹⁶ + X¹⁵ + 2X¹⁴ + X¹³ + X¹² + X¹¹ + X⁹ + X⁷ + X⁶ + X⁵ + X + 2	C₂₀
y100∗21	2X¹⁹ + X¹⁶ + X¹² + X¹¹ + X¹⁰ + 2X⁸ + 2X⁷ + X⁶ + X⁵ + X⁴ + 2X²	C₂₀
y100∗23	2X¹⁹ + 2X¹⁸ + X¹⁷ + X¹⁶ + 2X¹³ + X¹² + 2X¹⁰ + 2X⁹ + X⁷ + 2X⁵ + 2X⁴ + 2X³ + 2X²	C₂₀
y100∗27	X¹⁹ + X¹⁸ + 2X¹⁷ + 2X¹⁶ + X¹³ + 2X¹² + X¹⁰ + X⁹ + 2X⁷ + X⁵ + X⁴ + X³ + X²	C₂₀
y100∗29	X¹⁹ + 2X¹⁶ + 2X¹² + 2X¹¹ + 2X¹⁰ + X⁸ + X⁷ + 2X⁶ + 2X⁵ + 2X⁴ + X²	C₂₀
y100∗31	X¹⁹ + X¹⁸ + 2X¹⁷ + 2X¹⁶ + 2X¹⁵ + X¹⁴ + 2X¹³ + 2X¹² + 2X¹¹ + 2X⁹ + 2X⁷ + 2X⁶ + 2X⁵ + 2X + 1	C₂₀
y100∗33	2X¹⁹ + 2X¹⁸ + X¹⁶ + 2X¹⁵ + X¹⁴ + 2X¹³ + 2X¹² + X¹¹ + 2X⁹ + 2X⁸ + X⁷ + X⁶ + 2X⁴ + 2X³ + X + 1	C₂₀
y100∗37	2X¹⁹ + X¹⁷ + X¹⁵ + X¹⁴ + X¹³ + X¹¹ + X¹⁰ + X⁸ + 2X⁶ + 2X⁵ + 2X² + 2X + 2	C₂₀
y100∗39	X¹⁹ + 2X¹⁸ + 2X¹⁷ + X¹² + 2X¹¹ + 2X⁹ + X⁸ + X⁷ + X⁶ + X⁵ + X⁴ + X³ + X² + X + 2	C₂₀
y100∗41	X¹⁹ + X¹⁸ + 2X¹⁷ + 2X¹⁶ + X¹⁵ + 2X¹⁴ + X¹³ + 2X¹¹ + 2X¹⁰ + X⁹ + 2X⁷ + X⁵ + 2X⁴ + 2X³ + 2X² + X	C₂₀
y100∗43	X¹⁸ + 2X¹⁶ + 2X¹⁵ + 2X¹⁴ + 2X¹³ + X¹² + X¹⁰ + X⁹ + 2X⁸ + X⁷ + 2X⁶ + 2X⁵ + X³ + 2X² + X + 2	C₂₀
y100∗47	2X¹⁹ + X¹⁸ + 2X¹⁷ + 2X¹⁶ + X¹⁵ + 2X¹⁴ + X¹⁰ + X⁹ + X⁸ + X⁷ + X³ + 2X	C₂₀
y100∗49	2X¹⁸ + 2X¹⁷ + X¹⁶ + 2X¹⁵ + X¹⁴ + 2X¹³ + X⁹ + X⁵ + X⁴ + 2X² + 1	C₂₀
y160	2X⁷ + 2X⁵ + X⁴ + X³ + 2X² + 2X + 2	C₈
y160∗3	X⁷ + 2X⁶ + 2X⁴ + X³ + 1	C₈
y160∗7	X⁷ + 2X⁶ + X⁵ + 2X⁴ + X³ + X + 1	C₈
y160∗9	X³ + 2X² + X	C₈
y160∗11	2X⁷ + X⁶ + X⁴ + X³ + X² + 2X + 2	C₈
y160∗13	X⁷ + X⁶ + X⁵ + 2X⁴ + 2X³ + 1	C₈
y160∗17	X⁶ + 2X⁵ + 2X³	C₈
y160∗19	X⁷ + 2X⁴ + X³ + 2X² + 2X + 1	C₈
y160∗21	2X⁷ + X⁴ + 2X + 2	C₈
y160∗23	2X⁶ + 2X⁵ + 2X³ + 2X² + 2X	C₈
y160∗27	2X⁵ + 2X³ + X² + X	C₈
y160∗29	2X⁷ + 2X⁶ + X⁵ + X⁴ + X³ + 2X + 2	C₈
y160∗31	2X⁷ + X⁵ + X⁴ + 2X³ + X² + 2X + 2	C₈
y160∗33	X⁵ + X	C₈
y160∗37	X⁷ + 2X⁶ + 2X⁵ + 2X⁴ + 2X³ + 2X² + 1	C₈
y160∗39	2X⁷ + 2X⁶ + X⁵ + X⁴ + 2X³ + 2X² + 2	C₈
y160∗41	X⁷ + X⁶ + 2X⁵ + 2X⁴ + X³ + X² + 1	C₈
y160∗43	2X⁷ + X⁶ + X⁵ + X⁴ + X³ + X² + 2	C₈
y160∗47	2X⁵ + 2X	C₈
y160∗49	X⁷ + 2X⁵ + 2X⁴ + X³ + 2X² + X + 1	C₈
y160∗51	X⁷ + X⁶ + 2X⁵ + 2X⁴ + 2X³ + X + 1	C₈
y160∗53	X⁵ + X³ + 2X² + 2X	C₈
y160∗57	X⁶ + X⁵ + X³ + X² + X	C₈
y160∗59	X⁷ + 2X⁴ + X + 1	C₈
y160∗61	2X⁷ + X⁴ + 2X³ + X² + X + 2	C₈
y160∗63	2X⁶ + X⁵ + X³	C₈
y160∗67	2X⁷ + 2X⁶ + 2X⁵ + X⁴ + X³ + 2	C₈
y160∗69	X⁷ + 2X⁶ + 2X⁴ + 2X³ + 2X² + X + 1	C₈
y160∗71	2X³ + X² + 2X	C₈
y160∗73	2X⁷ + X⁶ + 2X⁵ + X⁴ + 2X³ + 2X + 2	C₈
y160∗77	2X⁷ + X⁶ + X⁴ + 2X³ + 2	C₈
y160∗79	X⁷ + X⁵ + 2X⁴ + 2X³ + X² + X + 1	C₈
y164	X⁶ + 2X³ + X	C₈
y164∗3	X⁶ + 2X⁵ + X³ + X² + 2X	C₈
y164∗5	X⁷ + 2X⁶ + X⁵ + 2X⁴ + 2X³ + 2X² + 2X + 1	C₈
y164∗7	X⁶ + 2X⁵ + 2X² + X	C₈
y164∗9	X⁷ + X⁶ + 2X⁴ + 2X² + 1	C₈
y164∗11	2X⁵ + X³ + 2X²	C₈
y164∗13	X⁷ + 2X⁵ + 2X⁴ + 2X³ + X² + 2X + 1	C₈
y164∗15	2X⁷ + 2X⁵ + X⁴ + 2X³ + X² + 2	C₈
y164∗17	2X⁷ + 2X⁶ + X⁵ + X⁴ + X² + X + 2	C₈
y164∗19	X⁷ + X⁶ + X⁵ + 2X⁴ + 2X² + X + 1	C₈
y164∗21	X⁷ + X⁶ + X⁵ + 2X⁴ + X³ + X² + 2X + 1	C₈
y164∗23	X⁷ + 2X⁶ + X⁵ + 2X⁴ + X² + 1	C₈
y164∗25	X⁷ + X⁶ + 2X⁴ + 2X³ + 2X + 1	C₈
y164∗27	2X⁶ + 2X³ + 2X²	C₈
y164∗29	X⁷ + X⁵ + 2X⁴ + 2X + 1	C₈
y164∗31	X⁷ + 2X⁶ + 2X⁴ + X² + 2X + 1	C₈
y164∗33	X⁷ + 2X⁵ + 2X⁴ + 1	C₈
y164∗35	X⁶ + X⁵ + 2X³ + 2X	C₈
y164∗37	2X⁷ + X⁶ + X⁵ + X⁴ + 2X² + 2X + 2	C₈
y164∗39	X⁷ + X⁶ + 2X⁴ + X³ + X² + X + 1	C₈
y164∗43	2X⁷ + 2X⁶ + X⁴ + 2X³ + 2X² + 2X + 2	C₈
y164∗45	X⁷ + 2X⁶ + 2X⁵ + 2X⁴ + X² + X + 1	C₈
y164∗47	2X⁶ + 2X⁵ + X³ + X	C₈
y164∗49	2X⁷ + X⁵ + X⁴ + 2	C₈
y164∗51	2X⁷ + X⁶ + X⁴ + 2X² + X + 2	C₈
y164∗53	2X⁷ + 2X⁵ + X⁴ + X + 2	C₈
y164∗55	X⁶ + X³ + X²	C₈
y164∗57	2X⁷ + 2X⁶ + X⁴ + X³ + X + 2	C₈
y164∗59	2X⁷ + X⁶ + 2X⁵ + X⁴ + 2X² + 2	C₈
y164∗61	2X⁷ + 2X⁶ + 2X⁵ + X⁴ + 2X³ + 2X² + X + 2	C₈
y164∗63	2X⁷ + 2X⁶ + 2X⁵ + X⁴ + X² + 2X + 2	C₈
y164∗65	X⁷ + X⁶ + 2X⁵ + 2X⁴ + 2X² + 2X + 1	C₈
y164∗67	X⁷ + X⁵ + 2X⁴ + X³ + 2X² + 1	C₈
y164∗69	2X⁷ + X⁵ + X⁴ + X³ + 2X² + X + 2	C₈
y164∗71	X⁵ + 2X³ + X²	C₈
y164∗73	2X⁷ + 2X⁶ + X⁴ + X² + 2	C₈
y164∗75	2X⁶ + X⁵ + X² + 2X	C₈
y164∗77	2X⁷ + X⁶ + 2X⁵ + X⁴ + X³ + X² + X + 2	C₈
y164∗79	2X⁶ + X⁵ + 2X³ + 2X² + X	C₈
y164∗81	2X⁶ + X³ + 2X	C₈
y'40	2	C₁
y'40∗3	2	C₁
y'40∗7	1	C₁
y'40∗11	2X + 2	C₂
y'40∗13	2X + 2	C₂
y'40∗17	X + 1	C₂
y'40∗21	1	C₁
y'40∗31	X + 1	C₂
y'80	2X + 1	C₂
y'80∗3	X	C₂
y'80∗7	X + 2	C₂
y'80∗11	2	C₁
y'80∗13	X + 1	C₂
y'80∗17	1	C₁
y'80∗21	2X	C₂
y'80∗23	2X + 1	C₂
y'80∗31	2X + 2	C₂
y'80∗33	2	C₁
y'80∗41	X + 2	C₂
y'80∗43	2X	C₂
y'80∗51	1	C₁
y'80∗53	2X + 2	C₂
y'80∗61	X	C₂
y'80∗71	X + 1	C₂
y''40	2X³ + 2X² + X + 2	C₄
y''40∗3	2X³ + X² + 1	C₄
y''40∗7	X³ + 1	C₄
y''40∗9	2X + 2	C₄
y''40∗11	X³ + X² + 2X + 1	C₄
y''40∗19	X + 1	C₄
y''40∗23	X³ + 2X² + 2	C₄
y''40∗27	2X³ + 2	C₄
y''80	X³ + X + 2	C₄
y''80∗3	2X³ + X² + 2X + 2	C₄
y''80∗7	X³ + 2X² + 1	C₄
y''80∗9	2X³ + 2X	C₄
y''80∗11	2X	C₄
y''80∗13	X³ + 2X² + X + 1	C₄
y''80∗19	2X³ + 2X² + X	C₄
y''80∗21	X	C₄
y''80∗23	2X³	C₄
y''80∗27	X³ + 2X² + X	C₄
y''80∗29	X³ + X² + 2X	C₄
y''80∗31	2X³ + 2X + 1	C₄
y''80∗37	2X³ + X² + 2X	C₄
y''80∗39	X³ + X	C₄
y''80∗47	2X³ + X² + 2	C₄
y''80∗63	X³	C₄
z5	2X² + X + 2	C₄
z5∗2	2X³ + X + 2	C₄
z5∗3	2X² + 2X + 1	C₄
z5∗4	X³ + 2X² + 2X	C₄
z7	X⁵ + 2X³ + 2	C₆
z7∗2	2X⁵ + X⁴ + X³ + 2X	C₆
z7∗3	2X⁵ + 2X⁴ + X³ + X² + X	C₆
z7∗4	X⁵ + 2X⁴ + X³ + 2X² + 2X + 2	C₆
z7∗5	2X⁴ + X³ + X + 2	C₆
z7∗6	2X⁴ + 2	C₆
z8	X	C₂
z8∗3	2X + 1	C₂
z8∗5	2X	C₂
z8∗7	X + 2	C₂

File created automatically by GAP on 20-Oct-2010.