Irrationalities and Conway polynomials

Irrationalities and their p-modular reductions

Common Irrationalities in Characteristic 37

C₁	=	X + 35
C₂	=	X² + 33X + 2
C₃	=	X³ + 6X + 35
C₄	=	X⁴ + 6X² + 24X + 2
C₆	=	X⁶ + 35X³ + 4X² + 30X + 2

ξ	f	C_n
b5	12X + 31	C₂
b5∗	25X + 5	C₂
b7	28	C₁
b7∗∗	8	C₁
b11	13	C₁
b11∗∗	23	C₁
b21	6	C₁
b21∗	30	C₁
b27	5	C₁
b27∗∗	31	C₁
b33	24	C₁
b33∗	12	C₁
c19	29	C₁
c19∗2	14	C₁
c19∗4	30	C₁
c31	29X² + 20X + 17	C₃
c31∗3	24X² + 22X + 34	C₃
c31∗5	21X² + 32X + 22	C₃
c43	9X² + 23X + 11	C₃
c43∗3	14X² + 10X + 31	C₃
c43∗7	14X² + 4X + 31	C₃
c67	16X² + 36X + 2	C₃
c67∗2	3X² + 36X + 24	C₃
c67∗4	18X² + 2X + 10	C₃
e31	19	C₁
e31∗2	4	C₁
e31∗3	17	C₁
e31∗4	27	C₁
e31∗8	6	C₁
i	31	C₁
i3	16	C₁
i11	27	C₁
m20	2X + 36	C₂
m20∗3	2X + 30	C₂
m20∗11	35X + 1	C₂
m20∗13	35X + 7	C₂
m'40	19X³ + 28X² + X + 19	C₄
m'40∗3	17X³ + 2X² + X + 16	C₄
m'40∗9	18X³ + 9X² + 36X + 18	C₄
m'40∗11	34X³ + 17X² + 31X + 34	C₄
m'40∗13	9X³ + 25X² + 31X + 15	C₄
m'40∗19	3X³ + 20X² + 6X + 3	C₄
m'40∗23	20X³ + 35X² + 36X + 21	C₄
m'40∗33	28X³ + 12X² + 6X + 22	C₄
r3	22	C₁
r5	24X + 26	C₂
r6	15X + 7	C₂
r10	26	C₁
y7	3X² + 15X + 24	C₃
y7∗2	19X² + 13X + 14	C₃
y7∗3	15X² + 9X + 35	C₃
y9	23	C₁
y9∗2	9	C₁
y9∗4	5	C₁
y13	X⁵ + 4X⁴ + 32X³ + 26X² + 20X + 22	C₆
y13∗2	5X⁵ + 7X⁴ + 28X³ + 9X² + 35X + 23	C₆
y13∗3	11X⁵ + 36X⁴ + 17X³ + 4X² + 8X + 27	C₆
y13∗4	X⁵ + 35X⁴ + 2X³ + 23X² + 26X + 36	C₆
y13∗5	25X⁵ + 26X⁴ + X³ + 13X² + 13X + 21	C₆
y13∗6	31X⁵ + 3X⁴ + 31X³ + 36X² + 9X + 18	C₆
z3	26	C₁
z3∗∗	10	C₁
z9	16	C₁
z9∗2	34	C₁
z9∗4	9	C₁
z9∗5	33	C₁
z9∗7	12	C₁
z9∗8	7	C₁
z12	8	C₁
z12∗5	23	C₁
z12∗7	29	C₁
z12∗11	14	C₁

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