Irrationalities and their p-modular reductions

Common Irrationalities in Characteristic 41

C1  =  X + 35
C2  =  X2 + 38X + 6
C4  =  X4 + 23X + 6
C5  =  X5 + 40X2 + 14X + 35
C15  =  X15 + 29X6 + 16X5 + 2X4 + 35X3 + 10X2 + 21X + 35


ξ f Cn
b5 6 C1
b5∗ 34 C1
b13 12X + 2 C2
b13∗ 29X + 38 C2
b23 15 C1
b23∗∗ 25 C1
b31 28 C1
b31∗∗ 12 C1
b39 8 C1
b39∗∗ 32 C1
b59 24 C1
b59∗∗ 16 C1
b71 17X + 15 C2
b71∗∗ 24X + 25 C2
b87 23 C1
b87∗∗ 17 C1
b95 26X + 22 C2
b95∗∗ 15X + 18 C2
i 32 C1
i2 30 C1
i5 6 C1
i11 19X + 33 C2
i14 X + 19 C2
i26 23X + 27 C2
m5 14 C1
m5∗2 2 C1
m5∗3 39 C1
m5∗4 27 C1
m16 4X + 35 C2
m16∗3 18X + 14 C2
m16∗9 37X + 6 C2
m16∗11 23X + 27 C2
r2 24 C1
r3 27X + 21 C2
r5 13 C1
r7 26X + 2 C2
u''52 3X3 + 15X2 + 17X + 21 C4
u''52∗3 38X3 + 26X2 + 24X + 20 C4
u''52∗5 26X3 + 4X2 + 15X + 18 C4
u''52∗15 15X3 + 37X2 + 26X + 23 C4
w25 38X4 + 39X3 + 22X2 + 2X + 25 C5
w25∗2 X4 + 5X3 + 11X2 + 30X C5
w25∗3 32X4 + 8X3 + 39X2 + 37X + 1 C5
w25∗6 3X4 + 14X3 + 39X2 + X + 17 C5
w25∗9 8X4 + 16X3 + 12X2 + 12X + 39 C5
y16 39X + 3 C2
y16∗3 36X + 28 C2
y16∗5 5X + 13 C2
y16∗7 2X + 38 C2
y20 3 C1
y20∗3 18 C1
y20∗7 23 C1
y20∗9 38 C1
y31 X14 + 16X13 + 38X12 + 34X11 + X10 + 30X9 + 31X8 + 12X7 + 39X6 + 20X5 + 7X4 + 20X3 + 28X2 + 6X + 39 C15
y31∗2 30X14 + 32X13 + 10X11 + 26X10 + 36X9 + 21X8 + 27X7 + 6X6 + 22X5 + 24X4 + 39X3 + 15X2 + 25X + 7 C15
y31∗3 29X14 + 15X13 + 12X11 + 3X10 + 7X9 + 26X8 + 24X7 + 6X6 + 32X5 + 29X4 + 9X3 + 22X2 + 12X + 6 C15
y31∗4 12X14 + 17X13 + 23X12 + 16X11 + 33X10 + 27X9 + 15X8 + X7 + 7X6 + 17X5 + 28X4 + 10X3 + 7X2 + 14X + 24 C15
y31∗5 19X14 + 5X13 + 23X12 + 18X11 + 21X10 + 3X9 + 5X8 + 27X6 + 23X5 + 20X4 + 21X3 + 29X2 + 15X + 12 C15
y31∗6 7X14 + 37X13 + 35X12 + 6X11 + 36X9 + 22X8 + 9X7 + 37X6 + 37X5 + 27X4 + 35X3 + 20X2 + 7X + 23 C15
y31∗7 32X14 + 33X13 + 5X12 + 6X11 + 8X10 + 30X9 + 8X8 + 13X7 + 8X6 + 30X5 + 9X4 + 31X3 + 40X2 + X + 32 C15
y31∗8 21X14 + 32X13 + 37X12 + 13X11 + 2X10 + 23X9 + X8 + 36X7 + 3X6 + 14X4 + 18X3 + 10X2 + 14X + 28 C15
y31∗9 27X14 + 35X13 + 5X12 + X11 + 21X10 + 23X9 + 5X8 + 36X7 + 11X6 + 39X5 + 23X4 + 17X3 + 13X2 + X + 21 C15
y31∗10 6X13 + 35X12 + 10X11 + 22X10 + 23X9 + 28X8 + 27X7 + 30X6 + 12X5 + 22X4 + 23X3 + 3X2 + 29X + 36 C15
y31∗11 29X14 + 18X13 + 15X11 + 26X10 + 28X9 + 38X8 + 28X7 + 37X6 + 32X5 + 5X4 + 38X3 + 19X2 + 24X + 13 C15
y31∗12 34X14 + 34X13 + 3X12 + 29X11 + 7X10 + 11X9 + 30X8 + 3X7 + 31X6 + 6X5 + 18X4 + 22X3 + 34X2 + 2X + 17 C15
y31∗13 31X14 + 29X13 + X12 + 31X11 + 2X10 + 13X9 + 37X8 + 31X7 + 15X6 + 3X5 + 8X4 + 40X3 + 19X2 + 25X + 10 C15
y31∗14 31X14 + 21X13 + 33X12 + 31X11 + 36X10 + 25X9 + 16X8 + 5X7 + 6X6 + 20X5 + 19X4 + 31X2 + 24X + 36 C15
y31∗15 25X14 + 39X13 + 8X12 + 14X11 + 38X10 + 13X9 + 4X8 + 35X7 + 24X6 + 35X5 + 34X4 + 5X3 + 38X2 + 6X + 23 C15
y32 27X3 + 20X2 + 23X + 25 C4
y32∗3 22X3 + 9X2 + 20X + 31 C4
y32∗5 11X3 + 20X2 + 40X + 36 C4
y32∗7 9X3 + 32X2 + 6X + 22 C4
y32∗9 32X3 + 9X2 + 35X + 19 C4
y32∗11 30X3 + 21X2 + X + 5 C4
y32∗13 19X3 + 32X2 + 21X + 10 C4
y32∗15 14X3 + 21X2 + 18X + 16 C4
y40 13 C1
y40∗3 26 C1
y40∗7 5 C1
y40∗9 32 C1
y40∗11 9 C1
y40∗13 36 C1
y40∗17 15 C1
y40∗19 28 C1
y80 23X + 27 C2
y80∗3 30X + 37 C2
y80∗7 26X + 2 C2
y80∗9 12X + 23 C2
y80∗11 7X + 10 C2
y80∗13 38X + 25 C2
y80∗17 20X + 11 C2
y80∗19 19X + 33 C2
y80∗21 22X + 8 C2
y80∗23 21X + 30 C2
y80∗27 3X + 16 C2
y80∗29 34X + 31 C2
y80∗31 29X + 18 C2
y80∗33 15X + 39 C2
y80∗37 11X + 4 C2
y80∗39 18X + 14 C2
y160 12X3 + 27X2 + 20X + 2 C4
y160∗3 6X3 + 3X2 + 32X + 1 C4
y160∗7 25X3 + 12X2 + 27X + 11 C4
y160∗9 11X3 + 28X2 + 33X + 36 C4
y160∗11 32X3 + 30X2 + 32X + 19 C4
y160∗13 34X3 + 16X2 + 37X + 33 C4
y160∗17 21X3 + 16X2 + 38X + 24 C4
y160∗19 8X3 + 5X2 + 23X + 15 C4
y160∗21 34X3 + 28X2 + 6X + 33 C4
y160∗23 15X2 + 33X C4
y160∗27 33X3 + 26X2 + 37X + 26 C4
y160∗29 27X3 + 27X2 + 22X + 25 C4
y160∗31 19X3 + 36X2 + 38X + 10 C4
y160∗33 12X3 + 3X2 + 2 C4
y160∗37 6X3 + 12X2 + 19X + 1 C4
y160∗39 16X3 + 11X2 + 40X + 30 C4
y160∗41 25X3 + 30X2 + X + 11 C4
y160∗43 35X3 + 29X2 + 22X + 40 C4
y160∗47 29X3 + 38X2 + 39 C4
y160∗49 22X3 + 5X2 + 3X + 31 C4
y160∗51 14X3 + 14X2 + 19X + 16 C4
y160∗53 8X3 + 15X2 + 4X + 15 C4
y160∗57 26X2 + 8X C4
y160∗59 7X3 + 13X2 + 35X + 8 C4
y160∗61 33X3 + 36X2 + 18X + 26 C4
y160∗63 20X3 + 25X2 + 3X + 17 C4
y160∗67 7X3 + 25X2 + 4X + 8 C4
y160∗69 9X3 + 11X2 + 9X + 22 C4
y160∗71 30X3 + 13X2 + 8X + 5 C4
y160∗73 16X3 + 29X2 + 14X + 30 C4
y160∗77 35X3 + 38X2 + 9X + 40 C4
y160∗79 29X3 + 14X2 + 21X + 39 C4
y'24 32X + 34 C2
y'24∗7 40X + 22 C2
y'24∗13 9X + 7 C2
y'24∗19 X + 19 C2




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