Frank Lübeck |
Conway polynomials for p = 3
f3,1 = X + 1 RP
f3,2 = X2 + 2 X + 2 RP
f3,3 = X3 + 2 X + 1 RP
f3,4 = X4 + 2 X3 + 2 RP
f3,5 = X5 + 2 X + 1 RP
f3,6 = X6 + 2 X4 + X2 + 2 X + 2 RP
f3,7 = X7 + 2 X2 + 1 RP
f3,8 = X8 + 2 X5 + X4 + 2 X2 + 2 X + 2 RP
f3,9 = X9 + 2 X3 + 2 X2 + X + 1 RP
f3,10 = X10 + 2 X6 + 2 X5 + 2 X4 + X + 2 RP
f3,11 = X11 + 2 X2 + 1 RP
f3,12 = X12 + X6 + X5 + X4 + X2 + 2 RP
f3,13 = X13 + 2 X + 1 RP
f3,14 = X14 + 2 X9 + X8 + X7 + 2 X6 + X5 + 2 X3 + X2 + 2 RP
f3,15 = X15 + 2 X8 + X5 + 2 X2 + X + 1 RP
f3,16 = X16 + 2 X7 + 2 X6 + 2 X4 + 2 X3 + 2 X2 + X + 2 RP
f3,17 = X17 + 2 X + 1 RP
f3,18 = X18 + X10 + 2 X8 + 2 X6 + X5 + 2 X4 + 2 X2 + 2 RP
f3,19 = X19 + 2 X2 + 1 RP
f3,20 = X20 + 2 X13 + X11 + X10 + X9 + X8 + 2 X5 + 2 X4 + 2 X3 + X + 2 RP
f3,21 = X21 + 2 X10 + 2 X8 + 2 X6 + X5 + 2 X3 + 2 X + 1 3,21
f3,22 = X22 + 2 X11 + X10 + 2 X9 + 2 X8 + X7 + X6 + X5 + X3 + 2 X + 2 RP
f3,23 = X23 + X3 + X + 1 RP
f3,24 = X24 + X14 + 2 X11 + 2 X8 + 2 X6 + 2 X4 + 2 X3 + 2 X + 2 RP
f3,25 = X25 + 2 X6 + 2 X5 + X3 + X2 + 2 X + 1 RP
f3,26 = X26 + X13 + 2 X12 + 2 X11 + 2 X10 + 2 X9 + 2 X8 + 2 X7 + 2 X6 + X3 + 2 X2 + X + 2 RP
f3,27 = X27 + 2 X7 + 1 RP
f3,28 = X28 + 2 X14 + X13 + X12 + 2 X11 + X10 + X9 + X8 + 2 X6 + 2 X4 + X3 + 2 RP
f3,29 = X29 + 2 X4 + 1 RP
f3,30 = X30 + 2 X20 + 2 X18 + 2 X17 + 2 X16 + X14 + 2 X13 + 2 X11 + 2 X10 + 2 X9 + 2 X7 + X6 + 2 X5 + 2 X4 + X3 + 2 X2 + 2 X + 2 RP
f3,31 = X31 + X3 + X + 1 RP
f3,32 = X32 + 2 X12 + 2 X11 + 2 X6 + X5 + 2 X4 + X3 + X + 2 RP
f3,33 = X33 + 2 X12 + X11 + X9 + X6 + 2 X5 + 2 X4 + X3 + 2 X2 + 1 RP
f3,34 = X34 + X18 + 2 X17 + 2 X16 + 2 X14 + 2 X12 + X11 + 2 X9 + X7 + 2 X6 + 2 X4 + 2 FL
f3,35 = X35 + X9 + X8 + X7 + 2 X4 + 2 X2 + X + 1 RP
f3,36 = X36 + X21 + 2 X20 + X17 + X16 + 2 X14 + 2 X13 + 2 X11 + 2 X10 + X9 + 2 X8 + 2 X6 + 2 X5 + X3 + X2 + X + 2 FL
f3,37 = X37 + X3 + 2 X2 + 2 X + 1 RP
f3,38 = X38 + X19 + 2 X18 + X16 + 2 X15 + 2 X14 + 2 X13 + 2 X12 + X10 + 2 X9 + 2 X8 + 2 X6 + 2 X5 + 2 X4 + X3 + 2 X + 2 FL
f3,39 = X39 + X12 + 2 X11 + 2 X10 + X9 + 2 X7 + X6 + X4 + 2 X2 + 1 RP
f3,40 = X40 + 2 X23 + X19 + 2 X17 + X16 + X15 + 2 X13 + 2 X11 + X10 + X8 + 2 X7 + 2 X6 + X5 + X4 + 2 X3 + X2 + 2 FL
f3,41 = X41 + 2 X + 1 RP
f3,42 = X42 + X29 + X27 + 2 X26 + 2 X25 + X23 + 2 X22 + X19 + X18 + X17 + 2 X16 + X15 + 2 X14 + X13 + X12 + 2 X11 + X9 + 2 X8 + X5 + 2 X3 + 2 X + 2 FL
f3,43 = X43 + X3 + X + 1 RP
f3,44 = X44 + 2 X23 + X22 + X21 + 2 X20 + X18 + X17 + 2 X15 + 2 X14 + X12 + X10 + X7 + X6 + 2 X5 + 2 X4 + X3 + X2 + 2 FL
f3,45 = X45 + 2 X20 + X19 + 2 X18 + 2 X17 + 2 X16 + X15 + X14 + 2 X12 + X11 + 2 X9 + 2 X8 + X7 + 2 X5 + X4 + X3 + 1 RPn
f3,46 = X46 + 2 X22 + X21 + X20 + X19 + 2 X17 + 2 X15 + 2 X14 + X13 + X10 + 2 X9 + X7 + X5 + 2 X4 + 2 X3 + X2 + 2 JB
f3,47 = X47 + 2 X4 + 2 X2 + 2 X + 1 RP
f3,48 = X48 + 2 X31 + X29 + 2 X27 + 2 X26 + 2 X24 + X22 + 2 X21 + X20 + X19 + X18 + X17 + X14 + 2 X13 + 2 X11 + 2 X10 + 2 X8 + 2 X6 + X4 + 2 X3 + X2 + 2 FL
f3,49 = X49 + X8 + X7 + X5 + X4 + X + 1 RP
f3,50 = X50 + 2 X27 + X25 + 2 X23 + X22 + X21 + X18 + X17 + 2 X15 + X13 + 2 X12 + 2 X11 + X10 + X9 + X7 + X5 + X2 + 2 X + 2 FL
f3,51 = X51 + 2 X18 + X17 + 2 X16 + X12 + 2 X10 + 2 X8 + 2 X7 + 2 X6 + X4 + 2 X3 + 2 X2 + 2 X + 1 RPn
f3,52 = X52 + X28 + 2 X27 + 2 X26 + X23 + 2 X22 + 2 X20 + X19 + 2 X18 + 2 X17 + 2 X16 + 2 X14 + X12 + 2 X8 + X7 + 2 X5 + X4 + X3 + X2 + 2 KM
f3,53 = X53 + 2 X4 + 2 X3 + 2 X2 + 1 RP
f3,54 = X54 + X35 + 2 X33 + 2 X32 + X30 + X29 + X28 + 2 X27 + 2 X25 + 2 X24 + 2 X23 + 2 X22 + X20 + 2 X19 + X18 + X17 + X12 + X11 + X9 + 2 X7 + X6 + 2 X4 + X3 + X2 + X + 2 FL
f3,55 = X55 + X14 + X13 + 2 X11 + X10 + X8 + X6 + 2 X5 + X4 + X3 + 1 RPn
f3,56 = X56 + X32 + X29 + 2 X27 + 2 X26 + X25 + 2 X24 + 2 X23 + 2 X21 + 2 X20 + 2 X19 + 2 X18 + X17 + X14 + X13 + 2 X12 + 2 X7 + X5 + 2 X + 2 KM
f3,57 = X57 + X21 + X20 + 2 X19 + X17 + 2 X16 + 2 X15 + 2 X14 + X12 + 2 X11 + X9 + X8 + X6 + 2 X5 + 2 X4 + 2 X3 + 2 X2 + X + 1 KM
f3,59 = X59 + X3 + 2 X2 + 2 X + 1 RP
f3,60 = X60 + X44 + 2 X41 + X40 + 2 X39 + 2 X38 + 2 X36 + X35 + X34 + 2 X33 + X32 + X30 + 2 X28 + 2 X27 + 2 X26 + 2 X24 + 2 X22 + X21 + X20 + 2 X16 + 2 X15 + X14 + 2 X11 + X10 + 2 X8 + 2 X6 + X5 + 2 X4 + 2 X3 + 2 X2 + 2 FL
f3,61 = X61 + X3 + 2 X2 + 2 X + 1 RP
f3,65 = X65 + X17 + 2 X15 + 2 X14 + 2 X12 + 2 X11 + X10 + X9 + 2 X8 + 2 X7 + 2 X4 + 2 X3 + X + 1 RPn
f3,66 = X66 + X46 + 2 X43 + 2 X41 + X40 + 2 X39 + X38 + 2 X36 + X35 + X32 + 2 X31 + X30 + X29 + 2 X27 + X26 + X24 + X22 + X18 + 2 X17 + 2 X16 + 2 X14 + 2 X11 + 2 X9 + X8 + 2 X7 + 2 X5 + X3 + 2 X2 + 2 X + 2 JB
f3,67 = X67 + 2 X2 + 1 RP
f3,71 = X71 + X4 + 2 X2 + 2 X + 1 RP
f3,72 = X72 + 2 X47 + X46 + X45 + 2 X43 + X42 + X39 + X38 + 2 X37 + 2 X36 + X34 + 2 X33 + 2 X32 + X31 + X30 + X29 + 2 X27 + 2 X25 + X24 + 2 X23 + X22 + 2 X21 + X19 + X18 + 2 X17 + X15 + X13 + 2 X12 + X11 + 2 X10 + X8 + 2 X7 + X6 + X5 + X4 + 2 X3 + 2 X + 2 KM
f3,73 = X73 + 2 X + 1 RP
f3,77 = X77 + 2 X17 + 2 X16 + X15 + 2 X12 + 2 X11 + 2 X8 + 2 X7 + 2 X6 + X5 + X3 + X2 + 2 X + 1 RPn
f3,79 = X79 + 2 X4 + X2 + 2 X + 1 RP
f3,83 = X83 + X5 + 2 X2 + 2 X + 1 RP
f3,85 = X85 + 2 X19 + 2 X17 + 2 X16 + 2 X15 + 2 X14 + X13 + X8 + X7 + 2 X6 + X5 + X3 + X2 + 1 RPn
f3,89 = X89 + 2 X3 + X2 + 1 RP
f3,91 = X91 + X17 + X16 + 2 X15 + 2 X14 + 2 X13 + 2 X10 + 2 X9 + X8 + X6 + X5 + 2 X4 + X3 + 2 X2 + X + 1 RPn
f3,97 = X97 + 2 X3 + 2 X2 + 2 X + 1 RP
f3,101 = X101 + 2 X4 + 2 X3 + 2 X2 + 1 RPn
f3,103 = X103 + 2 X3 + 2 X2 + X + 1 RPn
f3,107 = X107 + 2 X3 + 1 RPn
f3,109 = X109 + 2 X4 + 2 X3 + X2 + 1 RPn
f3,113 = X113 + X3 + 2 X2 + 2 X + 1 RPn
f3,121 = X121 + X13 + 2 X12 + X11 + 2 X9 + 2 X8 + X6 + X5 + 2 X4 + 2 X3 + X2 + 2 X + 1 JB
f3,127 = X127 + X4 + X3 + X2 + 1 RPn
f3,131 = X131 + 2 X5 + X4 + 2 X3 + X2 + 1 RPn
f3,137 = X137 + 2 X + 1 RPn
f3,139 = X139 + X5 + X3 + 2 X2 + X + 1 RPn
f3,149 = X149 + 2 X6 + X4 + X3 + 2 X2 + 2 X + 1 RPn
f3,151 = X151 + 2 X2 + 1 RPn
f3,157 = X157 + X4 + X3 + X2 + 2 X + 1 RPn
f3,163 = X163 + X5 + X4 + 2 X3 + X2 + 1 RPn
f3,167 = X167 + 2 X3 + 2 X2 + X + 1 RPn
f3,169 = X169 + X12 + 2 X9 + X5 + 2 X4 + 2 X + 1 JB
f3,173 = X173 + X4 + 2 X3 + X2 + X + 1 RPn
f3,179 = X179 + X5 + 2 X4 + X3 + 2 X + 1 RPn
f3,181 = X181 + X5 + 2 X4 + 2 X2 + X + 1 RPn
f3,191 = X191 + X5 + X4 + X2 + 1 RPn
f3,193 = X193 + 2 X6 + X5 + X4 + 2 X3 + 2 X + 1 RPn
f3,197 = X197 + 2 X5 + 2 X3 + X2 + X + 1 RPn
f3,199 = X199 + X4 + 2 X3 + 1 RPn
f3,211 = X211 + 2 X4 + X2 + 2 X + 1 RPn
f3,223 = X223 + 2 X5 + X4 + X3 + 2 X2 + 2 X + 1 RPn
f3,227 = X227 + X5 + X4 + X + 1 RPn
f3,229 = X229 + X5 + 2 X4 + X3 + 2 X2 + 1 RPn
f3,233 = X233 + 2 X4 + 2 X2 + 2 X + 1 RPn
f3,239 = X239 + X5 + X + 1 RPn
f3,241 = X241 + 2 X3 + 2 X2 + X + 1 RPn
f3,251 = X251 + 2 X4 + 2 X3 + 2 X + 1 RPn
f3,257 = X257 + 2 X6 + X5 + X3 + 2 X2 + 1 RPn
f3,263 = X263 + 2 X3 + 2 X2 + X + 1 RPn
Last updated: Mon Sep 17 12:25:59 2007 (CET)