Frank Lübeck   

Conway polynomials for p = 2

f2,1 = X + 1     RP
f2,2 = X2 + X + 1     RP
f2,3 = X3 + X + 1     RP
f2,4 = X4 + X + 1     RP
f2,5 = X5 + X2 + 1     RP
f2,6 = X6 + X4 + X3 + X + 1     RP
f2,7 = X7 + X + 1     RP
f2,8 = X8 + X4 + X3 + X2 + 1     RP
f2,9 = X9 + X4 + 1     RP
f2,10 = X10 + X6 + X5 + X3 + X2 + X + 1     RP
f2,11 = X11 + X2 + 1     RP
f2,12 = X12 + X7 + X6 + X5 + X3 + X + 1     RP
f2,13 = X13 + X4 + X3 + X + 1     RP
f2,14 = X14 + X7 + X5 + X3 + 1     RP
f2,15 = X15 + X5 + X4 + X2 + 1     RP
f2,16 = X16 + X5 + X3 + X2 + 1     RP
f2,17 = X17 + X3 + 1     RP
f2,18 = X18 + X12 + X10 + X + 1     RP
f2,19 = X19 + X5 + X2 + X + 1     RP
f2,20 = X20 + X10 + X9 + X7 + X6 + X5 + X4 + X + 1     RP
f2,21 = X21 + X6 + X5 + X2 + 1     RP
f2,22 = X22 + X12 + X11 + X10 + X9 + X8 + X6 + X5 + 1     RP
f2,23 = X23 + X5 + 1     RP
f2,24 = X24 + X16 + X15 + X14 + X13 + X10 + X9 + X7 + X5 + X3 + 1     RP
f2,25 = X25 + X8 + X6 + X2 + 1     RP
f2,26 = X26 + X14 + X10 + X8 + X7 + X6 + X4 + X + 1     RP
f2,27 = X27 + X12 + X10 + X9 + X7 + X5 + X3 + X2 + 1     RP
f2,28 = X28 + X13 + X7 + X6 + X5 + X2 + 1     RP
f2,29 = X29 + X2 + 1     RP
f2,30 = X30 + X17 + X16 + X13 + X11 + X7 + X5 + X3 + X2 + X + 1     RP
f2,31 = X31 + X3 + 1     RP
f2,32 = X32 + X15 + X9 + X7 + X4 + X3 + 1     RP
f2,33 = X33 + X13 + X12 + X11 + X10 + X8 + X6 + X3 + 1     RP
f2,34 = X34 + X16 + X15 + X12 + X11 + X8 + X7 + X6 + X5 + X4 + X2 + X + 1     RP
f2,35 = X35 + X11 + X10 + X7 + X5 + X2 + 1     RP
f2,36 = X36 + X23 + X22 + X20 + X19 + X17 + X14 + X13 + X8 + X6 + X5 + X + 1     RP
f2,37 = X37 + X5 + X4 + X3 + X2 + X + 1     RP
f2,38 = X38 + X14 + X10 + X9 + X8 + X5 + X2 + X + 1     RP
f2,39 = X39 + X15 + X12 + X11 + X10 + X9 + X7 + X6 + X5 + X2 + 1     RP
f2,40 = X40 + X23 + X21 + X18 + X16 + X15 + X13 + X12 + X8 + X5 + X3 + X + 1     RP
f2,41 = X41 + X3 + 1     RP
f2,42 = X42 + X30 + X26 + X25 + X24 + X20 + X18 + X12 + X11 + X9 + X6 + X5 + X2 + X + 1     RP
f2,43 = X43 + X6 + X4 + X3 + 1     RP
f2,44 = X44 + X24 + X19 + X17 + X16 + X4 + X3 + X + 1     RP
f2,45 = X45 + X20 + X17 + X15 + X14 + X12 + X11 + X6 + 1     RP
f2,46 = X46 + X23 + X21 + X20 + X17 + X14 + 1     RP
f2,47 = X47 + X5 + 1     RP
f2,48 = X48 + X25 + X23 + X17 + X12 + X11 + X10 + X8 + X7 + X3 + 1     RP
f2,49 = X49 + X10 + X8 + X6 + X4 + X3 + X2 + X + 1     RP
f2,50 = X50 + X29 + X28 + X27 + X19 + X17 + X16 + X14 + X13 + X12 + X10 + X9 + X8 + X6 + X4 + X2 + 1     RP
f2,51 = X51 + X16 + X15 + X12 + X9 + X6 + 1     RP
f2,52 = X52 + X28 + X27 + X26 + X25 + X23 + X21 + X17 + X15 + X14 + X10 + X7 + X4 + X + 1     FL
f2,53 = X53 + X6 + X2 + X + 1     RP
f2,54 = X54 + X34 + X32 + X31 + X30 + X29 + X27 + X25 + X21 + X18 + X17 + X16 + X15 + X13 + X7 + X4 + X2 + X + 1     RP
f2,55 = X55 + X11 + X10 + X9 + X7 + X4 + 1     RP
f2,56 = X56 + X33 + X30 + X26 + X22 + X19 + X14 + X13 + X11 + X9 + X8 + X4 + X3 + X2 + 1     FL
f2,57 = X57 + X21 + X19 + X16 + X13 + X11 + X10 + X8 + X6 + X5 + X4 + X3 + X2 + X + 1     RP
f2,58 = X58 + X31 + X29 + X26 + X25 + X24 + X22 + X18 + X16 + X12 + X11 + X10 + X8 + X7 + X6 + X5 + X3 + X + 1     FL
f2,59 = X59 + X6 + X5 + X4 + X3 + X + 1     RP
f2,60 = X60 + X45 + X44 + X42 + X41 + X39 + X36 + X34 + X33 + X32 + X30 + X26 + X25 + X22 + X19 + X17 + X12 + X8 + X5 + X4 + X3 + X2 + 1     RP
f2,61 = X61 + X5 + X2 + X + 1     RP
f2,62 = X62 + X32 + X30 + X29 + X28 + X27 + X26 + X25 + X24 + X21 + X20 + X19 + X18 + X17 + X16 + X14 + X13 + X12 + X6 + X + 1     FL
f2,63 = X63 + X24 + X23 + X22 + X17 + X16 + X15 + X11 + X9 + X8 + X4 + X3 + X2 + X + 1     KM
f2,64 = X64 + X33 + X30 + X26 + X25 + X24 + X23 + X22 + X21 + X20 + X18 + X13 + X12 + X11 + X10 + X7 + X5 + X4 + X2 + X + 1     KM
f2,65 = X65 + X15 + X14 + X13 + X12 + X10 + X9 + X7 + X5 + X + 1     RP
f2,66 = X66 + X46 + X45 + X42 + X40 + X38 + X34 + X33 + X32 + X31 + X30 + X29 + X27 + X24 + X23 + X22 + X21 + X19 + X16 + X13 + X11 + X7 + X6 + X5 + X4 + X2 + 1     FL
f2,67 = X67 + X5 + X2 + X + 1     RP
f2,68 = X68 + X35 + X30 + X29 + X28 + X26 + X22 + X20 + X15 + X14 + X13 + X9 + X8 + X5 + X4 + X + 1     FL
f2,69 = X69 + X24 + X18 + X17 + X14 + X10 + X9 + X8 + X5 + X4 + 1     KM
f2,70 = X70 + X44 + X43 + X39 + X37 + X36 + X35 + X34 + X33 + X32 + X30 + X29 + X26 + X24 + X21 + X20 + X19 + X15 + X14 + X13 + X12 + X11 + X10 + X9 + X8 + X7 + X3 + X2 + 1     FL
f2,71 = X71 + X5 + X3 + X + 1     RP
f2,72 = X72 + X48 + X47 + X44 + X38 + X35 + X32 + X31 + X30 + X29 + X27 + X25 + X23 + X22 + X21 + X18 + X15 + X12 + X8 + X4 + 1     FL
f2,73 = X73 + X4 + X3 + X2 + 1     RP
f2,74 = X74 + X37 + X36 + X35 + X34 + X33 + X32 + X31 + X30 + X29 + X28 + X27 + X26 + X24 + X21 + X17 + X16 + X13 + X12 + X11 + X8 + X3 + 1     KM
f2,75 = X75 + X32 + X29 + X25 + X23 + X22 + X14 + X12 + X9 + X5 + X4 + X + 1     KM
f2,76 = X76 + X38 + X37 + X36 + X35 + X34 + X33 + X31 + X29 + X27 + X25 + X24 + X23 + X20 + X19 + X15 + X14 + X5 + X2 + X + 1     KM
f2,77 = X77 + X15 + X14 + X11 + X4 + X2 + 1     KM
f2,78 = X78 + X46 + X44 + X43 + X42 + X39 + X37 + X35 + X34 + X33 + X32 + X28 + X27 + X25 + X24 + X22 + X21 + X19 + X18 + X17 + X15 + X14 + X13 + X11 + X9 + X8 + X7 + X6 + X4 + X + 1     FL
f2,79 = X79 + X4 + X3 + X2 + 1     RP
f2,80 = X80 + X48 + X46 + X42 + X41 + X38 + X33 + X32 + X31 + X29 + X26 + X25 + X24 + X22 + X21 + X20 + X17 + X15 + X13 + X11 + X9 + X8 + X6 + X5 + X4 + X2 + 1     KM
f2,81 = X81 + X27 + X26 + X24 + X23 + X21 + X17 + X16 + X15 + X11 + X10 + X9 + X7 + X6 + X4 + X3 + 1     RPn
f2,82 = X82 + X37 + X36 + X35 + X34 + X33 + X32 + X28 + X24 + X22 + X21 + X17 + X16 + X15 + X13 + X12 + X11 + X9 + X7 + X6 + X4 + X3 + X2 + X + 1     KM
f2,83 = X83 + X7 + X4 + X2 + 1     RP
f2,84 = X84 + X57 + X52 + X48 + X47 + X46 + X41 + X39 + X37 + X32 + X31 + X28 + X26 + X25 + X24 + X21 + X20 + X17 + X16 + X13 + X12 + X11 + X9 + X8 + X7 + X5 + X4 + X2 + 1     FL
f2,85 = X85 + X22 + X20 + X18 + X16 + X15 + X14 + X7 + X6 + X2 + 1     KM
f2,86 = X86 + X43 + X40 + X38 + X31 + X27 + X25 + X22 + X21 + X16 + X14 + X12 + X10 + X9 + X8 + X7 + X6 + X5 + X2 + X + 1     KM
f2,87 = X87 + X30 + X28 + X26 + X20 + X16 + X14 + X13 + X12 + X11 + X10 + X8 + X7 + X5 + X3 + X + 1     RPn
f2,88 = X88 + X47 + X45 + X44 + X41 + X38 + X36 + X33 + X31 + X30 + X28 + X27 + X24 + X21 + X19 + X18 + X15 + X14 + X13 + X12 + X11 + X9 + X8 + X7 + X5 + X4 + X3 + X + 1     KM
f2,89 = X89 + X6 + X5 + X3 + 1     RP
f2,90 = X90 + X64 + X63 + X62 + X61 + X60 + X58 + X57 + X56 + X55 + X53 + X51 + X50 + X48 + X47 + X46 + X45 + X44 + X42 + X40 + X39 + X38 + X37 + X36 + X34 + X32 + X30 + X28 + X26 + X25 + X24 + X18 + X16 + X14 + X12 + X11 + X10 + X7 + X4 + X2 + 1     FL
f2,91 = X91 + X17 + X16 + X15 + X13 + X12 + X10 + X9 + X4 + X + 1     RPn
f2,92 = X92 + X48 + X44 + X43 + X42 + X41 + X40 + X38 + X37 + X33 + X32 + X30 + X24 + X23 + X22 + X21 + X18 + X17 + X16 + X15 + X14 + X12 + X9 + X5 + X4 + X2 + 1     KM
f2,95 = X95 + X24 + X21 + X18 + X17 + X16 + X14 + X13 + X12 + X9 + X8 + X6 + X3 + X + 1     RPn
f2,96 = X96 + X63 + X61 + X60 + X59 + X54 + X50 + X46 + X44 + X40 + X37 + X33 + X32 + X28 + X24 + X23 + X21 + X20 + X19 + X18 + X16 + X15 + X14 + X13 + X11 + X9 + X8 + X7 + X6 + X4 + X3 + X2 + 1     KM
f2,97 = X97 + X6 + 1     RP
f2,98 = X98 + X56 + X54 + X53 + X51 + X50 + X48 + X46 + X44 + X39 + X31 + X28 + X27 + X26 + X22 + X18 + X15 + X14 + X11 + X10 + X8 + X6 + X3 + X + 1     KM
f2,100 = X100 + X57 + X56 + X55 + X52 + X48 + X47 + X46 + X45 + X44 + X43 + X41 + X37 + X36 + X35 + X34 + X31 + X30 + X27 + X25 + X24 + X22 + X20 + X19 + X16 + X15 + X11 + X9 + X8 + X6 + X5 + X3 + 1     KM
f2,101 = X101 + X7 + X6 + X + 1     RPn
f2,102 = X102 + X68 + X61 + X59 + X58 + X57 + X56 + X55 + X54 + X52 + X51 + X49 + X47 + X45 + X44 + X41 + X39 + X37 + X30 + X28 + X27 + X25 + X24 + X23 + X16 + X10 + 1     KM
f2,103 = X103 + X7 + X5 + X4 + X3 + X2 + 1     RPn
f2,107 = X107 + X7 + X5 + X3 + X2 + X + 1     RPn
f2,108 = X108 + X70 + X68 + X63 + X62 + X61 + X59 + X57 + X54 + X50 + X47 + X46 + X45 + X44 + X43 + X42 + X38 + X37 + X35 + X34 + X33 + X32 + X31 + X30 + X29 + X26 + X24 + X23 + X20 + X18 + X15 + X11 + X10 + X9 + X8 + X7 + X3 + X2 + 1     KM
f2,109 = X109 + X5 + X4 + X2 + 1     RPn
f2,110 = X110 + X68 + X65 + X64 + X62 + X59 + X58 + X57 + X56 + X55 + X54 + X48 + X43 + X42 + X39 + X37 + X36 + X35 + X33 + X29 + X28 + X26 + X25 + X20 + X17 + X14 + X13 + X11 + X10 + X6 + X2 + X + 1     KM
f2,113 = X113 + X5 + X3 + X2 + 1     RPn
f2,114 = X114 + X77 + X75 + X73 + X71 + X70 + X69 + X68 + X65 + X64 + X63 + X62 + X60 + X57 + X56 + X55 + X54 + X52 + X50 + X47 + X42 + X40 + X37 + X36 + X35 + X34 + X31 + X30 + X28 + X27 + X26 + X25 + X21 + X20 + X18 + X16 + X15 + X13 + X11 + X9 + X7 + X3 + 1     KM
f2,115 = X115 + X25 + X22 + X18 + X17 + X15 + X14 + X13 + X12 + X11 + X10 + X9 + X7 + X6 + X4 + X + 1     KM
f2,119 = X119 + X21 + X20 + X18 + X17 + X16 + X15 + X14 + X13 + X7 + X2 + X + 1     KM
f2,120 = X120 + X86 + X85 + X83 + X81 + X79 + X75 + X73 + X71 + X68 + X67 + X65 + X60 + X58 + X56 + X52 + X51 + X50 + X48 + X47 + X46 + X45 + X44 + X42 + X41 + X40 + X38 + X36 + X34 + X31 + X30 + X29 + X28 + X25 + X17 + X16 + X14 + X13 + X12 + X7 + X5 + X4 + X3 + X2 + 1     KM
f2,121 = X121 + X13 + X12 + X11 + X10 + X7 + X6 + X2 + 1     KM
f2,125 = X125 + X22 + X19 + X17 + X16 + X15 + X13 + X12 + X11 + X10 + X9 + X6 + X5 + X3 + 1     KM
f2,126 = X126 + X89 + X87 + X86 + X85 + X81 + X79 + X77 + X74 + X71 + X70 + X68 + X64 + X62 + X60 + X59 + X57 + X56 + X52 + X51 + X47 + X45 + X44 + X43 + X42 + X41 + X40 + X39 + X37 + X36 + X28 + X25 + X24 + X22 + X20 + X19 + X17 + X16 + X15 + X13 + X11 + X10 + X8 + X6 + X5 + X + 1     KM
f2,127 = X127 + X + 1     RPn
f2,131 = X131 + X7 + X6 + X5 + X4 + X + 1     RPn
f2,132 = X132 + X91 + X89 + X88 + X85 + X84 + X80 + X77 + X71 + X70 + X69 + X65 + X63 + X60 + X57 + X52 + X51 + X50 + X44 + X43 + X41 + X39 + X38 + X37 + X35 + X30 + X27 + X26 + X24 + X23 + X20 + X18 + X16 + X10 + X9 + X7 + X5 + X4 + 1     KM
f2,133 = X133 + X25 + X22 + X21 + X20 + X19 + X17 + X16 + X15 + X13 + X11 + X8 + X6 + X5 + 1     KM
f2,137 = X137 + X8 + X5 + X4 + X3 + X2 + 1     RPn
f2,139 = X139 + X7 + X5 + X3 + X2 + X + 1     RPn
f2,143 = X143 + X24 + X21 + X17 + X16 + X14 + X12 + X11 + X7 + X4 + X2 + X + 1     KM
f2,149 = X149 + X9 + X7 + X6 + X5 + X4 + X3 + X + 1     RPn
f2,150 = X150 + X111 + X110 + X108 + X106 + X105 + X103 + X101 + X100 + X99 + X98 + X93 + X92 + X91 + X90 + X88 + X87 + X85 + X82 + X81 + X80 + X79 + X76 + X75 + X73 + X67 + X66 + X65 + X64 + X62 + X60 + X59 + X58 + X57 + X55 + X54 + X53 + X52 + X51 + X50 + X47 + X45 + X41 + X36 + X35 + X34 + X31 + X28 + X27 + X26 + X25 + X22 + X20 + X18 + X16 + X14 + X12 + X8 + X6 + X5 + X3 + X + 1     KM
f2,151 = X151 + X3 + 1     RPn
f2,157 = X157 + X6 + X5 + X2 + 1     RPn
f2,163 = X163 + X7 + X6 + X3 + 1     RPn
f2,167 = X167 + X6 + 1     RPn
f2,169 = X169 + X17 + X16 + X14 + X12 + X9 + X8 + X6 + X5 + X3 + 1     GAP
f2,173 = X173 + X8 + X5 + X2 + 1     RPn
f2,179 = X179 + X4 + X2 + X + 1     RPn
f2,181 = X181 + X7 + X6 + X + 1     RPn
f2,191 = X191 + X7 + X5 + X4 + X3 + X + 1     RPn
f2,193 = X193 + X8 + X7 + X6 + X5 + X4 + X2 + X + 1     RPn
f2,197 = X197 + X8 + X7 + X6 + X5 + X3 + X2 + X + 1     RPn
f2,199 = X199 + X7 + X6 + X5 + X3 + X2 + 1     RPn
f2,211 = X211 + X9 + X6 + X5 + X3 + X + 1     RPn
f2,223 = X223 + X5 + X4 + X2 + 1     RPn
f2,227 = X227 + X6 + X5 + X4 + X3 + X + 1     RPn
f2,229 = X229 + X9 + X6 + X5 + X2 + X + 1     RPn
f2,233 = X233 + X7 + X5 + X4 + X3 + X2 + 1     RPn
f2,239 = X239 + X5 + X4 + X3 + X2 + X + 1     RPn
f2,241 = X241 + X8 + X6 + X5 + X4 + X3 + 1     RPn
f2,251 = X251 + X7 + X4 + X2 + 1     RPn
f2,257 = X257 + X7 + X5 + X4 + X3 + X2 + 1     RPn
f2,263 = X263 + X9 + X6 + X5 + X4 + X3 + X2 + X + 1     RPn
f2,269 = X269 + X7 + X6 + X + 1     RPn
f2,271 = X271 + X8 + X4 + X3 + X2 + X + 1     RPn
f2,277 = X277 + X7 + X5 + X4 + X2 + X + 1     RPn
f2,281 = X281 + X9 + X4 + X + 1     RPn
f2,283 = X283 + X8 + X6 + X5 + X2 + X + 1     RPn
f2,289 = X289 + X22 + X17 + X16 + X14 + X13 + X12 + X10 + X8 + X7 + X6 + X3 + X2 + X + 1     JB
f2,293 = X293 + X9 + X6 + X4 + X3 + X + 1     RPn
f2,307 = X307 + X8 + X4 + X2 + 1     RPn
f2,311 = X311 + X7 + X5 + X3 + 1     RPn
f2,313 = X313 + X7 + X3 + X + 1     RPn
f2,317 = X317 + X7 + X4 + X2 + 1     RPn
f2,331 = X331 + X7 + X6 + X5 + X4 + X2 + 1     RPn
f2,337 = X337 + X7 + X6 + X5 + X2 + X + 1     RPn
f2,347 = X347 + X7 + X6 + X5 + X4 + X2 + 1     RPn
f2,349 = X349 + X6 + X5 + X2 + 1     RPn
f2,353 = X353 + X9 + X7 + X4 + 1     RPn
f2,359 = X359 + X8 + X6 + X5 + X2 + X + 1     RPn
f2,361 = X361 + X20 + X19 + X18 + X17 + X15 + X13 + X12 + X11 + X10 + X8 + X6 + X4 + X + 1     JB
f2,367 = X367 + X7 + X5 + X4 + X3 + X + 1     RPn
f2,373 = X373 + X8 + X7 + X2 + 1     RPn
f2,379 = X379 + X9 + X8 + X5 + X3 + X + 1     RPn
f2,383 = X383 + X9 + X5 + X + 1     RPn
f2,389 = X389 + X7 + X6 + X3 + X2 + X + 1     RPn
f2,397 = X397 + X8 + X7 + X6 + X5 + X + 1     RPn
f2,401 = X401 + X7 + X5 + X4 + X3 + X + 1     RPn
f2,409 = X409 + X7 + X5 + X3 + 1     RPn


Last updated: Fri Aug 31 13:45:42 2007 (CET)