junpeitsuji · August 18, 2017 11:37
diff --git a/The_Gaussian_periods_modulo_65537.txt b/The_Gaussian_periods_modulo_65537.txt
 # The Gaussian periods modulo 65537
 p = 65537
 g = 3 (primitive root modulo 65537)

 # 1 dim'l Gaussian periods: 
 (65536, 1) = [1]+[3]+[9]+[27]+[81]+[243]+[729]+[2187]+[6561]+[19683]+[59049]+[46073]+[7145]+[21435]+[64305]+[61841]+[54449]+[32273]+[31282]+[28309]+[19390]+[58170]+[43436]+[64771]+[63239]+[58643]+[44855]+[3491]+[10473]+[31419]+[28720]+[20623]+[61869]+[54533]+[32525]+[32038]+[30577]+[26194]+[13045]+[39135]+[51868]+[24530]+[8053]+[24159]+[6940]+[20820]+[62460]+[56306]+[37844]+[47995]+[12911]+[38733]+[50662]+[20912]+[62736]+[57134]+[40328]+[55447]+[35267]+[40264]+[55255]+[34691]+[38536]+[50071]+[19139]+[57417]+[41177]+[57994]+[42908]+[63187]+[58487]+[44387]+[2087]+[6261]+[18783]+[56349]+[37973]+[48382]+[14072]+[42216]+[61111]+[52259]+[25703]+[11572]+[34716]+[38611]+[50296]+[19814]+[59442]+[47252]+[10682]+[32046]+[30601]+[26266]+[13261]+[39783]+[53812]+[30362]+[25549]+[11110]+[33330]+[34453]+[37822]+[47929]+[12713]+[38139]+[48880]+[15566]+[46698]+[9020]+[27060]+[15643]+[46929]+[9713]+[29139]+[21880]+[103]+[309]+[927]+[2781]+[8343]+[25029]+[9550]+[28650]+[20413]+[61239]+[52643]+[26855]+[15028]+[45084]+[4178]+[12534]+[37602]+[47269]+[10733]+[32199]+[31060]+[27643]+[17392]+[52176]+[25454]+[10825]+[32475]+[31888]+[30127]+[24844]+[8995]+[26985]+[15418]+[46254]+[7688]+[23064]+[3655]+[10965]+[32895]+[33148]+[33907]+[36184]+[43015]+[63508]+[59450]+[47276]+[10754]+[32262]+[31249]+[28210]+[19093]+[57279]+[40763]+[56752]+[39182]+[52009]+[24953]+[9322]+[27966]+[18361]+[55083]+[34175]+[36988]+[45427]+[5207]+[15621]+[46863]+[9515]+[28545]+[20098]+[60294]+[49808]+[18350]+[55050]+[34076]+[36691]+[44536]+[2534]+[7602]+[22806]+[2881]+[8643]+[25929]+[12250]+[36750]+[44713]+[3065]+[9195]+[27585]+[17218]+[51654]+[23888]+[6127]+[18381]+[55143]+[34355]+[37528]+[47047]+[10067]+[30201]+[25066]+[9661]+[28983]+[21412]+[64236]+[61634]+[53828]+[30410]+[25693]+[11542]+[34626]+[38341]+[49486]+[17384]+[52152]+[25382]+[10609]+[31827]+[29944]+[24295]+[7348]+[22044]+[595]+[1785]+[5355]+[16065]+[48195]+[13511]+[40533]+[56062]+[37112]+[45799]+[6323]+[18969]+[56907]+[39647]+[53404]+[29138]+[21877]+[94]+[282]+[846]+[2538]+[7614]+[22842]+[2989]+[8967]+[26901]+[15166]+[45498]+[5420]+[16260]+[48780]+[15266]+[45798]+[6320]+[18960]+[56880]+[39566]+[53161]+[28409]+[19690]+[59070]+[46136]+[7334]+[22002]+[469]+[1407]+[4221]+[12663]+[37989]+[48430]+[14216]+[42648]+[62407]+[56147]+[37367]+[46564]+[8618]+[25854]+[12025]+[36075]+[42688]+[62527]+[56507]+[38447]+[49804]+[18338]+[55014]+[33968]+[36367]+[43564]+[65155]+[64391]+[62099]+[55223]+[34595]+[38248]+[49207]+[16547]+[49641]+[17849]+[53547]+[29567]+[23164]+[3955]+[11865]+[35595]+[41248]+[58207]+[43547]+[65104]+[64238]+[61640]+[53846]+[30464]+[25855]+[12028]+[36084]+[42715]+[62608]+[56750]+[39176]+[51991]+[24899]+[9160]+[27480]+[16903]+[50709]+[21053]+[63159]+[58403]+[44135]+[1331]+[3993]+[11979]+[35937]+[42274]+[61285]+[52781]+[27269]+[16270]+[48810]+[15356]+[46068]+[7130]+[21390]+[64170]+[61436]+[53234]+[28628]+[20347]+[61041]+[52049]+[25073]+[9682]+[29046]+[21601]+[64803]+[63335]+[58931]+[45719]+[6083]+[18249]+[54747]+[33167]+[33964]+[36355]+[43528]+[65047]+[64067]+[61127]+[52307]+[25847]+[12004]+[36012]+[42499]+[61960]+[54806]+[33344]+[34495]+[37948]+[48307]+[13847]+[41541]+[59086]+[46184]+[7478]+[22434]+[1765]+[5295]+[15885]+[47655]+[11891]+[35673]+[41482]+[58909]+[45653]+[5885]+[17655]+[52965]+[27821]+[17926]+[53778]+[30260]+[25243]+[10192]+[30576]+[26191]+[13036]+[39108]+[51787]+[24287]+[7324]+[21972]+[379]+[1137]+[3411]+[10233]+[30699]+[26560]+[14143]+[42429]+[61750]+[54176]+[31454]+[28825]+[20938]+[62814]+[57368]+[41030]+[57553]+[41585]+[59218]+[46580]+[8666]+[25998]+[12457]+[37371]+[46576]+[8654]+[25962]+[12349]+[37047]+[45604]+[5738]+[17214]+[51642]+[23852]+[6019]+[18057]+[54171]+[31439]+[28780]+[20803]+[62409]+[56153]+[37385]+[46618]+[8780]+[26340]+[13483]+[40449]+[55810]+[36356]+[43531]+[65056]+[64094]+[61208]+[52550]+[26576]+[14191]+[42573]+[62182]+[55472]+[35342]+[40489]+[55930]+[36716]+[44611]+[2759]+[8277]+[24831]+[8956]+[26868]+[15067]+[45201]+[4529]+[13587]+[40761]+[56746]+[39164]+[51955]+[24791]+[8836]+[26508]+[13987]+[41961]+[60346]+[49964]+[18818]+[56454]+[38288]+[49327]+[16907]+[50721]+[21089]+[63267]+[58727]+[45107]+[4247]+[12741]+[38223]+[49132]+[16322]+[48966]+[15824]+[47472]+[11342]+[34026]+[36541]+[44086]+[1184]+[3552]+[10656]+[31968]+[30367]+[25564]+[11155]+[33465]+[34858]+[39037]+[51574]+[23648]+[5407]+[16221]+[48663]+[14915]+[44745]+[3161]+[9483]+[28449]+[19810]+[59430]+[47216]+[10574]+[31722]+[29629]+[23350]+[4513]+[13539]+[40617]+[56314]+[37868]+[48067]+[13127]+[39381]+[52606]+[26744]+[14695]+[44085]+[1181]+[3543]+[10629]+[31887]+[30124]+[24835]+[8968]+[26904]+[15175]+[45525]+[5501]+[16503]+[49509]+[17453]+[52359]+[26003]+[12472]+[37416]+[46711]+[9059]+[27177]+[15994]+[47982]+[12872]+[38616]+[50311]+[19859]+[59577]+[47657]+[11897]+[35691]+[41536]+[59071]+[46139]+[7343]+[22029]+[550]+[1650]+[4950]+[14850]+[44550]+[2576]+[7728]+[23184]+[4015]+[12045]+[36135]+[42868]+[63067]+[58127]+[43307]+[64384]+[62078]+[55160]+[34406]+[37681]+[47506]+[11444]+[34332]+[37459]+[46840]+[9446]+[28338]+[19477]+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 # 2 dim'l Gaussian periods: 
 (32768, 1) = [1]+[9]+[81]+[729]+[6561]+[59049]+[7145]+[64305]+[54449]+[31282]+[19390]+[43436]+[63239]+[44855]+[10473]+[28720]+[61869]+[32525]+[30577]+[13045]+[51868]+[8053]+[6940]+[62460]+[37844]+[12911]+[50662]+[62736]+[40328]+[35267]+[55255]+[38536]+[19139]+[41177]+[42908]+[58487]+[2087]+[18783]+[37973]+[14072]+[61111]+[25703]+[34716]+[50296]+[59442]+[10682]+[30601]+[13261]+[53812]+[25549]+[33330]+[37822]+[12713]+[48880]+[46698]+[27060]+[46929]+[29139]+[103]+[927]+[8343]+[9550]+[20413]+[52643]+[15028]+[4178]+[37602]+[10733]+[31060]+[17392]+[25454]+[32475]+[30127]+[8995]+[15418]+[7688]+[3655]+[32895]+[33907]+[43015]+[59450]+[10754]+[31249]+[19093]+[40763]+[39182]+[24953]+[27966]+[55083]+[36988]+[5207]+[46863]+[28545]+[60294]+[18350]+[34076]+[44536]+[7602]+[2881]+[25929]+[36750]+[3065]+[27585]+[51654]+[6127]+[55143]+[37528]+[10067]+[25066]+[28983]+[64236]+[53828]+[25693]+[34626]+[49486]+[52152]+[10609]+[29944]+[7348]+[595]+[5355]+[48195]+[40533]+[37112]+[6323]+[56907]+[53404]+[21877]+[282]+[2538]+[22842]+[8967]+[15166]+[5420]+[48780]+[45798]+[18960]+[39566]+[28409]+[59070]+[7334]+[469]+[4221]+[37989]+[14216]+[62407]+[37367]+[8618]+[12025]+[42688]+[56507]+[49804]+[55014]+[36367]+[65155]+[62099]+[34595]+[49207]+[49641]+[53547]+[23164]+[11865]+[41248]+[43547]+[64238]+[53846]+[25855]+[36084]+[62608]+[39176]+[24899]+[27480]+[50709]+[63159]+[44135]+[3993]+[35937]+[61285]+[27269]+[48810]+[46068]+[21390]+[61436]+[28628]+[61041]+[25073]+[29046]+[64803]+[58931]+[6083]+[54747]+[33964]+[43528]+[64067]+[52307]+[12004]+[42499]+[54806]+[34495]+[48307]+[41541]+[46184]+[22434]+[5295]+[47655]+[35673]+[58909]+[5885]+[52965]+[17926]+[30260]+[10192]+[26191]+[39108]+[24287]+[21972]+[1137]+[10233]+[26560]+[42429]+[54176]+[28825]+[62814]+[41030]+[41585]+[46580]+[25998]+[37371]+[8654]+[12349]+[45604]+[17214]+[23852]+[18057]+[31439]+[20803]+[56153]+[46618]+[26340]+[40449]+[36356]+[65056]+[61208]+[26576]+[42573]+[55472]+[40489]+[36716]+[2759]+[24831]+[26868]+[45201]+[13587]+[56746]+[51955]+[8836]+[13987]+[60346]+[18818]+[38288]+[16907]+[21089]+[58727]+[4247]+[38223]+[16322]+[15824]+[11342]+[36541]+[1184]+[10656]+[30367]+[11155]+[34858]+[51574]+[5407]+[48663]+[44745]+[9483]+[19810]+[47216]+[31722]+[23350]+[13539]+[56314]+[48067]+[39381]+[26744]+[44085]+[3543]+[31887]+[24835]+[26904]+[45525]+[16503]+[17453]+[26003]+[37416]+[9059]+[15994]+[12872]+[50311]+[59577]+[11897]+[41536]+[46139]+[22029]+[1650]+[14850]+[2576]+[23184]+[12045]+[42868]+[58127]+[64384]+[55160]+[37681]+[11444]+[37459]+[9446]+[19477]+[44219]+[4749]+[42741]+[56984]+[54097]+[28114]+[56415]+[48976]+[47562]+[34836]+[51376]+[3625]+[32625]+[31477]+[21145]+[59231]+[8783]+[13510]+[56053]+[45718]+[18240]+[33086]+[35626]+[58486]+[2078]+[18702]+[37244]+[7511]+[2062]+[18558]+[35948]+[61384]+[28160]+[56829]+[52702]+[15559]+[8957]+[15076]+[4610]+[41490]+[45725]+[18303]+[33653]+[40729]+[38876]+[22199]+[3180]+[28620]+[60969]+[24425]+[23214]+[12315]+[45298]+[14460]+[64603]+[57131]+[55420]+[40021]+[32504]+[30388]+[11344]+[36559]+[1346]+[12114]+[43489]+[63716]+[49148]+[49110]+[48768]+[45690]+[17988]+[30818]+[15214]+[5852]+[52668]+[15253]+[6203]+[55827]+[43684]+[65471]+[64943]+[60191]+[17423]+[25733]+[34986]+[52726]+[15775]+[10901]+[32572]+[31000]+[16852]+[20594]+[54272]+[29689]+[5053]+[45477]+[16071]+[13565]+[56548]+[50173]+[58335]+[719]+[6471]+[58239]+[65392]+[64232]+[53792]+[25369]+[31710]+[23242]+[12567]+[47566]+[34872]+[51700]+[6541]+[58869]+[5525]+[49725]+[54303]+[29968]+[7564]+[2539]+[22851]+[9048]+[15895]+[11981]+[42292]+[52943]+[17728]+[28478]+[59691]+[12923]+[50770]+[63708]+[49076]+[48462]+[42936]+[58739]+[4355]+[39195]+[25070]+[29019]+[64560]+[56744]+[51937]+[8674]+[12529]+[47224]+[31794]+[23998]+[19371]+[43265]+[61700]+[31004]+[16888]+[20918]+[57188]+[55933]+[44638]+[8520]+[11143]+[34750]+[50602]+[62196]+[35468]+[57064]+[54817]+[34594]+[49198]+[49560]+[52818]+[16603]+[18353]+[34103]+[44779]+[9789]+[22564]+[6465]+[58185]+[64906]+[59858]+[14426]+[64297]+[54377]+[30634]+[13558]+[56485]+[49606]+[53232]+[20329]+[51887]+[8224]+[8479]+[10774]+[31429]+[20713]+[55343]+[39328]+[26267]+[39792]+[30443]+[11839]+[41014]+[41441]+[45284]+[14334]+[63469]+[46925]+[29103]+[65316]+[63548]+[47636]+[35502]+[57370]+[57571]+[59380]+[10124]+[25579]+[33600]+[40252]+[34583]+[49099]+[48669]+[44799]+[9969]+[24184]+[21045]+[58331]+[683]+[6147]+[55323]+[39148]+[24647]+[25212]+[30297]+[10525]+[29188]+[544]+[4896]+[44064]+[3354]+[30186]+[9526]+[20197]+[50699]+[63069]+[43325]+[62240]+[35864]+[60628]+[21356]+[61130]+[25874]+[36255]+[64147]+[53027]+[18484]+[35282]+[55390]+[39751]+[30074]+[8518]+[11125]+[34588]+[49144]+[49074]+[48444]+[42774]+[57281]+[56770]+[52171]+[10780]+[31483]+[21199]+[59717]+[13157]+[52876]+[17125]+[23051]+[10848]+[32095]+[26707]+[43752]+[546]+[4914]+[44226]+[4812]+[43308]+[62087]+[34487]+[48235]+[40893]+[40352]+[35483]+[57199]+[56032]+[45529]+[16539]+[17777]+[28919]+[63660]+[48644]+[44574]+[7944]+[5959]+[53631]+[23920]+[18669]+[36947]+[4838]+[43542]+[64193]+[53441]+[22210]+[3279]+[29511]+[3451]+[31059]+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