zeta5 = 3 + 11^2 + 2*11^3 + 3*11^4 + 6*11^5 + 10*11^6 + 8*11^7 + 7*11^8 + ... == zeta5^1 x [11A-8,1] on 11A1: [9/2, -1/2+7/4*2^(1/2)] zeta5^0 x [11A-8,2] on 11A1: [24753/392, -1/2-3858371/10976*2^(1/2)] = 2 x [9/2, -1/2+7/4*2^(1/2)] == zeta5^1 x [11A-13,1] on 11A1: [553/36, -1/2-3397/216*13^(1/2)] zeta5^0 x [11A-13,3] on 11A1: [105557507041/21602148048, -1/2-15613525573072201/11447669519372736*13^(1/2)] = 2 x [553/36, -1/2-3397/216*13^(1/2)] == zeta5^2 x [11A-17,1] on 11A1: [21/4, -1/2+13/8*17^(1/2)] zeta5^0 x [11A-17,2] on 11A1: [553329/45968, -1/2-376470047/40635712*17^(1/2)] = 2 x [21/4, -1/2+13/8*17^(1/2)] == zeta5^1 x [11A-29,1] on 11A1: [907428789/5569600, -1/2+5059406780519/13144256000*29^(1/2)] zeta5^0 x [11A-29,3] on 11A1: [678567688561770390918056670273723441/16537931626249062740251597334969600, -1/2+550353599247710618373569206069623648633561225667857961/11453040251759092015504283932482553611528911002112000*29^(1/2)] = 2 x [907428789/5569600, -1/2+5059406780519/13144256000*29^(1/2)] == zeta5^0 x [11A-41,1] on 11A1: [2589/100, -1/2+20003/1000*41^(1/2)] zeta5^0 x [11A-41,2] on 11A1: [46680896132241/6561968147600, -1/2+248480221226176886161/107632420062283096000*41^(1/2)] = 2 x [2589/100, -1/2+20003/1000*41^(1/2)] == zeta5^4 x [11A-52,1] on 11A1: [105557507041/21602148048, -1/2+15613525573072201/11447669519372736*13^(1/2)] zeta5^0 x [11A-52,2] on 11A1: [400845211465192598031958502638767817965869953/21064875046236430243230151273448171698396992, -1/2-7684962554999392436637835132638518707297956052324447537006448511071/348586053154390938329742151111070547057756844662413262009253682688*13^(1/2)] = 2 x [105557507041/21602148048, -1/2+15613525573072201/11447669519372736*13^(1/2)] == zeta5^3 x [11A-61,1] on 11A1: [330571544885629/55217977574400, -1/2-523005552890597564957/410318165198057472000*61^(1/2)] zeta5^0 x [11A-61,2] on 11A1: [27594155320723012356488025142351267269324482086063538060881/3685385494901574119156261849916450446210566641735932006400, -1/2+3669957227885205949724413223675348521844360440963916645014915330062447017134996405821479/1747387806403830992414469077480178197360685240413838638310845436534796402209655062528000*61^(1/2)] == zeta5^1 x [11A-68,1] on 11A1: [115266828048883379871681/26060122715900639133248, -1/2+7272441985741364159397781136558209/17345592742667798070904679638455808*17^(1/2)] zeta5^0 x [11A-68,3] on 11A1: [689002151926590110479126003530992331700736323371040958209695629866790055656073433105590263553/5513114073322570302819812577015525461565287640189381275673189491200097819310437431407671552, -1/2-18007106891668079996613450361065536743513903503387171861005121006818377950206061295065126044952588094807424515207601257521358084014613089791/53372792835358131153824833835256725778620601962028411426186637728882165958071820506323870431173251720193029597333901797805672154978758656*17^(1/2)] = 2 x [115266828048883379871681/26060122715900639133248, -1/2+7272441985741364159397781136558209/17345592742667798070904679638455808*17^(1/2)] == zeta5^3 x [11A-73,1] on 11A1: [157/36, -1/2+19/216*73^(1/2)] zeta5^0 x [11A-73,2] on 11A1: [2439095953/3794832, -1/2-120364922127599/63161183808*73^(1/2)] = 2 x [157/36, -1/2+19/216*73^(1/2)] == == zeta5^3 x [11A-21,1] on 11A1: [-25035/2738+3910/1369*I*3^(1/2)-4067/2738*I*7^(1/2)+3655/1369*7^(1/2)*3^(1/2), -1634460/50653-2931905/101306*I*3^(1/2)+838484/50653*I*7^(1/2)+681955/101306*7^(1/2)*3^(1/2)] = 2[5,5] + [8004/2527+10285/2527*I*3^(1/2), -1/2-5596613/672182*I*7^(1/2)+421685/336091*7^(1/2)*3^(1/2)] zeta5^4 x [11A-21,2] on 11A1: [-25035/2738-3910/1369*I*3^(1/2)-4067/2738*I*7^(1/2)-3655/1369*7^(1/2)*3^(1/2), 1583807/50653-2931905/101306*I*3^(1/2)-838484/50653*I*7^(1/2)+681955/101306*7^(1/2)*3^(1/2)] = 3[5,5] + [8004/2527-10285/2527*I*3^(1/2), -1/2+5596613/672182*I*7^(1/2)+421685/336091*7^(1/2)*3^(1/2)] zeta5^0 x [11A-21,3] = zeta5^0 x [11A-21,4] on 11A1: [384067/86700, -1/2-17413453/44217000*21^(1/2)] 2 x [8004/2527+10285/2527*I*3^(1/2), -1/2-5596613/672182*I*7^(1/2)+421685/336091*7^(1/2)*3^(1/2)] - [384067/86700, -1/2-17413453/44217000*21^(1/2)] = [-6, -1/2+11/2*I*7^(1/2)] == zeta5^4 x [11A-24,4] on 11A1: [-759/361-1279/722*I*2^(1/2)+5/361*I*3^(1/2)+315/722*2^(1/2)*3^(1/2), -43793/6859+1723/6859*I*2^(1/2)-12815/6859*I*3^(1/2)+3355/6859*2^(1/2)*3^(1/2)] = 3[5,5] + [-2857/676-605/676*I*3^(1/2), -1/2+12221/2197*I*2^(1/2)-17545/8788*2^(1/2)*3^(1/2)] zeta5^3 x [11A-24,5] on 11A1: [-759/361-1279/722*I*2^(1/2)-5/361*I*3^(1/2)-315/722*2^(1/2)*3^(1/2), 36934/6859-1723/6859*I*2^(1/2)-12815/6859*I*3^(1/2)+3355/6859*2^(1/2)*3^(1/2)] = 2[5,5] + [-2857/676+605/676*I*3^(1/2), -1/2-12221/2197*I*2^(1/2)-17545/8788*2^(1/2)*3^(1/2)] zeta5^0 x [11A-24,8] = zeta5^0 x [11A-24,9] on 11A1: [5281/150, -1/2+376621/4500*6^(1/2)] 2 x [-2857/676-605/676*I*3^(1/2), -1/2+12221/2197*I*2^(1/2)-17545/8788*2^(1/2)*3^(1/2) - [5281/150, -1/2+376621/4500*6^(1/2)] = [-1/2, -1/2+11/4*I*2^(1/2)] == zeta5^4 x [11A-28,1] on 11A1: [-9/2+6*I+7/2*I*7^(1/2)-3*7^(1/2), -43-33/2*I-2*I*7^(1/2)-33/2*7^(1/2)] = 3[5,5] + [-84/25-363/25*I, -1/2+2541/125*7^(1/2)+2299/250*I*7^(1/2)] zeta5^4 x [11A-28,2] on 11A1: [-9/2-6*I+7/2*I*7^(1/2)+3*7^(1/2), 42-33/2*I+2*I*7^(1/2)-33/2*7^(1/2)] = 2[5,5] + [-84/25+363/25*I, -1/2+2541/125*7^(1/2)-2299/250*I*7^(1/2)] zeta5^0 x [11A-28,3] = zeta5^0 x [11A-28,4] on 11A1: [379/36, -1/2-2491/216*7^(1/2)] 2 x [-84/25-363/25*I, -1/2+2541/125*7^(1/2)+2299/250*I*7^(1/2)] - [379/36, -1/2-2491/216*7^(1/2)] = [-6, -1/2-11/2*I*7^(1/2)] == zeta5^4 x [11A-32,1] on 11A1: [-1345558650/566487601+233683185/566487601*I-1784383191/1132975202*2^(1/2)-816475519/1132975202*I*2^(1/2), -33056349610366/13482971391401+93672575526270/13482971391401*I-315850284888/13482971391401*2^(1/2)+24660329414267/13482971391401*I*2^(1/2)] = 3[5,5] + [-2423699/1005362+2781669/1005362*I, -1/2+7012587549/1425603316*2^(1/2)+922477259/1425603316*I*2 ^(1/2)] zeta5^3 x [11A-32,2] on 11A1: [-1345558650/566487601-233683185/566487601*I+1784383191/1132975202*2^(1/2)-816475519/1132975202*I*2^(1/2), 19573378218965/13482971391401+93672575526270/13482971391401*I-315850284888/13482971391401*2^(1/2)-24660329414267/13482971391401*I*2^(1/2)] = 2[5,5] + [-2423699/1005362-2781669/1005362*I, -1/2+7012587549/1425603316*2^(1/2)-922477259/1425603316*I*2 ^(1/2)] zeta5^0 x [11A-32,3] = zeta5^0 x [11A-32,4] on 11A1: [6268928521/1056988242, -1/2-333865014752969/48598205390676*2^(1/2)] = -3 x [9/2, -1/2+7/4*2^(1/2)] 2 x [-2423699/1005362+2781669/1005362*I, -1/2+7012587549/1425603316*2^(1/2)+922477259/1425603316*I*2 ^(1/2)] - [6268928521/1056988242, -1/2-333865014752969/48598205390676*2^(1/2)] = [-1/2, -1/2+11/4*I*2^(1/2)] == zeta5^1 x [11A-40,1] on 11A1: [388604391350253/6789266006884+106677944882973/6789266006884*5^(1/2), -1/2-1536711525109543810019/4422565217847275462*2^(1/2)-1093800458306541323673/8845130435694550924*2^(1/2)*5^(1/2)] zeta5^2 x [11A-40,2] on 11A1: [388604391350253/6789266006884-106677944882973/6789266006884*5^(1/2), -1/2+1536711525109543810019/4422565217847275462*2^(1/2)-1093800458306541323673/8845130435694550924*2^(1/2)*5^(1/2)] zeta5^0 x [11A-40,3] on 11A1: [989252907014931712169045730165633203909061074165096135496313779/66639700942683220282041084950634232551547126112865612740002576+255968051073012232677414500216760533295778383430969562551621647/66639700942683220282041084950634232551547126112865612740002576*5^(1/2), -1/2-1453911429428899980980615670487661875071558285051124795936625599577617695612949524183755952311/34000051626816054532835657531546017887671523455062378833947394771842043177428317930095244636*2^(1/2)-4246230241246248648898086902011656840229648555886272830511227382262508210279463178560338669975/272000413014528436262685260252368143101372187640499030671579158174736345419426543440761957088*2^(1/2)*5^(1/2)] = (-5) x [9/2, -1/2+7/4*2^(1/2)] + (-1) x [66529/810, -1/2-17042077/72900*10^(1/2)] = 2 x [388604391350253/6789266006884+106677944882973/6789266006884*5^(1/2), -1/2-1536711525109543810019/4422565217847275462*2^(1/2)-1093800458306541323673/8845130435694550924*2^(1/2)*5^(1/2)] zeta5^0 x [11A-40,4] on 11A1: [989252907014931712169045730165633203909061074165096135496313779/66639700942683220282041084950634232551547126112865612740002576-255968051073012232677414500216760533295778383430969562551621647/66639700942683220282041084950634232551547126112865612740002576*5^(1/2), -1/2+1453911429428899980980615670487661875071558285051124795936625599577617695612949524183755952311/34000051626816054532835657531546017887671523455062378833947394771842043177428317930095244636*2^(1/2)-4246230241246248648898086902011656840229648555886272830511227382262508210279463178560338669975/272000413014528436262685260252368143101372187640499030671579158174736345419426543440761957088*2^(1/2)*5^(1/2)] = 5 x [9/2, -1/2+7/4*2^(1/2)] + (-1) x [66529/810, -1/2-17042077/72900*10^(1/2)] = 2 x [388604391350253/6789266006884-106677944882973/6789266006884*5^(1/2), -1/2+1536711525109543810019/4422565217847275462*2^(1/2)-1093800458306541323673/8845130435694550924*2^(1/2)*5^(1/2)] == zeta5^0 x [11A-57,1] on 11A1: [-96/49-8/49*I*3^(1/2)+11/49*I*19^(1/2)-5/49*3^(1/2)*19^(1/2), -646/343-650/343*I*3^(1/2)-74/343*I*19^(1/2)-2/343*3^(1/2)*19^(1/2)] = 3[5,5] + [-351/152-121/152*I*3^(1/2), -1/2+121/361*3^(1/2)*19^(1/2)-1573/2888*I*19^(1/2)] zeta5^0 x [11A-57,2] on 11A1: [-96/49+8/49*I*3^(1/2)+11/49*I*19^(1/2)+5/49*3^(1/2)*19^(1/2), 303/343-650/343*I*3^(1/2)+74/343*I*19^(1/2)-2/343*3^(1/2)*19^(1/2)] = 2[5,5] + [-351/152+121/152*I*3^(1/2), -1/2+121/361*3^(1/2)*19^(1/2)+1573/2888*I*19^(1/2)] zeta5^0 x [11A-57,3] = zeta5^0 x [11A-57,4] on 11A1: [103/12, -1/2-203/72*57^(1/2)] 2 x [-351/152-121/152*I*3^(1/2), -1/2+121/361*3^(1/2)*19^(1/2)-1573/2888*I*19^(1/2)] - [103/12, -1/2-203/72*57^(1/2)] = [9/4, -1/2-11/8*I*19^(1/2)] == zeta5^2 x [11A-65,1] on 11A1: [158134695420015901137073029428646339/10041576682509192761830717177204808+7170780346875968980713706543451079/10041576682509192761830717177204808*5^(1/2), -1/2-937792395801981044981653274641019281692646675190469/355760617416915405910731465194374191936835832362792*13^(1/2)-1306746086909269888287358670672782196582657160697729/177880308708457702955365732597187095968417916181396*13^(1/2)*5^(1/2)] zeta5^3 x [11A-65,2] on 11A1: [158134695420015901137073029428646339/10041576682509192761830717177204808-7170780346875968980713706543451079/10041576682509192761830717177204808*5^(1/2), -1/2+937792395801981044981653274641019281692646675190469/355760617416915405910731465194374191936835832362792*13^(1/2)-1306746086909269888287358670672782196582657160697729/177880308708457702955365732597187095968417916181396*13^(1/2)*5^(1/2)] zeta5^0 x [11A-65,3] on 11A1: [1453121871668159788271868133220997754605551214136008332485959989251871972820578630817533058954998045563024073065729460371781312846943560653260207/292303410958913816611235361657537573675131691234288352188410606037375816654963023340493173877378097016914850912731490591241786761705603841947296+36989271997318932748006669247999872417260368662148761831093669078668004340873659199139273346248282178559150801523442864664917130940257292992283/292303410958913816611235361657537573675131691234288352188410606037375816654963023340493173877378097016914850912731490591241786761705603841947296*5^(1/2), -1/2-81577490339629432872101909520669123435952387765793085385690619484891351841994910313625100037023673126083849410444949924348257020934308205226019633362680633996859542682219504148854409843490496467718933122404986826539/201454748011196282547113080534115221488765584910590956981072863752266600304921806517643799647910322618218678384001223091741180236054662359608508683404123847210848419396732802461766432715000370519482817414762354998464*13^(1/2)-65712796059722160215215352046180368593417269537098876228199004979698579936671867411787033850856679626720611252963329517697347321642227646047941957503188413539503823371265206971315411972407073400494695078252674597123/100727374005598141273556540267057610744382792455295478490536431876133300152460903258821899823955161309109339192000611545870590118027331179804254341702061923605424209698366401230883216357500185259741408707381177499232*13^(1/2)*5^(1/2)] = (-5) x [553/36, -1/2-3397/216*13^(1/2)] + (-1) x [4833/980, -1/2+43847/68600*65^(1/2)] = 2 x [158134695420015901137073029428646339/10041576682509192761830717177204808+7170780346875968980713706543451079/10041576682509192761830717177204808*5^(1/2), -1/2-937792395801981044981653274641019281692646675190469/355760617416915405910731465194374191936835832362792*13^(1/2)-1306746086909269888287358670672782196582657160697729/177880308708457702955365732597187095968417916181396*13^(1/2)*5^(1/2)] zeta5^0 x [11A-65,4] on 11A1: = 5 x [553/36, -1/2-3397/216*13^(1/2)] + (-1) x [4833/980, -1/2+43847/68600*65^(1/2)] = 2 x [158134695420015901137073029428646339/10041576682509192761830717177204808-7170780346875968980713706543451079/10041576682509192761830717177204808*5^(1/2), -1/2+937792395801981044981653274641019281692646675190469/355760617416915405910731465194374191936835832362792*13^(1/2)-1306746086909269888287358670672782196582657160697729/177880308708457702955365732597187095968417916181396*13^(1/2)*5^(1/2)] == zeta5^0 x [11A-72,1] on 11A1: [-1-5/2*2^(1/2)+4*I*3^(1/2)+3/2*I*2^(1/2)*3^(1/2), 19+29/2*2^(1/2)+I*3^(1/2)-7/2*I*2^(1/2)*3^(1/2)] = 4[5,5] + [9/4-11/4*I*3^(1/2), -1/2-11/4*2^(1/2)-11/2*I*2^(1/2)*3^(1/2)] zeta5^2 x [11A-72,2] on 11A1: [-1+5/2*2^(1/2)-4*I*3^(1/2)+3/2*I*2^(1/2)*3^(1/2), -20+29/2*2^(1/2)+I*3^(1/2)+7/2*I*2^(1/2)*3^(1/2)] = 1[5,5] + [9/4+11/4*I*3^(1/2), -1/2-11/4*2^(1/2)+11/2*I*2^(1/2)*3^(1/2)] zeta5^0 x [11A-72,3] = zeta5^0 x [11A-72,4] on 11A1: [9/2, -1/2-7/4*2^(1/2)] 2 x [9/4-11/4*I*3^(1/2), -1/2-11/4*2^(1/2)-11/2*I*2^(1/2)*3^(1/2)] - [9/2, -1/2-7/4*2^(1/2)] = [-25/6, -1/2+121/36*I*2^(1/2)*3^(1/2)] == zeta5^0 x [11A-76,1] on 11A1: [-26696082/13845841-1571700/13845841*I-1266195/13845841*19^(1/2)+4687103/13845841*I*19^(1/2), 94026455775/51520374361+86554343910/51520374361*I+2219136240/51520374361*19^(1/2)+9098765420/51520374361*I*19^(1/2)] = 2[5,5] + [-105540/38809-56265/77618*I, -1/2-10409025/30581492*19^(1/2)+29308741/30581492*I*19^(1/2)] zeta5^1 x [11A-76,2] on 11A1: [-26696082/13845841+1571700/13845841*I+1266195/13845841*19^(1/2)+4687103/13845841*I*19^(1/2), -145546830136/51520374361+86554343910/51520374361*I+2219136240/51520374361*19^(1/2)-9098765420/51520374361*I*19^(1/2)] = 3[5,5] + [-105540/38809+56265/77618*I, -1/2-10409025/30581492*19^(1/2)-29308741/30581492*I*19^(1/2)] zeta5^0 x [11A-76,3] = zeta5^0 x [11A-76,4] on 11A1: [34293031/864900, -1/2+45330699833/804357000*19^(1/2)] 2 x [-105540/38809-56265/77618*I, -1/2-10409025/30581492*19^(1/2)+29308741/30581492*I*19^(1/2)] - [34293031/864900, -1/2+45330699833/804357000*19^(1/2)] = [9/4, -1/2+11/8*I*19^(1/2)] == zeta5^3 x [11A-84,1] on 11A1: [-147440690153462711250179/33407315640099961329842-6695562424661754129920/16703657820049980664921*I*3^(1/2)-35977709522888164192979/33407315640099961329842*I*7^(1/2)+3362664433216454918670/16703657820049980664921*7^(1/2)*3^(1/2), 18938343481960053152446176365838412/2158824693825438508642958058789469+4902340131546736963679759380589765/2158824693825438508642958058789469*I*3^(1/2)-6021486654591236855147230610780812/2158824693825438508642958058789469*I*7^(1/2)+713757313859603977070057419067755/2158824693825438508642958058789469*7^(1/2)*3^(1/2)] = 1[5,5] + [76342660038/116814115327+32563157110/116814115327*I*3^(1/2), -1/2+8449589727909649/4311475494873482*I*7^(1/2)-11009929050462100/105631149624400309*7^(1/2)*3^(1/2)] zeta5^2 x [11A-84,2] on 11A1: [-147440690153462711250179/33407315640099961329842+6695562424661754129920/16703657820049980664921*I*3^(1/2)-35977709522888164192979/33407315640099961329842*I*7^(1/2)-3362664433216454918670/16703657820049980664921*7^(1/2)*3^(1/2), -21097168175785491661089134424627881/2158824693825438508642958058789469+4902340131546736963679759380589765/2158824693825438508642958058789469*I*3^(1/2)+6021486654591236855147230610780812/2158824693825438508642958058789469*I*7^(1/2)+713757313859603977070057419067755/2158824693825438508642958058789469*7^(1/2)*3^(1/2)] = 4[5,5] + [76342660038/116814115327-32563157110/116814115327*I*3^(1/2), -1/2-8449589727909649/4311475494873482*I*7^(1/2)-11009929050462100/105631149624400309*7^(1/2)*3^(1/2)] zeta5^0 x [11A-84,3] = zeta5^0 x [11A-84,4] on 11A1: = [84668687214313898319121/736117131252278168400, -1/2-24519951315642005116910024576143631/91522955222352531982486724328000*21^(1/2)] = 2 x [384067/86700, -1/2+17413453/44217000*21^(1/2)] 2 x [76342660038/116814115327+32563157110/116814115327*I*3^(1/2), -1/2+8449589727909649/4311475494873482*I*7^(1/2)-11009929050462100/105631149624400309*7^(1/2)*3^(1/2)] - [84668687214313898319121/736117131252278168400, -1/2-24519951315642005116910024576143631/91522955222352531982486724328000*21^(1/2)] = [-9/7, -121/98*I*7^(1/2)-1/2] = 2 x [-6, -1/2-11/2*I*7^(1/2)] == zeta5^1 x [11A-85,1] on 11A1: [823189879533948293367/1339579439497770248+250921801457893974219/1339579439497770248*5^(1/2), -1/2+2388533785059543636373589871587/548160473268796833380375432*17^(1/2)+452944940669997465061628114775/274080236634398416690187716*17^(1/2)*5^(1/2)] zeta5^3 x [11A-85,2] on 11A1: [823189879533948293367/1339579439497770248-250921801457893974219/1339579439497770248*5^(1/2), -1/2-2388533785059543636373589871587/548160473268796833380375432*17^(1/2)+452944940669997465061628114775/274080236634398416690187716*17^(1/2)*5^(1/2)] zeta5^0 x [11A-85,3] on 11A1: [7662405534269926357960282676260105532430132189409655578737423772604274716987236929957782007/49787329691043770334602910702763159846177082841325943502486098775898145822123919681427744+2331091277176166097135974937381882226500196076331140121116002443059385921136778448360958851/49787329691043770334602910702763159846177082841325943502486098775898145822123919681427744*5^(1/2), -1/2+8819641062052055062919252475591455509555194593253911802367176644080144505018793224687382686288652980724057059172149808593831375612044271/16194133602837446115849353587889130830509953833947049324197684363579016376941543946687759613593288641953578555078380547205393989354304*17^(1/2)+98395763372261216754027961370795492349744423619396454182496417780473374008121590753212827869425479337631441692056673050849952751698599/476298047142277826936745693761445024426763348057266156594049540105265187557104233726110576870390842410399369267011192564864529098656*17^(1/2)*5^(1/2)] = -5 x [21/4, -1/2+13/8*17^(1/2)] + [161509609733/263973780, -1/2-15729396596529101/9590167427400*85^(1/2)] = 2 x [823189879533948293367/1339579439497770248+250921801457893974219/1339579439497770248*5^(1/2), -1/2+2388533785059543636373589871587/548160473268796833380375432*17^(1/2)+452944940669997465061628114775/274080236634398416690187716*17^(1/2)*5^(1/2)] == R1 = [38935264967737125/7684532621269156+35733756167024531/7684532621269156*I-17424028898364979/7684532621269156*3^(1/2)-14984002814184811/7684532621269156*I*3^(1/2), -1/2-1794649472472678535936145/336818697552638497771348*2^(1/2)-1291578033050555970093649/84204674388159624442837*I*2^(1/2)+1182030853472906291194175/336818697552638497771348*2^(1/2)*3^(1/2)+1078832015775461323901327/168409348776319248885674*I*2^(1/2)*3^(1/2)] R2 = [38935264967737125/7684532621269156-35733756167024531/7684532621269156*I+17424028898364979/7684532621269156*3^(1/2)-14984002814184811/7684532621269156*I*3^(1/2), -1/2+1794649472472678535936145/336818697552638497771348*2^(1/2)-1291578033050555970093649/84204674388159624442837*I*2^(1/2)+1182030853472906291194175/336818697552638497771348*2^(1/2)*3^(1/2)-1078832015775461323901327/168409348776319248885674*I*2^(1/2)*3^(1/2)] R3 = [38935264967737125/7684532621269156-35733756167024531/7684532621269156*I-17424028898364979/7684532621269156*3^(1/2)+14984002814184811/7684532621269156*I*3^(1/2), -1/2-1794649472472678535936145/336818697552638497771348*2^(1/2)+1291578033050555970093649/84204674388159624442837*I*2^(1/2)+1182030853472906291194175/336818697552638497771348*2^(1/2)*3^(1/2)-1078832015775461323901327/168409348776319248885674*I*2^(1/2)*3^(1/2)] R4 = [38935264967737125/7684532621269156+35733756167024531/7684532621269156*I+17424028898364979/7684532621269156*3^(1/2)+14984002814184811/7684532621269156*I*3^(1/2), -1/2+1794649472472678535936145/336818697552638497771348*2^(1/2)+1291578033050555970093649/84204674388159624442837*I*2^(1/2)+1182030853472906291194175/336818697552638497771348*2^(1/2)*3^(1/2)+1078832015775461323901327/168409348776319248885674*I*2^(1/2)*3^(1/2)] zeta5^2 x [11A-96,1] on 11A1: 1[5,5] + R1 zeta5^3 x [11A-96,2] on 11A1: 2[5,5] + R2 zeta5^1 x [11A-96,3] on 11A1: 4[5,5] + R3 zeta5^4 x [11A-96,4] on 11A1: 3[5,5] + R4 ======================== T2 comes from 5th root of unity T1 = [5,5] [11A-101,1] = ???? POINT NOT REPORTED [11A-101,2] = T2 [11A-109,1] = 2 [3667842483162901/617920164000000, -1/2+14324642008164099400033/15360259436712000000000*109^(1/2)] [11A-109,2] = 3 T2 [11A-116,1] = 4 [907428789/5569600, -1/2-5059406780519/13144256000*29^(1/2)] [11A-116,2] = 2 T2 [11A-149,1] = ???? POINT NOT REPORTED [11A-149,2] = 2 T2 [11A-164,1] = 8 [2589/100, -1/2-20003/1000*41^(1/2)] [11A-164,2] = 4 T2 [11A-173,1] = ???? POINT NOT REPORTED [11A-173,2] = 3 T2 [11A-193,1] = 2 [697/144, -1/2-581/1728*193^(1/2)] [11A-193,2] = 2 T2 [11A-197,1] = ???? POINT NOT REPORTED [11A-197,2] = T2 [11A-112,1] = 3 [379/36, -1/2+2491/216*7^(1/2)] [11A-112,2] = 3 [379/36, -1/2+2491/216*7^(1/2)] --- [1,1] -> 2 T2 [1,-1] -> 1 T1 + 4 T2 + 6 [-6, -1/2-11/2*I*7^(1/2)] 5 [11A-112,3] = 15 [-6, -1/2-11/2*I*7^(1/2)] 5 [11A-112,4] = 15 [-6, -1/2+11/2*I*7^(1/2)] [11A-117,1] = 3 [553/36, -1/2+3397/216*13^(1/2)] [11A-117,2] = 3 [553/36, -1/2+3397/216*13^(1/2)] 5 [11A-117,3] = 5 [-7/3, -1/2+11/18*I*39^(1/2)] 5 [11A-117,4] = 5 [-7/3, -1/2+11/18*I*39^(1/2)] [11A-128,1] = 4 [9/2, -1/2+7/4*2^(1/2)] [11A-128,2] = 4 [9/2, -1/2+7/4*2^(1/2)] 5 [11A-128,3] = ???? NOT AN OBVIOUS MULTIPLE OF 2-TWIST 5 [11A-128,4] = ???? NOT AN OBVIOUS MULTIPLE OF 2-TWIST [11A-129,1] = [862869067/193924800, -1/2-828635680379/4677466176000*129^(1/2)] [11A-129,2] = [862869067/193924800, -1/2-828635680379/4677466176000*129^(1/2)] [11A-129,3] = ???? NOT OBVIOUS [11A-129,4] = ???? NOT OBVIOUS [11A-153,1] = [21/4, -1/2-13/8*17^(1/2)] [11A-153,2] = [21/4, -1/2-13/8*17^(1/2)] 5 [11A-153,3] = 5 [-413/12, -1/2+2057/72*I*51^(1/2)] 5 [11A-153,4] = 5 [-413/12, -1/2-2057/72*I*51^(1/2)] [11A-161,1] = [7542243/57500, -1/2-7796699851/66125000*161^(1/2)] [11A-161,2] = [7542243/57500, -1/2-7796699851/66125000*161^(1/2)] 5 [11A-161,3] = 5 x 23 x [2293/2300, -1/2-227293/529000*I*161^(1/2)] 5 [11A-161,4] = 5 x 23 x [2293/2300, -1/2+227293/529000*I*161^(1/2)] [11A-172,1] = [2131747/51984, -1/2-467322401/11852352*43^(1/2)] [11A-172,2] = [2131747/51984, -1/2-467322401/11852352*43^(1/2)] 5 [11A-172,3] = 5 [69/16, -1/2+11/64*I*43^(1/2)] 5 [11A-172,4] = 5 [69/16, -1/2-11/64*I*43^(1/2)] [11A-184,1] = [313445281/38512350, -1/2+4608082094021/1620984811500*46^(1/2)] [11A-184,2] = [313445281/38512350, -1/2+4608082094021/1620984811500*46^(1/2)] [11A-184,3] = ???? NOT OBVIOUS [11A-184,4] = ???? NOT OBVIOUS [11A-189,1] = 2 [384067/86700, -1/2+17413453/44217000*21^(1/2)] [11A-189,2] = 2 [384067/86700, -1/2+17413453/44217000*21^(1/2)] 5 [11A-189,3] = [] 5 [11A-189,4] = [] [11A-200,1] = [9/2, -1/2+7/4*2^(1/2)] + 5 [66529/810, -1/2-17042077/72900*10^(1/2)] [11A-200,2] = [9/2, -1/2+7/4*2^(1/2)] + 5 [66529/810, -1/2+17042077/72900*10^(1/2)] 5 [11A-200,3] = [] 5 [11A-200,4] = [] [1,1,1,1] -> 2 [440563/10140, -1/2-108936221/3954600*105^(1/2)] [1,-1,-1,1] -> 10 [384067/86700, -1/2+17413453/44217000*21^(1/2)] [1,1,-1,-1] -> [] [1,-1,1,-1] -> [] [11A-105,1] = ???? DOESN'T MATCH ABOVE ANALYSIS [11A-105,2] = [11A-105,3] = [11A-105,4] = --- [1,1,1,1] -> 2 T2 [1,-1,-1,1] -> 3 T2 [1,1,-1,-1] -> 3 T1 + 4 T2 + 2 [-6, -1/2+11/2*I*7^(1/2)] [1,-1,1,-1] -> ???? [11A-105,5] = [11A-105,6] = [11A-105,7] = [11A-105,8] = [1,1,1,1] -> 2 [925955556961/13188452670, -1/2-883710863425484731/8295668613956700*30^(1/2)] [1,-1,-1,1] -> 10 [5281/150, -1/2+376621/4500*6^(1/2)] [1,1,-1,-1] -> [] [1,-1,1,-1] -> [] 2 [11A-120,1] = [925955556961/13188452670, -1/2-883710863425484731/8295668613956700*30^(1/2)] + 5 [5281/150, -1/2+376621/4500*6^(1/2)] 2 [11A-120,2] = [925955556961/13188452670, -1/2-883710863425484731/8295668613956700*30^(1/2)] + 5 [5281/150, -1/2-376621/4500*6^(1/2)] 2 [11A-120,3] = [925955556961/13188452670, -1/2-883710863425484731/8295668613956700*30^(1/2)] + 5 [5281/150, -1/2-376621/4500*6^(1/2)] 2 [11A-120,4] = [925955556961/13188452670, -1/2-883710863425484731/8295668613956700*30^(1/2)] + 5 [5281/150, -1/2+376621/4500*6^(1/2)] --- 5 [1,1,1,1] -> [] 5 [1,-1,-1,1] -> 5 [39/10, -1/2+121/100*I*10^(1/2)] [1,1,-1,-1] -> ???? 5 [1,-1,1,-1] -> [] [11A-120,5] = [11A-120,6] = [11A-120,7] = [11A-120,8] = [1,1,1,1] -> 2 [306622827130980667/62124016807132020, -1/2+30279930945599764793604013/34623765280409478173980200*35^(1/2)] [1,-1,-1,1] -> [] [1,1,-1,-1] -> 10 [379/36, -1/2+2491/216*7^(1/2)] [1,-1,1,-1] -> [] 2 [11A-140,1] = [306622827130980667/62124016807132020, -1/2+30279930945599764793604013/34623765280409478173980200*35^(1/2)] + 5 [379/36, -1/2+2491/216*7^(1/2)] 2 [11A-140,2] = [306622827130980667/62124016807132020, -1/2+30279930945599764793604013/34623765280409478173980200*35^(1/2)] + 5 [379/36, -1/2+2491/216*7^(1/2)] 2 [11A-140,3] = [306622827130980667/62124016807132020, -1/2+30279930945599764793604013/34623765280409478173980200*35^(1/2)] + 5 [379/36, -1/2-2491/216*7^(1/2)] 2 [11A-140,4] = [306622827130980667/62124016807132020, -1/2+30279930945599764793604013/34623765280409478173980200*35^(1/2)] + 5 [379/36, -1/2-2491/216*7^(1/2)] --- 5 [1,1,1,1] -> [] 5 [1,-1,-1,1] -> 10 [-43/20, -1/2+121/200*I*35^(1/2)] 5 [1,1,-1,-1] -> [] 5 [1,-1,1,-1] -> 10 [-6, -1/2+11/2*I*7^(1/2)] [11A-140,5] = ???? DOESN'T MATCH [11A-140,6] = ???? [11A-140,7] = ???? [11A-140,8] = ???? [1,1,1,1] -> ???? [1,-1,-1,1] -> ???? [1,1,-1,-1] -> ???? [1,-1,1,-1] -> ???? MIGHT ACTUALLY BE EASIER TO APPROACH THIS BY IDENTIFYING [1,0,0,1] AND [1,0,0,-1] [11A-145,1] = [11A-145,2] = [11A-145,3] = [11A-145,4] = --- 5 [11A-145,5] = [] 5 [11A-145,6] = [] 5 [11A-145,7] = [] 5 [11A-145,8] = [] [1,1,1,1] -> 2 [2705296424336257/26495677267500, -1/2+38814934713661482518869/236223535462259625000*39^(1/2)] [1,-1,-1,1] -> [] [1,1,-1,-1] -> [] [1,-1,1,-1] -> 10 [553/36, -1/2-3397/216*13^(1/2)] 2 [11A-156,1] = [2705296424336257/26495677267500, -1/2+38814934713661482518869/236223535462259625000*39^(1/2)] + 5 [553/36, -1/2-3397/216*13^(1/2)] [11A-156,2] = [2705296424336257/26495677267500, -1/2+38814934713661482518869/236223535462259625000*39^(1/2)] + 5 [553/36, -1/2+3397/216*13^(1/2)] [11A-156,3] = [2705296424336257/26495677267500, -1/2+38814934713661482518869/236223535462259625000*39^(1/2)] + 5 [553/36, -1/2-3397/216*13^(1/2)] [11A-156,4] = [2705296424336257/26495677267500, -1/2+38814934713661482518869/236223535462259625000*39^(1/2)] + 5 [553/36, -1/2+3397/216*13^(1/2)] --- 5 [1,1,1,1] -> [] 5 [1,-1,-1,1] -> 10 [-57/4, -1/2+121/8*I*13^(1/2)] 5 [1,1,-1,-1] -> 10 [-7/3, -1/2-11/18*I*39^(1/2)] 5 [1,-1,1,-1] -> [] 10 [11A-156,5] = 5 [-57/4, -1/2+121/8*I*13^(1/2)] + 5 [-7/3, -1/2-11/18*I*39^(1/2)] 10 [11A-156,6] = 5 [-57/4, -1/2-121/8*I*13^(1/2)] + 5 [-7/3, -1/2-11/18*I*39^(1/2)] 10 [11A-156,7] = 5 [-57/4, -1/2-121/8*I*13^(1/2)] + 5 [-7/3, -1/2+11/18*I*39^(1/2)] 10 [11A-156,8] = 5 [-57/4, -1/2+121/8*I*13^(1/2)] + 5 [-7/3, -1/2+11/18*I*39^(1/2)] [1,1,1,1] -> 6 [66529/810, -1/2-17042077/72900*10^(1/2)] [1,-1,-1,1] -> [] [1,1,-1,-1] -> 10 [9/2, -1/2+7/4*2^(1/2)] [1,-1,1,-1] -> [] 2 [11A-160,1] = 3 [66529/810, -1/2-17042077/72900*10^(1/2)] + 5 [9/2, -1/2+7/4*2^(1/2)] 2 [11A-160,2] = 3 [66529/810, -1/2-17042077/72900*10^(1/2)] + 5 [9/2, -1/2+7/4*2^(1/2)] 2 [11A-160,3] = 3 [66529/810, -1/2-17042077/72900*10^(1/2)] + 5 [9/2, -1/2-7/4*2^(1/2)] 2 [11A-160,4] = 3 [66529/810, -1/2-17042077/72900*10^(1/2)] + 5 [9/2, -1/2-7/4*2^(1/2)] --- 5 [1,1,1,1] -> [] 5 [1,-1,-1,1] -> 10 [39/10, -1/2-121/100*I*10^(1/2)] 5 [1,1,-1,-1] -> [] [1,-1,1,-1] -> ???? [11A-160,5] = [11A-160,6] = [11A-160,7] = [11A-160,8] = ==== 101 -> nothing 109 -> [3667842483162901/617920164000000, -1/2+14324642008164099400033/15360259436712000000000*109^(1/2)] 149 -> nothing 173 -> nothing 193 -> [697/144, -1/2+581/1728*193^(1/2)] 197 -> nothing 129 -> [862869067/193924800, -1/2-828635680379/4677466176000*129^(1/2)] -129 -> [-206203/19200, -1/2+14438083/4608000*I*129^(1/2)] 161 -> [7542243/57500, -1/2-7796699851/66125000*161^(1/2)] -161 -> [2293/2300, -1/2-227293/529000*I*161^(1/2)] 105 -> [440563/10140, -1/2+108936221/3954600*105^(1/2)] 145 -> [39989/6480, -1/2-1040879/1166400*145^(1/2)]