Post-Newtonian expansions for extreme mass ratio binaries

Chris Kavanagh, Adrian Ottewill and Barry Wardell

This notebook gives high-order post-Newtonian expansions of the liner-in-mass-ratio corrections to gauge invariant quantites on the worldline of a point mass in a circular orbit around a Schwarzschild black hole with mass M. We parametrize the orbit by y, where 1/y=(((MΩ))^(2/3)) is an invariant measure of the radius defined through the orbital frequency, Ω.

A definition of the invariants and a description of the calculation of their post-Newtonian expansions was given in the paper with which this notebook is included.

Updates to this notebook will be posted to: http://www.barrywardell.net/research/code/mst-pn

ΔU

Detweiler’s redshift invariant, accurate to order (y^23.5)

ΔU=-y-2 (y^2)-5 (y^3)+(-(121/3)+((41 (π^2))/32)) (y^4)-(13696/525) π (y^(13/2))+((81077 π (y^(15/2)))/3675)+((82561159 π (y^(17/2)))/467775)+(y^5) (-(1157/15)-((128 EulerGamma)/5)+((677 (π^2))/512)-((256 Log[2])/5)-((64 Log[y])/5))+(y^6) ((1606877/3150)+((1912 EulerGamma)/105)-((60343 (π^2))/768)+((7544 Log[2])/105)-((243 Log[3])/7)+((956 Log[y])/105))+(y^7) ((17083661/4050)+((102512 EulerGamma)/567)-((1246056911 (π^2))/1769472)+((2800873 (π^4))/262144)+((372784 Log[2])/2835)+((1215 Log[3])/7)+((51256 Log[y])/567))+(y^(23/2)) (((54441085537326639211 π)/3824681905044000)-((574786456396 EulerGamma π)/180093375)+((78847804 (π^3))/66825)-((562878169484 π Log[2])/442047375)-(1232010/343) π Log[3]-((287393228198 π Log[y])/180093375))+(y^(21/2)) (-((30185191523470507 π)/12236744520000)-((198373004 EulerGamma π)/1157625)-((1055996 (π^3))/11025)-((410021764 π Log[2])/385875)+(246402/343) π Log[3]-((99186502 π Log[y])/1157625))+(y^(19/2)) (-((2207224641326123 π)/1048863816000)+((23447552 EulerGamma π)/55125)-((219136 (π^3))/1575)+((46895104 π Log[2])/55125)+((11723776 π Log[y])/55125))+(y^8) ((12624956532163/382016250)-((10327445038 EulerGamma)/5457375)+((109568 (EulerGamma^2))/525)-((9041721471697 (π^2))/2477260800)-((23851025 (π^4))/16777216)-((16983588526 Log[2])/5457375)+(438272/525) EulerGamma Log[2]+((438272 ((Log[2])^2))/525)-((2873961 Log[3])/24640)-((1953125 Log[5])/19008)+(-(5163722519/5457375)+((109568 EulerGamma)/525)+((219136 Log[2])/525)) Log[y]+((27392 ((Log[y])^2))/525)-((2048 Zeta[3])/5))+(y^9) (-(7516581717416867/34763478750)-((1526970297506 EulerGamma)/496621125)-((108064 (EulerGamma^2))/2205)-((246847155756529 (π^2))/18496880640)+((22759807747673 (π^4))/6442450944)-((1363551923554 Log[2])/496621125)-((3574208 EulerGamma Log[2])/3675)-((2143328 ((Log[2])^2))/1575)-((2201898578589 Log[3])/392392000)+(37908/49) EulerGamma Log[3]+(37908/49) Log[2] Log[3]+((18954 ((Log[3])^2))/49)+((798828125 Log[5])/741312)+(-(769841899153/496621125)-((108064 EulerGamma)/2205)-((1787104 Log[2])/3675)+((18954 Log[3])/49)) Log[y]-((27016 ((Log[y])^2))/2205)-((41408 Zeta[3])/105))+(y^10) (-(10480362137370508214933/2044301131372500)+((5921855038061194 EulerGamma)/442489422375)-((16110330832 (EulerGamma^2))/9823275)-((11665762236240841 (π^2))/226072985600)+((32962327798317273 (π^4))/549755813888)-((27101981341 (π^6))/100663296)-((2076498568312502 Log[2])/442489422375)-((10020829088 EulerGamma Log[2])/9823275)+((33662546992 ((Log[2])^2))/9823275)+((9647042994387 Log[3])/392392000)-(189540/49) EulerGamma Log[3]-(189540/49) Log[2] Log[3]-((94770 ((Log[3])^2))/49)-((58533203125 Log[5])/15567552)-((96889010407 Log[7])/277992000)+((2921280466785797/442489422375)-((16110330832 EulerGamma)/9823275)-((5010414544 Log[2])/9823275)-((94770 Log[3])/49)) Log[y]-((4027582708 ((Log[y])^2))/9823275)+((10221088 Zeta[3])/2835))+(y^(29/2)) (((1336294903090725255003617465326866661585909 π)/18019932070565250037164583927296000000)-((46391509015783244898900222307 EulerGamma π)/230643593697511469475000)+((1067426776875158344 (EulerGamma^2) π)/39313483295625)-((189507100082091827663 (π^3))/100397900007405000)-((566663688949648 EulerGamma (π^3))/34037647875)-((38391555728 (π^5))/147349125)+((2445399253693130508171504437 π Log[2])/7603634957060817675000)-((262062918751890736 EulerGamma π Log[2])/16848635698125)+((616217158135856 (π^3) Log[2])/14587563375)-((14360235090106424872 π ((Log[2])^2))/117940449886875)-((417200038147614582893187 π Log[3])/710176274858050000)+((192193560 EulerGamma π Log[3])/2401)-(14784120/343) (π^3) Log[3]+((192193560 π Log[2] Log[3])/2401)+((96096780 π ((Log[3])^2))/2401)+((1236624772381767578125 π Log[5])/10143056412176688)+((6051220875658089481 π Log[7])/381864579525000)+(-((45159239251553201509950923107 π)/461287187395022938950000)+((1067426776875158344 EulerGamma π)/39313483295625)-((283331844474824 (π^3))/34037647875)-((131031459375945368 π Log[2])/16848635698125)+((96096780 π Log[3])/2401)) Log[y]+((266856694218789586 π ((Log[y])^2))/39313483295625)-((566663688949648 π Zeta[3])/11345882625))+(y^(25/2)) (-((45399846479271440442297518687 π)/663973981856472412125000)+((182604093267737890741 EulerGamma π)/5368871658150000)-((20071104512 (EulerGamma^2) π)/5788125)-((10107325522351333 (π^3))/1311079770000)+((375160832 EulerGamma (π^3))/165375)+((3506176 (π^5))/23625)+((8942695592491561207381 π Log[2])/177172764718950000)-((80284418048 EulerGamma π Log[2])/5788125)+((750321664 (π^3) Log[2])/165375)-((80284418048 π ((Log[2])^2))/5788125)+((732046976712531 π Log[3])/308616308000)+((5835244140625 π Log[5])/1749125664)+(((182604093267737890741 π)/10737743316300000)-((20071104512 EulerGamma π)/5788125)+((187580416 (π^3))/165375)-((40142209024 π Log[2])/5788125)) Log[y]-((5017776128 π ((Log[y])^2))/5788125)+((375160832 π Zeta[3])/55125))+(y^(27/2)) (-((6767039769820711612044942739662347459 π)/22167764689355188761521664000000)+((30294039845477593179773 EulerGamma π)/460649188269270000)-((12888220664 (EulerGamma^2) π)/17364375)-((101098342493915479 (π^3))/2434862430000)+((274237072 EulerGamma (π^3))/70875)+((4863088 (π^5))/7875)+((1167092414966262325576471 π Log[2])/16122721589424450000)+((317164421552 EulerGamma π Log[2])/24310125)-((68210224 (π^3) Log[2])/77175)+((2559168250936 π ((Log[2])^2))/121550625)+((869092303187689101 π Log[3])/6873726860000)-((38438712 EulerGamma π Log[3])/2401)+(2956824/343) (π^3) Log[3]-((38438712 π Log[2] Log[3])/2401)-((19219356 π ((Log[3])^2))/2401)-((2386614853515625 π Log[5])/68215900896)+(((30294039845477593179773 π)/921298376538540000)-((12888220664 EulerGamma π)/17364375)+((137118536 (π^3))/70875)+((158582210776 π Log[2])/24310125)-((19219356 π Log[3])/2401)) Log[y]-((3222055166 π ((Log[y])^2))/17364375)+((274237072 π Zeta[3])/23625))+(y^13) ((176538264526096039025674251863176559931511/12080725340499801136900598850000)-((353478174503118856022673671993 EulerGamma)/4930006815284307660028125)-((6052071496369669007576 (EulerGamma^2))/67768582504998375)+((944401522241792 (EulerGamma^3))/102112943625)-((998157908898471375601753954999678561 (π^2))/2419231963056588277678080000)-((236100380560448 EulerGamma (π^2))/20422588725)-((8121232603174167086849684497356893 (π^4))/169881974897502370922496000)-((167517791710253563186933 (π^6))/26599385299156992)+((44336492264184971 (π^8))/2473901162496)-((2391680197355857250442263604613 Log[2])/986001363056861532005625)+((135256002913741398837136 EulerGamma Log[2])/338842912524991875)-((406079786503936 (EulerGamma^2) Log[2])/34037647875)+((101519946625984 (π^2) Log[2])/20422588725)+((398556230811507715727944 ((Log[2])^2))/338842912524991875)-((4763316682149632 EulerGamma ((Log[2])^2))/34037647875)-((18446613307903744 ((Log[2])^3))/102112943625)+((2816384787604142030112015537 Log[3])/1062860738741401600000)-((99158529284947683 EulerGamma Log[3])/160512852500)+(14784120/343) (EulerGamma^2) Log[3]-(6160050/343) (π^2) Log[3]-((1511734542752657799 Log[2] Log[3])/2086667082500)+(29568240/343) EulerGamma Log[2] Log[3]+(14784120/343) ((Log[2])^2) Log[3]-((99158529284947683 ((Log[3])^2))/321025705000)+(14784120/343) EulerGamma ((Log[3])^2)+(14784120/343) Log[2] ((Log[3])^2)+((4928040 ((Log[3])^3))/343)-((223117956124399651298828125 Log[5])/204933432692052320256)+((43113007812500 EulerGamma Log[5])/318405087)+((43113007812500 Log[2] Log[5])/318405087)+((21556503906250 ((Log[5])^2))/318405087)-((61039066859570427561777851 Log[7])/588420934931681280000)+((2025852318599963 EulerGamma Log[7])/115192935000)+((2025852318599963 Log[2] Log[7])/115192935000)+((2025852318599963 ((Log[7])^2))/230385870000)+(-(1439211304510744964534/67768582504998375)+((236100380560448 EulerGamma)/34037647875)-((101519946625984 Log[2])/34037647875)+((3696030 Log[3])/343)) ((Log[y])^2)+((118050190280224 ((Log[y])^3))/102112943625)+Log[y] (-(503449287685714810638592223993/9860013630568615320056250)-((5992854405395701360856 EulerGamma)/67768582504998375)+((472200761120896 (EulerGamma^2))/34037647875)-((118050190280224 (π^2))/20422588725)+((68662152607557260525768 Log[2])/338842912524991875)-((406079786503936 EulerGamma Log[2])/34037647875)-((2381658341074816 ((Log[2])^2))/34037647875)-((99158529284947683 Log[3])/321025705000)+(14784120/343) EulerGamma Log[3]+(14784120/343) Log[2] Log[3]+((7392060 ((Log[3])^2))/343)+((21556503906250 Log[5])/318405087)+((2025852318599963 Log[7])/230385870000)-((242694510592 Zeta[3])/9823275))-((26932694032319216 Zeta[3])/1327468267125)-((485389021184 EulerGamma Zeta[3])/9823275)+((1451228680192 Log[2] Zeta[3])/9823275)-(6823440/49) Log[3] Zeta[3]-((2937344 Zeta[5])/567))+(y^11) (-(238946786344653264799175280203/4522423405833558225000)-((8982774011612318193194 EulerGamma)/188246062513884375)+((742653529820948 (EulerGamma^2))/49165491375)-((187580416 (EulerGamma^3))/165375)-((1070208441923650860489683 (π^2))/58656715985387520000)+((46895104 EulerGamma (π^2))/33075)+((832229033014028790267991 (π^4))/1662461581197312000)+((54067065388369 (π^6))/12884901888)+((5597334601144521152662 Log[2])/188246062513884375)+((2019720449766952 EulerGamma Log[2])/49165491375)-((375160832 (EulerGamma^2) Log[2])/55125)+((93790208 (π^2) Log[2])/33075)+((902678188274452 ((Log[2])^2))/49165491375)-((750321664 EulerGamma ((Log[2])^2))/55125)-((1500643328 ((Log[2])^3))/165375)-((177654834337542021 Log[3])/10492954472000)+((79338802833 EulerGamma Log[3])/30830800)+((79338802833 Log[2] Log[3])/30830800)+((79338802833 ((Log[3])^2))/61661600)-((263296063591796875 Log[5])/8742130068672)+((7548828125 EulerGamma Log[5])/2038608)+((7548828125 Log[2] Log[5])/2038608)+((7548828125 ((Log[5])^2))/4077216)+((6491563697269 Log[7])/1181466000)+((185663382455237/49165491375)-((46895104 EulerGamma)/55125)-((93790208 Log[2])/55125)) ((Log[y])^2)-((23447552 ((Log[y])^3))/165375)-((128695611256 Zeta[3])/5457375)+(3506176/525) EulerGamma Zeta[3]+(7012352/525) Log[2] Zeta[3]+Log[y] (-(4601193623299972336597/188246062513884375)+((742653529820948 EulerGamma)/49165491375)-((93790208 (EulerGamma^2))/55125)+((23447552 (π^2))/33075)+((1009860224883476 Log[2])/49165491375)-((375160832 EulerGamma Log[2])/55125)-((375160832 ((Log[2])^2))/55125)+((79338802833 Log[3])/61661600)+((7548828125 Log[5])/4077216)+((1753088 Zeta[3])/525))+((32768 Zeta[5])/5))+(y^12) ((3814229145040080910470246242071097/13798711885916862654750000)-((104920962055679570667468467 EulerGamma)/325477442086506084375)+((859475918013064948 (EulerGamma^2))/22370298575625)-((577530944 (EulerGamma^3))/1157625)-((497508986166915487823810257447 (π^2))/36601790774881812480000)+((144382736 EulerGamma (π^2))/231525)+((1213451006696869077146724173 (π^4))/2234348365129187328000)-((5276940898567193189 (π^6))/25975962206208)-((208386366496262268773149363 Log[2])/325477442086506084375)+((2136046972307846632 EulerGamma Log[2])/22370298575625)+((6520945472 (EulerGamma^2) Log[2])/1157625)-((1630236368 (π^2) Log[2])/694575)+((100314129215858212 ((Log[2])^2))/1065252313125)+((73104832 EulerGamma ((Log[2])^2))/3675)+((56042175296 ((Log[2])^3))/3472875)-((85031228234940447355370199 Log[3])/162555171807508480000)+((13032078197827041 EulerGamma Log[3])/98196098000)-(2956824/343) (EulerGamma^2) Log[3]+(1232010/343) (π^2) Log[3]+((1257215927044419 Log[2] Log[3])/8926918000)-(5913648/343) EulerGamma Log[2] Log[3]-(2956824/343) ((Log[2])^2) Log[3]+((13032078197827041 ((Log[3])^2))/196392196000)-(2956824/343) EulerGamma ((Log[3])^2)-(2956824/343) Log[2] ((Log[3])^2)-((985608 ((Log[3])^3))/343)+((282725878023723294921875 Log[5])/829173552753401856)-((3087470703125 EulerGamma Log[5])/79505712)-((3087470703125 Log[2] Log[5])/79505712)-((3087470703125 ((Log[5])^2))/159011424)-((60335405593501190803 Log[7])/1792954994688000)+((217203330812155837/22370298575625)-((144382736 EulerGamma)/385875)+((1630236368 Log[2])/1157625)-((739206 Log[3])/343)) ((Log[y])^2)-((72191368 ((Log[y])^3))/1157625)-((2759468242424 Zeta[3])/19864845)+((152911232 EulerGamma Zeta[3])/11025)-((151168 Log[2] Zeta[3])/1225)+(1364688/49) Log[3] Zeta[3]+Log[y] (-(106987555782913089530047667/650954884173012168750)+((859475918013064948 EulerGamma)/22370298575625)-((288765472 (EulerGamma^2))/385875)+((72191368 (π^2))/231525)+((1072692188771702516 Log[2])/22370298575625)+((6520945472 EulerGamma Log[2])/1157625)+((36552416 ((Log[2])^2))/3675)+((13032078197827041 Log[3])/196392196000)-(2956824/343) EulerGamma Log[3]-(2956824/343) Log[2] Log[3]-((1478412 ((Log[3])^2))/343)-((3087470703125 Log[5])/159011424)+((76455616 Zeta[3])/11025))+((3283328 Zeta[5])/105))+(y^(35/2)) (-((3660775928010454287333951196645949755180188469814492305909098967 π)/89173483048400225469417104830671767562877586227200000000)+((350910574999437345543272005501591365836722893050753 EulerGamma π)/43072696744579758782771289543175028352000000)+((27801987203040168230582290494020587 (EulerGamma^2) π)/37846883898808900804826437500)-((7824673931746439190112 (EulerGamma^3) π)/58380522694003125)-((1234884810083433967599766582707604883328959 (π^3))/101616158292661184420101037184000000)+((135975306529968297616944332057 EulerGamma (π^3))/74135440831342972331250)+((141196558791986336 (EulerGamma^2) (π^3))/2406947956875)+((75368097590176234556539 (π^5))/161353767869043750)-((2084377819460416 EulerGamma (π^5))/72937816875)-((5555144728192 (π^7))/442047375)+((323091951333343135438733474954208468552251387071381481 π Log[2])/4522633158180874672190985402033377976960000000)-((16351736310044059824942492727740271 EulerGamma π Log[2])/1158578078534966351168156250)+((297480765769333023271456 (EulerGamma^2) π Log[2])/408663658858021875)+((18989398816625631325820435743501 (π^3) Log[2])/1556844257458202418956250)-((589897552263602700352 EulerGamma (π^3) Log[2])/353821349660625)-((457992774395081792 (π^5) Log[2])/1531694154375)-((3810047836898592277485459672168590399 π ((Log[2])^2))/113540651696426702414479312500)+((1744310964134798302210592 EulerGamma π ((Log[2])^2))/408663658858021875)-((1259414998725727846432 (π^3) ((Log[2])^2))/353821349660625)+((6207668445946075219323424 π ((Log[2])^3))/1225990976574065625)-((70766657247723935435624883979547825679049923 π Log[3])/868292233888962521586870482560000000)+((33399315692192839947840656487 EulerGamma π Log[3])/2158048155224899437500)-((14991097680 (EulerGamma^2) π Log[3])/16807)-((1852327975680299929144761 (π^3) Log[3])/177544068714512500)+((2306322720 EulerGamma (π^3) Log[3])/2401)+(35481888/343) (π^5) Log[3]+((42355014562006777270430864487 π Log[2] Log[3])/2158048155224899437500)-((29982195360 EulerGamma π Log[2] Log[3])/16807)+((2306322720 (π^3) Log[2] Log[3])/2401)-((14991097680 π ((Log[2])^2) Log[3])/16807)+((33399315692192839947840656487 π ((Log[3])^2))/4316096310449798875000)-((14991097680 EulerGamma π ((Log[3])^2))/16807)+((1153161360 (π^3) ((Log[3])^2))/2401)-((14991097680 π Log[2] ((Log[3])^2))/16807)-((4997032560 π ((Log[3])^3))/16807)+((24172699793082503525931691182823356142578125 π Log[5])/662975611268182915367331055979606016)-((779829814633228955078125 EulerGamma π Log[5])/177576533915648868)+((30915619309544189453125 (π^3) Log[5])/7607292309132516)-((779829814633228955078125 π Log[2] Log[5])/177576533915648868)-((779829814633228955078125 π ((Log[5])^2))/355153067831297736)+((7743725256613315135479797251041529913 π Log[7])/1591589118798772147042560000000)-((126524977289134992958229 EulerGamma π Log[7])/158235135140671875)+((296509822907246384569 (π^3) Log[7])/286398434643750)-((126524977289134992958229 π Log[2] Log[7])/158235135140671875)-((126524977289134992958229 π ((Log[7])^2))/316470270281343750)+(((21208138452502943622971036231031787 π)/151387535595235603219305750000)-((1956168482936609797528 EulerGamma π)/19460174231334375)+((35299139697996584 (π^3))/2406947956875)+((74370191442333255817864 π Log[2])/408663658858021875)-((3747774420 π Log[3])/16807)) ((Log[y])^2)-((978084241468304898764 π ((Log[y])^3))/58380522694003125)+((6764256100981908780356962301 π Zeta[3])/1347917106024417678750)+((282393117583972672 EulerGamma π Zeta[3])/802315985625)+((2084377819460416 (π^3) Zeta[3])/4862521125)-((589897552263602700352 π Log[2] Zeta[3])/117940449886875)+((6918968160 π Log[3] Zeta[3])/2401)+Log[y] (((383045202261741796774463956650694491553609353876353 π)/86145393489159517565542579086350056704000000)+((26153525015405862078679476928273387 EulerGamma π)/37846883898808900804826437500)-((3912336965873219595056 (EulerGamma^2) π)/19460174231334375)+((138087768982934086283714559257 (π^3))/148270881662685944662500)+((141196558791986336 EulerGamma (π^3))/2406947956875)-((1042188909730208 (π^5))/72937816875)-((16654515079201381363047091137775471 π Log[2])/2317156157069932702336312500)+((297480765769333023271456 EulerGamma π Log[2])/408663658858021875)-((294948776131801350176 (π^3) Log[2])/353821349660625)+((872155482067399151105296 π ((Log[2])^2))/408663658858021875)+((33399315692192839947840656487 π Log[3])/4316096310449798875000)-((14991097680 EulerGamma π Log[3])/16807)+((1153161360 (π^3) Log[3])/2401)-((14991097680 π Log[2] Log[3])/16807)-((7495548840 π ((Log[3])^2))/16807)-((779829814633228955078125 π Log[5])/355153067831297736)-((126524977289134992958229 π Log[7])/316470270281343750)+((141196558791986336 π Zeta[3])/802315985625))-((2084377819460416 π Zeta[5])/1620840375))+(y^(33/2)) (-((3663521874865238398016166370474885768044569468098365923 π)/332573428197543107207579532593969612851200000000)+((3073199056132621252512168320583128626005041 EulerGamma π)/521171439874598828305993242240000000)-((5930646367149118394888262263 (EulerGamma^2) 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(π^3))/2109199579987500)-((321137672192 (EulerGamma^2) (π^3))/17364375)+((4534046533492481 (π^5))/2107092487500)-((6002573312 EulerGamma (π^5))/2480625)-((112197632 (π^7))/496125)-((1076701859759111021701344326257357717 π Log[2])/657991576279945595691753750000)-((1059998450027149657274519909 EulerGamma π Log[2])/1995186796691275687500)+((68723461849088 (EulerGamma^2) π Log[2])/607753125)-((3778100743684406295749 (π^3) Log[2])/18982796219887500)-((1284550688768 EulerGamma (π^3) Log[2])/17364375)-((12005146624 (π^5) Log[2])/2480625)+((25461071612459307620373937 π ((Log[2])^2))/362761235762050125000)+((137446923698176 EulerGamma π ((Log[2])^2))/607753125)-((1284550688768 (π^3) ((Log[2])^2))/17364375)+((274893847396352 π ((Log[2])^3))/1823259375)+((7995187339602237315893123293653 π Log[3])/13711374759036921066100000)-((20303507641082448267 EulerGamma π Log[3])/386156155385000)+((2196140930137593 (π^3) Log[3])/77154077000)-((20303507641082448267 π Log[2] Log[3])/386156155385000)-((20303507641082448267 π ((Log[3])^2))/772312310770000)+((11492894684909498596923828125 π Log[5])/11391889803756706179936)-((22553218603515625 EulerGamma π Log[5])/187593727464)+((145881103515625 (π^3) Log[5])/1311844248)-((22553218603515625 π Log[2] Log[5])/187593727464)-((22553218603515625 π ((Log[5])^2))/375187454928)-((405431798669091995227 π Log[7])/1622924462981250)+(-((116106125514835430463890813 π)/1773499374836689500000)+((8590432731136 EulerGamma π)/607753125)-((80284418048 (π^3))/17364375)+((17180865462272 π Log[2])/607753125)) ((Log[y])^2)+((4295216365568 π ((Log[y])^3))/1823259375)+((363927916093995533873 π Zeta[3])/984293137327500)-((642275344384 EulerGamma π Zeta[3])/5788125)+((6002573312 (π^3) Zeta[3])/165375)-((1284550688768 π Log[2] Zeta[3])/5788125)+Log[y] (((21971447364531347929250539430730342713 π)/47229173141871650535208102500000)-((116106125514835430463890813 EulerGamma π)/443374843709172375000)+((17180865462272 (EulerGamma^2) π)/607753125)+((203635088207963075107 (π^3))/4218399159975000)-((321137672192 EulerGamma (π^3))/17364375)-((3001286656 (π^5))/2480625)-((1059998450027149657274519909 π Log[2])/3990373593382551375000)+((68723461849088 EulerGamma π Log[2])/607753125)-((642275344384 (π^3) Log[2])/17364375)+((68723461849088 π ((Log[2])^2))/607753125)-((20303507641082448267 π Log[3])/772312310770000)-((22553218603515625 π Log[5])/375187454928)-((321137672192 π Zeta[3])/5788125))-((6002573312 π Zeta[5])/55125))+(y^16) (-(3162653791929000950479669897556658865358703349292844977706507293/70379967300204750957686671419345014555998903125000)-((107918812223770302475415176959212530162071195835841 EulerGamma)/2208316971768005211030754590836610340312500)+((9649620904909783987511693421861739682093 (EulerGamma^2))/1649774054312004092757988030453125)+((1399876087154493678705062896 (EulerGamma^3))/10378961716388016126375)-((11843174218063192768 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Log[2])/353821349660625)-((96096780 Log[3])/2401)) ((Log[y])^3)-((740198388628949548 ((Log[y])^4))/353821349660625)-((2757765946413110665643554598906 Zeta[3])/65733424203790768800375)+((6556786038516488596500512 EulerGamma Zeta[3])/1016528737574975625)+((4706221256122112 (EulerGamma^2) Zeta[3])/34037647875)-((1176555314030528 (π^2) Zeta[3])/20422588725)+((42456063452583294944520224 Log[2] Zeta[3])/1016528737574975625)-((192805290070426112 EulerGamma Log[2] Zeta[3])/34037647875)-((36783811947250432 ((Log[2])^2) Zeta[3])/3094331625)-((18198349010274452751 Log[3] Zeta[3])/521666770625)+(1064456640/343) EulerGamma Log[3] Zeta[3]+(1064456640/343) Log[2] Log[3] Zeta[3]+(532228320/343) ((Log[3])^2) Zeta[3]+((4311300781250000 Log[5] Zeta[3])/318405087)+((99266763611398187 Log[7] Zeta[3])/28798233750)+((7739106583808 ((Zeta[3])^2))/9823275)+((Log[y])^2) ((10736746477513475840247773002003179986093/6599096217248016371031952121812500)+((300678231219421684118293756 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Zeta[5])/9823275)+(245643840/49) Log[3] Zeta[5]-((19221996032 Zeta[7])/2835))+(y^15) ((298267427515018397019736592175289419501391539444290849/6587612222544653226142468405031917319531250)-((6807661768453637768313286948060329087501419 EulerGamma)/704310948124803722562607729544062500)+((1598346944412603247831006289829388 (EulerGamma^2))/526171715038677033591890625)-((100764714621597102764416 (EulerGamma^3))/335890033113009375)+((461219496448 (EulerGamma^4))/72930375)-((28338275082077591587855063450276303790065762907243197 (π^2))/999703155845143418115744045792755712000000)+((25191178655399275691104 EulerGamma (π^2))/67178006622601875)-((230609748224 (EulerGamma^2) (π^2))/14586075)+((105480323357757226894713787760391180776248036241 (π^4))/304245354831316028025099055320268800000)+((1262360576 EulerGamma (π^4))/385875)-((6208472839612966972691457131143 (π^6))/266930151354100246118400)+((3573178781920929118281329 (π^8))/151996487423754240)-((181636067216895220421537747685253699734494659 Log[2])/6338798533123233503063469565896562500)+((74203662155219108543799531653010136 EulerGamma Log[2])/4735545435348093302327015625)-((1482169326522492515499392 (EulerGamma^2) Log[2])/1007670099339028125)-((4905667647488 (EulerGamma^3) Log[2])/364651875)+((371228115490667668451168 (π^2) Log[2])/604602059603416875)+((1226416911872 EulerGamma (π^2) Log[2])/72930375)+((23792072704 (π^4) Log[2])/17364375)+((3878258674166628974595420635200204 ((Log[2])^2))/189421817413923732093080625)-((3440856379914601692151168 EulerGamma ((Log[2])^2))/1007670099339028125)-((16582891400192 (EulerGamma^2) ((Log[2])^2))/121550625)+((4145722850048 (π^2) ((Log[2])^2))/72930375)-((177896086126482679647872 ((Log[2])^3))/54963823600310625)-((89686013106176 EulerGamma ((Log[2])^3))/364651875)-((10136323685888 ((Log[2])^4))/72930375)-((4141158375397180302387095124935855747727 Log[3])/108266631596274488880198656000000)+((9459358001131575454332055276239 EulerGamma Log[3])/691550339662092951040000)-((394391535968370807369 (EulerGamma^2) Log[3])/245735735245000)+((153754848 (EulerGamma^3) Log[3])/2401)+((131463845322790269123 (π^2) Log[3])/196588588196000)-((192193560 EulerGamma (π^2) Log[3])/2401)+((8870472 (π^4) Log[3])/1715)+((214411501060211389845962927148381 Log[2] Log[3])/13139456453579766069760000)-((437493411770075173449 EulerGamma Log[2] Log[3])/122867867622500)+((461264544 (EulerGamma^2) Log[2] Log[3])/2401)-((192193560 (π^2) Log[2] Log[3])/2401)-((523697163373483905609 ((Log[2])^2) Log[3])/245735735245000)+((461264544 EulerGamma ((Log[2])^2) Log[3])/2401)+((153754848 ((Log[2])^3) Log[3])/2401)+((45454535766189065888302299261759 ((Log[3])^2))/6569728226789883034880000)-((394391535968370807369 EulerGamma ((Log[3])^2))/245735735245000)+((230632272 (EulerGamma^2) ((Log[3])^2))/2401)-((96096780 (π^2) ((Log[3])^2))/2401)-((437493411770075173449 Log[2] ((Log[3])^2))/245735735245000)+((461264544 EulerGamma Log[2] ((Log[3])^2))/2401)+((230632272 ((Log[2])^2) ((Log[3])^2))/2401)-((131463845322790269123 ((Log[3])^3))/245735735245000)+((153754848 EulerGamma ((Log[3])^3))/2401)+((153754848 Log[2] ((Log[3])^3))/2401)+((38438712 ((Log[3])^4))/2401)+((978612948501709853277095576118865234375 Log[5])/17942749191956127021132384903168)-((2505842696993145943705498046875 EulerGamma Log[5])/201068160447666111215616)+((11933074267578125 (EulerGamma^2) Log[5])/17053975224)-((59665371337890625 (π^2) Log[5])/204647702688)-((2505842696993145943705498046875 Log[2] Log[5])/201068160447666111215616)+((11933074267578125 EulerGamma Log[2] Log[5])/8526987612)+((11933074267578125 ((Log[2])^2) Log[5])/17053975224)-((2505842696993145943705498046875 ((Log[5])^2))/402136320895332222431232)+((11933074267578125 EulerGamma ((Log[5])^2))/17053975224)+((11933074267578125 Log[2] ((Log[5])^2))/17053975224)+((11933074267578125 ((Log[5])^3))/51161925672)-((5858006173792308915665113013914648081 Log[7])/323919193207512802977792000000)+((47929508316470415142010251 EulerGamma Log[7])/28232317585105920000)+((47929508316470415142010251 Log[2] Log[7])/28232317585105920000)+((47929508316470415142010251 ((Log[7])^2))/56464635170211840000)+((7400249944258160101211 Log[11])/65676344832000000)+(-(12786084844378676616752/335890033113009375)+((230609748224 EulerGamma)/72930375)-((613208455936 Log[2])/364651875)+((19219356 Log[3])/2401)) ((Log[y])^3)+((28826218528 ((Log[y])^4))/72930375)+((Log[y])^2) ((413679313622813491775399911327747/526171715038677033591890625)-((25191178655399275691104 EulerGamma)/111963344371003125)+((230609748224 (EulerGamma^2))/24310125)-((57652437056 (π^2))/14586075)-((372256791280734477815648 Log[2])/1007670099339028125)-((1226416911872 EulerGamma Log[2])/121550625)-((4145722850048 ((Log[2])^2))/121550625)-((394391535968370807369 Log[3])/982942940980000)+((115316136 EulerGamma Log[3])/2401)+((115316136 Log[2] Log[3])/2401)+((57658068 ((Log[3])^2))/2401)+((11933074267578125 Log[5])/68215900896)-((1262360576 Zeta[3])/25725))-((2069543450583769619340376724 Zeta[3])/325477442086506084375)+((65195026298245007936 EulerGamma Zeta[3])/22370298575625)-((5049442304 (EulerGamma^2) Zeta[3])/25725)+((1262360576 (π^2) Zeta[3])/15435)+((151670998244849797696 Log[2] Zeta[3])/22370298575625)-((190336581632 EulerGamma Log[2] Zeta[3])/1157625)+((56314978304 ((Log[2])^2) Zeta[3])/385875)+((28863591064624341 Log[3] Zeta[3])/4909804900)-(212891328/343) EulerGamma Log[3] Zeta[3]-(212891328/343) Log[2] Log[3] Zeta[3]-(106445664/343) ((Log[3])^2) Zeta[3]-((77186767578125 Log[5] Zeta[3])/19876428)+((171722752 ((Zeta[3])^2))/441)+Log[y] (-(7193792790228353567412766021999401477645419/1408621896249607445125215459088125000)+((1602437584989114515632329710949388 EulerGamma)/526171715038677033591890625)-((50382357310798551382208 (EulerGamma^2))/111963344371003125)+((922438992896 (EulerGamma^3))/72930375)+((12671787534371253354032 (π^2))/67178006622601875)-((230609748224 EulerGamma (π^2))/14586075)+((631180288 (π^4))/385875)+((37392531323800069473348412612252268 Log[2])/4735545435348093302327015625)-((1482169326522492515499392 EulerGamma Log[2])/1007670099339028125)-((2452833823744 (EulerGamma^2) Log[2])/121550625)+((613208455936 (π^2) Log[2])/72930375)-((1722142649607412195016384 ((Log[2])^2))/1007670099339028125)-((16582891400192 EulerGamma ((Log[2])^2))/121550625)-((44843006553088 ((Log[2])^3))/364651875)+((9459358001131575454332055276239 Log[3])/1383100679324185902080000)-((394391535968370807369 EulerGamma Log[3])/245735735245000)+((230632272 (EulerGamma^2) Log[3])/2401)-((96096780 (π^2) Log[3])/2401)-((437493411770075173449 Log[2] Log[3])/245735735245000)+((461264544 EulerGamma Log[2] Log[3])/2401)+((230632272 ((Log[2])^2) Log[3])/2401)-((394391535968370807369 ((Log[3])^2))/491471470490000)+((230632272 EulerGamma ((Log[3])^2))/2401)+((230632272 Log[2] ((Log[3])^2))/2401)+((76877424 ((Log[3])^3))/2401)-((2505842696993145943705498046875 Log[5])/402136320895332222431232)+((11933074267578125 EulerGamma Log[5])/17053975224)+((11933074267578125 Log[2] Log[5])/17053975224)+((11933074267578125 ((Log[5])^2))/34107950448)+((47929508316470415142010251 Log[7])/56464635170211840000)+((32746911632891438368 Zeta[3])/22370298575625)-((5049442304 EulerGamma Zeta[3])/25725)-((95168290816 Log[2] Zeta[3])/1157625)-(106445664/343) Log[3] Zeta[3]-((171722752 Zeta[5])/441))+((1613866959570176 Zeta[5])/496621125)-(343445504/441) EulerGamma Zeta[5]-((2039263232 Log[2] Zeta[5])/3675)-(49128768/49) Log[3] Zeta[5]-((146997248 Zeta[7])/105))+(y^14) ((7647098140530742492447872959081744246992668594488563/38793447022714189038748433743286962500000)+((15947830750497868622646711246968991748 EulerGamma)/83321921934949701654443839921875)+((65356696471153627499011068136 (EulerGamma^2))/248990243196177154546875)-((228430537735225191424 (EulerGamma^3))/3019990307709375)+((80284418048 (EulerGamma^4))/17364375)-((628177633244283000363935991507522675247044751 (π^2))/136883833798485426048149225472000000)+((57107634433806297856 EulerGamma (π^2))/603998061541875)-((40142209024 (EulerGamma^2) (π^2))/3472875)-((607889049701144390059040525838664585118987 (π^4))/870665507186687351262302699520000)+((750321664 EulerGamma (π^4))/826875)-((23889668545896287484054525241 (π^6))/297913115350558310400)-((112360598489859912265 (π^8))/158329674399744)+((11875418467029022579146973635501311748956 Log[2])/916541141284446718198882239140625)-((7391549862100913316822984064016 EulerGamma Log[2])/2738892675157948700015625)-((1874587628385163977728 (EulerGamma^2) Log[2])/11073297794934375)+((642275344384 (EulerGamma^3) Log[2])/17364375)+((468646907096290994432 (π^2) Log[2])/6643978676960625)-((160568836096 EulerGamma (π^2) Log[2])/3472875)+((1500643328 (π^4) Log[2])/826875)-((1181557843633631681968479098248 ((Log[2])^2))/161111333832820511765625)+((3594766033080299346944 EulerGamma ((Log[2])^2))/11073297794934375)+((642275344384 (EulerGamma^2) ((Log[2])^2))/5788125)-((160568836096 (π^2) ((Log[2])^2))/3472875)+((27112644620193737202688 ((Log[2])^3))/33219893384803125)+((2569101377536 EulerGamma ((Log[2])^3))/17364375)+((1284550688768 ((Log[2])^4))/17364375)-((17686402140908942938597112548594497 Log[3])/3510111938313451792921600000)+((24025948932648830737662 EulerGamma Log[3])/37863990164625625)-((2196140930137593 (EulerGamma^2) Log[3])/77154077000)+((732046976712531 (π^2) Log[3])/61723261600)+((8696522397053744385894 Log[2] Log[3])/7572798032925125)-((2196140930137593 EulerGamma Log[2] Log[3])/38577038500)-((2196140930137593 ((Log[2])^2) Log[3])/77154077000)+((12012974466324415368831 ((Log[3])^2))/37863990164625625)-((2196140930137593 EulerGamma ((Log[3])^2))/77154077000)-((2196140930137593 Log[2] ((Log[3])^2))/77154077000)-((732046976712531 ((Log[3])^3))/77154077000)-((220953001673441942899621539162109375 Log[5])/45879605860531328415424806912)+((7689324236627626953125 EulerGamma Log[5])/6973351283371473)-((29176220703125 (EulerGamma^2) Log[5])/437281416)+((145881103515625 (π^2) Log[5])/5247376992)+((7689324236627626953125 Log[2] Log[5])/6973351283371473)-((29176220703125 EulerGamma Log[2] Log[5])/218640708)-((29176220703125 ((Log[2])^2) Log[5])/437281416)+((7689324236627626953125 ((Log[5])^2))/13946702566742946)-((29176220703125 EulerGamma ((Log[5])^2))/437281416)-((29176220703125 Log[2] ((Log[5])^2))/437281416)-((29176220703125 ((Log[5])^3))/1311844248)+((3398415392329089282183401836097 Log[7])/1150362927791436902400000)-((135732105346197521 EulerGamma Log[7])/489569973750)-((135732105346197521 Log[2] Log[7])/489569973750)-((135732105346197521 ((Log[7])^2))/979139947500)-((7400249944258160101211 Log[11])/1711963388620800000)+(-(28553817216903148928/3019990307709375)+((40142209024 EulerGamma)/17364375)+((80284418048 Log[2])/17364375)) ((Log[y])^3)+((5017776128 ((Log[y])^4))/17364375)+((Log[y])^2) ((17574250279095461569220607034/248990243196177154546875)-((57107634433806297856 EulerGamma)/1006663435903125)+((40142209024 (EulerGamma^2))/5788125)-((10035552256 (π^2))/3472875)-((468646907096290994432 Log[2])/11073297794934375)+((160568836096 EulerGamma Log[2])/5788125)+((160568836096 ((Log[2])^2))/5788125)-((2196140930137593 Log[3])/308616308000)-((29176220703125 Log[5])/1749125664)-((750321664 Zeta[3])/55125))+((34056963766059859222016 Zeta[3])/112947637508330625)+((69826396001355584 EulerGamma Zeta[3])/245827456875)-((3001286656 (EulerGamma^2) Zeta[3])/55125)+((750321664 (π^2) Zeta[3])/33075)-((179474126532720832 Log[2] Zeta[3])/245827456875)-((12005146624 EulerGamma Log[2] Zeta[3])/55125)-((12005146624 ((Log[2])^2) Zeta[3])/55125)+((714049225497 Log[3] Zeta[3])/7707700)+((188720703125 Log[5] Zeta[3])/509652)+((28049408 ((Zeta[3])^2))/525)+Log[y] ((2282083167939407334486427160861545874/83321921934949701654443839921875)+((65779211571836694743663868136 EulerGamma)/248990243196177154546875)-((114215268867612595712 (EulerGamma^2))/1006663435903125)+((160568836096 (EulerGamma^3))/17364375)+((28553817216903148928 (π^2))/603998061541875)-((40142209024 EulerGamma (π^2))/3472875)+((375160832 (π^4))/826875)-((3663930659384415611091184832008 Log[2])/2738892675157948700015625)-((1874587628385163977728 EulerGamma Log[2])/11073297794934375)+((321137672192 (EulerGamma^2) Log[2])/5788125)-((80284418048 (π^2) Log[2])/3472875)+((1797383016540149673472 ((Log[2])^2))/11073297794934375)+((642275344384 EulerGamma ((Log[2])^2))/5788125)+((1284550688768 ((Log[2])^3))/17364375)+((12012974466324415368831 Log[3])/37863990164625625)-((2196140930137593 EulerGamma Log[3])/77154077000)-((2196140930137593 Log[2] Log[3])/77154077000)-((2196140930137593 ((Log[3])^2))/154308154000)+((7689324236627626953125 Log[5])/13946702566742946)-((29176220703125 EulerGamma Log[5])/437281416)-((29176220703125 Log[2] Log[5])/437281416)-((29176220703125 ((Log[5])^2))/874562832)-((135732105346197521 Log[7])/979139947500)+((34913198000677792 Zeta[3])/245827456875)-((3001286656 EulerGamma Zeta[3])/55125)-((6002573312 Log[2] Zeta[3])/55125)-((28049408 Zeta[5])/525))-((136653797888 Zeta[5])/779625)-(56098816/525) EulerGamma Zeta[5]-(112197632/525) Log[2] Zeta[5]-((524288 Zeta[7])/5))+(y^(37/2)) (-((1450266399177544999773944769253284674418687327326505870512950111713408303197 π)/(14903897888988663110457336558537600299636803572432141281280000000000))+((38211141656403066372069672597828117720636351485986209115781 EulerGamma π)/2001919069872490693907531987039147080703968800000000)-((85094142711876658445661095491639767356530087 (EulerGamma^2) π)/15776690226628810981449008103229687500)+((56225557382991466927743302446567 (EulerGamma^3) π)/44936594628479256671718750)-((14706820835704832 (EulerGamma^4) π)/191442234375)-((1324448698259793246181683446243408499378512471369711 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Zeta[3])/5788125)+((12005146624 Zeta[5])/55125))+((17441767584512 Zeta[7])/5457375)+(897581056/525) EulerGamma Zeta[7]+(1795162112/525) Log[2] Zeta[7]+Log[y] (-(1578631997848876679858135522360373722003534072986904045678/38655663858067003366911239984109951176590306640625)+((3642579228070587976281705514712352602899413197 EulerGamma)/3983255721082260481657205250426786328125)-((100192418505435949384346840839151488 (EulerGamma^2))/109778553273978526553944453125)+((70191048440011336799174272 (EulerGamma^3))/136035463410768796875)-((68723461849088 (EulerGamma^4))/1823259375)+((29432441634202801530958067267195872 (π^2))/65867131964387115932366671875)-((17547762110002834199793568 EulerGamma (π^2))/27207092682153759375)+((34361730924544 (EulerGamma^2) (π^2))/364651875)-((151254535754776450288 (π^4))/33219893384803125)-((642275344384 EulerGamma (π^4))/86821875)-((12005146624 (π^6))/10418625)-((5777989513268666065322292544462930468931892811 Log[2])/32919468769274880013695911160551953125)+((682367783047212443982804512499688753408 EulerGamma Log[2])/13283204946151401713027278828125)-((583012025317708119407218816 (EulerGamma^2) Log[2])/498796699172818921875)-((549787694792704 (EulerGamma^3) Log[2])/1823259375)+((145753006329427029851804704 (π^2) Log[2])/299278019503691353125)+((137446923698176 EulerGamma (π^2) Log[2])/364651875)-((1284550688768 (π^4) Log[2])/86821875)+((1569275551716610639208410541032480263808 ((Log[2])^2))/13283204946151401713027278828125)-((6033552898736300982398767232 EulerGamma ((Log[2])^2))/498796699172818921875)-((549787694792704 (EulerGamma^2) ((Log[2])^2))/607753125)+((137446923698176 (π^2) ((Log[2])^2))/364651875)-((25155575916882268352167694464 ((Log[2])^3))/1496390097518456765625)-((2199150779170816 EulerGamma ((Log[2])^3))/1823259375)-((1099575389585408 ((Log[2])^4))/1823259375)+((16062215389752133564256316464530735437996957 Log[3])/136445922468265539106508218688000000)-((344043077479470359004861430443 EulerGamma Log[3])/27422749518073842132200)+((60910522923247344801 (EulerGamma^2) Log[3])/193078077692500)-((20303507641082448267 (π^2) Log[3])/154462462154000)-((81045030017187960731464296654207 Log[2] Log[3])/3427843689759230266525000)+((60910522923247344801 EulerGamma Log[2] Log[3])/96539038846250)+((60910522923247344801 ((Log[2])^2) Log[3])/193078077692500)-((344043077479470359004861430443 ((Log[3])^2))/54845499036147684264400)+((60910522923247344801 EulerGamma ((Log[3])^2))/193078077692500)+((60910522923247344801 Log[2] ((Log[3])^2))/193078077692500)+((20303507641082448267 ((Log[3])^3))/193078077692500)+((4113451167892075248920270835225520302734375 Log[5])/46524604299521608095953056559972352)-((57464473424547492984619140625 EulerGamma Log[5])/2847972450939176544984)+((112766093017578125 (EulerGamma^2) Log[5])/93796863732)-((563830465087890625 (π^2) Log[5])/1125562364784)-((57464473424547492984619140625 Log[2] Log[5])/2847972450939176544984)+((112766093017578125 EulerGamma Log[2] Log[5])/46898431866)+((112766093017578125 ((Log[2])^2) Log[5])/93796863732)-((57464473424547492984619140625 ((Log[5])^2))/5695944901878353089968)+((112766093017578125 EulerGamma ((Log[5])^2))/93796863732)+((112766093017578125 Log[2] ((Log[5])^2))/93796863732)+((112766093017578125 ((Log[5])^3))/281390591196)-((20876352399132141338265260805283945961 Log[7])/277746501193284004307712000000)+((5676045181367287933178 EulerGamma Log[7])/811462231490625)+((5676045181367287933178 Log[2] Log[7])/811462231490625)+((2838022590683643966589 ((Log[7])^2))/811462231490625)+((71390211212258470496382517 Log[11])/413439158351923200000)-((4613073242987242076735376654688 Zeta[3])/1643335605094769220009375)-((2755091224281457842304 EulerGamma Zeta[3])/2214659558986875)+((2569101377536 (EulerGamma^2) Zeta[3])/5788125)-((642275344384 (π^2) Zeta[3])/3472875)+((38371662177613656401792 Log[2] Zeta[3])/2214659558986875)+((10276405510144 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Log[5])/(517816735550890296416644114049193710083132240250451284765840494559232))+((5442067929137987784957047625338475519145302358481109130859375 (EulerGamma^3) Log[5])/143274625220839132375618350068889383325953289618432)-((12523770432792586159462026076844482421875 (EulerGamma^4) Log[5])/5566799178869196512016438203538)+((673810107947004394531250 (EulerGamma^5) Log[5])/12946851448575759)+((744670440411601828633779245429104689769963067074534783825654965317424284423828125 (π^2) Log[5])/(6213800826610683556999729368590324520997586883005415417190085934710784))-((27210339645689938924785238126692377595726511792405545654296875 EulerGamma (π^2) Log[5])/573098500883356529502473400275557533303813158473728)+((62618852163962930797310130384222412109375 (EulerGamma^2) (π^2) Log[5])/11133598357738393024032876407076)-((8422626349337554931640625 (EulerGamma^3) (π^2) Log[5])/38840554345727277)+((3123416144902756188019378430964537489604510009765625 (π^4) 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Zeta[5])/607753125)-((9867504713566069857762 Log[3] Zeta[5])/48269519423125)-((140957616271972656250 Log[5] Zeta[5])/23449215933)-((328844976324608 Zeta[3] Zeta[5])/5788125)-((53824891122625777946061056 Zeta[7])/11073297794934375)+((328844976324608 EulerGamma Zeta[7])/5788125)+((657689952649216 Log[2] Zeta[7])/5788125)+((3073317535744 Zeta[9])/55125))-((3013783325044983808 Zeta[11])/5457375)+(229780750336/525) EulerGamma Zeta[11]+(459561500672/525) Log[2] Zeta[11]+Log[y] (-376272744786535188860190242960387851431930554490043053956735185647875256871848548272738615560470450985013803031501/1379977533858928874361092630674968224929040276497275187810206085942399217624689187346786902197265625000+(91715563184334293010966997752211374248282193236655293261722997224871029766204601423259594290926369 EulerGamma)/403170298866081243161833766315455598213197895426853323419858036405842053541457031250000-((126865040775615272178182041748571830685462460263329142926708617218680280445110402046 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Log[3])/241830533657453365625)+((7883885604602628641950837250336057983795321671 (π^2) Log[2] Log[3])/895847772352532062089934436841812500)-((3136031721048084370946279487 EulerGamma (π^2) Log[2] Log[3])/48366106731490673125)+((5075438619005410057822107 (π^4) Log[2] Log[3])/1207944723563703125)+((112527365502907055088536616121076244221551841509472681491685643 ((Log[2])^2) Log[3])/259377404614386588790423099592978362153513400000000)-((46837470764608023369827630335942077520795505109 EulerGamma ((Log[2])^2) Log[3])/1119809715440665077612418046052265625)+((18816190326288506225677676922 (EulerGamma^2) ((Log[2])^2) Log[3])/241830533657453365625)-((3136031721048084370946279487 (π^2) ((Log[2])^2) Log[3])/96732213462981346250)-((31069699555402766085925955835269961553204861767 ((Log[2])^3) Log[3])/1119809715440665077612418046052265625)+((12544126884192337483785117948 EulerGamma ((Log[2])^3) Log[3])/241830533657453365625)+((3136031721048084370946279487 ((Log[2])^4) 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Log[5])/95516416813892754917078900045926255550635526412288)-((12523770432792586159462026076844482421875 (EulerGamma^3) Log[5])/2783399589434598256008219101769)+((1684525269867510986328125 (EulerGamma^4) Log[5])/12946851448575759)-((27210339645689938924785238126692377595726511792405545654296875 (π^2) Log[5])/1146197001766713059004946800551115066607626316947456)+((62618852163962930797310130384222412109375 EulerGamma (π^2) Log[5])/11133598357738393024032876407076)-((8422626349337554931640625 (EulerGamma^2) (π^2) Log[5])/25893702897151518)-((168311263037419817344219986572265625 (π^4) Log[5])/290783683185791803595956368)+((2179204747564697265625 EulerGamma (π^4) Log[5])/30179140905771)+((140957616271972656250 (π^6) Log[5])/4431901811337)-((85178202847288322862464250067043733896740719519755295223181553063484856884765625 Log[2] Log[5])/(517816735550890296416644114049193710083132240250451284765840494559232))+((4950853158722973951242445460528119990850902358481109130859375 EulerGamma Log[2] Log[5])/47758208406946377458539450022963127775317763206144)-((12523770432792586159462026076844482421875 (EulerGamma^2) Log[2] Log[5])/927799863144866085336073033923)+((6738101079470043945312500 (EulerGamma^3) Log[2] Log[5])/12946851448575759)+((62618852163962930797310130384222412109375 (π^2) Log[2] Log[5])/11133598357738393024032876407076)-((8422626349337554931640625 EulerGamma (π^2) Log[2] Log[5])/12946851448575759)+((2179204747564697265625 (π^4) Log[2] Log[5])/30179140905771)+((3968423617892946283813241130907408934262102358481109130859375 ((Log[2])^2) Log[5])/95516416813892754917078900045926255550635526412288)-((12523770432792586159462026076844482421875 EulerGamma ((Log[2])^2) Log[5])/927799863144866085336073033923)+((3369050539735021972656250 (EulerGamma^2) ((Log[2])^2) Log[5])/4315617149525253)-((8422626349337554931640625 (π^2) ((Log[2])^2) Log[5])/25893702897151518)-((12523770432792586159462026076844482421875 ((Log[2])^3) Log[5])/2783399589434598256008219101769)+((6738101079470043945312500 EulerGamma ((Log[2])^3) Log[5])/12946851448575759)+((1684525269867510986328125 ((Log[2])^4) Log[5])/12946851448575759)-((148934088082320365726755849085820937953992613414906956765130993063484856884765625 ((Log[5])^2))/(1035633471101780592833288228098387420166264480500902569531680989118464))+((5442067929137987784957047625338475519145302358481109130859375 EulerGamma ((Log[5])^2))/95516416813892754917078900045926255550635526412288)-((12523770432792586159462026076844482421875 (EulerGamma^2) ((Log[5])^2))/1855599726289732170672146067846)+((3369050539735021972656250 (EulerGamma^3) ((Log[5])^2))/12946851448575759)+((62618852163962930797310130384222412109375 (π^2) ((Log[5])^2))/22267196715476786048065752814152)-((8422626349337554931640625 EulerGamma (π^2) ((Log[5])^2))/25893702897151518)+((2179204747564697265625 (π^4) ((Log[5])^2))/60358281811542)+((4950853158722973951242445460528119990850902358481109130859375 Log[2] 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((Log[5])^3))/77681108691454554)-((12523770432792586159462026076844482421875 Log[2] ((Log[5])^3))/2783399589434598256008219101769)+((6738101079470043945312500 EulerGamma Log[2] ((Log[5])^3))/12946851448575759)+((3369050539735021972656250 ((Log[2])^2) ((Log[5])^3))/12946851448575759)-((12523770432792586159462026076844482421875 ((Log[5])^4))/11133598357738393024032876407076)+((1684525269867510986328125 EulerGamma ((Log[5])^4))/12946851448575759)+((1684525269867510986328125 Log[2] ((Log[5])^4))/12946851448575759)+((336905053973502197265625 ((Log[5])^5))/12946851448575759)-(32604099729253267080586828624523018327605115658908119306288391337756546785755705417361685293 Log[7])/9005321886467403776776574795802544392451514707345088075995687299317760000000000+((472419427590082677156931071589190414166351694900972894491259738062645204157 EulerGamma Log[7])/460869229395731659470273161291789517433317122804311296000000000)-((356256058395348532151577450142602359761109990338774291 (EulerGamma^2) Log[7])/3662050483838531277005005481249083680000000)+((79407650676157923409992522592576 (EulerGamma^3) Log[7])/26752023122557690546875)+((356256058395348532151577450142602359761109990338774291 (π^2) Log[7])/8788921161212475064812013154997800832000000)-((19851912669039480852498130648144 EulerGamma (π^2) Log[7])/5350404624511538109375)+((23261364024652890185384485192 (π^4) Log[7])/40349959460871328125)+((472349973985727965842431444032808531375449814222254980865225440097318048957 Log[2] Log[7])/460869229395731659470273161291789517433317122804311296000000000)-((356256058395348532151577450142602359761109990338774291 EulerGamma Log[2] Log[7])/1831025241919265638502502740624541840000000)+((79407650676157923409992522592576 (EulerGamma^2) Log[2] Log[7])/8917341040852563515625)-((19851912669039480852498130648144 (π^2) Log[2] Log[7])/5350404624511538109375)-((356256058395348532151577450142602359761109990338774291 ((Log[2])^2) Log[7])/3662050483838531277005005481249083680000000)+((79407650676157923409992522592576 EulerGamma ((Log[2])^2) Log[7])/8917341040852563515625)+((79407650676157923409992522592576 ((Log[2])^3) Log[7])/26752023122557690546875)+((472419427590082677156931071589190414166351694900972894491259738062645204157 ((Log[7])^2))/921738458791463318940546322583579034866634245608622592000000000)-((356256058395348532151577450142602359761109990338774291 EulerGamma ((Log[7])^2))/3662050483838531277005005481249083680000000)+((39703825338078961704996261296288 (EulerGamma^2) ((Log[7])^2))/8917341040852563515625)-((9925956334519740426249065324072 (π^2) ((Log[7])^2))/5350404624511538109375)-((356256058395348532151577450142602359761109990338774291 Log[2] ((Log[7])^2))/3662050483838531277005005481249083680000000)+((79407650676157923409992522592576 EulerGamma Log[2] ((Log[7])^2))/8917341040852563515625)+((39703825338078961704996261296288 ((Log[2])^2) ((Log[7])^2))/8917341040852563515625)-((356256058395348532151577450142602359761109990338774291 ((Log[7])^3))/10986151451515593831015016443747251040000000)+((79407650676157923409992522592576 EulerGamma ((Log[7])^3))/26752023122557690546875)+((79407650676157923409992522592576 Log[2] ((Log[7])^3))/26752023122557690546875)+((19851912669039480852498130648144 ((Log[7])^4))/26752023122557690546875)-((5610492043684513401069514836733067914275752282688137708427758866027692166463 Log[11])/22090232856654552922092258908431310265938257934619770880000000000)+((1924146537578476674387315728541624343238288345124893502659 EulerGamma Log[11])/229230134077625761291170402086683393536000000000)+((6643902092896250563683874859040853 (EulerGamma^2) Log[11])/12056350976595226425600000)-((6643902092896250563683874859040853 (π^2) Log[11])/28935242343828543421440000)+((1924146537578476674387315728541624343238288345124893502659 Log[2] Log[11])/229230134077625761291170402086683393536000000000)+((6643902092896250563683874859040853 EulerGamma Log[2] Log[11])/6028175488297613212800000)+((6643902092896250563683874859040853 ((Log[2])^2) Log[11])/12056350976595226425600000)+((1924146537578476674387315728541624343238288345124893502659 ((Log[11])^2))/458460268155251522582340804173366787072000000000)+((6643902092896250563683874859040853 EulerGamma ((Log[11])^2))/12056350976595226425600000)+((6643902092896250563683874859040853 Log[2] ((Log[11])^2))/12056350976595226425600000)+((6643902092896250563683874859040853 ((Log[11])^3))/36169052929785679276800000)-((955237874173285268366709352638518534812720164466098442056416201 Log[13])/39334562329585324510804138319914747694678016000000000)+((4755833503339450774466218725125669053 EulerGamma Log[13])/2218672330428886551983554560)+((4755833503339450774466218725125669053 Log[2] Log[13])/2218672330428886551983554560)+((4755833503339450774466218725125669053 ((Log[13])^2))/4437344660857773103967109120)+((160650424630591889668228585129610445521273894053 Log[17])/13403359386375035013941126234112000000000)+((1307417725087988177225246951349374581897351365385354340977397544212119552 Zeta[3])/4514865235751588529500939841332325745640852271311903724609375)-((5562460408361400148876146432265269701096566104480461026592 EulerGamma Zeta[3])/52806097914319290934638859108152021725689453125)+((8861194573400526341381492066433844919496681088 (EulerGamma^2) Zeta[3])/1124356882666985397999194016406640625)-((7181794482438475848285962287469056 (EulerGamma^3) Zeta[3])/67404891942718885007578125)+((1882473066970218496 (EulerGamma^4) Zeta[3])/191442234375)-((2249099514039592692106127944811480681286650272 (π^2) Zeta[3])/674614129600191238799516409843984375)+((1795448620609618962071490571867264 EulerGamma (π^2) Zeta[3])/13480978388543777001515625)-((941236533485109248 (EulerGamma^2) (π^2) Zeta[3])/38288446875)-((6394868041499514996333793408 (π^4) Zeta[3])/213770013931208109375)+((17593206233366528 EulerGamma (π^4) Zeta[3])/9116296875)+((328844976324608 (π^6) Zeta[3])/1093955625)-((10739444687956292300467440877032006020904090557405786951056672 Log[2] Zeta[3])/43987479562627969348554169637090634097499314453125)-((527482683046071033768428378847795742447703810816 EulerGamma Log[2] Zeta[3])/19114067005338751765986298278912890625)+((203262710932713743901703397466418688 (EulerGamma^2) Log[2] Zeta[3])/22468297314239628335859375)+((15059784535761747968 (EulerGamma^3) Log[2] Zeta[3])/191442234375)-((50815677733178435975425849366604672 (π^2) Log[2] Zeta[3])/13480978388543777001515625)-((3764946133940436992 EulerGamma (π^2) Log[2] Zeta[3])/38288446875)+((35186412466733056 (π^4) Log[2] Zeta[3])/9116296875)-((1764246885836145154847893895215800382878702252416 ((Log[2])^2) Zeta[3])/19114067005338751765986298278912890625)+((853386114282956569336752685776088576 EulerGamma ((Log[2])^2) Zeta[3])/22468297314239628335859375)+((15059784535761747968 (EulerGamma^2) ((Log[2])^2) Zeta[3])/63814078125)-((3764946133940436992 (π^2) ((Log[2])^2) Zeta[3])/38288446875)+((2841336098543257378012062968801111552 ((Log[2])^3) Zeta[3])/67404891942718885007578125)+((60239138143046991872 EulerGamma ((Log[2])^3) Zeta[3])/191442234375)+((30119569071523495936 ((Log[2])^4) Zeta[3])/191442234375)-((685194310512771596968491383191673037092402317528846671 Log[3] Zeta[3])/697585910157648486364686866755477292000000)+((3754197533495754146818666742671606491306 EulerGamma Log[3] Zeta[3])/53283687755001134974214546875)-((60905263428064920693865284 (EulerGamma^2) Log[3] Zeta[3])/241588944712740625)+((5075438619005410057822107 (π^2) Log[3] Zeta[3])/48317788942548125)+((7432058453405250570654722773233446889642 Log[2] Log[3] Zeta[3])/53283687755001134974214546875)-((121810526856129841387730568 EulerGamma Log[2] Log[3] Zeta[3])/241588944712740625)-((60905263428064920693865284 ((Log[2])^2) Log[3] Zeta[3])/241588944712740625)+((1877098766747877073409333371335803245653 ((Log[3])^2) Zeta[3])/53283687755001134974214546875)-((60905263428064920693865284 EulerGamma ((Log[3])^2) Zeta[3])/241588944712740625)-((60905263428064920693865284 Log[2] ((Log[3])^2) Zeta[3])/241588944712740625)-((20301754476021640231288428 ((Log[3])^3) Zeta[3])/241588944712740625)-((209915028814556043221069357903917899796975394287109375 Log[5] Zeta[3])/713577390542129793428471440660013440072704)+((105742650374066300795446374511718750 EulerGamma Log[5] Zeta[3])/1397998476854768286519021)-((43584094951293945312500 (EulerGamma^2) Log[5] Zeta[3])/10059713635257)+((54480118689117431640625 (π^2) Log[5] Zeta[3])/30179140905771)+((105742650374066300795446374511718750 Log[2] Log[5] Zeta[3])/1397998476854768286519021)-((87168189902587890625000 EulerGamma Log[2] Log[5] Zeta[3])/10059713635257)-((43584094951293945312500 ((Log[2])^2) Log[5] Zeta[3])/10059713635257)+((52871325187033150397723187255859375 ((Log[5])^2) Zeta[3])/1397998476854768286519021)-((43584094951293945312500 EulerGamma ((Log[5])^2) Zeta[3])/10059713635257)-((43584094951293945312500 Log[2] ((Log[5])^2) Zeta[3])/10059713635257)-((43584094951293945312500 ((Log[5])^3) Zeta[3])/30179140905771)+((1891995111198519300788951124659900142577468900361 Log[7] Zeta[3])/2489595431933095442923654013040000000)-((186090912197223121483075881536 EulerGamma Log[7] Zeta[3])/2689997297391421875)-((186090912197223121483075881536 Log[2] Log[7] Zeta[3])/2689997297391421875)-((93045456098611560741537940768 ((Log[7])^2) Zeta[3])/2689997297391421875)-((83332865475323553250310859121379 Log[11] Zeta[3])/12480694592748681600000)-((235873018919706679475622945224318735974016 ((Zeta[3])^2))/7032284971491918553955618203125)+((202353744919580504571373866496 EulerGamma ((Zeta[3])^2))/99759339834563784375)-((35186412466733056 (EulerGamma^2) ((Zeta[3])^2))/607753125)+((8796603116683264 (π^2) ((Zeta[3])^2))/364651875)-((1957855807066566860607842759168 Log[2] ((Zeta[3])^2))/99759339834563784375)-((140745649866932224 EulerGamma Log[2] ((Zeta[3])^2))/607753125)-((140745649866932224 ((Log[2])^2) ((Zeta[3])^2))/607753125)+((19735009427132139715524 Log[3] ((Zeta[3])^2))/48269519423125)+((281915232543945312500 Log[5] ((Zeta[3])^2))/23449215933)+((657689952649216 ((Zeta[3])^3))/17364375)-((57354232063934617724749733300603057551987863672704 Zeta[5])/204555615928594142382022678593345703125)+((772323895014706704481076985725990893383424 EulerGamma Zeta[5])/11720474952486530923259363671875)-((182734848281606538530087423488 (EulerGamma^2) Zeta[5])/99759339834563784375)+((70372824933466112 (EulerGamma^3) Zeta[5])/1823259375)+((45683712070401634632521855872 (π^2) Zeta[5])/59855603900738270625)-((17593206233366528 EulerGamma (π^2) Zeta[5])/364651875)+((164422488162304 (π^4) Zeta[5])/86821875)+((34766200203039966261141280542018310370844416 Log[2] Zeta[5])/199248074192271025695409182421875)+((3994187200685029585380831290368 EulerGamma Log[2] Zeta[5])/99759339834563784375)+((140745649866932224 (EulerGamma^2) Log[2] Zeta[5])/607753125)-((35186412466733056 (π^2) Log[2] Zeta[5])/364651875)+((8601615527409475429327872537088 ((Log[2])^2) Zeta[5])/99759339834563784375)+((281491299733864448 EulerGamma ((Log[2])^2) Zeta[5])/607753125)+((562982599467728896 ((Log[2])^3) Zeta[5])/1823259375)+((5840893489850454461923048866381594 Log[3] Zeta[5])/25204733012935516665625)-((39470018854264279431048 EulerGamma Log[3] Zeta[5])/48269519423125)-((39470018854264279431048 Log[2] Log[3] Zeta[5])/48269519423125)-((19735009427132139715524 ((Log[3])^2) Zeta[5])/48269519423125)+((70288223053539787605407714843750 Log[5] Zeta[5])/355996556367397068123)-((563830465087890625000 EulerGamma Log[5] Zeta[5])/23449215933)-((563830465087890625000 Log[2] Log[5] Zeta[5])/23449215933)-((281915232543945312500 ((Log[5])^2) Zeta[5])/23449215933)-((218050951687405733240966048 Log[7] Zeta[5])/811462231490625)+((218718756549928241477952512 Zeta[3] Zeta[5])/11073297794934375)-((1315379905298432 EulerGamma Zeta[3] Zeta[5])/5788125)-((2630759810596864 Log[2] Zeta[3] Zeta[5])/5788125)-((6146635071488 ((Zeta[5])^2))/55125)+((770223582491416762000877195299072 Zeta[7])/3580251862951566928125)-((215299564490503111784244224 EulerGamma Zeta[7])/11073297794934375)+((657689952649216 (EulerGamma^2) Zeta[7])/5788125)-((164422488162304 (π^2) Zeta[7])/3472875)+((872529778907463505805335552 Log[2] Zeta[7])/11073297794934375)+((2630759810596864 EulerGamma Log[2] Zeta[7])/5788125)+((2630759810596864 ((Log[2])^2) Zeta[7])/5788125)-((12807893904562442376 Log[3] Zeta[7])/9644259625)-((3647027587890625000 Log[5] Zeta[7])/54660177)-((12293270142976 Zeta[3] Zeta[7])/55125)-((19302372132442557647872 Zeta[9])/245827456875)+((12293270142976 EulerGamma Zeta[9])/55125)+((24586540285952 Log[2] Zeta[9])/55125)+((114890375168 Zeta[11])/525))+((2147483648 Zeta[13])/5));

Δψ

Spin-precession invariant, accurate to order (y^24.5)

Δψ=(y^2)-3 (y^3)-((15 (y^4))/2)-((26536 π (y^(13/2)))/1575)-((113411 π (y^(15/2)))/22050)+((1179591206 π (y^(17/2)))/3274425)+(y^5) (-(6277/30)-16 EulerGamma+((20471 (π^2))/1024)-((496 Log[2])/15)-8 Log[y])+(y^6) (-(87055/28)-((52 EulerGamma)/5)+((653629 (π^2))/2048)+((3772 Log[2])/105)-((729 Log[3])/14)-((26 Log[y])/5))+(y^7) (-(149628163/18900)+((7628 EulerGamma)/21)+((297761947 (π^2))/393216)-((1407987 (π^4))/524288)+((4556 Log[2])/21)+((12879 Log[3])/35)+((3814 Log[y])/21))+(y^(23/2)) (((14296113483697229886509 π)/556049907733320000)-((14432596462076 EulerGamma π)/2269176525)+((4251077176 (π^3))/1964655)-((3517727033852 π Log[2])/2269176525)-((38986085538 π Log[3])/5187875)-((7216298231038 π Log[y])/2269176525))+(y^(19/2)) (-((660044682996077 π)/524431908000)+((46528736 EulerGamma π)/165375)-((434848 (π^3))/4725)+((6228256 π Log[2])/11025)+((23264368 π Log[y])/165375))+(y^(21/2)) (-((178279193702345741 π)/26512946460000)+((46324078 EulerGamma π)/128625)-((11255086 (π^3))/33075)-((2889622 π Log[2])/7875)+(369603/343) π Log[3]+((23162039 π Log[y])/128625))+(y^9) ((3985926908910281/1146048750)-((4454779894 EulerGamma)/606375)+((3376 (EulerGamma^2))/15)-((22832200546571 (π^2))/8808038400)-((758053590944149 (π^4))/21474836480)-((138895624334 Log[2])/9029475)-((3077728 EulerGamma Log[2])/11025)-((1064368 ((Log[2])^2))/1225)-((71602663581 Log[3])/7847840)+(56862/49) EulerGamma Log[3]+(56862/49) Log[2] Log[3]+((28431 ((Log[3])^2))/49)+((11576171875 Log[5])/2594592)+(-(2227389947/606375)+((3376 EulerGamma)/15)-((1538864 Log[2])/11025)+((28431 Log[3])/49)) Log[y]+((844 ((Log[y])^2))/15)-1152 Zeta[3])+(y^8) ((403109158099/9922500)-((74909462 EulerGamma)/70875)+((3424 (EulerGamma^2))/25)+((164673979457 (π^2))/353894400)-((160934764317 (π^4))/335544320)+((340681718 Log[2])/1819125)+((869696 EulerGamma Log[2])/1575)+((58208 ((Log[2])^2))/105)-((199989 Log[3])/352)-((9765625 Log[5])/28512)+(-(37454731/70875)+((3424 EulerGamma)/25)+((434848 Log[2])/1575)) Log[y]+((856 ((Log[y])^2))/25)-((1344 Zeta[3])/5))+(y^10) ((552424223705497767347/20649506377500)+((11467229058074 EulerGamma)/496621125)-((35570296 (EulerGamma^2))/11025)-((152033994681460553 (π^2))/13317754060800)-((755954175166870909 (π^4))/2748779069440)+((21138410295 (π^6))/134217728)-((1306135539288758 Log[2])/147496474125)-((478423984 EulerGamma Log[2])/654885)+((30719079112 ((Log[2])^2))/3274425)+((214411899501351 Log[3])/3453049600)-((109664928 EulerGamma Log[3])/13475)-((109664928 Log[2] Log[3])/13475)-((54832464 ((Log[3])^2))/13475)-((437134765625 Log[5])/20756736)-((678223072849 Log[7])/370656000)+((5724079403437/496621125)-((35570296 EulerGamma)/11025)-((239211992 Log[2])/654885)-((54832464 Log[3])/13475)) Log[y]-((8892574 ((Log[y])^2))/11025)+((680336 Zeta[3])/105))+(y^(29/2)) (-((5309850881930378361213063000400507073797099 π)/9009966035282625018582291963648000000)-((31697702965724519600778001907 EulerGamma π)/115321796848755734737500)+((2017887846520122448 (EulerGamma^2) π)/39313483295625)-((960372800793516616313 (π^3))/8031832000592400)-((871515123500656 EulerGamma (π^3))/34037647875)+((125822671264 (π^5))/147349125)+((65792943231500199837619674637 π Log[2])/115321796848755734737500)-((529898658421540832 EulerGamma π Log[2])/7862696659125)+((795346539665488 (π^3) Log[2])/6807529575)-((486929066270811952 π ((Log[2])^2))/1572539331825)-((24616880040022202752230447 π Log[3])/15623878046877100000)+((333123624736992 EulerGamma π Log[3])/1997331875)-((467833026456 (π^3) Log[3])/5187875)+((333123624736992 π Log[2] Log[3])/1997331875)+((166561812368496 π ((Log[3])^2))/1997331875)+((13713804796935830078125 π Log[5])/20286112824353376)+((42358546129606626367 π Log[7])/509152772700000)+(-((31799589853782602615359096307 π)/230643593697511469475000)+((2017887846520122448 EulerGamma π)/39313483295625)-((435757561750328 (π^3))/34037647875)-((264949329210770416 π Log[2])/7862696659125)+((166561812368496 π Log[3])/1997331875)) Log[y]+((504471961630030612 π ((Log[y])^2))/39313483295625)-((871515123500656 π Zeta[3])/11345882625))+(y^(25/2)) (((2084022912123714512565994459849 π)/50082608917173919086000000)+((190712970681326946869 EulerGamma π)/12655197479925000)-((5723400896 (EulerGamma^2) π)/2480625)+((177395403334811 (π^3))/93648555000)+((106979456 EulerGamma (π^3))/70875)+((999808 (π^5))/10125)-((2538986352360389949581 π Log[2])/88586382359475000)-((53470676864 EulerGamma π Log[2])/5788125)+((499725952 (π^3) Log[2])/165375)-((160490433344 π ((Log[2])^2))/17364375)+((33855365577141 π Log[3])/3149146000)+((29176220703125 π Log[5])/2623688496)+(((190712970681326946869 π)/25310394959850000)-((5723400896 EulerGamma π)/2480625)+((53489728 (π^3))/70875)-((26735338432 π Log[2])/5788125)) Log[y]-((1430850224 π ((Log[y])^2))/2480625)+((106979456 π Zeta[3])/23625))+(y^(27/2)) (-((1187374613661695186615691845565290057 π)/2281975776845387078391936000000)+((245883449484395004266099 EulerGamma π)/1612272158942445000)-((751070271916 (EulerGamma^2) π)/121550625)-((13163514596884821173 (π^3))/178962388605000)+((388697496 EulerGamma (π^3))/42875)+((562644568 (π^5))/496125)+((3081012717124731361878079 π Log[2])/8061360794712225000)-((214793576 EulerGamma π Log[2])/324135)+((48046504 (π^3) Log[2])/9261)+((1381319157332 π ((Log[2])^2))/121550625)+((21333547868032053711 π Log[3])/98294294098000)-((57658068 EulerGamma π Log[3])/2401)+(4435236/343) (π^3) Log[3]-((57658068 π Log[2] Log[3])/2401)-((28829034 π ((Log[3])^2))/2401)-((1688840218427734375 π Log[5])/11699027003664)+(((245883449484395004266099 π)/3224544317884890000)-((751070271916 EulerGamma π)/121550625)+((194348748 (π^3))/42875)-((107396788 π Log[2])/324135)-((28829034 π Log[3])/2401)) Log[y]-((187767567979 π ((Log[y])^2))/121550625)+((1166092488 π Zeta[3])/42875))+(y^11) ((895515122403034654417281293/57979787254276387500)+((10978785947716000429 EulerGamma)/170358427614375)+((4239200554828 (EulerGamma^2))/756392175)-((24913024 (EulerGamma^3))/33075)+((4777175128704881185520851 (π^2))/3248679654575308800)+((6228256 EulerGamma (π^2))/6615)-((130304003970548330013011 (π^4))/221661544159641600)+((15222492411703235 (π^6))/541165879296)+((1567851231140667795523 Log[2])/2988032738315625)-((100103864571848 EulerGamma Log[2])/2341213875)-((106979456 (EulerGamma^2) Log[2])/23625)+((26744864 (π^2) Log[2])/14175)-((5715206419501492 ((Log[2])^2))/49165491375)-((499725952 EulerGamma ((Log[2])^2))/55125)-((2999821184 ((Log[2])^3))/496125)-((540319210797865833 Log[3])/4197181788800)+((26505921681 EulerGamma Log[3])/2202200)+((26505921681 Log[2] Log[3])/2202200)+((26505921681 ((Log[3])^2))/4404400)-((3879267191919921875 Log[5])/52452780412032)+((37744140625 EulerGamma Log[5])/3057912)+((37744140625 Log[2] Log[5])/3057912)+((37744140625 ((Log[5])^2))/6115824)+((73344980878099 Log[7])/2181168000)+((1059800138707/756392175)-((6228256 EulerGamma)/11025)-((26744864 Log[2])/23625)) ((Log[y])^2)-((3114128 ((Log[y])^3))/33075)+((785903336 Zeta[3])/99225)+(465664/105) EulerGamma Zeta[3]+(1999616/225) Log[2] Zeta[3]+Log[y] ((10974424771969072429/340716855228750)+((4239200554828 EulerGamma)/756392175)-((12456512 (EulerGamma^2))/11025)+((3114128 (π^2))/6615)-((50051932285924 Log[2])/2341213875)-((106979456 EulerGamma Log[2])/23625)-((249862976 ((Log[2])^2))/55125)+((26505921681 Log[3])/4404400)+((37744140625 Log[5])/6115824)+((232832 Zeta[3])/105))+4352 Zeta[5])+(y^12) (-(184094931804678325226775991271424917/19548175171715555427562500)-((2952288875906151726533207 EulerGamma)/5710130562921159375)+((122783649257283464 (EulerGamma^2))/1491353238375)-((2760061088 (EulerGamma^3))/1157625)+((545527990615828112141035072669 (π^2))/2196107446492908748800)+((690015272 EulerGamma (π^2))/231525)+((193680816717860631571035475549 (π^4))/5958262307011166208000)+((34219753111034060833 (π^6))/8658654068736)-((704874292405040363661641471 Log[2])/325477442086506084375)+((9593270828254026224 EulerGamma Log[2])/22370298575625)-((57283488 (EulerGamma^2) Log[2])/42875)+((4773624 (π^2) Log[2])/8575)+((13665524948787068536 ((Log[2])^2))/22370298575625)+((31787744 EulerGamma ((Log[2])^2))/3087)+((4317168928 ((Log[2])^3))/385875)-((1466250817532019618099843 Log[3])/1625551718075084800)+((11183492917042569 EulerGamma Log[3])/49098049000)-(4435236/343) (EulerGamma^2) Log[3]+(1848015/343) (π^2) Log[3]+((12891986487745929 Log[2] Log[3])/49098049000)-(8870472/343) EulerGamma Log[2] Log[3]-(4435236/343) ((Log[2])^2) Log[3]+((11183492917042569 ((Log[3])^2))/98196098000)-(4435236/343) EulerGamma ((Log[3])^2)-(4435236/343) Log[2] ((Log[3])^2)-((1478412 ((Log[3])^3))/343)+((13311167755409892578125 Log[5])/9484011224303616)-((34733720703125 EulerGamma Log[5])/216432216)-((34733720703125 Log[2] Log[5])/216432216)-((34733720703125 ((Log[5])^2))/432864432)-((111673164306606071071 Log[7])/448238748672000)+((30579194748876386/1491353238375)-((690015272 EulerGamma)/385875)-((14320872 Log[2])/42875)-((1108809 Log[3])/343)) ((Log[y])^2)-((345007636 ((Log[y])^3))/1157625)-((3072077997656 Zeta[3])/12733875)+((36974656 EulerGamma Zeta[3])/1225)+((204124736 Log[2] Zeta[3])/11025)+(2047032/49) Log[3] Zeta[3]+Log[y] (-(2950513264271989525498007/11420261125842318750)+((122783649257283464 EulerGamma)/1491353238375)-((1380030544 (EulerGamma^2))/385875)+((345007636 (π^2))/231525)+((4793133887163678712 Log[2])/22370298575625)-((57283488 EulerGamma Log[2])/42875)+((15893872 ((Log[2])^2))/3087)+((11183492917042569 Log[3])/98196098000)-(4435236/343) EulerGamma Log[3]-(4435236/343) Log[2] Log[3]-((2217618 ((Log[3])^2))/343)-((34733720703125 Log[5])/432864432)+((18487328 Zeta[3])/1225))+((1949504 Zeta[5])/35))+(y^13) (-(55918518949617438556735975663717584848969/394794945767967357415052250000)-((31820709089016321579091597087 EulerGamma)/32222266766564102353125)-((230884798395817567208 (EulerGamma^2))/2214659558986875)+((195609221811488 (EulerGamma^3))/11345882625)+((268326297213415329697937454609374713 (π^2))/73789210202161733959680000)-((48902305452872 EulerGamma (π^2))/2269176525)+((19750691096766759888050303278403159 (π^4))/37751549977222749093888000)+((3037644237389156207824805 (π^6))/53198770598313984)-((5990948040507941 (π^8))/549755813888)-((205476770552879570318960688943 Log[2])/46952445859850549143125)+((2333171461995431294768 EulerGamma Log[2])/3227075357380875)-((73182403279456 (EulerGamma^2) Log[2])/1620840375)+((18295600819864 (π^2) Log[2])/972504225)+((242362228261971549865288 ((Log[2])^2))/112947637508330625)-((4035505222260896 EulerGamma ((Log[2])^2))/11345882625)-((61457225667104 ((Log[2])^3))/138929175)+((140900559986627080777346193027 Log[3])/15198908564002042880000)-((308594519722437276357 EulerGamma Log[3])/183626703260000)+((467833026456 (EulerGamma^2) Log[3])/5187875)-((38986085538 (π^2) Log[3])/1037575)-((409010222195260682949 Log[2] Log[3])/183626703260000)+((935666052912 EulerGamma Log[2] Log[3])/5187875)+((467833026456 ((Log[2])^2) Log[3])/5187875)-((308594519722437276357 ((Log[3])^2))/367253406520000)+((467833026456 EulerGamma ((Log[3])^2))/5187875)+((467833026456 Log[2] ((Log[3])^2))/5187875)+((155944342152 ((Log[3])^3))/5187875)-((933945255836406040673828125 Log[5])/148007479166482231296)+((299718641201171875 EulerGamma Log[5])/397369548576)+((299718641201171875 Log[2] Log[5])/397369548576)+((299718641201171875 ((Log[5])^2))/794739097152)-((2447069882207180299994701 Log[7])/19614031164389376000)+((14180966230199741 EulerGamma Log[7])/153590580000)+((14180966230199741 Log[2] Log[7])/153590580000)+((14180966230199741 ((Log[7])^2))/307181160000)+(-(58168822370617659002/2214659558986875)+((48902305452872 EulerGamma)/3781960875)-((18295600819864 Log[2])/1620840375)+((116958256614 Log[3])/5187875)) ((Log[y])^2)+((24451152726436 ((Log[y])^3))/11345882625)+Log[y] (-(31837810312556420711589661087/64444533533128204706250)-((231202291990193925608 EulerGamma)/2214659558986875)+((97804610905744 (EulerGamma^2))/3781960875)-((24451152726436 (π^2))/2269176525)+((1164811253436376604824 Log[2])/3227075357380875)-((73182403279456 EulerGamma Log[2])/1620840375)-((2017752611130448 ((Log[2])^2))/11345882625)-((308594519722437276357 Log[3])/367253406520000)+((467833026456 EulerGamma Log[3])/5187875)+((467833026456 Log[2] Log[3])/5187875)+((233916513228 ((Log[3])^2))/5187875)+((299718641201171875 Log[5])/794739097152)+((14180966230199741 Log[7])/307181160000)-((39667293088 Zeta[3])/1091475))-((62650400736283736 Zeta[3])/147496474125)-((79334586176 EulerGamma Zeta[3])/1091475)+((189559817152 Log[2] Zeta[3])/467775)-((3947937408 Log[3] Zeta[3])/13475)+((1209920 Zeta[5])/21))+(y^(35/2)) (-((36056585768988654718151649136838237646935029862866663753356670513 π)/312107190669400789142959866907351186470071551795200000000)+((28328482245514637169280723906124538326477144221585267 EulerGamma π)/753772193030145778698497567005562996160000000)-((30337666529417170801607338989222277 (EulerGamma^2) π)/37846883898808900804826437500)-((18050580883137590348896 (EulerGamma^3) π)/81732731771604375)-((45641106844691396908989260752206553916328703 (π^3))/1351494905292393752787343794547200000)+((1826573123278862992279926210017 EulerGamma (π^3))/259474042909700403159375)-((413580818773749184 (EulerGamma^2) (π^3))/23588089977375)+((3016355045576933704152967 (π^5))/2258952750166612500)-((10374366443825728 EulerGamma (π^5))/102112943625)-((21680936786176 (π^7))/618866325)+((102898515154795630118759911715853643478236103269322611 π Log[2])/753772193030145778698497567005562996160000000)-((441429095642526756167661116628377989 EulerGamma π Log[2])/18923441949404450402413218750)+((56237669578301822317472 (EulerGamma^2) π Log[2])/27244243923868125)+((4102996341551229850587683418593 (π^3) Log[2])/259474042909700403159375)-((102153674080936090496 EulerGamma (π^3) Log[2])/23588089977375)-((76769505298573888 (π^5) Log[2])/102112943625)-((1016871839763061848892975406557721 π ((Log[2])^2))/17810298305321835672859500)+((1442656741860662267380256 EulerGamma π ((Log[2])^2))/136221219619340625)-((1028462253055667037376 (π^3) ((Log[2])^2))/117940449886875)+((5021351197863245666353696 π ((Log[2])^3))/408663658858021875)-((3330997742105648624708940952075102199987635641 π Log[3])/10506336030056446511201132838976000000)+((54710846605475192951416811448 EulerGamma π Log[3])/1186926485373694690625)-((1424773850121126864 (EulerGamma^2) π Log[3])/768972771875)-((28478321878871966132862729 (π^3) Log[3])/781193902343855000)+((3997483496843904 EulerGamma (π^3) Log[3])/1997331875)+((5613996317472 (π^5) Log[3])/25939375)+((30732863311311180289529981688 π Log[2] Log[3])/456510186682190265625)-((2849547700242253728 EulerGamma π Log[2] Log[3])/768972771875)+((3997483496843904 (π^3) Log[2] Log[3])/1997331875)-((1424773850121126864 π ((Log[2])^2) Log[3])/768972771875)+((27355423302737596475708405724 π ((Log[3])^2))/1186926485373694690625)-((1424773850121126864 EulerGamma π ((Log[3])^2))/768972771875)+((1998741748421952 (π^3) ((Log[3])^2))/1997331875)-((1424773850121126864 π Log[2] ((Log[3])^2))/768972771875)-((474924616707042288 π ((Log[3])^3))/768972771875)+((34692094101964479774037130154162002529296875 π Log[5])/165743902817045728841832763994901504)-((523345816876095968212890625 EulerGamma π Log[5])/21575548870751337462)+((342845119923395751953125 (π^3) Log[5])/15214584618265032)-((523345816876095968212890625 π Log[2] Log[5])/21575548870751337462)-((523345816876095968212890625 π ((Log[5])^2))/43151097741502674924)+((346870195214200056200757250507261518393589 π Log[7])/50938013952595303180023611520000000)-((885674841023944950707603 EulerGamma π Log[7])/210980180187562500)+((2075568760350724691983 (π^3) Log[7])/381864579525000)-((885674841023944950707603 π Log[2] Log[7])/210980180187562500)-((885674841023944950707603 π ((Log[7])^2))/421960360375125000)+(-((29240838172801115536474086733887877 π)/151387535595235603219305750000)-((4512645220784397587224 EulerGamma π)/27244243923868125)-((103395204693437296 (π^3))/23588089977375)+((14059417394575455579368 π Log[2])/27244243923868125)-((356193462530281716 π Log[3])/768972771875)) ((Log[y])^2)-((2256322610392198793612 π ((Log[y])^3))/81732731771604375)+((475680495872476649041568790721 π Zeta[3])/23588549355427309378125)-((827161637547498368 EulerGamma π Zeta[3])/7862696659125)+((10374366443825728 (π^3) Zeta[3])/6807529575)-((102153674080936090496 π Log[2] Zeta[3])/7862696659125)+((11992450490531712 π Log[3] Zeta[3])/1997331875)+Log[y] (((28233251237375995131780392634138164686374212134801267 π)/1507544386060291557396995134011125992320000000)-((30063459440263156985324025925388677 EulerGamma π)/37846883898808900804826437500)-((9025290441568795174448 (EulerGamma^2) π)/27244243923868125)+((1825343260291516210694470952417 (π^3))/518948085819400806318750)-((413580818773749184 EulerGamma (π^3))/23588089977375)-((5187183221912864 (π^5))/102112943625)-((440605937766279677509777354906419589 π Log[2])/37846883898808900804826437500)+((56237669578301822317472 EulerGamma π Log[2])/27244243923868125)-((51076837040468045248 (π^3) Log[2])/23588089977375)+((721328370930331133690128 π ((Log[2])^2))/136221219619340625)+((27355423302737596475708405724 π Log[3])/1186926485373694690625)-((1424773850121126864 EulerGamma π Log[3])/768972771875)+((1998741748421952 (π^3) Log[3])/1997331875)-((1424773850121126864 π Log[2] Log[3])/768972771875)-((712386925060563432 π ((Log[3])^2))/768972771875)-((523345816876095968212890625 π Log[5])/43151097741502674924)-((885674841023944950707603 π Log[7])/421960360375125000)-((413580818773749184 π Zeta[3])/7862696659125))-((10374366443825728 π Zeta[5])/2269176525))+(y^(33/2)) (((3414445378130469846475870747862731075409633544401065441 π)/789861891969164879618001389910677830521600000000)+((336995176079969926717761181641373383516325021 EulerGamma π)/47035722448682544254615890112160000000)-((40927638049467422242909665737 (EulerGamma^2) 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Zeta[3])/22589527501666125)-((650488760291456 EulerGamma Zeta[3])/3781960875)-((16627614075249536 Log[2] Zeta[3])/2269176525)+((16841988952416 Log[3] Zeta[3])/5187875)-((2915194120576 Zeta[5])/1091475))+((3312920070543319136 Zeta[5])/49165491375)-((5830388241152 EulerGamma Zeta[5])/1091475)-((24699729569024 Log[2] Zeta[5])/654885)+((142125746688 Log[3] Zeta[5])/13475)-((1958691584 Zeta[7])/105))+(y^15) ((178540148394893454213385929700105204431435882059438183933/6387987609740269795047242089727919825000000)+((1444626847565977343847871701769271761693931 EulerGamma)/150923774598172226263415942045156250)+((743974276294437883505577844651591 (EulerGamma^2))/225502163588004442967953125)-((80654004101045801163952 (EulerGamma^3))/143952871334146875)+((322091264 (EulerGamma^4))/19845)+((213143707415820227999579156880534675885675742282873 (π^2))/2115773874804536334636495335011123200000)+((20163501025261450290988 EulerGamma (π^2))/28790574266829375)-((161045632 (EulerGamma^2) (π^2))/3969)-((3355147905662233730482198313851402974886711975903 (π^4))/28975748079172955050009433840025600000)+((838336 EulerGamma (π^4))/135)-((366576877431067297518135190630627 (π^6))/32685324655604111769600)-((73497544666194742468811117 (π^8))/101330991615836160)-((5914802257134088557178479343028167512162443 Log[2])/288127206051056068321066798449843750)+((21582307719896314698020411808946354 EulerGamma Log[2])/430504130486190300211546875)-((542228830585444590986576 (EulerGamma^2) Log[2])/91606372667184375)+((12300964281344 (EulerGamma^3) Log[2])/364651875)+((135498760158289169941844 (π^2) Log[2])/54963823600310625)-((3075241070336 EulerGamma (π^2) Log[2])/72930375)+((8988539072 (π^4) Log[2])/1929375)+((19992914226655562220138901906319201 ((Log[2])^2))/249239233439373331701421875)-((18334489087109727004498544 EulerGamma ((Log[2])^2))/1007670099339028125)-((580251275776 (EulerGamma^2) ((Log[2])^2))/13505625)+((145062818944 (π^2) ((Log[2])^2))/8103375)-((1558801235217981659275472 ((Log[2])^3))/86371722800488125)-((7990785350656 EulerGamma ((Log[2])^3))/52093125)-((2448624107264 ((Log[2])^4))/24310125)-((32121328106137480468329118774308357987909 Log[3])/888278500142161147403448064000000)+((37695796473493246706069582373039 EulerGamma Log[3])/1493120051543155235200000)-((6657887258847138663 (EulerGamma^2) Log[3])/2233961229500)+((230632272 (EulerGamma^3) Log[3])/2401)+((2219295752949046221 (π^2) Log[3])/1787168983600)-((288290340 EulerGamma (π^2) Log[3])/2401)+((13305708 (π^4) Log[3])/1715)+((518915434980801888780465029425029 Log[2] Log[3])/16424320566974707587200000)-((91708992333763253613 EulerGamma Log[2] Log[3])/12286786762250)+((691896816 (EulerGamma^2) Log[2] Log[3])/2401)-((288290340 (π^2) Log[2] Log[3])/2401)-((128653457306652710253 ((Log[2])^2) Log[3])/24573573524500)+((691896816 EulerGamma ((Log[2])^2) Log[3])/2401)+((230632272 ((Log[2])^3) Log[3])/2401)+((9851518877221197342156061983861 ((Log[3])^2))/746560025771577617600000)-((6657887258847138663 EulerGamma ((Log[3])^2))/2233961229500)+((345948408 (EulerGamma^2) ((Log[3])^2))/2401)-((144145170 (π^2) ((Log[3])^2))/2401)-((91708992333763253613 Log[2] ((Log[3])^2))/24573573524500)+((691896816 EulerGamma Log[2] ((Log[3])^2))/2401)+((345948408 ((Log[2])^2) ((Log[3])^2))/2401)-((2219295752949046221 ((Log[3])^3))/2233961229500)+((230632272 EulerGamma ((Log[3])^3))/2401)+((230632272 Log[2] ((Log[3])^3))/2401)+((57658068 ((Log[3])^4))/2401)+((335449641407501498004901489998569392578125 Log[5])/1507190932124314669775120331866112)-((18043699048009895547239775390625 EulerGamma Log[5])/351869280783415694627328)+((8444201092138671875 (EulerGamma^2) Log[5])/2924756750916)-((42221005460693359375 (π^2) Log[5])/35097081010992)-((18043699048009895547239775390625 Log[2] Log[5])/351869280783415694627328)+((8444201092138671875 EulerGamma Log[2] Log[5])/1462378375458)+((8444201092138671875 ((Log[2])^2) Log[5])/2924756750916)-((18043699048009895547239775390625 ((Log[5])^2))/703738561566831389254656)+((8444201092138671875 EulerGamma ((Log[5])^2))/2924756750916)+((8444201092138671875 Log[2] ((Log[5])^2))/2924756750916)+((8444201092138671875 ((Log[5])^3))/8774270252748)-((10864198815859511930364238491875158331 Log[7])/80979798301878200744448000000)+((2124911309544887559242617 EulerGamma Log[7])/169393905510635520)+((2124911309544887559242617 Log[2] Log[7])/169393905510635520)+((2124911309544887559242617 ((Log[7])^2))/338787811021271040)+((379462616391725675509796447 Log[11])/333832860781056000000)+(-(10005212135393611353494/143952871334146875)+((161045632 EulerGamma)/19845)+((1537620535168 Log[2])/364651875)+((28829034 Log[3])/2401)) ((Log[y])^3)+((20130704 ((Log[y])^4))/19845)+((Log[y])^2) ((739639686866061705837566915035591/902008654352017771871812500)-((20163501025261450290988 EulerGamma)/47984290444715625)+((161045632 (EulerGamma^2))/6615)-((40261408 (π^2))/3969)-((135411088926181203234644 Log[2])/91606372667184375)+((3075241070336 EulerGamma Log[2])/121550625)-((145062818944 ((Log[2])^2))/13505625)-((6657887258847138663 Log[3])/8935844918000)+((172974204 EulerGamma Log[3])/2401)+((172974204 Log[2] Log[3])/2401)+((86487102 ((Log[3])^2))/2401)+((8444201092138671875 Log[5])/11699027003664)-((838336 Zeta[3])/9))+((10732014117675454744748966 Zeta[3])/2447198812680496875)+((331375078473130816 EulerGamma Zeta[3])/81942485625)-(3353344/9) (EulerGamma^2) Zeta[3]+(4191680/27) (π^2) Zeta[3]+((113264669601249621568 Log[2] Zeta[3])/4474059715125)-((71908312576 EulerGamma Log[2] Zeta[3])/128625)-((36038158592 ((Log[2])^2) Zeta[3])/385875)+((150907437076235841 Log[3] Zeta[3])/12274512250)-(319336992/343) EulerGamma Log[3] Zeta[3]-(319336992/343) Log[2] Log[3] Zeta[3]-(159668496/343) ((Log[3])^2) Zeta[3]-((868343017578125 Log[5] Zeta[3])/54108054)+((1976320 ((Zeta[3])^2))/3)+Log[y] ((1443095427096991114707380066473385508493931/301847549196344452526831884090312500)+((744221366722721348748916146091591 EulerGamma)/225502163588004442967953125)-((40327002050522900581976 (EulerGamma^2))/47984290444715625)+((644182528 (EulerGamma^3))/19845)+((10051135161735879628694 (π^2))/28790574266829375)-((161045632 EulerGamma (π^2))/3969)+((419168 (π^4))/135)+((10787494981703251910991270305345177 Log[2])/430504130486190300211546875)-((542228830585444590986576 EulerGamma Log[2])/91606372667184375)+((6150482140672 (EulerGamma^2) Log[2])/121550625)-((1537620535168 (π^2) Log[2])/72930375)-((9165637237632884112617272 ((Log[2])^2))/1007670099339028125)-((580251275776 EulerGamma ((Log[2])^2))/13505625)-((3995392675328 ((Log[2])^3))/52093125)+((37695796473493246706069582373039 Log[3])/2986240103086310470400000)-((6657887258847138663 EulerGamma Log[3])/2233961229500)+((345948408 (EulerGamma^2) Log[3])/2401)-((144145170 (π^2) Log[3])/2401)-((91708992333763253613 Log[2] Log[3])/24573573524500)+((691896816 EulerGamma Log[2] Log[3])/2401)+((345948408 ((Log[2])^2) Log[3])/2401)-((6657887258847138663 ((Log[3])^2))/4467922459000)+((345948408 EulerGamma ((Log[3])^2))/2401)+((345948408 Log[2] ((Log[3])^2))/2401)+((115316136 ((Log[3])^3))/2401)-((18043699048009895547239775390625 Log[5])/703738561566831389254656)+((8444201092138671875 EulerGamma Log[5])/2924756750916)+((8444201092138671875 Log[2] Log[5])/2924756750916)+((8444201092138671875 ((Log[5])^2))/5849513501832)+((2124911309544887559242617 Log[7])/338787811021271040)+((165174494992853408 Zeta[3])/81942485625)-(3353344/9) EulerGamma Zeta[3]-((35954156288 Log[2] Zeta[3])/128625)-(159668496/343) Log[3] Zeta[3]-((1976320 Zeta[5])/3))+((550606278944 Zeta[5])/606375)-(3952640/3) EulerGamma Zeta[5]-((12467597312 Log[2] Zeta[5])/11025)-(73693152/49) Log[3] Zeta[5]-2240000 Zeta[7])+(y^14) (-(25105689326437633143222302545119678455060078765034473/44918728131563797834340291702753325000000)+((28465651655704059830901242446584177479 EulerGamma)/4194696298784653172534930156250)-((149954059365283950864513030853 (EulerGamma^2))/144152246060944668421875)-((14862394284976579472 (EulerGamma^3))/33219893384803125)+((53470676864 (EulerGamma^4))/17364375)+((1382576599003842137026984607581609563901342613 (π^2))/79248535357017878238402183168000000)+((3715598571244144868 EulerGamma (π^2))/6643978676960625)-((26735338432 (EulerGamma^2) (π^2))/3472875)+((178409537584128378780724226998135283471761 (π^4))/87066550718668735126230269952000)+((499725952 EulerGamma (π^4))/826875)+((1618696988208768975806817129793 (π^6))/7149914768413399449600)-((2547114068232098727607 (π^8))/791648371998720)+((86184302376552379542620466756226641423347 Log[2])/1833082282568893436397764478281250)-((41360868951644100025764392413246 EulerGamma Log[2])/2738892675157948700015625)+((10411999054067186375792 (EulerGamma^2) Log[2])/11073297794934375)+((1283923466752 (EulerGamma^3) Log[2])/52093125)-((2602999763516796593948 (π^2) Log[2])/6643978676960625)-((320980866688 EulerGamma (π^2) Log[2])/10418625)+((2999821184 (π^4) Log[2])/2480625)-((2277262395801345716119706739413 ((Log[2])^2))/78254076433084248571875)+((1267756872949042315472 EulerGamma ((Log[2])^2))/316379936998125)+((4076943104 (EulerGamma^2) ((Log[2])^2))/55125)-((1019235776 (π^2) ((Log[2])^2))/33075)+((151607779358849976638576 ((Log[2])^3))/33219893384803125)+((5137575533056 EulerGamma ((Log[2])^3))/52093125)+((856314857344 ((Log[2])^4))/17364375)-((3837129087597300548202099012782283 Log[3])/100288912523241479797760000)+((75421247572218176728578441 EulerGamma Log[3])/16963067593752280000)-((101566096731423 (EulerGamma^2) Log[3])/787286500)+((33855365577141 (π^2) Log[3])/629829200)+((131731477811538857834428809 Log[2] Log[3])/16963067593752280000)-((101566096731423 EulerGamma Log[2] Log[3])/393643250)-((101566096731423 ((Log[2])^2) Log[3])/787286500)+((75421247572218176728578441 ((Log[3])^2))/33926135187504560000)-((101566096731423 EulerGamma ((Log[3])^2))/787286500)-((101566096731423 Log[2] ((Log[3])^2))/787286500)-((33855365577141 ((Log[3])^3))/787286500)-((14522555334465885013333427526900390625 Log[5])/1743425022700190479786142662656)+((69917822132336320439453125 EulerGamma Log[5])/25438785481739133504)-((145881103515625 (EulerGamma^2) Log[5])/655922124)+((729405517578125 (π^2) Log[5])/7871065488)+((69917822132336320439453125 Log[2] Log[5])/25438785481739133504)-((145881103515625 EulerGamma Log[2] Log[5])/327961062)-((145881103515625 ((Log[2])^2) Log[5])/655922124)+((69917822132336320439453125 ((Log[5])^2))/50877570963478267008)-((145881103515625 EulerGamma ((Log[5])^2))/655922124)-((145881103515625 Log[2] ((Log[5])^2))/655922124)-((145881103515625 ((Log[5])^3))/1967766372)+((2248625818037574093829749927087227 Log[7])/131141373768223806873600000)-((4542009473315817564229 EulerGamma Log[7])/2678926896360000)-((4542009473315817564229 Log[2] Log[7])/2678926896360000)-((4542009473315817564229 ((Log[7])^2))/5357853792720000)-((81402749386839761113321 Log[11])/2054356066344960000)+(-(1857799285622072434/33219893384803125)+((26735338432 EulerGamma)/17364375)+((160490433344 Log[2])/52093125)) ((Log[y])^3)+((3341917304 ((Log[y])^4))/17364375)+((Log[y])^2) (-(150067369071353402594431110853/576608984243778673687500)-((3715598571244144868 EulerGamma)/11073297794934375)+((26735338432 (EulerGamma^2))/5788125)-((6683834608 (π^2))/3472875)+((2602999763516796593948 Log[2])/11073297794934375)+((320980866688 EulerGamma Log[2])/17364375)+((1019235776 ((Log[2])^2))/55125)-((101566096731423 Log[3])/3149146000)-((145881103515625 Log[5])/2623688496)-((499725952 Zeta[3])/55125))+((5294485011363817767374 Zeta[3])/1328795735392125)-((113555673327320608 EulerGamma Zeta[3])/245827456875)-((1998903808 (EulerGamma^2) Zeta[3])/55125)+((499725952 (π^2) Zeta[3])/33075)-((142268027251758368 Log[2] Zeta[3])/27314161875)-((23998569472 EulerGamma Log[2] Zeta[3])/165375)-(76204544/525) ((Log[2])^2) Zeta[3]+((238553295129 Log[3] Zeta[3])/550550)+((943603515625 Log[5] Zeta[3])/764478)+((18681344 ((Zeta[3])^2))/525)+Log[y] ((28462003489715167876845043737346977479/8389392597569306345069860312500)-((149770950317944669377889830853 EulerGamma)/144152246060944668421875)-((7431197142488289736 (EulerGamma^2))/11073297794934375)+((106941353728 (EulerGamma^3))/17364375)+((1857799285622072434 (π^2))/6643978676960625)-((26735338432 EulerGamma (π^2))/3472875)+((249862976 (π^4))/826875)-((20678006470941745421284906926623 Log[2])/2738892675157948700015625)+((10411999054067186375792 EulerGamma Log[2])/11073297794934375)+((641961733376 (EulerGamma^2) Log[2])/17364375)-((160490433344 (π^2) Log[2])/10418625)+((633878436474521157736 ((Log[2])^2))/316379936998125)+((4076943104 EulerGamma ((Log[2])^2))/55125)+((2568787766528 ((Log[2])^3))/52093125)+((75421247572218176728578441 Log[3])/33926135187504560000)-((101566096731423 EulerGamma Log[3])/787286500)-((101566096731423 Log[2] Log[3])/787286500)-((101566096731423 ((Log[3])^2))/1574573000)+((69917822132336320439453125 Log[5])/50877570963478267008)-((145881103515625 EulerGamma Log[5])/655922124)-((145881103515625 Log[2] Log[5])/655922124)-((145881103515625 ((Log[5])^2))/1311844248)-((4542009473315817564229 Log[7])/5357853792720000)-((56777836663660304 Zeta[3])/245827456875)-((1998903808 EulerGamma Zeta[3])/55125)-((11999284736 Log[2] Zeta[3])/165375)-((18681344 Zeta[5])/525))-((89492704864 Zeta[5])/70875)-(37362688/525) EulerGamma Zeta[5]-((224285696 Log[2] Zeta[5])/1575)-((349184 Zeta[7])/5))+(y^(37/2)) (-((603030128666943986158593770852243980660957481190286079476458653047590603257 π)/2794480854185374333210750604725800056181900669831026490240000000000)-((293361999107050732683745067575943878641622771064160583097291 EulerGamma π)/4804605767693977665378076768893952993689525120000000)+((13366693998999011886238661087933582959417380727 (EulerGamma^2) π)/662620989518410061220858340335646875000)-((28513739318168553704352809081389 (EulerGamma^3) 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EulerGamma)/379520141318611477515065109375)-((3833333590609175379315656 (EulerGamma^2))/14251334262080540625)-((436232912128 (EulerGamma^3))/17364375)+((958333397652293844828914 (π^2))/8550800557248324375)+((109058228032 EulerGamma (π^2))/3472875)-((1019235776 (π^4))/826875)+((637434489877639250883921317305684302884 Log[2])/13283204946151401713027278828125)-((4020735235447751297901148336 EulerGamma Log[2])/498796699172818921875)-((274860291018496 (EulerGamma^2) Log[2])/1823259375)+((68715072754624 (π^2) Log[2])/1093955625)-((7899395133107798790415850584 ((Log[2])^2))/498796699172818921875)-((183251379471616 EulerGamma ((Log[2])^2))/607753125)-((157077404743936 ((Log[2])^3))/781396875)-((10468729095183198488173779450153 Log[3])/498595445783160766040000)+((1749985370754540867 EulerGamma Log[3])/2507507502500)+((1749985370754540867 Log[2] Log[3])/2507507502500)+((1749985370754540867 ((Log[3])^2))/5015015005000)-((942656058365433665973612841796875 Log[5])/74024499944811076757224128)+((563830465087890625 EulerGamma Log[5])/281390591196)+((563830465087890625 Log[2] Log[5])/281390591196)+((563830465087890625 ((Log[5])^2))/562781182392)+((5409577271551760939721652577 Log[7])/506196631701703800000)+((107047023402280376368 Zeta[3])/63275987399625)+((8153886208 EulerGamma Zeta[3])/55125)+((5137575533056 Log[2] Zeta[3])/17364375)+((76204544 Zeta[5])/525))-((46734269824 Zeta[7])/14175)+(5697536/5) EulerGamma Zeta[7]+((3589885952 Log[2] Zeta[7])/1575)+Log[y] (-(224616833429065659351650514562405710752441020592485172089/1675713507147732165659206462365357489428545312500)-((7410046537945667643563222486849348821401085363 EulerGamma)/227614612633272027523268871452959218750)+((4603544068145259942950574794342113816 (EulerGamma^2))/379520141318611477515065109375)-((15333334362436701517262624 (EulerGamma^3))/42754002786241621875)-((436232912128 (EulerGamma^4))/17364375)-((1149680557966654531378352707600594054 (π^2))/227712084791166886509039065625)+((3833333590609175379315656 EulerGamma (π^2))/8550800557248324375)+((218116456064 (EulerGamma^2) (π^2))/3472875)-((62961986609738034152 (π^4))/949139810994375)-((4076943104 EulerGamma (π^4))/826875)-((76204544 (π^6))/99225)-((339333492198917697500918017700207927515991732939 Log[2])/724228312924047360301310045532142968750)+((2551255343296725877659164575539807291536 EulerGamma Log[2])/13283204946151401713027278828125)-((8041470470895502595802296672 (EulerGamma^2) Log[2])/498796699172818921875)-((1099441164073984 (EulerGamma^3) Log[2])/5469778125)+((2010367617723875648950574168 (π^2) Log[2])/299278019503691353125)+((274860291018496 EulerGamma (π^2) Log[2])/1093955625)-((2568787766528 (π^4) Log[2])/260465625)+((5047386154904607043939655097500543155784 ((Log[2])^2))/13283204946151401713027278828125)-((31597580532431195161663402336 EulerGamma ((Log[2])^2))/498796699172818921875)-((366502758943232 (EulerGamma^2) ((Log[2])^2))/607753125)+((91625689735808 (π^2) ((Log[2])^2))/364651875)-((1355185821179848697854289632 ((Log[2])^3))/19433637630109828125)-((628309618975744 EulerGamma ((Log[2])^3))/781396875)-((146607814852864 ((Log[2])^4))/364651875)+((116488879685132083950853439885032121945104029 Log[3])/136445922468265539106508218688000000)-((10468729095183198488173779450153 EulerGamma Log[3])/124648861445790191510000)+((1749985370754540867 (EulerGamma^2) Log[3])/1253753751250)-((583328456918180289 (π^2) Log[3])/1003003001000)-((8809458250510680228141148735623 Log[2] Log[3])/56658573384450087050000)+((1749985370754540867 EulerGamma Log[2] Log[3])/626876875625)+((1749985370754540867 ((Log[2])^2) Log[3])/1253753751250)-((10468729095183198488173779450153 ((Log[3])^2))/249297722891580383020000)+((1749985370754540867 EulerGamma ((Log[3])^2))/1253753751250)+((1749985370754540867 Log[2] ((Log[3])^2))/1253753751250)+((583328456918180289 ((Log[3])^3))/1253753751250)+((803929429571125524517991556040268945966796875 Log[5])/5303804890145463322938648447836848128)-((942656058365433665973612841796875 EulerGamma Log[5])/18506124986202769189306032)+((563830465087890625 (EulerGamma^2) Log[5])/140695295598)-((2819152325439453125 (π^2) Log[5])/1688343547176)-((942656058365433665973612841796875 Log[2] Log[5])/18506124986202769189306032)+((563830465087890625 EulerGamma Log[2] Log[5])/70347647799)+((563830465087890625 ((Log[2])^2) Log[5])/140695295598)-((942656058365433665973612841796875 ((Log[5])^2))/37012249972405538378612064)+((563830465087890625 EulerGamma ((Log[5])^2))/140695295598)+((563830465087890625 Log[2] ((Log[5])^2))/140695295598)+((563830465087890625 ((Log[5])^3))/422085886794)-((24880765241400874886715360571240776613799 Log[7])/56993582044861877683942502400000)+((5409577271551760939721652577 EulerGamma Log[7])/126549157925425950000)+((5409577271551760939721652577 Log[2] Log[7])/126549157925425950000)+((5409577271551760939721652577 ((Log[7])^2))/253098315850851900000)+((785292323334843175460207687 Log[11])/496126990022307840000)-((1165649553860349108110535809216 Zeta[3])/46952445859850549143125)+((428188093609121505472 EulerGamma Zeta[3])/63275987399625)+((16307772416 (EulerGamma^2) Zeta[3])/55125)-((4076943104 (π^2) Zeta[3])/33075)+((173388805720560325114432 Log[2] Zeta[3])/2214659558986875)+((20550302132224 EulerGamma Log[2] Zeta[3])/17364375)+((6850518858752 ((Log[2])^2) Zeta[3])/5788125)-((914094870582807 Log[3] Zeta[3])/196821625)-((3647027587890625 Log[5] Zeta[3])/163980531)-((152409088 ((Zeta[3])^2))/525)+((77127333157976128 Zeta[5])/7023641625)+(304818176/525) EulerGamma Zeta[5]+((192058898432 Log[2] Zeta[5])/165375)+((2848768 Zeta[7])/5))+1118208 Zeta[9])+(y^18) (-((10685803642693713070804800589351189758260856849137597355786376760727374428293720461)/73043313234211611779332292567238904507516893342818825250000000000)+((42078393679332192545559151688941477220823425937685135864726585481 EulerGamma)/19605121891108702320940929953540990971401894453281250000)-((7146260704835121718283739841085806949062354519440581 (EulerGamma^2))/18365464378003275660760821007967769496875000)+((13743822124593790641916601273779434076384 (EulerGamma^3))/3280951621699396223117737870546875)+((15656355380977172961439876864 (EulerGamma^4))/6484357089246645984375)-((745989978684544 (EulerGamma^5))/9116296875)+((57750367564683604776331344385652599511336921711524818793704559095615182843659 (π^2))/21835624411725080975244154802783356094819491159788748800000000)-((3438818380211474005752001255383310999096 EulerGamma (π^2))/656190324339879244623547574109375)-((7828177690488586480719938432 (EulerGamma^2) (π^2))/1296871417849329196875)+((372994989342272 (EulerGamma^3) (π^2))/1093955625)+((1659944511679397604153026252732106438992465615661531190711615179482167363 (π^4))/6431803943064709697165103118997051785507646063247360000000)+((250049570255836753624 EulerGamma (π^4))/1581899684990625)-((2141061012032 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Log[2])/3890614253547987590625)+((5419285203819328 (EulerGamma^2) (π^2) Log[2])/7657689375)+((90157475535459046070644744 (π^4) Log[2])/15115051490085421875)-((224282713025408 EulerGamma (π^4) Log[2])/1823259375)-((886270668032 (π^6) Log[2])/24310125)-((176247237805950305021829861883691002584001885900054673 ((Log[2])^2))/15426990077522751555039089646692926377375000)-((31128568831247058208543588428845261486957984 EulerGamma ((Log[2])^2))/22966661351895773561824165093828125)+((1773220035330183646003699329536 (EulerGamma^2) ((Log[2])^2))/6484357089246645984375)-((52628094140672 (EulerGamma^3) ((Log[2])^2))/850854375)-((443269594353952333938231538304 (π^2) ((Log[2])^2))/3890614253547987590625)+((13157023535168 EulerGamma (π^2) ((Log[2])^2))/170170875)-((4443358801472 (π^4) ((Log[2])^2))/121550625)-((6710506085275527019841197960463722892230624 ((Log[2])^3))/9842854865098188669353213611640625)+((10622980607835483376907137209344 EulerGamma 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Log[3])/69906615625)-((1574231787807894473509525408614326568108704193766393945837933281 π ((Log[2])^2) Log[3])/1815641832300706121532961697150848535074593800000000)+((25766923892969009517535040579518343296894578 EulerGamma π ((Log[2])^2) Log[3])/300744623202885779854625360546875)-((52241301650369896599307392 (EulerGamma^2) π ((Log[2])^2) Log[3])/113980989111171875)-((64585536884357266053465960804015187278 (π^3) ((Log[2])^2) Log[3])/706927480056145689262796875)+((146368462896428328640512 EulerGamma (π^3) ((Log[2])^2) Log[3])/296054517171875)+((205167434417442268416 (π^5) ((Log[2])^2) Log[3])/3844863859375)+((16522397434706239809032207909338803389088294 π ((Log[2])^3) Log[3])/300744623202885779854625360546875)-((34827534433579931066204928 EulerGamma π ((Log[2])^3) Log[3])/113980989111171875)+((48789487632142776213504 (π^3) ((Log[2])^3) Log[3])/296054517171875)-((8706883608394982766551232 π ((Log[2])^4) Log[3])/113980989111171875)+((684222130889892599818008248699982069038962069443076484964017139971120023581969883 π ((Log[3])^2))/(316125728285590611117690987238242444870503738926567620288000000000000))-((1475449531012317658049364850097195511565803586655979047681683029 EulerGamma π ((Log[3])^2))/4539104580751765303832404242877121337686484500000000)+((158334451692134541707277064362895862882337 (EulerGamma^2) π ((Log[3])^2))/12029784928115431194185014421875)-((17413767216789965533102464 (EulerGamma^3) π ((Log[3])^2))/113980989111171875)+((2570490132437868394507931274644272337921812787913035997 (π^3) ((Log[3])^2))/6425133383030972900727379035905711900000000)-((6900268765050645090441872208686013726 EulerGamma (π^3) ((Log[3])^2))/271895184636979111254921875)+((73184231448214164320256 (EulerGamma^2) (π^3) ((Log[3])^2))/296054517171875)-((1097073288315411378890856182897472 (π^5) ((Log[3])^2))/207712134940396570859375)+((205167434417442268416 EulerGamma (π^5) 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Log[7])/1738881502966249885546875)+((12082938672825332852365472972472217509084987113749875123431348418223686993289 π ((Log[7])^2))/58634938951164548746236158236566748542127490134931447040000000000)+((145496377240821423047108111586375086136675450840924336601477 EulerGamma π ((Log[7])^2))/14551569578211835863948052342859874524394000000000)-((1548819559690098899794341095977772 (EulerGamma^2) π ((Log[7])^2))/579627167655416628515625)-((2169569282039101014936991537270462370653880637320399 (π^3) ((Log[7])^2))/182634231291179948597436334742601360000000)+((3629640749190054334971673140892 EulerGamma (π^3) ((Log[7])^2))/524549472991327265625)+((4253010586596983653297909606 (π^5) ((Log[7])^2))/2373527027110078125)+((145496377240821423047108111586375086136675450840924336601477 π Log[2] ((Log[7])^2))/14551569578211835863948052342859874524394000000000)-((3097639119380197799588682191955544 EulerGamma π Log[2] ((Log[7])^2))/579627167655416628515625)+((3629640749190054334971673140892 (π^3) Log[2] 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Log[11])/1270908055726894199784221095680000000000)-((62324318164934724070187112401691811182028564876917693017 π Log[2] Log[11])/754633430789236603476875881087392000000000000)-((62324318164934724070187112401691811182028564876917693017 π ((Log[11])^2))/1509266861578473206953751762174784000000000000)-((3783218681857208504505820526803364011561989458899777313364036473 π Log[13])/89873716484923585772743306806521427179185766400000000)-((123466193580195481555917504322987494284933 EulerGamma π Log[13])/88408545686765056880164690329600)+((803735862064367180884790964546238069957 (π^3) Log[13])/241950042930391507608551424000)-((123466193580195481555917504322987494284933 π Log[2] Log[13])/88408545686765056880164690329600)-((123466193580195481555917504322987494284933 π ((Log[13])^2))/176817091373530113760329380659200)+(-((9335686500018653381042606925771710983466618003 π)/408554473759834337207715296409806250000)+((1448827503392649435818849025224 EulerGamma 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Log[3] Zeta[7])/876750875)-(413860741632/343) EulerGamma Log[3] Zeta[7]-(413860741632/343) Log[2] Log[3] Zeta[7]-(206930370816/343) ((Log[3])^2) Zeta[7]-((4341715087890625000 Log[5] Zeta[7])/27054027)+(465823064064/245) Zeta[3] Zeta[7]+Log[y] (-((84484843435664639603592435554095877721470426016743834053734337661940137750800399048688441873)/(2281701257792712082403575405011977535154231778247819711696214060058994375000000000))-((868603754108628840067830006036920036408019260096209423677696406714796659473689 EulerGamma)/(56883119310133092024758091994297260225643221463536909828158437500000))+((131629886881804963192494192501927187647196744093077708897565064 (EulerGamma^2))/19717795005425419000946337596952146091927192697265625)-((153168594985968280551546996212801846298333635363624 (EulerGamma^3))/334154243172554873789835353878430588671875)-((9008074262199918634332133556694944 (EulerGamma^4))/681538351865268726187734375)+((1324248181853235712 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((Log[2])^2) Log[3])/117649)-((122360080490484970979304822222 ((Log[2])^3) Log[3])/59189291454621453125)+((2806333485696 EulerGamma ((Log[2])^3) Log[3])/117649)+((701583371424 ((Log[2])^4) Log[3])/117649)+((705655540600604409768325855004342574221086225255886383744431 ((Log[3])^2))/84428822706380196304718051483415416650760000000000)+((5425125425840475039682073302292031379848951453 EulerGamma ((Log[3])^2))/670688171814729886056635407261250000)-((496553692168689005338499713329 (EulerGamma^2) ((Log[3])^2))/769460788910078890625)+((1403166742848 (EulerGamma^3) ((Log[3])^2))/117649)+((165517897389563001779499904443 (π^2) ((Log[3])^2))/615568631128063112500)-((1753958428560 EulerGamma (π^2) ((Log[3])^2))/117649)+((80951927472 (π^4) ((Log[3])^2))/84035)+((7550898451178762953077081020351839235089757853 Log[2] ((Log[3])^2))/670688171814729886056635407261250000)-((1532955349307597418893554946658 EulerGamma Log[2] ((Log[3])^2))/769460788910078890625)+((4209500228544 (EulerGamma^2) Log[2] ((Log[3])^2))/117649)-((1753958428560 (π^2) Log[2] ((Log[3])^2))/117649)-((118756876329456192514848453939 ((Log[2])^2) ((Log[3])^2))/69950980810007171875)+((4209500228544 EulerGamma ((Log[2])^2) ((Log[3])^2))/117649)+((1403166742848 ((Log[2])^3) ((Log[3])^2))/117649)+((18810499339657408975249086335811544589314375173 ((Log[3])^3))/5365505374517839088453083258090000000)-((331035794779126003558999808886 EulerGamma ((Log[3])^3))/769460788910078890625)+((1403166742848 (EulerGamma^2) ((Log[3])^3))/117649)-((584652809520 (π^2) ((Log[3])^3))/117649)-((510985116435865806297851648886 Log[2] ((Log[3])^3))/769460788910078890625)+((2806333485696 EulerGamma Log[2] ((Log[3])^3))/117649)+((1403166742848 ((Log[2])^2) ((Log[3])^3))/117649)-((165517897389563001779499904443 ((Log[3])^4))/1538921577820157781250)+((701583371424 EulerGamma ((Log[3])^4))/117649)+((701583371424 Log[2] ((Log[3])^4))/117649)+((701583371424 ((Log[3])^5))/588245)-((63852230050492603032634698079760489921663704021979955404272039362412109375 Log[5])/216403714154166411257878425654466191159597520505577065795813376)+((13338455427528686244630696322632491851210839397054638671875 EulerGamma Log[5])/93766923426798023375674861188488406079313596416)-((12739706630355941988131602181524850746826171875 (EulerGamma^2) Log[5])/744868451719610755397641148019619968)+((4110726329625978195800781250 (EulerGamma^3) Log[5])/6593870675642811561)+((63698533151779709940658010907624253734130859375 (π^2) Log[5])/8938421420635329064771693776235439616)-((10276815824064945489501953125 EulerGamma (π^2) Log[5])/13187741351285623122)+((103708449184774169921875 (π^4) Log[5])/1197687889500102)+((11975288751674601078853678475445756880330839397054638671875 Log[2] Log[5])/93766923426798023375674861188488406079313596416)-((12739706630355941988131602181524850746826171875 EulerGamma Log[2] Log[5])/372434225859805377698820574009809984)+((4110726329625978195800781250 (EulerGamma^2) Log[2] Log[5])/2197956891880937187)-((10276815824064945489501953125 (π^2) Log[2] Log[5])/13187741351285623122)-((12739706630355941988131602181524850746826171875 ((Log[2])^2) Log[5])/744868451719610755397641148019619968)+((4110726329625978195800781250 EulerGamma ((Log[2])^2) Log[5])/2197956891880937187)+((4110726329625978195800781250 ((Log[2])^3) Log[5])/6593870675642811561)+((13338455427528686244630696322632491851210839397054638671875 ((Log[5])^2))/187533846853596046751349722376976812158627192832)-((12739706630355941988131602181524850746826171875 EulerGamma ((Log[5])^2))/744868451719610755397641148019619968)+((2055363164812989097900390625 (EulerGamma^2) ((Log[5])^2))/2197956891880937187)-((10276815824064945489501953125 (π^2) ((Log[5])^2))/26375482702571246244)-((12739706630355941988131602181524850746826171875 Log[2] ((Log[5])^2))/744868451719610755397641148019619968)+((4110726329625978195800781250 EulerGamma Log[2] ((Log[5])^2))/2197956891880937187)+((2055363164812989097900390625 ((Log[2])^2) ((Log[5])^2))/2197956891880937187)-((12739706630355941988131602181524850746826171875 ((Log[5])^3))/2234605355158832266192923444058859904)+((4110726329625978195800781250 EulerGamma ((Log[5])^3))/6593870675642811561)+((4110726329625978195800781250 Log[2] ((Log[5])^3))/6593870675642811561)+((2055363164812989097900390625 ((Log[5])^4))/13187741351285623122)+((8569284259078318114685167558878717238369407520170216169268954972049193 Log[7])/9563807693021590397865111606762371902726381486080000000000)-((17791168384615607187619993179439157821911104597159497 EulerGamma Log[7])/102816307986145748840038232892131136000000)+((60151044291235339691464876005156969101 (EulerGamma^2) Log[7])/7560048314294167698452160000)-((60151044291235339691464876005156969101 (π^2) Log[7])/18144115954306002476285184000)-((17791168384615607187619993179439157821911104597159497 Log[2] Log[7])/102816307986145748840038232892131136000000)+((60151044291235339691464876005156969101 EulerGamma Log[2] Log[7])/3780024157147083849226080000)+((60151044291235339691464876005156969101 ((Log[2])^2) Log[7])/7560048314294167698452160000)-((17791168384615607187619993179439157821911104597159497 ((Log[7])^2))/205632615972291497680076465784262272000000)+((60151044291235339691464876005156969101 EulerGamma ((Log[7])^2))/7560048314294167698452160000)+((60151044291235339691464876005156969101 Log[2] ((Log[7])^2))/7560048314294167698452160000)+((60151044291235339691464876005156969101 ((Log[7])^3))/22680144942882503095356480000)-((2486194023112290001250359513883418281590007514410384044277 Log[11])/66569937661131144662231169042932121600000000000)+((588708608044809005100194589978655605131 EulerGamma Log[11])/162355772488434000840000000000)+((588708608044809005100194589978655605131 Log[2] Log[11])/162355772488434000840000000000)+((588708608044809005100194589978655605131 ((Log[11])^2))/324711544976868001680000000000)+((679400549867021829649922015669648508484354399 Log[13])/164744212806258848755555368960000000)-((134853565550982765742593221506359311135760336749127416 Zeta[3])/7685547592968762097166213139203903539453125)+((210208441608089321887664249765530205201295952 EulerGamma Zeta[3])/22966661351895773561824165093828125)-((140304888010159811875887977984 (EulerGamma^2) Zeta[3])/720484121027405109375)-((29353206266482688 (EulerGamma^3) Zeta[3])/850854375)+((35331056345858817970362893696 (π^2) Zeta[3])/432290472616443065625)+((7338301566620672 EulerGamma (π^2) Zeta[3])/170170875)-((354035287781888 (π^4) Zeta[3])/121550625)+((77916872451636152223707774702125747683379024 Log[2] Zeta[3])/1708264067496379851705929635078125)+((72486869675500036279175942534144 EulerGamma Log[2] Zeta[3])/6484357089246645984375)-((1166423269360144384 (EulerGamma^2) Log[2] Zeta[3])/12762815625)+((291605817340036096 (π^2) Log[2] Zeta[3])/7657689375)+((133927488214659626428380377020928 ((Log[2])^2) Zeta[3])/6484357089246645984375)-((285827081365663744 EulerGamma ((Log[2])^2) Zeta[3])/4254271875)-((239597193570684928 ((Log[2])^3) Zeta[3])/38288446875)-((8127724702225066985756790750925604761623 Log[3] Zeta[3])/195233845539557477250598000000)+((20730184593353648802614916 EulerGamma Log[3] Zeta[3])/3137518762503125)-((1942846259328 (EulerGamma^2) Log[3] Zeta[3])/16807)+((809519274720 (π^2) Log[3] Zeta[3])/16807)+((35403621318177841646390916 Log[2] Log[3] Zeta[3])/3137518762503125)-((3885692518656 EulerGamma Log[2] Log[3] Zeta[3])/16807)-((1942846259328 ((Log[2])^2) Log[3] Zeta[3])/16807)+((10365092296676824401307458 ((Log[3])^2) Zeta[3])/3137518762503125)-((1942846259328 EulerGamma ((Log[3])^2) Zeta[3])/16807)-((1942846259328 Log[2] ((Log[3])^2) Zeta[3])/16807)-((647615419776 ((Log[3])^3) Zeta[3])/16807)+((1752369396103777743306086030242919921875 Log[5] Zeta[3])/18284051486368335959034359616)-((2074168983695483398437500 EulerGamma Log[5] Zeta[3])/199614648250017)-((2074168983695483398437500 Log[2] Log[5] Zeta[3])/199614648250017)-((1037084491847741699218750 ((Log[5])^2) Zeta[3])/199614648250017)-((2814947134632181532728210894623517 Log[7] Zeta[3])/45465661101934850400000)+((137538403975505850691523456 ((Zeta[3])^2))/111963344371003125)+((1416141151127552 EulerGamma ((Zeta[3])^2))/8103375)+((19786406083213312 Log[2] ((Zeta[3])^2))/121550625)+((448349136768 Log[3] ((Zeta[3])^2))/2401)+((712274636375822575237363136814293872 Zeta[5])/47833792276243366690171875)-((313313880153588106022586112 EulerGamma Zeta[5])/111963344371003125)-((1416141151127552 (EulerGamma^2) Zeta[5])/8103375)+((354035287781888 (π^2) Zeta[5])/4862025)+((5699629983121272971316333824 Log[2] Zeta[5])/201534019867805625)-((39572812166426624 EulerGamma Log[2] Zeta[5])/121550625)-((5624994571937792 ((Log[2])^2) Zeta[5])/40516875)+((112793599495721237718132 Log[3] Zeta[5])/6143393381125)-((896698273536 EulerGamma Log[3] Zeta[5])/2401)-((896698273536 Log[2] Log[3] Zeta[5])/2401)-((448349136768 ((Log[3])^2) Zeta[5])/2401)-((21110502730346679687500 Log[5] Zeta[5])/731189187729)+((44720822198272 Zeta[3] Zeta[5])/77175)-((1962166332847900672 Zeta[7])/282335625)-((44720822198272 EulerGamma Zeta[7])/77175)-((23823399919616 Log[2] Zeta[7])/42875)-(206930370816/343) Log[3] Zeta[7]-((232911532032 Zeta[9])/245))-((142063338836527616 Zeta[9])/12733875)-(465823064064/245) EulerGamma Zeta[9]-((20435099082752 Log[2] Zeta[9])/11025)-(95506324992/49) Log[3] Zeta[9]-((21699936256 Zeta[11])/7))+(y^20) (-64892602037087266084039249501699495302603898149360258037247280905112878670476399799518519009704536142531/1249777154287958905471149910112814021391294454486031807559377813134451778875000000000-((1676341055345104499047045830734510696377317707774362264336555841510798635668937579 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Log[3])/172563531937671875)-((579697774063722513791121334671412319009113638150035781 π ((Log[2])^3) Log[3])/1810301183127110774444399199518783393359375)+((352570213998510221402845093226376 EulerGamma π ((Log[2])^3) Log[3])/864544157825395782109375)-((7680082210048726239387037176 (π^3) ((Log[2])^3) Log[3])/34547219093921909375)+((88142553499627555350711273306594 π ((Log[2])^4) Log[3])/864544157825395782109375)-(503008123636269313648636204035496211145113063336513757325544853706923544160874425674380979913 π ((Log[3])^2))/26376467575048687678173596790183742904718970832469555621389870259264000000000000+((86402441148961195149906239574219025017146786268452584726287011114788851 EulerGamma π ((Log[3])^2))/38576833072383164921843545201662249773817789992972000000000)-((226927454683296914451637916107657608272926212783213519 (EulerGamma^2) π ((Log[3])^2))/3620602366254221548888798399037566786718750)+((176285106999255110701422546613188 (EulerGamma^3) π 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Log[7])/106354437552861152185447652605797580946150105262533376000000000)+((321379547588897929946362980122709477351891280150608378214093 EulerGamma (π^3) Log[7])/122111073383595825431731907772250695309600000000)-((107454722829070556998285851814938502231582 (EulerGamma^2) (π^3) Log[7])/847183148501226311911509140625)+((313082832845218520138841236364381162662382479603939 (π^5) Log[7])/450763219970003986665823944243360000000)-((4420167481053724818144743184111733286 EulerGamma (π^5) Log[7])/67252770381934294825078125)-((25976790057991556032543375674754 (π^7) Log[7])/1067758519995781453125)+(11776570806812635087204725546755025982101607834213427003084732449458935191928193907656857 π Log[2] Log[7])/1128992793515629432529791234165490019640643339840824756149163710720000000000-((4002192152007115543598007925947217414657640182299188052726869390647 EulerGamma π Log[2] Log[7])/1945864987137643115398861455391908141151014468000000000)+((5224803953263946490717916308009425001403577068 (EulerGamma^2) π Log[2] Log[7])/53359830608349739255746403222265625)+((321379547588897929946362980122709477351891280150608378214093 (π^3) Log[2] Log[7])/122111073383595825431731907772250695309600000000)-((214909445658141113996571703629877004463164 EulerGamma (π^3) Log[2] Log[7])/847183148501226311911509140625)-((4420167481053724818144743184111733286 (π^5) Log[2] Log[7])/67252770381934294825078125)-((4002192152007115543598007925947217414657640182299188052726869390647 π ((Log[2])^2) Log[7])/3891729974275286230797722910783816282302028936000000000)+((5224803953263946490717916308009425001403577068 EulerGamma π ((Log[2])^2) Log[7])/53359830608349739255746403222265625)-((107454722829070556998285851814938502231582 (π^3) ((Log[2])^2) Log[7])/847183148501226311911509140625)+((5224803953263946490717916308009425001403577068 π ((Log[2])^3) Log[7])/160079491825049217767239209666796875)+((11780337045481340105539992752108762814317504757015544832396947824675817103654485971667097 π 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Log[11])/(14898503712685546954378405816275146606452749059103518875142553600000000000000))+((200347776461855233479731008403329778856938285208848252323625844359753 EulerGamma π Log[11])/657394656535310997130633798554912877311158556000000000000)+((64093723490170129187858340765167108891 (EulerGamma^2) π Log[11])/6987861026034593236277760000)-((4919800979102443713982147326033543565506212730969883065098423 (π^3) Log[11])/7943154766175421512048609004998896917840000000000)-((803912153240446318205748857943943213 EulerGamma (π^3) Log[11])/21701431757871407566080000)-((10083276722514149943287613953686859 (π^5) Log[11])/673957508008428806400000)+((200347776461855233479731008403329778856938285208848252323625844359753 π Log[2] Log[11])/657394656535310997130633798554912877311158556000000000000)+((64093723490170129187858340765167108891 EulerGamma π Log[2] Log[11])/3493930513017296618138880000)-((803912153240446318205748857943943213 (π^3) Log[2] Log[11])/21701431757871407566080000)+((64093723490170129187858340765167108891 π ((Log[2])^2) Log[11])/6987861026034593236277760000)+((200347776461855233479731008403329778856938285208848252323625844359753 π ((Log[11])^2))/1314789313070621994261267597109825754622317112000000000000)+((64093723490170129187858340765167108891 EulerGamma π ((Log[11])^2))/6987861026034593236277760000)-((803912153240446318205748857943943213 (π^3) ((Log[11])^2))/43402863515742815132160000)+((64093723490170129187858340765167108891 π Log[2] ((Log[11])^2))/6987861026034593236277760000)+((64093723490170129187858340765167108891 π ((Log[11])^3))/20963583078103779708833280000)-((289245069720049844646806580759200215490564664959942742622427893565664257111 π Log[13])/663662213779238937850044856375781535561998864803430400000000000)+((5515808476079097644968956761962164703102204719409279 EulerGamma π Log[13])/117003049252570644111508275733248000000000)-((71611414601205122445624012875442823513104348107 (π^3) Log[13])/638532741138928117949121177600000000)+((5515808476079097644968956761962164703102204719409279 π Log[2] Log[13])/117003049252570644111508275733248000000000)+((5515808476079097644968956761962164703102204719409279 π ((Log[13])^2))/234006098505141288223016551466496000000000)+((641134799495065624128353745307623309107040824285402057 π Log[17])/1933174901396487784457612349949870080000000000)+(-((635530875932668349437884589991400318193193 π)/1094144259930239501042948279015625000)-((2694033713964855021184 EulerGamma π)/31659759509765625)+((25177885177241635712 (π^3))/904564557421875)-((28508402020807454848 π Log[2])/167511955078125)) ((Log[y])^5)-((673508428491213755296 π ((Log[y])^6))/94979278529296875)+((126896201859715118187441666360146952415122373596570765811861553370342931421957491811345737 π Zeta[3])/(94578038399416455812183075640393809657212721493498258646348735349640000000000))-((50615783774725230350352655507227369951622372171853627966697781530526859 EulerGamma π Zeta[3])/71777229236611791903019739829433841451380896068609000000000)+((207067998922895664590195988050614784072921047030656330286 (EulerGamma^2) π Zeta[3])/3615310229524777623781882932283277233294921875)-((12034977553395224010197079737372512432 (EulerGamma^3) π Zeta[3])/61964354235913717860537890625)+((805692325671732342784 (EulerGamma^4) π Zeta[3])/60304303828125)+((891425309045327732619598422439718113330232138053665669721667353 (π^3) Zeta[3])/1732429964312732331266133450322338819839973000000000)-((6617932171530700701116327298149499634180730763136 EulerGamma (π^3) Zeta[3])/43849918424012430521968566639858984375)+((296288654974332869177643227997209648 (EulerGamma^2) (π^3) Zeta[3])/67404891942718885007578125)-((30119339277447938048 (EulerGamma^3) (π^3) Zeta[3])/1722980109375)-((161822259164165734571985786019611719051629112 (π^5) Zeta[3])/5379698003191317693776047925390625)+((2663750804942549025693997546592 EulerGamma (π^5) Zeta[3])/897834058511074059375)-((281489152125681664 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Log[5] Zeta[3])/20439631390613023694341490137422994696644759185049793757184)-((125133380624095067387434199410892725016639288026123046875 EulerGamma Log[5] Zeta[3])/366065201348112584028805849058586894757297152)+((50348811818227179053667501661547851562500 (EulerGamma^2) Log[5] Zeta[3])/258899531924165103285317056053)-((871681899025878906250000 (EulerGamma^3) Log[5] Zeta[3])/90537422717313)-((62936014772783973817084377076934814453125 (π^2) Log[5] Zeta[3])/776698595772495309855951168159)+((1089602373782348632812500 EulerGamma (π^2) Log[5] Zeta[3])/90537422717313)-((281915232543945312500 (π^4) Log[5] Zeta[3])/211042943397)+((252524685097749669858026196130313290983360711973876953125 Log[2] Log[5] Zeta[3])/366065201348112584028805849058586894757297152)+((100697623636454358107335003323095703125000 EulerGamma Log[2] Log[5] Zeta[3])/258899531924165103285317056053)-((871681899025878906250000 (EulerGamma^2) Log[2] Log[5] Zeta[3])/30179140905771)+((1089602373782348632812500 (π^2) Log[2] Log[5] 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EulerGamma ((Log[2])^3) Log[3] Zeta[3])/117649)+((50514002742528 ((Log[2])^4) Log[3] Zeta[3])/117649)+((3683602387727303803128656712016753028898223856173916702000367 ((Log[3])^2) Zeta[3])/422144113531900981523590257417077083253800000000)+((113890883309922945067346238706295395974661444614 EulerGamma ((Log[3])^2) Zeta[3])/41918010738420617878539712953828125)-((8615569388000182326780674683608 (EulerGamma^2) ((Log[3])^2) Zeta[3])/69950980810007171875)+((101028005485056 (EulerGamma^3) ((Log[3])^2) Zeta[3])/117649)+((717964115666681860565056223634 (π^2) ((Log[3])^2) Zeta[3])/13990196162001434375)-((126285006856320 EulerGamma (π^2) ((Log[3])^2) Zeta[3])/117649)+((5828538777984 (π^4) ((Log[3])^2) Zeta[3])/84035)+((153637194263626333297544411435822267000125559814 Log[2] ((Log[3])^2) Zeta[3])/41918010738420617878539712953828125)-((26539903111340553904272525599952 EulerGamma Log[2] ((Log[3])^2) Zeta[3])/59189291454621453125)+((303084016455168 (EulerGamma^2) Log[2] ((Log[3])^2) Zeta[3])/117649)-((126285006856320 (π^2) Log[2] ((Log[3])^2) Zeta[3])/117649)-((327985584135136789944139406159688 ((Log[2])^2) ((Log[3])^2) Zeta[3])/769460788910078890625)+((303084016455168 EulerGamma ((Log[2])^2) ((Log[3])^2) Zeta[3])/117649)+((101028005485056 ((Log[2])^3) ((Log[3])^2) Zeta[3])/117649)+((959241398850296558783028099672565112218618579773 ((Log[3])^3) Zeta[3])/670688171814729886056635407261250000)-((5743712925333454884520449789072 EulerGamma ((Log[3])^3) Zeta[3])/69950980810007171875)+((101028005485056 (EulerGamma^2) ((Log[3])^3) Zeta[3])/117649)-((42095002285440 (π^2) ((Log[3])^3) Zeta[3])/117649)-((8846634370446851301424175199984 Log[2] ((Log[3])^3) Zeta[3])/59189291454621453125)+((202056010970112 EulerGamma Log[2] ((Log[3])^3) Zeta[3])/117649)+((101028005485056 ((Log[2])^2) ((Log[3])^3) Zeta[3])/117649)-((1435928231333363721130112447268 ((Log[3])^4) Zeta[3])/69950980810007171875)+((50514002742528 EulerGamma ((Log[3])^4) Zeta[3])/117649)+((50514002742528 Log[2] 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((Zeta[3])^2))/16807)+((2833996211447878555444565712 Log[2] Log[3] ((Zeta[3])^2))/1996602848865625)-((139884930671616 EulerGamma Log[2] Log[3] ((Zeta[3])^2))/16807)-((69942465335808 ((Log[2])^2) Log[3] ((Zeta[3])^2))/16807)+((8191567053651938861682007416 ((Log[3])^2) ((Zeta[3])^2))/21962631337521875)-((69942465335808 EulerGamma ((Log[3])^2) ((Zeta[3])^2))/16807)-((69942465335808 Log[2] ((Log[3])^2) ((Zeta[3])^2))/16807)-((23314155111936 ((Log[3])^3) ((Zeta[3])^2))/16807)+((44806610247216040390975716394744873046875 Log[5] ((Zeta[3])^2))/4571012871592083989758589904)-((207416898369548339843750000 EulerGamma Log[5] ((Zeta[3])^2))/199614648250017)-((207416898369548339843750000 Log[2] Log[5] ((Zeta[3])^2))/199614648250017)-((103708449184774169921875000 ((Log[5])^2) ((Zeta[3])^2))/199614648250017)-((137932409596976895103682333836552333 Log[7] ((Zeta[3])^2))/11366415275483712600000)+((1345622296393921096638712832 ((Zeta[3])^3))/143952871334146875)+((75602432040706048 EulerGamma 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Zeta[3])/957211171875))+((11548068169778444582747667970775096042700999941742054415563498488681 Zeta[5])/245064023638858779011761624419262387142523680666015625)-((175764333743257833194882427179889587405662073072311571824 EulerGamma Zeta[5])/14029174177641391129747849381086490587890625)+((4135947915493400315597224675092480663473634688 (EulerGamma^2) Zeta[5])/16404758108496981115588689352734375)+((2630930085268552237738936752128 (EulerGamma^3) Zeta[5])/99759339834563784375)+((1205740216144246784 (EulerGamma^4) Zeta[5])/1823259375)-((1033494629909233794066967904245572590232645472 (π^2) Zeta[5])/9842854865098188669353213611640625)-((657732521317138059434734188032 EulerGamma (π^2) Zeta[5])/19951867966912756875)-((602870108072123392 (EulerGamma^2) (π^2) Zeta[5])/364651875)+((683479856527422033060487808 (π^4) Zeta[5])/719764356670734375)+((18900608010176512 EulerGamma (π^4) Zeta[5])/86821875)+((588113403768832 (π^6) 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Zeta[7])/2401)+((294056701884416 Zeta[9])/55125))-((3962917127940511744 Zeta[11])/375375)+(36436686946304/525) EulerGamma Zeta[11]+((756739405070336 Log[2] Zeta[11])/11025)+(3438227699712/49) Log[3] Zeta[11]+Log[y] (-11940124264392602367919556009340822644995501082849214595190424372743401166498027564444377982400278984543135846713489169038938017/1240646574977724650013270620276358777800910803509488474821740785180489771028744938890284565506080269531250000000000+(3033116580975297921916140564454449063039480654301053050664706074740800265874829043132425030645978815051797273 EulerGamma)/707937038019407432257988517584728322855612657505358343560730765202928232045126112390747070312500-(10119998767194785847058747484072204411029426950939538231054402151654241308150396012624482853 (EulerGamma^2))/26444854893717044224285944340368901720966800314513707166808799631521655273437500-((7351973815688210275641407942557721505028676601089706747192625895495765132 (EulerGamma^3))/212089796252615360693908181434481880636245845976165704833984375)+((9578155536151548836665695860294798716297026839410221175696 (EulerGamma^4))/2083623795616113503839625196639262112122306640625)-((1833683710500474363808755250217086371584 (EulerGamma^5))/65785489413795063795271060546875)-((1168663503218601557504 (EulerGamma^6))/301521519140625)+((10122751067443556703986953716835570223784869976475073846150049108294960109251042910141282853 (π^2))/(63467651744920906138286266416885364130320320754832897200341119115651972656250000))+((1841539885356044838055479940522152346037757441914523875159435564216341283 EulerGamma (π^2))/42417959250523072138781636286896376127249169195233140966796875)-((4796255546000656107342608664742427938861369423142576187848 (EulerGamma^2) (π^2))/416724759123222700767925039327852422424461328125)+((916841855250237181904377625108543185792 (EulerGamma^3) (π^2))/7894258729655407655432527265625)+((292165875804650389376 (EulerGamma^4) (π^2))/12060860765625)+((13807183119712031823801110833245270992231270135995278671971368418 (π^4))/1901358804094593975091253982563242658864407867236328125)+((296630658802181679475378932571144104081446847369296 EulerGamma (π^4))/195284947308635965201851830188693201171875)-((29791370573566377283592772141632096 (EulerGamma^2) (π^4))/208634189346510834547265625)-((18983397116508201472 (EulerGamma^3) (π^4))/2871633515625)-((168277509209815125238098476656351413933407512 (π^6))/620099856501185886169252457533359375)-((595906718799514396201068013952 EulerGamma (π^6))/6284838409577518415625)-((602870108072123392 (EulerGamma^2) (π^6))/114865340625)-((1535401840649960888025137344 (π^8))/226725772351281328125)-((9450304005088256 EulerGamma (π^8))/3906984375)-((294056701884416 (π^10))/573024375)-(2824485569723368507735035819690610463883479942525421305634172399065461607218980694427805897964342890182479164211 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Log[2])/890777144260984514914414362024823898672232553099895960302734375)-((1059279942803961337523687220279373050436672013287909380057808 EulerGamma (π^2) Log[2])/8751219941587676716126425825884900870913687890625)-((842824570062629390840351400742350050367104 (EulerGamma^2) (π^2) Log[2])/55259811107587853588027690859375)+((21033702599136587470336 (EulerGamma^3) (π^2) Log[2])/253278076078125)+((1621259474242248735724151343002714443162498654410281008 (π^4) Log[2])/45110822828294907961627772773588129470703125)+((94135202526540468257420175620147221952 EulerGamma (π^4) Log[2])/30669225833937092678448046875)-((121920751222225481216 (EulerGamma^2) (π^4) Log[2])/6700478203125)+((11886944119274350802832173252327552 (π^6) Log[2])/8578804429073312637328125)-((24084776437976569856 EulerGamma (π^6) Log[2])/2412172153125)-((192633539372053504 (π^8) Log[2])/82046671875)+(90289295062255907866678039540597467981640842634182156925327326225535678616158887798761327806967 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(EulerGamma^2) Log[3])/1962027955029950552581556733983635698214982925125000000000)-((403136121512430579970562534846639123632043291129570229 (EulerGamma^3) Log[3])/4336978235513078218989790595638582675000000)+((14060947578691321361252878777500102 (EulerGamma^4) Log[3])/3851151248494944847578125)-((109447005942144 (EulerGamma^5) Log[3])/4117715)+((194771159303207306558219737329753241254936180969567104360977520687073 (π^2) Log[3])/1569622364023960442065245387186908558571986340100000000000)+((403136121512430579970562534846639123632043291129570229 EulerGamma (π^2) Log[3])/3469582588410462575191832476510866140000000)-((7030473789345660680626439388750051 (EulerGamma^2) (π^2) Log[3])/770230249698988969515625)+((91205838285120 (EulerGamma^3) (π^2) Log[3])/823543)-((60420688172056121554949358356248093764486529167 (π^4) Log[3])/4127311826552183914194679429300000000)+((699565134218655181271601848634 EulerGamma (π^4) Log[3])/349754904050035859375)-((12628500685632 (EulerGamma^2) (π^4) Log[3])/588245)+((1061105805267245912217917628 (π^6) Log[3])/1076168935538571875)-((1295230839552 EulerGamma (π^6) Log[3])/117649)-((149449712256 (π^8) Log[3])/60025)+(374331346479103905871482957327911258938090633076786520129500753157360831840880007849781 Log[2] Log[3])/11074750742620265041046406566828699644502604119240168035437440000000000000-((110108425883040868693299100590524598425469587680348723823830094963079 EulerGamma Log[2] Log[3])/196202795502995055258155673398363569821498292512500000000)-((1821482222273628436588496188821201661927142215560932127 (EulerGamma^2) Log[2] Log[3])/4336978235513078218989790595638582675000000)+((95156031629818700389260836991600408 (EulerGamma^3) Log[2] Log[3])/3851151248494944847578125)-((109447005942144 (EulerGamma^4) Log[2] Log[3])/823543)+((607160740757876145529498729607067220642380738520310709 (π^2) Log[2] Log[3])/3469582588410462575191832476510866140000000)-((23789007907454675097315209247900102 EulerGamma (π^2) Log[2] Log[3])/770230249698988969515625)+((273617514855360 (EulerGamma^2) (π^2) Log[2] Log[3])/823543)+((1090260927388295376352791274998 (π^4) Log[2] Log[3])/295946457273107265625)-((25257001371264 EulerGamma (π^4) Log[2] Log[3])/588245)-((1295230839552 (π^6) Log[2] Log[3])/117649)-((18653521915855082940262266942622599117500426014954706128900018774101 ((Log[2])^2) Log[3])/85305563262171763155719857999288508618042735875000000000)-((3045629937746301829942113357383770243989166899905375007 EulerGamma ((Log[2])^2) Log[3])/4336978235513078218989790595638582675000000)+((259470771389888295416639221132200612 (EulerGamma^2) ((Log[2])^2) Log[3])/3851151248494944847578125)-((218894011884288 (EulerGamma^3) ((Log[2])^2) Log[3])/823543)-((21622564282490691284719935094350051 (π^2) ((Log[2])^2) Log[3])/770230249698988969515625)+((273617514855360 EulerGamma (π^2) ((Log[2])^2) Log[3])/823543)-((12628500685632 (π^4) ((Log[2])^2) Log[3])/588245)-((1831308456230549538883115898169635802704405422864753589 ((Log[2])^3) Log[3])/4336978235513078218989790595638582675000000)+((328629479520139190054756768281200408 EulerGamma ((Log[2])^3) Log[3])/3851151248494944847578125)-((218894011884288 (EulerGamma^2) ((Log[2])^3) Log[3])/823543)+((91205838285120 (π^2) ((Log[2])^3) Log[3])/823543)+((12306296346933971338629833525653854 ((Log[2])^4) Log[3])/296242403730380372890625)-((109447005942144 EulerGamma ((Log[2])^4) Log[3])/823543)-((109447005942144 ((Log[2])^5) Log[3])/4117715)+((744753734567858683657596566485098395470053560170480134380940949396125191121593551215219 ((Log[3])^2))/(27045707076714752521292277089518508605522149006986515623384064000000000000))-((3188077032977719596055187808039183535436770884213240576864068999811 EulerGamma ((Log[3])^2))/4130585168484106426487487861018180417294700895000000000)-((5106391896594355109717882203676525990406268165526043 (EulerGamma^2) ((Log[3])^2))/28532751549428146177564411813411728125000)+((28121895157382642722505757555000204 (EulerGamma^3) ((Log[3])^2))/3851151248494944847578125)-((54723502971072 (EulerGamma^4) ((Log[3])^2))/823543)+((1702130632198118369905960734558841996802089388508681 (π^2) ((Log[3])^2))/22826201239542516942051529450729382500000)-((7030473789345660680626439388750051 EulerGamma (π^2) ((Log[3])^2))/770230249698988969515625)+((136808757427680 (EulerGamma^2) (π^2) ((Log[3])^2))/823543)+((349782567109327590635800924317 (π^4) ((Log[3])^2))/349754904050035859375)-((12628500685632 EulerGamma (π^4) ((Log[3])^2))/588245)-((647615419776 (π^6) ((Log[3])^2))/117649)-((1480561053919680431916184029223276804920599606243376004603194687664401 Log[2] ((Log[3])^2))/1962027955029950552581556733983635698214982925125000000000)-((135276062143813790626940298387434262007157366530758657 EulerGamma Log[2] ((Log[3])^2))/271061139719567388686861912227411417187500)+((142734047444728050583891255487400612 (EulerGamma^2) Log[2] ((Log[3])^2))/3851151248494944847578125)-((218894011884288 (EulerGamma^3) Log[2] ((Log[3])^2))/823543)-((11894503953727337548657604623950051 (π^2) Log[2] ((Log[3])^2))/770230249698988969515625)+((273617514855360 EulerGamma (π^2) Log[2] ((Log[3])^2))/823543)-((12628500685632 (π^4) Log[2] ((Log[3])^2))/588245)-((211785294360855877711541371422594798386033909302286337 ((Log[2])^2) ((Log[3])^2))/542122279439134777373723824454822834375000)+((259470771389888295416639221132200612 EulerGamma ((Log[2])^2) ((Log[3])^2))/3851151248494944847578125)-((328341017826432 (EulerGamma^2) ((Log[2])^2) ((Log[3])^2))/823543)+((136808757427680 (π^2) ((Log[2])^2) ((Log[3])^2))/823543)+((164314739760069595027378384140600204 ((Log[2])^3) ((Log[3])^2))/3851151248494944847578125)-((218894011884288 EulerGamma ((Log[2])^3) ((Log[3])^2))/823543)-((54723502971072 ((Log[2])^4) ((Log[3])^2))/823543)-((48903977386570565000370887845795939201724195734558754275051031892873 ((Log[3])^3))/85305563262171763155719857999288508618042735875000000000)-((373035446769911396706555560112192826909709470030388307 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Zeta[3])/69950980810007171875)+((151542008227584 (EulerGamma^2) ((Log[3])^2) Zeta[3])/117649)-((63142503428160 (π^2) ((Log[3])^2) Zeta[3])/117649)-((13269951555670276952136262799976 Log[2] ((Log[3])^2) Zeta[3])/59189291454621453125)+((303084016455168 EulerGamma Log[2] ((Log[3])^2) Zeta[3])/117649)+((151542008227584 ((Log[2])^2) ((Log[3])^2) Zeta[3])/117649)-((2871856462666727442260224894536 ((Log[3])^3) Zeta[3])/69950980810007171875)+((101028005485056 EulerGamma ((Log[3])^3) Zeta[3])/117649)+((101028005485056 Log[2] ((Log[3])^3) Zeta[3])/117649)+((25257001371264 ((Log[3])^4) Zeta[3])/117649)+((6704215914830071456619050980081666488143664702057916259765625 Log[5] Zeta[3])/632926733130886657785805313022296741035366775808)-((29618845276139739296648016456022476519775390625 EulerGamma Log[5] Zeta[3])/8464414224086485856791376682041136)+((411072632962597819580078125000 (EulerGamma^2) Log[5] Zeta[3])/2197956891880937187)-((513840791203247274475097656250 (π^2) Log[5] Zeta[3])/6593870675642811561)-((29618845276139739296648016456022476519775390625 Log[2] Log[5] Zeta[3])/8464414224086485856791376682041136)+((822145265925195639160156250000 EulerGamma Log[2] Log[5] Zeta[3])/2197956891880937187)+((411072632962597819580078125000 ((Log[2])^2) Log[5] Zeta[3])/2197956891880937187)-((29618845276139739296648016456022476519775390625 ((Log[5])^2) Zeta[3])/16928828448172971713582753364082272)+((411072632962597819580078125000 EulerGamma ((Log[5])^2) Zeta[3])/2197956891880937187)+((411072632962597819580078125000 Log[2] ((Log[5])^2) Zeta[3])/2197956891880937187)+((411072632962597819580078125000 ((Log[5])^3) Zeta[3])/6593870675642811561)-((6279554575865887436676778100711639651367600662363365937 Log[7] Zeta[3])/182634231291179948597436334742601360000000)+((2947401170270531644881778924252691485949 EulerGamma Log[7] Zeta[3])/945006039286770962306520000)+((2947401170270531644881778924252691485949 Log[2] Log[7] Zeta[3])/945006039286770962306520000)+((2947401170270531644881778924252691485949 ((Log[7])^2) Zeta[3])/1890012078573541924613040000)+((71233741573421889617123545387417328220851 Log[11] Zeta[3])/40588943122108500210000000000)-((999942625466749334935706301283477403323671872 ((Zeta[3])^2))/9842854865098188669353213611640625)-((236713999452669127460862774272 EulerGamma ((Zeta[3])^2))/6650622655637585625)-((1205740216144246784 (EulerGamma^2) ((Zeta[3])^2))/607753125)+((301435054036061696 (π^2) ((Zeta[3])^2))/364651875)+((3397744601470751261393003256712192 Log[2] ((Zeta[3])^2))/6484357089246645984375)-((48169552875953139712 EulerGamma Log[2] ((Zeta[3])^2))/12762815625)-((1440882682391422976 ((Log[2])^2) ((Zeta[3])^2))/850854375)+((8191567053651938861682007416 Log[3] ((Zeta[3])^2))/21962631337521875)-((69942465335808 EulerGamma Log[3] ((Zeta[3])^2))/16807)-((69942465335808 Log[2] Log[3] ((Zeta[3])^2))/16807)-((34971232667904 ((Log[3])^2) ((Zeta[3])^2))/16807)-((103708449184774169921875000 Log[5] ((Zeta[3])^2))/199614648250017)+((37801216020353024 ((Zeta[3])^3))/17364375)-((87877518899649364826494655487856964118214851945996425912 Zeta[5])/14029174177641391129747849381086490587890625)+((4135969504436762940150729126845979297099234688 EulerGamma Zeta[5])/16404758108496981115588689352734375)+((1315465042634276118869468376064 (EulerGamma^2) Zeta[5])/33253113278187928125)+((2411480432288493568 (EulerGamma^3) Zeta[5])/1823259375)-((329054999506145644303012625152 (π^2) Zeta[5])/19951867966912756875)-((602870108072123392 EulerGamma (π^2) Zeta[5])/364651875)+((9450304005088256 (π^4) Zeta[5])/86821875)-((439824550794748017777460271280988127168580586624 Log[2] Zeta[5])/20264701192849211966315439788671875)-((47240633609970107277822465739409408 EulerGamma Log[2] Zeta[5])/45390499624726521890625)+((48169552875953139712 (EulerGamma^2) Log[2] Zeta[5])/12762815625)-((12042388218988284928 (π^2) Log[2] Zeta[5])/7657689375)-((7691910392866144838229897002970112 ((Log[2])^2) Zeta[5])/4126409056793320171875)+((2881765364782845952 EulerGamma ((Log[2])^2) Zeta[5])/850854375)+((4762905094760255488 ((Log[2])^3) Zeta[5])/5469778125)+((5816554706614703710293915688825590774918663 Log[3] Zeta[5])/829743843543119278315041500000)-((113361750234893775359340103824 EulerGamma Log[3] Zeta[5])/153738419362653125)+((69942465335808 (EulerGamma^2) Log[3] Zeta[5])/16807)-((29142693889920 (π^2) Log[3] Zeta[5])/16807)-((19717956342295752733183959984 Log[2] Log[3] Zeta[5])/13976219942059375)+((139884930671616 EulerGamma Log[2] Log[3] Zeta[5])/16807)+((69942465335808 ((Log[2])^2) Log[3] Zeta[5])/16807)-((56680875117446887679670051912 ((Log[3])^2) Zeta[5])/153738419362653125)+((69942465335808 EulerGamma ((Log[3])^2) Zeta[5])/16807)+((69942465335808 Log[2] ((Log[3])^2) Zeta[5])/16807)+((23314155111936 ((Log[3])^3) Zeta[5])/16807)-((293698764838080346570358701989776611328125 Log[5] Zeta[5])/31997090101144587928310129328)+((207416898369548339843750000 EulerGamma Log[5] Zeta[5])/199614648250017)+((207416898369548339843750000 Log[2] Log[5] Zeta[5])/199614648250017)+((103708449184774169921875000 ((Log[5])^2) Zeta[5])/199614648250017)+((137932409596976895103682333836552333 Log[7] Zeta[5])/11366415275483712600000)-((1980272412835414598628764672 Zeta[3] Zeta[5])/47984290444715625)-((75602432040706048 EulerGamma Zeta[3] Zeta[5])/5788125)-((1541068314976428032 Log[2] Zeta[3] Zeta[5])/121550625)-((32281137847296 Log[3] Zeta[3] Zeta[5])/2401)-((588113403768832 ((Zeta[5])^2))/55125)+((53917418138679398179466643400480943104 Zeta[7])/15033477572533629531196875)+((2485319908316892965986233344 EulerGamma Zeta[7])/47984290444715625)+((37801216020353024 (EulerGamma^2) Zeta[7])/5788125)-((9450304005088256 (π^2) Zeta[7])/3472875)-((642477037703148559584485725184 Log[2] Zeta[7])/201534019867805625)+((1541068314976428032 EulerGamma Log[2] Zeta[7])/121550625)+((5362602960072704 ((Log[2])^2) Zeta[7])/900375)-((14364306657234454909779792 Log[3] Zeta[7])/6143393381125)+((32281137847296 EulerGamma Log[3] Zeta[7])/2401)+((32281137847296 Log[2] Log[3] Zeta[7])/2401)+((16140568923648 ((Log[3])^2) Zeta[7])/2401)+((2111050273034667968750000 Log[5] Zeta[7])/731189187729)-((1176226807537664 Zeta[3] Zeta[7])/55125)-((743233501401789733603328 Zeta[9])/1065252313125)+((1176226807537664 EulerGamma Zeta[9])/55125)+((2695497155108864 Log[2] Zeta[9])/128625)+(7449493349376/343) Log[3] Zeta[9]+((18218343473152 Zeta[11])/525))+((562855002112 Zeta[13])/5));

(Subscript[Δλ, 1])

The first tidal invariant up to order (y^25.5).

Δλ1=2 (y^3)+2 (y^4)-((19 (y^5))/4)+((227/3)-((593 (π^2))/256)) (y^6)+(27392/175) π (y^(17/2))-((254116 π (y^(19/2)))/1225)-((5977039346 π (y^(21/2)))/3274425)+(y^9) (-(6746904013/7257600)-((5435624 EulerGamma)/2835)+((4692901483 (π^2))/7077888)+((2193373 (π^4))/1048576)+((877432 Log[2])/2835)-((20898 Log[3])/7)-((2717812 Log[y])/2835))+(y^8) ((35629703/100800)-((17152 EulerGamma)/105)-((1008787 (π^2))/24576)-((5248 Log[2])/7)+((2916 Log[3])/7)-((8576 Log[y])/105))+(y^7) (-(71779/4800)+((768 EulerGamma)/5)-((719 (π^2))/256)+((1536 Log[2])/5)+((384 Log[y])/5))+(y^(23/2)) (((6426556598284309 π)/524431908000)-((46895104 EulerGamma π)/18375)+((438272 (π^3))/525)-((93790208 π Log[2])/18375)-((23447552 π Log[y])/18375))+(y^(25/2)) (((425532494729325719 π)/14913532383750)+((427856752 EulerGamma π)/385875)+((16089104 (π^3))/11025)+((12561842768 π Log[2])/1157625)-(2956824/343) π Log[3]+((213928376 π Log[y])/385875))+(y^(27/2)) (-((425577146707570254105031 π)/3212732800236960000)+((928193260264 EulerGamma π)/28014525)-((30834184 (π^3))/2695)-((80246336987576 π Log[2])/3094331625)+(21190572/343) π Log[3]+((464096630132 π Log[y])/28014525))+(y^12) ((53498906883627790209411067/8373457434101760000)-((53837173715700527 EulerGamma)/442489422375)+((169954100048 (EulerGamma^2))/9823275)+((6912901078249843141 (π^2))/73247647334400)-((812988393706820631 (π^4))/10995116277760)-((34346418841 (π^6))/402653184)+((84315513161325592 Log[2])/442489422375)-((60665220064 EulerGamma Log[2])/1964655)-((1124359929776 ((Log[2])^2))/9823275)-((831114908742429 Log[3])/1569568000)+(3260088/49) EulerGamma Log[3]+(3260088/49) Log[2] Log[3]+((1630044 ((Log[3])^2))/49)+((11660541015625 Log[5])/62270208)+((678223072849 Log[7])/34749000)+(-(53463358651678127/884978844750)+((169954100048 EulerGamma)/9823275)-((30332610032 Log[2])/1964655)+((1630044 Log[3])/49)) Log[y]+((42488525012 ((Log[y])^2))/9823275)-((98859104 Zeta[3])/2835))+(y^10) (-(1964481413350639/48898080000)+((58241403128 EulerGamma)/5457375)-((219136 (EulerGamma^2))/175)+((113134518813241 (π^2))/19818086400)-((6653357405 (π^4))/67108864)+((6396680456 Log[2])/5457375)-(876544/175) EulerGamma Log[2]-((876544 ((Log[2])^2))/175)+((6028101 Log[3])/1120)+((9765625 Log[5])/3168)+((29120701564/5457375)-((219136 EulerGamma)/175)-((438272 Log[2])/175)) Log[y]-((54784 ((Log[y])^2))/175)+((12288 Zeta[3])/5))+(y^11) (-(125723025691048615381/366148823040000)+((169740444817 EulerGamma)/4729725)+((39488 (EulerGamma^2))/315)+((385259238999617 (π^2))/15854469120)+((40341026981537 (π^4))/128849018880)+((12895333428521 Log[2])/165540375)+((36056192 EulerGamma Log[2])/3675)+((159488704 ((Log[2])^2))/11025)+((7181878122 Log[3])/111475)-(454896/49) EulerGamma Log[3]-(454896/49) Log[2] Log[3]-((227448 ((Log[3])^2))/49)-((460937500 Log[5])/11583)+((141087744 Log[6])/17875)+((170466930577/9459450)+((39488 EulerGamma)/315)+((18028096 Log[2])/3675)-((227448 Log[3])/49)) Log[y]+((9872 ((Log[y])^2))/315)+((84608 Zeta[3])/15))+(y^(31/2)) (((22009514064102963901282098495898331237 π)/8620797379193684518369536000000)-((83840515418574757567694 EulerGamma π)/111963344371003125)+((674951603104 (EulerGamma^2) π)/40516875)+((3153187507668059882 (π^3))/7456766191875)-((19873715648 EulerGamma (π^3))/385875)-((1280364352 (π^5))/165375)-((343304287588063111961138 π Log[2])/143952871334146875)-((435962654912 EulerGamma π Log[2])/3472875)+((45397696 (π^3) Log[2])/99225)-((8979249667168 π ((Log[2])^2))/40516875)-((2122714909893642552 π Log[3])/1228678676225)+((461264544 EulerGamma π Log[3])/2401)-(35481888/343) (π^3) Log[3]+((461264544 π Log[2] Log[3])/2401)+((230632272 π ((Log[3])^2))/2401)+((2754235234375000 π Log[5])/2131746903)+(-((41920257709287378783847 π)/111963344371003125)+((674951603104 EulerGamma π)/40516875)-((9936857824 (π^3))/385875)-((217981327456 π Log[2])/3472875)+((230632272 π Log[3])/2401)) Log[y]+((168737900776 π ((Log[y])^2))/40516875)-((19873715648 π Zeta[3])/128625))+(y^(29/2)) (-((9637041144752939728799097230831 π)/233718841613478289068000000)-((4846441673897531348153 EulerGamma π)/29528794119825000)+((40142209024 (EulerGamma^2) π)/1929375)+((9374390487730897 (π^3))/1966619655000)-((750321664 EulerGamma (π^3))/55125)-((7012352 (π^5))/7875)+((16831992759911954495957 π Log[2])/88586382359475000)+((160568836096 EulerGamma π Log[2])/1929375)-((1500643328 (π^3) Log[2])/55125)+((160568836096 π ((Log[2])^2))/1929375)-((17024692325983821 π Log[3])/154308154000)-((29176220703125 π Log[5])/291520944)+(-((4846441673897531348153 π)/59057588239650000)+((40142209024 EulerGamma π)/1929375)-((375160832 (π^3))/55125)+((80284418048 π Log[2])/1929375)) Log[y]+((10035552256 π ((Log[y])^2))/1929375)-((750321664 π Zeta[3])/18375))+(y^(33/2)) (((87891934850687569928212658151871163736353 π)/14144373681762362666534210304000000)+((59774140525770400100050531 EulerGamma π)/62388799647678504000)-((1472383886624419184 (EulerGamma^2) π)/5616211899375)+((425065236551941833430199 (π^3))/344221371453960000)+((495735415672928 EulerGamma (π^3))/4862521125)-((315588437792 (π^5))/21049875)-((36525627704011983712680271859297 π Log[2])/5535446248740275267400000)+((142784824700021648288 EulerGamma π Log[2])/117940449886875)-((121133445249468448 (π^3) Log[2])/102112943625)+((76019527185494103952 π ((Log[2])^2))/23588089977375)+((78350978025537236671515471 π Log[3])/5681410198864400000)-((3305729232 EulerGamma π Log[3])/2401)+(254286864/343) (π^3) Log[3]-((3305729232 π Log[2] Log[3])/2401)-((1652864616 π ((Log[3])^2))/2401)-((492704446114977470703125 π Log[5])/81144451297413504)-((42358546129606626367 π Log[7])/47733072440625)+(((57774176073258410829735523 π)/124777599295357008000)-((1472383886624419184 EulerGamma π)/5616211899375)+((247867707836464 (π^3))/4862521125)+((71392412350010824144 π Log[2])/117940449886875)-((1652864616 π Log[3])/2401)) Log[y]-((368095971656104796 π ((Log[y])^2))/5616211899375)+((495735415672928 π Zeta[3])/1620840375))+(y^15) (-(18422245917662946965713688497238514272871305051/1131032022735707096154168066048000000)+((195356603278656058756665560679851 EulerGamma)/22537174012728263588700000)+((27824356547133741211189 (EulerGamma^2))/96812260721426250)-((1307323995299008 (EulerGamma^3))/14587563375)+((1271505627196870617621895639332984239 (π^2))/2419231963056588277678080000)+((326830998824752 EulerGamma (π^2))/2917512675)+((632727847482480999735886759645493 (π^4))/19415082845428842391142400)+((96600643595949949145287 (π^6))/11821949021847552)+((47849384934497471 (π^8))/9895604649984)+((23991851361324447286645878839586053 Log[2])/631040872356391380483600000)-((2528027615481223322081309 EulerGamma Log[2])/338842912524991875)+((23495190959122112 (EulerGamma^2) Log[2])/34037647875)-((5873797739780528 (π^2) Log[2])/20422588725)-((12693821815837334753855293 ((Log[2])^2))/677685825049983750)+((121913594374637248 EulerGamma ((Log[2])^2))/34037647875)+((83625371578984384 ((Log[2])^3))/20422588725)-((45919835559509188340293117947 Log[3])/531430369370700800000)+((2903575106583115821 EulerGamma Log[3])/197554280000)-(254286864/343) (EulerGamma^2) Log[3]+(105952860/343) (π^2) Log[3]+((51416702942634990153 Log[2] Log[3])/2568205640000)-(508573728/343) EulerGamma Log[2] Log[3]-(254286864/343) ((Log[2])^2) Log[3]+((2903575106583115821 ((Log[3])^2))/395108560000)-(254286864/343) EulerGamma ((Log[3])^2)-(254286864/343) Log[2] ((Log[3])^2)-((84762288 ((Log[3])^3))/343)+((75097296400459024163587890625 Log[5])/1332067312498340081664)-((5359327017958984375 EulerGamma Log[5])/794739097152)-((5359327017958984375 Log[2] Log[5])/794739097152)-((5359327017958984375 ((Log[5])^2))/1589478194304)+((439852610132865166823002613 Log[7])/294210467465840640000)-((14180966230199741 EulerGamma Log[7])/14399116875)-((14180966230199741 Log[2] Log[7])/14399116875)-((14180966230199741 ((Log[7])^2))/28798233750)+((25596917755268555111989/387249042885705000)-((326830998824752 EulerGamma)/4862521125)+((5873797739780528 Log[2])/34037647875)-((63571716 Log[3])/343)) ((Log[y])^2)-((163415499412376 ((Log[y])^3))/14587563375)+((821662588800605947 Zeta[3])/189638323875)+((384897840256 EulerGamma Zeta[3])/1403325)-((39225871528064 Log[2] Zeta[3])/9823275)+(117363168/49) Log[3] Zeta[3]+Log[y] ((198076227935385570494604925311851/45074348025456527177400000)+((27316781481642589953589 EulerGamma)/96812260721426250)-((653661997649504 (EulerGamma^2))/4862521125)+((163415499412376 (π^2))/2917512675)-((2539376676711189532231709 Log[2])/677685825049983750)+((23495190959122112 EulerGamma Log[2])/34037647875)+((60956797187318624 ((Log[2])^2))/34037647875)+((2903575106583115821 Log[3])/395108560000)-(254286864/343) EulerGamma Log[3]-(254286864/343) Log[2] Log[3]-((127143432 ((Log[3])^2))/343)-((5359327017958984375 Log[5])/1589478194304)-((14180966230199741 Log[7])/28798233750)+((192448920128 Zeta[3])/1403325))-((341588608 Zeta[5])/405))+(y^14) ((14782927091165826490177755897290448751/17157712607860053220992000000)+((667577042987116745835126713 EulerGamma)/247982813018290350000)-((467801606965920698 (EulerGamma^2))/1065252313125)+((4226696704 (EulerGamma^3))/496125)-((475545050053701762012976804979 (π^2))/878442978597163499520000)-((1056674176 EulerGamma (π^2))/99225)-((10521866887485742964118830609 (π^4))/1276770494359535616000)-((5695388196662513281 (π^6))/103903848824832)+((78947326245948789380775445087 Log[2])/5207639073384097350000)-((63277612176600694372 EulerGamma Log[2])/22370298575625)-((6737700352 (EulerGamma^2) Log[2])/128625)+((1684425088 (π^2) Log[2])/77175)-((9125991752151527542 ((Log[2])^2))/2033663506875)-((48218332672 EulerGamma ((Log[2])^2))/231525)-((28666494464 ((Log[2])^3))/165375)+((596058807449014872782742513 Log[3])/81277585903754240000)-((11197365872877216 EulerGamma Log[3])/6137256125)+(35481888/343) (EulerGamma^2) Log[3]-(14784120/343) (π^2) Log[3]-((13290270496988832 Log[2] Log[3])/6137256125)+(70963776/343) EulerGamma Log[2] Log[3]+(35481888/343) ((Log[2])^2) Log[3]-((5598682936438608 ((Log[3])^2))/6137256125)+(35481888/343) EulerGamma ((Log[3])^2)+(35481888/343) Log[2] ((Log[3])^2)+((11827296 ((Log[3])^3))/343)-((1298204231280352501953125 Log[5])/103646694094175232)+((7126093750000 EulerGamma Log[5])/4969107)+((7126093750000 Log[2] Log[5])/4969107)+((3563046875000 ((Log[5])^2))/4969107)+((213966604377170305829 Log[7])/81497954304000)+(-(235234718516611549/2130504626250)+((1056674176 EulerGamma)/165375)-((1684425088 Log[2])/128625)+((8870472 Log[3])/343)) ((Log[y])^2)+((528337088 ((Log[y])^3))/496125)+Log[y] ((674213554413595385800585913/495965626036580700000)-((467801606965920698 EulerGamma)/1065252313125)+((2113348352 (EulerGamma^2))/165375)-((528337088 (π^2))/99225)-((31666818304007022386 Log[2])/22370298575625)-((6737700352 EulerGamma Log[2])/128625)-((24109166336 ((Log[2])^2))/231525)-((5598682936438608 Log[3])/6137256125)+(35481888/343) EulerGamma Log[3]+(35481888/343) Log[2] Log[3]+((17740944 ((Log[3])^2))/343)+((3563046875000 Log[5])/4969107)-((142810112 Zeta[3])/1575))+((100736677024996 Zeta[3])/70945875)-((285620224 EulerGamma Zeta[3])/1575)-((104290304 Log[2] Zeta[3])/3675)-(16376256/49) Log[3] Zeta[3]-((5848064 Zeta[5])/15))+(y^13) ((7136461453195733401088281131391999/74095385081177017958400000)-((687851821144842957070451 EulerGamma)/3011937000222150000)-((3262516308400408 (EulerGamma^2))/49165491375)+((375160832 (EulerGamma^3))/55125)+((135867325661033176542256997 (π^2))/234626863941550080000)-((93790208 EulerGamma (π^2))/11025)-((2398144603191276475096543 (π^4))/2216615441596416000)+((267833739495301 (π^6))/51539607552)-((11473878894172613656733927 Log[2])/3011937000222150000)+((14968695808903888 EulerGamma Log[2])/49165491375)+((750321664 (EulerGamma^2) Log[2])/18375)-((187580416 (π^2) Log[2])/11025)+((45668551753654888 ((Log[2])^2))/49165491375)+((1500643328 EulerGamma ((Log[2])^2))/18375)+((3001286656 ((Log[2])^3))/55125)+((54375724615556984499 Log[3])/41971817888000)-((1838920374351 EulerGamma Log[3])/15415400)-((1838920374351 Log[2] Log[3])/15415400)-((1838920374351 ((Log[3])^2))/30830800)+((7781157422615234375 Log[5])/11656173424896)-((37744140625 EulerGamma Log[5])/339768)-((37744140625 Log[2] Log[5])/339768)-((37744140625 ((Log[5])^2))/679536)-((3367765112736913 Log[7])/9451728000)+(-(815629077100102/49165491375)+((93790208 EulerGamma)/18375)+((187580416 Log[2])/18375)) ((Log[y])^2)+((46895104 ((Log[y])^3))/55125)+Log[y] (-(672169095461400539470451/6023874000444300000)-((3262516308400408 EulerGamma)/49165491375)+((187580416 (EulerGamma^2))/18375)-((46895104 (π^2))/11025)+((7484347904451944 Log[2])/49165491375)+((750321664 EulerGamma Log[2])/18375)+((750321664 ((Log[2])^2))/18375)-((1838920374351 Log[3])/30830800)-((37744140625 Log[5])/679536)-((3506176 Zeta[3])/175))-((2741094064 Zeta[3])/5457375)-(7012352/175) EulerGamma Zeta[3]-(14024704/175) Log[2] Zeta[3]-((196608 Zeta[5])/5))+(y^(35/2)) (-((359254770049691116751954046936077304492795497387681 π)/19336788661988668364880489132738508800000000)+((49508104643868036506314035108250693583 EulerGamma π)/8587122389431209188219655000000)+((5488671167486450994349283 (EulerGamma^2) π)/6717800662260187500)-((68723461849088 (EulerGamma^3) π)/607753125)-((99539428847588292362409844712843 (π^3))/19476570134456524089000000)+((21108975760802700377 EulerGamma (π^3))/39059251481250)+((642275344384 (EulerGamma^2) (π^3))/5788125)+((12238851933377273 (π^5))/117060693750)+((12005146624 EulerGamma (π^5))/826875)+((224395264 (π^7))/165375)+((4307445237425105813238576042851817602911 π Log[2])/44743427187036300507039255000000)-((11694376039218119635426014373 EulerGamma π Log[2])/997593398345637843750)-((137446923698176 (EulerGamma^2) π Log[2])/202584375)+((965453896071058185107 (π^3) Log[2])/78441306693750)+((2569101377536 EulerGamma (π^3) Log[2])/5788125)+((24010293248 (π^5) Log[2])/826875)-((56165042115664670380627014821 π ((Log[2])^2))/1995186796691275687500)-((274893847396352 EulerGamma π ((Log[2])^2))/202584375)+((2569101377536 (π^3) ((Log[2])^2))/5788125)-((549787694792704 π ((Log[2])^3))/607753125)-((2262386646941940844203810258652887 π Log[3])/54845499036147684264400000)+((473355432521782092693 EulerGamma π Log[3])/193078077692500)-((51074076977951463 (π^3) Log[3])/38577038500)+((473355432521782092693 π Log[2] Log[3])/193078077692500)+((473355432521782092693 π ((Log[3])^2))/386156155385000)-((16384342507953358046298828125 π Log[5])/723294590714711503488)+((112766093017578125 EulerGamma π Log[5])/31265621244)-((729405517578125 (π^3) Log[5])/218640708)+((112766093017578125 π Log[2] Log[5])/31265621244)+((112766093017578125 π ((Log[5])^2))/62531242488)+((210334386416999532270079 π Log[7])/12983395703850000)+(((5488671167486450994349283 π)/26871202649040750000)-((17180865462272 EulerGamma π)/202584375)+((160568836096 (π^3))/5788125)-((34361730924544 π Log[2])/202584375)) ((Log[y])^2)-((8590432731136 π ((Log[y])^3))/607753125)+((62378100661088932009 π Zeta[3])/54682952073750)+((1284550688768 EulerGamma π Zeta[3])/1929375)-((12005146624 (π^3) Zeta[3])/55125)+((2569101377536 π Log[2] Zeta[3])/1929375)+Log[y] (((49177746051770631460425624294974533583 π)/17174244778862418376439310000000)+((5488671167486450994349283 EulerGamma π)/6717800662260187500)-((34361730924544 (EulerGamma^2) π)/202584375)+((21108975760802700377 (π^3))/78118502962500)+((642275344384 EulerGamma (π^3))/5788125)+((6002573312 (π^5))/826875)-((11694376039218119635426014373 π Log[2])/1995186796691275687500)-((137446923698176 EulerGamma π Log[2])/202584375)+((1284550688768 (π^3) Log[2])/5788125)-((137446923698176 π ((Log[2])^2))/202584375)+((473355432521782092693 π Log[3])/386156155385000)+((112766093017578125 π Log[5])/62531242488)+((642275344384 π Zeta[3])/1929375))+((12005146624 π Zeta[5])/18375))+(y^(37/2)) (-((88806622538683040251737300356047425626275308771450477787 π)/1053149189292219839490668519880903774028800000000)-((161761838988594081283221384505401758944655407 EulerGamma π)/6271429659824339233948785348288000000)+((3540796649782546321715837236 (EulerGamma^2) π)/432290472616443065625)-((399803461385344 (EulerGamma^3) π)/1418090625)-((25545821869936338918140283496823226479 (π^3))/1293119606879052677755430400000)-((6623801066237814429012872 EulerGamma (π^3))/1007670099339028125)+((88624428211328 (EulerGamma^2) (π^3))/121550625)-((50408377202528770328 (π^5))/335554478634375)+((3348719051008 EulerGamma (π^5))/17364375)+((38220064256 (π^7))/1157625)-((30031571275261306494461743685114211309895019201 π Log[2])/94071444897365088509231780224320000000)+((493949113548071198541182723608 EulerGamma π Log[2])/6484357089246645984375)+((5733299117301376 (EulerGamma^2) π Log[2])/12762815625)-((36894945804405057047340472 (π^3) Log[2])/604602059603416875)+((222812128619264 EulerGamma (π^3) Log[2])/364651875)+((7158919389952 (π^5) Log[2])/52093125)+((10723686737627963553996889916 π ((Log[2])^2))/84212429730475921875)+((12929761422237568 EulerGamma π ((Log[2])^2))/4254271875)-((812873976704 (π^3) ((Log[2])^2))/1500625)+((20980250913107072 π ((Log[2])^3))/7657689375)-((4321867391344875651798420608094430983909 π Log[3])/21241442394703853524865062400000)+((201473644600594667378736 EulerGamma π Log[3])/4392526267504375)-((35978634432 (EulerGamma^2) π Log[3])/16807)-((194152422161964435696 (π^3) Log[3])/6143393381125)+((5535174528 EulerGamma (π^3) Log[3])/2401)+((425782656 (π^5) Log[3])/1715)+((19978909980507547548912 π Log[2] Log[3])/337886635961875)-((71957268864 EulerGamma π Log[2] Log[3])/16807)+((5535174528 (π^3) Log[2] Log[3])/2401)-((35978634432 π ((Log[2])^2) Log[3])/16807)+((100736822300297333689368 π ((Log[3])^2))/4392526267504375)-((35978634432 EulerGamma π ((Log[3])^2))/16807)+((2767587264 (π^3) ((Log[3])^2))/2401)-((35978634432 π Log[2] ((Log[3])^2))/16807)-((11992878144 π ((Log[3])^3))/16807)+((3601015441489202392163104422822265625 π Log[5])/8604259522996863980722051584)-((42580476723437500000 EulerGamma π Log[5])/914519421387)+((275423523437500000 (π^3) Log[5])/6395240709)-((42580476723437500000 π Log[2] Log[5])/914519421387)-((21290238361718750000 π ((Log[5])^2))/914519421387)-((1909623677424862990154705473394377 π Log[7])/16003912707881067340800000)+(((885199162445636580428959309 π)/432290472616443065625)-((99950865346336 EulerGamma π)/472696875)+((22156107052832 (π^3))/121550625)+((1433324779325344 π Log[2])/12762815625)-((8994658608 π Log[3])/16807)) ((Log[y])^2)-((49975432673168 π ((Log[y])^3))/1418090625)-((7026266522918011144207976 π Zeta[3])/335890033113009375)+((177248856422656 EulerGamma π Zeta[3])/40516875)-((3348719051008 (π^3) Zeta[3])/1157625)+((222812128619264 π Log[2] Zeta[3])/121550625)+((16605523584 π Log[3] Zeta[3])/2401)+Log[y] (-((162058246370704673374283422121169800367503407 π)/12542859319648678467897570696576000000)+((3540796649782546321715837236 EulerGamma π)/432290472616443065625)-((199901730692672 (EulerGamma^2) π)/472696875)-((3311900533118907214506436 (π^3))/1007670099339028125)+((88624428211328 EulerGamma (π^3))/121550625)+((1674359525504 (π^5))/17364375)+((246974556774035599270591361804 π Log[2])/6484357089246645984375)+((5733299117301376 EulerGamma π Log[2])/12762815625)+((111406064309632 (π^3) Log[2])/364651875)+((6464880711118784 π ((Log[2])^2))/4254271875)+((100736822300297333689368 π Log[3])/4392526267504375)-((35978634432 EulerGamma π Log[3])/16807)+((2767587264 (π^3) Log[3])/2401)-((35978634432 π Log[2] Log[3])/16807)-((17989317216 π ((Log[3])^2))/16807)-((21290238361718750000 π Log[5])/914519421387)+((88624428211328 π Zeta[3])/40516875))+((3348719051008 π Zeta[5])/385875))+(y^(39/2)) (((819454112280742078279738602372144960700313693196250834472213266393 π)/1248428762677603156571839467629404745880286207180800000000)-((215416662786931305419912955897965310874016112472232869 EulerGamma π)/753772193030145778698497567005562996160000000)+((4724734994690531768652558124848873143 (EulerGamma^2) π)/302775071190471206438611500000)+((75983277672359986940224 (EulerGamma^3) π)/81732731771604375)+((1409817829732665262882666089240929555945987789 (π^3))/6757474526461968763936718972736000000)-((237886760762423863591008633496361 EulerGamma (π^3))/4151584686555206450550000)+((25293488700917212096 (EulerGamma^2) (π^3))/23588089977375)-((9908730046933113338624321 (π^5))/1003979000074050000)+((99962515654571392 EulerGamma (π^5))/102112943625)+((37984189313792 (π^7))/123773265)-((54686135160540560842565701308197412865990031253665567 π Log[2])/46149317940621170124397810224830387520000000)+((89883494587418200533388731586680744997 EulerGamma π Log[2])/454162606785706809657917250000)-((1317487730892860172849344 (EulerGamma^2) π Log[2])/58380522694003125)-((173914252255387218706652818560493 (π^3) Log[2])/1779250579952231335950000)+((2003501469914838117248 EulerGamma (π^3) Log[2])/50545907094375)+((1423461883798350208 (π^5) Log[2])/218813450625)+((415601929927371382148423982345281883173 π ((Log[2])^2))/908325213571413619315834500000)-((40411387912789838966273344 EulerGamma π ((Log[2])^2))/408663658858021875)+((26939098413987880130624 (π^3) ((Log[2])^2))/353821349660625)-((134183277207476401663620416 π ((Log[2])^3))/1225990976574065625)+((14529073321650998913727728411172577119147277499 π Log[3])/4775607286389293868727787654080000000)-((7149021581965748521687912408401 EulerGamma π Log[3])/17264385241799195500000)+((257846880096 (EulerGamma^2) π Log[3])/16807)+((478219682802807921728933613 (π^3) Log[3])/1420352549716100000)-((39668750784 EulerGamma (π^3) Log[3])/2401)-((3051442368 (π^5) Log[3])/1715)-((10722734809233240554154561496401 π Log[2] Log[3])/17264385241799195500000)+((515693760192 EulerGamma π Log[2] Log[3])/16807)-((39668750784 (π^3) Log[2] Log[3])/2401)+((257846880096 π ((Log[2])^2) Log[3])/16807)-((7149021581965748521687912408401 π ((Log[3])^2))/34528770483598391000000)+((257846880096 EulerGamma π ((Log[3])^2))/16807)-((19834375392 (π^3) ((Log[3])^2))/2401)+((257846880096 π Log[2] ((Log[3])^2))/16807)+((85948960032 π ((Log[3])^3))/16807)-((626828957838316994929300130167341582431640625 π Log[5])/331487805634091457683665527989803008)+((226504690785648120019091796875 EulerGamma π Log[5])/1035626345796064198176)-((12317611152874436767578125 (π^3) Log[5])/60858338473060128)+((226504690785648120019091796875 π Log[2] Log[5])/1035626345796064198176)+((226504690785648120019091796875 π ((Log[5])^2))/2071252691592128396352)-((1848462594432336153632865091923725383 π Log[7])/24114986648466244652160000000)+((7085398728191559605660824 EulerGamma π Log[7])/158235135140671875)-((8302275041402898767932 (π^3) Log[7])/143199217321875)+((7085398728191559605660824 π Log[2] Log[7])/158235135140671875)+((3542699364095779802830412 π ((Log[7])^2))/158235135140671875)+(((5041239734716318549817898329472335543 π)/1211100284761884825754446000000)+((18995819418089996735056 EulerGamma π)/27244243923868125)+((6323372175229303024 (π^3))/23588089977375)-((329371932723215043212336 π Log[2])/58380522694003125)+((64461720024 π Log[3])/16807)) ((Log[y])^2)+((9497909709044998367528 π ((Log[y])^3))/81732731771604375)-((63580598699042178266294402382673 π Zeta[3])/377416789686836950050000)+((50586977401834424192 EulerGamma π Zeta[3])/7862696659125)-((99962515654571392 (π^3) Zeta[3])/6807529575)+((2003501469914838117248 π Log[2] Zeta[3])/16848635698125)-((119006252352 π Log[3] Zeta[3])/2401)+Log[y] (-((218396110730385585619950896155520584187047919317160869 π)/1507544386060291557396995134011125992320000000)+((4803861179696978463943893176004738743 EulerGamma π)/302775071190471206438611500000)+((37991638836179993470112 (EulerGamma^2) π)/27244243923868125)-((238596548146620368583043429835561 (π^3))/8303169373110412901100000)+((25293488700917212096 EulerGamma (π^3))/23588089977375)+((49981257827285696 (π^5))/102112943625)+((90595630252476220791010747047083535397 π Log[2])/908325213571413619315834500000)-((1317487730892860172849344 EulerGamma π Log[2])/58380522694003125)+((1001750734957419058624 (π^3) Log[2])/50545907094375)-((20205693956394919483136672 π ((Log[2])^2))/408663658858021875)-((7149021581965748521687912408401 π Log[3])/34528770483598391000000)+((257846880096 EulerGamma π Log[3])/16807)-((19834375392 (π^3) Log[3])/2401)+((257846880096 π Log[2] Log[3])/16807)+((128923440048 π ((Log[3])^2))/16807)+((226504690785648120019091796875 π Log[5])/2071252691592128396352)+((3542699364095779802830412 π Log[7])/158235135140671875)+((25293488700917212096 π Zeta[3])/7862696659125))+((99962515654571392 π Zeta[5])/2269176525))+(y^16) (-(13026478658727710577927281854705328236050851342042980169113/27966040784886568021277590891800598118400000000)-((729680795724860740550560950744752236815551 EulerGamma)/29329316521102294982364231652500000)+((102210804514999985947818466265017 (EulerGamma^2))/21911141401263589600125000)+((5454822800786993385184 (EulerGamma^3))/33219893384803125)-((160568836096 (EulerGamma^4))/5788125)+((307091635145603093170066919468955507329259133621 (π^2))/24091554748533434984474263683072000000)-((1363705700196748346296 EulerGamma (π^2))/6643978676960625)+((80284418048 (EulerGamma^2) (π^2))/1157625)+((225166586333794785425996439521698673845129 (π^4))/139306481149869976201968431923200)-((1500643328 EulerGamma (π^4))/275625)+((232009299416614395821036985019 (π^6))/1191652461402233241600)-((310469119057868816245 (π^8))/633318697598976)-((74077188529139716420063977973936092441924091 Log[2])/234634532168818359858913853220000000)+((1196831966560183155597660952878409 EulerGamma Log[2])/10955570700631794800062500)-((80455627712674284038432 (EulerGamma^2) Log[2])/11073297794934375)-((1284550688768 (EulerGamma^3) Log[2])/5788125)+((20113906928168571009608 (π^2) Log[2])/6643978676960625)+((321137672192 EulerGamma (π^2) Log[2])/1157625)-((3001286656 (π^4) Log[2])/275625)+((4886934567796328503752359587493993 ((Log[2])^2))/21911141401263589600125000)-((361354794203310296652064 EulerGamma ((Log[2])^2))/11073297794934375)-((1284550688768 (EulerGamma^2) ((Log[2])^2))/1929375)+((321137672192 (π^2) ((Log[2])^2))/1157625)-((1250387923575722695178528 ((Log[2])^3))/33219893384803125)-((5138202755072 EulerGamma ((Log[2])^3))/5788125)-((2569101377536 ((Log[2])^4))/5788125)+((251843181444215555713504458930802406349 Log[3])/645860596649675129897574400000)-((108871779552864693948738333 EulerGamma Log[3])/2423295370536040000)+((51074076977951463 (EulerGamma^2) Log[3])/38577038500)-((17024692325983821 (π^2) Log[3])/30861630800)-((186888631761912655019076381 Log[2] Log[3])/2423295370536040000)+((51074076977951463 EulerGamma Log[2] Log[3])/19288519250)+((51074076977951463 ((Log[2])^2) Log[3])/38577038500)-((108871779552864693948738333 ((Log[3])^2))/4846590741072080000)+((51074076977951463 EulerGamma ((Log[3])^2))/38577038500)+((51074076977951463 Log[2] ((Log[3])^2))/38577038500)+((17024692325983821 ((Log[3])^3))/38577038500)+((237498781393182053559971741587890625 Log[5])/3277114704323666315387486208)-((58101714295966806640625 EulerGamma Log[5])/2361346466326848)+((145881103515625 (EulerGamma^2) Log[5])/72880236)-((729405517578125 (π^2) Log[5])/874562832)-((58101714295966806640625 Log[2] Log[5])/2361346466326848)+((145881103515625 EulerGamma Log[2] Log[5])/36440118)+((145881103515625 ((Log[2])^2) Log[5])/72880236)-((58101714295966806640625 ((Log[5])^2))/4722692932653696)+((145881103515625 EulerGamma ((Log[5])^2))/72880236)+((145881103515625 Log[2] ((Log[5])^2))/72880236)+((145881103515625 ((Log[5])^3))/218640708)-((837575046821391287111607471769783 Log[7])/4601451711165747609600000)+((70416600742216113917 EulerGamma Log[7])/3916559790000)+((70416600742216113917 Log[2] Log[7])/3916559790000)+((70416600742216113917 ((Log[7])^2))/7833119580000)+((81402749386839761113321 Log[11])/142663615718400000)+((681852850098374173148/33219893384803125)-((80284418048 EulerGamma)/5788125)-((160568836096 Log[2])/5788125)) ((Log[y])^3)-((10035552256 ((Log[y])^4))/5788125)-((7944759382299453535018999 Zeta[3])/451790550033322500)+((507920648414031296 EulerGamma Zeta[3])/245827456875)+((6002573312 (EulerGamma^2) Zeta[3])/18375)-((1500643328 (π^2) Zeta[3])/11025)+((10143373859219897792 Log[2] Zeta[3])/245827456875)+((24010293248 EulerGamma Log[2] Zeta[3])/18375)+((24010293248 ((Log[2])^2) Zeta[3])/18375)-((16550283369159 Log[3] Zeta[3])/3853850)-((943603515625 Log[5] Zeta[3])/84942)-((56098816 ((Zeta[3])^2))/175)+((Log[y])^2) ((100458324548060138501597225945017/87644565605054358400500000)+((1363705700196748346296 EulerGamma)/11073297794934375)-((80284418048 (EulerGamma^2))/1929375)+((20071104512 (π^2))/1157625)-((20113906928168571009608 Log[2])/11073297794934375)-((321137672192 EulerGamma Log[2])/1929375)-((321137672192 ((Log[2])^2))/1929375)+((51074076977951463 Log[3])/154308154000)+((145881103515625 Log[5])/291520944)+((1500643328 Zeta[3])/18375))+((5369414216128 Zeta[5])/779625)+(112197632/175) EulerGamma Zeta[5]+(224395264/175) Log[2] Zeta[5]+Log[y] (-(714468872791858342014058834631123233875551/58658633042204589964728463305000000)+((102153750406921541419195695065017 EulerGamma)/21911141401263589600125000)+((2727411400393496692592 (EulerGamma^2))/11073297794934375)-((321137672192 (EulerGamma^3))/5788125)-((681852850098374173148 (π^2))/6643978676960625)+((80284418048 EulerGamma (π^2))/1157625)-((750321664 (π^4))/275625)+((1195897376108126637919684197678409 Log[2])/21911141401263589600125000)-((80455627712674284038432 EulerGamma Log[2])/11073297794934375)-((642275344384 (EulerGamma^2) Log[2])/1929375)+((160568836096 (π^2) Log[2])/1157625)-((180677397101655148326032 ((Log[2])^2))/11073297794934375)-((1284550688768 EulerGamma ((Log[2])^2))/1929375)-((2569101377536 ((Log[2])^3))/5788125)-((108871779552864693948738333 Log[3])/4846590741072080000)+((51074076977951463 EulerGamma Log[3])/38577038500)+((51074076977951463 Log[2] Log[3])/38577038500)+((51074076977951463 ((Log[3])^2))/77154077000)-((58101714295966806640625 Log[5])/4722692932653696)+((145881103515625 EulerGamma Log[5])/72880236)+((145881103515625 Log[2] Log[5])/72880236)+((145881103515625 ((Log[5])^2))/145760472)+((70416600742216113917 Log[7])/7833119580000)+((253960324207015648 Zeta[3])/245827456875)+((6002573312 EulerGamma Zeta[3])/18375)+((12005146624 Log[2] Zeta[3])/18375)+((56098816 Zeta[5])/175))+((3145728 Zeta[7])/5))+(y^17) (-(93268041565920977086195615102288129615916133421895446989473929/18420298863645286136681506534065993960652800000000)-((752679671073092098580344088098367862735572728141 EulerGamma)/6490929697918191107136992835478080000000)-((897472270138371122482265426107725337 (EulerGamma^2))/75768726965569492837232250000)+((9279601790497496002395064 (EulerGamma^3))/3023010298017084375)-((6288868431616 (EulerGamma^4))/72930375)+((489670722445328948046759843833226243731276236387488613 (π^2))/3998812623380573672462976183171022848000000)-((2319900447624374000598766 EulerGamma (π^2))/604602059603416875)+((3144434215808 (EulerGamma^2) (π^2))/14586075)+((22145595456005021448130343268507716770380643173541 (π^4))/1216981419325264112100396221281075200000)-((143383862528 EulerGamma (π^4))/3472875)+((19751486787203057553685580705310913 (π^6))/9609485448747608860262400)+((6829929068180307901129069 (π^8))/607985949695016960)-((405588265968413157765552026565899678757057483869 Log[2])/1298185939583638221427398567095616000000)-((521412829332943995423087833285163217 EulerGamma Log[2])/1515374539311389856744645000)+((43801848868760742010199224 (EulerGamma^2) Log[2])/1007670099339028125)+((9563283897344 (EulerGamma^3) Log[2])/121550625)-((10954576920350452740007726 (π^2) Log[2])/604602059603416875)-((2390820974336 EulerGamma (π^2) Log[2])/24310125)-((118671530752 (π^4) Log[2])/5788125)-((41594092984036552195684819527147253001 ((Log[2])^2))/75768726965569492837232250000)+((145616091942501040486735544 EulerGamma ((Log[2])^2))/1007670099339028125)+((168812146170368 (EulerGamma^2) ((Log[2])^2))/121550625)-((42203036542592 (π^2) ((Log[2])^2))/72930375)+((3129818962234431642770888 ((Log[2])^3))/21139932153965625)+((3932070673408 EulerGamma ((Log[2])^3))/1500625)+((109561546811648 ((Log[2])^4))/72930375)+((2412770653541724546634393530490120611123507 Log[3])/9771063501563772621437928704000000)-((278552608873356186898744577644791 EulerGamma Log[3])/1313945645357976606976000)+((149991379389513345312 (EulerGamma^2) Log[3])/6143393381125)-((1845058176 (EulerGamma^3) Log[3])/2401)-((12499281615792778776 (π^2) Log[3])/1228678676225)+((2306322720 EulerGamma (π^2) Log[3])/2401)-((106445664 (π^4) Log[3])/1715)-((1807064805588323193026316058606803 Log[2] Log[3])/6569728226789883034880000)+((390496697962605859392 EulerGamma Log[2] Log[3])/6143393381125)-((5535174528 (EulerGamma^2) Log[2] Log[3])/2401)+((2306322720 (π^2) Log[2] Log[3])/2401)+((285762288164882098464 ((Log[2])^2) Log[3])/6143393381125)-((5535174528 EulerGamma ((Log[2])^2) Log[3])/2401)-((1845058176 ((Log[2])^3) Log[3])/2401)-((148682839131331578093422949415623 ((Log[3])^2))/1313945645357976606976000)+((149991379389513345312 EulerGamma ((Log[3])^2))/6143393381125)-((2767587264 (EulerGamma^2) ((Log[3])^2))/2401)+((1153161360 (π^2) ((Log[3])^2))/2401)+((195248348981302929696 Log[2] ((Log[3])^2))/6143393381125)-((5535174528 EulerGamma Log[2] ((Log[3])^2))/2401)-((2767587264 ((Log[2])^2) ((Log[3])^2))/2401)+((49997126463171115104 ((Log[3])^3))/6143393381125)-((1845058176 EulerGamma ((Log[3])^3))/2401)-((1845058176 Log[2] ((Log[3])^3))/2401)-((461264544 ((Log[3])^4))/2401)-((422604174415520462055676578713359091796875 Log[5])/215312990303473524253588618838016)+((1918447761502950803074873046875 EulerGamma Log[5])/4188920009326377316992)-((55084704687500000 (EulerGamma^2) Log[5])/2131746903)+((68855880859375000 (π^2) Log[5])/6395240709)+((1918447761502950803074873046875 Log[2] Log[5])/4188920009326377316992)-((110169409375000000 EulerGamma Log[2] Log[5])/2131746903)-((55084704687500000 ((Log[2])^2) Log[5])/2131746903)+((1918447761502950803074873046875 ((Log[5])^2))/8377840018652754633984)-((55084704687500000 EulerGamma ((Log[5])^2))/2131746903)-((55084704687500000 Log[2] ((Log[5])^2))/2131746903)-((55084704687500000 ((Log[5])^3))/6395240709)+((25466535061567400251389958882604227997 Log[7])/17995510733750711276544000000)-((5609007152616068258743949389 EulerGamma Log[7])/42348476377658880000)-((5609007152616068258743949389 Log[2] Log[7])/42348476377658880000)-((5609007152616068258743949389 ((Log[7])^2))/84696952755317760000)-((104735737461085739912439283 Log[11])/6419862707328000000)+((1170236981712855093944183/3023010298017084375)-((3144434215808 EulerGamma)/72930375)+((1195410487168 Log[2])/121550625)-((230632272 Log[3])/2401)) ((Log[y])^3)-((393054276976 ((Log[y])^4))/72930375)-((3526989453717759249077386043 Zeta[3])/54625584685847175000)-((18204609695100657328 EulerGamma Zeta[3])/828529576875)+((573535450112 (EulerGamma^2) Zeta[3])/231525)-((143383862528 (π^2) Zeta[3])/138915)-((413063802439655561648 Log[2] Zeta[3])/2033663506875)+((949372246016 EulerGamma Log[2] Zeta[3])/385875)-((1463179394048 ((Log[2])^2) Zeta[3])/1157625)-((645645568483082304 Log[3] Zeta[3])/6137256125)+(2554695936/343) EulerGamma Log[3] Zeta[3]+(2554695936/343) Log[2] Log[3] Zeta[3]+(1277347968/343) ((Log[3])^2) Zeta[3]+((712609375000000 Log[5] Zeta[3])/4969107)-((2113375232 ((Zeta[3])^2))/441)+((Log[y])^2) (-(930769370000687727600578870224307737/303074907862277971348929000000)+((2319900447624374000598766 EulerGamma)/1007670099339028125)-((3144434215808 (EulerGamma^2))/24310125)+((786108553952 (π^2))/14586075)+((10960748975090853596194606 Log[2])/1007670099339028125)+((2390820974336 EulerGamma Log[2])/40516875)+((42203036542592 ((Log[2])^2))/121550625)+((37497844847378336328 Log[3])/6143393381125)-((1383793632 EulerGamma Log[3])/2401)-((1383793632 Log[2] Log[3])/2401)-((691896816 ((Log[3])^2))/2401)-((13771176171875000 Log[5])/2131746903)+((143383862528 Zeta[3])/231525))+((120827023873648 Zeta[5])/33108075)+(4226750464/441) EulerGamma Zeta[5]+((8742803456 Log[2] Zeta[5])/1225)+(589545216/49) Log[3] Zeta[5]+Log[y] (-(740189335562214642236630867622383491714131064141/12981859395836382214273985670956160000000)-((899108136228480479497072146650445337 EulerGamma)/75768726965569492837232250000)+((4639800895248748001197532 (EulerGamma^2))/1007670099339028125)-((12577736863232 (EulerGamma^3))/72930375)-((1164064926972454237757303 (π^2))/604602059603416875)+((3144434215808 EulerGamma (π^2))/14586075)-((71691931264 (π^4))/3472875)-((104428968486989956569670962580018013 Log[2])/606149815724555942697858000)+((43801848868760742010199224 EulerGamma Log[2])/1007670099339028125)+((4781641948672 (EulerGamma^2) Log[2])/40516875)-((1195410487168 (π^2) Log[2])/24310125)+((72818332729151188337012572 ((Log[2])^2))/1007670099339028125)+((168812146170368 EulerGamma ((Log[2])^2))/121550625)+((1966035336704 ((Log[2])^3))/1500625)-((278552608873356186898744577644791 Log[3])/2627891290715953213952000)+((149991379389513345312 EulerGamma Log[3])/6143393381125)-((2767587264 (EulerGamma^2) Log[3])/2401)+((1153161360 (π^2) Log[3])/2401)+((195248348981302929696 Log[2] Log[3])/6143393381125)-((5535174528 EulerGamma Log[2] Log[3])/2401)-((2767587264 ((Log[2])^2) Log[3])/2401)+((74995689694756672656 ((Log[3])^2))/6143393381125)-((2767587264 EulerGamma ((Log[3])^2))/2401)-((2767587264 Log[2] ((Log[3])^2))/2401)-((922529088 ((Log[3])^3))/2401)+((1918447761502950803074873046875 Log[5])/8377840018652754633984)-((55084704687500000 EulerGamma Log[5])/2131746903)-((55084704687500000 Log[2] Log[5])/2131746903)-((27542352343750000 ((Log[5])^2))/2131746903)-((5609007152616068258743949389 Log[7])/84696952755317760000)-((9135504510610091864 Zeta[3])/828529576875)+((573535450112 EulerGamma Zeta[3])/231525)+((474686123008 Log[2] Zeta[3])/385875)+(1277347968/343) Log[3] Zeta[3]+((2113375232 Zeta[5])/441))+((1788594176 Zeta[7])/105))+(y^18) (((2630610817113324655124233120381115936330938523633434011892873152848011)/73798744591779496940207259170211117983071105843200000000)+((1677790957407214844124441787899591347234049221200450183 EulerGamma)/2261316579090437336095492701016688988480000000)-((3630102236179751971454237755891169501030501 (EulerGamma^2))/21117107895193652387302246789800000)+((1891814237500702978064571139096 (EulerGamma^3))/259474042909700403159375)+((77898908678903170112 (EulerGamma^4))/353821349660625)+((3571725019280379366591712495048218618809376193977119336370347 (π^2))/4457953089747032437076237138141773154589081600000)-((475911006809327848649621102854 EulerGamma (π^2))/51894808581940080631875)-((38949454339451585056 (EulerGamma^2) (π^2))/70764269932125)-((63194647841281812413726249184487821386857413858577825349 (π^4))/393250507915088544127673633359881515827200000)-((35979283966250048 EulerGamma (π^4))/510564718125)-((3890650903021473050002443915742043603143 (π^6))/273985649114691823823801548800)-((3493365305621119536792414044813 (π^8))/2334666046828865126400)-((3357662305422729291001 (π^10))/6333186975989760)+((27437516854237211895237387364920405386353686616369377361 Log[2])/2261316579090437336095492701016688988480000000)-((67855852004068406673106097568415628261760997 EulerGamma Log[2])/52792769737984130968255616974500000)+((1882667762284447591171220188088 (EulerGamma^2) Log[2])/17298269527313360210625)-((598137671803552883456 (EulerGamma^3) Log[2])/70764269932125)-((472490012171634287207451712238 (π^2) Log[2])/10378961716388016126375)+((149534417950888220864 EulerGamma (π^2) Log[2])/14152853986425)-((112814189285625664 (π^4) Log[2])/102112943625)-((37546755375867680912143597845254127755636311 ((Log[2])^2))/9598685406906205630591930359000000)+((3849055815195470347312245824968 EulerGamma ((Log[2])^2))/7862849785142436459375)-((587537507588150761088 (EulerGamma^2) ((Log[2])^2))/10721859080625)+((146884376897037690272 (π^2) ((Log[2])^2))/6433115448375)+((12449419218577771720250810528248 ((Log[2])^3))/19959541762284646396875)-((42787805244146815790848 EulerGamma ((Log[2])^3))/353821349660625)-((33121721195663749266368 ((Log[2])^4))/353821349660625)-((19421746501752096409892133199476227955436038178299 Log[3])/1222555465315659230394313639444480000000)+((210743793073648290631467862366151834439 EulerGamma Log[3])/64219093416871106665952000000)-((28792164504057190012618983 (EulerGamma^2) Log[3])/129122959065100000)+((13222916928 (EulerGamma^3) Log[3])/2401)+((9597388168019063337539661 (π^2) Log[3])/103298367252080000)-((16528646160 EulerGamma (π^2) Log[3])/2401)+((762860592 (π^4) Log[3])/1715)+((353410727854435532636435673293195377479 Log[2] Log[3])/64219093416871106665952000000)-((480035560480663850387333613 EulerGamma Log[2] Log[3])/710176274858050000)+((39668750784 (EulerGamma^2) Log[2] Log[3])/2401)-((16528646160 (π^2) Log[2] Log[3])/2401)-((806679062352733370884383213 ((Log[2])^2) Log[3])/1420352549716100000)+((39668750784 EulerGamma ((Log[2])^2) Log[3])/2401)+((13222916928 ((Log[2])^3) Log[3])/2401)+((29039192503433708118282733687887010833 ((Log[3])^2))/16054773354217776666488000000)-((28792164504057190012618983 EulerGamma ((Log[3])^2))/129122959065100000)+((19834375392 (EulerGamma^2) ((Log[3])^2))/2401)-((8264323080 (π^2) ((Log[3])^2))/2401)-((480035560480663850387333613 Log[2] ((Log[3])^2))/1420352549716100000)+((39668750784 EulerGamma Log[2] ((Log[3])^2))/2401)+((19834375392 ((Log[2])^2) ((Log[3])^2))/2401)-((9597388168019063337539661 ((Log[3])^3))/129122959065100000)+((13222916928 EulerGamma ((Log[3])^3))/2401)+((13222916928 Log[2] ((Log[3])^3))/2401)+((3305729232 ((Log[3])^4))/2401)+((2121978483715269141626556102381417980251978515625 Log[5])/254582634726982239501055125496168710144)-((15377026154087036293829724195419921875 EulerGamma Log[5])/7429367994461038976361403392)+((2463522230574887353515625 (EulerGamma^2) Log[5])/20286112824353376)-((12317611152874436767578125 (π^2) Log[5])/243433353892240512)-((15513086175944041253829724195419921875 Log[2] Log[5])/7429367994461038976361403392)+((2463522230574887353515625 EulerGamma Log[2] Log[5])/10143056412176688)+((2463522230574887353515625 ((Log[2])^2) Log[5])/20286112824353376)-((15377026154087036293829724195419921875 ((Log[5])^2))/14858735988922077952722806784)+((2463522230574887353515625 EulerGamma ((Log[5])^2))/20286112824353376)+((2463522230574887353515625 Log[2] 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((Log[3])^2))/337886635961875)+((107935903296 EulerGamma ((Log[3])^2))/16807)+((107935903296 Log[2] ((Log[3])^2))/16807)+((35978634432 ((Log[3])^3))/16807)-((18005077207446011960815522114111328125 Log[5])/8604259522996863980722051584)+((212902383617187500000 EulerGamma Log[5])/914519421387)+((212902383617187500000 Log[2] Log[5])/914519421387)+((106451191808593750000 ((Log[5])^2))/914519421387)+((13367365741974040931082938313760639 Log[7])/16003912707881067340800000)+((2171570288618777241914248 Zeta[3])/143952871334146875)-((272017341642752 EulerGamma Zeta[3])/17364375)-((15879660619776 Log[2] Zeta[3])/1500625)-((49816570752 Log[3] Zeta[3])/2401)-((4717887963136 Zeta[5])/165375))+((4318112671655313005297452558673 Zeta[5])/464967774409294406250)-((13858489297871537216 EulerGamma Zeta[5])/14203364175)-((18871551852544 (EulerGamma^2) Zeta[5])/165375)+((4717887963136 (π^2) Zeta[5])/99225)+((338838043686555054979648 Log[2] Zeta[5])/22370298575625)-((72668640575488 EulerGamma Log[2] 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Log[5])/2743558264161)-((18005077207446011960815522114111328125 Log[2] Log[5])/2151064880749215995180512896)+((851609534468750000000 EulerGamma Log[2] Log[5])/914519421387)+((425804767234375000000 ((Log[2])^2) Log[5])/914519421387)-((18005077207446011960815522114111328125 ((Log[5])^2))/4302129761498431990361025792)+((425804767234375000000 EulerGamma ((Log[5])^2))/914519421387)+((425804767234375000000 Log[2] ((Log[5])^2))/914519421387)+((425804767234375000000 ((Log[5])^3))/2743558264161)-((12668443353524076217310100941033369178151054429 Log[7])/351935369127022094698344952320000000)+((13367365741974040931082938313760639 EulerGamma Log[7])/4000978176970266835200000)+((13367365741974040931082938313760639 Log[2] Log[7])/4000978176970266835200000)+((13367365741974040931082938313760639 ((Log[7])^2))/8001956353940533670400000)+((1010385659287094132935301763101 Log[11])/1550396843819712000000)+((618509962670682615749685685423697599 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Log[3])/1209152668287266828125)+((78559954251274491178773953508573722679551595092805360227083863 π ((Log[3])^2))/166001538953207416825870783739506151778248576000000)-((108616508976928577350150605900200129579411781147 EulerGamma π ((Log[3])^2))/3583391089410128248359737747367250000)+((366721583275535925155053624677 (EulerGamma^2) π ((Log[3])^2))/1209152668287266828125)+((70290376963217558036568752067718915909959 (π^3) ((Log[3])^2))/2216601410608047214927325150000)-((79029407913791185145207214 EulerGamma (π^3) ((Log[3])^2))/241588944712740625)-((8520397785392077668474 (π^5) ((Log[3])^2))/241347597115625)-((1027288518315945240200935042304800603317483867783 π Log[2] ((Log[3])^2))/17916955447050641241798688736836250000)+((733443166551071850310107249354 EulerGamma π Log[2] ((Log[3])^2))/1209152668287266828125)-((79029407913791185145207214 (π^3) Log[2] ((Log[3])^2))/241588944712740625)+((366721583275535925155053624677 π ((Log[2])^2) 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((Log[5])^2))/1176986495325069)-((31857842255594093824502974323170977203589 Log[7])/4536028988576500619071296000000)+((3330326740812374571800274902288 Zeta[3])/19453071267739937953125)+((69194503885858816 EulerGamma Zeta[3])/1093955625)+((630970624538159104 Log[2] Zeta[3])/12762815625)+((1295230839552 Log[3] Zeta[3])/16807)+((1155784337266688 Zeta[5])/10418625))+((943055158873786760538245158708 Zeta[7])/845395953471444375)+((65710447862000908385024 EulerGamma Zeta[7])/1065252313125)+((149073072177152 (EulerGamma^2) Zeta[7])/33075)-((37268268044288 (π^2) Zeta[7])/19845)-((4931513022862132989611776 Log[2] Zeta[7])/3195756939375)+((359110451298304 EulerGamma Log[2] Zeta[7])/42875)+((4108858225180672 ((Log[2])^2) Zeta[7])/1157625)-((6621694313343519744 Log[3] Zeta[7])/6131125)+(3310885933056/343) EulerGamma Log[3] Zeta[7]+(3310885933056/343) Log[2] Log[3] Zeta[7]+(1655442966528/343) ((Log[3])^2) Zeta[7]+((7126093750000000000 Log[5] Zeta[7])/4969107)-(4714390716416/315) Zeta[3] Zeta[7]+((Log[y])^2) (-((40553880152515979512981403325024228011840992587188525611529165285462316929752346899)/(2995627586069637577715260433253963144225873880045463777007475200000000000))-((4614167572623871519459382752691701668641866488538032487236484567519 EulerGamma)/259598855385715230732459210419301397690287154140000000000)+((812303656605714928606446252774826054068065048659933 (EulerGamma^2))/286417922719332748962716017610083361718750)+((39911616508264078080699042937135376 (EulerGamma^3))/876263595255345505098515625)-((137963378667067904 (EulerGamma^4))/16409334375)-((806001720772851109342384128407698728757474991228893 (π^2))/687403014526398597510518442264200068125000)-((9977904127066019520174760734283844 EulerGamma (π^2))/175252719051069101019703125)+((68981689333533952 (EulerGamma^2) (π^2))/3281866875)-((1156282209272343932509544203172 (π^4))/97265356338699689765625)-((17298625971464704 EulerGamma (π^4))/5469778125)-((577892168633344 (π^6))/656373375)-((197902542662985257418222291717164256485080681504427390404423361716037 Log[2])/363438397540001323025442894587021956766402015796000000000)+((12549051507888375728167709850246260394657313189118923 EulerGamma Log[2])/1002462729517664621369506061635291766015625)+((10336017409764563752599448238277773168 (EulerGamma^2) Log[2])/2044615055595806178563203125)-((8734696057548261376 (EulerGamma^3) Log[2])/446698546875)-((2585114116408035694577167209456071132 (π^2) Log[2])/1226769033357483707137921875)+((2183674014387065344 EulerGamma (π^2) Log[2])/89339709375)-((157742656134539776 (π^4) Log[2])/63814078125)+((118371478623254235595425685276847975537948591439717707 ((Log[2])^2))/2004925459035329242739012123270583532031250)+((7486971749117789871559257595146089648 EulerGamma ((Log[2])^2))/408923011119161235712640625)+((17285714316825017344 (EulerGamma^2) ((Log[2])^2))/1340095640625)-((4321428579206254336 (π^2) ((Log[2])^2))/804057384375)+((1462234068433608091410927531316927792 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Log[5])/6650611176067953173193224535889464)-((1645735425360859375000000 (EulerGamma^2) Log[5])/392328831775023)+((2057169281701074218750000 (π^2) Log[5])/1176986495325069)+((508561427412034670291429475654563402099609375 Log[2] Log[5])/6650611176067953173193224535889464)-((3291470850721718750000000 EulerGamma Log[2] Log[5])/392328831775023)-((1645735425360859375000000 ((Log[2])^2) Log[5])/392328831775023)+((508561427412034670291429475654563402099609375 ((Log[5])^2))/13301222352135906346386449071778928)-((1645735425360859375000000 EulerGamma ((Log[5])^2))/392328831775023)-((1645735425360859375000000 Log[2] ((Log[5])^2))/392328831775023)-((1645735425360859375000000 ((Log[5])^3))/1176986495325069)+((7701893193807086982373412632590746950739609772987427427 Log[7])/16824486761369304355642619927803276800000000)-((31857842255594093824502974323170977203589 EulerGamma Log[7])/756004831429416769845216000000)-((31857842255594093824502974323170977203589 Log[2] 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Log[5])/4315617149525253)-((70452864145379041406133168426759047613940208677644217619059081688760785693359375 ((Log[5])^2))/(18493454841103224872023004073185489645826151437516117313065731948544))-((320800817735296260460289252856998940554332676200208740234375 EulerGamma ((Log[5])^2))/758066800110259959659356349570843298020916876288)+((54164573854018689182849830956795654296875 (EulerGamma^2) ((Log[5])^2))/353447566912329937270884965304)-((33690505397350219726562500 (EulerGamma^3) ((Log[5])^2))/4315617149525253)-((270822869270093445914249154783978271484375 (π^2) ((Log[5])^2))/4241370802947959247250619583648)+((42113131746687774658203125 EulerGamma (π^2) ((Log[5])^2))/4315617149525253)-((10896023737823486328125 (π^4) ((Log[5])^2))/10059713635257)+((462094032493458005358351034874404968212201971399373779296875 Log[2] ((Log[5])^2))/2274200400330779878978069048712529894062750628864)+((54164573854018689182849830956795654296875 EulerGamma Log[2] ((Log[5])^2))/176723783456164968635442482652)-((33690505397350219726562500 (EulerGamma^2) Log[2] ((Log[5])^2))/1438539049841751)+((42113131746687774658203125 (π^2) Log[2] ((Log[5])^2))/4315617149525253)+((54164573854018689182849830956795654296875 ((Log[2])^2) ((Log[5])^2))/353447566912329937270884965304)-((33690505397350219726562500 EulerGamma ((Log[2])^2) ((Log[5])^2))/1438539049841751)-((33690505397350219726562500 ((Log[2])^3) ((Log[5])^2))/4315617149525253)-((320800817735296260460289252856998940554332676200208740234375 ((Log[5])^3))/2274200400330779878978069048712529894062750628864)+((54164573854018689182849830956795654296875 EulerGamma ((Log[5])^3))/530171350368494905906327447956)-((33690505397350219726562500 (EulerGamma^2) ((Log[5])^3))/4315617149525253)+((42113131746687774658203125 (π^2) ((Log[5])^3))/12946851448575759)+((54164573854018689182849830956795654296875 Log[2] ((Log[5])^3))/530171350368494905906327447956)-((67381010794700439453125000 EulerGamma Log[2] ((Log[5])^3))/4315617149525253)-((33690505397350219726562500 ((Log[2])^2) ((Log[5])^3))/4315617149525253)+((54164573854018689182849830956795654296875 ((Log[5])^4))/2120685401473979623625309791824)-((16845252698675109863281250 EulerGamma ((Log[5])^4))/4315617149525253)-((16845252698675109863281250 Log[2] ((Log[5])^4))/4315617149525253)-((3369050539735021972656250 ((Log[5])^5))/4315617149525253)+(465098861393107621705799268782692821410572954717031638609010475526315897883562808599115935313 Log[7])/2251330471616850944194143698950636098112878676836272018998921824829440000000000-((11113435694427064181909493501842447654695682214533380742975664560063127181271 EulerGamma Log[7])/184347691758292663788109264516715806973326849121724518400000000)+((1905647954293449595384715785949740576346139234277296603283 (EulerGamma^2) Log[7])/317377708599339377340433808374920585600000000)-((5149497257187636678746138232827144 (EulerGamma^3) Log[7])/26752023122557690546875)-((1905647954293449595384715785949740576346139234277296603283 (π^2) Log[7])/761706500638414505617041140099809405440000000)+((1287374314296909169686534558206786 EulerGamma (π^2) Log[7])/5350404624511538109375)-((1508473418158413824540633061173 (π^4) Log[7])/40349959460871328125)-((11107601591661268431491524787106369500259924237521075998388783530975646144471 Log[2] Log[7])/184347691758292663788109264516715806973326849121724518400000000)+((1905647954293449595384715785949740576346139234277296603283 EulerGamma Log[2] Log[7])/158688854299669688670216904187460292800000000)-((5149497257187636678746138232827144 (EulerGamma^2) Log[2] Log[7])/8917341040852563515625)+((1287374314296909169686534558206786 (π^2) Log[2] Log[7])/5350404624511538109375)+((1905647954293449595384715785949740576346139234277296603283 ((Log[2])^2) Log[7])/317377708599339377340433808374920585600000000)-((5149497257187636678746138232827144 EulerGamma ((Log[2])^2) Log[7])/8917341040852563515625)-((5149497257187636678746138232827144 ((Log[2])^3) Log[7])/26752023122557690546875)-((11113435694427064181909493501842447654695682214533380742975664560063127181271 ((Log[7])^2))/368695383516585327576218529033431613946653698243449036800000000)+((1905647954293449595384715785949740576346139234277296603283 EulerGamma ((Log[7])^2))/317377708599339377340433808374920585600000000)-((2574748628593818339373069116413572 (EulerGamma^2) ((Log[7])^2))/8917341040852563515625)+((643687157148454584843267279103393 (π^2) ((Log[7])^2))/5350404624511538109375)+((1905647954293449595384715785949740576346139234277296603283 Log[2] ((Log[7])^2))/317377708599339377340433808374920585600000000)-((5149497257187636678746138232827144 EulerGamma Log[2] ((Log[7])^2))/8917341040852563515625)-((2574748628593818339373069116413572 ((Log[2])^2) ((Log[7])^2))/8917341040852563515625)+((1905647954293449595384715785949740576346139234277296603283 ((Log[7])^3))/952133125798018132021301425124761756800000000)-((5149497257187636678746138232827144 EulerGamma ((Log[7])^3))/26752023122557690546875)-((5149497257187636678746138232827144 Log[2] ((Log[7])^3))/26752023122557690546875)-((1287374314296909169686534558206786 ((Log[7])^4))/26752023122557690546875)+((221371566024337244609584072211357351528525559143126947715394543866974663380301 Log[11])/4248121703202798638863895943929098128065049602811494400000000000)-((52745685830099477986651873536642540876200588283519854070857 EulerGamma Log[11])/22041359045925553970304846354488787840000000000)-((73082923021858756200522623449449383 (EulerGamma^2) Log[11])/1004695914716268868800000)+((73082923021858756200522623449449383 (π^2) Log[11])/2411270195319045285120000)-((52745685830099477986651873536642540876200588283519854070857 Log[2] Log[11])/22041359045925553970304846354488787840000000000)-((73082923021858756200522623449449383 EulerGamma Log[2] Log[11])/502347957358134434400000)-((73082923021858756200522623449449383 ((Log[2])^2) Log[11])/1004695914716268868800000)-((52745685830099477986651873536642540876200588283519854070857 ((Log[11])^2))/44082718091851107940609692708977575680000000000)-((73082923021858756200522623449449383 EulerGamma ((Log[11])^2))/1004695914716268868800000)-((73082923021858756200522623449449383 Log[2] ((Log[11])^2))/1004695914716268868800000)-((73082923021858756200522623449449383 ((Log[11])^3))/3014087744148806606400000)+((76666492010191371806183840424996390001698500946251811825270338963 Log[13])/19667281164792662255402069159957373847339008000000000)-((1479763327063560090122840557666676548833791 EulerGamma Log[13])/3508275622490676860323995648000)-((1479763327063560090122840557666676548833791 Log[2] Log[13])/3508275622490676860323995648000)-((1479763327063560090122840557666676548833791 ((Log[13])^2))/7016551244981353720647991296000)-((2731057218720062124359885947203377573861656198901 Log[17])/744631077020835278552284790784000000000)-((37938222120801819020796824879234326913659679438197844526843626773646960320337 Zeta[3])/18492888005638506616835849590097206254144930903293557656000000000)+((246243854294520900009622483504545976562551048175131720194059411 EulerGamma Zeta[3])/82799961529652648185513731081582370065881062500000)-((377071180459107888144267389877730966409192027828 (EulerGamma^2) Zeta[3])/1124356882666985397999194016406640625)+((324108260699852342895770652220660736 (EulerGamma^3) Zeta[3])/67404891942718885007578125)-((3764946133940436992 (EulerGamma^4) Zeta[3])/63814078125)+((94401431044018673004522611822121067873777814957 (π^2) Zeta[3])/674614129600191238799516409843984375)-((81027065174963085723942663055165184 EulerGamma (π^2) Zeta[3])/13480978388543777001515625)+((1882473066970218496 (EulerGamma^2) (π^2) Zeta[3])/12762815625)+((324509265630907588475841260288 (π^4) Zeta[3])/213770013931208109375)-((35186412466733056 EulerGamma (π^4) Zeta[3])/3038765625)-((657689952649216 (π^6) Zeta[3])/364651875)+((21001627101995609411581042363269400621853677035848031844298120899 Log[2] Zeta[3])/1407599346004095019153733428386900291119978062500000)-((77791074978697848168822855635730494716859634787304 EulerGamma Log[2] Zeta[3])/19114067005338751765986298278912890625)-((5518376840756987980159037718568035328 (EulerGamma^2) Log[2] Zeta[3])/22468297314239628335859375)-((30119569071523495936 (EulerGamma^3) Log[2] Zeta[3])/63814078125)+((1379594210189246995039759429642008832 (π^2) Log[2] Zeta[3])/13480978388543777001515625)+((7529892267880873984 EulerGamma (π^2) Log[2] Zeta[3])/12762815625)-((70372824933466112 (π^4) Log[2] Zeta[3])/3038765625)-((127801432798337792531856028592773888963024536367604 ((Log[2])^2) Zeta[3])/19114067005338751765986298278912890625)-((23166654815439346170663691172856390656 EulerGamma ((Log[2])^2) Zeta[3])/22468297314239628335859375)-((30119569071523495936 (EulerGamma^2) ((Log[2])^2) Zeta[3])/21271359375)+((7529892267880873984 (π^2) ((Log[2])^2) Zeta[3])/12762815625)-((6941194007282735925896191656324180992 ((Log[2])^3) Zeta[3])/6127717449338080455234375)-((120478276286093983744 EulerGamma ((Log[2])^3) Zeta[3])/63814078125)-((60239138143046991872 ((Log[2])^4) Zeta[3])/63814078125)+((2197628152148463848722077173180024061176151534147310740909 Log[3] Zeta[3])/27903436406305939454587474670219091680000000)-((36525809885614800745539071477066151373119 EulerGamma Log[3] Zeta[3])/8197490423846328457571468750)+((2845058684896482665227459704 (EulerGamma^2) Log[3] Zeta[3])/241588944712740625)-((237088223741373555435621642 (π^2) Log[3] Zeta[3])/48317788942548125)-((187136619423554787110260151041477545297111 Log[2] Log[3] Zeta[3])/21313475102000453989685818750)+((5690117369792965330454919408 EulerGamma Log[2] Log[3] Zeta[3])/241588944712740625)+((2845058684896482665227459704 ((Log[2])^2) Log[3] Zeta[3])/241588944712740625)-((36525809885614800745539071477066151373119 ((Log[3])^2) Zeta[3])/16394980847692656915142937500)+((2845058684896482665227459704 EulerGamma ((Log[3])^2) Zeta[3])/241588944712740625)+((2845058684896482665227459704 Log[2] ((Log[3])^2) Zeta[3])/241588944712740625)+((948352894965494221742486568 ((Log[3])^3) Zeta[3])/241588944712740625)-((48935475416365143293368078826519509650324910888671875 Log[5] Zeta[3])/50969813610152128102033674332858102862336)-((32747170908363214695395697021484375 EulerGamma Log[5] Zeta[3])/19020387440200929068286)+((435840949512939453125000 (EulerGamma^2) Log[5] Zeta[3])/3353237878419)-((544801186891174316406250 (π^2) Log[5] Zeta[3])/10059713635257)-((32747170908363214695395697021484375 Log[2] Log[5] Zeta[3])/19020387440200929068286)+((871681899025878906250000 EulerGamma Log[2] Log[5] Zeta[3])/3353237878419)+((435840949512939453125000 ((Log[2])^2) Log[5] Zeta[3])/3353237878419)-((32747170908363214695395697021484375 ((Log[5])^2) Zeta[3])/38040774880401858136572)+((435840949512939453125000 EulerGamma ((Log[5])^2) Zeta[3])/3353237878419)+((435840949512939453125000 Log[2] ((Log[5])^2) Zeta[3])/3353237878419)+((435840949512939453125000 ((Log[5])^3) Zeta[3])/10059713635257)-((51908301219195103421665546254911344568837345479247 Log[7] Zeta[3])/1106486858636931307966068450240000000)+((12067787345267310596325064489384 EulerGamma Log[7] Zeta[3])/2689997297391421875)+((12067787345267310596325064489384 Log[2] Log[7] Zeta[3])/2689997297391421875)+((6033893672633655298162532244692 ((Log[7])^2) Zeta[3])/2689997297391421875)+((916661520228559085753419450335169 Log[11] Zeta[3])/1040057882729056800000)+((7936716077685062065942336951739400494723596 ((Zeta[3])^2))/7032284971491918553955618203125)-((9226044076210976985367721194496 EulerGamma ((Zeta[3])^2))/99759339834563784375)+((70372824933466112 (EulerGamma^2) ((Zeta[3])^2))/202584375)-((17593206233366528 (π^2) ((Zeta[3])^2))/121550625)+((48629011092174952407242177072128 Log[2] ((Zeta[3])^2))/99759339834563784375)+((281491299733864448 EulerGamma Log[2] ((Zeta[3])^2))/202584375)+((281491299733864448 ((Log[2])^2) ((Zeta[3])^2))/202584375)-((920202960822344388195192 Log[3] ((Zeta[3])^2))/48269519423125)-((2819152325439453125000 Log[5] ((Zeta[3])^2))/7816405311)-((1315379905298432 ((Zeta[3])^3))/5788125)+((2231413647791532514806146639113603398284115939282163 Zeta[5])/595070882701364777838611428635187500000)-((25887062831718455962965113393441629456405544 EulerGamma Zeta[5])/11720474952486530923259363671875)+((9108330696383133189120002536448 (EulerGamma^2) Zeta[5])/99759339834563784375)-((140745649866932224 (EulerGamma^3) Zeta[5])/607753125)-((2277082674095783297280000634112 (π^2) Zeta[5])/59855603900738270625)+((35186412466733056 EulerGamma (π^2) Zeta[5])/121550625)-((328844976324608 (π^4) Zeta[5])/28940625)-((4583394800845317520951794985287860865168291496 Log[2] Zeta[5])/199248074192271025695409182421875)-((97728875703661279999475228776448 EulerGamma Log[2] Zeta[5])/99759339834563784375)-((281491299733864448 (EulerGamma^2) Log[2] Zeta[5])/202584375)+((70372824933466112 (π^2) Log[2] Zeta[5])/121550625)-((223207935794056331061339022773248 ((Log[2])^2) Zeta[5])/99759339834563784375)-((562982599467728896 EulerGamma ((Log[2])^2) Zeta[5])/202584375)-((1125965198935457792 ((Log[2])^3) Zeta[5])/607753125)-((12508417940451008763173516540749874853 Log[3] Zeta[5])/856960922439807566631250)+((1840405921644688776390384 EulerGamma Log[3] Zeta[5])/48269519423125)+((1840405921644688776390384 Log[2] Log[3] Zeta[5])/48269519423125)+((920202960822344388195192 ((Log[3])^2) Zeta[5])/48269519423125)-((49732147740073692822906494140625 Log[5] Zeta[5])/11301477979917367242)+((5638304650878906250000 EulerGamma Log[5] Zeta[5])/7816405311)+((5638304650878906250000 Log[2] Log[5] Zeta[5])/7816405311)+((2819152325439453125000 ((Log[5])^2) Zeta[5])/7816405311)+((14140360130042044555452871012 Log[7] Zeta[5])/811462231490625)-((786181397518634810822961152 Zeta[3] Zeta[5])/1006663435903125)+((2630759810596864 EulerGamma Zeta[3] Zeta[5])/1929375)+((5261519621193728 Log[2] Zeta[3] Zeta[5])/1929375)+((12293270142976 ((Zeta[5])^2))/18375)-((19516964886931046540232102920454152 Zeta[7])/3580251862951566928125)+((784316383668039285535483904 EulerGamma Zeta[7])/1006663435903125)-((1315379905298432 (EulerGamma^2) Zeta[7])/1929375)+((328844976324608 (π^2) Zeta[7])/1157625)-((19891070186669301955667904512 Log[2] Zeta[7])/11073297794934375)-((5261519621193728 EulerGamma Log[2] Zeta[7])/1929375)-((5261519621193728 ((Log[2])^2) Zeta[7])/1929375)+((595728033870825864432 Log[3] Zeta[7])/9644259625)+((36470275878906250000 Log[5] Zeta[7])/18220059)+((24586540285952 Zeta[3] Zeta[7])/18375)+((691167380551362686584832 Zeta[9])/245827456875)-((24586540285952 EulerGamma Zeta[9])/18375)-((49173080571904 Log[2] Zeta[9])/18375)-((229780750336 Zeta[11])/175))+((101473991241352245248 Zeta[11])/5457375)-(459561500672/175) EulerGamma Zeta[11]-(919123001344/175) Log[2] Zeta[11]-((12884901888 Zeta[13])/5));

(Subscript[Δλ, 2])

The second tidal invariant up to order (y^25.5).

Δλ2=-(y^3)-((3 (y^4))/2)-((23 (y^5))/8)+(-(2593/48)+((1249 (π^2))/1024)) (y^6)-(27392/525) π (y^(17/2))+((58087 π (y^(19/2)))/1575)+((2672297839 π (y^(21/2)))/6548850)+(y^7) (-(362051/3200)-((256 EulerGamma)/5)+((1737 (π^2))/1024)-((512 Log[2])/5)-((128 Log[y])/5))+(y^8) ((917879/1280)+((176 EulerGamma)/7)-((7637151 (π^2))/65536)+((16592 Log[2])/105)-((729 Log[3])/7)+((88 Log[y])/7))+(y^9) ((35725395527/2903040)+((1193824 EulerGamma)/2835)-((24327985735 (π^2))/14155776)+((29225393 (π^4))/2097152)+((2368 Log[2])/405)+((1215 Log[3])/2)+((596912 Log[y])/2835))+(y^(27/2)) (((336629234198810065383583 π)/11565838080853056000)-((84454061934086 EulerGamma π)/11345882625)+((25421917126 (π^3))/9823275)+((731692656242 π Log[2])/194500845)-(616005/49) π Log[3]-((42227030967043 π Log[y])/11345882625))+(y^(25/2)) (-((2608988253558091529 π)/318155357520000)-((1940124 EulerGamma π)/42875)-((14576396 (π^3))/33075)-((2608166516 π Log[2])/1157625)+(739206/343) π Log[3]-((970062 π Log[y])/42875))+(y^(23/2)) (-((1425524472919397 π)/349621272000)+((46895104 EulerGamma π)/55125)-((438272 (π^3))/1575)+((93790208 π Log[2])/55125)+((23447552 π Log[y])/55125))+(y^11) (-(4696484502278412099877/5126083522560000)-((4893706340371 EulerGamma)/496621125)+((931408 (EulerGamma^2))/11025)-((47818652586050411 (π^2))/1109812838400)+((1179941921594993 (π^4))/85899345920)-((361932668021 Log[2])/23648625)-((3146144 EulerGamma Log[2])/1575)-((34897328 ((Log[2])^2))/11025)-((13359835171323 Log[3])/784784000)+(113724/49) EulerGamma Log[3]+(113724/49) Log[2] Log[3]+((56862 ((Log[3])^2))/49)+((8826171875 Log[5])/1482624)+(-(4919133341971/993242250)+((931408 EulerGamma)/11025)-((1573072 Log[2])/1575)+((56862 Log[3])/49)) Log[y]+((232852 ((Log[y])^2))/11025)-((57312 Zeta[3])/35))+(y^10) ((14160351233504683/130394880000)-((6572909192 EulerGamma)/1819125)+((219136 (EulerGamma^2))/525)-((282633370752961 (π^2))/26424115200)-((56292563931 (π^4))/536870912)-((7034284984 Log[2])/1819125)+(876544/525) EulerGamma Log[2]+((876544 ((Log[2])^2))/525)-((2838483 Log[3])/3520)-((9765625 Log[5])/19008)+(-(3286454596/1819125)+((219136 EulerGamma)/525)+((438272 Log[2])/525)) Log[y]+((54784 ((Log[y])^2))/525)-((4096 Zeta[3])/5))+(y^12) (-(100903879415147484641886367/3044893612400640000)+((341935703082793 EulerGamma)/12872419560)-((3437020472 (EulerGamma^2))/893025)-((18276670153689478799 (π^2))/106542032486400)+((145187213724599353117 (π^4))/395824185999360)-((3328032926399 (π^6))/3221225472)-((1564401033343 Log[2])/31755240)+((6794600272 EulerGamma Log[2])/1403325)+((42570053816 ((Log[2])^2))/1964655)+((471959547237 Log[3])/4928000)-(94770/7) EulerGamma Log[3]-(94770/7) Log[2] Log[3]-((47385 ((Log[3])^2))/7)-((341119140625 Log[5])/13837824)-((678223072849 Log[7])/277992000)+((336663160031017/25744839120)-((3437020472 EulerGamma)/893025)+((3397300136 Log[2])/1403325)-((47385 Log[3])/7)) Log[y]-((859255118 ((Log[y])^2))/893025)+((4433552 Zeta[3])/567))+(y^(33/2)) (-((878739898138698227458999708782678446133793 π)/800885869802900001651759285657600000)-((4016458443667551125319353203 EulerGamma π)/15186409461564541200000)+((87324664477990228 (EulerGamma^2) π)/1456054936875)-((1023652757058864722317909 (π^3))/4819099200355440000)-((99121641300728 EulerGamma (π^3))/3781960875)+((123896561176 (π^5))/49116375)+((246466651065322357675903575577 π Log[2])/143777824642604552400000)-((331991009894400056 EulerGamma π Log[2])/1531694154375)+((302617421208376 (π^3) Log[2])/1326142125)-((73307612416080111724 π ((Log[2])^2))/117940449886875)-((3891927074255072704610757 π Log[3])/1623260056818400000)+(96096780/343) EulerGamma π Log[3]-(7392060/49) (π^3) Log[3]+(96096780/343) π Log[2] Log[3]+(48048390/343) π ((Log[3])^2)+((43141912100809287109375 π Log[5])/54096300864942336)+((42358546129606626367 π Log[7])/381864579525000)+(-((3854184236032319074099692403 π)/30372818923129082400000)+((87324664477990228 EulerGamma π)/1456054936875)-((49560820650364 (π^3))/3781960875)-((165995504947200028 π Log[2])/1531694154375)+(48048390/343) π Log[3]) Log[y]+((21831166119497557 π ((Log[y])^2))/1456054936875)-((99121641300728 π Zeta[3])/1260653625))+(y^(29/2)) (-((4247632379724880440936861021251 π)/54992668614936068016000000)+((3627715358766651040027 EulerGamma π)/59057588239650000)-((40142209024 (EulerGamma^2) π)/5788125)-((12540743342866241 (π^3))/1311079770000)+((750321664 EulerGamma (π^3))/165375)+((7012352 (π^5))/23625)+((239685078235585923331 π Log[2])/6561954248850000)-((160568836096 EulerGamma π Log[2])/5788125)+((1500643328 (π^3) Log[2])/165375)-((160568836096 π ((Log[2])^2))/5788125)+((28590177065193 π Log[3])/1763521760)+((29176220703125 π Log[5])/1749125664)+(((3627715358766651040027 π)/118115176479300000)-((40142209024 EulerGamma π)/5788125)+((375160832 (π^3))/165375)-((80284418048 π Log[2])/5788125)) Log[y]-((10035552256 π ((Log[y])^2))/5788125)+((750321664 π Zeta[3])/55125))+(y^(31/2)) (-((17814262485036076084068117543498025079 π)/22167764689355188761521664000000)+((959470947789066888806999 EulerGamma π)/4606491882692700000)-((104717532296 (EulerGamma^2) π)/17364375)-((451479164965426159 (π^3))/3787563780000)+((2331205552 EulerGamma (π^3))/165375)+((142842128 (π^5))/70875)+((4347734456755030650576587 π Log[2])/10748481059616300000)+((323272814608 EulerGamma π Log[2])/13505625)+((8062785904 (π^3) Log[2])/3472875)+((5830228449352 π ((Log[2])^2))/121550625)+((777809311580363643621 π Log[3])/1965885881960000)-((115316136 EulerGamma π Log[3])/2401)+(8870472/343) (π^3) Log[3]-((115316136 π Log[2] Log[3])/2401)-((57658068 π ((Log[3])^2))/2401)-((26369468271484375 π Log[5])/136431801792)+(((959470947789066888806999 π)/9212983765385400000)-((104717532296 EulerGamma π)/17364375)+((1165602776 (π^3))/165375)+((161636407304 π Log[2])/13505625)-((57658068 π Log[3])/2401)) Log[y]-((26179383074 π ((Log[y])^2))/17364375)+((2331205552 π Zeta[3])/55125))+(y^13) (-(19849728645586798963670301395715143/49396923387451345305600000)-((1625662377940787050427 EulerGamma)/55776611115225000)+((144072014504954 (EulerGamma^2))/5462832375)-((375160832 (EulerGamma^3))/165375)+((316372978729180099591649107 (π^2))/469253727883100160000)+((93790208 EulerGamma (π^2))/33075)+((49196714267884383672303691 (π^4))/13299692649578496000)+((1224709581058837 (π^6))/34359738368)+((267827958591244578422639 Log[2])/501989500037025000)+((169787211215068 EulerGamma Log[2])/16388497125)-((750321664 (EulerGamma^2) Log[2])/55125)+((187580416 (π^2) Log[2])/33075)-((1575142519778962 ((Log[2])^2))/16388497125)-((1500643328 EulerGamma ((Log[2])^2))/55125)-((3001286656 ((Log[2])^3))/165375)-((27023001987617566479 Log[3])/167887271552000)+((77840476011 EulerGamma Log[3])/4404400)+((77840476011 Log[2] Log[3])/4404400)+((77840476011 ((Log[3])^2))/8808800)-((18234546953814453125 Log[5])/139874081098752)+((37744140625 EulerGamma Log[5])/2038608)+((37744140625 Log[2] Log[5])/2038608)+((37744140625 ((Log[5])^2))/4077216)+((43503165672743 Log[7])/1050192000)+((72036007252477/10925664750)-((93790208 EulerGamma)/55125)-((187580416 Log[2])/55125)) ((Log[y])^2)-((46895104 ((Log[y])^3))/165375)-((49988601004 Zeta[3])/1819125)+(7012352/525) EulerGamma Zeta[3]+(14024704/525) Log[2] Zeta[3]+Log[y] (-(1776762811069392010427/111553222230450000)+((144072014504954 EulerGamma)/5462832375)-((187580416 (EulerGamma^2))/55125)+((46895104 (π^2))/33075)+((84893605607534 Log[2])/16388497125)-((750321664 EulerGamma Log[2])/55125)-((750321664 ((Log[2])^2))/55125)+((77840476011 Log[3])/8808800)+((37744140625 Log[5])/4077216)+((3506176 Zeta[3])/525))+((65536 Zeta[5])/5))+(y^14) ((1587976079797604814918786653278459573361/854072805369033760333824000000)-((8723412958458566087930441177 EulerGamma)/10415278146768194700000)+((2661520081340964401 (EulerGamma^2))/22370298575625)-((9525895936 (EulerGamma^3))/3472875)-((334704305890999854905574053879033 (π^2))/3513771914388653998080000)+((2381473984 EulerGamma (π^2))/694575)+((240872323127917332868816475237 (π^4))/47666098456089329664000)-((203477240692779353935 (π^6))/138538465099776)-((13970634868229722249737557 Log[2])/5063334052877100000)+((987397297378547014 EulerGamma Log[2])/2033663506875)+((3640123136 (EulerGamma^2) Log[2])/385875)-((910030784 (π^2) Log[2])/231525)+((4868496539064319883 ((Log[2])^2))/7456766191875)+((51812900096 EulerGamma ((Log[2])^2))/1157625)+((44532653824 ((Log[2])^3))/1157625)-((15913308806292853013647257 Log[3])/9562068929853440000)+((81604845977535927 EulerGamma Log[3])/196392196000)-(8870472/343) (EulerGamma^2) Log[3]+(3696030/343) (π^2) Log[3]+((91172409973474743 Log[2] Log[3])/196392196000)-(17740944/343) EulerGamma Log[2] Log[3]-(8870472/343) ((Log[2])^2) Log[3]+((81604845977535927 ((Log[3])^2))/392784392000)-(8870472/343) EulerGamma ((Log[3])^2)-(8870472/343) Log[2] ((Log[3])^2)-((2956824 ((Log[3])^3))/343)+((774882301042051373046875 Log[5])/414586776376700928)-((34113154296875 EulerGamma Log[5])/159011424)-((34113154296875 Log[2] Log[5])/159011424)-((34113154296875 ((Log[5])^2))/318022848)-((504631202715118986059 Log[7])/1792954994688000)+((2680194891812081201/89481194302500)-((2381473984 EulerGamma)/1157625)+((910030784 Log[2])/385875)-((2217618 Log[3])/343)) ((Log[y])^2)-((1190736992 ((Log[y])^3))/3472875)-((198044268661346 Zeta[3])/496621125)+((539634176 EulerGamma Zeta[3])/11025)+((157460992 Log[2] Zeta[3])/11025)+(4094064/49) Log[3] Zeta[3]+Log[y] (-(8873669383459120101460629977/20830556293536389400000)+((2661520081340964401 EulerGamma)/22370298575625)-((4762947968 (EulerGamma^2))/1157625)+((1190736992 (π^2))/694575)+((494547503710687907 Log[2])/2033663506875)+((3640123136 EulerGamma Log[2])/385875)+((25906450048 ((Log[2])^2))/1157625)+((81604845977535927 Log[3])/392784392000)-(8870472/343) EulerGamma Log[3]-(8870472/343) Log[2] Log[3]-((4435236 ((Log[3])^2))/343)-((34113154296875 Log[5])/318022848)+((269817088 Zeta[3])/11025))+((707072 Zeta[5])/7))+(y^15) ((2414892567708773463979964883629243110584543483233/15834448318299899346158352924672000000)-((495857514022424850982475047313807 EulerGamma)/315520436178195690241800000)-((253435635132530765761019 (EulerGamma^2))/2710743300199935000)+((416584131877696 (EulerGamma^3))/20422588725)-((725545905960663924782740410707463647 (π^2))/172802283075470591262720000)-((104146032969424 EulerGamma (π^2))/4084517745)-((695532337186146671394101506426105447 (π^4))/1359055799180018967379968000)-((1972817957393892394411583 (π^6))/30399297484750848)+((2451925837282700461 (π^8))/19791209299968)-((5847778524718005712851407467454953 Log[2])/631040872356391380483600000)+((2631218093161754315652421 EulerGamma Log[2])/1355371650099967500)-((4280895102076864 (EulerGamma^2) Log[2])/34037647875)+((1070223775519216 (π^2) Log[2])/20422588725)+((12426993372195597130915781 ((Log[2])^2))/2710743300199935000)-((23633623737624512 EulerGamma ((Log[2])^2))/34037647875)-((11744910335224384 ((Log[2])^3))/14587563375)+((51234996291683954427554286951 Log[3])/3947768458182348800000)-((24210899307284295303 EulerGamma Log[3])/9539049520000)+(7392060/49) (EulerGamma^2) Log[3]-(3080025/49) (π^2) Log[3]-((30860681711808573063 Log[2] Log[3])/9539049520000)+(14784120/49) EulerGamma Log[2] Log[3]+(7392060/49) ((Log[2])^2) Log[3]-((24210899307284295303 ((Log[3])^2))/19078099040000)+(7392060/49) EulerGamma ((Log[3])^2)+(7392060/49) Log[2] ((Log[3])^2)+((2464020 ((Log[3])^3))/49)-((19411060079856302297634765625 Log[5])/2664134624996680163328)+((1409258865224609375 EulerGamma Log[5])/1589478194304)+((1409258865224609375 Log[2] Log[5])/1589478194304)+((1409258865224609375 ((Log[5])^2))/3178956388608)-((529932652475491438929787129 Log[7])/1176841869863362560000)+((14180966230199741 EulerGamma Log[7])/115192935000)+((14180966230199741 Log[2] Log[7])/115192935000)+((14180966230199741 ((Log[7])^2))/230385870000)+(-(230100400220601639975419/10842973200799740000)+((104146032969424 EulerGamma)/6807529575)-((1070223775519216 Log[2])/34037647875)+((1848015 Log[3])/49)) ((Log[y])^2)+((52073016484712 ((Log[y])^3))/20422588725)+Log[y] (-(517442198628498393725473546203407/631040872356391380483600000)-((248698267854613354023419 EulerGamma)/2710743300199935000)+((208292065938848 (EulerGamma^2))/6807529575)-((52073016484712 (π^2))/4084517745)+((2647623077895636290282821 Log[2])/2710743300199935000)-((4280895102076864 EulerGamma Log[2])/34037647875)-((11816811868812256 ((Log[2])^2))/34037647875)-((24210899307284295303 Log[3])/19078099040000)+(7392060/49) EulerGamma Log[3]+(7392060/49) Log[2] Log[3]+((3696030 ((Log[3])^2))/49)+((1409258865224609375 Log[5])/3178956388608)+((14180966230199741 Log[7])/230385870000)-((70798693184 Zeta[3])/1964655))-((3988878460574807099 Zeta[3])/5309873068500)-((141597386368 EulerGamma Zeta[3])/1964655)+((7588521025408 Log[2] Zeta[3])/9823275)-(3411720/7) Log[3] Zeta[3]+((418238336 Zeta[5])/2835))+(y^(39/2)) (-((87461224662166441951095301158395404801889695580895085601415741961 π)/499371505071041262628735787051761898352114482872320000000)+((34617676250673356620001780884709500287003061051120673 EulerGamma π)/603017754424116622958798053604450396928000000)-((1395715704946162763947288581752623891 (EulerGamma^2) π)/605550142380942412877223000000)-((94971596044763846326448 (EulerGamma^3) π)/408663658858021875)-((1346712922992561252403717635663258277243528253 (π^3))/27029898105847875055746875890944000000)+((92032374013509967820514902077213 EulerGamma (π^3))/8303169373110412901100000)-((18656541792692627792 (EulerGamma^2) (π^3))/117940449886875)+((12598666572204423661090447 (π^5))/6023874000444300000)-((95029607032559264 EulerGamma (π^5))/510564718125)-((186033262998848 (π^7))/3094331625)+((2399602756956120791304639645426786926259576471103372783 π Log[2])/9045266316361749344381970804066755953920000000)-((10287182527815512122253868599554416293 EulerGamma π Log[2])/181665042714282723863166900000)+((350480501412239245742384 (EulerGamma^2) π Log[2])/81732731771604375)+((191807776126561462974146450203307 (π^3) Log[2])/4981901623866247740660000)-((549127799509177237088 EulerGamma (π^3) Log[2])/70764269932125)-((394550535738153568 (π^5) Log[2])/306338830875)-((220273253181027622771504329854452259129 π ((Log[2])^2))/1816650427142827238631669000000)+((7919966544225966909740528 EulerGamma π ((Log[2])^2))/408663658858021875)-((5338746773744592763888 (π^3) ((Log[2])^2))/353821349660625)+((3790554708410984815533712 π ((Log[2])^3))/175141568082009375)-((1181954040900634457987090224686644519826076071 π Log[3])/2728918449365310782130164373760000000)+((2344414024590255252479209227309 EulerGamma π Log[3])/34528770483598391000000)-((7495548840 (EulerGamma^2) π Log[3])/2401)-((171381251878328891010951 (π^3) Log[3])/3353843092600000)+(1153161360/343) EulerGamma (π^3) Log[3]+(17740944/49) (π^5) Log[3]+((3280479245591677223066464011309 π Log[2] Log[3])/34528770483598391000000)-((14991097680 EulerGamma π Log[2] Log[3])/2401)+(1153161360/343) (π^3) Log[2] Log[3]-((7495548840 π ((Log[2])^2) Log[3])/2401)+((2344414024590255252479209227309 π ((Log[3])^2))/69057540967196782000000)-((7495548840 EulerGamma π ((Log[3])^2))/2401)+(576580680/343) (π^3) ((Log[3])^2)-((7495548840 π Log[2] ((Log[3])^2))/2401)-((2498516280 π ((Log[3])^3))/2401)+((53871274179516734481492298436047873544921875 π Log[5])/220991870422727638455777018659868672)-((59449430917129520704638671875 EulerGamma π Log[5])/2071252691592128396352)+((1078547802520232177734375 (π^3) Log[5])/40572225648706752)-((59449430917129520704638671875 π Log[2] Log[5])/2071252691592128396352)-((59449430917129520704638671875 π ((Log[5])^2))/4142505383184256792704)+((69068648022046682803655837927688022307 π Log[7])/3183178237597544294085120000000)-((885674841023944950707603 EulerGamma π Log[7])/158235135140671875)+((2075568760350724691983 (π^3) Log[7])/286398434643750)-((885674841023944950707603 π Log[2] Log[7])/158235135140671875)-((885674841023944950707603 π ((Log[7])^2))/316470270281343750)+(-((1606718864963353951390848718168265491 π)/2422200569523769651508892000000)-((23742899011190961581612 EulerGamma π)/136221219619340625)-((4664135448173156948 (π^3))/117940449886875)+((87620125353059811435596 π Log[2])/81732731771604375)-((1873887210 π Log[3])/2401)) ((Log[y])^2)-((11871449505595480790806 π ((Log[y])^3))/408663658858021875)+((4896651184648732137545999567713 π Zeta[3])/150966715874734780020000)-((37313083585385255584 EulerGamma π Zeta[3])/39313483295625)+((95029607032559264 (π^3) Zeta[3])/34037647875)-((549127799509177237088 π Log[2] Zeta[3])/23588089977375)+(3459484080/343) π Log[3] Zeta[3]+Log[y] (((35511360361142694729525004411277393155748714490813473 π)/1206035508848233245917596107208900793856000000)-((1448466494950460560808178615856534291 EulerGamma π)/605550142380942412877223000000)-((47485798022381923163224 (EulerGamma^2) π)/136221219619340625)+((92505565602974304481871432970013 (π^3))/16606338746220825802200000)-((18656541792692627792 EulerGamma (π^3))/117940449886875)-((47514803516279632 (π^5))/510564718125)-((10382133949823248156603470660941455013 π Log[2])/363330085428565447726333800000)+((350480501412239245742384 EulerGamma π Log[2])/81732731771604375)-((274563899754588618544 (π^3) Log[2])/70764269932125)+((3959983272112983454870264 π ((Log[2])^2))/408663658858021875)+((2344414024590255252479209227309 π Log[3])/69057540967196782000000)-((7495548840 EulerGamma π Log[3])/2401)+(576580680/343) (π^3) Log[3]-((7495548840 π Log[2] Log[3])/2401)-((3747774420 π ((Log[3])^2))/2401)-((59449430917129520704638671875 π Log[5])/4142505383184256792704)-((885674841023944950707603 π Log[7])/316470270281343750)-((18656541792692627792 π Zeta[3])/39313483295625))-((95029607032559264 π Zeta[5])/11345882625))+(y^(37/2)) (-((33459365320840479861281074375776131140944130445773026503 π)/3610797220430468021110863496734527225241600000000)+((349097037628141037756340170178626378645868851 EulerGamma π)/26877555684961453859780508635520000000)-((246435728133319431667116686599 (EulerGamma^2) π)/103749713427946335750000)+((440810605580192 (EulerGamma^3) π)/5469778125)-((4817794459789817216980897171391172781 (π^3))/5541941172338797190380416000000)+((1548645628284354471718339 EulerGamma (π^3))/690973782403905000)-((10012165194656 (EulerGamma^2) (π^3))/52093125)+((20285666664935995231 (π^5))/127830277575000)-((17545196096 EulerGamma (π^5))/354375)-((12465540736 (π^7))/1488375)+((3876202889036408417441267967218814124428705143 π Log[2])/62714296598243392339487853482880000000)-((72782246209960380599536953487 EulerGamma π Log[2])/5763872968219240875000)-((659754431713952 (EulerGamma^2) π Log[2])/12762815625)+((15924713099684545089305287 (π^3) Log[2])/1612272158942445000)-((23387433395776 EulerGamma (π^3) Log[2])/121550625)-((1924863335104 (π^5) Log[2])/52093125)-((57958404551129675545789155367 π ((Log[2])^2))/3143930709937767750000)-((8150611773264544 EulerGamma π ((Log[2])^2))/12762815625)+((34926862444192 (π^3) ((Log[2])^2))/364651875)-((472088295027872 π ((Log[2])^3))/781396875)+((556783734980810041396291530507677377689 π Log[3])/12494966114531678544038272000000)-((3506019358048899757600779 EulerGamma π Log[3])/351402101400350000)+((8994658608 (EulerGamma^2) π Log[3])/16807)+((3087343162784999640303 (π^3) Log[3])/491471470490000)-((1383793632 EulerGamma (π^3) Log[3])/2401)-((106445664 (π^5) Log[3])/1715)-((320904508989259058942583 π Log[2] Log[3])/27030930876950000)+((17989317216 EulerGamma π Log[2] Log[3])/16807)-((1383793632 (π^3) Log[2] Log[3])/2401)+((8994658608 π ((Log[2])^2) Log[3])/16807)-((3506019358048899757600779 π ((Log[3])^2))/702804202800700000)+((8994658608 EulerGamma π ((Log[3])^2))/16807)-((691896816 (π^3) ((Log[3])^2))/2401)+((8994658608 π Log[2] ((Log[3])^2))/16807)+((2998219536 π ((Log[3])^3))/16807)-((36586422495007419689991887237744140625 π Log[5])/585089647563786750689099507712)+((101917994869287109375 EulerGamma π Log[5])/14632310742192)-((659236706787109375 (π^3) Log[5])/102323851344)+((101917994869287109375 π Log[2] Log[5])/14632310742192)+((101917994869287109375 π ((Log[5])^2))/29264621484384)+((409133236881412918313870927982997 π Log[7])/32007825415762134681600000)+(-((246435728133319431667116686599 π)/414998853711785343000000)+((110202651395048 EulerGamma π)/1823259375)-((2503041298664 (π^3))/52093125)-((164938607928488 π Log[2])/12762815625)+((2248664652 π Log[3])/16807)) ((Log[y])^2)+((55101325697524 π ((Log[y])^3))/5469778125)+((8137668707726394329961359 π Zeta[3])/1151622970673175000)-((20024330389312 EulerGamma π Zeta[3])/17364375)+((17545196096 (π^3) Zeta[3])/23625)-((23387433395776 π Log[2] Zeta[3])/40516875)-((4151380896 π Log[3] Zeta[3])/2401)+Log[y] (((350959919046439450504835971166397090873708851 π)/53755111369922907719561017271040000000)-((246435728133319431667116686599 EulerGamma π)/103749713427946335750000)+((220405302790096 (EulerGamma^2) π)/1823259375)+((1548645628284354471718339 (π^3))/1381947564807810000)-((10012165194656 EulerGamma (π^3))/52093125)-((8772598048 (π^5))/354375)-((72782246209960380599536953487 π Log[2])/11527745936438481750000)-((659754431713952 EulerGamma π Log[2])/12762815625)-((11693716697888 (π^3) Log[2])/121550625)-((4075305886632272 π ((Log[2])^2))/12762815625)-((3506019358048899757600779 π Log[3])/702804202800700000)+((8994658608 EulerGamma π Log[3])/16807)-((691896816 (π^3) Log[3])/2401)+((8994658608 π Log[2] Log[3])/16807)+((4497329304 π ((Log[3])^2))/16807)+((101917994869287109375 π Log[5])/29264621484384)-((10012165194656 π Zeta[3])/17364375))-((17545196096 π Zeta[5])/7875))+(y^(35/2)) (((4046084847941140563012362641939445229408161435567 π)/2617008991848090455397359431498444800000000)+((18667021070504757508011073263546402817 EulerGamma π)/59657902916048400676052340000000)-((549764438207802977942309003 (EulerGamma^2) π)/1330124531127517125000)+((68723461849088 (EulerGamma^3) π)/1823259375)+((3362936183312103382807959274471 (π^3))/4100330554622426124000000)+((244212293162790121717 EulerGamma (π^3))/6327598739962500)-((642275344384 (EulerGamma^2) (π^3))/17364375)-((2747984749247707 (π^5))/234121387500)-((12005146624 EulerGamma (π^5))/2480625)-((224395264 (π^7))/496125)-((1897228935574213625453815078036238026181 π Log[2])/125944461711657734760554940000000)+((63252911160551274069212941 EulerGamma π Log[2])/73895807284862062500)+((137446923698176 (EulerGamma^2) π Log[2])/607753125)-((424869030112483425233 (π^3) Log[2])/234355508887500)-((2569101377536 EulerGamma (π^3) Log[2])/17364375)-((24010293248 (π^5) Log[2])/2480625)+((1622998465937969186419096871 π ((Log[2])^2))/443374843709172375000)+((274893847396352 EulerGamma π ((Log[2])^2))/607753125)-((2569101377536 (π^3) ((Log[2])^2))/17364375)+((549787694792704 π ((Log[2])^3))/1823259375)+((1101913410555526645868948242278021 π Log[3])/219381996144590737057600000)-((19754186890030619337 EulerGamma π Log[3])/55165165055000)+((85770531195579 (π^3) Log[3])/440880440)-((19754186890030619337 π Log[2] Log[3])/55165165055000)-((19754186890030619337 π ((Log[3])^2))/110330330110000)+((804241416524311081575947265625 π Log[5])/182270236860107298878976)-((112766093017578125 EulerGamma π Log[5])/187593727464)+((729405517578125 (π^3) Log[5])/1311844248)-((112766093017578125 π Log[2] Log[5])/187593727464)-((112766093017578125 π ((Log[5])^2))/375187454928)-((2716998173170482176969 π Log[7])/1442599522650000)+(-((549764438207802977942309003 π)/5320498124510068500000)+((17180865462272 EulerGamma π)/607753125)-((160568836096 (π^3))/17364375)+((34361730924544 π Log[2])/607753125)) ((Log[y])^2)+((8590432731136 π ((Log[y])^3))/1823259375)+((814929966044989542743 π Zeta[3])/2952879411982500)-((1284550688768 EulerGamma π Zeta[3])/5788125)+((12005146624 (π^3) Zeta[3])/165375)-((2569101377536 π Log[2] Zeta[3])/5788125)+Log[y] (((20029417074736275414759490088972322817 π)/119315805832096801352104680000000)-((549764438207802977942309003 EulerGamma π)/1330124531127517125000)+((34361730924544 (EulerGamma^2) π)/607753125)+((244212293162790121717 (π^3))/12655197479925000)-((642275344384 EulerGamma (π^3))/17364375)-((6002573312 (π^5))/2480625)+((63252911160551274069212941 π Log[2])/147791614569724125000)+((137446923698176 EulerGamma π Log[2])/607753125)-((1284550688768 (π^3) Log[2])/17364375)+((137446923698176 π ((Log[2])^2))/607753125)-((19754186890030619337 π Log[3])/110330330110000)-((112766093017578125 π Log[5])/375187454928)-((642275344384 π Zeta[3])/5788125))-((12005146624 π Zeta[5])/55125))+(y^18) (-((402756892575803438041676336203135831241415871157912647658886070473594667)/590389956734235975521658073361688943864568846745600000000)-((221305255556410183660392871322942018027203913838183907 EulerGamma)/1130658289545218668047746350508344494240000000)+((7294743404206601643038982149783505347929957 (EulerGamma^2))/211171078951936523873022467898000000)-((61151501680303161777522871066 (EulerGamma^3))/51894808581940080631875)-((19706336619793382368 (EulerGamma^4))/353821349660625)-((197444548458710675389647949115925703164206316533019324654721601 (π^2))/89159061794940648741524742762835463091781632000000)+((30970077164705194773225211277 EulerGamma (π^2))/20757923432776032252750)+((9853168309896691184 (EulerGamma^2) (π^2))/70764269932125)+((9001045421928441280447030328976607618187386218298655911727 (π^4))/3146004063320708353021389066879052126617600000)+((5742551737763872 EulerGamma (π^4))/510564718125)+((60304151422435391378225139645856357382707 (π^6))/219188519291753459059041239040)+((641445020904319579920893334216181 (π^8))/37354656749261842022400)-((565311923985261338073157 (π^10))/25332747903959040)-((447473465581089060296064116010237689568251353951229 Log[2])/288433237128882313277486313905189922000000)+((860870127840494950413599277808752274606703 EulerGamma Log[2])/3016729699313378912471749541400000)-((55237721151610464517281151394 (EulerGamma^2) Log[2])/1765129543603404103125)+((81701537546390293376 (EulerGamma^3) Log[2])/50545907094375)+((27746633062621755537195680977 (π^2) Log[2])/2118155452324084923750)-((20425384386597573344 EulerGamma (π^2) Log[2])/10109181418875)+((15814140019289824 (π^4) Log[2])/72937816875)+((145509670429196256891889546191780653251838141 ((Log[2])^2))/211171078951936523873022467898000000)-((11320956594952484472640782592258 EulerGamma ((Log[2])^2))/86491347636566801053125)+((253949674552350284608 (EulerGamma^2) ((Log[2])^2))/23588089977375)-((63487418638087571152 (π^2) ((Log[2])^2))/14152853986425)-((5712512195091156157833377926766 ((Log[2])^3))/37067720415671486165625)+((1210430000456274758528 EulerGamma ((Log[2])^3))/50545907094375)+((6583765098838350218272 ((Log[2])^4))/353821349660625)+((724490444991391047554740195643685788908033034433 Log[3])/349301561518759780112661039841280000000)-((1546310896923566876000608910172584061 EulerGamma Log[3])/3336056800876421125504000000)+((14731422735468168987329871 (EulerGamma^2) Log[3])/405815014204600000)-(384387120/343) (EulerGamma^3) Log[3]-((4910474245156056329109957 (π^2) Log[3])/324652011363680000)+(480483900/343) EulerGamma (π^2) Log[3]-(4435236/49) (π^4) Log[3]-((27794190392835119603042309852085366111 Log[2] Log[3])/36696624809640632380544000000)+((172253766618793973010951 EulerGamma Log[2] Log[3])/1676921546300000)-(1153161360/343) (EulerGamma^2) Log[2] Log[3]+(480483900/343) (π^2) Log[2] Log[3]+((2543482447052759556024267 ((Log[2])^2) Log[3])/31216539554200000)-(1153161360/343) EulerGamma ((Log[2])^2) Log[3]-(384387120/343) ((Log[2])^3) Log[3]-((826224602206854109438190965371836643 ((Log[3])^2))/3336056800876421125504000000)+((14731422735468168987329871 EulerGamma ((Log[3])^2))/405815014204600000)-(576580680/343) (EulerGamma^2) ((Log[3])^2)+(240241950/343) (π^2) ((Log[3])^2)+((172253766618793973010951 Log[2] ((Log[3])^2))/3353843092600000)-(1153161360/343) EulerGamma Log[2] ((Log[3])^2)-(576580680/343) ((Log[2])^2) ((Log[3])^2)+((4910474245156056329109957 ((Log[3])^3))/405815014204600000)-(384387120/343) EulerGamma ((Log[3])^3)-(384387120/343) Log[2] ((Log[3])^3)-((96096780 ((Log[3])^4))/343)-((545920649254959573374635729758395072201107421875 Log[5])/509165269453964479002110250992337420288)+((3966706634485606038211236500869140625 EulerGamma Log[5])/14858735988922077952722806784)-((215709560504046435546875 (EulerGamma^2) Log[5])/13524075216235584)+((1078547802520232177734375 (π^2) Log[5])/162288902594827008)+((570206402896826965458748071552734375 Log[2] Log[5])/2122676569846011136103258112)-((215709560504046435546875 EulerGamma Log[2] Log[5])/6762037608117792)-((215709560504046435546875 ((Log[2])^2) Log[5])/13524075216235584)+((3966706634485606038211236500869140625 ((Log[5])^2))/29717471977844155905445613568)-((215709560504046435546875 EulerGamma ((Log[5])^2))/13524075216235584)-((215709560504046435546875 Log[2] ((Log[5])^2))/13524075216235584)-((215709560504046435546875 ((Log[5])^3))/40572225648706752)+((337232209930951509846584533856895200921803339 Log[7])/3401773453529842855848533360640000000)+((723072086752171639687136921891959 EulerGamma Log[7])/30884743822226621184000000)-((296509822907246384569 (EulerGamma^2) Log[7])/95466144881250)+((296509822907246384569 (π^2) Log[7])/229118747715000)+((723072086752171639687136921891959 Log[2] Log[7])/30884743822226621184000000)-((296509822907246384569 EulerGamma Log[2] Log[7])/47733072440625)-((296509822907246384569 ((Log[2])^2) Log[7])/95466144881250)+((723072086752171639687136921891959 ((Log[7])^2))/61769487644453242368000000)-((296509822907246384569 EulerGamma ((Log[7])^2))/95466144881250)-((296509822907246384569 Log[2] ((Log[7])^2))/95466144881250)-((296509822907246384569 ((Log[7])^3))/286398434643750)-((37709735168664935840925623070073 Log[11])/2422825370404592025600000)-((91733330193268616658399616009 Log[13])/460222715571358924800000)+(-(34125609212855126082273136013/207579234327760322527500)-((9853168309896691184 EulerGamma)/353821349660625)+((10212692193298786672 Log[2])/50545907094375)-((48048390 Log[3])/343)) ((Log[y])^3)-((1231646038737086398 ((Log[y])^4))/353821349660625)+((Log[y])^2) ((7569873327926126905824444436337845305280357/844684315807746095492089871592000000)-((31561566651535615599920874893 EulerGamma)/34596539054626720421250)-((9853168309896691184 (EulerGamma^2))/117940449886875)+((2463292077474172796 (π^2))/70764269932125)-((27938291792846540455028338897 Log[2])/3530259087206808206250)+((20425384386597573344 EulerGamma Log[2])/16848635698125)+((63487418638087571152 ((Log[2])^2))/23588089977375)+((14731422735468168987329871 Log[3])/1623260056818400000)-(288290340/343) EulerGamma Log[3]-(288290340/343) Log[2] Log[3]-((144145170 ((Log[3])^2))/343)-((215709560504046435546875 Log[5])/54096300864942336)-((296509822907246384569 Log[7])/381864579525000)-((5742551737763872 Zeta[3])/34037647875))-((18134751008330334655694758247106131 Zeta[3])/105173478726065230080600000)+((38682257056908189821881076 EulerGamma Zeta[3])/1016528737574975625)-((22970206951055488 (EulerGamma^2) Zeta[3])/34037647875)+((5742551737763872 (π^2) Zeta[3])/20422588725)+((19144699550438747781468524 Log[2] Zeta[3])/145218391082139375)-((126513120154318592 EulerGamma Log[2] Zeta[3])/4862521125)-((341290712585143936 ((Log[2])^2) Zeta[3])/6807529575)-((406796014025801357247 Log[3] Zeta[3])/2384762380000)+(532228320/49) EulerGamma Log[3] Zeta[3]+(532228320/49) Log[2] Log[3] Zeta[3]+(266114160/49) ((Log[3])^2) Zeta[3]+((35231471630615234375 Log[5] Zeta[3])/397369548576)+((694867345279787309 Log[7] Zeta[3])/28798233750)+((47667220623488 ((Zeta[3])^2))/9823275)+Log[y] (-(227154507912728238248864089315730261077353405197147107/2261316579090437336095492701016688988480000000)+((7339992610166497266031501342068126490355557 EulerGamma)/211171078951936523873022467898000000)-((30822204792997589566551295373 (EulerGamma^2))/17298269527313360210625)-((39412673239586764736 (EulerGamma^3))/353821349660625)+((32143566560940604172840031629 (π^2))/41515846865552064505500)+((9853168309896691184 EulerGamma (π^2))/70764269932125)+((2871275868881936 (π^4))/510564718125)+((866090440432315087993443884892211543849583 Log[2])/6033459398626757824943499082800000)-((55388611326822306564907596194 EulerGamma Log[2])/1765129543603404103125)+((40850768773195146688 (EulerGamma^2) Log[2])/16848635698125)-((10212692193298786672 (π^2) Log[2])/10109181418875)-((5672001171586444417298739392129 ((Log[2])^2))/86491347636566801053125)+((253949674552350284608 EulerGamma ((Log[2])^2))/23588089977375)+((605215000228137379264 ((Log[2])^3))/50545907094375)-((1546303273393798629944901244150184061 Log[3])/6672113601752842251008000000)+((14731422735468168987329871 EulerGamma Log[3])/405815014204600000)-(576580680/343) (EulerGamma^2) Log[3]+(240241950/343) (π^2) Log[3]+((172253766618793973010951 Log[2] Log[3])/3353843092600000)-(1153161360/343) EulerGamma Log[2] Log[3]-(576580680/343) ((Log[2])^2) Log[3]+((14731422735468168987329871 ((Log[3])^2))/811630028409200000)-(576580680/343) EulerGamma ((Log[3])^2)-(576580680/343) Log[2] ((Log[3])^2)-((192193560 ((Log[3])^3))/343)+((3966706634485606038211236500869140625 Log[5])/29717471977844155905445613568)-((215709560504046435546875 EulerGamma Log[5])/13524075216235584)-((215709560504046435546875 Log[2] Log[5])/13524075216235584)-((215709560504046435546875 ((Log[5])^2))/27048150432471168)+((723072086752171639687136921891959 Log[7])/61769487644453242368000000)-((296509822907246384569 EulerGamma Log[7])/95466144881250)-((296509822907246384569 Log[2] Log[7])/95466144881250)-((296509822907246384569 ((Log[7])^2))/190932289762500)+((19446351218788530056412538 Zeta[3])/1016528737574975625)-((22970206951055488 EulerGamma Zeta[3])/34037647875)-((63256560077159296 Log[2] Zeta[3])/4862521125)+(266114160/49) Log[3] Zeta[3]-((47667220623488 Zeta[5])/9823275))+((46042651834539073996 Zeta[5])/442489422375)-((95334441246976 EulerGamma Zeta[5])/9823275)-((90417455126272 Log[2] Zeta[5])/1403325)+(122821920/7) Log[3] Zeta[5]-((18179706112 Zeta[7])/567))+(y^17) ((13306330221665860302020383232420373770272446142781750224104751/5816936483256406148425738905494524408627200000000)-((147307900535967496386206092360949252800080883 EulerGamma)/42703484854724941494322321286040000000)+((102897654570825149694823338282592933 (EulerGamma^2))/15951310940119893228891000000)-((2648465267024627098474792 (EulerGamma^3))/3023010298017084375)+((974033715392 (EulerGamma^4))/40516875)-((10274390096406219176352548150482286235015450620786501 (π^2))/28061842971091745069915622338042265600000)+((662116316756156774618698 EulerGamma (π^2))/604602059603416875)-((487016857696 (EulerGamma^2) (π^2))/8103375)-((850895307522011162031270735701352670155572931271 (π^4))/270440315405614247133421382506905600000)+((187689843904 EulerGamma (π^4))/17364375)-((18719395324710027743880836746613609 (π^6))/19218970897495217720524800)+((12192731131682553465883007 (π^8))/45035996273704960)-((29781900959486448571063971089119141902612941161 Log[2])/540910808159849258928082736289840000000)+((3372506799476891897244412700552165333 EulerGamma Log[2])/50512484643712995224821500000)-((2434073610077980197912248 (EulerGamma^2) Log[2])/335890033113009375)+((61207485184 (EulerGamma^3) Log[2])/364651875)+((608975591759524742528942 (π^2) Log[2])/201534019867805625)-((15301871296 EulerGamma (π^2) Log[2])/72930375)+((35301594176 (π^4) Log[2])/5788125)+((3408249378812914234690806091664840647 ((Log[2])^2))/33674989762475330149881000000)-((263454724438586061487528 EulerGamma ((Log[2])^2))/12440371596778125)-((11657800842112 (EulerGamma^2) ((Log[2])^2))/40516875)+((2914450210528 (π^2) ((Log[2])^2))/24310125)-((21202929155342488213521592 ((Log[2])^3))/1007670099339028125)-((209962830128384 EulerGamma ((Log[2])^3))/364651875)-((40832906689984 ((Log[2])^4))/121550625)-((16875002141033284003762824985780531239458637 Log[3])/156337016025020361943006859264000000)+((606546827597182179611948140188171 EulerGamma Log[3])/13139456453579766069760000)-((2592039189551317127343 (EulerGamma^2) Log[3])/491471470490000)+((461264544 (EulerGamma^3) Log[3])/2401)+((864013063183772375781 (π^2) Log[3])/393177176392000)-((576580680 EulerGamma (π^2) Log[3])/2401)+((26611416 (π^4) Log[3])/1715)+((769469784097496307584726282523147 Log[2] Log[3])/13139456453579766069760000)-((3109261699171769520303 EulerGamma Log[2] Log[3])/245735735245000)+((1383793632 (EulerGamma^2) Log[2] Log[3])/2401)-((576580680 (π^2) Log[2] Log[3])/2401)-((376700610764788573293 ((Log[2])^2) Log[3])/44679224590000)+((1383793632 EulerGamma ((Log[2])^2) Log[3])/2401)+((461264544 ((Log[2])^3) Log[3])/2401)+((18392938146661445555883807687489 ((Log[3])^2))/772909203151750945280000)-((2592039189551317127343 EulerGamma ((Log[3])^2))/491471470490000)+((691896816 (EulerGamma^2) ((Log[3])^2))/2401)-((288290340 (π^2) ((Log[3])^2))/2401)-((3109261699171769520303 Log[2] ((Log[3])^2))/491471470490000)+((1383793632 EulerGamma Log[2] ((Log[3])^2))/2401)+((691896816 ((Log[2])^2) ((Log[3])^2))/2401)-((864013063183772375781 ((Log[3])^3))/491471470490000)+((461264544 EulerGamma ((Log[3])^3))/2401)+((461264544 Log[2] ((Log[3])^3))/2401)+((115316136 ((Log[3])^4))/2401)+((42452053169778542303097735430906841796875 Log[5])/143541993535649016169059079225344)-((6875526445201184373658759765625 EulerGamma Log[5])/100534080223833055607808)+((131847341357421875 (EulerGamma^2) Log[5])/34107950448)-((659236706787109375 (π^2) Log[5])/409295405376)-((6875526445201184373658759765625 Log[2] Log[5])/100534080223833055607808)+((131847341357421875 EulerGamma Log[2] Log[5])/17053975224)+((131847341357421875 ((Log[2])^2) Log[5])/34107950448)-((6875526445201184373658759765625 ((Log[5])^2))/201068160447666111215616)+((131847341357421875 EulerGamma ((Log[5])^2))/34107950448)+((131847341357421875 Log[2] ((Log[5])^2))/34107950448)+((131847341357421875 ((Log[5])^3))/102323851344)-((195867684658075721128791378549420640393 Log[7])/1295676772830051211911168000000)+((1202124566949979293965174089 EulerGamma Log[7])/84696952755317760000)+((1202124566949979293965174089 Log[2] Log[7])/84696952755317760000)+((1202124566949979293965174089 ((Log[7])^2))/169393905510635520000)+((9553722678037284690663401 Log[11])/7336985951232000000)+(-(334487077678301085190949/3023010298017084375)+((487016857696 EulerGamma)/40516875)+((7650935648 Log[2])/364651875)+((57658068 Log[3])/2401)) ((Log[y])^3)+((60877107212 ((Log[y])^4))/40516875)+((Log[y])^2) ((106262705918398947177361076056365733/63805243760479572915564000000)-((662116316756156774618698 EulerGamma)/1007670099339028125)+((487016857696 (EulerGamma^2))/13505625)-((121754214424 (π^2))/8103375)-((609661375619569282105262 Log[2])/335890033113009375)+((15301871296 EulerGamma Log[2])/121550625)-((2914450210528 ((Log[2])^2))/40516875)-((2592039189551317127343 Log[3])/1965885881960000)+((345948408 EulerGamma Log[3])/2401)+((345948408 Log[2] Log[3])/2401)+((172974204 ((Log[3])^2))/2401)+((131847341357421875 Log[5])/136431801792)-((187689843904 Zeta[3])/1157625))-((113241049648844195135176141103 Zeta[3])/31245834440304584100000)+((167377642312496048176 EulerGamma Zeta[3])/22370298575625)-((750759375616 (EulerGamma^2) Zeta[3])/1157625)+((187689843904 (π^2) Zeta[3])/694575)+((56686329287813041904 Log[2] Zeta[3])/1720792198125)-((282412753408 EulerGamma Log[2] Zeta[3])/385875)+((230661360896 ((Log[2])^2) Zeta[3])/1157625)+((8206249895992539 Log[3] Zeta[3])/392784392)-(638673984/343) EulerGamma Log[3] Zeta[3]-(638673984/343) Log[2] Log[3] Zeta[3]-(319336992/343) ((Log[3])^2) Zeta[3]-((852828857421875 Log[5] Zeta[3])/39752856)+((13524859648 ((Zeta[3])^2))/11025)+Log[y] (-(199159215820076855212288669574944133060544883/85406969709449882988644642572080000000)+((103127511964445011539939460005472933 EulerGamma)/15951310940119893228891000000)-((1324232633512313549237396 (EulerGamma^2))/1007670099339028125)+((1948067430784 (EulerGamma^3))/40516875)+((332429726098167466461989 (π^2))/604602059603416875)-((487016857696 EulerGamma (π^2))/8103375)+((93844921952 (π^4))/17364375)+((3384636763838457379811967226526232533 Log[2])/101024969287425990449643000000)-((2434073610077980197912248 EulerGamma Log[2])/335890033113009375)+((30603742592 (EulerGamma^2) Log[2])/121550625)-((7650935648 (π^2) Log[2])/72930375)-((131769694556332817137364 ((Log[2])^2))/12440371596778125)-((11657800842112 EulerGamma ((Log[2])^2))/40516875)-((104981415064192 ((Log[2])^3))/364651875)+((606546827597182179611948140188171 Log[3])/26278912907159532139520000)-((2592039189551317127343 EulerGamma Log[3])/491471470490000)+((691896816 (EulerGamma^2) Log[3])/2401)-((288290340 (π^2) Log[3])/2401)-((3109261699171769520303 Log[2] Log[3])/491471470490000)+((1383793632 EulerGamma Log[2] Log[3])/2401)+((691896816 ((Log[2])^2) Log[3])/2401)-((2592039189551317127343 ((Log[3])^2))/982942940980000)+((691896816 EulerGamma ((Log[3])^2))/2401)+((691896816 Log[2] ((Log[3])^2))/2401)+((230632272 ((Log[3])^3))/2401)-((6875526445201184373658759765625 Log[5])/201068160447666111215616)+((131847341357421875 EulerGamma Log[5])/34107950448)+((131847341357421875 Log[2] Log[5])/34107950448)+((131847341357421875 ((Log[5])^2))/68215900896)+((1202124566949979293965174089 Log[7])/169393905510635520000)+((83987618123785892888 Zeta[3])/22370298575625)-((750759375616 EulerGamma Zeta[3])/1157625)-((141206376704 Log[2] Zeta[3])/385875)-(319336992/343) Log[3] Zeta[3]-((13524859648 Zeta[5])/11025))+((2514138904172752 Zeta[5])/496621125)-((27049719296 EulerGamma Zeta[5])/11025)-((20934948352 Log[2] Zeta[5])/11025)-(147386304/49) Log[3] Zeta[5]-((151020032 Zeta[7])/35))+(y^16) ((5327269290080656149193964508442657716414990390417553809059/2193414963520515138923732618964752793600000000)+((132960567388587694122659598549881301044113 EulerGamma)/36805416810795036840613937760000000)-((261052162123316279251516919203 (EulerGamma^2))/859260447108376062750000)-((1214471924644771842976 (EulerGamma^3))/11073297794934375)+((160568836096 (EulerGamma^4))/17364375)-((71131104217823106292294002728893898018779397647 (π^2))/1259689137178218822717608558592000000)+((303617981161192960744 EulerGamma (π^2))/2214659558986875)-((80284418048 (EulerGamma^2) (π^2))/3472875)-((40403399816909388005546022057655727445314423 (π^4))/4643549371662332540065614397440000)+((1500643328 EulerGamma (π^4))/826875)-((18728735648396610177131652680723 (π^6))/19066439382435731865600)-((7078928060240315307227 (π^8))/844424930131968)+((4163592208201515123801284325912978459126913 Log[2])/69521342864835069587826326880000000)-((4889430841457363892668558507401 EulerGamma Log[2])/270507918534118390125000)+((33029538038016384608 (EulerGamma^2) Log[2])/45569126728125)+((1284550688768 (EulerGamma^3) Log[2])/17364375)-((8257384509504096152 (π^2) Log[2])/27341476036875)-((321137672192 EulerGamma (π^2) Log[2])/3472875)+((3001286656 (π^4) Log[2])/826875)-((11079621215922841183492964768129 ((Log[2])^2))/286420149036125354250000)+((5588100316443115136032 EulerGamma ((Log[2])^2))/1230366421659375)+((1284550688768 (EulerGamma^2) ((Log[2])^2))/5788125)-((321137672192 (π^2) ((Log[2])^2))/3472875)+((21289885252078280901664 ((Log[2])^3))/3691099264978125)+((5138202755072 EulerGamma ((Log[2])^3))/17364375)+((2569101377536 ((Log[2])^4))/17364375)-((56920286490863929435299004606597880799 Log[3])/1291721193299350259795148800000)+((371578810712019254402891661 EulerGamma Log[3])/67852270375009120000)-((85770531195579 (EulerGamma^2) Log[3])/440880440)+((28590177065193 (π^2) Log[3])/352704352)+((630436922692078607920807821 Log[2] Log[3])/67852270375009120000)-((85770531195579 EulerGamma Log[2] Log[3])/220440220)-((85770531195579 ((Log[2])^2) Log[3])/440880440)+((371578810712019254402891661 ((Log[3])^2))/135704540750018240000)-((85770531195579 EulerGamma ((Log[3])^2))/440880440)-((85770531195579 Log[2] ((Log[3])^2))/440880440)-((28590177065193 ((Log[3])^3))/440880440)-((91847013161053219234529038697265625 Log[5])/5097733984503480935047200768)+((8568229644796243076171875 EulerGamma Log[5])/1785177928543097088)-((145881103515625 (EulerGamma^2) Log[5])/437281416)+((729405517578125 (π^2) Log[5])/5247376992)+((8568229644796243076171875 Log[2] Log[5])/1785177928543097088)-((145881103515625 EulerGamma Log[2] Log[5])/218640708)-((145881103515625 ((Log[2])^2) Log[5])/437281416)+((8568229644796243076171875 ((Log[5])^2))/3570355857086194176)-((145881103515625 EulerGamma ((Log[5])^2))/437281416)-((145881103515625 Log[2] ((Log[5])^2))/437281416)-((145881103515625 ((Log[5])^3))/1311844248)+((22084358170683595248180215708533 Log[7])/1022544824703499468800000)-((909607691051383387 EulerGamma Log[7])/435173310000)-((909607691051383387 Log[2] Log[7])/435173310000)-((909607691051383387 ((Log[7])^2))/870346620000)-((81402749386839761113321 Log[11])/1711963388620800000)+(-(151808990580596480372/11073297794934375)+((80284418048 EulerGamma)/17364375)+((160568836096 Log[2])/17364375)) ((Log[y])^3)+((10035552256 ((Log[y])^4))/17364375)+((Log[y])^2) (-(228497400142761717778992119203/3437041788433504251000000)-((303617981161192960744 EulerGamma)/3691099264978125)+((80284418048 (EulerGamma^2))/5788125)-((20071104512 (π^2))/3472875)+((8257384509504096152 Log[2])/45569126728125)+((321137672192 EulerGamma Log[2])/5788125)+((321137672192 ((Log[2])^2))/5788125)-((85770531195579 Log[3])/1763521760)-((145881103515625 Log[5])/1749125664)-((1500643328 Zeta[3])/55125))+((844133372237238336058187 Zeta[3])/301193700022215000)+((492799447129984 EulerGamma Zeta[3])/9104720625)-((6002573312 (EulerGamma^2) Zeta[3])/55125)+((1500643328 (π^2) Zeta[3])/33075)-((4164595488512128 Log[2] Zeta[3])/677210625)-((24010293248 EulerGamma Log[2] Zeta[3])/55125)-((24010293248 ((Log[2])^2) Zeta[3])/55125)+((700564284099 Log[3] Zeta[3])/1101100)+((943603515625 Log[5] Zeta[3])/509652)+((56098816 ((Zeta[3])^2))/525)+Log[y] ((121778267139487738347059036022283789364113/73610833621590073681227875520000000)-((258910276241719683596676599203 EulerGamma)/859260447108376062750000)-((607235962322385921488 (EulerGamma^2))/3691099264978125)+((321137672192 (EulerGamma^3))/17364375)+((151808990580596480372 (π^2))/2214659558986875)-((80284418048 EulerGamma (π^2))/3472875)+((750321664 (π^4))/826875)-((4877808903046902953853583787401 Log[2])/541015837068236780250000)+((33029538038016384608 EulerGamma Log[2])/45569126728125)+((642275344384 (EulerGamma^2) Log[2])/5788125)-((160568836096 (π^2) Log[2])/3472875)+((2794050158221557568016 ((Log[2])^2))/1230366421659375)+((1284550688768 EulerGamma ((Log[2])^2))/5788125)+((2569101377536 ((Log[2])^3))/17364375)+((371578810712019254402891661 Log[3])/135704540750018240000)-((85770531195579 EulerGamma Log[3])/440880440)-((85770531195579 Log[2] Log[3])/440880440)-((85770531195579 ((Log[3])^2))/881760880)+((8568229644796243076171875 Log[5])/3570355857086194176)-((145881103515625 EulerGamma Log[5])/437281416)-((145881103515625 Log[2] Log[5])/437281416)-((145881103515625 ((Log[5])^2))/874562832)-((909607691051383387 Log[7])/870346620000)+((246399723564992 Zeta[3])/9104720625)-((6002573312 EulerGamma Zeta[3])/55125)-((12005146624 Log[2] Zeta[3])/55125)-((56098816 Zeta[5])/525))-((295444278592 Zeta[5])/259875)-(112197632/525) EulerGamma Zeta[5]-(224395264/525) Log[2] Zeta[5]-((1048576 Zeta[7])/5))+(y^(41/2)) (-((8677448625779267725700176870932864942204228594366334583002208431734518355661 π)/(17033026158844186411951241781185828913870632654208161464320000000000))+((2698193308910152153354775671852631047170541181916412961621539 EulerGamma π)/64061410235919702205041023585252706582527001600000000)+((12062992043407453808572035410518748806767632899 (EulerGamma^2) π)/3533978610764853659844577815123450000000)+((67719380227401761357008146464059 (EulerGamma^3) π)/44936594628479256671718750)-((29413641671409664 (EulerGamma^4) π)/191442234375)-((387227255475794573104197169647220219193959540336494679 (π^3))/2871513116305317252184752636211668556800000000)-((1732876415502238458271180693176077445659 EulerGamma (π^3))/510075069932213825780247507000000)+((661385936734907486305271581 (EulerGamma^2) (π^3))/997593398345637843750)+((1099575389585408 (EulerGamma^3) (π^3))/5469778125)+((32755898327988573406416523856029 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Log[5])/187593727464)+((563830465087890625 ((Log[5])^2))/375187454928)+((19018987212193375238783 Log[7])/1442599522650000)+((514932680819138275336 Zeta[3])/738219852995625)+((2569101377536 EulerGamma Zeta[3])/5788125)+((5138202755072 Log[2] Zeta[3])/5788125)+((24010293248 Zeta[5])/55125))-((59175947340992 Zeta[7])/1819125)+(1795162112/525) EulerGamma Zeta[7]+(3590324224/525) Log[2] Zeta[7]+Log[y] (-(2523699156445702010769437332440647454190573980265624138738011617/9288904484208356819730948419861642454466415232000000000)+((2293663048841483605645665806978595503101759636339 EulerGamma)/247203264144741498982847162208304800000000)+((101115813086301129355605316396770742147 (EulerGamma^2))/17710939928201868950703038437500)+((237668383483031978901681328 (EulerGamma^3))/498796699172818921875)-((137446923698176 (EulerGamma^4))/1823259375)-((96034039136236001723497193041451446147 (π^2))/42506255827684485481687292250000)-((59417095870757994725420332 EulerGamma (π^2))/99759339834563784375)+((68723461849088 (EulerGamma^2) (π^2))/364651875)-((587893632936208258052 (π^4))/11073297794934375)-((1284550688768 EulerGamma (π^4))/86821875)-((24010293248 (π^6))/10418625)-((27859169493861616259701446886594991673156013284209 Log[2])/43162474691938991885893948957005600000000)+((749574736497346847716548085163788526273 EulerGamma Log[2])/2951823321366978158450506406250)-((36333458953495674927993424 (EulerGamma^2) Log[2])/2052661313468390625)-((1099575389585408 (EulerGamma^3) Log[2])/1823259375)+((9083364738373918731998356 (π^2) Log[2])/1231596788081034375)+((274893847396352 EulerGamma (π^2) Log[2])/364651875)-((2569101377536 (π^4) Log[2])/86821875)+((3171347081858732723192495588991249805121 ((Log[2])^2))/5903646642733956316901012812500)-((4475881044264115790771203696 EulerGamma ((Log[2])^2))/55421855463646546875)-((1099575389585408 (EulerGamma^2) ((Log[2])^2))/607753125)+((274893847396352 (π^2) ((Log[2])^2))/364651875)-((15588912189430415333209812592 ((Log[2])^3))/166265566390939640625)-((4398301558341632 EulerGamma ((Log[2])^3))/1823259375)-((2199150779170816 ((Log[2])^4))/1823259375)+((194388859245389250830692717172012788684047663 Log[3])/198466796317477147791284681728000000)-((5563799780719305700059589604995983 EulerGamma Log[3])/54845499036147684264400000)+((59262560670091858011 (EulerGamma^2) Log[3])/27582582527500)-((19754186890030619337 (π^2) Log[3])/22066066022000)-((592936404636750424997945844783519 Log[2] Log[3])/3226205825655746133200000)+((59262560670091858011 EulerGamma Log[2] Log[3])/13791291263750)+((59262560670091858011 ((Log[2])^2) Log[3])/27582582527500)-((5563799780719305700059589604995983 ((Log[3])^2))/109690998072295368528800000)+((59262560670091858011 EulerGamma ((Log[3])^2))/27582582527500)+((59262560670091858011 Log[2] ((Log[3])^2))/27582582527500)+((19754186890030619337 ((Log[3])^3))/27582582527500)+((267699559470238185815829075281903037109375 Log[5])/816221128061782598174615027367936)-((4021207082621555407879736328125 EulerGamma Log[5])/45567559215026824719744)+((563830465087890625 (EulerGamma^2) Log[5])/93796863732)-((2819152325439453125 (π^2) Log[5])/1125562364784)-((4021207082621555407879736328125 Log[2] Log[5])/45567559215026824719744)+((563830465087890625 EulerGamma Log[2] Log[5])/46898431866)+((563830465087890625 ((Log[2])^2) Log[5])/93796863732)-((4021207082621555407879736328125 ((Log[5])^2))/91135118430053649439488)+((563830465087890625 EulerGamma ((Log[5])^2))/93796863732)+((563830465087890625 Log[2] ((Log[5])^2))/93796863732)+((563830465087890625 ((Log[5])^3))/281390591196)-((146658515914196221945092993229944161419 Log[7])/266636641145552644135403520000)+((19018987212193375238783 EulerGamma Log[7])/360649880662500)+((19018987212193375238783 Log[2] Log[7])/360649880662500)+((19018987212193375238783 ((Log[7])^2))/721299761325000)+((785292323334843175460207687 Log[11])/413439158351923200000)-((7077525137086462973758584073909 Zeta[3])/1095557070063179480006250)+((2059730723276553101344 EulerGamma Zeta[3])/738219852995625)+((5138202755072 (EulerGamma^2) Zeta[3])/5788125)-((1284550688768 (π^2) Zeta[3])/3472875)+((8255145132548177258272 Log[2] Zeta[3])/82024428110625)+((20552811020288 EulerGamma Log[2] Zeta[3])/5788125)+((20552811020288 ((Log[2])^2) Zeta[3])/5788125)-((771934780760211 Log[3] Zeta[3])/110220110)-((3647027587890625 Log[5] Zeta[3])/109320354)-((48020586496 ((Zeta[3])^2))/55125)+((71452815509485216 Zeta[5])/9104720625)+((96041172992 EulerGamma Zeta[5])/55125)+((192082345984 Log[2] Zeta[5])/55125)+((897581056 Zeta[7])/525))+((16777216 Zeta[9])/5))+(y^20) (-((3992101062762231098143834631558301208131995023581474018021111967769291137344423071144484643)/(100568624960820383617179260163055595423270599951599481780174848000000000000))+((18041541004387456974922305613417253117169745881155522825494209976172809 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Log[3])/545783689873062156426032874752000000)+((3280479245591677223066464011309 EulerGamma (π^2) Log[3])/6905754096719678200000)-((37477744200 (EulerGamma^2) (π^2) Log[3])/2401)-((7358390533429416369072801 (π^4) Log[3])/156082697771000000)+(691896816/343) EulerGamma (π^4) Log[3]+(177409440/343) (π^6) Log[3]-((14700042131497040136614456794154908456138341724309689579189 Log[2] Log[3])/94161414491097861141298823614412062105600000000)+((10587814475653181596354266937058595311842337463 EulerGamma Log[2] Log[3])/341114806170663847766270546720000000)-((15457829062783563492722920737927 (EulerGamma^2) Log[2] Log[3])/8632192620899597750000)+((59964390720 (EulerGamma^3) Log[2] Log[3])/2401)+((5152609687594521164240973579309 (π^2) Log[2] Log[3])/6905754096719678200000)-((74955488400 EulerGamma (π^2) Log[2] Log[3])/2401)+(691896816/343) (π^4) Log[2] Log[3]+((19348865673633558087517441672104931077203796663 ((Log[2])^2) Log[3])/682229612341327695532541093440000000)-((26690611714800627139769978145927 EulerGamma ((Log[2])^2) Log[3])/8632192620899597750000)+((89946586080 (EulerGamma^2) ((Log[2])^2) Log[3])/2401)-((37477744200 (π^2) ((Log[2])^2) Log[3])/2401)-((16385392339611584811288030987309 ((Log[2])^3) Log[3])/8632192620899597750000)+((59964390720 EulerGamma ((Log[2])^3) Log[3])/2401)+((14991097680 ((Log[2])^4) Log[3])/2401)-((1369147770890107387008181291361805238455115021446365721909 ((Log[3])^2))/23540353622774465285324705903603015526400000000)+((3457001117932039510010078262140206374598065069 EulerGamma ((Log[3])^2))/341114806170663847766270546720000000)-((9841437736775031669199392033927 (EulerGamma^2) ((Log[3])^2))/17264385241799195500000)+((29982195360 (EulerGamma^3) ((Log[3])^2))/2401)+((3280479245591677223066464011309 (π^2) ((Log[3])^2))/13811508193439356400000)-((37477744200 EulerGamma (π^2) ((Log[3])^2))/2401)+(345948408/343) (π^4) ((Log[3])^2)+((5647263917427133632800871945901790315938429869 Log[2] 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((Log[3])^4))/2401)+((14991097680 Log[2] ((Log[3])^4))/2401)+((2998219536 ((Log[3])^5))/2401)-((1515481064064891463239201306609618730735528853730368925687570133673828125 Log[5])/17124694808717238760641015736953665374934372786310809024200704)+((2652342286367296276271937429513743113829514621199677734375 EulerGamma Log[5])/67380199705993086541236065043246672066401009664)-((813070287490733429299526876540718103173828125 (EulerGamma^2) Log[5])/165743902817045728841832763994901504)+((297247154585647603523193359375 (EulerGamma^3) Log[5])/1553439518694096297264)+((4065351437453667146497634382703590515869140625 (π^2) Log[5])/1988926833804548746101993167938818048)-((1486235772928238017615966796875 EulerGamma (π^2) Log[5])/6213758074776385189056)+((1078547802520232177734375 (π^4) Log[5])/40572225648706752)+((2593700612383034400631410494223227553893514621199677734375 Log[2] Log[5])/67380199705993086541236065043246672066401009664)-((39193935099366583497800556025748481103515625 EulerGamma Log[2] Log[5])/3946283400405850686710303904640512)+((297247154585647603523193359375 (EulerGamma^2) Log[2] Log[5])/517813172898032099088)-((1486235772928238017615966796875 (π^2) Log[2] Log[5])/6213758074776385189056)-((843077336278627901762381276540718103173828125 ((Log[2])^2) Log[5])/165743902817045728841832763994901504)+((297247154585647603523193359375 EulerGamma ((Log[2])^2) Log[5])/517813172898032099088)+((297247154585647603523193359375 ((Log[2])^3) Log[5])/1553439518694096297264)+((2652342286367296276271937429513743113829514621199677734375 ((Log[5])^2))/134760399411986173082472130086493344132802019328)-((813070287490733429299526876540718103173828125 EulerGamma ((Log[5])^2))/165743902817045728841832763994901504)+((297247154585647603523193359375 (EulerGamma^2) ((Log[5])^2))/1035626345796064198176)-((1486235772928238017615966796875 (π^2) ((Log[5])^2))/12427516149552770378112)-((39193935099366583497800556025748481103515625 Log[2] 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Log[7])/474705405422015625)+((483480536154326779625590865493816156149 (π^2) Log[7])/1909906942558526576451072000000)-((6199723887167614654953221 EulerGamma (π^2) Log[7])/94941081084403125)+((14528981322455072843881 (π^4) Log[7])/1431992173218750)-((1551809757026471894812966710854413428934990474816638473 Log[2] Log[7])/321551746981593661277636525485155532800000000)-((483480536154326779625590865493816156149 EulerGamma Log[2] Log[7])/397897279699693036760640000000)+((24798895548670458619812884 (EulerGamma^2) Log[2] Log[7])/158235135140671875)-((6199723887167614654953221 (π^2) Log[2] Log[7])/94941081084403125)-((483480536154326779625590865493816156149 ((Log[2])^2) Log[7])/795794559399386073521280000000)+((24798895548670458619812884 EulerGamma ((Log[2])^2) Log[7])/158235135140671875)+((24798895548670458619812884 ((Log[2])^3) Log[7])/474705405422015625)-((1551809757026471894812966710854413428934990474816638473 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Log[11])/81443855116757706383612197318680576000000000)+((30854045786494983541410663806199187586831 EulerGamma Log[11])/24816076566881769367511040000000)+((30854045786494983541410663806199187586831 Log[2] Log[11])/24816076566881769367511040000000)+((30854045786494983541410663806199187586831 ((Log[11])^2))/49632153133763538735022080000000)+((126605367322224672718500607358369869262915121344777 Log[13])/269688928214238971643990236475555840000000)+((2381488985147446557068712431209649 EulerGamma Log[13])/126124035202330913341440000)+((2381488985147446557068712431209649 Log[2] Log[13])/126124035202330913341440000)+((2381488985147446557068712431209649 ((Log[13])^2))/252248070404661826682880000)+((3439253654936016249055757238054355817/2724975640714240857947503500000)-((6182459309652957494624 EulerGamma)/245198195314813125)-((151924854577226502258208 Log[2])/175141568082009375)+((936943605 Log[3])/2401)) ((Log[y])^4)-((3091229654826478747312 ((Log[y])^5))/1225990976574065625)+((17673303622443910497928260788449696600183849567677962857 Zeta[3])/13567899474542624016572956206100133930880000000)+((144575169136724135583400295889641655675862697 EulerGamma Zeta[3])/39594577303488098226191712730875000)-((4268461480117552866952491680242 (EulerGamma^2) Zeta[3])/6433240733298357103125)+((1359025074708509710336 (EulerGamma^3) Zeta[3])/70764269932125)+((2142027715127379558403448840441 (π^2) Zeta[3])/7719888879958028523750)-((339756268677127427584 EulerGamma (π^2) Zeta[3])/14152853986425)+((342326897593439744 (π^4) Zeta[3])/102112943625)+((10089817790281907142340427017584325365223259 Log[2] Zeta[3])/435105245093275804683425414625000)-((28099206655821294964362282648532 EulerGamma Log[2] Zeta[3])/10109378295183132590625)+((7025766256967299991552 (EulerGamma^2) Log[2] Zeta[3])/16848635698125)-((1756441564241824997888 (π^2) Log[2] Zeta[3])/10109181418875)-((407516586340695714892244683705702 ((Log[2])^2) Zeta[3])/70765648066281928134375)+((16052920141004510799872 EulerGamma ((Log[2])^2) Zeta[3])/10721859080625)+((559279479761070904752128 ((Log[2])^3) Zeta[3])/353821349660625)-((5689874135826438182861365312208708337 Log[3] Zeta[3])/96570065288527979948800000)+((23232428170478185752218403 EulerGamma Log[3] Zeta[3])/3902067444275000)-(41513808960/343) (EulerGamma^2) Log[3] Zeta[3]+(17297420400/343) (π^2) Log[3] Zeta[3]+((522027755130828877670666439 Log[2] Log[3] Zeta[3])/50726876775575000)-(83027617920/343) EulerGamma Log[2] Log[3] Zeta[3]-(41513808960/343) ((Log[2])^2) Log[3] Zeta[3]+((23232428170478185752218403 ((Log[3])^2) Zeta[3])/7804134888550000)-(41513808960/343) EulerGamma ((Log[3])^2) Zeta[3]-(41513808960/343) Log[2] ((Log[3])^2) Zeta[3]-(13837936320/343) ((Log[3])^3) Zeta[3]+((103510817266074684063750411580322265625 Log[5] Zeta[3])/3714683997230519488180701696)-((5392739012601160888671875 EulerGamma Log[5] Zeta[3])/1690509402029448)-((5392739012601160888671875 Log[2] Log[5] Zeta[3])/1690509402029448)-((5392739012601160888671875 ((Log[5])^2) Zeta[3])/3381018804058896)+((188934821154709654731363198487981 Log[7] Zeta[3])/39595825413111052800000)-((58115925289820291375524 EulerGamma Log[7] Zeta[3])/47733072440625)-((58115925289820291375524 Log[2] Log[7] Zeta[3])/47733072440625)-((29057962644910145687762 ((Log[7])^2) Zeta[3])/47733072440625)+((1490002781622193136449845866 ((Zeta[3])^2))/1016528737574975625)-((1369307590373758976 EulerGamma ((Zeta[3])^2))/6807529575)-((4845149671321864192 Log[2] ((Zeta[3])^2))/4862521125)+(9580109760/49) Log[3] ((Zeta[3])^2)+((Log[y])^3) (-(9884118975414201704460360696791489324869971483390341/211998429289728500258952440720314592670000000)+((3244184096231332771911922901734867817 EulerGamma)/340621955089280107243437937500)-((24729837238611829978496 (EulerGamma^2))/245198195314813125)+((6182459309652957494624 (π^2))/147118917188887875)+((12433634584138145843439954965298941801 Log[2])/340621955089280107243437937500)-((1215398836617812018065664 EulerGamma Log[2])/175141568082009375)-((1518204391422590743745152 ((Log[2])^2))/111453725143096875)-((3280479245591677223066464011309 Log[3])/69057540967196782000000)+((7495548840 EulerGamma Log[3])/2401)+((7495548840 Log[2] Log[3])/2401)+((3747774420 ((Log[3])^2))/2401)+((297247154585647603523193359375 Log[5])/12427516149552770378112)+((6199723887167614654953221 Log[7])/949410810844031250)+((169878134338563713792 Zeta[3])/70764269932125))-((11821444745094354078461555399015851 Zeta[5])/39440054522274461280225000)-((309051711255062667718372148 EulerGamma Zeta[5])/112947637508330625)+((1369307590373758976 (EulerGamma^2) Zeta[5])/6807529575)-((342326897593439744 (π^2) Zeta[5])/4084517745)-((47270908866007228159964 Log[2] Zeta[5])/1241182829761875)+((9690299342643728384 EulerGamma Log[2] Zeta[5])/4862521125)+((10471951360663693312 ((Log[2])^2) Zeta[5])/3094331625)+((9968410615636066997943 Log[3] Zeta[5])/596190595000)-(19160219520/49) EulerGamma Log[3] Zeta[5]-(19160219520/49) Log[2] Log[3] Zeta[5]-(9580109760/49) ((Log[3])^2) Zeta[5]-((880786790765380859375 Log[5] Zeta[5])/99342387144)-((68096999837419156282 Log[7] Zeta[5])/14399116875)-((2206629449609216 Zeta[3] Zeta[5])/1964655)+((Log[y])^2) ((2147975626836135019895338557135734176261551763929126138935317759/4681607860041011837144398003610267797051073276928000000)-((9480762619043152516304589859802166951299093610750341 EulerGamma)/35333071548288083376492073453385765445000000)+((3184839457476497750443421613367968617 (EulerGamma^2))/113540651696426702414479312500)-((49459674477223659956992 (EulerGamma^3))/245198195314813125)-((3286605136460305149888355863242523497 (π^2))/272497564071424085794750350000)+((12364918619305914989248 EulerGamma (π^2))/49039639062962625)-((42469533584640928448 (π^4))/353821349660625)-((5622708984495170295587329422928595864784600978494051 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Log[5])/(172605578516963432138881371349731236694377413416817094921946831519744))+((952136787856970508802422855510381942652478700612379150390625 (EulerGamma^3) Log[5])/7540769748465217493453597372046809648734383664128)-((883183921779172443208127875115714111328125 (EulerGamma^4) Log[5])/89068786861907144192263011256608)+((3369050539735021972656250 (EulerGamma^5) Log[5])/12946851448575759)+((246319971259491131355892151404083450082379575632287386139887010962751981201171875 (π^2) Log[5])/(2071266942203561185666576456196774840332528961001805139063361978236928))-((4760683939284852544012114277551909713262393503061895751953125 EulerGamma (π^2) Log[5])/30163078993860869973814389488187238594937534656512)+((4415919608895862216040639375578570556640625 (EulerGamma^2) (π^2) Log[5])/178137573723814288384526022513216)-((42113131746687774658203125 (EulerGamma^3) (π^2) Log[5])/38840554345727277)+((7002490976695424418776373238891032677263448974609375 (π^4) 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Zeta[3])/9116296875)+((657689952649216 (π^6) Zeta[3])/1093955625)-((160155492505240689888612630868282128056424942520583700887303197 Log[2] Zeta[3])/69511078815017037982900416216637051413332250000000)+((13803195928776940170435374649721234413576914368 EulerGamma Log[2] Zeta[3])/54456031354241458022752986549609375)+((35199978830264435513278888729695488 (EulerGamma^2) Log[2] Zeta[3])/832159159786652901328125)+((30119569071523495936 (EulerGamma^3) Log[2] Zeta[3])/191442234375)-((8799994707566108878319722182423872 (π^2) Log[2] Zeta[3])/499295495871991740796875)-((7529892267880873984 EulerGamma (π^2) Log[2] Zeta[3])/38288446875)+((70372824933466112 (π^4) Log[2] Zeta[3])/9116296875)+((86109703460278813507413711313433728633076762336 ((Log[2])^2) Zeta[3])/303397888973630980412480925062109375)+((442017104749239468870239288059920128 EulerGamma ((Log[2])^2) Zeta[3])/2496477479359958703984375)+((30119569071523495936 (EulerGamma^2) ((Log[2])^2) Zeta[3])/63814078125)-((7529892267880873984 (π^2) ((Log[2])^2) Zeta[3])/38288446875)+((1459774218796132542461384359624998656 ((Log[2])^3) Zeta[3])/7489432438079876111953125)+((120478276286093983744 EulerGamma ((Log[2])^3) Zeta[3])/191442234375)+((60239138143046991872 ((Log[2])^4) Zeta[3])/191442234375)-((65805364103772166324044276882100712985629728571906638137 Log[3] Zeta[3])/7972410401801696987024992762919740480000000)+((225501824667928559432656731982547284340289 EulerGamma Log[3] Zeta[3])/426269502040009079793716375000)-((59105735058585765021490476 (EulerGamma^2) Log[3] Zeta[3])/34512706387534375)+((4925477921548813751790873 (π^2) Log[3] Zeta[3])/6902541277506875)+((443718515285621745620665554479508789866049 Log[2] Log[3] Zeta[3])/426269502040009079793716375000)-((118211470117171530042980952 EulerGamma Log[2] Log[3] Zeta[3])/34512706387534375)-((59105735058585765021490476 ((Log[2])^2) Log[3] Zeta[3])/34512706387534375)+((225501824667928559432656731982547284340289 ((Log[3])^2) Zeta[3])/852539004080018159587432750000)-((59105735058585765021490476 EulerGamma ((Log[3])^2) Zeta[3])/34512706387534375)-((59105735058585765021490476 Log[2] ((Log[3])^2) Zeta[3])/34512706387534375)-((19701911686195255007163492 ((Log[3])^3) Zeta[3])/34512706387534375)-((553183828945191107052115973103233584354130953369140625 Log[5] Zeta[3])/713577390542129793428471440660013440072704)+((3727480256031034312877917376708984375 EulerGamma Log[5] Zeta[3])/11183987814838146292152168)-((217920474756469726562500 (EulerGamma^2) Log[5] Zeta[3])/10059713635257)+((272400593445587158203125 (π^2) Log[5] Zeta[3])/30179140905771)+((3727480256031034312877917376708984375 Log[2] Log[5] Zeta[3])/11183987814838146292152168)-((435840949512939453125000 EulerGamma Log[2] Log[5] Zeta[3])/10059713635257)-((217920474756469726562500 ((Log[2])^2) Log[5] Zeta[3])/10059713635257)+((3727480256031034312877917376708984375 ((Log[5])^2) Zeta[3])/22367975629676292584304336)-((217920474756469726562500 EulerGamma ((Log[5])^2) Zeta[3])/10059713635257)-((217920474756469726562500 Log[2] ((Log[5])^2) Zeta[3])/10059713635257)-((217920474756469726562500 ((Log[5])^3) Zeta[3])/30179140905771)+((22179967768194945605250950866402010921111411480201 Log[7] Zeta[3])/3983352691092952708677846420864000000)-((155885857418942502884143788824 EulerGamma Log[7] Zeta[3])/298888588599046875)-((155885857418942502884143788824 Log[2] Log[7] Zeta[3])/298888588599046875)-((77942928709471251442071894412 ((Log[7])^2) Zeta[3])/298888588599046875)-((916661520228559085753419450335169 Log[11] Zeta[3])/12480694592748681600000)-((685573347377965299126229233528564026821168 ((Zeta[3])^2))/3622692258041291376280166953125)+((460023496013508786146789099264 EulerGamma ((Zeta[3])^2))/33253113278187928125)-((70372824933466112 (EulerGamma^2) ((Zeta[3])^2))/607753125)+((17593206233366528 (π^2) ((Zeta[3])^2))/364651875)-((317816400701383039407086334208 Log[2] ((Zeta[3])^2))/3694790364243103125)-((281491299733864448 EulerGamma Log[2] ((Zeta[3])^2))/607753125)-((281491299733864448 ((Log[2])^2) ((Zeta[3])^2))/607753125)+((19201069657109761995564 Log[3] ((Zeta[3])^2))/6895645631875)+((1409576162719726562500 Log[5] ((Zeta[3])^2))/23449215933)+((1315379905298432 ((Zeta[3])^3))/17364375)-((129158897603170481789031134109892432268481825364059953 Zeta[5])/115399671919420221361591460753105250000000)+((24669112114528636088000743486981740044085472 EulerGamma Zeta[5])/66416024730757008565136394140625)-((446944231588192808785931470592 (EulerGamma^2) Zeta[5])/33253113278187928125)+((140745649866932224 (EulerGamma^3) Zeta[5])/1823259375)+((111736057897048202196482867648 (π^2) Zeta[5])/19951867966912756875)-((35186412466733056 EulerGamma (π^2) Zeta[5])/364651875)+((328844976324608 (π^4) Zeta[5])/86821875)+((5542070200493486077169344614838325883431072 Log[2] Zeta[5])/2459852767805815132042088671875)+((641445807814017624307887170048 EulerGamma Log[2] Zeta[5])/3694790364243103125)+((281491299733864448 (EulerGamma^2) Log[2] Zeta[5])/607753125)-((70372824933466112 (π^2) Log[2] Zeta[5])/364651875)+((4310398145632508763983055835904 ((Log[2])^2) Zeta[5])/11084371092729309375)+((562982599467728896 EulerGamma ((Log[2])^2) Zeta[5])/607753125)+((1125965198935457792 ((Log[2])^3) Zeta[5])/1823259375)+((1186376406686128135102291646380265043 Log[3] Zeta[5])/685568737951846053305000)-((38402139314219523991128 EulerGamma Log[3] Zeta[5])/6895645631875)-((38402139314219523991128 Log[2] Log[3] Zeta[5])/6895645631875)-((19201069657109761995564 ((Log[3])^2) Zeta[5])/6895645631875)+((2451559677552688984910186767578125 Log[5] Zeta[5])/2847972450939176544984)-((2819152325439453125000 EulerGamma Log[5] Zeta[5])/23449215933)-((2819152325439453125000 Log[2] Log[5] Zeta[5])/23449215933)-((1409576162719726562500 ((Log[5])^2) Zeta[5])/23449215933)-((182658353185905175793271932 Log[7] Zeta[5])/90162470165625)+((447982668513330888739460608 Zeta[3] Zeta[5])/3691099264978125)-((2630759810596864 EulerGamma Zeta[3] Zeta[5])/5788125)-((5261519621193728 Log[2] Zeta[3] Zeta[5])/5788125)-((12293270142976 ((Zeta[5])^2))/55125)+((787784303431183224214146108521408 Zeta[7])/751410884816995528125)-((445703207140380802276988416 EulerGamma Zeta[7])/3691099264978125)+((1315379905298432 (EulerGamma^2) Zeta[7])/5788125)-((328844976324608 (π^2) Zeta[7])/3472875)+((4041878072647144539871744 Log[2] Zeta[7])/12427943653125)+((5261519621193728 EulerGamma Log[2] Zeta[7])/5788125)+((5261519621193728 ((Log[2])^2) Zeta[7])/5788125)-((500213737932616728 Log[3] Zeta[7])/55110055)-((18235137939453125000 Log[5] Zeta[7])/54660177)-((24586540285952 Zeta[3] Zeta[7])/55125)-((12232422637427111113216 Zeta[9])/27314161875)+((24586540285952 EulerGamma Zeta[9])/55125)+((49173080571904 Log[2] Zeta[9])/55125)+((229780750336 Zeta[11])/525))+((4294967296 Zeta[13])/5));

(Subscript[Δλ, 3])

The third electric-type tidal invariant up to order (y^25.5).

Δλ3=-(y^3)-((y^4)/2)+((61 (y^5))/8)+(-(1039/48)+((1123 (π^2))/1024)) (y^6)-(54784/525) π (y^(17/2))+((376087 π (y^(19/2)))/2205)+((3093926951 π (y^(21/2)))/2182950)+(y^7) ((1229711/9600)-((512 EulerGamma)/5)+((1139 (π^2))/1024)-((1024 Log[2])/5)-((256 Log[y])/5))+(y^8) (-(431650697/403200)+((14512 EulerGamma)/105)+((30981749 (π^2))/196608)+((62128 Log[2])/105)-((2187 Log[3])/7)+((7256 Log[y])/105))+(y^9) (-(165133169609/14515200)+((848360 EulerGamma)/567)+((14942182769 (π^2))/14155776)-((33612139 (π^4))/2097152)-((894008 Log[2])/2835)+((33291 Log[3])/14)+((424180 Log[y])/567))+(y^(27/2)) (((459787882287862634382511 π)/4448399261866560000)-((291464208472834 EulerGamma π)/11345882625)+((86968683554 (π^3))/9823275)+((754663492020986 π Log[2])/34037647875)-(16878537/343) π Log[3]-((145732104236417 π Log[y])/11345882625))+(y^(25/2)) (-((2772444986000367347 π)/136352296080000)-((58627948 EulerGamma π)/55125)-((4812988 (π^3))/4725)-((368654676 π Log[2])/42875)+(2217618/343) π Log[3]-((29313974 π Log[y])/55125))+(y^(23/2)) (-((8576539777810427 π)/1048863816000)+((93790208 EulerGamma π)/55125)-((876544 (π^3))/1575)+((187580416 π Log[2])/55125)+((46895104 π Log[y])/55125))+(y^11) ((195654753392517961067/155335864320000)-((12929040365414 EulerGamma)/496621125)-((2313488 (EulerGamma^2))/11025)+((2316722872897469 (π^2))/123312537600)-((3620507818748053 (π^4))/257698037760)-((3889472783186 Log[2])/55180125)-((86145568 EulerGamma Log[2])/11025)-((17798768 ((Log[2])^2))/1575)-((43394903120133 Log[3])/784784000)+(341172/49) EulerGamma Log[3]+(341172/49) Log[2] Log[3]+((170586 ((Log[3])^2))/49)+((16724609375 Log[5])/494208)+(-(6489947184307/496621125)-((2313488 EulerGamma)/11025)-((43072784 Log[2])/11025)+((170586 Log[3])/49)) Log[y]-((578372 ((Log[y])^2))/11025)-((84064 Zeta[3])/21))+(y^10) (-(26765202393708937/391184640000)-((38522675552 EulerGamma)/5457375)+((438272 (EulerGamma^2))/525)+((395362037005919 (π^2))/79272345600)+((109519423171 (π^4))/536870912)+((14706174496 Log[2])/5457375)+(1753088/525) EulerGamma Log[2]+((1753088 ((Log[2])^2))/525)-((112748841 Log[3])/24640)-((48828125 Log[5])/19008)+(-(19261337776/5457375)+((438272 EulerGamma)/525)+((876544 Log[2])/525)) Log[y]+((109568 ((Log[y])^2))/525)-((8192 Zeta[3])/5))+(y^12) ((895947046032111170223105769/33493829736407040000)+((336665071377836141 EulerGamma)/3539915379000)-((132146874856 (EulerGamma^2))/9823275)+((30145651479528925511 (π^2))/390654119116800)-((115919631551153810401 (π^4))/395824185999360)+((3602804277127 (π^6))/3221225472)-((500132500098693811 Log[2])/3539915379000)+((255763898416 EulerGamma Log[2])/9823275)+((911509660696 ((Log[2])^2))/9823275)+((1361591585894889 Log[3])/3139136000)-(2596698/49) EulerGamma Log[3]-(2596698/49) Log[2] Log[3]-((1298349 ((Log[3])^2))/49)-((20251009765625 Log[5])/124540416)-((4747561509943 Log[7])/277992000)+((335124500204895341/7079830758000)-((132146874856 EulerGamma)/9823275)+((127881949208 Log[2])/9823275)-((1298349 Log[3])/49)) Log[y]-((33036718714 ((Log[y])^2))/9823275)+((76691344 Zeta[3])/2835))+(y^(33/2)) (-((184405354583310507941430866075747195124206759 π)/36039864141130500074329167854592000000)-((2559641010288104242465386080321 EulerGamma π)/3690297499160183511600000)+((7948921265465198132 (EulerGamma^2) π)/39313483295625)-((1642420184889440315234959 (π^3))/1606366400118480000)-((2578053138003944 EulerGamma (π^3))/34037647875)+((1837429381016 (π^5))/147349125)+((10814664655198829176863193679833 π Log[2])/2214178499496110106960000)-((117221516938152843976 EulerGamma π Log[2])/117940449886875)+((97831903816423496 (π^3) Log[2])/102112943625)-((306790023511390408036 π ((Log[2])^2))/117940449886875)-((129458466531288964410755643 π Log[3])/11362820397728800000)+((2633051772 EulerGamma π Log[3])/2401)-(202542444/343) (π^3) Log[3]+((2633051772 π Log[2] Log[3])/2401)+((1316525886 π ((Log[3])^2))/2401)+((855983155927527080078125 π Log[5])/162288902594827008)+((296509822907246384569 π Log[7])/381864579525000)+(-((2480775745377381465572630931521 π)/7380594998320367023200000)+((7948921265465198132 EulerGamma π)/39313483295625)-((1289026569001972 (π^3))/34037647875)-((58610758469076421988 π Log[2])/117940449886875)+((1316525886 π Log[3])/2401)) Log[y]+((1987230316366299533 π ((Log[y])^2))/39313483295625)-((2578053138003944 π Zeta[3])/11345882625))+(y^(29/2)) (((12306435003814969601235891809399 π)/103875040717101461808000000)+((673907554336490184031 EulerGamma π)/6561954248850000)-((80284418048 (EulerGamma^2) π)/5788125)+((18873449053136929 (π^3))/3933239310000)+((1500643328 EulerGamma (π^3))/165375)+((14024704 (π^5))/23625)-((40135482632184728921851 π Log[2])/177172764718950000)-((321137672192 EulerGamma π Log[2])/5788125)+((3001286656 (π^3) Log[2])/165375)-((321137672192 π ((Log[2])^2))/5788125)+((29046103665558867 π Log[3])/308616308000)+((145881103515625 π Log[5])/1749125664)+(((673907554336490184031 π)/13123908497700000)-((80284418048 EulerGamma π)/5788125)+((750321664 (π^3))/165375)-((160568836096 π Log[2])/5788125)) Log[y]-((20071104512 π ((Log[y])^2))/5788125)+((1500643328 π Zeta[3])/55125))+(y^(31/2)) (-((15968906809329459860858879418922575689 π)/9127903107381548313567744000000)+((17429771806026061957846879 EulerGamma π)/32245443178848900000)-((258366416648 (EulerGamma^2) π)/24310125)-((72458812852556068207 (π^3))/238616518140000)+((8660541616 EulerGamma (π^3))/231525)+((568239632 (π^5))/99225)+((63856957049461045127565151 π Log[2])/32245443178848900000)+((12349237590448 EulerGamma π Log[2])/121550625)-((1072411696 (π^3) Log[2])/385875)+((21107520552152 π ((Log[2])^2))/121550625)+((2618534544249464439579 π Log[3])/1965885881960000)-((345948408 EulerGamma π Log[3])/2401)+(26611416/343) (π^3) Log[3]-((345948408 π Log[2] Log[3])/2401)-((172974204 π ((Log[3])^2))/2401)-((49967195576171875 π Log[5])/45477267264)+(((17429771806026061957846879 π)/64490886357697800000)-((258366416648 EulerGamma π)/24310125)+((4330270808 (π^3))/231525)+((6174618795224 π Log[2])/121550625)-((172974204 π Log[3])/2401)) Log[y]-((64591604162 π ((Log[y])^2))/24310125)+((8660541616 π Zeta[3])/77175))+(y^13) ((45276263030368930088834341924361431/148190770162354035916800000)+((775637589553645457793509 EulerGamma)/3011937000222150000)+((1965868177855822 (EulerGamma^2))/49165491375)-((750321664 (EulerGamma^3))/165375)-((588107630051246452676163101 (π^2))/469253727883100160000)+((187580416 EulerGamma (π^2))/33075)-((34807846648736724821724433 (π^4))/13299692649578496000)-((4209796222167113 (π^6))/103079215104)+((9866911142625146186198093 Log[2])/3011937000222150000)-((15478057442549092 EulerGamma Log[2])/49165491375)-((1500643328 (EulerGamma^2) Log[2])/55125)+((375160832 (π^2) Log[2])/33075)-((40943124194318002 ((Log[2])^2))/49165491375)-((3001286656 EulerGamma ((Log[2])^2))/55125)-((6002573312 ((Log[2])^3))/165375)-((1600671398946305643 Log[3])/1410817408000)+((125318296665 EulerGamma Log[3])/1233232)+((125318296665 Log[2] Log[3])/1233232)+((125318296665 ((Log[3])^2))/2466464)-((75139342117568359375 Log[5])/139874081098752)+((188720703125 EulerGamma Log[5])/2038608)+((188720703125 Log[2] Log[5])/2038608)+((188720703125 ((Log[5])^2))/4077216)+((1488118310841113 Log[7])/4725864000)+((982934088927911/98330982750)-((187580416 EulerGamma)/55125)-((375160832 Log[2])/55125)) ((Log[y])^2)-((93790208 ((Log[y])^3))/165375)+((152706897076 Zeta[3])/5457375)+(14024704/525) EulerGamma Zeta[3]+(28049408/525) Log[2] Zeta[3]+Log[y] ((768114287259147708033509/6023874000444300000)+((1965868177855822 EulerGamma)/49165491375)-((375160832 (EulerGamma^2))/55125)+((93790208 (π^2))/33075)-((7739028721274546 Log[2])/49165491375)-((1500643328 EulerGamma Log[2])/55125)-((1500643328 ((Log[2])^2))/55125)+((125318296665 Log[3])/2466464)+((188720703125 Log[5])/4077216)+((7012352 Zeta[3])/525))+((131072 Zeta[5])/5))+(y^14) (-(20914536055020733601868714521492257200697/7686655248321303843004416000000)-((19314822847000337237144880769 EulerGamma)/10415278146768194700000)+((7162313664943370257 (EulerGamma^2))/22370298575625)-((247666432 (EulerGamma^3))/42875)+((336606486091214661953625961098949 (π^2))/3513771914388653998080000)+((61916608 EulerGamma (π^2))/8575)+((455832122014651213374859602497 (π^4))/142998295368267988992000)+((633213274864988114929 (π^6))/415615395299328)-((5166282262717961603753629417 Log[2])/416611125870727788000)+((52416241905436677218 EulerGamma Log[2])/22370298575625)+((3314595584 (EulerGamma^2) Log[2])/77175)-((828648896 (π^2) Log[2])/46305)+((85780419656473843313 ((Log[2])^2))/22370298575625)+((21030973696 EulerGamma ((Log[2])^2))/128625)+((156132807424 ((Log[2])^3))/1157625)-((921591365191051244333481657 Log[3])/162555171807508480000)+((55342172390906997 EulerGamma Log[3])/39278439200)-(26611416/343) (EulerGamma^2) Log[3]+(11088090/343) (π^2) Log[3]+((334116245930167881 Log[2] Log[3])/196392196000)-(53222832/343) EulerGamma Log[2] Log[3]-(26611416/343) ((Log[2])^2) Log[3]+((55342172390906997 ((Log[3])^2))/78556878400)-(26611416/343) EulerGamma ((Log[3])^2)-(26611416/343) Log[2] ((Log[3])^2)-((8870472 ((Log[3])^3))/343)+((210377839241874220703125 Log[5])/19742227446509568)-((64640615234375 EulerGamma Log[5])/53003808)-((64640615234375 Log[2] Log[5])/53003808)-((64640615234375 ((Log[5])^2))/106007616)-((1400878031194209247393 Log[7])/597651664896000)+((7199663285885603857/89481194302500)-((185749824 EulerGamma)/42875)+((828648896 Log[2])/77175)-((6652854 Log[3])/343)) ((Log[y])^2)-((30958304 ((Log[y])^3))/42875)-((507112470513626 Zeta[3])/496621125)+((1459707392 EulerGamma Zeta[3])/11025)+((31081984 Log[2] Zeta[3])/2205)+(12282192/49) Log[3] Zeta[3]+Log[y] (-(19443299901911886102163978369/20830556293536389400000)+((7162313664943370257 EulerGamma)/22370298575625)-((371499648 (EulerGamma^2))/42875)+((30958304 (π^2))/8575)+((26226795763189455409 Log[2])/22370298575625)+((3314595584 EulerGamma Log[2])/77175)+((10515486848 ((Log[2])^2))/128625)+((55342172390906997 Log[3])/78556878400)-(26611416/343) EulerGamma Log[3]-(26611416/343) Log[2] Log[3]-((13305708 ((Log[3])^2))/343)-((64640615234375 Log[5])/106007616)+((729853696 Zeta[3])/11025))+((30330368 Zeta[5])/105))+(y^15) (-(2156981124861492206459973244667903910764345212519/15834448318299899346158352924672000000)-((2239134931878759971610842802204107 EulerGamma)/315520436178195690241800000)-((525646348187213988152273 (EulerGamma^2))/2710743300199935000)+((7068347307704576 (EulerGamma^3))/102112943625)+((8886137056252424329336470110571506819 (π^2))/2419231963056588277678080000)-((1767086826926144 EulerGamma (π^2))/20422588725)+((651241387862373001412589433250920937 (π^4))/1359055799180018967379968000)+((12070914117030147676265915 (π^6))/212795082393255936)-((2547624607151695403 (π^8))/19791209299968)-((181440728366064415737944713721311 Log[2])/6310408723563913804836000)+((1496178473752627794534563 EulerGamma Log[2])/271074330019993500)-((19214295857045248 (EulerGamma^2) Log[2])/34037647875)+((4803573964261312 (π^2) Log[2])/20422588725)+((3486208535559431080409581 ((Log[2])^2))/246431209109085000)-((8934542785182976 EulerGamma ((Log[2])^2))/3094331625)-((335912485548351232 ((Log[2])^3))/102112943625)+((2029186475052690112702362124587 Log[3])/27634379207276441600000)-((811932090874103080377 EulerGamma Log[3])/66773346640000)+(202542444/343) (EulerGamma^2) Log[3]-(84392685/343) (π^2) Log[3]-((1120809504525849732537 Log[2] Log[3])/66773346640000)+(405084888/343) EulerGamma Log[2] Log[3]+(202542444/343) ((Log[2])^2) Log[3]-((811932090874103080377 ((Log[3])^2))/133546693280000)+(202542444/343) EulerGamma ((Log[3])^2)+(202542444/343) Log[2] ((Log[3])^2)+((67514148 ((Log[3])^3))/343)-((6883343827424302422607421875 Log[5])/140217611841930534912)+((3103131723564453125 EulerGamma Log[5])/529826064768)+((3103131723564453125 Log[2] Log[5])/529826064768)+((3103131723564453125 ((Log[5])^2))/1059652129536)-((1229477788055969228362223323 Log[7])/1176841869863362560000)+((99266763611398187 EulerGamma Log[7])/115192935000)+((99266763611398187 Log[2] Log[7])/115192935000)+((99266763611398187 ((Log[7])^2))/230385870000)+(-(486613296926917903160273/10842973200799740000)+((1767086826926144 EulerGamma)/34037647875)-((4803573964261312 Log[2])/34037647875)+((50635611 Log[3])/343)) ((Log[y])^2)+((883543413463072 ((Log[y])^3))/102112943625)+Log[y] (-(2255624992466899593198995408162507/631040872356391380483600000)-((516171613631379164677073 EulerGamma)/2710743300199935000)+((3534173653852288 (EulerGamma^2))/34037647875)-((883543413463072 (π^2))/20422588725)+((1501976725789824367728803 Log[2])/542148660039987000)-((19214295857045248 EulerGamma Log[2])/34037647875)-((4467271392591488 ((Log[2])^2))/3094331625)-((811932090874103080377 Log[3])/133546693280000)+(202542444/343) EulerGamma Log[3]+(202542444/343) Log[2] Log[3]+((101271222 ((Log[3])^2))/343)+((3103131723564453125 Log[5])/1059652129536)+((99266763611398187 Log[7])/230385870000)-((993148974976 Zeta[3])/9823275))-((19017674025842159417 Zeta[3])/5309873068500)-((1986297949952 EulerGamma Zeta[3])/9823275)+((31637350502656 Log[2] Zeta[3])/9823275)-(93481128/49) Log[3] Zeta[3]+((394576384 Zeta[5])/567))+(y^(39/2)) (-((400534033750217315601333566317437632463726302829342080312449274327 π)/832285841785068771047892978419603163920190804787200000000)+((229526089964786146193214306389437914020349714877776037 EulerGamma π)/1005029590706861038264663422674083994880000000)-((536916952295660051557188511196341493 (EulerGamma^2) π)/40370009492062827525148200000)-((94981597439012029458224 (EulerGamma^3) π)/136221219619340625)-((110065599895848712798126839007704101193344177 (π^3))/693074310406355770660176304896000000)+((127913715837112586453834121638503 EulerGamma (π^3))/2767723124370137633700000)-((35936967237297810896 (EulerGamma^2) (π^3))/39313483295625)+((46853713709394256370655479 (π^5))/6023874000444300000)-((134927657080099232 EulerGamma (π^5))/170188239375)-((84841274427328 (π^7))/343814625)+((8318879734509829133838237810979905995474469654615078349 π Log[2])/9045266316361749344381970804066755953920000000)-((128331076535758840455508120175589408529 EulerGamma π Log[2])/908325213571413619315834500000)+((7470011609188824981233488 (EulerGamma^2) π Log[2])/408663658858021875)+((113520050072508749770954400679259 (π^3) Log[2])/1916116009179326054100000)-((11278871291857980635296 EulerGamma (π^3) Log[2])/353821349660625)-((7991480507897683616 (π^5) Log[2])/1531694154375)-((610930606673715141525343634836111507217 π ((Log[2])^2))/1816650427142827238631669000000)+((32491421368563872056532816 EulerGamma π ((Log[2])^2))/408663658858021875)-((21600351640243287366736 (π^3) ((Log[2])^2))/353821349660625)+((9786308568054500723171312 π ((Log[2])^3))/111453725143096875)-((49842615000299554449001282071883796837806577499 π Log[3])/19102429145557175474911150616320000000)+((11953629139341241790896615589493 EulerGamma π Log[3])/34528770483598391000000)-((205378038216 (EulerGamma^2) π Log[3])/16807)-((811279445264671272771591729 (π^3) Log[3])/2840705099432200000)+((31596621264 EulerGamma (π^3) Log[3])/2401)+((2430509328 (π^5) Log[3])/1715)+((18164990372874803885242658981493 π Log[2] Log[3])/34528770483598391000000)-((410756076432 EulerGamma π Log[2] Log[3])/16807)+((31596621264 (π^3) Log[2] Log[3])/2401)-((205378038216 π ((Log[2])^2) Log[3])/16807)+((11953629139341241790896615589493 π ((Log[3])^2))/69057540967196782000000)-((205378038216 EulerGamma π ((Log[3])^2))/16807)+((15798310632 (π^3) ((Log[3])^2))/2401)-((205378038216 π Log[2] ((Log[3])^2))/16807)-((68459346072 π ((Log[3])^3))/16807)+((1092044093138083786414123365026539544228515625 π Log[5])/662975611268182915367331055979606016)-((18740950031150796158740234375 EulerGamma π Log[5])/98631080552006114112)+((21399578898188177001953125 (π^3) Log[5])/121716676946120256)-((18740950031150796158740234375 π Log[2] Log[5])/98631080552006114112)-((18740950031150796158740234375 π ((Log[5])^2))/197262161104012228224)+((174928414443021689475882354206243728249 π Log[7])/3183178237597544294085120000000)-((6199723887167614654953221 EulerGamma π Log[7])/158235135140671875)+((14528981322455072843881 (π^3) Log[7])/286398434643750)-((6199723887167614654953221 π Log[2] Log[7])/158235135140671875)-((6199723887167614654953221 π ((Log[7])^2))/316470270281343750)+(-((565050706964618876549663196051760373 π)/161480037968251310100592800000)-((23745399359753007364556 EulerGamma π)/45407073206446875)-((8984241809324452724 (π^3))/39313483295625)+((1867502902297206245308372 π Log[2])/408663658858021875)-((51344509554 π Log[3])/16807)) ((Log[y])^2)-((11872699679876503682278 π ((Log[y])^3))/136221219619340625)+((34225980491613565281619602308927 π Zeta[3])/251611193124557966700000)-((71873934474595621792 EulerGamma π Zeta[3])/13104494431875)+((134927657080099232 (π^3) Zeta[3])/11345882625)-((11278871291857980635296 π Log[2] Zeta[3])/117940449886875)+((94789863792 π Log[3] Zeta[3])/2401)+Log[y] (((232009213705276289610726187521898456989816034938192037 π)/2010059181413722076529326845348167989760000000)-((543950390962899757805307182410196213 EulerGamma π)/40370009492062827525148200000)-((47490798719506014729112 (EulerGamma^2) π)/45407073206446875)+((128229176896755477561405142233703 (π^3))/5535446248740275267400000)-((35936967237297810896 EulerGamma (π^3))/39313483295625)-((67463828540049616 (π^5))/170188239375)-((129280590755836200799004140789459795729 π Log[2])/1816650427142827238631669000000)+((7470011609188824981233488 EulerGamma π Log[2])/408663658858021875)-((5639435645928990317648 (π^3) Log[2])/353821349660625)+((16245710684281936028266408 π ((Log[2])^2))/408663658858021875)+((11953629139341241790896615589493 π Log[3])/69057540967196782000000)-((205378038216 EulerGamma π Log[3])/16807)+((15798310632 (π^3) Log[3])/2401)-((205378038216 π Log[2] Log[3])/16807)-((102689019108 π ((Log[3])^2))/16807)-((18740950031150796158740234375 π Log[5])/197262161104012228224)-((6199723887167614654953221 π Log[7])/316470270281343750)-((35936967237297810896 π Zeta[3])/13104494431875))-((134927657080099232 π Zeta[5])/3781960875))+(y^(37/2)) (((2365574498174276325070662729175571133017216323635222652409 π)/25275580543013276147776044477141690576691200000000)+((2409175906260835174202260343911668117818580253 EulerGamma π)/188142889794730177018463560448640000000)-((86193638259213097934954892863 (EulerGamma^2) π)/14821387632563762250000)+((7709019218342944 (EulerGamma^3) π)/38288446875)+((800099217316618888063074785104435003837 (π^3))/38793588206371580332662912000000)+((8059125276904241522012851 EulerGamma (π^3))/1860314029548975000)-((195788128271392 (EulerGamma^2) (π^3))/364651875)-((22731982343425737227 (π^5))/2684435829075000)-((2489004442304 EulerGamma (π^5))/17364375)-((256721793152 (π^7))/10418625)+((48434533883413387736599683468571980246503922973 π Log[2])/188142889794730177018463560448640000000)-((3296552692494926162933629207481 EulerGamma π Log[2])/51874856713973167875000)-((5073544685587424 (EulerGamma^2) π Log[2])/12762815625)+((4497916857021578565651053 (π^3) Log[2])/87942117760497000)-((152649828431936 EulerGamma (π^3) Log[2])/364651875)-((581561783872 (π^5) Log[2])/5788125)-((1027177700960942891410284204491 π ((Log[2])^2))/9431792129813303250000)-((6127734498689632 EulerGamma π ((Log[2])^2))/2552563125)+((32520302778976 (π^3) ((Log[2])^2))/72930375)-((81768928109169632 π ((Log[2])^3))/38288446875)+((33753350418774985814247250062313794418377 π Log[3])/212414423947038535248650624000000)-((12611872209998673632698101 EulerGamma π Log[3])/351402101400350000)+((26983975824 (EulerGamma^2) π Log[3])/16807)+((12444850610172155215377 (π^3) Log[3])/491471470490000)-((4151380896 EulerGamma (π^3) Log[3])/2401)-((319336992 (π^5) Log[3])/1715)-((1277408289451344744970377 π Log[2] Log[3])/27030930876950000)+((53967951648 EulerGamma π Log[2] Log[3])/16807)-((4151380896 (π^3) Log[2] Log[3])/2401)+((26983975824 π ((Log[2])^2) Log[3])/16807)-((12611872209998673632698101 π ((Log[3])^2))/702804202800700000)+((26983975824 EulerGamma π ((Log[3])^2))/16807)-((2075690448 (π^3) ((Log[3])^2))/2401)+((26983975824 π Log[2] ((Log[3])^2))/16807)+((8994658608 π ((Log[3])^3))/16807)-((208282627526258342977099213514169921875 π Log[5])/585089647563786750689099507712)+((193123210901904296875 EulerGamma π Log[5])/4877436914064)-((1249179889404296875 (π^3) Log[5])/34107950448)+((193123210901904296875 π Log[2] Log[5])/4877436914064)+((193123210901904296875 π ((Log[5])^2))/9754873828128)+((3410114117968313061995540018805757 π Log[7])/32007825415762134681600000)+(-((86193638259213097934954892863 π)/59285550530255049000000)+((1927254804585736 EulerGamma π)/12762815625)-((48947032067848 (π^3))/364651875)-((1268386171396856 π Log[2])/12762815625)+((6745993956 π Log[3])/16807)) ((Log[y])^2)+((963627402292868 π ((Log[y])^3))/38288446875)+((8589747353534423627020147 π Zeta[3])/620104676516325000)-((391576256542784 EulerGamma π Zeta[3])/121550625)+((2489004442304 (π^3) Zeta[3])/1157625)-((152649828431936 π Log[2] Zeta[3])/121550625)-((12454142688 π Log[3] Zeta[3])/2401)+Log[y] (((2405027957796064047694650865470314374909140253 π)/376285779589460354036927120897280000000)-((86193638259213097934954892863 EulerGamma π)/14821387632563762250000)+((3854509609171472 (EulerGamma^2) π)/12762815625)+((8059125276904241522012851 (π^3))/3720628059097950000)-((195788128271392 EulerGamma (π^3))/364651875)-((1244502221152 (π^5))/17364375)-((3296552692494926162933629207481 π Log[2])/103749713427946335750000)-((5073544685587424 EulerGamma π Log[2])/12762815625)-((76324914215968 (π^3) Log[2])/364651875)-((3063867249344816 π ((Log[2])^2))/2552563125)-((12611872209998673632698101 π Log[3])/702804202800700000)+((26983975824 EulerGamma π Log[3])/16807)-((2075690448 (π^3) Log[3])/2401)+((26983975824 π Log[2] Log[3])/16807)+((13491987912 π ((Log[3])^2))/16807)+((193123210901904296875 π Log[5])/9754873828128)-((195788128271392 π Zeta[3])/121550625))-((2489004442304 π Zeta[5])/385875))+(y^(35/2)) (((5928456576118268406654528613471445265359033482047847 π)/348062195915796030567848804389293158400000000)-((6889743213330171211485663026296473206479 EulerGamma π)/1133500155404919612844994460000000)-((536992452954514318938849031 (EulerGamma^2) π)/1330124531127517125000)+((137446923698176 (EulerGamma^3) π)/1823259375)+((334261927907423205176288152636423 (π^3))/77906280537826096356000000)-((523409480916118226113 EulerGamma (π^3))/903942677137500)-((1284550688768 (EulerGamma^2) (π^3))/17364375)-((7243239705835613 (π^5))/78040462500)-((24010293248 EulerGamma (π^5))/2480625)-((448790528 (π^7))/496125)-((276140656783804273918878772149759711114349 π Log[2])/3400500466214758838534983380000000)+((21680923477101354870983279339 EulerGamma π Log[2])/1995186796691275687500)+((274893847396352 (EulerGamma^2) π Log[2])/607753125)-((199225451410084923352021 (π^3) Log[2])/18982796219887500)-((5138202755072 EulerGamma (π^3) Log[2])/17364375)-((48020586496 (π^5) Log[2])/2480625)+((97723098037887618083482157803 π ((Log[2])^2))/3990373593382551375000)+((549787694792704 EulerGamma π ((Log[2])^2))/607753125)-((5138202755072 (π^3) ((Log[2])^2))/17364375)+((1099575389585408 π ((Log[2])^3))/1823259375)+((7947633177212236730946292792333527 π Log[3])/219381996144590737057600000)-((808431556813349850027 EulerGamma π Log[3])/386156155385000)+((87138310996676601 (π^3) Log[3])/77154077000)-((808431556813349850027 π Log[2] Log[3])/386156155385000)-((808431556813349850027 π ((Log[3])^2))/772312310770000)+((3324612895479935146091357421875 π Log[5])/182270236860107298878976)-((563830465087890625 EulerGamma π Log[5])/187593727464)+((3647027587890625 (π^3) Log[5])/1311844248)-((563830465087890625 π Log[2] Log[5])/187593727464)-((563830465087890625 π ((Log[5])^2))/375187454928)-((92940701429232596338679 π Log[7])/6491697851925000)+(-((536992452954514318938849031 π)/5320498124510068500000)+((34361730924544 EulerGamma π)/607753125)-((321137672192 (π^3))/17364375)+((68723461849088 π Log[2])/607753125)) ((Log[y])^2)+((17180865462272 π ((Log[y])^3))/1823259375)-((4183347401743791871229 π Zeta[3])/2952879411982500)-((2569101377536 EulerGamma π Zeta[3])/5788125)+((24010293248 (π^3) Zeta[3])/165375)-((5138202755072 π Log[2] Zeta[3])/5788125)+Log[y] (-((6872021403253712585656612718627112566479 π)/2267000310809839225689988920000000)-((536992452954514318938849031 EulerGamma π)/1330124531127517125000)+((68723461849088 (EulerGamma^2) π)/607753125)-((523409480916118226113 (π^3))/1807885354275000)-((1284550688768 EulerGamma (π^3))/17364375)-((12005146624 (π^5))/2480625)+((21680923477101354870983279339 π Log[2])/3990373593382551375000)+((274893847396352 EulerGamma π Log[2])/607753125)-((2569101377536 (π^3) Log[2])/17364375)+((274893847396352 π ((Log[2])^2))/607753125)-((808431556813349850027 π Log[3])/772312310770000)-((563830465087890625 π Log[5])/375187454928)-((1284550688768 π Zeta[3])/5788125))-((24010293248 π Zeta[5])/55125))+(y^18) (((381712006038896840800682471240086903750768362968845175563743085250810579)/590389956734235975521658073361688943864568846745600000000)-((1235180446294394476803656045253707311179641393524082369 EulerGamma)/2261316579090437336095492701016688988480000000)+((29006278957590918071503395409128189662375053 (EulerGamma^2))/211171078951936523873022467898000000)-((1586056729099187169176956783766 (EulerGamma^3))/259474042909700403159375)-((58192572059109787744 (EulerGamma^4))/353821349660625)+((126010048073103088057813699214961330788018792653476937927314661 (π^2))/89159061794940648741524742762835463091781632000000)+((796971627795129723433116149323 EulerGamma (π^2))/103789617163880161263750)+((29096286029554893872 (EulerGamma^2) (π^2))/70764269932125)-((1699097647839637356227444067100141009418505381486006661787 (π^4))/629200812664141670604277813375810425323520000)+((30236732228486176 EulerGamma (π^4))/510564718125)-((285958153500091064691115922566313612500963 (π^6))/1095942596458767295295206195200)-((585551176014381667332214709499173 (π^8))/37354656749261842022400)+((578742573206952255237161 (π^10))/25332747903959040)-((1840717298775497974039711130415395530779892000107057077 Log[2])/173947429160802872007345592385899152960000000)+((8121634579516883852441247724117302070175953 EulerGamma Log[2])/8121964575074481687423941073000000)-((515899267307178861116101886318 (EulerGamma^2) Log[2])/6653180587428215465625)+((2418777596193032363648 (EulerGamma^3) Log[2])/353821349660625)+((258870392434452065442456058039 (π^2) Log[2])/7983816704913858558750)-((604694399048258090912 EulerGamma (π^2) Log[2])/70764269932125)+((453371966293099552 (π^4) Log[2])/510564718125)+((97216992548556103310752800914830022481737243 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Log[5])/517816735550890296416644114049193710083132240250451284765840494559232+((22330304065364889150750411605284609599448821889591097412109375 (EulerGamma^3) Log[5])/143274625220839132375618350068889383325953289618432)-((3666640281958397448151257925255120849609375 (EulerGamma^4) Log[5])/89068786861907144192263011256608)+((16845252698675109863281250 (EulerGamma^5) Log[5])/12946851448575759)-((20465761874484604987784963613704783682150397156637243091756203905741275937744140625 (π^2) Log[5])/(6213800826610683556999729368590324520997586883005415417190085934710784))-((111651520326824445753752058026423047997244109447955487060546875 EulerGamma (π^2) Log[5])/573098500883356529502473400275557533303813158473728)+((18333201409791987240756289626275604248046875 (EulerGamma^2) (π^2) Log[5])/178137573723814288384526022513216)-((210565658733438873291015625 (EulerGamma^3) (π^2) Log[5])/38840554345727277)-((35199024209703217734163309458737123791928848876953125 (π^4) Log[5])/778448062409596138285605207992741934624768)-((11959875645245487400824079217529296875 EulerGamma (π^4) Log[5])/581567366371583607191912736)+((54480118689117431640625 (EulerGamma^2) (π^4) Log[5])/30179140905771)-((849609385185480249793548583984375 (π^6) Log[5])/82810275881154518000304)+((7047880813598632812500 EulerGamma (π^6) Log[5])/4431901811337)+((911756896972656250 (π^8) Log[5])/1475824779)-(357734387203092035066362580377942267216913734905505988615199765977796454940372013967267390263671875 Log[2] Log[5])/2023613677983910770664125061164518127248540799270233004182164171792207814814842486784+(10382897031616356821947715611980729798675488955584789444008671821148255187548828125 EulerGamma Log[2] Log[5])/258908367775445148208322057024596855041566120125225642382920247279616-((32314779012524823954093707227999735959386378110408902587890625 (EulerGamma^2) Log[2] Log[5])/47758208406946377458539450022963127775317763206144)-((3666640281958397448151257925255120849609375 (EulerGamma^3) Log[2] Log[5])/22267196715476786048065752814152)+((84226263493375549316406250 (EulerGamma^4) Log[2] Log[5])/12946851448575759)+((161573895062624119770468536139998679796931890552044512939453125 (π^2) Log[2] Log[5])/573098500883356529502473400275557533303813158473728)+((18333201409791987240756289626275604248046875 EulerGamma (π^2) Log[2] Log[5])/89068786861907144192263011256608)-((210565658733438873291015625 (EulerGamma^2) (π^2) Log[2] Log[5])/12946851448575759)-((11959875645245487400824079217529296875 (π^4) Log[2] Log[5])/581567366371583607191912736)+((108960237378234863281250 EulerGamma (π^4) Log[2] Log[5])/30179140905771)+((7047880813598632812500 (π^6) Log[2] Log[5])/4431901811337)+((22962386345055228470729161390460275923166308004099471095323533901148255187548828125 ((Log[2])^2) Log[5])/(517816735550890296416644114049193710083132240250451284765840494559232))-((141604945168304250163781944894568427077056778110408902587890625 EulerGamma ((Log[2])^2) Log[5])/47758208406946377458539450022963127775317763206144)-((3666640281958397448151257925255120849609375 (EulerGamma^2) ((Log[2])^2) Log[5])/14844797810317857365377168542768)+((168452526986751098632812500 (EulerGamma^3) ((Log[2])^2) Log[5])/12946851448575759)+((18333201409791987240756289626275604248046875 (π^2) ((Log[2])^2) Log[5])/178137573723814288384526022513216)-((210565658733438873291015625 EulerGamma (π^2) ((Log[2])^2) Log[5])/12946851448575759)+((54480118689117431640625 (π^4) ((Log[2])^2) Log[5])/30179140905771)-((360185277479863102583158420227705809312397578110408902587890625 ((Log[2])^3) Log[5])/143274625220839132375618350068889383325953289618432)-((3666640281958397448151257925255120849609375 EulerGamma ((Log[2])^3) Log[5])/22267196715476786048065752814152)+((168452526986751098632812500 (EulerGamma^2) ((Log[2])^3) Log[5])/12946851448575759)-((210565658733438873291015625 (π^2) ((Log[2])^3) Log[5])/38840554345727277)-((3666640281958397448151257925255120849609375 ((Log[2])^4) Log[5])/89068786861907144192263011256608)+((84226263493375549316406250 EulerGamma ((Log[2])^4) Log[5])/12946851448575759)+((16845252698675109863281250 ((Log[2])^5) Log[5])/12946851448575759)+((31418964473568165609472767163217067718505859375 Log[3] Log[5])/34232919624590998493434208327827456)-(156316628071632415941583331060469824148356930742845806280599795205065596206767566681855550263671875 ((Log[5])^2))/4047227355967821541328250122329036254497081598540466008364328343584415629629684973568+(4093152374896920997556992722740956736430079431327448618351240781148255187548828125 EulerGamma ((Log[5])^2))/517816735550890296416644114049193710083132240250451284765840494559232+((22330304065364889150750411605284609599448821889591097412109375 (EulerGamma^2) ((Log[5])^2))/95516416813892754917078900045926255550635526412288)-((3666640281958397448151257925255120849609375 (EulerGamma^3) ((Log[5])^2))/44534393430953572096131505628304)+((42113131746687774658203125 (EulerGamma^4) ((Log[5])^2))/12946851448575759)-((111651520326824445753752058026423047997244109447955487060546875 (π^2) ((Log[5])^2))/1146197001766713059004946800551115066607626316947456)+((18333201409791987240756289626275604248046875 EulerGamma (π^2) ((Log[5])^2))/178137573723814288384526022513216)-((210565658733438873291015625 (EulerGamma^2) (π^2) ((Log[5])^2))/25893702897151518)-((11959875645245487400824079217529296875 (π^4) ((Log[5])^2))/1163134732743167214383825472)+((54480118689117431640625 EulerGamma (π^4) ((Log[5])^2))/30179140905771)+((3523940406799316406250 (π^6) ((Log[5])^2))/4431901811337)+((10382897031616356821947715611980729798675488955584789444008671821148255187548828125 Log[2] ((Log[5])^2))/(517816735550890296416644114049193710083132240250451284765840494559232))-((32314779012524823954093707227999735959386378110408902587890625 EulerGamma Log[2] ((Log[5])^2))/47758208406946377458539450022963127775317763206144)-((3666640281958397448151257925255120849609375 (EulerGamma^2) Log[2] 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((Log[5])^2))/12946851448575759)+((42113131746687774658203125 ((Log[2])^4) ((Log[5])^2))/12946851448575759)+((4093152374896920997556992722740956736430079431327448618351240781148255187548828125 ((Log[5])^3))/(1553450206652670889249932342147581130249396720751353854297521483677696))+((22330304065364889150750411605284609599448821889591097412109375 EulerGamma ((Log[5])^3))/143274625220839132375618350068889383325953289618432)-((3666640281958397448151257925255120849609375 (EulerGamma^2) ((Log[5])^3))/44534393430953572096131505628304)+((168452526986751098632812500 (EulerGamma^3) ((Log[5])^3))/38840554345727277)+((18333201409791987240756289626275604248046875 (π^2) ((Log[5])^3))/534412721171442865153578067539648)-((210565658733438873291015625 EulerGamma (π^2) ((Log[5])^3))/38840554345727277)+((54480118689117431640625 (π^4) ((Log[5])^3))/90537422717313)-((32314779012524823954093707227999735959386378110408902587890625 Log[2] 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((Zeta[3])^2))/607753125)+((785795473222576054226244 Log[3] ((Zeta[3])^2))/48269519423125)+((7047880813598632812500 Log[5] ((Zeta[3])^2))/23449215933)+((2630759810596864 ((Zeta[3])^3))/17364375)-((8196391624550861239221143181431731722166621773251786737 Zeta[5])/3115791141824345976762969440333841750000000)+((33279339254147985736945881566142043693330712 EulerGamma Zeta[5])/18113461290206456881400834765625)-((7767498001618554762762208124672 (EulerGamma^2) Zeta[5])/99759339834563784375)+((281491299733864448 (EulerGamma^3) Zeta[5])/1823259375)+((1941874500404638690690552031168 (π^2) Zeta[5])/59855603900738270625)-((70372824933466112 EulerGamma (π^2) Zeta[5])/364651875)+((657689952649216 (π^4) Zeta[5])/86821875)+((375862464964122286245552551953268769873670424 Log[2] Zeta[5])/18113461290206456881400834765625)+((80409838892682804143162275185152 EulerGamma Log[2] Zeta[5])/99759339834563784375)+((562982599467728896 (EulerGamma^2) Log[2] Zeta[5])/607753125)-((140745649866932224 (π^2) Log[2] Zeta[5])/364651875)+((184414352483363752185491520250112 ((Log[2])^2) Zeta[5])/99759339834563784375)+((1125965198935457792 EulerGamma ((Log[2])^2) Zeta[5])/607753125)+((2251930397870915584 ((Log[2])^3) Zeta[5])/1823259375)+((44101789728373394377182607931098174197 Log[3] Zeta[5])/3427843689759230266525000)-((1571590946445152108452488 EulerGamma Log[3] Zeta[5])/48269519423125)-((1571590946445152108452488 Log[2] Log[3] Zeta[5])/48269519423125)-((785795473222576054226244 ((Log[3])^2) Zeta[5])/48269519423125)+((10080941552945881606462249755859375 Log[5] Zeta[5])/2847972450939176544984)-((14095761627197265625000 EulerGamma Log[5] Zeta[5])/23449215933)-((14095761627197265625000 Log[2] Log[5] Zeta[5])/23449215933)-((7047880813598632812500 ((Log[5])^2) Zeta[5])/23449215933)-((12496434951368897973313423624 Log[7] Zeta[5])/811462231490625)+((7304047367164990252834190848 Zeta[3] Zeta[5])/11073297794934375)-((5261519621193728 EulerGamma Zeta[3] Zeta[5])/5788125)-((10523039242387456 Log[2] Zeta[3] Zeta[5])/5788125)-((24586540285952 ((Zeta[5])^2))/55125)+((267977874499901950022599914857486536 Zeta[7])/60864281670176637778125)-((7290370598927289734059357696 EulerGamma Zeta[7])/11073297794934375)+((2630759810596864 (EulerGamma^2) Zeta[7])/5788125)-((657689952649216 (π^2) Zeta[7])/3472875)+((16289756823940696170642180608 Log[2] Zeta[7])/11073297794934375)+((10523039242387456 EulerGamma Log[2] Zeta[7])/5788125)+((10523039242387456 ((Log[2])^2) Zeta[7])/5788125)-((508190629732617937032 Log[3] Zeta[7])/9644259625)-((91175689697265625000 Log[5] Zeta[7])/54660177)-((49173080571904 Zeta[3] Zeta[7])/55125)-((581075576814518686565888 Zeta[9])/245827456875)+((49173080571904 EulerGamma Zeta[9])/55125)+((98346161143808 Log[2] Zeta[9])/55125)+((459561500672 Zeta[11])/525))+((8589934592 Zeta[13])/5));

(Subscript[Δλ, B])

The magnetic-type tidal invariant up to order (y^25.5).

ΔλB=2 (y^(7/2))+3 (y^(9/2))+((59 (y^(11/2)))/4)+((2761/24)-((41 (π^2))/16)) (y^(13/2))+((856 π (y^9))/7)-((69473 π (y^10))/22050)-((5843221973 π (y^11))/4365900)+(y^(19/2)) (-(454873888681/50803200)-((3881396 EulerGamma)/2835)+((7377893735 (π^2))/3538944)-((26691349 (π^4))/524288)-((1992212 Log[2])/2835)-((200961 Log[3])/140)-((1940698 Log[y])/2835))+(y^(17/2)) ((491047651/201600)+((2756 EulerGamma)/105)-((565685 (π^2))/3072)-((4492 Log[2])/21)+((3645 Log[3])/14)+((1378 Log[y])/105))+(y^(15/2)) ((1618039/2880)+((1808 EulerGamma)/15)-((112919 (π^2))/3072)+240 Log[2]+((904 Log[y])/15))+(y^12) (((177773734055963 π)/20170458000)-((109544032 EulerGamma π)/55125)+((1023776 (π^3))/1575)-((656897824 π Log[2])/165375)-((54772016 π Log[y])/55125))+(y^13) (((5157596639147063 π)/180360180000)-((14606534 EulerGamma π)/11025)+((1495618 (π^3))/945)+((1061371118 π Log[2])/385875)-(1848015/343) π Log[3]-((7303267 π Log[y])/11025))+(y^14) (-((182312652332925353457079 π)/2224199630933280000)+((261156926572103 EulerGamma π)/11345882625)-((72277933843 (π^3))/9823275)+((7448963901653 π Log[2])/34037647875)+((311318752347 π Log[3])/10375750)+((261156926572103 π Log[y])/22691765250))+(y^(25/2)) ((650842678174698441560847239/31101413326663680000)-((1009884112621826107 EulerGamma)/14159661516000)+((115048067276 (EulerGamma^2))/9823275)+((2612085785441191481 (π^2))/6975966412800)-((14375375047759450747 (π^4))/49478023249920)+((1594697066963 (π^6))/402653184)+((1647998244938492453 Log[2])/14159661516000)-((27159862376 EulerGamma Log[2])/9823275)-((2526608396 ((Log[2])^2))/56133)-((496811505579201 Log[3])/2158156000)+((433572021 EulerGamma Log[3])/13475)+((433572021 Log[2] Log[3])/13475)+((433572021 ((Log[3])^2))/26950)+((288888671875 Log[5])/4790016)+((678223072849 Log[7])/101088000)+(-(993028451553179707/28319323032000)+((115048067276 EulerGamma)/9823275)-((13579931188 Log[2])/9823275)+((433572021 Log[3])/26950)) Log[y]+((28762016819 ((Log[y])^2))/9823275)-((61736408 Zeta[3])/2835))+(y^(21/2)) (-(423235951437871681/1760330880000)+((83360241649 EulerGamma)/10914750)-((1537376 (EulerGamma^2))/1575)+((42496203125923 (π^2))/2477260800)+((89531499967 (π^4))/100663296)+((82889847697 Log[2])/10914750)-(2047552/525) EulerGamma Log[2]-((6139232 ((Log[2])^2))/1575)+((1412559 Log[3])/1232)+((9765625 Log[5])/7128)+((83360241649/21829500)-((1537376 EulerGamma)/1575)-((1023776 Log[2])/525)) Log[y]-((384344 ((Log[y])^2))/1575)+((28736 Zeta[3])/15))+(y^(23/2)) (-(21309701350511477421907/9397819791360000)+((42734893209857 EulerGamma)/1324323000)-((10248496 (EulerGamma^2))/11025)+((41783113230548567 (π^2))/554906419200)+((995995846414723 (π^4))/64424509440)+((66996912132433 Log[2])/1324323000)+((4649248 EulerGamma Log[2])/2205)+((55366352 ((Log[2])^2))/11025)+((8818395978069 Log[3])/196196000)-(284310/49) EulerGamma Log[3]-(284310/49) Log[2] Log[3]-((142155 ((Log[3])^2))/49)-((5041015625 Log[5])/324324)+((42972211891457/2648646000)-((10248496 EulerGamma)/11025)+((2324624 Log[2])/2205)-((142155 Log[3])/49)) Log[y]-((2562124 ((Log[y])^2))/11025)+((583232 Zeta[3])/105))+(y^16) (((172082144606116652094765973106294533927 π)/77587176412743160665325824000000)-((5225794921492869641929199 EulerGamma π)/8061360794712225000)+((3242615100572 (EulerGamma^2) π)/121550625)+((5282738414916394907 (π^3))/16269308055000)-((49702257064 EulerGamma (π^3))/1157625)-((2755015736 (π^5))/496125)-((9858692110306397765587183 π Log[2])/8061360794712225000)-((1630406956744 EulerGamma π Log[2])/121550625)-((24540660136 (π^3) Log[2])/1157625)-((1786168127252 π ((Log[2])^2))/24310125)-((101800626914761160391 π Log[3])/98294294098000)+((288290340 EulerGamma π Log[3])/2401)-(22176180/343) (π^3) Log[3]+((288290340 π Log[2] Log[3])/2401)+((144145170 π ((Log[3])^2))/2401)+((741633047861328125 π Log[5])/1462378375458)+(-((5225794921492869641929199 π)/16122721589424450000)+((3242615100572 EulerGamma π)/121550625)-((24851128532 (π^3))/1157625)-((815203478372 π Log[2])/121550625)+((144145170 π Log[3])/2401)) Log[y]+((810653775143 π ((Log[y])^2))/121550625)-((49702257064 π Zeta[3])/385875))+(y^15) (((5339130148856440616477543938057 π)/93487536645391315627200000)-((374731983268181645111 EulerGamma π)/2952879411982500)+((18738257728 (EulerGamma^2) π)/1157625)+((229453971195409 (π^3))/17878360500)-((350247808 EulerGamma (π^3))/33075)-((3273344 (π^5))/4725)-((2139817700265597128761 π Log[2])/44293191179737500)+((1124138658176 EulerGamma π Log[2])/17364375)-((10505968768 (π^3) Log[2])/496125)+((13877287104 π ((Log[2])^2))/214375)-((1940642256399057 π Log[3])/77154077000)-((29176220703125 π Log[5])/655922124)+(-((374731983268181645111 π)/5905758823965000)+((18738257728 EulerGamma π)/1157625)-((175123904 (π^3))/33075)+((562069329088 π Log[2])/17364375)) Log[y]+((4684564432 π ((Log[y])^2))/1157625)-((350247808 π Zeta[3])/11025))+(y^17) (((60416729961756084046896756196026155117615999 π)/18019932070565250037164583927296000000)+((1277403231697105061786803128989 EulerGamma π)/1845148749580091755800000)-((6988534671289354798 (EulerGamma^2) π)/39313483295625)+((1574917631305514198847689 (π^3))/2409549600177720000)+((2374736540354476 EulerGamma (π^3))/34037647875)-((1164985517284 (π^5))/147349125)-((23838268970370539388819512042537 π Log[2])/5535446248740275267400000)+((49365466573161669356 EulerGamma π Log[2])/117940449886875)-((56967896910383356 (π^3) Log[2])/102112943625)+((170101151219869102454 π ((Log[2])^2))/117940449886875)+((367433884526534388485594163 π Log[3])/62495512187508400000)-((1339688415105774 EulerGamma π Log[3])/1997331875)+((1867912514082 (π^3) Log[3])/5187875)-((1339688415105774 π Log[2] Log[3])/1997331875)-((669844207552887 π ((Log[3])^2))/1997331875)-((2237719039838974609375 π Log[5])/1127006268019632)-((42358546129606626367 π Log[7])/138859847100000)+(((1239754823171201756997341727389 π)/3690297499160183511600000)-((6988534671289354798 EulerGamma π)/39313483295625)+((1187368270177238 (π^3))/34037647875)+((24682733286580834678 π Log[2])/117940449886875)-((669844207552887 π Log[3])/1997331875)) Log[y]-((3494267335644677399 π ((Log[y])^2))/78626966591250)+((2374736540354476 π Zeta[3])/11345882625))+(y^(31/2)) (-(13274137299499961392016982771705466784182009781147/150427259023849043788504352784384000000)+((199145605807824782900827181923163 EulerGamma)/40877141529158955820800000)+((42790957420641639646681 (EulerGamma^2))/208518715399995000)-((6046888630600768 (EulerGamma^3))/102112943625)+((14216496541215185765925039372537482329 (π^2))/4838463926113176555356160000)+((1511722157650192 EulerGamma (π^2))/20422588725)+((85771577477966663370703907387338853 (π^4))/339763949795004741844992000)+((2170911676656317357689133 (π^6))/53198770598313984)-((2392749397956998243 (π^8))/4947802324992)+((14195853596778147050357617416713711 Log[2])/531402839879066425670400000)-((6903734693281690276174139 EulerGamma Log[2])/1355371650099967500)+((8773912142318528 (EulerGamma^2) Log[2])/34037647875)-((2193478035579632 (π^2) Log[2])/20422588725)-((32926195046864358119449531 ((Log[2])^2))/2710743300199935000)+((55640766180961216 EulerGamma ((Log[2])^2))/34037647875)+((40210046347331776 ((Log[2])^3))/20422588725)-((5014469439425452168758965467887 Log[3])/151989085640020428800000)+((456376186270608529383 EulerGamma Log[3])/73450681304000)-((1867912514082 (EulerGamma^2) Log[3])/5187875)+((311318752347 (π^2) Log[3])/2075150)+((2966133302205799233411 Log[2] Log[3])/367253406520000)-((3735825028164 EulerGamma Log[2] Log[3])/5187875)-((1867912514082 ((Log[2])^2) Log[3])/5187875)+((456376186270608529383 ((Log[3])^2))/146901362608000)-((1867912514082 EulerGamma ((Log[3])^2))/5187875)-((1867912514082 Log[2] ((Log[3])^2))/5187875)-((622637504694 ((Log[3])^3))/5187875)+((47489036363197548687095703125 Log[5])/2664134624996680163328)-((96693640009765625 EulerGamma Log[5])/44152172064)-((96693640009765625 Log[2] Log[5])/44152172064)-((96693640009765625 ((Log[5])^2))/88304344128)+((82461965144461117073077709 Log[7])/53492812266516480000)-((14180966230199741 EulerGamma Log[7])/41888340000)-((14180966230199741 Log[2] Log[7])/41888340000)-((14180966230199741 ((Log[7])^2))/83776680000)+((38836915123602398840281/834074861599980000)-((1511722157650192 EulerGamma)/34037647875)+((2193478035579632 Log[2])/34037647875)-((933956257041 Log[3])/10375750)) ((Log[y])^2)-((755861078825096 ((Log[y])^3))/102112943625)+((6202424414638085951 Zeta[3])/2654936534250)+((1780141198336 EulerGamma Zeta[3])/9823275)-((18782726706176 Log[2] Zeta[3])/9823275)+((15608592756 Log[3] Zeta[3])/13475)+Log[y] ((205456888221800274077211649430363/81754283058317911641600000)+((42097718879672354936281 EulerGamma)/208518715399995000)-((3023444315300384 (EulerGamma^2))/34037647875)+((755861078825096 (π^2))/20422588725)-((6938515922161787047246139 Log[2])/2710743300199935000)+((8773912142318528 EulerGamma Log[2])/34037647875)+((27820383090480608 ((Log[2])^2))/34037647875)+((456376186270608529383 Log[3])/146901362608000)-((1867912514082 EulerGamma Log[3])/5187875)-((1867912514082 Log[2] Log[3])/5187875)-((933956257041 ((Log[3])^2))/5187875)-((96693640009765625 Log[5])/88304344128)-((14180966230199741 Log[7])/83776680000)+((890070599168 Zeta[3])/9823275))-((1316562304 Zeta[5])/2835))+(y^(29/2)) ((8717230186879021394846309680393737429919/1333399379810838421745664000000)+((26420013359615317979764911787 EulerGamma)/11903175024877936800000)-((4548539361797409137 (EulerGamma^2))/12783027757500)+((1769521504 (EulerGamma^3))/165375)-((341456877370199774633224097417 (π^2))/3431417885145169920000)-((442380376 EulerGamma (π^2))/33075)-((2563963105871968704720413161 (π^4))/63838524717976780800)-((11091687187004415235 (π^6))/6493990551552)+((62687419667570338818465670693 Log[2])/9258025019349506400000)-((829912983765218981 EulerGamma Log[2])/596541295350)-((194147936 (EulerGamma^2) Log[2])/385875)+((48536984 (π^2) Log[2])/231525)-((155965565348317143767 ((Log[2])^2))/89481194302500)-((25355744864 EulerGamma ((Log[2])^2))/385875)-((2162255392 ((Log[2])^3))/33075)+((370647543893739245573111253 Log[3])/81277585903754240000)-((53641337092064217 EulerGamma Log[3])/49098049000)+(22176180/343) (EulerGamma^2) Log[3]-(9240075/343) (π^2) Log[3]-((12026722532147397 Log[2] Log[3])/9819609800)+(44352360/343) EulerGamma Log[2] Log[3]+(22176180/343) ((Log[2])^2) Log[3]-((53641337092064217 ((Log[3])^2))/98196098000)+(22176180/343) EulerGamma ((Log[3])^2)+(22176180/343) Log[2] ((Log[3])^2)+((7392060 ((Log[3])^3))/343)-((4794041153062144818359375 Log[5])/967369144878968832)+((15194814453125 EulerGamma Log[5])/27054027)+((15194814453125 Log[2] Log[5])/27054027)+((15194814453125 ((Log[5])^2))/54108054)+((661364683359445043153 Log[7])/896477497344000)+(-(4569882002335828337/51132111030000)+((442380376 EulerGamma)/55125)-((48536984 Log[2])/385875)+((5544045 Log[3])/343)) ((Log[y])^2)+((221190188 ((Log[y])^3))/165375)+Log[y] ((26816721352469623226670102187/23806350049755873600000)-((4548539361797409137 EulerGamma)/12783027757500)+((884760752 (EulerGamma^2))/55125)-((221190188 (π^2))/33075)-((830908973657011877 Log[2])/1193082590700)-((194147936 EulerGamma Log[2])/385875)-((12677872432 ((Log[2])^2))/385875)-((53641337092064217 Log[3])/98196098000)+(22176180/343) EulerGamma Log[3]+(22176180/343) Log[2] Log[3]+((11088090 ((Log[3])^2))/343)+((15194814453125 Log[5])/54108054)-((114578656 Zeta[3])/1575))+((226437359033 Zeta[3])/210210)-((229157312 EulerGamma Zeta[3])/1575)-((904209472 Log[2] Zeta[3])/11025)-(10235160/49) Log[3] Zeta[3]-((4140608 Zeta[5])/15))+(y^(27/2)) ((137738077427722761383939335398968819/222286155243531053875200000)-((192574199072389690922867 EulerGamma)/3011937000222150000)-((2572458931724062 (EulerGamma^2))/49165491375)+((2627591296 (EulerGamma^3))/496125)-((3242997919731208736780905997 (π^2))/1055820887736975360000)-((656897824 EulerGamma (π^2))/99225)-((51226131330048617152601737 (π^4))/9974769487183872000)-((148094221748880223 (π^6))/1623497637888)-((935831561675894643798323 Log[2])/602387400044430000)+((31405756367204 EulerGamma Log[2])/1966619655)+((350247808 (EulerGamma^2) Log[2])/11025)-((87561952 (π^2) Log[2])/6615)+((506021443260742 ((Log[2])^2))/1820944125)+((10505968768 EulerGamma ((Log[2])^2))/165375)+((259388544 ((Log[2])^3))/6125)+((1517581031980000347 Log[3])/5246477236000)-((203748051807 EulerGamma Log[3])/7707700)-((203748051807 Log[2] Log[3])/7707700)-((203748051807 ((Log[3])^2))/15415400)+((79529650673427734375 Log[5])/209811121648128)-((37744140625 EulerGamma Log[5])/764478)-((37744140625 Log[2] Log[5])/764478)-((37744140625 ((Log[5])^2))/1528956)-((12722592845553577 Log[7])/113420736000)+(-(1286229465862031/98330982750)+((656897824 EulerGamma)/165375)+((87561952 Log[2])/11025)) ((Log[y])^2)+((328448912 ((Log[y])^3))/496125)+Log[y] (-(172840217327848466762867/6023874000444300000)-((2572458931724062 EulerGamma)/49165491375)+((1313795648 (EulerGamma^2))/165375)-((328448912 (π^2))/99225)+((15702878183602 Log[2])/1966619655)+((350247808 EulerGamma Log[2])/11025)+((5252984384 ((Log[2])^2))/165375)-((203748051807 Log[3])/15415400)-((37744140625 Log[5])/1528956)-((24556928 Zeta[3])/1575))+((6520649816 Zeta[3])/202125)-((49113856 EulerGamma Zeta[3])/1575)-(6546688/105) Log[2] Zeta[3]-((459008 Zeta[5])/15))+(y^18) (-((222996630524894963293819543203583211605429661053457 π)/24861585422556859326274914599235225600000000)+((927371946874788026105666488107460558343 EulerGamma π)/566750077702459806422497230000000)+((259176410061430480963534651 (EulerGamma^2) π)/332531132781879281250)-((1979826293504 (EulerGamma^3) π)/22509375)-((11594910049753573965169671814199 (π^3))/4328126696545894242000000)+((165780207567054630631 EulerGamma (π^3))/1581899684990625)+((18503049472 (EulerGamma^2) (π^3))/214375)+((23095706688145451 (π^5))/526773121875)+((345851392 EulerGamma (π^5))/30625)+((6464512 (π^7))/6125)+((71374201304450556828168269094235651640341 π Log[2])/1700250233107379419267491690000000)-((1499108087702358653411971663 EulerGamma π Log[2])/498796699172818921875)-((962162022265088 (EulerGamma^2) π Log[2])/1823259375)+((3315784326936817014371 (π^3) Log[2])/677957007853125)+((17984336864768 EulerGamma (π^3) Log[2])/52093125)+((168077914624 (π^5) Log[2])/7441875)-((1998413895886307001774734659 π ((Log[2])^2))/199518679669127568750)-((128286032543488 EulerGamma π ((Log[2])^2))/121550625)+((1198934883584 (π^3) ((Log[2])^2))/3472875)-((3848547419926784 π ((Log[2])^3))/5469778125)-((1161973050455284332965478405917649 π Log[3])/109690998072295368528800000)+((55078778273379836301 EulerGamma π Log[3])/96539038846250)-((5821926769197171 (π^3) Log[3])/19288519250)+((55078778273379836301 π Log[2] Log[3])/96539038846250)+((55078778273379836301 π ((Log[3])^2))/193078077692500)-((233100365851549966713486865234375 π 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Zeta[3])/72930375)+((79503250441102296582125403387584000019752776255449948510182290723 ((Log[2])^2) Zeta[3])/5630397384016380076614933713547601164479912250000000)-((36921712005239152467131207846845925921439892799072 EulerGamma ((Log[2])^2) Zeta[3])/19114067005338751765986298278912890625)-((10166502531461407965165627158268688384 (EulerGamma^2) ((Log[2])^2) Zeta[3])/22468297314239628335859375)-((421674196795404500992 (EulerGamma^3) ((Log[2])^2) Zeta[3])/574326703125)+((2541625632865351991291406789567172096 (π^2) ((Log[2])^2) Zeta[3])/13480978388543777001515625)+((105418549198851125248 EulerGamma (π^2) ((Log[2])^2) Zeta[3])/114865340625)-((985220085970571264 (π^4) ((Log[2])^2) Zeta[3])/27348890625)-((133459902991677311603504052095023905329273941450336 ((Log[2])^3) Zeta[3])/57342201016016255297958894836738671875)-((67160057643164086339479398662179549184 EulerGamma ((Log[2])^3) Zeta[3])/67404891942718885007578125)-((281116054598911148032 (EulerGamma^2) ((Log[2])^3) 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