-7.01325836590654205935261552470532571124`19.98160364611107 + 
 (
   (
    1.6007968679498194622305688686806326786582515353177674807824`34.566391057\
46995 + 
    (
      0.0841241481897514807285285487205526806837466346254014607779`34.5663910\
5746995*(1 - Sqrt[1 - z])^5)/(1 + Sqrt[1 - z])^5 + 
    (
      0.603772941271304339275053071779127039826405922198940288341`34.56639105\
746995*(1 - Sqrt[1 - z])^4)/(1 + Sqrt[1 - z])^4 - 
    (
      0.7612834545288546575246713343425674455371490742760631827397`34.5663910\
5746994*(1 - Sqrt[1 - z])^3)/(1 + Sqrt[1 - z])^3 + 
    (
      0.3542827989086674193630272348437229689769736169144635618704`34.5663910\
5746995*(1 - Sqrt[1 - z])^2)/(1 + Sqrt[1 - z])^2 - 
    (
      0.3960017570521204219740301396603580635286125798767594811298`34.5663910\
5746995*(1 - Sqrt[1 - z]))/(1 + Sqrt[1 - z]))*
   (1 + (1 - Sqrt[1 - z])/(1 + Sqrt[1 - z]))^2)/
  ((1 - (1 - Sqrt[1 - z])/(1 + Sqrt[1 - z]))^2*
   (1 + 
    (
      0.2139707506328861100758362066484646616918519301129361028804`34.5663910\
5746995*(1 - Sqrt[1 - z])^4)/(1 + Sqrt[1 - z])^4 - 
    (
      0.622903977784222499440416048565601961263205578009410854877`34.56639105\
746995*(1 - Sqrt[1 - z])^3)/(1 + Sqrt[1 - z])^3 + 
    (
      0.3081534917792284872914519184103085384785647196490431434695`34.5663910\
5746995*(1 - Sqrt[1 - z])^2)/(1 + Sqrt[1 - z])^2 - 
    (
      0.3356911051505507948693142877944181172282566539100344885337`34.6989700\
0433602*(1 - Sqrt[1 - z]))/(1 + Sqrt[1 - z]))) + 
 2.15542156074163193046191135941776830967435062260357802513121707941306383685\
20749620501973592800898842949973062463056`96.53250290249744/z^2 + 
 2.36477765779210088273908020068938605098445110658099616472450492483326613833\
76986049725182846956373221000485974564501`96.50628360694081/z - 
 3.59644053531565670101972163141912840462731113546830574171901196883434834896\
415878666305584445026197877831844154813518572233782337148796`97.75515700969552\
*Sqrt[1 - z^(-1)]*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
 (1.8320511254266316004351355755256400362479111989594369741641936215513572759\
21692811011540470272919625191352604250989000880739969220483719`96.76978231651\
071*Sqrt[1 - z^(-1)]*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])])/
  z^2 + (1.054836399810598060572857778808611677607696025498722051944878321959\
999853776670749323753738879160171354130031417605104651444103886666612`96.8434\
4697357132*Sqrt[1 - z^(-1)]*Log[(-1 + Sqrt[1 - z^(-1)])/
     (1 + Sqrt[1 - z^(-1)])])/z + 4.28206153762170447714648179489851021075057\
18406162751212781695832451524695209621723498327457557939382842111297970446620\
26619639250501626`98.59435166983366*
  Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
 (0.9730400586049565632378020859865986073535111182672406130580295232949504943\
72625289797557867997719238546906122452418675876626672116503986`97.33717972163\
869*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2)/z^2 + 
 (0.7212298877059441122856346501633459230026646571531439185464624487250782892\
29976148160310671662457512507562182580510486376538409472949139`97.56991823667\
637*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2)/z + 
 1.18358417622365188015297100403682528817933675895413556394273524685734694135\
8493427899953565558926717936029933798211235464184146643309512`99.074896230233\
43*Sqrt[1 - z^(-1)]*(1 - 0.25`100./z)*
  Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 - 
 (0.7543403450558156352041798958167558814107358876576479615985850818448253574\
95655329986441790632874683043853951127836159542153083377469692`98.19013344528\
811*Sqrt[1 - z^(-1)]*(1 - 0.25`100./z)*
   Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3)/z^2 + 
 (0.3210797320915828755278338404079560484843758745237065227271755156572564399\
36684326265202744115994763049152120859875845701529877798118343`98.14818955700\
048*Sqrt[1 - z^(-1)]*(1 - 0.25`100./z)*
   Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3)/z + 
 0.07972886542689165782454577552050182696770940038228428518102828768408674839\
6064607152631255914562669962455351192838155520687264859128707`99.337075560511\
68*(1 + 1.`100./z)*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^4 + 
 (0.0817656071929920052825693839571442915983079909801952651500022644341130717\
25997363722854409636552915004717984800679189417481822020226127`98.55623315943\
518*(1 + 1.`100./z)*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^4)/
  z^2 - (0.237031762079948171910811765060951377471568487623007334321975990412\
149792528840723967282112178429559347840233276005327223664841473085344`99.3053\
378332062*(1 + 1.`100./z)*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^
    4)/z + 124.61007074799235522204905184190005500323612338624061563984572803\
576636951728069594456426539675394296329290141053992975186581876210345269`98.7\
2372670988555*pi1[z] + (0.822467033424113218236207583323012594609474950603399\
21886777911468500373520160043691681445030987935265200215948116461726483900449\
6295698`99.26850077083705*(1 + 15.`99.97197127639974*z)*
   Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*pi1[z])/
  (Sqrt[1 - z^(-1)]*z^2) + 153.3404010524739819007467033301464904704392099599\
96538691681635960691330192967917412577612296252631557222831543299003674150736\
702055236941`99.27950977429784*pi1[z]^2 - 
 (15.999999999999999999999999999999999999999999999999999999999999999999999999\
999999999999999999999999999999999999999924331589694578761431541`99.2862709959\
1233*(1 - 5.`100.09691001300806*z)*pi1[z]^3)/z
