
(*
 Rvs.m is a Mathematica package which contains the results for the 
 functions R^{(i),x}_Y (i=0,1,2; x=s,v; Y=FF,FA,FL,FH) as defined in
 K.G. Chetyrkin, M. Steinhauser: "Three-loop non-diagonal current 
 correlators in QCD and NLO corrections to single-top-quark production".
 For the Born and order \alpha_s result the exact formulae are implemented. 
 At order \alpha_s^2 each case is represented by a typical Pade approximant.
 For the renormalization scale \mu^2 = M^2 is adopted where M is the on-shell 
 mass. The functions depend on the variable v = (1-M^2/s)/(1+M^2/s).
 More information on the defined functions can be obtained via 
 the Mathematica commands "?R0*", "?R1*" or "?R2*".  
 Example: In order to evaluate R^{(2),s}_{FL} for v=0.3 it is enough to type 
 R2sFL[0.3]
*)

(* ************************************************************ *)

BeginPackage["Rvs`"];

R0v::usage = "corresponds to R^(0),v";
R1v::usage = "corresponds to R^(1),v";
R2vFF::usage = "corresponds to R^(2),v_FF";
R2vFA::usage = "corresponds to R^(2),v_FA";
R2vFL::usage = "corresponds to R^(2),v_FL";
R2vFH::usage = "corresponds to R^(2),v_FH";

R0s::usage = "corresponds to R^(0),s";
R1s::usage = "corresponds to R^(1),s";
R2sFF::usage = "corresponds to R^(2),s_FF";
R2sFA::usage = "corresponds to R^(2),s_FA";
R2sFL::usage = "corresponds to R^(2),s_FL";
R2sFH::usage = "corresponds to R^(2),s_FH";

Print["Rvs loaded"];

Begin["`Private`"]

z2v = {z->(1+v)/(1-v)};
x2v = {x->Sqrt[(1-v)/(1+v)]};

R0v[vv_] := Rv10os1l[x,1]/.x2v/.v->vv;
R1v[vv_] := 3/4*Rv10os2l[x,1]/.x2v/.v->vv;
R2vFF[vv_] := Im[Evaluate[3*3/4/Pi*(respiv3lffsub2r608pade67+
				    piv3lffthrsub)/.z2v]/.v->vv];
R2vFA[vv_] := Im[Evaluate[3*3/4/Pi*(respiv3lfasub2r508pade57+
				    piv3lfathrsub)/.z2v]/.v->vv];
R2vFL[vv_] := Im[Evaluate[3*3/4/Pi*(respiv3lflsub2r608pade67+
				    piv3lflthrsub)/.z2v]/.v->vv];
R2vFH[vv_] := Im[Evaluate[3*3/4/Pi*(respiv3lfhsub2r608pade67+
				    piv3lfhthrsub)/.z2v]/.v->vv];

R0s[vv_] := Rs10os1l[x,1]/.x2v/.v->vv;
R1s[vv_] := 3/4*Rs10os2l[x,1]/.x2v/.v->vv;
R2sFF[vv_] := Im[Evaluate[3*1/2/Pi*(respis3lffsub2r507pade65+
				    pis3lffthrsub)/.z2v]/.v->vv];
R2sFA[vv_] := Im[Evaluate[3*1/2/Pi*(respis3lfasub2r608pade67+
				    pis3lfathrsub)/.z2v]/.v->vv];
R2sFL[vv_] := Im[Evaluate[3*1/2/Pi*(respis3lflsub2r608pade67+
				    pis3lflthrsub)/.z2v]/.v->vv];
R2sFH[vv_] := Im[Evaluate[3*1/2/Pi*(respis3lfhsub2r608pade67+
				    pis3lfhthrsub)/.z2v]/.v->vv];


Li2AC[z_]  :=   PolyLog[2, z];

Rv10os1l[m_,s_]:= 12*Pi/(-s)*(-3/4/Pi^2)*Imv10T1l[m,s];
Rv10os2l[m_,s_]:= 12*Pi/(-s)*(-1/4/Pi^2)*Imv10T2l[m,s];

Rs10os1l[m_,s_]:=  8*Pi/( s*m^2)*( s*(-3/4)/Pi^2)*Imv10L1l[m,s];
Rs10os2l[m_,s_]:=  8*Pi/( s*m^2)*( s*(-1/4)/Pi^2)*Imv10L2l[m,s];


Imv10T1l[m_,s_] :=  Block[{al=-m^2/s},
			  Pi/2*s*(1-m^2/s)*(  1- m^2/s -1/3*(1-m^2/s)^2 )
			  ];
Imv10L1l[m_,s_]:= Block[{al=-m^2/s},
			Pi/2*s*(1-m^2/s)*( (1-m^2/s)^2 -1 + m^2/s     )
                        ];
Imv10T2l[m_,s_] :=Block[{al=-m^2/s},
			Pi*s*( 
			      1+5/2*al +2/3*al^2 -5/6*al^3
			      - 1/3*(1+al)^2*(4-5*al)*Log[1+al] 
			      - al/3*(5*al^2 +4*al -5)*Log[-al]
			      - 2/3*(2-al)*(1+al)^2*(2*Li2AC[al/(1+al)] 
						-Log[1+al]*Log[-al/(1+al)] )
			      )//Expand
			      ];
Imv10L2l[m_,s_] := Block[{al=-m^2/s},
			 -Pi*s*al*(1+al)*( 
					  (1+al)*(-9/2 +(5+2*al)*Log[1+al] )
					  - (3+7*al+2*al^2)*Log[-al] 
					  + 2*(1+al)*(
						      2*Li2AC[al/(1+al)] 
						- Log[1+al]*Log[-al/(1+al)] 
						      )
					  )//Expand
					  ];



setmu = {lmm->0,lqq->Log[-z]};

piv2lthrsub = 3/2*(1-1/z)^2*(Log[1/(1-z)]^2)/.setmu;
piv3lffthrsub = ((1-1/z)^2*( (49/16+5/6*Pi^2) * Log[1/(1-z)]^2 
                           + 3/4 * Log[1/(1-z)]^3))/.setmu;
piv3lfathrsub = ((1-1/z)^2*( 1/3*(423/16+33/8*lmm+19/12*Pi^2) * Log[1/(1-z)]^2 
                           + 11/12 * Log[1/(1-z)]^3))/.setmu;
piv3lflthrsub = ((1-1/z)^2*( 1/3*(-39/4-3/2*lmm-2/3*Pi^2) * Log[1/(1-z)]^2 
                           + (-1/3) * Log[1/(1-z)]^3))/.setmu;
piv3lfhthrsub = 0;
pis2lthrsub = 3/2*(1-1/z)^2*(Log[1/(1-z)]^2)/.setmu;
pis3lffthrsub = ((1-1/z)^2*( (73/16+5/6*Pi^2) * Log[1/(1-z)]^2 
                           + 3/4 * Log[1/(1-z)]^3))/.setmu;
pis3lfathrsub = ((1-1/z)^2*( 1/3*(423/16+33/8*lmm+19/12*Pi^2) * Log[1/(1-z)]^2 
                           + 11/12 * Log[1/(1-z)]^3))/.setmu;
pis3lflthrsub = ((1-1/z)^2*( 1/3*(-39/4-3/2*lmm-2/3*Pi^2) * Log[1/(1-z)]^2 
                           + (-1/3) * Log[1/(1-z)]^3))/.setmu;
pis3lfhthrsub = 0;

respiv3lffsub2r608pade67 = 1362446818312961/1051247597400000 - 
     (54224227*Pi^2)/11351340 + (107*Pi^4)/810 + 
     (11*Im[PolyLog[2, E^(I/3*Pi)]])/(2*Sqrt[3]) - 
     (8*Im[PolyLog[2, E^(I/3*Pi)]]^2)/3 - (8*Pi^2*Log[2])/715 + 
     (8*Pi^2*Log[2]^2)/9 - (8*Log[2]^4)/9 + (3185114486681*Log[4])/
      278107830000 + (520115*Pi^2*Log[4])/108108 - (1881507127*Log[4]^2)/
      2383781400 - (5*Pi^2*Log[4]^2)/6 - (3*Log[4]^3)/4 - 
     (64*PolyLog[4, 1/2])/3 - (14353751*Zeta[3])/945945 - 
     (18743265473806503630*Sqrt[(-1 + z)/z]*z + 127613949412950000*Pi^2*
        Sqrt[(-1 + z)/z]*z + 68673376658102266050*Sqrt[(-1 + z)/z]*z^2 + 
       130859467789050000*Pi^2*Sqrt[(-1 + z)/z]*z^2 + 
       51419747968817284056*Sqrt[(-1 + z)/z]*z^3 + 182390901933240000*Pi^2*
        Sqrt[(-1 + z)/z]*z^3 + 18342869310739620504*Sqrt[(-1 + z)/z]*z^4 + 
       336962916009720000*Pi^2*Sqrt[(-1 + z)/z]*z^4 - 
       12642781051030397696*Sqrt[(-1 + z)/z]*z^5 + 1289273573427840000*Pi^2*
        Sqrt[(-1 + z)/z]*z^5 + 53397705812366852352*Sqrt[(-1 + z)/z]*z^6 - 
       3507686230688640000*Pi^2*Sqrt[(-1 + z)/z]*z^6 + 
       66477062036878251008*Sqrt[(-1 + z)/z]*z^7 + 3405862178772480000*Pi^2*
        Sqrt[(-1 + z)/z]*z^7 + 1262454734102872064*Sqrt[(-1 + z)/z]*z^8 - 
       4549997828436480000*Pi^2*Sqrt[(-1 + z)/z]*z^8 - 
       206044529090400000*Pi^2*Sqrt[(-1 + z)/z]*z*Log[2] - 
       217257836796000000*Pi^2*Sqrt[(-1 + z)/z]*z^2*Log[2] - 
       314533281142080000*Pi^2*Sqrt[(-1 + z)/z]*z^3*Log[2] - 
       607761277643520000*Pi^2*Sqrt[(-1 + z)/z]*z^4*Log[2] - 
       2331513655511040000*Pi^2*Sqrt[(-1 + z)/z]*z^5*Log[2] + 
       3213122353459200000*Pi^2*Sqrt[(-1 + z)/z]*z^6*Log[2] + 
       4047228149207040000*Pi^2*Sqrt[(-1 + z)/z]*z^7*Log[2] - 
       1447347890257920000*Pi^2*Sqrt[(-1 + z)/z]*z^8*Log[2] + 
       190934415499198971600*Sqrt[(-1 + z)/z]*z*Log[4] + 
       15768713961000000*Pi^2*Sqrt[(-1 + z)/z]*z*Log[4] + 
       43689995264508793200*Sqrt[(-1 + z)/z]*z^2*Log[4] + 
       19272872619000000*Pi^2*Sqrt[(-1 + z)/z]*z^2*Log[4] + 
       17925218854969345920*Sqrt[(-1 + z)/z]*z^3*Log[4] + 
       31771038499200000*Pi^2*Sqrt[(-1 + z)/z]*z^3*Log[4] + 
       16348107162158291520*Sqrt[(-1 + z)/z]*z^4*Log[4] + 
       65611199253600000*Pi^2*Sqrt[(-1 + z)/z]*z^4*Log[4] + 
       60967253848208547840*Sqrt[(-1 + z)/z]*z^5*Log[4] + 
       187956395827200000*Pi^2*Sqrt[(-1 + z)/z]*z^5*Log[4] + 
       4808939370758315520*Sqrt[(-1 + z)/z]*z^6*Log[4] + 
       1254595997491200000*Pi^2*Sqrt[(-1 + z)/z]*z^6*Log[4] - 
       13334268551626874880*Sqrt[(-1 + z)/z]*z^7*Log[4] - 
       5870719843430400000*Pi^2*Sqrt[(-1 + z)/z]*z^7*Log[4] + 
       12463246038353080320*Sqrt[(-1 + z)/z]*z^8*Log[4] + 
       5179007248128000000*Pi^2*Sqrt[(-1 + z)/z]*z^8*Log[4] + 
       48614358421647018000*Sqrt[(-1 + z)/z]*z*Log[4]^2 + 
       14000813085497238000*Sqrt[(-1 + z)/z]*z^2*Log[4]^2 + 
       1097763196851921600*Sqrt[(-1 + z)/z]*z^3*Log[4]^2 - 
       3016123812197496000*Sqrt[(-1 + z)/z]*z^4*Log[4]^2 - 
       17408090807935027200*Sqrt[(-1 + z)/z]*z^5*Log[4]^2 + 
       401385714786201600*Sqrt[(-1 + z)/z]*z^6*Log[4]^2 - 
       7135859387530137600*Sqrt[(-1 + z)/z]*z^7*Log[4]^2 + 
       2447053951007232000*Sqrt[(-1 + z)/z]*z^8*Log[4]^2 - 
       9371632736903251815*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 63806974706475000*Pi^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       23632627003185985785*z*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 22891750756875000*Pi^2*z*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       4917506462454836250*z^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 41903897285250000*Pi^2*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       119913846780447720*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 99167690021400000*Pi^2*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       149557275217350000*z^4*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 519783534270000000*Pi^2*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       9398361174602400000*z^5*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 2205283848768000000*Pi^2*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       11479623763608000000*z^6*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 1009197693504000000*Pi^2*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       11370294013478400000*z^7*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 448532308224000000*Pi^2*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       134559692467200000*z^8*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 103022264545200000*Pi^2*Log[2]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       39947408701200000*Pi^2*z*Log[2]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 75689827012800000*Pi^2*z^2*Log[2]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       185019577142400000*Pi^2*z^3*Log[2]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 941917847270400000*Pi^2*z^4*Log[2]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       2422074464409600000*Pi^2*z^5*Log[2]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 1076477539737600000*Pi^2*z^6*Log[2]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       2152955079475200000*Pi^2*z^7*Log[2]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 95467207749599485800*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       7884356980500000*Pi^2*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 72562419286529772600*z*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       4380198322500000*Pi^2*z*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 24112531889962916400*z^2*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       8760396645000000*Pi^2*z^2*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 5812462071813196800*z^3*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       21024951948000000*Pi^2*z^3*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 16772979875652000000*z^4*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       70083173160000000*Pi^2*z^4*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 3142529484494400000*z^5*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       560665385280000000*Pi^2*z^5*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 16096703211388800000*z^6*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       3363992311680000000*Pi^2*z^6*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 16079883249830400000*z^7*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       4485323082240000000*Pi^2*z^7*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 6593424930892800000*z^8*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       1794129232896000000*Pi^2*z^8*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 24307179210823509000*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       9204379597800387000*z*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 6278694248812986000*z^2*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       3525116641582536000*z^3*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 8674817303552400000*z^4*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       5495143737283200000*z^5*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 3330352388563200000*z^6*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       3633111696614400000*z^7*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 2422074464409600000*z^8*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       42065566227699814800*Sqrt[(-1 + z)/z]*z*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       11821301698313507400*Sqrt[(-1 + z)/z]*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       430199017346498400*Sqrt[(-1 + z)/z]*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       6193762657582500000*Sqrt[(-1 + z)/z]*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       3610685081203200000*Sqrt[(-1 + z)/z]*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       5264647967779200000*Sqrt[(-1 + z)/z]*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       897064616448000000*Pi^2*Sqrt[(-1 + z)/z]*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       6391585392192000000*Sqrt[(-1 + z)/z]*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       1794129232896000000*Pi^2*Sqrt[(-1 + z)/z]*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       3296712465446400000*Sqrt[(-1 + z)/z]*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       897064616448000000*Pi^2*Sqrt[(-1 + z)/z]*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       15381305876192256000*Sqrt[(-1 + z)/z]*z*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       10140019728943104000*Sqrt[(-1 + z)/z]*z^2*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       6445209921486336000*Sqrt[(-1 + z)/z]*z^3*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       6703066161792000000*Sqrt[(-1 + z)/z]*z^4*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       4435486159104000000*Sqrt[(-1 + z)/z]*z^5*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       2422074464409600000*Sqrt[(-1 + z)/z]*z^6*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       2422074464409600000*Sqrt[(-1 + z)/z]*z^7*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       2422074464409600000*Sqrt[(-1 + z)/z]*z^8*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       8102393070274503000*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 + 3068126532600129000*z*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 + 
       2092898082937662000*z^2*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 + 1175038880527512000*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 + 
       2891605767850800000*z^4*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 - 1831714579094400000*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 + 
       1110117462854400000*z^6*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 - 1211037232204800000*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 + 
       807358154803200000*z^8*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 + 7479506512918440000*Sqrt[(-1 + z)/z]*z*
        Zeta[3] + 6275918120832360000*Sqrt[(-1 + z)/z]*z^2*Zeta[3] + 
       6977356572474288000*Sqrt[(-1 + z)/z]*z^3*Zeta[3] + 
       9856042075623744000*Sqrt[(-1 + z)/z]*z^4*Zeta[3] + 
       22609280956534272000*Sqrt[(-1 + z)/z]*z^5*Zeta[3] - 
       21718023127557120000*Sqrt[(-1 + z)/z]*z^6*Zeta[3] - 
       19731009596562432000*Sqrt[(-1 + z)/z]*z^7*Zeta[3] + 
       2563712038379520000*Sqrt[(-1 + z)/z]*z^8*Zeta[3] - 
       3739753256459220000*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 644790222776700000*z*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 
       1064283067607760000*z^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 2165009385258720000*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 
       7479276239635200000*z^4*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 19129902945753600000*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 
       4036790774016000000*z^6*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 8073581548032000000*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3])/
      (1076477539737600000*Sqrt[(-1 + z)/z]*z^8) + 10*Zeta[5] + 
     (79070696642332667/1051247597400000 + (79974539*Pi^2)/22702680 - 
       (121*Pi^4)/480 - (39*Sqrt[3]*Im[PolyLog[2, E^(I/3*Pi)]])/4 - 
       (3*Im[PolyLog[2, E^(I/3*Pi)]]^2)/2 + (248621*Pi^2*Log[2])/90090 - 
       (4*Pi^2*Log[2]^2)/3 + (4*Log[2]^4)/3 - (4799851657703*Log[4])/
        208580872500 - (77791*Pi^2*Log[4])/15444 - 2*Pi^2*Log[2]*Log[4] - 
       (4120351891*Log[4]^2)/5959453500 + (5*Pi^2*Log[4]^2)/3 + 
       (3*Log[4]^3)/4 + 32*PolyLog[4, 1/2] + (31654027*Zeta[3])/1401400 + 
       (15*Log[4]*Zeta[3])/2 - (85*Zeta[5])/3 + 
       (615192510015817/11980029600000 - (2021737*Pi^2)/1270080 - 
         (Pi^2*Log[2])/66 + (3774952868501*Log[4])/385072380000 + 
         (76883*Pi^2*Log[4])/33264 - (33136434983*Log[4]^2)/7334712000 - 
         (5*Pi^2*Log[4]^2)/6 - (3*Log[4]^3)/4 - (244183*Zeta[3])/194040 - 
         (80*Zeta[5])/3 + (-491102631275437/29405527200000 + 
           (369287*Pi^2)/211680 + (5*Pi^4)/54 - (7033*Pi^2*Log[2])/2520 + 
           (4*Pi^2*Log[2]^2)/9 - (4*Log[2]^4)/9 + (4669777926869*Log[4])/
            70013160000 - (1259*Pi^2*Log[4])/1008 + 2*Pi^2*Log[2]*Log[4] - 
           (241101031*Log[4]^2)/12348000 + (445*Log[4]^3)/324 - 
           (32*PolyLog[4, 1/2])/3 + (4150141*Zeta[3])/352800 - 
           (101*Log[4]*Zeta[3])/6 + (-1745393177886853/313658956800000 + 
             (99097*Pi^2)/6773760 - (11*Pi^2*Log[2])/480 + 
             (1110647523283*Log[4])/55319040000 + (41*Pi^2*Log[4])/32256 + 
             (51839839*Log[4]^2)/17561600 - (1345*Log[4]^3)/648 + 
             (38317403*Zeta[3])/1411200 - Log[4]*Zeta[3] + 
             (259080301206701/4978713600000 + (37589*Pi^2)/1935360 - 
               (39*Pi^2*Log[2])/1280 + (4348814451841*Log[4])/213373440000 + 
               (Pi^2*Log[4])/576 + (630099473*Log[4]^2)/1016064000 - 
               (64663*Log[4]^3)/32400 + (2237281*Zeta[3])/193536 - 
               (3*Log[4]*Zeta[3])/10 + (1998711531099391/23897825280000 + 
                 (44371*Pi^2)/1548288 + ((-169.486643302676341101840795795610\
344274483804654736811546286`50 - 
                    353.98522930425384277566670668745936806346541216321381610\
586`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z) - 
                    328.22542406225605628529008091229910294924842304807634800\
7836`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2 - 
                    159.39344141750161157461155514189464203191250373357014223\
1065`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^3 - 
                    59.864952538877306985628503357799464817189386904000497221\
3827782764115`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^4 - 
                    29.287242297453649160862221195014744286821439599493236697\
1450509541486`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^5 - 
                    9.5349262189876482209181702035375560918965693236704270612\
138675615671`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^6)*
                   (2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2)/(1 + 1.9746709617705848\
71898169583522695464563741617416410355381230759357`50*(-1 + 2*Sqrt[z^(-2) - 
                        z^(-1)] + 2/z) + 2.1272476772210927493727021167584708\
901337973106386760369091208982458`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2 + 
                   1.31922087476292032019812550081488302713937341590888501079\
859848`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^3 + 
                   0.62364708384864151742044535654367235919826874862628657955\
06323`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^4 + 
                   0.25024355651711951829474777070803913896362664687642171055\
366507`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^5 + 
                   0.09500999332524621199621951187578279097183979634647122944\
525215`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^6 + 
                   0.02368872238623972379161386078977789374584718386970310984\
241135`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^7) - (173*Pi^2*Log[2])/3840 + 
                 (10279167081989*Log[4])/213373440000 + (49*Pi^2*Log[4])/
                  18432 + (2742925237*Log[4]^2)/1354752000 - (25433*Log[4]^3)/
                  8100 + (3540931*Zeta[3])/179200 - (2*Log[4]*Zeta[3])/15)/z)/
              z)/z + (5*Zeta[5])/3)/z)/z)/z


respiv3lfasub2r508pade57 = -127645741639109/2681754075000 - 
     (442352333*Pi^2)/151351200 - (41*Pi^4)/540 - 
     (11*Im[PolyLog[2, E^(I/3*Pi)]])/(4*Sqrt[3]) + 
     (4*Im[PolyLog[2, E^(I/3*Pi)]]^2)/3 + (4*Pi^2*Log[2])/715 - 
     (4*Pi^2*Log[2]^2)/9 + (4*Log[2]^4)/9 + (1748174314021*Log[4])/
      51081030000 + (1976437*Pi^2*Log[4])/648648 - 
     (1928231*Log[4]^2)/17199000 - (19*Pi^2*Log[4]^2)/36 - (11*Log[4]^3)/12 + 
     (32*PolyLog[4, 1/2])/3 + (1566031*Zeta[3])/420420 - 
     (11*Log[4]*Zeta[3])/3 - (-935276515014531690*Sqrt[(-1 + z)/z]*z - 
       5011125664545000*Pi^2*Sqrt[(-1 + z)/z]*z - 4717705459427270310*
        Sqrt[(-1 + z)/z]*z^2 - 5618552894955000*Pi^2*Sqrt[(-1 + z)/z]*z^2 - 
       3507075949695245928*Sqrt[(-1 + z)/z]*z^3 - 8772961821624000*Pi^2*
        Sqrt[(-1 + z)/z]*z^3 - 1144748467417790664*Sqrt[(-1 + z)/z]*z^4 - 
       18350838838332000*Pi^2*Sqrt[(-1 + z)/z]*z^4 - 117035465646573760*
        Sqrt[(-1 + z)/z]*z^5 - 70705214483904000*Pi^2*Sqrt[(-1 + z)/z]*z^5 - 
       5296422128266833408*Sqrt[(-1 + z)/z]*z^6 - 59164755564096000*Pi^2*
        Sqrt[(-1 + z)/z]*z^6 + 3601614849110052608*Sqrt[(-1 + z)/z]*z^7 + 
       633373125783552000*Pi^2*Sqrt[(-1 + z)/z]*z^7 - 
       8413341223036266496*Sqrt[(-1 + z)/z]*z^8 - 527971211373312000*Pi^2*
        Sqrt[(-1 + z)/z]*z^8 + 14717466363600000*Pi^2*Sqrt[(-1 + z)/z]*z*
        Log[2] + 15518416914000000*Pi^2*Sqrt[(-1 + z)/z]*z^2*Log[2] + 
       22466662938720000*Pi^2*Sqrt[(-1 + z)/z]*z^3*Log[2] + 
       43411519831680000*Pi^2*Sqrt[(-1 + z)/z]*z^4*Log[2] + 
       166536689679360000*Pi^2*Sqrt[(-1 + z)/z]*z^5*Log[2] - 
       229508739532800000*Pi^2*Sqrt[(-1 + z)/z]*z^6*Log[2] - 
       289087724943360000*Pi^2*Sqrt[(-1 + z)/z]*z^7*Log[2] + 
       103381992161280000*Pi^2*Sqrt[(-1 + z)/z]*z^8*Log[2] - 
       13795511516404417800*Sqrt[(-1 + z)/z]*z*Log[4] + 
       1426693167900000*Pi^2*Sqrt[(-1 + z)/z]*z*Log[4] - 
       3244908369454151400*Sqrt[(-1 + z)/z]*z^2*Log[4] + 
       1743736094100000*Pi^2*Sqrt[(-1 + z)/z]*z^2*Log[4] - 
       1415338119286050960*Sqrt[(-1 + z)/z]*z^3*Log[4] + 
       2874522530880000*Pi^2*Sqrt[(-1 + z)/z]*z^3*Log[4] - 
       1308577943525973120*Sqrt[(-1 + z)/z]*z^4*Log[4] + 
       5936251361040000*Pi^2*Sqrt[(-1 + z)/z]*z^4*Log[4] - 
       3264008789002241280*Sqrt[(-1 + z)/z]*z^5*Log[4] + 
       17005578670080000*Pi^2*Sqrt[(-1 + z)/z]*z^5*Log[4] + 
       871266593887173120*Sqrt[(-1 + z)/z]*z^6*Log[4] + 
       113511066439680000*Pi^2*Sqrt[(-1 + z)/z]*z^6*Log[4] - 
       4813014284744924160*Sqrt[(-1 + z)/z]*z^7*Log[4] - 
       531160366786560000*Pi^2*Sqrt[(-1 + z)/z]*z^7*Log[4] + 
       4474848321225461760*Sqrt[(-1 + z)/z]*z^8*Log[4] + 
       468576846259200000*Pi^2*Sqrt[(-1 + z)/z]*z^8*Log[4] - 
       3384153444816144000*Sqrt[(-1 + z)/z]*z*Log[4]^2 - 
       930473084985444000*Sqrt[(-1 + z)/z]*z^2*Log[4]^2 - 
       11350324282096800*Sqrt[(-1 + z)/z]*z^3*Log[4]^2 + 
       266255152771608000*Sqrt[(-1 + z)/z]*z^4*Log[4]^2 + 
       706054431270988800*Sqrt[(-1 + z)/z]*z^5*Log[4]^2 + 
       929643106004121600*Sqrt[(-1 + z)/z]*z^6*Log[4]^2 - 
       743054969505945600*Sqrt[(-1 + z)/z]*z^7*Log[4]^2 + 
       1267483669137100800*Sqrt[(-1 + z)/z]*z^8*Log[4]^2 + 
       467638257507265845*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 2505562832272500*Pi^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       1721777109322745475*z*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 1138901225962500*Pi^2*z*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       294830508481539030*z^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 2290913249625000*Pi^2*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       98237005876409400*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 5895329780340000*Pi^2*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       225310758022350000*z^4*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 28661792959800000*Pi^2*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       1326020605509600000*z^5*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 4894697808000000*Pi^2*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       1807344916977600000*z^6*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 177811022188800000*Pi^2*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       2101694244249600000*z^7*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 132423824332800000*Pi^2*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       788135341593600000*z^8*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 7358733181800000*Pi^2*Log[2]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       2853386335800000*Pi^2*z*Log[2]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 5406416215200000*Pi^2*z^2*Log[2]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       13215684081600000*Pi^2*z^3*Log[2]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 67279846233600000*Pi^2*z^4*Log[2]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       173005318886400000*Pi^2*z^5*Log[2]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 76891252838400000*Pi^2*z^6*Log[2]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       153782505676800000*Pi^2*z^7*Log[2]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 6897755758202208900*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       713346583950000*Pi^2*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 5157830816723484900*z*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       396303657750000*Pi^2*z*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 1678227831824544000*z^2*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       792607315500000*Pi^2*z^2*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 338343946520580000*z^3*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       1902257557200000*Pi^2*z^3*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 824155867735200000*z^4*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       6340858524000000*Pi^2*z^4*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 1416540378052800000*z^5*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       50726868192000000*Pi^2*z^5*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 3608282229552000000*z^6*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       304361209152000000*Pi^2*z^6*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 5308700248051200000*z^7*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       405814945536000000*Pi^2*z^7*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 2569449365683200000*z^8*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       162325978214400000*Pi^2*z^8*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 1692076722408072000*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       662814605779326000*z*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 454889352623706000*z^2*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       249887672274240000*z^3*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 328400849977200000*z^4*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       260397923385600000*z^5*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 687215572243200000*z^6*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       845803781222400000*z^7*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 422901890611200000*z^8*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       3012486648621149700*Sqrt[(-1 + z)/z]*z*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       860588429167467000*Sqrt[(-1 + z)/z]*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       74576375964090000*Sqrt[(-1 + z)/z]*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       256303249101900000*Sqrt[(-1 + z)/z]*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       400104464760000000*Sqrt[(-1 + z)/z]*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       958737808828800000*Sqrt[(-1 + z)/z]*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       81162989107200000*Pi^2*Sqrt[(-1 + z)/z]*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       2011987782604800000*Sqrt[(-1 + z)/z]*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       162325978214400000*Pi^2*Sqrt[(-1 + z)/z]*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       1284724682841600000*Sqrt[(-1 + z)/z]*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       81162989107200000*Pi^2*Sqrt[(-1 + z)/z]*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       1090890581324544000*Sqrt[(-1 + z)/z]*z*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       709193655346176000*Sqrt[(-1 + z)/z]*z^2*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       424183411491840000*Sqrt[(-1 + z)/z]*z^3*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       349570417996800000*Sqrt[(-1 + z)/z]*z^4*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       101809714406400000*Sqrt[(-1 + z)/z]*z^5*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       422901890611200000*Sqrt[(-1 + z)/z]*z^6*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       634352835916800000*Sqrt[(-1 + z)/z]*z^7*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       422901890611200000*Sqrt[(-1 + z)/z]*z^8*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       564025574136024000*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^
         3 - 220938201926442000*z*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 - 151629784207902000*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 - 
       83295890758080000*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 - 109466949992400000*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 - 
       86799307795200000*z^5*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 + 229071857414400000*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 - 
       281934593740800000*z^7*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 + 140967296870400000*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 - 
       643922049590820000*Sqrt[(-1 + z)/z]*z*Zeta[3] - 
       518869830859380000*Sqrt[(-1 + z)/z]*z^2*Zeta[3] - 
       538631521692264000*Sqrt[(-1 + z)/z]*z^3*Zeta[3] - 
       663179209684992000*Sqrt[(-1 + z)/z]*z^4*Zeta[3] - 
       796995997814016000*Sqrt[(-1 + z)/z]*z^5*Zeta[3] + 
       191649981519360000*Sqrt[(-1 + z)/z]*z^6*Zeta[3] - 
       823275575668224000*Sqrt[(-1 + z)/z]*z^7*Zeta[3] + 
       1879978878167040000*Sqrt[(-1 + z)/z]*z^8*Zeta[3] + 
       321961024795410000*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*
        Zeta[3] + 44794232232750000*z*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 67740392800080000*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 
       115356903021360000*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 134159217192000000*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 
       414892385107200000*z^5*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 410086681804800000*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 
       1243075254220800000*z^7*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 563869187481600000*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3])/
      (153782505676800000*Sqrt[(-1 + z)/z]*z^8) + 
     (4154959134411143/600712912800000 + (213303121*Pi^2)/61916400 + 
       (427*Pi^4)/2880 + (39*Sqrt[3]*Im[PolyLog[2, E^(I/3*Pi)]])/8 + 
       (3*Im[PolyLog[2, E^(I/3*Pi)]]^2)/4 - (248621*Pi^2*Log[2])/180180 + 
       (2*Pi^2*Log[2]^2)/3 - (2*Log[2]^4)/3 - (2246142270929*Log[4])/
        52972920000 - (249908*Pi^2*Log[4])/57915 + Pi^2*Log[2]*Log[4] + 
       (56199192757*Log[4]^2)/6810804000 + (19*Pi^2*Log[4]^2)/18 + 
       (11*Log[4]^3)/8 - 16*PolyLog[4, 1/2] + (213905339*Zeta[3])/25225200 + 
       (25*Log[4]*Zeta[3])/4 + (-8257725485269/320893650000 - 
         (426115133*Pi^2)/419126400 + (Pi^2*Log[2])/132 + 
         (1375998126887*Log[4])/110020680000 + (1460777*Pi^2*Log[4])/997920 - 
         (66080111*Log[4]^2)/349272000 - (19*Pi^2*Log[4]^2)/36 - 
         (11*Log[4]^3)/12 + (391526*Zeta[3])/24255 + 
         (28010192054699/3360631680000 - (5905649*Pi^2)/12700800 - 
           (5*Pi^4)/108 + (7033*Pi^2*Log[2])/5040 - (2*Pi^2*Log[2]^2)/9 + 
           (2*Log[2]^4)/9 - (1099993751917*Log[4])/40007520000 + 
           (10099*Pi^2*Log[4])/30240 - Pi^2*Log[2]*Log[4] + 
           (1370354467*Log[4]^2)/190512000 + (143*Log[4]^3)/648 + 
           (16*PolyLog[4, 1/2])/3 - (4028491*Zeta[3])/2116800 + 
           (13*Log[4]*Zeta[3])/4 + (247420982767223/44808422400000 - 
             (736697*Pi^2)/203212800 + (11*Pi^2*Log[2])/960 - 
             (906694395557*Log[4])/71124480000 + (779*Pi^2*Log[4])/967680 + 
             (4383581*Log[4]^2)/67737600 + (491*Log[4]^3)/648 - 
             (85951837*Zeta[3])/5644800 + Log[4]*Zeta[3] + 
             (-9843689924237/400075200000 - (140447*Pi^2)/29030400 + 
               (39*Pi^2*Log[2])/2560 - (345477096539*Log[4])/30481920000 + 
               (19*Pi^2*Log[4])/17280 + (119355421*Log[4]^2)/290304000 + 
               (331*Log[4]^3)/360 - (65229721*Zeta[3])/9676800 + (3*Log[4]*
                 Zeta[3])/10 + (-414525499958543/10241925120000 - 
                 (334043*Pi^2)/46448640 + ((84.360061172695317398559511882945\
93091925781520267066189310889812`50 + 
                    189.14274425965537749561168736594530129465218191028213852\
3811`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z) + 
                    174.79347075987698402588789633538708865446603641408925929\
7385`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2 + 
                    67.614989744584978510226897106753717202026814545085001894\
0930621365249`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^3 + 
                    1.6647783880194751870579777368610574100342257432669525310\
4298608`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^4 - 
                    4.2827613490628311233864356279888334599803523997975428996\
483337359333`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^5)*
                   (2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2)/(1 + 2.1269480239108787\
1623456261921432766149513732978812827851349795`50*(-1 + 2*Sqrt[z^(-2) - 
                        z^(-1)] + 2/z) + 2.2443207775044330473133970479012732\
869477306527135407729349770543684`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2 + 
                   1.23001079175242492121460315162408494954082819095920523961\
63157310607`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^3 + 
                   0.31836223303821689591679789339859574349529935631410872654\
085189`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^4 - 
                   0.01013054408318134334301151241168835344889865003099302267\
874615`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^5 - 
                   0.02460819998987713389957110013463717776122971461845124140\
104901`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^6 - 
                   0.00029724711088271908495167728578832820153136945444230601\
4971503108312757`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^7) + 
                 (173*Pi^2*Log[2])/7680 - (1520193711349*Log[4])/
                  60963840000 + (931*Pi^2*Log[4])/552960 - 
                 (17590033*Log[4]^2)/38707200 + (2767*Log[4]^3)/1800 - 
                 (17265679*Zeta[3])/1612800 + (2*Log[4]*Zeta[3])/15)/z)/z)/
            z - (5*Zeta[5])/2)/z - 20*Zeta[5])/z - (65*Zeta[5])/6)/z - 
     (5*Zeta[5])/3


respiv3lflsub2r608pade67 = 24087375963499/1501782282000 + 
     (198223253*Pi^2)/170270100 - (14034138037*Log[4])/993242250 - 
     (104023*Pi^2*Log[4])/81081 + (1064809*Log[4]^2)/1702701 + 
     (2*Pi^2*Log[4]^2)/9 + Log[4]^3/3 + (1217*Zeta[3])/1365 + 
     (4*Log[4]*Zeta[3])/3 - (-8245164950052030*Sqrt[(-1 + z)/z]*z - 
       243074189358000*Pi^2*Sqrt[(-1 + z)/z]*z - 4890332947469970*
        Sqrt[(-1 + z)/z]*z^2 - 249256129122000*Pi^2*Sqrt[(-1 + z)/z]*z^2 - 
       5809440109328856*Sqrt[(-1 + z)/z]*z^3 - 347411241777600*Pi^2*
        Sqrt[(-1 + z)/z]*z^3 - 9679665312067608*Sqrt[(-1 + z)/z]*z^4 - 
       641834125732800*Pi^2*Sqrt[(-1 + z)/z]*z^4 - 27927329784246464*
        Sqrt[(-1 + z)/z]*z^5 - 2455759187481600*Pi^2*Sqrt[(-1 + z)/z]*z^5 + 
       55852276563582720*Sqrt[(-1 + z)/z]*z^6 + 6681307106073600*Pi^2*
        Sqrt[(-1 + z)/z]*z^6 - 102029372578743552*Sqrt[(-1 + z)/z]*z^7 - 
       6487356530995200*Pi^2*Sqrt[(-1 + z)/z]*z^7 + 144294470452474880*
        Sqrt[(-1 + z)/z]*z^8 + 8666662530355200*Pi^2*Sqrt[(-1 + z)/z]*z^8 + 
       5295396818111400*Sqrt[(-1 + z)/z]*z*Log[4] - 30035645640000*Pi^2*
        Sqrt[(-1 + z)/z]*z*Log[4] + 4231752952026600*Sqrt[(-1 + z)/z]*z^2*
        Log[4] - 36710233560000*Pi^2*Sqrt[(-1 + z)/z]*z^2*Log[4] + 
       4568054962751280*Sqrt[(-1 + z)/z]*z^3*Log[4] - 
       60516263808000*Pi^2*Sqrt[(-1 + z)/z]*z^3*Log[4] + 
       6074823339224640*Sqrt[(-1 + z)/z]*z^4*Log[4] - 
       124973712864000*Pi^2*Sqrt[(-1 + z)/z]*z^4*Log[4] + 
       13071115733195520*Sqrt[(-1 + z)/z]*z^5*Log[4] - 
       358012182528000*Pi^2*Sqrt[(-1 + z)/z]*z^5*Log[4] - 
       31308763753612800*Sqrt[(-1 + z)/z]*z^6*Log[4] - 
       2389706661888000*Pi^2*Sqrt[(-1 + z)/z]*z^6*Log[4] + 
       86878186670822400*Sqrt[(-1 + z)/z]*z^7*Log[4] + 
       11182323511296000*Pi^2*Sqrt[(-1 + z)/z]*z^7*Log[4] - 
       94547707878113280*Sqrt[(-1 + z)/z]*z^8*Log[4] - 
       9864775710720000*Pi^2*Sqrt[(-1 + z)/z]*z^8*Log[4] - 
       1751983977744000*Sqrt[(-1 + z)/z]*z*Log[4]^2 - 
       1381337753796000*Sqrt[(-1 + z)/z]*z^2*Log[4]^2 - 
       1372641719248800*Sqrt[(-1 + z)/z]*z^3*Log[4]^2 - 
       1471575912206400*Sqrt[(-1 + z)/z]*z^4*Log[4]^2 + 
       1271480847436800*Sqrt[(-1 + z)/z]*z^5*Log[4]^2 - 
       8877651584256000*Sqrt[(-1 + z)/z]*z^6*Log[4]^2 + 
       19037972675635200*Sqrt[(-1 + z)/z]*z^7*Log[4]^2 - 
       18899629217280000*Sqrt[(-1 + z)/z]*z^8*Log[4]^2 + 
       4122582475026015*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       121537094679000*Pi^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 664727918829975*z*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       43603334775000*Pi^2*z*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 1234658197142370*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       79816947210000*Pi^2*z^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 2802979971431640*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       188890838136000*Pi^2*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 10913538365730000*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       990063874800000*Pi^2*z^4*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 25265045725920000*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       4200540664320000*Pi^2*z^5*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 33720018171840000*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       1922281320960000*Pi^2*z^6*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 42290189061120000*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       854347253760000*Pi^2*z^7*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 14096729687040000*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       2647698409055700*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 15017822820000*Pi^2*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       472793810989500*z*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 8343234900000*Pi^2*z*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       825234926115600*z^2*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 16686469800000*Pi^2*z^2*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       1634969975839200*z^3*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 40047527520000*Pi^2*z^3*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       5647443001200000*z^4*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 133491758400000*Pi^2*z^4*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       24844299480000000*z^5*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 1067934067200000*Pi^2*z^5*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       69362317664640000*z^6*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 6407604403200000*Pi^2*z^6*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       103162430891520000*z^7*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 8543472537600000*Pi^2*z^7*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       47416272583680000*z^8*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 3417389015040000*Pi^2*z^8*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       875991988872000*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 106674217650000*z*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       148008987126000*z^2*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 179768901312000*z^3*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       1239248490480000*z^4*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 4734507697920000*z^5*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       12494828586240000*z^6*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 15378250567680000*z^7*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       7689125283840000*z^8*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 100019778358500*Sqrt[(-1 + z)/z]*z*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       135870507372600*Sqrt[(-1 + z)/z]*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       139087287939600*Sqrt[(-1 + z)/z]*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       18355116780000*Sqrt[(-1 + z)/z]*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       7015733524800000*Sqrt[(-1 + z)/z]*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       17781102218880000*Sqrt[(-1 + z)/z]*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       1708694507520000*Pi^2*Sqrt[(-1 + z)/z]*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       39727147299840000*Sqrt[(-1 + z)/z]*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       3417389015040000*Pi^2*Sqrt[(-1 + z)/z]*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       23708136291840000*Sqrt[(-1 + z)/z]*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       1708694507520000*Pi^2*Sqrt[(-1 + z)/z]*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       61024803840000*Sqrt[(-1 + z)/z]*z*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       113912967168000*Sqrt[(-1 + z)/z]*z^2*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       256304176128000*Sqrt[(-1 + z)/z]*z^3*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       854347253760000*Sqrt[(-1 + z)/z]*z^4*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       1851085716480000*Sqrt[(-1 + z)/z]*z^5*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       7689125283840000*Sqrt[(-1 + z)/z]*z^6*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       11533687925760000*Sqrt[(-1 + z)/z]*z^7*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       7689125283840000*Sqrt[(-1 + z)/z]*z^8*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       291997329624000*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^
         3 + 35558072550000*z*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 + 49336329042000*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 + 
       59922967104000*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^
         3 - 413082830160000*z^4*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 + 1578169232640000*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 - 
       4164942862080000*z^6*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 + 5126083522560000*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 - 
       2563041761280000*z^8*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 - 160190110080000*Sqrt[(-1 + z)/z]*z*
        Zeta[3] - 206912225520000*Sqrt[(-1 + z)/z]*z^2*Zeta[3] - 
       372442005936000*Sqrt[(-1 + z)/z]*z^3*Zeta[3] - 
       914227842528000*Sqrt[(-1 + z)/z]*z^4*Zeta[3] - 
       4660260853248000*Sqrt[(-1 + z)/z]*z^5*Zeta[3] + 
       9603085040640000*Sqrt[(-1 + z)/z]*z^6*Zeta[3] + 
       18748782775296000*Sqrt[(-1 + z)/z]*z^7*Zeta[3] - 
       27888022407168000*Sqrt[(-1 + z)/z]*z^8*Zeta[3] + 
       80095055040000*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*
        Zeta[3] + 50059409400000*z*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 110130700680000*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 
       320380220160000*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 2002376376000000*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 
       6407604403200000*z^5*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 6407604403200000*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 
       20504334090240000*z^7*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 10252167045120000*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3])/
      (7689125283840000*Sqrt[(-1 + z)/z]*z^8) + 
     (-2747036793157/370810440000 - (69464039*Pi^2)/85135050 + 
       (75719252783*Log[4])/4767562800 + (77791*Pi^2*Log[4])/57915 - 
       (33936797*Log[4]^2)/12612600 - (4*Pi^2*Log[4]^2)/9 - Log[4]^3/2 - 
       (501049*Zeta[3])/90090 - 2*Log[4]*Zeta[3] + 
       (640169307091/154028952000 + (2021737*Pi^2)/4762800 - 
         (390863167*Log[4])/61122600 - (76883*Pi^2*Log[4])/124740 + 
         (4044317*Log[4]^2)/3492720 + (2*Pi^2*Log[4]^2)/9 + Log[4]^3/3 + 
         (1231*Zeta[3])/924 + (-6178628622457/840157920000 - 
           (369287*Pi^2)/793800 + (2855629201*Log[4])/666792000 + 
           (1259*Pi^2*Log[4])/3780 - (2372071*Log[4]^2)/3175200 - 
           (13*Log[4]^3)/162 + (-702061276073/746807040000 - 
             (99097*Pi^2)/25401600 + (2085835729*Log[4])/3556224000 - 
             (41*Pi^2*Log[4])/120960 - (3281399*Log[4]^2)/16934400 + 
             Log[4]^3/27 + (-24465553661/53343360000 - (37589*Pi^2)/7257600 + 
               (220665497*Log[4])/508032000 - (Pi^2*Log[4])/2160 - 
               (258739*Log[4]^2)/1612800 + Log[4]^3/90 + (-1122633144181/
                  2560481280000 - (44371*Pi^2)/5806080 + ((0.1586476786488059\
053373605970533222847851310179814965430905878834439`50 + 
                    0.1394577464042134988439167960381854711832850009328223966\
8528035`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z) - 
                    0.1041494245354731207864606996799806845771714806350305004\
3115799`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2 - 
                    0.0908420973140515038318314444975364895425378251272185382\
1860786`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^3 + 
                    0.0038512690054863462093456878719049826707772758771159947\
7546172`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^4 + 
                    0.0097264679607181227747103166424977290170783209079817400\
2115869`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^5 + 
                    0.0047947986879314030970117669238611623263742600877049004\
4014245`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^6)*(2*Sqrt[z^(-2) - z^(-1)] + 
                     2/z)^2)/(1 + 0.98111427455202011513821923966323369693161\
51499030566005499142141906`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z) - 
                   0.52412881026162413959292475687333602745149310770923927536\
133366`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2 - 
                   0.59691210064388562906851445990924214811665489790122300943\
6751359736`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^3 - 
                   0.03958046884710180607377377678688838055828307893369073344\
80543168835`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^4 + 
                   0.04951863880128545021419912960617327762256651506725924207\
390412`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^5 + 
                   0.02953028898116951562940681421607429272594902378817030019\
440648`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^6 + 
                   0.00178298814937151264778304917763568742243336625649921482\
88438874577`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^7) + (112498759*Log[4])/
                  254016000 - (49*Pi^2*Log[4])/69120 - (4702279*Log[4]^2)/
                  29030400 + (2*Log[4]^3)/405 + (941*Zeta[3])/23040)/z + 
               (25*Zeta[3])/256)/z + (4457*Zeta[3])/13440)/z + 
           (12323*Zeta[3])/7560 + (2*Log[4]*Zeta[3])/3)/z)/z)/z


respiv3lfhsub2r608pade67 = -94054150874081/7508911410000 + (8*Pi^2)/2145 - 
     (16*Im[PolyLog[2, E^(I/3*Pi)]])/Sqrt[3] - (8224731929*Log[4])/
      2554051500 + (185309587*Log[4]^2)/85135050 + (3691*Zeta[3])/455 + 
     (4*Log[4]*Zeta[3])/3 - (-149935366933672320*Sqrt[(-1 + z)/z]*z + 
       122645553030000*Pi^2*Sqrt[(-1 + z)/z]*z - 173935524277184670*
        Sqrt[(-1 + z)/z]*z^2 + 129320140950000*Pi^2*Sqrt[(-1 + z)/z]*z^2 - 
       102927580338677094*Sqrt[(-1 + z)/z]*z^3 + 187222191156000*Pi^2*
        Sqrt[(-1 + z)/z]*z^3 - 58715321599085580*Sqrt[(-1 + z)/z]*z^4 + 
       361762665264000*Pi^2*Sqrt[(-1 + z)/z]*z^4 - 45053395841472304*
        Sqrt[(-1 + z)/z]*z^5 + 1387805747328000*Pi^2*Sqrt[(-1 + z)/z]*z^5 - 
       72994342133616384*Sqrt[(-1 + z)/z]*z^6 - 1912572829440000*Pi^2*
        Sqrt[(-1 + z)/z]*z^6 + 5467752332685504*Sqrt[(-1 + z)/z]*z^7 - 
       2409064374528000*Pi^2*Sqrt[(-1 + z)/z]*z^7 - 13923589534804736*
        Sqrt[(-1 + z)/z]*z^8 + 861516601344000*Pi^2*Sqrt[(-1 + z)/z]*z^8 - 
       327784396246357050*Sqrt[(-1 + z)/z]*z*Log[4] - 
       46383065945266050*Sqrt[(-1 + z)/z]*z^2*Log[4] - 
       18191902434565860*Sqrt[(-1 + z)/z]*z^3*Log[4] - 
       32104155203920800*Sqrt[(-1 + z)/z]*z^4*Log[4] - 
       37553039685120960*Sqrt[(-1 + z)/z]*z^5*Log[4] + 
       6187437128920320*Sqrt[(-1 + z)/z]*z^6*Log[4] - 
       9768887981233920*Sqrt[(-1 + z)/z]*z^7*Log[4] - 
       2666079817282560*Sqrt[(-1 + z)/z]*z^8*Log[4] - 
       62363311001491500*Sqrt[(-1 + z)/z]*z*Log[4]^2 - 
       21323150420071500*Sqrt[(-1 + z)/z]*z^2*Log[4]^2 - 
       1577317163221800*Sqrt[(-1 + z)/z]*z^3*Log[4]^2 + 
       9946114486308000*Sqrt[(-1 + z)/z]*z^4*Log[4]^2 + 
       14848521771283200*Sqrt[(-1 + z)/z]*z^5*Log[4]^2 + 
       5596673919782400*Sqrt[(-1 + z)/z]*z^6*Log[4]^2 + 
       3249974503641600*Sqrt[(-1 + z)/z]*z^7*Log[4]^2 + 
       4504522446950400*Sqrt[(-1 + z)/z]*z^8*Log[4]^2 + 
       74967683466836160*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 61322776515000*Pi^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       64990047738671055*z*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 23778219465000*Pi^2*z*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       3712372289110485*z^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 45053468460000*Pi^2*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       4066087085440380*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 110130700680000*Pi^2*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       1343739782385000*z^4*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 560665385280000*Pi^2*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       5705536636800000*z^5*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 1441710990720000*Pi^2*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       22346520356160000*z^6*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 640760440320000*Pi^2*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       1441710990720000*z^7*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 1281520880640000*Pi^2*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       3524182421760000*z^8*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 163892198123178525*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       123893105862851325*z*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 37487261274863400*z^2*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       4153223398123800*z^3*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 6037720989300000*z^4*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       7840415943360000*z^5*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 6327509348160000*z^6*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       3524182421760000*z^7*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 640760440320000*z^8*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       31181655500745750*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 10126195123794750*z*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       9090760936257000*z^2*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 7766383639014000*z^3*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       5439789154800000*z^4*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 1722043683360000*z^5*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       480570330240000*z^6*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 961140660480000*z^7*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       71777447450183475*Sqrt[(-1 + z)/z]*z*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       19371205985531400*Sqrt[(-1 + z)/z]*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       1451564351136900*Sqrt[(-1 + z)/z]*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       1782114974640000*Sqrt[(-1 + z)/z]*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       2898996019920000*Sqrt[(-1 + z)/z]*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       2402851651200000*Sqrt[(-1 + z)/z]*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       1601901100800000*Sqrt[(-1 + z)/z]*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       320380220160000*Sqrt[(-1 + z)/z]*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       18911586710016000*Sqrt[(-1 + z)/z]*z*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       14580859797504000*Sqrt[(-1 + z)/z]*z^2*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       9953145506304000*Sqrt[(-1 + z)/z]*z^3*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       4698909895680000*Sqrt[(-1 + z)/z]*z^4*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       1601901100800000*Sqrt[(-1 + z)/z]*z^5*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       961140660480000*Sqrt[(-1 + z)/z]*z^7*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       10393885166915250*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^
         3 - 3375398374598250*z*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 - 3030253645419000*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 - 
       2588794546338000*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 - 1813263051600000*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 + 
       574014561120000*z^5*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 + 160190110080000*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 - 
       320380220160000*z^7*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 + 7528935173760000*Sqrt[(-1 + z)/z]*z*
        Zeta[3] + 5835258489060000*Sqrt[(-1 + z)/z]*z^2*Zeta[3] + 
       5705771483412000*Sqrt[(-1 + z)/z]*z^3*Zeta[3] + 
       6403313596680000*Sqrt[(-1 + z)/z]*z^4*Zeta[3] + 
       8061885127296000*Sqrt[(-1 + z)/z]*z^5*Zeta[3] + 
       25054287987456000*Sqrt[(-1 + z)/z]*z^6*Zeta[3] - 
       9508112522496000*Sqrt[(-1 + z)/z]*z^7*Zeta[3] - 
       13596482769408000*Sqrt[(-1 + z)/z]*z^8*Zeta[3] - 
       3764467586880000*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*
        Zeta[3] - 407984186610000*z*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 573180237630000*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 
       881045605440000*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 1421687226960000*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 
       9291026384640000*z^5*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 13776349466880000*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 
       5126083522560000*z^7*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 2563041761280000*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3])/
      (1922281320960000*Sqrt[(-1 + z)/z]*z^8) + 
     (-22675180092421/3337293960000 - (248621*Pi^2)/270270 + 
       9*Sqrt[3]*Im[PolyLog[2, E^(I/3*Pi)]] - (14624695823*Log[4])/
        2167074000 + (2*Pi^2*Log[4])/3 + (286510039*Log[4]^2)/113513400 + 
       Log[4]^3/6 - (1106269*Zeta[3])/90090 - 2*Log[4]*Zeta[3] + 
       (-20046703791077/385072380000 + Pi^2/198 + (51996841*Log[4])/3773000 + 
         (179107*Log[4]^2)/107800 + (292681*Zeta[3])/13860 - 
         8*Log[4]*Zeta[3] + (-23547331576133/840157920000 + 
           (7033*Pi^2)/7560 - (3899718889*Log[4])/222264000 - 
           (2*Pi^2*Log[4])/3 + (87945377*Log[4]^2)/9525600 - 
           (5*Log[4]^3)/18 + (18257*Zeta[3])/2520 + (2*Log[4]*Zeta[3])/3 + 
           (-1249892754671/37340352000 + (11*Pi^2)/1440 - (5426961277*Log[4])/
              355622400 + (3596051*Log[4]^2)/846720 + (22*Log[4]^3)/27 + 
             (-6297349398751/106686720000 + (13*Pi^2)/1280 - (1704437111*
                 Log[4])/169344000 - (11723*Log[4]^2)/179200 + (233*Log[4]^3)/
                135 + (-48798624829417/426746880000 + (173*Pi^2)/11520 + 
                 ((149.409005428856212204745964093340283301365841045810964877\
989`50 + 414.281556800377816104453773727083700216389552970589383795144`50*
                     (-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z) + 503.5254231427553\
76589056050454769945199336939606396918696608`50*(-1 + 2*Sqrt[z^(-2) - 
                          z^(-1)] + 2/z)^2 + 326.2564485704182395675747584101\
49149765282875573878410079545`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^3 + 
                    115.22209307303729390195779886882224529987212087922214195\
663750545`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^4 + 
                    22.196099404290054819411575181738432610126186776000251652\
6365981441822`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^5 + 
                    2.7216313200774437807096913625133882394530517262201165725\
085730281328`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^6)*
                   (2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2)/(1 + 2.8431753861766912\
5800701941301252902624141761982720401887034737`50*(-1 + 2*Sqrt[z^(-2) - 
                        z^(-1)] + 2/z) + 3.9756531479606801978098501043817138\
033375507474094666912081352672802`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2 + 
                   3.28914385309062827434338927780970350728381776656884172780\
28472232195`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^3 + 
                   1.71841181985818209057072178525209608853607775486226087908\
333726`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^4 + 
                   0.55981105406162941671868356252611910968415857787376403565\
5858870867`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^5 + 
                   0.10402782133182535070844764546467063176343305569684194920\
934869`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^6 + 
                   0.01055075188498797915094868133523911367253299646588334757\
369733`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^7) - (4165481861*Log[4])/
                  190512000 - (14739187*Log[4]^2)/14515200 + (1024*Log[4]^3)/
                  405 - (556657*Zeta[3])/69120)/z - (3907*Zeta[3])/1280)/z + 
             (8821*Zeta[3])/2688)/z)/z)/z)/z

respis3lffsub2r507pade65 = -369108958681/6949800000 - 
     (19839557*Pi^2)/6486480 + (121*Pi^4)/480 + 
     (39*Sqrt[3]*Im[PolyLog[2, E^(I/3*Pi)]])/4 + 
     (3*Im[PolyLog[2, E^(I/3*Pi)]]^2)/2 - (22831*Pi^2*Log[2])/8190 + 
     (4*Pi^2*Log[2]^2)/3 - (4*Log[2]^4)/3 + (105083695663*Log[4])/
      2432430000 + (96254*Pi^2*Log[4])/27027 + 2*Pi^2*Log[2]*Log[4] - 
     (64380857*Log[4]^2)/10135125 - (5*Pi^2*Log[4]^2)/6 - 
     32*PolyLog[4, 1/2] - (14997743*Zeta[3])/600600 - (15*Log[4]*Zeta[3])/2 - 
     (-1382502823892190*Sqrt[(-1 + z)/z]*z + 5562156600000*Pi^2*
        Sqrt[(-1 + z)/z]*z - 898123008933150*Sqrt[(-1 + z)/z]*z^2 + 
       5978372400000*Pi^2*Sqrt[(-1 + z)/z]*z^2 - 1563206901404148*
        Sqrt[(-1 + z)/z]*z^3 + 8809720920000*Pi^2*Sqrt[(-1 + z)/z]*z^3 + 
       150219579180528*Sqrt[(-1 + z)/z]*z^4 + 17180523360000*Pi^2*
        Sqrt[(-1 + z)/z]*z^4 - 4806249710918656*Sqrt[(-1 + z)/z]*z^5 + 
       63877413600000*Pi^2*Sqrt[(-1 + z)/z]*z^5 + 6993638208437504*
        Sqrt[(-1 + z)/z]*z^6 - 169313564160000*Pi^2*Sqrt[(-1 + z)/z]*z^6 - 
       2238729507469056*Sqrt[(-1 + z)/z]*z^7 - 7465144320000*Pi^2*
        Sqrt[(-1 + z)/z]*z^7 - 9194585400000*Pi^2*Sqrt[(-1 + z)/z]*z*Log[2] - 
       10362151800000*Pi^2*Sqrt[(-1 + z)/z]*z^2*Log[2] - 
       16482145680000*Pi^2*Sqrt[(-1 + z)/z]*z^3*Log[2] - 
       36817260480000*Pi^2*Sqrt[(-1 + z)/z]*z^4*Log[2] - 
       185476262400000*Pi^2*Sqrt[(-1 + z)/z]*z^5*Log[2] + 
       600505850880000*Pi^2*Sqrt[(-1 + z)/z]*z^6*Log[2] - 
       290963819520000*Pi^2*Sqrt[(-1 + z)/z]*z^7*Log[2] - 
       616706691400800*Sqrt[(-1 + z)/z]*z*Log[4] + 851350500000*Pi^2*
        Sqrt[(-1 + z)/z]*z*Log[4] + 126678424672800*Sqrt[(-1 + z)/z]*z^2*
        Log[4] + 1175674500000*Pi^2*Sqrt[(-1 + z)/z]*z^2*Log[4] + 
       229596694367040*Sqrt[(-1 + z)/z]*z^3*Log[4] + 2318916600000*Pi^2*
        Sqrt[(-1 + z)/z]*z^3*Log[4] + 516031775550720*Sqrt[(-1 + z)/z]*z^4*
        Log[4] + 6551344800000*Pi^2*Sqrt[(-1 + z)/z]*z^4*Log[4] + 
       5110668104256000*Sqrt[(-1 + z)/z]*z^5*Log[4] + 
       43564435200000*Pi^2*Sqrt[(-1 + z)/z]*z^5*Log[4] - 
       4701603980236800*Sqrt[(-1 + z)/z]*z^6*Log[4] - 
       203743987200000*Pi^2*Sqrt[(-1 + z)/z]*z^6*Log[4] + 
       1359556090183680*Sqrt[(-1 + z)/z]*z^7*Log[4] + 
       179764185600000*Pi^2*Sqrt[(-1 + z)/z]*z^7*Log[4] + 
       494189992296000*Sqrt[(-1 + z)/z]*z*Log[4]^2 + 
       167078103192000*Sqrt[(-1 + z)/z]*z^2*Log[4]^2 + 
       145494168019200*Sqrt[(-1 + z)/z]*z^3*Log[4]^2 + 
       110192643475200*Sqrt[(-1 + z)/z]*z^4*Log[4]^2 - 
       1706285540044800*Sqrt[(-1 + z)/z]*z^5*Log[4]^2 + 
       1413601910323200*Sqrt[(-1 + z)/z]*z^6*Log[4]^2 - 
       199971466444800*Sqrt[(-1 + z)/z]*z^7*Log[4]^2 + 
       691251411946095*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       2781078300000*Pi^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 456719179271355*z*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       1135134000000*Pi^2*z*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 259164345700260*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       2164862700000*Pi^2*z^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 895020501375000*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       5270265000000*Pi^2*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 1561593033000000*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       25621596000000*Pi^2*z^4*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 2121176257200000*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       169297128000000*Pi^2*z^5*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 1215436622400000*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       179026848000000*Pi^2*z^6*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 254529475200000*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       46702656000000*Pi^2*z^7*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 4597292700000*Pi^2*Log[2]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       2116214100000*Pi^2*z*Log[2]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 4378374000000*Pi^2*z^2*Log[2]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       12259447200000*Pi^2*z^3*Log[2]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 79394515200000*Pi^2*z^4*Log[2]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       364280716800000*Pi^2*z^5*Log[2]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 336259123200000*Pi^2*z^6*Log[2]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       74724249600000*Pi^2*z^7*Log[2]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 308353345700400*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       425675250000*Pi^2*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 31940022114000*z*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       304053750000*Pi^2*z*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 11709912614400*z^2*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       729729000000*Pi^2*z^2*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 6508101600000*z^3*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       2432430000000*Pi^2*z^3*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 1596063268800000*z^4*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       19459440000000*Pi^2*z^4*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 1681295616000000*z^5*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       116756640000000*Pi^2*z^5*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 495048153600000*z^6*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       155675520000000*Pi^2*z^6*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 74724249600000*z^7*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       62270208000000*Pi^2*z^7*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 247094996148000*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       81190945836000*z*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 4909616712000*z^2*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       11286475200000*z^3*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 906290985600000*z^4*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       1260971712000000*z^5*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 504388684800000*z^6*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       57743207121600*Sqrt[(-1 + z)/z]*z*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       99275133157200*Sqrt[(-1 + z)/z]*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       147653906400000*Sqrt[(-1 + z)/z]*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       458853595200000*Sqrt[(-1 + z)/z]*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       730896566400000*Sqrt[(-1 + z)/z]*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       31135104000000*Pi^2*Sqrt[(-1 + z)/z]*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       228843014400000*Sqrt[(-1 + z)/z]*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       62270208000000*Pi^2*Sqrt[(-1 + z)/z]*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       37362124800000*Sqrt[(-1 + z)/z]*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       31135104000000*Pi^2*Sqrt[(-1 + z)/z]*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       150424065792000*Sqrt[(-1 + z)/z]*z*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       94277094912000*Sqrt[(-1 + z)/z]*z^2*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       149189040000000*Sqrt[(-1 + z)/z]*z^3*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       464950886400000*Sqrt[(-1 + z)/z]*z^4*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       1008777369600000*Sqrt[(-1 + z)/z]*z^5*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       504388684800000*Sqrt[(-1 + z)/z]*z^6*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       82364998716000*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 + 
       27063648612000*z*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^
         3 + 1636538904000*z^2*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 + 3762158400000*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 + 
       302096995200000*z^4*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 - 420323904000000*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 + 
       168129561600000*z^6*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 + 385099885170000*Sqrt[(-1 + z)/z]*z*
        Zeta[3] + 337404797730000*Sqrt[(-1 + z)/z]*z^2*Zeta[3] + 
       408995591004000*Sqrt[(-1 + z)/z]*z^3*Zeta[3] + 
       756501297552000*Sqrt[(-1 + z)/z]*z^4*Zeta[3] + 
       954935879040000*Sqrt[(-1 + z)/z]*z^5*Zeta[3] - 
       3116100678912000*Sqrt[(-1 + z)/z]*z^6*Zeta[3] + 
       1031645465856000*Sqrt[(-1 + z)/z]*z^7*Zeta[3] - 
       192549942585000*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*
        Zeta[3] - 40335770475000*z*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 74913979140000*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 
       218772754200000*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 194983588800000*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 
       1926484560000000*z^5*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 1485144460800000*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 
       280215936000000*z^7*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3])/(37362124800000*Sqrt[(-1 + z)/z]*
       z^7) + 15*Zeta[5] + (2067423157343/11226600000 - 
       (350941*Pi^2)/249480 - (5*Pi^4)/9 + (76733*Pi^2*Log[2])/6930 - 
       (8*Pi^2*Log[2]^2)/3 + (8*Log[2]^4)/3 - (51777271*Log[4])/334125 - 
       (10699*Pi^2*Log[4])/8316 - 8*Pi^2*Log[2]*Log[4] + 
       (68544877*Log[4]^2)/1559250 + (5*Pi^2*Log[4]^2)/3 - (9*Log[4]^3)/2 + 
       64*PolyLog[4, 1/2] - (171751*Zeta[3])/15400 + 36*Log[4]*Zeta[3] - 
       50*Zeta[5] + (-87067075979/583200000 + (9359*Pi^2)/2592 + 
         (5*Pi^4)/18 - (467*Pi^2*Log[2])/56 + (4*Pi^2*Log[2]^2)/3 - 
         (4*Log[2]^4)/3 + (81579917*Log[4])/453600 - (4349*Pi^2*Log[4])/
          3024 + 6*Pi^2*Log[2]*Log[4] - (913239*Log[4]^2)/14000 - 
         (5*Pi^2*Log[4]^2)/6 + 9*Log[4]^3 - 32*PolyLog[4, 1/2] + 
         (38601*Zeta[3])/1120 - (69*Log[4]*Zeta[3])/2 + 
         (136126624327/5443200000 + (37*Pi^2)/2160 - (13*Pi^2*Log[2])/480 - 
           (36545483*Log[4])/3780000 + (Pi^2*Log[4])/576 + 
           (23028613*Log[4]^2)/1512000 - (112*Log[4]^3)/27 - 
           (30307*Zeta[3])/3200 - 8*Log[4]*Zeta[3] + 
           (-190234441661/2073600000 + (6317*Pi^2)/276480 - (139*Pi^2*Log[2])/
              3840 + (143786029*Log[4])/6480000 + (11*Pi^2*Log[4])/4608 + 
             (423691*Log[4]^2)/54000 - (575*Log[4]^3)/432 + (1188563*Zeta[3])/
              25600 - (Log[4]*Zeta[3])/2 + (-27292557461/1244160000 + 
               (469*Pi^2)/13824 + ((-3.65694291544222732981446027335558156818\
97503491458148983560409614052`50 - 
                  23.76281464517730237087155688652934563890373600111460225280\
18664969293`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z) - 
                  51.32410567188076432369890006157213325715963289487369279542\
05310998876`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2 - 
                  52.50232915521275227127341633273751935518147331685229410807\
13379258401`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^3 - 
                  26.35830938189440064020550113261417877268111573319169683854\
50914346571`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^4 - 
                  4.231565653123772569738539087270536060527844458759067234496\
12337`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^5 + 
                  0.832505832396829793152470698856664061859725764261296509225\
5676247726`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^6)*
                 (2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2)/(1 + 2.439360256963206136\
6605198720219776191250785527907510332509120560816`50*(-1 + 2*Sqrt[z^(-2) - 
                      z^(-1)] + 2/z) + 2.984178693210337739405929600676992996\
7246083951797649501296367541364`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2 + 
                 2.0760857745493334512573675368501843085629308060059715473405\
5496`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^3 + 
                 0.8443679842679404725092103711858586847698957974803678531408\
9836`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^4 + 
                 0.1791558710460898975383986192545198014949126986423453732611\
770109665`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^5) - (69*Pi^2*Log[2])/
                1280 + (340178389*Log[4])/103680000 + (17*Pi^2*Log[4])/4608 + 
               (24637699*Log[4]^2)/3456000 - (757*Log[4]^3)/900 + 
               (210883*Zeta[3])/25600 - (Log[4]*Zeta[3])/5)/z)/z)/z + 
         5*Zeta[5])/z)/z


respis3lfasub2r608pade67 = -61056915168863/2200413600000 - 
     (4312771217*Pi^2)/1362160800 - (427*Pi^4)/2880 - 
     (39*Sqrt[3]*Im[PolyLog[2, E^(I/3*Pi)]])/8 - 
     (3*Im[PolyLog[2, E^(I/3*Pi)]]^2)/4 + (250769*Pi^2*Log[2])/180180 - 
     (2*Pi^2*Log[2]^2)/3 + (2*Log[2]^4)/3 + (307745246503*Log[4])/
      13621608000 + (2192653*Pi^2*Log[4])/648648 - Pi^2*Log[2]*Log[4] + 
     (628945403*Log[4]^2)/756756000 - (19*Pi^2*Log[4]^2)/36 - 
     (11*Log[4]^3)/24 + 16*PolyLog[4, 1/2] + (412470697*Zeta[3])/25225200 - 
     (25*Log[4]*Zeta[3])/4 - (926557794120468510*Sqrt[(-1 + z)/z]*z - 
       793471436257500*Pi^2*Sqrt[(-1 + z)/z]*z + 616307183249587830*
        Sqrt[(-1 + z)/z]*z^2 - 866898524992500*Pi^2*Sqrt[(-1 + z)/z]*z^2 + 
       251404717211980332*Sqrt[(-1 + z)/z]*z^3 - 1295295605604000*Pi^2*
        Sqrt[(-1 + z)/z]*z^3 + 484688138066493504*Sqrt[(-1 + z)/z]*z^4 - 
       2472062915322000*Pi^2*Sqrt[(-1 + z)/z]*z^4 + 151354627049092896*
        Sqrt[(-1 + z)/z]*z^5 - 6702192360864000*Pi^2*Sqrt[(-1 + z)/z]*z^5 + 
       268873610196847968*Sqrt[(-1 + z)/z]*z^6 - 43788734292576000*Pi^2*
        Sqrt[(-1 + z)/z]*z^6 + 218203634307641600*Sqrt[(-1 + z)/z]*z^7 + 
       158181642673152000*Pi^2*Sqrt[(-1 + z)/z]*z^7 - 
       1136851668171716224*Sqrt[(-1 + z)/z]*z^8 - 115500982380672000*Pi^2*
        Sqrt[(-1 + z)/z]*z^8 + 2327762537100000*Pi^2*Sqrt[(-1 + z)/z]*z*
        Log[2] + 2377821946500000*Pi^2*Sqrt[(-1 + z)/z]*z^2*Log[2] + 
       3243849729120000*Pi^2*Sqrt[(-1 + z)/z]*z^3*Log[2] + 
       5476022632080000*Pi^2*Sqrt[(-1 + z)/z]*z^4*Log[2] + 
       12510084787200000*Pi^2*Sqrt[(-1 + z)/z]*z^5*Log[2] + 
       63532368506880000*Pi^2*Sqrt[(-1 + z)/z]*z^6*Log[2] - 
       206039652618240000*Pi^2*Sqrt[(-1 + z)/z]*z^7*Log[2] + 
       99747673482240000*Pi^2*Sqrt[(-1 + z)/z]*z^8*Log[2] + 
       307298226627141750*Sqrt[(-1 + z)/z]*z*Log[4] + 
       237782194650000*Pi^2*Sqrt[(-1 + z)/z]*z*Log[4] - 
       104781257549718750*Sqrt[(-1 + z)/z]*z^2*Log[4] + 
       290622682350000*Pi^2*Sqrt[(-1 + z)/z]*z^2*Log[4] - 
       161949179866874400*Sqrt[(-1 + z)/z]*z^3*Log[4] + 
       479087088480000*Pi^2*Sqrt[(-1 + z)/z]*z^3*Log[4] - 
       138527445802145400*Sqrt[(-1 + z)/z]*z^4*Log[4] + 
       989375226840000*Pi^2*Sqrt[(-1 + z)/z]*z^4*Log[4] - 
       640263549746620800*Sqrt[(-1 + z)/z]*z^5*Log[4] + 
       2834263111680000*Pi^2*Sqrt[(-1 + z)/z]*z^5*Log[4] - 
       348763541356863360*Sqrt[(-1 + z)/z]*z^6*Log[4] + 
       18918511073280000*Pi^2*Sqrt[(-1 + z)/z]*z^6*Log[4] - 
       111575791660569600*Sqrt[(-1 + z)/z]*z^7*Log[4] - 
       88526727797760000*Pi^2*Sqrt[(-1 + z)/z]*z^7*Log[4] + 
       160423301477644800*Sqrt[(-1 + z)/z]*z^8*Log[4] + 
       78096141043200000*Pi^2*Sqrt[(-1 + z)/z]*z^8*Log[4] - 
       206466678897979500*Sqrt[(-1 + z)/z]*z*Log[4]^2 - 
       100696593776278500*Sqrt[(-1 + z)/z]*z^2*Log[4]^2 - 
       27990563555354400*Sqrt[(-1 + z)/z]*z^3*Log[4]^2 - 
       33470985891142800*Sqrt[(-1 + z)/z]*z^4*Log[4]^2 + 
       167587512585292800*Sqrt[(-1 + z)/z]*z^5*Log[4]^2 - 
       176649180957849600*Sqrt[(-1 + z)/z]*z^6*Log[4]^2 + 
       110668141043712000*Sqrt[(-1 + z)/z]*z^7*Log[4]^2 + 
       95523043735526400*Sqrt[(-1 + z)/z]*z^8*Log[4]^2 - 
       463278897060234255*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 396735718128750*Pi^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       228132368941231755*z*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 168958783743750*Pi^2*z*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       155353974982806600*z^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 323416230637500*Pi^2*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       86044304675429100*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 748944386190000*Pi^2*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       242966665366425000*z^4*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 2440859721300000*Pi^2*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       199875479403600000*z^5*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 19504629144000000*Pi^2*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       209915790084000000*z^6*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 67012862716800000*Pi^2*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       751291616275200000*z^7*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 51972791270400000*Pi^2*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       418630154342400000*z^8*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 8543472537600000*Pi^2*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       1163881268550000*Pi^2*Log[2]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 412990127550000*Pi^2*z*Log[2]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       725861436300000*Pi^2*z^2*Log[2]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 1501782282000000*Pi^2*z^3*Log[2]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       4204990389600000*Pi^2*z^4*Log[2]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 27232318713600000*Pi^2*z^5*Log[2]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       124948285862400000*Pi^2*z^6*Log[2]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 115336879257600000*Pi^2*z^7*Log[2]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       25630417612800000*Pi^2*z^8*Log[2]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 153649113313570875*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       118891097325000*Pi^2*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 53514059968994625*z*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       66050609625000*Pi^2*z*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 7373600362878750*z^2*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       132101219250000*Pi^2*z^2*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 3450437495505000*z^3*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       317042926200000*Pi^2*z^3*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 172554320688750000*z^4*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       1056809754000000*Pi^2*z^4*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 196084560672000000*z^5*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       8454478032000000*Pi^2*z^5*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 331326544348800000*z^6*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       50726868192000000*Pi^2*z^6*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 81696956140800000*z^7*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       67635824256000000*Pi^2*z^7*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 148442835340800000*z^8*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       27054329702400000*Pi^2*z^8*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 103233339448989750*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       18473929411187250*z*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 28746546320992500*z^2*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       1439764235910000*z^3*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 101005982777700000*z^4*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       138942671868000000*z^5*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 110130700680000000*z^6*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       17620912108800000*z^7*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 35241824217600000*z^8*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       44894454963608250*Sqrt[(-1 + z)/z]*z*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       21560158879008750*Sqrt[(-1 + z)/z]*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       36955802773890000*Sqrt[(-1 + z)/z]*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       80704342944225000*Sqrt[(-1 + z)/z]*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       23086657994400000*Sqrt[(-1 + z)/z]*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       158254479583200000*Sqrt[(-1 + z)/z]*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       13527164851200000*Pi^2*Sqrt[(-1 + z)/z]*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       3737769235200000*Sqrt[(-1 + z)/z]*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       27054329702400000*Pi^2*Sqrt[(-1 + z)/z]*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       74221417670400000*Sqrt[(-1 + z)/z]*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       13527164851200000*Pi^2*Sqrt[(-1 + z)/z]*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       50654655507456000*Sqrt[(-1 + z)/z]*z*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       50424286872960000*Sqrt[(-1 + z)/z]*z^2*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       30400523112960000*Sqrt[(-1 + z)/z]*z^3*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       68703758323200000*Sqrt[(-1 + z)/z]*z^4*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       88282549555200000*Sqrt[(-1 + z)/z]*z^5*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       105725472652800000*Sqrt[(-1 + z)/z]*z^6*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       35241824217600000*Sqrt[(-1 + z)/z]*z^8*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       34411113149663250*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^
         3 - 6157976470395750*z*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 - 9582182106997500*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 - 
       479921411970000*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 - 33668660925900000*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 + 
       46314223956000000*z^5*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 - 36710233560000000*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 - 
       5873637369600000*z^7*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 + 11747274739200000*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 - 
       110725871301045000*Sqrt[(-1 + z)/z]*z*Zeta[3] - 
       89994482032455000*Sqrt[(-1 + z)/z]*z^2*Zeta[3] - 
       95005989102024000*Sqrt[(-1 + z)/z]*z^3*Zeta[3] - 
       123089501667132000*Sqrt[(-1 + z)/z]*z^4*Zeta[3] - 
       259280878881024000*Sqrt[(-1 + z)/z]*z^5*Zeta[3] + 
       327671786018304000*Sqrt[(-1 + z)/z]*z^6*Zeta[3] - 
       377647184452608000*Sqrt[(-1 + z)/z]*z^7*Zeta[3] + 
       483172670308608000*Sqrt[(-1 + z)/z]*z^8*Zeta[3] + 
       55362935650522500*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*
        Zeta[3] + 8088617249212500*z*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 12583684037925000*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 
       23532928358940000*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 81046183818600000*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 
       259908453604800000*z^5*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 281133643190400000*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 
       362029648780800000*z^7*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 160190110080000000*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3])/
      (25630417612800000*Sqrt[(-1 + z)/z]*z^8) - (5*Zeta[5])/2 + 
     (-44276468633431/4004752752000 + (908953559*Pi^2)/170270100 + 
       (5*Pi^4)/18 - (498997*Pi^2*Log[2])/90090 + (4*Pi^2*Log[2]^2)/3 - 
       (4*Log[2]^4)/3 - (93514241467*Log[4])/3667356000 - 
       (307823*Pi^2*Log[4])/57915 + 4*Pi^2*Log[2]*Log[4] + 
       (337791449*Log[4]^2)/75675600 + (19*Pi^2*Log[4]^2)/18 - 
       32*PolyLog[4, 1/2] - (60237811*Zeta[3])/12612600 + 11*Log[4]*Zeta[3] + 
       (192387350388047/6845731200000 - (1007123813*Pi^2)/419126400 - 
         (5*Pi^4)/36 + (10999*Pi^2*Log[2])/2640 - (2*Pi^2*Log[2]^2)/3 + 
         (2*Log[2]^4)/3 - (682057485371*Log[4])/48898080000 + 
         (2458697*Pi^2*Log[4])/997920 - 3*Pi^2*Log[2]*Log[4] - 
         (45576203*Log[4]^2)/63504000 - (19*Pi^2*Log[4]^2)/36 + 
         (11*Log[4]^3)/8 + 16*PolyLog[4, 1/2] + (71132713*Zeta[3])/7761600 - 
         (25*Log[4]*Zeta[3])/4 + (337228151857/1867017600000 - 
           (35729*Pi^2)/12700800 + (Pi^2*Log[2])/112 - (16870026091*Log[4])/
            889056000 + (19*Pi^2*Log[4])/30240 + (39780781*Log[4]^2)/
            7056000 - (31*Log[4]^3)/27 - (94691*Zeta[3])/235200 + 
           8*Log[4]*Zeta[3] + (109943479115299/2489356800000 - 
             (717797*Pi^2)/203212800 + (601*Pi^2*Log[2])/53760 - 
             (5604593279*Log[4])/444528000 + (779*Pi^2*Log[4])/967680 - 
             (3017493851*Log[4]^2)/677376000 + (193*Log[4]^3)/216 - 
             (176519341*Zeta[3])/7526400 + (Log[4]*Zeta[3])/2 + 
             (9322547573363/1066867200000 - (136667*Pi^2)/29030400 + 
               (19*Pi^2*Log[2])/1280 - (12625886453*Log[4])/2032128000 + 
               (19*Pi^2*Log[4])/17280 - (122602957*Log[4]^2)/48384000 + 
               (427*Log[4]^3)/1080 - (1976609*Zeta[3])/537600 + (Log[4]*
                 Zeta[3])/5 + (97877722727809/3413975040000 - (324467*Pi^2)/
                  46448640 + ((4.78885244855349737881494302195011559990310081\
14612449449754812147144`50 + 
                    33.241900742725968799609352938967183615405189863644242801\
6759853579305`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z) + 
                    67.194827611064456876391151186198432965855511484507875492\
87408356`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2 + 
                    56.960543081657767204360516957305669165033686353195670201\
5037162466176`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^3 + 
                    15.116062701274444960350577127860876500914902328467523863\
10777861`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^4 - 
                    6.5175249909516471075736016708587533246937078373155259665\
474264741689`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^5 - 
                    3.6944951910039413903097095116233305806300652824787192056\
5207504`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^6)*(2*Sqrt[z^(-2) - z^(-1)] + 
                     2/z)^2)/(1 + 2.50351532621175739911570226006682688999614\
279753473569343461058`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z) + 
                   2.95375111378989281191967158792310806336475297903278580716\
69456952805`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2 + 
                   1.84171844808803411208288875411890520492506230186301283880\
84298452644`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^3 + 
                   0.48635794282962827685007218010895580893992792693428434783\
593853`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^4 - 
                   0.09975757060679938226636209899804126409704540168366097826\
106347`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^5 - 
                   0.11584327068911730899790787417689774426190312094231520397\
387395`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^6 - 
                   0.02811889571123805687417472489216859285725153069699795095\
957314`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^7) + (673*Pi^2*Log[2])/30720 - 
                 (176849651239*Log[4])/16257024000 + (931*Pi^2*Log[4])/
                  552960 - (369265663*Log[4]^2)/77414400 + (2833*Log[4]^3)/
                  4320 - (40174829*Zeta[3])/4300800 + (Log[4]*Zeta[3])/10)/z)/
              z)/z)/z - (15*Zeta[5])/2)/z + 5*Zeta[5])/z


respis3lflsub2r608pade67 = 131546656078403/10011881880000 + 
     (117971963*Pi^2)/170270100 - (271732640203*Log[4])/23837814000 - 
     (76996*Pi^2*Log[4])/81081 + (10999427*Log[4]^2)/37837800 + 
     (2*Pi^2*Log[4]^2)/9 + Log[4]^3/6 + (4085*Zeta[3])/18018 + 
     2*Log[4]*Zeta[3] - (-915429259975230*Sqrt[(-1 + z)/z]*z - 
       38426556168000*Pi^2*Sqrt[(-1 + z)/z]*z - 874850876769870*
        Sqrt[(-1 + z)/z]*z^2 - 38066340312000*Pi^2*Sqrt[(-1 + z)/z]*z^2 - 
       1072836839029956*Sqrt[(-1 + z)/z]*z^3 - 49558638729600*Pi^2*
        Sqrt[(-1 + z)/z]*z^3 - 1647685103798448*Sqrt[(-1 + z)/z]*z^4 - 
       77651843068800*Pi^2*Sqrt[(-1 + z)/z]*z^4 - 5448472644247776*
        Sqrt[(-1 + z)/z]*z^5 - 155192695257600*Pi^2*Sqrt[(-1 + z)/z]*z^5 + 
       2484943578576992*Sqrt[(-1 + z)/z]*z^6 - 582845900582400*Pi^2*
        Sqrt[(-1 + z)/z]*z^6 - 10621940996889344*Sqrt[(-1 + z)/z]*z^7 + 
       1549746663628800*Pi^2*Sqrt[(-1 + z)/z]*z^7 + 23601554403635584*
        Sqrt[(-1 + z)/z]*z^8 + 69154730803200*Pi^2*Sqrt[(-1 + z)/z]*z^8 + 
       768510378786150*Sqrt[(-1 + z)/z]*z*Log[4] - 5005940940000*Pi^2*
        Sqrt[(-1 + z)/z]*z*Log[4] + 604351518620850*Sqrt[(-1 + z)/z]*z^2*
        Log[4] - 6118372260000*Pi^2*Sqrt[(-1 + z)/z]*z^2*Log[4] + 
       632865870917280*Sqrt[(-1 + z)/z]*z^3*Log[4] - 10086043968000*Pi^2*
        Sqrt[(-1 + z)/z]*z^3*Log[4] + 854679962976840*Sqrt[(-1 + z)/z]*z^4*
        Log[4] - 20828952144000*Pi^2*Sqrt[(-1 + z)/z]*z^4*Log[4] + 
       2895719845898880*Sqrt[(-1 + z)/z]*z^5*Log[4] - 
       59668697088000*Pi^2*Sqrt[(-1 + z)/z]*z^5*Log[4] - 
       716423536483200*Sqrt[(-1 + z)/z]*z^6*Log[4] - 398284443648000*Pi^2*
        Sqrt[(-1 + z)/z]*z^6*Log[4] + 7083202871270400*Sqrt[(-1 + z)/z]*z^7*
        Log[4] + 1863720585216000*Pi^2*Sqrt[(-1 + z)/z]*z^7*Log[4] - 
       7987155520673280*Sqrt[(-1 + z)/z]*z^8*Log[4] - 1644129285120000*Pi^2*
        Sqrt[(-1 + z)/z]*z^8*Log[4] - 41650620511500*Sqrt[(-1 + z)/z]*z*
        Log[4]^2 - 46271183458500*Sqrt[(-1 + z)/z]*z^2*Log[4]^2 - 
       70842804832800*Sqrt[(-1 + z)/z]*z^3*Log[4]^2 - 
       146882480144400*Sqrt[(-1 + z)/z]*z^4*Log[4]^2 - 
       673486202188800*Sqrt[(-1 + z)/z]*z^5*Log[4]^2 + 
       3653449335244800*Sqrt[(-1 + z)/z]*z^6*Log[4]^2 - 
       1638432733593600*Sqrt[(-1 + z)/z]*z^7*Log[4]^2 - 
       1442950521062400*Sqrt[(-1 + z)/z]*z^8*Log[4]^2 + 
       457714629987615*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       19213278084000*Pi^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 69965065395225*z*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       6224318100000*Pi^2*z*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 120251662631100*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       10382692320000*Pi^2*z^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 265884620061060*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       19801277496000*Pi^2*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 1719185352885000*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       48205357200000*Pi^2*z^4*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 1952193363120000*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       234352198080000*Pi^2*z^5*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 5513209621920000*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       1548504397440000*Pi^2*z^6*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 12815208806400000*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       1637498903040000*Pi^2*z^7*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 6621191216640000*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       427173626880000*Pi^2*z^8*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 384255189393075*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       2502970470000*Pi^2*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 62278914072375*z*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       1390539150000*Pi^2*z*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 103880227200750*z^2*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       2781078300000*Pi^2*z^2*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 218553819283800*z^3*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       6674587920000*Pi^2*z^3*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 1230441742530000*z^4*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       22248626400000*Pi^2*z^4*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 830615385600000*z^5*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       177989011200000*Pi^2*z^5*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 1014537363840000*z^6*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       1067934067200000*Pi^2*z^6*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 5446463742720000*z^7*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       1423912089600000*Pi^2*z^7*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 3630975828480000*z^8*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       569564835840000*Pi^2*z^8*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 20825310255750*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       9252051558750*z*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 18146535907500*z^2*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       46888980138000*z^3*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 283113770940000*z^4*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       2060222804640000*z^5*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 2002376376000000*z^6*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       320380220160000*z^7*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 640760440320000*z^8*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       45042183336150*Sqrt[(-1 + z)/z]*z*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       67741968744450*Sqrt[(-1 + z)/z]*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       116252781044400*Sqrt[(-1 + z)/z]*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       278061478695000*Sqrt[(-1 + z)/z]*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       292198626720000*Sqrt[(-1 + z)/z]*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       1188076649760000*Sqrt[(-1 + z)/z]*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       284782417920000*Pi^2*Sqrt[(-1 + z)/z]*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       1815487914240000*Sqrt[(-1 + z)/z]*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       569564835840000*Pi^2*Sqrt[(-1 + z)/z]*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       1815487914240000*Sqrt[(-1 + z)/z]*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       284782417920000*Pi^2*Sqrt[(-1 + z)/z]*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       8136640512000*Sqrt[(-1 + z)/z]*z*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       14239120896000*Sqrt[(-1 + z)/z]*z^2*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       28478241792000*Sqrt[(-1 + z)/z]*z^3*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       71195604480000*Sqrt[(-1 + z)/z]*z^4*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       1139129671680000*Sqrt[(-1 + z)/z]*z^5*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       1922281320960000*Sqrt[(-1 + z)/z]*z^6*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       640760440320000*Sqrt[(-1 + z)/z]*z^8*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       6941770085250*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 + 
       3084017186250*z*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^
         3 + 6048845302500*z^2*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 + 15629660046000*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 + 
       94371256980000*z^4*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^
         3 - 686740934880000*z^5*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 + 667458792000000*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 + 
       106793406720000*z^7*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 - 213586813440000*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 - 
       22526734230000*Sqrt[(-1 + z)/z]*z*Zeta[3] - 27532675170000*
        Sqrt[(-1 + z)/z]*z^2*Zeta[3] - 45387197856000*Sqrt[(-1 + z)/z]*z^3*
        Zeta[3] - 93730284648000*Sqrt[(-1 + z)/z]*z^4*Zeta[3] - 
       268509136896000*Sqrt[(-1 + z)/z]*z^5*Zeta[3] - 
       1792279996416000*Sqrt[(-1 + z)/z]*z^6*Zeta[3] + 
       8386742633472000*Sqrt[(-1 + z)/z]*z^7*Zeta[3] - 
       7398581783040000*Sqrt[(-1 + z)/z]*z^8*Zeta[3] + 
       11263367115000*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*
        Zeta[3] + 6257426175000*z*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 12514852350000*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 
       30035645640000*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*
        Zeta[3] + 100118818800000*z^4*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 800950550400000*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 
       4805703302400000*z^6*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 6407604403200000*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 
       2563041761280000*z^8*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3])/(1281520880640000*Sqrt[(-1 + z)/z]*
       z^8) + (-11595365294099/5005940940000 + (2462167*Pi^2)/6548850 + 
       (30855312629*Log[4])/2383781400 + (19876*Pi^2*Log[4])/57915 - 
       (50989711*Log[4]^2)/18918900 - (4*Pi^2*Log[4]^2)/9 - 
       (20092*Zeta[3])/6435 - 4*Log[4]*Zeta[3] + 
       (-8135202081113/3080579040000 - (25193489*Pi^2)/26195400 - 
         (879493079*Log[4])/488980800 + (47857*Pi^2*Log[4])/124740 + 
         (7465831*Log[4]^2)/3880800 + (2*Pi^2*Log[4]^2)/9 - Log[4]^3/2 - 
         (12203*Zeta[3])/27720 + 2*Log[4]*Zeta[3] + 
         (-721244668567/93350880000 - (2417*Pi^2)/793800 + 
           (837337913*Log[4])/222264000 - (Pi^2*Log[4])/3780 - 
           (29539*Log[4]^2)/39200 + (8*Log[4]^3)/27 + 
           (-15170929279/23337720000 - (193469*Pi^2)/50803200 + 
             (13783003*Log[4])/74088000 - (41*Pi^2*Log[4])/120960 + 
             (3466877*Log[4]^2)/33868800 + Log[4]^3/54 + 
             (-9228332489/17781120000 - (9161*Pi^2)/1814400 + (155125811*
                 Log[4])/508032000 - (Pi^2*Log[4])/2160 + (85723*Log[4]^2)/
                2419200 + Log[4]^3/135 + (-412281236519/853493760000 - 
                 (21587*Pi^2)/2903040 + ((-0.01961118654935233233505656878058\
12844638012356143055110636711847506`50 - 
                    0.0252556838677787427732134222494375567875049001053636747\
832775`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z) + 
                    0.0083611968687846175284873295510240333910155143903550414\
8313117`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2 + 
                    0.0189176951984952127660337567373740956253576571054173421\
857095430538`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^3 + 
                    0.0024726697665667631192418395429261824895852748796751290\
1053694`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^4 - 
                    0.0028246702825724835891897206701004366523680733984461901\
4864921`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^5 - 
                    0.0006551242852770139400658280149939966724493686822817833\
82339764466181333`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^6)*
                   (2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2)/(1 + 0.5131725659689474\
6429319263446383330651306487876951825207975046`50*(-1 + 2*Sqrt[z^(-2) - 
                        z^(-1)] + 2/z) - 1.0333889125863672329482144148682916\
372293668045859126672474607969129`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2 - 
                   0.39476253699959616755131686667586952176695145181421615107\
248621`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^3 + 
                   0.28730751776265944797896109530739145921456613033300592193\
918117`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^4 + 
                   0.07814503456634994242277540710956602022961805170093288745\
30995405721`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^5 - 
                   0.02041863759887787678257397564092292317516536396977440570\
969412`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^6 - 
                   0.00328453045999069137461309565074977706602357403643258511\
838574`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^7) + (1487719813*Log[4])/
                  4064256000 - (49*Pi^2*Log[4])/69120 + (324253*Log[4]^2)/
                  19353600 + Log[4]^3/270 + (463*Zeta[3])/15360)/z + 
               (31*Zeta[3])/480)/z + (4439*Zeta[3])/26880)/z + 
           (2239*Zeta[3])/840)/z)/z)/z


respis3lfhsub2r608pade67 = -19365039113569/770144760000 + 
     (250769*Pi^2)/270270 - 9*Sqrt[3]*Im[PolyLog[2, E^(I/3*Pi)]] + 
     (6619898179*Log[4])/681080400 - (2*Pi^2*Log[4])/3 + 
     (71683957*Log[4]^2)/113513400 - Log[4]^3/6 + (280361*Zeta[3])/18018 + 
     2*Log[4]*Zeta[3] - (-229550841000010530*Sqrt[(-1 + z)/z]*z + 
       155184169140000*Pi^2*Sqrt[(-1 + z)/z]*z - 202177559000887470*
        Sqrt[(-1 + z)/z]*z^2 + 158521463100000*Pi^2*Sqrt[(-1 + z)/z]*z^2 - 
       100128181900763016*Sqrt[(-1 + z)/z]*z^3 + 216256648608000*Pi^2*
        Sqrt[(-1 + z)/z]*z^3 - 46603667668028328*Sqrt[(-1 + z)/z]*z^4 + 
       365068175472000*Pi^2*Sqrt[(-1 + z)/z]*z^4 - 24853170931233216*
        Sqrt[(-1 + z)/z]*z^5 + 834005652480000*Pi^2*Sqrt[(-1 + z)/z]*z^5 - 
       108764035682915392*Sqrt[(-1 + z)/z]*z^6 + 4235491233792000*Pi^2*
        Sqrt[(-1 + z)/z]*z^6 - 67025671282249216*Sqrt[(-1 + z)/z]*z^7 - 
       13735976841216000*Pi^2*Sqrt[(-1 + z)/z]*z^7 - 51346858945637632*
        Sqrt[(-1 + z)/z]*z^8 + 6649844898816000*Pi^2*Sqrt[(-1 + z)/z]*z^8 - 
       387704597189609700*Sqrt[(-1 + z)/z]*z*Log[4] - 
       53696359192776300*Sqrt[(-1 + z)/z]*z^2*Log[4] - 
       22137202130883840*Sqrt[(-1 + z)/z]*z^3*Log[4] - 
       30247314149772720*Sqrt[(-1 + z)/z]*z^4*Log[4] - 
       23061940780919040*Sqrt[(-1 + z)/z]*z^5*Log[4] + 
       33747536805615360*Sqrt[(-1 + z)/z]*z^6*Log[4] + 
       3313796633978880*Sqrt[(-1 + z)/z]*z^7*Log[4] + 
       30465257976652800*Sqrt[(-1 + z)/z]*z^8*Log[4] - 
       46352665079721000*Sqrt[(-1 + z)/z]*z*Log[4]^2 - 
       11197459532259000*Sqrt[(-1 + z)/z]*z^2*Log[4]^2 + 
       4421842453828800*Sqrt[(-1 + z)/z]*z^3*Log[4]^2 + 
       11225881509242400*Sqrt[(-1 + z)/z]*z^4*Log[4]^2 + 
       8969590338508800*Sqrt[(-1 + z)/z]*z^5*Log[4]^2 + 
       11326368556339200*Sqrt[(-1 + z)/z]*z^6*Log[4]^2 - 
       9505779346022400*Sqrt[(-1 + z)/z]*z^7*Log[4]^2 + 
       6317476297574400*Sqrt[(-1 + z)/z]*z^8*Log[4]^2 + 
       114775420500005265*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 77592084570000*Pi^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       103161512463384375*z*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 27532675170000*Pi^2*z*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       20456666871691050*z^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 48390762420000*Pi^2*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       8394735278769840*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 100118818800000*Pi^2*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       12622140170640000*z^4*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 280332692640000*Pi^2*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       25374311202240000*z^5*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 1815487914240000*Pi^2*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       12388035179520000*z^6*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 8329885724160000*Pi^2*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       13455969246720000*z^7*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 7689125283840000*Pi^2*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       5553257149440000*z^8*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 1708694507520000*Pi^2*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       193852298594804850*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 134347410064617750*z*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       35165302848175500*z^2*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 2952537339351600*z^3*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       1796020366140000*z^4*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 25158746733120000*z^5*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       20771317607040000*z^6*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 28193459374080000*z^7*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] + 
       9397819791360000*z^8*Log[4]*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 23176332539860500*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       9852158593777500*z*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 8003526185655000*z^2*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       5617666922868000*z^3*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] - 1384976993400000*z^4*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       2643136816320000*z^5*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 8810456054400000*z^6*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       5766843962880000*z^7*Log[4]^2*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])] + 1281520880640000*z^8*Log[4]^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])] - 
       79317560841819300*Sqrt[(-1 + z)/z]*z*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       21484366615611900*Sqrt[(-1 + z)/z]*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       5197212381160800*Sqrt[(-1 + z)/z]*z^3*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       4617424301490000*Sqrt[(-1 + z)/z]*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       11204408255040000*Sqrt[(-1 + z)/z]*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       5099385170880000*Sqrt[(-1 + z)/z]*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       11747274739200000*Sqrt[(-1 + z)/z]*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       4698909895680000*Sqrt[(-1 + z)/z]*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       15980361965568000*Sqrt[(-1 + z)/z]*z*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       10878688364544000*Sqrt[(-1 + z)/z]*z^2*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       5809561325568000*Sqrt[(-1 + z)/z]*z^3*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       854347253760000*Sqrt[(-1 + z)/z]*z^4*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       6407604403200000*Sqrt[(-1 + z)/z]*z^6*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 - 
       5126083522560000*Sqrt[(-1 + z)/z]*z^7*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       1281520880640000*Sqrt[(-1 + z)/z]*z^8*Log[4]*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^2 + 
       7725444179953500*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^
         3 - 3284052864592500*z*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 - 2667842061885000*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 - 
       1872555640956000*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 - 461658997800000*z^4*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 - 
       881045605440000*z^5*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 + 2936818684800000*z^6*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 - 
       1922281320960000*z^7*Log[(-1 + Sqrt[1 - z^(-1)])/
           (1 + Sqrt[1 - z^(-1)])]^3 + 427173626880000*z^8*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]^3 - 
       45053468460000*Sqrt[(-1 + z)/z]*z*Zeta[3] - 55065350340000*
        Sqrt[(-1 + z)/z]*z^2*Zeta[3] - 90774395712000*Sqrt[(-1 + z)/z]*z^3*
        Zeta[3] - 187460569296000*Sqrt[(-1 + z)/z]*z^4*Zeta[3] - 
       537018273792000*Sqrt[(-1 + z)/z]*z^5*Zeta[3] - 
       3584559992832000*Sqrt[(-1 + z)/z]*z^6*Zeta[3] + 
       16773485266944000*Sqrt[(-1 + z)/z]*z^7*Zeta[3] - 
       14797163566080000*Sqrt[(-1 + z)/z]*z^8*Zeta[3] + 
       22526734230000*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*
        Zeta[3] + 12514852350000*z*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 25029704700000*z^2*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 
       60071291280000*z^3*Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*
        Zeta[3] + 200237637600000*z^4*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 1601901100800000*z^5*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 
       9611406604800000*z^6*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3] + 12815208806400000*z^7*
        Log[(-1 + Sqrt[1 - z^(-1)])/(1 + Sqrt[1 - z^(-1)])]*Zeta[3] - 
       5126083522560000*z^8*Log[(-1 + Sqrt[1 - z^(-1)])/
          (1 + Sqrt[1 - z^(-1)])]*Zeta[3])/(2563041761280000*Sqrt[(-1 + z)/z]*
       z^8) + (-178605007068143/5005940940000 - (498997*Pi^2)/135135 + 
       (65072253097*Log[4])/11918907000 + (8*Pi^2*Log[4])/3 + 
       (49636289*Log[4]^2)/56756700 + (2*Log[4]^3)/3 + 
       (134348*Zeta[3])/6435 - 4*Log[4]*Zeta[3] + 
       (-64354501151581/3080579040000 + (10999*Pi^2)/3960 + 
         (24806370973*Log[4])/2444904000 - 2*Pi^2*Log[4] + 
         (84856633*Log[4]^2)/34927200 - (5*Log[4]^3)/6 - 
         (178523*Zeta[3])/27720 + 2*Log[4]*Zeta[3] + 
         (-181178440211/93350880000 + Pi^2/168 - (1483460809*Log[4])/
            74088000 + (8330789*Log[4]^2)/1058400 + (2237*Zeta[3])/2520 + 
           (-15925771594679/746807040000 + (601*Pi^2)/80640 - 
             (44776502851*Log[4])/3556224000 + (209358179*Log[4]^2)/
              33868800 + Log[4]^3/9 + (-4775384774591/106686720000 + 
               (19*Pi^2)/1920 - (146720579*Log[4])/20321280 + (9079219*
                 Log[4]^2)/2419200 + (34*Log[4]^3)/45 + (-41704890634349/
                  426746880000 + (673*Pi^2)/46080 + ((110.2304813220593374838\
0022967735121375424095628678372545702289793`50 + 
                    298.37046370556779086568386043206222782088540254466493101\
284`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z) + 
                    310.82221253730464091845602753117927282400746525867923114\
3001`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2 + 
                    120.63874267712292991299797263726117778767925102524747601\
520216631`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^3 - 
                    16.315582502909845671813865222552559672019904060266090132\
2999833615648`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^4 - 
                    23.729939166362772314506495739833387131450434857019116252\
0208337047399`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^5 - 
                    2.8990663375222962830290986848244386386672250937455555363\
0899893`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^6)*(2*Sqrt[z^(-2) - z^(-1)] + 
                     2/z)^2)/(1 + 3.01198326043417848899199145531953996668706\
673052492282250302654`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z) + 
                   4.14194919822416862782927627484031660050179019349453585464\
95814846649`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^2 + 
                   3.07501899615758642086200570757533464129276890506632393326\
07472584045`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^3 + 
                   1.12206967632264398393478711307283839212251025173640180127\
96467950317`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^4 - 
                   0.03804765477502859311483179465826166035959431135896083167\
181262`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^5 - 
                   0.19160931463517316341071383662972880552472802025558915871\
176945`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^6 - 
                   0.06980491415268021688740541888586685020456432981125700962\
430273`50*(-1 + 2*Sqrt[z^(-2) - z^(-1)] + 2/z)^7) - (53227969691*Log[4])/
                  4064256000 + (8630747*Log[4]^2)/2150400 + (191*Log[4]^3)/
                  135 - (76337*Zeta[3])/15360)/z - (1507*Zeta[3])/1440)/z + 
             (219397*Zeta[3])/80640)/z)/z)/z)/z

End[]

EndPackage[];

(* ************************************************************ *)

