Instructions about this document

This document provides the mathematical details supporting the paper. Equation numbers and figures refer to the paper unless otherwise stated. The material is furnished with a description of the main steps but it goes without saying that the reader should flank this document with the paper in order to make profit out of this material.

The material is organized as follows. Sec. 1 develops the solution of the model in the scattering formalism, starting from the definition of the single-obstacle potential and the propagator matrix. Everything is worked out in terms of the abstract expressions for the propagators, that will be made explicit later. The analysis continues in Sec. 2 with the T-matrix in the plane wave basis. We begin our analysis by working out the solution of the non confined model in Secs. 3-5. We then proceed by considering the quasi-confined model. We commence with the propagators in Sec. 6 and we obtain the velocity response in Sec. 7 and the VACF in Sec. 8.

The quasi-confined model must reduce to the non-confined one when L->∞. We also know that the quasi-confined model has less symmetry than the non-confined model; e.g., for the latter there is no distinction between the propagators g01 and g10, etc., whereas this distinction is essential in the quasi-confined model. Hence,  at the purely formal level, when we set g01=g10 (etc.) in a quantity specific for the quasi-confined model we should retrieve the non-confined model; this is tested in Sec. 9.

NB.
Please notice that the results of Sec. 4 contain, strictly speaking, also those for the non-confined model. The analysis of Sec. 4 is performed with the abstract propagators without assuming that g10=g01 (etc.), meaning that the results apply for the quasi-confined model. Results for the  non-confined model are obtained by restriction of the general solution by setting g10=g01 (etc.).

1) Fundamentals

Obstacle potential matrix

$Assumptions={F ≥0, s>0};

v= {{(1/4),0,-(1/4),0,0},{0,((E^(F/2))/4),-(1/4) (E^(-F/2)),0,0},{-(1/4),-((E^(F/2))/4),(1/4) (2+(E^(-F/2))+(E^(F/2))),-(1/4) (E^(-F/2)),-(1/4)},{0,0,-((E^(F/2))/4),((E^(-F/2))/4),0},{0,0,-(1/4),0,(1/4)}};

v//TraditionalForm

Free propagator matrix

g= {{g00, Exp[F/2]g11,g01,Exp[-F/2]g11,g02},
	{Exp[-F/2]g11, g00, Exp[-F/2]g10,Exp[-F]g20, Exp[-F/2] g11},
	{g01, Exp[F/2] g10, g00, Exp[-F/2]g10, g01},
	{Exp[F/2]g11,Exp[F]g20, Exp[F/2] g10, g00, Exp[F/2]g11},
	{g02,Exp[F/2]g11, g01, Exp[-F/2] g11, g00}};

g//TraditionalForm

Orthogonal transformation (def. of vtrans, gtrans)

(* M is an orthogonal matrix that employs the symmetries in the unbiased case and the probability conservation law *)
m = Transpose[{{1/Sqrt[2],0,0,0,-1/Sqrt[2]},
	{0,1/Sqrt[2],0,-1/Sqrt[2],0},
	{1/2,-1/2,0,-1/2,1/2},
	{1/2/Sqrt[5],1/2/Sqrt[5],-2/Sqrt[5],1/2/Sqrt[5],1/2/Sqrt[5]},
	{1/Sqrt[5],1/Sqrt[5],1/Sqrt[5],1/Sqrt[5],1/Sqrt[5]}}];
m // TraditionalForm

(* now perform the orthogonal transform *)
vtrans = Transpose[m].v.m // FullSimplify;
vtrans//TraditionalForm;

gtrans = Transpose[m].g.m // FullSimplify;
gtrans // TraditionalForm;

M-transformed inverse S-matrix: S'=(((1-v'g'))^(-1)) and its inverse

(* the heart of the calculation comes here *)
sMatrixtransInverse = IdentityMatrix[5]-vtrans.gtrans // FullSimplify;
sMatrixtransInverse//TraditionalForm;

sMatrixtrans = Inverse[sMatrixtransInverse ];
sMatrixtrans // TraditionalForm ;

M-transformed T-matrix: t'=S' v'

tMatrixtrans = sMatrixtrans.vtrans  // Simplify ; 
tMatrixtrans // TraditionalForm;

Relations among propagators

hMatrix0=FullSimplify[da*{{-2-Exp[c]-Exp[-c],0,1,0,0},{0,-2-Exp[c]-Exp[-c],Exp[-c],0,0},{1,Exp[c],-2-Exp[c]-Exp[-c],Exp[-c],1},{0,0,Exp[c],-2-Exp[c]-Exp[-c],0},{0,0,1,0,-2-Exp[c]-Exp[-c]}}];

hMatrix0//TraditionalForm

equations=FullSimplify[{0,0,1,0,0}.((s*IdentityMatrix[5]-hMatrix0).g)]/.{c->F/2,da->1/4};

equations[[3]]/.{g01->g10,g02->g20}

equationsSIMPLE=equations/.{Cosh[F/2]->2Γ-1}//Simplify;

equationsUNBIASED=equations/.{F->0}//Simplify;

MatrixForm[equationsSIMPLE]

MatrixForm[equationsUNBIASED]

equationsSIMPLE[[1]]

equationsSIMPLE[[2]]

equationsSIMPLE[[3]]

non transformed S-matrix ( S=(((I-vg))^(-1)) and consistency checks

Here we test the relationship between the S-matrix and the transformed S-matrix. The definition of S-matrix
is: S=(((I-vg))^(-1)) and the transformed S-matrix is S'=(M^T)S M. We want to test that S’=(((I-v'g'))^(-1)). Passing to the inverse S-matrices, the relation we want to test is (((S'))^(-1))=(M^T) (S^(-1))M

sMatrixInverse=FullSimplify[IdentityMatrix[5]-v.g,equations[[1]]==0&&equations[[3]]==1];
MatrixForm[sMatrixInverse];

Testing the definition of (((S'))^(-1))

(* sMatrixtransInverse- (IdentityMatrix[5]-vtrans.gtrans)//Simplify *)

Testing the definition of (S^(-1))

(* sMatrixInverse- (IdentityMatrix[5]-v.g)//Simplify *)

Testing the relationship (((S'))^(-1))=(M^T) (S^(-1))M

(* sMatrixtransInverse-Transpose[m].sMatrixInverse.m//Simplify *)

non transformed t-matrix (t=S.v) and consistency checks

tMatrix=Inverse[sMatrixInverse].v;

test=tMatrixtrans-Transpose[m].tMatrix.m;

(* test[[1]][[1]]//Simplify
test[[1]][[2]]//Simplify
test[[1]][[3]]//Simplify
test[[1]][[4]]//Simplify
test[[1]][[5]]//Simplify
test[[2]][[1]]//Simplify
test[[2]][[2]]//Simplify
test[[2]][[3]]//Simplify
test[[2]][[4]]//Simplify
test[[2]][[5]]//Simplify
test[[3]][[1]]//Simplify
test[[3]][[2]]//Simplify
test[[3]][[3]]//Simplify
test[[3]][[4]]//Simplify
test[[3]][[5]]//Simplify
test[[4]][[1]]//Simplify
test[[4]][[2]]//Simplify
test[[4]][[3]]//Simplify
test[[4]][[4]]//Simplify
test[[4]][[5]]//Simplify
test[[5]][[1]]//Simplify
test[[5]][[2]]//Simplify
test[[5]][[3]]//Simplify
test[[5]][[4]]//Simplify
test[[5]][[5]]//Simplify *)

t d-s subspace

Here we consider the inverse S-matrix in the block that extends from the diagonal element 33 to 44

subsMatrixtransInverse=Take[sMatrixtransInverse,{3,4},{3,4}];
subsMatrixtransInverse//Simplify//TraditionalForm;

we take its inverse

subsMatrixtrans=Inverse[subsMatrixtransInverse]//FullSimplify;
subsMatrixtrans//TraditionalForm;

we select the very same block in the transformed potential

subvtrans=Take[vtrans,{3,4},{3,4}];
subvtrans//TraditionalForm;

we construct the transformed T-matrix by writing T=S.v  in the subspace 34, therefore

subtMatrixtrans=subsMatrixtrans.subvtrans//FullSimplify;
subtMatrixtrans//TraditionalForm;

CHECK that the 34-extraction is really working. Now we take the elements in the 34 sub space of the full T-matrix and compare it against the above results

Simplify[subtMatrixtrans[[1]][[1]]-tMatrixtrans[[3]][[3]]/.{F->0},equationsUNBIASED[[1]]==0&&equationsUNBIASED[[3]]==1]

Simplify[subtMatrixtrans[[1]][[2]]-tMatrixtrans[[3]][[4]]/.{F->0},equationsUNBIASED[[1]]==0&&equationsUNBIASED[[3]]==1]

Simplify[subtMatrixtrans[[2]][[1]]-tMatrixtrans[[4]][[3]]/.{F->0},equationsUNBIASED[[1]]==0&&equationsUNBIASED[[3]]==1]

Simplify[subtMatrixtrans[[2]][[2]]-tMatrixtrans[[4]][[4]]/.{F->0},equationsUNBIASED[[1]]==0&&equationsUNBIASED[[3]]==1]

2) Plane wave basis

We compute the derivative of (Subscript[G, 0])(k) with respect to (Subscript[k, x])

eigenvalueh0=-2*da*((1-Cos[kx]) Cosh[c]+(1-Cos[ky])+I*Sin[kx]*Sinh[c])
eigenvalueg0=1/(s-eigenvalueh0)

g0=eigenvalueg0/.{kx->0,ky->0}
d1kxg0=D[eigenvalueg0,{kx,1}]/.{kx->0,ky->0,da->1/4}
d2kxg0=D[eigenvalueg0,{kx,2}]/.{kx->0,ky->0,da->1/4}

Determinant of the transformed inverse S-matrix in the 34-subspace

Determinant of the “sd-block” of the inverse S-matrix

detsub=Det[subsMatrixtransInverse]//FullSimplify

a simplified expression for the determinant

mydetsub=s (g00+g11-g01-g10+s(g01 g10-g00 g11));

we test it

One-step relations among propagators: projection onto |0> (version 1)

rel1={g01+g10->2(s +1)g00-2};

One-step relations among propagators: projection onto |0> (version 2)

rel2={g01->2(s +1)g00-2-g10};

One-step relations among propagators: projection onto |0> (version 3)

rel3={g00->(2/(2(s +1)))+((g01+g10)/(2(s +1)))};

Two-steps relations among propagators

rel4={g20->4(s +1)g10-g00-2g11,g02->4(s +1)g01-g00-2g11};

FullSimplify[((detsub/.{F->0})/mydetsub)/.rel4/.rel1/.rel3]

Transformed t-matrix: simplified expressions for F=0

FullSimplify[tMatrixtrans[[1]][[1]]]

tMatrixtrans[[2]][[2]]/.{F->0}//Simplify

FullSimplify[tMatrixtrans[[3]][[3]]mydetsub/.{F->0}/.rel4/.rel1/.rel2]

FullSimplify[tMatrixtrans[[4]][[4]]mydetsub/.{F->0}/.rel4/.rel3/.rel1/.rel2]

FullSimplify[tMatrixtrans[[3]][[4]]mydetsub/.{F->0}/.rel4/.rel2/.rel3]

T-matrix in the plane wave basis

we introduce the right/left waves

waveright=(1/(Sqrt[NN])){{Exp[-I ky]},{Exp[-I kx]},{1},{Exp[I kx]},{Exp[I ky]}};
waveright//TraditionalForm

waverighttrans=Transpose[m].waveright//FullSimplify;
waverighttrans//TraditionalForm

waveleft=Transpose[waveright/.{kx->-kx,ky->-ky}];
waveleft//TraditionalForm

wavelefttrans=waveleft.m//FullSimplify;
wavelefttrans//TraditionalForm

(*tplanewave=FullSimplify[/.rel1]*)

tplanewave=wavelefttrans.tMatrixtrans.waverighttrans;

tplanewave//TraditionalForm

tMatrixtrans//TraditionalForm

tMatrixtrans[[3]]//TraditionalForm;

(*gtrans.tMatrixtrans.gtrans//MatrixForm;*)

3) Non confined model: velocity response and VACF

BASICS

it is better to define the T.matrix in plane wave basis without the NN factor, so we define

kVector={Exp[-I*ky],Exp[-I*kx],Exp[0],Exp[I*kx],Exp[I*ky]}
kVectorConjugate={Exp[I*ky],Exp[I*kx],Exp[0],Exp[-I*kx],Exp[-I*ky]}
tMatrixPlaneWaves=kVectorConjugate.tMatrix.kVector;
tMatrixtransPlaneWaves=kVectorConjugate.tMatrixtrans.kVector;
tMatrixPlaneWaves/.{kx->0,ky->0}//Simplify

((D[tplanewave,{kx,1}])/(I (Sqrt[10])tMatrixtrans[[2]][[5]]))/.{kx->0,ky->0}//Simplify

((D[tMatrixPlaneWaves,{kx,1}])/(I (Sqrt[10])tMatrixtrans[[2]][[5]]))/.{kx->0,ky->0}//Simplify

DetsMatrixInverse=Det[sMatrixInverse];

d1kxtMatrixElementDet=D[tMatrixPlaneWaves DetsMatrixInverse,{kx,1}]/.{kx->0,ky->0};

d1kxtMatrixElementExpl=(d1kxtMatrixElementDet/DetsMatrixInverse);

PROPAGATORTS FOR THE NON CONFINED MODEL

ellipticrule ={ eK -> EllipticK[1/ss^2] , eE -> EllipticE[1/ss^2]};

g00Expl = (2/π) (eK/ss);

g10Expl= ss g00Expl - 1 // Simplify;

g20Expl = 4 ss g10Expl -g00Expl -2 g11Expl // Simplify;
g11Expl =(-(2/(π ))) (((2 (ss^2) eE+ (1-2 (ss^2)) eK )/ss) );

VELOCITY RESPONSE FOR THE NON CONFINED MODEL

vresponse=d1kxtMatrixElementExpl//Simplify;

unbounded02=vresponse/.{g00->g00Expl,g11->g11Expl,g10->g10Expl,g20->g20Expl,g01->g10Expl,g02->g20Expl};

unbounded03=unbounded02/.{ss->((1+Cosh[F/2])/2)}//Simplify;

unbounded04=I unbounded03/(Sinh[F/2]/2);

unbounded05=FullSimplify /@ Apart[unbounded04,eK]

unbounded06=(-2-(((-2 eE+π) (-1+Cosh[F]))/(4 (-eE-eK+π+(-eE+eK) Cosh[(F/2)])))-((8 (-2 eE+π) ((Cosh[(F/4)])^6))/(3 eE+5 eK+(eE-eK) (4 Cosh[(F/2)]+Cosh[F]))));

TrueQ[unbounded05-unbounded06==0]

unbounded07=unbounded06/.ellipticrule/.{ss->0+((1+Cosh[F/2])/2)}//Simplify;

unbounded08[F_]:=-2-((8 ((Cosh[(F/4)])^6) (π-2 EllipticE[((Sech[(F/4)])^4)]))/(8 ((Cosh[(F/4)])^4) EllipticE[((Sech[(F/4)])^4)]-(-5+4 Cosh[(F/2)]+Cosh[F]) EllipticK[((Sech[(F/4)])^4)]))-(((-1+Cosh[F]) (π-2 EllipticE[((Sech[(F/4)])^4)]))/(4 (π-2 ((Cosh[(F/4)])^2) EllipticE[((Sech[(F/4)])^4)]+2 EllipticK[((Sech[(F/4)])^4)] ((Sinh[(F/4)])^2))))

fThomasS17[eE_,eK_,d_]:=-(((((1/(4d)))(π-2 eE))/(eE-(1-16(d^2))eK))-(((1-(1/(4d)))(π-2 eE))/(2π d-eE+(1-4d)eK)))-2

fThomasS17[eE,eK,(1/(2(1+Cosh[F/2])))]-unbounded06//Simplify

((fThomasS17[eE,eK,(1/(2(1+Cosh[F/2])))])/(unbounded08[F]))/.ellipticrule/.{ss->((1+Cosh[F/2])/2)}//Simplify

(*((I unbounded02)/(Sinh[F/2]/2))/.ellipticrule/.{ss->s+((1+Cosh[F/2])/2)}//Simplify*)

veloxResp=Simplify[ I*(d1kxg0+g0^2*d1kxtMatrixElementExpl)]/.{c->F/2}/.{g00->g00Expl,g11->g11Expl,g01->g10Expl,g10->g10Expl,g02->g20Expl,g20->g20Expl,c->F/2};

DEFINITION OF (Subscript[ℱ, ∞])(F,s)

operative definition

TemporaryDefinition1=I vresponse/.{g00->g00Expl,g11->g11Expl,g10->g10Expl,g20->g20Expl,g01->g10Expl,g02->g20Expl};

TemporaryDefinition2=TemporaryDefinition1/.ellipticrule/.{ss->s+((1+Cosh[F/2])/2)};

TemporaryDefinition3=TemporaryDefinition2//Simplify;

the compact definition

functionFinfinity[F_,s_]:=-((π ((π^2) (1+6 (E^F)+(E^(2 F))+4 (E^(F/2)) (1+s)+4 (E^(3 F/2)) (1+s)) (((1+(E^F)+(E^(F/2)) (2+4 s)))^2)-32 (E^F) (((-1+(E^(F/2))))^2) π (1+(E^F)+(E^(F/2)) (2+4 s)) EllipticK[(4/(((1+2 s+Cosh[(F/2)]))^2))]-4 (1+(E^(4 F))+4 (E^(F/2)) (1+3 s)+4 (E^(7 F/2)) (1+3 s)+4 (E^F) (-3+8 s+12 (s^2))+4 (E^(3 F)) (-3+8 s+12 (s^2))+(E^(2 F)) (22+32 (s^2))+(E^(3 F/2)) (-4-44 s+64 (s^2)+64 (s^3))+(E^(5 F/2)) (-4-44 s+64 (s^2)+64 (s^3))) ((EllipticK[(4/(((1+2 s+Cosh[(F/2)]))^2))])^2)-4 (((1+(E^F)+(E^(F/2)) (2+4 s)))^2) EllipticE[(4/(((1+2 s+Cosh[(F/2)]))^2))] ((1+(E^F)) π (1+(E^F)+(E^(F/2)) (2+4 s))-2 (1-2 (E^F)+(E^(2 F))+4 (E^(F/2)) s+4 (E^(3 F/2)) s) EllipticK[(4/(((1+2 s+Cosh[(F/2)]))^2))])))/(-2 (((1+(E^F)+(E^(F/2)) (2+4 s)))^3) ((EllipticE[(4/(((1+2 s+Cosh[(F/2)]))^2))])^2) (π (1+(E^F)+(E^(F/2)) (2+4 s))-8 (E^(F/2)) s EllipticK[(4/(((1+2 s+Cosh[(F/2)]))^2))])+2 (1+(E^F)+(E^(F/2)) (2+4 s)) EllipticE[(4/(((1+2 s+Cosh[(F/2)]))^2))] ((E^(F/2)) (π^2) (2+3 s) (((1+(E^F)+(E^(F/2)) (2+4 s)))^2)+2 π (1+(E^(3 F))+(E^(F/2)) (4+6 s)+(E^(5 F/2)) (4+6 s)+(E^F) (-1+8 s)+(E^(2 F)) (-1+8 s)-4 (E^(3 F/2)) (2+7 s+8 (s^2)+8 (s^3))) EllipticK[(4/(((1+2 s+Cosh[(F/2)]))^2))]-4 (E^(F/2)) s (1+(E^(2 F))+(E^(F/2)) (4+8 s)+(E^(3 F/2)) (4+8 s)+2 (E^F) (-5+8 s+8 (s^2))) ((EllipticK[(4/(((1+2 s+Cosh[(F/2)]))^2))])^2))-π (1+(E^F)+(E^(F/2)) (6+4 s)) ((E^(F/2)) (π^2) s (((1+(E^F)+(E^(F/2)) (2+4 s)))^2)+4 (E^(F/2)) (((-1+(E^(F/2))))^2) π (1+(E^F)+(E^(F/2)) (2+4 s)) EllipticK[(4/(((1+2 s+Cosh[(F/2)]))^2))]+2 (1+(E^(3 F))+(E^(F/2)) (-2+6 s)+(E^(5 F/2)) (-2+6 s)-(E^F) (1+8 s)-(E^(2 F)) (1+8 s)+4 (E^(3 F/2)) (1+s-8 (s^3))) ((EllipticK[(4/(((1+2 s+Cosh[(F/2)]))^2))])^2))))

consistency check

(* the function (Subscript[ℱ, ∞])(F,s) is defined as follows: (Subscript[v, 0])(Subscript[ℱ, ∞])(F,s)=TemporaryDefinition3 *)

TemporaryDefinition3-(1/2)Sinh[F/2]functionFinfinity[F,s]//Simplify

PROPERTIES OF  (Subscript[ℱ, ∞])(F,s) and equilibrium VACF(s)

Series[functionFinfinity[F,0],{F,0,2}]-(-π+((F^2)/32) (-3 π-(-4+π) Log[128]+2 (-4+π) Log[F]) )//Simplify

Series[functionFinfinity[F,s],{F,0,1}]//Simplify

VACFinfinity[s_]:=((2 π)/(π s-2 (1+s) EllipticE[(1/(((1+s))^2))]))

4) Non confined model: MSD and check with Fig. 3 of PRL 118, 018001 (2017)

We compute the second derivative of (Subscript[G, 0])(k) with respect to (Subscript[k, x]) (here we compute the MSD response and velocity response )

DetsMatrixInverseSimplified=Simplify[Det[sMatrixInverse],equations[[1]]==0&&equations[[3]]==1];

d2kxtMatrixElementDet=FullSimplify[D[tMatrixPlaneWaves DetsMatrixInverseSimplified,{kx,2}]/.{kx->0,ky->0},equations[[1]]==0&&equations[[3]]==1]

d2kxtMatrixElementExpl=Simplify[d2kxtMatrixElementDet/DetsMatrixInverseSimplified/.{c->F/2}];

msdxResp=-(d2kxg0+4*g0*d1kxg0*d1kxtMatrixElementExpl+g0^2*d2kxtMatrixElementExpl)/.{ss->s+((1+Cosh[F/2])/2),c->F/2};

msdxRespVersion1=msdxResp;

msdxRespVersion2=msdxRespVersion1/.{g01->g10,g02->g20};

msdxRespVersion3=msdxRespVersion2/.{g00->g00Expl,g11->g11Expl,g10->g10Expl,g20->g20Expl};

msdxRespVersion4=msdxRespVersion3;

Responses (summary)

(* the following function "msdxRespVersionFinal" is actually "msdxRespVersion4" , so msdxRespVersion4-msdxRespVersionFinal//Simplify it is equal to zero*)

msdxRespVersionFinal=-(((E^(-F)) (π (ss^2) (32 (E^(F/2)) (eE^2) (ss^2) (1+(E^(3 F))+(E^F) (-1+s (4-8 ss))+(E^(2 F)) (-1+s (4-8 ss))-2 (E^(F/2)) (-1+s+2 ss)-2 (E^(5 F/2)) (-1+s+2 ss)+4 (E^(3 F/2)) (-1+3 s+2 ss))+(π^2) (1+(E^F)+(E^(F/2)) (2-4 ss)) (3+7 ss+(E^(3 F)) (3+7 ss)-4 (E^(3 F/2)) (3+ss+2 (ss^2)+s (3+5 ss))+2 (E^(F/2)) (3+ss+2 (ss^2)+s (5+11 ss))+2 (E^(5 F/2)) (3+ss+2 (ss^2)+s (5+11 ss))+(E^F) (-3-7 ss+4 s (1+ss+2 (ss^2)))+(E^(2 F)) (-3-7 ss+4 s (1+ss+2 (ss^2))))+2 eE π ss (-13-13 (E^(4 F))+(E^(F/2)) (-28-42 s+40 ss)+(E^(7 F/2)) (-28-42 s+40 ss)+(E^(2 F)) (34+s (16-224 ss)+32 ss-96 (ss^2))+4 (E^F) (-1-4 ss+12 (ss^2)+2 s (-7+18 ss))+4 (E^(3 F)) (-1-4 ss+12 (ss^2)+2 s (-7+18 ss))+(E^(3 F/2)) (28-40 ss+s (-6-32 ss+96 (ss^2)))+(E^(5 F/2)) (28-40 ss+s (-6-32 ss+96 (ss^2)))))-4 (eK^2) (-1+(ss^2)) (2 eE (1-2 (E^F)+(E^(2 F))+2 (E^(F/2)) s+2 (E^(3 F/2)) s) (((1+(E^F)+(E^(F/2)) (2-4 ss)))^2) ss+π (-3+5 ss+(E^(4 F)) (-3+5 ss)+2 (E^(F/2)) (-6+10 ss-8 (ss^2)+s (-5+9 ss))+2 (E^(7 F/2)) (-6+10 ss-8 (ss^2)+s (-5+9 ss))-4 (E^F) (3-5 ss-4 (ss^2)+4 (ss^3)+2 s (3-5 ss+4 (ss^2)))-4 (E^(3 F)) (3-5 ss-4 (ss^2)+4 (ss^3)+2 s (3-5 ss+4 (ss^2)))+2 (E^(2 F)) (15-25 ss-16 (ss^2)+16 (ss^3)+8 s (1-3 ss+4 (ss^2)))-2 (E^(3 F/2)) (-6+10 ss-8 (ss^2)+s (3+ss-16 (ss^2)+16 (ss^3)))-2 (E^(5 F/2)) (-6+10 ss-8 (ss^2)+s (3+ss-16 (ss^2)+16 (ss^3)))))-4 eK ss (-4 (eE^2) (1-2 (E^F)+(E^(2 F))+2 (E^(F/2)) s+2 (E^(3 F/2)) s) (((1+(E^F)+(E^(F/2)) (2-4 ss)))^2) (ss^2)-(((-1+(E^(F/2))))^2) (π^2) (-3+(E^(3 F)) (-3+ss)+ss+2 (E^(F/2)) (-3+s (-5+ss)+7 ss-2 (ss^2))+2 (E^(5 F/2)) (-3+s (-5+ss)+7 ss-2 (ss^2))-(E^F) (-3+ss+4 s (5-11 ss+6 (ss^2)))-(E^(2 F)) (-3+ss+4 s (5-11 ss+6 (ss^2)))-4 (E^(3 F/2)) (-3+7 ss-2 (ss^2)+s (5-17 ss+8 (ss^2))))+2 eE π ss (4+(E^(4 F)) (4-5 ss)-5 ss+2 (E^(F/2)) (6+s (6-9 ss)-12 ss+8 (ss^2))+2 (E^(7 F/2)) (6+s (6-9 ss)-12 ss+8 (ss^2))+4 (E^F) (2-3 ss-4 (ss^2)+4 (ss^3)+2 s (5-8 ss+4 (ss^2)))+4 (E^(3 F)) (2-3 ss-4 (ss^2)+4 (ss^3)+2 s (5-8 ss+4 (ss^2)))+(E^(2 F)) (-24+34 ss+32 (ss^2)-32 (ss^3)-16 s (3-4 ss+4 (ss^2)))+2 (E^(3 F/2)) (-6+12 ss-8 (ss^2)+s (2+9 ss-16 (ss^2)+16 (ss^3)))+2 (E^(5 F/2)) (-6+12 ss-8 (ss^2)+s (2+9 ss-16 (ss^2)+16 (ss^3)))))))/(8 (s^3) (1+(E^F)+(E^(F/2)) (2-4 ss)) (π (ss^2) (-32 (E^(F/2)) (eE^2) (ss^2)+(π^2) (1+(E^F)+(E^(F/2)) (2-4 ss)) (1+ss)+2 eE π ss (-3-3 (E^F)+2 (E^(F/2)) (1+6 ss)))+4 (eK^2) (-1+(ss^2)) (-2 eE ss (-1-(E^F)+(E^(F/2)) (-2+4 ss))+π (1+(E^F) (1-3 ss)-3 ss+(E^(F/2)) (2-2 ss+4 (ss^2))))-4 eK ss ((((-1+(E^(F/2))))^2) (π^2) (1+ss)-4 (eE^2) (ss^2) (-1-(E^F)+(E^(F/2)) (-2+4 ss))+2 eE π ss (-3 ss-3 (E^F) ss+(E^(F/2)) (4-2 ss+4 (ss^2)))))));

veloxRespVersionFinal=-(((E^(-F)) (8 (E^(F/2)) (-1+(E^F)) (-4 (-1+((2 eK)/π))-2 (((-1+((2 eK)/π)))^2)+((2 eK (-1+((2 eK)/π)))/(π ss))+((2 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)))/(π ss))-((8 eK (2 eE (ss^2)+eK (1-2 (ss^2))))/((π^2) (ss^2)))+((4 (-1+((2 eK)/π)) (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))+(E^(2 F)) (-((4 (1-((2 eK)/π)+((2 eK)/(π ss))) (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))+(-1+((2 eK)/π)) (-4-2 (-1+((2 eK)/π))+((2 eK)/(π ss))+((2 (eK-2 (-2 eE+π) (ss^2)))/(π ss))))+(E^(F/2)) (8 (((-1+((2 eK)/π)))^2)-((20 (eK^2))/((π^2) (ss^2)))+((8 eK (-1+((2 eK)/π)))/(π ss))+((8 (eK-2 (-2 eE+π) (ss^2)))/(π ss))+((8 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)))/(π ss))-((4 (((eK-2 (-2 eE+π) (ss^2)))^2))/((π^2) (ss^2)))+((16 (-1+((2 eK)/π)) (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))+((16 (((2 eE (ss^2)+eK (1-2 (ss^2))))^2))/((π^2) (ss^2)))-((6 eK (-4+((4 (eK-2 (-2 eE+π) (ss^2)))/(π ss))))/(π ss)))+(E^(3 F/2)) (8 (((-1+((2 eK)/π)))^2)-((20 (eK^2))/((π^2) (ss^2)))+((8 eK (-1+((2 eK)/π)))/(π ss))+((8 (eK-2 (-2 eE+π) (ss^2)))/(π ss))+((8 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)))/(π ss))-((4 (((eK-2 (-2 eE+π) (ss^2)))^2))/((π^2) (ss^2)))+((16 (-1+((2 eK)/π)) (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))+((16 (((2 eE (ss^2)+eK (1-2 (ss^2))))^2))/((π^2) (ss^2)))-((6 eK (-4+((4 (eK-2 (-2 eE+π) (ss^2)))/(π ss))))/(π ss)))+2 (E^F) ((4+3 (-1+((2 eK)/π))) (-4+((2 (eK-2 (-2 eE+π) (ss^2)))/(π ss)))-2 (-1+((2 eK)/π)) (8+3 (-1+((2 eK)/π))-((6 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss)))+((6 eK (3+((2 eK)/π)-((4 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))))/(π ss))))-4 (E^F) (4 (((-1+((2 eK)/π)))^2)+((8 (eK^3))/((π^3) (ss^3)))-((16 (eK^2))/((π^2) (ss^2)))-((6 eK (((-1+((2 eK)/π)))^2))/(π ss))+((8 (eK^2) (eK-2 (-2 eE+π) (ss^2)))/((π^3) (ss^3)))-((2 (((-1+((2 eK)/π)))^2) (eK-2 (-2 eE+π) (ss^2)))/(π ss))-((8 (((-1+((2 eK)/π)))^2) (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))-((16 eK (((2 eE (ss^2)+eK (1-2 (ss^2))))^2))/((π^3) (ss^3)))+(E^(2 F)) (((8 (eK^3))/((π^3) (ss^3)))+((4 (eK^2) (-4+((2 (eK-2 (-2 eE+π) (ss^2)))/(π ss))))/((π^2) (ss^2)))-((2 eK (3 (((-1+((2 eK)/π)))^2)+((8 (((2 eE (ss^2)+eK (1-2 (ss^2))))^2))/((π^2) (ss^2)))))/(π ss))+(-1+((2 eK)/π)) (-((8 (-1+((2 eK)/π)) (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))-(-1+((2 eK)/π)) (-4+((2 (eK-2 (-2 eE+π) (ss^2)))/(π ss)))))+(E^F) (-64-64 (-1+((2 eK)/π))-8 (((-1+((2 eK)/π)))^2)+((24 (eK^3))/((π^3) (ss^3)))+((32 (eK-2 (-2 eE+π) (ss^2)))/(π ss))+((32 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)))/(π ss))+((20 (((-1+((2 eK)/π)))^2) (eK-2 (-2 eE+π) (ss^2)))/(π ss))+((16 (((eK-2 (-2 eE+π) (ss^2)))^2))/((π^2) (ss^2)))-((8 (((eK-2 (-2 eE+π) (ss^2)))^3))/((π^3) (ss^3)))+((32 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)) (2 eE (ss^2)+eK (1-2 (ss^2))))/((π^2) (ss^2)))+((32 (eK-2 (-2 eE+π) (ss^2)) (((2 eE (ss^2)+eK (1-2 (ss^2))))^2))/((π^3) (ss^3)))+((4 (eK^2) (-4-4 (-1+((2 eK)/π))-((2 (eK-2 (-2 eE+π) (ss^2)))/(π ss))))/((π^2) (ss^2)))+(1/(π ss))2 eK (48-2 (((-1+((2 eK)/π)))^2)+((16 (eK-2 (-2 eE+π) (ss^2)))/(π ss))-((20 (((eK-2 (-2 eE+π) (ss^2)))^2))/((π^2) (ss^2)))-((64 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))+8 (-1+((2 eK)/π)) (2-((2 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))))-4 (-1+((2 eK)/π)) (16-((4 (((eK-2 (-2 eE+π) (ss^2)))^2))/((π^2) (ss^2)))-((16 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))+2 (-1+((2 eK)/π)) (4-((2 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss)))))-2 (E^(F/2)) (-8 (((-1+((2 eK)/π)))^2)+((8 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)))/(π ss))-((4 (-1+((2 eK)/π)) (((eK-2 (-2 eE+π) (ss^2)))^2))/((π^2) (ss^2)))-((16 (-1+((2 eK)/π)) (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))-((16 (((2 eE (ss^2)+eK (1-2 (ss^2))))^2))/((π^2) (ss^2)))+((4 (eK^2) (7+((2 eK)/π)-((4 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))))/((π^2) (ss^2)))+((4 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)) (-1+((2 eK)/π)-((2 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))))/(π ss))-(1/(π ss))2 eK (16+4 (-1+((2 eK)/π))+((2 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)))/(π ss))-((2 (3+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)))/(π ss))-((8 (eK-2 (-2 eE+π) (ss^2)) (2 eE (ss^2)+eK (1-2 (ss^2))))/((π^2) (ss^2)))+2 (-1+((2 eK)/π)) (3+((2 eK)/π)-((2 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss)))))-2 (E^(3 F/2)) (-8 (((-1+((2 eK)/π)))^2)+((8 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)))/(π ss))-((4 (-1+((2 eK)/π)) (((eK-2 (-2 eE+π) (ss^2)))^2))/((π^2) (ss^2)))-((16 (-1+((2 eK)/π)) (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))-((16 (((2 eE (ss^2)+eK (1-2 (ss^2))))^2))/((π^2) (ss^2)))+((4 (eK^2) (7+((2 eK)/π)-((4 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))))/((π^2) (ss^2)))+((4 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)) (-1+((2 eK)/π)-((2 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))))/(π ss))-(1/(π ss))2 eK (16+4 (-1+((2 eK)/π))+((2 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)))/(π ss))-((2 (3+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)))/(π ss))-((8 (eK-2 (-2 eE+π) (ss^2)) (2 eE (ss^2)+eK (1-2 (ss^2))))/((π^2) (ss^2)))+2 (-1+((2 eK)/π)) (3+((2 eK)/π)-((2 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss)))))) Sinh[(F/2)]))/(8 (s^2) (((8 (eK^3))/((π^3) (ss^3)))+((4 (eK^2) (-4+((2 (eK-2 (-2 eE+π) (ss^2)))/(π ss))))/((π^2) (ss^2)))-((2 eK (3 (((-1+((2 eK)/π)))^2)+((8 (((2 eE (ss^2)+eK (1-2 (ss^2))))^2))/((π^2) (ss^2)))))/(π ss))+(-1+((2 eK)/π)) (-((8 (-1+((2 eK)/π)) (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))-(-1+((2 eK)/π)) (-4+((2 (eK-2 (-2 eE+π) (ss^2)))/(π ss))))+(E^(2 F)) (((8 (eK^3))/((π^3) (ss^3)))+((4 (eK^2) (-4+((2 (eK-2 (-2 eE+π) (ss^2)))/(π ss))))/((π^2) (ss^2)))-((2 eK (3 (((-1+((2 eK)/π)))^2)+((8 (((2 eE (ss^2)+eK (1-2 (ss^2))))^2))/((π^2) (ss^2)))))/(π ss))+(-1+((2 eK)/π)) (-((8 (-1+((2 eK)/π)) (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))-(-1+((2 eK)/π)) (-4+((2 (eK-2 (-2 eE+π) (ss^2)))/(π ss)))))+(E^F) (-64-64 (-1+((2 eK)/π))-8 (((-1+((2 eK)/π)))^2)+((24 (eK^3))/((π^3) (ss^3)))+((32 (eK-2 (-2 eE+π) (ss^2)))/(π ss))+((32 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)))/(π ss))+((20 (((-1+((2 eK)/π)))^2) (eK-2 (-2 eE+π) (ss^2)))/(π ss))+((16 (((eK-2 (-2 eE+π) (ss^2)))^2))/((π^2) (ss^2)))-((8 (((eK-2 (-2 eE+π) (ss^2)))^3))/((π^3) (ss^3)))+((32 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)) (2 eE (ss^2)+eK (1-2 (ss^2))))/((π^2) (ss^2)))+((32 (eK-2 (-2 eE+π) (ss^2)) (((2 eE (ss^2)+eK (1-2 (ss^2))))^2))/((π^3) (ss^3)))+((4 (eK^2) (-4-4 (-1+((2 eK)/π))-((2 (eK-2 (-2 eE+π) (ss^2)))/(π ss))))/((π^2) (ss^2)))+(1/(π ss))2 eK (48-2 (((-1+((2 eK)/π)))^2)+((16 (eK-2 (-2 eE+π) (ss^2)))/(π ss))-((20 (((eK-2 (-2 eE+π) (ss^2)))^2))/((π^2) (ss^2)))-((64 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))+8 (-1+((2 eK)/π)) (2-((2 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))))-4 (-1+((2 eK)/π)) (16-((4 (((eK-2 (-2 eE+π) (ss^2)))^2))/((π^2) (ss^2)))-((16 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))+2 (-1+((2 eK)/π)) (4-((2 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss)))))-2 (E^(F/2)) (-8 (((-1+((2 eK)/π)))^2)+((8 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)))/(π ss))-((4 (-1+((2 eK)/π)) (((eK-2 (-2 eE+π) (ss^2)))^2))/((π^2) (ss^2)))-((16 (-1+((2 eK)/π)) (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))-((16 (((2 eE (ss^2)+eK (1-2 (ss^2))))^2))/((π^2) (ss^2)))+((4 (eK^2) (7+((2 eK)/π)-((4 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))))/((π^2) (ss^2)))+((4 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)) (-1+((2 eK)/π)-((2 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))))/(π ss))-(1/(π ss))2 eK (16+4 (-1+((2 eK)/π))+((2 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)))/(π ss))-((2 (3+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)))/(π ss))-((8 (eK-2 (-2 eE+π) (ss^2)) (2 eE (ss^2)+eK (1-2 (ss^2))))/((π^2) (ss^2)))+2 (-1+((2 eK)/π)) (3+((2 eK)/π)-((2 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss)))))-2 (E^(3 F/2)) (-8 (((-1+((2 eK)/π)))^2)+((8 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)))/(π ss))-((4 (-1+((2 eK)/π)) (((eK-2 (-2 eE+π) (ss^2)))^2))/((π^2) (ss^2)))-((16 (-1+((2 eK)/π)) (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))-((16 (((2 eE (ss^2)+eK (1-2 (ss^2))))^2))/((π^2) (ss^2)))+((4 (eK^2) (7+((2 eK)/π)-((4 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))))/((π^2) (ss^2)))+((4 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)) (-1+((2 eK)/π)-((2 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))))/(π ss))-(1/(π ss))2 eK (16+4 (-1+((2 eK)/π))+((2 (-1+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)))/(π ss))-((2 (3+((2 eK)/π)) (eK-2 (-2 eE+π) (ss^2)))/(π ss))-((8 (eK-2 (-2 eE+π) (ss^2)) (2 eE (ss^2)+eK (1-2 (ss^2))))/((π^2) (ss^2)))+2 (-1+((2 eK)/π)) (3+((2 eK)/π)-((2 (2 eE (ss^2)+eK (1-2 (ss^2))))/(π ss))))))));

Analysis of the poles in Velocity & MSD

msdxRespPole3=Coefficient[Series[msdxRespVersionFinal/. ellipticrule /. ss-> s+ ((1+Cosh[F/2])/2),{s,0,2}],s,-3];

msdxRespPole2=Coefficient[Series[msdxRespVersionFinal/. ellipticrule /. ss-> s+ ((1+Cosh[F/2])/2),{s,0,2}],s,-2];

(* msdxRespPole1=Coefficient[Series[msdxRespVersionFinal/. ellipticrule /. ss-> s+ ((1+Cosh[F/2])/2),{s,0,2}],s,-1]; *)

veloxRespPole2=Coefficient[Series[veloxRespVersionFinal/. ellipticrule /. ss-> s+ ((1+Cosh[F/2])/2),{s,0,2}],s,-2];

veloxRespPole1=Coefficient[Series[veloxRespVersionFinal/. ellipticrule /. ss-> s+ ((1+Cosh[F/2])/2),{s,0,2}],s,-1];

(msdxRespPole3/(4((1/2)Sinh[(F/2)])veloxRespPole2))//Simplify

Diffusion (Here we obtain Fig. 3 of PRL 118, 018001 (2017))

DiffusionResponse[F_]:=(1/2)(msdxRespPole2-2((1/2)Sinh[(F/2)])veloxRespPole1);

Show[LogPlot[((Exp[3F/2])/16),{F,(10^(-3)),6},PlotRange->{{(10^(-3)),6},{(10^(-2)),(10^3)}},PlotStyle->Red],ListLogPlot[Table[{F,DiffusionResponse[F]-((1-π)/4)},{F,(10^(-3)),6,0.05}],PlotRange->{{(10^(-3)),6},{(10^(-2)),(10^3)}}]]

Series[DiffusionResponse[F]-((1/4)-(π/4))-(F^2)((((24+6 π+(π^2)-4 (π^3)))/(128 (-2+π)))+(( (8+4 π+3 (π^2)))/(128 π))7Log[2]-(((8+4 π+3 (π^2)) Log[F])/(64 π))),{F,0,2}]

(* msdx contains 1/s^2 pole and 1/s^3 pole from velocity contributions *)
msdx=-d2kxg0+n*msdxRespVersionFinal;

Series[Normal[Series[d2kxg0/.{c->F/2},{F,0,3}]],{s,0,2}]

LogLogPlot[{((DiffusionResponse[F]-(((1-π)/4)))/((1/4)Cosh[F/2])),((((3(π^2)+4π+8)/(16π))(F^2)((7/2)Log[2]-((4(π^4)-(π^3)-6(π^2)-24π)/(2(π-2)(3(π^2)+4π+8)))-Log[F]))/(Cosh[F/2])),(((1/16)Exp[3F/2])/((1/4)Cosh[F/2]))},{F,(10^(-1)),(10^1)},PlotRange->{{(10^(-1)),(10^1)},{(10^(-3)),(10^4)}},Frame->True,FrameLabel->{"F","\!\(\*FractionBox[\(\*SubsuperscriptBox[\(D\), \(x\), \(ind\)] - \*SubsuperscriptBox[\(D\), \(x\), \(ind\)] \((n = 0)\)\), \(n\\ \*SubsuperscriptBox[\(D\), \(x\), \(0\)]\)]\)"},PlotLegends->{"exact","small F","large F"}]

5) MSD response & Velocity response for L=∞

definitions

MrespFUNZIONA[s_,F_]:=((Cosh[(F/2)])/(2 (s^2)))+((E^F) π (-8 (π^2) (((s+(1/2) (1+Cosh[(F/2)])))^4)-3 (π^2) (((s+(1/2) (1+Cosh[(F/2)])))^2) Cosh[((3 F)/2)]-6 (π^2) (((s+(1/2) (1+Cosh[(F/2)])))^3) Cosh[((3 F)/2)]+32 π (((s+(1/2) (1+Cosh[(F/2)])))^4) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+24 π (((s+(1/2) (1+Cosh[(F/2)])))^3) Cosh[((3 F)/2)] EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]-32 (((s+(1/2) (1+Cosh[(F/2)])))^4) ((EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2)+16 π (((s+(1/2) (1+Cosh[(F/2)])))^2) EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]-16 π (((s+(1/2) (1+Cosh[(F/2)])))^3) EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+12 π (s+(1/2) (1+Cosh[(F/2)])) Cosh[((3 F)/2)] EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]-32 (((s+(1/2) (1+Cosh[(F/2)])))^2) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))] EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+32 (((s+(1/2) (1+Cosh[(F/2)])))^3) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))] EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+24 (((s+(1/2) (1+Cosh[(F/2)])))^2) Cosh[((3 F)/2)] EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))] EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]-48 (((s+(1/2) (1+Cosh[(F/2)])))^3) Cosh[((3 F)/2)] EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))] EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+12 Cosh[((3 F)/2)] ((EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2)-24 (s+(1/2) (1+Cosh[(F/2)])) Cosh[((3 F)/2)] ((EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2)-12 (((s+(1/2) (1+Cosh[(F/2)])))^2) Cosh[((3 F)/2)] ((EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2)+24 (((s+(1/2) (1+Cosh[(F/2)])))^3) Cosh[((3 F)/2)] ((EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2)+Cosh[(F/2)] (π (((s+(1/2) (1+Cosh[(F/2)])))^2) (π (-5+6 (s+(1/2) (1+Cosh[(F/2)])))+8 (s+(1/2) (1+Cosh[(F/2)])) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])+4 (s+(1/2) (1+Cosh[(F/2)])) (π (-3+8 (s+(1/2) (1+Cosh[(F/2)])))+10 (s+(1/2) (1+Cosh[(F/2)])) (1-2 (s+(1/2) (1+Cosh[(F/2)]))) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]) EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+20 (1-2 (s+(1/2) (1+Cosh[(F/2)]))-(((s+(1/2) (1+Cosh[(F/2)])))^2)+2 (((s+(1/2) (1+Cosh[(F/2)])))^3)) ((EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2))-8 Cosh[F] ((((s+(1/2) (1+Cosh[(F/2)])))^2) ((π^2) (1-3 (((s+(1/2) (1+Cosh[(F/2)])))^2))+4 π (s+(1/2) (1+Cosh[(F/2)])) (-1+3 (s+(1/2) (1+Cosh[(F/2)]))) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]-4 (((s+(1/2) (1+Cosh[(F/2)])))^2) ((EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2))-2 (((s+(1/2) (1+Cosh[(F/2)])))^2) (π (-3+s+(1/2) (1+Cosh[(F/2)]))+2 (3-5 (s+(1/2) (1+Cosh[(F/2)]))+4 (((s+(1/2) (1+Cosh[(F/2)])))^2)) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]) EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+(-4+8 (s+(1/2) (1+Cosh[(F/2)]))-4 (((s+(1/2) (1+Cosh[(F/2)])))^2)-8 (((s+(1/2) (1+Cosh[(F/2)])))^3)+8 (((s+(1/2) (1+Cosh[(F/2)])))^4)) ((EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2))))/((s^2) (1+(E^F)+(E^(F/2)) (2-4 (s+(1/2) (1+Cosh[(F/2)])))) (π (((s+(1/2) (1+Cosh[(F/2)])))^2) ((π^2) (1+s+(1/2) (1+Cosh[(F/2)])) (1+(E^F)+(E^(F/2)) (2-4 (s+(1/2) (1+Cosh[(F/2)]))))+2 π (s+(1/2) (1+Cosh[(F/2)])) (-3-3 (E^F)+2 (E^(F/2)) (1+6 (s+(1/2) (1+Cosh[(F/2)])))) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]-32 (E^(F/2)) (((s+(1/2) (1+Cosh[(F/2)])))^2) ((EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2))-4 (s+(1/2) (1+Cosh[(F/2)])) ((((-1+(E^(F/2))))^2) (π^2) (1+s+(1/2) (1+Cosh[(F/2)]))+2 π (s+(1/2) (1+Cosh[(F/2)])) (-3 (s+(1/2) (1+Cosh[(F/2)]))-3 (E^F) (s+(1/2) (1+Cosh[(F/2)]))+(E^(F/2)) (4-2 (s+(1/2) (1+Cosh[(F/2)]))+4 (((s+(1/2) (1+Cosh[(F/2)])))^2))) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]-4 (((s+(1/2) (1+Cosh[(F/2)])))^2) (-1-(E^F)+(E^(F/2)) (-2+4 (s+(1/2) (1+Cosh[(F/2)])))) ((EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2)) EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+4 (-1+(((s+(1/2) (1+Cosh[(F/2)])))^2)) (π (1-3 (s+(1/2) (1+Cosh[(F/2)]))+(E^F) (1-3 (s+(1/2) (1+Cosh[(F/2)])))+(E^(F/2)) (2-2 (s+(1/2) (1+Cosh[(F/2)]))+4 (((s+(1/2) (1+Cosh[(F/2)])))^2)))-2 (s+(1/2) (1+Cosh[(F/2)])) (-1-(E^F)+(E^(F/2)) (-2+4 (s+(1/2) (1+Cosh[(F/2)])))) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]) ((EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2)))-((E^(-F/2)) (-1+(E^F)) π (π (((s+(1/2) (1+Cosh[(F/2)])))^2) (π (1+2 (E^(F/2))+(E^F)+2 (s+(1/2) (1+Cosh[(F/2)]))+2 (E^F) (s+(1/2) (1+Cosh[(F/2)])))-8 (1+(E^F)) (s+(1/2) (1+Cosh[(F/2)])) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])+4 (s+(1/2) (1+Cosh[(F/2)])) (-(((-1+(E^(F/2))))^2) π+2 (s+(1/2) (1+Cosh[(F/2)])) (-1-2 (E^(F/2))+2 (s+(1/2) (1+Cosh[(F/2)]))+(E^F) (-1+2 (s+(1/2) (1+Cosh[(F/2)])))) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]) EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]-4 (-1+(((s+(1/2) (1+Cosh[(F/2)])))^2)) (-1-2 (E^(F/2))+2 (s+(1/2) (1+Cosh[(F/2)]))+(E^F) (-1+2 (s+(1/2) (1+Cosh[(F/2)])))) ((EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2)) Sinh[(F/2)])/((s^3) ((1+(E^F)) ((π^3) (((s+(1/2) (1+Cosh[(F/2)])))^2) (1+s+(1/2) (1+Cosh[(F/2)]))-4 π (s+(1/2) (1+Cosh[(F/2)])) (π+π (s+(1/2) (1+Cosh[(F/2)]))-6 (((s+(1/2) (1+Cosh[(F/2)])))^2) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]) EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+4 (-1+(((s+(1/2) (1+Cosh[(F/2)])))^2)) (π-3 π (s+(1/2) (1+Cosh[(F/2)]))+2 (s+(1/2) (1+Cosh[(F/2)])) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]) ((EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2))-2 (E^(F/2)) (4 π ((EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2)+2 (((s+(1/2) (1+Cosh[(F/2)])))^4) (π-2 EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]) (π-2 EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]) (π-4 EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+2 EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])+2 Cosh[(F/2)] (((s+(1/2) (1+Cosh[(F/2)])))^3) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))] (3 (π^2)+8 EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))] EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])-4 (s+(1/2) (1+Cosh[(F/2)])) EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))] (-2 EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))] EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+π (π+EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]))+(((s+(1/2) (1+Cosh[(F/2)])))^3) (π-2 EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]) ((π^2)+4 EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))] (-2 EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]))-(((s+(1/2) (1+Cosh[(F/2)])))^2) ((π^3)+4 (π^2) EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+16 EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))] ((EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2)-4 π EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))] (4 EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])))))+(((Sinh[(F/2)])^2)/(2 (s^3)))

VrespFUNZIONA[s_,F_]:=(1/(2 (s^2)))(-(((E^(-F/2)) (-1+(E^F)) π (π (((s+(1/2) (1+Cosh[(F/2)])))^2) (π (1+2 (E^(F/2))+(E^F)+2 (s+(1/2) (1+Cosh[(F/2)]))+2 (E^F) (s+(1/2) (1+Cosh[(F/2)])))-8 (1+(E^F)) (s+(1/2) (1+Cosh[(F/2)])) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])-4 (s+(1/2) (1+Cosh[(F/2)])) ((((-1+(E^(F/2))))^2) π-2 (s+(1/2) (1+Cosh[(F/2)])) (-1-2 (E^(F/2))+2 (s+(1/2) (1+Cosh[(F/2)]))+(E^F) (-1+2 (s+(1/2) (1+Cosh[(F/2)])))) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]) EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]-4 (-1+(((s+(1/2) (1+Cosh[(F/2)])))^2)) (-1-2 (E^(F/2))+2 (s+(1/2) (1+Cosh[(F/2)]))+(E^F) (-1+2 (s+(1/2) (1+Cosh[(F/2)])))) ((EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2)))/((1+(E^F)) ((π^3) (((s+(1/2) (1+Cosh[(F/2)])))^2) (1+s+(1/2) (1+Cosh[(F/2)]))-4 π (s+(1/2) (1+Cosh[(F/2)])) (π+π (s+(1/2) (1+Cosh[(F/2)]))-6 (((s+(1/2) (1+Cosh[(F/2)])))^2) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]) EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+4 (-1+(((s+(1/2) (1+Cosh[(F/2)])))^2)) (π-3 π (s+(1/2) (1+Cosh[(F/2)]))+2 (s+(1/2) (1+Cosh[(F/2)])) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]) ((EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2))-2 (E^(F/2)) (4 π ((EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2)+2 (((s+(1/2) (1+Cosh[(F/2)])))^4) (π-2 EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]) (π-2 EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]) (π-4 EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+2 EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])+2 Cosh[(F/2)] (((s+(1/2) (1+Cosh[(F/2)])))^3) EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))] (3 (π^2)+8 EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))] EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])-4 (s+(1/2) (1+Cosh[(F/2)])) EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))] (-2 EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))] EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+π (π+EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]))+(((s+(1/2) (1+Cosh[(F/2)])))^3) (π-2 EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]) ((π^2)+4 EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))] (-2 EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]))-(((s+(1/2) (1+Cosh[(F/2)])))^2) ((π^3)+4 (π^2) EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+16 EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))] ((EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])^2)-4 π EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))] (4 EllipticE[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))]+EllipticK[(1/(((s+(1/2) (1+Cosh[(F/2)])))^2))])))))+Sinh[(F/2)])

consistency checks

MrespFUNZIONA[s,F]-msdxRespVersionFinal/.ellipticrule/.{ss->s+((1+Cosh[F/2])/2)}//Simplify

VrespFUNZIONA[s,F]-veloxResp/.ellipticrule/.{ss->s+((1+Cosh[F/2])/2)}//Simplify

6) Quasi-periodic model: propagators

Explicit formulas

P[s_,Γ_,L_,q_]:=2s+2Γ-Cos[2π q/L]

gxy[s_,Γ_,L_,x_,y_]:=(2/L)Sum[Exp[2π I q y/L]((((P[s,Γ,L,q]-(Sqrt[(((P[s,Γ,L,q]))^2)-1])))^x)/(Sqrt[(((P[s,Γ,L,q]))^2)-1])),{q,0,L-1}]

Test of relations among propagators

L0=4;

2(s+Γ)gxy[s,Γ,L0,0,0]-(gxy[s,Γ,L0,0,1]+gxy[s,Γ,L0,1,0])//Simplify

4(s+Γ)gxy[s,Γ,L0,0,1]-(2gxy[s,Γ,L0,1,1]+gxy[s,Γ,L0,0,0]+gxy[s,Γ,L0,0,2])//Simplify

4(s+Γ)gxy[s,Γ,L0,1,0]-(2gxy[s,Γ,L0,1,1]+gxy[s,Γ,L0,0,0]+gxy[s,Γ,L0,2,0])//Simplify

Shifted frequency

(* Γ = (1+ Cosh[F/2])/2; *)
(* the shifted frequency is ss = s+ Γ *)

g00confined[ss_,L_]:=gxy[ss,0,L,0,0]

g11confined[ss_,L_]:=gxy[ss,0,L,1,1]

g10confined[ss_,L_]:=gxy[ss,0,L,1,0]

g01confined[ss_,L_]:=gxy[ss,0,L,0,1]

g20confined[ss_,L_]:=gxy[ss,0,L,2,0]

g02confined[ss_,L_]:=gxy[ss,0,L,0,2]

((2+g10confined[ss,L0]+g01confined[ss,L0])/(2(ss)))-g00confined[ss,L0]//FullSimplify

4ss g01confined[ss,L0]-2g11confined[ss,L0]-g00confined[ss,L0]-g02confined[ss,L0]//FullSimplify

4ss g10confined[ss,L0]-2g11confined[ss,L0]-g00confined[ss,L0]-g20confined[ss,L0]//FullSimplify

4ss g10confined[ss,L0]-2g11confined[ss,L0]-((2+g10confined[ss,L0]+g01confined[ss,L0])/(2(ss)))-g20confined[ss,L0]//FullSimplify

4ss g01confined[ss,L0]-2g11confined[ss,L0]-((2+g10confined[ss,L0]+g01confined[ss,L0])/(2(ss)))-g02confined[ss,L0]//FullSimplify

CL[L_]:=-4+(2/L)Sum[((7-8Cos[2π q/L]+Cos[4π q/L])/(Sqrt[(((2-Cos[2π q/L]))^2)-1])),{q,1,L-1}]

Ltest=3;

Series[4-g00confined[s+1,Ltest]+g20confined[s+1,Ltest],{s,0,1}]-(CL[Ltest]+(8/Ltest)(Sqrt[s]))//FullSimplify

7) Quasi-periodic model: velocity response (we obtain (Subscript[V, L])(F,s=0) for Fig. 3 of the long paper & terminal velocity)

Result for the quasi-confined model: (Subscript[V, L])(F,s)

(* d1kxtMatrixElementExpl-vresponseSimple[F,g00,g10,g01,g11,g20,g02]//Simplify *)

vresponseSimple[F_,g00_,g10_,g01_,g11_,g20_,g02_]:=(I (E^(-F/2)) (-1+(E^F)) ((-4+g00-2 g01+g02) g10+2 (g00-g01) g11+(E^(2 F)) ((-4+g00-2 g01+g02) g10+2 (g00-g01) g11)+2 (E^F) ((-4+g02) (4+3 g10)+3 g00 (4+g10+2 g11)-2 g01 (8+3 g10+3 g11))+(E^(F/2)) (-5 (g00^2)+4 g00 g01+4 (g01^2)+4 (g10^2)-8 g10 g11+4 (g11^2)+4 g20+4 g01 g20-g02 g20-3 g00 (-4+g02+g20))+(E^(3 F/2)) (-5 (g00^2)+4 g00 g01+4 (g01^2)+4 (g10^2)-8 g10 g11+4 (g11^2)+4 g20+4 g01 g20-g02 g20-3 g00 (-4+g02+g20))))/((g00^3)+(g00^2) (-4+g02)+g10 (-(-4+g02) g10+4 g01 g11)-g00 (2 (g01^2)+(g10^2)+2 (g11^2))+(E^(2 F)) ((g00^3)+(g00^2) (-4+g02)+g10 (-(-4+g02) g10+4 g01 g11)-g00 (2 (g01^2)+(g10^2)+2 (g11^2)))-2 (E^(F/2)) (-4 (g01^2)-4 (g10^2)+8 g10 g11-4 (g11^2)+(g00^2) (8+g10+2 g11)+4 g10 g20-g02 g10 g20+2 g01 (g10+g11) g20-g00 (16+4 g10-g02 (4+g10)+2 g01 (4+g10+g11)+g10 g20+2 g11 g20))-2 (E^(3 F/2)) (-4 (g01^2)-4 (g10^2)+8 g10 g11-4 (g11^2)+(g00^2) (8+g10+2 g11)+4 g10 g20-g02 g10 g20+2 g01 (g10+g11) g20-g00 (16+4 g10-g02 (4+g10)+2 g01 (4+g10+g11)+g10 g20+2 g11 g20))+(E^F) (-64+3 (g00^3)+16 g02-64 g10+16 g02 g10-8 (g10^2)+2 g02 (g10^2)+(g00^2) (-4-4 g01+g02-2 g20)+4 (g01^2) g20+4 (g10^2) g20-8 g10 g11 g20+4 (g11^2) g20+4 (g20^2)-g02 (g20^2)+g00 (48-2 (g10^2)+32 g11+8 g10 (2+g11)+8 g20-2 g02 g20-3 (g20^2))-4 g01 (16+8 g11+2 g10 (4+g11)-(g20^2))))

We check that we can retrieve the non confined model as a special case

((vresponseSimple[F,g00Expl,g10Expl,g10Expl,g11Expl,g20Expl,g20Expl])/unbounded02)//Simplify

vresponseSimple3=((I )/(Sinh[F/2]/2))vresponseSimple[F,g00,g10,g01,g11,g20,g02]

vresponseSimple4=vresponseSimple3/.{g20->4ss g10-2g11-((2+g10+g01)/(2ss)),g02->4ss g01-2g11-((2+g10+g01)/(2ss)),g00->((2+g10+g01)/(2ss))}//Simplify;

vresponseSimple5[F_,ss_,g10_,g01_,g11_]:=-((8 ss ((2+g10) (2+g11)+g01 (2+g11-2 (2+g10) ss)+(g11 (2+g01+g10-2 g01 ss-2 g10 ss)+2 g10 ss (-2+g01 (-1+2 ss))) Cosh[(F/2)]))/(2 (g11^2) ss (-2+g01 (-1+2 ss)+g10 (-1+2 ss))+g11 (-4+8 ss+(g01^2) (-1+2 ss)-(g10^2) (((1-2 ss))^2) (1+2 ss)+4 g10 (-1+2 ss+4 (ss^2))-2 g01 (-1+2 ss) (-2+g10 (-1+4 (ss^2))))+2 ss (8+8 g10+(g01^2) (g10-2 g10 ss)+(g10^2) (2-8 (ss^2))+g01 (-1+2 ss) (-4-4 g10+(g10^2) (-1+4 (ss^2))))+(-(g01^2) (2+g11-2 (2+g10) ss)-4 (2+g11+(g11^2) ss)-2 g10 (4+2 g11+(g11^2) ss)+(g10^2) (2+g11) (-1+4 (ss^2))-2 g01 ((2+g11) (2+(-2+g11) ss)+(g10^2) ss (-1+4 (ss^2))+g10 (2+g11-4 ss-4 g11 (ss^2)))) Cosh[(F/2)]))

vresponseSimple6[F_,s_,L0_]:=vresponseSimple5[F,s+((1+Cosh[(F/2)])/2),g10confined[s+((1+Cosh[(F/2)])/2),L0],g01confined[s+((1+Cosh[(F/2)])/2),L0],g11confined[s+((1+Cosh[(F/2)])/2),L0]]

functionFL[F_,s_,L_]:=vresponseSimple6[F,s,L]

THE VELOCITY IN LAPLACE DOMAIN IS WRITTEN AS FOLLOWS: v(s)=[v0/s](1+n+n functionFL[F,s]).We expand for small F and retain the linear term; by using v0=F/4 for small F, we find v(s)= F(1+n+n functionFL(F=0,s))/(4s)=FZ(s)/s where Z(s) is the VACF, the latter is Z(s)=(1/4)(1+n+n functionFL[F=0,s]). In the following we test the response part, i.e., the contribution proportional to n:

Ltest2=4;

(1/4)+(1/4)Series[functionFL[0,s,Ltest2],{s,0,1}]//Simplify//FullSimplify

(1/4)-(2/(CL[Ltest2]))//FullSimplify

(16/(Ltest2 ((CL[Ltest2])^2)))//FullSimplify

functionFL[F,s,2]

The function (Subscript[V, L])(F,s=0)

RescaledVresponseL2=Table[{F,Re[functionFL[F,0,2]]},{F,0.001,7,0.01}];

RescaledVresponseL3=Table[{F,Re[functionFL[F,0,3]]},{F,0.001,7,0.01}];

RescaledVresponseL4=Table[{F,Re[functionFL[F,0,4]]},{F,0.001,7,0.01}];

RescaledVresponseL5=Table[{F,Re[functionFL[F,0,5]]},{F,0.001,7,0.01}];

RescaledVresponseL6=Table[{F,Re[functionFL[F,0,6]]},{F,0.001,7,0.01}];

RescaledVresponseLinfinity=Table[{F,Re[functionFinfinity[F,0]]},{F,0.001,7,0.01}];

Plot summary

Show[ListPlot[RescaledVresponseL2,PlotStyle->Blue,PlotLegends->{"L=2"},Frame->True,FrameLabel->{"F","(Subscript[V, L])(F,0)"},PlotRange->{{0,3},{-5,-3}}],ListPlot[RescaledVresponseL3,PlotStyle->Purple,PlotLegends->{"L=3"}],ListPlot[RescaledVresponseL4,PlotStyle->Red,PlotLegends->{"L=4"}],ListPlot[RescaledVresponseL5,PlotStyle->Orange,PlotLegends->{"L=5"}],ListPlot[RescaledVresponseL6,PlotStyle->Green,PlotLegends->{"L=6"}],Plot[functionFinfinity[F,0],{F,0,6},PlotStyle->Black,PlotLegends->{"L=∞ (unbounded model)"}]]
Export["vel_response_theory.pdf",%];

Behavior at s=0

Series[((((Sinh[F/2])/2)functionFL[F,s,2])/F),{F,0,1},Assumptions->{s>0}];

Series[(s (4-2 (Sqrt[s (1+s)])-(Sqrt[(s^5) (1+s)])+(Sqrt[s (2+s)])+(Sqrt[(s^3) (2+s)])-2 (Sqrt[(1+s) (2+s)])+s (10-3 (Sqrt[s (1+s)])-3 (Sqrt[(1+s) (2+s)])+s (8+2 s-(Sqrt[(1+s) (2+s)])))))/(2 (1+s) (Sqrt[s (2+s)]) (-6 (Sqrt[s (1+s)])-4 (Sqrt[(s^5) (1+s)])+4 (Sqrt[s (2+s)])+6 (Sqrt[(s^5) (2+s)])+s (5-12 (Sqrt[s (1+s)])+10 (Sqrt[s (2+s)])-4 (Sqrt[(1+s) (2+s)])+2 s (4+s-2 (Sqrt[(1+s) (2+s)]))))),{s,0,1}]

(1/2) (3+2 (Sqrt[2])) (Sqrt[s])/(16/(2(((4(Sqrt[2])-2))^2)))

(1/4)(-((4 (-3+2 (Sqrt[2])) (Sqrt[1]))/(((-4+3 (Sqrt[2])))^2)))//N

(1/4)((2 (-2+(Sqrt[2])))/(-4+3 (Sqrt[2])))//N

-(2/((4(Sqrt[2])-2)))//N

Approach to -π for s=0 and

Show[ListLogLogPlot[Table[{L,-π-Re[functionFL[0.01,0,L]]},{L,2,200}]]]

Velocity: initial and final

v0[F_]:=((Sinh[F/2])/2)

vinitial[F_,n_,L_]:=(1-n)v0[F]

vfinal[F_,n_,L_]:=(1+n)v0[F]+n v0[F]functionFL[F,0,L]

functionFL[F,0,2];

vfinal[F,n,2];

velocitytime[t_,F_,n_,L_]:=vfinal[F,n,L]+n v0[F]NIntegrate[(2/π)Re[((functionFL[F,I ω,L]-functionFL[F,0,L])/(I ω))]Cos[ω t],{ω,0,100}]

normalizedterminalvelocity[t_,F_,n_,L_]:=((n v0[F])/(vinitial[F,n,L]-vfinal[F,n,L]))NIntegrate[(2/π)Re[((functionFL[F,I ω,L]-functionFL[F,0,L])/(I ω))]Cos[ω t],{ω,0,500}]

PlotS1=Show[Plot[Re[vfinal[F,5*(10^(-3)),100]],{F,0,6},Frame->True,FrameLabel->{"F","v(t→∞)"},PlotStyle->Black,PlotLegends->{"n=0"}],Plot[{vfinal[F,0.01,2],vfinal[F,0.025,2],vfinal[F,0.050,2],vfinal[F,0.075,2]},{F,0,6},Frame->True,FrameLabel->{"F","v(t→∞)"},PlotStyle->{{Dashed,Red},{Dashed,Blue},{Dashed,Purple},{Dashed,Green}},PlotLegends->{"n=0.01, L=2", "n=0.025, L=2","n=0.050, L=2","n=0.075, L=2"}]]

Analysis of the terminal velocity and its L-dependence

Equation (13) of PRL 2013 gives the terminal velocity in the linear response regime, therefore: v(t→∞)=DF+corrections. Here we write the full analytical result and then we expand it for small forces, so we derive the corrections beyond linear response regime. It is convenient to write the terminal velocity as
v(t→∞) = (Subscript[v, 0]) + n (Subscript[v, 0]) + n (Subscript[v, 0]) (Subscript[F, L])(F,s=0)

PRL2013Equation13CONFINED[F_,L_,n_]:=v0[F]+n v0[F]+n v0[F]vresponseSimple6[F,0,L]
PRL2013Equation13[F_,n_]:=v0[F]+n v0[F]+n v0[F]functionFinfinity[F,0]

Normal[Series[PRL2013Equation13[F,n],{F,0,3},Assumptions->{F>0}]]

Show[Plot[{PRL2013Equation13[F,20],PRL2013Equation13[F,2],PRL2013Equation13[F,3],PRL2013Equation13[F,4]},{F,0,4},Frame->True,FrameLabel->{"F","vK"},PlotLegends->{"L=∞ (full result)","L=2 (full result)","L=3 (full result)","L=4 (full result)"},PlotStyle->{{Normal,Black},{Normal,Orange},{Normal,Red},{Normal,Purple}},PlotRange->{{0,0.2},{-0.25,0}}],Plot[{-(π/4) F,-(1/2) (1+(Sqrt[2])) F,-(1/8) (3+(Sqrt[21])) F,-(1/23) (-2+5 (Sqrt[2])+3 (Sqrt[3])+4 (Sqrt[6])) F},{F,0,4},Frame->True,FrameLabel->{"F","vK"},PlotLegends->{"L=∞ (linear response)","L=2 (linear response)","L=3 (linear response)","L=4 (linear response)"},PlotStyle->{{Dotted,Black},{Dotted,Orange},{Dotted,Red},{Dotted,Purple}},PlotRange->{{0,0.2},{-0.25,0}}]]
Export["linearresponseconfinedmodel.pdf",%];

coefficientlinearresponsevelocity[L_]:=Normal[Series[-((PRL2013Equation13CONFINED[F,L,1]-(F/4))/( F)),{F,0,0},Assumptions->{F>0}]]

coefficientlinearresponsevelocityAPPROXIMATED[L_]:=Re[N[-((PRL2013Equation13CONFINED[(10^(-4)),L,1])/( (10^(-4))))+(1/4)]]

(4/(π (L^2)))

Table[Floor[(1.15^n)],{n,1,28}]

CoeffTable=Table[{Floor[(1.15^n)],coefficientlinearresponsevelocityAPPROXIMATED[Floor[(1.15^n)]]-((π-1)/4)},{n,1,28}];

Show[LogLogPlot[(4/(π (L^2))),{L,2,40},PlotStyle->Red,Frame->True,FrameLabel->{"L","coeff-((π - 1)/4)"}],ListLogLogPlot[CoeffTable,PlotStyle->Black]]

(* PYXPLOT *)

expcoeff=ExportString[Partition[Flatten[CoeffTable],2],"Table","FieldSeparators"->" ",Alignment->Left];
Export["coeff.txt",expcoeff,"Table" ];

8) Quasi-periodic model: VACF

VACF

excessVACFinfinity[s_]:=-(functionFinfinity[0,s]+2)

excessVACFconfined[s_,L_]:=-(functionFL[0,s,L]+2)

LogLogPlot[{excessVACFinfinity[s],excessVACFconfined[s,2],excessVACFconfined[s,3]},{s,(10^(-3)),(10^3)},PlotRange->{{(10^(-3)),800},{(10^(-3)),5}},Frame->True,FrameLabel->{"s","-(VACF+2)"},PlotLegends->{"non confined", "L=2", "L=3"}]

EqVACF[s_,L_]:=(1/4)+(1/4)functionFL[0,s,L]
EqVACFinfinity[s_]:=(1/4)+(1/4)functionFinfinity[0,s]

Show[Plot[EqVACFinfinity[s],{s,0,1},PlotRange->{{0,1},{-0.6,-0.2}}],ListPlot[Table[{s,Re[EqVACF[s,2]]},{s,0.001,1,0.025}],PlotStyle->Red,PlotRange->{{0,10},{-1,0}}]]

(*   Ltest3=3;
Series[(1/4)+(1/4)functionFL[0,s,Ltest3],{s,0,1}]-((1/4)-(2/(CL[Ltest3]))+((16(Sqrt[s]))/(Ltest3 (((CL[Ltest3]))^2))))//Simplify   *)

9) Quasi-periodic model: MSD response and consistency checks

MSD response for the quasi-periodic model in terms of the abstract propagators (g00, g10, g01, ...)

THis is the MSD response for the quasi-periodic model obtained in Sec. 4:

(* msdxResp-msdxRespSimple[s,F,g00,g10,g01,g11,g20,g02]//Simplify *)

msdxRespSimple[s_,F_,g00_,g10_,g01_,g11_,g20_,g02_]:=((Cosh[(F/2)])/(2 (s^2)))-(2 (E^F) (-6 g01 (2+g01+g10)+(-4-4 g01+g02) g20+g00 (4+4 g01+2 g02+6 g11+3 g20)+((-4+g02) (8+5 g10)-2 g01 (16+5 g10+5 g11)+g00 (24+5 g10+10 g11)) Cosh[(F/2)]+(-6 (g01^2)-14 g01 (2+g10)+8 (((g10-g11))^2)+2 g00 (10+2 g01+g02+7 g11)-3 (-4+3 g00-4 g01+g02) g20) Cosh[F]+3 ((-4+g00-2 g01+g02) g10+2 (g00-g01) g11) Cosh[((3 F)/2)]))/((4 g00 g02+4 (g10^2)-g00 (g10^2)-g02 (g10^2)+2 g00 g01 (2+g10)+8 g00 g11+2 g00 g02 g11+2 g00 (g11^2)-4 (g01^2) (2+g11)-8 g01 (2+g10+g11)+(E^(2 F)) (-g00 (g10^2)-(-4+g02) (g10^2)+2 g00 g01 (2+g10)-4 (g01^2) (2+g11)+2 g00 g02 (2+g11)+2 g00 g11 (4+g11)-8 g01 (2+g10+g11))+2 (E^(F/2)) (4 (g10^2)-8 g10 g11+4 (g11^2)-2 (g01^2) (6+g10+2 g11)-4 g10 g20+g02 g10 g20+g00 (16+2 g10 g11+4 (g11^2)+2 g02 (2+g11)+2 g01 (4+g10+g11)+g10 (4+g20)+2 g11 (8+g20))-2 g01 (16+(g10^2)+g11 (4+g20)+g10 (10+2 g11+g20)))+2 (E^(3 F/2)) (4 (g10^2)-8 g10 g11+4 (g11^2)-2 (g01^2) (6+g10+2 g11)-4 g10 g20+g02 g10 g20+g00 (16+2 g10 g11+4 (g11^2)+2 g02 (2+g11)+2 g01 (4+g10+g11)+g10 (4+g20)+2 g11 (8+g20))-2 g01 (16+(g10^2)+g11 (4+g20)+g10 (10+2 g11+g20)))+(E^F) (-64-8 (g01^3)-64 g10+16 g02 g10+2 g02 (g10^2)-4 (g01^2) (6+g02+2 g10+3 g11)+4 (g10^2) (-2+g20)-8 g10 g11 g20+4 (g11^2) g20+4 (g20^2)-g02 (-16+(g20^2))+g00 (48+6 (g01^2)+2 (g02^2)+16 g10-2 (g10^2)+8 g10 g11+12 (g11^2)+2 g01 (6+2 g02+3 g10+4 g11)+2 g02 (2+5 g11)+8 g20-3 (g20^2)+4 g11 (10+g20))-4 g01 (20+g02 (2+g10)+14 g11+2 g20-(g20^2)+g10 (10+5 g11+g20)))) (s^2))+(1/(s^3))2 I (-I (-(((E^(-F/2)) (-(1/4) (E^(F/2)) g00+(1/8) (E^(F/2)) (g00^2)+(((E^F) (g00^2))/16)-(1/64) (E^(F/2)) (g00^3)-(((E^F) (g00^3))/32)+(((E^F) (g00^4))/256)-(1/8) (E^(F/2)) (g01^2)+(1/32) (E^(F/2)) g00 (g01^2)+(1/32) (E^F) g00 (g01^2)-(1/128) (E^F) (g00^2) (g01^2)-(1/32) (E^(F/2)) (g01^2) g02+(1/128) (E^F) g00 (g01^2) g02+(1/64) (E^(F/2)) g00 (g02^2)-(1/256) (E^F) (g00^2) (g02^2)+(g10/4)-((g00 g10)/8)-(1/16) (E^(F/2)) g00 g10+(((g00^2) g10)/64)+(1/32) (E^(F/2)) (g00^2) g10-(1/256) (E^(F/2)) (g00^3) g10+((g01 g10)/8)-((g00 g01 g10)/32)-(1/32) (E^(F/2)) g00 g01 g10+(1/128) (E^(F/2)) (g00^2) g01 g10+((g01 g02 g10)/32)-(1/128) (E^(F/2)) g00 g01 g02 g10-(((g02^2) g10)/64)+(1/256) (E^(F/2)) g00 (g02^2) g10+((g10^2)/16)-(((E^F) (g10^2))/16)-((g00 (g10^2))/32)+(1/32) (E^F) g00 (g10^2)+(((g00^2) (g10^2))/256)-(1/256) (E^F) (g00^2) (g10^2)-(((g02^2) (g10^2))/256)+(1/256) (E^F) (g02^2) (g10^2)-((g00 g11)/8)+(((g00^2) g11)/32)+(1/32) (E^(F/2)) (g00^2) g11-(1/128) (E^(F/2)) (g00^3) g11+((g01 g11)/8)-((g00 g01 g11)/32)-(1/32) (E^(F/2)) g00 g01 g11+(1/128) (E^(F/2)) (g00^2) g01 g11-((g00 g02 g11)/32)+(1/128) (E^(F/2)) (g00^2) g02 g11+((g01 g02 g11)/32)-(1/128) (E^(F/2)) g00 g01 g02 g11+((g01 g10 g11)/16)-(1/16) (E^F) g01 g10 g11-(1/64) g00 g01 g10 g11+(1/64) (E^F) g00 g01 g10 g11+(1/64) g01 g02 g10 g11-(1/64) (E^F) g01 g02 g10 g11-((g00 (g11^2))/32)+(1/32) (E^F) g00 (g11^2)+(((g00^2) (g11^2))/128)-(1/128) (E^F) (g00^2) (g11^2)-(1/128) g00 g02 (g11^2)+(1/128) (E^F) g00 g02 (g11^2)-((g00 g20)/16)+(((g00^2) g20)/32)-(((g00^3) g20)/256)-(((g01^2) g20)/32)+(1/128) g00 (g01^2) g20-(1/128) (g01^2) g02 g20+(1/256) g00 (g02^2) g20+(1/16) (E^(F/2)) g10 g20-(1/32) (E^(F/2)) g00 g10 g20+(1/256) (E^(F/2)) (g00^2) g10 g20+(1/32) (E^(F/2)) g01 g10 g20-(1/128) (E^(F/2)) g00 g01 g10 g20+(1/128) (E^(F/2)) g01 g02 g10 g20-(1/256) (E^(F/2)) (g02^2) g10 g20-(1/32) (E^(F/2)) g00 g11 g20+(1/128) (E^(F/2)) (g00^2) g11 g20+(1/32) (E^(F/2)) g01 g11 g20-(1/128) (E^(F/2)) g00 g01 g11 g20-(1/128) (E^(F/2)) g00 g02 g11 g20+(1/128) (E^(F/2)) g01 g02 g11 g20))/(4 (-(1/4) (E^(-F/2)) (g10-g11) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g01-g02) ((1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 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(2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) (g01-g02) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) (g00-g01) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))))/(4 (-(1/4) (E^(-F/2)) (g10-g11) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) 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g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g01-g02) ((1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) 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(-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 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g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) 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Cosh[(F/2)]))))))-I (-((-(1/4) (E^(F/2)) g00+(1/8) (E^(F/2)) (g00^2)+(((E^F) (g00^2))/16)-(1/64) (E^(F/2)) (g00^3)-(((E^F) (g00^3))/32)+(((E^F) (g00^4))/256)-(1/8) (E^(F/2)) (g01^2)+(1/32) (E^(F/2)) g00 (g01^2)+(1/32) (E^F) g00 (g01^2)-(1/128) (E^F) (g00^2) (g01^2)-(1/32) (E^(F/2)) (g01^2) g02+(1/128) (E^F) g00 (g01^2) g02+(1/64) (E^(F/2)) g00 (g02^2)-(1/256) (E^F) (g00^2) (g02^2)+(g10/4)-((g00 g10)/8)-(1/16) (E^(F/2)) g00 g10+(((g00^2) g10)/64)+(1/32) (E^(F/2)) (g00^2) g10-(1/256) (E^(F/2)) (g00^3) g10+((g01 g10)/8)-((g00 g01 g10)/32)-(1/32) (E^(F/2)) g00 g01 g10+(1/128) (E^(F/2)) (g00^2) g01 g10+((g01 g02 g10)/32)-(1/128) (E^(F/2)) g00 g01 g02 g10-(((g02^2) g10)/64)+(1/256) (E^(F/2)) g00 (g02^2) g10+((g10^2)/16)-(((E^F) (g10^2))/16)-((g00 (g10^2))/32)+(1/32) (E^F) g00 (g10^2)+(((g00^2) (g10^2))/256)-(1/256) (E^F) (g00^2) (g10^2)-(((g02^2) (g10^2))/256)+(1/256) (E^F) (g02^2) (g10^2)-((g00 g11)/8)+(((g00^2) g11)/32)+(1/32) (E^(F/2)) (g00^2) g11-(1/128) (E^(F/2)) (g00^3) g11+((g01 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(E^(F/2)) g00 g02 g11 g20+(1/128) (E^(F/2)) g01 g02 g11 g20)/(4 (-(1/4) (E^(-F/2)) (g10-g11) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) 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Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])-(1/4) (4-(E^(-F/2)) g00+g10) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (4-g00+g01) (-(1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])+(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))-(1/4) (E^(F/2)) (g10-g11) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g00-g01) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))))))+(-(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))/(4 (-(1/4) (E^(-F/2)) (g10-g11) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g01-g02) ((1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])-(1/4) (4-(E^(-F/2)) g00+g10) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (4-g00+g01) (-(1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])+(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))-(1/4) (E^(F/2)) (g10-g11) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) 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(E^(-F)) g00 g02 (g11^2)-((g00 g20)/16)+(((g00^2) g20)/32)-(((g00^3) g20)/256)-(((g01^2) g20)/32)+(1/128) g00 (g01^2) g20-(1/128) (g01^2) g02 g20+(1/256) g00 (g02^2) g20+(1/16) (E^(-F/2)) g10 g20-(1/32) (E^(-F/2)) g00 g10 g20+(1/256) (E^(-F/2)) (g00^2) g10 g20+(1/32) (E^(-F/2)) g01 g10 g20-(1/128) (E^(-F/2)) g00 g01 g10 g20+(1/128) (E^(-F/2)) g01 g02 g10 g20-(1/256) (E^(-F/2)) (g02^2) g10 g20-(1/32) (E^(-F/2)) g00 g11 g20+(1/128) (E^(-F/2)) (g00^2) g11 g20+(1/32) (E^(-F/2)) g01 g11 g20-(1/128) (E^(-F/2)) g00 g01 g11 g20-(1/128) (E^(-F/2)) g00 g02 g11 g20+(1/128) (E^(-F/2)) g01 g02 g11 g20))/(4 (-(1/4) (E^(-F/2)) (g10-g11) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g01-g02) ((1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])-(1/4) (4-(E^(-F/2)) g00+g10) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (4-g00+g01) (-(1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 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g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))))/(4 (-(1/4) (E^(-F/2)) (g10-g11) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) 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Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])+(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))-(1/4) (E^(F/2)) (g10-g11) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g00-g01) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 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(g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))))))+I (-(((E^(-F/2)) (-(1/4) (E^(-F/2)) g00+(1/16) (E^(-F)) (g00^2)+(1/8) (E^(-F/2)) (g00^2)-(1/32) (E^(-F)) (g00^3)-(1/64) (E^(-F/2)) (g00^3)+(1/256) (E^(-F)) (g00^4)-(1/8) (E^(-F/2)) (g01^2)+(1/32) (E^(-F)) g00 (g01^2)+(1/32) (E^(-F/2)) g00 (g01^2)-(1/128) (E^(-F)) (g00^2) (g01^2)-(1/32) (E^(-F/2)) (g01^2) g02+(1/128) (E^(-F)) g00 (g01^2) g02+(1/64) (E^(-F/2)) g00 (g02^2)-(1/256) (E^(-F)) (g00^2) (g02^2)+(g10/4)-((g00 g10)/8)-(1/16) (E^(-F/2)) g00 g10+(((g00^2) g10)/64)+(1/32) (E^(-F/2)) (g00^2) g10-(1/256) (E^(-F/2)) (g00^3) g10+((g01 g10)/8)-((g00 g01 g10)/32)-(1/32) (E^(-F/2)) g00 g01 g10+(1/128) (E^(-F/2)) (g00^2) g01 g10+((g01 g02 g10)/32)-(1/128) (E^(-F/2)) g00 g01 g02 g10-(((g02^2) g10)/64)+(1/256) (E^(-F/2)) g00 (g02^2) g10+((g10^2)/16)-(1/16) (E^(-F)) (g10^2)-((g00 (g10^2))/32)+(1/32) (E^(-F)) g00 (g10^2)+(((g00^2) (g10^2))/256)-(1/256) (E^(-F)) (g00^2) (g10^2)-(((g02^2) (g10^2))/256)+(1/256) (E^(-F)) (g02^2) 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g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])-(1/4) (4-(E^(-F/2)) g00+g10) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 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(4-(E^(-F/2)) g00+g10) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))-(1/4) (E^(F/2)) (g10-g11) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) 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(g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))))))-((E^(-F/2)) (-(1/4) (E^(F/2)) g00+(1/8) (E^(F/2)) (g00^2)+(((E^F) (g00^2))/16)-(1/64) (E^(F/2)) 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Cosh[(F/2)])-(1/4) (4-(E^(-F/2)) g00+g10) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (4-g00+g01) (-(1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 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(2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 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(g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])-(1/4) (4-(E^(-F/2)) g00+g10) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 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g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (4-g00+g01) (-(1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])+(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 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(2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 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(E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 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(2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 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(E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))))+((E^(-F/2)) ((1/16) (E^(-F/2)) (g00^2)-((g00^3)/64)-(1/64) (E^(-F/2)) (g00^3)+((g00^4)/256)-(1/16) (E^(-F/2)) g00 g01+(((g00^2) g01)/64)+(1/64) (E^(-F/2)) (g00^2) g01-(((g00^3) g01)/256)+(1/64) (E^(-F/2)) (g00^2) g02-(((g00^3) g02)/256)-(1/64) (E^(-F/2)) g00 g01 g02+(1/256) (g00^2) g01 g02-(1/4) (E^(-F/2)) g10-(1/16) (E^(-F)) g00 g10+(1/16) (E^(-F/2)) g00 g10+(1/64) (E^(-F)) (g00^2) g10+(1/64) (E^(-F/2)) (g00^2) g10+(1/64) (E^(F/2)) (g00^2) g10-(1/256) (E^(-F/2)) (g00^3) g10-(1/256) (E^(F/2)) (g00^3) g10+((g01 g10)/16)+(1/16) (E^(-F)) g01 g10-((g00 g01 g10)/64)-(1/64) (E^(-F)) g00 g01 g10-(1/64) (E^(-F/2)) g00 g01 g10-(1/64) (E^(F/2)) g00 g01 g10+(1/256) (E^(-F/2)) (g00^2) g01 g10+(1/256) (E^(F/2)) (g00^2) g01 g10-(1/16) (E^(-F/2)) g02 g10-(1/64) (E^(-F)) g00 g02 g10+(1/256) (E^(-F/2)) (g00^2) g02 g10+(1/256) (E^(F/2)) (g00^2) g02 g10+((g01 g02 g10)/64)+(1/64) (E^(-F)) g01 g02 g10-(1/256) (E^(-F/2)) g00 g01 g02 g10-(1/256) (E^(F/2)) g00 g01 g02 g10-(1/8) (E^(-F/2)) (g10^2)+((g00 (g10^2))/32)+(1/32) (E^(-F/2)) g00 (g10^2)-(((g00^2) (g10^2))/128)-(1/32) (E^(-F/2)) g02 (g10^2)+(1/128) g00 g02 (g10^2)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-(1/16) (E^(-F/2)) g00 g11+(((g00^2) g11)/64)+(1/16) (E^(-F/2)) g02 g11-((g00 g02 g11)/64)+(1/8) (E^(-F/2)) g10 g11-((g00 g10 g11)/32)-(1/32) (E^(-F/2)) g00 g10 g11+(1/128) (g00^2) g10 g11+(1/32) (E^(-F/2)) g02 g10 g11-(1/128) g00 g02 g10 g11+(1/16) (E^(-F/2)) g00 g20-(1/64) (E^(-F/2)) (g00^2) g20-(1/16) (E^(-F/2)) g01 g20+(1/64) (E^(-F/2)) g00 g01 g20+(1/64) (E^(-F/2)) g00 g02 g20-(1/64) (E^(-F/2)) g01 g02 g20-((g10 g20)/16)+((g00 g10 g20)/64)-(1/64) (E^(-F/2)) g00 g10 g20-(1/64) (E^(F/2)) g00 g10 g20+(1/256) (E^(-F/2)) (g00^2) g10 g20+(1/256) (E^(F/2)) (g00^2) g10 g20+(1/64) (E^(-F/2)) g01 g10 g20+(1/64) (E^(F/2)) g01 g10 g20-(1/256) (E^(-F/2)) g00 g01 g10 g20-(1/256) (E^(F/2)) g00 g01 g10 g20-((g02 g10 g20)/64)-(1/256) (E^(-F/2)) g00 g02 g10 g20-(1/256) (E^(F/2)) g00 g02 g10 g20+(1/256) (E^(-F/2)) g01 g02 g10 g20+(1/256) (E^(F/2)) g01 g02 g10 g20-(((g10^2) g20)/32)+(1/128) g00 (g10^2) g20-(1/128) g02 (g10^2) g20+((g11 g20)/16)-((g00 g11 g20)/64)+((g02 g11 g20)/64)+((g10 g11 g20)/32)-(1/128) g00 g10 g11 g20+(1/128) g02 g10 g11 g20+((g00 (g20^2))/64)-(((g00^2) (g20^2))/256)-((g01 (g20^2))/64)+(1/256) g00 g01 (g20^2)+(1/256) g00 g02 (g20^2)-(1/256) g01 g02 (g20^2)+(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]-(1/32) (g00^2) g10 Cosh[(F/2)]-(1/32) (E^(-F/2)) (g00^2) g10 Cosh[(F/2)]+(1/128) (g00^3) g10 Cosh[(F/2)]+(1/32) (E^(-F/2)) g00 g02 g10 Cosh[(F/2)]-(1/128) (g00^2) g02 g10 Cosh[(F/2)]-(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]+(1/32) (g00^2) g11 Cosh[(F/2)]+(1/32) (E^(-F/2)) (g00^2) g11 Cosh[(F/2)]-(1/128) (g00^3) g11 Cosh[(F/2)]-(1/32) (E^(-F/2)) g00 g02 g11 Cosh[(F/2)]+(1/128) (g00^2) g02 g11 Cosh[(F/2)]+(1/32) g00 g10 g20 Cosh[(F/2)]-(1/128) (g00^2) g10 g20 Cosh[(F/2)]+(1/128) g00 g02 g10 g20 Cosh[(F/2)]-(1/32) g00 g11 g20 Cosh[(F/2)]+(1/128) (g00^2) g11 g20 Cosh[(F/2)]-(1/128) g00 g02 g11 g20 Cosh[(F/2)]))/(2 (-(1/4) (E^(-F/2)) (g10-g11) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) 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g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))))+((E^(-F/2)) (-(1/4) (E^(-F/2)) g00+((g00^2)/16)+(1/8) (E^(-F/2)) (g00^2)-((g00^3)/32)-(1/64) (E^(-F/2)) (g00^3)+((g00^4)/256)-(1/8) (E^(-F/2)) g00 g01+(((g00^2) g01)/32)+(1/32) (E^(-F/2)) (g00^2) g01-(((g00^3) g01)/128)-(1/32) (E^(-F/2)) g00 g01 g02+(1/128) (g00^2) g01 g02+(1/64) (E^(-F/2)) g00 (g02^2)-(((g00^2) (g02^2))/256)+(g10/4)+(((E^(-F)) g10)/4)+(1/2) (E^(-F/2)) g10-((g00 g10)/4)-(1/8) (E^(-F)) g00 g10-(3/16) (E^(-F/2)) g00 g10-(1/16) (E^(F/2)) g00 g10+((3 (g00^2) g10)/64)+(1/64) (E^(-F)) (g00^2) g10+(1/32) (E^(-F/2)) (g00^2) g10+(1/32) (E^(F/2)) (g00^2) g10-(1/256) (E^(-F/2)) (g00^3) g10-(1/256) (E^(F/2)) (g00^3) g10+((g01 g10)/8)+(1/8) (E^(-F)) g01 g10-((g00 g01 g10)/32)-(1/32) (E^(-F)) g00 g01 g10-(1/32) (E^(-F/2)) g00 g01 g10-(1/32) (E^(F/2)) g00 g01 g10+(1/128) (E^(-F/2)) (g00^2) g01 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g10 g20)/32)-(1/32) (E^(-F/2)) g00 g10 g20-(1/32) (E^(F/2)) g00 g10 g20+(1/256) (E^(-F/2)) (g00^2) g10 g20+(1/256) (E^(F/2)) (g00^2) g10 g20+(1/32) (E^(-F/2)) g01 g10 g20+(1/32) (E^(F/2)) g01 g10 g20-(1/128) (E^(-F/2)) g00 g01 g10 g20-(1/128) (E^(F/2)) g00 g01 g10 g20+((g02 g10 g20)/32)+(1/128) (E^(-F/2)) g01 g02 g10 g20+(1/128) (E^(F/2)) g01 g02 g10 g20-(1/256) (E^(-F/2)) (g02^2) g10 g20-(1/256) (E^(F/2)) (g02^2) g10 g20-((g11 g20)/8)+((g00 g11 g20)/32)-((g02 g11 g20)/32)+((g10 g11 g20)/16)-(1/64) g00 g10 g11 g20+(1/64) g02 g10 g11 g20-(((g11^2) g20)/16)+(1/64) g00 (g11^2) g20-(1/64) g02 (g11^2) g20-((g20^2)/16)+((g00 (g20^2))/32)-(((g00^2) (g20^2))/256)-((g01 (g20^2))/32)+(1/128) g00 g01 (g20^2)-(1/128) g01 g02 (g20^2)+(((g02^2) (g20^2))/256)-(1/4) (E^(-F/2)) g01 g10 Cosh[(F/2)]+(1/16) g00 g01 g10 Cosh[(F/2)]+(1/16) (E^(-F/2)) g00 g01 g10 Cosh[(F/2)]-(1/64) (g00^2) g01 g10 Cosh[(F/2)]-(1/16) (E^(-F/2)) g01 g02 g10 Cosh[(F/2)]+(1/64) g00 g01 g02 g10 Cosh[(F/2)]+(1/4) (E^(-F/2)) g01 g11 Cosh[(F/2)]-(1/16) g00 g01 g11 Cosh[(F/2)]-(1/16) (E^(-F/2)) g00 g01 g11 Cosh[(F/2)]+(1/64) (g00^2) g01 g11 Cosh[(F/2)]+(1/16) (E^(-F/2)) g01 g02 g11 Cosh[(F/2)]-(1/64) g00 g01 g02 g11 Cosh[(F/2)]-(1/16) g01 g10 g20 Cosh[(F/2)]+(1/64) g00 g01 g10 g20 Cosh[(F/2)]-(1/64) g01 g02 g10 g20 Cosh[(F/2)]+(1/16) g01 g11 g20 Cosh[(F/2)]-(1/64) g00 g01 g11 g20 Cosh[(F/2)]+(1/64) g01 g02 g11 g20 Cosh[(F/2)]))/(4 (-(1/4) (E^(-F/2)) (g10-g11) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g01-g02) ((1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])-(1/4) (4-(E^(-F/2)) g00+g10) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (4-g00+g01) (-(1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])+(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))-(1/4) (E^(F/2)) (g10-g11) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 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g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 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((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))))+((E^(-F/2)) ((1/4) (E^(F/2)) (g10-g11) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) (4-g00+g01) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) (g01-g02) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) (g00-g01) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))))/(4 (-(1/4) (E^(-F/2)) (g10-g11) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g01-g02) ((1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])-(1/4) (4-(E^(-F/2)) g00+g10) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 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(4-(E^(-F/2)) g00+g10) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))-(1/4) (E^(F/2)) (g10-g11) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) 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(g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))))+((E^(-F/2)) (-(1/4) (E^(-F/2)) (g10-g11) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) 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g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))-(1/4) (E^(F/2)) (g10-g11) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) 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(E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g00-g01) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))))))+I (-((-(1/4) (E^(-F/2)) g00+(1/16) (E^(-F)) (g00^2)+(1/8) (E^(-F/2)) (g00^2)-(1/32) (E^(-F)) (g00^3)-(1/64) (E^(-F/2)) (g00^3)+(1/256) (E^(-F)) (g00^4)-(1/8) (E^(-F/2)) (g01^2)+(1/32) (E^(-F)) g00 (g01^2)+(1/32) (E^(-F/2)) g00 (g01^2)-(1/128) (E^(-F)) (g00^2) (g01^2)-(1/32) (E^(-F/2)) (g01^2) g02+(1/128) 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(E^(-F)) g00 g01 g10 g11+(1/64) g01 g02 g10 g11-(1/64) (E^(-F)) g01 g02 g10 g11-((g00 (g11^2))/32)+(1/32) (E^(-F)) g00 (g11^2)+(((g00^2) (g11^2))/128)-(1/128) (E^(-F)) (g00^2) (g11^2)-(1/128) g00 g02 (g11^2)+(1/128) (E^(-F)) g00 g02 (g11^2)-((g00 g20)/16)+(((g00^2) g20)/32)-(((g00^3) g20)/256)-(((g01^2) g20)/32)+(1/128) g00 (g01^2) g20-(1/128) (g01^2) g02 g20+(1/256) g00 (g02^2) g20+(1/16) (E^(-F/2)) g10 g20-(1/32) (E^(-F/2)) g00 g10 g20+(1/256) (E^(-F/2)) (g00^2) g10 g20+(1/32) (E^(-F/2)) g01 g10 g20-(1/128) (E^(-F/2)) g00 g01 g10 g20+(1/128) (E^(-F/2)) g01 g02 g10 g20-(1/256) (E^(-F/2)) (g02^2) g10 g20-(1/32) (E^(-F/2)) g00 g11 g20+(1/128) (E^(-F/2)) (g00^2) g11 g20+(1/32) (E^(-F/2)) g01 g11 g20-(1/128) (E^(-F/2)) g00 g01 g11 g20-(1/128) (E^(-F/2)) g00 g02 g11 g20+(1/128) (E^(-F/2)) g01 g02 g11 g20)/(4 (-(1/4) (E^(-F/2)) (g10-g11) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 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(g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])-(1/4) (4-(E^(-F/2)) g00+g10) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (4-g00+g01) (-(1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])+(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 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(2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g00-g01) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))))))+((1/4) (4-(E^(-F/2)) g00+g10) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))/(4 (-(1/4) (E^(-F/2)) (g10-g11) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g01-g02) ((1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])-(1/4) (4-(E^(-F/2)) g00+g10) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (4-g00+g01) (-(1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])+(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))-(1/4) (E^(F/2)) (g10-g11) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g00-g01) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))))))-I (-((-(1/4) (E^(F/2)) g00+(1/8) (E^(F/2)) (g00^2)+(((E^F) (g00^2))/16)-(1/64) (E^(F/2)) (g00^3)-(((E^F) (g00^3))/32)+(((E^F) (g00^4))/256)-(1/8) (E^(F/2)) (g01^2)+(1/32) (E^(F/2)) g00 (g01^2)+(1/32) (E^F) g00 (g01^2)-(1/128) (E^F) (g00^2) (g01^2)-(1/32) (E^(F/2)) (g01^2) g02+(1/128) (E^F) g00 (g01^2) g02+(1/64) (E^(F/2)) g00 (g02^2)-(1/256) (E^F) (g00^2) (g02^2)+(g10/4)-((g00 g10)/8)-(1/16) (E^(F/2)) g00 g10+(((g00^2) g10)/64)+(1/32) (E^(F/2)) (g00^2) g10-(1/256) (E^(F/2)) (g00^3) g10+((g01 g10)/8)-((g00 g01 g10)/32)-(1/32) (E^(F/2)) g00 g01 g10+(1/128) (E^(F/2)) (g00^2) g01 g10+((g01 g02 g10)/32)-(1/128) (E^(F/2)) g00 g01 g02 g10-(((g02^2) g10)/64)+(1/256) (E^(F/2)) g00 (g02^2) g10+((g10^2)/16)-(((E^F) (g10^2))/16)-((g00 (g10^2))/32)+(1/32) (E^F) g00 (g10^2)+(((g00^2) (g10^2))/256)-(1/256) (E^F) (g00^2) (g10^2)-(((g02^2) (g10^2))/256)+(1/256) (E^F) (g02^2) (g10^2)-((g00 g11)/8)+(((g00^2) g11)/32)+(1/32) (E^(F/2)) (g00^2) g11-(1/128) (E^(F/2)) (g00^3) g11+((g01 g11)/8)-((g00 g01 g11)/32)-(1/32) (E^(F/2)) g00 g01 g11+(1/128) (E^(F/2)) (g00^2) g01 g11-((g00 g02 g11)/32)+(1/128) (E^(F/2)) (g00^2) g02 g11+((g01 g02 g11)/32)-(1/128) (E^(F/2)) g00 g01 g02 g11+((g01 g10 g11)/16)-(1/16) (E^F) g01 g10 g11-(1/64) g00 g01 g10 g11+(1/64) (E^F) g00 g01 g10 g11+(1/64) g01 g02 g10 g11-(1/64) (E^F) g01 g02 g10 g11-((g00 (g11^2))/32)+(1/32) (E^F) g00 (g11^2)+(((g00^2) (g11^2))/128)-(1/128) (E^F) (g00^2) (g11^2)-(1/128) g00 g02 (g11^2)+(1/128) (E^F) g00 g02 (g11^2)-((g00 g20)/16)+(((g00^2) g20)/32)-(((g00^3) g20)/256)-(((g01^2) g20)/32)+(1/128) g00 (g01^2) g20-(1/128) (g01^2) g02 g20+(1/256) g00 (g02^2) g20+(1/16) (E^(F/2)) g10 g20-(1/32) (E^(F/2)) g00 g10 g20+(1/256) (E^(F/2)) (g00^2) g10 g20+(1/32) (E^(F/2)) g01 g10 g20-(1/128) (E^(F/2)) g00 g01 g10 g20+(1/128) (E^(F/2)) g01 g02 g10 g20-(1/256) (E^(F/2)) (g02^2) g10 g20-(1/32) (E^(F/2)) g00 g11 g20+(1/128) (E^(F/2)) (g00^2) g11 g20+(1/32) (E^(F/2)) g01 g11 g20-(1/128) (E^(F/2)) g00 g01 g11 g20-(1/128) (E^(F/2)) g00 g02 g11 g20+(1/128) (E^(F/2)) g01 g02 g11 g20)/(4 (-(1/4) (E^(-F/2)) (g10-g11) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) 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(E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g01-g02) ((1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) 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g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (4-g00+g01) (-(1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])+(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) 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g11-2 g01 Cosh[(F/2)]))))))+(-(1/4) (4-g00+g01) ((1/4) ((E^(F/2)) g01-g11) (-(1/16) ((E^(-F/2)) g00-g10) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/8) (4-(E^(F/2)) g00+g10) (2-g00+g01+g10-g00 Cosh[(F/2)]))-(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/8) ((E^(-F/2)) g01-g11) (2-g00+g01+g10-g00 Cosh[(F/2)])-(1/16) ((E^(-F/2)) g00-g10) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) ((1/16) ((E^(-F/2)) g01-g11) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/16) (4-(E^(F/2)) g00+g10) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g01-g02) ((1/4) ((E^(F/2)) g01-g11) (-(1/16) ((E^(-F/2)) g00-g10) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/8) (4-(E^(F/2)) g00+g10) (2-g00+g01+g10-g00 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/8) ((E^(-F/2)) g01-g11) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/16) ((E^(-F/2)) g00-g10) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) (-(1/16) ((E^(-F/2)) g01-g11) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 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(E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) 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g11)/16)-(1/16) (E^(-F)) g01 g10 g11-(1/64) g00 g01 g10 g11+(1/64) (E^(-F)) g00 g01 g10 g11+(1/64) g01 g02 g10 g11-(1/64) (E^(-F)) g01 g02 g10 g11-((g00 (g11^2))/32)+(1/32) (E^(-F)) g00 (g11^2)+(((g00^2) (g11^2))/128)-(1/128) (E^(-F)) (g00^2) (g11^2)-(1/128) g00 g02 (g11^2)+(1/128) (E^(-F)) g00 g02 (g11^2)-((g00 g20)/16)+(((g00^2) g20)/32)-(((g00^3) g20)/256)-(((g01^2) g20)/32)+(1/128) g00 (g01^2) g20-(1/128) (g01^2) g02 g20+(1/256) g00 (g02^2) g20+(1/16) (E^(-F/2)) g10 g20-(1/32) (E^(-F/2)) g00 g10 g20+(1/256) (E^(-F/2)) (g00^2) g10 g20+(1/32) (E^(-F/2)) g01 g10 g20-(1/128) (E^(-F/2)) g00 g01 g10 g20+(1/128) (E^(-F/2)) g01 g02 g10 g20-(1/256) (E^(-F/2)) (g02^2) g10 g20-(1/32) (E^(-F/2)) g00 g11 g20+(1/128) (E^(-F/2)) (g00^2) g11 g20+(1/32) (E^(-F/2)) g01 g11 g20-(1/128) (E^(-F/2)) g00 g01 g11 g20-(1/128) (E^(-F/2)) g00 g02 g11 g20+(1/128) (E^(-F/2)) g01 g02 g11 g20))/(4 (-(1/4) (E^(-F/2)) (g10-g11) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 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(E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 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(4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))))-((E^(F/2)) ((1/4) (E^(F/2)) (g10-g11) 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g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) (g00-g01) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))))/(4 (-(1/4) (E^(-F/2)) (g10-g11) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 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(E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (4-g00+g01) (-(1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) 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g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 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(2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))/(4 (-(1/4) (E^(-F/2)) (g10-g11) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) 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Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (4-g00+g01) (-(1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) 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Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])-(1/4) (4-(E^(-F/2)) g00+g10) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (4-g00+g01) (-(1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])+(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))-(1/4) (E^(F/2)) (g10-g11) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g00-g01) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) 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(E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])+(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) 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(g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g00-g01) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) 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g11)/32)+(1/32) (E^(-F/2)) (g00^2) g11-(1/128) (E^(-F/2)) (g00^3) g11+((g01 g11)/8)-((g00 g01 g11)/32)-(1/32) (E^(-F/2)) g00 g01 g11+(1/128) (E^(-F/2)) (g00^2) g01 g11-((g00 g02 g11)/32)+(1/128) (E^(-F/2)) (g00^2) g02 g11+((g01 g02 g11)/32)-(1/128) (E^(-F/2)) g00 g01 g02 g11+((g01 g10 g11)/16)-(1/16) (E^(-F)) g01 g10 g11-(1/64) g00 g01 g10 g11+(1/64) (E^(-F)) g00 g01 g10 g11+(1/64) g01 g02 g10 g11-(1/64) (E^(-F)) g01 g02 g10 g11-((g00 (g11^2))/32)+(1/32) (E^(-F)) g00 (g11^2)+(((g00^2) (g11^2))/128)-(1/128) (E^(-F)) (g00^2) (g11^2)-(1/128) g00 g02 (g11^2)+(1/128) (E^(-F)) g00 g02 (g11^2)-((g00 g20)/16)+(((g00^2) g20)/32)-(((g00^3) g20)/256)-(((g01^2) g20)/32)+(1/128) g00 (g01^2) g20-(1/128) (g01^2) g02 g20+(1/256) g00 (g02^2) g20+(1/16) (E^(-F/2)) g10 g20-(1/32) (E^(-F/2)) g00 g10 g20+(1/256) (E^(-F/2)) (g00^2) g10 g20+(1/32) (E^(-F/2)) g01 g10 g20-(1/128) (E^(-F/2)) g00 g01 g10 g20+(1/128) (E^(-F/2)) g01 g02 g10 g20-(1/256) (E^(-F/2)) (g02^2) g10 g20-(1/32) (E^(-F/2)) g00 g11 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g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (4-g00+g01) (-(1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])+(1/4) (4-(E^(-F/2)) g00+g10) 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g00-g10) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))-(1/4) (E^(F/2)) (g10-g11) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) 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g10-(1/64) (E^(F/2)) g00 g01 g10-(1/64) (E^F) g00 g01 g10+(1/256) (E^(-F/2)) (g00^2) g01 g10+(1/256) (E^(F/2)) (g00^2) g01 g10-(1/16) (E^(F/2)) g02 g10-(1/64) (E^F) g00 g02 g10+(1/256) (E^(-F/2)) (g00^2) g02 g10+(1/256) (E^(F/2)) (g00^2) g02 g10+((g01 g02 g10)/64)+(1/64) (E^F) g01 g02 g10-(1/256) (E^(-F/2)) g00 g01 g02 g10-(1/256) (E^(F/2)) g00 g01 g02 g10-(1/8) (E^(F/2)) (g10^2)+((g00 (g10^2))/32)+(1/32) (E^(F/2)) g00 (g10^2)-(((g00^2) (g10^2))/128)-(1/32) (E^(F/2)) g02 (g10^2)+(1/128) g00 g02 (g10^2)+(1/4) (E^(F/2)) g11-((g00 g11)/16)-(1/16) (E^(F/2)) g00 g11+(((g00^2) g11)/64)+(1/16) (E^(F/2)) g02 g11-((g00 g02 g11)/64)+(1/8) (E^(F/2)) g10 g11-((g00 g10 g11)/32)-(1/32) (E^(F/2)) g00 g10 g11+(1/128) (g00^2) g10 g11+(1/32) (E^(F/2)) g02 g10 g11-(1/128) g00 g02 g10 g11+(1/16) (E^(F/2)) g00 g20-(1/64) (E^(F/2)) (g00^2) g20-(1/16) (E^(F/2)) g01 g20+(1/64) (E^(F/2)) g00 g01 g20+(1/64) (E^(F/2)) g00 g02 g20-(1/64) (E^(F/2)) g01 g02 g20-((g10 g20)/16)+((g00 g10 g20)/64)-(1/64) (E^(-F/2)) g00 g10 g20-(1/64) (E^(F/2)) g00 g10 g20+(1/256) (E^(-F/2)) (g00^2) g10 g20+(1/256) (E^(F/2)) (g00^2) g10 g20+(1/64) (E^(-F/2)) g01 g10 g20+(1/64) (E^(F/2)) g01 g10 g20-(1/256) (E^(-F/2)) g00 g01 g10 g20-(1/256) (E^(F/2)) g00 g01 g10 g20-((g02 g10 g20)/64)-(1/256) (E^(-F/2)) g00 g02 g10 g20-(1/256) (E^(F/2)) g00 g02 g10 g20+(1/256) (E^(-F/2)) g01 g02 g10 g20+(1/256) (E^(F/2)) g01 g02 g10 g20-(((g10^2) g20)/32)+(1/128) g00 (g10^2) g20-(1/128) g02 (g10^2) g20+((g11 g20)/16)-((g00 g11 g20)/64)+((g02 g11 g20)/64)+((g10 g11 g20)/32)-(1/128) g00 g10 g11 g20+(1/128) g02 g10 g11 g20+((g00 (g20^2))/64)-(((g00^2) (g20^2))/256)-((g01 (g20^2))/64)+(1/256) g00 g01 (g20^2)+(1/256) g00 g02 (g20^2)-(1/256) g01 g02 (g20^2)+(1/8) (E^(F/2)) g00 g10 Cosh[(F/2)]-(1/32) (g00^2) g10 Cosh[(F/2)]-(1/32) (E^(F/2)) (g00^2) g10 Cosh[(F/2)]+(1/128) (g00^3) g10 Cosh[(F/2)]+(1/32) (E^(F/2)) g00 g02 g10 Cosh[(F/2)]-(1/128) (g00^2) g02 g10 Cosh[(F/2)]-(1/8) (E^(F/2)) g00 g11 Cosh[(F/2)]+(1/32) (g00^2) g11 Cosh[(F/2)]+(1/32) (E^(F/2)) (g00^2) g11 Cosh[(F/2)]-(1/128) (g00^3) g11 Cosh[(F/2)]-(1/32) (E^(F/2)) g00 g02 g11 Cosh[(F/2)]+(1/128) (g00^2) g02 g11 Cosh[(F/2)]+(1/32) g00 g10 g20 Cosh[(F/2)]-(1/128) (g00^2) g10 g20 Cosh[(F/2)]+(1/128) g00 g02 g10 g20 Cosh[(F/2)]-(1/32) g00 g11 g20 Cosh[(F/2)]+(1/128) (g00^2) g11 g20 Cosh[(F/2)]-(1/128) g00 g02 g11 g20 Cosh[(F/2)]))/(2 (-(1/4) (E^(-F/2)) (g10-g11) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) (-(1/4) ((1/4) 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g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 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((E^(F/2)) g00-g10) ((1/16) (4-g00+g01) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])-(1/16) (g01-g02) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (4-g00+g01) ((1/4) ((E^(F/2)) g01-g11) (-(1/16) (g00-g01) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/8) (E^(F/2)) (g10-g11) (2-g00+g01+g10-g00 Cosh[(F/2)]))-(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/8) (4-g00+g01) (2-g00+g01+g10-g00 Cosh[(F/2)])-(1/16) (g00-g01) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) ((1/16) (4-g00+g01) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/16) (E^(F/2)) (g10-g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))-(1/4) (g01-g02) ((1/4) ((E^(F/2)) g01-g11) (-(1/16) (g00-g01) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/8) (E^(F/2)) (g10-g11) (2-g00+g01+g10-g00 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/8) (g01-g02) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/16) (g00-g01) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) (-(1/16) (g01-g02) (-g10-(E^F) g10+(E^(F/2)) 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g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])-(1/4) (4-(E^(-F/2)) g00+g10) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 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(4-(E^(-F/2)) g00+g10) ((1/16) (4-g00+g01) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/16) (E^(F/2)) (g10-g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g01-g02) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/16) (E^(-F)) (g01-g02) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/16) (E^(-F/2)) (g10-g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/16) (g01-g02) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/16) (E^(F/2)) (g10-g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (E^(-F/2)) (g10-g11) (-(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/16) (4-g00+g01) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])-(1/16) (g01-g02) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/16) (4-g00+g01) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/16) (E^(F/2)) (g10-g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/16) (g01-g02) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/16) (E^(F/2)) (g10-g11) (g00-2 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(E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])+(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) 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(E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) 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(E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (4-g00+g01) (-(1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])+(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) 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Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g00-g01) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))))-(-(1/4) (4-g00+g01) ((1/4) ((E^(F/2)) g01-g11) ((1/16) (E^(-F)) ((E^(-F/2)) g00-g10) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/8) (E^(-F)) (g10-(E^(F/2)) g20) (2-g00+g01+g10-g00 Cosh[(F/2)]))+(1/4) (4-(E^(-F/2)) g00+g10) ((1/8) ((E^(-F/2)) g01-g11) (2-g00+g01+g10-g00 Cosh[(F/2)])-(1/16) ((E^(-F/2)) g00-g10) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) ((1/16) (E^(-F)) ((E^(-F/2)) g01-g11) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/16) (E^(-F)) (g10-(E^(F/2)) g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g01-g02) ((1/4) ((E^(F/2)) g01-g11) ((1/16) (E^(-F)) ((E^(-F/2)) g00-g10) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/8) (E^(-F)) (g10-(E^(F/2)) g20) (2-g00+g01+g10-g00 Cosh[(F/2)]))-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/8) ((E^(-F/2)) g01-g11) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/16) ((E^(-F/2)) g00-g10) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/16) (E^(-F)) ((E^(-F/2)) g01-g11) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/16) (E^(-F)) (g10-(E^(F/2)) g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))))/(4 (-(1/4) (E^(-F/2)) (g10-g11) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g01-g02) ((1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])-(1/4) (4-(E^(-F/2)) g00+g10) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (4-g00+g01) (-(1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) 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g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) 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g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 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g10 g11+(1/64) g01 g02 g10 g11-(1/64) (E^(-F)) g01 g02 g10 g11-((g00 (g11^2))/32)+(1/32) (E^(-F)) g00 (g11^2)+(((g00^2) (g11^2))/128)-(1/128) (E^(-F)) (g00^2) (g11^2)-(1/128) g00 g02 (g11^2)+(1/128) (E^(-F)) g00 g02 (g11^2)-((g00 g20)/16)+(((g00^2) g20)/32)-(((g00^3) g20)/256)-(((g01^2) g20)/32)+(1/128) g00 (g01^2) g20-(1/128) (g01^2) g02 g20+(1/256) g00 (g02^2) g20+(1/16) (E^(-F/2)) g10 g20-(1/32) (E^(-F/2)) g00 g10 g20+(1/256) (E^(-F/2)) (g00^2) g10 g20+(1/32) (E^(-F/2)) g01 g10 g20-(1/128) (E^(-F/2)) g00 g01 g10 g20+(1/128) (E^(-F/2)) g01 g02 g10 g20-(1/256) (E^(-F/2)) (g02^2) g10 g20-(1/32) (E^(-F/2)) g00 g11 g20+(1/128) (E^(-F/2)) (g00^2) g11 g20+(1/32) (E^(-F/2)) g01 g11 g20-(1/128) (E^(-F/2)) g00 g01 g11 g20-(1/128) (E^(-F/2)) g00 g02 g11 g20+(1/128) (E^(-F/2)) g01 g02 g11 g20)/(4 (-(1/4) (E^(-F/2)) (g10-g11) ((1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) 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(E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])-(1/4) (4-(E^(-F/2)) g00+g10) ((1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (4-g00+g01) (-(1/4) ((E^(F/2)) g01-g11) (-(1/16) (E^(-F/2)) (g00^2)+((g00^3)/64)+(1/16) (E^(-F/2)) g00 g01-(((g00^2) g01)/64)+(1/4) (E^(-F/2)) g10+(1/16) (E^(-F)) g00 g10-(1/64) (E^(-F/2)) (g00^2) g10-(1/64) (E^(F/2)) (g00^2) g10-((g01 g10)/16)-(1/16) (E^(-F)) g01 g10+(1/64) (E^(-F/2)) g00 g01 g10+(1/64) (E^(F/2)) g00 g01 g10+(1/8) (E^(-F/2)) (g10^2)-((g00 (g10^2))/32)-(1/4) (E^(-F/2)) g11+((g00 g11)/16)-(1/8) (E^(-F/2)) g10 g11+((g00 g10 g11)/32)-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20+((g10 g20)/16)+(1/64) (E^(-F/2)) g00 g10 g20+(1/64) (E^(F/2)) g00 g10 g20-(1/64) (E^(-F/2)) g01 g10 g20-(1/64) (E^(F/2)) g01 g10 g20+(((g10^2) g20)/32)-((g11 g20)/16)-((g10 g11 g20)/32)-((g00 (g20^2))/64)+((g01 (g20^2))/64)-(1/8) (E^(-F/2)) g00 g10 Cosh[(F/2)]+(1/32) (g00^2) g10 Cosh[(F/2)]+(1/8) (E^(-F/2)) g00 g11 Cosh[(F/2)]-(1/32) (g00^2) g11 Cosh[(F/2)]-(1/32) g00 g10 g20 Cosh[(F/2)]+(1/32) g00 g11 g20 Cosh[(F/2)])+(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(g00/4)+(1/16) (E^(F/2)) (g00^2)+(g01/4)-(1/16) (E^(F/2)) g00 g01+((g01 g10)/16)-(1/16) (E^(F/2)) (g10^2)-((g00 g11)/16)+(1/16) (E^(F/2)) g10 g11) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))-(1/4) (E^(F/2)) (g10-g11) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/2) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) 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(E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g00-g01) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))))))+(-(1/4) (4-g00+g01) ((1/4) ((E^(F/2)) g01-g11) ((1/16) (E^(-F)) ((E^(-F/2)) g00-g10) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/8) (E^(-F)) (g10-(E^(F/2)) g20) (2-g00+g01+g10-g00 Cosh[(F/2)]))+(1/4) (4-(E^(-F/2)) g00+g10) ((1/8) ((E^(-F/2)) g01-g11) (2-g00+g01+g10-g00 Cosh[(F/2)])-(1/16) ((E^(-F/2)) g00-g10) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g00-g10) ((1/16) (E^(-F)) ((E^(-F/2)) g01-g11) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/16) (E^(-F)) (g10-(E^(F/2)) g20) (g00-2 g01+g02+2 g11-2 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(E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(1/16) (E^(-F/2)) (g01^2)+(1/16) (E^(-F/2)) g00 g02+((g01 g10)/16)-((g02 g10)/16)-((g00 g11)/16)+((g01 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/2) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) ((E^(-F/2)) g00-g10)-(1/16) (g00-g01) ((E^(-F/2)) g01-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/2) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (2-g00+g01+g10-g00 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F)) g01 g10+(1/16) (E^(-F/2)) (g10^2)+(1/16) (E^(-F)) g00 g11-(1/16) (E^(-F/2)) g10 g11-(1/16) (E^(-F/2)) g00 g20+(1/16) (E^(-F/2)) g01 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g00-g10) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])))+(1/4) (g00-g01) (-(1/4) (4-(E^(-F/2)) g00+g10) (-(1/4) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))-(1/4) ((E^(F/2)) g01-g11) (-(1/4) (E^(-F)) (-(g01/4)+(1/16) (E^(F/2)) g00 g01+(g02/4)-(1/16) (E^(F/2)) g00 g02+((g02 g10)/16)-((g01 g11)/16)-(1/16) (E^(F/2)) g10 g11+(1/16) (E^(F/2)) (g11^2)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^(F/2)) g01-g11) ((1/4) (E^(-F)) ((1/16) (4-g00+g01) (4-(E^(F/2)) g00+g10)-(1/16) (E^(F/2)) ((E^(-F/2)) g01-g11) (g10-g11)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))-(1/4) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20)) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20))+(1/4) (-(1/4) (E^(-F/2)) g10+((g00 g10)/16)+(1/4) (E^(-F/2)) g11-((g00 g11)/16)-((g10 g20)/16)+((g11 g20)/16)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))+(1/4) ((E^F) g10-(E^(F/2)) g20) (-(1/4) (E^(-F)) ((1/4) (E^(-F/2)) g01-(1/16) (E^(-F/2)) g00 g01+(1/16) (E^(-F/2)) g01 g02-(g11/4)+((g00 g11)/16)-((g02 g11)/16)) (-g10-(E^F) g10+(E^(F/2)) (g00-2 g10+2 g11+g20))+(1/4) ((1/16) (E^(-F)) g02 g10-(1/16) (E^(-F)) g01 g11-(1/16) (E^(-F/2)) g10 g11+(1/16) (E^(-F/2)) (g11^2)+(1/16) (E^(-F/2)) g01 g20-(1/16) (E^(-F/2)) g02 g20) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)])+(1/4) (-(1/16) (E^(-F/2)) ((E^(-F/2)) g01-g11) (g10-g11)+(1/16) (E^(-F)) (4-g00+g01) (g10-(E^(F/2)) g20)) (g00-2 g01+g02+2 g11-2 g01 Cosh[(F/2)]))))))) Sinh[(F/2)]+(((Sinh[(F/2)])^2)/(2 (s^3)))

Testing that we retrieve the non-confined model for g10=g10, etc.

msdxResp-msdxRespSimple[s,F,g00,g10,g01,g11,g20,g02]//Simplify

TempDef=msdxRespSimple[s,F,g00Expl,g10Expl,g10Expl,g11Expl,g20Expl,g20Expl]/.ellipticrule/.{ss->s+((1+Cosh[F/2])/2)};

TempDef/.{s->0.1,F->1.1}

MrespFUNZIONA[0.1,1.1]