Numerical analysis and optimal control of fractional diffusion equations on metric graphs

.title[
# Numerical analysis and optimal control of fractional diffusion equations on metric graphs
]
.author[
### Lenin Rafael Riera Segura
Joint work with David Bolin and Alexandre B. Simas
]
.institute[
### KAUST
]
.date[
### 02-03-2026
]

---

# Part I

#### Numerical Analysis

---

## Problem setting
*********

We analyze and numerically approximate solutions to fractional diffusion equations on metric graphs of the form

.content-box-gray[
$$
`\begin{cases}
  \partial_t u(s,t) + (\kappa^2 - \Delta_\Gamma)^{\alpha/2} u(s,t) & = f(s,t), \quad (s,t) \in \Gamma \times (0, T), \\
  u(s,0) & = u_0(s), \quad s \in \Gamma,
\end{cases}`
\tag{1}
$$
]

with `$u(\cdot,t)$` satisfying the Kirchhoff vertex conditions

`\begin{equation}
\label{eq:Kcondfirstpart}
\tag{2}
   \mathcal{K} =  \left\{\phi\in C(\Gamma)\;\middle|\; \forall v\in \mathcal{V}:\;  \sum_{e\in\mathcal{E}_v}\partial_e \phi(v)=0 \right\}.
\end{equation}`

Here `$\Gamma = (\mathcal{V},\mathcal{E})$` is a compact metric graph, `$\kappa>0$`, `$\alpha\in(0,2]$` determines the smoothness of `$u(\cdot,t)$`, `$\Delta_{\Gamma}$` is the so-called Kirchhoff-Laplacian.

---

## Problem setting
*********

- For `$\kappa>0$`, we define the operator `$L:D(L) = D(\Delta_{\Gamma})\to L_2(\Gamma)$` as the shifted Kirchhoff-Laplacian `$L =\kappa^2 -\Delta_{\Gamma}$`, which is densely-defined in `$L_2(\Gamma)$`, selfadjoint, and positive definite with a compact inverse, ensuring a well-posed spectral decomposition [BK13; BSW24].

- The fractional operator `$L^{\alpha/2} : D(L^{\alpha/2}) \longmapsto L_2(\Gamma)$` is defined via
`\begin{equation}
\label{lfractional}
\phi \longmapsto L^{\alpha/2}\phi = \sum_{j\in\mathbb{N}}\lambda_j^{\alpha/2}(\phi, e_j)_{L_2(\Gamma)}e_j
\end{equation}`
and `$-L^{\alpha/2}$` generates (see [Hen81])
`\begin{equation}
\label{Tsemigroup}
T(t)\phi = \sum_{j\in\mathbb{N}}e^{-\lambda^{\alpha/2}_jt}\left(\phi, e_j\right)_{L_2(\Gamma)}e_j.\tag{3}
\end{equation}`

---

## Existence and uniqueness
*********

We interpret `$(1)$` as an abstract Cauchy problem in `$L_2(\Gamma)$`, given by

.content-box-gray[
$$
`\begin{cases}
    \partial_tu(t)+L^{\alpha/2}u(t)=f(t),\quad t\in (0, T),\\  
    u(0)=u_0\in D(L^{\alpha/2}).
\end{cases}`
\tag{4}
$$
]

<div class="content-box-myblue">
Theorem 1
</div>

.content-box-gray[
If `$f\in L_2(\Gamma\times(0,T))$`  and `$u_0\in \dot{H}^{\alpha}(\Gamma)$`, then `$(4)$` has a unique mild solution given by the variation of parameters formula
`\begin{equation}
\label{solbyvarform}
u(t) = T(t)u_0 + \int_0^t T(t-r)f(r)dr,\quad t\geq 0.\tag{5}
\end{equation}`
]

---

## Discretization | Space
*********

<div class="figure" style="text-align: center">
<img src="data_files/basis.png" alt="Figure 1: Illustration of the basis function system `$\{\psi^i_h\}_{i=1}^{N_h}$` on the hat-basis-functions graph (in black). Standard hat functions associated with internal edge nodes are shown in blue, while special vertex-centered functions are highlighted in red. The star-shaped structures around the vertices are shown in green." width="90%" />
<p class="caption">Figure 1: Illustration of the basis function system `$\{\psi^i_h\}_{i=1}^{N_h}$` on the hat-basis-functions graph (in black). Standard hat functions associated with internal edge nodes are shown in blue, while special vertex-centered functions are highlighted in red. The star-shaped structures around the vertices are shown in green.</p>
</div>

---

## Discretization | Time
*********

- Backward Euler scheme

- To discretize the time domain, we divide the interval `$[0, T]$` into `$N$` uniform subintervals with time steps `$t_k = k\tau,\; k = 0, \dots, N$`, where `$\tau = T/N$` is the time step size.

- For a function `$\phi$`, we denote its value at `$t_k$` by `$\phi^k=\phi(t_k)$` and let `$\phi^\tau$` denote the sequence of evaluations `$\{\phi^k\}_{k=0}^N$` at the time step sequence `$\{t_k\}_{k=0}^N$`.

- For any sequence `$\phi^\tau$`, we let `$\tilde{\phi}^\tau$` represent the piecewise constant function given by

$$
`\begin{cases}
 \tilde{\phi}^\tau(0) = \phi^0\\
\tilde{\phi}^\tau(t) = \phi^k,\quad t\in(t_{k-1},t_k],\quad k=1,\dots, N.
\end{cases}`
$$

---

## Discrete Operator
*********

<div class="content-box-myblue">
Definition 1
</div>

.content-box-gray[
For `$\alpha\in[0,2]$`, we define the discrete version of `$L^{\alpha/2}$` as `$L_h^{\alpha/2}:V_h\to V_h$` via 
`$$(L_h^{\alpha/2}\phi_h,\psi_h)_{L_2(\Gamma)} = \mathfrak{a}(\phi_h, \psi_h),\quad \phi_h,\psi_h\in V_h,\tag{6}$$` where the bilinear form `$\mathfrak{a}:\dot{H}^{\alpha/2}(\Gamma)\times \dot{H}^{\alpha/2}(\Gamma)\to \mathbb{R}$` is defined by
`$$\mathfrak{a}(\phi,\psi) := (L^{\alpha/4}\phi,L^{\alpha/4}\psi)_{L_2(\Gamma)}, \quad \phi,\psi\in\dot{H}^{\alpha/2}(\Gamma).$$`
]

**Weak form of `$(1)$`**: Find `$u$` such that
$$
`\begin{cases}
    \langle\partial_tu,\phi\rangle + \mathfrak{a}(u,\phi) &= \langle f,\phi\rangle,\quad\forall \phi\in \dot{H}^{\alpha/2}(\Gamma),\quad \text{a.e. } t\in(0,T),\\  
    u(0)&=u_0.
\end{cases}`
\tag{7}
$$

---

## Approximation | time-level
*********

Let `$\alpha>0$` and `$U^\tau$` denote the sequence of approximations of the solution to problem `$(7)$` at each time step. That is, `$U^{\tau}\subset\dot{H}^{\alpha/2}(\Gamma)$` solves
$$
`\begin{cases}
    \langle\delta U^{k+1},\phi\rangle + \mathfrak{a}(U^{k+1},\phi)  &= \langle f^{k+1},\phi\rangle , \quad\forall\phi\in \dot{H}^{\alpha/2}(\Gamma),\quad k=0,\dots, N-1, \\
    U^0 &= u_0.
\end{cases}`
\tag{8}
$$

<div class="content-box-myblue">
Theorem 2
</div>

.content-box-gray[
Let `$\alpha>0$` and `$u$` be the solution to `$(7)$`. Let `$\tilde{U}^\tau$` be the piecewise constant function constructed from the solution to `$(8)$`. If `$f\in L_\infty((0,T);L_2(\Gamma))$` and `$u_0\in\dot{H}^{\alpha/2}(\Gamma)$`, then
`$$\|u-\tilde{U}^\tau\|_{L_2(\Gamma\times(0,T))}\lesssim \tau \left(\|u_0\|_{\dot{H}^{\alpha/2}(\Gamma)}+\|f\|_{L_\infty((0,T);L_2(\Gamma))}\right).$$`
]

---

## Approximation | space-level
*********

Let `$\alpha\in(0,2]$` and `$U_h^\tau$` denote the sequence of approximations of the solution to problem `$(7)$` at each time step on a mesh indexed by `$h$`. That is, `$U_h^{\tau}\subset V_h$` solves
$$
`\begin{cases}
    \langle\delta U_h^{k+1},\phi\rangle + \mathfrak{a}(
        U_h^{k+1},\phi) &= \langle f^{k+1},\phi\rangle, \quad\forall\phi\in V_h,\quad k=0,\dots, N-1, \\
    U^0_h &= P_hu_0, 
\end{cases}`
\tag{9}
$$

<div class="content-box-myblue">
Theorem 3
</div>

.content-box-gray[
Let `$\alpha\in[0,2]$` and `$U^\tau$` and `$U_h^\tau$` be the solutions to `$(8)$` and `$(9)$`, respectively. If `$f\in L_2(\Gamma\times(0,T))$` and `$u_0\in\dot{H}^{\alpha}(\Gamma)$`, then
`$$\|U^\tau-U_h^\tau\|_{\ell^2(L_2(\Gamma))}\lesssim h^{\alpha}\left(\|u_0\|_{\dot{H}^{\alpha}(\Gamma)} + \|f^\tau\|_{\ell^2(L_2(\Gamma))}\right).$$`
]

---

## Approximation | rational approx-level | 1
*********

The corresponding strong form of `$(9)$` is given by
`$$(I_{V_h}+\tau (\kappa^{2})^{\alpha/2}(L_h/\kappa^2)^{\alpha/2})U_h^{k+1} = U_h^{k}+\tau f^{k+1}.\tag{10}$$`
Let `$\beta = \alpha/2$`. Applying `$(L_h/\kappa^2)^{-\beta}$` to `$(10)$` yields 
`$$((L_h/\kappa^2)^{-\beta}+\tau \kappa^{2\beta} I_{V_h})U_h^{k+1}=(L_h/\kappa^2)^{-\beta}(U_h^{k}+\tau f^{k+1}).\tag{11}$$`
.content-box-gray[
We now consider a rational approximation of `$(L_h/\kappa^2)^{-\beta}$` of the form 
`$$r_m((L_h/\kappa^2)^{-1})= p_\ell(L_h/\kappa^2)^{-1}p_r(L_h/\kappa^2).\tag{12}$$`
]

---

## Approximation | rational approx-level | 2
*********

Replacing the rational approximation of `$(L_h/\kappa^2)^{-\beta}$` in `$(11)$` yields 
`$$(r_m((L_h/\kappa^2)^{-1})+\tau \kappa^{2\beta} I_{V_h})U_{h,m}^{k+1}=r_m((L_h/\kappa^2)^{-1})(U_{h,m}^{k}+\tau f^{k+1}),\tag{13}$$`
where the subindex `$m$` indicates the dependence of the solution on the degree of the rational approximation.

<div class="content-box-myblue">
Theorem 4
</div>

.content-box-gray[
Let `$\alpha\in[0,2]$` and `$u$` be the solution to `$(7)$`. Assume further that for `$k=0,\dots,N-1$`, `$U^{k+1}_{h,m}\in V_h$` solves the weak form of `$(13)$` with `$U^{0}_{h,m}= U^{0}_{h}$`. If `$f\in L_\infty((0,T);L_2(\Gamma))$` and `$u_0\in\dot{H}^{\alpha}(\Gamma)$`, then
`$$\|u-U_{h,m}^\tau\|_{L_2(\Gamma\times(0,T))}\lesssim\tau+h^\alpha + h^{\alpha-2}e^{-2\pi\sqrt{(1-\alpha/2)m}},\tag{14}$$`
where the hidden constant depends on `$\|u_0\|_{L_2(\Gamma)} +\|f\|_{L_\infty((0,T);L_2(\Gamma))}$`.
]

---

## Matrix representation | 1
*********

To derive the matrix representation of the numerical scheme, we first use `$(12)$` to rewrite `$(13)$` as
`$$(p_r(L_h/\kappa^2)+\tau \kappa^{2\beta}p_\ell(L_h/\kappa^2))U_{h,m}^{k+1}= p_r(L_h/\kappa^2) (U_{h,m}^{k}+\tau f^{k+1}).\tag{15}$$`
We can now go one step further and isolate the numerical solution at time `$t_{k+1}$` by consider the following partial fraction decomposition 
`$$\dfrac{p_r(x)}{p_r(x)+\tau \kappa^{2\beta}p_\ell(x)} =  \sum_{k=1}^{m+1}a_k(x-p_k)^{-1} + r,\tag{16}$$`
where `$\{a_k\}_{k=1}^{m+1}$` and `$\{p_k\}_{k=1}^{m+1}$` are the residues and poles, respectively, and `$r$` denotes the remainder. Substituting this into `$(15)$` gives the iteration rule
`$$U_{h,m}^{k+1}= \left(\sum_{k=1}^{m+1}a_k(L_h/\kappa^2-p_kI_{V_h})^{-1} + rI_{V_h}\right) (U_{h,m}^{k}+\tau f^{k+1}).\tag{17}$$`

---

## Matrix representation | 2
*********

Substituting the expansion `$U_h^k(s) =  \sum_{i=1}^{N_h}u_i^k\psi^i_h(s)$`, `$s\in\Gamma$` into the weak form `$(17)$` yields the following matrix iteration
`$$\mathbf{U}_{k+1} = \mathbf{C}^{-1}\left(\sum_{k=1}^{m+1} a_k\left(\mathbf{L}\mathbf{C}^{-1}/\kappa^2-p_k\mathbf{I}_{N_h}\right)^{-1} + r\mathbf{I}_{N_h}\right) (\mathbf{C}\mathbf{U}_k+\tau \mathbf{F}_{k+1}),\tag{18}$$`
where `$\mathbf{L} = \kappa^2\mathbf{C}+\mathbf{G}$`, the matrix `$\mathbf{C}\in\mathbb{R}^{N_h\times N_h}$` has entries `$\mathbf{C}_{i,j} = (\psi^i_h,\psi^j_h)_{L_2(\Gamma)}$`, `$\mathbf{G}\in\mathbb{R}^{N_h\times N_h}$` has entries `$\mathbf{G}_{i,j} = ({\psi^{i}_h}',{\psi^{j}_h}')_{L_2(\Gamma)}$`, `$\mathbf{U}_k\in\mathbb{R}^{N_h}$` has entries `$u_i^k$`, and `$\mathbf{F}_k\in\mathbb{R}^{N_h}$` has components `$(f^{k},\psi^i_h)_{L_2(\Gamma)}$`.

In practice, since the rational function in `$(16)$` is proper, there is no remainder `$r$`. Moreover, since `$( \mathbf{L}\mathbf{C}^{-1}/\kappa^2-p_k\mathbf{I}_{N_h})^{-1}  = \mathbf{C}(\mathbf{L}/\kappa^2-p_k\mathbf{C})^{-1}$`, iteration `$(18)$` reduces to
`$$\mathbf{U}_{k+1} = \mathbf{R}(\mathbf{C}\mathbf{U}_k+\tau \mathbf{F}_{k+1}),\quad \mathbf{R} = \sum_{k=1}^{m+1} a_k\left(\mathbf{L}/\kappa^2-p_k\mathbf{C}\right)^{-1},\tag{19}$$`
where it is evident that only sparse solves are required.

---

## Numerical experiments | 1
*********

Using the spectral representation `$(3)$` of the semigroup `$T(t)$`, the solution `$(5)$` of problem `$(4)$` can be expressed as

.content-box-gray[
`$$u(s,t) = \displaystyle\sum_{j\in\mathbb{N}}\text{e}^{-\lambda^{\alpha/2}_jt}\left(u_0, e_j\right)_{L_2(\Gamma)}e_j(s) + \int_0^t \displaystyle\sum_{j\in\mathbb{N}}\text{e}^{-\lambda^{\alpha/2}_j(t-r)}\left(f(r), e_j\right)_{L_2(\Gamma)}e_j(s)dr.$$`
]

- Choose `$\{x_j\}_{j=1}^{\infty}$` and set `$u_0(s) = \sum_{j=1}^{\infty}x_je_j(s)$`.
- Choose a scalar function `$g(t)$` and coefficients `$\{y_j\}_{j=1}^{\infty}$` and let `$f(s,t) = g(t)\sum_{j=1}^{\infty} y_j e_j(s)$`.
 
-  The exact solution is then given by

.content-box-gray[
$$ u(s,t) = \sum_{j=1}^{\infty}(x_j+y_j G_j(t))\text{e}^{-\lambda^{\alpha/2}_jt}e_j(s),\quad G_j(t)= \int_0^t \text{e}^{\lambda^{\alpha/2}_jr}g(r)dr.$$
]

---

## Numerical experiments | 2
*********

<div class="figure" style="text-align: center">
<div class="plotly html-widget html-fill-item" id="htmlwidget-09b7c25831eb6d30c94f" style="width:100%;height:450px;"></div>
<script type="application/json" data-for="htmlwidget-09b7c25831eb6d30c94f">{"x":{"visdat":{"3282c72042cee7":["function () ","plotlyVisDat"]},"cur_data":"3282c72042cee7","attrs":{"3282c72042cee7":{"alpha_stroke":1,"sizes":[10,100],"spans":[1,20],"x":[0,0.01,0.02,0.029999999999999999,0.040000000000000001,0.050000000000000003,0.059999999999999998,0.070000000000000007,0.080000000000000002,0.089999999999999997,0.10000000000000001,0.11,0.12,0.13,0.14000000000000001,0.14999999999999999,0.16,0.17000000000000001,0.17999999999999999,0.19,0.20000000000000001,0.20999999999999999,0.22,0.23000000000000001,0.23999999999999999,0.25,0.26000000000000001,0.27000000000000002,0.28000000000000003,0.28999999999999998,0.29999999999999999,0.31,0.32000000000000001,0.33000000000000002,0.34000000000000002,0.34999999999999998,0.35999999999999999,0.37,0.38,0.39000000000000001,0.40000000000000002,0.40999999999999998,0.41999999999999998,0.42999999999999999,0.44,0.45000000000000001,0.46000000000000002,0.46999999999999997,0.47999999999999998,0.48999999999999999,0.5,0.51000000000000001,0.52000000000000002,0.53000000000000003,0.54000000000000004,0.55000000000000004,0.56000000000000005,0.56999999999999995,0.57999999999999996,0.58999999999999997,0.59999999999999998,0.60999999999999999,0.62,0.63,0.64000000000000001,0.65000000000000002,0.66000000000000003,0.67000000000000004,0.68000000000000005,0.68999999999999995,0.69999999999999996,0.70999999999999996,0.71999999999999997,0.72999999999999998,0.73999999999999999,0.75,0.76000000000000001,0.77000000000000002,0.78000000000000003,0.79000000000000004,0.80000000000000004,0.81000000000000005,0.81999999999999995,0.82999999999999996,0.83999999999999997,0.84999999999999998,0.85999999999999999,0.87,0.88,0.89000000000000001,0.90000000000000002,0.91000000000000003,0.92000000000000004,0.93000000000000005,0.93999999999999995,0.94999999999999996,0.95999999999999996,0.96999999999999997,0.97999999999999998,0.98999999999999999,1,1.0001570670263213,1.0006281124703467,1.0014126714664966,1.0025099697491828,1.0039189244169164,1.0056381450010008,1.0076659348377568,1.0100002927429257,1.0126389149865966,1.0155791975667106,1.0188182387788958,1.0223528420801009,1.0261795192431966,1.0302944937994349,1.0346937047653684,1.0393728106505509,1.0443271937420644,1.049551964661644,1.0550419671909046,1.0607917833599063,1.066795738794035,1.0730479083139275,1.079542121782906,1.0862719701961592,1.093230812005656,1.1004117796745509,1.1078077864546148,1.1154115333799985,1.1232155164704314,1.1312120341367424,1.1393931947814013,1.1477509245865696,1.1562769754819839,1.164962933284807,1.1738002260034088,1.1827801322968867,1.1918937900819764,1.2011322052788564,1.2104862606872204,1.2199467249838509,1.2295042618328216,1.2391494390993323,1.2488727381580871,1.2586645632870279,1.2685152511371525,1.278415080269073,1.2883542807469031,1.2983230437800031,1.3083115314030722,1.318309886185032,1.3283082409571194,1.3382967285505916,1.3482654915344283,1.3582046919434261,1.3681045209870815,1.3779552087296818,1.3877470337320528,1.397470332645443,1.4071155097480821,1.4166730464149997,1.4261335105117576,1.4354875657028281,1.4447259806654276,1.4538396381997178,1.4628195442263805,1.4716568366626874,1.4803427941683052,1.4888688447522032,1.4972265742321775,1.5054077345386261,1.5134042518544009,1.5212082345826889,1.5288119811350651,1.5362079875320305,1.5433889548085309,1.5503477962171559,1.5570776442219019,1.5635718572755992,1.5698240263743186,1.5758279813822822,1.5815777971210425,1.5870677992169184,1.5922925697009165,1.5972469523556097,1.6019260578037033,1.6063252683332594,1.6104402424548192,1.6142669191859293,1.6178015220588422,1.6210405628474307,1.6239808450096487,1.6266194668421301,1.6289538243438193,1.6309816137858075,1.6327008339848326,1.634109788278207,1.6352070861982173,1.635991644844349,1.6364626899519779,1.6366197566564762,1.6364626899519772,1.6359916448443472,1.6352070861982146,1.6341097882782034,1.6327008339848281,1.6309816137858018,1.6289538243438126,1.6266194668421219,1.6239808450096398,1.6210405628474205,1.6178015220588304,1.6142669191859162,1.610440242454805,1.6063252683332438,1.6019260578036867,1.5972469523555917,1.5922925697008974,1.5870677992168984,1.5815777971210212,1.5758279813822602,1.5698240263742953,1.5635718572755748,1.5570776442218759,1.550347796217129,1.5433889548085025,1.5362079875320009,1.5288119811350342,1.5212082345826565,1.5134042518543673,1.5054077345385921,1.4972265742321433,1.4888688447521685,1.4803427941682694,1.4716568366626512,1.4628195442263436,1.4538396381996805,1.4447259806653905,1.4354875657027908,1.4261335105117199,1.4166730464149608,1.4071155097480432,1.3974703326454037,1.3877470337320137,1.3779552087296425,1.3681045209870419,1.3582046919433863,1.3482654915343881,1.3382967285505512,1.3283082409570803,1.3183098861849925,1.3083115314030334,1.2983230437799647,1.2883542807468644,1.2784150802690342,1.2685152511371123,1.2586645632869882,1.2488727381580478,1.2391494390992923,1.2295042618327818,1.2199467249838125,1.2104862606871825,1.2011322052788191,1.1918937900819404,1.1827801322968519,1.173800226003374,1.1649629332847729,1.1562769754819513,1.1477509245865374,1.13939319478137,1.131212034136712,1.1232155164704012,1.1154115333799695,1.1078077864545861,1.1004117796745227,1.0932308120056284,1.0862719701961325,1.0795421217828809,1.0730479083139035,1.0667957387940117,1.0607917833598846,1.0550419671908848,1.0495519646616254,1.0443271937420471,1.0393728106505351,1.0346937047653539,1.0302944937994223,1.0261795192431853,1.0223528420800909,1.0188182387788869,1.0155791975667028,1.0126389149865902,1.0100002927429201,1.0076659348377526,1.0056381450009977,1.0039189244169142,1.0025099697491815,1.0014126714664957,1.0006281124703462,1.0001570670263211,1],"y":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-0.0099983551373498888,-0.019986843085858921,-0.029955606414171092,-0.039894807156767249,-0.049794636522848525,-0.059645324576427933,-0.069437149878076948,-0.079160449078811548,-0.088805626456650549,-0.098363163386433708,-0.10782362773355453,-0.11717768316233802,-0.12641609834987574,-0.13552975609622614,-0.14450966232198917,-0.15334695494437647,-0.16203291262301595,-0.17055896336686072,-0.1789166929937091,-0.18709785343398522,-0.19509437087058731,-0.2028983537067694,-0.21050210035419403,-0.21789810683346886,-0.22507907417966791,-0.23203791564552759,-0.23876776369521011,-0.24526197678173126,-0.25151414590136478,-0.2575181009185542,-0.26326791665509147,-0.26875791873755123,-0.27398268919721169,-0.27893707181693478,-0.28361617721973004,-0.28801538769397755,-0.29213036175055207,-0.29595703840734716,-0.29949164119697452,-0.30273068189367996,-0.30567096395580096,-0.30830958568036648,-0.31064394306672727,-0.3126717323863894,-0.31439095245651533,-0.31579990661485002,-0.31689720439412067,-0.31768176289425992,-0.31815280785109673,-0.31830987440046188,-0.3181528075369518,-0.31768176226690015,-0.31689720345540517,-0.31579990536756336,-0.3143909509043632,-0.3126717305339925,-0.31064394091961378,-0.30830958324496255,-0.30567096123942067,-0.302730678904513,-0.29949163794407263,-0.29595703490060921,-0.29213035800070741,-0.28801538371256902,-0.28361617301909381,-0.27893706741018093,-0.27398268459820146,-0.26875791396087512,-0.26326791171604313,-0.25751809583310609,-0.25151414068614181,-0.24526197145398207,-0.23876775827277902,-0.23203791014682326,-0.22507906862363344,-0.21789810123954942,-0.21050209474230322,-0.20289834809725657,-0.19509436528420157,-0.18709784789184114,-0.17891668751725012,-0.17055895797782161,-0.16203290734338549,-0.15334694979636004,-0.1445096573279693,-0.13552975127872294,-0.12641609373150892,-0.11717767876578532,-0.10782362358151219,-0.098363159501575911,-0.088805622861587843,-0.079160445796051387,-0.069437146929982305,-0.059645321985175227,-0.049794634310388636,-0.039894805344783416,-0.029955605024038344,-0.019986842138604289,-0.0099983546536117421,1.1950049240080918e-14,0.009998354653636906,0.019986842138630747,0.029955605024065836,0.039894805344811587,0.049794634310417703,0.059645321985205564,0.069437146930012766,0.079160445796082599,0.088805622861619193,0.098363159501607567,0.10782362358154511,0.11717767876581843,0.1264160937315417,0.1355297512787563,0.14450965732800214,0.15334694979639263,0.16203290734341766,0.17055895797785331,0.17891668751728118,0.18709784789187128,0.19509436528423152,0.20289834809728605,0.21050209474233283,0.2178981012395782,0.22507906862366189,0.2320379101468511,0.23876775827280633,0.2452619714540088,0.25151414068616773,0.25751809583313079,0.26326791171606634,0.2687579139608971,0.27398268459822256,0.2789370674102008,0.28361617301911263,0.28801538371258639,0.29213035800072351,0.29595703490062397,0.29949163794408612,0.30273067890452554,0.30567096123943194,0.3083095832449726,0.3106439409196225,0.31267173053399999,0.31439095090436947,0.31579990536756841,0.31689720345540895,0.31768176226690265,0.31815280753695296,0.31830987440046182,0.31815280785109551,0.31768176289425748,0.31689720439411706,0.31579990661484508,0.31439095245650894,0.3126717323863818,0.31064394306671855,0.30830958568035627,0.30567096395578941,0.30273068189366747,0.29949164119696092,0.2959570384073324,0.29213036175053653,0.28801538769396112,0.28361617721971238,0.27893707181691602,0.27398268919719243,0.2687579187375308,0.26326791665507004,0.25751810091853194,0.25151414590134152,0.24526197678170716,0.23876776369518476,0.23203791564550097,0.2250790741796404,0.21789810683344044,0.21050210035416575,0.20289835370674028,0.19509437087055728,0.18709785343395552,0.17891669299367985,0.17055896336683155,0.16203291262298658,0.15334695494434772,0.14450966232196086,0.13552975609619911,0.12641609834984927,0.11717768316231239,0.1078236277335294,0.098363163386409699,0.088805626456628289,0.07916044907879051,0.069437149878057672,0.059645324576411328,0.049794636522834446,0.03989480715675596,0.029955606414162565,0.019986843085853231,0.0099983551373470075,0],"z":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"type":"scatter3d","mode":"lines","line":{"color":"black","width":4},"name":"Graph","showlegend":false,"inherit":true},"3282c72042cee7.1":{"alpha_stroke":1,"sizes":[10,100],"spans":[1,20],"type":"scatter3d","mode":"lines","x":[0,0.01,0.02,0.029999999999999999,0.040000000000000001,0.050000000000000003,0.059999999999999998,0.070000000000000007,0.080000000000000002,0.089999999999999997,0.10000000000000001,0.11,0.12,0.13,0.14000000000000001,0.14999999999999999,0.16,0.17000000000000001,0.17999999999999999,0.19,0.20000000000000001,0.20999999999999999,0.22,0.23000000000000001,0.23999999999999999,0.25,0.26000000000000001,0.27000000000000002,0.28000000000000003,0.28999999999999998,0.29999999999999999,0.31,0.32000000000000001,0.33000000000000002,0.34000000000000002,0.34999999999999998,0.35999999999999999,0.37,0.38,0.39000000000000001,0.40000000000000002,0.40999999999999998,0.41999999999999998,0.42999999999999999,0.44,0.45000000000000001,0.46000000000000002,0.46999999999999997,0.47999999999999998,0.48999999999999999,0.5,0.51000000000000001,0.52000000000000002,0.53000000000000003,0.54000000000000004,0.55000000000000004,0.56000000000000005,0.56999999999999995,0.57999999999999996,0.58999999999999997,0.59999999999999998,0.60999999999999999,0.62,0.63,0.64000000000000001,0.65000000000000002,0.66000000000000003,0.67000000000000004,0.68000000000000005,0.68999999999999995,0.69999999999999996,0.70999999999999996,0.71999999999999997,0.72999999999999998,0.73999999999999999,0.75,0.76000000000000001,0.77000000000000002,0.78000000000000003,0.79000000000000004,0.80000000000000004,0.81000000000000005,0.81999999999999995,0.82999999999999996,0.83999999999999997,0.84999999999999998,0.85999999999999999,0.87,0.88,0.89000000000000001,0.90000000000000002,0.91000000000000003,0.92000000000000004,0.93000000000000005,0.93999999999999995,0.94999999999999996,0.95999999999999996,0.96999999999999997,0.97999999999999998,0.98999999999999999,1,1.0001570670263213,1.0006281124703467,1.0014126714664966,1.0025099697491828,1.0039189244169164,1.0056381450010008,1.0076659348377568,1.0100002927429257,1.0126389149865966,1.0155791975667106,1.0188182387788958,1.0223528420801009,1.0261795192431966,1.0302944937994349,1.0346937047653684,1.0393728106505509,1.0443271937420644,1.049551964661644,1.0550419671909046,1.0607917833599063,1.066795738794035,1.0730479083139275,1.079542121782906,1.0862719701961592,1.093230812005656,1.1004117796745509,1.1078077864546148,1.1154115333799985,1.1232155164704314,1.1312120341367424,1.1393931947814013,1.1477509245865696,1.1562769754819839,1.164962933284807,1.1738002260034088,1.1827801322968867,1.1918937900819764,1.2011322052788564,1.2104862606872204,1.2199467249838509,1.2295042618328216,1.2391494390993323,1.2488727381580871,1.2586645632870279,1.2685152511371525,1.278415080269073,1.2883542807469031,1.2983230437800031,1.3083115314030722,1.318309886185032,1.3283082409571194,1.3382967285505916,1.3482654915344283,1.3582046919434261,1.3681045209870815,1.3779552087296818,1.3877470337320528,1.397470332645443,1.4071155097480821,1.4166730464149997,1.4261335105117576,1.4354875657028281,1.4447259806654276,1.4538396381997178,1.4628195442263805,1.4716568366626874,1.4803427941683052,1.4888688447522032,1.4972265742321775,1.5054077345386261,1.5134042518544009,1.5212082345826889,1.5288119811350651,1.5362079875320305,1.5433889548085309,1.5503477962171559,1.5570776442219019,1.5635718572755992,1.5698240263743186,1.5758279813822822,1.5815777971210425,1.5870677992169184,1.5922925697009165,1.5972469523556097,1.6019260578037033,1.6063252683332594,1.6104402424548192,1.6142669191859293,1.6178015220588422,1.6210405628474307,1.6239808450096487,1.6266194668421301,1.6289538243438193,1.6309816137858075,1.6327008339848326,1.634109788278207,1.6352070861982173,1.635991644844349,1.6364626899519779,1.6366197566564762,1.6364626899519772,1.6359916448443472,1.6352070861982146,1.6341097882782034,1.6327008339848281,1.6309816137858018,1.6289538243438126,1.6266194668421219,1.6239808450096398,1.6210405628474205,1.6178015220588304,1.6142669191859162,1.610440242454805,1.6063252683332438,1.6019260578036867,1.5972469523555917,1.5922925697008974,1.5870677992168984,1.5815777971210212,1.5758279813822602,1.5698240263742953,1.5635718572755748,1.5570776442218759,1.550347796217129,1.5433889548085025,1.5362079875320009,1.5288119811350342,1.5212082345826565,1.5134042518543673,1.5054077345385921,1.4972265742321433,1.4888688447521685,1.4803427941682694,1.4716568366626512,1.4628195442263436,1.4538396381996805,1.4447259806653905,1.4354875657027908,1.4261335105117199,1.4166730464149608,1.4071155097480432,1.3974703326454037,1.3877470337320137,1.3779552087296425,1.3681045209870419,1.3582046919433863,1.3482654915343881,1.3382967285505512,1.3283082409570803,1.3183098861849925,1.3083115314030334,1.2983230437799647,1.2883542807468644,1.2784150802690342,1.2685152511371123,1.2586645632869882,1.2488727381580478,1.2391494390992923,1.2295042618327818,1.2199467249838125,1.2104862606871825,1.2011322052788191,1.1918937900819404,1.1827801322968519,1.173800226003374,1.1649629332847729,1.1562769754819513,1.1477509245865374,1.13939319478137,1.131212034136712,1.1232155164704012,1.1154115333799695,1.1078077864545861,1.1004117796745227,1.0932308120056284,1.0862719701961325,1.0795421217828809,1.0730479083139035,1.0667957387940117,1.0607917833598846,1.0550419671908848,1.0495519646616254,1.0443271937420471,1.0393728106505351,1.0346937047653539,1.0302944937994223,1.0261795192431853,1.0223528420800909,1.0188182387788869,1.0155791975667028,1.0126389149865902,1.0100002927429201,1.0076659348377526,1.0056381450009977,1.0039189244169142,1.0025099697491815,1.0014126714664957,1.0006281124703462,1.0001570670263211,1],"y":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-0.0099983551373498888,-0.019986843085858921,-0.029955606414171092,-0.039894807156767249,-0.049794636522848525,-0.059645324576427933,-0.069437149878076948,-0.079160449078811548,-0.088805626456650549,-0.098363163386433708,-0.10782362773355453,-0.11717768316233802,-0.12641609834987574,-0.13552975609622614,-0.14450966232198917,-0.15334695494437647,-0.16203291262301595,-0.17055896336686072,-0.1789166929937091,-0.18709785343398522,-0.19509437087058731,-0.2028983537067694,-0.21050210035419403,-0.21789810683346886,-0.22507907417966791,-0.23203791564552759,-0.23876776369521011,-0.24526197678173126,-0.25151414590136478,-0.2575181009185542,-0.26326791665509147,-0.26875791873755123,-0.27398268919721169,-0.27893707181693478,-0.28361617721973004,-0.28801538769397755,-0.29213036175055207,-0.29595703840734716,-0.29949164119697452,-0.30273068189367996,-0.30567096395580096,-0.30830958568036648,-0.31064394306672727,-0.3126717323863894,-0.31439095245651533,-0.31579990661485002,-0.31689720439412067,-0.31768176289425992,-0.31815280785109673,-0.31830987440046188,-0.3181528075369518,-0.31768176226690015,-0.31689720345540517,-0.31579990536756336,-0.3143909509043632,-0.3126717305339925,-0.31064394091961378,-0.30830958324496255,-0.30567096123942067,-0.302730678904513,-0.29949163794407263,-0.29595703490060921,-0.29213035800070741,-0.28801538371256902,-0.28361617301909381,-0.27893706741018093,-0.27398268459820146,-0.26875791396087512,-0.26326791171604313,-0.25751809583310609,-0.25151414068614181,-0.24526197145398207,-0.23876775827277902,-0.23203791014682326,-0.22507906862363344,-0.21789810123954942,-0.21050209474230322,-0.20289834809725657,-0.19509436528420157,-0.18709784789184114,-0.17891668751725012,-0.17055895797782161,-0.16203290734338549,-0.15334694979636004,-0.1445096573279693,-0.13552975127872294,-0.12641609373150892,-0.11717767876578532,-0.10782362358151219,-0.098363159501575911,-0.088805622861587843,-0.079160445796051387,-0.069437146929982305,-0.059645321985175227,-0.049794634310388636,-0.039894805344783416,-0.029955605024038344,-0.019986842138604289,-0.0099983546536117421,1.1950049240080918e-14,0.009998354653636906,0.019986842138630747,0.029955605024065836,0.039894805344811587,0.049794634310417703,0.059645321985205564,0.069437146930012766,0.079160445796082599,0.088805622861619193,0.098363159501607567,0.10782362358154511,0.11717767876581843,0.1264160937315417,0.1355297512787563,0.14450965732800214,0.15334694979639263,0.16203290734341766,0.17055895797785331,0.17891668751728118,0.18709784789187128,0.19509436528423152,0.20289834809728605,0.21050209474233283,0.2178981012395782,0.22507906862366189,0.2320379101468511,0.23876775827280633,0.2452619714540088,0.25151414068616773,0.25751809583313079,0.26326791171606634,0.2687579139608971,0.27398268459822256,0.2789370674102008,0.28361617301911263,0.28801538371258639,0.29213035800072351,0.29595703490062397,0.29949163794408612,0.30273067890452554,0.30567096123943194,0.3083095832449726,0.3106439409196225,0.31267173053399999,0.31439095090436947,0.31579990536756841,0.31689720345540895,0.31768176226690265,0.31815280753695296,0.31830987440046182,0.31815280785109551,0.31768176289425748,0.31689720439411706,0.31579990661484508,0.31439095245650894,0.3126717323863818,0.31064394306671855,0.30830958568035627,0.30567096395578941,0.30273068189366747,0.29949164119696092,0.2959570384073324,0.29213036175053653,0.28801538769396112,0.28361617721971238,0.27893707181691602,0.27398268919719243,0.2687579187375308,0.26326791665507004,0.25751810091853194,0.25151414590134152,0.24526197678170716,0.23876776369518476,0.23203791564550097,0.2250790741796404,0.21789810683344044,0.21050210035416575,0.20289835370674028,0.19509437087055728,0.18709785343395552,0.17891669299367985,0.17055896336683155,0.16203291262298658,0.15334695494434772,0.14450966232196086,0.13552975609619911,0.12641609834984927,0.11717768316231239,0.1078236277335294,0.098363163386409699,0.088805626456628289,0.07916044907879051,0.069437149878057672,0.059645324576411328,0.049794636522834446,0.03989480715675596,0.029955606414162565,0.019986843085853231,0.0099983551373470075,0],"z":[0.21836553912083895,0.21622810994877489,0.21409068077671084,0.21195325160464673,0.20981582243258268,0.2076783932605186,0.20147532751415453,0.1952722617677905,0.18906919602142647,0.18286613027506241,0.17666306452869834,0.16700154769211759,0.15734003085553683,0.1476785140189561,0.13801699718237531,0.12835548034579458,0.11618122683481232,0.10400697332383005,0.091832719812847824,0.079658466301865544,0.067484212790883277,0.053988894061848237,0.04049357533281317,0.026998256603778102,0.013502937874743064,7.6191457079940376e-06,-0.013487783790368045,-0.026983186726444085,-0.040478589662520124,-0.053973992598596088,-0.067469395534672127,-0.079643897013482803,-0.091818398492293479,-0.10399289997110416,-0.11616740144991483,-0.12834190292872544,-0.13800381779118037,-0.14766573265363531,-0.15732764751609024,-0.16698956237854515,-0.17665147724100008,-0.18285506907631088,-0.18905866091162171,-0.19526225274693254,-0.20146584458224334,-0.20766943641755417,-0.20980749066987864,-0.21194554492220308,-0.21408359917452757,-0.21622165342685204,-0.21835970767917651,-0.21622296803665178,-0.21408622839412705,-0.2119494887516023,-0.20981274910907755,-0.20767600946655282,-0.2014736595954949,-0.19527130972443704,-0.18906895985337913,-0.18286660998232118,-0.17666426011126327,-0.16700344593637209,-0.15734263176148089,-0.14768181758658971,-0.13802100341169854,-0.12836018923680736,-0.11618658634470125,-0.10401298345259512,-0.091839380560488987,-0.079665777668382981,-0.067492174776276864,-0.053997418670001879,-0.040502662563726893,-0.027007906457451911,-0.013513150351176924,-1.8394244901943791e-05,0.01347656515515339,0.026971524555208723,0.040466483955264053,0.05396144335531939,0.06745640275537472,0.079630604294775226,0.091804805834175579,0.10397900737357607,0.11615320891297656,0.12832741045237706,0.13798918554673184,0.14765096064108663,0.15731273573544144,0.1669745108297962,0.17663628592415101,0.18283990588627924,0.18904352584840745,0.19524714581053565,0.2014507657726638,0.20765438573479203,0.20979263445455903,0.21193088317432596,0.21406913189409293,0.21620738061385991,0.21834562933362686,0.21620877496811591,0.21407192060260496,0.21193506623709399,0.20979821187158304,0.20766135750607206,0.20145905484596169,0.19525675218585131,0.18905444952574096,0.18285214686563059,0.17664984420552024,0.1669892365666259,0.15732862892773153,0.14766802128883716,0.13800741364994279,0.12834680601104845,0.11617355756677639,0.10400030912250435,0.09182706067823232,0.079653812233960258,0.067480563789688211,0.053986290456240781,0.040492017122793315,0.026997743789345857,0.013503470455898427,9.1971224509652105e-06,-0.013485177857886676,-0.026979552838224317,-0.040473927818561954,-0.053968302798899519,-0.06746267777923716,-0.079636225547156408,-0.091809773315075643,-0.10398332108299489,-0.11615686885091414,-0.12833041661883332,-0.13799150471745947,-0.14765259281608561,-0.15731368091471176,-0.16697476901333794,-0.17663585711196408,-0.18283879481760959,-0.18904173252325512,-0.19524467022890063,-0.20144760793454614,-0.20765054564019167,-0.20978815454432376,-0.21192576344845582,-0.21406337235258788,-0.21620098125671994,-0.21833859016085203,-0.21620163856161984,-0.21406468696238762,-0.2119277353631554,-0.20979078376392321,-0.20765383216469099,-0.20145151544117193,-0.19524919871765292,-0.18904688199413383,-0.18284456527061477,-0.1766422485470957,-0.16698171079225144,-0.15732117303740717,-0.14766063528256285,-0.13800009752771858,-0.12833955977287431,-0.11616646129830735,-0.10399336282374036,-0.091820264349173369,-0.079647165874606532,-0.067474067400039556,-0.053980015834602449,-0.040485964269165342,-0.026991912703728242,-0.013497861138291132,-3.8095728540304423e-06,0.013490284096103561,0.02698437776506115,0.04047847143401874,0.053972565102976336,0.067466658771933918,0.079639881230415099,0.091813103688896142,0.10398632614737732,0.11615954860585852,0.12833277106433968,0.13799350783212108,0.14765424459990245,0.15731498136768379,0.16697571813546519,0.17663645490324656,0.18283903467123902,0.18904161443923148,0.19524419420722394,0.20144677397521632,0.20764935374320878,0.20978661788257119,0.2119238820219336,0.21406114616129598,0.21619841030065842,0.2183356744400208,0.21619841030065842,0.21406114616129601,0.21192388202193363,0.20978661788257119,0.20764935374320881,0.20144677397521635,0.19524419420722389,0.1890416144392314,0.18283903467123894,0.17663645490324648,0.16697571813546513,0.15731498136768376,0.14765424459990265,0.13799350783212128,0.12833277106433993,0.11615954860585875,0.10398632614737757,0.091813103688896391,0.079639881230415197,0.067466658771934016,0.053972565102976433,0.040478471434018837,0.026984377765061254,0.013490284096103661,-3.8095728539234904e-06,-0.013497861138291028,-0.026991912703728131,-0.040485964269165238,-0.053980015834602338,-0.067474067400039445,-0.079647165874606407,-0.091820264349173369,-0.10399336282374032,-0.11616646129830728,-0.12833955977287423,-0.13800009752771858,-0.14766063528256287,-0.157321173037407,-0.16698171079225133,-0.17664224854709565,-0.18284456527061471,-0.18904688199413378,-0.19524919871765284,-0.2014515154411719,-0.20765383216469097,-0.20979078376392318,-0.2119277353631554,-0.21406468696238759,-0.21620163856161981,-0.21833859016085203,-0.21620098125671997,-0.21406337235258788,-0.21192576344845582,-0.20978815454432376,-0.2076505456401917,-0.20144760793454619,-0.19524467022890069,-0.18904173252325518,-0.18283879481760965,-0.17663585711196414,-0.16697476901333796,-0.15731368091471176,-0.14765259281608578,-0.13799150471745961,-0.12833041661883343,-0.1161568688509142,-0.10398332108299496,-0.091809773315075727,-0.079636225547156492,-0.067462677779237257,-0.053968302798899637,-0.04047392781856201,-0.026979552838224386,-0.013485177857886761,9.1971224508582522e-06,0.01350347045589831,0.026997743789345763,0.040492017122793211,0.053986290456240663,0.067480563789688114,0.079653812233960175,0.091827060678232236,0.10400030912250427,0.11617355756677634,0.12834680601104839,0.13800741364994279,0.14766802128883719,0.15732862892773136,0.16698923656662576,0.17664984420552016,0.18285214686563053,0.18905444952574091,0.19525675218585126,0.20145905484596166,0.20766135750607204,0.20979821187158304,0.21193506623709396,0.21407192060260494,0.21620877496811591,0.21834562933362686],"line":{"color":"#ADD8E6","width":4},"showlegend":false,"scene":"scene","inherit":true},"3282c72042cee7.2":{"alpha_stroke":1,"sizes":[10,100],"spans":[1,20],"type":"scatter3d","mode":"lines","x":[0,0.01,0.02,0.029999999999999999,0.040000000000000001,0.050000000000000003,0.059999999999999998,0.070000000000000007,0.080000000000000002,0.089999999999999997,0.10000000000000001,0.11,0.12,0.13,0.14000000000000001,0.14999999999999999,0.16,0.17000000000000001,0.17999999999999999,0.19,0.20000000000000001,0.20999999999999999,0.22,0.23000000000000001,0.23999999999999999,0.25,0.26000000000000001,0.27000000000000002,0.28000000000000003,0.28999999999999998,0.29999999999999999,0.31,0.32000000000000001,0.33000000000000002,0.34000000000000002,0.34999999999999998,0.35999999999999999,0.37,0.38,0.39000000000000001,0.40000000000000002,0.40999999999999998,0.41999999999999998,0.42999999999999999,0.44,0.45000000000000001,0.46000000000000002,0.46999999999999997,0.47999999999999998,0.48999999999999999,0.5,0.51000000000000001,0.52000000000000002,0.53000000000000003,0.54000000000000004,0.55000000000000004,0.56000000000000005,0.56999999999999995,0.57999999999999996,0.58999999999999997,0.59999999999999998,0.60999999999999999,0.62,0.63,0.64000000000000001,0.65000000000000002,0.66000000000000003,0.67000000000000004,0.68000000000000005,0.68999999999999995,0.69999999999999996,0.70999999999999996,0.71999999999999997,0.72999999999999998,0.73999999999999999,0.75,0.76000000000000001,0.77000000000000002,0.78000000000000003,0.79000000000000004,0.80000000000000004,0.81000000000000005,0.81999999999999995,0.82999999999999996,0.83999999999999997,0.84999999999999998,0.85999999999999999,0.87,0.88,0.89000000000000001,0.90000000000000002,0.91000000000000003,0.92000000000000004,0.93000000000000005,0.93999999999999995,0.94999999999999996,0.95999999999999996,0.96999999999999997,0.97999999999999998,0.98999999999999999,1,1.0001570670263213,1.0006281124703467,1.0014126714664966,1.0025099697491828,1.0039189244169164,1.0056381450010008,1.0076659348377568,1.0100002927429257,1.0126389149865966,1.0155791975667106,1.0188182387788958,1.0223528420801009,1.0261795192431966,1.0302944937994349,1.0346937047653684,1.0393728106505509,1.0443271937420644,1.049551964661644,1.0550419671909046,1.0607917833599063,1.066795738794035,1.0730479083139275,1.079542121782906,1.0862719701961592,1.093230812005656,1.1004117796745509,1.1078077864546148,1.1154115333799985,1.1232155164704314,1.1312120341367424,1.1393931947814013,1.1477509245865696,1.1562769754819839,1.164962933284807,1.1738002260034088,1.1827801322968867,1.1918937900819764,1.2011322052788564,1.2104862606872204,1.2199467249838509,1.2295042618328216,1.2391494390993323,1.2488727381580871,1.2586645632870279,1.2685152511371525,1.278415080269073,1.2883542807469031,1.2983230437800031,1.3083115314030722,1.318309886185032,1.3283082409571194,1.3382967285505916,1.3482654915344283,1.3582046919434261,1.3681045209870815,1.3779552087296818,1.3877470337320528,1.397470332645443,1.4071155097480821,1.4166730464149997,1.4261335105117576,1.4354875657028281,1.4447259806654276,1.4538396381997178,1.4628195442263805,1.4716568366626874,1.4803427941683052,1.4888688447522032,1.4972265742321775,1.5054077345386261,1.5134042518544009,1.5212082345826889,1.5288119811350651,1.5362079875320305,1.5433889548085309,1.5503477962171559,1.5570776442219019,1.5635718572755992,1.5698240263743186,1.5758279813822822,1.5815777971210425,1.5870677992169184,1.5922925697009165,1.5972469523556097,1.6019260578037033,1.6063252683332594,1.6104402424548192,1.6142669191859293,1.6178015220588422,1.6210405628474307,1.6239808450096487,1.6266194668421301,1.6289538243438193,1.6309816137858075,1.6327008339848326,1.634109788278207,1.6352070861982173,1.635991644844349,1.6364626899519779,1.6366197566564762,1.6364626899519772,1.6359916448443472,1.6352070861982146,1.6341097882782034,1.6327008339848281,1.6309816137858018,1.6289538243438126,1.6266194668421219,1.6239808450096398,1.6210405628474205,1.6178015220588304,1.6142669191859162,1.610440242454805,1.6063252683332438,1.6019260578036867,1.5972469523555917,1.5922925697008974,1.5870677992168984,1.5815777971210212,1.5758279813822602,1.5698240263742953,1.5635718572755748,1.5570776442218759,1.550347796217129,1.5433889548085025,1.5362079875320009,1.5288119811350342,1.5212082345826565,1.5134042518543673,1.5054077345385921,1.4972265742321433,1.4888688447521685,1.4803427941682694,1.4716568366626512,1.4628195442263436,1.4538396381996805,1.4447259806653905,1.4354875657027908,1.4261335105117199,1.4166730464149608,1.4071155097480432,1.3974703326454037,1.3877470337320137,1.3779552087296425,1.3681045209870419,1.3582046919433863,1.3482654915343881,1.3382967285505512,1.3283082409570803,1.3183098861849925,1.3083115314030334,1.2983230437799647,1.2883542807468644,1.2784150802690342,1.2685152511371123,1.2586645632869882,1.2488727381580478,1.2391494390992923,1.2295042618327818,1.2199467249838125,1.2104862606871825,1.2011322052788191,1.1918937900819404,1.1827801322968519,1.173800226003374,1.1649629332847729,1.1562769754819513,1.1477509245865374,1.13939319478137,1.131212034136712,1.1232155164704012,1.1154115333799695,1.1078077864545861,1.1004117796745227,1.0932308120056284,1.0862719701961325,1.0795421217828809,1.0730479083139035,1.0667957387940117,1.0607917833598846,1.0550419671908848,1.0495519646616254,1.0443271937420471,1.0393728106505351,1.0346937047653539,1.0302944937994223,1.0261795192431853,1.0223528420800909,1.0188182387788869,1.0155791975667028,1.0126389149865902,1.0100002927429201,1.0076659348377526,1.0056381450009977,1.0039189244169142,1.0025099697491815,1.0014126714664957,1.0006281124703462,1.0001570670263211,1],"y":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-0.0099983551373498888,-0.019986843085858921,-0.029955606414171092,-0.039894807156767249,-0.049794636522848525,-0.059645324576427933,-0.069437149878076948,-0.079160449078811548,-0.088805626456650549,-0.098363163386433708,-0.10782362773355453,-0.11717768316233802,-0.12641609834987574,-0.13552975609622614,-0.14450966232198917,-0.15334695494437647,-0.16203291262301595,-0.17055896336686072,-0.1789166929937091,-0.18709785343398522,-0.19509437087058731,-0.2028983537067694,-0.21050210035419403,-0.21789810683346886,-0.22507907417966791,-0.23203791564552759,-0.23876776369521011,-0.24526197678173126,-0.25151414590136478,-0.2575181009185542,-0.26326791665509147,-0.26875791873755123,-0.27398268919721169,-0.27893707181693478,-0.28361617721973004,-0.28801538769397755,-0.29213036175055207,-0.29595703840734716,-0.29949164119697452,-0.30273068189367996,-0.30567096395580096,-0.30830958568036648,-0.31064394306672727,-0.3126717323863894,-0.31439095245651533,-0.31579990661485002,-0.31689720439412067,-0.31768176289425992,-0.31815280785109673,-0.31830987440046188,-0.3181528075369518,-0.31768176226690015,-0.31689720345540517,-0.31579990536756336,-0.3143909509043632,-0.3126717305339925,-0.31064394091961378,-0.30830958324496255,-0.30567096123942067,-0.302730678904513,-0.29949163794407263,-0.29595703490060921,-0.29213035800070741,-0.28801538371256902,-0.28361617301909381,-0.27893706741018093,-0.27398268459820146,-0.26875791396087512,-0.26326791171604313,-0.25751809583310609,-0.25151414068614181,-0.24526197145398207,-0.23876775827277902,-0.23203791014682326,-0.22507906862363344,-0.21789810123954942,-0.21050209474230322,-0.20289834809725657,-0.19509436528420157,-0.18709784789184114,-0.17891668751725012,-0.17055895797782161,-0.16203290734338549,-0.15334694979636004,-0.1445096573279693,-0.13552975127872294,-0.12641609373150892,-0.11717767876578532,-0.10782362358151219,-0.098363159501575911,-0.088805622861587843,-0.079160445796051387,-0.069437146929982305,-0.059645321985175227,-0.049794634310388636,-0.039894805344783416,-0.029955605024038344,-0.019986842138604289,-0.0099983546536117421,1.1950049240080918e-14,0.009998354653636906,0.019986842138630747,0.029955605024065836,0.039894805344811587,0.049794634310417703,0.059645321985205564,0.069437146930012766,0.079160445796082599,0.088805622861619193,0.098363159501607567,0.10782362358154511,0.11717767876581843,0.1264160937315417,0.1355297512787563,0.14450965732800214,0.15334694979639263,0.16203290734341766,0.17055895797785331,0.17891668751728118,0.18709784789187128,0.19509436528423152,0.20289834809728605,0.21050209474233283,0.2178981012395782,0.22507906862366189,0.2320379101468511,0.23876775827280633,0.2452619714540088,0.25151414068616773,0.25751809583313079,0.26326791171606634,0.2687579139608971,0.27398268459822256,0.2789370674102008,0.28361617301911263,0.28801538371258639,0.29213035800072351,0.29595703490062397,0.29949163794408612,0.30273067890452554,0.30567096123943194,0.3083095832449726,0.3106439409196225,0.31267173053399999,0.31439095090436947,0.31579990536756841,0.31689720345540895,0.31768176226690265,0.31815280753695296,0.31830987440046182,0.31815280785109551,0.31768176289425748,0.31689720439411706,0.31579990661484508,0.31439095245650894,0.3126717323863818,0.31064394306671855,0.30830958568035627,0.30567096395578941,0.30273068189366747,0.29949164119696092,0.2959570384073324,0.29213036175053653,0.28801538769396112,0.28361617721971238,0.27893707181691602,0.27398268919719243,0.2687579187375308,0.26326791665507004,0.25751810091853194,0.25151414590134152,0.24526197678170716,0.23876776369518476,0.23203791564550097,0.2250790741796404,0.21789810683344044,0.21050210035416575,0.20289835370674028,0.19509437087055728,0.18709785343395552,0.17891669299367985,0.17055896336683155,0.16203291262298658,0.15334695494434772,0.14450966232196086,0.13552975609619911,0.12641609834984927,0.11717768316231239,0.1078236277335294,0.098363163386409699,0.088805626456628289,0.07916044907879051,0.069437149878057672,0.059645324576411328,0.049794636522834446,0.03989480715675596,0.029955606414162565,0.019986843085853231,0.0099983551373470075,0],"z":[0.018474926419112917,0.018294080967230834,0.018113235515348752,0.017932390063466665,0.017751544611584583,0.017570699159702496,0.017045865216902732,0.016521031274102968,0.015996197331303207,0.015471363388503443,0.014946529445703681,0.014129081415016762,0.013311633384329847,0.012494185353642929,0.011676737322956012,0.010859289292269095,0.009829244682395771,0.0087992000725224482,0.0077691554626491272,0.0067391108527758026,0.0057090662429024799,0.0045672529969494301,0.0034254397509963772,0.0022836265050433253,0.0011418132590902753,1.3137222838695028e-11,-0.0011418132329610229,-0.0022836264790592688,-0.0034254397251575145,-0.0045672529712557546,-0.0057090662173539999,-0.0067391108276548799,-0.00776915543795576,-0.0087992000482566401,-0.0098292446585575202,-0.010859289268858395,-0.011676737300231603,-0.012494185331604811,-0.013311633362978019,-0.014129081394351227,-0.014946529425724435,-0.0154713633694313,-0.015996197313138165,-0.016521031256845033,-0.017045865200551902,-0.017570699144258767,-0.01775154459721864,-0.017932390050178507,-0.01811323550313838,-0.018294080956098253,-0.018474926409058123,-0.018294080958364954,-0.018113235507671781,-0.017932390056978612,-0.01775154460628544,-0.01757069915559227,-0.017045865214026845,-0.016521031272461427,-0.015996197330896002,-0.015471363389330575,-0.01494652944776515,-0.01412908141828979,-0.013311633388814428,-0.01249418535933907,-0.011676737329863709,-0.010859289300388349,-0.0098292446916368442,-0.008799200082885341,-0.0077691554741338379,-0.0067391108653823443,-0.0057090662566308403,-0.0045672530116478852,-0.0034254397666649288,-0.0022836265216819736,-0.0011418132766990176,-3.1716062211773614e-11,0.0011418132136174204,0.0022836264589509033,0.0034254397042843853,0.0045672529496178687,0.0057090661949513507,0.0067391108047350663,0.0077691554145187681,0.008799200024302482,0.0098292446340861976,0.010859289243869912,0.011676737275002127,0.012494185306134342,0.013311633337266555,0.014129081368398771,0.014946529399530986,0.015471363343286353,0.015996197287041717,0.016521031230797081,0.017045865174552442,0.017570699118307807,0.017751544571602988,0.017932390024898166,0.018113235478193344,0.018294080931488526,0.018474926384783704,0.018294080933892724,0.018113235483001745,0.017932390032110765,0.017751544581219782,0.017570699130328802,0.01704586518884478,0.016521031247360759,0.015996197305876737,0.015471363364392716,0.014946529422908694,0.014129081393789451,0.013311633364670207,0.012494185335550963,0.011676737306431718,0.010859289277312476,0.0098292446691721266,0.0087992000610317769,0.0077691554528914308,0.006739110844751082,0.0057090662366107324,0.0045672529924601938,0.0034254397483096523,0.0022836265041591107,0.001141813260008572,1.5858030540255318e-11,-0.0011418132284677748,-0.0022836264727935803,-0.0034254397171193849,-0.0045672529614451838,-0.0057090662057709893,-0.0067391108144274452,-0.0077691554230839002,-0.0087992000317403552,-0.0098292446403968111,-0.010859289249053262,-0.011676737279000933,-0.012494185308948602,-0.013311633338896272,-0.014129081368843943,-0.014946529398791613,-0.015471363341370602,-0.015996197283949593,-0.016521031226528586,-0.017045865169107575,-0.017570699111686568,-0.017751544563878553,-0.017932390016070537,-0.018113235468262524,-0.018294080920454509,-0.018474926372646493,-0.018294080921587859,-0.018113235470529225,-0.017932390019470588,-0.017751544568411954,-0.01757069911735332,-0.017045865175845051,-0.016521031234336785,-0.015996197292828515,-0.015471363351320242,-0.014946529409811971,-0.014129081380813226,-0.01331163335181448,-0.012494185322815732,-0.011676737293816986,-0.01085928926481824,-0.0098292446569364731,-0.0087992000490547031,-0.0077691554411729357,-0.0067391108332911787,-0.0057090662254094112,-0.0045672529816412517,-0.0034254397378730922,-0.0022836264941049332,-0.0011418132503367734,-6.568614247504944e-12,0.0011418132372721418,0.0022836264811128978,0.0034254397249536541,0.0045672529687944101,0.005709066212635166,0.0067391108207307121,0.007769155428826246,0.0087992000369217904,0.0098292446450173373,0.010859289253112882,0.011676737282454774,0.01249418531179667,0.013311633341138562,0.014129081370480454,0.014946529399822347,0.015471363341784171,0.015996197283745992,0.016521031225707816,0.017045865167669632,0.017570699109631455,0.017751544561228984,0.01793239001282651,0.018113235464424039,0.018294080916021568,0.018474926367619098,0.018294080916021568,0.018113235464424043,0.017932390012826514,0.017751544561228988,0.017570699109631459,0.017045865167669635,0.016521031225707812,0.015996197283745989,0.015471363341784164,0.01494652939982234,0.01412908137048045,0.013311633341138558,0.012494185311796687,0.011676737282454795,0.010859289253112905,0.0098292446450173598,0.0087992000369218129,0.0077691554288262677,0.0067391108207307199,0.0057090662126351747,0.0045672529687944188,0.0034254397249536628,0.0022836264811129069,0.0011418132372721505,-6.5686051974011713e-12,-0.0011418132503367648,-0.002283626494104924,-0.0034254397378730836,-0.0045672529816412431,-0.0057090662254094026,-0.0067391108332911683,-0.0077691554411729348,-0.0087992000490547014,-0.0098292446569364662,-0.010859289264818233,-0.011676737293816984,-0.012494185322815734,-0.013311633351814466,-0.014129081380813216,-0.014946529409811966,-0.015471363351320237,-0.015996197292828508,-0.016521031234336778,-0.017045865175845051,-0.01757069911735332,-0.017751544568411957,-0.017932390019470588,-0.018113235470529225,-0.018294080921587859,-0.018474926372646493,-0.018294080920454509,-0.018113235468262524,-0.01793239001607054,-0.017751544563878556,-0.017570699111686572,-0.017045865169107582,-0.01652103122652859,-0.0159961972839496,-0.015471363341370609,-0.014946529398791618,-0.014129081368843945,-0.013311633338896272,-0.012494185308948616,-0.011676737279000943,-0.010859289249053269,-0.0098292446403968146,-0.0087992000317403604,-0.0077691554230839063,-0.0067391108144274521,-0.005709066205770998,-0.0045672529614451942,-0.0034254397171193901,-0.0022836264727935864,-0.001141813228467782,1.5858021490151535e-11,0.0011418132600085622,0.0022836265041591029,0.0034254397483096432,0.0045672529924601843,0.0057090662366107246,0.0067391108447510742,0.0077691554528914238,0.0087992000610317735,0.0098292446691721248,0.010859289277312473,0.01167673730643172,0.012494185335550967,0.013311633364670193,0.014129081393789442,0.014946529422908687,0.015471363364392711,0.01599619730587673,0.016521031247360755,0.017045865188844777,0.017570699130328802,0.017751544581219782,0.017932390032110765,0.018113235483001741,0.018294080933892724,0.018474926384783704],"line":{"color":"#566CF2","width":4},"showlegend":false,"scene":"scene","inherit":true},"3282c72042cee7.3":{"alpha_stroke":1,"sizes":[10,100],"spans":[1,20],"type":"scatter3d","mode":"lines","x":[0,0.01,0.02,0.029999999999999999,0.040000000000000001,0.050000000000000003,0.059999999999999998,0.070000000000000007,0.080000000000000002,0.089999999999999997,0.10000000000000001,0.11,0.12,0.13,0.14000000000000001,0.14999999999999999,0.16,0.17000000000000001,0.17999999999999999,0.19,0.20000000000000001,0.20999999999999999,0.22,0.23000000000000001,0.23999999999999999,0.25,0.26000000000000001,0.27000000000000002,0.28000000000000003,0.28999999999999998,0.29999999999999999,0.31,0.32000000000000001,0.33000000000000002,0.34000000000000002,0.34999999999999998,0.35999999999999999,0.37,0.38,0.39000000000000001,0.40000000000000002,0.40999999999999998,0.41999999999999998,0.42999999999999999,0.44,0.45000000000000001,0.46000000000000002,0.46999999999999997,0.47999999999999998,0.48999999999999999,0.5,0.51000000000000001,0.52000000000000002,0.53000000000000003,0.54000000000000004,0.55000000000000004,0.56000000000000005,0.56999999999999995,0.57999999999999996,0.58999999999999997,0.59999999999999998,0.60999999999999999,0.62,0.63,0.64000000000000001,0.65000000000000002,0.66000000000000003,0.67000000000000004,0.68000000000000005,0.68999999999999995,0.69999999999999996,0.70999999999999996,0.71999999999999997,0.72999999999999998,0.73999999999999999,0.75,0.76000000000000001,0.77000000000000002,0.78000000000000003,0.79000000000000004,0.80000000000000004,0.81000000000000005,0.81999999999999995,0.82999999999999996,0.83999999999999997,0.84999999999999998,0.85999999999999999,0.87,0.88,0.89000000000000001,0.90000000000000002,0.91000000000000003,0.92000000000000004,0.93000000000000005,0.93999999999999995,0.94999999999999996,0.95999999999999996,0.96999999999999997,0.97999999999999998,0.98999999999999999,1,1.0001570670263213,1.0006281124703467,1.0014126714664966,1.0025099697491828,1.0039189244169164,1.0056381450010008,1.0076659348377568,1.0100002927429257,1.0126389149865966,1.0155791975667106,1.0188182387788958,1.0223528420801009,1.0261795192431966,1.0302944937994349,1.0346937047653684,1.0393728106505509,1.0443271937420644,1.049551964661644,1.0550419671909046,1.0607917833599063,1.066795738794035,1.0730479083139275,1.079542121782906,1.0862719701961592,1.093230812005656,1.1004117796745509,1.1078077864546148,1.1154115333799985,1.1232155164704314,1.1312120341367424,1.1393931947814013,1.1477509245865696,1.1562769754819839,1.164962933284807,1.1738002260034088,1.1827801322968867,1.1918937900819764,1.2011322052788564,1.2104862606872204,1.2199467249838509,1.2295042618328216,1.2391494390993323,1.2488727381580871,1.2586645632870279,1.2685152511371525,1.278415080269073,1.2883542807469031,1.2983230437800031,1.3083115314030722,1.318309886185032,1.3283082409571194,1.3382967285505916,1.3482654915344283,1.3582046919434261,1.3681045209870815,1.3779552087296818,1.3877470337320528,1.397470332645443,1.4071155097480821,1.4166730464149997,1.4261335105117576,1.4354875657028281,1.4447259806654276,1.4538396381997178,1.4628195442263805,1.4716568366626874,1.4803427941683052,1.4888688447522032,1.4972265742321775,1.5054077345386261,1.5134042518544009,1.5212082345826889,1.5288119811350651,1.5362079875320305,1.5433889548085309,1.5503477962171559,1.5570776442219019,1.5635718572755992,1.5698240263743186,1.5758279813822822,1.5815777971210425,1.5870677992169184,1.5922925697009165,1.5972469523556097,1.6019260578037033,1.6063252683332594,1.6104402424548192,1.6142669191859293,1.6178015220588422,1.6210405628474307,1.6239808450096487,1.6266194668421301,1.6289538243438193,1.6309816137858075,1.6327008339848326,1.634109788278207,1.6352070861982173,1.635991644844349,1.6364626899519779,1.6366197566564762,1.6364626899519772,1.6359916448443472,1.6352070861982146,1.6341097882782034,1.6327008339848281,1.6309816137858018,1.6289538243438126,1.6266194668421219,1.6239808450096398,1.6210405628474205,1.6178015220588304,1.6142669191859162,1.610440242454805,1.6063252683332438,1.6019260578036867,1.5972469523555917,1.5922925697008974,1.5870677992168984,1.5815777971210212,1.5758279813822602,1.5698240263742953,1.5635718572755748,1.5570776442218759,1.550347796217129,1.5433889548085025,1.5362079875320009,1.5288119811350342,1.5212082345826565,1.5134042518543673,1.5054077345385921,1.4972265742321433,1.4888688447521685,1.4803427941682694,1.4716568366626512,1.4628195442263436,1.4538396381996805,1.4447259806653905,1.4354875657027908,1.4261335105117199,1.4166730464149608,1.4071155097480432,1.3974703326454037,1.3877470337320137,1.3779552087296425,1.3681045209870419,1.3582046919433863,1.3482654915343881,1.3382967285505512,1.3283082409570803,1.3183098861849925,1.3083115314030334,1.2983230437799647,1.2883542807468644,1.2784150802690342,1.2685152511371123,1.2586645632869882,1.2488727381580478,1.2391494390992923,1.2295042618327818,1.2199467249838125,1.2104862606871825,1.2011322052788191,1.1918937900819404,1.1827801322968519,1.173800226003374,1.1649629332847729,1.1562769754819513,1.1477509245865374,1.13939319478137,1.131212034136712,1.1232155164704012,1.1154115333799695,1.1078077864545861,1.1004117796745227,1.0932308120056284,1.0862719701961325,1.0795421217828809,1.0730479083139035,1.0667957387940117,1.0607917833598846,1.0550419671908848,1.0495519646616254,1.0443271937420471,1.0393728106505351,1.0346937047653539,1.0302944937994223,1.0261795192431853,1.0223528420800909,1.0188182387788869,1.0155791975667028,1.0126389149865902,1.0100002927429201,1.0076659348377526,1.0056381450009977,1.0039189244169142,1.0025099697491815,1.0014126714664957,1.0006281124703462,1.0001570670263211,1],"y":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-0.0099983551373498888,-0.019986843085858921,-0.029955606414171092,-0.039894807156767249,-0.049794636522848525,-0.059645324576427933,-0.069437149878076948,-0.079160449078811548,-0.088805626456650549,-0.098363163386433708,-0.10782362773355453,-0.11717768316233802,-0.12641609834987574,-0.13552975609622614,-0.14450966232198917,-0.15334695494437647,-0.16203291262301595,-0.17055896336686072,-0.1789166929937091,-0.18709785343398522,-0.19509437087058731,-0.2028983537067694,-0.21050210035419403,-0.21789810683346886,-0.22507907417966791,-0.23203791564552759,-0.23876776369521011,-0.24526197678173126,-0.25151414590136478,-0.2575181009185542,-0.26326791665509147,-0.26875791873755123,-0.27398268919721169,-0.27893707181693478,-0.28361617721973004,-0.28801538769397755,-0.29213036175055207,-0.29595703840734716,-0.29949164119697452,-0.30273068189367996,-0.30567096395580096,-0.30830958568036648,-0.31064394306672727,-0.3126717323863894,-0.31439095245651533,-0.31579990661485002,-0.31689720439412067,-0.31768176289425992,-0.31815280785109673,-0.31830987440046188,-0.3181528075369518,-0.31768176226690015,-0.31689720345540517,-0.31579990536756336,-0.3143909509043632,-0.3126717305339925,-0.31064394091961378,-0.30830958324496255,-0.30567096123942067,-0.302730678904513,-0.29949163794407263,-0.29595703490060921,-0.29213035800070741,-0.28801538371256902,-0.28361617301909381,-0.27893706741018093,-0.27398268459820146,-0.26875791396087512,-0.26326791171604313,-0.25751809583310609,-0.25151414068614181,-0.24526197145398207,-0.23876775827277902,-0.23203791014682326,-0.22507906862363344,-0.21789810123954942,-0.21050209474230322,-0.20289834809725657,-0.19509436528420157,-0.18709784789184114,-0.17891668751725012,-0.17055895797782161,-0.16203290734338549,-0.15334694979636004,-0.1445096573279693,-0.13552975127872294,-0.12641609373150892,-0.11717767876578532,-0.10782362358151219,-0.098363159501575911,-0.088805622861587843,-0.079160445796051387,-0.069437146929982305,-0.059645321985175227,-0.049794634310388636,-0.039894805344783416,-0.029955605024038344,-0.019986842138604289,-0.0099983546536117421,1.1950049240080918e-14,0.009998354653636906,0.019986842138630747,0.029955605024065836,0.039894805344811587,0.049794634310417703,0.059645321985205564,0.069437146930012766,0.079160445796082599,0.088805622861619193,0.098363159501607567,0.10782362358154511,0.11717767876581843,0.1264160937315417,0.1355297512787563,0.14450965732800214,0.15334694979639263,0.16203290734341766,0.17055895797785331,0.17891668751728118,0.18709784789187128,0.19509436528423152,0.20289834809728605,0.21050209474233283,0.2178981012395782,0.22507906862366189,0.2320379101468511,0.23876775827280633,0.2452619714540088,0.25151414068616773,0.25751809583313079,0.26326791171606634,0.2687579139608971,0.27398268459822256,0.2789370674102008,0.28361617301911263,0.28801538371258639,0.29213035800072351,0.29595703490062397,0.29949163794408612,0.30273067890452554,0.30567096123943194,0.3083095832449726,0.3106439409196225,0.31267173053399999,0.31439095090436947,0.31579990536756841,0.31689720345540895,0.31768176226690265,0.31815280753695296,0.31830987440046182,0.31815280785109551,0.31768176289425748,0.31689720439411706,0.31579990661484508,0.31439095245650894,0.3126717323863818,0.31064394306671855,0.30830958568035627,0.30567096395578941,0.30273068189366747,0.29949164119696092,0.2959570384073324,0.29213036175053653,0.28801538769396112,0.28361617721971238,0.27893707181691602,0.27398268919719243,0.2687579187375308,0.26326791665507004,0.25751810091853194,0.25151414590134152,0.24526197678170716,0.23876776369518476,0.23203791564550097,0.2250790741796404,0.21789810683344044,0.21050210035416575,0.20289835370674028,0.19509437087055728,0.18709785343395552,0.17891669299367985,0.17055896336683155,0.16203291262298658,0.15334695494434772,0.14450966232196086,0.13552975609619911,0.12641609834984927,0.11717768316231239,0.1078236277335294,0.098363163386409699,0.088805626456628289,0.07916044907879051,0.069437149878057672,0.059645324576411328,0.049794636522834446,0.03989480715675596,0.029955606414162565,0.019986843085853231,0.0099983551373470075,0],"z":[-0.21834562917361483,-0.21620831002491819,-0.21407099087622153,-0.21193367172752486,-0.20979635257882823,-0.20765903343013156,-0.20145629167389417,-0.19525354991765681,-0.18905080816141945,-0.18284806640518209,-0.1766453246489447,-0.16698432786531014,-0.15732333108167559,-0.14766233429804104,-0.13800133751440646,-0.12834034073077194,-0.116166774597045,-0.10399320846331805,-0.091819642329591153,-0.079646076195864196,-0.067472510062137267,-0.053978008049709834,-0.04048350603728236,-0.026989004024854893,-0.013494502012427459,9.2818850718250438e-18,0.013494502012427485,0.026989004024854962,0.040483506037282437,0.053978008049709834,0.067472510062137309,0.079646076195864252,0.091819642329591195,0.10399320846331814,0.11616677459704509,0.12834034073077197,0.13800133751440652,0.14766233429804104,0.15732333108167562,0.16698432786531014,0.1766453246489447,0.18284806640518206,0.18905080816141945,0.19525354991765681,0.2014562916738942,0.20765903343013159,0.20979635257882825,0.21193367172752486,0.21407099087622153,0.21620831002491817,0.21834562917361483,0.21620831002491819,0.2140709908762215,0.21193367172752486,0.20979635257882823,0.20765903343013156,0.20145629167389417,0.19525354991765687,0.18905080816141948,0.18284806640518209,0.1766453246489447,0.16698432786531014,0.15732333108167562,0.14766233429804104,0.13800133751440652,0.12834034073077197,0.11616677459704501,0.10399320846331804,0.091819642329591084,0.079646076195864252,0.067472510062137281,0.053978008049709827,0.04048350603728236,0.026989004024854903,0.013494502012427441,-1.4576597230804246e-17,-0.013494502012427474,-0.026989004024854935,-0.040483506037282388,-0.053978008049709848,-0.067472510062137309,-0.079646076195864279,-0.091819642329591084,-0.10399320846331805,-0.11616677459704502,-0.12834034073077197,-0.13800133751440655,-0.1476623342980411,-0.15732333108167562,-0.1669843278653102,-0.17664532464894475,-0.18284806640518214,-0.18905080816141953,-0.19525354991765692,-0.20145629167389423,-0.20765903343013162,-0.20979635257882828,-0.21193367172752492,-0.21407099087622158,-0.21620831002491825,-0.21834562917361489,-0.21620831002491825,-0.21407099087622158,-0.21193367172752492,-0.20979635257882828,-0.20765903343013162,-0.20145629167389423,-0.19525354991765687,-0.1890508081614195,-0.18284806640518211,-0.17664532464894475,-0.1669843278653102,-0.15732333108167565,-0.14766233429804107,-0.13800133751440652,-0.12834034073077197,-0.11616677459704502,-0.10399320846331808,-0.091819642329591167,-0.079646076195864224,-0.067472510062137281,-0.053978008049709841,-0.040483506037282367,-0.0269890040248549,-0.013494502012427459,1.3973205512284181e-17,0.01349450201242749,0.026989004024854966,0.040483506037282443,0.053978008049709848,0.067472510062137322,0.079646076195864279,0.091819642329591222,0.10399320846331817,0.11616677459704511,0.128340340730772,0.13800133751440655,0.1476623342980411,0.15732333108167565,0.1669843278653102,0.17664532464894475,0.18284806640518211,0.1890508081614195,0.19525354991765687,0.20145629167389426,0.20765903343013165,0.20979635257882831,0.21193367172752495,0.21407099087622161,0.21620831002491825,0.21834562917361491,0.21620831002491828,0.21407099087622161,0.21193367172752497,0.20979635257882828,0.20765903343013165,0.20145629167389428,0.19525354991765692,0.18905080816141953,0.18284806640518214,0.17664532464894475,0.16698432786531023,0.15732333108167565,0.14766233429804113,0.13800133751440657,0.12834034073077202,0.11616677459704507,0.10399320846331808,0.091819642329591139,0.079646076195864293,0.067472510062137336,0.053978008049709876,0.040483506037282416,0.026989004024854952,0.013494502012427486,2.8783591948497779e-17,-0.013494502012427434,-0.026989004024854896,-0.040483506037282353,-0.053978008049709821,-0.067472510062137281,-0.079646076195864252,-0.091819642329591084,-0.10399320846331804,-0.11616677459704501,-0.12834034073077197,-0.13800133751440655,-0.1476623342980411,-0.15732333108167562,-0.1669843278653102,-0.17664532464894475,-0.18284806640518214,-0.18905080816141953,-0.19525354991765692,-0.20145629167389426,-0.20765903343013165,-0.20979635257882831,-0.21193367172752497,-0.21407099087622161,-0.21620831002491828,-0.21834562917361491,-0.2162083100249183,-0.21407099087622161,-0.21193367172752497,-0.20979635257882834,-0.20765903343013167,-0.20145629167389428,-0.19525354991765687,-0.18905080816141948,-0.18284806640518206,-0.17664532464894467,-0.16698432786531014,-0.15732333108167562,-0.14766233429804132,-0.13800133751440677,-0.12834034073077225,-0.11616677459704529,-0.10399320846331829,-0.091819642329591333,-0.079646076195864349,-0.067472510062137378,-0.053978008049709918,-0.040483506037282457,-0.026989004024855,-0.013494502012427535,-7.8174918401615209e-17,0.013494502012427384,0.026989004024854844,0.040483506037282298,0.053978008049709772,0.067472510062137225,0.079646076195864168,0.091819642329591111,0.10399320846331805,0.116166774597045,0.12834034073077194,0.13800133751440655,0.14766233429804115,0.15732333108167551,0.16698432786531009,0.1766453246489447,0.18284806640518209,0.18905080816141945,0.19525354991765687,0.20145629167389423,0.20765903343013162,0.20979635257882828,0.21193367172752495,0.21407099087622158,0.21620831002491828,0.21834562917361491,0.2162083100249183,0.21407099087622161,0.21193367172752497,0.20979635257882834,0.20765903343013167,0.20145629167389431,0.19525354991765692,0.18905080816141956,0.18284806640518217,0.17664532464894481,0.16698432786531026,0.15732333108167562,0.14766233429804126,0.13800133751440669,0.12834034073077211,0.11616677459704518,0.10399320846331822,0.091819642329591306,0.079646076195864363,0.06747251006213742,0.053978008049709959,0.040483506037282499,0.026989004024855042,0.013494502012427578,1.2093171586239713e-16,-0.013494502012427341,-0.026989004024854803,-0.040483506037282263,-0.05397800804970973,-0.067472510062137184,-0.079646076195864141,-0.091819642329591084,-0.10399320846331803,-0.11616677459704497,-0.12834034073077191,-0.13800133751440652,-0.1476623342980411,-0.15732333108167548,-0.16698432786531009,-0.17664532464894467,-0.18284806640518206,-0.18905080816141945,-0.19525354991765681,-0.20145629167389423,-0.20765903343013159,-0.20979635257882828,-0.21193367172752492,-0.21407099087622158,-0.21620831002491825,-0.21834562917361489],"line":{"color":"#0000FF","width":4},"showlegend":false,"scene":"scene","inherit":true},"3282c72042cee7.4":{"alpha_stroke":1,"sizes":[10,100],"spans":[1,20],"type":"scatter3d","mode":"lines","x":[0,0.01,0.02,0.029999999999999999,0.040000000000000001,0.050000000000000003,0.059999999999999998,0.070000000000000007,0.080000000000000002,0.089999999999999997,0.10000000000000001,0.11,0.12,0.13,0.14000000000000001,0.14999999999999999,0.16,0.17000000000000001,0.17999999999999999,0.19,0.20000000000000001,0.20999999999999999,0.22,0.23000000000000001,0.23999999999999999,0.25,0.26000000000000001,0.27000000000000002,0.28000000000000003,0.28999999999999998,0.29999999999999999,0.31,0.32000000000000001,0.33000000000000002,0.34000000000000002,0.34999999999999998,0.35999999999999999,0.37,0.38,0.39000000000000001,0.40000000000000002,0.40999999999999998,0.41999999999999998,0.42999999999999999,0.44,0.45000000000000001,0.46000000000000002,0.46999999999999997,0.47999999999999998,0.48999999999999999,0.5,0.51000000000000001,0.52000000000000002,0.53000000000000003,0.54000000000000004,0.55000000000000004,0.56000000000000005,0.56999999999999995,0.57999999999999996,0.58999999999999997,0.59999999999999998,0.60999999999999999,0.62,0.63,0.64000000000000001,0.65000000000000002,0.66000000000000003,0.67000000000000004,0.68000000000000005,0.68999999999999995,0.69999999999999996,0.70999999999999996,0.71999999999999997,0.72999999999999998,0.73999999999999999,0.75,0.76000000000000001,0.77000000000000002,0.78000000000000003,0.79000000000000004,0.80000000000000004,0.81000000000000005,0.81999999999999995,0.82999999999999996,0.83999999999999997,0.84999999999999998,0.85999999999999999,0.87,0.88,0.89000000000000001,0.90000000000000002,0.91000000000000003,0.92000000000000004,0.93000000000000005,0.93999999999999995,0.94999999999999996,0.95999999999999996,0.96999999999999997,0.97999999999999998,0.98999999999999999,1,1.0001570670263213,1.0006281124703467,1.0014126714664966,1.0025099697491828,1.0039189244169164,1.0056381450010008,1.0076659348377568,1.0100002927429257,1.0126389149865966,1.0155791975667106,1.0188182387788958,1.0223528420801009,1.0261795192431966,1.0302944937994349,1.0346937047653684,1.0393728106505509,1.0443271937420644,1.049551964661644,1.0550419671909046,1.0607917833599063,1.066795738794035,1.0730479083139275,1.079542121782906,1.0862719701961592,1.093230812005656,1.1004117796745509,1.1078077864546148,1.1154115333799985,1.1232155164704314,1.1312120341367424,1.1393931947814013,1.1477509245865696,1.1562769754819839,1.164962933284807,1.1738002260034088,1.1827801322968867,1.1918937900819764,1.2011322052788564,1.2104862606872204,1.2199467249838509,1.2295042618328216,1.2391494390993323,1.2488727381580871,1.2586645632870279,1.2685152511371525,1.278415080269073,1.2883542807469031,1.2983230437800031,1.3083115314030722,1.318309886185032,1.3283082409571194,1.3382967285505916,1.3482654915344283,1.3582046919434261,1.3681045209870815,1.3779552087296818,1.3877470337320528,1.397470332645443,1.4071155097480821,1.4166730464149997,1.4261335105117576,1.4354875657028281,1.4447259806654276,1.4538396381997178,1.4628195442263805,1.4716568366626874,1.4803427941683052,1.4888688447522032,1.4972265742321775,1.5054077345386261,1.5134042518544009,1.5212082345826889,1.5288119811350651,1.5362079875320305,1.5433889548085309,1.5503477962171559,1.5570776442219019,1.5635718572755992,1.5698240263743186,1.5758279813822822,1.5815777971210425,1.5870677992169184,1.5922925697009165,1.5972469523556097,1.6019260578037033,1.6063252683332594,1.6104402424548192,1.6142669191859293,1.6178015220588422,1.6210405628474307,1.6239808450096487,1.6266194668421301,1.6289538243438193,1.6309816137858075,1.6327008339848326,1.634109788278207,1.6352070861982173,1.635991644844349,1.6364626899519779,1.6366197566564762,1.6364626899519772,1.6359916448443472,1.6352070861982146,1.6341097882782034,1.6327008339848281,1.6309816137858018,1.6289538243438126,1.6266194668421219,1.6239808450096398,1.6210405628474205,1.6178015220588304,1.6142669191859162,1.610440242454805,1.6063252683332438,1.6019260578036867,1.5972469523555917,1.5922925697008974,1.5870677992168984,1.5815777971210212,1.5758279813822602,1.5698240263742953,1.5635718572755748,1.5570776442218759,1.550347796217129,1.5433889548085025,1.5362079875320009,1.5288119811350342,1.5212082345826565,1.5134042518543673,1.5054077345385921,1.4972265742321433,1.4888688447521685,1.4803427941682694,1.4716568366626512,1.4628195442263436,1.4538396381996805,1.4447259806653905,1.4354875657027908,1.4261335105117199,1.4166730464149608,1.4071155097480432,1.3974703326454037,1.3877470337320137,1.3779552087296425,1.3681045209870419,1.3582046919433863,1.3482654915343881,1.3382967285505512,1.3283082409570803,1.3183098861849925,1.3083115314030334,1.2983230437799647,1.2883542807468644,1.2784150802690342,1.2685152511371123,1.2586645632869882,1.2488727381580478,1.2391494390992923,1.2295042618327818,1.2199467249838125,1.2104862606871825,1.2011322052788191,1.1918937900819404,1.1827801322968519,1.173800226003374,1.1649629332847729,1.1562769754819513,1.1477509245865374,1.13939319478137,1.131212034136712,1.1232155164704012,1.1154115333799695,1.1078077864545861,1.1004117796745227,1.0932308120056284,1.0862719701961325,1.0795421217828809,1.0730479083139035,1.0667957387940117,1.0607917833598846,1.0550419671908848,1.0495519646616254,1.0443271937420471,1.0393728106505351,1.0346937047653539,1.0302944937994223,1.0261795192431853,1.0223528420800909,1.0188182387788869,1.0155791975667028,1.0126389149865902,1.0100002927429201,1.0076659348377526,1.0056381450009977,1.0039189244169142,1.0025099697491815,1.0014126714664957,1.0006281124703462,1.0001570670263211,1],"y":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-0.0099983551373498888,-0.019986843085858921,-0.029955606414171092,-0.039894807156767249,-0.049794636522848525,-0.059645324576427933,-0.069437149878076948,-0.079160449078811548,-0.088805626456650549,-0.098363163386433708,-0.10782362773355453,-0.11717768316233802,-0.12641609834987574,-0.13552975609622614,-0.14450966232198917,-0.15334695494437647,-0.16203291262301595,-0.17055896336686072,-0.1789166929937091,-0.18709785343398522,-0.19509437087058731,-0.2028983537067694,-0.21050210035419403,-0.21789810683346886,-0.22507907417966791,-0.23203791564552759,-0.23876776369521011,-0.24526197678173126,-0.25151414590136478,-0.2575181009185542,-0.26326791665509147,-0.26875791873755123,-0.27398268919721169,-0.27893707181693478,-0.28361617721973004,-0.28801538769397755,-0.29213036175055207,-0.29595703840734716,-0.29949164119697452,-0.30273068189367996,-0.30567096395580096,-0.30830958568036648,-0.31064394306672727,-0.3126717323863894,-0.31439095245651533,-0.31579990661485002,-0.31689720439412067,-0.31768176289425992,-0.31815280785109673,-0.31830987440046188,-0.3181528075369518,-0.31768176226690015,-0.31689720345540517,-0.31579990536756336,-0.3143909509043632,-0.3126717305339925,-0.31064394091961378,-0.30830958324496255,-0.30567096123942067,-0.302730678904513,-0.29949163794407263,-0.29595703490060921,-0.29213035800070741,-0.28801538371256902,-0.28361617301909381,-0.27893706741018093,-0.27398268459820146,-0.26875791396087512,-0.26326791171604313,-0.25751809583310609,-0.25151414068614181,-0.24526197145398207,-0.23876775827277902,-0.23203791014682326,-0.22507906862363344,-0.21789810123954942,-0.21050209474230322,-0.20289834809725657,-0.19509436528420157,-0.18709784789184114,-0.17891668751725012,-0.17055895797782161,-0.16203290734338549,-0.15334694979636004,-0.1445096573279693,-0.13552975127872294,-0.12641609373150892,-0.11717767876578532,-0.10782362358151219,-0.098363159501575911,-0.088805622861587843,-0.079160445796051387,-0.069437146929982305,-0.059645321985175227,-0.049794634310388636,-0.039894805344783416,-0.029955605024038344,-0.019986842138604289,-0.0099983546536117421,1.1950049240080918e-14,0.009998354653636906,0.019986842138630747,0.029955605024065836,0.039894805344811587,0.049794634310417703,0.059645321985205564,0.069437146930012766,0.079160445796082599,0.088805622861619193,0.098363159501607567,0.10782362358154511,0.11717767876581843,0.1264160937315417,0.1355297512787563,0.14450965732800214,0.15334694979639263,0.16203290734341766,0.17055895797785331,0.17891668751728118,0.18709784789187128,0.19509436528423152,0.20289834809728605,0.21050209474233283,0.2178981012395782,0.22507906862366189,0.2320379101468511,0.23876775827280633,0.2452619714540088,0.25151414068616773,0.25751809583313079,0.26326791171606634,0.2687579139608971,0.27398268459822256,0.2789370674102008,0.28361617301911263,0.28801538371258639,0.29213035800072351,0.29595703490062397,0.29949163794408612,0.30273067890452554,0.30567096123943194,0.3083095832449726,0.3106439409196225,0.31267173053399999,0.31439095090436947,0.31579990536756841,0.31689720345540895,0.31768176226690265,0.31815280753695296,0.31830987440046182,0.31815280785109551,0.31768176289425748,0.31689720439411706,0.31579990661484508,0.31439095245650894,0.3126717323863818,0.31064394306671855,0.30830958568035627,0.30567096395578941,0.30273068189366747,0.29949164119696092,0.2959570384073324,0.29213036175053653,0.28801538769396112,0.28361617721971238,0.27893707181691602,0.27398268919719243,0.2687579187375308,0.26326791665507004,0.25751810091853194,0.25151414590134152,0.24526197678170716,0.23876776369518476,0.23203791564550097,0.2250790741796404,0.21789810683344044,0.21050210035416575,0.20289835370674028,0.19509437087055728,0.18709785343395552,0.17891669299367985,0.17055896336683155,0.16203291262298658,0.15334695494434772,0.14450966232196086,0.13552975609619911,0.12641609834984927,0.11717768316231239,0.1078236277335294,0.098363163386409699,0.088805626456628289,0.07916044907879051,0.069437149878057672,0.059645324576411328,0.049794636522834446,0.03989480715675596,0.029955606414162565,0.019986843085853231,0.0099983551373470075,0],"z":[0.22006860355063945,0.21792484813769725,0.21578109272475504,0.21363733731181281,0.2114935818988706,0.2093498264859284,0.20312782963251763,0.19690583277910689,0.19068383592569615,0.18446183907228542,0.17823984221887468,0.16854695918386609,0.15885407614885749,0.1491611931138489,0.13946831007884031,0.12977542704383171,0.11755774057958618,0.10534005411534067,0.093122367651095189,0.080904681186849653,0.068686994722604144,0.055136856441681009,0.041586718160757853,0.028036579879834697,0.014486441598911567,0.00093630331798840762,-0.012624183017017935,-0.026184669352024275,-0.039745155687030617,-0.053305642022036887,-0.066866128357043225,-0.079114287148422197,-0.091362445939801168,-0.10361060473118014,-0.1158587635225591,-0.128106922313938,-0.13784871804348156,-0.14759051377302512,-0.15733230950256868,-0.16707410523211225,-0.17681590096165581,-0.18310254795371589,-0.189389194945776,-0.1956758419378361,-0.20196248892989624,-0.20824913592195635,-0.21046970634070797,-0.21269027675945953,-0.21491084717821113,-0.21713141759696275,-0.21935198801571434,-0.21729296766629125,-0.21523394731686812,-0.213174926967445,-0.21111590661802188,-0.20905688626859878,-0.20292286206331656,-0.19678883785803433,-0.19065481365275211,-0.18452078944746983,-0.17838676524218758,-0.16878023105737572,-0.15917369687256377,-0.14956716268775189,-0.13996062850294,-0.13035409431812811,-0.11821636125493844,-0.10607862819174876,-0.09394089512855909,-0.081803162065369542,-0.069665429002179868,-0.05618443043550047,-0.042703431868821064,-0.029222433302141672,-0.01574143473546227,-0.0022604361687828746,0.011245544810408303,0.024751525789599483,0.03825750676879066,0.05176348774798184,0.065269468727173013,0.077480768495805291,0.08969206826443743,0.10190336803306971,0.11411466780170199,0.12632596757033426,0.13605058744566467,0.14577520732099508,0.15549982719632552,0.16522444707165593,0.17494906694698636,0.18123917039380519,0.18752927384062404,0.19381937728744286,0.2001094807342616,0.20639958418108045,0.2086440523593224,0.21088852053756429,0.21313298871580624,0.21537745689404819,0.21762192507229011,0.2155488066183332,0.21347568816437629,0.21140256971041937,0.20932945125646246,0.20725633280250552,0.20112811026692801,0.19499988773135055,0.18887166519577309,0.1827434426601956,0.17661522012461811,0.167034066782558,0.15745291344049786,0.14787176009843775,0.13829060675637761,0.1287094534143175,0.11661527781751542,0.10452110222071334,0.092426926623911304,0.080332751027109225,0.068238575430307147,0.054816903961124014,0.04139523249194086,0.027973561022757699,0.01455188955357457,0.0011302180843914096,-0.01230394459104764,-0.02573810726648669,-0.039172269941925734,-0.052606432617364716,-0.066040595292803761,-0.078171554242327163,-0.09030251319185055,-0.10243347214137394,-0.11456443109089734,-0.12669539004042066,-0.13633558622774006,-0.14597578241505943,-0.1556159786023788,-0.16525617478969823,-0.1748963709770176,-0.18110263313336336,-0.18730889528970915,-0.19351515744605491,-0.19972141960240072,-0.20592768175874651,-0.20809352412711285,-0.21025936649547916,-0.21242520886384547,-0.21459105123221184,-0.21675689360057815,-0.21467182626687606,-0.21258675893317397,-0.21050169159947191,-0.20841662426576982,-0.20633155693206773,-0.2002016061691109,-0.19407165540615409,-0.18794170464319723,-0.18181175388024037,-0.17568180311728354,-0.16610923770232999,-0.15653667228737642,-0.14696410687242284,-0.13739154145746929,-0.12781897604251571,-0.11574322995708698,-0.10366748387165821,-0.091591737786229463,-0.079515991700800842,-0.067440245615372096,-0.054045826824096525,-0.04065140803282094,-0.027256989241545369,-0.013862570450269786,-0.00046815165899421405,0.012931441159322949,0.026331033977640111,0.03973062679595727,0.053130219614274436,0.066529812432591595,0.078620794681587058,0.090711776930582383,0.10280275917957785,0.11489374142857331,0.12698472367756877,0.13658174543978982,0.14617876720201084,0.15577578896423189,0.16537281072645293,0.17496983248867398,0.18113210832095555,0.18729438415323707,0.19345665998551864,0.19961893581780013,0.20578121165008167,0.20790468648668847,0.21002816132329527,0.21215163615990207,0.21427511099650887,0.21639858583311566,0.21427511099650889,0.21215163615990212,0.21002816132329535,0.20790468648668858,0.20578121165008181,0.19961893581780027,0.19345665998551873,0.18729438415323718,0.18113210832095564,0.17496983248867409,0.16537281072645299,0.15577578896423191,0.14617876720201103,0.13658174543978996,0.12698472367756886,0.11489374142857342,0.10280275917957798,0.090711776930582549,0.0786207946815871,0.066529812432591665,0.053130219614274499,0.039730626795957333,0.026331033977640167,0.012931441159322998,-0.00046815165899416591,-0.013862570450269745,-0.027256989241545324,-0.040651408032820899,-0.054045826824096484,-0.067440245615372055,-0.079515991700800787,-0.091591737786229505,-0.10366748387165822,-0.11574322995708694,-0.12781897604251566,-0.13739154145746926,-0.14696410687242284,-0.15653667228737622,-0.16610923770232983,-0.1756818031172834,-0.18181175388024029,-0.18794170464319715,-0.19407165540615401,-0.2002016061691109,-0.20633155693206776,-0.20841662426576987,-0.21050169159947196,-0.21258675893317405,-0.21467182626687617,-0.21675689360057826,-0.21459105123221198,-0.21242520886384564,-0.21025936649547933,-0.20809352412711302,-0.20592768175874671,-0.19972141960240092,-0.1935151574460551,-0.18730889528970932,-0.1811026331333635,-0.17489637097701771,-0.16525617478969828,-0.15561597860237886,-0.14597578241505962,-0.1363355862277402,-0.12669539004042077,-0.11456443109089741,-0.10243347214137404,-0.090302513191850675,-0.078171554242327287,-0.066040595292803927,-0.05260643261736489,-0.039172269941925859,-0.025738107266486822,-0.012303944591047786,0.0011302180843912458,0.014551889553574393,0.027973561022757543,0.041395232491940687,0.05481690396112384,0.06823857543030698,0.080332751027109045,0.09242692662391111,0.10452110222071317,0.11661527781751525,0.1287094534143173,0.13829060675637747,0.14787176009843761,0.15745291344049758,0.16703406678255772,0.17661522012461789,0.18274344266019543,0.18887166519577292,0.19499988773135044,0.20112811026692795,0.20725633280250547,0.20932945125646241,0.21140256971041932,0.21347568816437623,0.21554880661833317,0.21762192507229011],"line":{"color":"#FFE4E1","width":4,"dash":"dot"},"showlegend":false,"scene":"scene","inherit":true},"3282c72042cee7.5":{"alpha_stroke":1,"sizes":[10,100],"spans":[1,20],"type":"scatter3d","mode":"lines","x":[0,0.01,0.02,0.029999999999999999,0.040000000000000001,0.050000000000000003,0.059999999999999998,0.070000000000000007,0.080000000000000002,0.089999999999999997,0.10000000000000001,0.11,0.12,0.13,0.14000000000000001,0.14999999999999999,0.16,0.17000000000000001,0.17999999999999999,0.19,0.20000000000000001,0.20999999999999999,0.22,0.23000000000000001,0.23999999999999999,0.25,0.26000000000000001,0.27000000000000002,0.28000000000000003,0.28999999999999998,0.29999999999999999,0.31,0.32000000000000001,0.33000000000000002,0.34000000000000002,0.34999999999999998,0.35999999999999999,0.37,0.38,0.39000000000000001,0.40000000000000002,0.40999999999999998,0.41999999999999998,0.42999999999999999,0.44,0.45000000000000001,0.46000000000000002,0.46999999999999997,0.47999999999999998,0.48999999999999999,0.5,0.51000000000000001,0.52000000000000002,0.53000000000000003,0.54000000000000004,0.55000000000000004,0.56000000000000005,0.56999999999999995,0.57999999999999996,0.58999999999999997,0.59999999999999998,0.60999999999999999,0.62,0.63,0.64000000000000001,0.65000000000000002,0.66000000000000003,0.67000000000000004,0.68000000000000005,0.68999999999999995,0.69999999999999996,0.70999999999999996,0.71999999999999997,0.72999999999999998,0.73999999999999999,0.75,0.76000000000000001,0.77000000000000002,0.78000000000000003,0.79000000000000004,0.80000000000000004,0.81000000000000005,0.81999999999999995,0.82999999999999996,0.83999999999999997,0.84999999999999998,0.85999999999999999,0.87,0.88,0.89000000000000001,0.90000000000000002,0.91000000000000003,0.92000000000000004,0.93000000000000005,0.93999999999999995,0.94999999999999996,0.95999999999999996,0.96999999999999997,0.97999999999999998,0.98999999999999999,1,1.0001570670263213,1.0006281124703467,1.0014126714664966,1.0025099697491828,1.0039189244169164,1.0056381450010008,1.0076659348377568,1.0100002927429257,1.0126389149865966,1.0155791975667106,1.0188182387788958,1.0223528420801009,1.0261795192431966,1.0302944937994349,1.0346937047653684,1.0393728106505509,1.0443271937420644,1.049551964661644,1.0550419671909046,1.0607917833599063,1.066795738794035,1.0730479083139275,1.079542121782906,1.0862719701961592,1.093230812005656,1.1004117796745509,1.1078077864546148,1.1154115333799985,1.1232155164704314,1.1312120341367424,1.1393931947814013,1.1477509245865696,1.1562769754819839,1.164962933284807,1.1738002260034088,1.1827801322968867,1.1918937900819764,1.2011322052788564,1.2104862606872204,1.2199467249838509,1.2295042618328216,1.2391494390993323,1.2488727381580871,1.2586645632870279,1.2685152511371525,1.278415080269073,1.2883542807469031,1.2983230437800031,1.3083115314030722,1.318309886185032,1.3283082409571194,1.3382967285505916,1.3482654915344283,1.3582046919434261,1.3681045209870815,1.3779552087296818,1.3877470337320528,1.397470332645443,1.4071155097480821,1.4166730464149997,1.4261335105117576,1.4354875657028281,1.4447259806654276,1.4538396381997178,1.4628195442263805,1.4716568366626874,1.4803427941683052,1.4888688447522032,1.4972265742321775,1.5054077345386261,1.5134042518544009,1.5212082345826889,1.5288119811350651,1.5362079875320305,1.5433889548085309,1.5503477962171559,1.5570776442219019,1.5635718572755992,1.5698240263743186,1.5758279813822822,1.5815777971210425,1.5870677992169184,1.5922925697009165,1.5972469523556097,1.6019260578037033,1.6063252683332594,1.6104402424548192,1.6142669191859293,1.6178015220588422,1.6210405628474307,1.6239808450096487,1.6266194668421301,1.6289538243438193,1.6309816137858075,1.6327008339848326,1.634109788278207,1.6352070861982173,1.635991644844349,1.6364626899519779,1.6366197566564762,1.6364626899519772,1.6359916448443472,1.6352070861982146,1.6341097882782034,1.6327008339848281,1.6309816137858018,1.6289538243438126,1.6266194668421219,1.6239808450096398,1.6210405628474205,1.6178015220588304,1.6142669191859162,1.610440242454805,1.6063252683332438,1.6019260578036867,1.5972469523555917,1.5922925697008974,1.5870677992168984,1.5815777971210212,1.5758279813822602,1.5698240263742953,1.5635718572755748,1.5570776442218759,1.550347796217129,1.5433889548085025,1.5362079875320009,1.5288119811350342,1.5212082345826565,1.5134042518543673,1.5054077345385921,1.4972265742321433,1.4888688447521685,1.4803427941682694,1.4716568366626512,1.4628195442263436,1.4538396381996805,1.4447259806653905,1.4354875657027908,1.4261335105117199,1.4166730464149608,1.4071155097480432,1.3974703326454037,1.3877470337320137,1.3779552087296425,1.3681045209870419,1.3582046919433863,1.3482654915343881,1.3382967285505512,1.3283082409570803,1.3183098861849925,1.3083115314030334,1.2983230437799647,1.2883542807468644,1.2784150802690342,1.2685152511371123,1.2586645632869882,1.2488727381580478,1.2391494390992923,1.2295042618327818,1.2199467249838125,1.2104862606871825,1.2011322052788191,1.1918937900819404,1.1827801322968519,1.173800226003374,1.1649629332847729,1.1562769754819513,1.1477509245865374,1.13939319478137,1.131212034136712,1.1232155164704012,1.1154115333799695,1.1078077864545861,1.1004117796745227,1.0932308120056284,1.0862719701961325,1.0795421217828809,1.0730479083139035,1.0667957387940117,1.0607917833598846,1.0550419671908848,1.0495519646616254,1.0443271937420471,1.0393728106505351,1.0346937047653539,1.0302944937994223,1.0261795192431853,1.0223528420800909,1.0188182387788869,1.0155791975667028,1.0126389149865902,1.0100002927429201,1.0076659348377526,1.0056381450009977,1.0039189244169142,1.0025099697491815,1.0014126714664957,1.0006281124703462,1.0001570670263211,1],"y":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-0.0099983551373498888,-0.019986843085858921,-0.029955606414171092,-0.039894807156767249,-0.049794636522848525,-0.059645324576427933,-0.069437149878076948,-0.079160449078811548,-0.088805626456650549,-0.098363163386433708,-0.10782362773355453,-0.11717768316233802,-0.12641609834987574,-0.13552975609622614,-0.14450966232198917,-0.15334695494437647,-0.16203291262301595,-0.17055896336686072,-0.1789166929937091,-0.18709785343398522,-0.19509437087058731,-0.2028983537067694,-0.21050210035419403,-0.21789810683346886,-0.22507907417966791,-0.23203791564552759,-0.23876776369521011,-0.24526197678173126,-0.25151414590136478,-0.2575181009185542,-0.26326791665509147,-0.26875791873755123,-0.27398268919721169,-0.27893707181693478,-0.28361617721973004,-0.28801538769397755,-0.29213036175055207,-0.29595703840734716,-0.29949164119697452,-0.30273068189367996,-0.30567096395580096,-0.30830958568036648,-0.31064394306672727,-0.3126717323863894,-0.31439095245651533,-0.31579990661485002,-0.31689720439412067,-0.31768176289425992,-0.31815280785109673,-0.31830987440046188,-0.3181528075369518,-0.31768176226690015,-0.31689720345540517,-0.31579990536756336,-0.3143909509043632,-0.3126717305339925,-0.31064394091961378,-0.30830958324496255,-0.30567096123942067,-0.302730678904513,-0.29949163794407263,-0.29595703490060921,-0.29213035800070741,-0.28801538371256902,-0.28361617301909381,-0.27893706741018093,-0.27398268459820146,-0.26875791396087512,-0.26326791171604313,-0.25751809583310609,-0.25151414068614181,-0.24526197145398207,-0.23876775827277902,-0.23203791014682326,-0.22507906862363344,-0.21789810123954942,-0.21050209474230322,-0.20289834809725657,-0.19509436528420157,-0.18709784789184114,-0.17891668751725012,-0.17055895797782161,-0.16203290734338549,-0.15334694979636004,-0.1445096573279693,-0.13552975127872294,-0.12641609373150892,-0.11717767876578532,-0.10782362358151219,-0.098363159501575911,-0.088805622861587843,-0.079160445796051387,-0.069437146929982305,-0.059645321985175227,-0.049794634310388636,-0.039894805344783416,-0.029955605024038344,-0.019986842138604289,-0.0099983546536117421,1.1950049240080918e-14,0.009998354653636906,0.019986842138630747,0.029955605024065836,0.039894805344811587,0.049794634310417703,0.059645321985205564,0.069437146930012766,0.079160445796082599,0.088805622861619193,0.098363159501607567,0.10782362358154511,0.11717767876581843,0.1264160937315417,0.1355297512787563,0.14450965732800214,0.15334694979639263,0.16203290734341766,0.17055895797785331,0.17891668751728118,0.18709784789187128,0.19509436528423152,0.20289834809728605,0.21050209474233283,0.2178981012395782,0.22507906862366189,0.2320379101468511,0.23876775827280633,0.2452619714540088,0.25151414068616773,0.25751809583313079,0.26326791171606634,0.2687579139608971,0.27398268459822256,0.2789370674102008,0.28361617301911263,0.28801538371258639,0.29213035800072351,0.29595703490062397,0.29949163794408612,0.30273067890452554,0.30567096123943194,0.3083095832449726,0.3106439409196225,0.31267173053399999,0.31439095090436947,0.31579990536756841,0.31689720345540895,0.31768176226690265,0.31815280753695296,0.31830987440046182,0.31815280785109551,0.31768176289425748,0.31689720439411706,0.31579990661484508,0.31439095245650894,0.3126717323863818,0.31064394306671855,0.30830958568035627,0.30567096395578941,0.30273068189366747,0.29949164119696092,0.2959570384073324,0.29213036175053653,0.28801538769396112,0.28361617721971238,0.27893707181691602,0.27398268919719243,0.2687579187375308,0.26326791665507004,0.25751810091853194,0.25151414590134152,0.24526197678170716,0.23876776369518476,0.23203791564550097,0.2250790741796404,0.21789810683344044,0.21050210035416575,0.20289835370674028,0.19509437087055728,0.18709785343395552,0.17891669299367985,0.17055896336683155,0.16203291262298658,0.15334695494434772,0.14450966232196086,0.13552975609619911,0.12641609834984927,0.11717768316231239,0.1078236277335294,0.098363163386409699,0.088805626456628289,0.07916044907879051,0.069437149878057672,0.059645324576411328,0.049794636522834446,0.03989480715675596,0.029955606414162565,0.019986843085853231,0.0099983551373470075,0],"z":[0.018124110966087556,0.017946701750013516,0.017769292533939478,0.017591883317865438,0.017414474101791397,0.017237064885717357,0.016722203165529338,0.016207341445341319,0.015692479725153301,0.015177618004965284,0.014662756284777265,0.013860839953294322,0.01305892362181138,0.012257007290328433,0.01145509095884549,0.010653174627362547,0.0096427002651686376,0.0086322259029747283,0.0076217515407808242,0.0066112771785869148,0.0056008028163930055,0.0044806819315089492,0.0033605610466248899,0.002240440161740831,0.0011203192768567743,1.9839197271512583e-07,-0.0011199246855457439,-0.0022400477630642028,-0.0033601708405826616,-0.0044802939181011149,-0.0056004169956195733,-0.0066108978145513562,-0.007621378633483139,-0.0086318594524149202,-0.0096423402713467048,-0.010652821090278481,-0.011454747785802409,-0.012256674481326337,-0.013058601176850263,-0.013860527872374191,-0.014662454567898119,-0.015177329986711674,-0.015692205405525232,-0.01620708082433879,-0.016721956243152349,-0.017236831661965907,-0.017414257154261818,-0.017591682646557725,-0.017769108138853636,-0.017946533631149543,-0.018123959123445454,-0.017946567861762998,-0.017769176600080538,-0.017591785338398083,-0.017414394076715627,-0.017237002815033167,-0.016722159735243908,-0.016207316655454655,-0.015692473575665396,-0.01517763049587614,-0.01466278741608688,-0.013860889380938476,-0.013058991345790069,-0.012257093310641662,-0.011455195275493258,-0.010653297240344851,-0.0096428398193628955,-0.0086323823983809368,-0.0076219249773989816,-0.0066114675564170359,-0.0056010101354350798,-0.0044809039004663227,-0.0033607976654975642,-0.002240691430528807,-0.0011205851955600487,-4.789605912914044e-07,0.0011196325678651713,0.0022397440963216339,0.0033598556247780966,0.0044799671532345592,0.0056000786816910219,0.00661055169061712,0.007621024699543206,0.0086314977084693042,0.0096419707173954015,0.010652443726321499,0.01145436678247821,0.012256289838634919,0.013058212894791629,0.01386013595094834,0.014662059007105049,0.015176935158301871,0.015691811309498691,0.016206687460695507,0.016721563611892323,0.017236439763089143,0.017413870319047176,0.017591300875005211,0.01776873143096324,0.017946161986921276,0.018123592542879308,0.017946198293969619,0.017768804045059934,0.017591409796150245,0.017414015547240556,0.017236621298330868,0.016721779447849118,0.016206937597367372,0.015692095746885626,0.015177253896403876,0.014662412045922129,0.013860519388684243,0.013058626731446355,0.012256734074208471,0.011454841416970583,0.010652948759732698,0.0096425005680800847,0.0086320523764274737,0.0076216041847748627,0.0066111559931222499,0.005600707801469638,0.0044806141372348354,0.003360520473000029,0.0022404268087652239,0.0011203331445304207,2.3948029561511298e-07,-0.0011198568306830432,-0.0022399531416617017,-0.00336004945264036,-0.0044801457636190123,-0.0056002420745976701,-0.0066106980602223565,-0.0076211540458470412,-0.0086316100314717259,-0.0096420660170964123,-0.01065252200272109,-0.011454427170463129,-0.012256332338205167,-0.013058237505947205,-0.013860142673689246,-0.014662047841431283,-0.015176906227616811,-0.015691764613802339,-0.016206622999987871,-0.016721481386173402,-0.01723633977235893,-0.017413753668406411,-0.017591167564453888,-0.017768581460501368,-0.017945995356548845,-0.018123409252596326,-0.017946012471855573,-0.01776861569111482,-0.017591218910374067,-0.01741382212963331,-0.017236425348892557,-0.016721583132219178,-0.0162067409155458,-0.015691898698872421,-0.015177056482199039,-0.014662214265525659,-0.013860323427971381,-0.013058432590417101,-0.012256541752862823,-0.011454650915308544,-0.010652760077754266,-0.0096423157911044929,-0.0086318715044547169,-0.0076214272178049443,-0.0066109829311551804,-0.0056005386445054069,-0.0044804507548015984,-0.0033603628650977907,-0.0022402749753939826,-0.0011201870856901741,-9.9195986366067456e-08,0.0011199897900346419,0.0022400787760556498,0.0033601677620766581,0.0044802567480976664,0.0056003457341186743,0.0066107932491373854,0.0076212407641560844,0.0086316882791747946,0.009642135794193504,0.010652583309212215,0.011454479328786986,0.012256375348361756,0.013058271367936525,0.013860167387511295,0.014662063407086066,0.015176912473072219,0.015691761539058369,0.016206610605044521,0.016721459671030666,0.017236308737016818,0.017413713655868506,0.017591118574720194,0.017768523493571886,0.017945928412423574,0.018123333331275263,0.017945928412423574,0.017768523493571886,0.017591118574720198,0.01741371365586851,0.017236308737016821,0.016721459671030673,0.016206610605044525,0.015691761539058373,0.015176912473072223,0.014662063407086073,0.0138601673875113,0.013058271367936525,0.01225637534836177,0.011454479328786998,0.010652583309212224,0.0096421357941935161,0.0086316882791748067,0.0076212407641560991,0.0066107932491373906,0.005600345734118683,0.0044802567480976743,0.0033601677620766655,0.0022400787760556568,0.0011199897900346478,-9.919598636069597e-08,-0.0011201870856901695,-0.0022402749753939783,-0.0033603628650977868,-0.0044804507548015958,-0.0056005386445054043,-0.0066109829311551769,-0.0076214272178049486,-0.0086318715044547203,-0.0096423157911044929,-0.010652760077754266,-0.01145465091530855,-0.01225654175286283,-0.013058432590417095,-0.01386032342797138,-0.014662214265525662,-0.015177056482199044,-0.015691898698872424,-0.016206740915545807,-0.016721583132219185,-0.017236425348892567,-0.017413822129633324,-0.01759121891037408,-0.017768615691114834,-0.01794601247185559,-0.018123409252596343,-0.017945995356548866,-0.017768581460501386,-0.017591167564453912,-0.017413753668406431,-0.017236339772358954,-0.016721481386173423,-0.016206622999987895,-0.015691764613802364,-0.015176906227616832,-0.014662047841431302,-0.013860142673689263,-0.013058237505947222,-0.012256332338205198,-0.011454427170463157,-0.010652522002721116,-0.0096420660170964314,-0.0086316100314717467,-0.0076211540458470638,-0.0066106980602223782,-0.0056002420745976944,-0.0044801457636190374,-0.0033600494526403804,-0.002239953141661723,-0.0011198568306830658,2.3948029559110579e-07,0.0011203331445303957,0.0022404268087652004,0.0033605204730000051,0.0044806141372348094,0.0056007078014696145,0.0066111559931222273,0.0076216041847748418,0.0086320523764274546,0.0096425005680800674,0.010652948759732682,0.011454841416970573,0.012256734074208462,0.013058626731446334,0.013860519388684225,0.014662412045922115,0.015177253896403864,0.015692095746885612,0.016206937597367362,0.016721779447849108,0.017236621298330857,0.017414015547240549,0.017591409796150238,0.017768804045059927,0.017946198293969619,0.018123592542879308],"line":{"color":"#FF7270","width":4,"dash":"dot"},"showlegend":false,"scene":"scene","inherit":true},"3282c72042cee7.6":{"alpha_stroke":1,"sizes":[10,100],"spans":[1,20],"type":"scatter3d","mode":"lines","x":[0,0.01,0.02,0.029999999999999999,0.040000000000000001,0.050000000000000003,0.059999999999999998,0.070000000000000007,0.080000000000000002,0.089999999999999997,0.10000000000000001,0.11,0.12,0.13,0.14000000000000001,0.14999999999999999,0.16,0.17000000000000001,0.17999999999999999,0.19,0.20000000000000001,0.20999999999999999,0.22,0.23000000000000001,0.23999999999999999,0.25,0.26000000000000001,0.27000000000000002,0.28000000000000003,0.28999999999999998,0.29999999999999999,0.31,0.32000000000000001,0.33000000000000002,0.34000000000000002,0.34999999999999998,0.35999999999999999,0.37,0.38,0.39000000000000001,0.40000000000000002,0.40999999999999998,0.41999999999999998,0.42999999999999999,0.44,0.45000000000000001,0.46000000000000002,0.46999999999999997,0.47999999999999998,0.48999999999999999,0.5,0.51000000000000001,0.52000000000000002,0.53000000000000003,0.54000000000000004,0.55000000000000004,0.56000000000000005,0.56999999999999995,0.57999999999999996,0.58999999999999997,0.59999999999999998,0.60999999999999999,0.62,0.63,0.64000000000000001,0.65000000000000002,0.66000000000000003,0.67000000000000004,0.68000000000000005,0.68999999999999995,0.69999999999999996,0.70999999999999996,0.71999999999999997,0.72999999999999998,0.73999999999999999,0.75,0.76000000000000001,0.77000000000000002,0.78000000000000003,0.79000000000000004,0.80000000000000004,0.81000000000000005,0.81999999999999995,0.82999999999999996,0.83999999999999997,0.84999999999999998,0.85999999999999999,0.87,0.88,0.89000000000000001,0.90000000000000002,0.91000000000000003,0.92000000000000004,0.93000000000000005,0.93999999999999995,0.94999999999999996,0.95999999999999996,0.96999999999999997,0.97999999999999998,0.98999999999999999,1,1.0001570670263213,1.0006281124703467,1.0014126714664966,1.0025099697491828,1.0039189244169164,1.0056381450010008,1.0076659348377568,1.0100002927429257,1.0126389149865966,1.0155791975667106,1.0188182387788958,1.0223528420801009,1.0261795192431966,1.0302944937994349,1.0346937047653684,1.0393728106505509,1.0443271937420644,1.049551964661644,1.0550419671909046,1.0607917833599063,1.066795738794035,1.0730479083139275,1.079542121782906,1.0862719701961592,1.093230812005656,1.1004117796745509,1.1078077864546148,1.1154115333799985,1.1232155164704314,1.1312120341367424,1.1393931947814013,1.1477509245865696,1.1562769754819839,1.164962933284807,1.1738002260034088,1.1827801322968867,1.1918937900819764,1.2011322052788564,1.2104862606872204,1.2199467249838509,1.2295042618328216,1.2391494390993323,1.2488727381580871,1.2586645632870279,1.2685152511371525,1.278415080269073,1.2883542807469031,1.2983230437800031,1.3083115314030722,1.318309886185032,1.3283082409571194,1.3382967285505916,1.3482654915344283,1.3582046919434261,1.3681045209870815,1.3779552087296818,1.3877470337320528,1.397470332645443,1.4071155097480821,1.4166730464149997,1.4261335105117576,1.4354875657028281,1.4447259806654276,1.4538396381997178,1.4628195442263805,1.4716568366626874,1.4803427941683052,1.4888688447522032,1.4972265742321775,1.5054077345386261,1.5134042518544009,1.5212082345826889,1.5288119811350651,1.5362079875320305,1.5433889548085309,1.5503477962171559,1.5570776442219019,1.5635718572755992,1.5698240263743186,1.5758279813822822,1.5815777971210425,1.5870677992169184,1.5922925697009165,1.5972469523556097,1.6019260578037033,1.6063252683332594,1.6104402424548192,1.6142669191859293,1.6178015220588422,1.6210405628474307,1.6239808450096487,1.6266194668421301,1.6289538243438193,1.6309816137858075,1.6327008339848326,1.634109788278207,1.6352070861982173,1.635991644844349,1.6364626899519779,1.6366197566564762,1.6364626899519772,1.6359916448443472,1.6352070861982146,1.6341097882782034,1.6327008339848281,1.6309816137858018,1.6289538243438126,1.6266194668421219,1.6239808450096398,1.6210405628474205,1.6178015220588304,1.6142669191859162,1.610440242454805,1.6063252683332438,1.6019260578036867,1.5972469523555917,1.5922925697008974,1.5870677992168984,1.5815777971210212,1.5758279813822602,1.5698240263742953,1.5635718572755748,1.5570776442218759,1.550347796217129,1.5433889548085025,1.5362079875320009,1.5288119811350342,1.5212082345826565,1.5134042518543673,1.5054077345385921,1.4972265742321433,1.4888688447521685,1.4803427941682694,1.4716568366626512,1.4628195442263436,1.4538396381996805,1.4447259806653905,1.4354875657027908,1.4261335105117199,1.4166730464149608,1.4071155097480432,1.3974703326454037,1.3877470337320137,1.3779552087296425,1.3681045209870419,1.3582046919433863,1.3482654915343881,1.3382967285505512,1.3283082409570803,1.3183098861849925,1.3083115314030334,1.2983230437799647,1.2883542807468644,1.2784150802690342,1.2685152511371123,1.2586645632869882,1.2488727381580478,1.2391494390992923,1.2295042618327818,1.2199467249838125,1.2104862606871825,1.2011322052788191,1.1918937900819404,1.1827801322968519,1.173800226003374,1.1649629332847729,1.1562769754819513,1.1477509245865374,1.13939319478137,1.131212034136712,1.1232155164704012,1.1154115333799695,1.1078077864545861,1.1004117796745227,1.0932308120056284,1.0862719701961325,1.0795421217828809,1.0730479083139035,1.0667957387940117,1.0607917833598846,1.0550419671908848,1.0495519646616254,1.0443271937420471,1.0393728106505351,1.0346937047653539,1.0302944937994223,1.0261795192431853,1.0223528420800909,1.0188182387788869,1.0155791975667028,1.0126389149865902,1.0100002927429201,1.0076659348377526,1.0056381450009977,1.0039189244169142,1.0025099697491815,1.0014126714664957,1.0006281124703462,1.0001570670263211,1],"y":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-0.0099983551373498888,-0.019986843085858921,-0.029955606414171092,-0.039894807156767249,-0.049794636522848525,-0.059645324576427933,-0.069437149878076948,-0.079160449078811548,-0.088805626456650549,-0.098363163386433708,-0.10782362773355453,-0.11717768316233802,-0.12641609834987574,-0.13552975609622614,-0.14450966232198917,-0.15334695494437647,-0.16203291262301595,-0.17055896336686072,-0.1789166929937091,-0.18709785343398522,-0.19509437087058731,-0.2028983537067694,-0.21050210035419403,-0.21789810683346886,-0.22507907417966791,-0.23203791564552759,-0.23876776369521011,-0.24526197678173126,-0.25151414590136478,-0.2575181009185542,-0.26326791665509147,-0.26875791873755123,-0.27398268919721169,-0.27893707181693478,-0.28361617721973004,-0.28801538769397755,-0.29213036175055207,-0.29595703840734716,-0.29949164119697452,-0.30273068189367996,-0.30567096395580096,-0.30830958568036648,-0.31064394306672727,-0.3126717323863894,-0.31439095245651533,-0.31579990661485002,-0.31689720439412067,-0.31768176289425992,-0.31815280785109673,-0.31830987440046188,-0.3181528075369518,-0.31768176226690015,-0.31689720345540517,-0.31579990536756336,-0.3143909509043632,-0.3126717305339925,-0.31064394091961378,-0.30830958324496255,-0.30567096123942067,-0.302730678904513,-0.29949163794407263,-0.29595703490060921,-0.29213035800070741,-0.28801538371256902,-0.28361617301909381,-0.27893706741018093,-0.27398268459820146,-0.26875791396087512,-0.26326791171604313,-0.25751809583310609,-0.25151414068614181,-0.24526197145398207,-0.23876775827277902,-0.23203791014682326,-0.22507906862363344,-0.21789810123954942,-0.21050209474230322,-0.20289834809725657,-0.19509436528420157,-0.18709784789184114,-0.17891668751725012,-0.17055895797782161,-0.16203290734338549,-0.15334694979636004,-0.1445096573279693,-0.13552975127872294,-0.12641609373150892,-0.11717767876578532,-0.10782362358151219,-0.098363159501575911,-0.088805622861587843,-0.079160445796051387,-0.069437146929982305,-0.059645321985175227,-0.049794634310388636,-0.039894805344783416,-0.029955605024038344,-0.019986842138604289,-0.0099983546536117421,1.1950049240080918e-14,0.009998354653636906,0.019986842138630747,0.029955605024065836,0.039894805344811587,0.049794634310417703,0.059645321985205564,0.069437146930012766,0.079160445796082599,0.088805622861619193,0.098363159501607567,0.10782362358154511,0.11717767876581843,0.1264160937315417,0.1355297512787563,0.14450965732800214,0.15334694979639263,0.16203290734341766,0.17055895797785331,0.17891668751728118,0.18709784789187128,0.19509436528423152,0.20289834809728605,0.21050209474233283,0.2178981012395782,0.22507906862366189,0.2320379101468511,0.23876775827280633,0.2452619714540088,0.25151414068616773,0.25751809583313079,0.26326791171606634,0.2687579139608971,0.27398268459822256,0.2789370674102008,0.28361617301911263,0.28801538371258639,0.29213035800072351,0.29595703490062397,0.29949163794408612,0.30273067890452554,0.30567096123943194,0.3083095832449726,0.3106439409196225,0.31267173053399999,0.31439095090436947,0.31579990536756841,0.31689720345540895,0.31768176226690265,0.31815280753695296,0.31830987440046182,0.31815280785109551,0.31768176289425748,0.31689720439411706,0.31579990661484508,0.31439095245650894,0.3126717323863818,0.31064394306671855,0.30830958568035627,0.30567096395578941,0.30273068189366747,0.29949164119696092,0.2959570384073324,0.29213036175053653,0.28801538769396112,0.28361617721971238,0.27893707181691602,0.27398268919719243,0.2687579187375308,0.26326791665507004,0.25751810091853194,0.25151414590134152,0.24526197678170716,0.23876776369518476,0.23203791564550097,0.2250790741796404,0.21789810683344044,0.21050210035416575,0.20289835370674028,0.19509437087055728,0.18709785343395552,0.17891669299367985,0.17055896336683155,0.16203291262298658,0.15334695494434772,0.14450966232196086,0.13552975609619911,0.12641609834984927,0.11717768316231239,0.1078236277335294,0.098363163386409699,0.088805626456628289,0.07916044907879051,0.069437149878057672,0.059645324576411328,0.049794636522834446,0.03989480715675596,0.029955606414162565,0.019986843085853231,0.0099983551373470075,0],"z":[-0.21762144041414,-0.21549121012912481,-0.21336097984410965,-0.21123074955909443,-0.20910051927407927,-0.20697028898906408,-0.20078811991652884,-0.19460595084399357,-0.18842378177145835,-0.18224161269892311,-0.17605944362638787,-0.16643048954893322,-0.15680153547147857,-0.14717258139402389,-0.13754362731656924,-0.12791467323911462,-0.1157814832708321,-0.10364829330254957,-0.091515103334267101,-0.079381913365984574,-0.067248723397702062,-0.053798978709754253,-0.040349234021806409,-0.026899489333858571,-0.01344974464591076,4.2037079396295813e-11,0.013449744729520329,0.02689948941700358,0.040349234104486827,0.053798978791970001,0.067248723479453251,0.079381913446367677,0.09151510341328209,0.10364829338019652,0.11578148334711094,0.12791467331402528,0.13754362738928391,0.14717258146454254,0.15680153553980117,0.1664304896150598,0.17605944369031842,0.18224161275995107,0.18842378182958375,0.1946059508992164,0.20078811996884907,0.20697028903848175,0.20910051932004819,0.21123074960161464,0.21336097988318109,0.21549121016474754,0.21762144044631399,0.21549121015749448,0.21336097986867494,0.21123074957985544,0.2091005192910359,0.2069702890022164,0.20078811992573145,0.19460595084924659,0.18842378177276164,0.18224161269627667,0.17605944361979173,0.16643048953846029,0.15680153545712883,0.14717258137579739,0.13754362729446593,0.12791467321313449,0.11578148324126231,0.10364829326939012,0.091515103297517941,0.079381913325645884,0.067248723353773701,0.053798978662721729,0.040349233971669757,0.026899489280617781,0.0134497445895658,-1.0148617161974393e-10,-0.013449744791416517,-0.02689948948134686,-0.040349234171277198,-0.053798978861207554,-0.067248723551137896,-0.079381913519707178,-0.091515103488276323,-0.10364829345684559,-0.11578148342541489,-0.12791467339398416,-0.13754362747001392,-0.14717258154604368,-0.15680153562207344,-0.1664304896981032,-0.17605944377413296,-0.18224161284361046,-0.18842378191308795,-0.19460595098256542,-0.20078812005204286,-0.20697028912152032,-0.20910051940201385,-0.21123074968250732,-0.21336097996300085,-0.21549121024349435,-0.21762144052398785,-0.21549121023580131,-0.21336097994761477,-0.21123074965942823,-0.20910051937124169,-0.20697028908305515,-0.20078812000630974,-0.19460595092956434,-0.18842378185281899,-0.18224161277607359,-0.17605944369932819,-0.16643048961685722,-0.15680153553438628,-0.14717258145191531,-0.13754362736944437,-0.12791467328697342,-0.11578148331314567,-0.10364829333931791,-0.091515103365490208,-0.079381913391662451,-0.067248723417834708,-0.053798978724119158,-0.04034923403040358,-0.026899489336687999,-0.013449744642972449,5.0743129073764846e-11,0.013449744743897898,0.026899489437052667,0.040349234130207433,0.053798978823362126,0.067248723516516895,0.079381913488693209,0.091515103460869524,0.10364829343304582,0.11578148340522214,0.12791467337739837,0.13754362745721849,0.1471725815370386,0.15680153561685872,0.16643048969667881,0.17605944377649893,0.18224161284974061,0.18842378192298226,0.19460595099622396,0.20078812006946567,0.20697028914270735,0.20910051942673091,0.21123074971075445,0.21336097999477799,0.21549121027880153,0.21762144056282509,0.21549121027517501,0.2133609799875249,0.21123074969987482,0.20910051941222471,0.20697028912457463,0.20078812004790683,0.19460595097123906,0.18842378189457126,0.18224161281790344,0.17605944374123561,0.16643048965837909,0.15680153557552257,0.14717258149266602,0.13754362740980949,0.12791467332695297,0.11578148335229778,0.10364829337764256,0.091515103402987366,0.079381913428332285,0.067248723453677092,0.053798978758737966,0.040349234063798832,0.026899489368859709,0.013449744673920572,-2.1018554260003521e-11,-0.013449744715725387,-0.026899489410432218,-0.040349234105139048,-0.053798978799845888,-0.067248723494552715,-0.079381913468523871,-0.091515103442494874,-0.10364829341646602,-0.11578148339043717,-0.12791467336440832,-0.13754362744616683,-0.14717258152792534,-0.15680153560968382,-0.16643048969144233,-0.17605944377320082,-0.18224161284841739,-0.1884237819236339,-0.19460595099885047,-0.20078812007406693,-0.20697028914928348,-0.20910051943520921,-0.21123074972113492,-0.21336098000706066,-0.2154912102929864,-0.21762144057891211,-0.21549121029298643,-0.21336098000706072,-0.21123074972113498,-0.2091005194352093,-0.20697028914928359,-0.20078812007406707,-0.1946059509988505,-0.18842378192363399,-0.18224161284841744,-0.1760594437732009,-0.16643048969144236,-0.1568015356096838,-0.14717258152792545,-0.13754362744616688,-0.12791467336440834,-0.11578148339043723,-0.10364829341646611,-0.091515103442494999,-0.079381913468523885,-0.06724872349455277,-0.053798978799845937,-0.040349234105139097,-0.026899489410432263,-0.013449744715725425,-2.1018593305968154e-11,0.013449744673920539,0.026899489368859671,0.040349234063798804,0.053798978758737931,0.067248723453677064,0.079381913428332243,0.091515103402987422,0.10364829337764259,0.11578148335229778,0.12791467332695294,0.13754362740980952,0.14717258149266607,0.1568015355755224,0.16643048965837895,0.17605944374123553,0.18224161281790335,0.18842378189457121,0.19460595097123901,0.20078812004790686,0.20697028912457469,0.20910051941222479,0.21123074969987488,0.21336097998752498,0.21549121027517509,0.2176214405628252,0.21549121027880166,0.2133609799947781,0.21123074971075459,0.20910051942673105,0.20697028914270751,0.20078812006946584,0.19460595099622413,0.18842378192298245,0.18224161284974075,0.17605944377649907,0.16643048969667892,0.15680153561685875,0.14717258153703883,0.13754362745721865,0.12791467337739851,0.11578148340522222,0.10364829343304593,0.091515103460869648,0.079381913488693362,0.067248723516517075,0.05379897882336232,0.040349234130207565,0.026899489437052813,0.013449744743898054,5.0743302508103812e-11,-0.013449744642972267,-0.026899489336687836,-0.040349234030403407,-0.053798978724118977,-0.067248723417834541,-0.079381913391662284,-0.091515103365490041,-0.10364829333931777,-0.11578148331314553,-0.12791467328697326,-0.13754362736944425,-0.14717258145191522,-0.15680153553438597,-0.16643048961685694,-0.17605944369932794,-0.18224161277607337,-0.18842378185281877,-0.19460595092956418,-0.20078812000630963,-0.20697028908305504,-0.20910051937124163,-0.21123074965942817,-0.21336097994761474,-0.21549121023580131,-0.21762144052398785],"line":{"color":"#FF0000","width":4,"dash":"dot"},"showlegend":false,"scene":"scene","inherit":true},"3282c72042cee7.7":{"alpha_stroke":1,"sizes":[10,100],"spans":[1,20],"type":"heatmap","z":[[0.5,1,1.5]],"showscale":true,"colorscale":[[0,"#ADD8E6"],[0.5,"#566CF2"],[1,"#0000FF"]],"colorbar":{"title":{"font":{"size":12,"color":"black"},"text":"Time","side":"top"},"len":0.90000000000000002,"thickness":15,"x":1.02,"xanchor":"left","y":0.5,"yanchor":"middle","tickvals":null,"ticktext":null,"ticks":""},"x":[[0.5,1,1.5]],"y":[[1]],"hoverinfo":"skip","opacity":0,"inherit":true},"3282c72042cee7.8":{"alpha_stroke":1,"sizes":[10,100],"spans":[1,20],"type":"heatmap","z":[[0.5,1,1.5]],"showscale":true,"colorscale":[[0,"#FFE4E1"],[0.5,"#FF7270"],[1,"#FF0000"]],"colorbar":{"title":{"font":{"size":12,"color":"black"},"text":".","side":"top"},"len":0.90000000000000002,"thickness":15,"x":1.05,"xanchor":"left","y":0.5,"yanchor":"middle"},"x":[[0.5,1,1.5]],"y":[[1]],"hoverinfo":"skip","opacity":0,"inherit":true},"3282c72042cee7.9":{"alpha_stroke":1,"sizes":[10,100],"spans":[1,20],"x":[0,0.01,0.02,0.029999999999999999,0.040000000000000001,0.050000000000000003,0.059999999999999998,0.070000000000000007,0.080000000000000002,0.089999999999999997,0.10000000000000001,0.11,0.12,0.13,0.14000000000000001,0.14999999999999999,0.16,0.17000000000000001,0.17999999999999999,0.19,0.20000000000000001,0.20999999999999999,0.22,0.23000000000000001,0.23999999999999999,0.25,0.26000000000000001,0.27000000000000002,0.28000000000000003,0.28999999999999998,0.29999999999999999,0.31,0.32000000000000001,0.33000000000000002,0.34000000000000002,0.34999999999999998,0.35999999999999999,0.37,0.38,0.39000000000000001,0.40000000000000002,0.40999999999999998,0.41999999999999998,0.42999999999999999,0.44,0.45000000000000001,0.46000000000000002,0.46999999999999997,0.47999999999999998,0.48999999999999999,0.5,0.51000000000000001,0.52000000000000002,0.53000000000000003,0.54000000000000004,0.55000000000000004,0.56000000000000005,0.56999999999999995,0.57999999999999996,0.58999999999999997,0.59999999999999998,0.60999999999999999,0.62,0.63,0.64000000000000001,0.65000000000000002,0.66000000000000003,0.67000000000000004,0.68000000000000005,0.68999999999999995,0.69999999999999996,0.70999999999999996,0.71999999999999997,0.72999999999999998,0.73999999999999999,0.75,0.76000000000000001,0.77000000000000002,0.78000000000000003,0.79000000000000004,0.80000000000000004,0.81000000000000005,0.81999999999999995,0.82999999999999996,0.83999999999999997,0.84999999999999998,0.85999999999999999,0.87,0.88,0.89000000000000001,0.90000000000000002,0.91000000000000003,0.92000000000000004,0.93000000000000005,0.93999999999999995,0.94999999999999996,0.95999999999999996,0.96999999999999997,0.97999999999999998,0.98999999999999999,1,1.0001570670263213,1.0006281124703467,1.0014126714664966,1.0025099697491828,1.0039189244169164,1.0056381450010008,1.0076659348377568,1.0100002927429257,1.0126389149865966,1.0155791975667106,1.0188182387788958,1.0223528420801009,1.0261795192431966,1.0302944937994349,1.0346937047653684,1.0393728106505509,1.0443271937420644,1.049551964661644,1.0550419671909046,1.0607917833599063,1.066795738794035,1.0730479083139275,1.079542121782906,1.0862719701961592,1.093230812005656,1.1004117796745509,1.1078077864546148,1.1154115333799985,1.1232155164704314,1.1312120341367424,1.1393931947814013,1.1477509245865696,1.1562769754819839,1.164962933284807,1.1738002260034088,1.1827801322968867,1.1918937900819764,1.2011322052788564,1.2104862606872204,1.2199467249838509,1.2295042618328216,1.2391494390993323,1.2488727381580871,1.2586645632870279,1.2685152511371525,1.278415080269073,1.2883542807469031,1.2983230437800031,1.3083115314030722,1.318309886185032,1.3283082409571194,1.3382967285505916,1.3482654915344283,1.3582046919434261,1.3681045209870815,1.3779552087296818,1.3877470337320528,1.397470332645443,1.4071155097480821,1.4166730464149997,1.4261335105117576,1.4354875657028281,1.4447259806654276,1.4538396381997178,1.4628195442263805,1.4716568366626874,1.4803427941683052,1.4888688447522032,1.4972265742321775,1.5054077345386261,1.5134042518544009,1.5212082345826889,1.5288119811350651,1.5362079875320305,1.5433889548085309,1.5503477962171559,1.5570776442219019,1.5635718572755992,1.5698240263743186,1.5758279813822822,1.5815777971210425,1.5870677992169184,1.5922925697009165,1.5972469523556097,1.6019260578037033,1.6063252683332594,1.6104402424548192,1.6142669191859293,1.6178015220588422,1.6210405628474307,1.6239808450096487,1.6266194668421301,1.6289538243438193,1.6309816137858075,1.6327008339848326,1.634109788278207,1.6352070861982173,1.635991644844349,1.6364626899519779,1.6366197566564762,1.6364626899519772,1.6359916448443472,1.6352070861982146,1.6341097882782034,1.6327008339848281,1.6309816137858018,1.6289538243438126,1.6266194668421219,1.6239808450096398,1.6210405628474205,1.6178015220588304,1.6142669191859162,1.610440242454805,1.6063252683332438,1.6019260578036867,1.5972469523555917,1.5922925697008974,1.5870677992168984,1.5815777971210212,1.5758279813822602,1.5698240263742953,1.5635718572755748,1.5570776442218759,1.550347796217129,1.5433889548085025,1.5362079875320009,1.5288119811350342,1.5212082345826565,1.5134042518543673,1.5054077345385921,1.4972265742321433,1.4888688447521685,1.4803427941682694,1.4716568366626512,1.4628195442263436,1.4538396381996805,1.4447259806653905,1.4354875657027908,1.4261335105117199,1.4166730464149608,1.4071155097480432,1.3974703326454037,1.3877470337320137,1.3779552087296425,1.3681045209870419,1.3582046919433863,1.3482654915343881,1.3382967285505512,1.3283082409570803,1.3183098861849925,1.3083115314030334,1.2983230437799647,1.2883542807468644,1.2784150802690342,1.2685152511371123,1.2586645632869882,1.2488727381580478,1.2391494390992923,1.2295042618327818,1.2199467249838125,1.2104862606871825,1.2011322052788191,1.1918937900819404,1.1827801322968519,1.173800226003374,1.1649629332847729,1.1562769754819513,1.1477509245865374,1.13939319478137,1.131212034136712,1.1232155164704012,1.1154115333799695,1.1078077864545861,1.1004117796745227,1.0932308120056284,1.0862719701961325,1.0795421217828809,1.0730479083139035,1.0667957387940117,1.0607917833598846,1.0550419671908848,1.0495519646616254,1.0443271937420471,1.0393728106505351,1.0346937047653539,1.0302944937994223,1.0261795192431853,1.0223528420800909,1.0188182387788869,1.0155791975667028,1.0126389149865902,1.0100002927429201,1.0076659348377526,1.0056381450009977,1.0039189244169142,1.0025099697491815,1.0014126714664957,1.0006281124703462,1.0001570670263211,1],"y":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-0.0099983551373498888,-0.019986843085858921,-0.029955606414171092,-0.039894807156767249,-0.049794636522848525,-0.059645324576427933,-0.069437149878076948,-0.079160449078811548,-0.088805626456650549,-0.098363163386433708,-0.10782362773355453,-0.11717768316233802,-0.12641609834987574,-0.13552975609622614,-0.14450966232198917,-0.15334695494437647,-0.16203291262301595,-0.17055896336686072,-0.1789166929937091,-0.18709785343398522,-0.19509437087058731,-0.2028983537067694,-0.21050210035419403,-0.21789810683346886,-0.22507907417966791,-0.23203791564552759,-0.23876776369521011,-0.24526197678173126,-0.25151414590136478,-0.2575181009185542,-0.26326791665509147,-0.26875791873755123,-0.27398268919721169,-0.27893707181693478,-0.28361617721973004,-0.28801538769397755,-0.29213036175055207,-0.29595703840734716,-0.29949164119697452,-0.30273068189367996,-0.30567096395580096,-0.30830958568036648,-0.31064394306672727,-0.3126717323863894,-0.31439095245651533,-0.31579990661485002,-0.31689720439412067,-0.31768176289425992,-0.31815280785109673,-0.31830987440046188,-0.3181528075369518,-0.31768176226690015,-0.31689720345540517,-0.31579990536756336,-0.3143909509043632,-0.3126717305339925,-0.31064394091961378,-0.30830958324496255,-0.30567096123942067,-0.302730678904513,-0.29949163794407263,-0.29595703490060921,-0.29213035800070741,-0.28801538371256902,-0.28361617301909381,-0.27893706741018093,-0.27398268459820146,-0.26875791396087512,-0.26326791171604313,-0.25751809583310609,-0.25151414068614181,-0.24526197145398207,-0.23876775827277902,-0.23203791014682326,-0.22507906862363344,-0.21789810123954942,-0.21050209474230322,-0.20289834809725657,-0.19509436528420157,-0.18709784789184114,-0.17891668751725012,-0.17055895797782161,-0.16203290734338549,-0.15334694979636004,-0.1445096573279693,-0.13552975127872294,-0.12641609373150892,-0.11717767876578532,-0.10782362358151219,-0.098363159501575911,-0.088805622861587843,-0.079160445796051387,-0.069437146929982305,-0.059645321985175227,-0.049794634310388636,-0.039894805344783416,-0.029955605024038344,-0.019986842138604289,-0.0099983546536117421,1.1950049240080918e-14,0.009998354653636906,0.019986842138630747,0.029955605024065836,0.039894805344811587,0.049794634310417703,0.059645321985205564,0.069437146930012766,0.079160445796082599,0.088805622861619193,0.098363159501607567,0.10782362358154511,0.11717767876581843,0.1264160937315417,0.1355297512787563,0.14450965732800214,0.15334694979639263,0.16203290734341766,0.17055895797785331,0.17891668751728118,0.18709784789187128,0.19509436528423152,0.20289834809728605,0.21050209474233283,0.2178981012395782,0.22507906862366189,0.2320379101468511,0.23876775827280633,0.2452619714540088,0.25151414068616773,0.25751809583313079,0.26326791171606634,0.2687579139608971,0.27398268459822256,0.2789370674102008,0.28361617301911263,0.28801538371258639,0.29213035800072351,0.29595703490062397,0.29949163794408612,0.30273067890452554,0.30567096123943194,0.3083095832449726,0.3106439409196225,0.31267173053399999,0.31439095090436947,0.31579990536756841,0.31689720345540895,0.31768176226690265,0.31815280753695296,0.31830987440046182,0.31815280785109551,0.31768176289425748,0.31689720439411706,0.31579990661484508,0.31439095245650894,0.3126717323863818,0.31064394306671855,0.30830958568035627,0.30567096395578941,0.30273068189366747,0.29949164119696092,0.2959570384073324,0.29213036175053653,0.28801538769396112,0.28361617721971238,0.27893707181691602,0.27398268919719243,0.2687579187375308,0.26326791665507004,0.25751810091853194,0.25151414590134152,0.24526197678170716,0.23876776369518476,0.23203791564550097,0.2250790741796404,0.21789810683344044,0.21050210035416575,0.20289835370674028,0.19509437087055728,0.18709785343395552,0.17891669299367985,0.17055896336683155,0.16203291262298658,0.15334695494434772,0.14450966232196086,0.13552975609619911,0.12641609834984927,0.11717768316231239,0.1078236277335294,0.098363163386409699,0.088805626456628289,0.07916044907879051,0.069437149878057672,0.059645324576411328,0.049794636522834446,0.03989480715675596,0.029955606414162565,0.019986843085853231,0.0099983551373470075,0],"z":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"type":"scatter3d","mode":"lines","line":{"color":"black","width":4},"name":"Graph","showlegend":false,"inherit":true}},"layout":{"margin":{"b":40,"l":60,"t":25,"r":10},"scene":{"xaxis":{"title":"x","range":[0,1.6366197566564762]},"yaxis":{"title":"y","range":[-0.31830987440046188,0.31830987440046182]},"zaxis":{"title":"z","range":[-0.21935198801571434,0.22006860355063945]},"aspectratio":{"x":3.273239544735163,"y":1.2732395447351628,"z":2.5464790894703255},"camera":{"eye":{"x":0.81830988618379075,"y":4,"z":2},"center":{"x":0.81830988618379075,"y":0,"z":0}}},"xaxis":{"domain":[0,1],"automargin":true,"visible":false,"title":[]},"yaxis":{"domain":[0,1],"automargin":true,"visible":false,"title":[]},"annotations":[{"text":"Exact","x":1.0449999999999999,"y":0.5,"xref":"paper","yref":"paper","showarrow":false,"font":{"size":12,"color":"black"},"textangle":-90},{"text":"Approx","x":1.075,"y":0.5,"xref":"paper","yref":"paper","showarrow":false,"font":{"size":12,"color":"black"},"textangle":-90}],"hovermode":"closest","showlegend":true,"legend":{"yanchor":"top","y":0.33333333333333337}},"source":"A","config":{"modeBarButtonsToAdd":["hoverclosest","hovercompare"],"showSendToCloud":false},"data":[{"x":[0,0.01,0.02,0.029999999999999999,0.040000000000000001,0.050000000000000003,0.059999999999999998,0.070000000000000007,0.080000000000000002,0.089999999999999997,0.10000000000000001,0.11,0.12,0.13,0.14000000000000001,0.14999999999999999,0.16,0.17000000000000001,0.17999999999999999,0.19,0.20000000000000001,0.20999999999999999,0.22,0.23000000000000001,0.23999999999999999,0.25,0.26000000000000001,0.27000000000000002,0.28000000000000003,0.28999999999999998,0.29999999999999999,0.31,0.32000000000000001,0.33000000000000002,0.34000000000000002,0.34999999999999998,0.35999999999999999,0.37,0.38,0.39000000000000001,0.40000000000000002,0.40999999999999998,0.41999999999999998,0.42999999999999999,0.44,0.45000000000000001,0.46000000000000002,0.46999999999999997,0.47999999999999998,0.48999999999999999,0.5,0.51000000000000001,0.52000000000000002,0.53000000000000003,0.54000000000000004,0.55000000000000004,0.56000000000000005,0.56999999999999995,0.57999999999999996,0.58999999999999997,0.59999999999999998,0.60999999999999999,0.62,0.63,0.64000000000000001,0.65000000000000002,0.66000000000000003,0.67000000000000004,0.68000000000000005,0.68999999999999995,0.69999999999999996,0.70999999999999996,0.71999999999999997,0.72999999999999998,0.73999999999999999,0.75,0.76000000000000001,0.77000000000000002,0.78000000000000003,0.79000000000000004,0.80000000000000004,0.81000000000000005,0.81999999999999995,0.82999999999999996,0.83999999999999997,0.84999999999999998,0.85999999999999999,0.87,0.88,0.89000000000000001,0.90000000000000002,0.91000000000000003,0.92000000000000004,0.93000000000000005,0.93999999999999995,0.94999999999999996,0.95999999999999996,0.96999999999999997,0.97999999999999998,0.98999999999999999,1,1.0001570670263213,1.0006281124703467,1.0014126714664966,1.0025099697491828,1.0039189244169164,1.0056381450010008,1.0076659348377568,1.0100002927429257,1.0126389149865966,1.0155791975667106,1.0188182387788958,1.0223528420801009,1.0261795192431966,1.0302944937994349,1.0346937047653684,1.0393728106505509,1.0443271937420644,1.049551964661644,1.0550419671909046,1.0607917833599063,1.066795738794035,1.0730479083139275,1.079542121782906,1.0862719701961592,1.093230812005656,1.1004117796745509,1.1078077864546148,1.1154115333799985,1.1232155164704314,1.1312120341367424,1.1393931947814013,1.1477509245865696,1.1562769754819839,1.164962933284807,1.1738002260034088,1.1827801322968867,1.1918937900819764,1.2011322052788564,1.2104862606872204,1.2199467249838509,1.2295042618328216,1.2391494390993323,1.2488727381580871,1.2586645632870279,1.2685152511371525,1.278415080269073,1.2883542807469031,1.2983230437800031,1.3083115314030722,1.318309886185032,1.3283082409571194,1.3382967285505916,1.3482654915344283,1.3582046919434261,1.3681045209870815,1.3779552087296818,1.3877470337320528,1.397470332645443,1.4071155097480821,1.4166730464149997,1.4261335105117576,1.4354875657028281,1.4447259806654276,1.4538396381997178,1.4628195442263805,1.4716568366626874,1.4803427941683052,1.4888688447522032,1.4972265742321775,1.5054077345386261,1.5134042518544009,1.5212082345826889,1.5288119811350651,1.5362079875320305,1.5433889548085309,1.5503477962171559,1.5570776442219019,1.5635718572755992,1.5698240263743186,1.5758279813822822,1.5815777971210425,1.5870677992169184,1.5922925697009165,1.5972469523556097,1.6019260578037033,1.6063252683332594,1.6104402424548192,1.6142669191859293,1.6178015220588422,1.6210405628474307,1.6239808450096487,1.6266194668421301,1.6289538243438193,1.6309816137858075,1.6327008339848326,1.634109788278207,1.6352070861982173,1.635991644844349,1.6364626899519779,1.6366197566564762,1.6364626899519772,1.6359916448443472,1.6352070861982146,1.6341097882782034,1.6327008339848281,1.6309816137858018,1.6289538243438126,1.6266194668421219,1.6239808450096398,1.6210405628474205,1.6178015220588304,1.6142669191859162,1.610440242454805,1.6063252683332438,1.6019260578036867,1.5972469523555917,1.5922925697008974,1.5870677992168984,1.5815777971210212,1.5758279813822602,1.5698240263742953,1.5635718572755748,1.5570776442218759,1.550347796217129,1.5433889548085025,1.5362079875320009,1.5288119811350342,1.5212082345826565,1.5134042518543673,1.5054077345385921,1.4972265742321433,1.4888688447521685,1.4803427941682694,1.4716568366626512,1.4628195442263436,1.4538396381996805,1.4447259806653905,1.4354875657027908,1.4261335105117199,1.4166730464149608,1.4071155097480432,1.3974703326454037,1.3877470337320137,1.3779552087296425,1.3681045209870419,1.3582046919433863,1.3482654915343881,1.3382967285505512,1.3283082409570803,1.3183098861849925,1.3083115314030334,1.2983230437799647,1.2883542807468644,1.2784150802690342,1.2685152511371123,1.2586645632869882,1.2488727381580478,1.2391494390992923,1.2295042618327818,1.2199467249838125,1.2104862606871825,1.2011322052788191,1.1918937900819404,1.1827801322968519,1.173800226003374,1.1649629332847729,1.1562769754819513,1.1477509245865374,1.13939319478137,1.131212034136712,1.1232155164704012,1.1154115333799695,1.1078077864545861,1.1004117796745227,1.0932308120056284,1.0862719701961325,1.0795421217828809,1.0730479083139035,1.0667957387940117,1.0607917833598846,1.0550419671908848,1.0495519646616254,1.0443271937420471,1.0393728106505351,1.0346937047653539,1.0302944937994223,1.0261795192431853,1.0223528420800909,1.0188182387788869,1.0155791975667028,1.0126389149865902,1.0100002927429201,1.0076659348377526,1.0056381450009977,1.0039189244169142,1.0025099697491815,1.0014126714664957,1.0006281124703462,1.0001570670263211,1],"y":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-0.0099983551373498888,-0.019986843085858921,-0.029955606414171092,-0.039894807156767249,-0.049794636522848525,-0.059645324576427933,-0.069437149878076948,-0.079160449078811548,-0.088805626456650549,-0.098363163386433708,-0.10782362773355453,-0.11717768316233802,-0.12641609834987574,-0.13552975609622614,-0.14450966232198917,-0.15334695494437647,-0.16203291262301595,-0.17055896336686072,-0.1789166929937091,-0.18709785343398522,-0.19509437087058731,-0.2028983537067694,-0.21050210035419403,-0.21789810683346886,-0.22507907417966791,-0.23203791564552759,-0.23876776369521011,-0.24526197678173126,-0.25151414590136478,-0.2575181009185542,-0.26326791665509147,-0.26875791873755123,-0.27398268919721169,-0.27893707181693478,-0.28361617721973004,-0.28801538769397755,-0.29213036175055207,-0.29595703840734716,-0.29949164119697452,-0.30273068189367996,-0.30567096395580096,-0.30830958568036648,-0.31064394306672727,-0.3126717323863894,-0.31439095245651533,-0.31579990661485002,-0.31689720439412067,-0.31768176289425992,-0.31815280785109673,-0.31830987440046188,-0.3181528075369518,-0.31768176226690015,-0.31689720345540517,-0.31579990536756336,-0.3143909509043632,-0.3126717305339925,-0.31064394091961378,-0.30830958324496255,-0.30567096123942067,-0.302730678904513,-0.29949163794407263,-0.29595703490060921,-0.29213035800070741,-0.28801538371256902,-0.28361617301909381,-0.27893706741018093,-0.27398268459820146,-0.26875791396087512,-0.26326791171604313,-0.25751809583310609,-0.25151414068614181,-0.24526197145398207,-0.23876775827277902,-0.23203791014682326,-0.22507906862363344,-0.21789810123954942,-0.21050209474230322,-0.20289834809725657,-0.19509436528420157,-0.18709784789184114,-0.17891668751725012,-0.17055895797782161,-0.16203290734338549,-0.15334694979636004,-0.1445096573279693,-0.13552975127872294,-0.12641609373150892,-0.11717767876578532,-0.10782362358151219,-0.098363159501575911,-0.088805622861587843,-0.079160445796051387,-0.069437146929982305,-0.059645321985175227,-0.049794634310388636,-0.039894805344783416,-0.029955605024038344,-0.019986842138604289,-0.0099983546536117421,1.1950049240080918e-14,0.009998354653636906,0.019986842138630747,0.029955605024065836,0.039894805344811587,0.049794634310417703,0.059645321985205564,0.069437146930012766,0.079160445796082599,0.088805622861619193,0.098363159501607567,0.10782362358154511,0.11717767876581843,0.1264160937315417,0.1355297512787563,0.14450965732800214,0.15334694979639263,0.16203290734341766,0.17055895797785331,0.17891668751728118,0.18709784789187128,0.19509436528423152,0.20289834809728605,0.21050209474233283,0.2178981012395782,0.22507906862366189,0.2320379101468511,0.23876775827280633,0.2452619714540088,0.25151414068616773,0.25751809583313079,0.26326791171606634,0.2687579139608971,0.27398268459822256,0.2789370674102008,0.28361617301911263,0.28801538371258639,0.29213035800072351,0.29595703490062397,0.29949163794408612,0.30273067890452554,0.30567096123943194,0.3083095832449726,0.3106439409196225,0.31267173053399999,0.31439095090436947,0.31579990536756841,0.31689720345540895,0.31768176226690265,0.31815280753695296,0.31830987440046182,0.31815280785109551,0.31768176289425748,0.31689720439411706,0.31579990661484508,0.31439095245650894,0.3126717323863818,0.31064394306671855,0.30830958568035627,0.30567096395578941,0.30273068189366747,0.29949164119696092,0.2959570384073324,0.29213036175053653,0.28801538769396112,0.28361617721971238,0.27893707181691602,0.27398268919719243,0.2687579187375308,0.26326791665507004,0.25751810091853194,0.25151414590134152,0.24526197678170716,0.23876776369518476,0.23203791564550097,0.2250790741796404,0.21789810683344044,0.21050210035416575,0.20289835370674028,0.19509437087055728,0.18709785343395552,0.17891669299367985,0.17055896336683155,0.16203291262298658,0.15334695494434772,0.14450966232196086,0.13552975609619911,0.12641609834984927,0.11717768316231239,0.1078236277335294,0.098363163386409699,0.088805626456628289,0.07916044907879051,0.069437149878057672,0.059645324576411328,0.049794636522834446,0.03989480715675596,0.029955606414162565,0.019986843085853231,0.0099983551373470075,0],"z":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"type":"scatter3d","mode":"lines","line":{"color":"black","width":4},"name":"Graph","showlegend":false,"marker":{"color":"rgba(31,119,180,1)","line":{"color":"rgba(31,119,180,1)"}},"error_y":{"color":"rgba(31,119,180,1)"},"error_x":{"color":"rgba(31,119,180,1)"},"frame":null},{"type":"scatter3d","mode":"lines","x":[0,0.01,0.02,0.029999999999999999,0.040000000000000001,0.050000000000000003,0.059999999999999998,0.070000000000000007,0.080000000000000002,0.089999999999999997,0.10000000000000001,0.11,0.12,0.13,0.14000000000000001,0.14999999999999999,0.16,0.17000000000000001,0.17999999999999999,0.19,0.20000000000000001,0.20999999999999999,0.22,0.23000000000000001,0.23999999999999999,0.25,0.26000000000000001,0.27000000000000002,0.28000000000000003,0.28999999999999998,0.29999999999999999,0.31,0.32000000000000001,0.33000000000000002,0.34000000000000002,0.34999999999999998,0.35999999999999999,0.37,0.38,0.39000000000000001,0.40000000000000002,0.40999999999999998,0.41999999999999998,0.42999999999999999,0.44,0.45000000000000001,0.46000000000000002,0.46999999999999997,0.47999999999999998,0.48999999999999999,0.5,0.51000000000000001,0.52000000000000002,0.53000000000000003,0.54000000000000004,0.55000000000000004,0.56000000000000005,0.56999999999999995,0.57999999999999996,0.58999999999999997,0.59999999999999998,0.60999999999999999,0.62,0.63,0.64000000000000001,0.65000000000000002,0.66000000000000003,0.67000000000000004,0.68000000000000005,0.68999999999999995,0.69999999999999996,0.70999999999999996,0.71999999999999997,0.72999999999999998,0.73999999999999999,0.75,0.76000000000000001,0.77000000000000002,0.78000000000000003,0.79000000000000004,0.80000000000000004,0.81000000000000005,0.81999999999999995,0.82999999999999996,0.83999999999999997,0.84999999999999998,0.85999999999999999,0.87,0.88,0.89000000000000001,0.90000000000000002,0.91000000000000003,0.92000000000000004,0.93000000000000005,0.93999999999999995,0.94999999999999996,0.95999999999999996,0.96999999999999997,0.97999999999999998,0.98999999999999999,1,1.0001570670263213,1.0006281124703467,1.0014126714664966,1.0025099697491828,1.0039189244169164,1.0056381450010008,1.0076659348377568,1.0100002927429257,1.0126389149865966,1.0155791975667106,1.0188182387788958,1.0223528420801009,1.0261795192431966,1.0302944937994349,1.0346937047653684,1.0393728106505509,1.0443271937420644,1.049551964661644,1.0550419671909046,1.0607917833599063,1.066795738794035,1.0730479083139275,1.079542121782906,1.0862719701961592,1.093230812005656,1.1004117796745509,1.1078077864546148,1.1154115333799985,1.1232155164704314,1.1312120341367424,1.1393931947814013,1.1477509245865696,1.1562769754819839,1.164962933284807,1.1738002260034088,1.1827801322968867,1.1918937900819764,1.2011322052788564,1.2104862606872204,1.2199467249838509,1.2295042618328216,1.2391494390993323,1.2488727381580871,1.2586645632870279,1.2685152511371525,1.278415080269073,1.2883542807469031,1.2983230437800031,1.3083115314030722,1.318309886185032,1.3283082409571194,1.3382967285505916,1.3482654915344283,1.3582046919434261,1.3681045209870815,1.3779552087296818,1.3877470337320528,1.397470332645443,1.4071155097480821,1.4166730464149997,1.4261335105117576,1.4354875657028281,1.4447259806654276,1.4538396381997178,1.4628195442263805,1.4716568366626874,1.4803427941683052,1.4888688447522032,1.4972265742321775,1.5054077345386261,1.5134042518544009,1.5212082345826889,1.5288119811350651,1.5362079875320305,1.5433889548085309,1.5503477962171559,1.5570776442219019,1.5635718572755992,1.5698240263743186,1.5758279813822822,1.5815777971210425,1.5870677992169184,1.5922925697009165,1.5972469523556097,1.6019260578037033,1.6063252683332594,1.6104402424548192,1.6142669191859293,1.6178015220588422,1.6210405628474307,1.6239808450096487,1.6266194668421301,1.6289538243438193,1.6309816137858075,1.6327008339848326,1.634109788278207,1.6352070861982173,1.635991644844349,1.6364626899519779,1.6366197566564762,1.6364626899519772,1.6359916448443472,1.6352070861982146,1.6341097882782034,1.6327008339848281,1.6309816137858018,1.6289538243438126,1.6266194668421219,1.6239808450096398,1.6210405628474205,1.6178015220588304,1.6142669191859162,1.610440242454805,1.6063252683332438,1.6019260578036867,1.5972469523555917,1.5922925697008974,1.5870677992168984,1.5815777971210212,1.5758279813822602,1.5698240263742953,1.5635718572755748,1.5570776442218759,1.550347796217129,1.5433889548085025,1.5362079875320009,1.5288119811350342,1.5212082345826565,1.5134042518543673,1.5054077345385921,1.4972265742321433,1.4888688447521685,1.4803427941682694,1.4716568366626512,1.4628195442263436,1.4538396381996805,1.4447259806653905,1.4354875657027908,1.4261335105117199,1.4166730464149608,1.4071155097480432,1.3974703326454037,1.3877470337320137,1.3779552087296425,1.3681045209870419,1.3582046919433863,1.3482654915343881,1.3382967285505512,1.3283082409570803,1.3183098861849925,1.3083115314030334,1.2983230437799647,1.2883542807468644,1.2784150802690342,1.2685152511371123,1.2586645632869882,1.2488727381580478,1.2391494390992923,1.2295042618327818,1.2199467249838125,1.2104862606871825,1.2011322052788191,1.1918937900819404,1.1827801322968519,1.173800226003374,1.1649629332847729,1.1562769754819513,1.1477509245865374,1.13939319478137,1.131212034136712,1.1232155164704012,1.1154115333799695,1.1078077864545861,1.1004117796745227,1.0932308120056284,1.0862719701961325,1.0795421217828809,1.0730479083139035,1.0667957387940117,1.0607917833598846,1.0550419671908848,1.0495519646616254,1.0443271937420471,1.0393728106505351,1.0346937047653539,1.0302944937994223,1.0261795192431853,1.0223528420800909,1.0188182387788869,1.0155791975667028,1.0126389149865902,1.0100002927429201,1.0076659348377526,1.0056381450009977,1.0039189244169142,1.0025099697491815,1.0014126714664957,1.0006281124703462,1.0001570670263211,1],"y":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-0.0099983551373498888,-0.019986843085858921,-0.029955606414171092,-0.039894807156767249,-0.049794636522848525,-0.059645324576427933,-0.069437149878076948,-0.079160449078811548,-0.088805626456650549,-0.098363163386433708,-0.10782362773355453,-0.11717768316233802,-0.12641609834987574,-0.13552975609622614,-0.14450966232198917,-0.15334695494437647,-0.16203291262301595,-0.17055896336686072,-0.1789166929937091,-0.18709785343398522,-0.19509437087058731,-0.2028983537067694,-0.21050210035419403,-0.21789810683346886,-0.22507907417966791,-0.23203791564552759,-0.23876776369521011,-0.24526197678173126,-0.25151414590136478,-0.2575181009185542,-0.26326791665509147,-0.26875791873755123,-0.27398268919721169,-0.27893707181693478,-0.28361617721973004,-0.28801538769397755,-0.29213036175055207,-0.29595703840734716,-0.29949164119697452,-0.30273068189367996,-0.30567096395580096,-0.30830958568036648,-0.31064394306672727,-0.3126717323863894,-0.31439095245651533,-0.31579990661485002,-0.31689720439412067,-0.31768176289425992,-0.31815280785109673,-0.31830987440046188,-0.3181528075369518,-0.31768176226690015,-0.31689720345540517,-0.31579990536756336,-0.3143909509043632,-0.3126717305339925,-0.31064394091961378,-0.30830958324496255,-0.30567096123942067,-0.302730678904513,-0.29949163794407263,-0.29595703490060921,-0.29213035800070741,-0.28801538371256902,-0.28361617301909381,-0.27893706741018093,-0.27398268459820146,-0.26875791396087512,-0.26326791171604313,-0.25751809583310609,-0.25151414068614181,-0.24526197145398207,-0.23876775827277902,-0.23203791014682326,-0.22507906862363344,-0.21789810123954942,-0.21050209474230322,-0.20289834809725657,-0.19509436528420157,-0.18709784789184114,-0.17891668751725012,-0.17055895797782161,-0.16203290734338549,-0.15334694979636004,-0.1445096573279693,-0.13552975127872294,-0.12641609373150892,-0.11717767876578532,-0.10782362358151219,-0.098363159501575911,-0.088805622861587843,-0.079160445796051387,-0.069437146929982305,-0.059645321985175227,-0.049794634310388636,-0.039894805344783416,-0.029955605024038344,-0.019986842138604289,-0.0099983546536117421,1.1950049240080918e-14,0.009998354653636906,0.019986842138630747,0.029955605024065836,0.039894805344811587,0.049794634310417703,0.059645321985205564,0.069437146930012766,0.079160445796082599,0.088805622861619193,0.098363159501607567,0.10782362358154511,0.11717767876581843,0.1264160937315417,0.1355297512787563,0.14450965732800214,0.15334694979639263,0.16203290734341766,0.17055895797785331,0.17891668751728118,0.18709784789187128,0.19509436528423152,0.20289834809728605,0.21050209474233283,0.2178981012395782,0.22507906862366189,0.2320379101468511,0.23876775827280633,0.2452619714540088,0.25151414068616773,0.25751809583313079,0.26326791171606634,0.2687579139608971,0.27398268459822256,0.2789370674102008,0.28361617301911263,0.28801538371258639,0.29213035800072351,0.29595703490062397,0.29949163794408612,0.30273067890452554,0.30567096123943194,0.3083095832449726,0.3106439409196225,0.31267173053399999,0.31439095090436947,0.31579990536756841,0.31689720345540895,0.31768176226690265,0.31815280753695296,0.31830987440046182,0.31815280785109551,0.31768176289425748,0.31689720439411706,0.31579990661484508,0.31439095245650894,0.3126717323863818,0.31064394306671855,0.30830958568035627,0.30567096395578941,0.30273068189366747,0.29949164119696092,0.2959570384073324,0.29213036175053653,0.28801538769396112,0.28361617721971238,0.27893707181691602,0.27398268919719243,0.2687579187375308,0.26326791665507004,0.25751810091853194,0.25151414590134152,0.24526197678170716,0.23876776369518476,0.23203791564550097,0.2250790741796404,0.21789810683344044,0.21050210035416575,0.20289835370674028,0.19509437087055728,0.18709785343395552,0.17891669299367985,0.17055896336683155,0.16203291262298658,0.15334695494434772,0.14450966232196086,0.13552975609619911,0.12641609834984927,0.11717768316231239,0.1078236277335294,0.098363163386409699,0.088805626456628289,0.07916044907879051,0.069437149878057672,0.059645324576411328,0.049794636522834446,0.03989480715675596,0.029955606414162565,0.019986843085853231,0.0099983551373470075,0],"z":[0.21836553912083895,0.21622810994877489,0.21409068077671084,0.21195325160464673,0.20981582243258268,0.2076783932605186,0.20147532751415453,0.1952722617677905,0.18906919602142647,0.18286613027506241,0.17666306452869834,0.16700154769211759,0.15734003085553683,0.1476785140189561,0.13801699718237531,0.12835548034579458,0.11618122683481232,0.10400697332383005,0.091832719812847824,0.079658466301865544,0.067484212790883277,0.053988894061848237,0.04049357533281317,0.026998256603778102,0.013502937874743064,7.6191457079940376e-06,-0.013487783790368045,-0.026983186726444085,-0.040478589662520124,-0.053973992598596088,-0.067469395534672127,-0.079643897013482803,-0.091818398492293479,-0.10399289997110416,-0.11616740144991483,-0.12834190292872544,-0.13800381779118037,-0.14766573265363531,-0.15732764751609024,-0.16698956237854515,-0.17665147724100008,-0.18285506907631088,-0.18905866091162171,-0.19526225274693254,-0.20146584458224334,-0.20766943641755417,-0.20980749066987864,-0.21194554492220308,-0.21408359917452757,-0.21622165342685204,-0.21835970767917651,-0.21622296803665178,-0.21408622839412705,-0.2119494887516023,-0.20981274910907755,-0.20767600946655282,-0.2014736595954949,-0.19527130972443704,-0.18906895985337913,-0.18286660998232118,-0.17666426011126327,-0.16700344593637209,-0.15734263176148089,-0.14768181758658971,-0.13802100341169854,-0.12836018923680736,-0.11618658634470125,-0.10401298345259512,-0.091839380560488987,-0.079665777668382981,-0.067492174776276864,-0.053997418670001879,-0.040502662563726893,-0.027007906457451911,-0.013513150351176924,-1.8394244901943791e-05,0.01347656515515339,0.026971524555208723,0.040466483955264053,0.05396144335531939,0.06745640275537472,0.079630604294775226,0.091804805834175579,0.10397900737357607,0.11615320891297656,0.12832741045237706,0.13798918554673184,0.14765096064108663,0.15731273573544144,0.1669745108297962,0.17663628592415101,0.18283990588627924,0.18904352584840745,0.19524714581053565,0.2014507657726638,0.20765438573479203,0.20979263445455903,0.21193088317432596,0.21406913189409293,0.21620738061385991,0.21834562933362686,0.21620877496811591,0.21407192060260496,0.21193506623709399,0.20979821187158304,0.20766135750607206,0.20145905484596169,0.19525675218585131,0.18905444952574096,0.18285214686563059,0.17664984420552024,0.1669892365666259,0.15732862892773153,0.14766802128883716,0.13800741364994279,0.12834680601104845,0.11617355756677639,0.10400030912250435,0.09182706067823232,0.079653812233960258,0.067480563789688211,0.053986290456240781,0.040492017122793315,0.026997743789345857,0.013503470455898427,9.1971224509652105e-06,-0.013485177857886676,-0.026979552838224317,-0.040473927818561954,-0.053968302798899519,-0.06746267777923716,-0.079636225547156408,-0.091809773315075643,-0.10398332108299489,-0.11615686885091414,-0.12833041661883332,-0.13799150471745947,-0.14765259281608561,-0.15731368091471176,-0.16697476901333794,-0.17663585711196408,-0.18283879481760959,-0.18904173252325512,-0.19524467022890063,-0.20144760793454614,-0.20765054564019167,-0.20978815454432376,-0.21192576344845582,-0.21406337235258788,-0.21620098125671994,-0.21833859016085203,-0.21620163856161984,-0.21406468696238762,-0.2119277353631554,-0.20979078376392321,-0.20765383216469099,-0.20145151544117193,-0.19524919871765292,-0.18904688199413383,-0.18284456527061477,-0.1766422485470957,-0.16698171079225144,-0.15732117303740717,-0.14766063528256285,-0.13800009752771858,-0.12833955977287431,-0.11616646129830735,-0.10399336282374036,-0.091820264349173369,-0.079647165874606532,-0.067474067400039556,-0.053980015834602449,-0.040485964269165342,-0.026991912703728242,-0.013497861138291132,-3.8095728540304423e-06,0.013490284096103561,0.02698437776506115,0.04047847143401874,0.053972565102976336,0.067466658771933918,0.079639881230415099,0.091813103688896142,0.10398632614737732,0.11615954860585852,0.12833277106433968,0.13799350783212108,0.14765424459990245,0.15731498136768379,0.16697571813546519,0.17663645490324656,0.18283903467123902,0.18904161443923148,0.19524419420722394,0.20144677397521632,0.20764935374320878,0.20978661788257119,0.2119238820219336,0.21406114616129598,0.21619841030065842,0.2183356744400208,0.21619841030065842,0.21406114616129601,0.21192388202193363,0.20978661788257119,0.20764935374320881,0.20144677397521635,0.19524419420722389,0.1890416144392314,0.18283903467123894,0.17663645490324648,0.16697571813546513,0.15731498136768376,0.14765424459990265,0.13799350783212128,0.12833277106433993,0.11615954860585875,0.10398632614737757,0.091813103688896391,0.079639881230415197,0.067466658771934016,0.053972565102976433,0.040478471434018837,0.026984377765061254,0.013490284096103661,-3.8095728539234904e-06,-0.013497861138291028,-0.026991912703728131,-0.040485964269165238,-0.053980015834602338,-0.067474067400039445,-0.079647165874606407,-0.091820264349173369,-0.10399336282374032,-0.11616646129830728,-0.12833955977287423,-0.13800009752771858,-0.14766063528256287,-0.157321173037407,-0.16698171079225133,-0.17664224854709565,-0.18284456527061471,-0.18904688199413378,-0.19524919871765284,-0.2014515154411719,-0.20765383216469097,-0.20979078376392318,-0.2119277353631554,-0.21406468696238759,-0.21620163856161981,-0.21833859016085203,-0.21620098125671997,-0.21406337235258788,-0.21192576344845582,-0.20978815454432376,-0.2076505456401917,-0.20144760793454619,-0.19524467022890069,-0.18904173252325518,-0.18283879481760965,-0.17663585711196414,-0.16697476901333796,-0.15731368091471176,-0.14765259281608578,-0.13799150471745961,-0.12833041661883343,-0.1161568688509142,-0.10398332108299496,-0.091809773315075727,-0.079636225547156492,-0.067462677779237257,-0.053968302798899637,-0.04047392781856201,-0.026979552838224386,-0.013485177857886761,9.1971224508582522e-06,0.01350347045589831,0.026997743789345763,0.040492017122793211,0.053986290456240663,0.067480563789688114,0.079653812233960175,0.091827060678232236,0.10400030912250427,0.11617355756677634,0.12834680601104839,0.13800741364994279,0.14766802128883719,0.15732862892773136,0.16698923656662576,0.17664984420552016,0.18285214686563053,0.18905444952574091,0.19525675218585126,0.20145905484596166,0.20766135750607204,0.20979821187158304,0.21193506623709396,0.21407192060260494,0.21620877496811591,0.21834562933362686],"line":{"color":"#ADD8E6","width":4},"showlegend":false,"scene":"scene","marker":{"color":"rgba(255,127,14,1)","line":{"color":"rgba(255,127,14,1)"}},"error_y":{"color":"rgba(255,127,14,1)"},"error_x":{"color":"rgba(255,127,14,1)"},"frame":null},{"type":"scatter3d","mode":"lines","x":[0,0.01,0.02,0.029999999999999999,0.040000000000000001,0.050000000000000003,0.059999999999999998,0.070000000000000007,0.080000000000000002,0.089999999999999997,0.10000000000000001,0.11,0.12,0.13,0.14000000000000001,0.14999999999999999,0.16,0.17000000000000001,0.17999999999999999,0.19,0.20000000000000001,0.20999999999999999,0.22,0.23000000000000001,0.23999999999999999,0.25,0.26000000000000001,0.27000000000000002,0.28000000000000003,0.28999999999999998,0.29999999999999999,0.31,0.32000000000000001,0.33000000000000002,0.34000000000000002,0.34999999999999998,0.35999999999999999,0.37,0.38,0.39000000000000001,0.40000000000000002,0.40999999999999998,0.41999999999999998,0.42999999999999999,0.44,0.45000000000000001,0.46000000000000002,0.46999999999999997,0.47999999999999998,0.48999999999999999,0.5,0.51000000000000001,0.52000000000000002,0.53000000000000003,0.54000000000000004,0.55000000000000004,0.56000000000000005,0.56999999999999995,0.57999999999999996,0.58999999999999997,0.59999999999999998,0.60999999999999999,0.62,0.63,0.64000000000000001,0.65000000000000002,0.66000000000000003,0.67000000000000004,0.68000000000000005,0.68999999999999995,0.69999999999999996,0.70999999999999996,0.71999999999999997,0.72999999999999998,0.73999999999999999,0.75,0.76000000000000001,0.77000000000000002,0.78000000000000003,0.79000000000000004,0.80000000000000004,0.81000000000000005,0.81999999999999995,0.82999999999999996,0.83999999999999997,0.84999999999999998,0.85999999999999999,0.87,0.88,0.89000000000000001,0.90000000000000002,0.91000000000000003,0.92000000000000004,0.93000000000000005,0.93999999999999995,0.94999999999999996,0.95999999999999996,0.96999999999999997,0.97999999999999998,0.98999999999999999,1,1.0001570670263213,1.0006281124703467,1.0014126714664966,1.0025099697491828,1.0039189244169164,1.0056381450010008,1.0076659348377568,1.0100002927429257,1.0126389149865966,1.0155791975667106,1.0188182387788958,1.0223528420801009,1.0261795192431966,1.0302944937994349,1.0346937047653684,1.0393728106505509,1.0443271937420644,1.049551964661644,1.0550419671909046,1.0607917833599063,1.066795738794035,1.0730479083139275,1.079542121782906,1.0862719701961592,1.093230812005656,1.1004117796745509,1.1078077864546148,1.1154115333799985,1.1232155164704314,1.1312120341367424,1.1393931947814013,1.1477509245865696,1.1562769754819839,1.164962933284807,1.1738002260034088,1.1827801322968867,1.1918937900819764,1.2011322052788564,1.2104862606872204,1.2199467249838509,1.2295042618328216,1.2391494390993323,1.2488727381580871,1.2586645632870279,1.2685152511371525,1.278415080269073,1.2883542807469031,1.2983230437800031,1.3083115314030722,1.318309886185032,1.3283082409571194,1.3382967285505916,1.3482654915344283,1.3582046919434261,1.3681045209870815,1.3779552087296818,1.3877470337320528,1.397470332645443,1.4071155097480821,1.4166730464149997,1.4261335105117576,1.4354875657028281,1.4447259806654276,1.4538396381997178,1.4628195442263805,1.4716568366626874,1.4803427941683052,1.4888688447522032,1.4972265742321775,1.5054077345386261,1.5134042518544009,1.5212082345826889,1.5288119811350651,1.5362079875320305,1.5433889548085309,1.5503477962171559,1.5570776442219019,1.5635718572755992,1.5698240263743186,1.5758279813822822,1.5815777971210425,1.5870677992169184,1.5922925697009165,1.5972469523556097,1.6019260578037033,1.6063252683332594,1.6104402424548192,1.6142669191859293,1.6178015220588422,1.6210405628474307,1.6239808450096487,1.6266194668421301,1.6289538243438193,1.6309816137858075,1.6327008339848326,1.634109788278207,1.6352070861982173,1.635991644844349,1.6364626899519779,1.6366197566564762,1.6364626899519772,1.6359916448443472,1.6352070861982146,1.6341097882782034,1.6327008339848281,1.6309816137858018,1.6289538243438126,1.6266194668421219,1.6239808450096398,1.6210405628474205,1.6178015220588304,1.6142669191859162,1.610440242454805,1.6063252683332438,1.6019260578036867,1.5972469523555917,1.5922925697008974,1.5870677992168984,1.5815777971210212,1.5758279813822602,1.5698240263742953,1.5635718572755748,1.5570776442218759,1.550347796217129,1.5433889548085025,1.5362079875320009,1.5288119811350342,1.5212082345826565,1.5134042518543673,1.5054077345385921,1.4972265742321433,1.4888688447521685,1.4803427941682694,1.4716568366626512,1.4628195442263436,1.4538396381996805,1.4447259806653905,1.4354875657027908,1.4261335105117199,1.4166730464149608,1.4071155097480432,1.3974703326454037,1.3877470337320137,1.3779552087296425,1.3681045209870419,1.3582046919433863,1.3482654915343881,1.3382967285505512,1.3283082409570803,1.3183098861849925,1.3083115314030334,1.2983230437799647,1.2883542807468644,1.2784150802690342,1.2685152511371123,1.2586645632869882,1.2488727381580478,1.2391494390992923,1.2295042618327818,1.2199467249838125,1.2104862606871825,1.2011322052788191,1.1918937900819404,1.1827801322968519,1.173800226003374,1.1649629332847729,1.1562769754819513,1.1477509245865374,1.13939319478137,1.131212034136712,1.1232155164704012,1.1154115333799695,1.1078077864545861,1.1004117796745227,1.0932308120056284,1.0862719701961325,1.0795421217828809,1.0730479083139035,1.0667957387940117,1.0607917833598846,1.0550419671908848,1.0495519646616254,1.0443271937420471,1.0393728106505351,1.0346937047653539,1.0302944937994223,1.0261795192431853,1.0223528420800909,1.0188182387788869,1.0155791975667028,1.0126389149865902,1.0100002927429201,1.0076659348377526,1.0056381450009977,1.0039189244169142,1.0025099697491815,1.0014126714664957,1.0006281124703462,1.0001570670263211,1],"y":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-0.0099983551373498888,-0.019986843085858921,-0.029955606414171092,-0.039894807156767249,-0.049794636522848525,-0.059645324576427933,-0.069437149878076948,-0.079160449078811548,-0.088805626456650549,-0.098363163386433708,-0.10782362773355453,-0.11717768316233802,-0.12641609834987574,-0.13552975609622614,-0.14450966232198917,-0.15334695494437647,-0.16203291262301595,-0.17055896336686072,-0.1789166929937091,-0.18709785343398522,-0.19509437087058731,-0.2028983537067694,-0.21050210035419403,-0.21789810683346886,-0.22507907417966791,-0.23203791564552759,-0.23876776369521011,-0.24526197678173126,-0.25151414590136478,-0.2575181009185542,-0.26326791665509147,-0.26875791873755123,-0.27398268919721169,-0.27893707181693478,-0.28361617721973004,-0.28801538769397755,-0.29213036175055207,-0.29595703840734716,-0.29949164119697452,-0.30273068189367996,-0.30567096395580096,-0.30830958568036648,-0.31064394306672727,-0.3126717323863894,-0.31439095245651533,-0.31579990661485002,-0.31689720439412067,-0.31768176289425992,-0.31815280785109673,-0.31830987440046188,-0.3181528075369518,-0.31768176226690015,-0.31689720345540517,-0.31579990536756336,-0.3143909509043632,-0.3126717305339925,-0.31064394091961378,-0.30830958324496255,-0.30567096123942067,-0.302730678904513,-0.29949163794407263,-0.29595703490060921,-0.29213035800070741,-0.28801538371256902,-0.28361617301909381,-0.27893706741018093,-0.27398268459820146,-0.26875791396087512,-0.26326791171604313,-0.25751809583310609,-0.25151414068614181,-0.24526197145398207,-0.23876775827277902,-0.23203791014682326,-0.22507906862363344,-0.21789810123954942,-0.21050209474230322,-0.20289834809725657,-0.19509436528420157,-0.18709784789184114,-0.17891668751725012,-0.17055895797782161,-0.16203290734338549,-0.15334694979636004,-0.1445096573279693,-0.13552975127872294,-0.12641609373150892,-0.11717767876578532,-0.10782362358151219,-0.098363159501575911,-0.088805622861587843,-0.079160445796051387,-0.069437146929982305,-0.059645321985175227,-0.049794634310388636,-0.039894805344783416,-0.029955605024038344,-0.019986842138604289,-0.0099983546536117421,1.1950049240080918e-14,0.009998354653636906,0.019986842138630747,0.029955605024065836,0.039894805344811587,0.049794634310417703,0.059645321985205564,0.069437146930012766,0.079160445796082599,0.088805622861619193,0.098363159501607567,0.10782362358154511,0.11717767876581843,0.1264160937315417,0.1355297512787563,0.14450965732800214,0.15334694979639263,0.16203290734341766,0.17055895797785331,0.17891668751728118,0.18709784789187128,0.19509436528423152,0.20289834809728605,0.21050209474233283,0.2178981012395782,0.22507906862366189,0.2320379101468511,0.23876775827280633,0.2452619714540088,0.25151414068616773,0.25751809583313079,0.26326791171606634,0.2687579139608971,0.27398268459822256,0.2789370674102008,0.28361617301911263,0.28801538371258639,0.29213035800072351,0.29595703490062397,0.29949163794408612,0.30273067890452554,0.30567096123943194,0.3083095832449726,0.3106439409196225,0.31267173053399999,0.31439095090436947,0.31579990536756841,0.31689720345540895,0.31768176226690265,0.31815280753695296,0.31830987440046182,0.31815280785109551,0.31768176289425748,0.31689720439411706,0.31579990661484508,0.31439095245650894,0.3126717323863818,0.31064394306671855,0.30830958568035627,0.30567096395578941,0.30273068189366747,0.29949164119696092,0.2959570384073324,0.29213036175053653,0.28801538769396112,0.28361617721971238,0.27893707181691602,0.27398268919719243,0.2687579187375308,0.26326791665507004,0.25751810091853194,0.25151414590134152,0.24526197678170716,0.23876776369518476,0.23203791564550097,0.2250790741796404,0.21789810683344044,0.21050210035416575,0.20289835370674028,0.19509437087055728,0.18709785343395552,0.17891669299367985,0.17055896336683155,0.16203291262298658,0.15334695494434772,0.14450966232196086,0.13552975609619911,0.12641609834984927,0.11717768316231239,0.1078236277335294,0.098363163386409699,0.088805626456628289,0.07916044907879051,0.069437149878057672,0.059645324576411328,0.049794636522834446,0.03989480715675596,0.029955606414162565,0.019986843085853231,0.0099983551373470075,0],"z":[0.018474926419112917,0.018294080967230834,0.018113235515348752,0.017932390063466665,0.017751544611584583,0.017570699159702496,0.017045865216902732,0.016521031274102968,0.015996197331303207,0.015471363388503443,0.014946529445703681,0.014129081415016762,0.013311633384329847,0.012494185353642929,0.011676737322956012,0.010859289292269095,0.009829244682395771,0.0087992000725224482,0.0077691554626491272,0.0067391108527758026,0.0057090662429024799,0.0045672529969494301,0.0034254397509963772,0.0022836265050433253,0.0011418132590902753,1.3137222838695028e-11,-0.0011418132329610229,-0.0022836264790592688,-0.0034254397251575145,-0.0045672529712557546,-0.0057090662173539999,-0.0067391108276548799,-0.00776915543795576,-0.0087992000482566401,-0.0098292446585575202,-0.010859289268858395,-0.011676737300231603,-0.012494185331604811,-0.013311633362978019,-0.014129081394351227,-0.014946529425724435,-0.0154713633694313,-0.015996197313138165,-0.016521031256845033,-0.017045865200551902,-0.017570699144258767,-0.01775154459721864,-0.017932390050178507,-0.01811323550313838,-0.018294080956098253,-0.018474926409058123,-0.018294080958364954,-0.018113235507671781,-0.017932390056978612,-0.01775154460628544,-0.01757069915559227,-0.017045865214026845,-0.016521031272461427,-0.015996197330896002,-0.015471363389330575,-0.01494652944776515,-0.01412908141828979,-0.013311633388814428,-0.01249418535933907,-0.011676737329863709,-0.010859289300388349,-0.0098292446916368442,-0.008799200082885341,-0.0077691554741338379,-0.0067391108653823443,-0.0057090662566308403,-0.0045672530116478852,-0.0034254397666649288,-0.0022836265216819736,-0.0011418132766990176,-3.1716062211773614e-11,0.0011418132136174204,0.0022836264589509033,0.0034254397042843853,0.0045672529496178687,0.0057090661949513507,0.0067391108047350663,0.0077691554145187681,0.008799200024302482,0.0098292446340861976,0.010859289243869912,0.011676737275002127,0.012494185306134342,0.013311633337266555,0.014129081368398771,0.014946529399530986,0.015471363343286353,0.015996197287041717,0.016521031230797081,0.017045865174552442,0.017570699118307807,0.017751544571602988,0.017932390024898166,0.018113235478193344,0.018294080931488526,0.018474926384783704,0.018294080933892724,0.018113235483001745,0.017932390032110765,0.017751544581219782,0.017570699130328802,0.01704586518884478,0.016521031247360759,0.015996197305876737,0.015471363364392716,0.014946529422908694,0.014129081393789451,0.013311633364670207,0.012494185335550963,0.011676737306431718,0.010859289277312476,0.0098292446691721266,0.0087992000610317769,0.0077691554528914308,0.006739110844751082,0.0057090662366107324,0.0045672529924601938,0.0034254397483096523,0.0022836265041591107,0.001141813260008572,1.5858030540255318e-11,-0.0011418132284677748,-0.0022836264727935803,-0.0034254397171193849,-0.0045672529614451838,-0.0057090662057709893,-0.0067391108144274452,-0.0077691554230839002,-0.0087992000317403552,-0.0098292446403968111,-0.010859289249053262,-0.011676737279000933,-0.012494185308948602,-0.013311633338896272,-0.014129081368843943,-0.014946529398791613,-0.015471363341370602,-0.015996197283949593,-0.016521031226528586,-0.017045865169107575,-0.017570699111686568,-0.017751544563878553,-0.017932390016070537,-0.018113235468262524,-0.018294080920454509,-0.018474926372646493,-0.018294080921587859,-0.018113235470529225,-0.017932390019470588,-0.017751544568411954,-0.01757069911735332,-0.017045865175845051,-0.016521031234336785,-0.015996197292828515,-0.015471363351320242,-0.014946529409811971,-0.014129081380813226,-0.01331163335181448,-0.012494185322815732,-0.011676737293816986,-0.01085928926481824,-0.0098292446569364731,-0.0087992000490547031,-0.0077691554411729357,-0.0067391108332911787,-0.0057090662254094112,-0.0045672529816412517,-0.0034254397378730922,-0.0022836264941049332,-0.0011418132503367734,-6.568614247504944e-12,0.0011418132372721418,0.0022836264811128978,0.0034254397249536541,0.0045672529687944101,0.005709066212635166,0.0067391108207307121,0.007769155428826246,0.0087992000369217904,0.0098292446450173373,0.010859289253112882,0.011676737282454774,0.01249418531179667,0.013311633341138562,0.014129081370480454,0.014946529399822347,0.015471363341784171,0.015996197283745992,0.016521031225707816,0.017045865167669632,0.017570699109631455,0.017751544561228984,0.01793239001282651,0.018113235464424039,0.018294080916021568,0.018474926367619098,0.018294080916021568,0.018113235464424043,0.017932390012826514,0.017751544561228988,0.017570699109631459,0.017045865167669635,0.016521031225707812,0.015996197283745989,0.015471363341784164,0.01494652939982234,0.01412908137048045,0.013311633341138558,0.012494185311796687,0.011676737282454795,0.010859289253112905,0.0098292446450173598,0.0087992000369218129,0.0077691554288262677,0.0067391108207307199,0.0057090662126351747,0.0045672529687944188,0.0034254397249536628,0.0022836264811129069,0.0011418132372721505,-6.5686051974011713e-12,-0.0011418132503367648,-0.002283626494104924,-0.0034254397378730836,-0.0045672529816412431,-0.0057090662254094026,-0.0067391108332911683,-0.0077691554411729348,-0.0087992000490547014,-0.0098292446569364662,-0.010859289264818233,-0.011676737293816984,-0.012494185322815734,-0.013311633351814466,-0.014129081380813216,-0.014946529409811966,-0.015471363351320237,-0.015996197292828508,-0.016521031234336778,-0.017045865175845051,-0.01757069911735332,-0.017751544568411957,-0.017932390019470588,-0.018113235470529225,-0.018294080921587859,-0.018474926372646493,-0.018294080920454509,-0.018113235468262524,-0.01793239001607054,-0.017751544563878556,-0.017570699111686572,-0.017045865169107582,-0.01652103122652859,-0.0159961972839496,-0.015471363341370609,-0.014946529398791618,-0.014129081368843945,-0.013311633338896272,-0.012494185308948616,-0.011676737279000943,-0.010859289249053269,-0.0098292446403968146,-0.0087992000317403604,-0.0077691554230839063,-0.0067391108144274521,-0.005709066205770998,-0.0045672529614451942,-0.0034254397171193901,-0.0022836264727935864,-0.001141813228467782,1.5858021490151535e-11,0.0011418132600085622,0.0022836265041591029,0.0034254397483096432,0.0045672529924601843,0.0057090662366107246,0.0067391108447510742,0.0077691554528914238,0.0087992000610317735,0.0098292446691721248,0.010859289277312473,0.01167673730643172,0.012494185335550967,0.013311633364670193,0.014129081393789442,0.014946529422908687,0.015471363364392711,0.01599619730587673,0.016521031247360755,0.017045865188844777,0.017570699130328802,0.017751544581219782,0.017932390032110765,0.018113235483001741,0.018294080933892724,0.018474926384783704],"line":{"color":"#566CF2","width":4},"showlegend":false,"scene":"scene","marker":{"color":"rgba(44,160,44,1)","line":{"color":"rgba(44,160,44,1)"}},"error_y":{"color":"rgba(44,160,44,1)"},"error_x":{"color":"rgba(44,160,44,1)"},"frame":null},{"type":"scatter3d","mode":"lines","x":[0,0.01,0.02,0.029999999999999999,0.040000000000000001,0.050000000000000003,0.059999999999999998,0.070000000000000007,0.080000000000000002,0.089999999999999997,0.10000000000000001,0.11,0.12,0.13,0.14000000000000001,0.14999999999999999,0.16,0.17000000000000001,0.17999999999999999,0.19,0.20000000000000001,0.20999999999999999,0.22,0.23000000000000001,0.23999999999999999,0.25,0.26000000000000001,0.27000000000000002,0.28000000000000003,0.28999999999999998,0.29999999999999999,0.31,0.32000000000000001,0.33000000000000002,0.34000000000000002,0.34999999999999998,0.35999999999999999,0.37,0.38,0.39000000000000001,0.40000000000000002,0.40999999999999998,0.41999999999999998,0.42999999999999999,0.44,0.45000000000000001,0.46000000000000002,0.46999999999999997,0.47999999999999998,0.48999999999999999,0.5,0.51000000000000001,0.52000000000000002,0.53000000000000003,0.54000000000000004,0.55000000000000004,0.56000000000000005,0.56999999999999995,0.57999999999999996,0.58999999999999997,0.59999999999999998,0.60999999999999999,0.62,0.63,0.64000000000000001,0.65000000000000002,0.66000000000000003,0.67000000000000004,0.68000000000000005,0.68999999999999995,0.69999999999999996,0.70999999999999996,0.71999999999999997,0.72999999999999998,0.73999999999999999,0.75,0.76000000000000001,0.77000000000000002,0.78000000000000003,0.79000000000000004,0.80000000000000004,0.81000000000000005,0.81999999999999995,0.82999999999999996,0.83999999999999997,0.84999999999999998,0.85999999999999999,0.87,0.88,0.89000000000000001,0.90000000000000002,0.91000000000000003,0.92000000000000004,0.93000000000000005,0.93999999999999995,0.94999999999999996,0.95999999999999996,0.96999999999999997,0.97999999999999998,0.98999999999999999,1,1.0001570670263213,1.0006281124703467,1.0014126714664966,1.0025099697491828,1.0039189244169164,1.0056381450010008,1.0076659348377568,1.0100002927429257,1.0126389149865966,1.0155791975667106,1.0188182387788958,1.0223528420801009,1.0261795192431966,1.0302944937994349,1.0346937047653684,1.0393728106505509,1.0443271937420644,1.049551964661644,1.0550419671909046,1.0607917833599063,1.066795738794035,1.0730479083139275,1.079542121782906,1.0862719701961592,1.093230812005656,1.1004117796745509,1.1078077864546148,1.1154115333799985,1.1232155164704314,1.1312120341367424,1.1393931947814013,1.1477509245865696,1.1562769754819839,1.164962933284807,1.1738002260034088,1.1827801322968867,1.1918937900819764,1.2011322052788564,1.2104862606872204,1.2199467249838509,1.2295042618328216,1.2391494390993323,1.2488727381580871,1.2586645632870279,1.2685152511371525,1.278415080269073,1.2883542807469031,1.2983230437800031,1.3083115314030722,1.318309886185032,1.3283082409571194,1.3382967285505916,1.3482654915344283,1.3582046919434261,1.3681045209870815,1.3779552087296818,1.3877470337320528,1.397470332645443,1.4071155097480821,1.4166730464149997,1.4261335105117576,1.4354875657028281,1.4447259806654276,1.4538396381997178,1.4628195442263805,1.4716568366626874,1.4803427941683052,1.4888688447522032,1.4972265742321775,1.5054077345386261,1.5134042518544009,1.5212082345826889,1.5288119811350651,1.5362079875320305,1.5433889548085309,1.5503477962171559,1.5570776442219019,1.5635718572755992,1.5698240263743186,1.5758279813822822,1.5815777971210425,1.5870677992169184,1.5922925697009165,1.5972469523556097,1.6019260578037033,1.6063252683332594,1.6104402424548192,1.6142669191859293,1.6178015220588422,1.6210405628474307,1.6239808450096487,1.6266194668421301,1.6289538243438193,1.6309816137858075,1.6327008339848326,1.634109788278207,1.6352070861982173,1.635991644844349,1.6364626899519779,1.6366197566564762,1.6364626899519772,1.6359916448443472,1.6352070861982146,1.6341097882782034,1.6327008339848281,1.6309816137858018,1.6289538243438126,1.6266194668421219,1.6239808450096398,1.6210405628474205,1.6178015220588304,1.6142669191859162,1.610440242454805,1.6063252683332438,1.6019260578036867,1.5972469523555917,1.5922925697008974,1.5870677992168984,1.5815777971210212,1.5758279813822602,1.5698240263742953,1.5635718572755748,1.5570776442218759,1.550347796217129,1.5433889548085025,1.5362079875320009,1.5288119811350342,1.5212082345826565,1.5134042518543673,1.5054077345385921,1.4972265742321433,1.4888688447521685,1.4803427941682694,1.4716568366626512,1.4628195442263436,1.4538396381996805,1.4447259806653905,1.4354875657027908,1.4261335105117199,1.4166730464149608,1.4071155097480432,1.3974703326454037,1.3877470337320137,1.3779552087296425,1.3681045209870419,1.3582046919433863,1.3482654915343881,1.3382967285505512,1.3283082409570803,1.3183098861849925,1.3083115314030334,1.2983230437799647,1.2883542807468644,1.2784150802690342,1.2685152511371123,1.2586645632869882,1.2488727381580478,1.2391494390992923,1.2295042618327818,1.2199467249838125,1.2104862606871825,1.2011322052788191,1.1918937900819404,1.1827801322968519,1.173800226003374,1.1649629332847729,1.1562769754819513,1.1477509245865374,1.13939319478137,1.131212034136712,1.1232155164704012,1.1154115333799695,1.1078077864545861,1.1004117796745227,1.0932308120056284,1.0862719701961325,1.0795421217828809,1.0730479083139035,1.0667957387940117,1.0607917833598846,1.0550419671908848,1.0495519646616254,1.0443271937420471,1.0393728106505351,1.0346937047653539,1.0302944937994223,1.0261795192431853,1.0223528420800909,1.0188182387788869,1.0155791975667028,1.0126389149865902,1.0100002927429201,1.0076659348377526,1.0056381450009977,1.0039189244169142,1.0025099697491815,1.0014126714664957,1.0006281124703462,1.0001570670263211,1],"y":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-0.0099983551373498888,-0.019986843085858921,-0.029955606414171092,-0.039894807156767249,-0.049794636522848525,-0.059645324576427933,-0.069437149878076948,-0.079160449078811548,-0.088805626456650549,-0.098363163386433708,-0.10782362773355453,-0.11717768316233802,-0.12641609834987574,-0.13552975609622614,-0.14450966232198917,-0.15334695494437647,-0.16203291262301595,-0.17055896336686072,-0.1789166929937091,-0.18709785343398522,-0.19509437087058731,-0.2028983537067694,-0.21050210035419403,-0.21789810683346886,-0.22507907417966791,-0.23203791564552759,-0.23876776369521011,-0.24526197678173126,-0.25151414590136478,-0.2575181009185542,-0.26326791665509147,-0.26875791873755123,-0.27398268919721169,-0.27893707181693478,-0.28361617721973004,-0.28801538769397755,-0.29213036175055207,-0.29595703840734716,-0.29949164119697452,-0.30273068189367996,-0.30567096395580096,-0.30830958568036648,-0.31064394306672727,-0.3126717323863894,-0.31439095245651533,-0.31579990661485002,-0.31689720439412067,-0.31768176289425992,-0.31815280785109673,-0.31830987440046188,-0.3181528075369518,-0.31768176226690015,-0.31689720345540517,-0.31579990536756336,-0.3143909509043632,-0.3126717305339925,-0.31064394091961378,-0.30830958324496255,-0.30567096123942067,-0.302730678904513,-0.29949163794407263,-0.29595703490060921,-0.29213035800070741,-0.28801538371256902,-0.28361617301909381,-0.27893706741018093,-0.27398268459820146,-0.26875791396087512,-0.26326791171604313,-0.25751809583310609,-0.25151414068614181,-0.24526197145398207,-0.23876775827277902,-0.23203791014682326,-0.22507906862363344,-0.21789810123954942,-0.21050209474230322,-0.20289834809725657,-0.19509436528420157,-0.18709784789184114,-0.17891668751725012,-0.17055895797782161,-0.16203290734338549,-0.15334694979636004,-0.1445096573279693,-0.13552975127872294,-0.12641609373150892,-0.11717767876578532,-0.10782362358151219,-0.098363159501575911,-0.088805622861587843,-0.079160445796051387,-0.069437146929982305,-0.059645321985175227,-0.049794634310388636,-0.039894805344783416,-0.029955605024038344,-0.019986842138604289,-0.0099983546536117421,1.1950049240080918e-14,0.009998354653636906,0.019986842138630747,0.029955605024065836,0.039894805344811587,0.049794634310417703,0.059645321985205564,0.069437146930012766,0.079160445796082599,0.088805622861619193,0.098363159501607567,0.10782362358154511,0.11717767876581843,0.1264160937315417,0.1355297512787563,0.14450965732800214,0.15334694979639263,0.16203290734341766,0.17055895797785331,0.17891668751728118,0.18709784789187128,0.19509436528423152,0.20289834809728605,0.21050209474233283,0.2178981012395782,0.22507906862366189,0.2320379101468511,0.23876775827280633,0.2452619714540088,0.25151414068616773,0.25751809583313079,0.26326791171606634,0.2687579139608971,0.27398268459822256,0.2789370674102008,0.28361617301911263,0.28801538371258639,0.29213035800072351,0.29595703490062397,0.29949163794408612,0.30273067890452554,0.30567096123943194,0.3083095832449726,0.3106439409196225,0.31267173053399999,0.31439095090436947,0.31579990536756841,0.31689720345540895,0.31768176226690265,0.31815280753695296,0.31830987440046182,0.31815280785109551,0.31768176289425748,0.31689720439411706,0.31579990661484508,0.31439095245650894,0.3126717323863818,0.31064394306671855,0.30830958568035627,0.30567096395578941,0.30273068189366747,0.29949164119696092,0.2959570384073324,0.29213036175053653,0.28801538769396112,0.28361617721971238,0.27893707181691602,0.27398268919719243,0.2687579187375308,0.26326791665507004,0.25751810091853194,0.25151414590134152,0.24526197678170716,0.23876776369518476,0.23203791564550097,0.2250790741796404,0.21789810683344044,0.21050210035416575,0.20289835370674028,0.19509437087055728,0.18709785343395552,0.17891669299367985,0.17055896336683155,0.16203291262298658,0.15334695494434772,0.14450966232196086,0.13552975609619911,0.12641609834984927,0.11717768316231239,0.1078236277335294,0.098363163386409699,0.088805626456628289,0.07916044907879051,0.069437149878057672,0.059645324576411328,0.049794636522834446,0.03989480715675596,0.029955606414162565,0.019986843085853231,0.0099983551373470075,0],"z":[-0.21834562917361483,-0.21620831002491819,-0.21407099087622153,-0.21193367172752486,-0.20979635257882823,-0.20765903343013156,-0.20145629167389417,-0.19525354991765681,-0.18905080816141945,-0.18284806640518209,-0.1766453246489447,-0.16698432786531014,-0.15732333108167559,-0.14766233429804104,-0.13800133751440646,-0.12834034073077194,-0.116166774597045,-0.10399320846331805,-0.091819642329591153,-0.079646076195864196,-0.067472510062137267,-0.053978008049709834,-0.04048350603728236,-0.026989004024854893,-0.013494502012427459,9.2818850718250438e-18,0.013494502012427485,0.026989004024854962,0.040483506037282437,0.053978008049709834,0.067472510062137309,0.079646076195864252,0.091819642329591195,0.10399320846331814,0.11616677459704509,0.12834034073077197,0.13800133751440652,0.14766233429804104,0.15732333108167562,0.16698432786531014,0.1766453246489447,0.18284806640518206,0.18905080816141945,0.19525354991765681,0.2014562916738942,0.20765903343013159,0.20979635257882825,0.21193367172752486,0.21407099087622153,0.21620831002491817,0.21834562917361483,0.21620831002491819,0.2140709908762215,0.21193367172752486,0.20979635257882823,0.20765903343013156,0.20145629167389417,0.19525354991765687,0.18905080816141948,0.18284806640518209,0.1766453246489447,0.16698432786531014,0.15732333108167562,0.14766233429804104,0.13800133751440652,0.12834034073077197,0.11616677459704501,0.10399320846331804,0.091819642329591084,0.079646076195864252,0.067472510062137281,0.053978008049709827,0.04048350603728236,0.026989004024854903,0.013494502012427441,-1.4576597230804246e-17,-0.013494502012427474,-0.026989004024854935,-0.040483506037282388,-0.053978008049709848,-0.067472510062137309,-0.079646076195864279,-0.091819642329591084,-0.10399320846331805,-0.11616677459704502,-0.12834034073077197,-0.13800133751440655,-0.1476623342980411,-0.15732333108167562,-0.1669843278653102,-0.17664532464894475,-0.18284806640518214,-0.18905080816141953,-0.19525354991765692,-0.20145629167389423,-0.20765903343013162,-0.20979635257882828,-0.21193367172752492,-0.21407099087622158,-0.21620831002491825,-0.21834562917361489,-0.21620831002491825,-0.21407099087622158,-0.21193367172752492,-0.20979635257882828,-0.20765903343013162,-0.20145629167389423,-0.19525354991765687,-0.1890508081614195,-0.18284806640518211,-0.17664532464894475,-0.1669843278653102,-0.15732333108167565,-0.14766233429804107,-0.13800133751440652,-0.12834034073077197,-0.11616677459704502,-0.10399320846331808,-0.091819642329591167,-0.079646076195864224,-0.067472510062137281,-0.053978008049709841,-0.040483506037282367,-0.0269890040248549,-0.013494502012427459,1.3973205512284181e-17,0.01349450201242749,0.026989004024854966,0.040483506037282443,0.053978008049709848,0.067472510062137322,0.079646076195864279,0.091819642329591222,0.10399320846331817,0.11616677459704511,0.128340340730772,0.13800133751440655,0.1476623342980411,0.15732333108167565,0.1669843278653102,0.17664532464894475,0.18284806640518211,0.1890508081614195,0.19525354991765687,0.20145629167389426,0.20765903343013165,0.20979635257882831,0.21193367172752495,0.21407099087622161,0.21620831002491825,0.21834562917361491,0.21620831002491828,0.21407099087622161,0.21193367172752497,0.20979635257882828,0.20765903343013165,0.20145629167389428,0.19525354991765692,0.18905080816141953,0.18284806640518214,0.17664532464894475,0.16698432786531023,0.15732333108167565,0.14766233429804113,0.13800133751440657,0.12834034073077202,0.11616677459704507,0.10399320846331808,0.091819642329591139,0.079646076195864293,0.067472510062137336,0.053978008049709876,0.040483506037282416,0.026989004024854952,0.013494502012427486,2.8783591948497779e-17,-0.013494502012427434,-0.026989004024854896,-0.040483506037282353,-0.053978008049709821,-0.067472510062137281,-0.079646076195864252,-0.091819642329591084,-0.10399320846331804,-0.11616677459704501,-0.12834034073077197,-0.13800133751440655,-0.1476623342980411,-0.15732333108167562,-0.1669843278653102,-0.17664532464894475,-0.18284806640518214,-0.18905080816141953,-0.19525354991765692,-0.20145629167389426,-0.20765903343013165,-0.20979635257882831,-0.21193367172752497,-0.21407099087622161,-0.21620831002491828,-0.21834562917361491,-0.2162083100249183,-0.21407099087622161,-0.21193367172752497,-0.20979635257882834,-0.20765903343013167,-0.20145629167389428,-0.19525354991765687,-0.18905080816141948,-0.18284806640518206,-0.17664532464894467,-0.16698432786531014,-0.15732333108167562,-0.14766233429804132,-0.13800133751440677,-0.12834034073077225,-0.11616677459704529,-0.10399320846331829,-0.091819642329591333,-0.079646076195864349,-0.067472510062137378,-0.053978008049709918,-0.040483506037282457,-0.026989004024855,-0.013494502012427535,-7.8174918401615209e-17,0.013494502012427384,0.026989004024854844,0.040483506037282298,0.053978008049709772,0.067472510062137225,0.079646076195864168,0.091819642329591111,0.10399320846331805,0.116166774597045,0.12834034073077194,0.13800133751440655,0.14766233429804115,0.15732333108167551,0.16698432786531009,0.1766453246489447,0.18284806640518209,0.18905080816141945,0.19525354991765687,0.20145629167389423,0.20765903343013162,0.20979635257882828,0.21193367172752495,0.21407099087622158,0.21620831002491828,0.21834562917361491,0.2162083100249183,0.21407099087622161,0.21193367172752497,0.20979635257882834,0.20765903343013167,0.20145629167389431,0.19525354991765692,0.18905080816141956,0.18284806640518217,0.17664532464894481,0.16698432786531026,0.15732333108167562,0.14766233429804126,0.13800133751440669,0.12834034073077211,0.11616677459704518,0.10399320846331822,0.091819642329591306,0.079646076195864363,0.06747251006213742,0.053978008049709959,0.040483506037282499,0.026989004024855042,0.013494502012427578,1.2093171586239713e-16,-0.013494502012427341,-0.026989004024854803,-0.040483506037282263,-0.05397800804970973,-0.067472510062137184,-0.079646076195864141,-0.091819642329591084,-0.10399320846331803,-0.11616677459704497,-0.12834034073077191,-0.13800133751440652,-0.1476623342980411,-0.15732333108167548,-0.16698432786531009,-0.17664532464894467,-0.18284806640518206,-0.18905080816141945,-0.19525354991765681,-0.20145629167389423,-0.20765903343013159,-0.20979635257882828,-0.21193367172752492,-0.21407099087622158,-0.21620831002491825,-0.21834562917361489],"line":{"color":"#0000FF","width":4},"showlegend":false,"scene":"scene","marker":{"color":"rgba(214,39,40,1)","line":{"color":"rgba(214,39,40,1)"}},"error_y":{"color":"rgba(214,39,40,1)"},"error_x":{"color":"rgba(214,39,40,1)"},"frame":null},{"type":"scatter3d","mode":"lines","x":[0,0.01,0.02,0.029999999999999999,0.040000000000000001,0.050000000000000003,0.059999999999999998,0.070000000000000007,0.080000000000000002,0.089999999999999997,0.10000000000000001,0.11,0.12,0.13,0.14000000000000001,0.14999999999999999,0.16,0.17000000000000001,0.17999999999999999,0.19,0.20000000000000001,0.20999999999999999,0.22,0.23000000000000001,0.23999999999999999,0.25,0.26000000000000001,0.27000000000000002,0.28000000000000003,0.28999999999999998,0.29999999999999999,0.31,0.32000000000000001,0.33000000000000002,0.34000000000000002,0.34999999999999998,0.35999999999999999,0.37,0.38,0.39000000000000001,0.40000000000000002,0.40999999999999998,0.41999999999999998,0.42999999999999999,0.44,0.45000000000000001,0.46000000000000002,0.46999999999999997,0.47999999999999998,0.48999999999999999,0.5,0.51000000000000001,0.52000000000000002,0.53000000000000003,0.54000000000000004,0.55000000000000004,0.56000000000000005,0.56999999999999995,0.57999999999999996,0.58999999999999997,0.59999999999999998,0.60999999999999999,0.62,0.63,0.64000000000000001,0.65000000000000002,0.66000000000000003,0.67000000000000004,0.68000000000000005,0.68999999999999995,0.69999999999999996,0.70999999999999996,0.71999999999999997,0.72999999999999998,0.73999999999999999,0.75,0.76000000000000001,0.77000000000000002,0.78000000000000003,0.79000000000000004,0.80000000000000004,0.81000000000000005,0.81999999999999995,0.82999999999999996,0.83999999999999997,0.84999999999999998,0.85999999999999999,0.87,0.88,0.89000000000000001,0.90000000000000002,0.91000000000000003,0.92000000000000004,0.93000000000000005,0.93999999999999995,0.94999999999999996,0.95999999999999996,0.96999999999999997,0.97999999999999998,0.98999999999999999,1,1.0001570670263213,1.0006281124703467,1.0014126714664966,1.0025099697491828,1.0039189244169164,1.0056381450010008,1.0076659348377568,1.0100002927429257,1.0126389149865966,1.0155791975667106,1.0188182387788958,1.0223528420801009,1.0261795192431966,1.0302944937994349,1.0346937047653684,1.0393728106505509,1.0443271937420644,1.049551964661644,1.0550419671909046,1.0607917833599063,1.066795738794035,1.0730479083139275,1.079542121782906,1.0862719701961592,1.093230812005656,1.1004117796745509,1.1078077864546148,1.1154115333799985,1.1232155164704314,1.1312120341367424,1.1393931947814013,1.1477509245865696,1.1562769754819839,1.164962933284807,1.1738002260034088,1.1827801322968867,1.1918937900819764,1.2011322052788564,1.2104862606872204,1.2199467249838509,1.2295042618328216,1.2391494390993323,1.2488727381580871,1.2586645632870279,1.2685152511371525,1.278415080269073,1.2883542807469031,1.2983230437800031,1.3083115314030722,1.318309886185032,1.3283082409571194,1.3382967285505916,1.3482654915344283,1.3582046919434261,1.3681045209870815,1.3779552087296818,1.3877470337320528,1.397470332645443,1.4071155097480821,1.4166730464149997,1.4261335105117576,1.4354875657028281,1.4447259806654276,1.4538396381997178,1.4628195442263805,1.4716568366626874,1.4803427941683052,1.4888688447522032,1.4972265742321775,1.5054077345386261,1.5134042518544009,1.5212082345826889,1.5288119811350651,1.5362079875320305,1.5433889548085309,1.5503477962171559,1.5570776442219019,1.5635718572755992,1.5698240263743186,1.5758279813822822,1.5815777971210425,1.5870677992169184,1.5922925697009165,1.5972469523556097,1.6019260578037033,1.6063252683332594,1.6104402424548192,1.6142669191859293,1.6178015220588422,1.6210405628474307,1.6239808450096487,1.6266194668421301,1.6289538243438193,1.6309816137858075,1.6327008339848326,1.634109788278207,1.6352070861982173,1.635991644844349,1.6364626899519779,1.6366197566564762,1.6364626899519772,1.6359916448443472,1.6352070861982146,1.6341097882782034,1.6327008339848281,1.6309816137858018,1.6289538243438126,1.6266194668421219,1.6239808450096398,1.6210405628474205,1.6178015220588304,1.6142669191859162,1.610440242454805,1.6063252683332438,1.6019260578036867,1.5972469523555917,1.5922925697008974,1.5870677992168984,1.5815777971210212,1.5758279813822602,1.5698240263742953,1.5635718572755748,1.5570776442218759,1.550347796217129,1.5433889548085025,1.5362079875320009,1.5288119811350342,1.5212082345826565,1.5134042518543673,1.5054077345385921,1.4972265742321433,1.4888688447521685,1.4803427941682694,1.4716568366626512,1.4628195442263436,1.4538396381996805,1.4447259806653905,1.4354875657027908,1.4261335105117199,1.4166730464149608,1.4071155097480432,1.3974703326454037,1.3877470337320137,1.3779552087296425,1.3681045209870419,1.3582046919433863,1.3482654915343881,1.3382967285505512,1.3283082409570803,1.3183098861849925,1.3083115314030334,1.2983230437799647,1.2883542807468644,1.2784150802690342,1.2685152511371123,1.2586645632869882,1.2488727381580478,1.2391494390992923,1.2295042618327818,1.2199467249838125,1.2104862606871825,1.2011322052788191,1.1918937900819404,1.1827801322968519,1.173800226003374,1.1649629332847729,1.1562769754819513,1.1477509245865374,1.13939319478137,1.131212034136712,1.1232155164704012,1.1154115333799695,1.1078077864545861,1.1004117796745227,1.0932308120056284,1.0862719701961325,1.0795421217828809,1.0730479083139035,1.0667957387940117,1.0607917833598846,1.0550419671908848,1.0495519646616254,1.0443271937420471,1.0393728106505351,1.0346937047653539,1.0302944937994223,1.0261795192431853,1.0223528420800909,1.0188182387788869,1.0155791975667028,1.0126389149865902,1.0100002927429201,1.0076659348377526,1.0056381450009977,1.0039189244169142,1.0025099697491815,1.0014126714664957,1.0006281124703462,1.0001570670263211,1],"y":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-0.0099983551373498888,-0.019986843085858921,-0.029955606414171092,-0.039894807156767249,-0.049794636522848525,-0.059645324576427933,-0.069437149878076948,-0.079160449078811548,-0.088805626456650549,-0.098363163386433708,-0.10782362773355453,-0.11717768316233802,-0.12641609834987574,-0.13552975609622614,-0.14450966232198917,-0.15334695494437647,-0.16203291262301595,-0.17055896336686072,-0.1789166929937091,-0.18709785343398522,-0.19509437087058731,-0.2028983537067694,-0.21050210035419403,-0.21789810683346886,-0.22507907417966791,-0.23203791564552759,-0.23876776369521011,-0.24526197678173126,-0.25151414590136478,-0.2575181009185542,-0.26326791665509147,-0.26875791873755123,-0.27398268919721169,-0.27893707181693478,-0.28361617721973004,-0.28801538769397755,-0.29213036175055207,-0.29595703840734716,-0.29949164119697452,-0.30273068189367996,-0.30567096395580096,-0.30830958568036648,-0.31064394306672727,-0.3126717323863894,-0.31439095245651533,-0.31579990661485002,-0.31689720439412067,-0.31768176289425992,-0.31815280785109673,-0.31830987440046188,-0.3181528075369518,-0.31768176226690015,-0.31689720345540517,-0.31579990536756336,-0.3143909509043632,-0.3126717305339925,-0.31064394091961378,-0.30830958324496255,-0.30567096123942067,-0.302730678904513,-0.29949163794407263,-0.29595703490060921,-0.29213035800070741,-0.28801538371256902,-0.28361617301909381,-0.27893706741018093,-0.27398268459820146,-0.26875791396087512,-0.26326791171604313,-0.25751809583310609,-0.25151414068614181,-0.24526197145398207,-0.23876775827277902,-0.23203791014682326,-0.22507906862363344,-0.21789810123954942,-0.21050209474230322,-0.20289834809725657,-0.19509436528420157,-0.18709784789184114,-0.17891668751725012,-0.17055895797782161,-0.16203290734338549,-0.15334694979636004,-0.1445096573279693,-0.13552975127872294,-0.12641609373150892,-0.11717767876578532,-0.10782362358151219,-0.098363159501575911,-0.088805622861587843,-0.079160445796051387,-0.069437146929982305,-0.059645321985175227,-0.049794634310388636,-0.039894805344783416,-0.029955605024038344,-0.019986842138604289,-0.0099983546536117421,1.1950049240080918e-14,0.009998354653636906,0.019986842138630747,0.029955605024065836,0.039894805344811587,0.049794634310417703,0.059645321985205564,0.069437146930012766,0.079160445796082599,0.088805622861619193,0.098363159501607567,0.10782362358154511,0.11717767876581843,0.1264160937315417,0.1355297512787563,0.14450965732800214,0.15334694979639263,0.16203290734341766,0.17055895797785331,0.17891668751728118,0.18709784789187128,0.19509436528423152,0.20289834809728605,0.21050209474233283,0.2178981012395782,0.22507906862366189,0.2320379101468511,0.23876775827280633,0.2452619714540088,0.25151414068616773,0.25751809583313079,0.26326791171606634,0.2687579139608971,0.27398268459822256,0.2789370674102008,0.28361617301911263,0.28801538371258639,0.29213035800072351,0.29595703490062397,0.29949163794408612,0.30273067890452554,0.30567096123943194,0.3083095832449726,0.3106439409196225,0.31267173053399999,0.31439095090436947,0.31579990536756841,0.31689720345540895,0.31768176226690265,0.31815280753695296,0.31830987440046182,0.31815280785109551,0.31768176289425748,0.31689720439411706,0.31579990661484508,0.31439095245650894,0.3126717323863818,0.31064394306671855,0.30830958568035627,0.30567096395578941,0.30273068189366747,0.29949164119696092,0.2959570384073324,0.29213036175053653,0.28801538769396112,0.28361617721971238,0.27893707181691602,0.27398268919719243,0.2687579187375308,0.26326791665507004,0.25751810091853194,0.25151414590134152,0.24526197678170716,0.23876776369518476,0.23203791564550097,0.2250790741796404,0.21789810683344044,0.21050210035416575,0.20289835370674028,0.19509437087055728,0.18709785343395552,0.17891669299367985,0.17055896336683155,0.16203291262298658,0.15334695494434772,0.14450966232196086,0.13552975609619911,0.12641609834984927,0.11717768316231239,0.1078236277335294,0.098363163386409699,0.088805626456628289,0.07916044907879051,0.069437149878057672,0.059645324576411328,0.049794636522834446,0.03989480715675596,0.029955606414162565,0.019986843085853231,0.0099983551373470075,0],"z":[0.22006860355063945,0.21792484813769725,0.21578109272475504,0.21363733731181281,0.2114935818988706,0.2093498264859284,0.20312782963251763,0.19690583277910689,0.19068383592569615,0.18446183907228542,0.17823984221887468,0.16854695918386609,0.15885407614885749,0.1491611931138489,0.13946831007884031,0.12977542704383171,0.11755774057958618,0.10534005411534067,0.093122367651095189,0.080904681186849653,0.068686994722604144,0.055136856441681009,0.041586718160757853,0.028036579879834697,0.014486441598911567,0.00093630331798840762,-0.012624183017017935,-0.026184669352024275,-0.039745155687030617,-0.053305642022036887,-0.066866128357043225,-0.079114287148422197,-0.091362445939801168,-0.10361060473118014,-0.1158587635225591,-0.128106922313938,-0.13784871804348156,-0.14759051377302512,-0.15733230950256868,-0.16707410523211225,-0.17681590096165581,-0.18310254795371589,-0.189389194945776,-0.1956758419378361,-0.20196248892989624,-0.20824913592195635,-0.21046970634070797,-0.21269027675945953,-0.21491084717821113,-0.21713141759696275,-0.21935198801571434,-0.21729296766629125,-0.21523394731686812,-0.213174926967445,-0.21111590661802188,-0.20905688626859878,-0.20292286206331656,-0.19678883785803433,-0.19065481365275211,-0.18452078944746983,-0.17838676524218758,-0.16878023105737572,-0.15917369687256377,-0.14956716268775189,-0.13996062850294,-0.13035409431812811,-0.11821636125493844,-0.10607862819174876,-0.09394089512855909,-0.081803162065369542,-0.069665429002179868,-0.05618443043550047,-0.042703431868821064,-0.029222433302141672,-0.01574143473546227,-0.0022604361687828746,0.011245544810408303,0.024751525789599483,0.03825750676879066,0.05176348774798184,0.065269468727173013,0.077480768495805291,0.08969206826443743,0.10190336803306971,0.11411466780170199,0.12632596757033426,0.13605058744566467,0.14577520732099508,0.15549982719632552,0.16522444707165593,0.17494906694698636,0.18123917039380519,0.18752927384062404,0.19381937728744286,0.2001094807342616,0.20639958418108045,0.2086440523593224,0.21088852053756429,0.21313298871580624,0.21537745689404819,0.21762192507229011,0.2155488066183332,0.21347568816437629,0.21140256971041937,0.20932945125646246,0.20725633280250552,0.20112811026692801,0.19499988773135055,0.18887166519577309,0.1827434426601956,0.17661522012461811,0.167034066782558,0.15745291344049786,0.14787176009843775,0.13829060675637761,0.1287094534143175,0.11661527781751542,0.10452110222071334,0.092426926623911304,0.080332751027109225,0.068238575430307147,0.054816903961124014,0.04139523249194086,0.027973561022757699,0.01455188955357457,0.0011302180843914096,-0.01230394459104764,-0.02573810726648669,-0.039172269941925734,-0.052606432617364716,-0.066040595292803761,-0.078171554242327163,-0.09030251319185055,-0.10243347214137394,-0.11456443109089734,-0.12669539004042066,-0.13633558622774006,-0.14597578241505943,-0.1556159786023788,-0.16525617478969823,-0.1748963709770176,-0.18110263313336336,-0.18730889528970915,-0.19351515744605491,-0.19972141960240072,-0.20592768175874651,-0.20809352412711285,-0.21025936649547916,-0.21242520886384547,-0.21459105123221184,-0.21675689360057815,-0.21467182626687606,-0.21258675893317397,-0.21050169159947191,-0.20841662426576982,-0.20633155693206773,-0.2002016061691109,-0.19407165540615409,-0.18794170464319723,-0.18181175388024037,-0.17568180311728354,-0.16610923770232999,-0.15653667228737642,-0.14696410687242284,-0.13739154145746929,-0.12781897604251571,-0.11574322995708698,-0.10366748387165821,-0.091591737786229463,-0.079515991700800842,-0.067440245615372096,-0.054045826824096525,-0.04065140803282094,-0.027256989241545369,-0.013862570450269786,-0.00046815165899421405,0.012931441159322949,0.026331033977640111,0.03973062679595727,0.053130219614274436,0.066529812432591595,0.078620794681587058,0.090711776930582383,0.10280275917957785,0.11489374142857331,0.12698472367756877,0.13658174543978982,0.14617876720201084,0.15577578896423189,0.16537281072645293,0.17496983248867398,0.18113210832095555,0.18729438415323707,0.19345665998551864,0.19961893581780013,0.20578121165008167,0.20790468648668847,0.21002816132329527,0.21215163615990207,0.21427511099650887,0.21639858583311566,0.21427511099650889,0.21215163615990212,0.21002816132329535,0.20790468648668858,0.20578121165008181,0.19961893581780027,0.19345665998551873,0.18729438415323718,0.18113210832095564,0.17496983248867409,0.16537281072645299,0.15577578896423191,0.14617876720201103,0.13658174543978996,0.12698472367756886,0.11489374142857342,0.10280275917957798,0.090711776930582549,0.0786207946815871,0.066529812432591665,0.053130219614274499,0.039730626795957333,0.026331033977640167,0.012931441159322998,-0.00046815165899416591,-0.013862570450269745,-0.027256989241545324,-0.040651408032820899,-0.054045826824096484,-0.067440245615372055,-0.079515991700800787,-0.091591737786229505,-0.10366748387165822,-0.11574322995708694,-0.12781897604251566,-0.13739154145746926,-0.14696410687242284,-0.15653667228737622,-0.16610923770232983,-0.1756818031172834,-0.18181175388024029,-0.18794170464319715,-0.19407165540615401,-0.2002016061691109,-0.20633155693206776,-0.20841662426576987,-0.21050169159947196,-0.21258675893317405,-0.21467182626687617,-0.21675689360057826,-0.21459105123221198,-0.21242520886384564,-0.21025936649547933,-0.20809352412711302,-0.20592768175874671,-0.19972141960240092,-0.1935151574460551,-0.18730889528970932,-0.1811026331333635,-0.17489637097701771,-0.16525617478969828,-0.15561597860237886,-0.14597578241505962,-0.1363355862277402,-0.12669539004042077,-0.11456443109089741,-0.10243347214137404,-0.090302513191850675,-0.078171554242327287,-0.066040595292803927,-0.05260643261736489,-0.039172269941925859,-0.025738107266486822,-0.012303944591047786,0.0011302180843912458,0.014551889553574393,0.027973561022757543,0.041395232491940687,0.05481690396112384,0.06823857543030698,0.080332751027109045,0.09242692662391111,0.10452110222071317,0.11661527781751525,0.1287094534143173,0.13829060675637747,0.14787176009843761,0.15745291344049758,0.16703406678255772,0.17661522012461789,0.18274344266019543,0.18887166519577292,0.19499988773135044,0.20112811026692795,0.20725633280250547,0.20932945125646241,0.21140256971041932,0.21347568816437623,0.21554880661833317,0.21762192507229011],"line":{"color":"#FFE4E1","width":4,"dash":"dot"},"showlegend":false,"scene":"scene","marker":{"color":"rgba(148,103,189,1)","line":{"color":"rgba(148,103,189,1)"}},"error_y":{"color":"rgba(148,103,189,1)"},"error_x":{"color":"rgba(148,103,189,1)"},"frame":null},{"type":"scatter3d","mode":"lines","x":[0,0.01,0.02,0.029999999999999999,0.040000000000000001,0.050000000000000003,0.059999999999999998,0.070000000000000007,0.080000000000000002,0.089999999999999997,0.10000000000000001,0.11,0.12,0.13,0.14000000000000001,0.14999999999999999,0.16,0.17000000000000001,0.17999999999999999,0.19,0.20000000000000001,0.20999999999999999,0.22,0.23000000000000001,0.23999999999999999,0.25,0.26000000000000001,0.27000000000000002,0.28000000000000003,0.28999999999999998,0.29999999999999999,0.31,0.32000000000000001,0.33000000000000002,0.34000000000000002,0.34999999999999998,0.35999999999999999,0.37,0.38,0.39000000000000001,0.40000000000000002,0.40999999999999998,0.41999999999999998,0.42999999999999999,0.44,0.45000000000000001,0.46000000000000002,0.46999999999999997,0.47999999999999998,0.48999999999999999,0.5,0.51000000000000001,0.52000000000000002,0.53000000000000003,0.54000000000000004,0.55000000000000004,0.56000000000000005,0.56999999999999995,0.57999999999999996,0.58999999999999997,0.59999999999999998,0.60999999999999999,0.62,0.63,0.64000000000000001,0.65000000000000002,0.66000000000000003,0.67000000000000004,0.68000000000000005,0.68999999999999995,0.69999999999999996,0.70999999999999996,0.71999999999999997,0.72999999999999998,0.73999999999999999,0.75,0.76000000000000001,0.77000000000000002,0.78000000000000003,0.79000000000000004,0.80000000000000004,0.81000000000000005,0.81999999999999995,0.82999999999999996,0.83999999999999997,0.84999999999999998,0.85999999999999999,0.87,0.88,0.89000000000000001,0.90000000000000002,0.91000000000000003,0.92000000000000004,0.93000000000000005,0.93999999999999995,0.94999999999999996,0.95999999999999996,0.96999999999999997,0.97999999999999998,0.98999999999999999,1,1.0001570670263213,1.0006281124703467,1.0014126714664966,1.0025099697491828,1.0039189244169164,1.0056381450010008,1.0076659348377568,1.0100002927429257,1.0126389149865966,1.0155791975667106,1.0188182387788958,1.0223528420801009,1.0261795192431966,1.0302944937994349,1.0346937047653684,1.0393728106505509,1.0443271937420644,1.049551964661644,1.0550419671909046,1.0607917833599063,1.066795738794035,1.0730479083139275,1.079542121782906,1.0862719701961592,1.093230812005656,1.1004117796745509,1.1078077864546148,1.1154115333799985,1.1232155164704314,1.1312120341367424,1.1393931947814013,1.1477509245865696,1.1562769754819839,1.164962933284807,1.1738002260034088,1.1827801322968867,1.1918937900819764,1.2011322052788564,1.2104862606872204,1.2199467249838509,1.2295042618328216,1.2391494390993323,1.2488727381580871,1.2586645632870279,1.2685152511371525,1.278415080269073,1.2883542807469031,1.2983230437800031,1.3083115314030722,1.318309886185032,1.3283082409571194,1.3382967285505916,1.3482654915344283,1.3582046919434261,1.3681045209870815,1.3779552087296818,1.3877470337320528,1.397470332645443,1.4071155097480821,1.4166730464149997,1.4261335105117576,1.4354875657028281,1.4447259806654276,1.4538396381997178,1.4628195442263805,1.4716568366626874,1.4803427941683052,1.4888688447522032,1.4972265742321775,1.5054077345386261,1.5134042518544009,1.5212082345826889,1.5288119811350651,1.5362079875320305,1.5433889548085309,1.5503477962171559,1.5570776442219019,1.5635718572755992,1.5698240263743186,1.5758279813822822,1.5815777971210425,1.5870677992169184,1.5922925697009165,1.5972469523556097,1.6019260578037033,1.6063252683332594,1.6104402424548192,1.6142669191859293,1.6178015220588422,1.6210405628474307,1.6239808450096487,1.6266194668421301,1.6289538243438193,1.6309816137858075,1.6327008339848326,1.634109788278207,1.6352070861982173,1.635991644844349,1.6364626899519779,1.6366197566564762,1.6364626899519772,1.6359916448443472,1.6352070861982146,1.6341097882782034,1.6327008339848281,1.6309816137858018,1.6289538243438126,1.6266194668421219,1.6239808450096398,1.6210405628474205,1.6178015220588304,1.6142669191859162,1.610440242454805,1.6063252683332438,1.6019260578036867,1.5972469523555917,1.5922925697008974,1.5870677992168984,1.5815777971210212,1.5758279813822602,1.5698240263742953,1.5635718572755748,1.5570776442218759,1.550347796217129,1.5433889548085025,1.5362079875320009,1.5288119811350342,1.5212082345826565,1.5134042518543673,1.5054077345385921,1.4972265742321433,1.4888688447521685,1.4803427941682694,1.4716568366626512,1.4628195442263436,1.4538396381996805,1.4447259806653905,1.4354875657027908,1.4261335105117199,1.4166730464149608,1.4071155097480432,1.3974703326454037,1.3877470337320137,1.3779552087296425,1.3681045209870419,1.3582046919433863,1.3482654915343881,1.3382967285505512,1.3283082409570803,1.3183098861849925,1.3083115314030334,1.2983230437799647,1.2883542807468644,1.2784150802690342,1.2685152511371123,1.2586645632869882,1.2488727381580478,1.2391494390992923,1.2295042618327818,1.2199467249838125,1.2104862606871825,1.2011322052788191,1.1918937900819404,1.1827801322968519,1.173800226003374,1.1649629332847729,1.1562769754819513,1.1477509245865374,1.13939319478137,1.131212034136712,1.1232155164704012,1.1154115333799695,1.1078077864545861,1.1004117796745227,1.0932308120056284,1.0862719701961325,1.0795421217828809,1.0730479083139035,1.0667957387940117,1.0607917833598846,1.0550419671908848,1.0495519646616254,1.0443271937420471,1.0393728106505351,1.0346937047653539,1.0302944937994223,1.0261795192431853,1.0223528420800909,1.0188182387788869,1.0155791975667028,1.0126389149865902,1.0100002927429201,1.0076659348377526,1.0056381450009977,1.0039189244169142,1.0025099697491815,1.0014126714664957,1.0006281124703462,1.0001570670263211,1],"y":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-0.0099983551373498888,-0.019986843085858921,-0.029955606414171092,-0.039894807156767249,-0.049794636522848525,-0.059645324576427933,-0.069437149878076948,-0.079160449078811548,-0.088805626456650549,-0.098363163386433708,-0.10782362773355453,-0.11717768316233802,-0.12641609834987574,-0.13552975609622614,-0.14450966232198917,-0.15334695494437647,-0.16203291262301595,-0.17055896336686072,-0.1789166929937091,-0.18709785343398522,-0.19509437087058731,-0.2028983537067694,-0.21050210035419403,-0.21789810683346886,-0.22507907417966791,-0.23203791564552759,-0.23876776369521011,-0.24526197678173126,-0.25151414590136478,-0.2575181009185542,-0.26326791665509147,-0.26875791873755123,-0.27398268919721169,-0.27893707181693478,-0.28361617721973004,-0.28801538769397755,-0.29213036175055207,-0.29595703840734716,-0.29949164119697452,-0.30273068189367996,-0.30567096395580096,-0.30830958568036648,-0.31064394306672727,-0.3126717323863894,-0.31439095245651533,-0.31579990661485002,-0.31689720439412067,-0.31768176289425992,-0.31815280785109673,-0.31830987440046188,-0.3181528075369518,-0.31768176226690015,-0.31689720345540517,-0.31579990536756336,-0.3143909509043632,-0.3126717305339925,-0.31064394091961378,-0.30830958324496255,-0.30567096123942067,-0.302730678904513,-0.29949163794407263,-0.29595703490060921,-0.29213035800070741,-0.28801538371256902,-0.28361617301909381,-0.27893706741018093,-0.27398268459820146,-0.26875791396087512,-0.26326791171604313,-0.25751809583310609,-0.25151414068614181,-0.24526197145398207,-0.23876775827277902,-0.23203791014682326,-0.22507906862363344,-0.21789810123954942,-0.21050209474230322,-0.20289834809725657,-0.19509436528420157,-0.18709784789184114,-0.17891668751725012,-0.17055895797782161,-0.16203290734338549,-0.15334694979636004,-0.1445096573279693,-0.13552975127872294,-0.12641609373150892,-0.11717767876578532,-0.10782362358151219,-0.098363159501575911,-0.088805622861587843,-0.079160445796051387,-0.069437146929982305,-0.059645321985175227,-0.049794634310388636,-0.039894805344783416,-0.029955605024038344,-0.019986842138604289,-0.0099983546536117421,1.1950049240080918e-14,0.009998354653636906,0.019986842138630747,0.029955605024065836,0.039894805344811587,0.049794634310417703,0.059645321985205564,0.069437146930012766,0.079160445796082599,0.088805622861619193,0.098363159501607567,0.10782362358154511,0.11717767876581843,0.1264160937315417,0.1355297512787563,0.14450965732800214,0.15334694979639263,0.16203290734341766,0.17055895797785331,0.17891668751728118,0.18709784789187128,0.19509436528423152,0.20289834809728605,0.21050209474233283,0.2178981012395782,0.22507906862366189,0.2320379101468511,0.23876775827280633,0.2452619714540088,0.25151414068616773,0.25751809583313079,0.26326791171606634,0.2687579139608971,0.27398268459822256,0.2789370674102008,0.28361617301911263,0.28801538371258639,0.29213035800072351,0.29595703490062397,0.29949163794408612,0.30273067890452554,0.30567096123943194,0.3083095832449726,0.3106439409196225,0.31267173053399999,0.31439095090436947,0.31579990536756841,0.31689720345540895,0.31768176226690265,0.31815280753695296,0.31830987440046182,0.31815280785109551,0.31768176289425748,0.31689720439411706,0.31579990661484508,0.31439095245650894,0.3126717323863818,0.31064394306671855,0.30830958568035627,0.30567096395578941,0.30273068189366747,0.29949164119696092,0.2959570384073324,0.29213036175053653,0.28801538769396112,0.28361617721971238,0.27893707181691602,0.27398268919719243,0.2687579187375308,0.26326791665507004,0.25751810091853194,0.25151414590134152,0.24526197678170716,0.23876776369518476,0.23203791564550097,0.2250790741796404,0.21789810683344044,0.21050210035416575,0.20289835370674028,0.19509437087055728,0.18709785343395552,0.17891669299367985,0.17055896336683155,0.16203291262298658,0.15334695494434772,0.14450966232196086,0.13552975609619911,0.12641609834984927,0.11717768316231239,0.1078236277335294,0.098363163386409699,0.088805626456628289,0.07916044907879051,0.069437149878057672,0.059645324576411328,0.049794636522834446,0.03989480715675596,0.029955606414162565,0.019986843085853231,0.0099983551373470075,0],"z":[0.018124110966087556,0.017946701750013516,0.017769292533939478,0.017591883317865438,0.017414474101791397,0.017237064885717357,0.016722203165529338,0.016207341445341319,0.015692479725153301,0.015177618004965284,0.014662756284777265,0.013860839953294322,0.01305892362181138,0.012257007290328433,0.01145509095884549,0.010653174627362547,0.0096427002651686376,0.0086322259029747283,0.0076217515407808242,0.0066112771785869148,0.0056008028163930055,0.0044806819315089492,0.0033605610466248899,0.002240440161740831,0.0011203192768567743,1.9839197271512583e-07,-0.0011199246855457439,-0.0022400477630642028,-0.0033601708405826616,-0.0044802939181011149,-0.0056004169956195733,-0.0066108978145513562,-0.007621378633483139,-0.0086318594524149202,-0.0096423402713467048,-0.010652821090278481,-0.011454747785802409,-0.012256674481326337,-0.013058601176850263,-0.013860527872374191,-0.014662454567898119,-0.015177329986711674,-0.015692205405525232,-0.01620708082433879,-0.016721956243152349,-0.017236831661965907,-0.017414257154261818,-0.017591682646557725,-0.017769108138853636,-0.017946533631149543,-0.018123959123445454,-0.017946567861762998,-0.017769176600080538,-0.017591785338398083,-0.017414394076715627,-0.017237002815033167,-0.016722159735243908,-0.016207316655454655,-0.015692473575665396,-0.01517763049587614,-0.01466278741608688,-0.013860889380938476,-0.013058991345790069,-0.012257093310641662,-0.011455195275493258,-0.010653297240344851,-0.0096428398193628955,-0.0086323823983809368,-0.0076219249773989816,-0.0066114675564170359,-0.0056010101354350798,-0.0044809039004663227,-0.0033607976654975642,-0.002240691430528807,-0.0011205851955600487,-4.789605912914044e-07,0.0011196325678651713,0.0022397440963216339,0.0033598556247780966,0.0044799671532345592,0.0056000786816910219,0.00661055169061712,0.007621024699543206,0.0086314977084693042,0.0096419707173954015,0.010652443726321499,0.01145436678247821,0.012256289838634919,0.013058212894791629,0.01386013595094834,0.014662059007105049,0.015176935158301871,0.015691811309498691,0.016206687460695507,0.016721563611892323,0.017236439763089143,0.017413870319047176,0.017591300875005211,0.01776873143096324,0.017946161986921276,0.018123592542879308,0.017946198293969619,0.017768804045059934,0.017591409796150245,0.017414015547240556,0.017236621298330868,0.016721779447849118,0.016206937597367372,0.015692095746885626,0.015177253896403876,0.014662412045922129,0.013860519388684243,0.013058626731446355,0.012256734074208471,0.011454841416970583,0.010652948759732698,0.0096425005680800847,0.0086320523764274737,0.0076216041847748627,0.0066111559931222499,0.005600707801469638,0.0044806141372348354,0.003360520473000029,0.0022404268087652239,0.0011203331445304207,2.3948029561511298e-07,-0.0011198568306830432,-0.0022399531416617017,-0.00336004945264036,-0.0044801457636190123,-0.0056002420745976701,-0.0066106980602223565,-0.0076211540458470412,-0.0086316100314717259,-0.0096420660170964123,-0.01065252200272109,-0.011454427170463129,-0.012256332338205167,-0.013058237505947205,-0.013860142673689246,-0.014662047841431283,-0.015176906227616811,-0.015691764613802339,-0.016206622999987871,-0.016721481386173402,-0.01723633977235893,-0.017413753668406411,-0.017591167564453888,-0.017768581460501368,-0.017945995356548845,-0.018123409252596326,-0.017946012471855573,-0.01776861569111482,-0.017591218910374067,-0.01741382212963331,-0.017236425348892557,-0.016721583132219178,-0.0162067409155458,-0.015691898698872421,-0.015177056482199039,-0.014662214265525659,-0.013860323427971381,-0.013058432590417101,-0.012256541752862823,-0.011454650915308544,-0.010652760077754266,-0.0096423157911044929,-0.0086318715044547169,-0.0076214272178049443,-0.0066109829311551804,-0.0056005386445054069,-0.0044804507548015984,-0.0033603628650977907,-0.0022402749753939826,-0.0011201870856901741,-9.9195986366067456e-08,0.0011199897900346419,0.0022400787760556498,0.0033601677620766581,0.0044802567480976664,0.0056003457341186743,0.0066107932491373854,0.0076212407641560844,0.0086316882791747946,0.009642135794193504,0.010652583309212215,0.011454479328786986,0.012256375348361756,0.013058271367936525,0.013860167387511295,0.014662063407086066,0.015176912473072219,0.015691761539058369,0.016206610605044521,0.016721459671030666,0.017236308737016818,0.017413713655868506,0.017591118574720194,0.017768523493571886,0.017945928412423574,0.018123333331275263,0.017945928412423574,0.017768523493571886,0.017591118574720198,0.01741371365586851,0.017236308737016821,0.016721459671030673,0.016206610605044525,0.015691761539058373,0.015176912473072223,0.014662063407086073,0.0138601673875113,0.013058271367936525,0.01225637534836177,0.011454479328786998,0.010652583309212224,0.0096421357941935161,0.0086316882791748067,0.0076212407641560991,0.0066107932491373906,0.005600345734118683,0.0044802567480976743,0.0033601677620766655,0.0022400787760556568,0.0011199897900346478,-9.919598636069597e-08,-0.0011201870856901695,-0.0022402749753939783,-0.0033603628650977868,-0.0044804507548015958,-0.0056005386445054043,-0.0066109829311551769,-0.0076214272178049486,-0.0086318715044547203,-0.0096423157911044929,-0.010652760077754266,-0.01145465091530855,-0.01225654175286283,-0.013058432590417095,-0.01386032342797138,-0.014662214265525662,-0.015177056482199044,-0.015691898698872424,-0.016206740915545807,-0.016721583132219185,-0.017236425348892567,-0.017413822129633324,-0.01759121891037408,-0.017768615691114834,-0.01794601247185559,-0.018123409252596343,-0.017945995356548866,-0.017768581460501386,-0.017591167564453912,-0.017413753668406431,-0.017236339772358954,-0.016721481386173423,-0.016206622999987895,-0.015691764613802364,-0.015176906227616832,-0.014662047841431302,-0.013860142673689263,-0.013058237505947222,-0.012256332338205198,-0.011454427170463157,-0.010652522002721116,-0.0096420660170964314,-0.0086316100314717467,-0.0076211540458470638,-0.0066106980602223782,-0.0056002420745976944,-0.0044801457636190374,-0.0033600494526403804,-0.002239953141661723,-0.0011198568306830658,2.3948029559110579e-07,0.0011203331445303957,0.0022404268087652004,0.0033605204730000051,0.0044806141372348094,0.0056007078014696145,0.0066111559931222273,0.0076216041847748418,0.0086320523764274546,0.0096425005680800674,0.010652948759732682,0.011454841416970573,0.012256734074208462,0.013058626731446334,0.013860519388684225,0.014662412045922115,0.015177253896403864,0.015692095746885612,0.016206937597367362,0.016721779447849108,0.017236621298330857,0.017414015547240549,0.017591409796150238,0.017768804045059927,0.017946198293969619,0.018123592542879308],"line":{"color":"#FF7270","width":4,"dash":"dot"},"showlegend":false,"scene":"scene","marker":{"color":"rgba(140,86,75,1)","line":{"color":"rgba(140,86,75,1)"}},"error_y":{"color":"rgba(140,86,75,1)"},"error_x":{"color":"rgba(140,86,75,1)"},"frame":null},{"type":"scatter3d","mode":"lines","x":[0,0.01,0.02,0.029999999999999999,0.040000000000000001,0.050000000000000003,0.059999999999999998,0.070000000000000007,0.080000000000000002,0.089999999999999997,0.10000000000000001,0.11,0.12,0.13,0.14000000000000001,0.14999999999999999,0.16,0.17000000000000001,0.17999999999999999,0.19,0.20000000000000001,0.20999999999999999,0.22,0.23000000000000001,0.23999999999999999,0.25,0.26000000000000001,0.27000000000000002,0.28000000000000003,0.28999999999999998,0.29999999999999999,0.31,0.32000000000000001,0.33000000000000002,0.34000000000000002,0.34999999999999998,0.35999999999999999,0.37,0.38,0.39000000000000001,0.40000000000000002,0.40999999999999998,0.41999999999999998,0.42999999999999999,0.44,0.45000000000000001,0.46000000000000002,0.46999999999999997,0.47999999999999998,0.48999999999999999,0.5,0.51000000000000001,0.52000000000000002,0.53000000000000003,0.54000000000000004,0.55000000000000004,0.56000000000000005,0.56999999999999995,0.57999999999999996,0.58999999999999997,0.59999999999999998,0.60999999999999999,0.62,0.63,0.64000000000000001,0.65000000000000002,0.66000000000000003,0.67000000000000004,0.68000000000000005,0.68999999999999995,0.69999999999999996,0.70999999999999996,0.71999999999999997,0.72999999999999998,0.73999999999999999,0.75,0.76000000000000001,0.77000000000000002,0.78000000000000003,0.79000000000000004,0.80000000000000004,0.81000000000000005,0.81999999999999995,0.82999999999999996,0.83999999999999997,0.84999999999999998,0.85999999999999999,0.87,0.88,0.89000000000000001,0.90000000000000002,0.91000000000000003,0.92000000000000004,0.93000000000000005,0.93999999999999995,0.94999999999999996,0.95999999999999996,0.96999999999999997,0.97999999999999998,0.98999999999999999,1,1.0001570670263213,1.0006281124703467,1.0014126714664966,1.0025099697491828,1.0039189244169164,1.0056381450010008,1.0076659348377568,1.0100002927429257,1.0126389149865966,1.0155791975667106,1.0188182387788958,1.0223528420801009,1.0261795192431966,1.0302944937994349,1.0346937047653684,1.0393728106505509,1.0443271937420644,1.049551964661644,1.0550419671909046,1.0607917833599063,1.066795738794035,1.0730479083139275,1.079542121782906,1.0862719701961592,1.093230812005656,1.1004117796745509,1.1078077864546148,1.1154115333799985,1.1232155164704314,1.1312120341367424,1.1393931947814013,1.1477509245865696,1.1562769754819839,1.164962933284807,1.1738002260034088,1.1827801322968867,1.1918937900819764,1.2011322052788564,1.2104862606872204,1.2199467249838509,1.2295042618328216,1.2391494390993323,1.2488727381580871,1.2586645632870279,1.2685152511371525,1.278415080269073,1.2883542807469031,1.2983230437800031,1.3083115314030722,1.318309886185032,1.3283082409571194,1.3382967285505916,1.3482654915344283,1.3582046919434261,1.3681045209870815,1.3779552087296818,1.3877470337320528,1.397470332645443,1.4071155097480821,1.4166730464149997,1.4261335105117576,1.4354875657028281,1.4447259806654276,1.4538396381997178,1.4628195442263805,1.4716568366626874,1.4803427941683052,1.4888688447522032,1.4972265742321775,1.5054077345386261,1.5134042518544009,1.5212082345826889,1.5288119811350651,1.5362079875320305,1.5433889548085309,1.5503477962171559,1.5570776442219019,1.5635718572755992,1.5698240263743186,1.5758279813822822,1.5815777971210425,1.5870677992169184,1.5922925697009165,1.5972469523556097,1.6019260578037033,1.6063252683332594,1.6104402424548192,1.6142669191859293,1.6178015220588422,1.6210405628474307,1.6239808450096487,1.6266194668421301,1.6289538243438193,1.6309816137858075,1.6327008339848326,1.634109788278207,1.6352070861982173,1.635991644844349,1.6364626899519779,1.6366197566564762,1.6364626899519772,1.6359916448443472,1.6352070861982146,1.6341097882782034,1.6327008339848281,1.6309816137858018,1.6289538243438126,1.6266194668421219,1.6239808450096398,1.6210405628474205,1.6178015220588304,1.6142669191859162,1.610440242454805,1.6063252683332438,1.6019260578036867,1.5972469523555917,1.5922925697008974,1.5870677992168984,1.5815777971210212,1.5758279813822602,1.5698240263742953,1.5635718572755748,1.5570776442218759,1.550347796217129,1.5433889548085025,1.5362079875320009,1.5288119811350342,1.5212082345826565,1.5134042518543673,1.5054077345385921,1.4972265742321433,1.4888688447521685,1.4803427941682694,1.4716568366626512,1.4628195442263436,1.4538396381996805,1.4447259806653905,1.4354875657027908,1.4261335105117199,1.4166730464149608,1.4071155097480432,1.3974703326454037,1.3877470337320137,1.3779552087296425,1.3681045209870419,1.3582046919433863,1.3482654915343881,1.3382967285505512,1.3283082409570803,1.3183098861849925,1.3083115314030334,1.2983230437799647,1.2883542807468644,1.2784150802690342,1.2685152511371123,1.2586645632869882,1.2488727381580478,1.2391494390992923,1.2295042618327818,1.2199467249838125,1.2104862606871825,1.2011322052788191,1.1918937900819404,1.1827801322968519,1.173800226003374,1.1649629332847729,1.1562769754819513,1.1477509245865374,1.13939319478137,1.131212034136712,1.1232155164704012,1.1154115333799695,1.1078077864545861,1.1004117796745227,1.0932308120056284,1.0862719701961325,1.0795421217828809,1.0730479083139035,1.0667957387940117,1.0607917833598846,1.0550419671908848,1.0495519646616254,1.0443271937420471,1.0393728106505351,1.0346937047653539,1.0302944937994223,1.0261795192431853,1.0223528420800909,1.0188182387788869,1.0155791975667028,1.0126389149865902,1.0100002927429201,1.0076659348377526,1.0056381450009977,1.0039189244169142,1.0025099697491815,1.0014126714664957,1.0006281124703462,1.0001570670263211,1],"y":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-0.0099983551373498888,-0.019986843085858921,-0.029955606414171092,-0.039894807156767249,-0.049794636522848525,-0.059645324576427933,-0.069437149878076948,-0.079160449078811548,-0.088805626456650549,-0.098363163386433708,-0.10782362773355453,-0.11717768316233802,-0.12641609834987574,-0.13552975609622614,-0.14450966232198917,-0.15334695494437647,-0.16203291262301595,-0.17055896336686072,-0.1789166929937091,-0.18709785343398522,-0.19509437087058731,-0.2028983537067694,-0.21050210035419403,-0.21789810683346886,-0.22507907417966791,-0.23203791564552759,-0.23876776369521011,-0.24526197678173126,-0.25151414590136478,-0.2575181009185542,-0.26326791665509147,-0.26875791873755123,-0.27398268919721169,-0.27893707181693478,-0.28361617721973004,-0.28801538769397755,-0.29213036175055207,-0.29595703840734716,-0.29949164119697452,-0.30273068189367996,-0.30567096395580096,-0.30830958568036648,-0.31064394306672727,-0.3126717323863894,-0.31439095245651533,-0.31579990661485002,-0.31689720439412067,-0.31768176289425992,-0.31815280785109673,-0.31830987440046188,-0.3181528075369518,-0.31768176226690015,-0.31689720345540517,-0.31579990536756336,-0.3143909509043632,-0.3126717305339925,-0.31064394091961378,-0.30830958324496255,-0.30567096123942067,-0.302730678904513,-0.29949163794407263,-0.29595703490060921,-0.29213035800070741,-0.28801538371256902,-0.28361617301909381,-0.27893706741018093,-0.27398268459820146,-0.26875791396087512,-0.26326791171604313,-0.25751809583310609,-0.25151414068614181,-0.24526197145398207,-0.23876775827277902,-0.23203791014682326,-0.22507906862363344,-0.21789810123954942,-0.21050209474230322,-0.20289834809725657,-0.19509436528420157,-0.18709784789184114,-0.17891668751725012,-0.17055895797782161,-0.16203290734338549,-0.15334694979636004,-0.1445096573279693,-0.13552975127872294,-0.12641609373150892,-0.11717767876578532,-0.10782362358151219,-0.098363159501575911,-0.088805622861587843,-0.079160445796051387,-0.069437146929982305,-0.059645321985175227,-0.049794634310388636,-0.039894805344783416,-0.029955605024038344,-0.019986842138604289,-0.0099983546536117421,1.1950049240080918e-14,0.009998354653636906,0.019986842138630747,0.029955605024065836,0.039894805344811587,0.049794634310417703,0.059645321985205564,0.069437146930012766,0.079160445796082599,0.088805622861619193,0.098363159501607567,0.10782362358154511,0.11717767876581843,0.1264160937315417,0.1355297512787563,0.14450965732800214,0.15334694979639263,0.16203290734341766,0.17055895797785331,0.17891668751728118,0.18709784789187128,0.19509436528423152,0.20289834809728605,0.21050209474233283,0.2178981012395782,0.22507906862366189,0.2320379101468511,0.23876775827280633,0.2452619714540088,0.25151414068616773,0.25751809583313079,0.26326791171606634,0.2687579139608971,0.27398268459822256,0.2789370674102008,0.28361617301911263,0.28801538371258639,0.29213035800072351,0.29595703490062397,0.29949163794408612,0.30273067890452554,0.30567096123943194,0.3083095832449726,0.3106439409196225,0.31267173053399999,0.31439095090436947,0.31579990536756841,0.31689720345540895,0.31768176226690265,0.31815280753695296,0.31830987440046182,0.31815280785109551,0.31768176289425748,0.31689720439411706,0.31579990661484508,0.31439095245650894,0.3126717323863818,0.31064394306671855,0.30830958568035627,0.30567096395578941,0.30273068189366747,0.29949164119696092,0.2959570384073324,0.29213036175053653,0.28801538769396112,0.28361617721971238,0.27893707181691602,0.27398268919719243,0.2687579187375308,0.26326791665507004,0.25751810091853194,0.25151414590134152,0.24526197678170716,0.23876776369518476,0.23203791564550097,0.2250790741796404,0.21789810683344044,0.21050210035416575,0.20289835370674028,0.19509437087055728,0.18709785343395552,0.17891669299367985,0.17055896336683155,0.16203291262298658,0.15334695494434772,0.14450966232196086,0.13552975609619911,0.12641609834984927,0.11717768316231239,0.1078236277335294,0.098363163386409699,0.088805626456628289,0.07916044907879051,0.069437149878057672,0.059645324576411328,0.049794636522834446,0.03989480715675596,0.029955606414162565,0.019986843085853231,0.0099983551373470075,0],"z":[-0.21762144041414,-0.21549121012912481,-0.21336097984410965,-0.21123074955909443,-0.20910051927407927,-0.20697028898906408,-0.20078811991652884,-0.19460595084399357,-0.18842378177145835,-0.18224161269892311,-0.17605944362638787,-0.16643048954893322,-0.15680153547147857,-0.14717258139402389,-0.13754362731656924,-0.12791467323911462,-0.1157814832708321,-0.10364829330254957,-0.091515103334267101,-0.079381913365984574,-0.067248723397702062,-0.053798978709754253,-0.040349234021806409,-0.026899489333858571,-0.01344974464591076,4.2037079396295813e-11,0.013449744729520329,0.02689948941700358,0.040349234104486827,0.053798978791970001,0.067248723479453251,0.079381913446367677,0.09151510341328209,0.10364829338019652,0.11578148334711094,0.12791467331402528,0.13754362738928391,0.14717258146454254,0.15680153553980117,0.1664304896150598,0.17605944369031842,0.18224161275995107,0.18842378182958375,0.1946059508992164,0.20078811996884907,0.20697028903848175,0.20910051932004819,0.21123074960161464,0.21336097988318109,0.21549121016474754,0.21762144044631399,0.21549121015749448,0.21336097986867494,0.21123074957985544,0.2091005192910359,0.2069702890022164,0.20078811992573145,0.19460595084924659,0.18842378177276164,0.18224161269627667,0.17605944361979173,0.16643048953846029,0.15680153545712883,0.14717258137579739,0.13754362729446593,0.12791467321313449,0.11578148324126231,0.10364829326939012,0.091515103297517941,0.079381913325645884,0.067248723353773701,0.053798978662721729,0.040349233971669757,0.026899489280617781,0.0134497445895658,-1.0148617161974393e-10,-0.013449744791416517,-0.02689948948134686,-0.040349234171277198,-0.053798978861207554,-0.067248723551137896,-0.079381913519707178,-0.091515103488276323,-0.10364829345684559,-0.11578148342541489,-0.12791467339398416,-0.13754362747001392,-0.14717258154604368,-0.15680153562207344,-0.1664304896981032,-0.17605944377413296,-0.18224161284361046,-0.18842378191308795,-0.19460595098256542,-0.20078812005204286,-0.20697028912152032,-0.20910051940201385,-0.21123074968250732,-0.21336097996300085,-0.21549121024349435,-0.21762144052398785,-0.21549121023580131,-0.21336097994761477,-0.21123074965942823,-0.20910051937124169,-0.20697028908305515,-0.20078812000630974,-0.19460595092956434,-0.18842378185281899,-0.18224161277607359,-0.17605944369932819,-0.16643048961685722,-0.15680153553438628,-0.14717258145191531,-0.13754362736944437,-0.12791467328697342,-0.11578148331314567,-0.10364829333931791,-0.091515103365490208,-0.079381913391662451,-0.067248723417834708,-0.053798978724119158,-0.04034923403040358,-0.026899489336687999,-0.013449744642972449,5.0743129073764846e-11,0.013449744743897898,0.026899489437052667,0.040349234130207433,0.053798978823362126,0.067248723516516895,0.079381913488693209,0.091515103460869524,0.10364829343304582,0.11578148340522214,0.12791467337739837,0.13754362745721849,0.1471725815370386,0.15680153561685872,0.16643048969667881,0.17605944377649893,0.18224161284974061,0.18842378192298226,0.19460595099622396,0.20078812006946567,0.20697028914270735,0.20910051942673091,0.21123074971075445,0.21336097999477799,0.21549121027880153,0.21762144056282509,0.21549121027517501,0.2133609799875249,0.21123074969987482,0.20910051941222471,0.20697028912457463,0.20078812004790683,0.19460595097123906,0.18842378189457126,0.18224161281790344,0.17605944374123561,0.16643048965837909,0.15680153557552257,0.14717258149266602,0.13754362740980949,0.12791467332695297,0.11578148335229778,0.10364829337764256,0.091515103402987366,0.079381913428332285,0.067248723453677092,0.053798978758737966,0.040349234063798832,0.026899489368859709,0.013449744673920572,-2.1018554260003521e-11,-0.013449744715725387,-0.026899489410432218,-0.040349234105139048,-0.053798978799845888,-0.067248723494552715,-0.079381913468523871,-0.091515103442494874,-0.10364829341646602,-0.11578148339043717,-0.12791467336440832,-0.13754362744616683,-0.14717258152792534,-0.15680153560968382,-0.16643048969144233,-0.17605944377320082,-0.18224161284841739,-0.1884237819236339,-0.19460595099885047,-0.20078812007406693,-0.20697028914928348,-0.20910051943520921,-0.21123074972113492,-0.21336098000706066,-0.2154912102929864,-0.21762144057891211,-0.21549121029298643,-0.21336098000706072,-0.21123074972113498,-0.2091005194352093,-0.20697028914928359,-0.20078812007406707,-0.1946059509988505,-0.18842378192363399,-0.18224161284841744,-0.1760594437732009,-0.16643048969144236,-0.1568015356096838,-0.14717258152792545,-0.13754362744616688,-0.12791467336440834,-0.11578148339043723,-0.10364829341646611,-0.091515103442494999,-0.079381913468523885,-0.06724872349455277,-0.053798978799845937,-0.040349234105139097,-0.026899489410432263,-0.013449744715725425,-2.1018593305968154e-11,0.013449744673920539,0.026899489368859671,0.040349234063798804,0.053798978758737931,0.067248723453677064,0.079381913428332243,0.091515103402987422,0.10364829337764259,0.11578148335229778,0.12791467332695294,0.13754362740980952,0.14717258149266607,0.1568015355755224,0.16643048965837895,0.17605944374123553,0.18224161281790335,0.18842378189457121,0.19460595097123901,0.20078812004790686,0.20697028912457469,0.20910051941222479,0.21123074969987488,0.21336097998752498,0.21549121027517509,0.2176214405628252,0.21549121027880166,0.2133609799947781,0.21123074971075459,0.20910051942673105,0.20697028914270751,0.20078812006946584,0.19460595099622413,0.18842378192298245,0.18224161284974075,0.17605944377649907,0.16643048969667892,0.15680153561685875,0.14717258153703883,0.13754362745721865,0.12791467337739851,0.11578148340522222,0.10364829343304593,0.091515103460869648,0.079381913488693362,0.067248723516517075,0.05379897882336232,0.040349234130207565,0.026899489437052813,0.013449744743898054,5.0743302508103812e-11,-0.013449744642972267,-0.026899489336687836,-0.040349234030403407,-0.053798978724118977,-0.067248723417834541,-0.079381913391662284,-0.091515103365490041,-0.10364829333931777,-0.11578148331314553,-0.12791467328697326,-0.13754362736944425,-0.14717258145191522,-0.15680153553438597,-0.16643048961685694,-0.17605944369932794,-0.18224161277607337,-0.18842378185281877,-0.19460595092956418,-0.20078812000630963,-0.20697028908305504,-0.20910051937124163,-0.21123074965942817,-0.21336097994761474,-0.21549121023580131,-0.21762144052398785],"line":{"color":"#FF0000","width":4,"dash":"dot"},"showlegend":false,"scene":"scene","marker":{"color":"rgba(227,119,194,1)","line":{"color":"rgba(227,119,194,1)"}},"error_y":{"color":"rgba(227,119,194,1)"},"error_x":{"color":"rgba(227,119,194,1)"},"frame":null},{"colorbar":{"title":{"font":{"size":12,"color":"black"},"text":"Time","side":"top"},"ticklen":2,"len":0.90000000000000002,"thickness":15,"x":1.02,"xanchor":"left","y":0.5,"yanchor":"middle","tickvals":[],"ticktext":[],"ticks":"","lenmode":"fraction"},"colorscale":[[0,"#ADD8E6"],[0.5,"#566CF2"],[1,"#0000FF"]],"showscale":true,"type":"heatmap","z":[[0.5,1,1.5]],"x":[[0.5,1,1.5]],"y":[[1]],"hoverinfo":"skip","opacity":0,"xaxis":"x","yaxis":"y","frame":null},{"colorbar":{"title":{"font":{"size":12,"color":"black"},"text":".","side":"top"},"ticklen":2,"len":0.90000000000000002,"thickness":15,"x":1.05,"xanchor":"left","y":0.5,"yanchor":"middle","lenmode":"fraction"},"colorscale":[[0,"#FFE4E1"],[0.5,"#FF7270"],[1,"#FF0000"]],"showscale":true,"type":"heatmap","z":[[0.5,1,1.5]],"x":[[0.5,1,1.5]],"y":[[1]],"hoverinfo":"skip","opacity":0,"xaxis":"x","yaxis":"y","frame":null},{"x":[0,0.01,0.02,0.029999999999999999,0.040000000000000001,0.050000000000000003,0.059999999999999998,0.070000000000000007,0.080000000000000002,0.089999999999999997,0.10000000000000001,0.11,0.12,0.13,0.14000000000000001,0.14999999999999999,0.16,0.17000000000000001,0.17999999999999999,0.19,0.20000000000000001,0.20999999999999999,0.22,0.23000000000000001,0.23999999999999999,0.25,0.26000000000000001,0.27000000000000002,0.28000000000000003,0.28999999999999998,0.29999999999999999,0.31,0.32000000000000001,0.33000000000000002,0.34000000000000002,0.34999999999999998,0.35999999999999999,0.37,0.38,0.39000000000000001,0.40000000000000002,0.40999999999999998,0.41999999999999998,0.42999999999999999,0.44,0.45000000000000001,0.46000000000000002,0.46999999999999997,0.47999999999999998,0.48999999999999999,0.5,0.51000000000000001,0.52000000000000002,0.53000000000000003,0.54000000000000004,0.55000000000000004,0.56000000000000005,0.56999999999999995,0.57999999999999996,0.58999999999999997,0.59999999999999998,0.60999999999999999,0.62,0.63,0.64000000000000001,0.65000000000000002,0.66000000000000003,0.67000000000000004,0.68000000000000005,0.68999999999999995,0.69999999999999996,0.70999999999999996,0.71999999999999997,0.72999999999999998,0.73999999999999999,0.75,0.76000000000000001,0.77000000000000002,0.78000000000000003,0.79000000000000004,0.80000000000000004,0.81000000000000005,0.81999999999999995,0.82999999999999996,0.83999999999999997,0.84999999999999998,0.85999999999999999,0.87,0.88,0.89000000000000001,0.90000000000000002,0.91000000000000003,0.92000000000000004,0.93000000000000005,0.93999999999999995,0.94999999999999996,0.95999999999999996,0.96999999999999997,0.97999999999999998,0.98999999999999999,1,1.0001570670263213,1.0006281124703467,1.0014126714664966,1.0025099697491828,1.0039189244169164,1.0056381450010008,1.0076659348377568,1.0100002927429257,1.0126389149865966,1.0155791975667106,1.0188182387788958,1.0223528420801009,1.0261795192431966,1.0302944937994349,1.0346937047653684,1.0393728106505509,1.0443271937420644,1.049551964661644,1.0550419671909046,1.0607917833599063,1.066795738794035,1.0730479083139275,1.079542121782906,1.0862719701961592,1.093230812005656,1.1004117796745509,1.1078077864546148,1.1154115333799985,1.1232155164704314,1.1312120341367424,1.1393931947814013,1.1477509245865696,1.1562769754819839,1.164962933284807,1.1738002260034088,1.1827801322968867,1.1918937900819764,1.2011322052788564,1.2104862606872204,1.2199467249838509,1.2295042618328216,1.2391494390993323,1.2488727381580871,1.2586645632870279,1.2685152511371525,1.278415080269073,1.2883542807469031,1.2983230437800031,1.3083115314030722,1.318309886185032,1.3283082409571194,1.3382967285505916,1.3482654915344283,1.3582046919434261,1.3681045209870815,1.3779552087296818,1.3877470337320528,1.397470332645443,1.4071155097480821,1.4166730464149997,1.4261335105117576,1.4354875657028281,1.4447259806654276,1.4538396381997178,1.4628195442263805,1.4716568366626874,1.4803427941683052,1.4888688447522032,1.4972265742321775,1.5054077345386261,1.5134042518544009,1.5212082345826889,1.5288119811350651,1.5362079875320305,1.5433889548085309,1.5503477962171559,1.5570776442219019,1.5635718572755992,1.5698240263743186,1.5758279813822822,1.5815777971210425,1.5870677992169184,1.5922925697009165,1.5972469523556097,1.6019260578037033,1.6063252683332594,1.6104402424548192,1.6142669191859293,1.6178015220588422,1.6210405628474307,1.6239808450096487,1.6266194668421301,1.6289538243438193,1.6309816137858075,1.6327008339848326,1.634109788278207,1.6352070861982173,1.635991644844349,1.6364626899519779,1.6366197566564762,1.6364626899519772,1.6359916448443472,1.6352070861982146,1.6341097882782034,1.6327008339848281,1.6309816137858018,1.6289538243438126,1.6266194668421219,1.6239808450096398,1.6210405628474205,1.6178015220588304,1.6142669191859162,1.610440242454805,1.6063252683332438,1.6019260578036867,1.5972469523555917,1.5922925697008974,1.5870677992168984,1.5815777971210212,1.5758279813822602,1.5698240263742953,1.5635718572755748,1.5570776442218759,1.550347796217129,1.5433889548085025,1.5362079875320009,1.5288119811350342,1.5212082345826565,1.5134042518543673,1.5054077345385921,1.4972265742321433,1.4888688447521685,1.4803427941682694,1.4716568366626512,1.4628195442263436,1.4538396381996805,1.4447259806653905,1.4354875657027908,1.4261335105117199,1.4166730464149608,1.4071155097480432,1.3974703326454037,1.3877470337320137,1.3779552087296425,1.3681045209870419,1.3582046919433863,1.3482654915343881,1.3382967285505512,1.3283082409570803,1.3183098861849925,1.3083115314030334,1.2983230437799647,1.2883542807468644,1.2784150802690342,1.2685152511371123,1.2586645632869882,1.2488727381580478,1.2391494390992923,1.2295042618327818,1.2199467249838125,1.2104862606871825,1.2011322052788191,1.1918937900819404,1.1827801322968519,1.173800226003374,1.1649629332847729,1.1562769754819513,1.1477509245865374,1.13939319478137,1.131212034136712,1.1232155164704012,1.1154115333799695,1.1078077864545861,1.1004117796745227,1.0932308120056284,1.0862719701961325,1.0795421217828809,1.0730479083139035,1.0667957387940117,1.0607917833598846,1.0550419671908848,1.0495519646616254,1.0443271937420471,1.0393728106505351,1.0346937047653539,1.0302944937994223,1.0261795192431853,1.0223528420800909,1.0188182387788869,1.0155791975667028,1.0126389149865902,1.0100002927429201,1.0076659348377526,1.0056381450009977,1.0039189244169142,1.0025099697491815,1.0014126714664957,1.0006281124703462,1.0001570670263211,1],"y":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-0.0099983551373498888,-0.019986843085858921,-0.029955606414171092,-0.039894807156767249,-0.049794636522848525,-0.059645324576427933,-0.069437149878076948,-0.079160449078811548,-0.088805626456650549,-0.098363163386433708,-0.10782362773355453,-0.11717768316233802,-0.12641609834987574,-0.13552975609622614,-0.14450966232198917,-0.15334695494437647,-0.16203291262301595,-0.17055896336686072,-0.1789166929937091,-0.18709785343398522,-0.19509437087058731,-0.2028983537067694,-0.21050210035419403,-0.21789810683346886,-0.22507907417966791,-0.23203791564552759,-0.23876776369521011,-0.24526197678173126,-0.25151414590136478,-0.2575181009185542,-0.26326791665509147,-0.26875791873755123,-0.27398268919721169,-0.27893707181693478,-0.28361617721973004,-0.28801538769397755,-0.29213036175055207,-0.29595703840734716,-0.29949164119697452,-0.30273068189367996,-0.30567096395580096,-0.30830958568036648,-0.31064394306672727,-0.3126717323863894,-0.31439095245651533,-0.31579990661485002,-0.31689720439412067,-0.31768176289425992,-0.31815280785109673,-0.31830987440046188,-0.3181528075369518,-0.31768176226690015,-0.31689720345540517,-0.31579990536756336,-0.3143909509043632,-0.3126717305339925,-0.31064394091961378,-0.30830958324496255,-0.30567096123942067,-0.302730678904513,-0.29949163794407263,-0.29595703490060921,-0.29213035800070741,-0.28801538371256902,-0.28361617301909381,-0.27893706741018093,-0.27398268459820146,-0.26875791396087512,-0.26326791171604313,-0.25751809583310609,-0.25151414068614181,-0.24526197145398207,-0.23876775827277902,-0.23203791014682326,-0.22507906862363344,-0.21789810123954942,-0.21050209474230322,-0.20289834809725657,-0.19509436528420157,-0.18709784789184114,-0.17891668751725012,-0.17055895797782161,-0.16203290734338549,-0.15334694979636004,-0.1445096573279693,-0.13552975127872294,-0.12641609373150892,-0.11717767876578532,-0.10782362358151219,-0.098363159501575911,-0.088805622861587843,-0.079160445796051387,-0.069437146929982305,-0.059645321985175227,-0.049794634310388636,-0.039894805344783416,-0.029955605024038344,-0.019986842138604289,-0.0099983546536117421,1.1950049240080918e-14,0.009998354653636906,0.019986842138630747,0.029955605024065836,0.039894805344811587,0.049794634310417703,0.059645321985205564,0.069437146930012766,0.079160445796082599,0.088805622861619193,0.098363159501607567,0.10782362358154511,0.11717767876581843,0.1264160937315417,0.1355297512787563,0.14450965732800214,0.15334694979639263,0.16203290734341766,0.17055895797785331,0.17891668751728118,0.18709784789187128,0.19509436528423152,0.20289834809728605,0.21050209474233283,0.2178981012395782,0.22507906862366189,0.2320379101468511,0.23876775827280633,0.2452619714540088,0.25151414068616773,0.25751809583313079,0.26326791171606634,0.2687579139608971,0.27398268459822256,0.2789370674102008,0.28361617301911263,0.28801538371258639,0.29213035800072351,0.29595703490062397,0.29949163794408612,0.30273067890452554,0.30567096123943194,0.3083095832449726,0.3106439409196225,0.31267173053399999,0.31439095090436947,0.31579990536756841,0.31689720345540895,0.31768176226690265,0.31815280753695296,0.31830987440046182,0.31815280785109551,0.31768176289425748,0.31689720439411706,0.31579990661484508,0.31439095245650894,0.3126717323863818,0.31064394306671855,0.30830958568035627,0.30567096395578941,0.30273068189366747,0.29949164119696092,0.2959570384073324,0.29213036175053653,0.28801538769396112,0.28361617721971238,0.27893707181691602,0.27398268919719243,0.2687579187375308,0.26326791665507004,0.25751810091853194,0.25151414590134152,0.24526197678170716,0.23876776369518476,0.23203791564550097,0.2250790741796404,0.21789810683344044,0.21050210035416575,0.20289835370674028,0.19509437087055728,0.18709785343395552,0.17891669299367985,0.17055896336683155,0.16203291262298658,0.15334695494434772,0.14450966232196086,0.13552975609619911,0.12641609834984927,0.11717768316231239,0.1078236277335294,0.098363163386409699,0.088805626456628289,0.07916044907879051,0.069437149878057672,0.059645324576411328,0.049794636522834446,0.03989480715675596,0.029955606414162565,0.019986843085853231,0.0099983551373470075,0],"z":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"type":"scatter3d","mode":"lines","line":{"color":"black","width":4},"name":"Graph","showlegend":false,"marker":{"color":"rgba(23,190,207,1)","line":{"color":"rgba(23,190,207,1)"}},"error_y":{"color":"rgba(23,190,207,1)"},"error_x":{"color":"rgba(23,190,207,1)"},"frame":null}],"highlight":{"on":"plotly_click","persistent":false,"dynamic":false,"selectize":false,"opacityDim":0.20000000000000001,"selected":{"opacity":1},"debounce":0},"shinyEvents":["plotly_hover","plotly_click","plotly_selected","plotly_relayout","plotly_brushed","plotly_brushing","plotly_clickannotation","plotly_doubleclick","plotly_deselect","plotly_afterplot","plotly_sunburstclick"],"base_url":"https://plot.ly"},"evals":[],"jsHooks":[]}</script>
<p class="caption">Figure 2: Comparison of the exact and approximate solution at selected time points.</p>
</div>

---

## Convergence behavior | Calibration
*********

From Theorem 4, recall that the total error satisfies
`$$\|u-U_{h,m}^\tau\|_{L_2(\Gamma\times(0,T))}\lesssim\tau+h^\alpha + h^{\alpha-2}e^{-2\pi\sqrt{(1-\alpha/2)m}}.$$`

To observe the convergence behavior with respect to `$\tau$`, `$h$`, and `$m$`, we need to calibrate the discretization parameters. That essentially means that we set
`$$\tau = h^\alpha = h^{\alpha-2}e^{-2\pi\sqrt{(1-\alpha/2)m}}$$`
and solve for the other two parameters when the other is the one of interest.

**Example**: Convergence with respect to `$h$`.

- For a given `$h$`, set `$\tau = h^\alpha$` and `$m = \lceil\log_{\text{e}}^2(h)/(\pi^2(1-\alpha/2))\rceil$`.

Therefore.

`$$\|u-U_{h,m}^\tau\|_{L_2(\Gamma\times(0,T))}\lesssim C_h h^\alpha.$$`

---

## Convergence behavior | Results
*********

<div class="figure" style="text-align: center">
<img src="data_files/p_all.png" alt="Figure 3: Comparison between theoretical and observed convergence behavior for the error `$\|u-U_{h,m}^\tau\|_{L_2(\Gamma\times(0,T))}$`." width="90%" />
<p class="caption">Figure 3: Comparison between theoretical and observed convergence behavior for the error `$\|u-U_{h,m}^\tau\|_{L_2(\Gamma\times(0,T))}$`.</p>
</div>

---

# Part II

#### Optimal Control

---

## Problem setting
*********

Let `$u_d$` be the desired state, `$z$` denote the control variable, and  `$\mu>0$` a regularization parameter. We are concerned with the following PDE-constrained optimization problem: Find
`$$\min\; J(u, z),\quad J(u, z)=  \frac{1}{2}\int_0^T\left(\left\|u-u_d\right\|_{L_2(\Gamma)}^2+\mu\|z\|_{L_2(\Gamma)}^2\right) dt\tag{20}$$`
subject to the fractional diffusion equation

.content-box-gray[
$$
`\begin{cases}
\partial_t u(s,t) + (\kappa^2 - \Delta_\Gamma)^{\alpha/2} u(s,t) & = f(s,t)+z(s,t), \quad (s,t) \in \Gamma \times (0, T), \\
u(s,0) & = u_0(s), \quad s \in \Gamma,
\end{cases}`
\tag{21}
$$
]

where `$u$` satisfies the Kirchhoff vertex conditions \eqref{eq:Kcondfirstpart}, and `$z$` satisfies the control constraints 
`\begin{align}
\label{control_constraints}
\tag{22}
    a(s,t)\leq z(s,t)\leq b(s,t)\quad\text{ a.e. } (s,t)\in\Gamma \times(0, T).
\end{align}`

---

## Adjoint state
*********

The solution `$p=p(z)$` of

.content-box-gray[
$$
`\begin{cases}
    -\partial_t p(s,t) + (\kappa^2 - \Delta_\Gamma)^{\alpha/2} p(s,t) &= u(s,t)-u_d(s,t),  \quad (s,t) \in \Gamma \times (0, T), \\
    p(s,T) &= 0,  \quad s \in \Gamma,
\end{cases}`
\tag{23}
$$
]

is called the fractional adjoint state associated to `$u = u(z)$`

---

## Projection formula
*********

The optimal control variable `$\bar{z}$` is related to the optimal adjoint state `$\bar{p}$` via the projection formula [Trö10].
`\begin{align}
\tag{24}
\label{proj_formula}
    \bar{z}  = \min\left\{b ,\max\left\{a ,-\bar{p}/\mu \right\}\right\}.
\end{align}`

We rely in the following result.

<div class="content-box-myblue">
Lemma
</div>

.content-box-gray[
A triple `$(u, p, z)$` is optimal for `$(20)$` - `$(22)$` if and only if `$u$` and `$p$` satisfy the state and adjoint equations, respectively, and `$z$` satisfies \eqref{proj_formula}.
]

---

## Error estimates
*********

<div class="content-box-myblue">
Theorem 5
</div>

.content-box-gray[
Let `$\alpha\in[0,2]$` and `$\bar{u}$` be the solution to `$(21)$` corresponding to the optimal control `$\bar{z}$` of `$(20)$` - `$(22)$`. Let `$\bar{U}_{h,m}^\tau$` denote the piecewise linear approximation of the optimal discrete state obtained from the discrete scheme after the rational approximation. Let `$\bar{Z}_{h,m}^\tau$` denote the corresponding piecewise constant approximation of the optimal discrete control. If `$f,u_d\in L_2((0,T);\dot{H}^\beta(\Gamma)) \cap L_\infty((0,T);L_2(\Gamma))$` for `$\beta<1$` and `$u_0\in\dot{H}^{\alpha}(\Gamma)$` , then

`$$\|\bar{u}-\bar{U}_{h,m}^\tau\|_{L_2(\Gamma\times(0,T))}\lesssim\tau+h^\alpha + h^{\alpha-2}e^{-2\pi\sqrt{(1-\alpha/2)m}}$$`

and

`$$\|\bar{z}-\bar{Z}_{h,m}^\tau\|_{L_2(\Gamma\times(0,T))}\lesssim\tau+h^\alpha + h^{\alpha-2}e^{-2\pi\sqrt{(1-\alpha/2)m}}.$$`
]

---

## Forward-backward sweep method
*********

At a high level, FBSM follows these steps.

a. *Initialization:* Choose an initial approximation for `$\bar{z}$`.

b. *State solve:* Using `$\bar{z}$`, solve `$(21)$` to obtain `$\bar{u}$`.

c. *Adjoint solve:* Using `$\bar{u}$`, solve `$(23)$` to obtain `$\bar{p}$`.

d. *Control update:* Update `$\bar{z}$` via the projection formula \eqref{proj_formula}.

e. *Iteration:* Repeat steps b - d until convergence.

---

## Fully discrete FBSM
*********

1 *Initialization:* Initialize `$\mathbf{\bar{Z}}\in \mathbb{R}^{N_{h}\times (N+1)}$`.

2 *State solve:* Given `$\mathbf{\bar{Z}}$`, compute `$\mathbf{\bar{U}}\in \mathbb{R}^{N_{h}\times (N+1)}$` with the iteration

$$
`\begin{cases}
  \mathbf{\bar{U}}_{k+1}  &= \mathbf{R}\mathbf{C}\mathbf{\bar{U}}_k+\tau \mathbf{R}(\mathbf{F}_{k+1}+\mathbf{C}\mathbf{\bar{Z}}_{k+1}),\quad k = 0,\dots, N-1,\\
    \mathbf{\bar{U}}_{0} & = [u_0(s_1), \dots, u_0(s_{N_h})]^\top.
\end{cases}`
\tag{25}
$$

3 *Adjoint solve:* Given `$\mathbf{\bar{U}}$` from Step 2, compute `$\mathbf{\bar{P}}\in \mathbb{R}^{N_{h}\times (N+1)}$` with the iteration
$$
`\begin{cases}
    \mathbf{\bar{P}}_{k} & = \mathbf{R}\mathbf{C}\mathbf{\bar{P}}_{k+1}+\tau \mathbf{R}(\mathbf{C}\mathbf{\bar{U}}_{k+1}-\mathbf{D}_{k+1}),\quad k = N-1,\dots, 0,\\
    \mathbf{\bar{P}}_{N} & = \mathbf{0}.
\end{cases}`
\tag{26}
$$

4 *Control update:* Given `$\mathbf{\bar{P}}$` from Step 3, update 
`$$\mathbf{\bar{Z}} = \max\{\mathbf{A},\min\{\mathbf{B},-\mathbf{\bar{P}}/\mu\}\}\quad \text{(entry-wise)}.$$`

5 *Iteration:* Repeat steps 2-4 until convergence.

---

## Convergence analysis of the FBSM
*********

The unfolded iterations in `$(25)$` and `$(26)$` can equivalently be written in block-matrix form as

and

---

## Matrix vs Vector form
*********

$$
`\begin{cases}
    (1) \text{ Initialize } \mathbf{\bar{Z}},\\
    (2) \text{ Compute }\mathbf{\bar{U}} \text{ by }\mathbf{\bar{U}}_{k+1}  = \mathbf{R}(\mathbf{C}\mathbf{\bar{U}}_k+\tau (\mathbf{F}_{k+1}+\mathbf{C} \mathbf{\bar{Z}}_{k+1})),\\
    (3)\text{ Compute }\mathbf{\bar{P}}\text{ by }\mathbf{\bar{P}}_{k}  = \mathbf{R}(\mathbf{C}\mathbf{\bar{P}}_{k+1}+\tau (\mathbf{C} \mathbf{\bar{U}}_{k+1}-\mathbf{D}_{k+1})),\\
    (4)\text{ Update } \mathbf{\bar{Z}} = \max\{\mathbf{A},\min\{\mathbf{B},-\mathbf{\bar{P}}/\mu\}\},\\
    (5)\text{ Repeat }(2) - (4) \text{ until convergence},
\end{cases}`
\quad
`\begin{cases}
     (1) \text{ Initialize } \mathbf{\bar{z}},\\
    (2) \text{ Compute }\mathbf{\bar{u}} = \mathbf{h} + \mathbf{S}_{\mathrm{F}}\mathbf{\hat{R}}(\mathbf{f}+\mathbf{M}\mathbf{\bar{z}}),\\
    (3) \text{ Compute }\mathbf{\bar{p}}  = \mathbf{S}_{\mathrm{B}}\mathbf{\hat{R}}(\mathbf{M}\mathbf{\bar{u}} - \mathbf{d}),\\
    (4)\text{ Update }\mathbf{\bar{z}}  = \max\{\mathbf{a}, \min\{\mathbf{b}, -\mathbf{\bar{p}}/\mu\}\},\\
    (5)\text{ Repeat }(2) - (4) \text{ until convergence},
\end{cases}`
$$

where

`\begin{align*}
 \mathbf{\bar{u}} = \text{vec}(\mathbf{\bar{U}}),\quad 
\mathbf{\bar{p}} = \text{vec}(\mathbf{\bar{P}}),\quad
\mathbf{\bar{z}} = \text{vec}(\mathbf{\bar{Z}}),\quad \mathbf{f} = \text{vec}(\mathbf{F}),\quad
\mathbf{d} =\text{vec}(\mathbf{D}), 
\end{align*}`

`\begin{align*}
\mathbf{a} =\text{vec}(\mathbf{A}),\quad
\mathbf{b} = \text{vec}(\mathbf{B}),\quad \mathbf{h}= [\mathbf{\bar{U}}_{0}^\top ((\mathbf{R}\mathbf{C})^{1}\mathbf{\bar{U}}_{0})^\top ((\mathbf{R}\mathbf{C})^{2} \mathbf{\bar{U}}_{0})^\top\dots ((\mathbf{R}\mathbf{C})^{N}\mathbf{\bar{U}}_{0})^\top]^\top,
\end{align*}`
`\begin{align*}
\mathbf{M} = \mathbf{I}_{N+1}\otimes  \mathbf{C},\quad \mathbf{\hat{J}}_{N+1} = \mathbf{J}_{N+1}\otimes \mathbf{I}_{N_h},\quad \mathbf{\hat{R}} = \mathbf{I}_{N+1}\otimes  \mathbf{R}.
\end{align*}`

---

## Fixed-point iteration | 1
*********

**Vectorized formulation**

`\begin{align*}
    \mathbf{\bar{z}}  =  \underbrace{\max\{\mathbf{a}, \min\{\mathbf{b}, -(\mathbf{S}_{\mathrm{B}}\mathbf{\hat{R}}\mathbf{M}\mathbf{h}+\mathbf{S}_{\mathrm{B}}\mathbf{\hat{R}}\mathbf{M}\mathbf{S}_{\mathrm{F}}\mathbf{\hat{R}}\mathbf{f}-\mathbf{S}_{\mathrm{B}}\mathbf{\hat{R}}\mathbf{d}+\mathbf{S}_{\mathrm{B}}\mathbf{\hat{R}}\mathbf{M}\mathbf{S}_{\mathrm{F}}\mathbf{\hat{R}}\mathbf{M}\mathbf{\bar{z}})/\mu\}\}}_{\mathfrak{T}(\mathbf{z})}.
\end{align*}`
The vectorized formulation naturally induces the iterative scheme `$\mathbf{\bar{z}}^{(n+1)}  = \mathfrak{T}(\mathbf{\bar{z}}^{(n)})$`.

**Matrix formulation**

Define the matrix-level counterpart of `$\mathfrak{T}$` as
`\begin{align*}
  \mathcal{T}(\mathbf{X}) = \text{vec}^{-1}(\mathfrak{T}(\text{vec}(\mathbf{X}))) = \text{vec}^{-1}(\mathfrak{T}(\mathbf{x})).
\end{align*}`
The corresponding iterative scheme then reads `$\mathbf{\bar{Z}}^{(n+1)}  = \mathcal{T}(\mathbf{\bar{Z}}^{(n)})$`.

---

## Fixed-point iteration | 2
*********
 
The quadrature-based norm, natural for the matrix formulation, and the weighted Euclidean norm, natural for the vectorized formulation, are equivalent up to the factor `$\sqrt{\tau}$`:
`$$\|\mathbf{X}\|_{\mathfrak{q}}  = \sqrt{\tau}\|\mathbf{x}\|_{\mathbf{C}_{N+1}}.$$`

<div class="content-box-myblue">
Proposition 1
</div>

.content-box-gray[
If `$\mu\kappa^{4\beta}>1$`, then `$\mathcal{T}$` is a contraction with respect to the `$\|\cdot\|_{\mathfrak{q}}$` norm and `$\mathfrak{T}$` is a contraction with respect to the `$\mathbf{C}_{N+1}$`-weighted norm, both with contraction constant `$\gamma =  1/(\mu\kappa^{4\beta})$`.
]

By the Banach fixed-point theorem, `$(\mathbf{\bar{z}}^{(n)})_{n\in\mathbb{N}}$` converges to a unique fixed point `$\mathbf{\bar{z}}^\star$`, which uniquely determines the optimal state via `$\mathbf{\bar{u}}^{\star} = \mathbf{h} + \mathbf{S}_{\mathrm{F}}\mathbf{\hat{R}}(\mathbf{f}+\mathbf{M}\mathbf{\bar{z}}^{\star})$`.

---

## Idea of the proof 
*********
 
Let `$\mathbf{X}, \mathbf{Y}\in\mathbb{R}^{N_h\times(N+1)}$` and `$\mathbf{x} =\text{vec}(\mathbf{X}),\mathbf{y} = \text{vec}(\mathbf{Y})\in \mathbb{R}^{(N+1)N_h}$` be their vectorized forms. Then

`\begin{align}
    \|\mathcal{T}(\mathbf{X}) - \mathcal{T}(\mathbf{Y})\|_{\mathfrak{q}} & =  \|\text{vec}^{-1}(\mathfrak{T}(\mathbf{x})) - \text{vec}^{-1}(\mathfrak{T}(\mathbf{y}))\|_{\mathfrak{q}}\\
    & =  \|\text{vec}^{-1}(\mathfrak{T}(\mathbf{x})-\mathfrak{T}(\mathbf{y}))\|_{\mathfrak{q}}\\
    & = \sqrt{\tau}\|\mathfrak{T}(\mathbf{x})-\mathfrak{T}(\mathbf{y})\|_{\mathbf{C}_{N+1}}.\label{Lip1}
\end{align}`
From the Lipschitz property of the componentwise projection operator `$\Pi(\mathbf{x}) := \max\{\mathbf{a}, \min\{\mathbf{b}, -\mathbf{x}/\mu\}\}$`, we have
`\begin{align}
    \|\mathfrak{T}(\mathbf{x})-\mathfrak{T}(\mathbf{y})\|_{\mathbf{C}_{N+1}} &\leq (1/\mu)\| \mathbf{S}_{\mathrm{B}}\mathbf{\hat{R}}\mathbf{M}\mathbf{S}_{\mathrm{F}}\mathbf{\hat{R}}\mathbf{M}\mathbf{x}-\mathbf{S}_{\mathrm{B}}\mathbf{\hat{R}}\mathbf{M}\mathbf{S}_{\mathrm{F}}\mathbf{\hat{R}}\mathbf{M}\mathbf{y}\|_{\mathbf{C}_{N+1}}\\
    &\leq (1/\mu)\| \mathbf{S}_{\mathrm{B}}\mathbf{\hat{R}}\mathbf{M}\mathbf{S}_{\mathrm{F}}\mathbf{\hat{R}}\mathbf{M}\|_{\mathbf{C}_{N+1}}\|\mathbf{x}-\mathbf{y}\|_{\mathbf{C}_{N+1}}\\
    &= \gamma\|\mathbf{x}-\mathbf{y}\|_{\mathbf{C}_{N+1}},\label{Lip2}
\end{align}`
where `$\gamma = (1/\mu)\|\boldsymbol{\mathfrak{L}}\|_{\mathbf{C}_{N+1}}$` and `$\boldsymbol{\mathfrak{L}} = \mathbf{S}_{\mathrm{B}}\mathbf{\hat{R}}\mathbf{M}\mathbf{S}_{\mathrm{F}}\mathbf{\hat{R}}\mathbf{M}$`.

---

## Example
*********

With `$N=3$`, matrix `$\boldsymbol{\mathfrak{L}}$` has the form

Define a scalar matrix `$\mathbf{T}$` as `$\mathbf{T}  = \begin{bmatrix}\omega^2+\omega^4+\omega^6 & \omega^3+\omega^5 & \omega^4\\\omega^3+\omega^5 & \omega^2+\omega^4 & \omega^3\\\omega^4 & \omega^3 & \omega^2\\\end{bmatrix}$`, where `$\omega = \dfrac{1}{1+\tau\kappa^{2\beta}}<1.$`

One can show that `$\|\boldsymbol{\mathfrak{L}}\|_{\mathbf{C}_{N+1}} = \tau^2\|\mathbf{T}\|_2$` and `$\|\mathbf{T}\|_2  \leq \dfrac{1}{\tau^2\kappa^{4\beta}}$`. Consequently,
`$$\gamma = \dfrac{1}{\mu}\|\boldsymbol{\mathfrak{L}}\|_{\mathbf{C}_{N+1}} =  \dfrac{\tau^2}{\mu}\|\mathbf{T}\|_2 \leq \dfrac{\tau^2}{\mu} \dfrac{1}{\tau^2\kappa^{4\beta}} = \dfrac{1}{\mu\kappa^{4\beta}}.$$`

---

## Contraction constant
*********

<div class="figure" style="text-align: center">
<img src="data_files/fixedpointconvergence_combined2.png" alt="Figure 4: Comparison between the contraction constant and its upper bound." width="70%" />
<p class="caption">Figure 4: Comparison between the contraction constant and its upper bound.</p>
</div>

---

## Convergence behavior | 1
*********

<div class="figure" style="text-align: center">
<img src="data_files/p_all_u.png" alt="Figure 5: Comparison between theoretical and observed convergence behavior for the error `$\|\bar{u}-\bar{U}_{h,m}^\tau\|_{L_2(\Gamma\times(0,T))}$`." width="75%" />
<p class="caption">Figure 5: Comparison between theoretical and observed convergence behavior for the error `$\|\bar{u}-\bar{U}_{h,m}^\tau\|_{L_2(\Gamma\times(0,T))}$`.</p>
</div>

---

## Convergence behavior | 2
*********

<div class="figure" style="text-align: center">
<img src="data_files/p_all_z.png" alt="Figure 6: Comparison between theoretical and observed convergence behavior for the error `$\|\bar{z}- \bar{\mathcal{Z}}_{h,m}^\tau\|_{L_2(\Gamma\times(0,T))}$`." width="75%" />
<p class="caption">Figure 6: Comparison between theoretical and observed convergence behavior for the error `$\|\bar{z}- \bar{\mathcal{Z}}_{h,m}^\tau\|_{L_2(\Gamma\times(0,T))}$`.</p>
</div>

---

## More information
*********

<div class="figure" style="text-align: center">
<img src="Presentation_files/figure-html/unnamed-chunk-10-1.png" alt="Visit https://leninrafaelrierasegura.github.io/NAFDEMG/ for more information." width="25%" />
<p class="caption">Visit https://leninrafaelrierasegura.github.io/NAFDEMG/ for more information.</p>
</div>

---

## References
*********

[BK13] G. Berkolaiko and P. Kuchment. _Introduction to quantum graphs_.
Vol. 186. Mathematical Surveys and Monographs. American Mathematical
Society, Providence, RI, 2013, p. xiv+270. ISBN: 978-0-8218-9211-4.
DOI: [10.1090/surv/186](https://doi.org/10.1090%2Fsurv%2F186).

[BSW24] D. Bolin, A. B. Simas, and J. Wallin. "Gaussian Whittle-Matérn
fields on metric graphs". In: _Bernoulli_ 30.2 (2024), pp. 1611-1639.
ISSN: 1350-7265,1573-9759. DOI:
[10.3150/23-bej1647](https://doi.org/10.3150%2F23-bej1647).

[Hen81] D. Henry. "Preliminaries". In: _Geometric Theory of Semilinear
Parabolic Equations_. Berlin, Heidelberg: Springer Berlin Heidelberg,
1981, pp. 3-40. ISBN: 978-3-540-38528-8. DOI:
[10.1007/BFb0089649](https://doi.org/10.1007%2FBFb0089649).

[Trö10] F. Tröltzsch. _Optimal control of partial differential
equations_. Vol. 112. Graduate Studies in Mathematics. Theory, methods
and applications, Translated from the 2005 German original by Jürgen
Sprekels. American Mathematical Society, Providence, RI, 2010, p.
xvi+399. ISBN: 978-0-8218-4904-0. DOI:
[10.1090/gsm/112](https://doi.org/10.1090%2Fgsm%2F112).